Magma V2.19-8 Tue Aug 20 2013 16:18:49 on localhost [Seed = 559987804] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2977 geometric_solution 6.15637825 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1302 2031 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.659132538177 0.713433876008 3 4 4 0 0132 0132 2103 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.301354591466 0.756201936479 4 3 0 3 2310 3201 0132 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.604996803081 0.472504109921 1 5 2 2 0132 0132 2310 0213 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 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 0.601782347870 0.543958850941 1 1 2 5 2103 0132 3201 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.750591605563 0.780145980140 6 3 6 4 0132 0132 1023 0213 0 0 0 0 0 -1 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 -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 1.151583647547 0.896976254135 5 6 5 6 0132 2310 1023 3201 0 0 0 0 0 0 0 0 0 0 -1 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 0 0 -1 1 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.649220229270 0.340914385016 ==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_5' : d['1'], 's_3_4' : 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' : 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' : d['c_0011_1'], 'c_1100_5' : negation(d['c_0011_1']), 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_6'], 'c_1100_0' : d['c_0101_6'], 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_6' : negation(d['c_0011_1']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0011_2']), 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0101_6']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : negation(d['c_0011_2']), 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : d['c_0101_6'], 'c_1010_2' : d['c_0011_2'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_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_2, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 11392030333774/487774283823*c_0101_6^14 - 69785343462560/487774283823*c_0101_6^13 + 199003146651029/487774283823*c_0101_6^12 - 447530642834818/487774283823*c_0101_6^11 + 547820601241708/487774283823*c_0101_6^10 - 31796480256352/487774283823*c_0101_6^9 - 989625118624214/487774283823*c_0101_6^8 + 1771078183515019/487774283823*c_0101_6^7 - 182158512977822/162591427941*c_0101_6^6 - 2105386790147714/487774283823*c_0101_6^5 + 1807863818705039/487774283823*c_0101_6^4 + 1204341852993571/487774283823*c_0101_6^3 - 1289271047761561/487774283823*c_0101_6^2 - 349608053551274/487774283823*c_0101_6 + 312276063068167/487774283823, c_0011_0 - 1, c_0011_1 + 1216332357367/704562854411*c_0101_6^14 - 7147970637018/704562854411*c_0101_6^13 + 19686164568253/704562854411*c_0101_6^12 - 44230211046469/704562854411*c_0101_6^11 + 51480029669093/704562854411*c_0101_6^10 - 143317934399/704562854411*c_0101_6^9 - 92308168219691/704562854411*c_0101_6^8 + 158926687924453/704562854411*c_0101_6^7 - 28478746271173/704562854411*c_0101_6^6 - 203601331704476/704562854411*c_0101_6^5 + 126561195642961/704562854411*c_0101_6^4 + 137149903266967/704562854411*c_0101_6^3 - 80707936041949/704562854411*c_0101_6^2 - 45200412562917/704562854411*c_0101_6 + 11931214218389/704562854411, c_0011_2 - 56198290100/54197142647*c_0101_6^14 + 330922827112/54197142647*c_0101_6^13 - 910661679363/54197142647*c_0101_6^12 + 2036912430994/54197142647*c_0101_6^11 - 2350802367734/54197142647*c_0101_6^10 - 90369427773/54197142647*c_0101_6^9 + 4445309038643/54197142647*c_0101_6^8 - 7500481031372/54197142647*c_0101_6^7 + 1305397583715/54197142647*c_0101_6^6 + 9735975767763/54197142647*c_0101_6^5 - 6194394932130/54197142647*c_0101_6^4 - 6517274325173/54197142647*c_0101_6^3 + 4011332331149/54197142647*c_0101_6^2 + 2178270476555/54197142647*c_0101_6 - 609583646851/54197142647, c_0101_1 + 389817843795/704562854411*c_0101_6^14 - 2274302704086/704562854411*c_0101_6^13 + 6213747655712/704562854411*c_0101_6^12 - 13903555338745/704562854411*c_0101_6^11 + 15855538740315/704562854411*c_0101_6^10 + 770867317080/704562854411*c_0101_6^9 - 29937563216280/704562854411*c_0101_6^8 + 50052845356442/704562854411*c_0101_6^7 - 7165259681564/704562854411*c_0101_6^6 - 66175675290305/704562854411*c_0101_6^5 + 39021531054011/704562854411*c_0101_6^4 + 45598970629180/704562854411*c_0101_6^3 - 24858298031351/704562854411*c_0101_6^2 - 14893443532837/704562854411*c_0101_6 + 3655676970064/704562854411, c_0101_2 + 1001459652/704562854411*c_0101_6^14 + 3066481780/704562854411*c_0101_6^13 - 21076331947/704562854411*c_0101_6^12 + 37477147574/704562854411*c_0101_6^11 - 132900300109/704562854411*c_0101_6^10 + 51292937434/704562854411*c_0101_6^9 + 72186683633/704562854411*c_0101_6^8 - 158112944201/704562854411*c_0101_6^7 + 359995403909/704562854411*c_0101_6^6 + 518210485630/704562854411*c_0101_6^5 - 319465140353/704562854411*c_0101_6^4 - 362637527092/704562854411*c_0101_6^3 - 94714997885/704562854411*c_0101_6^2 + 401669117624/704562854411*c_0101_6 + 698731943146/704562854411, c_0101_5 - 1001812361517/704562854411*c_0101_6^14 + 5952558191756/704562854411*c_0101_6^13 - 16628748534045/704562854411*c_0101_6^12 + 37694210034352/704562854411*c_0101_6^11 - 45451609787456/704562854411*c_0101_6^10 + 4557086924228/704562854411*c_0101_6^9 + 73400446389293/704562854411*c_0101_6^8 - 133866060544085/704562854411*c_0101_6^7 + 33214940237954/704562854411*c_0101_6^6 + 160786055234836/704562854411*c_0101_6^5 - 110143627030890/704562854411*c_0101_6^4 - 104145753752353/704562854411*c_0101_6^3 + 67400083103246/704562854411*c_0101_6^2 + 33910435327104/704562854411*c_0101_6 - 9608798052910/704562854411, c_0101_6^15 - 5*c_0101_6^14 + 11*c_0101_6^13 - 22*c_0101_6^12 + 10*c_0101_6^11 + 38*c_0101_6^10 - 77*c_0101_6^9 + 64*c_0101_6^8 + 93*c_0101_6^7 - 191*c_0101_6^6 - 43*c_0101_6^5 + 208*c_0101_6^4 + 32*c_0101_6^3 - 98*c_0101_6^2 - 23*c_0101_6 + 9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB