mirror of
https://github.com/kalmarek/SmallHyperbolic
synced 2024-11-09 04:05:27 +01:00
34 lines
3.0 KiB
Plaintext
34 lines
3.0 KiB
Plaintext
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// 6 40 40 0
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G_6_40_40_0 := Group< a, b, c | 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>
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// 6 40 48 0
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G_6_40_48_0 := Group< a, b, c | 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>
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// 6 40 54 0 2
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// G_6_40_54_0 := Group< a, b, c | 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>
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G_6_40_54_2 := Group< a, b, c | 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>
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// 6 48 48 0
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// G_6_48_48_0 := Group< a, b, c | 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>
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// 6 48 54 0 2
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// G_6_48_54_0 := Group< a, b, c | 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>
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// G_6_48_54_2 := Group< a, b, c | 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>
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// 6 54 54 0 2 8
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// G_6_54_54_0 := Group< a, b, c | 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>
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// G_6_54_54_2 := Group< a, b, c | 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>
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// G_6_54_54_8 := Group< a, b, c | 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>
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// 8 40 40 0
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// G_8_40_40_0 := Group< a, b, c | 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>
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// 8 40 48 0
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// G_8_40_48_0 := Group< a, b, c | 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>
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// 8 40 54 0 2
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G_8_40_54_0 := Group< a, b, c | 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>
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G_8_40_54_2 := Group< a, b, c | 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>
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// 8 48 48 0 1
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// G_8_48_48_0 := Group< a, b, c | 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>
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// G_8_48_48_1 := Group< a, b, c | 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>
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// 8 48 54 0 2
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// G_8_48_54_0 := Group< a, b, c | 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>
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// G_8_48_54_2 := Group< a, b, c | 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>
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// 8 54 54 0 2 8
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// G_8_54_54_0 := Group< a, b, c | 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>
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// G_8_54_54_2 := Group< a, b, c | 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>
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// G_8_54_54_8 := Group< a, b, c | 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>
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