mirror of
https://github.com/kalmarek/SmallHyperbolic
synced 2024-09-01 13:25:35 +02:00
85 lines
13 KiB
Plaintext
85 lines
13 KiB
Plaintext
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// 14 40 40 0
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G_0 := Group<a, b, c | 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>;
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// 14 40 48 0
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G_0 := Group<a, b, c | 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>;
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// 14 40 54 0 2
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G_0 := Group<a, b, c | 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>;
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G_2 := Group<a, b, c | 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>;
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// 14 48 48 0 1
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G_0 := Group<a, b, c | 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>;
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G_1 := Group<a, b, c | 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>;
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// 14 48 54 0 2
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G_0 := Group<a, b, c | 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>;
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G_2 := Group<a, b, c | 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>;
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// 14 54 54 0 2 8
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G_0 := Group<a, b, c | 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>;
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G_2 := Group<a, b, c | 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>;
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G_8 := Group<a, b, c | 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>;
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// 16 40 40 0
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G_0 := Group<a, b, c | 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>;
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// 16 40 48 0
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G_0 := Group<a, b, c | 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>;
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// 16 40 54 0 2
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G_0 := Group<a, b, c | 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>;
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G_2 := Group<a, b, c | 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>;
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// 16 48 48 0 1
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G_0 := Group<a, b, c | 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>;
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G_1 := Group<a, b, c | 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>;
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// 16 48 54 0 2
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G_0 := Group<a, b, c | 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>;
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G_2 := Group<a, b, c | 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>;
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// 16 54 54 0 2 8
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G_0 := Group<a, b, c | 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>;
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G_2 := Group<a, b, c | 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>;
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G_8 := Group<a, b, c | 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>;
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// 18 40 40 0
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G_0 := Group<a, b, c | 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>;
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// 18 40 48 0
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G_0 := Group<a, b, c | 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>;
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// 18 40 54 0 2
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G_0 := Group<a, b, c | 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>;
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G_2 := Group<a, b, c | 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>;
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// 18 48 48 0
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G_0 := Group<a, b, c | 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>;
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// 18 48 54 0 2
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G_0 := Group<a, b, c | 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>;
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G_2 := Group<a, b, c | 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>;
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// 18 54 54 0 2 8
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G_0 := Group<a, b, c | 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>;
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G_2 := Group<a, b, c | 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>;
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G_8 := Group<a, b, c | 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>;
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// 24 40 40 0
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G_0 := Group<a, b, c | 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>;
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// 24 40 48 0
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G_0 := Group<a, b, c | 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>;
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// 24 40 54 0 2
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G_0 := Group<a, b, c | 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>;
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G_2 := Group<a, b, c | 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>;
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// 24 48 48 0 1
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G_0 := Group<a, b, c | 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>;
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G_1 := Group<a, b, c | 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>;
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// 24 48 54 0 2
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G_0 := Group<a, b, c | 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>;
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G_2 := Group<a, b, c | 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>;
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// 24 54 54 0 2 8
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G_0 := Group<a, b, c | 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>;
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G_2 := Group<a, b, c | 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>;
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G_8 := Group<a, b, c | 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>;
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// 26 40 40 0
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G_0 := Group<a, b, c | 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>;
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// 26 40 48 0
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G_0 := Group<a, b, c | 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>;
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// 26 40 54 0 2
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G_0 := Group<a, b, c | 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>;
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G_2 := Group<a, b, c | 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>;
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// 26 48 48 0 1
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G_0 := Group<a, b, c | 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>;
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G_1 := Group<a, b, c | 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>;
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// 26 48 54 0 2
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G_0 := Group<a, b, c | 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>;
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G_2 := Group<a, b, c | 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>;
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// 26 54 54 0 2 8
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G_0 := Group<a, b, c | 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>;
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G_2 := Group<a, b, c | 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>;
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G_8 := Group<a, b, c | 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>;
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