Magma V2.19-8 Tue Aug 20 2013 16:18:08 on localhost [Seed = 1494795362] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2349 geometric_solution 5.72541931 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 1 0 -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 0.819662865773 0.862158344510 0 5 5 4 0132 0132 1023 1230 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 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 1.088424731457 0.332206495477 6 0 3 4 0132 0132 3201 2103 0 0 0 0 0 0 0 0 1 0 -1 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 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.537457587095 0.352192991128 2 6 6 0 2310 0132 3120 0132 0 0 0 0 0 0 1 -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 0 0 0 0 0 0 0 -1 0 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 0.267502803714 0.933515163953 1 6 0 2 3012 0321 0132 2103 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 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 0.232441591718 1.111260078354 5 1 1 5 3201 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.168124637158 0.191973356639 2 3 3 4 0132 0132 3120 0321 0 0 0 0 0 0 0 0 -1 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.267502803714 0.933515163953 ==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_0101_3']), 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : negation(d['c_0101_6']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_0101_6']), 'c_1100_3' : negation(d['c_0101_6']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_4'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_1001_0']), 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0011_4'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_6' : negation(d['c_0011_4']), 'c_1010_6' : negation(d['c_1001_0']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_1001_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_3'])})} 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_0101_1, c_0101_3, c_0101_5, c_0101_6, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 81116400/920083*c_1001_0^9 + 12074486/920083*c_1001_0^8 + 137928486/920083*c_1001_0^7 - 219575703/920083*c_1001_0^6 - 97653386/920083*c_1001_0^5 - 304900387/920083*c_1001_0^4 + 34420813/920083*c_1001_0^3 + 18821749/920083*c_1001_0^2 + 112000437/920083*c_1001_0 + 29380457/920083, c_0011_0 - 1, c_0011_4 + 50832/31727*c_1001_0^9 + 33210/31727*c_1001_0^8 + 155866/31727*c_1001_0^7 - 111097/31727*c_1001_0^6 - 58036/31727*c_1001_0^5 - 393181/31727*c_1001_0^4 - 130754/31727*c_1001_0^3 - 53986/31727*c_1001_0^2 + 110590/31727*c_1001_0 + 94693/31727, c_0101_1 - 318858/31727*c_1001_0^9 - 137158/31727*c_1001_0^8 - 532629/31727*c_1001_0^7 + 718574/31727*c_1001_0^6 + 668120/31727*c_1001_0^5 + 1234539/31727*c_1001_0^4 + 143371/31727*c_1001_0^3 - 221486/31727*c_1001_0^2 - 456376/31727*c_1001_0 - 189428/31727, c_0101_3 + 64794/31727*c_1001_0^9 - 20920/31727*c_1001_0^8 + 77035/31727*c_1001_0^7 - 177919/31727*c_1001_0^6 - 53110/31727*c_1001_0^5 - 74026/31727*c_1001_0^4 + 31341/31727*c_1001_0^3 + 61187/31727*c_1001_0^2 + 1662/31727*c_1001_0 + 19271/31727, c_0101_5 + 391932/31727*c_1001_0^9 + 137556/31727*c_1001_0^8 + 675588/31727*c_1001_0^7 - 922364/31727*c_1001_0^6 - 671993/31727*c_1001_0^5 - 1545311/31727*c_1001_0^4 - 106365/31727*c_1001_0^3 + 129445/31727*c_1001_0^2 + 523238/31727*c_1001_0 + 225966/31727, c_0101_6 - 64794/31727*c_1001_0^9 + 20920/31727*c_1001_0^8 - 77035/31727*c_1001_0^7 + 177919/31727*c_1001_0^6 + 53110/31727*c_1001_0^5 + 74026/31727*c_1001_0^4 - 31341/31727*c_1001_0^3 - 61187/31727*c_1001_0^2 - 1662/31727*c_1001_0 - 19271/31727, c_1001_0^10 + 2/3*c_1001_0^9 + 11/6*c_1001_0^8 - 11/6*c_1001_0^7 - 5/2*c_1001_0^6 - 9/2*c_1001_0^5 - 3/2*c_1001_0^4 + 1/3*c_1001_0^3 + 3/2*c_1001_0^2 + c_1001_0 + 1/6 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB