Magma V2.19-8 Wed Aug 21 2013 00:56:53 on localhost [Seed = 1629977529] Type ? for help. Type -D to quit. Loading file "L13n3068__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3068 geometric_solution 11.23289685 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 -1 0 1 0 0 0 0 0 2 -3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.083341228010 0.569275979301 0 5 7 6 0132 0132 0132 0132 1 1 0 1 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 -4 4 0 1 0 -1 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 0.658391705900 0.669961386248 3 0 9 8 1230 0132 0132 0132 1 0 0 1 0 0 0 0 0 0 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 0 0 0 0 0 -3 3 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.379474953266 2.051052151234 10 2 5 0 0132 3012 2103 0132 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 1 -1 1 0 0 -1 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.332946836167 0.566613045690 7 7 0 9 0321 0213 0132 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 -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 0.151915072069 0.665530663082 3 1 11 12 2103 0132 0132 0132 1 1 1 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 4 -4 0 -1 0 1 0 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.192322326109 0.637745450087 9 8 1 7 0321 2103 0132 0321 1 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 0 0 0 0 0 0 0 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.618703625547 0.381267142621 4 6 4 1 0321 0321 0213 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 1 -4 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 0.674008463966 1.428149032094 11 6 2 12 1302 2103 0132 3201 1 0 1 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 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.229118315666 1.311895989329 6 4 12 2 0321 0321 3201 0132 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 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 -0.326521750969 0.430641987789 3 11 12 11 0132 1023 0132 0132 1 1 0 0 0 0 0 0 0 0 0 0 2 -1 0 -1 -1 1 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 3 -2 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.433444293334 1.437311681553 10 8 10 5 1023 2031 0132 0132 1 1 0 0 0 1 0 -1 0 0 0 0 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -3 -1 4 1 0 0 -1 2 0 0 -2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.433444293334 1.437311681553 9 8 5 10 2310 2310 0132 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.192322326109 0.637745450087 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_7']), 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : d['c_0101_11'], 'c_1001_12' : d['c_1001_1'], 'c_1001_5' : d['c_0011_8'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_2'], 'c_1001_6' : d['c_0011_8'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_12']), 'c_1001_8' : d['c_0011_6'], 'c_1010_12' : d['c_0101_11'], 'c_1010_11' : d['c_0011_8'], 'c_1010_10' : d['c_0101_11'], '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'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_0'], '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_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' : 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_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_10'], 'c_1100_4' : negation(d['c_0101_12']), 'c_1100_7' : d['c_1001_2'], 'c_1100_6' : d['c_1001_2'], 'c_1100_1' : d['c_1001_2'], 'c_1100_0' : negation(d['c_0101_12']), 'c_1100_3' : negation(d['c_0101_12']), 'c_1100_2' : negation(d['c_0011_12']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_10'], 'c_1100_10' : d['c_1100_10'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_2'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0011_8'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : negation(d['c_1001_1']), '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'], 'c_1100_12' : d['c_1100_10'], '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_7'], 'c_0011_8' : d['c_0011_8'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_11'], 'c_0110_10' : d['c_0101_11'], 'c_0110_12' : d['c_0101_0'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : negation(d['c_0011_4']), 'c_0101_7' : d['c_0011_4'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : negation(d['c_0011_6']), 'c_0101_1' : negation(d['c_0011_4']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_0']), 'c_0101_8' : negation(d['c_0011_10']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_6']), 'c_0110_8' : negation(d['c_0101_11']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_12']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : negation(d['c_0011_7']), 'c_0110_7' : negation(d['c_0011_4']), 'c_1100_8' : negation(d['c_0011_12'])})} 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_4, c_0011_6, c_0011_7, c_0011_8, c_0101_0, c_0101_11, c_0101_12, c_1001_1, c_1001_2, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 15299559387192773043/1363125532117117424*c_1100_10^13 - 443744301314904859465/1363125532117117424*c_1100_10^12 + 205932522848443179819/340781383029279356*c_1100_10^11 + 408875860415193169333/1363125532117117424*c_1100_10^10 - 1651900151878847230601/1363125532117117424*c_1100_10^9 - 3914608851045581007/20345157195777872*c_1100_10^8 + 421175311188051466063/681562766058558712*c_1100_10^7 + 1744010877977650901967/1363125532117117424*c_1100_10^6 + 2786715282983159451691/1363125532117117424*c_1100_10^5 + 213915504003381772673/170390691514639678*c_1100_10^4 + 93211157610561117323/170390691514639678*c_1100_10^3 + 156664837515085773397/340781383029279356*c_1100_10^2 + 9944206816988907509/20045963707604668*c_1100_10 + 31377073794123791933/170390691514639678, c_0011_0 - 1, c_0011_10 - 1266518959151228501/8840269995053658588*c_1100_10^13 + 440258097583986784/105241309464924507*c_1100_10^12 - 25185000854356131193/2946756665017886196*c_1100_10^11 - 15460553026934545097/8840269995053658588*c_1100_10^10 + 11281930296792957034/736689166254471549*c_1100_10^9 - 20914111855211942/10995360690365247*c_1100_10^8 - 42093470938430460959/8840269995053658588*c_1100_10^7 - 134183086097750194301/8840269995053658588*c_1100_10^6 - 110414000891052025693/4420134997526829294*c_1100_10^5 - 104228214373072695415/8840269995053658588*c_1100_10^4 - 36542838619492506913/4420134997526829294*c_1100_10^3 - 1366404539373032807/210482618929849014*c_1100_10^2 - 11511749891130074819/2210067498763414647*c_1100_10 - 4633156342014431641/2210067498763414647, c_0011_12 + 1, c_0011_4 + 1, c_0011_6 - 7033337841878287/210482618929849014*c_1100_10^13 + 4769938041651130/5011490926901167*c_1100_10^12 - 89169355908561937/70160872976616338*c_1100_10^11 - 538378293199902217/210482618929849014*c_1100_10^10 + 178840924940344488/35080436488308169*c_1100_10^9 + 718765666440576/523588604303107*c_1100_10^8 - 657132816084107359/210482618929849014*c_1100_10^7 - 784481995590190759/210482618929849014*c_1100_10^6 - 895386020296919276/105241309464924507*c_1100_10^5 - 670278615015766541/210482618929849014*c_1100_10^4 - 136460832103896038/105241309464924507*c_1100_10^3 - 10981313780784864/5011490926901167*c_1100_10^2 - 209788301484988754/105241309464924507*c_1100_10 - 160302609776722132/105241309464924507, c_0011_7 + 165593476790596/5011490926901167*c_1100_10^13 - 9400084338408679/10022981853802334*c_1100_10^12 + 11504026580224213/10022981853802334*c_1100_10^11 + 30803432031554175/10022981853802334*c_1100_10^10 - 29493350940894232/5011490926901167*c_1100_10^9 - 219124703618129/149596744086602*c_1100_10^8 + 22377996657980897/5011490926901167*c_1100_10^7 + 33796398440982555/10022981853802334*c_1100_10^6 + 34705696056242317/5011490926901167*c_1100_10^5 + 40048319727921889/10022981853802334*c_1100_10^4 + 7276891247577163/10022981853802334*c_1100_10^3 + 23326223669706497/10022981853802334*c_1100_10^2 + 8454765604543435/5011490926901167*c_1100_10 + 7245402447351857/5011490926901167, c_0011_8 + 19609007177356801/210482618929849014*c_1100_10^13 - 13549147677965931/5011490926901167*c_1100_10^12 + 354861501723472097/70160872976616338*c_1100_10^11 + 263654516963577248/105241309464924507*c_1100_10^10 - 719601050182001669/70160872976616338*c_1100_10^9 - 799837167456946/523588604303107*c_1100_10^8 + 574954825584559349/105241309464924507*c_1100_10^7 + 1097246433329068724/105241309464924507*c_1100_10^6 + 3565548856948249219/210482618929849014*c_1100_10^5 + 2154955263927845369/210482618929849014*c_1100_10^4 + 636855972277206847/210482618929849014*c_1100_10^3 + 26348983987076339/10022981853802334*c_1100_10^2 + 304326325909963607/105241309464924507*c_1100_10 + 146417119814297692/105241309464924507, c_0101_0 + 19609007177356801/210482618929849014*c_1100_10^13 - 13549147677965931/5011490926901167*c_1100_10^12 + 354861501723472097/70160872976616338*c_1100_10^11 + 263654516963577248/105241309464924507*c_1100_10^10 - 719601050182001669/70160872976616338*c_1100_10^9 - 799837167456946/523588604303107*c_1100_10^8 + 574954825584559349/105241309464924507*c_1100_10^7 + 1097246433329068724/105241309464924507*c_1100_10^6 + 3565548856948249219/210482618929849014*c_1100_10^5 + 2154955263927845369/210482618929849014*c_1100_10^4 + 636855972277206847/210482618929849014*c_1100_10^3 + 26348983987076339/10022981853802334*c_1100_10^2 + 304326325909963607/105241309464924507*c_1100_10 + 146417119814297692/105241309464924507, c_0101_11 - 18225235815851591/420965237859698028*c_1100_10^13 + 26520633514080615/20045963707604668*c_1100_10^12 - 151581420634546114/35080436488308169*c_1100_10^11 + 1504695104233089427/420965237859698028*c_1100_10^10 + 587195508467623999/140321745953232676*c_1100_10^9 - 14890771786128191/2094354417212428*c_1100_10^8 + 110779958339313187/105241309464924507*c_1100_10^7 - 858347139010621247/420965237859698028*c_1100_10^6 - 934008159855282671/420965237859698028*c_1100_10^5 + 411630394362743477/105241309464924507*c_1100_10^4 - 58252357422013610/105241309464924507*c_1100_10^3 - 12426862660209983/10022981853802334*c_1100_10^2 - 55653332147868635/105241309464924507*c_1100_10 + 68817164211650138/105241309464924507, c_0101_12 - 349574731330798/5011490926901167*c_1100_10^13 + 20287661953104665/10022981853802334*c_1100_10^12 - 37936804969082709/10022981853802334*c_1100_10^11 - 17851333390216879/10022981853802334*c_1100_10^10 + 38392070478657967/5011490926901167*c_1100_10^9 + 74470200441353/149596744086602*c_1100_10^8 - 16280801332042528/5011490926901167*c_1100_10^7 - 72763575368697261/10022981853802334*c_1100_10^6 - 70595776019007170/5011490926901167*c_1100_10^5 - 70881891465329091/10022981853802334*c_1100_10^4 - 38063746326207329/10022981853802334*c_1100_10^3 - 35472841430864685/10022981853802334*c_1100_10^2 - 14252274724300963/5011490926901167*c_1100_10 - 5858840891593501/5011490926901167, c_1001_1 + 349574731330798/5011490926901167*c_1100_10^13 - 20287661953104665/10022981853802334*c_1100_10^12 + 37936804969082709/10022981853802334*c_1100_10^11 + 17851333390216879/10022981853802334*c_1100_10^10 - 38392070478657967/5011490926901167*c_1100_10^9 - 74470200441353/149596744086602*c_1100_10^8 + 16280801332042528/5011490926901167*c_1100_10^7 + 72763575368697261/10022981853802334*c_1100_10^6 + 70595776019007170/5011490926901167*c_1100_10^5 + 70881891465329091/10022981853802334*c_1100_10^4 + 38063746326207329/10022981853802334*c_1100_10^3 + 35472841430864685/10022981853802334*c_1100_10^2 + 14252274724300963/5011490926901167*c_1100_10 + 5858840891593501/5011490926901167, c_1001_2 - 2148982702828933/20045963707604668*c_1100_10^13 + 31163004563845249/10022981853802334*c_1100_10^12 - 115508907060658925/20045963707604668*c_1100_10^11 - 61049767545821127/20045963707604668*c_1100_10^10 + 59662062915517099/5011490926901167*c_1100_10^9 + 292635647396845/149596744086602*c_1100_10^8 - 133411506022870235/20045963707604668*c_1100_10^7 - 232378250950789747/20045963707604668*c_1100_10^6 - 201309245979529145/10022981853802334*c_1100_10^5 - 231430748717097533/20045963707604668*c_1100_10^4 - 16760984284831768/5011490926901167*c_1100_10^3 - 18565800004852991/5011490926901167*c_1100_10^2 - 19584414825447088/5011490926901167*c_1100_10 - 8050760130799124/5011490926901167, c_1100_10^14 - 29*c_1100_10^13 + 54*c_1100_10^12 + 19*c_1100_10^11 - 89*c_1100_10^10 - 21*c_1100_10^9 + 28*c_1100_10^8 + 125*c_1100_10^7 + 191*c_1100_10^6 + 138*c_1100_10^5 + 84*c_1100_10^4 + 52*c_1100_10^3 + 52*c_1100_10^2 + 24*c_1100_10 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.120 Total time: 0.320 seconds, Total memory usage: 32.09MB