Magma V2.19-8 Tue Aug 20 2013 16:17:58 on localhost [Seed = 3549581077] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2196 geometric_solution 5.65214954 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 3201 2310 3201 0 0 0 0 0 -1 1 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 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 -0.834707799337 0.346692246150 0 0 3 2 0132 2310 0132 0132 0 0 0 0 0 -1 1 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 -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 0.863889443453 0.867233641014 4 5 1 4 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.184845478483 0.520168836401 5 4 5 1 3201 2310 3120 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.718181379496 0.424507211905 2 2 6 3 0132 0321 0132 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 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 0.599405217003 0.991781370405 6 2 3 3 2103 0132 3120 2310 0 0 0 0 0 0 0 0 0 0 0 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 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 0.517054088858 0.504627539753 6 6 5 4 1302 2031 2103 0132 0 0 0 0 0 -1 1 0 0 0 0 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 0 0 0 -1 0 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 0.125866822006 0.743982292090 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], '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_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_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_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_6'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_0011_6'], 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0011_2'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_1001_3']), 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : negation(d['c_0011_2']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_2'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : d['c_0011_2'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_1001_3']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_1001_3']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : 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_2, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 50509484910933227533703234/70698825668991175341975*c_1001_3^14 - 2469479781014069826687466/4713255044599411689465*c_1001_3^13 + 1881127190478147184650154823/70698825668991175341975*c_1001_3^12 + 829654485409843892634139177/14139765133798235068395*c_1001_3^11 - 7057573486659484079514322672/14139765133798235068395*c_1001_3^10 - 14083693906923158266846122034/23566275222997058447325*c_1001_3^9 + 256429260598570127454240409339/70698825668991175341975*c_1001_3^8 - 5378122050424765845899458681/14139765133798235068395*c_1001_3^7 - 177232962618810887105004965828/70698825668991175341975*c_1001_3^6 - 5293665963499011389774933684/14139765133798235068395*c_1001_3^5 + 10277185201323981158357945129/14139765133798235068395*c_1001_3^4 + 351682378966656453256257757/2827953026759647013679*c_1001_3^3 - 1118808483809589110248090238/14139765133798235068395*c_1001_3^2 - 817760265714091882371977566/70698825668991175341975*c_1001_3 + 279577970312706027600623549/70698825668991175341975, c_0011_0 - 1, c_0011_2 + 4455521442391871011436/942651008919882337893*c_1001_3^14 + 1921070358588465997793/314217002973294112631*c_1001_3^13 - 163184734643615771592425/942651008919882337893*c_1001_3^12 - 457814304841639779518993/942651008919882337893*c_1001_3^11 + 2873924277147610819407512/942651008919882337893*c_1001_3^10 + 1793618156250204476355804/314217002973294112631*c_1001_3^9 - 19925198286677062155928177/942651008919882337893*c_1001_3^8 - 9275966605682025676091383/942651008919882337893*c_1001_3^7 + 12702560542509507507938108/942651008919882337893*c_1001_3^6 + 9826892022150609949967329/942651008919882337893*c_1001_3^5 - 506696179559008761549238/942651008919882337893*c_1001_3^4 - 1735678500023306695577581/942651008919882337893*c_1001_3^3 - 230200318072964176332128/942651008919882337893*c_1001_3^2 + 83592259648960366269274/942651008919882337893*c_1001_3 + 15300166576729848423352/942651008919882337893, c_0011_3 - 2778890360315925950249/942651008919882337893*c_1001_3^14 - 1147643468819846716444/314217002973294112631*c_1001_3^13 + 101918056345158067377323/942651008919882337893*c_1001_3^12 + 279926996580054557991332/942651008919882337893*c_1001_3^11 - 1805977234204689656610623/942651008919882337893*c_1001_3^10 - 1084340248103712445967409/314217002973294112631*c_1001_3^9 + 12573216893884876903915810/942651008919882337893*c_1001_3^8 + 5049168819606562625572210/942651008919882337893*c_1001_3^7 - 7976030325085744592095682/942651008919882337893*c_1001_3^6 - 5643361459790385848095390/942651008919882337893*c_1001_3^5 + 481947088295844289551160/942651008919882337893*c_1001_3^4 + 984451206807092103130723/942651008919882337893*c_1001_3^3 + 108674850559077898013471/942651008919882337893*c_1001_3^2 - 47024499654029812877563/942651008919882337893*c_1001_3 - 7742544229911421194952/942651008919882337893, c_0011_6 + 3537039303957667884676/942651008919882337893*c_1001_3^14 + 1549686029273116666415/314217002973294112631*c_1001_3^13 - 129439017627574600314466/942651008919882337893*c_1001_3^12 - 366144196239846904727290/942651008919882337893*c_1001_3^11 + 2273498312027210969747305/942651008919882337893*c_1001_3^10 + 1439563043691535501922298/314217002973294112631*c_1001_3^9 - 15720842731756930118728082/942651008919882337893*c_1001_3^8 - 7690802339632541599183115/942651008919882337893*c_1001_3^7 + 9875806036984300723554139/942651008919882337893*c_1001_3^6 + 8056868902963791131501123/942651008919882337893*c_1001_3^5 - 238498532002415566176563/942651008919882337893*c_1001_3^4 - 1396402193982821180638685/942651008919882337893*c_1001_3^3 - 209747285420992183616734/942651008919882337893*c_1001_3^2 + 67726100580470132559200/942651008919882337893*c_1001_3 + 12975178386587456167640/942651008919882337893, c_0101_0 + 2239554365451669235042/942651008919882337893*c_1001_3^14 + 1005353782328223504762/314217002973294112631*c_1001_3^13 - 81906421644270659751157/942651008919882337893*c_1001_3^12 - 234536172069755217583345/942651008919882337893*c_1001_3^11 + 1433648370208898202844345/942651008919882337893*c_1001_3^10 + 928484188066760604927731/314217002973294112631*c_1001_3^9 - 9894470625956229605606690/942651008919882337893*c_1001_3^8 - 5242571532069054452983517/942651008919882337893*c_1001_3^7 + 6296302605636908658709411/942651008919882337893*c_1001_3^6 + 5376769163067161293068254/942651008919882337893*c_1001_3^5 - 105688076966463368287370/942651008919882337893*c_1001_3^4 - 967966492617282764212595/942651008919882337893*c_1001_3^3 - 156955580771365745259139/942651008919882337893*c_1001_3^2 + 47871428823772940283602/942651008919882337893*c_1001_3 + 10228012057683398860403/942651008919882337893, c_0101_1 + 2626157904125506976305/942651008919882337893*c_1001_3^14 + 1197827415412352307095/314217002973294112631*c_1001_3^13 - 95967019787084361611767/942651008919882337893*c_1001_3^12 - 277090826614850070482854/942651008919882337893*c_1001_3^11 + 1675118701113664169449312/942651008919882337893*c_1001_3^10 + 1100736106497502077986673/314217002973294112631*c_1001_3^9 - 11531162946417722824355957/942651008919882337893*c_1001_3^8 - 6392114341844528900255696/942651008919882337893*c_1001_3^7 + 7248067266633523088813485/942651008919882337893*c_1001_3^6 + 6434157435580996705524980/942651008919882337893*c_1001_3^5 + 7038426498288252636631/942651008919882337893*c_1001_3^4 - 1119563159632777845195734/942651008919882337893*c_1001_3^3 - 197440395737274971278060/942651008919882337893*c_1001_3^2 + 53438409977509647785834/942651008919882337893*c_1001_3 + 11900472699939792315815/942651008919882337893, c_1001_3^15 + c_1001_3^14 - 37*c_1001_3^13 - 92*c_1001_3^12 + 675*c_1001_3^11 + 1018*c_1001_3^10 - 4823*c_1001_3^9 - 766*c_1001_3^8 + 3437*c_1001_3^7 + 1377*c_1001_3^6 - 750*c_1001_3^5 - 355*c_1001_3^4 + 60*c_1001_3^3 + 34*c_1001_3^2 - 2*c_1001_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB