Magma V2.19-8 Tue Aug 20 2013 16:14:10 on localhost [Seed = 2210537381] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s135 geometric_solution 4.17493245 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 0 0 1 0132 3201 2310 1023 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 -1 0 1 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 1.158126278216 0.175728322738 0 2 2 0 0132 0132 1023 1023 0 0 0 0 0 -1 1 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 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 1.097863983640 0.299544676234 3 1 1 4 0132 0132 1023 0132 0 0 0 0 0 1 -1 0 0 0 -1 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 0 -1 1 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 0.754785054085 0.320419385260 2 4 4 5 0132 1302 3201 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.429819070242 0.554364467572 3 5 2 3 2310 1023 0132 2031 0 0 0 0 0 0 0 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 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 0.429819070242 0.554364467572 4 5 3 5 1023 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.873501667043 1.126609590171 ==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_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_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_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_0'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_0'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_3'], '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_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0011_0']), 'c_1001_4' : d['c_0101_2'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : negation(d['c_0101_3']), 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0101_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 8*c_0101_3^11 + 15*c_0101_3^10 + 26*c_0101_3^9 + 28*c_0101_3^8 + 9*c_0101_3^7 + 12*c_0101_3^6 - 6*c_0101_3^5 - 35*c_0101_3^4 - 48*c_0101_3^3 - 29*c_0101_3^2 + 19*c_0101_3 + 15, c_0011_0 - 1, c_0011_4 + c_0101_3^11 + c_0101_3^10 + 2*c_0101_3^9 + c_0101_3^8 - c_0101_3^7 + c_0101_3^6 - 2*c_0101_3^5 - 3*c_0101_3^4 - 3*c_0101_3^3 + c_0101_3^2 + 4*c_0101_3, c_0101_0 + 5*c_0101_3^11 + 10*c_0101_3^10 + 17*c_0101_3^9 + 19*c_0101_3^8 + 7*c_0101_3^7 + 8*c_0101_3^6 - 2*c_0101_3^5 - 21*c_0101_3^4 - 31*c_0101_3^3 - 18*c_0101_3^2 + 13*c_0101_3 + 11, c_0101_1 - 5*c_0101_3^11 - 6*c_0101_3^10 - 13*c_0101_3^9 - 9*c_0101_3^8 - c_0101_3^7 - 7*c_0101_3^6 + 9*c_0101_3^5 + 14*c_0101_3^4 + 23*c_0101_3^3 + 3*c_0101_3^2 - 13*c_0101_3 - 3, c_0101_2 + c_0101_3^10 + c_0101_3^9 + 2*c_0101_3^8 + c_0101_3^7 - c_0101_3^6 + c_0101_3^5 - 2*c_0101_3^4 - 3*c_0101_3^3 - 3*c_0101_3^2 + c_0101_3 + 3, c_0101_3^12 + c_0101_3^11 + 2*c_0101_3^10 + c_0101_3^9 - c_0101_3^8 + c_0101_3^7 - 2*c_0101_3^6 - 3*c_0101_3^5 - 3*c_0101_3^4 + c_0101_3^3 + 4*c_0101_3^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB