Magma V2.19-8 Tue Aug 20 2013 16:18:18 on localhost [Seed = 3297073651] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2509 geometric_solution 5.83035811 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 3120 0132 0 0 0 0 0 -1 0 1 1 0 -1 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 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 1.209760901377 0.763616865474 0 4 2 5 0132 0132 2103 0132 0 0 0 0 0 1 -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 0 0 0 0 0 0 0 -1 0 0 1 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.618662545971 1.136725859845 1 0 0 3 2103 0132 3120 3201 0 0 0 0 0 1 -1 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 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 0.451827267562 0.368426293733 4 2 0 4 3201 2310 0132 1230 0 0 0 0 0 1 -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 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 0.630624754069 0.678687269452 3 1 5 3 3012 0132 2031 2310 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 0 0 0 0 0 0 0 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.630624754069 0.678687269452 6 6 1 4 0132 3201 0132 1302 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 0 0 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 0 0 0 0 0 0 0.147453162130 0.379586175963 5 6 5 6 0132 1302 2310 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.687815023776 2.474424157642 ==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' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_5'], 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : negation(d['c_0101_1']), 'c_1100_3' : negation(d['c_0101_1']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_3'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_5']), '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' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_1001_0']), 'c_1001_2' : negation(d['c_1001_0']), 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : negation(d['c_0101_4']), 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_6']), 'c_1010_0' : negation(d['c_1001_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_3, c_0011_5, c_0101_1, c_0101_4, c_0101_6, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 2817919/66*c_1001_0^14 + 568055/2*c_1001_0^13 - 4299271/4*c_1001_0^12 + 771163079/264*c_1001_0^11 - 205595779/33*c_1001_0^10 + 478589693/44*c_1001_0^9 - 2094423971/132*c_1001_0^8 + 1719695341/88*c_1001_0^7 - 481874449/24*c_1001_0^6 + 69043755/4*c_1001_0^5 - 1044042557/88*c_1001_0^4 + 259949611/44*c_1001_0^3 - 42170891/22*c_1001_0^2 + 94044967/264*c_1001_0 - 2518995/88, c_0011_0 - 1, c_0011_3 - 23696*c_1001_0^14 + 155448*c_1001_0^13 - 583180*c_1001_0^12 + 1573496*c_1001_0^11 - 3334424*c_1001_0^10 + 5785645*c_1001_0^9 - 8387463*c_1001_0^8 + 10264017*c_1001_0^7 - 10463362*c_1001_0^6 + 8926612*c_1001_0^5 - 6060985*c_1001_0^4 + 2960262*c_1001_0^3 - 937228*c_1001_0^2 + 169516*c_1001_0 - 13242, c_0011_5 - 7208*c_1001_0^14 + 47568*c_1001_0^13 - 179224*c_1001_0^12 + 485390*c_1001_0^11 - 1032236*c_1001_0^10 + 1797357*c_1001_0^9 - 2615229*c_1001_0^8 + 3213028*c_1001_0^7 - 3291562*c_1001_0^6 + 2823056*c_1001_0^5 - 1932309*c_1001_0^4 + 957450*c_1001_0^3 - 309762*c_1001_0^2 + 57618*c_1001_0 - 4653, c_0101_1 - 18192*c_1001_0^14 + 119576*c_1001_0^13 - 449164*c_1001_0^12 + 1213188*c_1001_0^11 - 2573348*c_1001_0^10 + 4469207*c_1001_0^9 - 6485114*c_1001_0^8 + 7943845*c_1001_0^7 - 8107897*c_1001_0^6 + 6925427*c_1001_0^5 - 4711268*c_1001_0^4 + 2308286*c_1001_0^3 - 733846*c_1001_0^2 + 133366*c_1001_0 - 10472, c_0101_4 + 34776*c_1001_0^14 - 227504*c_1001_0^13 + 852008*c_1001_0^12 - 2295410*c_1001_0^11 + 4857716*c_1001_0^10 - 8417819*c_1001_0^9 + 12187215*c_1001_0^8 - 14893328*c_1001_0^7 + 15156830*c_1001_0^6 - 12908907*c_1001_0^5 + 8741100*c_1001_0^4 - 4250355*c_1001_0^3 + 1337852*c_1001_0^2 - 240364*c_1001_0 + 18642, c_0101_6 + 52*c_1001_0^14 - 360*c_1001_0^13 + 1402*c_1001_0^12 - 3907*c_1001_0^11 + 8531*c_1001_0^10 - 15245*c_1001_0^9 + 22786*c_1001_0^8 - 28807*c_1001_0^7 + 30558*c_1001_0^6 - 27212*c_1001_0^5 + 19682*c_1001_0^4 - 10699*c_1001_0^3 + 3987*c_1001_0^2 - 907*c_1001_0 + 96, c_1001_0^15 - 7*c_1001_0^14 + 55/2*c_1001_0^13 - 309/4*c_1001_0^12 + 170*c_1001_0^11 - 1225/4*c_1001_0^10 + 1847/4*c_1001_0^9 - 1179/2*c_1001_0^8 + 633*c_1001_0^7 - 572*c_1001_0^6 + 845/2*c_1001_0^5 - 953/4*c_1001_0^4 + 95*c_1001_0^3 - 99/4*c_1001_0^2 + 15/4*c_1001_0 - 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB