Magma V2.19-8 Tue Aug 20 2013 18:44:49 on localhost [Seed = 3987492567] Type ? for help. Type -D to quit. Loading file "11_129__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_129 geometric_solution 13.64209587 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 15 1 2 2 3 0132 0132 1023 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 -1 1 10 -10 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.058319154706 0.718522434235 0 4 5 2 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 -10 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.730831446388 1.081767093549 3 0 0 1 1023 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 1 -1 1 -1 0 0 -11 10 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.058319154706 0.718522434235 6 2 0 7 0132 1023 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 -1 0 1 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.730831446388 1.081767093549 6 1 8 9 1023 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 -10 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.119391840133 0.651228573895 6 10 7 1 3120 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.592619325380 0.639436069839 3 4 11 5 0132 1023 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 11 0 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.592619325380 0.639436069839 12 8 3 5 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.119391840133 0.651228573895 11 7 10 4 1023 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.786311770716 0.271612445211 12 10 4 13 2310 0213 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 1 0 0 -1 0 0 0 0 10 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.450449549078 0.585459121657 14 5 9 8 0132 0132 0213 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.860142413133 0.527439594707 12 8 13 6 3120 1023 1302 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 -10 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.860142413133 0.527439594707 7 14 9 11 0132 2103 3201 3120 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -10 10 0 0 0 0 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.450449549078 0.585459121657 11 14 9 14 2031 0321 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 1 -1 -10 11 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.450449549078 0.585459121657 10 12 13 13 0132 2103 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 1 -1 11 0 0 -11 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.852322667501 0.908015050203 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_14' : d['c_0011_11'], 'c_1001_11' : d['c_0101_14'], 'c_1001_10' : d['c_1001_1'], 'c_1001_13' : d['c_1001_13'], 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0110_2'], 'c_1001_7' : d['c_0110_2'], 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_0'], 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : d['c_1001_5'], 'c_1010_13' : d['c_0011_11'], 'c_1010_12' : negation(d['c_0011_11']), 'c_1010_11' : d['c_0101_4'], 'c_1010_10' : d['c_1001_5'], 'c_1010_14' : d['c_0011_11'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_3_13' : d['1'], 's_3_12' : d['1'], 's_0_14' : d['1'], 's_3_14' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_13']), 'c_0101_10' : negation(d['c_0011_13']), 'c_0101_14' : d['c_0101_14'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_2_14' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_14' : negation(d['c_0011_10']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1001_13'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_1001_13'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : negation(d['c_0101_12']), 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1100_0']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_12']), 'c_1100_10' : d['c_1001_13'], 'c_1100_13' : d['c_1001_13'], 's_3_10' : d['1'], 's_0_12' : d['1'], 'c_1010_7' : d['c_1001_5'], 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_0110_2'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0110_2'], 'c_1100_14' : d['c_1001_13'], 'c_1010_9' : d['c_1001_13'], 'c_1010_8' : d['c_0110_2'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_13'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_13']), 'c_0011_8' : d['c_0011_11'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_6'], 'c_0110_10' : d['c_0101_14'], 'c_0110_13' : d['c_0101_14'], 'c_0110_12' : d['c_0101_6'], 'c_0110_14' : negation(d['c_0011_13']), 's_0_13' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_1010_0' : d['c_0101_0'], 's_0_8' : d['1'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_12'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : d['c_0101_14'], 'c_0011_10' : d['c_0011_10'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_12']), 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1001_13'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_10'], 'c_0110_7' : d['c_0101_12'], 'c_0110_6' : d['c_0101_1'], 'c_0101_13' : negation(d['c_0101_12'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 16 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_13, c_0101_0, c_0101_1, c_0101_12, c_0101_14, c_0101_4, c_0101_6, c_0110_2, c_1001_1, c_1001_13, c_1001_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 25216/1625*c_1001_5^3 + 24992/1625*c_1001_5^2 + 50368/1625*c_1001_5 + 28528/1625, c_0011_0 - 1, c_0011_10 - c_1001_5^3 - c_1001_5^2 - 3/2*c_1001_5 - 3/2, c_0011_11 - c_1001_5^3 - c_1001_5^2 - 3/2*c_1001_5 - 3/2, c_0011_13 - c_1001_5, c_0101_0 + c_1001_5^3 + 2*c_1001_5^2 + 5/2*c_1001_5 + 2, c_0101_1 + c_1001_5^3 + c_1001_5^2 + 5/2*c_1001_5 + 3/2, c_0101_12 - c_1001_5^3 - c_1001_5^2 - 3/2*c_1001_5 - 3/2, c_0101_14 - c_1001_5^3 - c_1001_5^2 - 1/2*c_1001_5 - 3/2, c_0101_4 - c_1001_5, c_0101_6 - c_1001_5^3 - c_1001_5^2 - 5/2*c_1001_5 - 3/2, c_0110_2 + c_1001_5^3 + c_1001_5^2 + 5/2*c_1001_5 + 3/2, c_1001_1 - c_1001_5^3 - c_1001_5^2 - 5/2*c_1001_5 - 3/2, c_1001_13 + c_1001_5^3 + c_1001_5^2 + 3/2*c_1001_5 + 3/2, c_1001_5^4 + 2*c_1001_5^3 + 3*c_1001_5^2 + 3*c_1001_5 + 5/4, c_1100_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 108.340 Total time: 108.549 seconds, Total memory usage: 841.66MB