Magma V2.19-8 Tue Aug 20 2013 16:16:20 on localhost [Seed = 3566553137] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0616 geometric_solution 4.61962475 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 1023 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.842202475256 0.080329557133 0 3 0 3 0132 0132 1023 1023 0 0 0 0 0 0 1 -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 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 0.767963380406 0.225273126835 2 0 2 0 2310 0132 3201 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.873299195900 0.047882452073 4 1 5 1 0132 0132 0132 1023 0 0 0 0 0 0 0 0 -1 0 0 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 0 0 0 0 1 0 -1 0 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.064698550264 0.919910967743 3 6 5 5 0132 0132 0213 2310 0 0 0 0 0 0 0 0 1 0 0 -1 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 0 0 1 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.385718430553 0.740012687381 4 4 6 3 3201 0213 1023 0132 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 -1 0 0 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 0.385718430553 0.740012687381 6 4 5 6 3012 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.446123171355 1.062629752631 ==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_0'], '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_6'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0011_5'], '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_0'], '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' : d['c_0101_6'], 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0011_5'], '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_0011_5'], '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' : d['c_0011_0'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0011_5'], '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_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 4244/61*c_0101_6^17 - 2852/61*c_0101_6^16 + 9693/61*c_0101_6^15 + 15828/61*c_0101_6^14 + 8693/61*c_0101_6^13 - 32118/61*c_0101_6^12 - 30382/61*c_0101_6^11 + 72935/61*c_0101_6^10 + 66543/61*c_0101_6^9 - 172469/61*c_0101_6^8 - 210635/61*c_0101_6^7 + 158290/61*c_0101_6^6 + 280285/61*c_0101_6^5 + 6253/61*c_0101_6^4 - 134836/61*c_0101_6^3 - 44342/61*c_0101_6^2 + 19432/61*c_0101_6 + 8621/61, c_0011_0 - 1, c_0011_5 + c_0101_6^17 - 3*c_0101_6^15 - 2*c_0101_6^14 + c_0101_6^13 + 9*c_0101_6^12 + 2*c_0101_6^11 - 24*c_0101_6^10 - 3*c_0101_6^9 + 56*c_0101_6^8 + 19*c_0101_6^7 - 81*c_0101_6^6 - 37*c_0101_6^5 + 57*c_0101_6^4 + 28*c_0101_6^3 - 18*c_0101_6^2 - 8*c_0101_6 + 2, c_0101_0 - 3*c_0101_6^17 + c_0101_6^16 + 8*c_0101_6^15 + 3*c_0101_6^14 - 3*c_0101_6^13 - 24*c_0101_6^12 + 4*c_0101_6^11 + 67*c_0101_6^10 - 16*c_0101_6^9 - 154*c_0101_6^8 + c_0101_6^7 + 223*c_0101_6^6 + 13*c_0101_6^5 - 166*c_0101_6^4 - 7*c_0101_6^3 + 67*c_0101_6^2 + c_0101_6 - 11, c_0101_1 + 7*c_0101_6^17 + 8*c_0101_6^16 - 22*c_0101_6^15 - 31*c_0101_6^14 - 7*c_0101_6^13 + 57*c_0101_6^12 + 74*c_0101_6^11 - 163*c_0101_6^10 - 162*c_0101_6^9 + 394*c_0101_6^8 + 450*c_0101_6^7 - 463*c_0101_6^6 - 625*c_0101_6^5 + 255*c_0101_6^4 + 312*c_0101_6^3 - 64*c_0101_6^2 - 48*c_0101_6 + 6, c_0101_2 + 51*c_0101_6^17 - 16*c_0101_6^16 - 134*c_0101_6^15 - 57*c_0101_6^14 + 35*c_0101_6^13 + 415*c_0101_6^12 - 38*c_0101_6^11 - 1106*c_0101_6^10 + 237*c_0101_6^9 + 2508*c_0101_6^8 + 105*c_0101_6^7 - 3538*c_0101_6^6 - 426*c_0101_6^5 + 2298*c_0101_6^4 + 225*c_0101_6^3 - 651*c_0101_6^2 - 32*c_0101_6 + 66, c_0101_3 + c_0101_6^2 - 1, c_0101_6^18 - 3*c_0101_6^16 - 2*c_0101_6^15 + c_0101_6^14 + 9*c_0101_6^13 + 2*c_0101_6^12 - 24*c_0101_6^11 - 3*c_0101_6^10 + 56*c_0101_6^9 + 19*c_0101_6^8 - 81*c_0101_6^7 - 37*c_0101_6^6 + 57*c_0101_6^5 + 28*c_0101_6^4 - 18*c_0101_6^3 - 9*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