Magma V2.19-8 Tue Aug 20 2013 23:38:26 on localhost [Seed = 913330703] Type ? for help. Type -D to quit. Loading file "K11n122__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K11n122 geometric_solution 9.73049546 oriented_manifold CS_known 0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 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 1 -1 0 0 0 0 0 0 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.426815449635 0.531994008605 0 5 7 6 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 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 -5 0 0 5 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.486039684907 0.908472551170 5 0 3 7 0132 0132 0321 0321 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 -1 0 0 1 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.319302984676 1.242007436038 7 8 2 0 0321 0132 0321 0132 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 1 0 -1 0 0 0 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.481967360766 0.652853018414 8 9 0 9 0213 0132 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.497730926028 0.523555778610 2 1 6 8 0132 0132 2103 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 1 0 0 -1 0 -4 0 4 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.074024806355 1.107192956686 5 9 1 10 2103 1230 0132 0132 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 -1 0 0 1 4 1 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.657282491022 1.294450179614 3 2 10 1 0321 0321 0132 0132 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 -4 0 4 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.359740081629 0.500217910084 4 3 5 10 0213 0132 0132 0321 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 0 0 1 -1 0 0 0 0 -1 5 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.587624305623 0.845844182386 10 4 6 4 0321 0132 3012 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.497730926028 0.523555778610 9 8 6 7 0321 0321 0132 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 0 0 0 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.614509299757 0.894270679569 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_10'], 'c_1001_10' : negation(d['c_0101_10']), 'c_1001_5' : d['c_0011_6'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_3'], 'c_1001_6' : d['c_0011_6'], 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_6']), 'c_1001_8' : d['c_1001_0'], 'c_1010_10' : d['c_1001_3'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], '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' : negation(d['1']), 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_10' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0011_6']), 'c_1100_8' : negation(d['c_0101_10']), 'c_1100_5' : negation(d['c_0101_10']), 'c_1100_4' : d['c_1001_2'], 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_1001_2'], 'c_1100_3' : d['c_1001_2'], 'c_1100_2' : d['c_1001_3'], 'c_1100_10' : d['c_1100_1'], 'c_1010_7' : d['c_1001_0'], 'c_1010_6' : negation(d['c_0101_10']), 'c_1010_5' : d['c_1001_0'], 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_6'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_1001_3'], 's_3_1' : negation(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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), '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' : d['c_0011_7'], 'c_0011_6' : d['c_0011_6'], '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_10' : d['c_0011_4'], 'c_0101_7' : d['c_0011_4'], 'c_0101_6' : negation(d['c_0011_7']), 'c_0101_5' : negation(d['c_0011_7']), 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : negation(d['c_0011_7']), 'c_0101_9' : negation(d['c_0101_10']), 'c_0101_8' : d['c_0011_4'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : negation(d['c_0011_7']), 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : negation(d['c_0011_7']), 'c_0110_2' : negation(d['c_0011_7']), 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0011_10'], 'c_0110_7' : negation(d['c_0011_3']), 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_6, c_0011_7, c_0101_10, c_1001_0, c_1001_2, c_1001_3, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 22784051580236411669616112984523376556157817/4723069721915426124418\ 7130717647214710704000*c_1100_1^15 + 6513246562006484418921329510748732309041419/45707126341117027010503\ 67488804569165552000*c_1100_1^14 - 67022437424820194200126785830270439734051873/1416920916574627837325\ 61392152941644132112000*c_1100_1^13 - 342734574838491797699273334205191156062476169/141692091657462783732\ 561392152941644132112000*c_1100_1^12 + 2331538065506104403751584037229224734206199/66522108759372198935474\ 8319966862179024000*c_1100_1^11 - 166001793068095216911766603751752\ 7945843999/399132652556233193612848991980117307414400*c_1100_1^10 + 560489755092852983453468618900786780249133559/141692091657462783732\ 561392152941644132112000*c_1100_1^9 + 1475326998291906417806378991450882200901037781/14169209165746278373\ 2561392152941644132112000*c_1100_1^8 - 737548482044740442607832151856856807179686683/283384183314925567465\ 12278430588328826422400*c_1100_1^7 + 563809735708790974289542789827482498415033229/708460458287313918662\ 80696076470822066056000*c_1100_1^6 + 549467981276730322233245279491465261990753153/283384183314925567465\ 12278430588328826422400*c_1100_1^5 - 2204847997207896329145081245445592221436071509/14169209165746278373\ 2561392152941644132112000*c_1100_1^4 + 292455958886852734929893112865645885771465867/472306972191542612441\ 87130717647214710704000*c_1100_1^3 - 3721726517109794793553555937484643080112117/11807674304788565311046\ 782679411803677676000*c_1100_1^2 - 115547107026721162640239878186774891181003911/118076743047885653110\ 46782679411803677676000*c_1100_1 + 899995969380635677695660802947166015028175031/141692091657462783732\ 561392152941644132112000, c_0011_0 - 1, c_0011_10 - 98355528942476181870268526208432/15761799830391207918246626\ 9103791*c_1100_1^15 + 222915034389782777787205502183643/15761799830\ 3912079182466269103791*c_1100_1^14 + 98582763370036415894948210361669/157617998303912079182466269103791*\ c_1100_1^13 - 602524607458273079703316093162857/1576179983039120791\ 82466269103791*c_1100_1^12 + 526167275570135741997541614068804/1576\ 17998303912079182466269103791*c_1100_1^11 - 411990271237238969471978006844949/157617998303912079182466269103791\ *c_1100_1^10 + 49037030368982263166109082948458/1576179983039120791\ 82466269103791*c_1100_1^9 + 2943139941494054689366446845909165/1576\ 17998303912079182466269103791*c_1100_1^8 - 4399524806436460944232516030861876/15761799830391207918246626910379\ 1*c_1100_1^7 - 1417833057696704801188255084169371/15761799830391207\ 9182466269103791*c_1100_1^6 + 5991256965847568553253223686484573/15\ 7617998303912079182466269103791*c_1100_1^5 - 2854759331475112847501193755355425/15761799830391207918246626910379\ 1*c_1100_1^4 + 136347103368201240628782603941614/157617998303912079\ 182466269103791*c_1100_1^3 + 1415595210319413561778239534622189/157\ 617998303912079182466269103791*c_1100_1^2 - 3334388631010588749482897948066879/15761799830391207918246626910379\ 1*c_1100_1 + 1940671977561220273556863135738175/1576179983039120791\ 82466269103791, c_0011_3 - 191235921202801947634936959772028/15761799830391207918246626\ 9103791*c_1100_1^15 + 435180695862251494821890928150052/15761799830\ 3912079182466269103791*c_1100_1^14 + 193362151135908462628669670944158/157617998303912079182466269103791\ *c_1100_1^13 - 1189948491987775425470320909257927/15761799830391207\ 9182466269103791*c_1100_1^12 + 1043615604569067094592870421248061/1\ 57617998303912079182466269103791*c_1100_1^11 - 756669726695259201655236334539886/157617998303912079182466269103791\ *c_1100_1^10 + 24315396782828594399269702076279/1576179983039120791\ 82466269103791*c_1100_1^9 + 5761768181739953884209616916223101/1576\ 17998303912079182466269103791*c_1100_1^8 - 8616840233640997817797955876235957/15761799830391207918246626910379\ 1*c_1100_1^7 - 2871354408198770784114721687661854/15761799830391207\ 9182466269103791*c_1100_1^6 + 12144969095647113183072016155171154/1\ 57617998303912079182466269103791*c_1100_1^5 - 5895729041234339012272551534955986/15761799830391207918246626910379\ 1*c_1100_1^4 - 396321554608132516825902718297934/157617998303912079\ 182466269103791*c_1100_1^3 + 3188037340276447530519565853233065/157\ 617998303912079182466269103791*c_1100_1^2 - 6548341407911599277707571331730530/15761799830391207918246626910379\ 1*c_1100_1 + 3626635739127044746888485289538107/1576179983039120791\ 82466269103791, c_0011_4 + 37726052077166049005399267020905/157617998303912079182466269\ 103791*c_1100_1^15 - 137827922823521501106788450435451/157617998303\ 912079182466269103791*c_1100_1^14 + 23354863492926330151418001553208/157617998303912079182466269103791*\ c_1100_1^13 + 352284525017616785603968219638443/1576179983039120791\ 82466269103791*c_1100_1^12 - 383664990512978083664561389172571/1576\ 17998303912079182466269103791*c_1100_1^11 + 219095641204334080077958319928165/157617998303912079182466269103791\ *c_1100_1^10 - 157248825891202550708278683222491/157617998303912079\ 182466269103791*c_1100_1^9 - 1253004877883910708097726830516619/157\ 617998303912079182466269103791*c_1100_1^8 + 3105197765878285726389708048873884/15761799830391207918246626910379\ 1*c_1100_1^7 - 184615700000784877973211532418429/157617998303912079\ 182466269103791*c_1100_1^6 - 3958896677020985860012157733347629/157\ 617998303912079182466269103791*c_1100_1^5 + 2419785736634381742143840658156487/15761799830391207918246626910379\ 1*c_1100_1^4 + 49268191310042475340942331011184/1576179983039120791\ 82466269103791*c_1100_1^3 - 513586646335496069020675483752331/15761\ 7998303912079182466269103791*c_1100_1^2 + 2121544951776174498023997468582087/15761799830391207918246626910379\ 1*c_1100_1 - 1608850786503714577745139423680685/1576179983039120791\ 82466269103791, c_0011_6 - 74922851999616223546986865932327/157617998303912079182466269\ 103791*c_1100_1^15 + 181792546764539393769632863854280/157617998303\ 912079182466269103791*c_1100_1^14 + 56357188292712286379947949008414/157617998303912079182466269103791*\ c_1100_1^13 - 483261150285285065557802470065878/1576179983039120791\ 82466269103791*c_1100_1^12 + 462333231537257032953542161621080/1576\ 17998303912079182466269103791*c_1100_1^11 - 336384010095977348326321412086556/157617998303912079182466269103791\ *c_1100_1^10 + 41191450114332841534690518676853/1576179983039120791\ 82466269103791*c_1100_1^9 + 2274356808474497629011889841798300/1576\ 17998303912079182466269103791*c_1100_1^8 - 3688175447635671581968934465951675/15761799830391207918246626910379\ 1*c_1100_1^7 - 798661134734080705863205558531587/157617998303912079\ 182466269103791*c_1100_1^6 + 5011105105321348460114944474319473/157\ 617998303912079182466269103791*c_1100_1^5 - 2837137600498117723695763879992055/15761799830391207918246626910379\ 1*c_1100_1^4 - 5669930620896230649343285277928/15761799830391207918\ 2466269103791*c_1100_1^3 + 1396499119045704436561511427962639/15761\ 7998303912079182466269103791*c_1100_1^2 - 2796358935692492970205625850467105/15761799830391207918246626910379\ 1*c_1100_1 + 1633910075382912537550021459712222/1576179983039120791\ 82466269103791, c_0011_7 + 23631740371786398938963490137868/157617998303912079182466269\ 103791*c_1100_1^15 + 858996901881917772593085717464/157617998303912\ 079182466269103791*c_1100_1^14 - 80597177229449171487128029571629/1\ 57617998303912079182466269103791*c_1100_1^13 + 6352714050304808792085342317413/157617998303912079182466269103791*c\ _1100_1^12 + 62879398153812599641583957215269/157617998303912079182\ 466269103791*c_1100_1^11 + 43479342605516146786685065525371/1576179\ 98303912079182466269103791*c_1100_1^10 + 104219238679996637466417028028896/157617998303912079182466269103791\ *c_1100_1^9 - 516859718523761166402893228619938/1576179983039120791\ 82466269103791*c_1100_1^8 - 456696869806100191057430418752259/15761\ 7998303912079182466269103791*c_1100_1^7 + 1001600932420651962472395643220719/15761799830391207918246626910379\ 1*c_1100_1^6 + 425890650862554138936881036488266/157617998303912079\ 182466269103791*c_1100_1^5 - 740966866006929657008412090020738/1576\ 17998303912079182466269103791*c_1100_1^4 - 89697841199757230371349333162269/157617998303912079182466269103791*\ c_1100_1^3 - 330673393463778820430360092858740/15761799830391207918\ 2466269103791*c_1100_1^2 - 159858409541233778033641021861629/157617\ 998303912079182466269103791*c_1100_1 + 555398094803392636584305169633958/157617998303912079182466269103791\ , c_0101_10 + 83864798850206801944831492208079/15761799830391207918246626\ 9103791*c_1100_1^15 - 175446981055297769731555442613570/15761799830\ 3912079182466269103791*c_1100_1^14 - 97960451136108096028020157980734/157617998303912079182466269103791*\ c_1100_1^13 + 476257067538381878431534851127924/1576179983039120791\ 82466269103791*c_1100_1^12 - 404126375761414816853725991458002/1576\ 17998303912079182466269103791*c_1100_1^11 + 334107663417577264966017559317005/157617998303912079182466269103791\ *c_1100_1^10 + 12533097460091330858099501570850/1576179983039120791\ 82466269103791*c_1100_1^9 - 2467099514846942215338700916355407/1576\ 17998303912079182466269103791*c_1100_1^8 + 3323001897472536948113778523105092/15761799830391207918246626910379\ 1*c_1100_1^7 + 1385076862182373577081423742009285/15761799830391207\ 9182466269103791*c_1100_1^6 - 4665639323083263080482630542681747/15\ 7617998303912079182466269103791*c_1100_1^5 + 2171986845564397289137823833661040/15761799830391207918246626910379\ 1*c_1100_1^4 - 25654475092370855609787011444111/1576179983039120791\ 82466269103791*c_1100_1^3 - 1479460694906549949581026292526633/1576\ 17998303912079182466269103791*c_1100_1^2 + 2670281021585217451949639135054591/15761799830391207918246626910379\ 1*c_1100_1 - 1184353866025488949825283400863140/1576179983039120791\ 82466269103791, c_1001_0 + 102884343889029849042854205511923/15761799830391207918246626\ 9103791*c_1100_1^15 - 226911411486280240824059655639079/15761799830\ 3912079182466269103791*c_1100_1^14 - 109314638135717955013829460333344/157617998303912079182466269103791\ *c_1100_1^13 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1866/47*c_1100_1^7 - 4017/47*c_1100_1^6 + 5113/47*c_1100_1^5 - 1621/47*c_1100_1^4 - 876/47*c_1100_1^3 + 2660/47*c_1100_1^2 - 2859/47*c_1100_1 + 1016/47 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.230 Total time: 0.440 seconds, Total memory usage: 32.09MB