Magma V2.19-8 Tue Aug 20 2013 16:14:20 on localhost [Seed = 2294879403] 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' : 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' : 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 + 3594919/188695*c_0101_4^10 + 1665038/37739*c_0101_4^9 - 902154/188695*c_0101_4^8 - 32462958/188695*c_0101_4^7 - 46105874/188695*c_0101_4^6 + 2973358/188695*c_0101_4^5 + 82663951/188695*c_0101_4^4 + 14450024/37739*c_0101_4^3 - 13264634/37739*c_0101_4^2 - 30479207/188695*c_0101_4 + 11597453/188695, c_0011_0 - 1, c_0011_4 + 496/2903*c_0101_4^10 + 1381/2903*c_0101_4^9 + 312/2903*c_0101_4^8 - 4828/2903*c_0101_4^7 - 9004/2903*c_0101_4^6 - 2498/2903*c_0101_4^5 + 12387/2903*c_0101_4^4 + 16672/2903*c_0101_4^3 - 4756/2903*c_0101_4^2 - 8519/2903*c_0101_4 + 819/2903, c_0101_0 + 1521/2903*c_0101_4^10 + 2719/2903*c_0101_4^9 - 2274/2903*c_0101_4^8 - 13939/2903*c_0101_4^7 - 12979/2903*c_0101_4^6 + 11619/2903*c_0101_4^5 + 37394/2903*c_0101_4^4 + 15821/2903*c_0101_4^3 - 44387/2903*c_0101_4^2 - 5516/2903*c_0101_4 + 7820/2903, c_0101_1 - 7330/2903*c_0101_4^10 - 15785/2903*c_0101_4^9 + 4941/2903*c_0101_4^8 + 67463/2903*c_0101_4^7 + 85070/2903*c_0101_4^6 - 23649/2903*c_0101_4^5 - 177287/2903*c_0101_4^4 - 129888/2903*c_0101_4^3 + 160606/2903*c_0101_4^2 + 56212/2903*c_0101_4 - 27309/2903, c_0101_2 + 885/2903*c_0101_4^10 + 2189/2903*c_0101_4^9 - 52/2903*c_0101_4^8 - 8872/2903*c_0101_4^7 - 13982/2903*c_0101_4^6 - 1519/2903*c_0101_4^5 + 22611/2903*c_0101_4^4 + 24316/2903*c_0101_4^3 - 11787/2903*c_0101_4^2 - 10676/2903*c_0101_4 + 1315/2903, c_0101_4^11 + 2*c_0101_4^10 - c_0101_4^9 - 9*c_0101_4^8 - 10*c_0101_4^7 + 5*c_0101_4^6 + 23*c_0101_4^5 + 13*c_0101_4^4 - 25*c_0101_4^3 - 3*c_0101_4^2 + 6*c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.210 seconds, Total memory usage: 32.09MB