Magma V2.19-8 Tue Aug 20 2013 16:14:05 on localhost [Seed = 2362249393] 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' : 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' : 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 + 2117/37*c_0101_5^8 + 5414/37*c_0101_5^7 - 25159/37*c_0101_5^6 - 53073/37*c_0101_5^5 + 47050/37*c_0101_5^4 + 83634/37*c_0101_5^3 - 30814/37*c_0101_5^2 - 33748/37*c_0101_5 + 7902/37, c_0011_0 - 1, c_0011_3 + 27/37*c_0101_5^8 - 15/37*c_0101_5^7 - 436/37*c_0101_5^6 + 472/37*c_0101_5^5 + 1368/37*c_0101_5^4 - 1886/37*c_0101_5^3 - 425/37*c_0101_5^2 + 1189/37*c_0101_5 - 276/37, c_0101_0 - 69/37*c_0101_5^8 - 85/37*c_0101_5^7 + 958/37*c_0101_5^6 + 504/37*c_0101_5^5 - 2534/37*c_0101_5^4 + 277/37*c_0101_5^3 + 1415/37*c_0101_5^2 - 465/37*c_0101_5 - 10/37, c_0101_1 - 66/37*c_0101_5^8 - 25/37*c_0101_5^7 + 1000/37*c_0101_5^6 - 274/37*c_0101_5^5 - 3011/37*c_0101_5^4 + 2123/37*c_0101_5^3 + 1450/37*c_0101_5^2 - 1410/37*c_0101_5 + 243/37, c_0101_4 - 9/37*c_0101_5^8 + 5/37*c_0101_5^7 + 133/37*c_0101_5^6 - 182/37*c_0101_5^5 - 308/37*c_0101_5^4 + 826/37*c_0101_5^3 - 105/37*c_0101_5^2 - 532/37*c_0101_5 + 166/37, c_0101_5^9 + 2*c_0101_5^8 - 13*c_0101_5^7 - 18*c_0101_5^6 + 32*c_0101_5^5 + 24*c_0101_5^4 - 26*c_0101_5^3 - 7*c_0101_5^2 + 7*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB