Magma V2.19-8 Tue Aug 20 2013 16:19:27 on localhost [Seed = 3869735898] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3550 geometric_solution 7.01246572 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 1 2 1 0132 1230 0132 2031 0 0 1 0 0 -1 -1 2 1 0 -1 0 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 1 0 -1 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 0.538334291164 0.968350939189 0 0 0 3 0132 1302 3012 0132 0 0 0 1 0 0 -1 1 -1 0 1 0 1 -2 0 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 -1 0 1 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 0.561441085499 0.788875878272 4 5 6 0 0132 0132 0132 0132 0 0 0 0 0 0 -1 1 -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 -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 0.401155853987 0.841430586103 4 6 1 5 1230 3012 0132 2103 0 0 0 0 0 1 -1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.561441085499 0.788875878272 2 3 4 4 0132 3012 1230 3012 0 0 0 0 0 -1 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 0 0 0 0 -1 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 0 0 0 0.401155853987 0.841430586103 5 2 5 3 2310 0132 3201 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.130896119020 1.103382652958 3 6 6 2 1230 3201 2310 0132 0 0 0 0 0 -1 0 1 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 0.561441085499 0.788875878272 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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_2'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : d['c_0011_6'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : d['c_0011_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_5']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : negation(d['c_0101_5']), 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : d['c_0101_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : negation(d['c_0011_2']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_6'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0101_6']), 'c_1010_2' : negation(d['c_0101_5']), 'c_1010_1' : negation(d['c_0011_6']), 'c_1010_0' : negation(d['c_0011_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_2, c_0011_3, c_0011_6, c_0101_0, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 35468/197*c_0101_6^5 + 111816/197*c_0101_6^4 - 41329/197*c_0101_6^3 - 281857/394*c_0101_6^2 + 73253/394*c_0101_6 + 9077/394, c_0011_0 - 1, c_0011_2 + 472/197*c_0101_6^5 + 1584/197*c_0101_6^4 - 142/197*c_0101_6^3 - 1677/197*c_0101_6^2 + 169/197*c_0101_6 + 147/197, c_0011_3 - 368/197*c_0101_6^5 - 1048/197*c_0101_6^4 + 872/197*c_0101_6^3 + 1608/197*c_0101_6^2 - 863/197*c_0101_6 - 148/197, c_0011_6 - 112/197*c_0101_6^5 - 456/197*c_0101_6^4 - 180/197*c_0101_6^3 + 438/197*c_0101_6^2 + 20/197*c_0101_6 + 92/197, c_0101_0 - 1, c_0101_5 + 112/197*c_0101_6^5 + 456/197*c_0101_6^4 + 180/197*c_0101_6^3 - 438/197*c_0101_6^2 - 20/197*c_0101_6 + 105/197, c_0101_6^6 + 3*c_0101_6^5 - 7/4*c_0101_6^4 - 33/8*c_0101_6^3 + 7/4*c_0101_6^2 + 3/8*c_0101_6 - 1/8 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0011_6, c_0101_0, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 38352/4495*c_0101_6^6 + 36324/4495*c_0101_6^5 - 254816/4495*c_0101_6^4 - 150473/4495*c_0101_6^3 + 67090/899*c_0101_6^2 + 307909/4495*c_0101_6 + 4054/4495, c_0011_0 - 1, c_0011_2 - 3072/4495*c_0101_6^6 - 3399/4495*c_0101_6^5 + 21896/4495*c_0101_6^4 + 17223/4495*c_0101_6^3 - 6867/899*c_0101_6^2 - 32399/4495*c_0101_6 + 401/4495, c_0011_3 - 2892/4495*c_0101_6^6 - 2199/4495*c_0101_6^5 + 18506/4495*c_0101_6^4 + 6223/4495*c_0101_6^3 - 4326/899*c_0101_6^2 - 12784/4495*c_0101_6 + 676/4495, c_0011_6 + 366/4495*c_0101_6^6 + 642/4495*c_0101_6^5 - 2398/4495*c_0101_6^4 - 2289/4495*c_0101_6^3 + 1301/899*c_0101_6^2 + 1077/4495*c_0101_6 - 1988/4495, c_0101_0 - 1, c_0101_5 - 366/4495*c_0101_6^6 - 642/4495*c_0101_6^5 + 2398/4495*c_0101_6^4 + 2289/4495*c_0101_6^3 - 1301/899*c_0101_6^2 - 1077/4495*c_0101_6 + 6483/4495, c_0101_6^7 + c_0101_6^6 - 20/3*c_0101_6^5 - 13/3*c_0101_6^4 + 9*c_0101_6^3 + 26/3*c_0101_6^2 - 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB