Magma V2.19-8 Wed Aug 21 2013 01:08:18 on localhost [Seed = 3583233169] Type ? for help. Type -D to quit. Loading file "L14n39420__sl2_c1.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' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_11'], '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' : negation(d['1']), 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(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' : negation(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' : 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_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: 10 Groebner basis: [ t - 75695937071/36834880000*c_1010_4^9 - 64798545719/7366976000*c_1010_4^8 + 785462479/9208720000*c_1010_4^7 + 2563210650099/36834880000*c_1010_4^6 + 6855847246441/36834880000*c_1010_4^5 + 9723645732873/36834880000*c_1010_4^4 + 8594658071627/36834880000*c_1010_4^3 + 79198640377/2302180000*c_1010_4^2 - 7643364147217/36834880000*c_1010_4 - 6226968860161/36834880000, c_0011_0 - 1, c_0011_10 - 295187/2302180*c_1010_4^9 - 47622/115109*c_1010_4^8 + 127848/575545*c_1010_4^7 + 7579583/2302180*c_1010_4^6 + 9561641/1151090*c_1010_4^5 + 32079911/2302180*c_1010_4^4 + 9532596/575545*c_1010_4^3 + 7049481/575545*c_1010_4^2 + 15119671/2302180*c_1010_4 + 2268447/575545, c_0011_11 + 17259/115109*c_1010_4^9 + 56785/115109*c_1010_4^8 - 22948/115109*c_1010_4^7 - 441472/115109*c_1010_4^6 - 1157451/115109*c_1010_4^5 - 2011590/115109*c_1010_4^4 - 2485154/115109*c_1010_4^3 - 1905832/115109*c_1010_4^2 - 896711/115109*c_1010_4 - 548591/115109, c_0011_12 - 24193/230218*c_1010_4^9 - 101475/230218*c_1010_4^8 - 8443/230218*c_1010_4^7 + 364536/115109*c_1010_4^6 + 1031899/115109*c_1010_4^5 + 3556903/230218*c_1010_4^4 + 4495417/230218*c_1010_4^3 + 3523331/230218*c_1010_4^2 + 677585/115109*c_1010_4 + 439677/115109, c_0101_0 - 1, c_0101_1 - 18337/460436*c_1010_4^9 - 13634/115109*c_1010_4^8 + 8443/115109*c_1010_4^7 + 421873/460436*c_1010_4^6 + 591873/230218*c_1010_4^5 + 2002757/460436*c_1010_4^4 + 569379/115109*c_1010_4^3 + 390375/115109*c_1010_4^2 + 680097/460436*c_1010_4 + 41518/115109, c_0101_11 - 171897/460436*c_1010_4^9 - 296981/230218*c_1010_4^8 + 127705/230218*c_1010_4^7 + 4616427/460436*c_1010_4^6 + 5889801/230218*c_1010_4^5 + 19735141/460436*c_1010_4^4 + 11826523/230218*c_1010_4^3 + 8357195/230218*c_1010_4^2 + 6935735/460436*c_1010_4 + 1056794/115109, c_0101_7 - 39455/460436*c_1010_4^9 - 87353/230218*c_1010_4^8 - 6297/230218*c_1010_4^7 + 1251165/460436*c_1010_4^6 + 1697587/230218*c_1010_4^5 + 5877327/460436*c_1010_4^4 + 3827191/230218*c_1010_4^3 + 2951833/230218*c_1010_4^2 + 2653373/460436*c_1010_4 + 469085/115109, c_0110_11 + 139915/460436*c_1010_4^9 + 130094/115109*c_1010_4^8 - 31729/115109*c_1010_4^7 - 3930835/460436*c_1010_4^6 - 5198729/230218*c_1010_4^5 - 17528227/460436*c_1010_4^4 - 5282040/115109*c_1010_4^3 - 3841000/115109*c_1010_4^2 - 6589367/460436*c_1010_4 - 1039855/115109, c_0110_6 + 175/3902*c_1010_4^9 + 205/3902*c_1010_4^8 - 921/3902*c_1010_4^7 - 1304/1951*c_1010_4^6 - 2128/1951*c_1010_4^5 - 7903/3902*c_1010_4^4 - 8049/3902*c_1010_4^3 - 4887/3902*c_1010_4^2 - 1763/1951*c_1010_4 + 105/1951, c_1001_1 + 6585/230218*c_1010_4^9 + 10501/230218*c_1010_4^8 - 26183/230218*c_1010_4^7 - 63951/115109*c_1010_4^6 - 119874/115109*c_1010_4^5 - 337179/230218*c_1010_4^4 - 321379/230218*c_1010_4^3 - 26473/230218*c_1010_4^2 + 109864/115109*c_1010_4 + 9804/115109, c_1001_2 - 14448/115109*c_1010_4^9 - 114621/230218*c_1010_4^8 + 10589/230218*c_1010_4^7 + 836519/230218*c_1010_4^6 + 1144730/115109*c_1010_4^5 + 1970021/115109*c_1010_4^4 + 4965949/230218*c_1010_4^3 + 3732583/230218*c_1010_4^2 + 1666735/230218*c_1010_4 + 510603/115109, c_1010_4^10 + 5*c_1010_4^9 + 4*c_1010_4^8 - 29*c_1010_4^7 - 111*c_1010_4^6 - 223*c_1010_4^5 - 317*c_1010_4^4 - 312*c_1010_4^3 - 193*c_1010_4^2 - 89*c_1010_4 - 40 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.200 Total time: 0.410 seconds, Total memory usage: 32.09MB