Magma V2.19-8 Tue Aug 20 2013 16:17:01 on localhost [Seed = 812756193] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1272 geometric_solution 5.16928814 oriented_manifold CS_known -0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 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 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 0.649791862206 0.155651091601 2 0 2 0 0132 2310 1023 0132 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 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 0.894766157355 0.192985366000 1 3 1 4 0132 0132 1023 0132 0 0 0 0 0 0 0 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 0 0 0 0 0 0 -1 1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.062843100722 0.387579986411 4 2 6 5 3120 0132 0132 0132 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.734889552646 0.459756025067 5 6 2 3 1023 0132 0132 3120 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 1 0 -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 0.734889552646 0.459756025067 5 4 3 5 3012 1023 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 1 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.022022706948 0.611834732499 6 4 6 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.915354325755 0.950867837762 ==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' : d['c_0011_4'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0011_1'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_1'], 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_1']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : d['c_1001_3'], 'c_1001_6' : negation(d['c_0011_1']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : negation(d['c_0011_1']), 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_1001_3'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_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_0011_4, c_0101_0, c_0101_1, c_0101_5, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 30111/5*c_1001_3^9 + 27746*c_1001_3^8 + 656934/5*c_1001_3^7 - 1399439/5*c_1001_3^6 - 1155432/5*c_1001_3^5 + 2541727/5*c_1001_3^4 - 12584*c_1001_3^3 - 1239023/5*c_1001_3^2 + 578063/5*c_1001_3 - 77761/5, c_0011_0 - 1, c_0011_1 - 35*c_1001_3^9 + 168*c_1001_3^8 + 734*c_1001_3^7 - 1780*c_1001_3^6 - 1065*c_1001_3^5 + 3270*c_1001_3^4 - 552*c_1001_3^3 - 1546*c_1001_3^2 + 910*c_1001_3 - 148, c_0011_4 + 615*c_1001_3^9 - 2860*c_1001_3^8 - 13300*c_1001_3^7 + 29176*c_1001_3^6 + 22504*c_1001_3^5 - 53022*c_1001_3^4 + 2976*c_1001_3^3 + 25650*c_1001_3^2 - 12549*c_1001_3 + 1756, c_0101_0 - 715*c_1001_3^9 + 3315*c_1001_3^8 + 15505*c_1001_3^7 - 33685*c_1001_3^6 - 26538*c_1001_3^5 + 61120*c_1001_3^4 - 2827*c_1001_3^3 - 29601*c_1001_3^2 + 14274*c_1001_3 - 1975, c_0101_1 - 426*c_1001_3^9 + 1990*c_1001_3^8 + 9175*c_1001_3^7 - 20419*c_1001_3^6 - 15254*c_1001_3^5 + 37198*c_1001_3^4 - 2635*c_1001_3^3 - 17965*c_1001_3^2 + 8986*c_1001_3 - 1279, c_0101_5 - 27*c_1001_3^9 + 129*c_1001_3^8 + 569*c_1001_3^7 - 1360*c_1001_3^6 - 850*c_1001_3^5 + 2498*c_1001_3^4 - 371*c_1001_3^3 - 1191*c_1001_3^2 + 671*c_1001_3 - 104, c_1001_3^10 - 5*c_1001_3^9 - 20*c_1001_3^8 + 55*c_1001_3^7 + 20*c_1001_3^6 - 99*c_1001_3^5 + 35*c_1001_3^4 + 40*c_1001_3^3 - 35*c_1001_3^2 + 10*c_1001_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB