Magma V2.19-8 Tue Aug 20 2013 23:53:23 on localhost [Seed = 3802433810] Type ? for help. Type -D to quit. Loading file "L13n5890__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n5890 geometric_solution 10.00378453 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 1 2 3 0132 1302 0132 0132 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 0 0 0 0 1 -1 0 0 0 0 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.252186665886 0.753215215613 0 4 5 0 0132 0132 0132 2031 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 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.663803702499 0.668598734596 5 6 7 0 1302 0132 0132 0132 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 0 0 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 -0.138643723190 0.396546346552 8 9 0 8 0132 0132 0132 1023 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 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 -0.020773694548 0.743016458648 10 1 10 6 0132 0132 3012 3120 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 0 0 0 1 0 -1 0 0 0 0 0 2 1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.554355656304 0.455105896272 9 2 6 1 2031 2031 3120 0132 1 0 1 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 -1 0 1 0 0 0 0 1 0 0 -1 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.962982357367 0.668329437043 4 2 5 11 3120 0132 3120 0132 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 -1 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 0 0 0 0.874530225964 0.931561776186 11 8 8 2 1023 0132 1023 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.830828359599 1.735539165331 3 7 7 3 0132 0132 1023 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.925657695546 0.826126727675 11 3 5 10 0132 0132 1302 0132 0 0 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 0 -1 2 0 -2 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 0.099319268032 0.352605236658 4 4 9 11 0132 1230 0132 1023 0 0 1 1 0 -1 0 1 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 0 0 0 0 1 1 -2 -1 0 0 1 -2 3 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.098402988339 1.121723373240 9 7 6 10 0132 1023 0132 1023 0 0 1 1 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 0 0 0 0 0 1 -1 -2 0 0 2 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.258564381586 0.873408512069 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_7'], 'c_1001_10' : d['c_0101_6'], 'c_1001_5' : negation(d['c_0101_0']), 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : d['c_0101_8'], 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : d['c_0011_2'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : d['c_0101_7'], 'c_1001_9' : d['c_0101_1'], 'c_1001_8' : d['c_0101_7'], 'c_1010_11' : negation(d['c_0011_5']), 'c_1010_10' : negation(d['c_0011_5']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], '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_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0101_6']), 'c_1100_4' : negation(d['c_0101_6']), 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : negation(d['c_0101_5']), 'c_1100_1' : negation(d['c_0101_6']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0101_5'], 'c_1100_11' : negation(d['c_0101_5']), 'c_1100_10' : d['c_0101_5'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_7'], 'c_1010_6' : d['c_0101_7'], 'c_1010_5' : d['c_0011_2'], 'c_1010_4' : d['c_0011_2'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_0101_6'], 'c_1010_9' : d['c_0101_6'], 'c_1010_8' : d['c_0101_8'], 'c_1100_8' : negation(d['c_1100_0']), 's_3_1' : 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' : negation(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' : negation(d['c_0011_11']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_11'], 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_11'], 'c_0011_2' : d['c_0011_2'], 'c_0110_11' : negation(d['c_0011_5']), 'c_0110_10' : negation(d['c_0011_5']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_5']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_5']), 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_8'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0011_5']), 'c_0110_6' : d['c_0101_10']})} 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_11, c_0011_2, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_5, c_0101_6, c_0101_7, c_0101_8, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 1318099/128440*c_1100_0^12 + 646049/128440*c_1100_0^11 + 208665/12844*c_1100_0^10 + 859929/128440*c_1100_0^9 - 9327173/128440*c_1100_0^8 + 2617233/128440*c_1100_0^7 + 11850291/128440*c_1100_0^6 + 583461/6760*c_1100_0^5 - 2105388/16055*c_1100_0^4 - 1741729/25688*c_1100_0^3 + 156478/16055*c_1100_0^2 + 8478773/128440*c_1100_0 - 2194539/128440, c_0011_0 - 1, c_0011_11 + 1297/676*c_1100_0^12 - 155/676*c_1100_0^11 - 575/338*c_1100_0^10 - 1035/676*c_1100_0^9 + 7815/676*c_1100_0^8 - 1175/676*c_1100_0^7 - 6853/676*c_1100_0^6 - 11665/676*c_1100_0^5 + 1822/169*c_1100_0^4 - 1609/676*c_1100_0^3 - 344/169*c_1100_0^2 - 4143/676*c_1100_0 + 5373/676, c_0011_2 + c_1100_0, c_0011_5 - 37/676*c_1100_0^12 - 135/676*c_1100_0^11 - 141/338*c_1100_0^10 + 287/676*c_1100_0^9 + 3/676*c_1100_0^8 - 729/676*c_1100_0^7 - 1433/676*c_1100_0^6 + 1801/676*c_1100_0^5 + 955/338*c_1100_0^4 + 1259/676*c_1100_0^3 - 256/169*c_1100_0^2 + 1527/676*c_1100_0 + 929/676, c_0101_0 - 1, c_0101_1 - 253/676*c_1100_0^12 - 37/676*c_1100_0^11 + 59/338*c_1100_0^10 - 29/676*c_1100_0^9 - 1231/676*c_1100_0^8 + 3/676*c_1100_0^7 + 789/676*c_1100_0^6 + 1097/676*c_1100_0^5 + 134/169*c_1100_0^4 + 1657/676*c_1100_0^3 + 378/169*c_1100_0^2 + 411/676*c_1100_0 + 515/676, c_0101_10 - 97/169*c_1100_0^12 - 89/169*c_1100_0^11 + 92/169*c_1100_0^10 + 49/169*c_1100_0^9 - 490/169*c_1100_0^8 - 413/169*c_1100_0^7 + 555/169*c_1100_0^6 + 798/169*c_1100_0^5 + 458/169*c_1100_0^4 + 149/169*c_1100_0^3 + 732/169*c_1100_0^2 + 203/169*c_1100_0 + 138/169, c_0101_5 + 581/338*c_1100_0^12 + 135/169*c_1100_0^11 - 225/169*c_1100_0^10 - 405/338*c_1100_0^9 + 1518/169*c_1100_0^8 + 1289/338*c_1100_0^7 - 1440/169*c_1100_0^6 - 5123/338*c_1100_0^5 - 947/338*c_1100_0^4 - 414/169*c_1100_0^3 - 1342/169*c_1100_0^2 - 1533/338*c_1100_0 - 84/169, c_0101_6 - 253/676*c_1100_0^12 - 37/676*c_1100_0^11 + 59/338*c_1100_0^10 - 29/676*c_1100_0^9 - 1231/676*c_1100_0^8 + 3/676*c_1100_0^7 + 789/676*c_1100_0^6 + 1097/676*c_1100_0^5 + 134/169*c_1100_0^4 + 1657/676*c_1100_0^3 + 378/169*c_1100_0^2 - 265/676*c_1100_0 + 515/676, c_0101_7 + 37/676*c_1100_0^12 + 135/676*c_1100_0^11 + 141/338*c_1100_0^10 - 287/676*c_1100_0^9 - 3/676*c_1100_0^8 + 729/676*c_1100_0^7 + 1433/676*c_1100_0^6 - 1801/676*c_1100_0^5 - 955/338*c_1100_0^4 - 1259/676*c_1100_0^3 + 87/169*c_1100_0^2 - 1527/676*c_1100_0 - 929/676, c_0101_8 + 233/338*c_1100_0^12 - 2/169*c_1100_0^11 - 53/169*c_1100_0^10 - 163/338*c_1100_0^9 + 646/169*c_1100_0^8 - 123/338*c_1100_0^7 - 373/169*c_1100_0^6 - 2051/338*c_1100_0^5 + 501/338*c_1100_0^4 - 422/169*c_1100_0^3 - 238/169*c_1100_0^2 - 965/338*c_1100_0 + 174/169, c_1100_0^13 - c_1100_0^11 - c_1100_0^10 + 6*c_1100_0^9 - 6*c_1100_0^7 - 10*c_1100_0^6 + 5*c_1100_0^5 + c_1100_0^4 - c_1100_0^3 - 3*c_1100_0^2 + 4*c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.280 seconds, Total memory usage: 32.09MB