Magma V2.19-8 Tue Aug 20 2013 16:17:25 on localhost [Seed = 1949690045] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1656 geometric_solution 5.39742884 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 0132 0 0 0 0 0 -1 0 1 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 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 0.458501335004 0.624396357478 3 4 2 0 0132 0132 2031 0132 0 0 0 0 0 0 0 0 0 0 -1 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 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 0.575793495119 0.597137191299 4 3 0 1 2310 3201 0132 1302 0 0 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 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 0.575793495119 0.597137191299 1 5 2 5 0132 0132 2310 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.260084603011 1.111410346767 4 1 2 4 3012 0132 3201 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.163225821615 0.867791989434 6 3 6 3 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.620548420312 0.257416238658 5 6 5 6 0132 1302 1023 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.598338362538 0.072223813492 ==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' : 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' : d['c_0011_1'], 'c_1100_5' : negation(d['c_0011_1']), 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : d['c_0101_1'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_6' : negation(d['c_0011_1']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0101_4']), 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0011_1']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0011_1']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_6'], 'c_1010_2' : negation(d['c_0101_1']), '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_0101_0, c_0101_1, c_0101_4, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 465656178822089291968/13102632426739521101*c_0101_6^17 + 1561477554961004553724/13102632426739521101*c_0101_6^16 + 11789285476289745883618/13102632426739521101*c_0101_6^15 - 27965192762225957722513/13102632426739521101*c_0101_6^14 - 90696951145783269572147/13102632426739521101*c_0101_6^13 + 105986956586256990733427/13102632426739521101*c_0101_6^12 + 188649209030306697931533/13102632426739521101*c_0101_6^11 + 66094465425669122318996/13102632426739521101*c_0101_6^10 + 80154555662657452453122/13102632426739521101*c_0101_6^9 - 339547312383024023204895/13102632426739521101*c_0101_6^8 - 489647792816372710276755/13102632426739521101*c_0101_6^7 - 369357288795539269091446/13102632426739521101*c_0101_6^6 - 45185627169236003340619/13102632426739521101*c_0101_6^5 + 201202252265996583253725/13102632426739521101*c_0101_6^4 + 176060535573811357397238/13102632426739521101*c_0101_6^3 + 117068661091745757557108/13102632426739521101*c_0101_6^2 + 45307484840383867539221/13102632426739521101*c_0101_6 + 6069068561208369028230/13102632426739521101, c_0011_0 - 1, c_0011_1 - 639145924963697729050/13102632426739521101*c_0101_6^17 + 2144727818403509283587/13102632426739521101*c_0101_6^16 + 16493215976021551751087/13102632426739521101*c_0101_6^15 - 39736229724599773429531/13102632426739521101*c_0101_6^14 - 131569063283421189246530/13102632426739521101*c_0101_6^13 + 171350075477177094613095/13102632426739521101*c_0101_6^12 + 304466221998044526155696/13102632426739521101*c_0101_6^11 - 35076800875865177441368/13102632426739521101*c_0101_6^10 + 51852643059442303448484/13102632426739521101*c_0101_6^9 - 384216493817505446198410/13102632426739521101*c_0101_6^8 - 753553157175095733095337/13102632426739521101*c_0101_6^7 - 261243924352412240238569/13102632426739521101*c_0101_6^6 + 130228394470727321025134/13102632426739521101*c_0101_6^5 + 216928879140912010341536/13102632426739521101*c_0101_6^4 + 196001317515595603120536/13102632426739521101*c_0101_6^3 + 96733287946731695908966/13102632426739521101*c_0101_6^2 + 22072668010421842663752/13102632426739521101*c_0101_6 + 1820088935743351423310/13102632426739521101, c_0101_0 - 697774983116177033276/13102632426739521101*c_0101_6^17 + 2344786650543937864677/13102632426739521101*c_0101_6^16 + 17994282837618189058688/13102632426739521101*c_0101_6^15 - 43464649407308478848495/13102632426739521101*c_0101_6^14 - 143412526450638564535637/13102632426739521101*c_0101_6^13 + 187708242664837648006632/13102632426739521101*c_0101_6^12 + 331347872495440650289441/13102632426739521101*c_0101_6^11 - 39678860097655410886132/13102632426739521101*c_0101_6^10 + 57185078136075058606418/13102632426739521101*c_0101_6^9 - 419836165979475387613183/13102632426739521101*c_0101_6^8 - 820669065174718395226077/13102632426739521101*c_0101_6^7 - 281653151078344361234065/13102632426739521101*c_0101_6^6 + 142574195842714110615944/13102632426739521101*c_0101_6^5 + 235975854655955046236843/13102632426739521101*c_0101_6^4 + 213121617881482184562857/13102632426739521101*c_0101_6^3 + 104790701682517327285181/13102632426739521101*c_0101_6^2 + 23820188221195475070954/13102632426739521101*c_0101_6 + 1957294106230615395473/13102632426739521101, c_0101_1 - 387595879958826966016/13102632426739521101*c_0101_6^17 + 1358408336670534189326/13102632426739521101*c_0101_6^16 + 9787842814279871225536/13102632426739521101*c_0101_6^15 - 25512941891063951748967/13102632426739521101*c_0101_6^14 - 75702043969101294697572/13102632426739521101*c_0101_6^13 + 114366617094556458290147/13102632426739521101*c_0101_6^12 + 165535503769331504659803/13102632426739521101*c_0101_6^11 - 42045021685308880474051/13102632426739521101*c_0101_6^10 + 41659067866523953505926/13102632426739521101*c_0101_6^9 - 241346495338653154283393/13102632426739521101*c_0101_6^8 - 419182609203711387938863/13102632426739521101*c_0101_6^7 - 103658318303742299478778/13102632426739521101*c_0101_6^6 + 83872962592250930760936/13102632426739521101*c_0101_6^5 + 118376408686913143855950/13102632426739521101*c_0101_6^4 + 103759396235098984078101/13102632426739521101*c_0101_6^3 + 46146233602136268419599/13102632426739521101*c_0101_6^2 + 8915056674907102490058/13102632426739521101*c_0101_6 + 597792665389045099922/13102632426739521101, c_0101_4 + 30048027772354118035/13102632426739521101*c_0101_6^17 - 163977467981886965401/13102632426739521101*c_0101_6^16 - 543798304935309715533/13102632426739521101*c_0101_6^15 + 3424929673358337408477/13102632426739521101*c_0101_6^14 + 1775904234440585395380/13102632426739521101*c_0101_6^13 - 19668079054941494088601/13102632426739521101*c_0101_6^12 + 6199449047828539953881/13102632426739521101*c_0101_6^11 + 25255227812229061485757/13102632426739521101*c_0101_6^10 - 13083532364479076061458/13102632426739521101*c_0101_6^9 + 26629137790066584746589/13102632426739521101*c_0101_6^8 - 5316328397354297725778/13102632426739521101*c_0101_6^7 - 49356090442221713546672/13102632426739521101*c_0101_6^6 - 13070355359326801182188/13102632426739521101*c_0101_6^5 + 4475581516235201108379/13102632426739521101*c_0101_6^4 + 7684213226494953155365/13102632426739521101*c_0101_6^3 + 9626768547891399360985/13102632426739521101*c_0101_6^2 + 4203967184892156179577/13102632426739521101*c_0101_6 + 534528682485990563158/13102632426739521101, c_0101_5 + 180148757657864015871/13102632426739521101*c_0101_6^17 - 658588071473541111055/13102632426739521101*c_0101_6^16 - 4450352509618502567499/13102632426739521101*c_0101_6^15 + 12532982515476972363958/13102632426739521101*c_0101_6^14 + 33305837614096450940297/13102632426739521101*c_0101_6^13 - 58236917570467136803614/13102632426739521101*c_0101_6^12 - 68234732786474374159315/13102632426739521101*c_0101_6^11 + 30086890417442421308887/13102632426739521101*c_0101_6^10 - 23767774043037602001909/13102632426739521101*c_0101_6^9 + 115620839340338011631328/13102632426739521101*c_0101_6^8 + 177512406741929579694868/13102632426739521101*c_0101_6^7 + 20889697211508323764525/13102632426739521101*c_0101_6^6 - 42582560275507273530974/13102632426739521101*c_0101_6^5 - 48516788377357707659357/13102632426739521101*c_0101_6^4 - 40805876425605082888008/13102632426739521101*c_0101_6^3 - 15147231711807872843005/13102632426739521101*c_0101_6^2 - 1748431462084754063056/13102632426739521101*c_0101_6 + 11430676974480527992/13102632426739521101, c_0101_6^18 - 3*c_0101_6^17 - 27*c_0101_6^16 + 53*c_0101_6^15 + 228*c_0101_6^14 - 195*c_0101_6^13 - 572*c_0101_6^12 - 114*c_0101_6^11 - 61*c_0101_6^10 + 572*c_0101_6^9 + 1393*c_0101_6^8 + 827*c_0101_6^7 - 60*c_0101_6^6 - 412*c_0101_6^5 - 427*c_0101_6^4 - 260*c_0101_6^3 - 88*c_0101_6^2 - 15*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB