Magma V2.19-8 Tue Aug 20 2013 16:16:19 on localhost [Seed = 3465499181] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0591 geometric_solution 4.60667762 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1302 2031 0132 0132 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 -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 0.569052905840 0.337478841322 3 2 2 0 0132 3012 2031 0132 0 0 0 0 0 0 0 0 0 0 -1 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 0 1 -1 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 0.699941115642 0.771004526013 1 3 0 1 1230 3201 0132 1302 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 0 0 0 0 0 0 0 0 -1 1 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 0.699941115642 0.771004526013 1 4 2 4 0132 0132 2310 1023 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 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.823280164165 1.124787911811 5 3 5 3 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.727269476154 0.349997996000 4 6 4 6 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.810990808910 0.106251114648 6 5 6 5 2310 0132 3201 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.852680808734 0.058149031740 ==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_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_0011_1']), 'c_1100_5' : d['c_0011_1'], 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : d['c_0101_1'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_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_0101_1, c_0101_2, c_0101_4, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 36232/27927*c_0101_6^9 - 65744/27927*c_0101_6^8 + 715574/27927*c_0101_6^7 + 112838/3103*c_0101_6^6 - 5166/107*c_0101_6^5 - 491708/27927*c_0101_6^4 - 76859/9309*c_0101_6^3 - 609904/27927*c_0101_6^2 + 2623/3103*c_0101_6 - 247559/27927, c_0011_0 - 1, c_0011_1 - 29144/27927*c_0101_2*c_0101_6^9 - 14956/27927*c_0101_2*c_0101_6^8 + 563884/27927*c_0101_2*c_0101_6^7 + 36100/9309*c_0101_2*c_0101_6^6 - 7243/321*c_0101_2*c_0101_6^5 - 244975/27927*c_0101_2*c_0101_6^4 - 47314/9309*c_0101_2*c_0101_6^3 - 88352/27927*c_0101_2*c_0101_6^2 - 863/9309*c_0101_2*c_0101_6 - 37261/27927*c_0101_2, c_0101_1 + 16783/27927*c_0101_6^9 + 11159/27927*c_0101_6^8 - 325154/27927*c_0101_6^7 - 12592/3103*c_0101_6^6 + 1481/107*c_0101_6^5 + 219800/27927*c_0101_6^4 + 23639/9309*c_0101_6^3 - 3626/27927*c_0101_6^2 + 49/3103*c_0101_6 + 24386/27927, c_0101_2^2 + 16783/27927*c_0101_6^9 + 11159/27927*c_0101_6^8 - 325154/27927*c_0101_6^7 - 12592/3103*c_0101_6^6 + 1481/107*c_0101_6^5 + 219800/27927*c_0101_6^4 + 23639/9309*c_0101_6^3 - 3626/27927*c_0101_6^2 + 49/3103*c_0101_6 - 3541/27927, c_0101_4 - 12875/27927*c_0101_6^9 - 514/27927*c_0101_6^8 + 248422/27927*c_0101_6^7 - 23785/9309*c_0101_6^6 - 2606/321*c_0101_6^5 + 24725/27927*c_0101_6^4 - 34525/9309*c_0101_6^3 - 19100/27927*c_0101_6^2 + 12767/9309*c_0101_6 - 23602/27927, c_0101_5 + 4832/27927*c_0101_6^9 + 8293/27927*c_0101_6^8 - 91873/27927*c_0101_6^7 - 14762/3103*c_0101_6^6 + 426/107*c_0101_6^5 + 205858/27927*c_0101_6^4 - 473/9309*c_0101_6^3 - 7690/27927*c_0101_6^2 + 2536/3103*c_0101_6 - 7787/27927, c_0101_6^10 + c_0101_6^9 - 19*c_0101_6^8 - 13*c_0101_6^7 + 18*c_0101_6^6 + 17*c_0101_6^5 + 10*c_0101_6^4 + 7*c_0101_6^3 + 2*c_0101_6^2 + 2*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB