Magma V2.19-8 Tue Aug 20 2013 16:17:11 on localhost [Seed = 1014866156] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1426 geometric_solution 5.25925026 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.444612810753 0.207484971061 0 2 2 0 3201 0132 1023 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 -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 1.129131305250 0.246431661624 3 1 1 4 0132 0132 1023 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 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 0.853465534375 0.422087382650 2 5 4 6 0132 0132 3201 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.319298333477 0.747368163677 3 6 2 5 2310 1023 0132 1023 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 -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 0.319298333477 0.747368163677 5 3 5 4 2031 0132 1302 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.551958900537 0.551362909445 4 6 3 6 1023 2310 0132 3201 0 0 0 0 0 1 0 -1 1 0 0 -1 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 1 0 -1 1 0 0 -1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.483411370720 1.131500639236 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : negation(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' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : 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_6' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0011_1'], 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0011_1'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0110_5'], 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0110_5'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : d['c_0110_5'], 'c_1010_6' : negation(d['c_0110_5']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : d['c_0110_5'], 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_2, c_0101_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t + 614293040609157301808902115033212879/876042221482327370789126071643\ 7429*c_0110_5^24 - 7311412954551712190852211808404314866/2920140738\ 274424569297086905479143*c_0110_5^22 - 70949433469392363005800230125822975249/9733802460914748564323623018\ 26381*c_0110_5^20 - 713295792336641330726339919694513333279/8760422\ 214823273707891260716437429*c_0110_5^18 + 4402819227361801349040388310726751541750/97338024609147485643236230\ 1826381*c_0110_5^16 - 87866501817699713483449035414580826325998/876\ 0422214823273707891260716437429*c_0110_5^14 + 103821492340224876201129485555359589639731/876042221482327370789126\ 0716437429*c_0110_5^12 - 101394312506764449734210474440485115887661\ /8760422214823273707891260716437429*c_0110_5^10 + 70472851717977526717912626684844819265111/8760422214823273707891260\ 716437429*c_0110_5^8 - 9672817931613892535009205134967732926864/292\ 0140738274424569297086905479143*c_0110_5^6 + 226453634640683097948061693905663436464/324460082030491618810787433\ 942127*c_0110_5^4 - 585616441209245227564451571926367592222/8760422\ 214823273707891260716437429*c_0110_5^2 + 6655453506577091291110327605747137066/29201407382744245692970869054\ 79143, c_0011_0 - 1, c_0011_1 - 46918581730858510196143210896/184038617147187531940321857029\ *c_0110_5^24 + 1682848666254052181079945386415/18403861714718753194\ 0321857029*c_0110_5^22 + 48502105696803697197171699710633/184038617\ 147187531940321857029*c_0110_5^20 + 46600335945057490051222804033168/184038617147187531940321857029*c_0\ 110_5^18 - 3036167635698800591612286728517870/184038617147187531940\ 321857029*c_0110_5^16 + 7197136453897181556716417067427833/18403861\ 7147187531940321857029*c_0110_5^14 - 8955133863551968331600068240478859/184038617147187531940321857029*c\ _0110_5^12 + 8903921277956470631196825449630715/1840386171471875319\ 40321857029*c_0110_5^10 - 6496883213206574890761446625176218/184038\ 617147187531940321857029*c_0110_5^8 + 2955622987356588477937754176506174/184038617147187531940321857029*c\ _0110_5^6 - 738803459834355143560473659195640/184038617147187531940\ 321857029*c_0110_5^4 + 88581035676422465873055574844176/18403861714\ 7187531940321857029*c_0110_5^2 - 3644043159302545522398094069849/18\ 4038617147187531940321857029, c_0011_4 + 371170021402204982505340556624149/97338024609147485643236230\ 1826381*c_0110_5^25 - 4429550505264988357788640545135077/3244600820\ 30491618810787433942127*c_0110_5^23 - 128188543857345290349077058489147964/324460082030491618810787433942\ 127*c_0110_5^21 - 393795182706380092046101156916990104/973380246091\ 474856432362301826381*c_0110_5^19 + 7997692800414229633919315638212589052/32446008203049161881078743394\ 2127*c_0110_5^17 - 55366980870916981285253701528977586193/973380246\ 091474856432362301826381*c_0110_5^15 + 67235556469596692458413032372252553403/9733802460914748564323623018\ 26381*c_0110_5^13 - 66125755974374734249559741030904878599/97338024\ 6091474856432362301826381*c_0110_5^11 + 47205496558882696841672324148702499736/9733802460914748564323623018\ 26381*c_0110_5^9 - 6808974063315077453836116014989452079/3244600820\ 30491618810787433942127*c_0110_5^7 + 1542351905508830006170089276552243780/32446008203049161881078743394\ 2127*c_0110_5^5 - 461546223787778515245520447844680873/973380246091\ 474856432362301826381*c_0110_5^3 + 4570956395985531514344608743982342/32446008203049161881078743394212\ 7*c_0110_5, c_0101_0 - 3868757410846986574948102552259111/2920140738274424569297086\ 905479143*c_0110_5^25 + 46188704366563877541939744438697204/9733802\ 46091474856432362301826381*c_0110_5^23 + 1335441371754695832144673526262337502/97338024609147485643236230182\ 6381*c_0110_5^21 + 4046980236619157541588564665462962880/2920140738\ 274424569297086905479143*c_0110_5^19 - 27790153568200919700091591905876438698/3244600820304916188107874339\ 42127*c_0110_5^17 + 580807144042870013291611958146545888688/2920140\ 738274424569297086905479143*c_0110_5^15 - 711186281337940463204074708893472937708/292014073827442456929708690\ 5479143*c_0110_5^13 + 702989376871604472783874125133990375415/29201\ 40738274424569297086905479143*c_0110_5^11 - 505619305779891923497072340794539294385/292014073827442456929708690\ 5479143*c_0110_5^9 + 74478045868064646820975846123854710609/9733802\ 46091474856432362301826381*c_0110_5^7 - 17743657679977733570021959256349123146/9733802460914748564323623018\ 26381*c_0110_5^5 + 5974168604599093626292188154823080781/2920140738\ 274424569297086905479143*c_0110_5^3 - 77824238657723591273626374749947046/9733802460914748564323623018263\ 81*c_0110_5, c_0101_2 + 186417089630096786475833886360608/97338024609147485643236230\ 1826381*c_0110_5^25 - 2216135287829129448718306066111660/3244600820\ 30491618810787433942127*c_0110_5^23 - 64685531624487294106079619901217659/3244600820304916188107874339421\ 27*c_0110_5^21 - 224730570899064057580457732291032184/9733802460914\ 74856432362301826381*c_0110_5^19 + 4004609277446720598592904959837568542/32446008203049161881078743394\ 2127*c_0110_5^17 - 26158009466730967140638231399965533943/973380246\ 091474856432362301826381*c_0110_5^15 + 30498282112059507237809458487612245844/9733802460914748564323623018\ 26381*c_0110_5^13 - 29683081195986499882152704060325947261/97338024\ 6091474856432362301826381*c_0110_5^11 + 20358346614949972545757727358903628948/9733802460914748564323623018\ 26381*c_0110_5^9 - 2721894766022917930019846245727096553/3244600820\ 30491618810787433942127*c_0110_5^7 + 551516761024341135057545765647033740/324460082030491618810787433942\ 127*c_0110_5^5 - 161598913630867607271146212132344701/9733802460914\ 74856432362301826381*c_0110_5^3 + 305182227843742212739745609461406\ 0/324460082030491618810787433942127*c_0110_5, c_0101_3 - 61461327465105736233181410436/184038617147187531940321857029\ *c_0110_5^24 + 2203004213115824875310880461521/18403861714718753194\ 0321857029*c_0110_5^22 + 63587574887183594606137552651064/184038617\ 147187531940321857029*c_0110_5^20 + 62559447884899357745875524294967/184038617147187531940321857029*c_0\ 110_5^18 - 3975492635136776197362633192269974/184038617147187531940\ 321857029*c_0110_5^16 + 9334149112292963927306035269589837/18403861\ 7147187531940321857029*c_0110_5^14 - 11526800687262834951101728410303639/184038617147187531940321857029*\ c_0110_5^12 + 11426355410462799560468477769470860/18403861714718753\ 1940321857029*c_0110_5^10 - 8279774920130970496884724181772934/1840\ 38617147187531940321857029*c_0110_5^8 + 3714301388899886232092300229741232/184038617147187531940321857029*c\ _0110_5^6 - 905477795558057511370335541757230/184038617147187531940\ 321857029*c_0110_5^4 + 104165502882509282499081043734245/1840386171\ 47187531940321857029*c_0110_5^2 - 4122576025628410702631347921792/1\ 84038617147187531940321857029, c_0110_5^26 - 36*c_0110_5^24 - 1029*c_0110_5^22 - 856*c_0110_5^20 + 64848*c_0110_5^18 - 161969*c_0110_5^16 + 210901*c_0110_5^14 - 214468*c_0110_5^12 + 162944*c_0110_5^10 - 80694*c_0110_5^8 + 23673*c_0110_5^6 - 3820*c_0110_5^4 + 303*c_0110_5^2 - 9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB