diff --git a/data/presentations_3_3_4.txt b/data/presentations_3_3_4.txt index 80e9e09..019ae7b 100644 --- a/data/presentations_3_3_4.txt +++ b/data/presentations_3_3_4.txt @@ -1,123 +1,123 @@ // 14 14 40 0 4 -G_0 := Group; -G_4 := Group; +G_14_14_40_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 > +G_14_14_40_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 > // 14 14 48 0 1 4 5 -G_0 := Group; -G_1 := Group; -G_4 := Group; -G_5 := Group; +G_14_14_48_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 > +G_14_14_48_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 > +G_14_14_48_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 > +G_14_14_48_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 > // 14 14 54 0 4 -G_0 := Group; -G_4 := Group; +G_14_14_54_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 > +G_14_14_54_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 > // 14 16 40 0 -G_0 := Group; +G_14_16_40_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 > // 14 16 48 0 1 -G_0 := Group; -G_1 := Group; +G_14_16_48_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 > +G_14_16_48_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 > // 14 16 54 0 2 -G_0 := Group; -G_2 := Group; +G_14_16_54_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 > +G_14_16_54_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 > // 14 18 40 0 -G_0 := Group; +G_14_18_40_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 > // 14 18 48 0 -G_0 := Group; +G_14_18_48_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 > // 14 18 54 0 2 -G_0 := Group; -G_2 := Group; +G_14_18_54_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 > +G_14_18_54_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 > // 14 24 40 0 -G_0 := Group; +G_14_24_40_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 > // 14 24 48 0 1 -G_0 := Group; -G_1 := Group; +G_14_24_48_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 > +G_14_24_48_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 > // 14 24 54 0 2 -G_0 := Group; -G_2 := Group; +G_14_24_54_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 > +G_14_24_54_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 > // 14 26 40 0 4 -G_0 := Group; -G_4 := Group; +G_14_26_40_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 > +G_14_26_40_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 > // 14 26 48 0 1 4 5 -G_0 := Group; -G_1 := Group; -G_4 := Group; -G_5 := Group; +G_14_26_48_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 > +G_14_26_48_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 > +G_14_26_48_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 > +G_14_26_48_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 > // 14 26 54 0 2 4 6 -G_0 := Group; -G_2 := Group; -G_4 := Group; -G_6 := Group; +G_14_26_54_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 > +G_14_26_54_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 > +G_14_26_54_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 > +G_14_26_54_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 > // 16 16 40 0 -G_0 := Group; +G_16_16_40_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 > // 16 16 48 0 1 -G_0 := Group; -G_1 := Group; +G_16_16_48_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 > +G_16_16_48_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 > // 16 16 54 0 -G_0 := Group; +G_16_16_54_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 > // 16 18 40 0 -G_0 := Group; +G_16_18_40_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 > // 16 18 48 0 -G_0 := Group; +G_16_18_48_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 > // 16 18 54 0 2 -G_0 := Group; -G_2 := Group; +G_16_18_54_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 > +G_16_18_54_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 > // 16 24 40 0 -G_0 := Group; +G_16_24_40_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 > // 16 24 48 0 1 -G_0 := Group; -G_1 := Group; +G_16_24_48_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 > +G_16_24_48_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 > // 16 24 54 0 2 -G_0 := Group; -G_2 := Group; +G_16_24_54_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 > +G_16_24_54_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 > // 16 26 40 0 -G_0 := Group; +G_16_26_40_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 > // 16 26 48 0 1 -G_0 := Group; -G_1 := Group; +G_16_26_48_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 > +G_16_26_48_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 > // 16 26 54 0 2 -G_0 := Group; -G_2 := Group; +G_16_26_54_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 > +G_16_26_54_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 > // 18 18 40 0 -G_0 := Group; +G_18_18_40_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 > // 18 18 48 0 -G_0 := Group; +G_18_18_48_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 > // 18 18 54 0 -G_0 := Group; +G_18_18_54_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 > // 18 24 40 0 -G_0 := Group; +G_18_24_40_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 > // 18 24 48 0 -G_0 := Group; +G_18_24_48_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 > // 18 24 54 0 2 -G_0 := Group; -G_2 := Group; +G_18_24_54_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 > +G_18_24_54_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 > // 18 26 40 0 -G_0 := Group; +G_18_26_40_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 > // 18 26 48 0 -G_0 := Group; +G_18_26_48_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 > // 18 26 54 0 2 -G_0 := Group; -G_2 := Group; +G_18_26_54_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_18_26_54_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; +G_24_24_40_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; -G_1 := Group; +G_24_24_48_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_24_24_48_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; +G_24_24_54_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; +G_24_26_40_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; -G_1 := Group; +G_24_26_48_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_24_26_48_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; -G_2 := Group; +G_24_26_54_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_24_26_54_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; -G_4 := Group; +G_26_26_40_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_26_26_40_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; -G_1 := Group; -G_4 := Group; -G_5 := Group; +G_26_26_48_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_26_26_48_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_26_26_48_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_26_26_48_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; -G_4 := Group; +G_26_26_54_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_26_26_54_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 > diff --git a/data/presentations_3_4_4.txt b/data/presentations_3_4_4.txt index 4eb85ea..d752673 100644 --- a/data/presentations_3_4_4.txt +++ b/data/presentations_3_4_4.txt @@ -1,84 +1,84 @@ // 14 40 40 0 -G_0 := Group; +G_14_40_40_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; +G_14_40_48_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; -G_2 := Group; +G_14_40_54_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_14_40_54_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; -G_1 := Group; +G_14_48_48_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_14_48_48_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; -G_2 := Group; +G_14_48_54_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_14_48_54_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; -G_2 := Group; -G_8 := Group; +G_14_54_54_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_14_54_54_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_14_54_54_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; +G_16_40_40_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; +G_16_40_48_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; -G_2 := Group; +G_16_40_54_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_16_40_54_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; -G_1 := Group; +G_16_48_48_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_16_48_48_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; -G_2 := Group; +G_16_48_54_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_16_48_54_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; -G_2 := Group; -G_8 := Group; +G_16_54_54_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_16_54_54_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_16_54_54_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; +G_18_40_40_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; +G_18_40_48_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; -G_2 := Group; +G_18_40_54_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_18_40_54_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; +G_18_48_48_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; -G_2 := Group; +G_18_48_54_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_18_48_54_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; -G_2 := Group; -G_8 := Group; +G_18_54_54_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_18_54_54_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_18_54_54_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; +G_24_40_40_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; +G_24_40_48_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; -G_2 := Group; +G_24_40_54_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_24_40_54_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; -G_1 := Group; +G_24_48_48_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_24_48_48_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; -G_2 := Group; +G_24_48_54_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_24_48_54_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; -G_2 := Group; -G_8 := Group; +G_24_54_54_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_24_54_54_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_24_54_54_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; +G_26_40_40_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; +G_26_40_48_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; -G_2 := Group; +G_26_40_54_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_26_40_54_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; -G_1 := Group; +G_26_48_48_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_26_48_48_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; -G_2 := Group; +G_26_48_54_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_26_48_54_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; -G_2 := Group; -G_8 := Group; +G_26_54_54_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_26_54_54_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_26_54_54_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 > diff --git a/data/presentations_4_4_4.txt b/data/presentations_4_4_4.txt index df68da2..779a029 100644 --- a/data/presentations_4_4_4.txt +++ b/data/presentations_4_4_4.txt @@ -1,27 +1,27 @@ // 40 40 40 0 -G_0 := Group; +G_40_40_40_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; +G_40_40_48_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; +G_40_40_54_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; +G_40_48_48_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; -G_2 := Group; +G_40_48_54_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_40_48_54_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; -G_2 := Group; -G_8 := Group; +G_40_54_54_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_40_54_54_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_40_54_54_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; -G_1 := Group; +G_48_48_48_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_48_48_48_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; +G_48_48_54_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; -G_2 := Group; -G_8 := Group; +G_48_54_54_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_48_54_54_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_48_54_54_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; -G_2 := Group; +G_54_54_54_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_54_54_54_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 > diff --git a/src/groupparse.jl b/src/groupparse.jl index 4f39a46..bb0c6c6 100644 --- a/src/groupparse.jl +++ b/src/groupparse.jl @@ -1,17 +1,39 @@ -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) +comm(a,b) = inv(a)*inv(b)*a*b +comm(a,b,args...) = comm(comm(a,b), args...) + +const MAGMA_PRESENTATION_regex = r"Group<\s?(?.*)\s?\|\s?(?.*)\s?>" +const COMMUTATOR_regex = r"\((?[\w](\s?,\s?[\w]){1+})\)" +iscomment(line) = startswith(line, "//") +ismagma_presentation(line) = (m = match(MAGMA_PRESENTATION_regex, line); return !isnothing(m), m) + +function parse_magma_fpgroup(str::AbstractString) + m = match(MAGMA_PRESENTATION_regex, str) + gens_str = strip.(split(m[:gens], ",")) + rels_str = m[:rels] + split_indices = [0] + in_function_call=0 + for (i,s) in enumerate(rels_str) + if s == '(' + in_function_call += 1 + elseif s == ')' + @assert in_function_call > 0 + in_function_call -= 1 + elseif s == ',' && iszero(in_function_call) + push!(split_indices, i) + end + end + @assert in_function_call == 0 + push!(split_indices, length(rels_str)+1) + + rels_strs = [strip.(String(rels_str[s+1:e-1])) for (s,e) in zip(split_indices, Iterators.rest(split_indices, 2))] + + # rels_strs = replace.(rels_strs, COMMUTATOR_regex=> s"comm(\g)") + # @show rels_strs + + return parse_magma_fpgroup(gens_str, rels_strs) 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}) +function parse_magma_fpgroup(gens_str::AbstractVector{<:AbstractString}, rels_str::AbstractVector{<:AbstractString}) rels_expr = Meta.parse.(rels_str) expr = :([$(rels_expr...)]) @@ -25,25 +47,24 @@ function parse_magma_grouppresentation(gens_str::AbstractVector{<:AbstractString end function parse_grouppresentations(filename::AbstractString) - groups_strs = readlines(filename) + lines = strip.(readlines(filename)) groups = Dict{String, FPGroup}() - - names_idcs = findall(x->startswith(x, "//"), groups_strs) - push!(names_idcs, length(groups_strs)+1) - - for (first_idx, next_idx) in zip(names_idcs, Iterators.rest(names_idcs, 2)) - - m = match(r"//\s?((\d{2}\s?){3}).*", groups_strs[first_idx]) - name = replace(strip(m.captures[1]), " "=>"_") - for idx in first_idx+1:next_idx-1 - m = match(r"G((_\d\d){3})?_(\d+)\s:=\sGroup<(.*)\|(.*)>", groups_strs[idx]) - if isnothing(m) - @warn "Can't parse presentation at line $idx:\n $(groups_strs[idx])" - else - group_name = "$(name)_$(m.captures[3])" - G = parse_magma_grouppresentation(m.captures[4], m.captures[5]) - groups[group_name] = G + group_regex = r"(?\w.*)\s?:=\s?(?Group.*)" + for line in lines + isempty(line) && continue + iscomment(line) && continue + m = match(group_regex, line) + if isnothing(m) + @warn "Can't parse presentation line\n $line" + continue + else + name = strip(m[:name]) + group_str = m[:group_str] + G = parse_magma_fpgroup(group_str) + if startswith(name, "G_") + name = name[3:end] end + groups[name] = G end end return groups