Magma V2.19-8 Tue Aug 20 2013 16:18:47 on localhost [Seed = 3970789789] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2941 geometric_solution 6.13756710 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 1 0 -1 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 -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 0.449040576137 1.074590335078 0 5 6 3 0132 0132 0132 1302 0 0 0 0 0 -1 0 1 -1 0 0 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 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 0.158709249755 0.412993250149 6 0 5 4 0213 0132 0321 3201 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 -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 0.449040576137 1.074590335078 6 5 1 0 1302 1302 2031 0132 0 0 0 0 0 0 0 0 0 0 -1 1 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 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 0.433614854008 0.636020496571 4 2 0 4 3012 2310 0132 1230 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 -1 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 1.174846685218 0.842634989110 6 1 2 3 2031 0132 0321 2031 0 0 0 0 0 1 -1 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 -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 1.403055683493 1.340785985414 2 3 5 1 0213 2031 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.449040576137 1.074590335078 ==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' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_1001_0']), 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_6']), 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : negation(d['c_0011_0']), 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_6']), 'c_0101_2' : d['c_0011_6'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], '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_0011_4']), 'c_1001_4' : negation(d['c_1001_0']), 'c_1001_6' : negation(d['c_0101_0']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(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_0101_1']), 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_4']), '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_4, c_0011_6, c_0101_0, c_0101_1, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 4961616/2695243*c_1001_0^10 - 40808466/2695243*c_1001_0^9 + 60718861/2695243*c_1001_0^8 + 110127023/2695243*c_1001_0^7 - 198046770/2695243*c_1001_0^6 - 186737683/2695243*c_1001_0^5 - 1060443326/2695243*c_1001_0^4 - 541121714/2695243*c_1001_0^3 + 646562775/2695243*c_1001_0^2 - 42782869/2695243*c_1001_0 - 241491254/2695243, c_0011_0 - 1, c_0011_3 + 1104832/2695243*c_1001_0^10 - 4345672/2695243*c_1001_0^9 + 2181570/2695243*c_1001_0^8 + 11252279/2695243*c_1001_0^7 + 1321473/2695243*c_1001_0^6 + 30387548/2695243*c_1001_0^5 - 39892367/2695243*c_1001_0^4 - 20876533/2695243*c_1001_0^3 + 25424283/2695243*c_1001_0^2 - 562680/2695243*c_1001_0 - 4626422/2695243, c_0011_4 - 1991605/2695243*c_1001_0^10 + 7154819/2695243*c_1001_0^9 - 2346152/2695243*c_1001_0^8 - 18097114/2695243*c_1001_0^7 - 9461145/2695243*c_1001_0^6 - 65323151/2695243*c_1001_0^5 + 44842998/2695243*c_1001_0^4 + 23817188/2695243*c_1001_0^3 - 25020650/2695243*c_1001_0^2 - 162610/2695243*c_1001_0 + 1355466/2695243, c_0011_6 - 313439/2695243*c_1001_0^10 + 267421/2695243*c_1001_0^9 + 2585455/2695243*c_1001_0^8 - 3518339/2695243*c_1001_0^7 - 8985071/2695243*c_1001_0^6 - 15776306/2695243*c_1001_0^5 - 22478182/2695243*c_1001_0^4 + 17910401/2695243*c_1001_0^3 + 4564983/2695243*c_1001_0^2 - 7711792/2695243*c_1001_0 - 246350/2695243, c_0101_0 + 313439/2695243*c_1001_0^10 - 267421/2695243*c_1001_0^9 - 2585455/2695243*c_1001_0^8 + 3518339/2695243*c_1001_0^7 + 8985071/2695243*c_1001_0^6 + 15776306/2695243*c_1001_0^5 + 22478182/2695243*c_1001_0^4 - 17910401/2695243*c_1001_0^3 - 4564983/2695243*c_1001_0^2 + 7711792/2695243*c_1001_0 + 246350/2695243, c_0101_1 - 1668905/2695243*c_1001_0^10 + 6325424/2695243*c_1001_0^9 - 3213898/2695243*c_1001_0^8 - 14726847/2695243*c_1001_0^7 - 4442617/2695243*c_1001_0^6 - 53756471/2695243*c_1001_0^5 + 46911367/2695243*c_1001_0^4 + 8309519/2695243*c_1001_0^3 - 30095933/2695243*c_1001_0^2 + 5109664/2695243*c_1001_0 + 2627192/2695243, c_1001_0^11 - 3*c_1001_0^10 - c_1001_0^9 + 10*c_1001_0^8 + 10*c_1001_0^7 + 35*c_1001_0^6 - 3*c_1001_0^5 - 26*c_1001_0^4 + 8*c_1001_0^3 + 9*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