Magma V2.19-8 Tue Aug 20 2013 16:18:29 on localhost [Seed = 846442242] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2670 geometric_solution 5.93532201 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 1 0 2 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 -1 1 0 -1 0 1 0 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.557103818665 1.173408629153 3 0 4 4 0132 0132 1230 0132 0 0 0 0 0 0 1 -1 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 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 0.536810533135 0.442548772620 3 4 0 5 2031 2031 0132 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.434556244332 0.725671979727 1 5 2 6 0132 0132 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.145459652412 0.407499858820 2 6 1 1 1302 2103 0132 3012 0 0 0 0 0 -1 1 0 1 0 0 -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 -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 1.140199136950 1.794593813913 5 3 2 5 3201 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.947401445551 0.376079936153 6 4 3 6 3012 2103 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.956731636201 0.553848901647 ==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' : 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' : d['c_0011_6'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0110_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0110_4'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_2']), 'c_0101_3' : negation(d['c_0011_2']), 'c_0101_2' : d['c_0011_6'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : negation(d['c_0110_4']), 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : negation(d['c_0110_4']), 'c_0110_1' : negation(d['c_0011_2']), 'c_0110_0' : d['c_0011_6'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0011_6'], 'c_1010_0' : negation(d['c_0110_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_2, c_0011_4, c_0011_6, c_0101_1, c_0101_5, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 16547/217*c_0110_4^10 + 40907/217*c_0110_4^9 + 96151/217*c_0110_4^8 - 93791/217*c_0110_4^7 - 302216/217*c_0110_4^6 + 89731/217*c_0110_4^5 + 433857/217*c_0110_4^4 + 115884/217*c_0110_4^3 - 232586/217*c_0110_4^2 - 174658/217*c_0110_4 - 36009/217, c_0011_0 - 1, c_0011_2 + 21*c_0110_4^10 - 55*c_0110_4^9 - 113*c_0110_4^8 + 133*c_0110_4^7 + 359*c_0110_4^6 - 159*c_0110_4^5 - 511*c_0110_4^4 - 83*c_0110_4^3 + 283*c_0110_4^2 + 183*c_0110_4 + 34, c_0011_4 + 19*c_0110_4^10 - 51*c_0110_4^9 - 100*c_0110_4^8 + 131*c_0110_4^7 + 318*c_0110_4^6 - 176*c_0110_4^5 - 459*c_0110_4^4 - 23*c_0110_4^3 + 265*c_0110_4^2 + 136*c_0110_4 + 17, c_0011_6 - 38*c_0110_4^10 + 94*c_0110_4^9 + 222*c_0110_4^8 - 221*c_0110_4^7 - 695*c_0110_4^6 + 221*c_0110_4^5 + 1004*c_0110_4^4 + 236*c_0110_4^3 - 540*c_0110_4^2 - 385*c_0110_4 - 76, c_0101_1 - 35*c_0110_4^10 + 83*c_0110_4^9 + 215*c_0110_4^8 - 187*c_0110_4^7 - 670*c_0110_4^6 + 149*c_0110_4^5 + 973*c_0110_4^4 + 297*c_0110_4^3 - 513*c_0110_4^2 - 405*c_0110_4 - 86, c_0101_5 - 70*c_0110_4^10 + 178*c_0110_4^9 + 394*c_0110_4^8 - 426*c_0110_4^7 - 1241*c_0110_4^6 + 470*c_0110_4^5 + 1784*c_0110_4^4 + 351*c_0110_4^3 - 974*c_0110_4^2 - 658*c_0110_4 - 124, c_0110_4^11 - 2*c_0110_4^10 - 7*c_0110_4^9 + 3*c_0110_4^8 + 21*c_0110_4^7 + 3*c_0110_4^6 - 29*c_0110_4^5 - 19*c_0110_4^4 + 11*c_0110_4^3 + 17*c_0110_4^2 + 7*c_0110_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB