Magma V2.19-8 Tue Aug 20 2013 16:16:31 on localhost [Seed = 2446331254] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0814 geometric_solution 4.74786052 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 1023 2310 0 0 0 0 0 1 0 -1 0 0 0 0 1 0 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 -2.447615463293 1.940553616180 0 1 0 1 0132 1302 1023 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.332114354825 0.057277798260 0 0 4 3 3201 0132 0132 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 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 0.369542886800 0.478910939119 4 5 2 4 1230 0132 0132 1302 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 1 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 0.828352959683 0.635244026515 5 3 3 2 3201 3012 2031 0132 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 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 0.828352959683 0.635244026515 6 3 6 4 0132 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 1 -1 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 1.919579102304 1.206571804038 5 6 5 6 0132 2310 1023 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 -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 0.492373214955 0.454787456339 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : negation(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_0011_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0101_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : d['c_0101_4'], 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : 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' : negation(d['c_0101_4']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : negation(d['c_0101_4']), 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0011_0']), '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_3, c_0101_0, c_0101_1, c_0101_3, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 3284602093/10435412*c_0101_3*c_0101_5^10 - 2025595935/10435412*c_0101_3*c_0101_5^9 - 52035021653/10435412*c_0101_3*c_0101_5^8 - 795165753/2608853*c_0101_3*c_0101_5^7 - 193361131487/10435412*c_0101_3*c_0101_5^6 + 130103543629/10435412*c_0101_3*c_0101_5^5 + 88012316477/2608853*c_0101_3*c_0101_5^4 + 395744773763/10435412*c_0101_3*c_0101_5^3 + 311517194241/10435412*c_0101_3*c_0101_5^2 + 99743607733/10435412*c_0101_3*c_0101_5 + 3294753127/5217706*c_0101_3, c_0011_0 - 1, c_0011_3 + 22047365/3210896*c_0101_3*c_0101_5^10 + 4517359/1605448*c_0101_3*c_0101_5^9 + 173707383/1605448*c_0101_3*c_0101_5^8 - 50712079/3210896*c_0101_3*c_0101_5^7 + 1308495679/3210896*c_0101_3*c_0101_5^6 - 573453165/1605448*c_0101_3*c_0101_5^5 - 2123993877/3210896*c_0101_3*c_0101_5^4 - 2228203415/3210896*c_0101_3*c_0101_5^3 - 404249671/802724*c_0101_3*c_0101_5^2 - 160623691/1605448*c_0101_3*c_0101_5 + 36219831/3210896*c_0101_3, c_0101_0 - 41633165/3210896*c_0101_3*c_0101_5^10 - 4688633/802724*c_0101_3*c_0101_5^9 - 81980767/401362*c_0101_3*c_0101_5^8 + 68981785/3210896*c_0101_3*c_0101_5^7 - 2452947299/3210896*c_0101_3*c_0101_5^6 + 514009151/802724*c_0101_3*c_0101_5^5 + 4156436107/3210896*c_0101_3*c_0101_5^4 + 4296100675/3210896*c_0101_3*c_0101_5^3 + 1589088697/1605448*c_0101_3*c_0101_5^2 + 167504061/802724*c_0101_3*c_0101_5 - 77621789/3210896*c_0101_3, c_0101_1 - 3418091/123496*c_0101_5^10 - 186930/15437*c_0101_5^9 - 26923139/61748*c_0101_5^8 + 6361891/123496*c_0101_5^7 - 201795327/123496*c_0101_5^6 + 85802729/61748*c_0101_5^5 + 337708513/123496*c_0101_5^4 + 349985367/123496*c_0101_5^3 + 32203886/15437*c_0101_5^2 + 6651390/15437*c_0101_5 - 6174245/123496, c_0101_3^2 + 16037579/246992*c_0101_5^10 + 887341/30874*c_0101_5^9 + 63160379/61748*c_0101_5^8 - 28553755/246992*c_0101_5^7 + 946044261/246992*c_0101_5^6 - 99992127/30874*c_0101_5^5 - 1591108721/246992*c_0101_5^4 - 1646962837/246992*c_0101_5^3 - 607382581/123496*c_0101_5^2 - 15806068/15437*c_0101_5 + 28651647/246992, c_0101_4 + 1316329/123496*c_0101_5^10 + 568609/123496*c_0101_5^9 + 20735133/123496*c_0101_5^8 - 641143/30874*c_0101_5^7 + 77755003/123496*c_0101_5^6 - 66526301/123496*c_0101_5^5 - 16195697/15437*c_0101_5^4 - 134162231/123496*c_0101_5^3 - 98566581/123496*c_0101_5^2 - 20112365/123496*c_0101_5 + 292602/15437, c_0101_5^11 + c_0101_5^10 + 16*c_0101_5^9 + 7*c_0101_5^8 + 58*c_0101_5^7 - 17*c_0101_5^6 - 127*c_0101_5^5 - 158*c_0101_5^4 - 133*c_0101_5^3 - 58*c_0101_5^2 - 7*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB