Magma V2.19-8 Tue Aug 20 2013 16:16:08 on localhost [Seed = 3002281586] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0390 geometric_solution 4.45673703 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 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 -1 0 1 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 0.802814540186 0.090325978968 0 3 0 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 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 0.670595928442 0.318244769110 2 0 2 0 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 1 0 -1 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 0.850383749107 0.048754219144 4 1 5 1 0132 0132 0132 1023 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 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 1.719336279982 1.601375389877 3 5 5 6 0132 3201 2310 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 -0.172472748197 0.815190860209 6 4 4 3 1023 3201 2310 0132 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.172472748197 0.815190860209 6 5 4 6 3201 1023 0132 2310 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 0.248418514233 1.174147825825 ==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_5'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_6' : d['c_0011_5'], '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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : negation(d['c_0101_4']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : negation(d['c_0101_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : negation(d['c_0101_3']), 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_4'], 'c_1010_0' : negation(d['c_0101_2'])})} 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_5, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 5355*c_0101_4^17 + 33023*c_0101_4^15 - 98143*c_0101_4^13 + 166295*c_0101_4^11 - 183836*c_0101_4^9 + 134415*c_0101_4^7 - 64787*c_0101_4^5 + 18961*c_0101_4^3 - 2458*c_0101_4, c_0011_0 - 1, c_0011_5 + 5*c_0101_4^16 - 28*c_0101_4^14 + 77*c_0101_4^12 - 118*c_0101_4^10 + 121*c_0101_4^8 - 79*c_0101_4^6 + 36*c_0101_4^4 - 8*c_0101_4^2 + 1, c_0101_0 + 40*c_0101_4^17 - 259*c_0101_4^15 + 807*c_0101_4^13 - 1455*c_0101_4^11 + 1717*c_0101_4^9 - 1361*c_0101_4^7 + 720*c_0101_4^5 - 237*c_0101_4^3 + 37*c_0101_4, c_0101_1 - 330*c_0101_4^17 + 2068*c_0101_4^15 - 6234*c_0101_4^13 + 10753*c_0101_4^11 - 12081*c_0101_4^9 + 9007*c_0101_4^7 - 4429*c_0101_4^5 + 1335*c_0101_4^3 - 183*c_0101_4, c_0101_2 - 795*c_0101_4^17 + 4917*c_0101_4^15 - 14657*c_0101_4^13 + 24939*c_0101_4^11 - 27700*c_0101_4^9 + 20381*c_0101_4^7 - 9901*c_0101_4^5 + 2931*c_0101_4^3 - 389*c_0101_4, c_0101_3 - 5*c_0101_4^17 + 28*c_0101_4^15 - 77*c_0101_4^13 + 118*c_0101_4^11 - 121*c_0101_4^9 + 79*c_0101_4^7 - 36*c_0101_4^5 + 8*c_0101_4^3 - c_0101_4, c_0101_4^18 - 33/5*c_0101_4^16 + 21*c_0101_4^14 - 39*c_0101_4^12 + 239/5*c_0101_4^10 - 40*c_0101_4^8 + 23*c_0101_4^6 - 44/5*c_0101_4^4 + 2*c_0101_4^2 - 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB