Magma V2.19-8 Wed Aug 21 2013 01:03:13 on localhost [Seed = 442237469] Type ? for help. Type -D to quit. Loading file "L14n1836__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n1836 geometric_solution 12.38798144 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 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 -1 1 1 0 -1 0 1 0 0 -1 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.329517094744 0.867897798069 0 5 7 6 0132 0132 0132 0132 1 1 1 1 0 0 0 0 0 0 0 0 0 1 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 -1 0 1 0 0 -8 0 8 -1 -8 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.460596420422 0.558779439129 8 0 9 5 0132 0132 0132 0132 1 0 1 1 0 0 0 0 -1 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 0 -1 0 0 1 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.555936407717 1.001254195510 9 6 10 0 2031 0132 0132 0132 1 1 1 0 0 1 -1 0 0 0 0 0 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -9 8 1 0 0 -1 1 -9 0 0 9 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.225891640016 1.078649895890 8 10 0 11 3012 1023 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 -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 0.407956313247 0.646575196214 12 1 2 11 0132 0132 0132 0321 1 0 1 1 0 0 0 0 0 0 0 0 0 -1 0 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 1 0 -1 0 0 8 0 -8 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.842232452809 0.886394868192 11 3 1 8 0132 0132 0132 3012 1 1 0 1 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 9 0 -9 0 0 0 0 0 -1 0 1 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.350945554020 0.558157592789 9 11 10 1 1230 0321 0321 0132 1 1 1 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 1 -1 9 0 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.720040328857 0.924391503734 2 12 6 4 0132 0132 1230 1230 1 0 1 1 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 1 0 -1 0 0 0 0 0 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.138846284778 0.816672301948 12 7 3 2 2103 3012 1302 0132 1 0 1 1 0 0 0 0 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 0 0 0 -1 0 1 0 0 0 0 0 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.509890147769 0.885973084692 4 12 7 3 1023 2310 0321 0132 1 1 0 1 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 8 0 -8 -1 0 0 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 0.287103132544 0.733093687471 6 5 4 7 0132 0321 0132 0321 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 0 0 0 0 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.679912943390 1.029029955740 5 8 9 10 0132 0132 2103 3201 1 0 1 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 -1 0 1 0 8 0 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.780375677375 1.017557661071 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_3'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0011_9'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_0101_10'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : d['c_0101_10'], 'c_1001_9' : negation(d['c_0011_7']), 'c_1001_8' : negation(d['c_1001_10']), 'c_1010_12' : negation(d['c_1001_10']), 'c_1010_11' : d['c_1001_1'], 'c_1010_10' : negation(d['c_0101_5']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : negation(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_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(d['1']), 's_2_10' : 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' : 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_1100_9' : d['c_0101_3'], 'c_1100_8' : d['c_0101_11'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : d['c_1001_7'], 'c_1100_7' : d['c_1001_10'], 'c_1100_6' : d['c_1001_10'], 'c_1100_1' : d['c_1001_10'], 'c_1100_0' : d['c_1001_7'], 'c_1100_3' : d['c_1001_7'], 'c_1100_2' : d['c_0101_3'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_7'], 'c_1100_10' : d['c_1001_7'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_0101_10'], 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : d['c_0011_9'], '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' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_10']), 's_1_7' : d['1'], 's_1_6' : 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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : d['c_0011_7'], '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' : d['c_0011_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_7']), 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : negation(d['c_0011_11']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : negation(d['c_0011_7']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_9'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : d['c_0011_9'], 'c_0101_0' : negation(d['c_0011_7']), 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : d['c_0101_5'], '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' : d['c_0011_10'], 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : negation(d['c_0011_7']), 'c_0110_0' : d['c_0011_9'], 'c_0110_3' : negation(d['c_0011_7']), 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : negation(d['c_0011_11']), 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0011_9'], 'c_0110_6' : d['c_0101_11']})} 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_7, c_0011_9, c_0101_10, c_0101_11, c_0101_3, c_0101_5, c_1001_0, c_1001_1, c_1001_10, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 1677863078279882225/412037496265883904*c_1001_7^11 + 19124305852812475/8584114505539248*c_1001_7^10 + 6779656440050212903/412037496265883904*c_1001_7^9 + 3296092877602321039/412037496265883904*c_1001_7^8 - 9660325522038770663/274691664177255936*c_1001_7^7 - 347503707749731945/8584114505539248*c_1001_7^6 + 1522547965408110707/63390384040905216*c_1001_7^5 + 774871555852215049/10565064006817536*c_1001_7^4 + 4006446889344048883/137345832088627968*c_1001_7^3 - 1656645818690794123/34336458022156992*c_1001_7^2 - 16084233906868192631/274691664177255936*c_1001_7 - 983458032274690493/51504687033235488, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 + 499057986025/168362187768*c_1001_7^11 - 61360107125/21045273471*c_1001_7^10 - 2110149442807/168362187768*c_1001_7^9 + 421888054793/168362187768*c_1001_7^8 + 10434122452109/336724375536*c_1001_7^7 + 391961010695/42090546942*c_1001_7^6 - 12915911215799/336724375536*c_1001_7^5 - 4785471335207/168362187768*c_1001_7^4 + 2700978735251/168362187768*c_1001_7^3 + 1112656994365/42090546942*c_1001_7^2 + 3797615931229/336724375536*c_1001_7 + 45358861441/14030182314, c_0011_7 - 721882532675/252543281652*c_1001_7^11 + 197017571350/63135820413*c_1001_7^10 + 324434170421/28060364628*c_1001_7^9 - 307862764841/84181093884*c_1001_7^8 - 14466308351519/505086563304*c_1001_7^7 - 335462918813/63135820413*c_1001_7^6 + 5956903271119/168362187768*c_1001_7^5 + 5628775470665/252543281652*c_1001_7^4 - 3903616271405/252543281652*c_1001_7^3 - 1356767422465/63135820413*c_1001_7^2 - 4773898977271/505086563304*c_1001_7 - 202793476127/63135820413, c_0011_9 - 110228489075/126271640826*c_1001_7^11 + 75513803900/63135820413*c_1001_7^10 + 174031602667/42090546942*c_1001_7^9 - 92024131681/42090546942*c_1001_7^8 - 2842140685631/252543281652*c_1001_7^7 - 62518548352/63135820413*c_1001_7^6 + 438994905505/28060364628*c_1001_7^5 + 1094452689689/126271640826*c_1001_7^4 - 1154352981785/126271640826*c_1001_7^3 - 713679151052/63135820413*c_1001_7^2 - 951596629087/252543281652*c_1001_7 - 12675291466/63135820413, c_0101_10 - 673795363625/126271640826*c_1001_7^11 + 267835489400/63135820413*c_1001_7^10 + 999019549405/42090546942*c_1001_7^9 + 20810263037/42090546942*c_1001_7^8 - 14704860649853/252543281652*c_1001_7^7 - 1835493871012/63135820413*c_1001_7^6 + 1900172829007/28060364628*c_1001_7^5 + 8586204318815/126271640826*c_1001_7^4 - 2514348688043/126271640826*c_1001_7^3 - 3644784650204/63135820413*c_1001_7^2 - 7777062119005/252543281652*c_1001_7 - 554422988968/63135820413, c_0101_11 + 491451069125/252543281652*c_1001_7^11 - 82488193600/63135820413*c_1001_7^10 - 791945424185/84181093884*c_1001_7^9 - 902162063/3117818292*c_1001_7^8 + 11767070416913/505086563304*c_100\ 1_7^7 + 688887710141/63135820413*c_1001_7^6 - 4732068653009/168362187768*c_1001_7^5 - 6547859894729/252543281652*c_1001_7^4 + 2675283352721/252543281652*c_1001_7^3 + 2778475626095/126271640826*c_1001_7^2 + 5313042547201/505086563304*c_1001_7 + 157087806947/63135820413, c_0101_3 + 30000425/10543284*c_1001_7^11 - 8017750/2635821*c_1001_7^10 - 38520653/3514428*c_1001_7^9 + 1509089/1171476*c_1001_7^8 + 583413725/21086568*c_1001_7^7 + 30249431/2635821*c_1001_7^6 - 221892653/7028856*c_1001_7^5 - 328076591/10543284*c_1001_7^4 + 83899415/10543284*c_1001_7^3 + 72605866/2635821*c_1001_7^2 + 338193133/21086568*c_1001_7 + 12891890/2635821, c_0101_5 + 39149941375/56120729256*c_1001_7^11 - 11619497675/21045273471*c_1001_7^10 - 495739337555/168362187768*c_1001_7^9 - 51102375443/168362187768*c_1001_7^8 + 2505372782369/336724375536*c_1001_7^7 + 167086042583/42090546942*c_1001_7^6 - 2804113159267/336724375536*c_1001_7^5 - 1646327063411/168362187768*c_1001_7^4 + 452789956187/168362187768*c_1001_7^3 + 172336437803/21045273471*c_1001_7^2 + 1351228630201/336724375536*c_1001_7 + 25354994713/42090546942, c_1001_0 + 104620800350/63135820413*c_1001_7^11 - 71976446500/63135820413*c_1001_7^10 - 6149443538/779454573*c_1001_7^9 + 12650046734/21045273471*c_1001_7^\ 8 + 1159063950871/63135820413*c_1001_7^7 + 484407391244/63135820413*c_1001_7^6 - 478527563987/21045273471*c_1001_7^5 - 1164227454824/63135820413*c_1001_7^4 + 538620911516/63135820413*c_1001_7^3 + 1022425065007/63135820413*c_1001_7^2 + 425878068113/63135820413*c_1001_7 + 97771738169/63135820413, c_1001_1 + 6547683200/63135820413*c_1001_7^11 + 5219163650/63135820413*c_1001_7^10 - 4404198052/21045273471*c_1001_7^9 - 24609377126/21045273471*c_1001_7^8 + 80507906302/63135820413*c_1001_7^7 + 132489681455/63135820413*c_1001_7^6 - 1480126190/779454573*c_1001_7^5 - 196101004889/63135820413*c_1001_7\ ^4 + 111837540662/63135820413*c_1001_7^3 + 160402220569/63135820413*c_1001_7^2 - 126002371684/63135820413*c_1001_7 - 62810318527/63135820413, c_1001_10 + 223285060375/84181093884*c_1001_7^11 - 44023835350/21045273471*c_1001_7^10 - 1028298938905/84181093884*c_1001_7^9 + 7354175807/84181093884*c_1001_7^8 + 5182948038611/168362187768*c_1001_7^7 + 288964690385/21045273471*c_1001_7^6 - 6297462369401/168362187768*c_1001_7^5 - 2861074750853/84181093884*c_1001_7^4 + 1232567165621/84181093884*c_1001_7^3 + 622875686953/21045273471*c_1001_7^2 + 2222153800435/168362187768*c_1001_7 + 19928018453/7015091157, c_1001_7^12 - 127/25*c_1001_7^10 - 87/25*c_1001_7^9 + 541/50*c_1001_7^8 + 344/25*c_1001_7^7 - 431/50*c_1001_7^6 - 559/25*c_1001_7^5 - 29/5*c_1001_7^4 + 68/5*c_1001_7^3 + 137/10*c_1001_7^2 + 144/25*c_1001_7 + 32/25 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.320 Total time: 0.530 seconds, Total memory usage: 32.09MB