Magma V2.19-8 Tue Aug 20 2013 16:16:15 on localhost [Seed = 1562165664] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0521 geometric_solution 4.53499561 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 3120 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 -1 1 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 1.266240850313 1.135043163795 0 4 5 5 0132 0132 1230 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.562110273550 0.392519117023 3 0 0 4 0213 0132 3120 1230 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 0 0 0 0 1 -1 0 1 0 0 -1 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.266240850313 1.135043163795 2 6 0 6 0213 0132 0132 2310 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.048802057011 1.739432877937 2 1 6 5 3012 0132 1230 2310 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 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 0.658985441360 0.327149113958 4 6 1 1 3201 1230 0132 3012 0 0 0 0 0 -1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.196865069958 0.027183328698 3 3 5 4 3201 0132 3012 3012 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 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 0.178076814134 0.139833932761 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(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' : 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' : negation(d['c_1001_4']), 'c_1100_5' : d['c_0110_5'], 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0110_5'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0101_0']), 'c_0101_6' : d['c_0011_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_3']), '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_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_6' : negation(d['c_0011_5']), 'c_1001_1' : negation(d['c_0110_5']), 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_6' : d['c_0011_5'], 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0101_4'])})} 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_3, c_0011_5, c_0101_0, c_0101_4, c_0110_5, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 265/49*c_1001_4^6 - 808/49*c_1001_4^5 - 342/7*c_1001_4^4 + 577/49*c_1001_4^3 - 2319/49*c_1001_4^2 + 762/49*c_1001_4 - 465/49, c_0011_0 - 1, c_0011_3 + 3/7*c_1001_4^6 + c_1001_4^5 + 19/7*c_1001_4^4 - 30/7*c_1001_4^3 + 20/7*c_1001_4^2 - 18/7*c_1001_4 + 8/7, c_0011_5 - 24/49*c_1001_4^6 - 47/49*c_1001_4^5 - 20/7*c_1001_4^4 + 278/49*c_1001_4^3 - 295/49*c_1001_4^2 + 262/49*c_1001_4 - 110/49, c_0101_0 - 3/7*c_1001_4^6 - c_1001_4^5 - 19/7*c_1001_4^4 + 30/7*c_1001_4^3 - 20/7*c_1001_4^2 + 18/7*c_1001_4 - 8/7, c_0101_4 - 46/49*c_1001_4^6 - 100/49*c_1001_4^5 - 41/7*c_1001_4^4 + 471/49*c_1001_4^3 - 482/49*c_1001_4^2 + 354/49*c_1001_4 - 142/49, c_0110_5 + 8/49*c_1001_4^6 + 11/49*c_1001_4^5 + 5/7*c_1001_4^4 - 116/49*c_1001_4^3 + 152/49*c_1001_4^2 - 85/49*c_1001_4 + 46/49, c_1001_4^7 + 2*c_1001_4^6 + 6*c_1001_4^5 - 11*c_1001_4^4 + 13*c_1001_4^3 - 11*c_1001_4^2 + 6*c_1001_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB