Magma V2.19-8 Tue Aug 20 2013 16:15:59 on localhost [Seed = 3903419601] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0226 geometric_solution 4.08834857 oriented_manifold CS_known 0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 2 0132 0132 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.843188531174 0.713698898511 0 1 3 1 0132 2310 0321 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 -1 1 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 -0.701306744520 1.219937673620 4 0 4 0 0132 0132 1023 1023 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 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 0.761329511363 0.185705098012 5 5 1 0 0132 2310 0321 0132 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 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 0.293678659273 1.336625039028 2 6 2 6 0132 0132 1023 1023 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 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 0.816183157923 0.087989928050 3 6 6 3 0132 2031 3120 3201 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 -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 -0.239730245075 0.302397612642 5 4 5 4 1302 0132 3120 1023 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 -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 0.816183157923 0.087989928050 ==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' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(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_0101_0']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0101_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0101_0'], 'c_1100_2' : negation(d['c_0101_0']), 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(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' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : 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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0110_6']), 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : d['c_0110_6'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : d['c_0101_4']})} 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_0101_0, c_0101_1, c_0101_2, c_0101_4, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 371914/2817*c_0110_6^9 + 30641/939*c_0110_6^8 - 28540/939*c_0110_6^7 + 760660/939*c_0110_6^6 + 1257134/2817*c_0110_6^5 - 156793/939*c_0110_6^4 + 357544/939*c_0110_6^3 - 494737/2817*c_0110_6^2 + 107404/2817*c_0110_6 - 230809/2817, c_0011_0 - 1, c_0011_3 + 2696/2817*c_0110_6^9 - 142/939*c_0110_6^8 - 103/939*c_0110_6^7 - 5513/939*c_0110_6^6 - 10612/2817*c_0110_6^5 + 2315/939*c_0110_6^4 - 707/939*c_0110_6^3 + 1220/2817*c_0110_6^2 + 5287/2817*c_0110_6 + 521/2817, c_0101_0 - 1774/2817*c_0110_6^9 - 103/939*c_0110_6^8 - 121/939*c_0110_6^7 + 3652/939*c_0110_6^6 + 9641/2817*c_0110_6^5 + 641/939*c_0110_6^4 + 856/939*c_0110_6^3 + 5408/2817*c_0110_6^2 - 827/2817*c_0110_6 - 1348/2817, c_0101_1 + 4748/2817*c_0110_6^9 - 212/939*c_0110_6^8 - 167/939*c_0110_6^7 - 3252/313*c_0110_6^6 - 18625/2817*c_0110_6^5 + 1396/313*c_0110_6^4 - 1201/939*c_0110_6^3 - 1000/2817*c_0110_6^2 + 3163/2817*c_0110_6 + 866/2817, c_0101_2 - c_0110_6, c_0101_4 + 2696/2817*c_0110_6^9 - 142/939*c_0110_6^8 - 103/939*c_0110_6^7 - 5513/939*c_0110_6^6 - 10612/2817*c_0110_6^5 + 2315/939*c_0110_6^4 - 707/939*c_0110_6^3 + 1220/2817*c_0110_6^2 + 5287/2817*c_0110_6 + 521/2817, c_0110_6^10 + 1/2*c_0110_6^9 - 6*c_0110_6^7 - 8*c_0110_6^6 - c_0110_6^5 - 3/2*c_0110_6^4 - 1/2*c_0110_6^3 + c_0110_6^2 + 1/2*c_0110_6 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB