Magma V2.19-8 Tue Aug 20 2013 23:46:47 on localhost [Seed = 1764688719] Type ? for help. Type -D to quit. Loading file "K14n26280__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n26280 geometric_solution 10.63060407 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 -1 1 -1 0 0 1 -12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.007226942519 1.527643358028 0 5 6 2 0132 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 -1 1 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 11 -12 0 0 0 0 12 0 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.278438227705 1.158535689579 1 0 8 7 3201 0132 0132 0132 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 12 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.313319292708 0.334962865848 9 10 11 0 0132 0132 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 -1 0 1 0 0 0 0 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.554440588278 0.538145995555 9 8 0 10 3120 0132 0132 3012 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 -1 1 0 0 -1 1 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.639518006062 0.529463523389 6 1 7 8 2310 0132 3201 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 0 0 0 0 0 0 -11 0 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.313319292708 0.334962865848 9 10 5 1 1023 3012 3201 0132 0 0 0 0 0 0 0 0 0 0 -1 1 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 0 11 -11 -12 0 0 12 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.007226942519 1.527643358028 5 11 2 11 2310 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.920047593618 2.031443101195 9 4 5 2 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.825343612903 0.822907867669 3 6 8 4 0132 1023 3201 3120 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 12 0 -11 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.639518006062 0.529463523389 6 3 4 11 1230 0132 1230 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 1 -1 0 0 0 0 0 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.912799075937 1.102477367863 10 7 7 3 3012 0321 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.597895162523 0.490390918374 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_7']), 'c_1001_10' : d['c_1001_0'], 'c_1001_5' : negation(d['c_0101_7']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : negation(d['c_0101_10']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_11'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_6'], 'c_1001_8' : negation(d['c_0101_10']), 'c_1010_11' : d['c_0101_11'], 'c_1010_10' : d['c_0101_11'], 's_3_11' : d['1'], 's_3_10' : 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_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' : d['1'], 's_2_6' : d['1'], 's_2_7' : 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_1100_8' : negation(d['c_0011_7']), 'c_1100_5' : negation(d['c_0011_7']), 'c_1100_4' : negation(d['c_1001_0']), 'c_1100_7' : negation(d['c_0011_7']), 'c_1100_6' : negation(d['c_0011_0']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_1001_0']), 'c_1100_3' : negation(d['c_1001_0']), 'c_1100_2' : negation(d['c_0011_7']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_1001_0']), 'c_1100_10' : d['c_0101_3'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_11'], 'c_1010_6' : negation(d['c_0101_10']), 'c_1010_5' : negation(d['c_0101_10']), 'c_1010_4' : negation(d['c_0101_10']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_7']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_4']), 'c_1010_8' : d['c_1001_2'], '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'], '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_10'], '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_7'], 'c_0110_6' : negation(d['c_0011_4']), '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_3'], 'c_0110_10' : d['c_0011_10'], 'c_0110_0' : negation(d['c_0011_4']), 'c_0011_6' : d['c_0011_10'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : negation(d['c_0011_4']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0101_6']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_4'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0101_6']), 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0011_7, c_0101_0, c_0101_10, c_0101_11, c_0101_3, c_0101_6, c_0101_7, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 7912110742116347911142583/15794766857620044789386*c_1001_2^11 + 15496197944876992536325613/15794766857620044789386*c_1001_2^10 + 1966775245936613812312912/7897383428810022394693*c_1001_2^9 - 14033956469704764317444473/15794766857620044789386*c_1001_2^8 - 6733362981754643342532992/7897383428810022394693*c_1001_2^7 - 13587867297145326581801083/15794766857620044789386*c_1001_2^6 - 12144224223362917815372689/15794766857620044789386*c_1001_2^5 + 12155157564314067725295751/15794766857620044789386*c_1001_2^4 + 14356034350408902495679327/7897383428810022394693*c_1001_2^3 + 9810775110402770846351485/15794766857620044789386*c_1001_2^2 - 177129977246850589299702/464551966400589552629*c_1001_2 - 3155970516883899733515609/15794766857620044789386, c_0011_0 - 1, c_0011_10 - 16358588088690299387/596343987677265151*c_1001_2^11 - 23097767568276909885/596343987677265151*c_1001_2^10 + 1237078742702425701/596343987677265151*c_1001_2^9 + 15069417574749637853/596343987677265151*c_1001_2^8 + 6690886315487208385/596343987677265151*c_1001_2^7 + 24813351405207095401/596343987677265151*c_1001_2^6 + 17086022432292577363/596343987677265151*c_1001_2^5 - 24756350249263978043/596343987677265151*c_1001_2^4 - 26904865195611021617/596343987677265151*c_1001_2^3 + 1891644935592892796/596343987677265151*c_1001_2^2 + 1170906062789002750/596343987677265151*c_1001_2 - 2837989930925144169/596343987677265151, c_0011_4 - 773298524127173421/596343987677265151*c_1001_2^11 - 1836709053640894511/596343987677265151*c_1001_2^10 - 1033488864022114123/596343987677265151*c_1001_2^9 + 591222954128335971/596343987677265151*c_1001_2^8 + 1077252104602034170/596343987677265151*c_1001_2^7 + 1459270869467439319/596343987677265151*c_1001_2^6 + 2101950317334965165/596343987677265151*c_1001_2^5 - 18989418757166753/596343987677265151*c_1001_2^4 - 1995526504259096603/596343987677265151*c_1001_2^3 - 1254264124715046896/596343987677265151*c_1001_2^2 - 194499994441322158/596343987677265151*c_1001_2 - 268260591150500536/596343987677265151, c_0011_7 - 16930511309698785864/596343987677265151*c_1001_2^11 - 23565343273478415669/596343987677265151*c_1001_2^10 + 1481719555851524080/596343987677265151*c_1001_2^9 + 15498918099267510986/596343987677265151*c_1001_2^8 + 7192932394320250657/596343987677265151*c_1001_2^7 + 25502836530693660753/596343987677265151*c_1001_2^6 + 17369533298949681682/596343987677265151*c_1001_2^5 - 25797204563816563886/596343987677265151*c_1001_2^4 - 27306952049383417096/596343987677265151*c_1001_2^3 + 1829485130072743959/596343987677265151*c_1001_2^2 + 1525105155169602837/596343987677265151*c_1001_2 - 2857961909074079446/596343987677265151, c_0101_0 - 154044425145738491/596343987677265151*c_1001_2^11 + 240415096047789871/596343987677265151*c_1001_2^10 + 296739084949281897/596343987677265151*c_1001_2^9 + 141599026853779079/596343987677265151*c_1001_2^8 + 66012124844353476/596343987677265151*c_1001_2^7 + 284552352669004639/596343987677265151*c_1001_2^6 - 732110275743886873/596343987677265151*c_1001_2^5 - 323808125985719263/596343987677265151*c_1001_2^4 - 44753526126427826/596343987677265151*c_1001_2^3 + 527721995533509616/596343987677265151*c_1001_2^2 + 30321846484183702/596343987677265151*c_1001_2 + 536413578540021689/596343987677265151, c_0101_10 - 8527739862747629186/596343987677265151*c_1001_2^11 - 11991902028049644870/596343987677265151*c_1001_2^10 + 1338883859228480032/596343987677265151*c_1001_2^9 + 8193006582062131154/596343987677265151*c_1001_2^8 + 3290792749430378799/596343987677265151*c_1001_2^7 + 12731698584684359050/596343987677265151*c_1001_2^6 + 8387259365550927813/596343987677265151*c_1001_2^5 - 13830842983485182508/596343987677265151*c_1001_2^4 - 13549669161808965244/596343987677265151*c_1001_2^3 + 1921619775362223231/596343987677265151*c_1001_2^2 + 948736523952784690/596343987677265151*c_1001_2 - 1139547952637004280/596343987677265151, c_0101_11 + 9973207920778245611/596343987677265151*c_1001_2^11 + 12947139964386432155/596343987677265151*c_1001_2^10 - 1923388927747082380/596343987677265151*c_1001_2^9 - 9204586711664757413/596343987677265151*c_1001_2^8 - 3526662777583803602/596343987677265151*c_1001_2^7 - 14364862115029234730/596343987677265151*c_1001_2^6 - 8586518209462441310/596343987677265151*c_1001_2^5 + 15831064476446375706/596343987677265151*c_1001_2^4 + 14959757239790915949/596343987677265151*c_1001_2^3 - 2378336272233816362/596343987677265151*c_1001_2^2 - 1039243274711623027/596343987677265151*c_1001_2 + 1593670751194915906/596343987677265151, c_0101_3 + 4533763939057537613/596343987677265151*c_1001_2^11 + 4973168667159135352/596343987677265151*c_1001_2^10 - 747352415490103046/596343987677265151*c_1001_2^9 - 3121910008982885640/596343987677265151*c_1001_2^8 - 1173260981065656104/596343987677265151*c_1001_2^7 - 6859979403701463393/596343987677265151*c_1001_2^6 - 3143879237825649803/596343987677265151*c_1001_2^5 + 6186985995707390693/596343987677265151*c_1001_2^4 + 5411788834947435494/596343987677265151*c_1001_2^3 - 1111659370326042960/596343987677265151*c_1001_2^2 + 437526695062636312/596343987677265151*c_1001_2 + 707143637296520788/596343987677265151, c_0101_6 + 2160952931754009276/596343987677265151*c_1001_2^11 + 2421636773229243427/596343987677265151*c_1001_2^10 - 899597126044332924/596343987677265151*c_1001_2^9 - 1377507898398144331/596343987677265151*c_1001_2^8 + 205873276534156345/596343987677265151*c_1001_2^7 - 3482992651220143755/596343987677265151*c_1001_2^6 - 1574780352323058014/596343987677265151*c_1001_2^5 + 3843966958003311479/596343987677265151*c_1001_2^4 + 1961420726579960360/596343987677265151*c_1001_2^3 - 1381485002635987109/596343987677265151*c_1001_2^2 + 960199285541601344/596343987677265151*c_1001_2 + 521173826128130315/596343987677265151, c_0101_7 - 24728371209179806402/596343987677265151*c_1001_2^11 - 33444721152591026265/596343987677265151*c_1001_2^10 + 3973201398612304170/596343987677265151*c_1001_2^9 + 23206308080770559849/596343987677265151*c_1001_2^8 + 9507923280439993895/596343987677265151*c_1001_2^7 + 35788160774813745034/596343987677265151*c_1001_2^6 + 23418103313163601345/596343987677265151*c_1001_2^5 - 39458875508474998672/596343987677265151*c_1001_2^4 - 39068945997357361541/596343987677265151*c_1001_2^3 + 5168640863293436194/596343987677265151*c_1001_2^2 + 3357052913338229452/596343987677265151*c_1001_2 - 4382647009834014610/596343987677265151, c_1001_0 + 571923221008486477/596343987677265151*c_1001_2^11 + 467575705201505784/596343987677265151*c_1001_2^10 - 244640813149098379/596343987677265151*c_1001_2^9 - 429500524517873133/596343987677265151*c_1001_2^8 - 502046078833042272/596343987677265151*c_1001_2^7 - 689485125486565352/596343987677265151*c_1001_2^6 - 283510866657104319/596343987677265151*c_1001_2^5 + 1040854314552585843/596343987677265151*c_1001_2^4 + 402086853772395479/596343987677265151*c_1001_2^3 + 62159805520148837/596343987677265151*c_1001_2^2 - 354199092380600087/596343987677265151*c_1001_2 + 19971978148935277/596343987677265151, c_1001_2^12 + 2*c_1001_2^11 + 10/13*c_1001_2^10 - c_1001_2^9 - 168/169*c_1001_2^8 - 294/169*c_1001_2^7 - 324/169*c_1001_2^6 + 151/169*c_1001_2^5 + 438/169*c_1001_2^4 + 146/169*c_1001_2^3 - 34/169*c_1001_2^2 + 17/169*c_1001_2 + 19/169 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2.770 Total time: 2.980 seconds, Total memory usage: 32.09MB