Magma V2.19-8 Tue Aug 20 2013 16:08:54 on localhost [Seed = 1511769327] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m102 geometric_solution 3.52644883 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 5 1 2 1 1 0132 0132 2031 3201 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 -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 1.003979407912 0.951977615711 0 0 2 0 0132 2310 2031 1302 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 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.475519533141 0.497314646488 3 0 3 1 0132 0132 1023 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.972242097495 0.521663635931 2 4 2 4 0132 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.840546291268 0.189099324515 3 3 4 4 3201 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.624561733749 0.129737755180 ==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_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_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_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_4' : d['c_0110_4'], 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_0'], 'c_0101_4' : negation(d['c_0101_2']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_4' : negation(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_4' : negation(d['c_0110_4']), 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_4' : d['c_0110_4'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_0101_3']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 6 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0101_0, c_0101_2, c_0101_3, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 38*c_0110_4^8 + 92*c_0110_4^7 - 189*c_0110_4^6 - 345*c_0110_4^5 + 385*c_0110_4^4 + 350*c_0110_4^3 - 342*c_0110_4^2 - 144*c_0110_4 + 89, c_0011_0 - 1, c_0101_0 + c_0110_4^8 + 2*c_0110_4^7 - 5*c_0110_4^6 - 5*c_0110_4^5 + 9*c_0110_4^4 - 4*c_0110_4^2, c_0101_2 + 5*c_0110_4^8 + 12*c_0110_4^7 - 25*c_0110_4^6 - 45*c_0110_4^5 + 50*c_0110_4^4 + 45*c_0110_4^3 - 43*c_0110_4^2 - 18*c_0110_4 + 11, c_0101_3 - c_0110_4^8 - 2*c_0110_4^7 + 6*c_0110_4^6 + 7*c_0110_4^5 - 14*c_0110_4^4 - 5*c_0110_4^3 + 13*c_0110_4^2 + c_0110_4 - 3, c_0110_4^9 + 2*c_0110_4^8 - 6*c_0110_4^7 - 7*c_0110_4^6 + 14*c_0110_4^5 + 5*c_0110_4^4 - 13*c_0110_4^3 + 4*c_0110_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB