Magma V2.19-8 Tue Aug 20 2013 16:08:56 on localhost [Seed = 3667608674] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m186 geometric_solution 3.96380217 oriented_manifold CS_known 0.0000000000000009 1 0 torus 0.000000000000 0.000000000000 5 1 2 3 2 0132 0132 0132 3012 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 1 0 -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 0.889554982379 0.946770978498 0 1 1 2 0132 1230 3012 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.472913576404 0.560988515500 3 0 0 1 2031 0132 1230 0213 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 -1 0 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 0.472913576404 0.560988515500 4 4 2 0 0132 3201 1302 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.091060863776 0.530598170374 3 4 3 4 0132 1302 2310 2031 0 0 0 0 0 1 -1 0 1 0 0 -1 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 -0.468882524192 2.147957355058 ==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_4' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : 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_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0101_1'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], '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_4' : d['c_0011_0'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0101_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0011_0'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_2'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 6 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 19375717/2423624*c_0101_2^7 - 1161449/2423624*c_0101_2^6 - 9782289/1211812*c_0101_2^5 + 67519853/605906*c_0101_2^4 + 461669647/2423624*c_0101_2^3 + 33935485/173116*c_0101_2^2 + 1019294333/2423624*c_0101_2 + 219109353/2423624, c_0011_0 - 1, c_0011_3 - 49038/302953*c_0101_2^7 + 15311/302953*c_0101_2^6 - 48141/302953*c_0101_2^5 + 710107/302953*c_0101_2^4 + 866602/302953*c_0101_2^3 + 114821/43279*c_0101_2^2 + 1984107/302953*c_0101_2 + 22406/302953, c_0101_0 - 5192/302953*c_0101_2^7 + 11271/302953*c_0101_2^6 - 6728/302953*c_0101_2^5 + 102231/302953*c_0101_2^4 - 55306/302953*c_0101_2^3 - 16987/43279*c_0101_2^2 - 182585/302953*c_0101_2 - 279514/302953, c_0101_1 + 11271/302953*c_0101_2^7 - 1536/302953*c_0101_2^6 + 29543/302953*c_0101_2^5 - 174722/302953*c_0101_2^4 - 238325/302953*c_0101_2^3 - 63911/43279*c_0101_2^2 - 624003/302953*c_0101_2 + 5192/302953, c_0101_2^8 + c_0101_2^6 - 14*c_0101_2^5 - 23*c_0101_2^4 - 23*c_0101_2^3 - 51*c_0101_2^2 - 8*c_0101_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB