Magma V2.19-8 Tue Aug 20 2013 16:17:29 on localhost [Seed = 2783197566] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1713 geometric_solution 5.42378998 oriented_manifold CS_known -0.0000000000000002 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 1.438234729685 0.286645590730 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 1.040552787307 0.293697029931 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 0.754612821449 0.290262410412 2 4 6 5 0132 0321 0132 0132 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 1 0 -1 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 0.901380597042 0.762475166902 6 5 2 3 0132 1023 0132 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 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 0.901380597042 0.762475166902 4 5 3 5 1023 2310 0132 3201 0 0 0 0 0 0 1 -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 1 -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 0.856925479792 0.792119119115 4 6 6 3 0132 1230 3012 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.378289905904 0.525262645181 ==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' : 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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : 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' : negation(d['c_0011_1']), 'c_0101_5' : d['c_0101_2'], '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' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(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_0011_4'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_1']), '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_0011_1']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0011_1']), 'c_1010_5' : negation(d['c_0110_5']), '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: 18 Groebner basis: [ t + 170170289432007052061423/321613932155109680366109*c_0110_5^17 - 928512002514778751614190/321613932155109680366109*c_0110_5^16 - 682081164558122998913564/321613932155109680366109*c_0110_5^15 + 3115003580712360181721363/321613932155109680366109*c_0110_5^14 + 755838931640788543931885/321613932155109680366109*c_0110_5^13 + 5932673000570920713481714/107204644051703226788703*c_0110_5^12 + 645799327067425190403757/7844242247685601960149*c_0110_5^11 - 50865122565137586410470493/321613932155109680366109*c_0110_5^10 - 95354928866438264904778250/321613932155109680366109*c_0110_5^9 - 2565538649741197305966473/35734881350567742262901*c_0110_5^8 + 47498988327623772417423893/321613932155109680366109*c_0110_5^7 + 36997129472001655084870366/321613932155109680366109*c_0110_5^6 + 25794010501984724131379645/321613932155109680366109*c_0110_5^5 + 27236460773091295097683463/321613932155109680366109*c_0110_5^4 + 21753669760494110899330979/321613932155109680366109*c_0110_5^3 + 9591513664094251495980313/321613932155109680366109*c_0110_5^2 + 1587922970736033453969920/321613932155109680366109*c_0110_5 - 364012677671146530432082/321613932155109680366109, c_0011_0 - 1, c_0011_1 + 4331675137455931508/30054567998795409809*c_0110_5^17 - 40744916482858419946/30054567998795409809*c_0110_5^16 + 106679616523117296544/30054567998795409809*c_0110_5^15 - 70541748355225961819/30054567998795409809*c_0110_5^14 - 53834740258059702028/30054567998795409809*c_0110_5^13 + 539016205943225355269/30054567998795409809*c_0110_5^12 - 1252292302442901760030/30054567998795409809*c_0110_5^11 - 511480309048132714996/30054567998795409809*c_0110_5^10 + 1734717652479840419750/30054567998795409809*c_0110_5^9 + 1439507405520979851595/30054567998795409809*c_0110_5^8 - 1027528610379561370512/30054567998795409809*c_0110_5^7 - 527673965608178425954/30054567998795409809*c_0110_5^6 - 162935483352711370631/30054567998795409809*c_0110_5^5 - 224062955439083985155/30054567998795409809*c_0110_5^4 - 256303312167486977186/30054567998795409809*c_0110_5^3 - 23383841066645583878/30054567998795409809*c_0110_5^2 + 13326282409305911392/30054567998795409809*c_0110_5 + 35019296449504542793/30054567998795409809, c_0011_4 - 7043968004401171133/30054567998795409809*c_0110_5^17 + 47885439435591247871/30054567998795409809*c_0110_5^16 - 37237593213501716048/30054567998795409809*c_0110_5^15 - 67482029463637915767/30054567998795409809*c_0110_5^14 + 30168998934908787182/30054567998795409809*c_0110_5^13 - 764386683281181098313/30054567998795409809*c_0110_5^12 - 47049658943142138243/30054567998795409809*c_0110_5^11 + 2019245173279421499475/30054567998795409809*c_0110_5^10 + 1593631008666694395031/30054567998795409809*c_0110_5^9 - 936405253977141036983/30054567998795409809*c_0110_5^8 - 1233058103632045424123/30054567998795409809*c_0110_5^7 - 503614473731410213867/30054567998795409809*c_0110_5^6 - 340930693203465080151/30054567998795409809*c_0110_5^5 - 368448705091767086730/30054567998795409809*c_0110_5^4 - 144904151292805918011/30054567998795409809*c_0110_5^3 - 3886046118183725075/30054567998795409809*c_0110_5^2 + 53066902376799788126/30054567998795409809*c_0110_5 - 1277530600959851174/30054567998795409809, c_0101_0 + 9646383723628191752/30054567998795409809*c_0110_5^17 - 70843532573903823347/30054567998795409809*c_0110_5^16 + 87683205455635062299/30054567998795409809*c_0110_5^15 + 59035610454638337781/30054567998795409809*c_0110_5^14 - 91789110884912912136/30054567998795409809*c_0110_5^13 + 1091029811624771839920/30054567998795409809*c_0110_5^12 - 520776995113621954582/30054567998795409809*c_0110_5^11 - 2709260391517574457995/30054567998795409809*c_0110_5^10 - 610096006254589210333/30054567998795409809*c_0110_5^9 + 2062952429127516653354/30054567998795409809*c_0110_5^8 + 747494873643704369486/30054567998795409809*c_0110_5^7 + 95981566125481499789/30054567998795409809*c_0110_5^6 + 471986743154611009407/30054567998795409809*c_0110_5^5 + 187599871323404556144/30054567998795409809*c_0110_5^4 - 163435935293421035412/30054567998795409809*c_0110_5^3 - 76050876469673033939/30054567998795409809*c_0110_5^2 - 74497929484747922068/30054567998795409809*c_0110_5 + 8739262687672971764/30054567998795409809, c_0101_2 + 15558457621348848228/30054567998795409809*c_0110_5^17 - 113903170223937439002/30054567998795409809*c_0110_5^16 + 141145980794321383587/30054567998795409809*c_0110_5^15 + 79221864324174096461/30054567998795409809*c_0110_5^14 - 108739340435466966571/30054567998795409809*c_0110_5^13 + 1742121268187454358224/30054567998795409809*c_0110_5^12 - 819245295740602935935/30054567998795409809*c_0110_5^11 - 4095247360205569603810/30054567998795409809*c_0110_5^10 - 1448127299756547019468/30054567998795409809*c_0110_5^9 + 2922921915988821728004/30054567998795409809*c_0110_5^8 + 1573894554000158121879/30054567998795409809*c_0110_5^7 + 394391889674714705562/30054567998795409809*c_0110_5^6 + 503288757068620695965/30054567998795409809*c_0110_5^5 + 444167431037312371536/30054567998795409809*c_0110_5^4 - 65493141001596157975/30054567998795409809*c_0110_5^3 - 140659853197332274497/30054567998795409809*c_0110_5^2 - 95084847781036399213/30054567998795409809*c_0110_5 + 10792367915959364934/30054567998795409809, c_0101_3 + 28162392041061104645/30054567998795409809*c_0110_5^17 - 207834159978651049402/30054567998795409809*c_0110_5^16 + 273686498131565147545/30054567998795409809*c_0110_5^15 + 83001124697154627359/30054567998795409809*c_0110_5^14 - 141759058905534446572/30054567998795409809*c_0110_5^13 + 3177244663124822184139/30054567998795409809*c_0110_5^12 - 1702708141577472910401/30054567998795409809*c_0110_5^11 - 6637810586970811110458/30054567998795409809*c_0110_5^10 - 2623015616440728683626/30054567998795409809*c_0110_5^9 + 4059995615219909423687/30054567998795409809*c_0110_5^8 + 2135434584533425822763/30054567998795409809*c_0110_5^7 + 1509115156121153548173/30054567998795409809*c_0110_5^6 + 1223287102100443735978/30054567998795409809*c_0110_5^5 + 837456159979710202445/30054567998795409809*c_0110_5^4 + 127732323997847463024/30054567998795409809*c_0110_5^3 - 5198914087072323424/30054567998795409809*c_0110_5^2 - 164882234587078422351/30054567998795409809*c_0110_5 + 923566029436528232/30054567998795409809, c_0110_5^18 - 7*c_0110_5^17 + 7*c_0110_5^16 + 6*c_0110_5^15 - 3*c_0110_5^14 + 111*c_0110_5^13 - 18*c_0110_5^12 - 249*c_0110_5^11 - 189*c_0110_5^10 + 90*c_0110_5^9 + 125*c_0110_5^8 + 94*c_0110_5^7 + 67*c_0110_5^6 + 53*c_0110_5^5 + 20*c_0110_5^4 + 3*c_0110_5^3 - 7*c_0110_5^2 - 2*c_0110_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB