Magma V2.19-8 Tue Aug 20 2013 23:44:06 on localhost [Seed = 1174414249] Type ? for help. Type -D to quit. Loading file "L14n18534__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n18534 geometric_solution 10.06358711 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 1 1 1 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 -1 15 -14 0 0 0 0 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.544159720227 1.338148761036 0 5 7 6 0132 0132 0132 0132 1 1 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 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 0.457948305868 0.467036407104 8 0 9 4 0132 0132 0132 1230 1 0 1 1 0 0 0 0 -1 0 1 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 1 0 -1 2 0 -3 1 0 1 0 -1 -15 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.307376946913 0.569272034618 6 10 6 0 0132 0132 2310 0132 1 1 1 1 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 0 0 0 0 0 0 15 0 -15 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 0.443598048445 0.434851073515 2 7 0 10 3012 1230 0132 2310 1 1 0 1 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 14 -14 1 0 0 -1 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.340507235324 0.830228617429 5 1 8 5 3201 0132 2310 2310 1 1 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 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 0.420888418116 0.971046148170 3 3 1 9 0132 3201 0132 2031 1 1 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 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 1.115752641345 0.872006707579 10 8 4 1 2031 3201 3012 0132 1 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 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 0.543032095169 0.557651007325 2 5 7 9 0132 3201 2310 0132 1 0 1 1 0 0 0 0 1 0 0 -1 -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 -2 0 0 2 15 0 0 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.903176362293 1.147751374666 10 6 8 2 3120 1302 0132 0132 1 0 1 1 0 0 0 0 0 0 1 -1 -1 0 0 1 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 -2 3 14 0 0 -14 -15 0 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.115752641345 0.872006707579 4 3 7 9 3201 0132 1302 3120 1 0 1 1 0 1 0 -1 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 -15 0 15 -1 0 0 1 14 0 0 -14 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.850409042082 1.126923041942 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_1'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_4']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_9']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_3'], 'c_1001_8' : negation(d['c_0101_5']), 'c_1010_10' : negation(d['c_0011_9']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0011_7']), 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(d['1']), 's_2_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0011_7'], 'c_1100_8' : d['c_0011_7'], 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : d['c_0011_10'], 'c_1100_7' : negation(d['c_1001_2']), 'c_1100_6' : negation(d['c_1001_2']), 'c_1100_1' : negation(d['c_1001_2']), 'c_1100_0' : d['c_0011_10'], 'c_1100_3' : d['c_0011_10'], 'c_1100_2' : d['c_0011_7'], 'c_1100_10' : negation(d['c_0101_2']), 'c_1010_7' : d['c_0101_5'], 'c_1010_6' : d['c_0011_9'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0101_3'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_10'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_2'], 'c_0101_7' : negation(d['c_0101_2']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_2'], 'c_0101_8' : d['c_0011_4'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : d['c_0011_7'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_3']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0011_7, c_0011_9, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_5, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 35270058152/225259*c_1001_2^6 + 33706569765/225259*c_1001_2^5 + 85064561557/225259*c_1001_2^4 - 144311399292/225259*c_1001_2^3 + 94601604357/225259*c_1001_2^2 - 54522429663/225259*c_1001_2 + 26038298392/225259, c_0011_0 - 1, c_0011_10 - 5104/2531*c_1001_2^6 - 1138/2531*c_1001_2^5 + 13568/2531*c_1001_2^4 - 2973/2531*c_1001_2^3 + 2071/2531*c_1001_2^2 - 7702/2531*c_1001_2 + 1109/2531, c_0011_4 + 42968/2531*c_1001_2^6 - 33899/2531*c_1001_2^5 - 103995/2531*c_1001_2^4 + 158350/2531*c_1001_2^3 - 100922/2531*c_1001_2^2 + 59928/2531*c_1001_2 - 26946/2531, c_0011_7 + 14440/2531*c_1001_2^6 - 7317/2531*c_1001_2^5 - 35006/2531*c_1001_2^4 + 44095/2531*c_1001_2^3 - 26008/2531*c_1001_2^2 + 13491/2531*c_1001_2 - 5371/2531, c_0011_9 + 648/2531*c_1001_2^6 + 1287/2531*c_1001_2^5 + 2546/2531*c_1001_2^4 - 412/2531*c_1001_2^3 - 8812/2531*c_1001_2^2 + 3128/2531*c_1001_2 - 478/2531, c_0101_0 + 8872/2531*c_1001_2^6 - 4877/2531*c_1001_2^5 - 18824/2531*c_1001_2^4 + 26356/2531*c_1001_2^3 - 26970/2531*c_1001_2^2 + 13142/2531*c_1001_2 - 1170/2531, c_0101_1 - c_1001_2, c_0101_2 - 1, c_0101_3 - 5104/2531*c_1001_2^6 - 1138/2531*c_1001_2^5 + 13568/2531*c_1001_2^4 - 2973/2531*c_1001_2^3 + 2071/2531*c_1001_2^2 - 7702/2531*c_1001_2 + 1109/2531, c_0101_5 + 5512/2531*c_1001_2^6 - 4801/2531*c_1001_2^5 - 14121/2531*c_1001_2^4 + 21368/2531*c_1001_2^3 - 10619/2531*c_1001_2^2 + 6953/2531*c_1001_2 - 3566/2531, c_1001_2^7 - 9/8*c_1001_2^6 - 9/4*c_1001_2^5 + 9/2*c_1001_2^4 - 27/8*c_1001_2^3 + 2*c_1001_2^2 - c_1001_2 + 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB