Magma V2.19-8 Tue Aug 20 2013 16:16:06 on localhost [Seed = 3465499139] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0358 geometric_solution 4.38831649 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 3 0132 0132 2031 0132 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 0 1 -1 -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 0.562564684067 1.186212405762 0 3 2 0 0132 2031 3120 1302 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 1 0 -1 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 0.673606653233 0.688226346335 4 0 1 4 0132 0132 3120 1023 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 0.655232043968 0.275008460669 1 3 0 3 1302 2310 0132 3201 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 -1 1 0 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 -0.326393346767 0.688226346335 2 5 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.133553114501 0.377604045216 6 4 4 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.292421562683 0.167218703695 5 6 6 5 0132 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.498740120810 0.098710227794 ==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' : d['c_0011_0'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : 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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0011_0']), 'c_1001_1' : negation(d['c_0110_3']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_0110_3'], 'c_1001_2' : d['c_0110_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : negation(d['c_0110_3']), 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : d['c_0110_3']})} 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_0101_0, c_0101_4, c_0101_5, c_0101_6, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 4*c_0110_3^12 - 23*c_0110_3^11 - 49*c_0110_3^10 - 26*c_0110_3^9 + 81*c_0110_3^8 + 180*c_0110_3^7 + 134*c_0110_3^6 - 25*c_0110_3^5 - 124*c_0110_3^4 - 89*c_0110_3^3 - 13*c_0110_3^2 + 14*c_0110_3 + 9, c_0011_0 - 1, c_0011_3 - c_0110_3^12 - 5*c_0110_3^11 - 9*c_0110_3^10 - 3*c_0110_3^9 + 15*c_0110_3^8 + 30*c_0110_3^7 + 25*c_0110_3^6 + 2*c_0110_3^5 - 19*c_0110_3^4 - 19*c_0110_3^3 - 5*c_0110_3^2 + 3*c_0110_3 + 3, c_0101_0 + c_0110_3^12 + 5*c_0110_3^11 + 8*c_0110_3^10 - c_0110_3^9 - 19*c_0110_3^8 - 24*c_0110_3^7 - 9*c_0110_3^6 + 7*c_0110_3^5 + 12*c_0110_3^4 + 9*c_0110_3^3 + 2*c_0110_3^2 - c_0110_3 - 2, c_0101_4 - c_0110_3^11 - 4*c_0110_3^10 - 4*c_0110_3^9 + 6*c_0110_3^8 + 17*c_0110_3^7 + 11*c_0110_3^6 - 8*c_0110_3^5 - 15*c_0110_3^4 - 6*c_0110_3^3 + 4*c_0110_3^2 + 4*c_0110_3, c_0101_5 - 2*c_0110_3^12 - 10*c_0110_3^11 - 16*c_0110_3^10 + 3*c_0110_3^9 + 42*c_0110_3^8 + 52*c_0110_3^7 + 12*c_0110_3^6 - 29*c_0110_3^5 - 31*c_0110_3^4 - 12*c_0110_3^3 + 2*c_0110_3^2 + 3*c_0110_3 + 3, c_0101_6 - 2*c_0110_3^11 - 10*c_0110_3^10 - 16*c_0110_3^9 + 4*c_0110_3^8 + 45*c_0110_3^7 + 53*c_0110_3^6 + 5*c_0110_3^5 - 39*c_0110_3^4 - 32*c_0110_3^3 - 3*c_0110_3^2 + 8*c_0110_3 + 3, c_0110_3^13 + 5*c_0110_3^12 + 8*c_0110_3^11 - 2*c_0110_3^10 - 23*c_0110_3^9 - 28*c_0110_3^8 - 3*c_0110_3^7 + 23*c_0110_3^6 + 21*c_0110_3^5 + 2*c_0110_3^4 - 8*c_0110_3^3 - 4*c_0110_3^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB