Magma V2.19-8 Tue Aug 20 2013 23:45:24 on localhost [Seed = 2244206669] Type ? for help. Type -D to quit. Loading file "K13n293__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n293 geometric_solution 11.30631909 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 -1 0 1 0 0 1 0 -1 -1 1 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 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.851955926195 0.727975868013 0 2 6 5 0132 0213 0132 0132 0 0 0 0 0 0 0 0 1 0 -1 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 -1 0 1 0 -1 0 0 1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.811124296017 0.504383835624 7 0 1 6 0132 0132 0213 3012 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 1 0 -1 0 0 0 0 0 1 0 -1 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.451374193211 0.681057442367 8 7 9 0 0132 0132 0132 0132 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 -2 2 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.679586236555 0.518664712013 9 6 0 10 0321 0132 0132 0132 0 0 0 0 0 0 0 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 -1 1 -2 0 0 2 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.511722843780 0.818118207284 8 10 1 9 2103 3120 0132 0321 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 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.414771953282 0.737255445857 11 4 2 1 0132 0132 1230 0132 0 0 0 0 0 0 0 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 0 0 0 0 0 1 -1 -2 0 0 2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.694286459366 0.741615506833 2 3 11 8 0132 0132 2031 0321 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 -1 1 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.608111914238 1.183780321768 3 7 5 10 0132 0321 2103 3120 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 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.774639523305 0.529054796361 4 5 11 3 0321 0321 0321 0132 0 0 0 0 0 0 0 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 -1 0 0 1 1 0 0 -1 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.219443486771 1.020501517477 8 5 4 11 3120 3120 0132 0321 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 1 -1 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.053919127645 1.074422249426 6 10 9 7 0132 0321 0321 1302 0 0 0 0 0 0 0 0 0 0 -1 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 0 2 -2 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.728251510684 0.581119210140 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : negation(d['c_1001_10']), 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : negation(d['c_0101_6']), 'c_1001_6' : d['c_1001_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_6']), 'c_1001_3' : negation(d['c_0011_10']), 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_0101_7'], 'c_1001_8' : d['c_0011_5'], 'c_1010_11' : negation(d['c_0011_5']), 'c_1010_10' : negation(d['c_0011_5']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_1'], 'c_0101_10' : negation(d['c_0011_9']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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' : negation(d['1']), 'c_1100_9' : d['c_1001_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_7'], 'c_1100_4' : d['c_1001_11'], 'c_1100_7' : d['c_0011_5'], 'c_1100_6' : d['c_0101_7'], 'c_1100_1' : d['c_0101_7'], 'c_1100_0' : d['c_1001_11'], 'c_1100_3' : d['c_1001_11'], 'c_1100_2' : negation(d['c_1001_10']), 's_0_10' : d['1'], 'c_1100_11' : d['c_0101_7'], 'c_1100_10' : d['c_1001_11'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : negation(d['c_0101_6']), 'c_1010_2' : negation(d['c_0101_6']), 'c_1010_1' : negation(d['c_1001_10']), 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : negation(d['c_0011_10']), 'c_1100_8' : d['c_0011_9'], '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_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : 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' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_11'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_6'], 'c_0110_10' : negation(d['c_0011_11']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_11']), 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_1']), 'c_0101_8' : d['c_0101_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_11']), 'c_0110_8' : negation(d['c_0011_11']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0011_9']), 'c_0110_4' : negation(d['c_0011_9']), 'c_0110_7' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_5, c_0011_9, c_0101_0, c_0101_1, c_0101_6, c_0101_7, c_1001_1, c_1001_10, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 1189/2*c_1001_11 + 8119/4, c_0011_0 - 1, c_0011_10 + c_1001_11 - 1, c_0011_11 + c_1001_11 - 1, c_0011_5 - 2*c_1001_11 + 1, c_0011_9 + c_1001_11 - 1, c_0101_0 - 2*c_1001_11 + 2, c_0101_1 - c_1001_11 + 1, c_0101_6 + c_1001_11, c_0101_7 - 1, c_1001_1 - 1, c_1001_10 + c_1001_11 - 1, c_1001_11^2 - 4*c_1001_11 + 2 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_5, c_0011_9, c_0101_0, c_0101_1, c_0101_6, c_0101_7, c_1001_1, c_1001_10, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 43552753/119842272*c_1001_11^10 - 104957/59921136*c_1001_11^9 + 875599/2102496*c_1001_11^8 + 3604517/1248357*c_1001_11^7 - 71009491/39947424*c_1001_11^6 + 696131761/119842272*c_1001_11^5 + 123808145/14980284*c_1001_11^4 - 144196427/19973712*c_1001_11^3 + 182922305/14980284*c_1001_11^2 + 106886/3745071*c_1001_11 + 20938189/3745071, c_0011_0 - 1, c_0011_10 - 349/10032*c_1001_11^10 - 289/5016*c_1001_11^9 + 1/176*c_1001_11^8 - 69/209*c_1001_11^7 - 637/3344*c_1001_11^6 - 229/10032*c_1001_11^5 - 1153/627*c_1001_11^4 + 47/1672*c_1001_11^3 + 815/2508*c_1001_11^2 - 2693/1254*c_1001_11 - 293/627, c_0011_11 - 91/10032*c_1001_11^10 + 119/5016*c_1001_11^9 - 1/176*c_1001_11^8 - 35/836*c_1001_11^7 + 421/3344*c_1001_11^6 - 1495/10032*c_1001_11^5 - 505/2508*c_1001_11^4 + 573/1672*c_1001_11^3 - 235/2508*c_1001_11^2 - 2291/1254*c_1001_11 + 10/627, c_0011_5 - 701/10032*c_1001_11^10 - 83/5016*c_1001_11^9 + 1/176*c_1001_11^8 - 445/836*c_1001_11^7 + 923/3344*c_1001_11^6 - 3569/10032*c_1001_11^5 - 5183/2508*c_1001_11^4 + 2443/1672*c_1001_11^3 + 481/2508*c_1001_11^2 - 2599/1254*c_1001_11 - 223/627, c_0011_9 + 15/3344*c_1001_11^10 - 3/209*c_1001_11^9 + 15/176*c_1001_11^8 - 113/1672*c_1001_11^7 - 47/3344*c_1001_11^6 + 167/304*c_1001_11^5 - 1289/1672*c_1001_11^4 + 1435/1672*c_1001_11^3 + 111/209*c_1001_11^2 - 863/418*c_1001_11 + 142/209, c_0101_0 - 295/5016*c_1001_11^10 - 101/5016*c_1001_11^9 - 3/88*c_1001_11^8 - 771/1672*c_1001_11^7 + 401/1672*c_1001_11^6 - 25/57*c_1001_11^5 - 7471/5016*c_1001_11^4 + 1275/836*c_1001_11^3 - 953/2508*c_1001_11^2 + 17/1254*c_1001_11 + 824/627, c_0101_1 + 47/2508*c_1001_11^10 + 197/5016*c_1001_11^9 + 1/44*c_1001_11^8 + 377/1672*c_1001_11^7 + 39/418*c_1001_11^6 + 1357/5016*c_1001_11^5 + 5179/5016*c_1001_11^4 + 61/836*c_1001_11^3 + 2369/2508*c_1001_11^2 - 40/627*c_1001_11 + 280/627, c_0101_6 + 227/3344*c_1001_11^10 - 3/836*c_1001_11^9 + 7/176*c_1001_11^8 + 841/1672*c_1001_11^7 - 1223/3344*c_1001_11^6 + 1965/3344*c_1001_11^5 + 257/152*c_1001_11^4 - 3123/1672*c_1001_11^3 + 9/19*c_1001_11^2 + 379/209*c_1001_11 - 69/209, c_0101_7 - 91/10032*c_1001_11^10 + 119/5016*c_1001_11^9 - 1/176*c_1001_11^8 - 35/836*c_1001_11^7 + 421/3344*c_1001_11^6 - 1495/10032*c_1001_11^5 - 505/2508*c_1001_11^4 + 573/1672*c_1001_11^3 - 235/2508*c_1001_11^2 - 1037/1254*c_1001_11 + 10/627, c_1001_1 - 91/10032*c_1001_11^10 + 119/5016*c_1001_11^9 - 1/176*c_1001_11^8 - 35/836*c_1001_11^7 + 421/3344*c_1001_11^6 - 1495/10032*c_1001_11^5 - 505/2508*c_1001_11^4 + 573/1672*c_1001_11^3 - 235/2508*c_1001_11^2 - 1037/1254*c_1001_11 + 10/627, c_1001_10 + 211/5016*c_1001_11^10 + 2/57*c_1001_11^9 - 3/88*c_1001_11^8 + 345/836*c_1001_11^7 - 141/1672*c_1001_11^6 + 193/5016*c_1001_11^5 + 4853/2508*c_1001_11^4 - 1357/836*c_1001_11^3 - 244/627*c_1001_11^2 + 1277/627*c_1001_11 - 25/57, c_1001_11^11 + c_1001_11^10 + c_1001_11^9 + 9*c_1001_11^8 + 3*c_1001_11^7 + 10*c_1001_11^6 + 39*c_1001_11^5 + 2*c_1001_11^4 + 10*c_1001_11^3 + 36*c_1001_11^2 + 16*c_1001_11 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.700 Total time: 0.920 seconds, Total memory usage: 64.12MB