SmallHyperbolic/data/triangle_groups.json

[
    {
        "name": "G^{6,40,40}_0",
        "name_utf8": "G⁶'⁴⁰'⁴⁰₀",
        "half_girth_type": [
            2,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b*a*b^-1*a^-1",
            "(c*b^-1*c*b)^2",
            "(c^-1*b^-1*c*b^-1)^2",
            "(a*c^-1*a*c)^2",
            "(a^-1*c^-1*a*c^-1)^2"
        ],
        "order1": 6,
        "order2": 40,
        "order3": 40,
        "index": 0,
        "presentation_length": 45,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "a^-1 * c * b * c * a^-1 * c * b * c^-1",
            "b * c * a^-1 * c * b * c * a^-1 * c^-1"
        ],
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 0,
        "L2_quotients": [],
        "quotients": {
            "B_{2}(3)": 1,
            "Alt(7)": 2
        },
        "alternating_quotients": [
            5,
            7
        ],
        "maximal_degree_alternating_quotients": 28,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "Alt(7)": 2,
            "B₂(3)": 1
        },
        "quotients_plain": {
            "B2(3)": 1,
            "Alt(7)": 2
        }
    },
    {
        "name": "G^{6,40,48}_0",
        "name_utf8": "G⁶'⁴⁰'⁴⁸₀",
        "half_girth_type": [
            2,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b*a*b^-1*a^-1",
            "(c*b^-1*c*b)^2",
            "(c^-1*b^-1*c*b^-1)^2",
            "(a*c)^2*(a^-1*c^-1)^2"
        ],
        "order1": 6,
        "order2": 40,
        "order3": 48,
        "index": 0,
        "presentation_length": 37,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "b * c * a * c^-1 * b * c^-1 * a^-1 * c^-1",
            "a^-1 * c * b * c * a * c * b * c^-1"
        ],
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 1,
        "L2_quotients": [
            "L_2(3^2)"
        ],
        "quotients": {
            "A_{3}(3)": 1,
            "B_{2}(3)": 3
        },
        "alternating_quotients": [
            3,
            5,
            6
        ],
        "maximal_degree_alternating_quotients": 28,
        "L2_quotients_utf8": [
            "L₂(3²)"
        ],
        "quotients_utf8": {
            "A₃(3)": 1,
            "B₂(3)": 3
        },
        "quotients_plain": {
            "B2(3)": 3,
            "A3(3)": 1
        }
    },
    {
        "name": "G^{6,40,54}_0",
        "name_utf8": "G⁶'⁴⁰'⁵⁴₀",
        "half_girth_type": [
            2,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b*a*b^-1*a^-1",
            "(c*b^-1*c*b)^2",
            "(c^-1*b^-1*c*b^-1)^2",
            "a*c*a^-1*c^-1*a^-1*c*a*c^-1",
            "(a*c*a^-1*c)^3"
        ],
        "order1": 6,
        "order2": 40,
        "order3": 54,
        "index": 0,
        "presentation_length": 49,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "a * c^-1 * b^-1 * c^-1 * a * c * b * c",
            "b^-1 * c * a^-1 * c^-1 * b * c^-1 * a * c"
        ],
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {
            "B_{2}(3)": 2,
            "Alt(10)": 4,
            "{}^2A_{4}(4)": 1
        },
        "alternating_quotients": [
            3,
            5,
            10,
            15,
            20,
            25
        ],
        "maximal_degree_alternating_quotients": 28,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "²A₄(4)": 1,
            "Alt(10)": 4,
            "B₂(3)": 2
        },
        "quotients_plain": {
            "B2(3)": 2,
            "Alt(10)": 4,
            "2A4(4)": 1
        }
    },
    {
        "name": "G^{6,40,54}_2",
        "name_utf8": "G⁶'⁴⁰'⁵⁴₂",
        "half_girth_type": [
            2,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b*a*b^-1*a^-1",
            "(c*b^-1*c*b)^2",
            "(c^-1*b^-1*c*b^-1)^2",
            "c*a*c^-1*a^-1*c^-1*a*c*a^-1",
            "(c*a*c^-1*a)^3"
        ],
        "order1": 6,
        "order2": 40,
        "order3": 54,
        "index": 2,
        "presentation_length": 49,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "b * c * a * c^-1 * b * c * a^-1 * c",
            "a * c^-1 * b^-1 * c * a^-1 * c * b^-1 * c"
        ],
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {
            "Alt(9)": 2,
            "A_{3}(3)": 1,
            "{}^2A_{3}(9)": 1
        },
        "alternating_quotients": [
            3,
            5,
            9
        ],
        "maximal_degree_alternating_quotients": 28,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "Alt(9)": 2,
            "²A₃(9)": 1,
            "A₃(3)": 1
        },
        "quotients_plain": {
            "Alt(9)": 2,
            "A3(3)": 1,
            "2A3(9)": 1
        }
    },
    {
        "name": "G^{6,48,48}_0",
        "name_utf8": "G⁶'⁴⁸'⁴⁸₀",
        "half_girth_type": [
            2,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b*a*b^-1*a^-1",
            "(c*b)^2*(c^-1*b^-1)^2",
            "(a*c)^2*(a^-1*c^-1)^2"
        ],
        "order1": 6,
        "order2": 48,
        "order3": 48,
        "index": 0,
        "presentation_length": 29,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "a^-1 * c^-1 * b * c",
            "b * c * a * c"
        ],
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 3,
        "L2_quotients": [],
        "quotients": {
            "A_{3}(3)": 1,
            "B_{2}(3)": 1,
            "{}^2A_{3}(9)": 1
        },
        "alternating_quotients": [
            3,
            4
        ],
        "maximal_degree_alternating_quotients": 28,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "²A₃(9)": 1,
            "A₃(3)": 1,
            "B₂(3)": 1
        },
        "quotients_plain": {
            "B2(3)": 1,
            "A3(3)": 1,
            "2A3(9)": 1
        }
    },
    {
        "name": "G^{6,48,54}_0",
        "name_utf8": "G⁶'⁴⁸'⁵⁴₀",
        "half_girth_type": [
            2,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b*a*b^-1*a^-1",
            "(c*b)^2*(c^-1*b^-1)^2",
            "a*c*a^-1*c^-1*a^-1*c*a*c^-1",
            "(a*c*a^-1*c)^3"
        ],
        "order1": 6,
        "order2": 48,
        "order3": 54,
        "index": 0,
        "presentation_length": 41,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "b * c * a * c^-1 * b * c * a * c^-1",
            "a^-1 * c * b * c * a^-1 * c^-1 * b^-1 * c^-1"
        ],
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 3,
        "L2_quotients": [],
        "quotients": {
            "B_{2}(3)": 2,
            "Alt(10)": 1,
            "Alt(11)": 2
        },
        "alternating_quotients": [
            3,
            4,
            10,
            11,
            14,
            15,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28
        ],
        "maximal_degree_alternating_quotients": 28,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "Alt(10)": 1,
            "Alt(11)": 2,
            "B₂(3)": 2
        },
        "quotients_plain": {
            "B2(3)": 2,
            "Alt(10)": 1,
            "Alt(11)": 2
        }
    },
    {
        "name": "G^{6,48,54}_2",
        "name_utf8": "G⁶'⁴⁸'⁵⁴₂",
        "half_girth_type": [
            2,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b*a*b^-1*a^-1",
            "(c*b)^2*(c^-1*b^-1)^2",
            "c*a*c^-1*a^-1*c^-1*a*c*a^-1",
            "(c*a*c^-1*a)^3"
        ],
        "order1": 6,
        "order2": 48,
        "order3": 54,
        "index": 2,
        "presentation_length": 41,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "b * c * a * c^-1 * b * c * a^-1 * c",
            "a * c^-1 * b^-1 * c^-1 * a^-1 * c^-1 * b^-1 * c"
        ],
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 3,
        "L2_quotients": [],
        "quotients": {
            "A_{3}(3)": 1,
            "{}^2A_{3}(9)": 1,
            "{}^2A_{4}(4)": 1
        },
        "alternating_quotients": [
            3,
            4
        ],
        "maximal_degree_alternating_quotients": 28,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "²A₄(4)": 1,
            "²A₃(9)": 1,
            "A₃(3)": 1
        },
        "quotients_plain": {
            "A3(3)": 1,
            "2A3(9)": 1,
            "2A4(4)": 1
        }
    },
    {
        "name": "G^{6,54,54}_0",
        "name_utf8": "G⁶'⁵⁴'⁵⁴₀",
        "half_girth_type": [
            2,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b*a*b^-1*a^-1",
            "c*b*c^-1*b^-1*c^-1*b*c*b^-1",
            "(c*b*c^-1*b)^3",
            "a*c*a^-1*c^-1*a^-1*c*a*c^-1",
            "(a*c*a^-1*c)^3"
        ],
        "order1": 6,
        "order2": 54,
        "order3": 54,
        "index": 0,
        "presentation_length": 53,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "a * c^-1 * b^-1 * c^-1 * a * c * b * c",
            "b^-1 * c^-1 * a^-1 * c * b * c^-1 * a * c"
        ],
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 3,
        "L2_quotients": [],
        "quotients": {
            "Alt(9)": 2,
            "{}^2A_{4}(4)": 2
        },
        "alternating_quotients": [
            3,
            9,
            27
        ],
        "maximal_degree_alternating_quotients": 28,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "²A₄(4)": 2,
            "Alt(9)": 2
        },
        "quotients_plain": {
            "Alt(9)": 2,
            "2A4(4)": 2
        }
    },
    {
        "name": "G^{6,54,54}_2",
        "name_utf8": "G⁶'⁵⁴'⁵⁴₂",
        "half_girth_type": [
            2,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b*a*b^-1*a^-1",
            "c*b*c^-1*b^-1*c^-1*b*c*b^-1",
            "(c*b*c^-1*b)^3",
            "c*a*c^-1*a^-1*c^-1*a*c*a^-1",
            "(c*a*c^-1*a)^3"
        ],
        "order1": 6,
        "order2": 54,
        "order3": 54,
        "index": 2,
        "presentation_length": 53,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "a^-1 * c * b^-1 * c * a * c^-1 * b * c",
            "b^-1 * c * a^-1 * c * b * c^-1 * a * c"
        ],
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 3,
        "L2_quotients": [],
        "quotients": {
            "Alt(9)": 2,
            "A_{3}(3)": 1,
            "{}^2A_{3}(9)": 1,
            "{}^2A_{4}(4)": 1
        },
        "alternating_quotients": [
            3,
            9,
            12,
            15,
            18,
            21,
            24,
            27
        ],
        "maximal_degree_alternating_quotients": 28,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "²A₄(4)": 1,
            "Alt(9)": 2,
            "²A₃(9)": 1,
            "A₃(3)": 1
        },
        "quotients_plain": {
            "Alt(9)": 2,
            "A3(3)": 1,
            "2A3(9)": 1,
            "2A4(4)": 1
        }
    },
    {
        "name": "G^{6,54,54}_8",
        "name_utf8": "G⁶'⁵⁴'⁵⁴₈",
        "half_girth_type": [
            2,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b*a*b^-1*a^-1",
            "b*c*b^-1*c^-1*b^-1*c*b*c^-1",
            "(b*c*b^-1*c)^3",
            "a*c*a^-1*c^-1*a^-1*c*a*c^-1",
            "(a*c*a^-1*c)^3"
        ],
        "order1": 6,
        "order2": 54,
        "order3": 54,
        "index": 8,
        "presentation_length": 53,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "a^-1 * c^-1 * b * c",
            "b^-1 * c^-1 * a * c"
        ],
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 3,
        "L2_quotients": [],
        "quotients": {
            "Alt(9)": 4,
            "B_{2}(3)": 2
        },
        "alternating_quotients": [
            3,
            9,
            12,
            18,
            21,
            24,
            27
        ],
        "maximal_degree_alternating_quotients": 28,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "Alt(9)": 4,
            "B₂(3)": 2
        },
        "quotients_plain": {
            "Alt(9)": 4,
            "B2(3)": 2
        }
    },
    {
        "name": "G^{8,40,40}_0",
        "name_utf8": "G⁸'⁴⁰'⁴⁰₀",
        "half_girth_type": [
            2,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b*a*b*a",
            "(c*b^-1*c*b)^2",
            "(c^-1*b^-1*c*b^-1)^2",
            "(a*c^-1*a*c)^2",
            "(a^-1*c^-1*a*c^-1)^2"
        ],
        "order1": 8,
        "order2": 40,
        "order3": 40,
        "index": 0,
        "presentation_length": 45,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "a^-1 * c^-1 * b * c",
            "b * c^-1 * a^-1 * c"
        ],
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 0,
        "L2_quotients": [
            "L_2(inf^4)"
        ],
        "quotients": {
            "B_{2}(3)": 1,
            "Alt(10)": 2,
            "C_{2}(4)": 2,
            "B_{2}(5)": 5,
            "Alt(11)": 2
        },
        "alternating_quotients": [
            5,
            6,
            10,
            11,
            15,
            20,
            21,
            25,
            26
        ],
        "maximal_degree_alternating_quotients": 28,
        "L2_quotients_utf8": [
            "L₂(inf⁴)"
        ],
        "quotients_utf8": {
            "C₂(4)": 2,
            "Alt(10)": 2,
            "B₂(5)": 5,
            "Alt(11)": 2,
            "B₂(3)": 1
        },
        "quotients_plain": {
            "B2(3)": 1,
            "B2(5)": 5,
            "C2(4)": 2,
            "Alt(10)": 2,
            "Alt(11)": 2
        }
    },
    {
        "name": "G^{8,40,48}_0",
        "name_utf8": "G⁸'⁴⁰'⁴⁸₀",
        "half_girth_type": [
            2,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b*a*b*a",
            "(c*b^-1*c*b)^2",
            "(c^-1*b^-1*c*b^-1)^2",
            "(a*c)^2*(a^-1*c^-1)^2"
        ],
        "order1": 8,
        "order2": 40,
        "order3": 48,
        "index": 0,
        "presentation_length": 37,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 0,
        "L2_quotients": [
            "L_2(3^2)"
        ],
        "quotients": {
            "B_{2}(5)": 4
        },
        "alternating_quotients": [
            5,
            6
        ],
        "maximal_degree_alternating_quotients": 28,
        "L2_quotients_utf8": [
            "L₂(3²)"
        ],
        "quotients_utf8": {
            "B₂(5)": 4
        },
        "quotients_plain": {
            "B2(5)": 4
        }
    },
    {
        "name": "G^{8,40,54}_0",
        "name_utf8": "G⁸'⁴⁰'⁵⁴₀",
        "half_girth_type": [
            2,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b*a*b*a",
            "(c*b^-1*c*b)^2",
            "(c^-1*b^-1*c*b^-1)^2",
            "a*c*a^-1*c^-1*a^-1*c*a*c^-1",
            "(a*c*a^-1*c)^3"
        ],
        "order1": 8,
        "order2": 40,
        "order3": 54,
        "index": 0,
        "presentation_length": 49,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 0,
        "L2_quotients": [
            "L_2(3^2)"
        ],
        "quotients": {
            "B_{2}(3)": 2,
            "M_{12}": 4
        },
        "alternating_quotients": [
            6
        ],
        "maximal_degree_alternating_quotients": 28,
        "L2_quotients_utf8": [
            "L₂(3²)"
        ],
        "quotients_utf8": {
            "M₁₂": 4,
            "B₂(3)": 2
        },
        "quotients_plain": {
            "M12": 4,
            "B2(3)": 2
        }
    },
    {
        "name": "G^{8,40,54}_2",
        "name_utf8": "G⁸'⁴⁰'⁵⁴₂",
        "half_girth_type": [
            2,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b*a*b*a",
            "(c*b^-1*c*b)^2",
            "(c^-1*b^-1*c*b^-1)^2",
            "c*a*c^-1*a^-1*c^-1*a*c*a^-1",
            "(c*a*c^-1*a)^3"
        ],
        "order1": 8,
        "order2": 40,
        "order3": 54,
        "index": 2,
        "presentation_length": 49,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "b * c * a * c^-1 * b * c^-1 * a * c",
            "a^-1 * c * b^-1 * c * a^-1 * c * b^-1 * c"
        ],
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 0,
        "L2_quotients": [
            "L_2(3^2)"
        ],
        "quotients": {
            "A_{3}(3)": 2,
            "B_{2}(3)": 2,
            "M_{12}": 4,
            "Alt(10)": 3,
            "{}^2A_{4}(4)": 1
        },
        "alternating_quotients": [
            6,
            10,
            12,
            15,
            16,
            21,
            22,
            27,
            28
        ],
        "maximal_degree_alternating_quotients": 28,
        "L2_quotients_utf8": [
            "L₂(3²)"
        ],
        "quotients_utf8": {
            "²A₄(4)": 1,
            "M₁₂": 4,
            "Alt(10)": 3,
            "A₃(3)": 2,
            "B₂(3)": 2
        },
        "quotients_plain": {
            "M12": 4,
            "B2(3)": 2,
            "A3(3)": 2,
            "Alt(10)": 3,
            "2A4(4)": 1
        }
    },
    {
        "name": "G^{8,48,48}_0",
        "name_utf8": "G⁸'⁴⁸'⁴⁸₀",
        "half_girth_type": [
            2,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b*a*b*a",
            "(c*b)^2*(c^-1*b^-1)^2",
            "(a*c)^2*(a^-1*c^-1)^2"
        ],
        "order1": 8,
        "order2": 48,
        "order3": 48,
        "index": 0,
        "presentation_length": 29,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 2,
        "L2_quotients": [],
        "quotients": {
            "B_{2}(3)": 3,
            "C_{3}(2)": 4,
            "Alt(11)": 1
        },
        "alternating_quotients": [
            3,
            4,
            5,
            11,
            19,
            25,
            28
        ],
        "maximal_degree_alternating_quotients": 28,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "C₃(2)": 4,
            "Alt(11)": 1,
            "B₂(3)": 3
        },
        "quotients_plain": {
            "B2(3)": 3,
            "Alt(11)": 1,
            "C3(2)": 4
        }
    },
    {
        "name": "G^{8,48,48}_1",
        "name_utf8": "G⁸'⁴⁸'⁴⁸₁",
        "half_girth_type": [
            2,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b*a*b*a",
            "(c*b)^2*(c^-1*b^-1)^2",
            "(a*c^-1)^2*(a^-1*c)^2"
        ],
        "order1": 8,
        "order2": 48,
        "order3": 48,
        "index": 1,
        "presentation_length": 29,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "b^-1 * c^-1 * a^-1 * c * b * c * a * c^-1",
            "a * c^-1 * b * c * a^-1 * c * b^-1 * c^-1"
        ],
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 2,
        "L2_quotients": [],
        "quotients": {
            "B_{2}(3)": 2,
            "C_{3}(2)": 1,
            "B_{2}(5)": 3,
            "Alt(11)": 1,
            "Alt(7)": 1
        },
        "alternating_quotients": [
            3,
            4,
            7,
            11,
            15,
            19,
            22,
            23,
            24,
            25,
            26,
            27,
            28
        ],
        "maximal_degree_alternating_quotients": 28,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "C₃(2)": 1,
            "B₂(5)": 3,
            "Alt(11)": 1,
            "Alt(7)": 1,
            "B₂(3)": 2
        },
        "quotients_plain": {
            "B2(3)": 2,
            "B2(5)": 3,
            "Alt(11)": 1,
            "C3(2)": 1,
            "Alt(7)": 1
        }
    },
    {
        "name": "G^{8,48,54}_0",
        "name_utf8": "G⁸'⁴⁸'⁵⁴₀",
        "half_girth_type": [
            2,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b*a*b*a",
            "(c*b)^2*(c^-1*b^-1)^2",
            "a*c*a^-1*c^-1*a^-1*c*a*c^-1",
            "(a*c*a^-1*c)^3"
        ],
        "order1": 8,
        "order2": 48,
        "order3": 54,
        "index": 0,
        "presentation_length": 41,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 2,
        "L2_quotients": [],
        "quotients": {
            "Alt(9)": 1,
            "B_{2}(3)": 2
        },
        "alternating_quotients": [
            3,
            4,
            9
        ],
        "maximal_degree_alternating_quotients": 28,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "Alt(9)": 1,
            "B₂(3)": 2
        },
        "quotients_plain": {
            "Alt(9)": 1,
            "B2(3)": 2
        }
    },
    {
        "name": "G^{8,48,54}_2",
        "name_utf8": "G⁸'⁴⁸'⁵⁴₂",
        "half_girth_type": [
            2,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b*a*b*a",
            "(c*b)^2*(c^-1*b^-1)^2",
            "c*a*c^-1*a^-1*c^-1*a*c*a^-1",
            "(c*a*c^-1*a)^3"
        ],
        "order1": 8,
        "order2": 48,
        "order3": 54,
        "index": 2,
        "presentation_length": 41,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 2,
        "L2_quotients": [],
        "quotients": {
            "B_{2}(3)": 2,
            "Alt(10)": 2,
            "C_{3}(2)": 1,
            "{}^2A_{4}(4)": 1
        },
        "alternating_quotients": [
            3,
            4,
            10,
            13,
            20,
            26,
            28
        ],
        "maximal_degree_alternating_quotients": 28,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "²A₄(4)": 1,
            "C₃(2)": 1,
            "Alt(10)": 2,
            "B₂(3)": 2
        },
        "quotients_plain": {
            "B2(3)": 2,
            "Alt(10)": 2,
            "C3(2)": 1,
            "2A4(4)": 1
        }
    },
    {
        "name": "G^{8,54,54}_0",
        "name_utf8": "G⁸'⁵⁴'⁵⁴₀",
        "half_girth_type": [
            2,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b*a*b*a",
            "c*b*c^-1*b^-1*c^-1*b*c*b^-1",
            "(c*b*c^-1*b)^3",
            "a*c*a^-1*c^-1*a^-1*c*a*c^-1",
            "(a*c*a^-1*c)^3"
        ],
        "order1": 8,
        "order2": 54,
        "order3": 54,
        "index": 0,
        "presentation_length": 53,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 2,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [
            3,
            4
        ],
        "maximal_degree_alternating_quotients": 28,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{8,54,54}_2",
        "name_utf8": "G⁸'⁵⁴'⁵⁴₂",
        "half_girth_type": [
            2,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b*a*b*a",
            "c*b*c^-1*b^-1*c^-1*b*c*b^-1",
            "(c*b*c^-1*b)^3",
            "c*a*c^-1*a^-1*c^-1*a*c*a^-1",
            "(c*a*c^-1*a)^3"
        ],
        "order1": 8,
        "order2": 54,
        "order3": 54,
        "index": 2,
        "presentation_length": 53,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "a^-1 * c^-1 * b^-1 * c",
            "b * c * a * c"
        ],
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 2,
        "L2_quotients": [],
        "quotients": {
            "Alt(9)": 2,
            "A_{3}(3)": 5,
            "B_{2}(3)": 2,
            "Alt(10)": 12,
            "C_{3}(2)": 4,
            "{}^2A_{3}(9)": 1,
            "Alt(11)": 4,
            "{}^2A_{4}(4)": 1
        },
        "alternating_quotients": [
            3,
            4,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28
        ],
        "maximal_degree_alternating_quotients": 28,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "²A₄(4)": 1,
            "C₃(2)": 4,
            "Alt(9)": 2,
            "²A₃(9)": 1,
            "Alt(10)": 12,
            "A₃(3)": 5,
            "Alt(11)": 4,
            "B₂(3)": 2
        },
        "quotients_plain": {
            "Alt(9)": 2,
            "B2(3)": 2,
            "A3(3)": 5,
            "Alt(10)": 12,
            "Alt(11)": 4,
            "C3(2)": 4,
            "2A3(9)": 1,
            "2A4(4)": 1
        }
    },
    {
        "name": "G^{8,54,54}_8",
        "name_utf8": "G⁸'⁵⁴'⁵⁴₈",
        "half_girth_type": [
            2,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b*a*b*a",
            "b*c*b^-1*c^-1*b^-1*c*b*c^-1",
            "(b*c*b^-1*c)^3",
            "a*c*a^-1*c^-1*a^-1*c*a*c^-1",
            "(a*c*a^-1*c)^3"
        ],
        "order1": 8,
        "order2": 54,
        "order3": 54,
        "index": 8,
        "presentation_length": 53,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "a * c * b^-1 * c^-1 * a^-1 * c * b * c^-1",
            "b^-1 * c * a * c^-1 * b * c * a^-1 * c^-1"
        ],
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 2,
        "L2_quotients": [],
        "quotients": {
            "Alt(9)": 2,
            "B_{2}(3)": 2
        },
        "alternating_quotients": [
            3,
            4,
            9,
            18,
            27,
            28
        ],
        "maximal_degree_alternating_quotients": 28,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "Alt(9)": 2,
            "B₂(3)": 2
        },
        "quotients_plain": {
            "Alt(9)": 2,
            "B2(3)": 2
        }
    },
    {
        "name": "G^{14,14,14}_0",
        "name_utf8": "G¹⁴'¹⁴'¹⁴₀",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b * c^-1 * b^-1 * c * b",
            "a * c * a^-1 * c^-1 * a * c"
        ],
        "order1": 14,
        "order2": 14,
        "order3": 14,
        "index": 0,
        "presentation_length": 27,
        "hyperbolic": null,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": true,
        "abelianization_dimension": 0,
        "L2_quotients": [
            "L_2(7)"
        ],
        "quotients": {
            "{}^2A_{2}(9)": 1,
            "{}^2A_{2}(25)": 1
        },
        "alternating_quotients": [],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [
            "L₂(7)"
        ],
        "quotients_utf8": {
            "²A₂(25)": 1,
            "²A₂(9)": 1
        },
        "quotients_plain": {
            "2A2(25)": 1,
            "2A2(9)": 1
        }
    },
    {
        "name": "G^{14,14,14}_1",
        "name_utf8": "G¹⁴'¹⁴'¹⁴₁",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b * c^-1 * b^-1 * c * b",
            "a * c^-1 * a^-1 * c * a * c^-1"
        ],
        "order1": 14,
        "order2": 14,
        "order3": 14,
        "index": 1,
        "presentation_length": 27,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "c^-1 * a * b^-1 * a * c * a * b^-1 * a",
            "a^-1 * b * c * a * b^-1 * a * c^-1 * b"
        ],
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": true,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [
            3
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{14,14,14}_2",
        "name_utf8": "G¹⁴'¹⁴'¹⁴₂",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b * c^-1 * b^-1 * c * b",
            "c * a * c^-1 * a^-1 * c * a"
        ],
        "order1": 14,
        "order2": 14,
        "order3": 14,
        "index": 2,
        "presentation_length": 27,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "c^-1 * a * b^-1 * a",
            "a^-1 * b * c^-1 * b"
        ],
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": true,
        "abelianization_dimension": 0,
        "L2_quotients": [],
        "quotients": {
            "Alt(7)": 1
        },
        "alternating_quotients": [
            7
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "Alt(7)": 1
        },
        "quotients_plain": {
            "Alt(7)": 1
        }
    },
    {
        "name": "G^{14,14,14}_6",
        "name_utf8": "G¹⁴'¹⁴'¹⁴₆",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b^-1 * c^-1 * b * c * b^-1",
            "c * a * c^-1 * a^-1 * c * a"
        ],
        "order1": 14,
        "order2": 14,
        "order3": 14,
        "index": 6,
        "presentation_length": 27,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "c * a * b * a",
            "b^-1 * a^-1 * c * a"
        ],
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": true,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {
            "A_{2}(8)": 2
        },
        "alternating_quotients": [
            3
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "A₂(8)": 2
        },
        "quotients_plain": {
            "A2(8)": 2
        }
    },
    {
        "name": "G^{14,14,16}_0",
        "name_utf8": "G¹⁴'¹⁴'¹⁶₀",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b * c^-1 * b^-1 * c * b",
            "a * c * a * c^-1 * a^-1 * c^-1"
        ],
        "order1": 14,
        "order2": 14,
        "order3": 16,
        "index": 0,
        "presentation_length": 27,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "c * a * b * a",
            "a^-1 * b^-1 * c^-1 * b"
        ],
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 1,
        "L2_quotients": [
            "L_2(7)"
        ],
        "quotients": {
            "Alt(8) or A_{2}(4)": 1
        },
        "alternating_quotients": [
            3,
            8
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [
            "L₂(7)"
        ],
        "quotients_utf8": {
            "Alt(8) or A₂(4)": 1
        },
        "quotients_plain": {
            "Alt(8) or A2(4)": 1
        }
    },
    {
        "name": "G^{14,14,16}_1",
        "name_utf8": "G¹⁴'¹⁴'¹⁶₁",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b * c^-1 * b^-1 * c * b",
            "a * c^-1 * a * c * a^-1 * c"
        ],
        "order1": 14,
        "order2": 14,
        "order3": 16,
        "index": 1,
        "presentation_length": 27,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "c * a * b * a * c^-1 * a^-1 * b^-1 * a^-1",
            "b^-1 * a * c * a^-1 * b^-1 * a * c * a^-1"
        ],
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 0,
        "L2_quotients": [
            "L_2(7)"
        ],
        "quotients": {},
        "alternating_quotients": [],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [
            "L₂(7)"
        ],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{14,14,16}_4",
        "name_utf8": "G¹⁴'¹⁴'¹⁶₄",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b^-1 * c^-1 * b * c * b^-1",
            "a * c * a * c^-1 * a^-1 * c^-1"
        ],
        "order1": 14,
        "order2": 14,
        "order3": 16,
        "index": 4,
        "presentation_length": 27,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "c * a * b * a * c^-1 * a^-1 * b^-1 * a",
            "a^-1 * b * c^-1 * a * b * a * c * b^-1"
        ],
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 0,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{14,14,16}_5",
        "name_utf8": "G¹⁴'¹⁴'¹⁶₅",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b^-1 * c^-1 * b * c * b^-1",
            "a * c^-1 * a * c * a^-1 * c"
        ],
        "order1": 14,
        "order2": 14,
        "order3": 16,
        "index": 5,
        "presentation_length": 27,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "c * a * b * a * c^-1 * b * a * c^-1 * b * a^-1",
            "b * a^-1 * c^-1 * a * b^-1 * c^-1 * a * b * c * a^-1"
        ],
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [
            3
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{14,14,18}_0",
        "name_utf8": "G¹⁴'¹⁴'¹⁸₀",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b * c^-1 * b^-1 * c * b",
            "(a * c)^3",
            "(a * c^-1)^3"
        ],
        "order1": 14,
        "order2": 14,
        "order3": 18,
        "index": 0,
        "presentation_length": 33,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "c^-1 * a * b^-1 * a",
            "a^-1 * b * c^-1 * b"
        ],
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {
            "{}^2A_{2}(9)": 1
        },
        "alternating_quotients": [
            3
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "²A₂(9)": 1
        },
        "quotients_plain": {
            "2A2(9)": 1
        }
    },
    {
        "name": "G^{14,14,18}_4",
        "name_utf8": "G¹⁴'¹⁴'¹⁸₄",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b^-1 * c^-1 * b * c * b^-1",
            "(a * c)^3",
            "(a * c^-1)^3"
        ],
        "order1": 14,
        "order2": 14,
        "order3": 18,
        "index": 4,
        "presentation_length": 33,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "a^-1 * b * c * b",
            "c * a * b^-1 * a"
        ],
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [
            3
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{14,14,24}_0",
        "name_utf8": "G¹⁴'¹⁴'²⁴₀",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b * c^-1 * b^-1 * c * b",
            "(a * c)^3",
            "a * c * a^-1 * c * a^-1 * c^-1 * a * c^-1"
        ],
        "order1": 14,
        "order2": 14,
        "order3": 24,
        "index": 0,
        "presentation_length": 35,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 1,
        "L2_quotients": [
            "L_2(7)"
        ],
        "quotients": {},
        "alternating_quotients": [
            3
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [
            "L₂(7)"
        ],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{14,14,24}_1",
        "name_utf8": "G¹⁴'¹⁴'²⁴₁",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b * c^-1 * b^-1 * c * b",
            "(a * c^-1)^3",
            "a * c^-1 * a^-1 * c^-1 * a^-1 * c * a * c"
        ],
        "order1": 14,
        "order2": 14,
        "order3": 24,
        "index": 1,
        "presentation_length": 35,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "c^-1 * a * b^-1 * a",
            "a^-1 * b * c^-1 * b"
        ],
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 1,
        "L2_quotients": [
            "L_2(7)"
        ],
        "quotients": {
            "{}^2A_{2}(25)": 1,
            "Alt(7)": 1
        },
        "alternating_quotients": [
            3,
            7
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [
            "L₂(7)"
        ],
        "quotients_utf8": {
            "²A₂(25)": 1,
            "Alt(7)": 1
        },
        "quotients_plain": {
            "2A2(25)": 1,
            "Alt(7)": 1
        }
    },
    {
        "name": "G^{14,14,24}_4",
        "name_utf8": "G¹⁴'¹⁴'²⁴₄",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b^-1 * c^-1 * b * c * b^-1",
            "(a * c)^3",
            "a * c * a^-1 * c * a^-1 * c^-1 * a * c^-1"
        ],
        "order1": 14,
        "order2": 14,
        "order3": 24,
        "index": 4,
        "presentation_length": 35,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "a^-1 * b * c * b",
            "c * a * b^-1 * a"
        ],
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {
            "Alt(8) or A_{2}(4)": 1,
            "M_{22}": 1
        },
        "alternating_quotients": [
            3,
            8
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "Alt(8) or A₂(4)": 1,
            "M₂₂": 1
        },
        "quotients_plain": {
            "M22": 1,
            "Alt(8) or A2(4)": 1
        }
    },
    {
        "name": "G^{14,14,24}_5",
        "name_utf8": "G¹⁴'¹⁴'²⁴₅",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b^-1 * c^-1 * b * c * b^-1",
            "(a * c^-1)^3",
            "a * c^-1 * a^-1 * c^-1 * a^-1 * c * a * c"
        ],
        "order1": 14,
        "order2": 14,
        "order3": 24,
        "index": 5,
        "presentation_length": 35,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "b * a^-1 * c * a^-1 * b^-1 * a * c^-1 * a",
            "c^-1 * a * b * a^-1 * c * a^-1 * b^-1 * a"
        ],
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {
            "Alt(7)": 1
        },
        "alternating_quotients": [
            3,
            7
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "Alt(7)": 1
        },
        "quotients_plain": {
            "Alt(7)": 1
        }
    },
    {
        "name": "G^{14,14,26}_0",
        "name_utf8": "G¹⁴'¹⁴'²⁶₀",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b * c^-1 * b^-1 * c * b",
            "(a * c)^3",
            "a * c * a^-1 * c * a^-1 * c * a^-1 * c^-1"
        ],
        "order1": 14,
        "order2": 14,
        "order3": 26,
        "index": 0,
        "presentation_length": 35,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [
            3
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{14,14,26}_1",
        "name_utf8": "G¹⁴'¹⁴'²⁶₁",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b * c^-1 * b^-1 * c * b",
            "(a * c^-1)^3",
            "a * c^-1 * a^-1 * c^-1 * a^-1 * c^-1 * a^-1 * c"
        ],
        "order1": 14,
        "order2": 14,
        "order3": 26,
        "index": 1,
        "presentation_length": 35,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "c^-1 * a * b^-1 * a",
            "a^-1 * b * c^-1 * b"
        ],
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 0,
        "L2_quotients": [],
        "quotients": {
            "A_{2}(9)": 1
        },
        "alternating_quotients": [
            14
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "A₂(9)": 1
        },
        "quotients_plain": {
            "A2(9)": 1
        }
    },
    {
        "name": "G^{14,14,26}_3",
        "name_utf8": "G¹⁴'¹⁴'²⁶₃",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b * c^-1 * b^-1 * c * b",
            "(c * a^-1)^3",
            "c * a^-1 * c^-1 * a^-1 * c^-1 * a^-1 * c^-1 * a"
        ],
        "order1": 14,
        "order2": 14,
        "order3": 26,
        "index": 3,
        "presentation_length": 35,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "c^-1 * a * b^-1 * a",
            "a^-1 * b * c^-1 * b"
        ],
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 0,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{14,14,26}_4",
        "name_utf8": "G¹⁴'¹⁴'²⁶₄",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b^-1 * c^-1 * b * c * b^-1",
            "(a * c)^3",
            "a * c * a^-1 * c * a^-1 * c * a^-1 * c^-1"
        ],
        "order1": 14,
        "order2": 14,
        "order3": 26,
        "index": 4,
        "presentation_length": 35,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "a^-1 * b * c * b",
            "c * a * b^-1 * a"
        ],
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 0,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{14,14,26}_5",
        "name_utf8": "G¹⁴'¹⁴'²⁶₅",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b^-1 * c^-1 * b * c * b^-1",
            "(a * c^-1)^3",
            "a * c^-1 * a^-1 * c^-1 * a^-1 * c^-1 * a^-1 * c"
        ],
        "order1": 14,
        "order2": 14,
        "order3": 26,
        "index": 5,
        "presentation_length": 35,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "b * a^-1 * c * a^-1 * b^-1 * a * c^-1 * a",
            "c^-1 * a * b * a^-1 * c * a^-1 * b^-1 * a"
        ],
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [
            3
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{14,14,26}_7",
        "name_utf8": "G¹⁴'¹⁴'²⁶₇",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b^-1 * c^-1 * b * c * b^-1",
            "(c * a^-1)^3",
            "c * a^-1 * c^-1 * a^-1 * c^-1 * a^-1 * c^-1 * a"
        ],
        "order1": 14,
        "order2": 14,
        "order3": 26,
        "index": 7,
        "presentation_length": 35,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "b * a^-1 * c * a^-1 * b^-1 * a * c^-1 * a",
            "c^-1 * a * b * a^-1 * c * a^-1 * b^-1 * a"
        ],
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [
            3
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{14,16,16}_0",
        "name_utf8": "G¹⁴'¹⁶'¹⁶₀",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b * c * b^-1 * c^-1 * b^-1",
            "a * c * a * c^-1 * a^-1 * c^-1"
        ],
        "order1": 14,
        "order2": 16,
        "order3": 16,
        "index": 0,
        "presentation_length": 27,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "b^-1 * a * c * b * a^-1 * c^-1",
            "b^-1 * c * a * b^-1 * c^-1 * a"
        ],
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 0,
        "L2_quotients": [
            "L_2(7)"
        ],
        "quotients": {},
        "alternating_quotients": [],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [
            "L₂(7)"
        ],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{14,16,16}_1",
        "name_utf8": "G¹⁴'¹⁶'¹⁶₁",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b * c * b^-1 * c^-1 * b^-1",
            "a * c^-1 * a * c * a^-1 * c"
        ],
        "order1": 14,
        "order2": 16,
        "order3": 16,
        "index": 1,
        "presentation_length": 27,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "a^-1 * b * c * a^-1 * b * a * c^-1 * a^-1 * b^-1 * a * c^-1 * b^-1",
            "c * a^-1 * b * a * c * a^-1 * b^-1 * a * c^-1 * a^-1 * b^-1 * a"
        ],
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [
            3,
            4
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{14,16,18}_0",
        "name_utf8": "G¹⁴'¹⁶'¹⁸₀",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b * c * b^-1 * c^-1 * b^-1",
            "(a * c)^3",
            "(a * c^-1)^3"
        ],
        "order1": 14,
        "order2": 16,
        "order3": 18,
        "index": 0,
        "presentation_length": 33,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "a * c * b^-1 * a^-1 * c * b",
            "c^-1 * a^-1 * b^-1 * c^-1 * a * b"
        ],
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [
            3
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{14,16,24}_0",
        "name_utf8": "G¹⁴'¹⁶'²⁴₀",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b * c * b^-1 * c^-1 * b^-1",
            "(a * c)^3",
            "a * c * a^-1 * c * a^-1 * c^-1 * a * c^-1"
        ],
        "order1": 14,
        "order2": 16,
        "order3": 24,
        "index": 0,
        "presentation_length": 35,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 1,
        "L2_quotients": [
            "L_2(7)"
        ],
        "quotients": {},
        "alternating_quotients": [
            3
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [
            "L₂(7)"
        ],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{14,16,24}_1",
        "name_utf8": "G¹⁴'¹⁶'²⁴₁",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b * c * b^-1 * c^-1 * b^-1",
            "(a * c^-1)^3",
            "a * c^-1 * a^-1 * c^-1 * a^-1 * c * a * c"
        ],
        "order1": 14,
        "order2": 16,
        "order3": 24,
        "index": 1,
        "presentation_length": 35,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [
            3,
            4
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{14,16,26}_0",
        "name_utf8": "G¹⁴'¹⁶'²⁶₀",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b * c * b^-1 * c^-1 * b^-1",
            "(a * c)^3",
            "a * c * a^-1 * c * a^-1 * c * a^-1 * c^-1"
        ],
        "order1": 14,
        "order2": 16,
        "order3": 26,
        "index": 0,
        "presentation_length": 35,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 0,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{14,16,26}_1",
        "name_utf8": "G¹⁴'¹⁶'²⁶₁",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b * c * b^-1 * c^-1 * b^-1",
            "(a * c^-1)^3",
            "a * c^-1 * a^-1 * c^-1 * a^-1 * c^-1 * a^-1 * c"
        ],
        "order1": 14,
        "order2": 16,
        "order3": 26,
        "index": 1,
        "presentation_length": 35,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [
            3
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{14,16,26}_3",
        "name_utf8": "G¹⁴'¹⁶'²⁶₃",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b * c * b^-1 * c^-1 * b^-1",
            "(c * a^-1)^3",
            "c * a^-1 * c^-1 * a^-1 * c^-1 * a^-1 * c^-1 * a"
        ],
        "order1": 14,
        "order2": 16,
        "order3": 26,
        "index": 3,
        "presentation_length": 35,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [
            3
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{14,16,26}_7",
        "name_utf8": "G¹⁴'¹⁶'²⁶₇",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b^-1 * c * b * c^-1 * b",
            "(c * a^-1)^3",
            "c * a^-1 * c^-1 * a^-1 * c^-1 * a^-1 * c^-1 * a"
        ],
        "order1": 14,
        "order2": 16,
        "order3": 26,
        "index": 7,
        "presentation_length": 35,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 0,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{14,18,18}_0",
        "name_utf8": "G¹⁴'¹⁸'¹⁸₀",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "(c * b)^3",
            "(c * b^-1)^3",
            "(a * c)^3",
            "(a * c^-1)^3"
        ],
        "order1": 14,
        "order2": 18,
        "order3": 18,
        "index": 0,
        "presentation_length": 39,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "a^-1 * b * c * b",
            "c * a * b^-1 * a"
        ],
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 2,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [
            3
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{14,18,24}_0",
        "name_utf8": "G¹⁴'¹⁸'²⁴₀",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "(c * b)^3",
            "(c * b^-1)^3",
            "(a * c)^3",
            "a * c * a^-1 * c * a^-1 * c^-1 * a * c^-1"
        ],
        "order1": 14,
        "order2": 18,
        "order3": 24,
        "index": 0,
        "presentation_length": 41,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "a^-1 * b * c * b",
            "c * a * b^-1 * a"
        ],
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 2,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [
            3
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{14,18,26}_0",
        "name_utf8": "G¹⁴'¹⁸'²⁶₀",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "(c * b)^3",
            "(c * b^-1)^3",
            "(a * c)^3",
            "a * c * a^-1 * c * a^-1 * c * a^-1 * c^-1"
        ],
        "order1": 14,
        "order2": 18,
        "order3": 26,
        "index": 0,
        "presentation_length": 41,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "a^-1 * b * c * b",
            "c * a * b^-1 * a"
        ],
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [
            3
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{14,18,26}_3",
        "name_utf8": "G¹⁴'¹⁸'²⁶₃",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "(c * b)^3",
            "(c * b^-1)^3",
            "(c * a^-1)^3",
            "c * a^-1 * c^-1 * a^-1 * c^-1 * a^-1 * c^-1 * a"
        ],
        "order1": 14,
        "order2": 18,
        "order3": 26,
        "index": 3,
        "presentation_length": 41,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "c^-1 * a * b^-1 * a",
            "a^-1 * b * c^-1 * b"
        ],
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [
            3
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{14,24,24}_0",
        "name_utf8": "G¹⁴'²⁴'²⁴₀",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "(c * b)^3",
            "c * b * c^-1 * b * c^-1 * b^-1 * c * b^-1",
            "(a * c)^3",
            "a * c * a^-1 * c * a^-1 * c^-1 * a * c^-1"
        ],
        "order1": 14,
        "order2": 24,
        "order3": 24,
        "index": 0,
        "presentation_length": 43,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "a^-1 * b * c * b",
            "c * a * b^-1 * a"
        ],
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 2,
        "L2_quotients": [
            "L_2(7)"
        ],
        "quotients": {
            "{}^2A_{3}(9)": 1,
            "Alt(8) or A_{2}(4)": 1,
            "J_{2}": 1,
            "Alt(7)": 1
        },
        "alternating_quotients": [
            3,
            7,
            8,
            22,
            28,
            29,
            31,
            35,
            36
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [
            "L₂(7)"
        ],
        "quotients_utf8": {
            "²A₃(9)": 1,
            "Alt(8) or A₂(4)": 1,
            "Alt(7)": 1,
            "J₂": 1
        },
        "quotients_plain": {
            "Alt(7)": 1,
            "J2": 1,
            "2A3(9)": 1,
            "Alt(8) or A2(4)": 1
        }
    },
    {
        "name": "G^{14,24,24}_1",
        "name_utf8": "G¹⁴'²⁴'²⁴₁",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "(c * b)^3",
            "c * b * c^-1 * b * c^-1 * b^-1 * c * b^-1",
            "(a * c^-1)^3",
            "a * c^-1 * a^-1 * c^-1 * a^-1 * c * a * c"
        ],
        "order1": 14,
        "order2": 24,
        "order3": 24,
        "index": 1,
        "presentation_length": 43,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 2,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [
            3,
            4
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{14,24,26}_0",
        "name_utf8": "G¹⁴'²⁴'²⁶₀",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "(c * b)^3",
            "c * b * c^-1 * b * c^-1 * b^-1 * c * b^-1",
            "(a * c)^3",
            "a * c * a^-1 * c * a^-1 * c * a^-1 * c^-1"
        ],
        "order1": 14,
        "order2": 24,
        "order3": 26,
        "index": 0,
        "presentation_length": 43,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "a^-1 * b * c * b",
            "c * a * b^-1 * a"
        ],
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [
            3
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{14,24,26}_1",
        "name_utf8": "G¹⁴'²⁴'²⁶₁",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "(c * b)^3",
            "c * b * c^-1 * b * c^-1 * b^-1 * c * b^-1",
            "(a * c^-1)^3",
            "a * c^-1 * a^-1 * c^-1 * a^-1 * c^-1 * a^-1 * c"
        ],
        "order1": 14,
        "order2": 24,
        "order3": 26,
        "index": 1,
        "presentation_length": 43,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [
            3
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{14,24,26}_3",
        "name_utf8": "G¹⁴'²⁴'²⁶₃",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "(c * b)^3",
            "c * b * c^-1 * b * c^-1 * b^-1 * c * b^-1",
            "(c * a^-1)^3",
            "c * a^-1 * c^-1 * a^-1 * c^-1 * a^-1 * c^-1 * a"
        ],
        "order1": 14,
        "order2": 24,
        "order3": 26,
        "index": 3,
        "presentation_length": 43,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [
            3
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{14,24,26}_7",
        "name_utf8": "G¹⁴'²⁴'²⁶₇",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "(c * b^-1)^3",
            "c * b^-1 * c^-1 * b^-1 * c^-1 * b * c * b",
            "(c * a^-1)^3",
            "c * a^-1 * c^-1 * a^-1 * c^-1 * a^-1 * c^-1 * a"
        ],
        "order1": 14,
        "order2": 24,
        "order3": 26,
        "index": 7,
        "presentation_length": 43,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "c^-1 * a * b^-1 * a",
            "a^-1 * b * c^-1 * b"
        ],
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [
            3
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{14,26,26}_0",
        "name_utf8": "G¹⁴'²⁶'²⁶₀",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "(c * b)^3",
            "c * b * c^-1 * b * c^-1 * b * c^-1 * b^-1",
            "(a * c)^3",
            "a * c * a^-1 * c * a^-1 * c * a^-1 * c^-1"
        ],
        "order1": 14,
        "order2": 26,
        "order3": 26,
        "index": 0,
        "presentation_length": 43,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "a^-1 * b * c * b",
            "c * a * b^-1 * a"
        ],
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 0,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{14,26,26}_1",
        "name_utf8": "G¹⁴'²⁶'²⁶₁",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "(c * b)^3",
            "c * b * c^-1 * b * c^-1 * b * c^-1 * b^-1",
            "(a * c^-1)^3",
            "a * c^-1 * a^-1 * c^-1 * a^-1 * c^-1 * a^-1 * c"
        ],
        "order1": 14,
        "order2": 26,
        "order3": 26,
        "index": 1,
        "presentation_length": 43,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [
            3
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{14,26,26}_3",
        "name_utf8": "G¹⁴'²⁶'²⁶₃",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "(c * b)^3",
            "c * b * c^-1 * b * c^-1 * b * c^-1 * b^-1",
            "(c * a^-1)^3",
            "c * a^-1 * c^-1 * a^-1 * c^-1 * a^-1 * c^-1 * a"
        ],
        "order1": 14,
        "order2": 26,
        "order3": 26,
        "index": 3,
        "presentation_length": 43,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [
            3
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{14,26,26}_4",
        "name_utf8": "G¹⁴'²⁶'²⁶₄",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "(c * b^-1)^3",
            "c * b^-1 * c^-1 * b^-1 * c^-1 * b^-1 * c^-1 * b",
            "(a * c)^3",
            "a * c * a^-1 * c * a^-1 * c * a^-1 * c^-1"
        ],
        "order1": 14,
        "order2": 26,
        "order3": 26,
        "index": 4,
        "presentation_length": 43,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [
            3
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{14,26,26}_5",
        "name_utf8": "G¹⁴'²⁶'²⁶₅",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "(c * b^-1)^3",
            "c * b^-1 * c^-1 * b^-1 * c^-1 * b^-1 * c^-1 * b",
            "(a * c^-1)^3",
            "a * c^-1 * a^-1 * c^-1 * a^-1 * c^-1 * a^-1 * c"
        ],
        "order1": 14,
        "order2": 26,
        "order3": 26,
        "index": 5,
        "presentation_length": 43,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "c^-1 * a * b^-1 * a",
            "a^-1 * b * c^-1 * b"
        ],
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 0,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [
            14
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{14,26,26}_15",
        "name_utf8": "G¹⁴'²⁶'²⁶₁5",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "(b * c^-1)^3",
            "b * c^-1 * b^-1 * c^-1 * b^-1 * c^-1 * b^-1 * c",
            "(c * a^-1)^3",
            "c * a^-1 * c^-1 * a^-1 * c^-1 * a^-1 * c^-1 * a"
        ],
        "order1": 14,
        "order2": 26,
        "order3": 26,
        "index": 15,
        "presentation_length": 43,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "c^-1 * a * b^-1 * a",
            "a^-1 * b * c^-1 * b"
        ],
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 0,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [
            13
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{16,16,16}_0",
        "name_utf8": "G¹⁶'¹⁶'¹⁶₀",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a^-1 * b^-1 * a^-1",
            "c * b * c * b^-1 * c^-1 * b^-1",
            "a * c * a * c^-1 * a^-1 * c^-1"
        ],
        "order1": 16,
        "order2": 16,
        "order3": 16,
        "index": 0,
        "presentation_length": 27,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "c * a * b * a",
            "a^-1 * b^-1 * c^-1 * b"
        ],
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {
            "{}^2A_{2}(9)": 1,
            "{}^2A_{2}(64)": 2,
            "{}^2A_{2}(81)": 2,
            "A_{2}(9)": 1,
            "J_{2}": 1
        },
        "alternating_quotients": [
            3,
            4
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "²A₂(9)": 1,
            "²A₂(81)": 2,
            "²A₂(64)": 2,
            "A₂(9)": 1,
            "J₂": 1
        },
        "quotients_plain": {
            "A2(9)": 1,
            "2A2(64)": 2,
            "J2": 1,
            "2A2(9)": 1,
            "2A2(81)": 2
        }
    },
    {
        "name": "G^{16,16,16}_1",
        "name_utf8": "G¹⁶'¹⁶'¹⁶₁",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a^-1 * b^-1 * a^-1",
            "c * b * c * b^-1 * c^-1 * b^-1",
            "a * c^-1 * a * c * a^-1 * c"
        ],
        "order1": 16,
        "order2": 16,
        "order3": 16,
        "index": 1,
        "presentation_length": 27,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "c * a * b * a * c^-1 * a^-1 * b^-1 * a^-1",
            "b * a * c^-1 * a^-1 * b^-1 * a * c * a^-1"
        ],
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 0,
        "L2_quotients": [],
        "quotients": {
            "{}^2A_{2}(9)": 2,
            "{}^2A_{2}(81)": 2,
            "A_{2}(3)": 1
        },
        "alternating_quotients": [
            5,
            29
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "²A₂(9)": 2,
            "²A₂(81)": 2,
            "A₂(3)": 1
        },
        "quotients_plain": {
            "A2(3)": 1,
            "2A2(81)": 2,
            "2A2(9)": 2
        }
    },
    {
        "name": "G^{16,16,18}_0",
        "name_utf8": "G¹⁶'¹⁶'¹⁸₀",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a^-1 * b^-1 * a^-1",
            "c * b * c * b^-1 * c^-1 * b^-1",
            "(a * c)^3",
            "(a * c^-1)^3"
        ],
        "order1": 16,
        "order2": 16,
        "order3": 18,
        "index": 0,
        "presentation_length": 33,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "b^-1 * a * c^-1 * b * a * c^-1",
            "a * c^-1 * b^-1 * a * c^-1 * b"
        ],
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {
            "A_{2}(9)": 3,
            "A_{2}(3)": 2
        },
        "alternating_quotients": [
            3,
            4
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "A₂(9)": 3,
            "A₂(3)": 2
        },
        "quotients_plain": {
            "A2(9)": 3,
            "A2(3)": 2
        }
    },
    {
        "name": "G^{16,16,24}_0",
        "name_utf8": "G¹⁶'¹⁶'²⁴₀",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a^-1 * b^-1 * a^-1",
            "c * b * c * b^-1 * c^-1 * b^-1",
            "(a * c)^3",
            "a * c * a^-1 * c * a^-1 * c^-1 * a * c^-1"
        ],
        "order1": 16,
        "order2": 16,
        "order3": 24,
        "index": 0,
        "presentation_length": 35,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {
            "A_{4}(2)": 1,
            "Alt(10)": 1
        },
        "alternating_quotients": [
            3,
            4,
            10,
            34,
            36
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "Alt(10)": 1,
            "A₄(2)": 1
        },
        "quotients_plain": {
            "Alt(10)": 1,
            "A4(2)": 1
        }
    },
    {
        "name": "G^{16,16,24}_1",
        "name_utf8": "G¹⁶'¹⁶'²⁴₁",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a^-1 * b^-1 * a^-1",
            "c * b * c * b^-1 * c^-1 * b^-1",
            "(a * c^-1)^3",
            "a * c^-1 * a^-1 * c^-1 * a^-1 * c * a * c"
        ],
        "order1": 16,
        "order2": 16,
        "order3": 24,
        "index": 1,
        "presentation_length": 35,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "b^-1 * a * c^-1 * b * a * c^-1",
            "a * c^-1 * b^-1 * a * c^-1 * b"
        ],
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {
            "Alt(9)": 1,
            "HS": 1
        },
        "alternating_quotients": [
            3,
            4,
            5,
            9,
            21,
            29,
            33,
            34
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "Alt(9)": 1,
            "HS": 1
        },
        "quotients_plain": {
            "Alt(9)": 1,
            "HS": 1
        }
    },
    {
        "name": "G^{16,16,26}_0",
        "name_utf8": "G¹⁶'¹⁶'²⁶₀",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a^-1 * b^-1 * a^-1",
            "c * b * c * b^-1 * c^-1 * b^-1",
            "(a * c)^3",
            "a * c * a^-1 * c * a^-1 * c * a^-1 * c^-1"
        ],
        "order1": 16,
        "order2": 16,
        "order3": 26,
        "index": 0,
        "presentation_length": 35,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [
            3,
            4
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{16,16,26}_1",
        "name_utf8": "G¹⁶'¹⁶'²⁶₁",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a^-1 * b^-1 * a^-1",
            "c * b * c * b^-1 * c^-1 * b^-1",
            "(a * c^-1)^3",
            "a * c^-1 * a^-1 * c^-1 * a^-1 * c^-1 * a^-1 * c"
        ],
        "order1": 16,
        "order2": 16,
        "order3": 26,
        "index": 1,
        "presentation_length": 35,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "b^-1 * a * c^-1 * b * a * c^-1",
            "a * c^-1 * b^-1 * a * c^-1 * b"
        ],
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 0,
        "L2_quotients": [
            "L_2(13)"
        ],
        "quotients": {},
        "alternating_quotients": [
            16,
            30
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [
            "L₂(13)"
        ],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{16,18,18}_0",
        "name_utf8": "G¹⁶'¹⁸'¹⁸₀",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a^-1 * b^-1 * a^-1",
            "(c * b)^3",
            "(c * b^-1)^3",
            "(a * c)^3",
            "(a * c^-1)^3"
        ],
        "order1": 16,
        "order2": 18,
        "order3": 18,
        "index": 0,
        "presentation_length": 39,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "b^-1 * a^-1 * c^-1 * a^-1 * b * a * c^-1 * a",
            "c^-1 * a * b * a * c^-1 * a * b * a"
        ],
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 2,
        "L2_quotients": [],
        "quotients": {
            "{}^2A_{2}(64)": 2,
            "A_{2}(9)": 3,
            "A_{2}(3)": 2
        },
        "alternating_quotients": [
            3,
            4
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "²A₂(64)": 2,
            "A₂(9)": 3,
            "A₂(3)": 2
        },
        "quotients_plain": {
            "A2(9)": 3,
            "A2(3)": 2,
            "2A2(64)": 2
        }
    },
    {
        "name": "G^{16,18,24}_0",
        "name_utf8": "G¹⁶'¹⁸'²⁴₀",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a^-1 * b^-1 * a^-1",
            "(c * b)^3",
            "(c * b^-1)^3",
            "(a * c)^3",
            "a * c * a^-1 * c * a^-1 * c^-1 * a * c^-1"
        ],
        "order1": 16,
        "order2": 18,
        "order3": 24,
        "index": 0,
        "presentation_length": 41,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 2,
        "L2_quotients": [],
        "quotients": {
            "Alt(10)": 1
        },
        "alternating_quotients": [
            3,
            4,
            10,
            19,
            34
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "Alt(10)": 1
        },
        "quotients_plain": {
            "Alt(10)": 1
        }
    },
    {
        "name": "G^{16,18,26}_0",
        "name_utf8": "G¹⁶'¹⁸'²⁶₀",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a^-1 * b^-1 * a^-1",
            "(c * b)^3",
            "(c * b^-1)^3",
            "(a * c)^3",
            "a * c * a^-1 * c * a^-1 * c * a^-1 * c^-1"
        ],
        "order1": 16,
        "order2": 18,
        "order3": 26,
        "index": 0,
        "presentation_length": 41,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [
            3
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{16,24,24}_0",
        "name_utf8": "G¹⁶'²⁴'²⁴₀",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a^-1 * b^-1 * a^-1",
            "(c * b)^3",
            "c * b * c^-1 * b * c^-1 * b^-1 * c * b^-1",
            "(a * c)^3",
            "a * c * a^-1 * c * a^-1 * c^-1 * a * c^-1"
        ],
        "order1": 16,
        "order2": 24,
        "order3": 24,
        "index": 0,
        "presentation_length": 43,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 2,
        "L2_quotients": [],
        "quotients": {
            "HS": 1,
            "{}^2A_{3}(9)": 1,
            "{}^2A_{2}(25)": 1,
            "Alt(8) or A_{2}(4)": 2,
            "J_{2}": 1,
            "C_{3}(2)": 1,
            "Alt(7)": 1,
            "B_{2}(5)": 1
        },
        "alternating_quotients": [
            3,
            4,
            7,
            8,
            15,
            18,
            19,
            20,
            22,
            23,
            24,
            25,
            27,
            28,
            30,
            31,
            32,
            33,
            34,
            35,
            36
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "²A₂(25)": 1,
            "C₃(2)": 1,
            "²A₃(9)": 1,
            "HS": 1,
            "B₂(5)": 1,
            "Alt(8) or A₂(4)": 2,
            "Alt(7)": 1,
            "J₂": 1
        },
        "quotients_plain": {
            "2A2(25)": 1,
            "HS": 1,
            "B2(5)": 1,
            "C3(2)": 1,
            "Alt(7)": 1,
            "J2": 1,
            "2A3(9)": 1,
            "Alt(8) or A2(4)": 2
        }
    },
    {
        "name": "G^{16,24,24}_1",
        "name_utf8": "G¹⁶'²⁴'²⁴₁",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a^-1 * b^-1 * a^-1",
            "(c * b)^3",
            "c * b * c^-1 * b * c^-1 * b^-1 * c * b^-1",
            "(a * c^-1)^3",
            "a * c^-1 * a^-1 * c^-1 * a^-1 * c * a * c"
        ],
        "order1": 16,
        "order2": 24,
        "order3": 24,
        "index": 1,
        "presentation_length": 43,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 2,
        "L2_quotients": [],
        "quotients": {
            "C_{3}(2)": 2
        },
        "alternating_quotients": [
            3,
            4,
            5,
            17,
            18,
            19,
            21,
            22,
            27,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "C₃(2)": 2
        },
        "quotients_plain": {
            "C3(2)": 2
        }
    },
    {
        "name": "G^{16,24,26}_0",
        "name_utf8": "G¹⁶'²⁴'²⁶₀",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a^-1 * b^-1 * a^-1",
            "(c * b)^3",
            "c * b * c^-1 * b * c^-1 * b^-1 * c * b^-1",
            "(a * c)^3",
            "a * c * a^-1 * c * a^-1 * c * a^-1 * c^-1"
        ],
        "order1": 16,
        "order2": 24,
        "order3": 26,
        "index": 0,
        "presentation_length": 43,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [
            3,
            4
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{16,24,26}_1",
        "name_utf8": "G¹⁶'²⁴'²⁶₁",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a^-1 * b^-1 * a^-1",
            "(c * b)^3",
            "c * b * c^-1 * b * c^-1 * b^-1 * c * b^-1",
            "(a * c^-1)^3",
            "a * c^-1 * a^-1 * c^-1 * a^-1 * c^-1 * a^-1 * c"
        ],
        "order1": 16,
        "order2": 24,
        "order3": 26,
        "index": 1,
        "presentation_length": 43,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 1,
        "L2_quotients": [
            "L_2(13)"
        ],
        "quotients": {},
        "alternating_quotients": [
            3
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [
            "L₂(13)"
        ],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{16,26,26}_0",
        "name_utf8": "G¹⁶'²⁶'²⁶₀",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a^-1 * b^-1 * a^-1",
            "(c * b)^3",
            "c * b * c^-1 * b * c^-1 * b * c^-1 * b^-1",
            "(a * c)^3",
            "a * c * a^-1 * c * a^-1 * c * a^-1 * c^-1"
        ],
        "order1": 16,
        "order2": 26,
        "order3": 26,
        "index": 0,
        "presentation_length": 43,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [
            3,
            26
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{16,26,26}_1",
        "name_utf8": "G¹⁶'²⁶'²⁶₁",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a^-1 * b^-1 * a^-1",
            "(c * b)^3",
            "c * b * c^-1 * b * c^-1 * b * c^-1 * b^-1",
            "(a * c^-1)^3",
            "a * c^-1 * a^-1 * c^-1 * a^-1 * c^-1 * a^-1 * c"
        ],
        "order1": 16,
        "order2": 26,
        "order3": 26,
        "index": 1,
        "presentation_length": 43,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 0,
        "L2_quotients": [
            "L_2(13)"
        ],
        "quotients": {
            "A_{2}(3)": 1
        },
        "alternating_quotients": [],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [
            "L₂(13)"
        ],
        "quotients_utf8": {
            "A₂(3)": 1
        },
        "quotients_plain": {
            "A2(3)": 1
        }
    },
    {
        "name": "G^{16,26,26}_3",
        "name_utf8": "G¹⁶'²⁶'²⁶₃",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a^-1 * b^-1 * a^-1",
            "(c * b)^3",
            "c * b * c^-1 * b * c^-1 * b * c^-1 * b^-1",
            "(c * a^-1)^3",
            "c * a^-1 * c^-1 * a^-1 * c^-1 * a^-1 * c^-1 * a"
        ],
        "order1": 16,
        "order2": 26,
        "order3": 26,
        "index": 3,
        "presentation_length": 43,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 0,
        "L2_quotients": [],
        "quotients": {
            "G_{2}(3)": 1,
            "A_{2}(3)": 2
        },
        "alternating_quotients": [
            26
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "A₂(3)": 2,
            "G₂(3)": 1
        },
        "quotients_plain": {
            "A2(3)": 2,
            "G2(3)": 1
        }
    },
    {
        "name": "G^{16,26,26}_5",
        "name_utf8": "G¹⁶'²⁶'²⁶₅",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a^-1 * b^-1 * a^-1",
            "(c * b^-1)^3",
            "c * b^-1 * c^-1 * b^-1 * c^-1 * b^-1 * c^-1 * b",
            "(a * c^-1)^3",
            "a * c^-1 * a^-1 * c^-1 * a^-1 * c^-1 * a^-1 * c"
        ],
        "order1": 16,
        "order2": 26,
        "order3": 26,
        "index": 5,
        "presentation_length": 43,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 1,
        "L2_quotients": [
            "L_2(13)"
        ],
        "quotients": {
            "A_{3}(3)": 1,
            "G_{2}(3)": 1,
            "A_{2}(3)": 1
        },
        "alternating_quotients": [
            3,
            14,
            26,
            28,
            29
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [
            "L₂(13)"
        ],
        "quotients_utf8": {
            "A₃(3)": 1,
            "A₂(3)": 1,
            "G₂(3)": 1
        },
        "quotients_plain": {
            "A2(3)": 1,
            "A3(3)": 1,
            "G2(3)": 1
        }
    },
    {
        "name": "G^{18,18,18}_0",
        "name_utf8": "G¹⁸'¹⁸'¹⁸₀",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "(b * a)^3",
            "(b * a^-1)^3",
            "(c * b)^3",
            "(c * b^-1)^3",
            "(a * c)^3",
            "(a * c^-1)^3"
        ],
        "order1": 18,
        "order2": 18,
        "order3": 18,
        "index": 0,
        "presentation_length": 45,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "c * a * b * a",
            "b * a * c * a"
        ],
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 3,
        "L2_quotients": [],
        "quotients": {
            "A_{2}(9)": 3,
            "A_{2}(3)": 2
        },
        "alternating_quotients": [
            3,
            27,
            36
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "A₂(9)": 3,
            "A₂(3)": 2
        },
        "quotients_plain": {
            "A2(9)": 3,
            "A2(3)": 2
        }
    },
    {
        "name": "G^{18,18,24}_0",
        "name_utf8": "G¹⁸'¹⁸'²⁴₀",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "(b * a)^3",
            "(b * a^-1)^3",
            "(c * b)^3",
            "(c * b^-1)^3",
            "(a * c)^3",
            "a * c * a^-1 * c * a^-1 * c^-1 * a * c^-1"
        ],
        "order1": 18,
        "order2": 18,
        "order3": 24,
        "index": 0,
        "presentation_length": 47,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "c * a * b * a",
            "b * a * c * a"
        ],
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 3,
        "L2_quotients": [],
        "quotients": {
            "Alt(10)": 1,
            "Alt(11)": 1
        },
        "alternating_quotients": [
            3,
            4,
            10,
            11,
            12,
            15,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            30,
            31,
            32,
            33,
            34,
            35,
            36
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "Alt(10)": 1,
            "Alt(11)": 1
        },
        "quotients_plain": {
            "Alt(10)": 1,
            "Alt(11)": 1
        }
    },
    {
        "name": "G^{18,18,26}_0",
        "name_utf8": "G¹⁸'¹⁸'²⁶₀",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "(b * a)^3",
            "(b * a^-1)^3",
            "(c * b)^3",
            "(c * b^-1)^3",
            "(a * c)^3",
            "a * c * a^-1 * c * a^-1 * c * a^-1 * c^-1"
        ],
        "order1": 18,
        "order2": 18,
        "order3": 26,
        "index": 0,
        "presentation_length": 47,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "c * a * b * a",
            "b * a * c * a"
        ],
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 2,
        "L2_quotients": [],
        "quotients": {
            "A_{2}(9)": 3,
            "A_{2}(3)": 2
        },
        "alternating_quotients": [
            3,
            13
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "A₂(9)": 3,
            "A₂(3)": 2
        },
        "quotients_plain": {
            "A2(9)": 3,
            "A2(3)": 2
        }
    },
    {
        "name": "G^{18,24,24}_0",
        "name_utf8": "G¹⁸'²⁴'²⁴₀",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "(b * a)^3",
            "(b * a^-1)^3",
            "(c * b)^3",
            "c * b * c^-1 * b * c^-1 * b^-1 * c * b^-1",
            "(a * c)^3",
            "a * c * a^-1 * c * a^-1 * c^-1 * a * c^-1"
        ],
        "order1": 18,
        "order2": 24,
        "order3": 24,
        "index": 0,
        "presentation_length": 49,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "a^-1 * b * c * b",
            "c * a * b^-1 * a"
        ],
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 3,
        "L2_quotients": [],
        "quotients": {
            "Alt(10)": 1,
            "{}^2A_{3}(9)": 1,
            "Alt(11)": 1
        },
        "alternating_quotients": [
            3,
            4,
            10,
            11,
            15,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            30,
            31,
            32,
            33,
            34,
            35,
            36
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "²A₃(9)": 1,
            "Alt(10)": 1,
            "Alt(11)": 1
        },
        "quotients_plain": {
            "Alt(10)": 1,
            "Alt(11)": 1,
            "2A3(9)": 1
        }
    },
    {
        "name": "G^{18,24,26}_0",
        "name_utf8": "G¹⁸'²⁴'²⁶₀",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "(b * a)^3",
            "(b * a^-1)^3",
            "(c * b)^3",
            "c * b * c^-1 * b * c^-1 * b^-1 * c * b^-1",
            "(a * c)^3",
            "a * c * a^-1 * c * a^-1 * c * a^-1 * c^-1"
        ],
        "order1": 18,
        "order2": 24,
        "order3": 26,
        "index": 0,
        "presentation_length": 49,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "a^-1 * b * c * b",
            "c * a * b^-1 * a"
        ],
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 2,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [
            3,
            27
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{18,26,26}_0",
        "name_utf8": "G¹⁸'²⁶'²⁶₀",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "(b * a)^3",
            "(b * a^-1)^3",
            "(c * b)^3",
            "c * b * c^-1 * b * c^-1 * b * c^-1 * b^-1",
            "(a * c)^3",
            "a * c * a^-1 * c * a^-1 * c * a^-1 * c^-1"
        ],
        "order1": 18,
        "order2": 26,
        "order3": 26,
        "index": 0,
        "presentation_length": 49,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "a^-1 * b * c * b",
            "c * a * b^-1 * a"
        ],
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {
            "G_{2}(3)": 2
        },
        "alternating_quotients": [
            3,
            13
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "G₂(3)": 2
        },
        "quotients_plain": {
            "G2(3)": 2
        }
    },
    {
        "name": "G^{18,26,26}_1",
        "name_utf8": "G¹⁸'²⁶'²⁶₁",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "(b * a)^3",
            "(b * a^-1)^3",
            "(c * b)^3",
            "c * b * c^-1 * b * c^-1 * b * c^-1 * b^-1",
            "(a * c^-1)^3",
            "a * c^-1 * a^-1 * c^-1 * a^-1 * c^-1 * a^-1 * c"
        ],
        "order1": 18,
        "order2": 26,
        "order3": 26,
        "index": 1,
        "presentation_length": 49,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "a^-1 * b^-1 * c^-1 * b^-1",
            "b * a * c^-1 * a"
        ],
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {
            "G_{2}(3)": 1,
            "A_{2}(3)": 2
        },
        "alternating_quotients": [
            3,
            13,
            27
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "A₂(3)": 2,
            "G₂(3)": 1
        },
        "quotients_plain": {
            "A2(3)": 2,
            "G2(3)": 1
        }
    },
    {
        "name": "G^{24,24,24}_0",
        "name_utf8": "G²⁴'²⁴'²⁴₀",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "(b * a)^3",
            "b * a * b^-1 * a * b^-1 * a^-1 * b * a^-1",
            "(c * b)^3",
            "c * b * c^-1 * b * c^-1 * b^-1 * c * b^-1",
            "(a * c)^3",
            "a * c * a^-1 * c * a^-1 * c^-1 * a * c^-1"
        ],
        "order1": 24,
        "order2": 24,
        "order3": 24,
        "index": 0,
        "presentation_length": 51,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 3,
        "L2_quotients": [],
        "quotients": {
            "A_{4}(2)": 1,
            "M_{12}": 1,
            "B_{2}(5)": 3,
            "Alt(7)": 3,
            "A_{2}(7)": 1
        },
        "alternating_quotients": [
            3,
            4,
            7,
            13,
            15,
            18,
            19,
            20,
            22,
            23,
            24,
            25,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "A₂(7)": 1,
            "M₁₂": 1,
            "B₂(5)": 3,
            "A₄(2)": 1,
            "Alt(7)": 3
        },
        "quotients_plain": {
            "M12": 1,
            "B2(5)": 3,
            "A2(7)": 1,
            "A4(2)": 1,
            "Alt(7)": 3
        }
    },
    {
        "name": "G^{24,24,24}_1",
        "name_utf8": "G²⁴'²⁴'²⁴₁",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "(b * a)^3",
            "b * a * b^-1 * a * b^-1 * a^-1 * b * a^-1",
            "(c * b)^3",
            "c * b * c^-1 * b * c^-1 * b^-1 * c * b^-1",
            "(a * c^-1)^3",
            "a * c^-1 * a^-1 * c^-1 * a^-1 * c * a * c"
        ],
        "order1": 24,
        "order2": 24,
        "order3": 24,
        "index": 1,
        "presentation_length": 51,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "a^-1 * b^-1 * c^-1 * b^-1",
            "b * a * c^-1 * a"
        ],
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 3,
        "L2_quotients": [],
        "quotients": {
            "{}^2A_{3}(9)": 3,
            "M_{22}": 1
        },
        "alternating_quotients": [
            3,
            4,
            5,
            12,
            13,
            14,
            15,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "²A₃(9)": 3,
            "M₂₂": 1
        },
        "quotients_plain": {
            "2A3(9)": 3,
            "M22": 1
        }
    },
    {
        "name": "G^{24,24,26}_0",
        "name_utf8": "G²⁴'²⁴'²⁶₀",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "(b * a)^3",
            "b * a * b^-1 * a * b^-1 * a^-1 * b * a^-1",
            "(c * b)^3",
            "c * b * c^-1 * b * c^-1 * b^-1 * c * b^-1",
            "(a * c)^3",
            "a * c * a^-1 * c * a^-1 * c * a^-1 * c^-1"
        ],
        "order1": 24,
        "order2": 24,
        "order3": 26,
        "index": 0,
        "presentation_length": 51,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 2,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [
            3,
            4
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{24,24,26}_1",
        "name_utf8": "G²⁴'²⁴'²⁶₁",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "(b * a)^3",
            "b * a * b^-1 * a * b^-1 * a^-1 * b * a^-1",
            "(c * b)^3",
            "c * b * c^-1 * b * c^-1 * b^-1 * c * b^-1",
            "(a * c^-1)^3",
            "a * c^-1 * a^-1 * c^-1 * a^-1 * c^-1 * a^-1 * c"
        ],
        "order1": 24,
        "order2": 24,
        "order3": 26,
        "index": 1,
        "presentation_length": 51,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "a^-1 * b^-1 * c^-1 * b^-1",
            "b * a * c^-1 * a"
        ],
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 2,
        "L2_quotients": [
            "L_2(13)"
        ],
        "quotients": {
            "A_{3}(3)": 1
        },
        "alternating_quotients": [
            3,
            13,
            14,
            15,
            16,
            26,
            27,
            28
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [
            "L₂(13)"
        ],
        "quotients_utf8": {
            "A₃(3)": 1
        },
        "quotients_plain": {
            "A3(3)": 1
        }
    },
    {
        "name": "G^{24,26,26}_0",
        "name_utf8": "G²⁴'²⁶'²⁶₀",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "(b * a)^3",
            "b * a * b^-1 * a * b^-1 * a^-1 * b * a^-1",
            "(c * b)^3",
            "c * b * c^-1 * b * c^-1 * b * c^-1 * b^-1",
            "(a * c)^3",
            "a * c * a^-1 * c * a^-1 * c * a^-1 * c^-1"
        ],
        "order1": 24,
        "order2": 26,
        "order3": 26,
        "index": 0,
        "presentation_length": 51,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [
            3,
            26,
            28
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{24,26,26}_1",
        "name_utf8": "G²⁴'²⁶'²⁶₁",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "(b * a)^3",
            "b * a * b^-1 * a * b^-1 * a^-1 * b * a^-1",
            "(c * b)^3",
            "c * b * c^-1 * b * c^-1 * b * c^-1 * b^-1",
            "(a * c^-1)^3",
            "a * c^-1 * a^-1 * c^-1 * a^-1 * c^-1 * a^-1 * c"
        ],
        "order1": 24,
        "order2": 26,
        "order3": 26,
        "index": 1,
        "presentation_length": 51,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "a^-1 * b^-1 * c^-1 * b^-1",
            "b * a * c^-1 * a"
        ],
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 1,
        "L2_quotients": [
            "L_2(13)"
        ],
        "quotients": {
            "A_{3}(3)": 1,
            "A_{2}(3)": 2
        },
        "alternating_quotients": [
            3,
            13,
            14,
            27
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [
            "L₂(13)"
        ],
        "quotients_utf8": {
            "A₃(3)": 1,
            "A₂(3)": 2
        },
        "quotients_plain": {
            "A2(3)": 2,
            "A3(3)": 1
        }
    },
    {
        "name": "G^{24,26,26}_3",
        "name_utf8": "G²⁴'²⁶'²⁶₃",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "(b * a)^3",
            "b * a * b^-1 * a * b^-1 * a^-1 * b * a^-1",
            "(c * b)^3",
            "c * b * c^-1 * b * c^-1 * b * c^-1 * b^-1",
            "(c * a^-1)^3",
            "c * a^-1 * c^-1 * a^-1 * c^-1 * a^-1 * c^-1 * a"
        ],
        "order1": 24,
        "order2": 26,
        "order3": 26,
        "index": 3,
        "presentation_length": 51,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "a^-1 * b^-1 * c^-1 * b^-1",
            "b * a * c^-1 * a"
        ],
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {
            "A_{2}(3)": 2
        },
        "alternating_quotients": [
            3,
            13,
            14,
            16,
            26
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "A₂(3)": 2
        },
        "quotients_plain": {
            "A2(3)": 2
        }
    },
    {
        "name": "G^{24,26,26}_5",
        "name_utf8": "G²⁴'²⁶'²⁶₅",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "(b * a)^3",
            "b * a * b^-1 * a * b^-1 * a^-1 * b * a^-1",
            "(c * b^-1)^3",
            "c * b^-1 * c^-1 * b^-1 * c^-1 * b^-1 * c^-1 * b",
            "(a * c^-1)^3",
            "a * c^-1 * a^-1 * c^-1 * a^-1 * c^-1 * a^-1 * c"
        ],
        "order1": 24,
        "order2": 26,
        "order3": 26,
        "index": 5,
        "presentation_length": 51,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 1,
        "L2_quotients": [
            "L_2(13)"
        ],
        "quotients": {
            "A_{3}(3)": 1,
            "A_{2}(3)": 2
        },
        "alternating_quotients": [
            3,
            13,
            14,
            26,
            27,
            28
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [
            "L₂(13)"
        ],
        "quotients_utf8": {
            "A₃(3)": 1,
            "A₂(3)": 2
        },
        "quotients_plain": {
            "A2(3)": 2,
            "A3(3)": 1
        }
    },
    {
        "name": "G^{26,26,26}_0",
        "name_utf8": "G²⁶'²⁶'²⁶₀",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "(b * a)^3",
            "b * a * b^-1 * a * b^-1 * a * b^-1 * a^-1",
            "(c * b)^3",
            "c * b * c^-1 * b * c^-1 * b * c^-1 * b^-1",
            "(a * c)^3",
            "a * c * a^-1 * c * a^-1 * c * a^-1 * c^-1"
        ],
        "order1": 26,
        "order2": 26,
        "order3": 26,
        "index": 0,
        "presentation_length": 51,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {
            "A_{2}(9)": 3,
            "A_{2}(3)": 1
        },
        "alternating_quotients": [
            3,
            26
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "A₂(9)": 3,
            "A₂(3)": 1
        },
        "quotients_plain": {
            "A2(9)": 3,
            "A2(3)": 1
        }
    },
    {
        "name": "G^{26,26,26}_1",
        "name_utf8": "G²⁶'²⁶'²⁶₁",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "(b * a)^3",
            "b * a * b^-1 * a * b^-1 * a * b^-1 * a^-1",
            "(c * b)^3",
            "c * b * c^-1 * b * c^-1 * b * c^-1 * b^-1",
            "(a * c^-1)^3",
            "a * c^-1 * a^-1 * c^-1 * a^-1 * c^-1 * a^-1 * c"
        ],
        "order1": 26,
        "order2": 26,
        "order3": 26,
        "index": 1,
        "presentation_length": 51,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "a^-1 * b^-1 * c^-1 * b^-1",
            "b * a * c^-1 * a"
        ],
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 0,
        "L2_quotients": [],
        "quotients": {
            "{}^2A_{2}(16)": 2,
            "A_{2}(3)": 2,
            "G_{2}(3)": 6
        },
        "alternating_quotients": [
            13,
            26
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "²A₂(16)": 2,
            "A₂(3)": 2,
            "G₂(3)": 6
        },
        "quotients_plain": {
            "2A2(16)": 2,
            "A2(3)": 2,
            "G2(3)": 6
        }
    },
    {
        "name": "G^{26,26,26}_5",
        "name_utf8": "G²⁶'²⁶'²⁶₅",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "(b * a)^3",
            "b * a * b^-1 * a * b^-1 * a * b^-1 * a^-1",
            "(c * b^-1)^3",
            "c * b^-1 * c^-1 * b^-1 * c^-1 * b^-1 * c^-1 * b",
            "(a * c^-1)^3",
            "a * c^-1 * a^-1 * c^-1 * a^-1 * c^-1 * a^-1 * c"
        ],
        "order1": 26,
        "order2": 26,
        "order3": 26,
        "index": 5,
        "presentation_length": 51,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {
            "{}^2A_{2}(16)": 1,
            "A_{2}(3)": 2
        },
        "alternating_quotients": [
            3
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "²A₂(16)": 1,
            "A₂(3)": 2
        },
        "quotients_plain": {
            "2A2(16)": 1,
            "A2(3)": 2
        }
    },
    {
        "name": "G^{26,26,26}_21",
        "name_utf8": "G²⁶'²⁶'²⁶₂1",
        "half_girth_type": [
            3,
            3,
            3
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "(b * a^-1)^3",
            "b * a^-1 * b^-1 * a^-1 * b^-1 * a^-1 * b^-1 * a",
            "(c * b^-1)^3",
            "c * b^-1 * c^-1 * b^-1 * c^-1 * b^-1 * c^-1 * b",
            "(a * c^-1)^3",
            "a * c^-1 * a^-1 * c^-1 * a^-1 * c^-1 * a^-1 * c"
        ],
        "order1": 26,
        "order2": 26,
        "order3": 26,
        "index": 21,
        "presentation_length": 51,
        "hyperbolic": false,
        "witnesses_non_hyperbolictity": [
            "b^-1 * a * c^-1 * a",
            "a^-1 * b * c^-1 * b"
        ],
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 0,
        "L2_quotients": [
            "L_2(13)"
        ],
        "quotients": {
            "{}^2F_4(2)'": 1,
            "{}^2A_{2}(16)": 3,
            "A_{2}(3)": 5,
            "G_{2}(3)": 1
        },
        "alternating_quotients": [
            13,
            30
        ],
        "maximal_degree_alternating_quotients": 36,
        "L2_quotients_utf8": [
            "L₂(13)"
        ],
        "quotients_utf8": {
            "²F₄(2)'": 1,
            "²A₂(16)": 3,
            "A₂(3)": 5,
            "G₂(3)": 1
        },
        "quotients_plain": {
            "2A2(16)": 3,
            "A2(3)": 5,
            "2F_4(2)'": 1,
            "G2(3)": 1
        }
    },
    {
        "name": "G^{14,14,40}_0",
        "name_utf8": "G¹⁴'¹⁴'⁴⁰₀",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b * c^-1 * b^-1 * c * b",
            "a * c^-1 * a * c * a * c^-1 * a * c",
            "a^-1 * c^-1 * a * c^-1 * a^-1 * c^-1 * a * c^-1"
        ],
        "order1": 14,
        "order2": 14,
        "order3": 40,
        "index": 0,
        "presentation_length": 37,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 0,
        "L2_quotients": [
            "L_2(7^2)"
        ],
        "quotients": {
            "J_{1}": 2,
            "{}^2A_{3}(9)": 1,
            "Alt(7)": 1
        },
        "alternating_quotients": [
            7
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [
            "L₂(7²)"
        ],
        "quotients_utf8": {
            "J₁": 2,
            "²A₃(9)": 1,
            "Alt(7)": 1
        },
        "quotients_plain": {
            "J1": 2,
            "Alt(7)": 1,
            "2A3(9)": 1
        }
    },
    {
        "name": "G^{14,14,40}_4",
        "name_utf8": "G¹⁴'¹⁴'⁴⁰₄",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b^-1 * c^-1 * b * c * b^-1",
            "a * c^-1 * a * c * a * c^-1 * a * c",
            "a^-1 * c^-1 * a * c^-1 * a^-1 * c^-1 * a * c^-1"
        ],
        "order1": 14,
        "order2": 14,
        "order3": 40,
        "index": 4,
        "presentation_length": 37,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 0,
        "L2_quotients": [],
        "quotients": {
            "Alt(7)": 2,
            "M_{22}": 1
        },
        "alternating_quotients": [
            7,
            28
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "M₂₂": 1,
            "Alt(7)": 2
        },
        "quotients_plain": {
            "Alt(7)": 2,
            "M22": 1
        }
    },
    {
        "name": "G^{14,14,48}_0",
        "name_utf8": "G¹⁴'¹⁴'⁴⁸₀",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b * c^-1 * b^-1 * c * b",
            "a * c * a * c * a^-1 * c^-1 * a^-1 * c^-1"
        ],
        "order1": 14,
        "order2": 14,
        "order3": 48,
        "index": 0,
        "presentation_length": 29,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 1,
        "L2_quotients": [
            "L_2(7)"
        ],
        "quotients": {
            "{}^2A_{2}(25)": 1,
            "Alt(7)": 1
        },
        "alternating_quotients": [
            3,
            7
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [
            "L₂(7)"
        ],
        "quotients_utf8": {
            "²A₂(25)": 1,
            "Alt(7)": 1
        },
        "quotients_plain": {
            "2A2(25)": 1,
            "Alt(7)": 1
        }
    },
    {
        "name": "G^{14,14,48}_1",
        "name_utf8": "G¹⁴'¹⁴'⁴⁸₁",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b * c^-1 * b^-1 * c * b",
            "a * c^-1 * a * c^-1 * a^-1 * c * a^-1 * c"
        ],
        "order1": 14,
        "order2": 14,
        "order3": 48,
        "index": 1,
        "presentation_length": 29,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 1,
        "L2_quotients": [
            "L_2(7)"
        ],
        "quotients": {
            "Alt(8) or A_{2}(4)": 1
        },
        "alternating_quotients": [
            3,
            8
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [
            "L₂(7)"
        ],
        "quotients_utf8": {
            "Alt(8) or A₂(4)": 1
        },
        "quotients_plain": {
            "Alt(8) or A2(4)": 1
        }
    },
    {
        "name": "G^{14,14,48}_4",
        "name_utf8": "G¹⁴'¹⁴'⁴⁸₄",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b^-1 * c^-1 * b * c * b^-1",
            "a * c * a * c * a^-1 * c^-1 * a^-1 * c^-1"
        ],
        "order1": 14,
        "order2": 14,
        "order3": 48,
        "index": 4,
        "presentation_length": 29,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {
            "Alt(7)": 1
        },
        "alternating_quotients": [
            3,
            7
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "Alt(7)": 1
        },
        "quotients_plain": {
            "Alt(7)": 1
        }
    },
    {
        "name": "G^{14,14,48}_5",
        "name_utf8": "G¹⁴'¹⁴'⁴⁸₅",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b^-1 * c^-1 * b * c * b^-1",
            "a * c^-1 * a * c^-1 * a^-1 * c * a^-1 * c"
        ],
        "order1": 14,
        "order2": 14,
        "order3": 48,
        "index": 5,
        "presentation_length": 29,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {
            "Alt(8) or A_{2}(4)": 1,
            "M_{22}": 1
        },
        "alternating_quotients": [
            3,
            8,
            21
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "Alt(8) or A₂(4)": 1,
            "M₂₂": 1
        },
        "quotients_plain": {
            "M22": 1,
            "Alt(8) or A2(4)": 1
        }
    },
    {
        "name": "G^{14,14,54}_0",
        "name_utf8": "G¹⁴'¹⁴'⁵⁴₀",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b * c^-1 * b^-1 * c * b",
            "a * c * a^-1 * c^-1 * a^-1 * c * a * c^-1",
            "a * c * a^-1 * c * a * c * a^-1 * c * a * c * a^-1 * c"
        ],
        "order1": 14,
        "order2": 14,
        "order3": 54,
        "index": 0,
        "presentation_length": 41,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {
            "{}^2A_{2}(9)": 1
        },
        "alternating_quotients": [
            3
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "²A₂(9)": 1
        },
        "quotients_plain": {
            "2A2(9)": 1
        }
    },
    {
        "name": "G^{14,14,54}_4",
        "name_utf8": "G¹⁴'¹⁴'⁵⁴₄",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b^-1 * c^-1 * b * c * b^-1",
            "a * c * a^-1 * c^-1 * a^-1 * c * a * c^-1",
            "a * c * a^-1 * c * a * c * a^-1 * c * a * c * a^-1 * c"
        ],
        "order1": 14,
        "order2": 14,
        "order3": 54,
        "index": 4,
        "presentation_length": 41,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [
            3
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{14,16,40}_0",
        "name_utf8": "G¹⁴'¹⁶'⁴⁰₀",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b * c * b^-1 * c^-1 * b^-1",
            "a * c^-1 * a * c * a * c^-1 * a * c",
            "a^-1 * c^-1 * a * c^-1 * a^-1 * c^-1 * a * c^-1"
        ],
        "order1": 14,
        "order2": 16,
        "order3": 40,
        "index": 0,
        "presentation_length": 37,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 0,
        "L2_quotients": [
            "L_2(7^2)"
        ],
        "quotients": {},
        "alternating_quotients": [],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [
            "L₂(7²)"
        ],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{14,16,48}_0",
        "name_utf8": "G¹⁴'¹⁶'⁴⁸₀",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b * c * b^-1 * c^-1 * b^-1",
            "a * c * a * c * a^-1 * c^-1 * a^-1 * c^-1"
        ],
        "order1": 14,
        "order2": 16,
        "order3": 48,
        "index": 0,
        "presentation_length": 29,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [
            3,
            4
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{14,16,48}_1",
        "name_utf8": "G¹⁴'¹⁶'⁴⁸₁",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b * c * b^-1 * c^-1 * b^-1",
            "a * c^-1 * a * c^-1 * a^-1 * c * a^-1 * c"
        ],
        "order1": 14,
        "order2": 16,
        "order3": 48,
        "index": 1,
        "presentation_length": 29,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 1,
        "L2_quotients": [
            "L_2(7)"
        ],
        "quotients": {},
        "alternating_quotients": [
            3
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [
            "L₂(7)"
        ],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{14,16,54}_0",
        "name_utf8": "G¹⁴'¹⁶'⁵⁴₀",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b * c * b^-1 * c^-1 * b^-1",
            "a * c * a^-1 * c^-1 * a^-1 * c * a * c^-1",
            "a * c * a^-1 * c * a * c * a^-1 * c * a * c * a^-1 * c"
        ],
        "order1": 14,
        "order2": 16,
        "order3": 54,
        "index": 0,
        "presentation_length": 41,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [
            3
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{14,16,54}_2",
        "name_utf8": "G¹⁴'¹⁶'⁵⁴₂",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b * c * b^-1 * c^-1 * b^-1",
            "c * a * c^-1 * a^-1 * c^-1 * a * c * a^-1",
            "c * a * c^-1 * a * c * a * c^-1 * a * c * a * c^-1 * a"
        ],
        "order1": 14,
        "order2": 16,
        "order3": 54,
        "index": 2,
        "presentation_length": 41,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [
            3
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{14,18,40}_0",
        "name_utf8": "G¹⁴'¹⁸'⁴⁰₀",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b * c * b * c * b",
            "c * b^-1 * c * b^-1 * c * b^-1",
            "a * c^-1 * a * c * a * c^-1 * a * c",
            "a^-1 * c^-1 * a * c^-1 * a^-1 * c^-1 * a * c^-1"
        ],
        "order1": 14,
        "order2": 18,
        "order3": 40,
        "index": 0,
        "presentation_length": 43,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 0,
        "L2_quotients": [],
        "quotients": {
            "J_{2}": 1
        },
        "alternating_quotients": [
            21,
            25
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "J₂": 1
        },
        "quotients_plain": {
            "J2": 1
        }
    },
    {
        "name": "G^{14,18,48}_0",
        "name_utf8": "G¹⁴'¹⁸'⁴⁸₀",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b * c * b * c * b",
            "c * b^-1 * c * b^-1 * c * b^-1",
            "a * c * a * c * a^-1 * c^-1 * a^-1 * c^-1"
        ],
        "order1": 14,
        "order2": 18,
        "order3": 48,
        "index": 0,
        "presentation_length": 35,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 2,
        "L2_quotients": [],
        "quotients": {
            "G_{2}(3)": 1
        },
        "alternating_quotients": [
            3
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "G₂(3)": 1
        },
        "quotients_plain": {
            "G2(3)": 1
        }
    },
    {
        "name": "G^{14,18,54}_0",
        "name_utf8": "G¹⁴'¹⁸'⁵⁴₀",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b * c * b * c * b",
            "c * b^-1 * c * b^-1 * c * b^-1",
            "a * c * a^-1 * c^-1 * a^-1 * c * a * c^-1",
            "a * c * a^-1 * c * a * c * a^-1 * c * a * c * a^-1 * c"
        ],
        "order1": 14,
        "order2": 18,
        "order3": 54,
        "index": 0,
        "presentation_length": 47,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 2,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [
            3
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{14,18,54}_2",
        "name_utf8": "G¹⁴'¹⁸'⁵⁴₂",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b * c * b * c * b",
            "c * b^-1 * c * b^-1 * c * b^-1",
            "c * a * c^-1 * a^-1 * c^-1 * a * c * a^-1",
            "c * a * c^-1 * a * c * a * c^-1 * a * c * a * c^-1 * a"
        ],
        "order1": 14,
        "order2": 18,
        "order3": 54,
        "index": 2,
        "presentation_length": 47,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 2,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [
            3,
            21,
            28,
            29
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{14,24,40}_0",
        "name_utf8": "G¹⁴'²⁴'⁴⁰₀",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b * c * b * c * b",
            "c * b * c^-1 * b * c^-1 * b^-1 * c * b^-1",
            "a * c^-1 * a * c * a * c^-1 * a * c",
            "a^-1 * c^-1 * a * c^-1 * a^-1 * c^-1 * a * c^-1"
        ],
        "order1": 14,
        "order2": 24,
        "order3": 40,
        "index": 0,
        "presentation_length": 45,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 0,
        "L2_quotients": [
            "L_2(7^2)"
        ],
        "quotients": {
            "A_{4}(2)": 1,
            "Alt(10)": 1,
            "Alt(7)": 1
        },
        "alternating_quotients": [
            7,
            10
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [
            "L₂(7²)"
        ],
        "quotients_utf8": {
            "Alt(10)": 1,
            "A₄(2)": 1,
            "Alt(7)": 1
        },
        "quotients_plain": {
            "Alt(10)": 1,
            "A4(2)": 1,
            "Alt(7)": 1
        }
    },
    {
        "name": "G^{14,24,48}_0",
        "name_utf8": "G¹⁴'²⁴'⁴⁸₀",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b * c * b * c * b",
            "c * b * c^-1 * b * c^-1 * b^-1 * c * b^-1",
            "a * c * a * c * a^-1 * c^-1 * a^-1 * c^-1"
        ],
        "order1": 14,
        "order2": 24,
        "order3": 48,
        "index": 0,
        "presentation_length": 37,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 2,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [
            3,
            4
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{14,24,48}_1",
        "name_utf8": "G¹⁴'²⁴'⁴⁸₁",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b * c * b * c * b",
            "c * b * c^-1 * b * c^-1 * b^-1 * c * b^-1",
            "a * c^-1 * a * c^-1 * a^-1 * c * a^-1 * c"
        ],
        "order1": 14,
        "order2": 24,
        "order3": 48,
        "index": 1,
        "presentation_length": 37,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 2,
        "L2_quotients": [
            "L_2(7)"
        ],
        "quotients": {
            "{}^2A_{3}(9)": 1,
            "Alt(8) or A_{2}(4)": 1,
            "J_{2}": 1,
            "C_{3}(2)": 1,
            "Alt(7)": 1
        },
        "alternating_quotients": [
            3,
            7,
            8,
            15,
            22,
            28,
            29
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [
            "L₂(7)"
        ],
        "quotients_utf8": {
            "C₃(2)": 1,
            "²A₃(9)": 1,
            "Alt(8) or A₂(4)": 1,
            "Alt(7)": 1,
            "J₂": 1
        },
        "quotients_plain": {
            "C3(2)": 1,
            "Alt(7)": 1,
            "J2": 1,
            "2A3(9)": 1,
            "Alt(8) or A2(4)": 1
        }
    },
    {
        "name": "G^{14,24,54}_0",
        "name_utf8": "G¹⁴'²⁴'⁵⁴₀",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b * c * b * c * b",
            "c * b * c^-1 * b * c^-1 * b^-1 * c * b^-1",
            "a * c * a^-1 * c^-1 * a^-1 * c * a * c^-1",
            "a * c * a^-1 * c * a * c * a^-1 * c * a * c * a^-1 * c"
        ],
        "order1": 14,
        "order2": 24,
        "order3": 54,
        "index": 0,
        "presentation_length": 49,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 2,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [
            3,
            18
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{14,24,54}_2",
        "name_utf8": "G¹⁴'²⁴'⁵⁴₂",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b * c * b * c * b",
            "c * b * c^-1 * b * c^-1 * b^-1 * c * b^-1",
            "c * a * c^-1 * a^-1 * c^-1 * a * c * a^-1",
            "c * a * c^-1 * a * c * a * c^-1 * a * c * a * c^-1 * a"
        ],
        "order1": 14,
        "order2": 24,
        "order3": 54,
        "index": 2,
        "presentation_length": 49,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 2,
        "L2_quotients": [],
        "quotients": {
            "{}^2A_{3}(9)": 1,
            "C_{3}(2)": 1
        },
        "alternating_quotients": [
            3,
            14,
            21,
            28
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "C₃(2)": 1,
            "²A₃(9)": 1
        },
        "quotients_plain": {
            "C3(2)": 1,
            "2A3(9)": 1
        }
    },
    {
        "name": "G^{14,26,40}_0",
        "name_utf8": "G¹⁴'²⁶'⁴⁰₀",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b * c * b * c * b",
            "c * b * c^-1 * b * c^-1 * b * c^-1 * b^-1",
            "a * c^-1 * a * c * a * c^-1 * a * c",
            "a^-1 * c^-1 * a * c^-1 * a^-1 * c^-1 * a * c^-1"
        ],
        "order1": 14,
        "order2": 26,
        "order3": 40,
        "index": 0,
        "presentation_length": 45,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 0,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{14,26,40}_4",
        "name_utf8": "G¹⁴'²⁶'⁴⁰₄",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b^-1 * c * b^-1 * c * b^-1",
            "c * b^-1 * c^-1 * b^-1 * c^-1 * b^-1 * c^-1 * b",
            "a * c^-1 * a * c * a * c^-1 * a * c",
            "a^-1 * c^-1 * a * c^-1 * a^-1 * c^-1 * a * c^-1"
        ],
        "order1": 14,
        "order2": 26,
        "order3": 40,
        "index": 4,
        "presentation_length": 45,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 0,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{14,26,48}_0",
        "name_utf8": "G¹⁴'²⁶'⁴⁸₀",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b * c * b * c * b",
            "c * b * c^-1 * b * c^-1 * b * c^-1 * b^-1",
            "a * c * a * c * a^-1 * c^-1 * a^-1 * c^-1"
        ],
        "order1": 14,
        "order2": 26,
        "order3": 48,
        "index": 0,
        "presentation_length": 37,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [
            3
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{14,26,48}_1",
        "name_utf8": "G¹⁴'²⁶'⁴⁸₁",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b * c * b * c * b",
            "c * b * c^-1 * b * c^-1 * b * c^-1 * b^-1",
            "a * c^-1 * a * c^-1 * a^-1 * c * a^-1 * c"
        ],
        "order1": 14,
        "order2": 26,
        "order3": 48,
        "index": 1,
        "presentation_length": 37,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [
            3
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{14,26,48}_4",
        "name_utf8": "G¹⁴'²⁶'⁴⁸₄",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b^-1 * c * b^-1 * c * b^-1",
            "c * b^-1 * c^-1 * b^-1 * c^-1 * b^-1 * c^-1 * b",
            "a * c * a * c * a^-1 * c^-1 * a^-1 * c^-1"
        ],
        "order1": 14,
        "order2": 26,
        "order3": 48,
        "index": 4,
        "presentation_length": 37,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [
            3
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{14,26,48}_5",
        "name_utf8": "G¹⁴'²⁶'⁴⁸₅",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b^-1 * c * b^-1 * c * b^-1",
            "c * b^-1 * c^-1 * b^-1 * c^-1 * b^-1 * c^-1 * b",
            "a * c^-1 * a * c^-1 * a^-1 * c * a^-1 * c"
        ],
        "order1": 14,
        "order2": 26,
        "order3": 48,
        "index": 5,
        "presentation_length": 37,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [
            3
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{14,26,54}_0",
        "name_utf8": "G¹⁴'²⁶'⁵⁴₀",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b * c * b * c * b",
            "c * b * c^-1 * b * c^-1 * b * c^-1 * b^-1",
            "a * c * a^-1 * c^-1 * a^-1 * c * a * c^-1",
            "a * c * a^-1 * c * a * c * a^-1 * c * a * c * a^-1 * c"
        ],
        "order1": 14,
        "order2": 26,
        "order3": 54,
        "index": 0,
        "presentation_length": 49,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [
            3
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{14,26,54}_2",
        "name_utf8": "G¹⁴'²⁶'⁵⁴₂",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b * c * b * c * b",
            "c * b * c^-1 * b * c^-1 * b * c^-1 * b^-1",
            "c * a * c^-1 * a^-1 * c^-1 * a * c * a^-1",
            "c * a * c^-1 * a * c * a * c^-1 * a * c * a * c^-1 * a"
        ],
        "order1": 14,
        "order2": 26,
        "order3": 54,
        "index": 2,
        "presentation_length": 49,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [
            3
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{14,26,54}_4",
        "name_utf8": "G¹⁴'²⁶'⁵⁴₄",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b^-1 * c * b^-1 * c * b^-1",
            "c * b^-1 * c^-1 * b^-1 * c^-1 * b^-1 * c^-1 * b",
            "a * c * a^-1 * c^-1 * a^-1 * c * a * c^-1",
            "a * c * a^-1 * c * a * c * a^-1 * c * a * c * a^-1 * c"
        ],
        "order1": 14,
        "order2": 26,
        "order3": 54,
        "index": 4,
        "presentation_length": 49,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [
            3
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{14,26,54}_6",
        "name_utf8": "G¹⁴'²⁶'⁵⁴₆",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b^-1 * c * b^-1 * c * b^-1",
            "c * b^-1 * c^-1 * b^-1 * c^-1 * b^-1 * c^-1 * b",
            "c * a * c^-1 * a^-1 * c^-1 * a * c * a^-1",
            "c * a * c^-1 * a * c * a * c^-1 * a * c * a * c^-1 * a"
        ],
        "order1": 14,
        "order2": 26,
        "order3": 54,
        "index": 6,
        "presentation_length": 49,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [
            3
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{16,16,40}_0",
        "name_utf8": "G¹⁶'¹⁶'⁴⁰₀",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a^-1 * b^-1 * a^-1",
            "c * b * c * b^-1 * c^-1 * b^-1",
            "a * c^-1 * a * c * a * c^-1 * a * c",
            "a^-1 * c^-1 * a * c^-1 * a^-1 * c^-1 * a * c^-1"
        ],
        "order1": 16,
        "order2": 16,
        "order3": 40,
        "index": 0,
        "presentation_length": 37,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 0,
        "L2_quotients": [],
        "quotients": {
            "M_{11}": 1,
            "A_{3}(3)": 2,
            "B_{2}(3)": 1,
            "{}^2A_{3}(9)": 1,
            "J_{2}": 2,
            "B_{2}(5)": 1
        },
        "alternating_quotients": [
            5,
            21,
            26,
            28
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "²A₃(9)": 1,
            "B₂(5)": 1,
            "A₃(3)": 2,
            "J₂": 2,
            "B₂(3)": 1,
            "M₁₁": 1
        },
        "quotients_plain": {
            "B2(3)": 1,
            "A3(3)": 2,
            "B2(5)": 1,
            "M11": 1,
            "J2": 2,
            "2A3(9)": 1
        }
    },
    {
        "name": "G^{16,16,48}_0",
        "name_utf8": "G¹⁶'¹⁶'⁴⁸₀",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a^-1 * b^-1 * a^-1",
            "c * b * c * b^-1 * c^-1 * b^-1",
            "a * c * a * c * a^-1 * c^-1 * a^-1 * c^-1"
        ],
        "order1": 16,
        "order2": 16,
        "order3": 48,
        "index": 0,
        "presentation_length": 29,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {
            "Alt(9)": 1,
            "HS": 1,
            "{}^2A_{2}(9)": 2,
            "{}^2A_{2}(81)": 2,
            "A_{2}(3)": 1
        },
        "alternating_quotients": [
            3,
            4,
            5,
            9,
            21,
            26,
            29,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "Alt(9)": 1,
            "²A₂(9)": 2,
            "²A₂(81)": 2,
            "HS": 1,
            "A₂(3)": 1
        },
        "quotients_plain": {
            "Alt(9)": 1,
            "HS": 1,
            "A2(3)": 1,
            "2A2(81)": 2,
            "2A2(9)": 2
        }
    },
    {
        "name": "G^{16,16,48}_1",
        "name_utf8": "G¹⁶'¹⁶'⁴⁸₁",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a^-1 * b^-1 * a^-1",
            "c * b * c * b^-1 * c^-1 * b^-1",
            "a * c^-1 * a * c^-1 * a^-1 * c * a^-1 * c"
        ],
        "order1": 16,
        "order2": 16,
        "order3": 48,
        "index": 1,
        "presentation_length": 29,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {
            "{}^2A_{2}(9)": 1,
            "{}^2A_{2}(64)": 2,
            "A_{4}(2)": 1,
            "Alt(10)": 1,
            "A_{2}(9)": 1,
            "{}^2A_{2}(81)": 2,
            "J_{2}": 1,
            "B_{2}(5)": 1
        },
        "alternating_quotients": [
            3,
            4,
            10
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "²A₂(9)": 1,
            "²A₂(81)": 2,
            "Alt(10)": 1,
            "B₂(5)": 1,
            "²A₂(64)": 2,
            "A₄(2)": 1,
            "A₂(9)": 1,
            "J₂": 1
        },
        "quotients_plain": {
            "A2(9)": 1,
            "2A2(64)": 2,
            "B2(5)": 1,
            "Alt(10)": 1,
            "A4(2)": 1,
            "J2": 1,
            "2A2(9)": 1,
            "2A2(81)": 2
        }
    },
    {
        "name": "G^{16,16,54}_0",
        "name_utf8": "G¹⁶'¹⁶'⁵⁴₀",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a^-1 * b^-1 * a^-1",
            "c * b * c * b^-1 * c^-1 * b^-1",
            "a * c * a^-1 * c^-1 * a^-1 * c * a * c^-1",
            "a * c * a^-1 * c * a * c * a^-1 * c * a * c * a^-1 * c"
        ],
        "order1": 16,
        "order2": 16,
        "order3": 54,
        "index": 0,
        "presentation_length": 41,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {
            "B_{2}(3)": 1,
            "A_{2}(9)": 3,
            "A_{2}(3)": 2
        },
        "alternating_quotients": [
            3,
            4,
            18,
            22,
            25,
            26,
            27
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "A₂(9)": 3,
            "A₂(3)": 2,
            "B₂(3)": 1
        },
        "quotients_plain": {
            "B2(3)": 1,
            "A2(3)": 2,
            "A2(9)": 3
        }
    },
    {
        "name": "G^{16,18,40}_0",
        "name_utf8": "G¹⁶'¹⁸'⁴⁰₀",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a^-1 * b^-1 * a^-1",
            "c * b * c * b * c * b",
            "c * b^-1 * c * b^-1 * c * b^-1",
            "a * c^-1 * a * c * a * c^-1 * a * c",
            "a^-1 * c^-1 * a * c^-1 * a^-1 * c^-1 * a * c^-1"
        ],
        "order1": 16,
        "order2": 18,
        "order3": 40,
        "index": 0,
        "presentation_length": 43,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 0,
        "L2_quotients": [
            "L_2(3^2)"
        ],
        "quotients": {
            "B_{2}(3)": 2,
            "M_{12}": 5
        },
        "alternating_quotients": [
            6,
            18,
            24,
            27,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [
            "L₂(3²)"
        ],
        "quotients_utf8": {
            "M₁₂": 5,
            "B₂(3)": 2
        },
        "quotients_plain": {
            "M12": 5,
            "B2(3)": 2
        }
    },
    {
        "name": "G^{16,18,48}_0",
        "name_utf8": "G¹⁶'¹⁸'⁴⁸₀",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a^-1 * b^-1 * a^-1",
            "c * b * c * b * c * b",
            "c * b^-1 * c * b^-1 * c * b^-1",
            "a * c * a * c * a^-1 * c^-1 * a^-1 * c^-1"
        ],
        "order1": 16,
        "order2": 18,
        "order3": 48,
        "index": 0,
        "presentation_length": 35,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 2,
        "L2_quotients": [],
        "quotients": {
            "Alt(10)": 1,
            "A_{2}(9)": 3,
            "A_{2}(3)": 2
        },
        "alternating_quotients": [
            3,
            4,
            10,
            17,
            19,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "Alt(10)": 1,
            "A₂(9)": 3,
            "A₂(3)": 2
        },
        "quotients_plain": {
            "A2(9)": 3,
            "A2(3)": 2,
            "Alt(10)": 1
        }
    },
    {
        "name": "G^{16,18,54}_0",
        "name_utf8": "G¹⁶'¹⁸'⁵⁴₀",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a^-1 * b^-1 * a^-1",
            "c * b * c * b * c * b",
            "c * b^-1 * c * b^-1 * c * b^-1",
            "a * c * a^-1 * c^-1 * a^-1 * c * a * c^-1",
            "a * c * a^-1 * c * a * c * a^-1 * c * a * c * a^-1 * c"
        ],
        "order1": 16,
        "order2": 18,
        "order3": 54,
        "index": 0,
        "presentation_length": 47,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 2,
        "L2_quotients": [],
        "quotients": {
            "{}^2A_{2}(64)": 2,
            "A_{2}(9)": 3,
            "A_{2}(3)": 2
        },
        "alternating_quotients": [
            3,
            4,
            25,
            26,
            27
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "²A₂(64)": 2,
            "A₂(9)": 3,
            "A₂(3)": 2
        },
        "quotients_plain": {
            "A2(9)": 3,
            "A2(3)": 2,
            "2A2(64)": 2
        }
    },
    {
        "name": "G^{16,18,54}_2",
        "name_utf8": "G¹⁶'¹⁸'⁵⁴₂",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a^-1 * b^-1 * a^-1",
            "c * b * c * b * c * b",
            "c * b^-1 * c * b^-1 * c * b^-1",
            "c * a * c^-1 * a^-1 * c^-1 * a * c * a^-1",
            "c * a * c^-1 * a * c * a * c^-1 * a * c * a * c^-1 * a"
        ],
        "order1": 16,
        "order2": 18,
        "order3": 54,
        "index": 2,
        "presentation_length": 47,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 2,
        "L2_quotients": [],
        "quotients": {
            "{}^2A_{2}(64)": 2,
            "A_{2}(9)": 3,
            "A_{2}(3)": 2
        },
        "alternating_quotients": [
            3,
            4,
            20,
            21,
            22,
            24,
            25,
            26,
            27,
            29,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "²A₂(64)": 2,
            "A₂(9)": 3,
            "A₂(3)": 2
        },
        "quotients_plain": {
            "A2(9)": 3,
            "A2(3)": 2,
            "2A2(64)": 2
        }
    },
    {
        "name": "G^{16,24,40}_0",
        "name_utf8": "G¹⁶'²⁴'⁴⁰₀",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a^-1 * b^-1 * a^-1",
            "c * b * c * b * c * b",
            "c * b * c^-1 * b * c^-1 * b^-1 * c * b^-1",
            "a * c^-1 * a * c * a * c^-1 * a * c",
            "a^-1 * c^-1 * a * c^-1 * a^-1 * c^-1 * a * c^-1"
        ],
        "order1": 16,
        "order2": 24,
        "order3": 40,
        "index": 0,
        "presentation_length": 45,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 0,
        "L2_quotients": [
            "L_2(3^2)"
        ],
        "quotients": {
            "A_{4}(2)": 3,
            "B_{2}(5)": 2,
            "Alt(11)": 2
        },
        "alternating_quotients": [
            5,
            6,
            11,
            21,
            22
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [
            "L₂(3²)"
        ],
        "quotients_utf8": {
            "B₂(5)": 2,
            "A₄(2)": 3,
            "Alt(11)": 2
        },
        "quotients_plain": {
            "B2(5)": 2,
            "A4(2)": 3,
            "Alt(11)": 2
        }
    },
    {
        "name": "G^{16,24,48}_0",
        "name_utf8": "G¹⁶'²⁴'⁴⁸₀",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a^-1 * b^-1 * a^-1",
            "c * b * c * b * c * b",
            "c * b * c^-1 * b * c^-1 * b^-1 * c * b^-1",
            "a * c * a * c * a^-1 * c^-1 * a^-1 * c^-1"
        ],
        "order1": 16,
        "order2": 24,
        "order3": 48,
        "index": 0,
        "presentation_length": 37,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 2,
        "L2_quotients": [],
        "quotients": {
            "Alt(9)": 1,
            "HS": 1,
            "C_{3}(2)": 5
        },
        "alternating_quotients": [
            3,
            4,
            5,
            9,
            14,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "C₃(2)": 5,
            "Alt(9)": 1,
            "HS": 1
        },
        "quotients_plain": {
            "Alt(9)": 1,
            "HS": 1,
            "C3(2)": 5
        }
    },
    {
        "name": "G^{16,24,48}_1",
        "name_utf8": "G¹⁶'²⁴'⁴⁸₁",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a^-1 * b^-1 * a^-1",
            "c * b * c * b * c * b",
            "c * b * c^-1 * b * c^-1 * b^-1 * c * b^-1",
            "a * c^-1 * a * c^-1 * a^-1 * c * a^-1 * c"
        ],
        "order1": 16,
        "order2": 24,
        "order3": 48,
        "index": 1,
        "presentation_length": 37,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 2,
        "L2_quotients": [],
        "quotients": {
            "HS": 1,
            "A_{4}(2)": 1,
            "Alt(10)": 1,
            "{}^2A_{2}(25)": 1,
            "Alt(8) or A_{2}(4)": 2,
            "J_{2}": 1,
            "C_{3}(2)": 2,
            "Alt(7)": 1,
            "{}^2A_{3}(9)": 1,
            "B_{2}(5)": 1
        },
        "alternating_quotients": [
            3,
            4,
            7,
            8,
            10,
            12,
            15,
            16,
            18,
            19,
            20,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "²A₂(25)": 1,
            "C₃(2)": 2,
            "²A₃(9)": 1,
            "HS": 1,
            "Alt(10)": 1,
            "Alt(8) or A₂(4)": 2,
            "B₂(5)": 1,
            "A₄(2)": 1,
            "Alt(7)": 1,
            "J₂": 1
        },
        "quotients_plain": {
            "2A2(25)": 1,
            "HS": 1,
            "B2(5)": 1,
            "Alt(10)": 1,
            "A4(2)": 1,
            "C3(2)": 2,
            "Alt(7)": 1,
            "J2": 1,
            "2A3(9)": 1,
            "Alt(8) or A2(4)": 2
        }
    },
    {
        "name": "G^{16,24,54}_0",
        "name_utf8": "G¹⁶'²⁴'⁵⁴₀",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a^-1 * b^-1 * a^-1",
            "c * b * c * b * c * b",
            "c * b * c^-1 * b * c^-1 * b^-1 * c * b^-1",
            "a * c * a^-1 * c^-1 * a^-1 * c * a * c^-1",
            "a * c * a^-1 * c * a * c * a^-1 * c * a * c * a^-1 * c"
        ],
        "order1": 16,
        "order2": 24,
        "order3": 54,
        "index": 0,
        "presentation_length": 49,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 2,
        "L2_quotients": [],
        "quotients": {
            "Alt(9)": 1,
            "Alt(10)": 1,
            "C_{3}(2)": 1
        },
        "alternating_quotients": [
            3,
            4,
            9,
            10,
            12,
            18,
            19,
            21,
            25,
            27,
            28,
            29,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "C₃(2)": 1,
            "Alt(9)": 1,
            "Alt(10)": 1
        },
        "quotients_plain": {
            "Alt(9)": 1,
            "Alt(10)": 1,
            "C3(2)": 1
        }
    },
    {
        "name": "G^{16,24,54}_2",
        "name_utf8": "G¹⁶'²⁴'⁵⁴₂",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a^-1 * b^-1 * a^-1",
            "c * b * c * b * c * b",
            "c * b * c^-1 * b * c^-1 * b^-1 * c * b^-1",
            "c * a * c^-1 * a^-1 * c^-1 * a * c * a^-1",
            "c * a * c^-1 * a * c * a * c^-1 * a * c * a * c^-1 * a"
        ],
        "order1": 16,
        "order2": 24,
        "order3": 54,
        "index": 2,
        "presentation_length": 49,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 2,
        "L2_quotients": [],
        "quotients": {
            "B_{2}(3)": 1,
            "Alt(10)": 3
        },
        "alternating_quotients": [
            3,
            4,
            10,
            12,
            14,
            16,
            19,
            20,
            22,
            23,
            24,
            26,
            27,
            28,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "Alt(10)": 3,
            "B₂(3)": 1
        },
        "quotients_plain": {
            "B2(3)": 1,
            "Alt(10)": 3
        }
    },
    {
        "name": "G^{16,26,40}_0",
        "name_utf8": "G¹⁶'²⁶'⁴⁰₀",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a^-1 * b^-1 * a^-1",
            "c * b * c * b * c * b",
            "c * b * c^-1 * b * c^-1 * b * c^-1 * b^-1",
            "a * c^-1 * a * c * a * c^-1 * a * c",
            "a^-1 * c^-1 * a * c^-1 * a^-1 * c^-1 * a * c^-1"
        ],
        "order1": 16,
        "order2": 26,
        "order3": 40,
        "index": 0,
        "presentation_length": 45,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 0,
        "L2_quotients": [
            "L_2(13^2)"
        ],
        "quotients": {
            "{}^2F_4(2)'": 1
        },
        "alternating_quotients": [],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [
            "L₂(13²)"
        ],
        "quotients_utf8": {
            "²F₄(2)'": 1
        },
        "quotients_plain": {
            "2F_4(2)'": 1
        }
    },
    {
        "name": "G^{16,26,48}_0",
        "name_utf8": "G¹⁶'²⁶'⁴⁸₀",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a^-1 * b^-1 * a^-1",
            "c * b * c * b * c * b",
            "c * b * c^-1 * b * c^-1 * b * c^-1 * b^-1",
            "a * c * a * c * a^-1 * c^-1 * a^-1 * c^-1"
        ],
        "order1": 16,
        "order2": 26,
        "order3": 48,
        "index": 0,
        "presentation_length": 37,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 1,
        "L2_quotients": [
            "L_2(13)"
        ],
        "quotients": {},
        "alternating_quotients": [
            3,
            16,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [
            "L₂(13)"
        ],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{16,26,48}_1",
        "name_utf8": "G¹⁶'²⁶'⁴⁸₁",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a^-1 * b^-1 * a^-1",
            "c * b * c * b * c * b",
            "c * b * c^-1 * b * c^-1 * b * c^-1 * b^-1",
            "a * c^-1 * a * c^-1 * a^-1 * c * a^-1 * c"
        ],
        "order1": 16,
        "order2": 26,
        "order3": 48,
        "index": 1,
        "presentation_length": 37,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [
            3,
            4
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{16,26,54}_0",
        "name_utf8": "G¹⁶'²⁶'⁵⁴₀",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a^-1 * b^-1 * a^-1",
            "c * b * c * b * c * b",
            "c * b * c^-1 * b * c^-1 * b * c^-1 * b^-1",
            "a * c * a^-1 * c^-1 * a^-1 * c * a * c^-1",
            "a * c * a^-1 * c * a * c * a^-1 * c * a * c * a^-1 * c"
        ],
        "order1": 16,
        "order2": 26,
        "order3": 54,
        "index": 0,
        "presentation_length": 49,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [
            3
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{16,26,54}_2",
        "name_utf8": "G¹⁶'²⁶'⁵⁴₂",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a^-1 * b^-1 * a^-1",
            "c * b * c * b * c * b",
            "c * b * c^-1 * b * c^-1 * b * c^-1 * b^-1",
            "c * a * c^-1 * a^-1 * c^-1 * a * c * a^-1",
            "c * a * c^-1 * a * c * a * c^-1 * a * c * a * c^-1 * a"
        ],
        "order1": 16,
        "order2": 26,
        "order3": 54,
        "index": 2,
        "presentation_length": 49,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [
            3,
            28
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{18,18,40}_0",
        "name_utf8": "G¹⁸'¹⁸'⁴⁰₀",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b * a",
            "b * a^-1 * b * a^-1 * b * a^-1",
            "c * b * c * b * c * b",
            "c * b^-1 * c * b^-1 * c * b^-1",
            "a * c^-1 * a * c * a * c^-1 * a * c",
            "a^-1 * c^-1 * a * c^-1 * a^-1 * c^-1 * a * c^-1"
        ],
        "order1": 18,
        "order2": 18,
        "order3": 40,
        "index": 0,
        "presentation_length": 49,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {
            "A_{3}(3)": 4,
            "M_{12}": 2
        },
        "alternating_quotients": [
            3,
            5,
            12,
            17,
            18,
            19,
            20,
            21,
            22,
            24,
            26,
            27,
            29,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "M₁₂": 2,
            "A₃(3)": 4
        },
        "quotients_plain": {
            "M12": 2,
            "A3(3)": 4
        }
    },
    {
        "name": "G^{18,18,48}_0",
        "name_utf8": "G¹⁸'¹⁸'⁴⁸₀",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b * a",
            "b * a^-1 * b * a^-1 * b * a^-1",
            "c * b * c * b * c * b",
            "c * b^-1 * c * b^-1 * c * b^-1",
            "a * c * a * c * a^-1 * c^-1 * a^-1 * c^-1"
        ],
        "order1": 18,
        "order2": 18,
        "order3": 48,
        "index": 0,
        "presentation_length": 41,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 3,
        "L2_quotients": [],
        "quotients": {
            "{}^2A_{2}(64)": 2,
            "Alt(10)": 1,
            "A_{2}(9)": 3,
            "Alt(11)": 1,
            "A_{2}(3)": 2
        },
        "alternating_quotients": [
            3,
            4,
            10,
            11,
            12,
            15,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "Alt(10)": 1,
            "²A₂(64)": 2,
            "Alt(11)": 1,
            "A₂(9)": 3,
            "A₂(3)": 2
        },
        "quotients_plain": {
            "A2(9)": 3,
            "A2(3)": 2,
            "2A2(64)": 2,
            "Alt(10)": 1,
            "Alt(11)": 1
        }
    },
    {
        "name": "G^{18,18,54}_0",
        "name_utf8": "G¹⁸'¹⁸'⁵⁴₀",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b * a",
            "b * a^-1 * b * a^-1 * b * a^-1",
            "c * b * c * b * c * b",
            "c * b^-1 * c * b^-1 * c * b^-1",
            "a * c * a^-1 * c^-1 * a^-1 * c * a * c^-1",
            "a * c * a^-1 * c * a * c * a^-1 * c * a * c * a^-1 * c"
        ],
        "order1": 18,
        "order2": 18,
        "order3": 54,
        "index": 0,
        "presentation_length": 53,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 3,
        "L2_quotients": [],
        "quotients": {
            "A_{2}(9)": 3,
            "A_{2}(3)": 2
        },
        "alternating_quotients": [
            3,
            19,
            22,
            24,
            25,
            26,
            27,
            28,
            29,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "A₂(9)": 3,
            "A₂(3)": 2
        },
        "quotients_plain": {
            "A2(9)": 3,
            "A2(3)": 2
        }
    },
    {
        "name": "G^{18,24,40}_0",
        "name_utf8": "G¹⁸'²⁴'⁴⁰₀",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b * a",
            "b * a^-1 * b * a^-1 * b * a^-1",
            "c * b * c * b * c * b",
            "c * b * c^-1 * b * c^-1 * b^-1 * c * b^-1",
            "a * c^-1 * a * c * a * c^-1 * a * c",
            "a^-1 * c^-1 * a * c^-1 * a^-1 * c^-1 * a * c^-1"
        ],
        "order1": 18,
        "order2": 24,
        "order3": 40,
        "index": 0,
        "presentation_length": 51,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 1,
        "L2_quotients": [
            "L_2(3^2)"
        ],
        "quotients": {
            "A_{3}(3)": 3,
            "Alt(10)": 2,
            "M_{12}": 6,
            "{}^2A_{3}(9)": 2,
            "Alt(11)": 4
        },
        "alternating_quotients": [
            3,
            5,
            6,
            10,
            11,
            12,
            15,
            16,
            17,
            18,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [
            "L₂(3²)"
        ],
        "quotients_utf8": {
            "²A₃(9)": 2,
            "M₁₂": 6,
            "Alt(10)": 2,
            "A₃(3)": 3,
            "Alt(11)": 4
        },
        "quotients_plain": {
            "M12": 6,
            "A3(3)": 3,
            "Alt(10)": 2,
            "Alt(11)": 4,
            "2A3(9)": 2
        }
    },
    {
        "name": "G^{18,24,48}_0",
        "name_utf8": "G¹⁸'²⁴'⁴⁸₀",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b * a",
            "b * a^-1 * b * a^-1 * b * a^-1",
            "c * b * c * b * c * b",
            "c * b * c^-1 * b * c^-1 * b^-1 * c * b^-1",
            "a * c * a * c * a^-1 * c^-1 * a^-1 * c^-1"
        ],
        "order1": 18,
        "order2": 24,
        "order3": 48,
        "index": 0,
        "presentation_length": 43,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 3,
        "L2_quotients": [],
        "quotients": {
            "A_{3}(3)": 2,
            "Alt(10)": 2,
            "{}^2A_{3}(9)": 1,
            "Alt(11)": 1
        },
        "alternating_quotients": [
            3,
            4,
            10,
            11,
            12,
            13,
            15,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "²A₃(9)": 1,
            "Alt(10)": 2,
            "A₃(3)": 2,
            "Alt(11)": 1
        },
        "quotients_plain": {
            "A3(3)": 2,
            "Alt(10)": 2,
            "Alt(11)": 1,
            "2A3(9)": 1
        }
    },
    {
        "name": "G^{18,24,54}_0",
        "name_utf8": "G¹⁸'²⁴'⁵⁴₀",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b * a",
            "b * a^-1 * b * a^-1 * b * a^-1",
            "c * b * c * b * c * b",
            "c * b * c^-1 * b * c^-1 * b^-1 * c * b^-1",
            "a * c * a^-1 * c^-1 * a^-1 * c * a * c^-1",
            "a * c * a^-1 * c * a * c * a^-1 * c * a * c * a^-1 * c"
        ],
        "order1": 18,
        "order2": 24,
        "order3": 54,
        "index": 0,
        "presentation_length": 55,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 3,
        "L2_quotients": [],
        "quotients": {
            "A_{3}(3)": 4,
            "Alt(10)": 2,
            "Alt(11)": 2
        },
        "alternating_quotients": [
            3,
            4,
            10,
            11,
            12,
            15,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "Alt(10)": 2,
            "A₃(3)": 4,
            "Alt(11)": 2
        },
        "quotients_plain": {
            "A3(3)": 4,
            "Alt(10)": 2,
            "Alt(11)": 2
        }
    },
    {
        "name": "G^{18,24,54}_2",
        "name_utf8": "G¹⁸'²⁴'⁵⁴₂",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b * a",
            "b * a^-1 * b * a^-1 * b * a^-1",
            "c * b * c * b * c * b",
            "c * b * c^-1 * b * c^-1 * b^-1 * c * b^-1",
            "c * a * c^-1 * a^-1 * c^-1 * a * c * a^-1",
            "c * a * c^-1 * a * c * a * c^-1 * a * c * a * c^-1 * a"
        ],
        "order1": 18,
        "order2": 24,
        "order3": 54,
        "index": 2,
        "presentation_length": 55,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 3,
        "L2_quotients": [],
        "quotients": {
            "Alt(9)": 2,
            "Alt(10)": 1,
            "Alt(11)": 1
        },
        "alternating_quotients": [
            3,
            4,
            9,
            10,
            11,
            12,
            15,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "Alt(9)": 2,
            "Alt(10)": 1,
            "Alt(11)": 1
        },
        "quotients_plain": {
            "Alt(9)": 2,
            "Alt(10)": 1,
            "Alt(11)": 1
        }
    },
    {
        "name": "G^{18,26,40}_0",
        "name_utf8": "G¹⁸'²⁶'⁴⁰₀",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b * a",
            "b * a^-1 * b * a^-1 * b * a^-1",
            "c * b * c * b * c * b",
            "c * b * c^-1 * b * c^-1 * b * c^-1 * b^-1",
            "a * c^-1 * a * c * a * c^-1 * a * c",
            "a^-1 * c^-1 * a * c^-1 * a^-1 * c^-1 * a * c^-1"
        ],
        "order1": 18,
        "order2": 26,
        "order3": 40,
        "index": 0,
        "presentation_length": 51,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 0,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{18,26,48}_0",
        "name_utf8": "G¹⁸'²⁶'⁴⁸₀",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b * a",
            "b * a^-1 * b * a^-1 * b * a^-1",
            "c * b * c * b * c * b",
            "c * b * c^-1 * b * c^-1 * b * c^-1 * b^-1",
            "a * c * a * c * a^-1 * c^-1 * a^-1 * c^-1"
        ],
        "order1": 18,
        "order2": 26,
        "order3": 48,
        "index": 0,
        "presentation_length": 43,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 2,
        "L2_quotients": [],
        "quotients": {
            "G_{2}(3)": 1
        },
        "alternating_quotients": [
            3,
            27
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "G₂(3)": 1
        },
        "quotients_plain": {
            "G2(3)": 1
        }
    },
    {
        "name": "G^{18,26,54}_0",
        "name_utf8": "G¹⁸'²⁶'⁵⁴₀",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b * a",
            "b * a^-1 * b * a^-1 * b * a^-1",
            "c * b * c * b * c * b",
            "c * b * c^-1 * b * c^-1 * b * c^-1 * b^-1",
            "a * c * a^-1 * c^-1 * a^-1 * c * a * c^-1",
            "a * c * a^-1 * c * a * c * a^-1 * c * a * c * a^-1 * c"
        ],
        "order1": 18,
        "order2": 26,
        "order3": 54,
        "index": 0,
        "presentation_length": 55,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 2,
        "L2_quotients": [],
        "quotients": {
            "A_{2}(9)": 3,
            "A_{2}(3)": 2
        },
        "alternating_quotients": [
            3,
            13,
            26,
            27
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "A₂(9)": 3,
            "A₂(3)": 2
        },
        "quotients_plain": {
            "A2(9)": 3,
            "A2(3)": 2
        }
    },
    {
        "name": "G^{18,26,54}_2",
        "name_utf8": "G¹⁸'²⁶'⁵⁴₂",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b * a",
            "b * a^-1 * b * a^-1 * b * a^-1",
            "c * b * c * b * c * b",
            "c * b * c^-1 * b * c^-1 * b * c^-1 * b^-1",
            "c * a * c^-1 * a^-1 * c^-1 * a * c * a^-1",
            "c * a * c^-1 * a * c * a * c^-1 * a * c * a * c^-1 * a"
        ],
        "order1": 18,
        "order2": 26,
        "order3": 54,
        "index": 2,
        "presentation_length": 55,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 2,
        "L2_quotients": [],
        "quotients": {
            "A_{2}(9)": 3,
            "A_{2}(3)": 2
        },
        "alternating_quotients": [
            3,
            13
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "A₂(9)": 3,
            "A₂(3)": 2
        },
        "quotients_plain": {
            "A2(9)": 3,
            "A2(3)": 2
        }
    },
    {
        "name": "G^{24,24,40}_0",
        "name_utf8": "G²⁴'²⁴'⁴⁰₀",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b * a",
            "b * a * b^-1 * a * b^-1 * a^-1 * b * a^-1",
            "c * b * c * b * c * b",
            "c * b * c^-1 * b * c^-1 * b^-1 * c * b^-1",
            "a * c^-1 * a * c * a * c^-1 * a * c",
            "a^-1 * c^-1 * a * c^-1 * a^-1 * c^-1 * a * c^-1"
        ],
        "order1": 24,
        "order2": 24,
        "order3": 40,
        "index": 0,
        "presentation_length": 53,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 1,
        "L2_quotients": [
            "L_2(3^2)",
            "L_2(3^2)"
        ],
        "quotients": {
            "A_{3}(3)": 1,
            "A_{4}(2)": 2,
            "C_{3}(2)": 1,
            "J_{2}": 4,
            "C_{2}(4)": 4,
            "Alt(7)": 2,
            "M_{22}": 2,
            "B_{2}(5)": 8
        },
        "alternating_quotients": [
            3,
            5,
            6,
            7,
            12,
            13,
            15,
            16,
            17,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [
            "L₂(3²)",
            "L₂(3²)"
        ],
        "quotients_utf8": {
            "C₂(4)": 4,
            "C₃(2)": 1,
            "B₂(5)": 8,
            "M₂₂": 2,
            "A₃(3)": 1,
            "A₄(2)": 2,
            "Alt(7)": 2,
            "J₂": 4
        },
        "quotients_plain": {
            "A3(3)": 1,
            "B2(5)": 8,
            "C2(4)": 4,
            "A4(2)": 2,
            "C3(2)": 1,
            "Alt(7)": 2,
            "M22": 2,
            "J2": 4
        }
    },
    {
        "name": "G^{24,24,48}_0",
        "name_utf8": "G²⁴'²⁴'⁴⁸₀",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b * a",
            "b * a * b^-1 * a * b^-1 * a^-1 * b * a^-1",
            "c * b * c * b * c * b",
            "c * b * c^-1 * b * c^-1 * b^-1 * c * b^-1",
            "a * c * a * c * a^-1 * c^-1 * a^-1 * c^-1"
        ],
        "order1": 24,
        "order2": 24,
        "order3": 48,
        "index": 0,
        "presentation_length": 45,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 3,
        "L2_quotients": [],
        "quotients": {
            "A_{3}(3)": 1,
            "{}^2A_{3}(9)": 5,
            "C_{3}(2)": 6,
            "B_{2}(5)": 2,
            "M_{22}": 1
        },
        "alternating_quotients": [
            3,
            4,
            5,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "C₃(2)": 6,
            "²A₃(9)": 5,
            "B₂(5)": 2,
            "M₂₂": 1,
            "A₃(3)": 1
        },
        "quotients_plain": {
            "A3(3)": 1,
            "B2(5)": 2,
            "C3(2)": 6,
            "2A3(9)": 5,
            "M22": 1
        }
    },
    {
        "name": "G^{24,24,48}_1",
        "name_utf8": "G²⁴'²⁴'⁴⁸₁",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b * a",
            "b * a * b^-1 * a * b^-1 * a^-1 * b * a^-1",
            "c * b * c * b * c * b",
            "c * b * c^-1 * b * c^-1 * b^-1 * c * b^-1",
            "a * c^-1 * a * c^-1 * a^-1 * c * a^-1 * c"
        ],
        "order1": 24,
        "order2": 24,
        "order3": 48,
        "index": 1,
        "presentation_length": 45,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 3,
        "L2_quotients": [],
        "quotients": {
            "HS": 1,
            "M_{12}": 1,
            "Alt(8) or A_{2}(4)": 2,
            "J_{2}": 1,
            "C_{3}(2)": 3,
            "Alt(7)": 3,
            "B_{2}(5)": 3,
            "A_{4}(2)": 1,
            "{}^2A_{3}(9)": 1,
            "{}^2A_{2}(25)": 1,
            "A_{2}(7)": 1,
            "{}^2A_{4}(4)": 2
        },
        "alternating_quotients": [
            3,
            4,
            7,
            8,
            13,
            14,
            15,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "²A₄(4)": 2,
            "²A₂(25)": 1,
            "²A₃(9)": 1,
            "HS": 1,
            "M₁₂": 1,
            "B₂(5)": 3,
            "Alt(7)": 3,
            "A₂(7)": 1,
            "C₃(2)": 3,
            "Alt(8) or A₂(4)": 2,
            "A₄(2)": 1,
            "J₂": 1
        },
        "quotients_plain": {
            "2A2(25)": 1,
            "HS": 1,
            "B2(5)": 3,
            "A4(2)": 1,
            "C3(2)": 3,
            "Alt(7)": 3,
            "J2": 1,
            "Alt(8) or A2(4)": 2,
            "M12": 1,
            "A2(7)": 1,
            "2A3(9)": 1,
            "2A4(4)": 2
        }
    },
    {
        "name": "G^{24,24,54}_0",
        "name_utf8": "G²⁴'²⁴'⁵⁴₀",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b * a",
            "b * a * b^-1 * a * b^-1 * a^-1 * b * a^-1",
            "c * b * c * b * c * b",
            "c * b * c^-1 * b * c^-1 * b^-1 * c * b^-1",
            "a * c * a^-1 * c^-1 * a^-1 * c * a * c^-1",
            "a * c * a^-1 * c * a * c * a^-1 * c * a * c * a^-1 * c"
        ],
        "order1": 24,
        "order2": 24,
        "order3": 54,
        "index": 0,
        "presentation_length": 57,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 3,
        "L2_quotients": [],
        "quotients": {
            "Alt(9)": 3,
            "Alt(10)": 4,
            "{}^2A_{3}(9)": 1,
            "Alt(11)": 2
        },
        "alternating_quotients": [
            3,
            4,
            9,
            10,
            11,
            12,
            13,
            15,
            16,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "Alt(9)": 3,
            "²A₃(9)": 1,
            "Alt(10)": 4,
            "Alt(11)": 2
        },
        "quotients_plain": {
            "Alt(9)": 3,
            "Alt(10)": 4,
            "Alt(11)": 2,
            "2A3(9)": 1
        }
    },
    {
        "name": "G^{24,26,40}_0",
        "name_utf8": "G²⁴'²⁶'⁴⁰₀",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b * a",
            "b * a * b^-1 * a * b^-1 * a^-1 * b * a^-1",
            "c * b * c * b * c * b",
            "c * b * c^-1 * b * c^-1 * b * c^-1 * b^-1",
            "a * c^-1 * a * c * a * c^-1 * a * c",
            "a^-1 * c^-1 * a * c^-1 * a^-1 * c^-1 * a * c^-1"
        ],
        "order1": 24,
        "order2": 26,
        "order3": 40,
        "index": 0,
        "presentation_length": 53,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 0,
        "L2_quotients": [
            "L_2(13^2)"
        ],
        "quotients": {},
        "alternating_quotients": [],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [
            "L₂(13²)"
        ],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{24,26,48}_0",
        "name_utf8": "G²⁴'²⁶'⁴⁸₀",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b * a",
            "b * a * b^-1 * a * b^-1 * a^-1 * b * a^-1",
            "c * b * c * b * c * b",
            "c * b * c^-1 * b * c^-1 * b * c^-1 * b^-1",
            "a * c * a * c * a^-1 * c^-1 * a^-1 * c^-1"
        ],
        "order1": 24,
        "order2": 26,
        "order3": 48,
        "index": 0,
        "presentation_length": 45,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 2,
        "L2_quotients": [
            "L_2(13)"
        ],
        "quotients": {
            "A_{3}(3)": 1
        },
        "alternating_quotients": [
            3,
            13,
            14,
            15,
            16,
            26,
            27,
            28,
            29,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [
            "L₂(13)"
        ],
        "quotients_utf8": {
            "A₃(3)": 1
        },
        "quotients_plain": {
            "A3(3)": 1
        }
    },
    {
        "name": "G^{24,26,48}_1",
        "name_utf8": "G²⁴'²⁶'⁴⁸₁",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b * a",
            "b * a * b^-1 * a * b^-1 * a^-1 * b * a^-1",
            "c * b * c * b * c * b",
            "c * b * c^-1 * b * c^-1 * b * c^-1 * b^-1",
            "a * c^-1 * a * c^-1 * a^-1 * c * a^-1 * c"
        ],
        "order1": 24,
        "order2": 26,
        "order3": 48,
        "index": 1,
        "presentation_length": 45,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 2,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [
            3,
            4,
            14,
            28
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{24,26,54}_0",
        "name_utf8": "G²⁴'²⁶'⁵⁴₀",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b * a",
            "b * a * b^-1 * a * b^-1 * a^-1 * b * a^-1",
            "c * b * c * b * c * b",
            "c * b * c^-1 * b * c^-1 * b * c^-1 * b^-1",
            "a * c * a^-1 * c^-1 * a^-1 * c * a * c^-1",
            "a * c * a^-1 * c * a * c * a^-1 * c * a * c * a^-1 * c"
        ],
        "order1": 24,
        "order2": 26,
        "order3": 54,
        "index": 0,
        "presentation_length": 57,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 2,
        "L2_quotients": [],
        "quotients": {
            "A_{3}(3)": 1
        },
        "alternating_quotients": [
            3,
            13,
            26,
            27,
            28
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "A₃(3)": 1
        },
        "quotients_plain": {
            "A3(3)": 1
        }
    },
    {
        "name": "G^{24,26,54}_2",
        "name_utf8": "G²⁴'²⁶'⁵⁴₂",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b * a",
            "b * a * b^-1 * a * b^-1 * a^-1 * b * a^-1",
            "c * b * c * b * c * b",
            "c * b * c^-1 * b * c^-1 * b * c^-1 * b^-1",
            "c * a * c^-1 * a^-1 * c^-1 * a * c * a^-1",
            "c * a * c^-1 * a * c * a * c^-1 * a * c * a * c^-1 * a"
        ],
        "order1": 24,
        "order2": 26,
        "order3": 54,
        "index": 2,
        "presentation_length": 57,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 2,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [
            3,
            13,
            27
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{26,26,40}_0",
        "name_utf8": "G²⁶'²⁶'⁴⁰₀",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b * a",
            "b * a * b^-1 * a * b^-1 * a * b^-1 * a^-1",
            "c * b * c * b * c * b",
            "c * b * c^-1 * b * c^-1 * b * c^-1 * b^-1",
            "a * c^-1 * a * c * a * c^-1 * a * c",
            "a^-1 * c^-1 * a * c^-1 * a^-1 * c^-1 * a * c^-1"
        ],
        "order1": 26,
        "order2": 26,
        "order3": 40,
        "index": 0,
        "presentation_length": 53,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 0,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [
            13
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{26,26,40}_4",
        "name_utf8": "G²⁶'²⁶'⁴⁰₄",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b * a",
            "b * a * b^-1 * a * b^-1 * a * b^-1 * a^-1",
            "c * b^-1 * c * b^-1 * c * b^-1",
            "c * b^-1 * c^-1 * b^-1 * c^-1 * b^-1 * c^-1 * b",
            "a * c^-1 * a * c * a * c^-1 * a * c",
            "a^-1 * c^-1 * a * c^-1 * a^-1 * c^-1 * a * c^-1"
        ],
        "order1": 26,
        "order2": 26,
        "order3": 40,
        "index": 4,
        "presentation_length": 53,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 0,
        "L2_quotients": [
            "L_2(13^2)"
        ],
        "quotients": {
            "A_{3}(3)": 1,
            "{}^2A_{2}(16)": 1
        },
        "alternating_quotients": [
            13,
            26
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [
            "L₂(13²)"
        ],
        "quotients_utf8": {
            "A₃(3)": 1,
            "²A₂(16)": 1
        },
        "quotients_plain": {
            "2A2(16)": 1,
            "A3(3)": 1
        }
    },
    {
        "name": "G^{26,26,48}_0",
        "name_utf8": "G²⁶'²⁶'⁴⁸₀",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b * a",
            "b * a * b^-1 * a * b^-1 * a * b^-1 * a^-1",
            "c * b * c * b * c * b",
            "c * b * c^-1 * b * c^-1 * b * c^-1 * b^-1",
            "a * c * a * c * a^-1 * c^-1 * a^-1 * c^-1"
        ],
        "order1": 26,
        "order2": 26,
        "order3": 48,
        "index": 0,
        "presentation_length": 45,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {
            "G_{2}(3)": 1,
            "A_{2}(3)": 2
        },
        "alternating_quotients": [
            3,
            13,
            14,
            16,
            26
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "A₂(3)": 2,
            "G₂(3)": 1
        },
        "quotients_plain": {
            "A2(3)": 2,
            "G2(3)": 1
        }
    },
    {
        "name": "G^{26,26,48}_1",
        "name_utf8": "G²⁶'²⁶'⁴⁸₁",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b * a",
            "b * a * b^-1 * a * b^-1 * a * b^-1 * a^-1",
            "c * b * c * b * c * b",
            "c * b * c^-1 * b * c^-1 * b * c^-1 * b^-1",
            "a * c^-1 * a * c^-1 * a^-1 * c * a^-1 * c"
        ],
        "order1": 26,
        "order2": 26,
        "order3": 48,
        "index": 1,
        "presentation_length": 45,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [
            3,
            26,
            28
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{26,26,48}_4",
        "name_utf8": "G²⁶'²⁶'⁴⁸₄",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b * a",
            "b * a * b^-1 * a * b^-1 * a * b^-1 * a^-1",
            "c * b^-1 * c * b^-1 * c * b^-1",
            "c * b^-1 * c^-1 * b^-1 * c^-1 * b^-1 * c^-1 * b",
            "a * c * a * c * a^-1 * c^-1 * a^-1 * c^-1"
        ],
        "order1": 26,
        "order2": 26,
        "order3": 48,
        "index": 4,
        "presentation_length": 45,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 1,
        "L2_quotients": [
            "L_2(13)"
        ],
        "quotients": {
            "A_{3}(3)": 1,
            "G_{2}(3)": 1,
            "A_{2}(3)": 2
        },
        "alternating_quotients": [
            3,
            13,
            14,
            26,
            27,
            28,
            29
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [
            "L₂(13)"
        ],
        "quotients_utf8": {
            "A₃(3)": 1,
            "A₂(3)": 2,
            "G₂(3)": 1
        },
        "quotients_plain": {
            "A2(3)": 2,
            "A3(3)": 1,
            "G2(3)": 1
        }
    },
    {
        "name": "G^{26,26,48}_5",
        "name_utf8": "G²⁶'²⁶'⁴⁸₅",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b * a",
            "b * a * b^-1 * a * b^-1 * a * b^-1 * a^-1",
            "c * b^-1 * c * b^-1 * c * b^-1",
            "c * b^-1 * c^-1 * b^-1 * c^-1 * b^-1 * c^-1 * b",
            "a * c^-1 * a * c^-1 * a^-1 * c * a^-1 * c"
        ],
        "order1": 26,
        "order2": 26,
        "order3": 48,
        "index": 5,
        "presentation_length": 45,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 1,
        "L2_quotients": [
            "L_2(13)"
        ],
        "quotients": {
            "A_{3}(3)": 1,
            "A_{2}(3)": 2
        },
        "alternating_quotients": [
            3,
            13,
            14,
            27
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [
            "L₂(13)"
        ],
        "quotients_utf8": {
            "A₃(3)": 1,
            "A₂(3)": 2
        },
        "quotients_plain": {
            "A2(3)": 2,
            "A3(3)": 1
        }
    },
    {
        "name": "G^{26,26,54}_0",
        "name_utf8": "G²⁶'²⁶'⁵⁴₀",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b * a",
            "b * a * b^-1 * a * b^-1 * a * b^-1 * a^-1",
            "c * b * c * b * c * b",
            "c * b * c^-1 * b * c^-1 * b * c^-1 * b^-1",
            "a * c * a^-1 * c^-1 * a^-1 * c * a * c^-1",
            "a * c * a^-1 * c * a * c * a^-1 * c * a * c * a^-1 * c"
        ],
        "order1": 26,
        "order2": 26,
        "order3": 54,
        "index": 0,
        "presentation_length": 57,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {
            "G_{2}(3)": 2
        },
        "alternating_quotients": [
            3,
            13
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "G₂(3)": 2
        },
        "quotients_plain": {
            "G2(3)": 2
        }
    },
    {
        "name": "G^{26,26,54}_4",
        "name_utf8": "G²⁶'²⁶'⁵⁴₄",
        "half_girth_type": [
            3,
            3,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b * a",
            "b * a * b^-1 * a * b^-1 * a * b^-1 * a^-1",
            "c * b^-1 * c * b^-1 * c * b^-1",
            "c * b^-1 * c^-1 * b^-1 * c^-1 * b^-1 * c^-1 * b",
            "a * c * a^-1 * c^-1 * a^-1 * c * a * c^-1",
            "a * c * a^-1 * c * a * c * a^-1 * c * a * c * a^-1 * c"
        ],
        "order1": 26,
        "order2": 26,
        "order3": 54,
        "index": 4,
        "presentation_length": 57,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {
            "G_{2}(3)": 1,
            "A_{2}(3)": 2
        },
        "alternating_quotients": [
            3,
            13,
            27
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "A₂(3)": 2,
            "G₂(3)": 1
        },
        "quotients_plain": {
            "A2(3)": 2,
            "G2(3)": 1
        }
    },
    {
        "name": "G^{14,40,40}_0",
        "name_utf8": "G¹⁴'⁴⁰'⁴⁰₀",
        "half_girth_type": [
            3,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b^-1 * c * b * c * b^-1 * c * b",
            "c^-1 * b^-1 * c * b^-1 * c^-1 * b^-1 * c * b^-1",
            "a * c^-1 * a * c * a * c^-1 * a * c",
            "a^-1 * c^-1 * a * c^-1 * a^-1 * c^-1 * a * c^-1"
        ],
        "order1": 14,
        "order2": 40,
        "order3": 40,
        "index": 0,
        "presentation_length": 47,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 0,
        "L2_quotients": [
            "L_2(7^2)"
        ],
        "quotients": {
            "A_{4}(2)": 3,
            "Alt(10)": 4,
            "{}^2A_{3}(9)": 2,
            "Alt(8) or A_{2}(4)": 5,
            "C_{3}(2)": 2,
            "Alt(11)": 3,
            "A_{2}(9)": 1
        },
        "alternating_quotients": [
            5,
            10,
            11,
            20,
            21,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [
            "L₂(7²)"
        ],
        "quotients_utf8": {
            "C₃(2)": 2,
            "²A₃(9)": 2,
            "Alt(10)": 4,
            "Alt(8) or A₂(4)": 5,
            "A₄(2)": 3,
            "Alt(11)": 3,
            "A₂(9)": 1
        },
        "quotients_plain": {
            "A2(9)": 1,
            "Alt(10)": 4,
            "A4(2)": 3,
            "C3(2)": 2,
            "2A3(9)": 2,
            "Alt(11)": 3,
            "Alt(8) or A2(4)": 5
        }
    },
    {
        "name": "G^{14,40,48}_0",
        "name_utf8": "G¹⁴'⁴⁰'⁴⁸₀",
        "half_girth_type": [
            3,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b^-1 * c * b * c * b^-1 * c * b",
            "c^-1 * b^-1 * c * b^-1 * c^-1 * b^-1 * c * b^-1",
            "a * c * a * c * a^-1 * c^-1 * a^-1 * c^-1"
        ],
        "order1": 14,
        "order2": 40,
        "order3": 48,
        "index": 0,
        "presentation_length": 39,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 0,
        "L2_quotients": [
            "L_2(7^2)"
        ],
        "quotients": {
            "A_{4}(2)": 1,
            "Alt(10)": 1,
            "Alt(7)": 1
        },
        "alternating_quotients": [
            7,
            10
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [
            "L₂(7²)"
        ],
        "quotients_utf8": {
            "Alt(10)": 1,
            "A₄(2)": 1,
            "Alt(7)": 1
        },
        "quotients_plain": {
            "Alt(10)": 1,
            "A4(2)": 1,
            "Alt(7)": 1
        }
    },
    {
        "name": "G^{14,40,54}_0",
        "name_utf8": "G¹⁴'⁴⁰'⁵⁴₀",
        "half_girth_type": [
            3,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b^-1 * c * b * c * b^-1 * c * b",
            "c^-1 * b^-1 * c * b^-1 * c^-1 * b^-1 * c * b^-1",
            "a * c * a^-1 * c^-1 * a^-1 * c * a * c^-1",
            "a * c * a^-1 * c * a * c * a^-1 * c * a * c * a^-1 * c"
        ],
        "order1": 14,
        "order2": 40,
        "order3": 54,
        "index": 0,
        "presentation_length": 51,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 0,
        "L2_quotients": [],
        "quotients": {
            "C_{3}(2)": 2,
            "J_{2}": 1
        },
        "alternating_quotients": [
            21,
            25
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "C₃(2)": 2,
            "J₂": 1
        },
        "quotients_plain": {
            "C3(2)": 2,
            "J2": 1
        }
    },
    {
        "name": "G^{14,40,54}_2",
        "name_utf8": "G¹⁴'⁴⁰'⁵⁴₂",
        "half_girth_type": [
            3,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b^-1 * c * b * c * b^-1 * c * b",
            "c^-1 * b^-1 * c * b^-1 * c^-1 * b^-1 * c * b^-1",
            "c * a * c^-1 * a^-1 * c^-1 * a * c * a^-1",
            "c * a * c^-1 * a * c * a * c^-1 * a * c * a * c^-1 * a"
        ],
        "order1": 14,
        "order2": 40,
        "order3": 54,
        "index": 2,
        "presentation_length": 51,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 0,
        "L2_quotients": [],
        "quotients": {
            "C_{3}(2)": 2,
            "J_{2}": 1
        },
        "alternating_quotients": [
            20,
            21,
            22,
            25,
            27,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "C₃(2)": 2,
            "J₂": 1
        },
        "quotients_plain": {
            "C3(2)": 2,
            "J2": 1
        }
    },
    {
        "name": "G^{14,48,48}_0",
        "name_utf8": "G¹⁴'⁴⁸'⁴⁸₀",
        "half_girth_type": [
            3,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b * c * b * c^-1 * b^-1 * c^-1 * b^-1",
            "a * c * a * c * a^-1 * c^-1 * a^-1 * c^-1"
        ],
        "order1": 14,
        "order2": 48,
        "order3": 48,
        "index": 0,
        "presentation_length": 31,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 2,
        "L2_quotients": [
            "L_2(7)"
        ],
        "quotients": {
            "{}^2A_{3}(9)": 1,
            "Alt(8) or A_{2}(4)": 1,
            "J_{2}": 1,
            "C_{3}(2)": 2,
            "Alt(7)": 1,
            "G_{2}(3)": 2
        },
        "alternating_quotients": [
            3,
            7,
            8,
            15,
            16,
            22,
            23,
            24,
            27,
            28,
            29,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [
            "L₂(7)"
        ],
        "quotients_utf8": {
            "C₃(2)": 2,
            "²A₃(9)": 1,
            "Alt(8) or A₂(4)": 1,
            "Alt(7)": 1,
            "J₂": 1,
            "G₂(3)": 2
        },
        "quotients_plain": {
            "G2(3)": 2,
            "C3(2)": 2,
            "Alt(7)": 1,
            "J2": 1,
            "2A3(9)": 1,
            "Alt(8) or A2(4)": 1
        }
    },
    {
        "name": "G^{14,48,48}_1",
        "name_utf8": "G¹⁴'⁴⁸'⁴⁸₁",
        "half_girth_type": [
            3,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b * c * b * c^-1 * b^-1 * c^-1 * b^-1",
            "a * c^-1 * a * c^-1 * a^-1 * c * a^-1 * c"
        ],
        "order1": 14,
        "order2": 48,
        "order3": 48,
        "index": 1,
        "presentation_length": 31,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 2,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [
            3,
            4
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{14,48,54}_0",
        "name_utf8": "G¹⁴'⁴⁸'⁵⁴₀",
        "half_girth_type": [
            3,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b * c * b * c^-1 * b^-1 * c^-1 * b^-1",
            "a * c * a^-1 * c^-1 * a^-1 * c * a * c^-1",
            "a * c * a^-1 * c * a * c * a^-1 * c * a * c * a^-1 * c"
        ],
        "order1": 14,
        "order2": 48,
        "order3": 54,
        "index": 0,
        "presentation_length": 43,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 2,
        "L2_quotients": [],
        "quotients": {
            "G_{2}(3)": 1
        },
        "alternating_quotients": [
            3,
            18
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "G₂(3)": 1
        },
        "quotients_plain": {
            "G2(3)": 1
        }
    },
    {
        "name": "G^{14,48,54}_2",
        "name_utf8": "G¹⁴'⁴⁸'⁵⁴₂",
        "half_girth_type": [
            3,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b * c * b * c^-1 * b^-1 * c^-1 * b^-1",
            "c * a * c^-1 * a^-1 * c^-1 * a * c * a^-1",
            "c * a * c^-1 * a * c * a * c^-1 * a * c * a * c^-1 * a"
        ],
        "order1": 14,
        "order2": 48,
        "order3": 54,
        "index": 2,
        "presentation_length": 43,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 2,
        "L2_quotients": [],
        "quotients": {
            "{}^2A_{3}(9)": 1,
            "C_{3}(2)": 3,
            "G_{2}(3)": 1
        },
        "alternating_quotients": [
            3,
            14,
            15,
            21,
            22,
            28,
            29,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "C₃(2)": 3,
            "²A₃(9)": 1,
            "G₂(3)": 1
        },
        "quotients_plain": {
            "C3(2)": 3,
            "2A3(9)": 1,
            "G2(3)": 1
        }
    },
    {
        "name": "G^{14,54,54}_0",
        "name_utf8": "G¹⁴'⁵⁴'⁵⁴₀",
        "half_girth_type": [
            3,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b * c^-1 * b^-1 * c^-1 * b * c * b^-1",
            "c * b * c^-1 * b * c * b * c^-1 * b * c * b * c^-1 * b",
            "a * c * a^-1 * c^-1 * a^-1 * c * a * c^-1",
            "a * c * a^-1 * c * a * c * a^-1 * c * a * c * a^-1 * c"
        ],
        "order1": 14,
        "order2": 54,
        "order3": 54,
        "index": 0,
        "presentation_length": 55,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 2,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [
            3,
            21,
            28,
            29
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{14,54,54}_2",
        "name_utf8": "G¹⁴'⁵⁴'⁵⁴₂",
        "half_girth_type": [
            3,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "c * b * c^-1 * b^-1 * c^-1 * b * c * b^-1",
            "c * b * c^-1 * b * c * b * c^-1 * b * c * b * c^-1 * b",
            "c * a * c^-1 * a^-1 * c^-1 * a * c * a^-1",
            "c * a * c^-1 * a * c * a * c^-1 * a * c * a * c^-1 * a"
        ],
        "order1": 14,
        "order2": 54,
        "order3": 54,
        "index": 2,
        "presentation_length": 55,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 2,
        "L2_quotients": [],
        "quotients": {
            "Alt(10)": 6,
            "{}^2A_{3}(9)": 2
        },
        "alternating_quotients": [
            3,
            10,
            13,
            14,
            17,
            19,
            20,
            21,
            23,
            24,
            27,
            28,
            29,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "²A₃(9)": 2,
            "Alt(10)": 6
        },
        "quotients_plain": {
            "Alt(10)": 6,
            "2A3(9)": 2
        }
    },
    {
        "name": "G^{14,54,54}_8",
        "name_utf8": "G¹⁴'⁵⁴'⁵⁴₈",
        "half_girth_type": [
            3,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b * a",
            "b * c * b^-1 * c^-1 * b^-1 * c * b * c^-1",
            "b * c * b^-1 * c * b * c * b^-1 * c * b * c * b^-1 * c",
            "a * c * a^-1 * c^-1 * a^-1 * c * a * c^-1",
            "a * c * a^-1 * c * a * c * a^-1 * c * a * c * a^-1 * c"
        ],
        "order1": 14,
        "order2": 54,
        "order3": 54,
        "index": 8,
        "presentation_length": 55,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 2,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [
            3,
            18,
            21,
            27,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{16,40,40}_0",
        "name_utf8": "G¹⁶'⁴⁰'⁴⁰₀",
        "half_girth_type": [
            3,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a^-1 * b^-1 * a^-1",
            "c * b^-1 * c * b * c * b^-1 * c * b",
            "c^-1 * b^-1 * c * b^-1 * c^-1 * b^-1 * c * b^-1",
            "a * c^-1 * a * c * a * c^-1 * a * c",
            "a^-1 * c^-1 * a * c^-1 * a^-1 * c^-1 * a * c^-1"
        ],
        "order1": 16,
        "order2": 40,
        "order3": 40,
        "index": 0,
        "presentation_length": 47,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 0,
        "L2_quotients": [
            "L_2(inf^4)"
        ],
        "quotients": {
            "M_{11}": 4,
            "A_{3}(3)": 2,
            "B_{2}(3)": 7,
            "{}^2A_{2}(25)": 1,
            "Alt(10)": 4,
            "J_{2}": 2,
            "C_{2}(4)": 2,
            "{}^2A_{3}(9)": 4,
            "B_{2}(5)": 11,
            "Alt(11)": 6
        },
        "alternating_quotients": [
            5,
            6,
            10,
            11,
            15,
            16,
            17,
            20,
            21,
            22,
            24,
            25,
            26,
            27,
            28,
            29,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [
            "L₂(inf⁴)"
        ],
        "quotients_utf8": {
            "C₂(4)": 2,
            "²A₂(25)": 1,
            "²A₃(9)": 4,
            "Alt(10)": 4,
            "B₂(5)": 11,
            "A₃(3)": 2,
            "Alt(11)": 6,
            "J₂": 2,
            "B₂(3)": 7,
            "M₁₁": 4
        },
        "quotients_plain": {
            "B2(3)": 7,
            "2A2(25)": 1,
            "A3(3)": 2,
            "B2(5)": 11,
            "C2(4)": 2,
            "M11": 4,
            "Alt(10)": 4,
            "Alt(11)": 6,
            "J2": 2,
            "2A3(9)": 4
        }
    },
    {
        "name": "G^{16,40,48}_0",
        "name_utf8": "G¹⁶'⁴⁰'⁴⁸₀",
        "half_girth_type": [
            3,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a^-1 * b^-1 * a^-1",
            "c * b^-1 * c * b * c * b^-1 * c * b",
            "c^-1 * b^-1 * c * b^-1 * c^-1 * b^-1 * c * b^-1",
            "a * c * a * c * a^-1 * c^-1 * a^-1 * c^-1"
        ],
        "order1": 16,
        "order2": 40,
        "order3": 48,
        "index": 0,
        "presentation_length": 39,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 0,
        "L2_quotients": [
            "L_2(3^2)"
        ],
        "quotients": {
            "M_{11}": 1,
            "A_{3}(3)": 2,
            "A_{4}(2)": 3,
            "B_{2}(3)": 1,
            "{}^2A_{3}(9)": 1,
            "J_{2}": 2,
            "B_{2}(5)": 5,
            "Alt(11)": 2
        },
        "alternating_quotients": [
            5,
            6,
            11,
            16,
            18,
            21,
            22,
            23,
            24,
            26,
            27,
            28,
            29,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [
            "L₂(3²)"
        ],
        "quotients_utf8": {
            "²A₃(9)": 1,
            "B₂(5)": 5,
            "A₃(3)": 2,
            "A₄(2)": 3,
            "Alt(11)": 2,
            "J₂": 2,
            "B₂(3)": 1,
            "M₁₁": 1
        },
        "quotients_plain": {
            "B2(3)": 1,
            "A3(3)": 2,
            "B2(5)": 5,
            "M11": 1,
            "A4(2)": 3,
            "Alt(11)": 2,
            "J2": 2,
            "2A3(9)": 1
        }
    },
    {
        "name": "G^{16,40,54}_0",
        "name_utf8": "G¹⁶'⁴⁰'⁵⁴₀",
        "half_girth_type": [
            3,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a^-1 * b^-1 * a^-1",
            "c * b^-1 * c * b * c * b^-1 * c * b",
            "c^-1 * b^-1 * c * b^-1 * c^-1 * b^-1 * c * b^-1",
            "a * c * a^-1 * c^-1 * a^-1 * c * a * c^-1",
            "a * c * a^-1 * c * a * c * a^-1 * c * a * c * a^-1 * c"
        ],
        "order1": 16,
        "order2": 40,
        "order3": 54,
        "index": 0,
        "presentation_length": 51,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 0,
        "L2_quotients": [
            "L_2(3^2)"
        ],
        "quotients": {
            "A_{3}(3)": 3,
            "B_{2}(3)": 5,
            "M_{12}": 5,
            "C_{3}(2)": 1,
            "{}^2A_{3}(9)": 2,
            "{}^2A_{4}(4)": 1
        },
        "alternating_quotients": [
            6,
            12,
            17,
            18,
            21,
            23,
            24,
            26,
            27,
            28,
            29,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [
            "L₂(3²)"
        ],
        "quotients_utf8": {
            "²A₄(4)": 1,
            "C₃(2)": 1,
            "²A₃(9)": 2,
            "M₁₂": 5,
            "A₃(3)": 3,
            "B₂(3)": 5
        },
        "quotients_plain": {
            "M12": 5,
            "B2(3)": 5,
            "A3(3)": 3,
            "C3(2)": 1,
            "2A3(9)": 2,
            "2A4(4)": 1
        }
    },
    {
        "name": "G^{16,40,54}_2",
        "name_utf8": "G¹⁶'⁴⁰'⁵⁴₂",
        "half_girth_type": [
            3,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a^-1 * b^-1 * a^-1",
            "c * b^-1 * c * b * c * b^-1 * c * b",
            "c^-1 * b^-1 * c * b^-1 * c^-1 * b^-1 * c * b^-1",
            "c * a * c^-1 * a^-1 * c^-1 * a * c * a^-1",
            "c * a * c^-1 * a * c * a * c^-1 * a * c * a * c^-1 * a"
        ],
        "order1": 16,
        "order2": 40,
        "order3": 54,
        "index": 2,
        "presentation_length": 51,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 0,
        "L2_quotients": [
            "L_2(3^2)"
        ],
        "quotients": {
            "A_{3}(3)": 4,
            "B_{2}(3)": 4,
            "M_{12}": 5,
            "Alt(10)": 3,
            "{}^2A_{3}(9)": 4,
            "{}^2A_{4}(4)": 1
        },
        "alternating_quotients": [
            6,
            10,
            12,
            15,
            16,
            18,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [
            "L₂(3²)"
        ],
        "quotients_utf8": {
            "²A₄(4)": 1,
            "²A₃(9)": 4,
            "M₁₂": 5,
            "Alt(10)": 3,
            "A₃(3)": 4,
            "B₂(3)": 4
        },
        "quotients_plain": {
            "M12": 5,
            "B2(3)": 4,
            "A3(3)": 4,
            "Alt(10)": 3,
            "2A3(9)": 4,
            "2A4(4)": 1
        }
    },
    {
        "name": "G^{16,48,48}_0",
        "name_utf8": "G¹⁶'⁴⁸'⁴⁸₀",
        "half_girth_type": [
            3,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a^-1 * b^-1 * a^-1",
            "c * b * c * b * c^-1 * b^-1 * c^-1 * b^-1",
            "a * c * a * c * a^-1 * c^-1 * a^-1 * c^-1"
        ],
        "order1": 16,
        "order2": 48,
        "order3": 48,
        "index": 0,
        "presentation_length": 31,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 2,
        "L2_quotients": [],
        "quotients": {
            "HS": 1,
            "{}^2A_{2}(81)": 2,
            "{}^2A_{2}(64)": 2,
            "Alt(10)": 2,
            "Alt(8) or A_{2}(4)": 2,
            "J_{2}": 2,
            "C_{3}(2)": 5,
            "Alt(7)": 1,
            "B_{2}(5)": 5,
            "{}^2A_{2}(9)": 1,
            "A_{3}(3)": 5,
            "A_{4}(2)": 2,
            "B_{2}(3)": 5,
            "{}^2A_{2}(25)": 1,
            "{}^2A_{3}(9)": 4,
            "Alt(11)": 1,
            "A_{2}(9)": 1
        },
        "alternating_quotients": [
            3,
            4,
            7,
            8,
            10,
            11,
            12,
            15,
            16,
            18,
            19,
            20,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "²A₂(25)": 1,
            "²A₃(9)": 4,
            "²A₂(81)": 2,
            "HS": 1,
            "Alt(10)": 2,
            "B₂(5)": 5,
            "A₂(9)": 1,
            "Alt(7)": 1,
            "B₂(3)": 5,
            "C₃(2)": 5,
            "²A₂(9)": 1,
            "Alt(8) or A₂(4)": 2,
            "²A₂(64)": 2,
            "A₃(3)": 5,
            "A₄(2)": 2,
            "J₂": 2,
            "Alt(11)": 1
        },
        "quotients_plain": {
            "2A2(25)": 1,
            "A3(3)": 5,
            "A2(9)": 1,
            "B2(5)": 5,
            "Alt(10)": 2,
            "HS": 1,
            "A4(2)": 2,
            "C3(2)": 5,
            "Alt(7)": 1,
            "2A2(9)": 1,
            "J2": 2,
            "Alt(8) or A2(4)": 2,
            "B2(3)": 5,
            "2A2(64)": 2,
            "Alt(11)": 1,
            "2A3(9)": 4,
            "2A2(81)": 2
        }
    },
    {
        "name": "G^{16,48,48}_1",
        "name_utf8": "G¹⁶'⁴⁸'⁴⁸₁",
        "half_girth_type": [
            3,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a^-1 * b^-1 * a^-1",
            "c * b * c * b * c^-1 * b^-1 * c^-1 * b^-1",
            "a * c^-1 * a * c^-1 * a^-1 * c * a^-1 * c"
        ],
        "order1": 16,
        "order2": 48,
        "order3": 48,
        "index": 1,
        "presentation_length": 31,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 2,
        "L2_quotients": [],
        "quotients": {
            "Alt(9)": 2,
            "HS": 2,
            "{}^2A_{2}(9)": 2,
            "A_{3}(3)": 6,
            "{}^2A_{2}(81)": 2,
            "B_{2}(3)": 8,
            "{}^2A_{3}(9)": 1,
            "C_{3}(2)": 10,
            "Alt(11)": 1,
            "A_{2}(3)": 1
        },
        "alternating_quotients": [
            3,
            4,
            5,
            9,
            11,
            14,
            15,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "C₃(2)": 10,
            "Alt(9)": 2,
            "²A₂(9)": 2,
            "²A₃(9)": 1,
            "²A₂(81)": 2,
            "HS": 2,
            "A₃(3)": 6,
            "Alt(11)": 1,
            "A₂(3)": 1,
            "B₂(3)": 8
        },
        "quotients_plain": {
            "Alt(9)": 2,
            "B2(3)": 8,
            "A2(3)": 1,
            "A3(3)": 6,
            "HS": 2,
            "Alt(11)": 1,
            "C3(2)": 10,
            "2A3(9)": 1,
            "2A2(9)": 2,
            "2A2(81)": 2
        }
    },
    {
        "name": "G^{16,48,54}_0",
        "name_utf8": "G¹⁶'⁴⁸'⁵⁴₀",
        "half_girth_type": [
            3,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a^-1 * b^-1 * a^-1",
            "c * b * c * b * c^-1 * b^-1 * c^-1 * b^-1",
            "a * c * a^-1 * c^-1 * a^-1 * c * a * c^-1",
            "a * c * a^-1 * c * a * c * a^-1 * c * a * c * a^-1 * c"
        ],
        "order1": 16,
        "order2": 48,
        "order3": 54,
        "index": 0,
        "presentation_length": 43,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 2,
        "L2_quotients": [],
        "quotients": {
            "Alt(9)": 1,
            "A_{3}(3)": 1,
            "B_{2}(3)": 4,
            "Alt(10)": 1,
            "C_{3}(2)": 1,
            "{}^2A_{3}(9)": 3,
            "A_{2}(9)": 3,
            "A_{2}(3)": 2,
            "{}^2A_{4}(4)": 1
        },
        "alternating_quotients": [
            3,
            4,
            9,
            10,
            12,
            17,
            18,
            19,
            21,
            22,
            24,
            25,
            26,
            27,
            28,
            29,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "²A₄(4)": 1,
            "C₃(2)": 1,
            "Alt(9)": 1,
            "²A₃(9)": 3,
            "Alt(10)": 1,
            "A₃(3)": 1,
            "A₂(9)": 3,
            "A₂(3)": 2,
            "B₂(3)": 4
        },
        "quotients_plain": {
            "Alt(9)": 1,
            "B2(3)": 4,
            "A2(3)": 2,
            "A3(3)": 1,
            "A2(9)": 3,
            "Alt(10)": 1,
            "C3(2)": 1,
            "2A3(9)": 3,
            "2A4(4)": 1
        }
    },
    {
        "name": "G^{16,48,54}_2",
        "name_utf8": "G¹⁶'⁴⁸'⁵⁴₂",
        "half_girth_type": [
            3,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a^-1 * b^-1 * a^-1",
            "c * b * c * b * c^-1 * b^-1 * c^-1 * b^-1",
            "c * a * c^-1 * a^-1 * c^-1 * a * c * a^-1",
            "c * a * c^-1 * a * c * a * c^-1 * a * c * a * c^-1 * a"
        ],
        "order1": 16,
        "order2": 48,
        "order3": 54,
        "index": 2,
        "presentation_length": 43,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 2,
        "L2_quotients": [],
        "quotients": {
            "A_{3}(3)": 3,
            "B_{2}(3)": 4,
            "Alt(10)": 3,
            "C_{3}(2)": 1,
            "{}^2A_{3}(9)": 2,
            "A_{2}(9)": 3,
            "A_{2}(3)": 2,
            "{}^2A_{4}(4)": 5
        },
        "alternating_quotients": [
            3,
            4,
            10,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "²A₄(4)": 5,
            "C₃(2)": 1,
            "²A₃(9)": 2,
            "Alt(10)": 3,
            "A₃(3)": 3,
            "A₂(9)": 3,
            "A₂(3)": 2,
            "B₂(3)": 4
        },
        "quotients_plain": {
            "B2(3)": 4,
            "A2(3)": 2,
            "A3(3)": 3,
            "A2(9)": 3,
            "Alt(10)": 3,
            "C3(2)": 1,
            "2A3(9)": 2,
            "2A4(4)": 5
        }
    },
    {
        "name": "G^{16,54,54}_0",
        "name_utf8": "G¹⁶'⁵⁴'⁵⁴₀",
        "half_girth_type": [
            3,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a^-1 * b^-1 * a^-1",
            "c * b * c^-1 * b^-1 * c^-1 * b * c * b^-1",
            "c * b * c^-1 * b * c * b * c^-1 * b * c * b * c^-1 * b",
            "a * c * a^-1 * c^-1 * a^-1 * c * a * c^-1",
            "a * c * a^-1 * c * a * c * a^-1 * c * a * c * a^-1 * c"
        ],
        "order1": 16,
        "order2": 54,
        "order3": 54,
        "index": 0,
        "presentation_length": 55,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 2,
        "L2_quotients": [],
        "quotients": {
            "{}^2A_{2}(64)": 2,
            "A_{2}(9)": 3,
            "A_{2}(3)": 2,
            "{}^2A_{4}(4)": 2
        },
        "alternating_quotients": [
            3,
            4,
            20,
            21,
            22,
            24,
            25,
            26,
            27,
            29,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "²A₄(4)": 2,
            "²A₂(64)": 2,
            "A₂(9)": 3,
            "A₂(3)": 2
        },
        "quotients_plain": {
            "A2(9)": 3,
            "A2(3)": 2,
            "2A2(64)": 2,
            "2A4(4)": 2
        }
    },
    {
        "name": "G^{16,54,54}_2",
        "name_utf8": "G¹⁶'⁵⁴'⁵⁴₂",
        "half_girth_type": [
            3,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a^-1 * b^-1 * a^-1",
            "c * b * c^-1 * b^-1 * c^-1 * b * c * b^-1",
            "c * b * c^-1 * b * c * b * c^-1 * b * c * b * c^-1 * b",
            "c * a * c^-1 * a^-1 * c^-1 * a * c * a^-1",
            "c * a * c^-1 * a * c * a * c^-1 * a * c * a * c^-1 * a"
        ],
        "order1": 16,
        "order2": 54,
        "order3": 54,
        "index": 2,
        "presentation_length": 55,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 2,
        "L2_quotients": [],
        "quotients": {
            "Alt(9)": 2,
            "{}^2A_{2}(64)": 2,
            "Alt(10)": 12,
            "C_{3}(2)": 4,
            "A_{3}(3)": 5,
            "B_{2}(3)": 6,
            "{}^2A_{3}(9)": 3,
            "A_{2}(9)": 3,
            "Alt(11)": 6,
            "A_{2}(3)": 2,
            "{}^2A_{4}(4)": 5
        },
        "alternating_quotients": [
            3,
            4,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "²A₄(4)": 5,
            "Alt(9)": 2,
            "²A₃(9)": 3,
            "Alt(10)": 12,
            "A₂(9)": 3,
            "B₂(3)": 6,
            "C₃(2)": 4,
            "A₃(3)": 5,
            "²A₂(64)": 2,
            "Alt(11)": 6,
            "A₂(3)": 2
        },
        "quotients_plain": {
            "Alt(9)": 2,
            "A2(9)": 3,
            "A2(3)": 2,
            "A3(3)": 5,
            "Alt(10)": 12,
            "C3(2)": 4,
            "B2(3)": 6,
            "2A2(64)": 2,
            "Alt(11)": 6,
            "2A3(9)": 3,
            "2A4(4)": 5
        }
    },
    {
        "name": "G^{16,54,54}_8",
        "name_utf8": "G¹⁶'⁵⁴'⁵⁴₈",
        "half_girth_type": [
            3,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a^-1 * b^-1 * a^-1",
            "b * c * b^-1 * c^-1 * b^-1 * c * b * c^-1",
            "b * c * b^-1 * c * b * c * b^-1 * c * b * c * b^-1 * c",
            "a * c * a^-1 * c^-1 * a^-1 * c * a * c^-1",
            "a * c * a^-1 * c * a * c * a^-1 * c * a * c * a^-1 * c"
        ],
        "order1": 16,
        "order2": 54,
        "order3": 54,
        "index": 8,
        "presentation_length": 55,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 2,
        "L2_quotients": [],
        "quotients": {
            "Alt(9)": 2,
            "{}^2A_{2}(64)": 2,
            "A_{3}(3)": 7,
            "B_{2}(3)": 4,
            "{}^2A_{3}(9)": 3,
            "A_{2}(9)": 3,
            "A_{2}(3)": 2,
            "{}^2A_{4}(4)": 3
        },
        "alternating_quotients": [
            3,
            4,
            9,
            12,
            18,
            19,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "²A₄(4)": 3,
            "Alt(9)": 2,
            "²A₃(9)": 3,
            "A₃(3)": 7,
            "²A₂(64)": 2,
            "A₂(9)": 3,
            "A₂(3)": 2,
            "B₂(3)": 4
        },
        "quotients_plain": {
            "Alt(9)": 2,
            "B2(3)": 4,
            "A2(3)": 2,
            "2A2(64)": 2,
            "A3(3)": 7,
            "A2(9)": 3,
            "2A3(9)": 3,
            "2A4(4)": 3
        }
    },
    {
        "name": "G^{18,40,40}_0",
        "name_utf8": "G¹⁸'⁴⁰'⁴⁰₀",
        "half_girth_type": [
            3,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b * a",
            "b * a^-1 * b * a^-1 * b * a^-1",
            "c * b^-1 * c * b * c * b^-1 * c * b",
            "c^-1 * b^-1 * c * b^-1 * c^-1 * b^-1 * c * b^-1",
            "a * c^-1 * a * c * a * c^-1 * a * c",
            "a^-1 * c^-1 * a * c^-1 * a^-1 * c^-1 * a * c^-1"
        ],
        "order1": 18,
        "order2": 40,
        "order3": 40,
        "index": 0,
        "presentation_length": 53,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 0,
        "L2_quotients": [],
        "quotients": {
            "B_{2}(3)": 5,
            "M_{12}": 2,
            "Alt(10)": 8,
            "{}^2A_{3}(9)": 1,
            "Alt(7)": 2,
            "{}^2A_{4}(4)": 3
        },
        "alternating_quotients": [
            5,
            7,
            10,
            15,
            17,
            20,
            21,
            22,
            24,
            25,
            26,
            27,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "²A₄(4)": 3,
            "²A₃(9)": 1,
            "M₁₂": 2,
            "Alt(10)": 8,
            "Alt(7)": 2,
            "B₂(3)": 5
        },
        "quotients_plain": {
            "M12": 2,
            "B2(3)": 5,
            "Alt(10)": 8,
            "Alt(7)": 2,
            "2A3(9)": 1,
            "2A4(4)": 3
        }
    },
    {
        "name": "G^{18,40,48}_0",
        "name_utf8": "G¹⁸'⁴⁰'⁴⁸₀",
        "half_girth_type": [
            3,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b * a",
            "b * a^-1 * b * a^-1 * b * a^-1",
            "c * b^-1 * c * b * c * b^-1 * c * b",
            "c^-1 * b^-1 * c * b^-1 * c^-1 * b^-1 * c * b^-1",
            "a * c * a * c * a^-1 * c^-1 * a^-1 * c^-1"
        ],
        "order1": 18,
        "order2": 40,
        "order3": 48,
        "index": 0,
        "presentation_length": 45,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 1,
        "L2_quotients": [
            "L_2(3^2)"
        ],
        "quotients": {
            "A_{3}(3)": 10,
            "B_{2}(3)": 5,
            "M_{12}": 7,
            "Alt(10)": 2,
            "{}^2A_{3}(9)": 4,
            "Alt(11)": 5
        },
        "alternating_quotients": [
            3,
            5,
            6,
            10,
            11,
            12,
            14,
            15,
            16,
            17,
            18,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [
            "L₂(3²)"
        ],
        "quotients_utf8": {
            "²A₃(9)": 4,
            "M₁₂": 7,
            "Alt(10)": 2,
            "A₃(3)": 10,
            "Alt(11)": 5,
            "B₂(3)": 5
        },
        "quotients_plain": {
            "M12": 7,
            "B2(3)": 5,
            "A3(3)": 10,
            "Alt(10)": 2,
            "Alt(11)": 5,
            "2A3(9)": 4
        }
    },
    {
        "name": "G^{18,40,54}_0",
        "name_utf8": "G¹⁸'⁴⁰'⁵⁴₀",
        "half_girth_type": [
            3,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b * a",
            "b * a^-1 * b * a^-1 * b * a^-1",
            "c * b^-1 * c * b * c * b^-1 * c * b",
            "c^-1 * b^-1 * c * b^-1 * c^-1 * b^-1 * c * b^-1",
            "a * c * a^-1 * c^-1 * a^-1 * c * a * c^-1",
            "a * c * a^-1 * c * a * c * a^-1 * c * a * c * a^-1 * c"
        ],
        "order1": 18,
        "order2": 40,
        "order3": 54,
        "index": 0,
        "presentation_length": 57,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {
            "A_{3}(3)": 14,
            "B_{2}(3)": 2,
            "M_{12}": 2,
            "Alt(10)": 4,
            "{}^2A_{4}(4)": 3
        },
        "alternating_quotients": [
            3,
            5,
            10,
            12,
            15,
            17,
            18,
            19,
            20,
            21,
            22,
            24,
            25,
            26,
            27,
            28,
            29,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "²A₄(4)": 3,
            "M₁₂": 2,
            "Alt(10)": 4,
            "A₃(3)": 14,
            "B₂(3)": 2
        },
        "quotients_plain": {
            "M12": 2,
            "B2(3)": 2,
            "A3(3)": 14,
            "Alt(10)": 4,
            "2A4(4)": 3
        }
    },
    {
        "name": "G^{18,40,54}_2",
        "name_utf8": "G¹⁸'⁴⁰'⁵⁴₂",
        "half_girth_type": [
            3,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b * a",
            "b * a^-1 * b * a^-1 * b * a^-1",
            "c * b^-1 * c * b * c * b^-1 * c * b",
            "c^-1 * b^-1 * c * b^-1 * c^-1 * b^-1 * c * b^-1",
            "c * a * c^-1 * a^-1 * c^-1 * a * c * a^-1",
            "c * a * c^-1 * a * c * a * c^-1 * a * c * a * c^-1 * a"
        ],
        "order1": 18,
        "order2": 40,
        "order3": 54,
        "index": 2,
        "presentation_length": 57,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {
            "Alt(9)": 2,
            "A_{3}(3)": 5,
            "B_{2}(3)": 2,
            "M_{12}": 2,
            "{}^2A_{3}(9)": 3,
            "{}^2A_{4}(4)": 4
        },
        "alternating_quotients": [
            3,
            5,
            9,
            12,
            15,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "²A₄(4)": 4,
            "Alt(9)": 2,
            "²A₃(9)": 3,
            "M₁₂": 2,
            "A₃(3)": 5,
            "B₂(3)": 2
        },
        "quotients_plain": {
            "M12": 2,
            "B2(3)": 2,
            "Alt(9)": 2,
            "A3(3)": 5,
            "2A3(9)": 3,
            "2A4(4)": 4
        }
    },
    {
        "name": "G^{18,48,48}_0",
        "name_utf8": "G¹⁸'⁴⁸'⁴⁸₀",
        "half_girth_type": [
            3,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b * a",
            "b * a^-1 * b * a^-1 * b * a^-1",
            "c * b * c * b * c^-1 * b^-1 * c^-1 * b^-1",
            "a * c * a * c * a^-1 * c^-1 * a^-1 * c^-1"
        ],
        "order1": 18,
        "order2": 48,
        "order3": 48,
        "index": 0,
        "presentation_length": 37,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 3,
        "L2_quotients": [],
        "quotients": {
            "A_{3}(3)": 9,
            "B_{2}(3)": 3,
            "Alt(10)": 3,
            "{}^2A_{3}(9)": 4,
            "Alt(11)": 2,
            "A_{2}(9)": 3,
            "A_{2}(3)": 2
        },
        "alternating_quotients": [
            3,
            4,
            10,
            11,
            12,
            13,
            14,
            15,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "²A₃(9)": 4,
            "Alt(10)": 3,
            "A₃(3)": 9,
            "Alt(11)": 2,
            "A₂(9)": 3,
            "A₂(3)": 2,
            "B₂(3)": 3
        },
        "quotients_plain": {
            "B2(3)": 3,
            "A2(3)": 2,
            "A3(3)": 9,
            "A2(9)": 3,
            "Alt(10)": 3,
            "Alt(11)": 2,
            "2A3(9)": 4
        }
    },
    {
        "name": "G^{18,48,54}_0",
        "name_utf8": "G¹⁸'⁴⁸'⁵⁴₀",
        "half_girth_type": [
            3,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b * a",
            "b * a^-1 * b * a^-1 * b * a^-1",
            "c * b * c * b * c^-1 * b^-1 * c^-1 * b^-1",
            "a * c * a^-1 * c^-1 * a^-1 * c * a * c^-1",
            "a * c * a^-1 * c * a * c * a^-1 * c * a * c * a^-1 * c"
        ],
        "order1": 18,
        "order2": 48,
        "order3": 54,
        "index": 0,
        "presentation_length": 49,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 3,
        "L2_quotients": [],
        "quotients": {
            "{}^2A_{2}(64)": 2,
            "A_{3}(3)": 8,
            "B_{2}(3)": 2,
            "Alt(10)": 2,
            "A_{2}(9)": 3,
            "Alt(11)": 4,
            "A_{2}(3)": 2
        },
        "alternating_quotients": [
            3,
            4,
            10,
            11,
            12,
            14,
            15,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "Alt(10)": 2,
            "A₃(3)": 8,
            "²A₂(64)": 2,
            "Alt(11)": 4,
            "A₂(9)": 3,
            "A₂(3)": 2,
            "B₂(3)": 2
        },
        "quotients_plain": {
            "B2(3)": 2,
            "A2(3)": 2,
            "2A2(64)": 2,
            "A3(3)": 8,
            "Alt(10)": 2,
            "A2(9)": 3,
            "Alt(11)": 4
        }
    },
    {
        "name": "G^{18,48,54}_2",
        "name_utf8": "G¹⁸'⁴⁸'⁵⁴₂",
        "half_girth_type": [
            3,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b * a",
            "b * a^-1 * b * a^-1 * b * a^-1",
            "c * b * c * b * c^-1 * b^-1 * c^-1 * b^-1",
            "c * a * c^-1 * a^-1 * c^-1 * a * c * a^-1",
            "c * a * c^-1 * a * c * a * c^-1 * a * c * a * c^-1 * a"
        ],
        "order1": 18,
        "order2": 48,
        "order3": 54,
        "index": 2,
        "presentation_length": 49,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 3,
        "L2_quotients": [],
        "quotients": {
            "Alt(9)": 2,
            "{}^2A_{2}(64)": 2,
            "A_{3}(3)": 1,
            "B_{2}(3)": 2,
            "Alt(10)": 1,
            "{}^2A_{3}(9)": 3,
            "Alt(11)": 1,
            "A_{2}(9)": 3,
            "A_{2}(3)": 2,
            "{}^2A_{4}(4)": 3
        },
        "alternating_quotients": [
            3,
            4,
            9,
            10,
            11,
            12,
            13,
            15,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "²A₄(4)": 3,
            "Alt(9)": 2,
            "²A₃(9)": 3,
            "Alt(10)": 1,
            "A₃(3)": 1,
            "²A₂(64)": 2,
            "Alt(11)": 1,
            "A₂(9)": 3,
            "A₂(3)": 2,
            "B₂(3)": 2
        },
        "quotients_plain": {
            "Alt(9)": 2,
            "B2(3)": 2,
            "A2(3)": 2,
            "2A2(64)": 2,
            "A3(3)": 1,
            "Alt(10)": 1,
            "A2(9)": 3,
            "Alt(11)": 1,
            "2A3(9)": 3,
            "2A4(4)": 3
        }
    },
    {
        "name": "G^{18,54,54}_0",
        "name_utf8": "G¹⁸'⁵⁴'⁵⁴₀",
        "half_girth_type": [
            3,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b * a",
            "b * a^-1 * b * a^-1 * b * a^-1",
            "c * b * c^-1 * b^-1 * c^-1 * b * c * b^-1",
            "c * b * c^-1 * b * c * b * c^-1 * b * c * b * c^-1 * b",
            "a * c * a^-1 * c^-1 * a^-1 * c * a * c^-1",
            "a * c * a^-1 * c * a * c * a^-1 * c * a * c * a^-1 * c"
        ],
        "order1": 18,
        "order2": 54,
        "order3": 54,
        "index": 0,
        "presentation_length": 61,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 3,
        "L2_quotients": [],
        "quotients": {
            "Alt(9)": 2,
            "A_{2}(9)": 3,
            "A_{2}(3)": 2,
            "{}^2A_{4}(4)": 2
        },
        "alternating_quotients": [
            3,
            9,
            19,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "²A₄(4)": 2,
            "Alt(9)": 2,
            "A₂(9)": 3,
            "A₂(3)": 2
        },
        "quotients_plain": {
            "Alt(9)": 2,
            "A2(9)": 3,
            "A2(3)": 2,
            "2A4(4)": 2
        }
    },
    {
        "name": "G^{18,54,54}_2",
        "name_utf8": "G¹⁸'⁵⁴'⁵⁴₂",
        "half_girth_type": [
            3,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b * a",
            "b * a^-1 * b * a^-1 * b * a^-1",
            "c * b * c^-1 * b^-1 * c^-1 * b * c * b^-1",
            "c * b * c^-1 * b * c * b * c^-1 * b * c * b * c^-1 * b",
            "c * a * c^-1 * a^-1 * c^-1 * a * c * a^-1",
            "c * a * c^-1 * a * c * a * c^-1 * a * c * a * c^-1 * a"
        ],
        "order1": 18,
        "order2": 54,
        "order3": 54,
        "index": 2,
        "presentation_length": 61,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 3,
        "L2_quotients": [],
        "quotients": {
            "Alt(9)": 10,
            "A_{3}(3)": 1,
            "B_{2}(3)": 2,
            "{}^2A_{3}(9)": 3,
            "A_{2}(9)": 3,
            "A_{2}(3)": 2,
            "{}^2A_{4}(4)": 9
        },
        "alternating_quotients": [
            3,
            9,
            12,
            15,
            18,
            19,
            21,
            22,
            24,
            25,
            26,
            27,
            28,
            29,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "²A₄(4)": 9,
            "Alt(9)": 10,
            "²A₃(9)": 3,
            "A₃(3)": 1,
            "A₂(9)": 3,
            "A₂(3)": 2,
            "B₂(3)": 2
        },
        "quotients_plain": {
            "Alt(9)": 10,
            "B2(3)": 2,
            "A2(3)": 2,
            "A3(3)": 1,
            "A2(9)": 3,
            "2A3(9)": 3,
            "2A4(4)": 9
        }
    },
    {
        "name": "G^{18,54,54}_8",
        "name_utf8": "G¹⁸'⁵⁴'⁵⁴₈",
        "half_girth_type": [
            3,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b * a",
            "b * a^-1 * b * a^-1 * b * a^-1",
            "b * c * b^-1 * c^-1 * b^-1 * c * b * c^-1",
            "b * c * b^-1 * c * b * c * b^-1 * c * b * c * b^-1 * c",
            "a * c * a^-1 * c^-1 * a^-1 * c * a * c^-1",
            "a * c * a^-1 * c * a * c * a^-1 * c * a * c * a^-1 * c"
        ],
        "order1": 18,
        "order2": 54,
        "order3": 54,
        "index": 8,
        "presentation_length": 61,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 3,
        "L2_quotients": [],
        "quotients": {
            "Alt(9)": 8,
            "A_{3}(3)": 10,
            "B_{2}(3)": 2,
            "A_{2}(9)": 3,
            "A_{2}(3)": 2,
            "{}^2A_{4}(4)": 4
        },
        "alternating_quotients": [
            3,
            9,
            12,
            18,
            19,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "²A₄(4)": 4,
            "Alt(9)": 8,
            "A₃(3)": 10,
            "A₂(9)": 3,
            "A₂(3)": 2,
            "B₂(3)": 2
        },
        "quotients_plain": {
            "Alt(9)": 8,
            "B2(3)": 2,
            "A2(3)": 2,
            "A3(3)": 10,
            "A2(9)": 3,
            "2A4(4)": 4
        }
    },
    {
        "name": "G^{24,40,40}_0",
        "name_utf8": "G²⁴'⁴⁰'⁴⁰₀",
        "half_girth_type": [
            3,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b * a",
            "b * a * b^-1 * a * b^-1 * a^-1 * b * a^-1",
            "c * b^-1 * c * b * c * b^-1 * c * b",
            "c^-1 * b^-1 * c * b^-1 * c^-1 * b^-1 * c * b^-1",
            "a * c^-1 * a * c * a * c^-1 * a * c",
            "a^-1 * c^-1 * a * c^-1 * a^-1 * c^-1 * a * c^-1"
        ],
        "order1": 24,
        "order2": 40,
        "order3": 40,
        "index": 0,
        "presentation_length": 55,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 0,
        "L2_quotients": [
            "L_2(inf^4)"
        ],
        "quotients": {
            "Alt(10)": 2,
            "C_{3}(2)": 2,
            "J_{2}": 2,
            "B_{2}(5)": 10,
            "Alt(7)": 2,
            "A_{4}(2)": 4,
            "B_{2}(3)": 2,
            "C_{2}(4)": 2,
            "Alt(11)": 3,
            "M_{22}": 2,
            "{}^2A_{4}(4)": 4
        },
        "alternating_quotients": [
            5,
            6,
            7,
            10,
            11,
            12,
            15,
            17,
            18,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [
            "L₂(inf⁴)"
        ],
        "quotients_utf8": {
            "C₂(4)": 2,
            "²A₄(4)": 4,
            "Alt(10)": 2,
            "B₂(5)": 10,
            "Alt(7)": 2,
            "B₂(3)": 2,
            "C₃(2)": 2,
            "M₂₂": 2,
            "A₄(2)": 4,
            "Alt(11)": 3,
            "J₂": 2
        },
        "quotients_plain": {
            "B2(5)": 10,
            "C2(4)": 2,
            "Alt(10)": 2,
            "A4(2)": 4,
            "C3(2)": 2,
            "Alt(7)": 2,
            "J2": 2,
            "B2(3)": 2,
            "Alt(11)": 3,
            "M22": 2,
            "2A4(4)": 4
        }
    },
    {
        "name": "G^{24,40,48}_0",
        "name_utf8": "G²⁴'⁴⁰'⁴⁸₀",
        "half_girth_type": [
            3,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b * a",
            "b * a * b^-1 * a * b^-1 * a^-1 * b * a^-1",
            "c * b^-1 * c * b * c * b^-1 * c * b",
            "c^-1 * b^-1 * c * b^-1 * c^-1 * b^-1 * c * b^-1",
            "a * c * a * c * a^-1 * c^-1 * a^-1 * c^-1"
        ],
        "order1": 24,
        "order2": 40,
        "order3": 48,
        "index": 0,
        "presentation_length": 47,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 1,
        "L2_quotients": [
            "L_2(3^2)",
            "L_2(3^2)"
        ],
        "quotients": {
            "C_{3}(2)": 3,
            "J_{2}": 4,
            "B_{2}(5)": 12,
            "Alt(7)": 2,
            "A_{3}(3)": 2,
            "A_{4}(2)": 5,
            "B_{2}(3)": 3,
            "C_{2}(4)": 4,
            "Alt(11)": 4,
            "M_{22}": 2,
            "{}^2A_{4}(4)": 1
        },
        "alternating_quotients": [
            3,
            5,
            6,
            7,
            11,
            12,
            13,
            15,
            16,
            17,
            18,
            19,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [
            "L₂(3²)",
            "L₂(3²)"
        ],
        "quotients_utf8": {
            "C₂(4)": 4,
            "²A₄(4)": 1,
            "B₂(5)": 12,
            "Alt(7)": 2,
            "B₂(3)": 3,
            "C₃(2)": 3,
            "M₂₂": 2,
            "A₃(3)": 2,
            "A₄(2)": 5,
            "Alt(11)": 4,
            "J₂": 4
        },
        "quotients_plain": {
            "A3(3)": 2,
            "B2(5)": 12,
            "C2(4)": 4,
            "A4(2)": 5,
            "C3(2)": 3,
            "Alt(7)": 2,
            "J2": 4,
            "B2(3)": 3,
            "Alt(11)": 4,
            "M22": 2,
            "2A4(4)": 1
        }
    },
    {
        "name": "G^{24,40,54}_0",
        "name_utf8": "G²⁴'⁴⁰'⁵⁴₀",
        "half_girth_type": [
            3,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b * a",
            "b * a * b^-1 * a * b^-1 * a^-1 * b * a^-1",
            "c * b^-1 * c * b * c * b^-1 * c * b",
            "c^-1 * b^-1 * c * b^-1 * c^-1 * b^-1 * c * b^-1",
            "a * c * a^-1 * c^-1 * a^-1 * c * a * c^-1",
            "a * c * a^-1 * c * a * c * a^-1 * c * a * c * a^-1 * c"
        ],
        "order1": 24,
        "order2": 40,
        "order3": 54,
        "index": 0,
        "presentation_length": 59,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 1,
        "L2_quotients": [
            "L_2(3^2)"
        ],
        "quotients": {
            "A_{3}(3)": 3,
            "B_{2}(3)": 4,
            "M_{12}": 6,
            "Alt(10)": 12,
            "{}^2A_{3}(9)": 2,
            "Alt(11)": 12,
            "{}^2A_{4}(4)": 4
        },
        "alternating_quotients": [
            3,
            5,
            6,
            10,
            11,
            12,
            15,
            16,
            17,
            18,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [
            "L₂(3²)"
        ],
        "quotients_utf8": {
            "²A₄(4)": 4,
            "²A₃(9)": 2,
            "M₁₂": 6,
            "Alt(10)": 12,
            "A₃(3)": 3,
            "Alt(11)": 12,
            "B₂(3)": 4
        },
        "quotients_plain": {
            "M12": 6,
            "B2(3)": 4,
            "A3(3)": 3,
            "Alt(10)": 12,
            "Alt(11)": 12,
            "2A3(9)": 2,
            "2A4(4)": 4
        }
    },
    {
        "name": "G^{24,40,54}_2",
        "name_utf8": "G²⁴'⁴⁰'⁵⁴₂",
        "half_girth_type": [
            3,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b * a",
            "b * a * b^-1 * a * b^-1 * a^-1 * b * a^-1",
            "c * b^-1 * c * b * c * b^-1 * c * b",
            "c^-1 * b^-1 * c * b^-1 * c^-1 * b^-1 * c * b^-1",
            "c * a * c^-1 * a^-1 * c^-1 * a * c * a^-1",
            "c * a * c^-1 * a * c * a * c^-1 * a * c * a * c^-1 * a"
        ],
        "order1": 24,
        "order2": 40,
        "order3": 54,
        "index": 2,
        "presentation_length": 59,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 1,
        "L2_quotients": [
            "L_2(3^2)"
        ],
        "quotients": {
            "Alt(9)": 2,
            "A_{3}(3)": 7,
            "B_{2}(3)": 2,
            "M_{12}": 6,
            "C_{3}(2)": 4,
            "Alt(10)": 7,
            "{}^2A_{3}(9)": 6,
            "Alt(11)": 6,
            "{}^2A_{4}(4)": 1
        },
        "alternating_quotients": [
            3,
            5,
            6,
            9,
            10,
            11,
            12,
            13,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [
            "L₂(3²)"
        ],
        "quotients_utf8": {
            "²A₄(4)": 1,
            "C₃(2)": 4,
            "Alt(9)": 2,
            "²A₃(9)": 6,
            "M₁₂": 6,
            "Alt(10)": 7,
            "A₃(3)": 7,
            "Alt(11)": 6,
            "B₂(3)": 2
        },
        "quotients_plain": {
            "M12": 6,
            "B2(3)": 2,
            "Alt(9)": 2,
            "A3(3)": 7,
            "Alt(10)": 7,
            "Alt(11)": 6,
            "C3(2)": 4,
            "2A3(9)": 6,
            "2A4(4)": 1
        }
    },
    {
        "name": "G^{24,48,48}_0",
        "name_utf8": "G²⁴'⁴⁸'⁴⁸₀",
        "half_girth_type": [
            3,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b * a",
            "b * a * b^-1 * a * b^-1 * a^-1 * b * a^-1",
            "c * b * c * b * c^-1 * b^-1 * c^-1 * b^-1",
            "a * c * a * c * a^-1 * c^-1 * a^-1 * c^-1"
        ],
        "order1": 24,
        "order2": 48,
        "order3": 48,
        "index": 0,
        "presentation_length": 39,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 3,
        "L2_quotients": [],
        "quotients": {
            "HS": 2,
            "Alt(10)": 1,
            "M_{12}": 1,
            "Alt(8) or A_{2}(4)": 4,
            "J_{2}": 2,
            "C_{3}(2)": 11,
            "Alt(7)": 3,
            "B_{2}(5)": 7,
            "A_{3}(3)": 1,
            "A_{4}(2)": 2,
            "B_{2}(3)": 3,
            "{}^2A_{2}(25)": 2,
            "{}^2A_{3}(9)": 3,
            "Alt(11)": 1,
            "A_{2}(7)": 1,
            "{}^2A_{4}(4)": 13
        },
        "alternating_quotients": [
            3,
            4,
            7,
            8,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "²A₄(4)": 13,
            "²A₂(25)": 2,
            "²A₃(9)": 3,
            "HS": 2,
            "M₁₂": 1,
            "Alt(10)": 1,
            "B₂(5)": 7,
            "Alt(7)": 3,
            "B₂(3)": 3,
            "A₂(7)": 1,
            "C₃(2)": 11,
            "Alt(8) or A₂(4)": 4,
            "A₃(3)": 1,
            "A₄(2)": 2,
            "Alt(11)": 1,
            "J₂": 2
        },
        "quotients_plain": {
            "2A2(25)": 2,
            "A3(3)": 1,
            "HS": 2,
            "B2(5)": 7,
            "Alt(10)": 1,
            "A4(2)": 2,
            "C3(2)": 11,
            "Alt(7)": 3,
            "J2": 2,
            "Alt(8) or A2(4)": 4,
            "M12": 1,
            "B2(3)": 3,
            "A2(7)": 1,
            "Alt(11)": 1,
            "2A3(9)": 3,
            "2A4(4)": 13
        }
    },
    {
        "name": "G^{24,48,48}_1",
        "name_utf8": "G²⁴'⁴⁸'⁴⁸₁",
        "half_girth_type": [
            3,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b * a",
            "b * a * b^-1 * a * b^-1 * a^-1 * b * a^-1",
            "c * b * c * b * c^-1 * b^-1 * c^-1 * b^-1",
            "a * c^-1 * a * c^-1 * a^-1 * c * a^-1 * c"
        ],
        "order1": 24,
        "order2": 48,
        "order3": 48,
        "index": 1,
        "presentation_length": 39,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 3,
        "L2_quotients": [],
        "quotients": {
            "Alt(9)": 1,
            "HS": 1,
            "A_{3}(3)": 3,
            "B_{2}(3)": 4,
            "{}^2A_{3}(9)": 8,
            "C_{3}(2)": 17,
            "B_{2}(5)": 5,
            "Alt(11)": 1,
            "M_{22}": 1,
            "{}^2A_{4}(4)": 8
        },
        "alternating_quotients": [
            3,
            4,
            5,
            9,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "²A₄(4)": 8,
            "C₃(2)": 17,
            "Alt(9)": 1,
            "²A₃(9)": 8,
            "HS": 1,
            "B₂(5)": 5,
            "M₂₂": 1,
            "A₃(3)": 3,
            "Alt(11)": 1,
            "B₂(3)": 4
        },
        "quotients_plain": {
            "Alt(9)": 1,
            "B2(3)": 4,
            "A3(3)": 3,
            "HS": 1,
            "B2(5)": 5,
            "Alt(11)": 1,
            "C3(2)": 17,
            "2A3(9)": 8,
            "M22": 1,
            "2A4(4)": 8
        }
    },
    {
        "name": "G^{24,48,54}_0",
        "name_utf8": "G²⁴'⁴⁸'⁵⁴₀",
        "half_girth_type": [
            3,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b * a",
            "b * a * b^-1 * a * b^-1 * a^-1 * b * a^-1",
            "c * b * c * b * c^-1 * b^-1 * c^-1 * b^-1",
            "a * c * a^-1 * c^-1 * a^-1 * c * a * c^-1",
            "a * c * a^-1 * c * a * c * a^-1 * c * a * c * a^-1 * c"
        ],
        "order1": 24,
        "order2": 48,
        "order3": 54,
        "index": 0,
        "presentation_length": 51,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 3,
        "L2_quotients": [],
        "quotients": {
            "Alt(9)": 3,
            "A_{3}(3)": 2,
            "B_{2}(3)": 4,
            "Alt(10)": 5,
            "{}^2A_{3}(9)": 1,
            "Alt(11)": 4,
            "{}^2A_{4}(4)": 3
        },
        "alternating_quotients": [
            3,
            4,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "²A₄(4)": 3,
            "Alt(9)": 3,
            "²A₃(9)": 1,
            "Alt(10)": 5,
            "A₃(3)": 2,
            "Alt(11)": 4,
            "B₂(3)": 4
        },
        "quotients_plain": {
            "Alt(9)": 3,
            "B2(3)": 4,
            "A3(3)": 2,
            "Alt(10)": 5,
            "Alt(11)": 4,
            "2A3(9)": 1,
            "2A4(4)": 3
        }
    },
    {
        "name": "G^{24,48,54}_2",
        "name_utf8": "G²⁴'⁴⁸'⁵⁴₂",
        "half_girth_type": [
            3,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b * a",
            "b * a * b^-1 * a * b^-1 * a^-1 * b * a^-1",
            "c * b * c * b * c^-1 * b^-1 * c^-1 * b^-1",
            "c * a * c^-1 * a^-1 * c^-1 * a * c * a^-1",
            "c * a * c^-1 * a * c * a * c^-1 * a * c * a * c^-1 * a"
        ],
        "order1": 24,
        "order2": 48,
        "order3": 54,
        "index": 2,
        "presentation_length": 51,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 3,
        "L2_quotients": [],
        "quotients": {
            "Alt(9)": 3,
            "A_{3}(3)": 10,
            "B_{2}(3)": 2,
            "Alt(10)": 5,
            "C_{3}(2)": 3,
            "{}^2A_{3}(9)": 5,
            "Alt(11)": 2,
            "{}^2A_{4}(4)": 12
        },
        "alternating_quotients": [
            3,
            4,
            9,
            10,
            11,
            12,
            13,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "²A₄(4)": 12,
            "C₃(2)": 3,
            "Alt(9)": 3,
            "²A₃(9)": 5,
            "Alt(10)": 5,
            "A₃(3)": 10,
            "Alt(11)": 2,
            "B₂(3)": 2
        },
        "quotients_plain": {
            "Alt(9)": 3,
            "B2(3)": 2,
            "A3(3)": 10,
            "Alt(10)": 5,
            "Alt(11)": 2,
            "C3(2)": 3,
            "2A3(9)": 5,
            "2A4(4)": 12
        }
    },
    {
        "name": "G^{24,54,54}_0",
        "name_utf8": "G²⁴'⁵⁴'⁵⁴₀",
        "half_girth_type": [
            3,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b * a",
            "b * a * b^-1 * a * b^-1 * a^-1 * b * a^-1",
            "c * b * c^-1 * b^-1 * c^-1 * b * c * b^-1",
            "c * b * c^-1 * b * c * b * c^-1 * b * c * b * c^-1 * b",
            "a * c * a^-1 * c^-1 * a^-1 * c * a * c^-1",
            "a * c * a^-1 * c * a * c * a^-1 * c * a * c * a^-1 * c"
        ],
        "order1": 24,
        "order2": 54,
        "order3": 54,
        "index": 0,
        "presentation_length": 63,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 3,
        "L2_quotients": [],
        "quotients": {
            "Alt(9)": 6,
            "A_{3}(3)": 4,
            "Alt(10)": 2,
            "Alt(11)": 2,
            "{}^2A_{4}(4)": 8
        },
        "alternating_quotients": [
            3,
            4,
            9,
            10,
            11,
            12,
            15,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "²A₄(4)": 8,
            "Alt(9)": 6,
            "Alt(10)": 2,
            "A₃(3)": 4,
            "Alt(11)": 2
        },
        "quotients_plain": {
            "Alt(9)": 6,
            "A3(3)": 4,
            "Alt(10)": 2,
            "Alt(11)": 2,
            "2A4(4)": 8
        }
    },
    {
        "name": "G^{24,54,54}_2",
        "name_utf8": "G²⁴'⁵⁴'⁵⁴₂",
        "half_girth_type": [
            3,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b * a",
            "b * a * b^-1 * a * b^-1 * a^-1 * b * a^-1",
            "c * b * c^-1 * b^-1 * c^-1 * b * c * b^-1",
            "c * b * c^-1 * b * c * b * c^-1 * b * c * b * c^-1 * b",
            "c * a * c^-1 * a^-1 * c^-1 * a * c * a^-1",
            "c * a * c^-1 * a * c * a * c^-1 * a * c * a * c^-1 * a"
        ],
        "order1": 24,
        "order2": 54,
        "order3": 54,
        "index": 2,
        "presentation_length": 63,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 3,
        "L2_quotients": [],
        "quotients": {
            "Alt(9)": 9,
            "A_{3}(3)": 26,
            "B_{2}(3)": 2,
            "Alt(10)": 22,
            "C_{3}(2)": 6,
            "{}^2A_{3}(9)": 8,
            "Alt(11)": 12,
            "{}^2A_{4}(4)": 12
        },
        "alternating_quotients": [
            3,
            4,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "²A₄(4)": 12,
            "C₃(2)": 6,
            "Alt(9)": 9,
            "²A₃(9)": 8,
            "Alt(10)": 22,
            "A₃(3)": 26,
            "Alt(11)": 12,
            "B₂(3)": 2
        },
        "quotients_plain": {
            "Alt(9)": 9,
            "B2(3)": 2,
            "A3(3)": 26,
            "Alt(10)": 22,
            "Alt(11)": 12,
            "C3(2)": 6,
            "2A3(9)": 8,
            "2A4(4)": 12
        }
    },
    {
        "name": "G^{24,54,54}_8",
        "name_utf8": "G²⁴'⁵⁴'⁵⁴₈",
        "half_girth_type": [
            3,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b * a",
            "b * a * b^-1 * a * b^-1 * a^-1 * b * a^-1",
            "b * c * b^-1 * c^-1 * b^-1 * c * b * c^-1",
            "b * c * b^-1 * c * b * c * b^-1 * c * b * c * b^-1 * c",
            "a * c * a^-1 * c^-1 * a^-1 * c * a * c^-1",
            "a * c * a^-1 * c * a * c * a^-1 * c * a * c * a^-1 * c"
        ],
        "order1": 24,
        "order2": 54,
        "order3": 54,
        "index": 8,
        "presentation_length": 63,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 3,
        "L2_quotients": [],
        "quotients": {
            "Alt(9)": 14,
            "B_{2}(3)": 4,
            "Alt(10)": 1,
            "Alt(11)": 1,
            "{}^2A_{4}(4)": 9
        },
        "alternating_quotients": [
            3,
            4,
            9,
            10,
            11,
            12,
            15,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "²A₄(4)": 9,
            "Alt(9)": 14,
            "Alt(10)": 1,
            "Alt(11)": 1,
            "B₂(3)": 4
        },
        "quotients_plain": {
            "Alt(9)": 14,
            "B2(3)": 4,
            "Alt(10)": 1,
            "Alt(11)": 1,
            "2A4(4)": 9
        }
    },
    {
        "name": "G^{26,40,40}_0",
        "name_utf8": "G²⁶'⁴⁰'⁴⁰₀",
        "half_girth_type": [
            3,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b * a",
            "b * a * b^-1 * a * b^-1 * a * b^-1 * a^-1",
            "c * b^-1 * c * b * c * b^-1 * c * b",
            "c^-1 * b^-1 * c * b^-1 * c^-1 * b^-1 * c * b^-1",
            "a * c^-1 * a * c * a * c^-1 * a * c",
            "a^-1 * c^-1 * a * c^-1 * a^-1 * c^-1 * a * c^-1"
        ],
        "order1": 26,
        "order2": 40,
        "order3": 40,
        "index": 0,
        "presentation_length": 55,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 0,
        "L2_quotients": [
            "L_2(13^2)"
        ],
        "quotients": {
            "A_{3}(3)": 3
        },
        "alternating_quotients": [
            5,
            20,
            21,
            27,
            28
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [
            "L₂(13²)"
        ],
        "quotients_utf8": {
            "A₃(3)": 3
        },
        "quotients_plain": {
            "A3(3)": 3
        }
    },
    {
        "name": "G^{26,40,48}_0",
        "name_utf8": "G²⁶'⁴⁰'⁴⁸₀",
        "half_girth_type": [
            3,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b * a",
            "b * a * b^-1 * a * b^-1 * a * b^-1 * a^-1",
            "c * b^-1 * c * b * c * b^-1 * c * b",
            "c^-1 * b^-1 * c * b^-1 * c^-1 * b^-1 * c * b^-1",
            "a * c * a * c * a^-1 * c^-1 * a^-1 * c^-1"
        ],
        "order1": 26,
        "order2": 40,
        "order3": 48,
        "index": 0,
        "presentation_length": 47,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 0,
        "L2_quotients": [
            "L_2(13^2)"
        ],
        "quotients": {
            "{}^2F_4(2)'": 1
        },
        "alternating_quotients": [],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [
            "L₂(13²)"
        ],
        "quotients_utf8": {
            "²F₄(2)'": 1
        },
        "quotients_plain": {
            "2F_4(2)'": 1
        }
    },
    {
        "name": "G^{26,40,54}_0",
        "name_utf8": "G²⁶'⁴⁰'⁵⁴₀",
        "half_girth_type": [
            3,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b * a",
            "b * a * b^-1 * a * b^-1 * a * b^-1 * a^-1",
            "c * b^-1 * c * b * c * b^-1 * c * b",
            "c^-1 * b^-1 * c * b^-1 * c^-1 * b^-1 * c * b^-1",
            "a * c * a^-1 * c^-1 * a^-1 * c * a * c^-1",
            "a * c * a^-1 * c * a * c * a^-1 * c * a * c * a^-1 * c"
        ],
        "order1": 26,
        "order2": 40,
        "order3": 54,
        "index": 0,
        "presentation_length": 59,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 0,
        "L2_quotients": [],
        "quotients": {
            "A_{3}(3)": 3
        },
        "alternating_quotients": [
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "A₃(3)": 3
        },
        "quotients_plain": {
            "A3(3)": 3
        }
    },
    {
        "name": "G^{26,40,54}_2",
        "name_utf8": "G²⁶'⁴⁰'⁵⁴₂",
        "half_girth_type": [
            3,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b * a",
            "b * a * b^-1 * a * b^-1 * a * b^-1 * a^-1",
            "c * b^-1 * c * b * c * b^-1 * c * b",
            "c^-1 * b^-1 * c * b^-1 * c^-1 * b^-1 * c * b^-1",
            "c * a * c^-1 * a^-1 * c^-1 * a * c * a^-1",
            "c * a * c^-1 * a * c * a * c^-1 * a * c * a * c^-1 * a"
        ],
        "order1": 26,
        "order2": 40,
        "order3": 54,
        "index": 2,
        "presentation_length": 59,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 0,
        "L2_quotients": [],
        "quotients": {},
        "alternating_quotients": [
            15
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {},
        "quotients_plain": {}
    },
    {
        "name": "G^{26,48,48}_0",
        "name_utf8": "G²⁶'⁴⁸'⁴⁸₀",
        "half_girth_type": [
            3,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b * a",
            "b * a * b^-1 * a * b^-1 * a * b^-1 * a^-1",
            "c * b * c * b * c^-1 * b^-1 * c^-1 * b^-1",
            "a * c * a * c * a^-1 * c^-1 * a^-1 * c^-1"
        ],
        "order1": 26,
        "order2": 48,
        "order3": 48,
        "index": 0,
        "presentation_length": 39,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 2,
        "L2_quotients": [],
        "quotients": {
            "G_{2}(3)": 1
        },
        "alternating_quotients": [
            3,
            4,
            14,
            28
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "G₂(3)": 1
        },
        "quotients_plain": {
            "G2(3)": 1
        }
    },
    {
        "name": "G^{26,48,48}_1",
        "name_utf8": "G²⁶'⁴⁸'⁴⁸₁",
        "half_girth_type": [
            3,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b * a",
            "b * a * b^-1 * a * b^-1 * a * b^-1 * a^-1",
            "c * b * c * b * c^-1 * b^-1 * c^-1 * b^-1",
            "a * c^-1 * a * c^-1 * a^-1 * c * a^-1 * c"
        ],
        "order1": 26,
        "order2": 48,
        "order3": 48,
        "index": 1,
        "presentation_length": 39,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 2,
        "L2_quotients": [
            "L_2(13)"
        ],
        "quotients": {
            "A_{3}(3)": 1,
            "G_{2}(3)": 4
        },
        "alternating_quotients": [
            3,
            13,
            14,
            15,
            16,
            26,
            27,
            28,
            29,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [
            "L₂(13)"
        ],
        "quotients_utf8": {
            "A₃(3)": 1,
            "G₂(3)": 4
        },
        "quotients_plain": {
            "A3(3)": 1,
            "G2(3)": 4
        }
    },
    {
        "name": "G^{26,48,54}_0",
        "name_utf8": "G²⁶'⁴⁸'⁵⁴₀",
        "half_girth_type": [
            3,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b * a",
            "b * a * b^-1 * a * b^-1 * a * b^-1 * a^-1",
            "c * b * c * b * c^-1 * b^-1 * c^-1 * b^-1",
            "a * c * a^-1 * c^-1 * a^-1 * c * a * c^-1",
            "a * c * a^-1 * c * a * c * a^-1 * c * a * c * a^-1 * c"
        ],
        "order1": 26,
        "order2": 48,
        "order3": 54,
        "index": 0,
        "presentation_length": 51,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 2,
        "L2_quotients": [],
        "quotients": {
            "G_{2}(3)": 1
        },
        "alternating_quotients": [
            3,
            13,
            26,
            27,
            28
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "G₂(3)": 1
        },
        "quotients_plain": {
            "G2(3)": 1
        }
    },
    {
        "name": "G^{26,48,54}_2",
        "name_utf8": "G²⁶'⁴⁸'⁵⁴₂",
        "half_girth_type": [
            3,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b * a",
            "b * a * b^-1 * a * b^-1 * a * b^-1 * a^-1",
            "c * b * c * b * c^-1 * b^-1 * c^-1 * b^-1",
            "c * a * c^-1 * a^-1 * c^-1 * a * c * a^-1",
            "c * a * c^-1 * a * c * a * c^-1 * a * c * a * c^-1 * a"
        ],
        "order1": 26,
        "order2": 48,
        "order3": 54,
        "index": 2,
        "presentation_length": 51,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 2,
        "L2_quotients": [],
        "quotients": {
            "A_{3}(3)": 1,
            "G_{2}(3)": 1
        },
        "alternating_quotients": [
            3,
            13,
            26,
            27,
            28,
            29
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "A₃(3)": 1,
            "G₂(3)": 1
        },
        "quotients_plain": {
            "A3(3)": 1,
            "G2(3)": 1
        }
    },
    {
        "name": "G^{26,54,54}_0",
        "name_utf8": "G²⁶'⁵⁴'⁵⁴₀",
        "half_girth_type": [
            3,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b * a",
            "b * a * b^-1 * a * b^-1 * a * b^-1 * a^-1",
            "c * b * c^-1 * b^-1 * c^-1 * b * c * b^-1",
            "c * b * c^-1 * b * c * b * c^-1 * b * c * b * c^-1 * b",
            "a * c * a^-1 * c^-1 * a^-1 * c * a * c^-1",
            "a * c * a^-1 * c * a * c * a^-1 * c * a * c * a^-1 * c"
        ],
        "order1": 26,
        "order2": 54,
        "order3": 54,
        "index": 0,
        "presentation_length": 63,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 2,
        "L2_quotients": [],
        "quotients": {
            "A_{2}(9)": 3,
            "A_{2}(3)": 2
        },
        "alternating_quotients": [
            3,
            13,
            26,
            27,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "A₂(9)": 3,
            "A₂(3)": 2
        },
        "quotients_plain": {
            "A2(9)": 3,
            "A2(3)": 2
        }
    },
    {
        "name": "G^{26,54,54}_2",
        "name_utf8": "G²⁶'⁵⁴'⁵⁴₂",
        "half_girth_type": [
            3,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b * a",
            "b * a * b^-1 * a * b^-1 * a * b^-1 * a^-1",
            "c * b * c^-1 * b^-1 * c^-1 * b * c * b^-1",
            "c * b * c^-1 * b * c * b * c^-1 * b * c * b * c^-1 * b",
            "c * a * c^-1 * a^-1 * c^-1 * a * c * a^-1",
            "c * a * c^-1 * a * c * a * c^-1 * a * c * a * c^-1 * a"
        ],
        "order1": 26,
        "order2": 54,
        "order3": 54,
        "index": 2,
        "presentation_length": 63,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 2,
        "L2_quotients": [],
        "quotients": {
            "A_{3}(3)": 20,
            "A_{2}(9)": 3,
            "A_{2}(3)": 2
        },
        "alternating_quotients": [
            3,
            13,
            16,
            19,
            22,
            25,
            26,
            27,
            28,
            29,
            30
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "A₃(3)": 20,
            "A₂(9)": 3,
            "A₂(3)": 2
        },
        "quotients_plain": {
            "A2(9)": 3,
            "A2(3)": 2,
            "A3(3)": 20
        }
    },
    {
        "name": "G^{26,54,54}_8",
        "name_utf8": "G²⁶'⁵⁴'⁵⁴₈",
        "half_girth_type": [
            3,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b * a",
            "b * a * b^-1 * a * b^-1 * a * b^-1 * a^-1",
            "b * c * b^-1 * c^-1 * b^-1 * c * b * c^-1",
            "b * c * b^-1 * c * b * c * b^-1 * c * b * c * b^-1 * c",
            "a * c * a^-1 * c^-1 * a^-1 * c * a * c^-1",
            "a * c * a^-1 * c * a * c * a^-1 * c * a * c * a^-1 * c"
        ],
        "order1": 26,
        "order2": 54,
        "order3": 54,
        "index": 8,
        "presentation_length": 63,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": null,
        "abelianization_dimension": 2,
        "L2_quotients": [],
        "quotients": {
            "A_{3}(3)": 6,
            "A_{2}(9)": 3,
            "A_{2}(3)": 2
        },
        "alternating_quotients": [
            3,
            13
        ],
        "maximal_degree_alternating_quotients": 30,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "A₃(3)": 6,
            "A₂(9)": 3,
            "A₂(3)": 2
        },
        "quotients_plain": {
            "A2(9)": 3,
            "A2(3)": 2,
            "A3(3)": 6
        }
    },
    {
        "name": "G^{40,40,40}_0",
        "name_utf8": "G⁴⁰'⁴⁰'⁴⁰₀",
        "half_girth_type": [
            4,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a^-1 * b * a * b * a^-1 * b * a",
            "b^-1 * a^-1 * b * a^-1 * b^-1 * a^-1 * b * a^-1",
            "c * b^-1 * c * b * c * b^-1 * c * b",
            "c^-1 * b^-1 * c * b^-1 * c^-1 * b^-1 * c * b^-1",
            "a * c^-1 * a * c * a * c^-1 * a * c",
            "a^-1 * c^-1 * a * c^-1 * a^-1 * c^-1 * a * c^-1"
        ],
        "order1": 40,
        "order2": 40,
        "order3": 40,
        "index": 0,
        "presentation_length": 57,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 0,
        "L2_quotients": [
            "L_2(inf^4)",
            "L_2(inf^4)",
            "L_2(inf^4)",
            "L_2(inf^4)"
        ],
        "quotients": {
            "HS": 12,
            "J_{1}": 4,
            "Alt(10)": 15,
            "M_{12}": 7,
            "J_{2}": 8,
            "B_{2}(5)": 90,
            "Alt(7)": 1,
            "A_{3}(3)": 7,
            "B_{2}(3)": 18,
            "{}^2A_{2}(25)": 2,
            "{}^2A_{3}(9)": 12,
            "C_{2}(4)": 21,
            "A_{2}(5)": 2
        },
        "alternating_quotients": [
            6,
            7,
            10,
            12,
            15,
            16,
            17,
            18,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40
        ],
        "maximal_degree_alternating_quotients": 40,
        "L2_quotients_utf8": [
            "L₂(inf⁴)",
            "L₂(inf⁴)",
            "L₂(inf⁴)",
            "L₂(inf⁴)"
        ],
        "quotients_utf8": {
            "C₂(4)": 21,
            "²A₂(25)": 2,
            "J₁": 4,
            "²A₃(9)": 12,
            "HS": 12,
            "M₁₂": 7,
            "Alt(10)": 15,
            "B₂(5)": 90,
            "Alt(7)": 1,
            "A₂(5)": 2,
            "B₂(3)": 18,
            "A₃(3)": 7,
            "J₂": 8
        },
        "quotients_plain": {
            "2A2(25)": 2,
            "A3(3)": 7,
            "HS": 12,
            "B2(5)": 90,
            "C2(4)": 21,
            "Alt(10)": 15,
            "Alt(7)": 1,
            "J2": 8,
            "J1": 4,
            "M12": 7,
            "B2(3)": 18,
            "A2(5)": 2,
            "2A3(9)": 12
        }
    },
    {
        "name": "G^{40,40,48}_0",
        "name_utf8": "G⁴⁰'⁴⁰'⁴⁸₀",
        "half_girth_type": [
            4,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a^-1 * b * a * b * a^-1 * b * a",
            "b^-1 * a^-1 * b * a^-1 * b^-1 * a^-1 * b * a^-1",
            "c * b^-1 * c * b * c * b^-1 * c * b",
            "c^-1 * b^-1 * c * b^-1 * c^-1 * b^-1 * c * b^-1",
            "a * c * a * c * a^-1 * c^-1 * a^-1 * c^-1"
        ],
        "order1": 40,
        "order2": 40,
        "order3": 48,
        "index": 0,
        "presentation_length": 49,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 0,
        "L2_quotients": [
            "L_2(inf^4)"
        ],
        "quotients": {
            "Alt(10)": 4,
            "C_{3}(2)": 2,
            "J_{2}": 4,
            "B_{2}(5)": 16,
            "Alt(7)": 2,
            "M_{11}": 4,
            "A_{3}(3)": 2,
            "A_{4}(2)": 4,
            "B_{2}(3)": 8,
            "{}^2A_{2}(25)": 1,
            "{}^2A_{3}(9)": 4,
            "C_{2}(4)": 2,
            "Alt(11)": 7,
            "M_{22}": 2,
            "{}^2A_{4}(4)": 10
        },
        "alternating_quotients": [
            5,
            6,
            7,
            10,
            11,
            12,
            15,
            16,
            17,
            18,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40
        ],
        "maximal_degree_alternating_quotients": 40,
        "L2_quotients_utf8": [
            "L₂(inf⁴)"
        ],
        "quotients_utf8": {
            "C₂(4)": 2,
            "²A₂(25)": 1,
            "²A₄(4)": 10,
            "²A₃(9)": 4,
            "Alt(10)": 4,
            "B₂(5)": 16,
            "Alt(7)": 2,
            "B₂(3)": 8,
            "C₃(2)": 2,
            "M₂₂": 2,
            "A₃(3)": 2,
            "A₄(2)": 4,
            "Alt(11)": 7,
            "J₂": 4,
            "M₁₁": 4
        },
        "quotients_plain": {
            "2A2(25)": 1,
            "A3(3)": 2,
            "B2(5)": 16,
            "C2(4)": 2,
            "M11": 4,
            "Alt(10)": 4,
            "A4(2)": 4,
            "C3(2)": 2,
            "Alt(7)": 2,
            "J2": 4,
            "B2(3)": 8,
            "Alt(11)": 7,
            "2A3(9)": 4,
            "M22": 2,
            "2A4(4)": 10
        }
    },
    {
        "name": "G^{40,40,54}_0",
        "name_utf8": "G⁴⁰'⁴⁰'⁵⁴₀",
        "half_girth_type": [
            4,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a^-1 * b * a * b * a^-1 * b * a",
            "b^-1 * a^-1 * b * a^-1 * b^-1 * a^-1 * b * a^-1",
            "c * b^-1 * c * b * c * b^-1 * c * b",
            "c^-1 * b^-1 * c * b^-1 * c^-1 * b^-1 * c * b^-1",
            "a * c * a^-1 * c^-1 * a^-1 * c * a * c^-1",
            "a * c * a^-1 * c * a * c * a^-1 * c * a * c * a^-1 * c"
        ],
        "order1": 40,
        "order2": 40,
        "order3": 54,
        "index": 0,
        "presentation_length": 61,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 0,
        "L2_quotients": [],
        "quotients": {
            "A_{3}(3)": 4,
            "B_{2}(3)": 5,
            "M_{12}": 2,
            "Alt(10)": 8,
            "{}^2A_{3}(9)": 15,
            "Alt(7)": 2,
            "{}^2A_{4}(4)": 7
        },
        "alternating_quotients": [
            5,
            7,
            10,
            15,
            16,
            17,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40
        ],
        "maximal_degree_alternating_quotients": 40,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "²A₄(4)": 7,
            "²A₃(9)": 15,
            "M₁₂": 2,
            "Alt(10)": 8,
            "A₃(3)": 4,
            "Alt(7)": 2,
            "B₂(3)": 5
        },
        "quotients_plain": {
            "M12": 2,
            "B2(3)": 5,
            "A3(3)": 4,
            "Alt(10)": 8,
            "Alt(7)": 2,
            "2A3(9)": 15,
            "2A4(4)": 7
        }
    },
    {
        "name": "G^{40,48,48}_0",
        "name_utf8": "G⁴⁰'⁴⁸'⁴⁸₀",
        "half_girth_type": [
            4,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a^-1 * b * a * b * a^-1 * b * a",
            "b^-1 * a^-1 * b * a^-1 * b^-1 * a^-1 * b * a^-1",
            "c * b * c * b * c^-1 * b^-1 * c^-1 * b^-1",
            "a * c * a * c * a^-1 * c^-1 * a^-1 * c^-1"
        ],
        "order1": 40,
        "order2": 48,
        "order3": 48,
        "index": 0,
        "presentation_length": 41,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 1,
        "L2_quotients": [
            "L_2(3^2)",
            "L_2(3^2)"
        ],
        "quotients": {
            "C_{3}(2)": 6,
            "J_{2}": 6,
            "B_{2}(5)": 20,
            "Alt(7)": 2,
            "M_{11}": 1,
            "A_{3}(3)": 15,
            "A_{4}(2)": 8,
            "B_{2}(3)": 18,
            "{}^2A_{3}(9)": 10,
            "C_{2}(4)": 4,
            "Alt(11)": 9,
            "M_{22}": 2,
            "{}^2A_{4}(4)": 15
        },
        "alternating_quotients": [
            3,
            5,
            6,
            7,
            11,
            12,
            13,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40
        ],
        "maximal_degree_alternating_quotients": 40,
        "L2_quotients_utf8": [
            "L₂(3²)",
            "L₂(3²)"
        ],
        "quotients_utf8": {
            "C₂(4)": 4,
            "²A₄(4)": 15,
            "²A₃(9)": 10,
            "B₂(5)": 20,
            "Alt(7)": 2,
            "B₂(3)": 18,
            "C₃(2)": 6,
            "M₂₂": 2,
            "A₃(3)": 15,
            "A₄(2)": 8,
            "Alt(11)": 9,
            "J₂": 6,
            "M₁₁": 1
        },
        "quotients_plain": {
            "A3(3)": 15,
            "B2(5)": 20,
            "C2(4)": 4,
            "M11": 1,
            "A4(2)": 8,
            "C3(2)": 6,
            "Alt(7)": 2,
            "J2": 6,
            "B2(3)": 18,
            "Alt(11)": 9,
            "2A3(9)": 10,
            "M22": 2,
            "2A4(4)": 15
        }
    },
    {
        "name": "G^{40,48,54}_0",
        "name_utf8": "G⁴⁰'⁴⁸'⁵⁴₀",
        "half_girth_type": [
            4,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a^-1 * b * a * b * a^-1 * b * a",
            "b^-1 * a^-1 * b * a^-1 * b^-1 * a^-1 * b * a^-1",
            "c * b * c * b * c^-1 * b^-1 * c^-1 * b^-1",
            "a * c * a^-1 * c^-1 * a^-1 * c * a * c^-1",
            "a * c * a^-1 * c * a * c * a^-1 * c * a * c * a^-1 * c"
        ],
        "order1": 40,
        "order2": 48,
        "order3": 54,
        "index": 0,
        "presentation_length": 53,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 1,
        "L2_quotients": [
            "L_2(3^2)"
        ],
        "quotients": {
            "Alt(9)": 2,
            "A_{3}(3)": 16,
            "B_{2}(3)": 11,
            "M_{12}": 7,
            "C_{3}(2)": 4,
            "Alt(10)": 7,
            "{}^2A_{3}(9)": 14,
            "Alt(11)": 7,
            "{}^2A_{4}(4)": 3
        },
        "alternating_quotients": [
            3,
            5,
            6,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40
        ],
        "maximal_degree_alternating_quotients": 40,
        "L2_quotients_utf8": [
            "L₂(3²)"
        ],
        "quotients_utf8": {
            "²A₄(4)": 3,
            "C₃(2)": 4,
            "Alt(9)": 2,
            "²A₃(9)": 14,
            "M₁₂": 7,
            "Alt(10)": 7,
            "A₃(3)": 16,
            "Alt(11)": 7,
            "B₂(3)": 11
        },
        "quotients_plain": {
            "M12": 7,
            "B2(3)": 11,
            "Alt(9)": 2,
            "A3(3)": 16,
            "Alt(10)": 7,
            "Alt(11)": 7,
            "C3(2)": 4,
            "2A3(9)": 14,
            "2A4(4)": 3
        }
    },
    {
        "name": "G^{40,48,54}_2",
        "name_utf8": "G⁴⁰'⁴⁸'⁵⁴₂",
        "half_girth_type": [
            4,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a^-1 * b * a * b * a^-1 * b * a",
            "b^-1 * a^-1 * b * a^-1 * b^-1 * a^-1 * b * a^-1",
            "c * b * c * b * c^-1 * b^-1 * c^-1 * b^-1",
            "c * a * c^-1 * a^-1 * c^-1 * a * c * a^-1",
            "c * a * c^-1 * a * c * a * c^-1 * a * c * a * c^-1 * a"
        ],
        "order1": 40,
        "order2": 48,
        "order3": 54,
        "index": 2,
        "presentation_length": 53,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 1,
        "L2_quotients": [
            "L_2(3^2)"
        ],
        "quotients": {
            "A_{3}(3)": 22,
            "B_{2}(3)": 17,
            "M_{12}": 7,
            "C_{3}(2)": 2,
            "Alt(10)": 12,
            "{}^2A_{3}(9)": 20,
            "Alt(11)": 15,
            "{}^2A_{4}(4)": 24
        },
        "alternating_quotients": [
            3,
            5,
            6,
            10,
            11,
            12,
            14,
            15,
            16,
            17,
            18,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40
        ],
        "maximal_degree_alternating_quotients": 40,
        "L2_quotients_utf8": [
            "L₂(3²)"
        ],
        "quotients_utf8": {
            "²A₄(4)": 24,
            "C₃(2)": 2,
            "²A₃(9)": 20,
            "M₁₂": 7,
            "Alt(10)": 12,
            "A₃(3)": 22,
            "Alt(11)": 15,
            "B₂(3)": 17
        },
        "quotients_plain": {
            "M12": 7,
            "B2(3)": 17,
            "A3(3)": 22,
            "Alt(10)": 12,
            "Alt(11)": 15,
            "C3(2)": 2,
            "2A3(9)": 20,
            "2A4(4)": 24
        }
    },
    {
        "name": "G^{40,54,54}_0",
        "name_utf8": "G⁴⁰'⁵⁴'⁵⁴₀",
        "half_girth_type": [
            4,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a^-1 * b * a * b * a^-1 * b * a",
            "b^-1 * a^-1 * b * a^-1 * b^-1 * a^-1 * b * a^-1",
            "c * b * c^-1 * b^-1 * c^-1 * b * c * b^-1",
            "c * b * c^-1 * b * c * b * c^-1 * b * c * b * c^-1 * b",
            "a * c * a^-1 * c^-1 * a^-1 * c * a * c^-1",
            "a * c * a^-1 * c * a * c * a^-1 * c * a * c * a^-1 * c"
        ],
        "order1": 40,
        "order2": 54,
        "order3": 54,
        "index": 0,
        "presentation_length": 65,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {
            "Alt(9)": 2,
            "A_{3}(3)": 17,
            "B_{2}(3)": 8,
            "M_{12}": 2,
            "Alt(10)": 4,
            "{}^2A_{3}(9)": 9,
            "{}^2A_{4}(4)": 7
        },
        "alternating_quotients": [
            3,
            5,
            9,
            10,
            12,
            15,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40
        ],
        "maximal_degree_alternating_quotients": 40,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "²A₄(4)": 7,
            "Alt(9)": 2,
            "²A₃(9)": 9,
            "M₁₂": 2,
            "Alt(10)": 4,
            "A₃(3)": 17,
            "B₂(3)": 8
        },
        "quotients_plain": {
            "M12": 2,
            "B2(3)": 8,
            "Alt(9)": 2,
            "A3(3)": 17,
            "Alt(10)": 4,
            "2A3(9)": 9,
            "2A4(4)": 7
        }
    },
    {
        "name": "G^{40,54,54}_2",
        "name_utf8": "G⁴⁰'⁵⁴'⁵⁴₂",
        "half_girth_type": [
            4,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a^-1 * b * a * b * a^-1 * b * a",
            "b^-1 * a^-1 * b * a^-1 * b^-1 * a^-1 * b * a^-1",
            "c * b * c^-1 * b^-1 * c^-1 * b * c * b^-1",
            "c * b * c^-1 * b * c * b * c^-1 * b * c * b * c^-1 * b",
            "c * a * c^-1 * a^-1 * c^-1 * a * c * a^-1",
            "c * a * c^-1 * a * c * a * c^-1 * a * c * a * c^-1 * a"
        ],
        "order1": 40,
        "order2": 54,
        "order3": 54,
        "index": 2,
        "presentation_length": 65,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {
            "A_{3}(3)": 26,
            "B_{2}(3)": 12,
            "M_{12}": 2,
            "C_{3}(2)": 4,
            "Alt(10)": 16,
            "{}^2A_{3}(9)": 14,
            "Alt(11)": 10,
            "{}^2A_{4}(4)": 40
        },
        "alternating_quotients": [
            3,
            5,
            10,
            11,
            12,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40
        ],
        "maximal_degree_alternating_quotients": 40,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "²A₄(4)": 40,
            "C₃(2)": 4,
            "²A₃(9)": 14,
            "M₁₂": 2,
            "Alt(10)": 16,
            "A₃(3)": 26,
            "Alt(11)": 10,
            "B₂(3)": 12
        },
        "quotients_plain": {
            "M12": 2,
            "B2(3)": 12,
            "A3(3)": 26,
            "Alt(10)": 16,
            "Alt(11)": 10,
            "C3(2)": 4,
            "2A3(9)": 14,
            "2A4(4)": 40
        }
    },
    {
        "name": "G^{40,54,54}_8",
        "name_utf8": "G⁴⁰'⁵⁴'⁵⁴₈",
        "half_girth_type": [
            4,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a^-1 * b * a * b * a^-1 * b * a",
            "b^-1 * a^-1 * b * a^-1 * b^-1 * a^-1 * b * a^-1",
            "b * c * b^-1 * c^-1 * b^-1 * c * b * c^-1",
            "b * c * b^-1 * c * b * c * b^-1 * c * b * c * b^-1 * c",
            "a * c * a^-1 * c^-1 * a^-1 * c * a * c^-1",
            "a * c * a^-1 * c * a * c * a^-1 * c * a * c * a^-1 * c"
        ],
        "order1": 40,
        "order2": 54,
        "order3": 54,
        "index": 8,
        "presentation_length": 65,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 1,
        "L2_quotients": [],
        "quotients": {
            "Alt(9)": 12,
            "A_{3}(3)": 8,
            "B_{2}(3)": 8,
            "M_{12}": 2,
            "{}^2A_{3}(9)": 12,
            "{}^2A_{4}(4)": 16
        },
        "alternating_quotients": [
            3,
            5,
            9,
            12,
            15,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40
        ],
        "maximal_degree_alternating_quotients": 40,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "²A₄(4)": 16,
            "Alt(9)": 12,
            "²A₃(9)": 12,
            "M₁₂": 2,
            "A₃(3)": 8,
            "B₂(3)": 8
        },
        "quotients_plain": {
            "M12": 2,
            "B2(3)": 8,
            "Alt(9)": 12,
            "A3(3)": 8,
            "2A3(9)": 12,
            "2A4(4)": 16
        }
    },
    {
        "name": "G^{48,48,48}_0",
        "name_utf8": "G⁴⁸'⁴⁸'⁴⁸₀",
        "half_girth_type": [
            4,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b^-1 * a^-1 * b^-1 * a^-1",
            "c * b * c * b * c^-1 * b^-1 * c^-1 * b^-1",
            "a * c * a * c * a^-1 * c^-1 * a^-1 * c^-1"
        ],
        "order1": 48,
        "order2": 48,
        "order3": 48,
        "index": 0,
        "presentation_length": 33,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 3,
        "L2_quotients": [],
        "quotients": {
            "Alt(9)": 3,
            "HS": 3,
            "{}^2A_{2}(81)": 2,
            "C_{3}(2)": 39,
            "B_{2}(5)": 9,
            "{}^2A_{2}(9)": 2,
            "A_{3}(3)": 33,
            "B_{2}(3)": 27,
            "{}^2A_{3}(9)": 21,
            "Alt(11)": 3,
            "A_{2}(3)": 1,
            "M_{22}": 1,
            "{}^2A_{4}(4)": 60
        },
        "alternating_quotients": [
            3,
            4,
            5,
            9,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40
        ],
        "maximal_degree_alternating_quotients": 40,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "²A₄(4)": 60,
            "Alt(9)": 3,
            "²A₃(9)": 21,
            "²A₂(81)": 2,
            "HS": 3,
            "B₂(5)": 9,
            "B₂(3)": 27,
            "C₃(2)": 39,
            "²A₂(9)": 2,
            "M₂₂": 1,
            "A₃(3)": 33,
            "Alt(11)": 3,
            "A₂(3)": 1
        },
        "quotients_plain": {
            "Alt(9)": 3,
            "HS": 3,
            "A2(3)": 1,
            "A3(3)": 33,
            "B2(5)": 9,
            "C3(2)": 39,
            "2A2(9)": 2,
            "B2(3)": 27,
            "Alt(11)": 3,
            "2A3(9)": 21,
            "M22": 1,
            "2A2(81)": 2,
            "2A4(4)": 60
        }
    },
    {
        "name": "G^{48,48,48}_1",
        "name_utf8": "G⁴⁸'⁴⁸'⁴⁸₁",
        "half_girth_type": [
            4,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b^-1 * a^-1 * b^-1 * a^-1",
            "c * b * c * b * c^-1 * b^-1 * c^-1 * b^-1",
            "a * c^-1 * a * c^-1 * a^-1 * c * a^-1 * c"
        ],
        "order1": 48,
        "order2": 48,
        "order3": 48,
        "index": 1,
        "presentation_length": 33,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 3,
        "L2_quotients": [],
        "quotients": {
            "HS": 3,
            "{}^2A_{2}(81)": 2,
            "{}^2A_{2}(64)": 2,
            "Alt(10)": 3,
            "M_{12}": 1,
            "Alt(8) or A_{2}(4)": 6,
            "J_{2}": 4,
            "C_{3}(2)": 27,
            "Alt(7)": 3,
            "B_{2}(5)": 19,
            "{}^2A_{2}(9)": 1,
            "A_{3}(3)": 30,
            "A_{4}(2)": 4,
            "B_{2}(3)": 24,
            "{}^2A_{2}(25)": 3,
            "{}^2A_{3}(9)": 15,
            "Alt(11)": 3,
            "A_{2}(9)": 1,
            "A_{2}(7)": 1,
            "{}^2A_{4}(4)": 63
        },
        "alternating_quotients": [
            3,
            4,
            7,
            8,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40
        ],
        "maximal_degree_alternating_quotients": 40,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "²A₄(4)": 63,
            "²A₂(25)": 3,
            "²A₃(9)": 15,
            "²A₂(81)": 2,
            "M₁₂": 1,
            "HS": 3,
            "Alt(10)": 3,
            "B₂(5)": 19,
            "A₂(9)": 1,
            "Alt(7)": 3,
            "B₂(3)": 24,
            "A₂(7)": 1,
            "C₃(2)": 27,
            "²A₂(9)": 1,
            "Alt(8) or A₂(4)": 6,
            "²A₂(64)": 2,
            "A₃(3)": 30,
            "A₄(2)": 4,
            "J₂": 4,
            "Alt(11)": 3
        },
        "quotients_plain": {
            "2A2(25)": 3,
            "A3(3)": 30,
            "A2(9)": 1,
            "B2(5)": 19,
            "Alt(10)": 3,
            "HS": 3,
            "A4(2)": 4,
            "C3(2)": 27,
            "Alt(7)": 3,
            "2A2(9)": 1,
            "J2": 4,
            "Alt(8) or A2(4)": 6,
            "M12": 1,
            "B2(3)": 24,
            "2A2(64)": 2,
            "A2(7)": 1,
            "Alt(11)": 3,
            "2A3(9)": 15,
            "2A2(81)": 2,
            "2A4(4)": 63
        }
    },
    {
        "name": "G^{48,48,54}_0",
        "name_utf8": "G⁴⁸'⁴⁸'⁵⁴₀",
        "half_girth_type": [
            4,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b^-1 * a^-1 * b^-1 * a^-1",
            "c * b * c * b * c^-1 * b^-1 * c^-1 * b^-1",
            "a * c * a^-1 * c^-1 * a^-1 * c * a * c^-1",
            "a * c * a^-1 * c * a * c * a^-1 * c * a * c * a^-1 * c"
        ],
        "order1": 48,
        "order2": 48,
        "order3": 54,
        "index": 0,
        "presentation_length": 45,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 3,
        "L2_quotients": [],
        "quotients": {
            "Alt(9)": 3,
            "A_{3}(3)": 28,
            "B_{2}(3)": 19,
            "Alt(10)": 6,
            "C_{3}(2)": 3,
            "{}^2A_{3}(9)": 17,
            "Alt(11)": 6,
            "A_{2}(3)": 2,
            "A_{2}(9)": 3,
            "{}^2A_{4}(4)": 40
        },
        "alternating_quotients": [
            3,
            4,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40
        ],
        "maximal_degree_alternating_quotients": 40,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "²A₄(4)": 40,
            "C₃(2)": 3,
            "Alt(9)": 3,
            "²A₃(9)": 17,
            "Alt(10)": 6,
            "A₃(3)": 28,
            "Alt(11)": 6,
            "A₂(9)": 3,
            "A₂(3)": 2,
            "B₂(3)": 19
        },
        "quotients_plain": {
            "Alt(9)": 3,
            "B2(3)": 19,
            "A2(3)": 2,
            "A3(3)": 28,
            "A2(9)": 3,
            "Alt(10)": 6,
            "Alt(11)": 6,
            "C3(2)": 3,
            "2A3(9)": 17,
            "2A4(4)": 40
        }
    },
    {
        "name": "G^{48,54,54}_0",
        "name_utf8": "G⁴⁸'⁵⁴'⁵⁴₀",
        "half_girth_type": [
            4,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b^-1 * a^-1 * b^-1 * a^-1",
            "c * b * c^-1 * b^-1 * c^-1 * b * c * b^-1",
            "c * b * c^-1 * b * c * b * c^-1 * b * c * b * c^-1 * b",
            "a * c * a^-1 * c^-1 * a^-1 * c * a * c^-1",
            "a * c * a^-1 * c * a * c * a^-1 * c * a * c * a^-1 * c"
        ],
        "order1": 48,
        "order2": 54,
        "order3": 54,
        "index": 0,
        "presentation_length": 57,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 3,
        "L2_quotients": [],
        "quotients": {
            "Alt(9)": 6,
            "{}^2A_{2}(64)": 2,
            "A_{3}(3)": 11,
            "B_{2}(3)": 8,
            "Alt(10)": 2,
            "{}^2A_{3}(9)": 9,
            "Alt(11)": 4,
            "A_{2}(9)": 3,
            "A_{2}(3)": 2,
            "{}^2A_{4}(4)": 25
        },
        "alternating_quotients": [
            3,
            4,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40
        ],
        "maximal_degree_alternating_quotients": 40,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "²A₄(4)": 25,
            "Alt(9)": 6,
            "²A₃(9)": 9,
            "Alt(10)": 2,
            "A₃(3)": 11,
            "²A₂(64)": 2,
            "Alt(11)": 4,
            "A₂(9)": 3,
            "A₂(3)": 2,
            "B₂(3)": 8
        },
        "quotients_plain": {
            "Alt(9)": 6,
            "B2(3)": 8,
            "A2(3)": 2,
            "2A2(64)": 2,
            "A3(3)": 11,
            "Alt(10)": 2,
            "A2(9)": 3,
            "Alt(11)": 4,
            "2A3(9)": 9,
            "2A4(4)": 25
        }
    },
    {
        "name": "G^{48,54,54}_2",
        "name_utf8": "G⁴⁸'⁵⁴'⁵⁴₂",
        "half_girth_type": [
            4,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b^-1 * a^-1 * b^-1 * a^-1",
            "c * b * c^-1 * b^-1 * c^-1 * b * c * b^-1",
            "c * b * c^-1 * b * c * b * c^-1 * b * c * b * c^-1 * b",
            "c * a * c^-1 * a^-1 * c^-1 * a * c * a^-1",
            "c * a * c^-1 * a * c * a * c^-1 * a * c * a * c^-1 * a"
        ],
        "order1": 48,
        "order2": 54,
        "order3": 54,
        "index": 2,
        "presentation_length": 57,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": true,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 3,
        "L2_quotients": [],
        "quotients": {
            "Alt(9)": 9,
            "{}^2A_{2}(64)": 2,
            "Alt(10)": 22,
            "C_{3}(2)": 6,
            "A_{3}(3)": 36,
            "B_{2}(3)": 10,
            "{}^2A_{3}(9)": 14,
            "A_{2}(9)": 3,
            "Alt(11)": 20,
            "A_{2}(3)": 2,
            "{}^2A_{4}(4)": 28
        },
        "alternating_quotients": [
            3,
            4,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40
        ],
        "maximal_degree_alternating_quotients": 40,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "²A₄(4)": 28,
            "Alt(9)": 9,
            "²A₃(9)": 14,
            "Alt(10)": 22,
            "A₂(9)": 3,
            "B₂(3)": 10,
            "C₃(2)": 6,
            "A₃(3)": 36,
            "²A₂(64)": 2,
            "Alt(11)": 20,
            "A₂(3)": 2
        },
        "quotients_plain": {
            "Alt(9)": 9,
            "A2(9)": 3,
            "A2(3)": 2,
            "A3(3)": 36,
            "Alt(10)": 22,
            "C3(2)": 6,
            "B2(3)": 10,
            "2A2(64)": 2,
            "Alt(11)": 20,
            "2A3(9)": 14,
            "2A4(4)": 28
        }
    },
    {
        "name": "G^{48,54,54}_8",
        "name_utf8": "G⁴⁸'⁵⁴'⁵⁴₈",
        "half_girth_type": [
            4,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b * a * b^-1 * a^-1 * b^-1 * a^-1",
            "b * c * b^-1 * c^-1 * b^-1 * c * b * c^-1",
            "b * c * b^-1 * c * b * c * b^-1 * c * b * c * b^-1 * c",
            "a * c * a^-1 * c^-1 * a^-1 * c * a * c^-1",
            "a * c * a^-1 * c * a * c * a^-1 * c * a * c * a^-1 * c"
        ],
        "order1": 48,
        "order2": 54,
        "order3": 54,
        "index": 8,
        "presentation_length": 57,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 3,
        "L2_quotients": [],
        "quotients": {
            "Alt(9)": 14,
            "{}^2A_{2}(64)": 2,
            "A_{3}(3)": 19,
            "B_{2}(3)": 18,
            "Alt(10)": 1,
            "{}^2A_{3}(9)": 15,
            "Alt(11)": 1,
            "A_{2}(9)": 3,
            "A_{2}(3)": 2,
            "{}^2A_{4}(4)": 52
        },
        "alternating_quotients": [
            3,
            4,
            9,
            10,
            11,
            12,
            13,
            15,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40
        ],
        "maximal_degree_alternating_quotients": 40,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "²A₄(4)": 52,
            "Alt(9)": 14,
            "²A₃(9)": 15,
            "Alt(10)": 1,
            "A₃(3)": 19,
            "²A₂(64)": 2,
            "Alt(11)": 1,
            "A₂(9)": 3,
            "A₂(3)": 2,
            "B₂(3)": 18
        },
        "quotients_plain": {
            "Alt(9)": 14,
            "B2(3)": 18,
            "A2(3)": 2,
            "2A2(64)": 2,
            "A3(3)": 19,
            "Alt(10)": 1,
            "A2(9)": 3,
            "Alt(11)": 1,
            "2A3(9)": 15,
            "2A4(4)": 52
        }
    },
    {
        "name": "G^{54,54,54}_0",
        "name_utf8": "G⁵⁴'⁵⁴'⁵⁴₀",
        "half_girth_type": [
            4,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b^-1 * a * b * a^-1",
            "b * a * b^-1 * a * b * a * b^-1 * a * b * a * b^-1 * a",
            "c * b * c^-1 * b^-1 * c^-1 * b * c * b^-1",
            "c * b * c^-1 * b * c * b * c^-1 * b * c * b * c^-1 * b",
            "a * c * a^-1 * c^-1 * a^-1 * c * a * c^-1",
            "a * c * a^-1 * c * a * c * a^-1 * c * a * c * a^-1 * c"
        ],
        "order1": 54,
        "order2": 54,
        "order3": 54,
        "index": 0,
        "presentation_length": 69,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 3,
        "L2_quotients": [],
        "quotients": {
            "Alt(9)": 6,
            "A_{2}(9)": 3,
            "A_{2}(3)": 2,
            "{}^2A_{4}(4)": 10
        },
        "alternating_quotients": [
            3,
            9,
            19,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40
        ],
        "maximal_degree_alternating_quotients": 40,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "²A₄(4)": 10,
            "Alt(9)": 6,
            "A₂(9)": 3,
            "A₂(3)": 2
        },
        "quotients_plain": {
            "Alt(9)": 6,
            "A2(9)": 3,
            "A2(3)": 2,
            "2A4(4)": 10
        }
    },
    {
        "name": "G^{54,54,54}_2",
        "name_utf8": "G⁵⁴'⁵⁴'⁵⁴₂",
        "half_girth_type": [
            4,
            4,
            4
        ],
        "generators": [
            "a",
            "b",
            "c"
        ],
        "relations": [
            "a^3",
            "b^3",
            "c^3",
            "b * a * b^-1 * a^-1 * b^-1 * a * b * a^-1",
            "b * a * b^-1 * a * b * a * b^-1 * a * b * a * b^-1 * a",
            "c * b * c^-1 * b^-1 * c^-1 * b * c * b^-1",
            "c * b * c^-1 * b * c * b * c^-1 * b * c * b * c^-1 * b",
            "c * a * c^-1 * a^-1 * c^-1 * a * c * a^-1",
            "c * a * c^-1 * a * c * a * c^-1 * a * c * a * c^-1 * a"
        ],
        "order1": 54,
        "order2": 54,
        "order3": 54,
        "index": 2,
        "presentation_length": 69,
        "hyperbolic": true,
        "witnesses_non_hyperbolictity": null,
        "virtually_torsion_free": null,
        "Kazdhdan_property_T": false,
        "abelianization_dimension": 3,
        "L2_quotients": [],
        "quotients": {
            "Alt(9)": 24,
            "A_{3}(3)": 13,
            "B_{2}(3)": 8,
            "{}^2A_{3}(9)": 9,
            "A_{2}(9)": 3,
            "A_{2}(3)": 2,
            "{}^2A_{4}(4)": 41
        },
        "alternating_quotients": [
            3,
            9,
            12,
            15,
            18,
            19,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40
        ],
        "maximal_degree_alternating_quotients": 40,
        "L2_quotients_utf8": [],
        "quotients_utf8": {
            "²A₄(4)": 41,
            "Alt(9)": 24,
            "²A₃(9)": 9,
            "A₃(3)": 13,
            "A₂(9)": 3,
            "A₂(3)": 2,
            "B₂(3)": 8
        },
        "quotients_plain": {
            "Alt(9)": 24,
            "B2(3)": 8,
            "A2(3)": 2,
            "A3(3)": 13,
            "A2(9)": 3,
            "2A3(9)": 9,
            "2A4(4)": 41
        }
    }
]