Magma V2.19-8 Tue Aug 20 2013 16:16:05 on localhost [Seed = 829468158] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0329 geometric_solution 4.35978253 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 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 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 1.631544232635 0.069830574536 0 2 2 0 3201 0132 1023 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.615860609564 0.235174620143 3 1 1 4 0132 0132 1023 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.452932214211 0.840635336233 2 4 6 5 0132 2310 0132 0132 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 -1 0 1 -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 0.307751911507 0.396439356015 5 6 2 3 3120 3012 0132 3201 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 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.307751911507 0.396439356015 6 6 3 4 1302 0213 0132 3120 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 -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 0.579144243417 0.429986782122 4 5 5 3 1230 2031 0213 0132 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 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 1.162558626653 1.187781882709 ==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_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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0011_4'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : negation(d['c_0011_6']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0110_4']), 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_6' : negation(d['c_0110_4']), 'c_1001_1' : negation(d['c_0011_6']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_6']), 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0110_4'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : negation(d['c_0011_6']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_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_1, c_0011_4, c_0011_5, c_0011_6, c_0101_0, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 212356678482925/5411506349536*c_0110_4^11 + 933273414425493/2705753174768*c_0110_4^10 - 1280137181431107/1352876587384*c_0110_4^9 + 3884795103667383/2705753174768*c_0110_4^8 - 22585209861244117/5411506349536*c_0110_4^7 + 11937246799344493/5411506349536*c_0110_4^6 - 5689765527558797/1352876587384*c_0110_4^5 + 6843356214672505/5411506349536*c_0110_4^4 + 5140052866821013/5411506349536*c_0110_4^3 + 6786273802605295/5411506349536*c_0110_4^2 + 31670354984037/193268083912*c_0110_4 + 618111375560859/5411506349536, c_0011_0 - 1, c_0011_1 + 2241820721/24158510489*c_0110_4^11 - 21878407196/24158510489*c_0110_4^10 + 73828744289/24158510489*c_0110_4^9 - 140258089188/24158510489*c_0110_4^8 + 333581935173/24158510489*c_0110_4^7 - 380136507789/24158510489*c_0110_4^6 + 433258453323/24158510489*c_0110_4^5 - 342138379879/24158510489*c_0110_4^4 + 71678121519/24158510489*c_0110_4^3 - 46217395061/24158510489*c_0110_4^2 + 6840279317/24158510489*c_0110_4 - 15172604168/24158510489, c_0011_4 + 1206669752/24158510489*c_0110_4^11 - 11085571645/24158510489*c_0110_4^10 + 33032727442/24158510489*c_0110_4^9 - 52989776577/24158510489*c_0110_4^8 + 136431464124/24158510489*c_0110_4^7 - 99990224192/24158510489*c_0110_4^6 + 114172576000/24158510489*c_0110_4^5 - 44551464365/24158510489*c_0110_4^4 - 79084545363/24158510489*c_0110_4^3 - 2583349499/24158510489*c_0110_4^2 - 4980048059/24158510489*c_0110_4 - 3401069355/24158510489, c_0011_5 - c_0110_4, c_0011_6 - 3581802591/24158510489*c_0110_4^11 + 32000327147/24158510489*c_0110_4^10 - 90854283119/24158510489*c_0110_4^9 + 143371564841/24158510489*c_0110_4^8 - 401586432067/24158510489*c_0110_4^7 + 261009594387/24158510489*c_0110_4^6 - 410164836315/24158510489*c_0110_4^5 + 187688732975/24158510489*c_0110_4^4 + 87086953857/24158510489*c_0110_4^3 + 100285402169/24158510489*c_0110_4^2 + 19283512169/24158510489*c_0110_4 + 18230663/24158510489, c_0101_0 + 6840126645/24158510489*c_0110_4^11 - 58725571195/24158510489*c_0110_4^10 + 152371515510/24158510489*c_0110_4^9 - 214093467896/24158510489*c_0110_4^8 + 669962231883/24158510489*c_0110_4^7 - 228245261664/24158510489*c_0110_4^6 + 630263890783/24158510489*c_0110_4^5 - 62694058721/24158510489*c_0110_4^4 - 223105179752/24158510489*c_0110_4^3 - 233671697269/24158510489*c_0110_4^2 - 55961119092/24158510489*c_0110_4 - 4255098026/24158510489, c_0110_4^12 - 9*c_0110_4^11 + 26*c_0110_4^10 - 42*c_0110_4^9 + 115*c_0110_4^8 - 80*c_0110_4^7 + 123*c_0110_4^6 - 57*c_0110_4^5 - 14*c_0110_4^4 - 28*c_0110_4^3 + c_0110_4^2 - 3*c_0110_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB