Magma V2.19-8 Wed Aug 21 2013 00:58:27 on localhost [Seed = 846473397] Type ? for help. Type -D to quit. Loading file "L13n554__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n554 geometric_solution 12.17755534 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 1302 0132 0132 1 1 1 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 1 0 -1 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 0.424462854443 0.753303156862 0 4 5 0 0132 0132 0132 2031 1 1 0 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 1 0 -1 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 0.640404589676 0.838206191895 4 4 6 0 0132 1230 0132 0132 1 1 0 1 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 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 0.424462854443 0.753303156862 7 4 0 8 0132 1302 0132 0132 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 0 0 0 0 0 0 1 -1 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 0.572018482317 0.649406187625 2 1 2 3 0132 0132 3012 2031 1 1 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 -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 0.432258766292 1.007582310576 7 9 6 1 3120 0132 2103 0132 1 1 1 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 1 0 0 -1 0 0 0 0 1 15 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.532947008313 0.328567954060 5 10 8 2 2103 0132 0132 0132 1 1 1 1 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 16 -1 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.049748914643 1.017025255916 3 11 11 5 0132 0132 0321 3120 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 0 0 0 0 0 1 0 -1 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 0.843873536460 0.819918541558 9 10 3 6 0321 0213 0132 0132 1 1 1 1 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 -1 1 0 0 0 0 0 0 -15 0 15 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.194814197386 1.505329648062 8 5 11 12 0321 0132 2103 0132 1 1 1 1 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 -1 0 1 0 0 -15 0 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.828995564591 0.649102825291 12 6 8 11 1230 0132 0213 0213 1 1 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 1 -1 -15 0 15 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 0.631642109238 0.443266963127 9 7 7 10 2103 0132 0321 0213 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 0 0 0 0 0 -1 0 1 -1 0 0 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 0.843873536460 0.819918541558 12 10 9 12 3012 3012 0132 1230 1 1 1 1 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 15 0 -15 15 0 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.617418970620 1.238008743126 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_5']), 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : negation(d['c_0011_10']), 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : d['c_1001_6'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_0011_11'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_1001_10'], 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : d['c_1001_10'], 'c_1010_12' : negation(d['c_0011_8']), 'c_1010_11' : d['c_1001_6'], 'c_1010_10' : d['c_1001_6'], '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' : d['c_0101_11'], 'c_0101_10' : d['c_0011_8'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(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_2']), 'c_1100_4' : negation(d['c_1001_10']), 'c_1100_7' : negation(d['c_0011_5']), 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_6'], 'c_1100_10' : d['c_1001_6'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_5']), 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : d['c_0011_11'], 'c_1010_4' : d['c_0011_11'], 'c_1010_3' : d['c_1001_10'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : d['c_1001_6'], 'c_1100_8' : d['c_1100_0'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(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_0011_12'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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_5']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : 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_0011_12'], 'c_0101_12' : negation(d['c_0011_8']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_11']), 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0011_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : negation(d['c_0101_11']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_8']), 'c_0110_8' : d['c_0011_5'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_12'], 'c_0110_3' : negation(d['c_0101_11']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_2']})} 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_5, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_1001_10, c_1001_6, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 28257/188272*c_1100_0^7 - 858673/753088*c_1100_0^6 - 18345/376544*c_1100_0^5 + 2083261/753088*c_1100_0^4 + 2648081/188272*c_1100_0^3 + 3254549/753088*c_1100_0^2 + 1198933/376544*c_1100_0 + 5030239/753088, c_0011_0 - 1, c_0011_10 - 1/32*c_1100_0^6 + 1/4*c_1100_0^5 - 3/32*c_1100_0^4 - 1/2*c_1100_0^3 - 87/32*c_1100_0^2 - 1/4*c_1100_0 - 53/32, c_0011_11 - c_1100_0, c_0011_12 - 3/128*c_1100_0^7 + 23/128*c_1100_0^6 - 3/128*c_1100_0^5 - 33/128*c_1100_0^4 - 305/128*c_1100_0^3 - 131/128*c_1100_0^2 - 265/128*c_1100_0 + 77/128, c_0011_5 + 1/32*c_1100_0^6 - 1/4*c_1100_0^5 + 3/32*c_1100_0^4 + 1/2*c_1100_0^3 + 87/32*c_1100_0^2 + 1/4*c_1100_0 + 53/32, c_0011_8 - 7/128*c_1100_0^7 + 55/128*c_1100_0^6 - 15/128*c_1100_0^5 - 97/128*c_1100_0^4 - 669/128*c_1100_0^3 - 83/128*c_1100_0^2 - 397/128*c_1100_0 + 61/128, c_0101_0 - 1, c_0101_1 - 1, c_0101_11 + 1/128*c_1100_0^7 - 7/128*c_1100_0^6 - 3/128*c_1100_0^5 + 5/128*c_1100_0^4 + 99/128*c_1100_0^3 + 107/128*c_1100_0^2 + 95/128*c_1100_0 + 87/128, c_0101_2 + c_1100_0 - 1, c_1001_10 + 1, c_1001_6 - 5/128*c_1100_0^7 + 39/128*c_1100_0^6 - 9/128*c_1100_0^5 - 69/128*c_1100_0^4 - 463/128*c_1100_0^3 - 91/128*c_1100_0^2 - 291/128*c_1100_0 - 7/128, c_1100_0^8 - 8*c_1100_0^7 + 4*c_1100_0^6 + 8*c_1100_0^5 + 94*c_1100_0^4 + 8*c_1100_0^3 + 116*c_1100_0^2 - 8*c_1100_0 + 41 ], 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_5, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_1001_10, c_1001_6, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 192364/195*c_1100_0^10 + 59299/30*c_1100_0^9 + 2154535/624*c_1100_0^8 + 45349/16*c_1100_0^7 + 29399399/12480*c_1100_0^6 + 3746753/6240*c_1100_0^5 + 791657/2496*c_1100_0^4 - 328517/1040*c_1100_0^3 + 6651/832*c_1100_0^2 - 11831/160*c_1100_0 + 724363/12480, c_0011_0 - 1, c_0011_10 + 24*c_1100_0^10 + 15*c_1100_0^9 + 363/8*c_1100_0^8 + 175/8*c_1100_0^7 + 1499/32*c_1100_0^6 + 25/2*c_1100_0^5 + 541/32*c_1100_0^4 - 41/8*c_1100_0^3 - 11/32*c_1100_0^2 - 11/4*c_1100_0 - 9/32, c_0011_11 - c_1100_0, c_0011_12 - 9*c_1100_0^10 - 97/8*c_1100_0^9 - 1717/64*c_1100_0^8 - 2011/128*c_1100_0^7 - 2739/128*c_1100_0^6 - 163/128*c_1100_0^5 - 807/128*c_1100_0^4 + 343/128*c_1100_0^3 - 369/128*c_1100_0^2 - 9/128*c_1100_0 - 139/128, c_0011_5 - 32*c_1100_0^10 - 64*c_1100_0^9 - 106*c_1100_0^8 - 1599/16*c_1100_0^7 - 2719/32*c_1100_0^6 - 671/16*c_1100_0^5 - 585/32*c_1100_0^4 + 19/16*c_1100_0^3 + 63/32*c_1100_0^2 + 35/16*c_1100_0 - 7/32, c_0011_8 - 13*c_1100_0^10 - 165/8*c_1100_0^9 - 3529/64*c_1100_0^8 - 5311/128*c_1100_0^7 - 7147/128*c_1100_0^6 - 2175/128*c_1100_0^5 - 2831/128*c_1100_0^4 + 363/128*c_1100_0^3 - 489/128*c_1100_0^2 + 355/128*c_1100_0 - 75/128, c_0101_0 + 1, c_0101_1 - 1, c_0101_11 + c_1100_0^10 + 9/8*c_1100_0^9 + 189/64*c_1100_0^8 + 143/128*c_1100_0^7 + 353/128*c_1100_0^6 - 109/128*c_1100_0^5 + 241/128*c_1100_0^4 - 243/128*c_1100_0^3 + 243/128*c_1100_0^2 - 127/128*c_1100_0 + 129/128, c_0101_2 - c_1100_0 - 1, c_1001_10 + 1, c_1001_6 - 3*c_1100_0^10 - 59/8*c_1100_0^9 + 425/64*c_1100_0^8 + 1451/128*c_1100_0^7 + 3945/128*c_1100_0^6 + 1943/128*c_1100_0^5 + 2025/128*c_1100_0^4 - 287/128*c_1100_0^3 + 91/128*c_1100_0^2 - 371/128*c_1100_0 + 1/128, c_1100_0^11 + 17/8*c_1100_0^10 + 261/64*c_1100_0^9 + 521/128*c_1100_0^8 + 31/8*c_1100_0^7 + 61/32*c_1100_0^6 + 33/32*c_1100_0^5 - 1/64*c_1100_0^4 - 3/32*c_1100_0^2 + 1/64*c_1100_0 + 1/128 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.120 Total time: 0.330 seconds, Total memory usage: 32.09MB