Magma V2.19-8 Tue Aug 20 2013 16:18:44 on localhost [Seed = 3667609518] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2893 geometric_solution 6.10266549 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.389277520721 0.343443410729 2 0 3 0 0132 2310 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.166227343334 0.930974735355 1 4 5 6 0132 0132 0132 0132 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 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 0.598759879906 0.402014015598 6 5 4 1 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 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 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 0.598759879906 0.402014015598 4 2 4 3 2031 0132 1302 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 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 -1 1 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.842642129462 0.896932472891 5 3 5 2 2031 0132 1302 0132 0 0 0 0 0 0 0 0 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 0 0 0 0 0 1 -1 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.856257972153 0.665778722402 3 6 2 6 0132 1302 0132 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 -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 0.649949675832 0.554635546427 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : 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_0_6' : 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_6' : d['c_0011_3'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : negation(d['c_0011_1']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : d['c_1001_2'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_3, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 1/2, c_0011_0 - 1, c_0011_1 - 1, c_0011_3 - 1, c_0101_0 + c_0101_3, c_0101_1 + 1, c_0101_3^2 - 2, c_1001_2 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_3, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t + 943845377/2116376*c_1001_2^10 + 1199492927/2116376*c_1001_2^9 + 1269489801/2116376*c_1001_2^8 + 3004319935/1058188*c_1001_2^7 + 911618847/264547*c_1001_2^6 - 1168034960/264547*c_1001_2^5 + 4087000991/2116376*c_1001_2^4 + 13377144191/2116376*c_1001_2^3 - 18087909867/2116376*c_1001_2^2 + 30028250773/2116376*c_1001_2 - 1745769605/529094, c_0011_0 - 1, c_0011_1 + 4937279/264547*c_1001_2^10 + 6255392/264547*c_1001_2^9 + 6603112/264547*c_1001_2^8 + 31382779/264547*c_1001_2^7 + 38003421/264547*c_1001_2^6 - 49139369/264547*c_1001_2^5 + 21428242/264547*c_1001_2^4 + 69967425/264547*c_1001_2^3 - 94847320/264547*c_1001_2^2 + 157314097/264547*c_1001_2 - 36898468/264547, c_0011_3 - 2520357/264547*c_1001_2^10 - 3187291/264547*c_1001_2^9 - 3356219/264547*c_1001_2^8 - 15991625/264547*c_1001_2^7 - 19343731/264547*c_1001_2^6 + 25173238/264547*c_1001_2^5 - 10905373/264547*c_1001_2^4 - 35690427/264547*c_1001_2^3 + 48412663/264547*c_1001_2^2 - 80216725/264547*c_1001_2 + 19059295/264547, c_0101_0 + 10696509/1058188*c_0101_3*c_1001_2^10 + 13514827/1058188*c_0101_3*c_1001_2^9 + 14227133/1058188*c_0101_3*c_1001_2^8 + 33960227/529094*c_0101_3*c_1001_2^7 + 20522879/264547*c_0101_3*c_1001_2^6 - 26710867/264547*c_0101_3*c_1001_2^5 + 46703619/1058188*c_0101_3*c_1001_2^4 + 152121763/1058188*c_0101_3*c_1001_2^3 - 205911223/1058188*c_0101_3*c_1001_2^2 + 340962473/1058188*c_0101_3*c_1001_2 - 20009053/264547*c_0101_3, c_0101_1 - 1526571/264547*c_1001_2^10 - 1944535/264547*c_1001_2^9 - 2058609/264547*c_1001_2^8 - 9709172/264547*c_1001_2^7 - 11813109/264547*c_1001_2^6 + 15090641/264547*c_1001_2^5 - 6504851/264547*c_1001_2^4 - 21695651/264547*c_1001_2^3 + 29035960/264547*c_1001_2^2 - 48415675/264547*c_1001_2 + 11254545/264547, c_0101_3^2 + 4728821/264547*c_1001_2^10 + 5976690/264547*c_1001_2^9 + 6303608/264547*c_1001_2^8 + 30053354/264547*c_1001_2^7 + 36298291/264547*c_1001_2^6 - 47181439/264547*c_1001_2^5 + 20706189/264547*c_1001_2^4 + 66981871/264547*c_1001_2^3 - 91176586/264547*c_1001_2^2 + 150996418/264547*c_1001_2 - 35783028/264547, c_1001_2^11 + c_1001_2^10 + c_1001_2^9 + 6*c_1001_2^8 + 6*c_1001_2^7 - 12*c_1001_2^6 + 7*c_1001_2^5 + 13*c_1001_2^4 - 23*c_1001_2^3 + 37*c_1001_2^2 - 16*c_1001_2 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB