Magma V2.19-8 Wed Aug 21 2013 00:56:59 on localhost [Seed = 2901063290] Type ? for help. Type -D to quit. Loading file "L13n3252__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3252 geometric_solution 12.53400854 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 0 1 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 -1 0 1 0 0 -2 2 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.523025970767 1.030909782669 0 5 7 6 0132 0132 0132 0132 1 1 1 0 0 0 0 0 0 0 -1 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 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.329278697799 0.742816742115 8 0 10 9 0132 0132 0132 0132 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 0 0 0 0 0 0 1 0 -1 -1 0 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 0.523025970767 1.030909782669 5 11 10 0 2103 0132 0321 0132 1 1 1 1 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 -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 1.028215444345 0.915058578889 9 6 0 7 0132 0132 0132 0132 1 1 1 0 0 0 0 0 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 0 -1 1 2 0 -2 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.606937948726 0.694314213508 8 1 3 6 1023 0132 2103 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.228211191968 1.110257381283 5 4 1 10 3120 0132 0132 0321 1 1 0 1 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 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.867323346141 0.806661117217 12 11 4 1 0132 3012 0132 0132 1 1 0 1 0 0 0 0 -1 0 0 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 1 -1 0 -3 0 0 3 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.672776980752 0.825130327765 2 5 12 11 0132 1023 0132 0213 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 0 0 0 0 0 0 0 0 0 0 1 0 0 -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 0.329278697799 0.742816742115 4 11 2 12 0132 0213 0132 0132 1 1 0 1 0 0 0 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 1 -1 -2 0 -1 3 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.606937948726 0.694314213508 12 6 3 2 1230 0321 0321 0132 1 1 0 1 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 1 -3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.028215444345 0.915058578889 7 3 9 8 1230 0132 0213 0213 1 0 1 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 0 0 0 0 0 0 0 0 0 0 -1 1 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.381786846398 0.574974160884 7 10 9 8 0132 3012 0132 0132 1 1 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 0 0 0 0 0 0 0 0 -1 1 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.672776980752 0.825130327765 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : negation(d['c_0011_11']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0101_10']), 'c_1010_12' : negation(d['c_0101_10']), 'c_1010_11' : d['c_1001_3'], 'c_1010_10' : d['c_1001_2'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_4']), 'c_0101_10' : d['c_0101_10'], '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_2_7' : d['1'], 's_2_12' : 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' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_0']), 'c_1100_4' : d['c_1001_10'], 'c_1100_7' : d['c_1001_10'], 'c_1100_6' : d['c_1001_10'], 'c_1100_1' : d['c_1001_10'], 'c_1100_0' : d['c_1001_10'], 'c_1100_3' : d['c_1001_10'], 'c_1100_2' : d['c_1001_3'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_1001_3'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0011_11']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_11']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : negation(d['c_0011_10']), 'c_1100_8' : d['c_1001_3'], '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'], 'c_1100_12' : d['c_1001_3'], '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' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_11']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_12']), 'c_0110_10' : d['c_0011_12'], 'c_0110_12' : d['c_0101_7'], 'c_0101_12' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_10']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_10']), 'c_0101_2' : d['c_0011_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_7'], 'c_0101_8' : d['c_0101_7'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0011_12'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1001_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_10'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_7, c_1001_0, c_1001_10, c_1001_2, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 11578801554/177275*c_1001_3^6 - 297145721113/1240925*c_1001_3^5 - 194069765944/1240925*c_1001_3^4 - 27076056689/177275*c_1001_3^3 - 60459121732/1240925*c_1001_3^2 - 2278392279/248185*c_1001_3 + 30434762697/1240925, c_0011_0 - 1, c_0011_10 - 1077146/43559*c_1001_3^6 - 91694/1013*c_1001_3^5 - 2569633/43559*c_1001_3^4 - 2545718/43559*c_1001_3^3 - 814082/43559*c_1001_3^2 - 188370/43559*c_1001_3 + 412903/43559, c_0011_11 + 32711/1013*c_1001_3^6 + 119505/1013*c_1001_3^5 + 77622/1013*c_1001_3^4 + 78197/1013*c_1001_3^3 + 23845/1013*c_1001_3^2 + 4873/1013*c_1001_3 - 12578/1013, c_0011_12 + 588091/43559*c_1001_3^6 + 50300/1013*c_1001_3^5 + 1403887/43559*c_1001_3^4 + 1288569/43559*c_1001_3^3 + 418678/43559*c_1001_3^2 + 64779/43559*c_1001_3 - 233919/43559, c_0011_4 + 318626/43559*c_1001_3^6 + 26965/1013*c_1001_3^5 + 734952/43559*c_1001_3^4 + 726861/43559*c_1001_3^3 + 180950/43559*c_1001_3^2 - 1604/43559*c_1001_3 - 112634/43559, c_0101_0 - 1, c_0101_1 + 107219/43559*c_1001_3^6 + 8444/1013*c_1001_3^5 + 143597/43559*c_1001_3^4 + 186331/43559*c_1001_3^3 + 74575/43559*c_1001_3^2 + 14986/43559*c_1001_3 - 23178/43559, c_0101_10 - 1470/1013*c_1001_3^6 - 5985/1013*c_1001_3^5 - 6679/1013*c_1001_3^4 - 7999/1013*c_1001_3^3 - 3253/1013*c_1001_3^2 - 1550/1013*c_1001_3 + 1004/1013, c_0101_7 + 6769/1013*c_1001_3^6 + 25027/1013*c_1001_3^5 + 17099/1013*c_1001_3^4 + 17244/1013*c_1001_3^3 + 6938/1013*c_1001_3^2 + 577/1013*c_1001_3 - 2520/1013, c_1001_0 + 16485/1013*c_1001_3^6 + 59520/1013*c_1001_3^5 + 36768/1013*c_1001_3^4 + 38836/1013*c_1001_3^3 + 11951/1013*c_1001_3^2 + 2766/1013*c_1001_3 - 5760/1013, c_1001_10 - c_1001_3, c_1001_2 - 206045/43559*c_1001_3^6 - 17283/1013*c_1001_3^5 - 463271/43559*c_1001_3^4 - 500393/43559*c_1001_3^3 - 137036/43559*c_1001_3^2 - 61594/43559*c_1001_3 + 67116/43559, c_1001_3^7 + 23/7*c_1001_3^6 + c_1001_3^5 + 10/7*c_1001_3^4 - 1/7*c_1001_3^3 - 1/7*c_1001_3^2 - 3/7*c_1001_3 + 1/7 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_7, c_1001_0, c_1001_10, c_1001_2, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 38326/1024247*c_1001_3^9 - 10831934/17412199*c_1001_3^8 + 2194433/17412199*c_1001_3^7 - 3656811/17412199*c_1001_3^6 + 27731377/17412199*c_1001_3^5 - 61689557/17412199*c_1001_3^4 + 5461872/2487457*c_1001_3^3 - 31033424/17412199*c_1001_3^2 + 1072335/2487457*c_1001_3 - 172560289/17412199, c_0011_0 - 1, c_0011_10 - 1104/20903*c_1001_3^9 - 502/20903*c_1001_3^8 - 906/20903*c_1001_3^7 + 1566/20903*c_1001_3^6 + 151/20903*c_1001_3^5 - 997/20903*c_1001_3^4 - 1108/20903*c_1001_3^3 - 2166/20903*c_1001_3^2 - 2300/20903*c_1001_3 - 18446/20903, c_0011_11 - 1392/20903*c_1001_3^9 + 4820/20903*c_1001_3^8 - 2960/20903*c_1001_3^7 + 4701/20903*c_1001_3^6 - 13442/20903*c_1001_3^5 + 29643/20903*c_1001_3^4 - 27753/20903*c_1001_3^3 + 12719/20903*c_1001_3^2 - 2900/20903*c_1001_3 + 60354/20903, c_0011_12 - 994/20903*c_1001_3^9 + 3562/20903*c_1001_3^8 - 3315/20903*c_1001_3^7 + 2546/20903*c_1001_3^6 - 9899/20903*c_1001_3^5 + 19816/20903*c_1001_3^4 - 17205/20903*c_1001_3^3 + 11455/20903*c_1001_3^2 + 1413/20903*c_1001_3 + 44359/20903, c_0011_4 - 555/20903*c_1001_3^9 - 1502/20903*c_1001_3^8 + 1703/20903*c_1001_3^7 - 1144/20903*c_1001_3^6 + 3200/20903*c_1001_3^5 - 7147/20903*c_1001_3^4 + 13757/20903*c_1001_3^3 - 5065/20903*c_1001_3^2 - 6382/20903*c_1001_3 - 11886/20903, c_0101_0 - 1, c_0101_1 + 3669/20903*c_1001_3^9 + 4054/20903*c_1001_3^8 - 3010/20903*c_1001_3^7 - 5318/20903*c_1001_3^6 + 14437/20903*c_1001_3^5 + 10300/20903*c_1001_3^4 - 6542/20903*c_1001_3^3 + 20490/20903*c_1001_3^2 + 65127/20903*c_1001_3 + 58690/20903, c_0101_10 - 288/20903*c_1001_3^9 + 5322/20903*c_1001_3^8 - 2054/20903*c_1001_3^7 + 3135/20903*c_1001_3^6 - 13593/20903*c_1001_3^5 + 30640/20903*c_1001_3^4 - 26645/20903*c_1001_3^3 + 14885/20903*c_1001_3^2 - 600/20903*c_1001_3 + 78800/20903, c_0101_7 - 555/20903*c_1001_3^9 - 1502/20903*c_1001_3^8 + 1703/20903*c_1001_3^7 - 1144/20903*c_1001_3^6 + 3200/20903*c_1001_3^5 - 7147/20903*c_1001_3^4 + 13757/20903*c_1001_3^3 - 25968/20903*c_1001_3^2 - 6382/20903*c_1001_3 - 32789/20903, c_1001_0 + 6269/20903*c_1001_3^9 + 1298/20903*c_1001_3^8 + 2759/20903*c_1001_3^7 - 14459/20903*c_1001_3^6 + 23927/20903*c_1001_3^5 - 10830/20903*c_1001_3^4 + 13941/20903*c_1001_3^3 + 15594/20903*c_1001_3^2 + 84479/20903*c_1001_3 + 53358/20903, c_1001_10 + 549/20903*c_1001_3^9 - 1000/20903*c_1001_3^8 + 2609/20903*c_1001_3^7 - 2710/20903*c_1001_3^6 + 3049/20903*c_1001_3^5 - 6150/20903*c_1001_3^4 + 14865/20903*c_1001_3^3 - 2899/20903*c_1001_3^2 + 16821/20903*c_1001_3 + 6560/20903, c_1001_2 + 157/20903*c_1001_3^9 + 2760/20903*c_1001_3^8 - 1348/20903*c_1001_3^7 + 3299/20903*c_1001_3^6 - 6743/20903*c_1001_3^5 + 16974/20903*c_1001_3^4 - 3402/20903*c_1001_3^3 + 6329/20903*c_1001_3^2 + 2069/20903*c_1001_3 + 27881/20903, c_1001_3^10 + c_1001_3^9 + c_1001_3^8 - 2*c_1001_3^7 + 3*c_1001_3^6 + c_1001_3^5 + 4*c_1001_3^4 + c_1001_3^3 + 19*c_1001_3^2 + 21*c_1001_3 + 17 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.270 Total time: 0.480 seconds, Total memory usage: 32.09MB