Magma V2.19-8 Tue Aug 20 2013 16:18:39 on localhost [Seed = 711702297] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2823 geometric_solution 6.04609948 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -1 0 1 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 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 0.320866353629 0.828635154349 0 4 5 5 0132 3012 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.200009252957 1.546687804035 5 0 3 4 0321 0132 2310 3201 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 0 0 0 1 0 -1 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 0.320866353629 0.828635154349 6 2 6 0 0132 3201 2310 0132 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 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 0.892217024709 0.650590794123 1 2 0 5 1230 2310 0132 0213 0 0 0 0 0 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 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 1.016903239963 0.619902707959 2 1 1 4 0321 3201 0132 0213 0 0 0 0 0 0 0 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 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 0.263829320374 0.510082889930 3 3 6 6 0132 3201 2031 1302 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.558750491526 0.181216761102 ==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_0101_0'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_0']), '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_3']), 'c_0011_6' : negation(d['c_0011_3']), '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' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_1001_0']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : negation(d['c_1001_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_0']), 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_1001_0'])})} 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_5, c_0101_0, c_0101_1, c_0101_3, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 23202/545*c_1001_0^11 - 6083/218*c_1001_0^10 + 175271/1090*c_1001_0^9 + 21413/218*c_1001_0^8 + 131163/1090*c_1001_0^7 + 46156/545*c_1001_0^6 - 241827/1090*c_1001_0^5 + 58245/218*c_1001_0^4 - 26391/218*c_1001_0^3 + 36245/218*c_1001_0^2 - 131011/1090*c_1001_0 - 68567/545, c_0011_0 - 1, c_0011_3 + 179/25942*c_1001_0^11 + 1499/25942*c_1001_0^10 - 6029/25942*c_1001_0^9 + 599/1526*c_1001_0^8 - 7454/12971*c_1001_0^7 - 12037/25942*c_1001_0^6 - 2101/25942*c_1001_0^5 - 20075/25942*c_1001_0^4 + 40191/25942*c_1001_0^3 - 30313/25942*c_1001_0^2 + 5024/12971*c_1001_0 - 5981/12971, c_0011_5 + 5155/25942*c_1001_0^11 - 5671/25942*c_1001_0^10 + 21009/25942*c_1001_0^9 + 115/1526*c_1001_0^8 + 4101/12971*c_1001_0^7 - 1725/25942*c_1001_0^6 - 37463/25942*c_1001_0^5 + 27369/25942*c_1001_0^4 - 40079/25942*c_1001_0^3 + 39917/25942*c_1001_0^2 - 17778/12971*c_1001_0 - 4855/12971, c_0101_0 + 6807/25942*c_1001_0^11 - 3056/12971*c_1001_0^10 + 14169/12971*c_1001_0^9 + 117/763*c_1001_0^8 + 25905/25942*c_1001_0^7 - 1221/25942*c_1001_0^6 - 23173/12971*c_1001_0^5 + 33113/12971*c_1001_0^4 - 19903/12971*c_1001_0^3 + 30042/12971*c_1001_0^2 - 42605/25942*c_1001_0 - 2083/12971, c_0101_1 + 5155/25942*c_1001_0^11 - 5671/25942*c_1001_0^10 + 21009/25942*c_1001_0^9 + 115/1526*c_1001_0^8 + 4101/12971*c_1001_0^7 - 1725/25942*c_1001_0^6 - 37463/25942*c_1001_0^5 + 27369/25942*c_1001_0^4 - 40079/25942*c_1001_0^3 + 39917/25942*c_1001_0^2 - 17778/12971*c_1001_0 - 4855/12971, c_0101_3 + 7747/25942*c_1001_0^11 - 4265/12971*c_1001_0^10 + 32257/25942*c_1001_0^9 + 383/1526*c_1001_0^8 + 8410/12971*c_1001_0^7 + 5139/12971*c_1001_0^6 - 13907/12971*c_1001_0^5 + 60007/25942*c_1001_0^4 - 37515/25942*c_1001_0^3 + 50391/25942*c_1001_0^2 - 25318/12971*c_1001_0 + 7437/25942, c_1001_0^12 - c_1001_0^11 + 4*c_1001_0^10 + c_1001_0^9 + 2*c_1001_0^8 + c_1001_0^7 - 6*c_1001_0^6 + 8*c_1001_0^5 - 5*c_1001_0^4 + 5*c_1001_0^3 - 4*c_1001_0^2 - 2*c_1001_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB