Magma V2.19-8 Wed Aug 21 2013 00:54:09 on localhost [Seed = 3120540701] Type ? for help. Type -D to quit. Loading file "L12n216__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n216 geometric_solution 11.81741481 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 2031 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 1 0 -1 0 0 0 0 2 -1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.687374303816 0.872570697733 0 0 5 4 0132 1302 0132 0132 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 -1 1 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.442908756832 0.707186015034 5 0 5 4 0132 0132 3012 2031 1 1 1 0 0 0 0 0 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 -1 0 1 1 0 -4 3 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.363892955992 1.015662929776 6 7 8 0 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 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 0.528354429374 0.351224720367 6 2 1 9 2103 1302 0132 0132 1 1 1 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 -3 0 3 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 0.634323549017 0.616861833348 2 2 8 1 0132 1230 3120 0132 1 1 0 1 0 1 -1 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 4 -4 0 -1 0 1 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 0.442908756832 0.707186015034 3 10 4 10 0132 0132 2103 1230 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 -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 0 0.040411608169 1.158755161820 8 3 9 11 0321 0132 2031 0132 1 1 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 0 0 0 0 0 0 0 0 4 0 -4 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 0.712651386383 1.157643244208 7 12 5 3 0321 0132 3120 0132 1 1 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 0 0 0 1 0 -1 0 0 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.936614056459 0.868682530033 10 12 4 7 3201 2310 0132 1302 1 1 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 -3 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.328278756056 1.038911255298 6 6 11 9 3012 0132 3201 2310 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 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 0.423935705262 0.511925416078 10 12 7 12 2310 0213 0132 1230 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 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 -0.746137052967 0.925416676562 11 8 11 9 3012 0132 0213 3201 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 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.806753498311 0.688457876912 ==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' : negation(d['c_0011_12']), 'c_1001_12' : d['c_1001_11'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0101_5'], 'c_1001_7' : d['c_0011_4'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : d['c_1001_11'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_1001_5'], 'c_1001_8' : negation(d['c_1001_5']), 'c_1010_12' : negation(d['c_1001_5']), 'c_1010_11' : d['c_0011_11'], 'c_1010_10' : d['c_0011_4'], 's_3_11' : 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' : d['1'], 'c_0101_11' : d['c_0011_12'], 'c_0101_10' : negation(d['c_0011_12']), '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' : 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' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_7'], 'c_1100_4' : d['c_0101_7'], 'c_1100_7' : d['c_0110_12'], 'c_1100_6' : negation(d['c_0101_9']), 'c_1100_1' : d['c_0101_7'], 'c_1100_0' : negation(d['c_0101_5']), 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : negation(d['c_1001_5']), 's_0_10' : d['1'], 'c_1100_9' : d['c_0101_7'], 'c_1100_11' : d['c_0110_12'], 'c_1100_10' : negation(d['c_0011_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : negation(d['c_0011_12']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_1001_5'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0101_5'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0110_12']), 'c_1010_8' : d['c_1001_11'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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' : d['c_0011_11'], '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' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0110_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_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_12'], 'c_0110_10' : negation(d['c_0101_9']), 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : d['c_0011_11'], 'c_0011_6' : negation(d['c_0011_10']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_10'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0101_7']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_4']), 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0011_12'], 'c_1100_8' : negation(d['c_0101_5'])})} 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_4, c_0101_0, c_0101_1, c_0101_5, c_0101_7, c_0101_9, c_0110_12, c_1001_11, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 14015/351*c_1001_11^5 - 439/78*c_1001_11^4 - 101411/702*c_1001_11^3 + 128599/702*c_1001_11^2 - 47327/351*c_1001_11 + 43637/702, c_0011_0 - 1, c_0011_10 - c_1001_11, c_0011_11 - c_1001_11^5 - c_1001_11^4 + 3*c_1001_11^3 + 2*c_1001_11, c_0011_12 - c_1001_11^5 - c_1001_11^4 + 2*c_1001_11^3 - 2*c_1001_11^2 + 2*c_1001_11 - 1, c_0011_4 - 2*c_1001_11^2 - 1, c_0101_0 - 1, c_0101_1 + 1, c_0101_5 + 2*c_1001_11^2, c_0101_7 - 2*c_1001_11^2 - 1, c_0101_9 + c_1001_11^5 + 2*c_1001_11^4 - c_1001_11^3 + 2*c_1001_11^2 - c_1001_11, c_0110_12 - c_1001_11^5 - 2*c_1001_11^4 + c_1001_11^3 + c_1001_11, c_1001_11^6 + c_1001_11^5 - 2*c_1001_11^4 + 2*c_1001_11^3 - 3*c_1001_11^2 + c_1001_11 - 1, c_1001_5 + 1 ], 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_4, c_0101_0, c_0101_1, c_0101_5, c_0101_7, c_0101_9, c_0110_12, c_1001_11, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 2863629684307852153728/3027358518610658323*c_1001_11^8 + 3140928903035641528224/3027358518610658323*c_1001_11^7 + 361986773071403291323/465747464401639742*c_1001_11^6 + 14273872468792835492189/6054717037221316646*c_1001_11^5 + 6505870319611205483887/6054717037221316646*c_1001_11^4 + 1387971756681424741097/864959576745902378*c_1001_11^3 + 259366156849977726037/432479788372951189*c_1001_11^2 + 1731432943544203505617/6054717037221316646*c_1001_11 - 63242058426678037/432479788372951189, c_0011_0 - 1, c_0011_10 - 410458293433984/95322853950397*c_1001_11^8 + 496031012404448/95322853950397*c_1001_11^7 + 649866677521845/190645707900794*c_1001_11^6 + 1906059465692029/190645707900794*c_1001_11^5 + 333560609249595/95322853950397*c_1001_11^4 + 468279213834185/95322853950397*c_1001_11^3 + 280150210523745/190645707900794*c_1001_11^2 + 43430189462111/190645707900794*c_1001_11 - 41642750056765/190645707900794, c_0011_11 - 261683131610112/95322853950397*c_1001_11^8 + 298290976449536/95322853950397*c_1001_11^7 + 214447215780308/95322853950397*c_1001_11^6 + 535132807113471/95322853950397*c_1001_11^5 + 400558339759099/95322853950397*c_1001_11^4 + 505626128757503/95322853950397*c_1001_11^3 + 237023493210396/95322853950397*c_1001_11^2 + 100269325102102/95322853950397*c_1001_11 + 58549138892004/95322853950397, c_0011_12 + 261296095932928/95322853950397*c_1001_11^8 - 254760299874432/95322853950397*c_1001_11^7 - 292786769740226/95322853950397*c_1001_11^6 - 565399937591079/95322853950397*c_1001_11^5 - 400050432949721/95322853950397*c_1001_11^4 - 457788188515442/95322853950397*c_1001_11^3 - 284747948669860/95322853950397*c_1001_11^2 - 125454216838040/95322853950397*c_1001_11 - 59962803412627/95322853950397, c_0011_4 + 217581406291328/95322853950397*c_1001_11^8 - 21164594909216/95322853950397*c_1001_11^7 - 745586892074243/190645707900794*c_1001_11^6 - 1460809537281307/190645707900794*c_1001_11^5 - 930373109401629/95322853950397*c_1001_11^4 - 708874647421987/95322853950397*c_1001_11^3 - 1092785986542763/190645707900794*c_1001_11^2 - 484739748414867/190645707900794*c_1001_11 - 141411170412299/190645707900794, c_0101_0 - 1, c_0101_1 - 1, c_0101_5 + 217581406291328/95322853950397*c_1001_11^8 - 21164594909216/95322853950397*c_1001_11^7 - 745586892074243/190645707900794*c_1001_11^6 - 1460809537281307/190645707900794*c_1001_11^5 - 930373109401629/95322853950397*c_1001_11^4 - 708874647421987/95322853950397*c_1001_11^3 - 1092785986542763/190645707900794*c_1001_11^2 - 484739748414867/190645707900794*c_1001_11 - 332056878313093/190645707900794, c_0101_7 + 217581406291328/95322853950397*c_1001_11^8 - 21164594909216/95322853950397*c_1001_11^7 - 745586892074243/190645707900794*c_1001_11^6 - 1460809537281307/190645707900794*c_1001_11^5 - 930373109401629/95322853950397*c_1001_11^4 - 708874647421987/95322853950397*c_1001_11^3 - 1092785986542763/190645707900794*c_1001_11^2 - 484739748414867/190645707900794*c_1001_11 - 141411170412299/190645707900794, c_0101_9 - 246901123854464/95322853950397*c_1001_11^8 - 232423188234912/95322853950397*c_1001_11^7 + 1574519913450697/190645707900794*c_1001_11^6 + 2014844070789335/190645707900794*c_1001_11^5 + 1495288578961757/95322853950397*c_1001_11^4 + 955272498331622/95322853950397*c_1001_11^3 + 1566647512375409/190645707900794*c_1001_11^2 + 670899870424147/190645707900794*c_1001_11 + 126364377080759/190645707900794, c_0110_12 + 88256738286336/95322853950397*c_1001_11^8 - 143654793291584/95322853950397*c_1001_11^7 - 8220559480851/95322853950397*c_1001_11^6 - 143624565533192/95322853950397*c_1001_11^5 - 91367480505508/95322853950397*c_1001_11^4 - 141511478254889/95322853950397*c_1001_11^3 + 23203288911401/95322853950397*c_1001_11^2 - 29918046357750/95322853950397*c_1001_11 - 26517584686029/95322853950397, c_1001_11^9 - 3/4*c_1001_11^8 - 233/256*c_1001_11^7 - 761/256*c_1001_11^6 - 299/128*c_1001_11^5 - 385/128*c_1001_11^4 - 469/256*c_1001_11^3 - 321/256*c_1001_11^2 - 119/256*c_1001_11 - 7/32, c_1001_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.110 Total time: 0.320 seconds, Total memory usage: 32.09MB