Magma V2.19-8 Tue Aug 20 2013 16:14:21 on localhost [Seed = 863153938] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s331 geometric_solution 4.51439822 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1302 2031 0132 0132 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 0 0 0 0 0 0.577410057759 0.344993489958 3 2 2 0 0132 3012 2031 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 0.723738167179 0.762546508998 1 3 0 1 1230 3201 0132 1302 0 0 0 0 0 -1 0 1 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 -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 0.723738167179 0.762546508998 1 4 2 4 0132 0132 2310 1023 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 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.749235775378 1.117123980804 5 3 5 3 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.687365607692 0.357198661579 4 5 4 5 0132 2310 1023 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 0.755085954049 0.133986623062 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(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' : negation(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_5' : d['c_0011_1'], 'c_1100_4' : negation(d['c_0011_1']), 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : d['c_0101_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_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_1, c_0101_1, c_0101_2, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 184603/74058*c_0101_5^9 - 36527/148116*c_0101_5^8 - 10585571/148116*c_0101_5^7 + 21756841/148116*c_0101_5^6 + 548265/49372*c_0101_5^5 - 11712473/49372*c_0101_5^4 + 60430283/148116*c_0101_5^3 - 1957052/12343*c_0101_5^2 - 58535281/148116*c_0101_5 + 12596479/74058, c_0011_0 - 1, c_0011_1 + 306899/37029*c_0101_2*c_0101_5^9 + 126028/37029*c_0101_2*c_0101_5^8 - 15856717/74058*c_0101_2*c_0101_5^7 + 29087231/74058*c_0101_2*c_0101_5^6 - 7873367/24686*c_0101_2*c_0101_5^5 - 794543/24686*c_0101_2*c_0101_5^4 + 43897267/74058*c_0101_2*c_0101_5^3 - 7299925/24686*c_0101_2*c_0101_5^2 - 2369587/37029*c_0101_2*c_0101_5 + 2945275/74058*c_0101_2, c_0101_1 - 79949/37029*c_0101_5^9 - 20842/37029*c_0101_5^8 + 2075072/37029*c_0101_5^7 - 4093072/37029*c_0101_5^6 + 1174725/12343*c_0101_5^5 - 3786/12343*c_0101_5^4 - 5817080/37029*c_0101_5^3 + 1195078/12343*c_0101_5^2 + 538492/37029*c_0101_5 - 482195/37029, c_0101_2^2 - 79949/37029*c_0101_5^9 - 20842/37029*c_0101_5^8 + 2075072/37029*c_0101_5^7 - 4093072/37029*c_0101_5^6 + 1174725/12343*c_0101_5^5 - 3786/12343*c_0101_5^4 - 5817080/37029*c_0101_5^3 + 1195078/12343*c_0101_5^2 + 538492/37029*c_0101_5 - 519224/37029, c_0101_4 + 456505/37029*c_0101_5^9 + 194477/37029*c_0101_5^8 - 11786413/37029*c_0101_5^7 + 21455615/37029*c_0101_5^6 - 5777481/12343*c_0101_5^5 - 633187/12343*c_0101_5^4 + 32467399/37029*c_0101_5^3 - 5258908/12343*c_0101_5^2 - 3567377/37029*c_0101_5 + 2130733/37029, c_0101_5^10 - 26*c_0101_5^8 + 58*c_0101_5^7 - 58*c_0101_5^6 + 12*c_0101_5^5 + 73*c_0101_5^4 - 65*c_0101_5^3 + 7*c_0101_5^2 + 8*c_0101_5 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB