Magma V2.19-8 Tue Aug 20 2013 23:44:15 on localhost [Seed = 1814694287] Type ? for help. Type -D to quit. Loading file "L14n24645__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24645 geometric_solution 9.84296570 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 1 0132 0132 0132 2031 0 0 1 0 0 1 1 -2 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 -2 -3 5 0 0 0 0 0 1 0 -1 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.777949487294 0.745658541711 0 0 5 4 0132 1302 0132 0132 0 0 0 1 0 0 0 0 0 0 0 0 -1 2 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 3 -5 0 2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.330053906315 0.642138127734 6 0 6 7 0132 0132 3012 0132 0 0 0 1 0 -1 1 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 2 -2 0 0 0 0 0 0 -3 0 3 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.366835801175 1.231855964745 5 5 7 0 1302 3012 1302 0132 0 0 0 1 0 0 1 -1 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 -3 3 0 0 0 0 0 0 0 0 8 -7 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.330053906315 0.642138127734 5 8 1 8 2310 0132 0132 2310 0 0 0 0 0 -1 0 1 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 2 0 -2 0 0 0 0 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.095599902581 2.499669579731 3 3 4 1 1230 2031 3201 0132 0 0 1 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 7 -8 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.330053906315 0.642138127734 2 2 9 10 0132 1230 0132 0132 0 0 1 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 -1 0 0 1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.330053906315 0.642138127734 3 10 2 10 2031 0132 0132 1230 0 0 1 0 0 0 0 0 -1 0 0 1 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 3 0 0 -3 1 -1 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.366835801175 1.231855964745 4 4 9 9 3201 0132 1023 2310 0 0 0 0 0 1 0 -1 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 -2 0 2 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.196956970554 0.234933847440 8 10 8 6 3201 2310 1023 0132 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 0 0 0 0 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.095599902581 2.499669579731 7 7 6 9 3012 0132 0132 3201 0 0 0 1 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 3 -3 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.330053906315 0.642138127734 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_10'], 'c_1001_5' : negation(d['c_0101_0']), 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_7' : negation(d['c_0101_5']), 'c_1001_6' : negation(d['c_0110_10']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0101_5']), 'c_1001_3' : d['c_0011_10'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : d['c_0101_9'], 'c_1010_10' : negation(d['c_0101_5']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0011_9']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_7' : d['c_0110_10'], 'c_1100_6' : negation(d['c_0011_9']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_6'], 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : d['c_0110_10'], 'c_1100_10' : negation(d['c_0011_9']), 'c_1010_7' : d['c_0101_10'], 'c_1010_6' : d['c_0101_10'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0101_9'], 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0101_5']), 'c_1010_1' : negation(d['c_0101_6']), 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0110_10']), 'c_1010_8' : negation(d['c_0101_6']), 'c_1100_8' : d['c_0011_9'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(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'], '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' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0110_10'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_10'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_5'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_6'], 'c_0110_8' : negation(d['c_0101_9']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : negation(d['c_0101_5']), 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : d['c_0101_10']})} 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_3, c_0011_4, c_0011_9, c_0101_0, c_0101_10, c_0101_5, c_0101_6, c_0101_9, c_0110_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 71/50*c_0110_10^3 + 5539/4400*c_0110_10^2 + 599/400*c_0110_10 - 577/4400, c_0011_0 - 1, c_0011_10 + 1, c_0011_3 - 33/25*c_0110_10^3 - 13/50*c_0110_10^2 - 73/50*c_0110_10 - 1/50, c_0011_4 - 11/10*c_0110_10^3 - 2/5*c_0110_10^2 - c_0110_10 - 7/10, c_0011_9 - 11/10*c_0110_10^2 + 3/10*c_0110_10 - 1/10, c_0101_0 - 1, c_0101_10 + 11/50*c_0110_10^3 - 7/50*c_0110_10^2 + 73/50*c_0110_10 + 8/25, c_0101_5 + 11/50*c_0110_10^3 - 7/50*c_0110_10^2 + 23/50*c_0110_10 + 8/25, c_0101_6 + 11/50*c_0110_10^3 - 7/50*c_0110_10^2 + 23/50*c_0110_10 + 8/25, c_0101_9 - 11/10*c_0110_10^3 + 7/10*c_0110_10^2 - 3/10*c_0110_10 + 2/5, c_0110_10^4 + 4/11*c_0110_10^3 + c_0110_10^2 + 4/11*c_0110_10 + 1 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_9, c_0101_0, c_0101_10, c_0101_5, c_0101_6, c_0101_9, c_0110_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 4347/704*c_0101_9^4 - 855/88*c_0101_9^3 - 1715/176*c_0101_9^2 + 376/11*c_0101_9 - 4333/176, c_0011_0 - 1, c_0011_10 + 1, c_0011_3 + 49/44*c_0101_9^4 - 7/11*c_0101_9^3 - 67/44*c_0101_9^2 + 14/11*c_0101_9 + 27/22, c_0011_4 + 7/8*c_0101_9^4 - 3/8*c_0101_9^3 - c_0101_9^2 + 3/4*c_0101_9 + 1/2, c_0011_9 - 7/8*c_0101_9^4 + 3/8*c_0101_9^3 + c_0101_9^2 - 3/4*c_0101_9 - 1/2, c_0101_0 - 1, c_0101_10 + 49/44*c_0101_9^4 - 7/11*c_0101_9^3 - 67/44*c_0101_9^2 + 14/11*c_0101_9 + 27/22, c_0101_5 - 21/88*c_0101_9^4 + 23/88*c_0101_9^3 + 23/44*c_0101_9^2 - 23/44*c_0101_9 + 3/11, c_0101_6 - 21/88*c_0101_9^4 + 23/88*c_0101_9^3 + 23/44*c_0101_9^2 - 23/44*c_0101_9 + 3/11, c_0101_9^5 - 17/7*c_0101_9^4 + 12/7*c_0101_9^3 + 4/7*c_0101_9^2 - 4/7*c_0101_9 - 4/7, c_0110_10 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB