Magma V2.19-8 Wed Aug 21 2013 00:05:05 on localhost [Seed = 3120551878] Type ? for help. Type -D to quit. Loading file "L9a22__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L9a22 geometric_solution 11.37352243 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 1 0 -1 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 1.093021595645 0.919072176495 0 5 2 6 0132 0132 2103 0132 0 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 0 0 0 0 0 0 0 1 -1 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 0.905285795431 0.757740315103 1 0 3 7 2103 0132 0213 0132 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 0 0 0 0 0 0 0 -1 0 1 -1 0 1 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 0.672643463994 0.623229744989 8 2 4 0 0132 0213 0213 0132 1 0 0 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 -2 1 0 -1 0 1 -5 1 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.275739968077 0.430600466993 8 3 0 9 1302 0213 0132 0132 1 0 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 0 1 -1 0 0 0 0 -2 2 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.635546960867 0.420506831017 9 1 7 9 1302 0132 2103 2103 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 0 0 0 0 0 0 0 0 -1 1 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 0.237955861811 0.724777687587 8 10 1 10 2103 0132 0132 1302 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 0 0 0.463242308406 1.001413195273 5 11 2 11 2103 0132 0132 0213 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 -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 0 0 0 0.411906463862 0.628706719484 3 4 6 11 0132 2031 2103 1302 0 0 1 0 0 -1 0 1 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 0 0 0 0 2 0 -2 -1 0 0 1 5 -4 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.393299826239 0.814433896480 10 5 4 5 0213 2031 0132 2103 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 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 0.689000466833 0.655306090647 9 6 6 11 0213 0132 2031 3120 0 0 0 0 0 -1 0 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 2 0 -2 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 0 0.269905755106 0.754977261003 10 7 8 7 3120 0132 2031 0213 1 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 1 -1 -2 0 2 0 0 0 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.411906463862 0.628706719484 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_4']), 'c_1001_10' : d['c_0101_11'], 'c_1001_5' : negation(d['c_0011_11']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0110_5']), 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_11' : d['c_1001_0'], 'c_1010_10' : negation(d['c_0011_11']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_9'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : 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_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' : d['1'], 's_0_2' : 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_1100_8' : d['c_0101_11'], 'c_1100_5' : d['c_0110_10'], 'c_1100_4' : negation(d['c_0110_5']), 'c_1100_7' : d['c_1001_0'], 'c_1100_6' : d['c_0011_9'], 'c_1100_1' : d['c_0011_9'], 'c_1100_0' : negation(d['c_0110_5']), 'c_1100_3' : negation(d['c_0110_5']), 'c_1100_2' : d['c_1001_0'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0011_4']), 'c_1100_10' : negation(d['c_0101_11']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_4']), 'c_1010_6' : d['c_0101_11'], 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_11']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_0'], 'c_1010_8' : d['c_0011_4'], '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' : d['1'], 's_3_8' : d['1'], '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' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(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_0110_10'], 'c_0110_10' : d['c_0110_10'], 'c_0110_0' : d['c_0011_3'], 'c_0101_7' : negation(d['c_0011_9']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_9']), 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : d['c_0101_0'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0110_10']), 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0110_5']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_9']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_10'], 'c_0110_7' : negation(d['c_0110_10']), 'c_0110_6' : negation(d['c_0101_11'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_4, c_0011_9, c_0101_0, c_0101_11, c_0110_10, c_0110_5, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 3105798978707364604800367/837940114128399571375*c_1001_2^10 + 18239275814411538272284838/837940114128399571375*c_1001_2^9 + 8138804642878647715028116/837940114128399571375*c_1001_2^8 - 31707556537775811176694321/167588022825679914275*c_1001_2^7 + 97688841646287161501130773/837940114128399571375*c_1001_2^6 + 75964634588430065770283377/837940114128399571375*c_1001_2^5 - 665964026604362810577999778/837940114128399571375*c_1001_2^4 + 252401138271365912739353537/837940114128399571375*c_1001_2^3 - 227583192427250472317597959/167588022825679914275*c_1001_2^2 - 37401272937697756218284893/837940114128399571375*c_1001_2 - 961482152745052159292455456/837940114128399571375, c_0011_0 - 1, c_0011_10 + 1194141292430955/7522600638734699689*c_1001_2^10 + 3839483257755980/7522600638734699689*c_1001_2^9 - 70890451610435944/7522600638734699689*c_1001_2^8 + 54037919650030504/7522600638734699689*c_1001_2^7 + 506035122723509273/7522600638734699689*c_1001_2^6 - 351785474200702771/7522600638734699689*c_1001_2^5 - 149721892472893915/7522600638734699689*c_1001_2^4 + 1773319104234320074/7522600638734699689*c_1001_2^3 - 1889322683681279883/7522600638734699689*c_1001_2^2 + 1742369294001074135/7522600638734699689*c_1001_2 + 4784552211151489816/7522600638734699689, c_0011_11 + 12875732811500315/7522600638734699689*c_1001_2^10 - 92257857370712045/7522600638734699689*c_1001_2^9 + 66863480507915585/7522600638734699689*c_1001_2^8 + 708947588424369179/7522600638734699689*c_1001_2^7 - 1392704911094833174/7522600638734699689*c_1001_2^6 + 183525287980850389/7522600638734699689*c_1001_2^5 + 4435521452362263687/7522600638734699689*c_1001_2^4 - 4995004081308292204/7522600638734699689*c_1001_2^3 + 5465296032123330765/7522600638734699689*c_1001_2^2 + 1221889197843852403/7522600638734699689*c_1001_2 - 625341764064691101/7522600638734699689, c_0011_3 + 44359704933871/21554729623881661*c_1001_2^10 - 299994970605598/21554729623881661*c_1001_2^9 + 113529209310124/21554729623881661*c_1001_2^8 + 2427085113559108/21554729623881661*c_1001_2^7 - 3821261824261754/21554729623881661*c_1001_2^6 + 675544422233201/21554729623881661*c_1001_2^5 + 12904302687803443/21554729623881661*c_1001_2^4 - 16257281368069402/21554729623881661*c_1001_2^3 + 15253829074625831/21554729623881661*c_1001_2^2 - 11327929235357461/21554729623881661*c_1001_2 + 21013861261538541/21554729623881661, c_0011_4 + 50326313283683/21554729623881661*c_1001_2^10 - 415090055857700/21554729623881661*c_1001_2^9 + 556045844737142/21554729623881661*c_1001_2^8 + 3071797863084037/21554729623881661*c_1001_2^7 - 8290035481675996/21554729623881661*c_1001_2^6 + 1674143150171914/21554729623881661*c_1001_2^5 + 19058410846891976/21554729623881661*c_1001_2^4 - 33026220981128547/21554729623881661*c_1001_2^3 + 27131620147302830/21554729623881661*c_1001_2^2 - 25557810787983306/21554729623881661*c_1001_2 + 18840251658576588/21554729623881661, c_0011_9 - 5472050233518489/7522600638734699689*c_1001_2^10 + 35499750170764790/7522600638734699689*c_1001_2^9 - 355998366303600/7522600638734699689*c_1001_2^8 - 315101780713494784/7522600638734699689*c_1001_2^7 + 286388381248180192/7522600638734699689*c_1001_2^6 + 429128247441644826/7522600638734699689*c_1001_2^5 - 1289336896719528405/7522600638734699689*c_1001_2^4 + 558430302598031367/7522600638734699689*c_1001_2^3 - 1730185719340703821/7522600638734699689*c_1001_2^2 - 1555170665126251783/7522600638734699689*c_1001_2 + 4577040099739885518/7522600638734699689, c_0101_0 - 1, c_0101_11 + 8893481787494736/7522600638734699689*c_1001_2^10 - 87392611409909669/7522600638734699689*c_1001_2^9 + 220393841532441834/7522600638734699689*c_1001_2^8 + 332714162576431603/7522600638734699689*c_1001_2^7 - 2174130766886421062/7522600638734699689*c_1001_2^6 + 2506603691924669007/7522600638734699689*c_1001_2^5 + 2526012663890050551/7522600638734699689*c_1001_2^4 - 8915494840733021809/7522600638734699689*c_1001_2^3 + 11139054399561309515/7522600638734699689*c_1001_2^2 - 9348282663713224472/7522600638734699689*c_1001_2 + 3890278093830065537/7522600638734699689, c_0110_10 - 7645659836480442/7522600638734699689*c_1001_2^10 + 52797363705582849/7522600638734699689*c_1001_2^9 - 49218621531135010/7522600638734699689*c_1001_2^8 - 278038393509410964/7522600638734699689*c_1001_2^7 + 704844385495994230/7522600638734699689*c_1001_2^6 - 1154383464628507115/7522600638734699689*c_1001_2^5 - 1466839464585710194/7522600638734699689*c_1001_2^4 + 3408289951876640203/7522600638734699689*c_1001_2^3 - 8578058842454919900/7522600638734699689*c_1001_2^2 + 3461795870025764021/7522600638734699689*c_1001_2 - 1032577004603272475/7522600638734699689, c_0110_5 + 39403948441106/21554729623881661*c_1001_2^10 - 307783796439700/21554729623881661*c_1001_2^9 + 311260109742620/21554729623881661*c_1001_2^8 + 2571396691092076/21554729623881661*c_1001_2^7 - 5885343361871016/21554729623881661*c_1001_2^6 - 1211467065380726/21554729623881661*c_1001_2^5 + 18436288031103708/21554729623881661*c_1001_2^4 - 16365497174322781/21554729623881661*c_1001_2^3 + 5755505246313254/21554729623881661*c_1001_2^2 - 72221348082069/21554729623881661*c_1001_2 + 16657144138992821/21554729623881661, c_1001_0 - 31367841094789/21554729623881661*c_1001_2^10 + 246086940944656/21554729623881661*c_1001_2^9 - 255067937526298/21554729623881661*c_1001_2^8 - 1996542566350055/21554729623881661*c_1001_2^7 + 4483278032328471/21554729623881661*c_1001_2^6 + 1111469186320709/21554729623881661*c_1001_2^5 - 14971984527297288/21554729623881661*c_1001_2^4 + 14141963398933772/21554729623881661*c_1001_2^3 + 4987941197145674/21554729623881661*c_1001_2^2 + 3871171691558692/21554729623881661*c_1001_2 - 11185093905474332/21554729623881661, c_1001_2^11 - 7*c_1001_2^10 + 4*c_1001_2^9 + 54*c_1001_2^8 - 89*c_1001_2^7 + 11*c_1001_2^6 + 242*c_1001_2^5 - 323*c_1001_2^4 + 458*c_1001_2^3 - 401*c_1001_2^2 + 296*c_1001_2 - 349 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.190 Total time: 0.400 seconds, Total memory usage: 32.09MB