Magma V2.19-8 Tue Aug 20 2013 16:17:20 on localhost [Seed = 21011912] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1574 geometric_solution 5.35647000 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1302 2031 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 0.426855979324 0.188684213029 2 0 3 0 0132 2310 0132 0132 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 0 1 -1 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 0.829270900694 1.662896961851 1 4 3 5 0132 0132 0213 0132 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 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 0.593376935194 0.482674476762 5 2 4 1 3201 0213 1023 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 1 0 -1 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 0.593376935194 0.482674476762 4 2 3 4 3012 0132 1023 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.985803261895 0.824984678143 6 6 2 3 0132 2310 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0.357956695344 0.550084979578 5 6 6 5 0132 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.085069694702 0.588492028245 ==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' : negation(d['c_0011_5']), 'c_1100_5' : negation(d['c_0011_0']), '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' : negation(d['c_0011_1']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_5']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : negation(d['c_0110_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0110_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : d['c_0011_1'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0110_0']), '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_0011_5, c_0101_1, c_0101_3, c_0101_4, c_0110_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 21 Groebner basis: [ t + 9*c_0110_0^20 - 12*c_0110_0^19 - 129*c_0110_0^18 + 131*c_0110_0^17 + 799*c_0110_0^16 - 600*c_0110_0^15 - 2802*c_0110_0^14 + 1539*c_0110_0^13 + 6159*c_0110_0^12 - 2525*c_0110_0^11 - 8947*c_0110_0^10 + 2893*c_0110_0^9 + 8908*c_0110_0^8 - 2430*c_0110_0^7 - 6264*c_0110_0^6 + 1463*c_0110_0^5 + 3134*c_0110_0^4 - 552*c_0110_0^3 - 1000*c_0110_0^2 + 134*c_0110_0 + 176, c_0011_0 - 1, c_0011_1 + c_0110_0^2 - 1, c_0011_5 + c_0110_0^16 - 10*c_0110_0^14 + 41*c_0110_0^12 - 90*c_0110_0^10 + 116*c_0110_0^8 - 91*c_0110_0^6 + 45*c_0110_0^4 - 14*c_0110_0^2 + 1, c_0101_1 - c_0110_0^3 + 2*c_0110_0, c_0101_3 + c_0110_0^8 - 5*c_0110_0^6 + 8*c_0110_0^4 - 5*c_0110_0^2 + 1, c_0101_4 - c_0110_0^5 + 3*c_0110_0^3 - 2*c_0110_0, c_0110_0^21 - 13*c_0110_0^19 + 73*c_0110_0^17 - c_0110_0^16 - 234*c_0110_0^15 + 10*c_0110_0^14 + 477*c_0110_0^13 - 41*c_0110_0^12 - 652*c_0110_0^11 + 90*c_0110_0^10 + 615*c_0110_0^9 - 116*c_0110_0^8 - 407*c_0110_0^7 + 91*c_0110_0^6 + 187*c_0110_0^5 - 45*c_0110_0^4 - 54*c_0110_0^3 + 14*c_0110_0^2 + 7*c_0110_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB