Magma V2.19-8 Wed Aug 21 2013 00:52:42 on localhost [Seed = 2345508409] Type ? for help. Type -D to quit. Loading file "L12n1042__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1042 geometric_solution 11.43595646 oriented_manifold CS_known -0.0000000000000001 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 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.582751746747 0.814358509925 0 5 7 6 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 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 0.418863453144 0.812101370785 8 0 5 7 0132 0132 0132 3012 1 1 1 0 0 0 -1 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 -1 5 -4 0 0 0 0 -5 0 0 5 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.472820322580 0.698282579699 9 6 8 0 0132 0321 1023 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 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 0.333514098061 0.387122077656 10 7 0 11 0132 0132 0132 0132 1 1 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 0 0 0 0 0 0 1 -1 -1 0 0 1 -4 4 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.701261705766 1.148886069350 8 1 12 2 1023 0132 0132 0132 1 1 0 1 0 0 -1 1 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 5 -5 0 0 0 0 0 0 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.211993851228 0.815284773211 9 10 1 3 2103 0213 0132 0321 1 1 1 1 0 0 0 0 0 0 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 4 -4 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.121903667875 0.651647210502 10 4 2 1 3120 0132 1230 0132 1 1 0 1 0 0 0 0 -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 5 0 -5 0 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.688658378248 0.912171256767 2 5 3 11 0132 1023 1023 1023 1 1 0 1 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 -1 0 0 1 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.565051100741 1.430860788781 3 9 6 9 0132 2310 2103 3201 1 1 1 1 0 0 1 -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 0 -4 4 0 0 0 0 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.277366085171 1.482685786577 4 12 6 7 0132 0132 0213 3120 1 1 0 1 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 1 0 4 -5 1 -1 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.348040686107 0.318199048207 12 12 4 8 0132 1230 0132 1023 1 1 0 1 0 0 0 0 0 0 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 -1 1 0 1 0 -1 0 3 -2 0 -1 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.062829918475 0.941722306491 11 10 11 5 0132 0132 3012 0132 1 1 1 0 0 0 -1 1 0 0 0 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 0 5 -5 -1 0 1 0 -5 0 0 5 -3 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.929467075080 1.057178337197 ==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_12' : negation(d['c_0011_10']), 'c_1001_5' : d['c_1001_10'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_1001_11'], 'c_1001_6' : d['c_1001_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_7']), 'c_1001_3' : d['c_0101_8'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : d['c_0011_6'], 'c_1010_12' : d['c_1001_10'], 'c_1010_11' : d['c_0101_12'], 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : negation(d['1']), 's_0_11' : 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_0011_6'], 'c_0101_10' : d['c_0011_6'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(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' : 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_0011_3'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_1001_11']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0101_8'], 'c_1100_6' : d['c_0101_8'], 'c_1100_1' : d['c_0101_8'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1001_11']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : negation(d['c_0101_7']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0101_7']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_11'], 'c_1010_3' : negation(d['c_0101_7']), 'c_1010_2' : negation(d['c_0101_7']), 'c_1010_1' : d['c_1001_10'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : negation(d['c_0011_6']), 'c_1010_8' : d['c_0101_12'], 'c_1100_8' : negation(d['c_1100_0']), 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(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' : negation(d['c_1001_11']), 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : negation(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' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_12'], 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0011_6'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : d['c_0101_12'], '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_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_6'], 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : d['c_0011_6'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_3'])})} 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_3, c_0011_6, c_0101_0, c_0101_1, c_0101_12, c_0101_7, c_0101_8, c_1001_1, c_1001_10, c_1001_11, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 832/5*c_1100_0^3 + 9376/15*c_1100_0^2 - 11104/15*c_1100_0 + 3632/15, c_0011_0 - 1, c_0011_10 + 2/3*c_1100_0^2 - 1/3*c_1100_0 - 2/3, c_0011_3 + c_1100_0^2 - 3/2*c_1100_0, c_0011_6 + 1/2, c_0101_0 - 1, c_0101_1 + 8/3*c_1100_0^3 - 14/3*c_1100_0^2 + c_1100_0 - 2/3, c_0101_12 - 4/3*c_1100_0^3 + 4/3*c_1100_0^2 + c_1100_0 + 1/3, c_0101_7 - 2*c_1100_0^3 + 5*c_1100_0^2 - 3*c_1100_0, c_0101_8 - 2*c_1100_0^3 + 4*c_1100_0^2 - 3/2*c_1100_0, c_1001_1 - 4/3*c_1100_0^3 + 2*c_1100_0^2 + 2/3*c_1100_0 - 1/3, c_1001_10 - c_1100_0 + 3/2, c_1001_11 + c_1100_0^2 - 3/2*c_1100_0, c_1100_0^4 - 3*c_1100_0^3 + 9/4*c_1100_0^2 + 1/4 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_12, c_0101_7, c_0101_8, c_1001_1, c_1001_10, c_1001_11, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 336275199714993/19439564362*c_1100_0^8 + 1273406823754789/38879128724*c_1100_0^7 - 2765280062348479/311033029792*c_1100_0^6 + 847039505866535/38879128724*c_1100_0^5 - 4643775385811941/622066059584*c_1100_0^4 + 5025631130256099/622066059584*c_1100_0^3 + 500580622636059/311033029792*c_1100_0^2 + 64995111787809/77758257448*c_1100_0 - 4193937551401/622066059584, c_0011_0 - 1, c_0011_10 - 1701057183232/9719782181*c_1100_0^8 - 3117973248672/9719782181*c_1100_0^7 + 1376173977424/9719782181*c_1100_0^6 - 1371275905178/9719782181*c_1100_0^5 + 1287481230708/9719782181*c_1100_0^4 - 330270581293/9719782181*c_1100_0^3 - 32394807033/9719782181*c_1100_0^2 - 38632801657/9719782181*c_1100_0 + 7157580950/9719782181, c_0011_3 - 4449515044128/9719782181*c_1100_0^8 - 9818640700304/9719782181*c_1100_0^7 + 161001667470/9719782181*c_1100_0^6 - 3076325996796/9719782181*c_1100_0^5 + 2059583589435/9719782181*c_1100_0^4 + 4389378991/9719782181*c_1100_0^3 - 254064421069/9719782181*c_1100_0^2 - 162686201619/9719782181*c_1100_0 - 19517323096/9719782181, c_0011_6 + 1296083918624/9719782181*c_1100_0^8 + 3043929480240/9719782181*c_1100_0^7 + 301434377346/9719782181*c_1100_0^6 + 760140008934/9719782181*c_1100_0^5 - 473746065213/9719782181*c_1100_0^4 - 123160145270/9719782181*c_1100_0^3 + 93118647101/9719782181*c_1100_0^2 + 57359507719/9719782181*c_1100_0 + 5248639630/9719782181, c_0101_0 - 1, c_0101_1 + 1, c_0101_12 - 1701057183232/9719782181*c_1100_0^8 - 3117973248672/9719782181*c_1100_0^7 + 1376173977424/9719782181*c_1100_0^6 - 1371275905178/9719782181*c_1100_0^5 + 1287481230708/9719782181*c_1100_0^4 - 330270581293/9719782181*c_1100_0^3 - 32394807033/9719782181*c_1100_0^2 - 38632801657/9719782181*c_1100_0 + 7157580950/9719782181, c_0101_7 - 1297012018016/9719782181*c_1100_0^8 - 2653167032880/9719782181*c_1100_0^7 + 519565717962/9719782181*c_1100_0^6 - 881622470684/9719782181*c_1100_0^5 + 724743011587/9719782181*c_1100_0^4 - 111196887297/9719782181*c_1100_0^3 - 67708395602/9719782181*c_1100_0^2 - 41551956026/9719782181*c_1100_0 + 6241535880/9719782181, c_0101_8 + 1297012018016/9719782181*c_1100_0^8 + 2653167032880/9719782181*c_1100_0^7 - 519565717962/9719782181*c_1100_0^6 + 881622470684/9719782181*c_1100_0^5 - 724743011587/9719782181*c_1100_0^4 + 111196887297/9719782181*c_1100_0^3 + 67708395602/9719782181*c_1100_0^2 + 41551956026/9719782181*c_1100_0 - 6241535880/9719782181, c_1001_1 + 1297012018016/9719782181*c_1100_0^8 + 2653167032880/9719782181*c_1100_0^7 - 519565717962/9719782181*c_1100_0^6 + 881622470684/9719782181*c_1100_0^5 - 724743011587/9719782181*c_1100_0^4 + 111196887297/9719782181*c_1100_0^3 + 67708395602/9719782181*c_1100_0^2 + 51271738207/9719782181*c_1100_0 - 6241535880/9719782181, c_1001_10 + c_1100_0, c_1001_11 + 1296083918624/9719782181*c_1100_0^8 + 3043929480240/9719782181*c_1100_0^7 + 301434377346/9719782181*c_1100_0^6 + 760140008934/9719782181*c_1100_0^5 - 473746065213/9719782181*c_1100_0^4 - 123160145270/9719782181*c_1100_0^3 + 93118647101/9719782181*c_1100_0^2 + 67079289900/9719782181*c_1100_0 + 5248639630/9719782181, c_1100_0^9 + 53/22*c_1100_0^8 + 83/176*c_1100_0^7 + 13/16*c_1100_0^6 - 119/352*c_1100_0^5 - 9/176*c_1100_0^4 + 7/352*c_1100_0^3 + 9/176*c_1100_0^2 + 5/352*c_1100_0 + 1/352 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.270 Total time: 0.480 seconds, Total memory usage: 32.09MB