Magma V2.19-8 Tue Aug 20 2013 16:14:05 on localhost [Seed = 4054871500] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s022 geometric_solution 3.55381992 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 2 3 0132 0132 2103 0132 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 -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 0.783166562799 0.415122940129 0 1 2 1 0132 2310 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.988555146000 1.892567511656 0 0 3 1 2103 0132 2031 1302 0 0 0 0 0 1 -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 1 -1 0 0 0 0 0 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.003195152668 0.528363414137 4 4 0 2 0132 2310 0132 1302 0 0 0 0 0 0 -1 1 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 0 0 0 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 0.558834609927 0.374124685848 3 5 5 3 0132 0132 3201 3201 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 0 0 0 0 -0.730977281041 0.244148829596 4 4 5 5 2310 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.499837507889 0.137037829680 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : 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_5' : negation(d['c_0101_4']), 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0101_0'], 'c_1100_2' : d['c_0101_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_3']), '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' : d['c_0101_4'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : negation(d['c_0101_4']), 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(d['c_0101_4'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 839/2121*c_0101_5^8 + 176/2121*c_0101_5^7 + 7915/2121*c_0101_5^6 + 1/101*c_0101_5^5 + 1024/707*c_0101_5^4 - 1544/2121*c_0101_5^3 - 3914/2121*c_0101_5^2 - 2776/2121*c_0101_5 - 2834/2121, c_0011_0 - 1, c_0011_3 + 71/101*c_0101_5^8 + 61/101*c_0101_5^7 + 694/101*c_0101_5^6 + 514/101*c_0101_5^5 + 422/101*c_0101_5^4 + 810/101*c_0101_5^3 - 249/101*c_0101_5^2 + 383/101*c_0101_5 - 320/101, c_0101_0 - 61/101*c_0101_5^8 + 87/101*c_0101_5^7 - 656/101*c_0101_5^6 + 998/101*c_0101_5^5 - 1236/101*c_0101_5^4 + 1243/101*c_0101_5^3 - 981/101*c_0101_5^2 + 533/101*c_0101_5 - 314/101, c_0101_1 - 14/101*c_0101_5^8 + 15/101*c_0101_5^7 - 134/101*c_0101_5^6 + 186/101*c_0101_5^5 - 133/101*c_0101_5^4 + 277/101*c_0101_5^3 - 298/101*c_0101_5^2 + 172/101*c_0101_5 - 183/101, c_0101_4 - 123/101*c_0101_5^8 - 63/101*c_0101_5^7 - 1235/101*c_0101_5^6 - 458/101*c_0101_5^5 - 1118/101*c_0101_5^4 - 820/101*c_0101_5^3 + 181/101*c_0101_5^2 - 278/101*c_0101_5 + 506/101, c_0101_5^9 + 11*c_0101_5^7 - 2*c_0101_5^6 + 20*c_0101_5^5 - 6*c_0101_5^4 + 14*c_0101_5^3 - 7*c_0101_5^2 + 3*c_0101_5 - 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB