Magma V2.19-8 Wed Aug 21 2013 01:08:18 on localhost [Seed = 3734554522] Type ? for help. Type -D to quit. Loading file "L14n39420__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n39420 geometric_solution 11.59110315 oriented_manifold CS_known 0.0000000000000006 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 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 1 -1 0 0 0 0 0 -5 0 5 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.329438922477 0.586179767926 0 5 7 6 0132 0132 0132 0132 0 0 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 0 0 0 0 0 0 0 0 0 0 1 -6 5 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 0.282325045482 1.306064885741 5 0 8 6 0132 0132 0132 1230 0 0 1 1 0 0 0 0 0 0 0 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 0 0 0 0 -6 0 0 6 1 5 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.221667442033 1.059456901962 9 10 7 0 0132 0132 1302 0132 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 1 0 -1 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 -0.158119856083 0.731478822277 10 5 0 7 3012 0213 0132 1302 0 0 0 1 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 -6 0 0 6 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.561540347657 1.474131190530 2 1 4 11 0132 0132 0213 0132 0 0 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 -1 1 0 0 0 0 0 -1 0 0 1 6 -1 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.497814774788 0.899704609457 2 12 1 11 3012 0132 0132 1023 0 0 0 1 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 -5 5 0 0 0 0 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.185370932460 0.623229690343 3 12 4 1 2031 0213 2031 0132 0 0 1 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 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.719660203740 0.742652368253 9 12 11 2 1023 0321 0213 0132 0 0 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 -6 0 6 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.195933008241 0.500421484606 3 8 10 11 0132 1023 1023 1230 0 0 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 0 0 0 0 0 0 0 0 0 0 -1 6 -5 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 0.423727375090 1.041289506739 12 3 9 4 0321 0132 1023 1230 0 0 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 -1 1 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.728626773745 1.296465730059 9 8 5 6 3012 0213 0132 1023 0 0 0 1 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 5 0 0 -5 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.464586234635 0.791295995132 10 6 7 8 0321 0132 0213 0321 0 1 1 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 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.154675610621 0.738951410987 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : d['c_0101_0'], 'c_1001_12' : d['c_0110_11'], 'c_1001_5' : d['c_1001_2'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0110_11'], 'c_1001_6' : d['c_1001_2'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : d['c_1001_1'], 'c_1010_12' : d['c_1001_2'], 'c_1010_11' : d['c_0110_6'], 'c_1010_10' : d['c_0101_1'], 's_0_10' : d['1'], 's_3_10' : negation(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_11'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(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' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0110_11'], 'c_1100_8' : d['c_0110_6'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1010_4'], 'c_1100_4' : d['c_0101_7'], 'c_1100_7' : negation(d['c_1010_4']), 'c_1100_6' : negation(d['c_1010_4']), 'c_1100_1' : negation(d['c_1010_4']), 'c_1100_0' : d['c_0101_7'], 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : d['c_0110_6'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1010_4'], 'c_1100_10' : negation(d['c_0110_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0110_11'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1010_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_1001_2'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : d['c_1001_2'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(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_1'], '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' : d['c_0011_10'], 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_12']), 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_12']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : negation(d['c_0011_12']), 'c_0110_12' : negation(d['c_0011_10']), 'c_0101_12' : 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_0'], 'c_0101_5' : negation(d['c_0011_12']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_11'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : d['c_0101_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' : negation(d['c_0011_12']), 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : negation(d['c_0110_11']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6']})} 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_0101_0, c_0101_1, c_0101_11, c_0101_7, c_0110_11, c_0110_6, c_1001_1, c_1001_2, c_1010_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 617757929/1507360000*c_1010_4^7 - 52725579/30147200*c_1010_4^6 + 10313518151/1507360000*c_1010_4^5 + 32360597673/753680000*c_1010_4^4 + 20050111061/753680000*c_1010_4^3 - 296394073339/1507360000*c_1010_4^2 - 166023769441/376840000*c_1010_4 - 439304563821/1507360000, c_0011_0 - 1, c_0011_10 + 12461/753680*c_1010_4^7 - 6525/150736*c_1010_4^6 - 75217/376840*c_1010_4^5 + 59193/376840*c_1010_4^4 + 38892/47105*c_1010_4^3 + 457011/753680*c_1010_4^2 + 306571/753680*c_1010_4 + 370097/376840, c_0011_11 + 7927/37684*c_1010_4^7 - 17033/37684*c_1010_4^6 - 55999/18842*c_1010_4^5 + 24157/18842*c_1010_4^4 + 129916/9421*c_1010_4^3 + 389485/37684*c_1010_4^2 - 229521/37684*c_1010_4 + 80659/18842, c_0011_12 + 35521/150736*c_1010_4^7 - 78481/150736*c_1010_4^6 - 251769/75368*c_1010_4^5 + 131549/75368*c_1010_4^4 + 295935/18842*c_1010_4^3 + 1533783/150736*c_1010_4^2 - 1298405/150736*c_1010_4 + 409377/75368, c_0101_0 - 1, c_0101_1 - 10305/150736*c_1010_4^7 + 22069/150736*c_1010_4^6 + 73725/75368*c_1010_4^5 - 37629/75368*c_1010_4^4 - 41407/9421*c_1010_4^3 - 455055/150736*c_1010_4^2 + 274441/150736*c_1010_4 - 121789/75368, c_0101_11 + 5773/18842*c_1010_4^7 - 25331/37684*c_1010_4^6 - 81383/18842*c_1010_4^5 + 19410/9421*c_1010_4^4 + 378141/18842*c_1010_4^3 + 136549/9421*c_1010_4^2 - 326899/37684*c_1010_4 + 127351/18842, c_0101_7 + 1273/18842*c_1010_4^7 - 6715/37684*c_1010_4^6 - 16007/18842*c_1010_4^5 + 6475/9421*c_1010_4^4 + 77809/18842*c_1010_4^3 + 20407/9421*c_1010_4^2 - 115023/37684*c_1010_4 + 36865/18842, c_0110_11 + 6525/150736*c_1010_4^7 - 17265/150736*c_1010_4^6 - 41745/75368*c_1010_4^5 + 39953/75368*c_1010_4^4 + 24038/9421*c_1010_4^3 + 103171/150736*c_1010_4^2 - 275141/150736*c_1010_4 + 62305/75368, c_0110_6 - 35879/150736*c_1010_4^7 + 79255/150736*c_1010_4^6 + 251807/75368*c_1010_4^5 - 117651/75368*c_1010_4^4 - 295327/18842*c_1010_4^3 - 1729729/150736*c_1010_4^2 + 1033155/150736*c_1010_4 - 387615/75368, c_1001_1 - 35521/150736*c_1010_4^7 + 78481/150736*c_1010_4^6 + 251769/75368*c_1010_4^5 - 131549/75368*c_1010_4^4 - 295935/18842*c_1010_4^3 - 1533783/150736*c_1010_4^2 + 1298405/150736*c_1010_4 - 409377/75368, c_1001_2 - 20489/150736*c_1010_4^7 + 48929/150736*c_1010_4^6 + 137753/75368*c_1010_4^5 - 89429/75368*c_1010_4^4 - 160623/18842*c_1010_4^3 - 781567/150736*c_1010_4^2 + 734533/150736*c_1010_4 - 269249/75368, c_1010_4^8 - 19*c_1010_4^6 - 24*c_1010_4^5 + 82*c_1010_4^4 + 191*c_1010_4^3 + 66*c_1010_4^2 - 51*c_1010_4 + 50 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.190 Total time: 0.390 seconds, Total memory usage: 32.09MB