Magma V2.19-8 Tue Aug 20 2013 16:16:38 on localhost [Seed = 1528481664] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0936 geometric_solution 4.83804936 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 1 0 1 2031 0132 1302 1023 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 -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 0.424464907278 0.107495593876 2 0 3 0 0132 0132 0132 1023 0 0 0 0 0 1 -1 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 1 -1 0 0 0 1 -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 -0.159239310821 1.361222629904 1 3 4 3 0132 3201 0132 1230 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 -1 1 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.562424675004 1.144339096361 2 4 2 1 3012 0132 2310 0132 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 -1 1 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 0.562424675004 1.144339096361 5 3 5 2 0132 0132 2310 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 -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 1.375733925303 0.486964129007 4 4 6 6 0132 3201 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.362629126158 0.425812831036 5 6 6 5 3201 3201 2310 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 -1.213916934302 0.560673713102 ==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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : d['c_0101_2'], '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_0011_3'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_3']), '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_3'], 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0110_0'], 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0101_2'], 'c_0110_0' : d['c_0110_0'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : d['c_0110_0'], 'c_1010_0' : 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_3, c_0011_6, c_0101_2, c_0101_3, c_0101_4, c_0110_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 7*c_0110_0^8 + 21/2*c_0110_0^7 - 91/2*c_0110_0^6 - 64*c_0110_0^5 + 185/2*c_0110_0^4 + 118*c_0110_0^3 - 52*c_0110_0^2 - 66*c_0110_0 - 37/2, c_0011_0 - 1, c_0011_3 - c_0110_0^3 + 2*c_0110_0, c_0011_6 + c_0110_0, c_0101_2 - c_0110_0^2 + 1, c_0101_3 + c_0110_0^6 - 5*c_0110_0^4 + 6*c_0110_0^2 - 1, c_0101_4 + 1, c_0110_0^9 + c_0110_0^8 - 7*c_0110_0^7 - 6*c_0110_0^6 + 16*c_0110_0^5 + 11*c_0110_0^4 - 12*c_0110_0^3 - 7*c_0110_0^2 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_6, c_0101_2, c_0101_3, c_0101_4, c_0110_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 28*c_0110_0^15 - 40*c_0110_0^14 + 366*c_0110_0^13 + 498*c_0110_0^12 - 1938*c_0110_0^11 - 2464*c_0110_0^10 + 5347*c_0110_0^9 + 6137*c_0110_0^8 - 8178*c_0110_0^7 - 8055*c_0110_0^6 + 6750*c_0110_0^5 + 5293*c_0110_0^4 - 2641*c_0110_0^3 - 1435*c_0110_0^2 + 331*c_0110_0 + 103, c_0011_0 - 1, c_0011_3 - c_0110_0^3 + 2*c_0110_0, c_0011_6 + 2*c_0110_0^15 + 4*c_0110_0^14 - 24*c_0110_0^13 - 47*c_0110_0^12 + 118*c_0110_0^11 + 220*c_0110_0^10 - 312*c_0110_0^9 - 524*c_0110_0^8 + 485*c_0110_0^7 + 670*c_0110_0^6 - 442*c_0110_0^5 - 440*c_0110_0^4 + 210*c_0110_0^3 + 126*c_0110_0^2 - 35*c_0110_0 - 11, c_0101_2 - c_0110_0^2 + 1, c_0101_3 + 2*c_0110_0^15 + 5*c_0110_0^14 - 20*c_0110_0^13 - 54*c_0110_0^12 + 75*c_0110_0^11 + 225*c_0110_0^10 - 134*c_0110_0^9 - 456*c_0110_0^8 + 126*c_0110_0^7 + 464*c_0110_0^6 - 75*c_0110_0^5 - 215*c_0110_0^4 + 34*c_0110_0^3 + 32*c_0110_0^2 - 5*c_0110_0 - 1, c_0101_4 - c_0110_0^13 - 2*c_0110_0^12 + 10*c_0110_0^11 + 20*c_0110_0^10 - 38*c_0110_0^9 - 75*c_0110_0^8 + 70*c_0110_0^7 + 130*c_0110_0^6 - 66*c_0110_0^5 - 103*c_0110_0^4 + 30*c_0110_0^3 + 31*c_0110_0^2 - 5*c_0110_0 - 3, c_0110_0^16 + 2*c_0110_0^15 - 12*c_0110_0^14 - 24*c_0110_0^13 + 58*c_0110_0^12 + 115*c_0110_0^11 - 146*c_0110_0^10 - 281*c_0110_0^9 + 205*c_0110_0^8 + 370*c_0110_0^7 - 156*c_0110_0^6 - 253*c_0110_0^5 + 54*c_0110_0^4 + 78*c_0110_0^3 - 3*c_0110_0^2 - 8*c_0110_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB