Magma V2.19-8 Wed Aug 21 2013 00:46:55 on localhost [Seed = 576992805] Type ? for help. Type -D to quit. Loading file "K14n7536__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n7536 geometric_solution 11.92024898 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.713890186830 1.020744221867 0 5 5 3 0132 0132 1302 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.419098136455 0.820581930362 4 0 6 5 0213 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.610233151762 0.774025487931 7 1 8 0 0132 0321 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 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.706969252671 0.666396098827 2 9 0 8 0213 0132 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0.035324262576 0.401435675912 1 1 2 10 2031 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 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.506361428479 0.966529928637 11 7 12 2 0132 1302 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.164835481909 0.856714879196 3 9 9 6 0132 3201 2031 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.466801987319 0.581764033817 12 4 12 3 1023 2310 3201 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.729445464009 0.989855400343 11 4 7 7 2031 0132 2310 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.160961513277 1.045673385769 11 11 5 12 1230 2310 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 0 0 0 0 1 0 0 -1 -2 3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.374948105633 1.433958836216 6 10 9 10 0132 3012 1302 3201 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 0 0 0 0 0 0 2 1 -3 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 0.829322648871 0.652741785106 8 8 10 6 2310 1023 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.018146518614 0.718841663803 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : d['c_0101_10'], 'c_1001_12' : negation(d['c_0101_6']), 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0101_10'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_12' : d['c_0101_3'], 'c_1010_11' : negation(d['c_0101_10']), 'c_1010_10' : negation(d['c_0101_6']), 's_0_10' : d['1'], 's_3_10' : 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_4'], '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' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_10'], 'c_1100_4' : negation(d['c_0011_12']), 'c_1100_7' : negation(d['c_1001_2']), 'c_1100_6' : d['c_1100_10'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : negation(d['c_0011_12']), 'c_1100_3' : negation(d['c_0011_12']), 'c_1100_2' : d['c_1100_10'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_3']), 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_1100_10'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_11']), 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : d['c_0101_10'], 'c_1010_4' : d['c_0011_11'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0101_5'], 'c_1100_8' : negation(d['c_0011_12']), '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_1100_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_4']), 'c_0011_8' : d['c_0011_12'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_11']), '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_6'], 'c_0110_10' : d['c_0011_11'], 'c_0110_12' : d['c_0101_6'], 'c_0101_12' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : negation(d['c_0011_3']), 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : negation(d['c_0101_6']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : negation(d['c_0011_3']), 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0101_5']), 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0011_4']})} 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_10, c_0011_11, c_0011_12, c_0011_3, c_0011_4, c_0101_10, c_0101_3, c_0101_5, c_0101_6, c_1001_0, c_1001_2, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 4045874901/1979452501*c_1001_2*c_1100_10^9 + 7071005094/1979452501*c_1001_2*c_1100_10^8 + 7433107720/1979452501*c_1001_2*c_1100_10^7 + 20606346164/1979452501*c_1001_2*c_1100_10^6 - 7573870/1979452501*c_1001_2*c_1100_10^5 + 12626443081/1979452501*c_1001_2*c_1100_10^4 + 11454573917/1979452501*c_1001_2*c_1100_10^3 + 8896306958/1979452501*c_1001_2*c_1100_10^2 - 4062921892/1979452501*c_1001_2*c_1100_10 - 1377351544/1979452501*c_1001_2 + 4308633391/1979452501*c_1100_10^9 - 2116573079/1979452501*c_1100_10^8 + 6783674938/1979452501*c_1100_10^7 - 3645974684/1979452501*c_1100_10^6 - 7760464889/1979452501*c_1100_10^5 + 319849577/1979452501*c_1100_10^4 - 2008084605/1979452501*c_1100_10^3 - 8248421252/1979452501*c_1100_10^2 - 9488739153/1979452501*c_1100_10 - 1582586697/1979452501, c_0011_0 - 1, c_0011_10 + c_1001_2*c_1100_10^7 + 3*c_1001_2*c_1100_10^5 + 2*c_1001_2*c_1100_10^3 + 2*c_1001_2*c_1100_10 + c_1100_10^9 - c_1100_10^8 + 3*c_1100_10^7 - 3*c_1100_10^6 + 3*c_1100_10^5 - 2*c_1100_10^4 + 4*c_1100_10^3 - 2*c_1100_10^2 + c_1100_10, c_0011_11 - 2*c_1001_2*c_1100_10^9 - 6*c_1001_2*c_1100_10^7 - 5*c_1001_2*c_1100_10^5 - 5*c_1001_2*c_1100_10^3 - c_1001_2 - c_1100_10^9 - 2*c_1100_10^7 - c_1100_10^6 - 3*c_1100_10^4 - c_1100_10^3 - 2*c_1100_10^2 + 3*c_1100_10 - 2, c_0011_12 + c_1001_2*c_1100_10^9 + 3*c_1001_2*c_1100_10^7 + 3*c_1001_2*c_1100_10^5 + 4*c_1001_2*c_1100_10^3 + c_1100_10^9 + 3*c_1100_10^7 + 2*c_1100_10^5 + 2*c_1100_10^3, c_0011_3 + c_1100_10^9 + 3*c_1100_10^7 + 3*c_1100_10^5 + 4*c_1100_10^3 + c_1100_10, c_0011_4 - c_1001_2 - c_1100_10^6 - 3*c_1100_10^4 - 2*c_1100_10^2 - 2, c_0101_10 - c_1100_10^8 - 3*c_1100_10^6 - 2*c_1100_10^4 - 2*c_1100_10^2, c_0101_3 - c_1100_10^9 - 2*c_1100_10^7 - c_1100_10^3 + 3*c_1100_10, c_0101_5 + c_1001_2*c_1100_10 - c_1100_10^9 - 2*c_1100_10^7 + c_1100_10^5 + 2*c_1100_10, c_0101_6 + 2*c_1001_2*c_1100_10^9 + 6*c_1001_2*c_1100_10^7 + 5*c_1001_2*c_1100_10^5 + 5*c_1001_2*c_1100_10^3 + c_1100_10^9 + 2*c_1100_10^7 + c_1100_10^3 - 2*c_1100_10, c_1001_0 + c_1001_2*c_1100_10 - c_1100_10^9 - 3*c_1100_10^7 - 2*c_1100_10^5 - 2*c_1100_10^3, c_1001_2^2 + 2*c_1001_2*c_1100_10^6 + 6*c_1001_2*c_1100_10^4 + 4*c_1001_2*c_1100_10^2 - c_1001_2*c_1100_10 + 4*c_1001_2 + c_1100_10^8 - c_1100_10^7 + 3*c_1100_10^6 - 3*c_1100_10^5 + 3*c_1100_10^4 - 2*c_1100_10^3 + 5*c_1100_10^2 - 2*c_1100_10 + 1, c_1100_10^10 + 3*c_1100_10^8 + 3*c_1100_10^6 + 4*c_1100_10^4 + c_1100_10^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 7.410 Total time: 7.620 seconds, Total memory usage: 64.12MB