Magma V2.19-8 Tue Aug 20 2013 16:14:20 on localhost [Seed = 2210537376] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s321 geometric_solution 4.50328417 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 0 1 0 0132 2310 1023 3201 0 0 0 0 0 1 -1 0 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 -1 0 1 0 0 -1 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.746032259561 0.162713753154 0 2 0 2 0132 0132 1023 1023 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 0 0 0 0 0 0 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 0.720176950552 0.435114302877 3 1 4 1 0132 0132 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.015731087524 0.734150791970 2 4 4 5 0132 1230 0213 0132 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 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 0.675761258676 0.649056857928 5 3 3 2 0132 0213 3012 0132 0 0 0 0 0 -1 0 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 -1 0 0 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 0.675761258676 0.649056857928 4 5 3 5 0132 2310 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 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 0.839982468993 0.450874551372 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(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' : d['1'], 's_2_5' : 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' : negation(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_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], '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' : d['c_0011_0'], 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : d['c_0011_0'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_4'], 'c_1010_0' : negation(d['c_0101_1'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 166485/7859*c_0101_4^10 - 57208/7859*c_0101_4^9 - 523448/7859*c_0101_4^8 + 1316668/7859*c_0101_4^7 - 562758/7859*c_0101_4^6 + 2002732/7859*c_0101_4^5 - 1165413/7859*c_0101_4^4 + 167104/7859*c_0101_4^3 + 184400/7859*c_0101_4^2 - 1391609/7859*c_0101_4 + 502279/7859, c_0011_0 - 1, c_0011_4 - 1998/7859*c_0101_4^10 - 1245/7859*c_0101_4^9 - 7230/7859*c_0101_4^8 + 12698/7859*c_0101_4^7 - 4760/7859*c_0101_4^6 + 25604/7859*c_0101_4^5 + 89/7859*c_0101_4^4 + 3772/7859*c_0101_4^3 + 3546/7859*c_0101_4^2 - 23419/7859*c_0101_4 + 2127/7859, c_0101_0 - 4925/7859*c_0101_4^10 + 129/7859*c_0101_4^9 - 14022/7859*c_0101_4^8 + 44721/7859*c_0101_4^7 - 28765/7859*c_0101_4^6 + 59329/7859*c_0101_4^5 - 51462/7859*c_0101_4^4 + 12657/7859*c_0101_4^3 + 2227/7859*c_0101_4^2 - 46678/7859*c_0101_4 + 21728/7859, c_0101_1 + 10200/7859*c_0101_4^10 + 4161/7859*c_0101_4^9 + 32591/7859*c_0101_4^8 - 79575/7859*c_0101_4^7 + 28218/7859*c_0101_4^6 - 126345/7859*c_0101_4^5 + 68483/7859*c_0101_4^4 - 1320/7859*c_0101_4^3 - 6208/7859*c_0101_4^2 + 85902/7859*c_0101_4 - 28205/7859, c_0101_2 - 3243/7859*c_0101_4^10 - 2481/7859*c_0101_4^9 - 12514/7859*c_0101_4^8 + 19926/7859*c_0101_4^7 - 5130/7859*c_0101_4^6 + 47671/7859*c_0101_4^5 - 2133/7859*c_0101_4^4 + 5320/7859*c_0101_4^3 - 1891/7859*c_0101_4^2 - 33280/7859*c_0101_4 + 4125/7859, c_0101_4^11 + 3*c_0101_4^9 - 9*c_0101_4^8 + 6*c_0101_4^7 - 13*c_0101_4^6 + 11*c_0101_4^5 - 3*c_0101_4^4 - c_0101_4^3 + 9*c_0101_4^2 - 6*c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB