mirror of
https://github.com/kalmarek/SmallHyperbolic
synced 2024-11-09 04:05:27 +01:00
add magma representations && parsing
This commit is contained in:
commit
d36c949d36
123
data/presentations_3_3_4.txt
Normal file
123
data/presentations_3_3_4.txt
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@ -0,0 +1,123 @@
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// 14 14 40 0 4
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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 * 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>;
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G_4 := Group<a, b, c | 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>;
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// 14 14 48 0 1 4 5
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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 * b, 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^-1 * b^-1 * c * b, a * c^-1 * a * c^-1 * a^-1 * c * a^-1 * c>;
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G_4 := Group<a, b, c | 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>;
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G_5 := Group<a, b, c | 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>;
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// 14 14 54 0 4
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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 * 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_4 := Group<a, b, c | 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>;
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// 14 16 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 * 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>;
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// 14 16 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^-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^-1 * c^-1 * b^-1, a * c^-1 * a * c^-1 * a^-1 * c * a^-1 * c>;
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// 14 16 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^-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^-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 18 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 * 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>;
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// 14 18 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 * 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>;
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// 14 18 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 * 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>;
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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 * 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>;
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// 14 24 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 * 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>;
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// 14 24 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 * 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>;
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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 * 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>;
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// 14 24 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 * 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>;
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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 * 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>;
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// 14 26 40 0 4
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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 * 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>;
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G_4 := Group<a, b, c | 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>;
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// 14 26 48 0 1 4 5
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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 * 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>;
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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 * 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>;
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G_4 := Group<a, b, c | 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>;
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G_5 := Group<a, b, c | 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>;
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// 14 26 54 0 2 4 6
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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 * 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>;
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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 * 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>;
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G_4 := Group<a, b, c | 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>;
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G_6 := Group<a, b, c | 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>;
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// 16 16 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 * 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>;
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// 16 16 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^-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^-1 * c^-1 * b^-1, a * c^-1 * a * c^-1 * a^-1 * c * a^-1 * c>;
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// 16 16 54 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 * 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>;
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// 16 18 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 * 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>;
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// 16 18 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 * 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>;
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// 16 18 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 * 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>;
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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 * 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>;
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// 16 24 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 * 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>;
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// 16 24 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 * 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>;
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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 * 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>;
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// 16 24 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 * 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>;
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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 * 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>;
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// 16 26 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 * 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>;
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// 16 26 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 * 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>;
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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 * 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>;
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// 16 26 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 * 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>;
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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 * 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>;
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// 18 18 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 * 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>;
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// 18 18 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 * b, c * b^-1 * c * b^-1 * c * b^-1, a * c * a * c * a^-1 * c^-1 * a^-1 * c^-1>;
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// 18 18 54 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 * 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>;
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// 18 24 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 * 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>;
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// 18 24 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 * 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>;
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// 18 24 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 * 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>;
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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 * 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>;
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// 18 26 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 * 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>;
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// 18 26 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 * 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>;
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// 18 26 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 * 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>;
|
||||
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 * 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>;
|
||||
// 24 24 40 0
|
||||
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 * 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>;
|
||||
// 24 24 48 0 1
|
||||
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 * 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>;
|
||||
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 * 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>;
|
||||
// 24 24 54 0
|
||||
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 * 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>;
|
||||
// 24 26 40 0
|
||||
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 * 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>;
|
||||
// 24 26 48 0 1
|
||||
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 * 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>;
|
||||
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 * 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>;
|
||||
// 24 26 54 0 2
|
||||
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 * 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>;
|
||||
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 * 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>;
|
||||
// 26 26 40 0 4
|
||||
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 * 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>;
|
||||
G_4 := 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^-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>;
|
||||
// 26 26 48 0 1 4 5
|
||||
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 * 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>;
|
||||
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 * 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>;
|
||||
G_4 := 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^-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>;
|
||||
G_5 := 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^-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>;
|
||||
// 26 26 54 0 4
|
||||
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 * 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>;
|
||||
G_4 := 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^-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>;
|
84
data/presentations_3_4_4.txt
Normal file
84
data/presentations_3_4_4.txt
Normal file
@ -0,0 +1,84 @@
|
||||
// 14 40 40 0
|
||||
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>;
|
||||
// 14 40 48 0
|
||||
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>;
|
||||
// 14 40 54 0 2
|
||||
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>;
|
||||
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>;
|
||||
// 14 48 48 0 1
|
||||
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>;
|
||||
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>;
|
||||
// 14 48 54 0 2
|
||||
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>;
|
||||
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>;
|
||||
// 14 54 54 0 2 8
|
||||
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>;
|
||||
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>;
|
||||
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>;
|
||||
// 16 40 40 0
|
||||
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>;
|
||||
// 16 40 48 0
|
||||
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>;
|
||||
// 16 40 54 0 2
|
||||
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>;
|
||||
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>;
|
||||
// 16 48 48 0 1
|
||||
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>;
|
||||
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>;
|
||||
// 16 48 54 0 2
|
||||
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>;
|
||||
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>;
|
||||
// 16 54 54 0 2 8
|
||||
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>;
|
||||
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>;
|
||||
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>;
|
||||
// 18 40 40 0
|
||||
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>;
|
||||
// 18 40 48 0
|
||||
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>;
|
||||
// 18 40 54 0 2
|
||||
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>;
|
||||
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>;
|
||||
// 18 48 48 0
|
||||
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>;
|
||||
// 18 48 54 0 2
|
||||
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>;
|
||||
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>;
|
||||
// 18 54 54 0 2 8
|
||||
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>;
|
||||
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>;
|
||||
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>;
|
||||
// 24 40 40 0
|
||||
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>;
|
||||
// 24 40 48 0
|
||||
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>;
|
||||
// 24 40 54 0 2
|
||||
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>;
|
||||
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>;
|
||||
// 24 48 48 0 1
|
||||
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>;
|
||||
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>;
|
||||
// 24 48 54 0 2
|
||||
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>;
|
||||
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>;
|
||||
// 24 54 54 0 2 8
|
||||
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>;
|
||||
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>;
|
||||
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>;
|
||||
// 26 40 40 0
|
||||
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>;
|
||||
// 26 40 48 0
|
||||
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>;
|
||||
// 26 40 54 0 2
|
||||
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>;
|
||||
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>;
|
||||
// 26 48 48 0 1
|
||||
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>;
|
||||
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>;
|
||||
// 26 48 54 0 2
|
||||
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>;
|
||||
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>;
|
||||
// 26 54 54 0 2 8
|
||||
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>;
|
||||
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>;
|
||||
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>;
|
27
data/presentations_4_4_4.txt
Normal file
27
data/presentations_4_4_4.txt
Normal file
@ -0,0 +1,27 @@
|
||||
// 40 40 40 0
|
||||
G_0 := Group<a, b, c | 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>;
|
||||
// 40 40 48 0
|
||||
G_0 := Group<a, b, c | 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>;
|
||||
// 40 40 54 0
|
||||
G_0 := Group<a, b, c | 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>;
|
||||
// 40 48 48 0
|
||||
G_0 := Group<a, b, c | 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>;
|
||||
// 40 48 54 0 2
|
||||
G_0 := Group<a, b, c | 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>;
|
||||
G_2 := Group<a, b, c | 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>;
|
||||
// 40 54 54 0 2 8
|
||||
G_0 := Group<a, b, c | 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>;
|
||||
G_2 := Group<a, b, c | 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>;
|
||||
G_8 := Group<a, b, c | 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>;
|
||||
// 48 48 48 0 1
|
||||
G_0 := Group<a, b, c | 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>;
|
||||
G_1 := Group<a, b, c | 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>;
|
||||
// 48 48 54 0
|
||||
G_0 := Group<a, b, c | 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>;
|
||||
// 48 54 54 0 2 8
|
||||
G_0 := Group<a, b, c | 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>;
|
||||
G_2 := Group<a, b, c | 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>;
|
||||
G_8 := Group<a, b, c | 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>;
|
||||
// 54 54 54 0 2
|
||||
G_0 := Group<a, b, c | 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>;
|
||||
G_2 := Group<a, b, c | 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>;
|
51
src/groupparse.jl
Normal file
51
src/groupparse.jl
Normal file
@ -0,0 +1,51 @@
|
||||
function parse_magma_grouppresentation(str::AbstractString)
|
||||
m = match(r".*Group<(.*)\|(.*)>", str)
|
||||
gens_str = strip.(split(m.captures[1], ", "))
|
||||
rels_str = strip.(split(m.captures[2], ", "))
|
||||
return parse_magma_grouppresentation(gens_str, rels_str)
|
||||
end
|
||||
|
||||
parse_magma_grouppresentation(gens_str::AbstractString, rels_str::AbstractString) =
|
||||
parse_magma_grouppresentation(
|
||||
strip.(split(gens_str, ", ")),
|
||||
strip.(split(rels_str, ", "))
|
||||
)
|
||||
|
||||
function parse_magma_grouppresentation(gens_str::AbstractVector{<:AbstractString}, rels_str::AbstractVector{<:AbstractString})
|
||||
rels_expr = Meta.parse.(rels_str)
|
||||
expr = :([$(rels_expr...)])
|
||||
|
||||
F = FreeGroup(String.(gens_str))
|
||||
relations = @eval begin
|
||||
a,b,c = AbstractAlgebra.gens($F)
|
||||
$expr
|
||||
end
|
||||
|
||||
return F/relations
|
||||
end
|
||||
|
||||
function parse_grouppresentations(filename::AbstractString)
|
||||
groups_strs = readlines(filename)
|
||||
groups = Dict{String, FPGroup}()
|
||||
|
||||
names_idcs = findall(x->startswith(x, "//"), groups_strs)
|
||||
push!(names_idcs, names_idcs[end]+1)
|
||||
|
||||
for (first_idx, next_idx) in zip(names_idcs, Iterators.rest(names_idcs, 2))
|
||||
|
||||
m = match(r"//\s?((\d{2}\s){2}\d\d).*", groups_strs[first_idx])
|
||||
|
||||
name = replace(m.captures[1], " "=>"_")
|
||||
for idx in first_idx+1:next_idx-1
|
||||
m = match(r"(.*)\s:=\sGroup<(.*)\|(.*)>", groups_strs[idx])
|
||||
if isnothing(m)
|
||||
@warn "Can't parse presentation at line $idx:\n $(str[idx])"
|
||||
else
|
||||
group_name = "$(name)_$(m.captures[1])"
|
||||
G = parse_magma_grouppresentation(m.captures[2], m.captures[3])
|
||||
groups[group_name] = G
|
||||
end
|
||||
end
|
||||
end
|
||||
return groups
|
||||
end
|
Loading…
Reference in New Issue
Block a user