Magma V2.19-8 Tue Aug 20 2013 23:56:16 on localhost [Seed = 3769010421] Type ? for help. Type -D to quit. Loading file "L14n15981__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n15981 geometric_solution 11.87510630 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 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 1 -1 0 0 -2 2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.793973871991 0.928341698082 0 5 7 6 0132 0132 0132 0132 0 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 -2 0 2 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 0.588096801455 0.968858237316 8 0 10 9 0132 0132 0132 0132 1 0 1 1 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 0 -1 0 0 0 0 -2 -1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.588096801455 0.968858237316 4 8 11 0 1023 0132 0132 0132 1 1 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 1 -1 1 0 -3 2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.594378122924 0.611071419145 5 3 0 11 0132 1023 0132 3201 1 1 1 1 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 0 0 0 -1 1 0 2 0 -2 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 0.594378122924 0.611071419145 4 1 8 9 0132 0132 1230 1230 0 1 1 1 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 2 -1 -1 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.592711149504 0.725025844381 11 10 1 9 2310 1023 0132 1023 0 1 1 1 0 0 -1 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 0 -2 2 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.399895579964 0.660842772982 9 8 10 1 1230 1230 1023 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.528558429290 1.012636448689 2 3 7 5 0132 0132 3012 3012 1 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 -1 0 0 1 2 0 0 -2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.592711149504 0.725025844381 5 7 2 6 3012 3012 0132 1023 1 0 1 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 0 0 0 0 0 0 0 1 0 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.528558429290 1.012636448689 6 11 7 2 1023 1023 1023 0132 1 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 0 0 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.399895579964 0.660842772982 10 4 6 3 1023 2310 3201 0132 1 1 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 1 0 -1 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.871145706378 1.062647692586 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_0']), 'c_1001_10' : d['c_0101_11'], 'c_1001_5' : d['c_0101_10'], 'c_1001_4' : d['c_0101_3'], 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : d['c_0101_10'], 'c_1001_1' : d['c_0101_8'], 'c_1001_0' : negation(d['c_0011_7']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : d['c_0101_3'], 'c_1001_9' : negation(d['c_0011_7']), 'c_1001_8' : negation(d['c_0011_7']), 'c_1010_11' : negation(d['c_0101_5']), 'c_1010_10' : d['c_0101_3'], 's_3_11' : negation(d['1']), 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(d['1']), 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_10'], 'c_1100_8' : negation(d['c_0101_10']), 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : negation(d['c_0011_10']), 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0011_10']), 'c_1100_3' : negation(d['c_0011_10']), 'c_1100_2' : negation(d['c_1100_1']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : negation(d['c_1100_1']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_8'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0101_8'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0011_7']), 'c_1010_2' : negation(d['c_0011_7']), 'c_1010_1' : d['c_0101_10'], 'c_1010_0' : d['c_0101_3'], 'c_1010_9' : negation(d['c_0101_11']), 'c_1010_8' : negation(d['c_0101_5']), 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(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'], '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' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), '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_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_3'], 'c_0110_10' : d['c_0101_2'], 'c_0110_0' : d['c_0011_9'], 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_9'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_9'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], '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_1100_9' : negation(d['c_1100_1']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0011_9'], 'c_0110_4' : d['c_0101_5'], 'c_0110_7' : d['c_0011_9'], 'c_0110_6' : negation(d['c_0101_11'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_7, c_0011_9, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_3, c_0101_5, c_0101_8, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 1/15, c_0011_0 - 1, c_0011_10 - c_1100_1, c_0011_7 + c_0101_3*c_1100_1 - c_0101_3 + c_1100_1 - 2, c_0011_9 - c_0101_3*c_1100_1 + c_0101_3 - c_1100_1 + 1, c_0101_0 + c_0101_3 - c_1100_1 + 2, c_0101_10 - c_0101_3 - 1, c_0101_11 + c_1100_1 - 1, c_0101_2 + c_0101_3 - c_1100_1 + 1, c_0101_3^2 - c_0101_3*c_1100_1 + 2*c_0101_3 + 3, c_0101_5 + c_1100_1 - 1, c_0101_8 - 1, c_1100_1^2 - c_1100_1 - 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_7, c_0011_9, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_3, c_0101_5, c_0101_8, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 1459891/288384*c_1100_1^6 + 1420855/48064*c_1100_1^5 - 115175/96128*c_1100_1^4 - 1662973/288384*c_1100_1^3 + 2423705/36048*c_1100_1^2 + 852473/24032*c_1100_1 - 1399091/36048, c_0011_0 - 1, c_0011_10 + 217/15020*c_1100_1^6 + 413/15020*c_1100_1^5 - 3333/15020*c_1100_1^4 + 2217/3755*c_1100_1^3 - 3373/15020*c_1100_1^2 - 151/751*c_1100_1 + 3504/3755, c_0011_7 + 307/3755*c_1100_1^6 + 2501/7510*c_1100_1^5 - 6091/7510*c_1100_1^4 + 1541/7510*c_1100_1^3 + 4157/3755*c_1100_1^2 - 1401/1502*c_1100_1 - 2649/3755, c_0011_9 + 307/3755*c_1100_1^6 + 2501/7510*c_1100_1^5 - 6091/7510*c_1100_1^4 + 1541/7510*c_1100_1^3 + 4157/3755*c_1100_1^2 - 1401/1502*c_1100_1 - 2649/3755, c_0101_0 - 569/7510*c_1100_1^6 - 3021/7510*c_1100_1^5 + 1541/7510*c_1100_1^4 - 448/3755*c_1100_1^3 - 4549/7510*c_1100_1^2 + 207/751*c_1100_1 + 1299/3755, c_0101_10 + 73/3004*c_1100_1^6 + 575/3004*c_1100_1^5 + 713/3004*c_1100_1^4 - 353/1502*c_1100_1^3 + 2603/3004*c_1100_1^2 + 1129/1502*c_1100_1 - 344/751, c_0101_11 + c_1100_1 - 1, c_0101_2 + 73/3004*c_1100_1^6 + 575/3004*c_1100_1^5 + 713/3004*c_1100_1^4 - 353/1502*c_1100_1^3 + 2603/3004*c_1100_1^2 + 1129/1502*c_1100_1 - 344/751, c_0101_3 - 569/7510*c_1100_1^6 - 3021/7510*c_1100_1^5 + 1541/7510*c_1100_1^4 - 448/3755*c_1100_1^3 - 4549/7510*c_1100_1^2 + 207/751*c_1100_1 + 1299/3755, c_0101_5 + 1503/15020*c_1100_1^6 + 8917/15020*c_1100_1^5 + 483/15020*c_1100_1^4 - 869/7510*c_1100_1^3 + 22113/15020*c_1100_1^2 + 2217/1502*c_1100_1 - 3019/3755, c_0101_8 - 1, c_1100_1^7 + 5*c_1100_1^6 - 5*c_1100_1^5 + 15*c_1100_1^3 - 4*c_1100_1^2 - 12*c_1100_1 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB