Magma V2.19-8 Tue Aug 20 2013 23:29:43 on localhost [Seed = 1377055744] Type ? for help. Type -D to quit. Loading file "K12n721__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n721 geometric_solution 7.60184747 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 9 1 2 3 4 0132 0132 0132 0132 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 -1 1 0 -1 0 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 0.746580318115 0.361300331389 0 5 6 5 0132 0132 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.826748232790 0.738483820136 7 0 7 5 0132 0132 1230 1023 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 1 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 0.541644909781 0.371241934686 7 4 5 0 1230 0321 3120 0132 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 0 1 -1 0 0 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 0.144201422492 1.805547067474 8 6 0 3 0132 0213 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.470159247152 0.378228983284 1 1 3 2 3012 0132 3120 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.301111291769 1.283483687429 8 7 4 1 2031 1230 0213 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0.923796867279 0.723474426795 2 3 6 2 0132 3012 3012 3012 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.602660135364 0.419935795904 4 8 6 8 0132 2310 1302 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.525579431558 0.964038355553 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0101_5'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : d['c_1001_2'], 'c_1001_1' : d['c_0101_7'], 'c_1001_0' : d['c_0110_5'], 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : d['c_1001_2'], 'c_1001_8' : d['c_0101_1'], 's_2_8' : d['1'], 's_2_0' : negation(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_0_8' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_8' : d['c_0011_4'], 'c_1100_5' : negation(d['c_0101_2']), 'c_1100_4' : negation(d['c_0101_5']), 'c_1100_7' : negation(d['c_1001_2']), 'c_1100_6' : d['c_0110_5'], 'c_1100_1' : d['c_0110_5'], 'c_1100_0' : negation(d['c_0101_5']), 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : d['c_0101_2'], 'c_1010_7' : negation(d['c_0101_2']), 'c_1010_6' : d['c_0101_7'], 'c_1010_5' : d['c_0101_7'], 'c_1010_4' : d['c_0110_5'], 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : d['c_0110_5'], 'c_1010_1' : d['c_0101_5'], 'c_1010_0' : d['c_1001_2'], 'c_1010_8' : negation(d['c_0101_1']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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_8' : d['1'], 's_1_7' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_3'], '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_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_8' : negation(d['c_0011_3']), 'c_0110_8' : d['c_0101_1'], '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_0101_7'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_1, c_0101_2, c_0101_5, c_0101_7, c_0110_5, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 812068740595955/348161971136876*c_1001_2^15 + 1251596235303981/174080985568438*c_1001_2^14 + 80625777365759/6695422521863*c_1001_2^13 - 3800380599735815/87040492784219*c_1001_2^12 + 29365649959548601/174080985568438*c_1001_2^11 - 162910842518504767/348161971136876*c_1001_2^10 + 196255561264233831/348161971136876*c_1001_2^9 - 417358906670240697/348161971136876*c_1001_2^8 + 206883526486775985/174080985568438*c_1001_2^7 - 509006404331738903/348161971136876*c_1001_2^6 + 288287618629958217/174080985568438*c_1001_2^5 - 170421440608285891/174080985568438*c_1001_2^4 + 97787516014126955/348161971136876*c_1001_2^3 + 117356215723613767/348161971136876*c_1001_2^2 - 115863278995342373/348161971136876*c_1001_2 - 898096090732985/13390845043726, c_0011_0 - 1, c_0011_3 - 36083654301347/36500851812737*c_1001_2^15 + 5577359968553/36500851812737*c_1001_2^14 + 251643249135545/36500851812737*c_1001_2^13 + 32946091092471/36500851812737*c_1001_2^12 + 2376853626929011/36500851812737*c_1001_2^11 - 185033337873032/36500851812737*c_1001_2^10 + 4907366423488957/36500851812737*c_1001_2^9 - 2536580201675706/36500851812737*c_1001_2^8 + 272954716322844/2807757831749*c_1001_2^7 - 5604002638963752/36500851812737*c_1001_2^6 + 110050254674114/2807757831749*c_1001_2^5 + 96505026337286/36500851812737*c_1001_2^4 - 2211226512905052/36500851812737*c_1001_2^3 + 1716914160236820/36500851812737*c_1001_2^2 + 1414783160249177/36500851812737*c_1001_2 + 174948229845546/36500851812737, c_0011_4 + 7417132296880/36500851812737*c_1001_2^15 - 2503883340616/36500851812737*c_1001_2^14 - 51295760995413/36500851812737*c_1001_2^13 + 2306394225872/36500851812737*c_1001_2^12 - 488872923951706/36500851812737*c_1001_2^11 + 129704408855322/36500851812737*c_1001_2^10 - 1029902263302174/36500851812737*c_1001_2^9 + 730301216969108/36500851812737*c_1001_2^8 - 65356838060273/2807757831749*c_1001_2^7 + 1354548820432827/36500851812737*c_1001_2^6 - 40026809709109/2807757831749*c_1001_2^5 + 116642151425205/36500851812737*c_1001_2^4 + 434246688929119/36500851812737*c_1001_2^3 - 468761749439739/36500851812737*c_1001_2^2 - 207247490178149/36500851812737*c_1001_2 - 49320852786879/36500851812737, c_0101_1 - 140941851581449/146003407250948*c_1001_2^15 + 48147477670241/146003407250948*c_1001_2^14 + 241575212229457/36500851812737*c_1001_2^13 - 22761404703573/73001703625474*c_1001_2^12 + 2336243936793855/36500851812737*c_1001_2^11 - 2497165873704915/146003407250948*c_1001_2^10 + 10062649344461017/73001703625474*c_1001_2^9 - 7047584633848375/73001703625474*c_1001_2^8 + 1350972519618791/11231031326996*c_1001_2^7 - 26659704406106659/146003407250948*c_1001_2^6 + 909391198190227/11231031326996*c_1001_2^5 - 1957936786990471/73001703625474*c_1001_2^4 - 6427430844052093/146003407250948*c_1001_2^3 + 3657864072050479/73001703625474*c_1001_2^2 + 1043386507903821/36500851812737*c_1001_2 + 586060213048807/146003407250948, c_0101_2 + 126044824327637/146003407250948*c_1001_2^15 - 21521477365929/146003407250948*c_1001_2^14 - 219297086399680/36500851812737*c_1001_2^13 - 51241545327741/73001703625474*c_1001_2^12 - 2077391034331472/36500851812737*c_1001_2^11 + 786781049281775/146003407250948*c_1001_2^10 - 8630391876809847/73001703625474*c_1001_2^9 + 4625398128367311/73001703625474*c_1001_2^8 - 989773008767679/11231031326996*c_1001_2^7 + 20183226459974363/146003407250948*c_1001_2^6 - 34761687583975/863925486692*c_1001_2^5 + 179798833217193/73001703625474*c_1001_2^4 + 7055896306561077/146003407250948*c_1001_2^3 - 2902786515584229/73001703625474*c_1001_2^2 - 1276695233779223/36500851812737*c_1001_2 - 849150399903687/146003407250948, c_0101_5 - 12820000974142/36500851812737*c_1001_2^15 + 7417132296880/36500851812737*c_1001_2^14 + 87236123478378/36500851812737*c_1001_2^13 - 25655759047129/36500851812737*c_1001_2^12 + 848426458519244/36500851812737*c_1001_2^11 - 424772919080996/36500851812737*c_1001_2^10 + 1860404540364492/36500851812737*c_1001_2^9 - 1670902312009274/36500851812737*c_1001_2^8 + 141972407824574/2807757831749*c_1001_2^7 - 2670079033111713/36500851812737*c_1001_2^6 + 119974525847623/2807757831749*c_1001_2^5 - 430608519399423/36500851812737*c_1001_2^4 - 639737906049173/36500851812737*c_1001_2^3 + 908586724972373/36500851812737*c_1001_2^2 + 183099149131814/36500851812737*c_1001_2 - 40587477514303/36500851812737, c_0101_7 - 58163011032705/146003407250948*c_1001_2^15 + 22788772483303/146003407250948*c_1001_2^14 + 98992286962143/36500851812737*c_1001_2^13 - 20091156115145/73001703625474*c_1001_2^12 + 967258853242762/36500851812737*c_1001_2^11 - 1212506338319915/146003407250948*c_1001_2^10 + 2121463774281183/36500851812737*c_1001_2^9 - 1529523801819544/36500851812737*c_1001_2^8 + 603940432203413/11231031326996*c_1001_2^7 - 11173713589043115/146003407250948*c_1001_2^6 + 428978065004965/11231031326996*c_1001_2^5 - 950797432800301/73001703625474*c_1001_2^4 - 2878191053408061/146003407250948*c_1001_2^3 + 796690571145658/36500851812737*c_1001_2^2 + 644293959274663/73001703625474*c_1001_2 + 170610380768969/146003407250948, c_0110_5 - 22789981862489/36500851812737*c_1001_2^15 + 27071292447909/73001703625474*c_1001_2^14 + 153228095602601/36500851812737*c_1001_2^13 - 47046786141288/36500851812737*c_1001_2^12 + 1520046781515136/36500851812737*c_1001_2^11 - 781218297691248/36500851812737*c_1001_2^10 + 6857393049939421/73001703625474*c_1001_2^9 - 6153001692870921/73001703625474*c_1001_2^8 + 549551322391103/5615515663498*c_1001_2^7 - 5036364985488112/36500851812737*c_1001_2^6 + 36556419483145/431962743346*c_1001_2^5 - 1239862589760127/36500851812737*c_1001_2^4 - 898450831293399/36500851812737*c_1001_2^3 + 2913806261365443/73001703625474*c_1001_2^2 + 598385685102405/73001703625474*c_1001_2 - 51733943118015/73001703625474, c_1001_2^16 - 7*c_1001_2^14 - 2*c_1001_2^13 - 66*c_1001_2^12 - 5*c_1001_2^11 - 135*c_1001_2^10 + 50*c_1001_2^9 - 87*c_1001_2^8 + 142*c_1001_2^7 - 16*c_1001_2^6 - 7*c_1001_2^5 + 59*c_1001_2^4 - 37*c_1001_2^3 - 48*c_1001_2^2 - 13*c_1001_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB