Magma V2.19-8 Wed Aug 21 2013 00:50:49 on localhost [Seed = 1242324829] Type ? for help. Type -D to quit. Loading file "L10a33__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L10a33 geometric_solution 11.57189681 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 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 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 0.170428932861 1.234173191967 0 3 6 5 0132 0213 0132 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 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 -0.146116258486 0.928327568733 3 0 8 7 0213 0132 0132 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 -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 -0.183110495143 0.571197319080 2 9 1 0 0213 0132 0213 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.773013043368 0.664604482595 10 6 0 11 0132 0132 0132 0132 1 1 0 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 0 0 0 0 1 -1 0 0 0 0 1 -2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.247302551237 1.144832288739 7 11 1 10 0321 0321 0132 1023 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 -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 0.801938724364 1.219726925806 11 4 10 1 1023 0132 1023 0132 1 1 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 0 -1 1 0 0 -1 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.180276015130 0.834547811876 5 12 2 12 0321 0132 0132 1230 1 1 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 1 -1 0 0 0 0 0 -1 -9 0 10 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.485262997999 1.181472739436 9 9 12 2 2310 0321 1230 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 -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 -0.462105709732 0.911485869975 12 3 8 8 2103 0132 3201 0321 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 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.383709318528 0.423862985660 4 11 6 5 0132 1023 1023 1023 1 1 1 0 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 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 -0.180276015130 0.834547811876 10 6 4 5 1023 1023 0132 0321 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 -1 1 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 0.247302551237 1.144832288739 7 7 9 8 3012 0132 2103 3012 1 1 1 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 -1 1 0 0 0 0 0 0 1 0 -1 -10 9 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.309927191475 0.711374015301 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_0101_10'], 'c_1001_12' : negation(d['c_0011_3']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : negation(d['c_0101_8']), 'c_1001_6' : d['c_0101_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_8']), 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : negation(d['c_0101_8']), 'c_1001_8' : negation(d['c_0011_8']), 'c_1010_12' : negation(d['c_0101_8']), 'c_1010_11' : d['c_0101_1'], 'c_1010_10' : d['c_0011_12'], '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'], 'c_0101_12' : negation(d['c_0011_3']), 'c_0101_11' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(d['1']), 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(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' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0011_8']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1001_5'], 'c_1100_7' : d['c_0110_12'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_1001_5'], 'c_1100_3' : d['c_1001_5'], 'c_1100_2' : d['c_0110_12'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_5'], 'c_1100_10' : negation(d['c_1100_1']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_10'], 'c_1010_3' : negation(d['c_0101_8']), 'c_1010_2' : negation(d['c_0101_8']), 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_1001_1'], 'c_1010_8' : d['c_1001_1'], 'c_1100_8' : d['c_0110_12'], 's_3_1' : 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' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_8'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : 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' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_12']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : d['c_0011_10'], '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_0011_12'], 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0110_12'], 'c_0011_11' : d['c_0011_10'], 'c_0101_7' : negation(d['c_0101_0']), 'c_0101_6' : d['c_0101_10'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_3']), 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_8']), 'c_0110_8' : d['c_0011_3'], '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_0101_0']), 'c_0110_5' : d['c_0011_12'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0011_12'], 'c_0110_6' : d['c_0101_1'], '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_12, c_0011_3, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_8, c_0110_12, c_1001_1, c_1001_5, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 47161121564241385/1607428242711036928*c_1100_1^6 - 768487730258784037/1607428242711036928*c_1100_1^5 + 3421795999420121891/1607428242711036928*c_1100_1^4 + 22942940352408662753/1607428242711036928*c_1100_1^3 - 856451987117264347/50232132584719904*c_1100_1^2 - 7186445170657441921/114816303050788352*c_1100_1 - 73655135401908367267/1607428242711036928, c_0011_0 - 1, c_0011_10 + 1, c_0011_12 + 74963211/68259083501*c_1100_1^6 - 1430897879/68259083501*c_1100_1^5 + 9690415757/68259083501*c_1100_1^4 + 4578080863/68259083501*c_1100_1^3 - 22622838314/68259083501*c_1100_1^2 - 7962633739/9751297643*c_1100_1 - 77525563593/68259083501, c_0011_3 - 123870121/68259083501*c_1100_1^6 + 2494999359/68259083501*c_1100_1^5 - 18468519570/68259083501*c_1100_1^4 + 9077385734/68259083501*c_1100_1^3 + 46884563953/68259083501*c_1100_1^2 + 10492479363/9751297643*c_1100_1 + 23099743437/68259083501, c_0011_8 - 297097527/68259083501*c_1100_1^6 + 5711905278/68259083501*c_1100_1^5 - 39015480895/68259083501*c_1100_1^4 - 16474029314/68259083501*c_1100_1^3 + 124681467499/68259083501*c_1100_1^2 + 39116108532/9751297643*c_1100_1 + 147723338397/68259083501, c_0101_0 - 224889633/68259083501*c_1100_1^6 + 4292693637/68259083501*c_1100_1^5 - 29071247271/68259083501*c_1100_1^4 - 13734242589/68259083501*c_1100_1^3 + 67868514942/68259083501*c_1100_1^2 + 33639198860/9751297643*c_1100_1 + 164317607278/68259083501, c_0101_1 + 74963211/68259083501*c_1100_1^6 - 1430897879/68259083501*c_1100_1^5 + 9690415757/68259083501*c_1100_1^4 + 4578080863/68259083501*c_1100_1^3 - 22622838314/68259083501*c_1100_1^2 - 17713931382/9751297643*c_1100_1 - 77525563593/68259083501, c_0101_10 + 1, c_0101_8 + 252808426/68259083501*c_1100_1^6 - 4762247561/68259083501*c_1100_1^5 + 31269021465/68259083501*c_1100_1^4 + 26966077569/68259083501*c_1100_1^3 - 98867916935/68259083501*c_1100_1^2 - 39056435553/9751297643*c_1100_1 - 189493342464/68259083501, c_0110_12 + 3328712/9751297643*c_1100_1^6 - 50730023/9751297643*c_1100_1^5 + 166589973/9751297643*c_1100_1^4 + 2342179046/9751297643*c_1100_1^3 - 4650175274/9751297643*c_1100_1^2 - 2947064048/9751297643*c_1100_1 - 5404507325/9751297643, c_1001_1 - 74963211/68259083501*c_1100_1^6 + 1430897879/68259083501*c_1100_1^5 - 9690415757/68259083501*c_1100_1^4 - 4578080863/68259083501*c_1100_1^3 + 22622838314/68259083501*c_1100_1^2 + 7962633739/9751297643*c_1100_1 + 77525563593/68259083501, c_1001_5 + 149926422/68259083501*c_1100_1^6 - 2861795758/68259083501*c_1100_1^5 + 19380831514/68259083501*c_1100_1^4 + 9156161726/68259083501*c_1100_1^3 - 45245676628/68259083501*c_1100_1^2 - 25676565121/9751297643*c_1100_1 - 155051127186/68259083501, c_1100_1^7 - 18*c_1100_1^6 + 108*c_1100_1^5 + 210*c_1100_1^4 - 301*c_1100_1^3 - 1406*c_1100_1^2 - 1717*c_1100_1 - 793 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_3, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_8, c_0110_12, c_1001_1, c_1001_5, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 22795022442889455/971871604929232*c_1100_1^6 + 16995797258479171/138838800704176*c_1100_1^5 - 90666677331882121/971871604929232*c_1100_1^4 - 561834889375565433/971871604929232*c_1100_1^3 + 365690753007952479/242967901232308*c_1100_1^2 - 341599721747185103/242967901232308*c_1100_1 + 661175936378280749/971871604929232, c_0011_0 - 1, c_0011_10 + 1, c_0011_12 + 25379120/4342745071*c_1100_1^6 + 26386184/620392153*c_1100_1^5 + 234787148/4342745071*c_1100_1^4 - 463178900/4342745071*c_1100_1^3 + 699112658/4342745071*c_1100_1^2 - 331611487/4342745071*c_1100_1 - 2204669088/4342745071, c_0011_3 + 56324705/4342745071*c_1100_1^6 + 42646031/620392153*c_1100_1^5 - 338285298/4342745071*c_1100_1^4 - 2489162954/4342745071*c_1100_1^3 + 2445736203/4342745071*c_1100_1^2 + 1362525735/4342745071*c_1100_1 - 2049689909/4342745071, c_0011_8 + 104798270/4342745071*c_1100_1^6 + 107646499/620392153*c_1100_1^5 + 655266856/4342745071*c_1100_1^4 - 3627926713/4342745071*c_1100_1^3 + 576634759/4342745071*c_1100_1^2 + 6480470742/4342745071*c_1100_1 - 5152652478/4342745071, c_0101_0 + 76137360/4342745071*c_1100_1^6 + 79158552/620392153*c_1100_1^5 + 704361444/4342745071*c_1100_1^4 - 1389536700/4342745071*c_1100_1^3 + 2097337974/4342745071*c_1100_1^2 + 3347910610/4342745071*c_1100_1 - 2271262193/4342745071, c_0101_1 + 25379120/4342745071*c_1100_1^6 + 26386184/620392153*c_1100_1^5 + 234787148/4342745071*c_1100_1^4 - 463178900/4342745071*c_1100_1^3 + 699112658/4342745071*c_1100_1^2 + 4011133584/4342745071*c_1100_1 - 2204669088/4342745071, c_0101_10 - 1, c_0101_8 - 118800145/4342745071*c_1100_1^6 - 120380384/620392153*c_1100_1^5 - 793058914/4342745071*c_1100_1^4 + 3054281364/4342745071*c_1100_1^3 - 2288247013/4342745071*c_1100_1^2 - 3410678955/4342745071*c_1100_1 + 1485628469/4342745071, c_0110_12 + 24940760/4342745071*c_1100_1^6 + 20972987/620392153*c_1100_1^5 - 66994407/4342745071*c_1100_1^4 - 512125690/4342745071*c_1100_1^3 + 3200003006/4342745071*c_1100_1^2 + 664549720/4342745071*c_1100_1 - 1476996049/4342745071, c_1001_1 - 25379120/4342745071*c_1100_1^6 - 26386184/620392153*c_1100_1^5 - 234787148/4342745071*c_1100_1^4 + 463178900/4342745071*c_1100_1^3 - 699112658/4342745071*c_1100_1^2 + 331611487/4342745071*c_1100_1 + 2204669088/4342745071, c_1001_5 - 50758240/4342745071*c_1100_1^6 - 52772368/620392153*c_1100_1^5 - 469574296/4342745071*c_1100_1^4 + 926357800/4342745071*c_1100_1^3 - 1398225316/4342745071*c_1100_1^2 - 3679522097/4342745071*c_1100_1 + 4409338176/4342745071, c_1100_1^7 + 32/5*c_1100_1^6 + 2*c_1100_1^5 - 152/5*c_1100_1^4 + 177/5*c_1100_1^3 + 106/5*c_1100_1^2 - 253/5*c_1100_1 + 197/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.640 Total time: 0.840 seconds, Total memory usage: 32.09MB