Magma V2.19-8 Tue Aug 20 2013 16:16:17 on localhost [Seed = 1899031955] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0545 geometric_solution 4.56838403 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 3 0132 0132 2310 0132 0 0 0 0 0 -1 0 1 -1 0 0 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 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 0.720362015678 0.917862421523 0 0 4 4 0132 3201 3201 0132 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 0 0 0 0 0.385329467592 0.234383266229 5 0 3 5 0132 0132 3201 3201 0 0 0 0 0 1 -1 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 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 0.911158127960 0.655186508692 2 4 0 4 2310 1302 0132 2031 0 0 0 0 0 0 -1 1 1 0 -1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.720362015678 0.917862421523 1 3 1 3 2310 1302 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.894308516730 1.152245687752 2 2 6 6 0132 2310 0132 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 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.997835030834 0.666288840040 5 6 6 5 3201 3201 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 1 -1 0 1 0 -1 0 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.680173607482 0.110431043006 ==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_0011_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], '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_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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_1'])})} 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_4, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 10792/22575101*c_0101_5^10 - 88257216/22575101*c_0101_5^9 + 649043832/22575101*c_0101_5^8 - 859192400/22575101*c_0101_5^7 - 2270084476/22575101*c_0101_5^6 + 4952868630/22575101*c_0101_5^5 - 1902496400/22575101*c_0101_5^4 + 1284654779/22575101*c_0101_5^3 - 2254005612/22575101*c_0101_5^2 + 1679893967/22575101*c_0101_5 + 822191906/22575101, c_0011_0 - 1, c_0011_4 - 6098048/22575101*c_0101_5^10 + 43159760/22575101*c_0101_5^9 - 47054433/22575101*c_0101_5^8 - 172785650/22575101*c_0101_5^7 + 302949869/22575101*c_0101_5^6 - 50837784/22575101*c_0101_5^5 + 43695930/22575101*c_0101_5^4 - 83114967/22575101*c_0101_5^3 + 44409944/22575101*c_0101_5^2 + 93699609/22575101*c_0101_5 - 7508506/22575101, c_0011_6 - 1835843/22575101*c_0101_5^10 + 14359858/22575101*c_0101_5^9 - 23816189/22575101*c_0101_5^8 - 41167379/22575101*c_0101_5^7 + 127083656/22575101*c_0101_5^6 - 80423624/22575101*c_0101_5^5 + 35258196/22575101*c_0101_5^4 - 49681327/22575101*c_0101_5^3 + 49069217/22575101*c_0101_5^2 + 9740823/22575101*c_0101_5 - 22004359/22575101, c_0101_0 + 6098048/22575101*c_0101_5^10 - 43159760/22575101*c_0101_5^9 + 47054433/22575101*c_0101_5^8 + 172785650/22575101*c_0101_5^7 - 302949869/22575101*c_0101_5^6 + 50837784/22575101*c_0101_5^5 - 43695930/22575101*c_0101_5^4 + 83114967/22575101*c_0101_5^3 - 44409944/22575101*c_0101_5^2 - 93699609/22575101*c_0101_5 + 7508506/22575101, c_0101_1 + 570742/22575101*c_0101_5^10 - 2159351/22575101*c_0101_5^9 - 10364664/22575101*c_0101_5^8 + 40938449/22575101*c_0101_5^7 + 13771763/22575101*c_0101_5^6 - 127654398/22575101*c_0101_5^5 + 79852882/22575101*c_0101_5^4 - 25555582/22575101*c_0101_5^3 + 45686133/22575101*c_0101_5^2 - 37338214/22575101*c_0101_5 - 10882307/22575101, c_0101_2 + 5894403/22575101*c_0101_5^10 - 42480222/22575101*c_0101_5^9 + 50616715/22575101*c_0101_5^8 + 162612781/22575101*c_0101_5^7 - 313478776/22575101*c_0101_5^6 + 73429661/22575101*c_0101_5^5 - 41905687/22575101*c_0101_5^4 + 123244715/22575101*c_0101_5^3 - 75999213/22575101*c_0101_5^2 - 106069562/22575101*c_0101_5 - 176040/22575101, c_0101_5^11 - 7*c_0101_5^10 + 7*c_0101_5^9 + 30*c_0101_5^8 - 48*c_0101_5^7 - c_0101_5^6 - c_0101_5^5 + 17*c_0101_5^4 - 7*c_0101_5^3 - 19*c_0101_5^2 - 2*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB