Magma V2.19-8 Wed Aug 21 2013 01:08:07 on localhost [Seed = 4055361735] Type ? for help. Type -D to quit. Loading file "L14n38544__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n38544 geometric_solution 11.98502465 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 1 1 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 1 0 -1 0 0 -1 1 0 -1 0 1 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.756969565878 0.798714199947 0 5 7 6 0132 0132 0132 0132 1 0 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 1 -2 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 0.592535023261 0.786970248111 6 0 9 8 1302 0132 0132 0132 0 1 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 0 0 0 -1 0 1 0 0 0 0 2 -2 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.785086155587 0.684652998814 7 9 8 0 1302 0132 2031 0132 0 0 1 1 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 -1 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 0.279501184414 0.773734837049 5 8 0 10 2103 2031 0132 0132 0 0 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 -2 1 1 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 0.533568652650 0.717878656245 11 1 4 12 0132 0132 2103 0132 1 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 0 0 0 -1 0 1 1 0 -1 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 0.592535023261 0.786970248111 12 2 1 10 0132 2031 0132 2031 1 0 1 1 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 -2 2 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 -0.214913844413 0.684652998814 11 3 10 1 3120 2031 2031 0132 1 0 1 0 0 1 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 0 0 0 0 0 1 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 0 0 0 0 0.333076925517 0.897297542033 4 11 2 3 1302 0213 0132 1302 0 1 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 -1 1 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 0.587017205246 1.143248019047 12 3 11 2 1230 0132 0213 0132 0 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 0.276491641180 0.630952620943 12 6 4 7 3120 1302 0132 1302 0 0 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 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 1.434133506357 0.518941364779 5 9 8 7 0132 0213 0213 3120 0 0 1 1 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 -1 0 2 -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 0.756969565878 0.798714199947 6 9 5 10 0132 3012 0132 3120 1 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 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 -0.214913844413 0.684652998814 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : d['c_0011_8'], 'c_1001_12' : d['c_0011_3'], 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0110_8']), 'c_1001_7' : negation(d['c_0101_0']), 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0110_8']), 'c_1001_2' : negation(d['c_0110_8']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0011_0'], 'c_1010_11' : negation(d['c_0011_7']), 'c_1010_10' : d['c_1010_10'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_8'], 'c_0101_10' : d['c_0101_10'], '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_10' : d['1'], 's_2_11' : 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' : 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_11' : negation(d['c_0011_0']), 'c_0011_10' : negation(d['c_0011_0']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_10']), 'c_1100_4' : d['c_0101_7'], 'c_1100_7' : negation(d['c_1010_10']), 'c_1100_6' : negation(d['c_1010_10']), 'c_1100_1' : negation(d['c_1010_10']), 'c_1100_0' : d['c_0101_7'], 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : negation(d['c_0011_7']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_7']), 'c_1100_10' : d['c_0101_7'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_3'], 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0011_8'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_4'], 'c_1010_0' : negation(d['c_0110_8']), 'c_1010_9' : negation(d['c_0110_8']), 'c_1010_8' : negation(d['c_0101_7']), 'c_1100_8' : negation(d['c_0011_7']), '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' : negation(d['c_0101_10']), '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_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_12']), '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_11' : d['c_0101_1'], 'c_0110_10' : d['c_0101_0'], 'c_0110_12' : d['c_0101_0'], 'c_0101_12' : d['c_0011_8'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_7']), 'c_0101_2' : d['c_0011_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_0']), 'c_0101_8' : negation(d['c_0011_4']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_12'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_7']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0011_8'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0011_8']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_12, c_0011_3, c_0011_4, c_0011_7, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_7, c_0110_8, c_1001_0, c_1010_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 131017/84035*c_1010_10^6 + 14513/24010*c_1010_10^5 - 81912/84035*c_1010_10^4 - 68136/84035*c_1010_10^3 - 235617/24010*c_1010_10^2 - 26115/4802*c_1010_10 - 1003267/168070, c_0011_0 - 1, c_0011_12 + 3/13*c_1010_10^6 + 9/65*c_1010_10^5 - 7/65*c_1010_10^4 + 7/65*c_1010_10^3 + 109/65*c_1010_10^2 + 138/65*c_1010_10 + 48/65, c_0011_3 + 24/65*c_1010_10^6 - 22/65*c_1010_10^5 + 7/65*c_1010_10^4 + 19/65*c_1010_10^3 + 138/65*c_1010_10^2 + 18/65*c_1010_10 - 7/13, c_0011_4 - 24/65*c_1010_10^6 + 22/65*c_1010_10^5 - 7/65*c_1010_10^4 - 19/65*c_1010_10^3 - 138/65*c_1010_10^2 - 18/65*c_1010_10 + 7/13, c_0011_7 + 2/5*c_1010_10^6 - 4/5*c_1010_10^5 + c_1010_10^4 - 2/5*c_1010_10^3 + 11/5*c_1010_10^2 - 7/5*c_1010_10 + 9/5, c_0011_8 - 1, c_0101_0 - 1, c_0101_1 - 1/5*c_1010_10^6 + 1/5*c_1010_10^4 - 2*c_1010_10^2 - 3/5*c_1010_10 - 1/5, c_0101_10 - c_1010_10, c_0101_7 + c_1010_10^2 - 1, c_0110_8 + 2/5*c_1010_10^6 - 4/5*c_1010_10^5 + c_1010_10^4 - 2/5*c_1010_10^3 + 11/5*c_1010_10^2 - 7/5*c_1010_10 + 9/5, c_1001_0 + 2/5*c_1010_10^6 - 3/5*c_1010_10^5 + 2/5*c_1010_10^4 + 1/5*c_1010_10^3 + 7/5*c_1010_10^2 - c_1010_10 - 4/5, c_1010_10^7 - c_1010_10^6 + c_1010_10^5 + 6*c_1010_10^3 + 2*c_1010_10 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.120 Total time: 0.330 seconds, Total memory usage: 32.09MB