Magma V2.19-8 Wed Aug 21 2013 00:59:06 on localhost [Seed = 1882614545] Type ? for help. Type -D to quit. Loading file "L13n6564__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n6564 geometric_solution 11.66270750 oriented_manifold CS_known 0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 3012 1 1 1 0 0 0 0 0 1 0 -1 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 1 0 -1 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 0.442409034692 0.518953195597 0 4 0 5 0132 0132 1230 0132 1 1 0 1 0 0 0 0 -1 0 1 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 -1 3 0 -2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.960999044403 0.894407470866 3 0 5 6 0321 0132 1230 0132 1 0 0 1 0 0 0 0 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 0 0 0 -3 0 1 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 0.960999044403 0.894407470866 2 7 8 0 0321 0132 0132 0132 1 1 0 0 0 0 0 0 -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 0 1 -1 0 0 -1 1 0 -1 0 1 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.769901047853 1.167289804239 5 1 7 9 0213 0132 1302 0132 1 0 1 0 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 1 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 0.606251784590 0.596983571548 4 10 1 2 0213 0132 0132 3012 1 1 0 0 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 1 0 0 -1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.442409034692 0.518953195597 10 11 2 9 0213 0132 0132 3120 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 0 0 0 0 0 0 0 0 2 0 -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 0 -0.113348100684 0.681549590804 4 3 11 10 2031 0132 0132 1023 1 1 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 0 -3 3 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.696535797178 1.233653733094 12 9 9 3 0132 2310 3012 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 -1 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 0.291607812214 1.007331972432 6 8 4 8 3120 1230 0132 3201 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 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 0.467111647774 0.664231629894 6 5 12 7 0213 0132 1023 1023 1 1 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 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 0.571244943676 0.836983756362 12 6 12 7 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.725569981692 0.423567694791 8 11 10 11 0132 3012 1023 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 -0.058390385831 0.827034890182 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_9']), 'c_1001_10' : d['c_0101_12'], 'c_1001_12' : negation(d['c_0011_11']), 'c_1001_5' : d['c_0110_7'], 'c_1001_4' : d['c_0110_7'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0110_10'], 'c_1001_2' : negation(d['c_0101_1']), 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : negation(d['c_0011_9']), 'c_1010_12' : negation(d['c_0011_9']), 'c_1010_11' : d['c_1001_0'], 'c_1010_10' : d['c_0110_7'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0011_9'], 'c_0101_10' : negation(d['c_0011_11']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_1001_1']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_1'], 'c_1100_4' : d['c_0011_12'], 'c_1100_7' : negation(d['c_1100_10']), 'c_1100_6' : negation(d['c_0101_9']), 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : negation(d['c_0101_9']), 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_12'], 'c_1100_11' : negation(d['c_1100_10']), 'c_1100_10' : d['c_1100_10'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0110_10'], 'c_1010_6' : negation(d['c_0011_9']), 'c_1010_5' : d['c_0101_12'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0110_7'], 'c_1010_0' : negation(d['c_0101_1']), 'c_1010_9' : d['c_0011_9'], 'c_1010_8' : d['c_0110_10'], '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' : 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_1100_10']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : negation(d['c_0011_11']), '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_0011_12'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0011_9'], 'c_0101_7' : d['c_0011_12'], 'c_0101_6' : d['c_0011_10'], 'c_0101_5' : d['c_0011_0'], 'c_0101_4' : negation(d['c_0011_10']), 'c_0101_3' : d['c_0101_12'], 'c_0101_2' : negation(d['c_0101_12']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_9'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0110_10']), 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : d['c_0011_10'], 'c_0110_5' : negation(d['c_0101_9']), 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : negation(d['c_0110_10']), 's_2_9' : d['1']})} 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_9, c_0101_1, c_0101_12, c_0101_9, c_0110_10, c_0110_7, c_1001_0, c_1001_1, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 37804575881938903/2386738130953383*c_1100_10^8 - 41886997762511321/88397708553829*c_1100_10^7 - 2439071776719540236/2386738130953383*c_1100_10^6 + 3493321883028113135/2386738130953383*c_1100_10^5 + 23382056561601795902/2386738130953383*c_1100_10^4 - 923421717255651298/795579376984461*c_1100_10^3 - 37852509035432400491/2386738130953383*c_1100_10^2 - 24964932840540757568/2386738130953383*c_1100_10 - 948727715477492977/795579376984461, c_0011_0 - 1, c_0011_10 + 7393949767132/795579376984461*c_1100_10^8 - 25254634622557/88397708553829*c_1100_10^7 - 292212520513814/795579376984461*c_1100_10^6 + 1004727817815674/795579376984461*c_1100_10^5 + 3818806713656666/795579376984461*c_1100_10^4 - 1385550087208456/265193125661487*c_1100_10^3 - 5433952743737372/795579376984461*c_1100_10^2 + 1533163780444465/795579376984461*c_1100_10 + 522303764002406/265193125661487, c_0011_11 + 11863469774303/795579376984461*c_1100_10^8 - 39583163128557/88397708553829*c_1100_10^7 - 727121596223179/795579376984461*c_1100_10^6 + 1240798880497525/795579376984461*c_1100_10^5 + 7349963519739163/795579376984461*c_1100_10^4 - 568691402611817/265193125661487*c_1100_10^3 - 12661600102875451/795579376984461*c_1100_10^2 - 6407018629339270/795579376984461*c_1100_10 + 85152110409997/265193125661487, c_0011_12 + 10583910447794/795579376984461*c_1100_10^8 - 35682943342325/88397708553829*c_1100_10^7 - 544815057849787/795579376984461*c_1100_10^6 + 1183126025266396/795579376984461*c_1100_10^5 + 6067212892821832/795579376984461*c_1100_10^4 - 1022442234702479/265193125661487*c_1100_10^3 - 8668813943999764/795579376984461*c_1100_10^2 - 4457393211550756/795579376984461*c_1100_10 - 13554312503810/265193125661487, c_0011_9 - 10392417783251/795579376984461*c_1100_10^8 + 34987493618009/88397708553829*c_1100_10^7 + 548729261461972/795579376984461*c_1100_10^6 - 1147443560364364/795579376984461*c_1100_10^5 - 5900250644310091/795579376984461*c_1100_10^4 + 1039367977194788/265193125661487*c_1100_10^3 + 9005349874844593/795579376984461*c_1100_10^2 + 2911462805808823/795579376984461*c_1100_10 - 123525007183249/265193125661487, c_0101_1 - 1, c_0101_12 + 6533787550826/795579376984461*c_1100_10^8 - 22357762491624/88397708553829*c_1100_10^7 - 248889673762261/795579376984461*c_1100_10^6 + 959488082437288/795579376984461*c_1100_10^5 + 3568684345523911/795579376984461*c_1100_10^4 - 1231200553926116/265193125661487*c_1100_10^3 - 5727373037150929/795579376984461*c_1100_10^2 - 280111733505163/795579376984461*c_1100_10 + 325000899017437/265193125661487, c_0101_9 + 6533787550826/795579376984461*c_1100_10^8 - 22357762491624/88397708553829*c_1100_10^7 - 248889673762261/795579376984461*c_1100_10^6 + 959488082437288/795579376984461*c_1100_10^5 + 3568684345523911/795579376984461*c_1100_10^4 - 1231200553926116/265193125661487*c_1100_10^3 - 5727373037150929/795579376984461*c_1100_10^2 - 280111733505163/795579376984461*c_1100_10 + 325000899017437/265193125661487, c_0110_10 - 10583910447794/795579376984461*c_1100_10^8 + 35682943342325/88397708553829*c_1100_10^7 + 544815057849787/795579376984461*c_1100_10^6 - 1183126025266396/795579376984461*c_1100_10^5 - 6067212892821832/795579376984461*c_1100_10^4 + 1022442234702479/265193125661487*c_1100_10^3 + 8668813943999764/795579376984461*c_1100_10^2 + 4457393211550756/795579376984461*c_1100_10 + 13554312503810/265193125661487, c_0110_7 - 1499395828330/795579376984461*c_1100_10^8 + 4728179990737/88397708553829*c_1100_10^7 + 167521870891853/795579376984461*c_1100_10^6 - 49713908426264/795579376984461*c_1100_10^5 - 1199902463833217/795579376984461*c_1100_10^4 - 344306641567073/265193125661487*c_1100_10^3 + 2456093879792666/795579376984461*c_1100_10^2 + 1789517356760075/795579376984461*c_1100_10 + 165627956274376/265193125661487, c_1001_0 + 1499395828330/795579376984461*c_1100_10^8 - 4728179990737/88397708553829*c_1100_10^7 - 167521870891853/795579376984461*c_1100_10^6 + 49713908426264/795579376984461*c_1100_10^5 + 1199902463833217/795579376984461*c_1100_10^4 + 344306641567073/265193125661487*c_1100_10^3 - 2456093879792666/795579376984461*c_1100_10^2 - 1789517356760075/795579376984461*c_1100_10 - 165627956274376/265193125661487, c_1001_1 - 1499395828330/795579376984461*c_1100_10^8 + 4728179990737/88397708553829*c_1100_10^7 + 167521870891853/795579376984461*c_1100_10^6 - 49713908426264/795579376984461*c_1100_10^5 - 1199902463833217/795579376984461*c_1100_10^4 - 344306641567073/265193125661487*c_1100_10^3 + 2456093879792666/795579376984461*c_1100_10^2 + 1789517356760075/795579376984461*c_1100_10 - 99565169387111/265193125661487, c_1100_10^9 - 30*c_1100_10^8 - 62*c_1100_10^7 + 98*c_1100_10^6 + 611*c_1100_10^5 - 126*c_1100_10^4 - 998*c_1100_10^3 - 575*c_1100_10^2 - 15*c_1100_10 + 9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.150 Total time: 0.360 seconds, Total memory usage: 32.09MB