Magma V2.19-8 Tue Aug 20 2013 16:17:14 on localhost [Seed = 1494795654] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1478 geometric_solution 5.29103080 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 -1 1 1 0 0 -1 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 -1 1 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 0.842672565371 1.176307010998 0 4 2 3 0132 1302 3120 2031 0 0 0 0 0 0 1 -1 -1 0 0 1 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 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 0.597538216412 0.561806135797 2 0 1 2 3201 0132 3120 2310 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 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 0.926673261935 0.855475333357 5 1 5 0 0132 1302 1023 0132 0 0 0 0 0 -1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.610260881064 0.483734616331 6 6 0 1 0132 2310 0132 2031 0 0 0 0 0 0 -1 1 -1 0 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 1 0 -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 -0.799787973531 0.730016901977 3 5 3 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.562237585547 0.111791084403 4 6 6 4 0132 3201 2310 3201 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 -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 -0.347425040618 0.895977885997 ==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' : negation(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' : negation(d['1']), 's_0_4' : negation(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_3'], 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), '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' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_0101_6'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : negation(d['c_0101_6']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0011_0'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : negation(d['c_0101_6'])})} 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_3, c_0011_4, c_0101_0, c_0101_2, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 23 Groebner basis: [ t + 17279895872804641995/31984052659645313*c_0101_6^22 + 52603049129328997463/31984052659645313*c_0101_6^21 - 141265697887323118101/31984052659645313*c_0101_6^20 - 754113548950413471957/31984052659645313*c_0101_6^19 - 602213730822897729151/31984052659645313*c_0101_6^18 + 1777202771321747025057/31984052659645313*c_0101_6^17 + 3681133925862043965187/31984052659645313*c_0101_6^16 + 3633442977877176414/524328732125333*c_0101_6^15 - 5566680748229690424500/31984052659645313*c_0101_6^14 - 4375936106431089374265/31984052659645313*c_0101_6^13 + 3195916311453417011860/31984052659645313*c_0101_6^12 + 5873417135014837308289/31984052659645313*c_0101_6^11 + 331645799794767749259/31984052659645313*c_0101_6^10 - 4297841897153217051350/31984052659645313*c_0101_6^9 - 2084576486746923934703/31984052659645313*c_0101_6^8 + 1892071011788099522525/31984052659645313*c_0101_6^7 + 1642420813992869032932/31984052659645313*c_0101_6^6 - 627273939921423963845/31984052659645313*c_0101_6^5 - 767380981957358688892/31984052659645313*c_0101_6^4 + 158055289232816815520/31984052659645313*c_0101_6^3 + 264540114092376909580/31984052659645313*c_0101_6^2 + 71724515850812461011/31984052659645313*c_0101_6 + 5972298848358454629/31984052659645313, c_0011_0 - 1, c_0011_3 + 3642176077914/23438529041*c_0101_6^22 + 12182652977972/23438529041*c_0101_6^21 - 26966630483528/23438529041*c_0101_6^20 - 169731435574272/23438529041*c_0101_6^19 - 171381413571369/23438529041*c_0101_6^18 + 360228748461311/23438529041*c_0101_6^17 + 917943144305081/23438529041*c_0101_6^16 + 4032232893915/384238181*c_0101_6^15 - 1274613368029815/23438529041*c_0101_6^14 - 1337514214144656/23438529041*c_0101_6^13 + 502366064524209/23438529041*c_0101_6^12 + 1587242806492696/23438529041*c_0101_6^11 + 427806083001024/23438529041*c_0101_6^10 - 1018413423431895/23438529041*c_0101_6^9 - 764541460098645/23438529041*c_0101_6^8 + 340000954362519/23438529041*c_0101_6^7 + 532230171302902/23438529041*c_0101_6^6 - 45782052951415/23438529041*c_0101_6^5 - 234757301769312/23438529041*c_0101_6^4 - 6855607127760/23438529041*c_0101_6^3 + 83873608059360/23438529041*c_0101_6^2 + 34048113927431/23438529041*c_0101_6 + 3952763292724/23438529041, c_0011_4 - 1814562652689/23438529041*c_0101_6^22 - 6010826381550/23438529041*c_0101_6^21 + 13603541191841/23438529041*c_0101_6^20 + 84045221033434/23438529041*c_0101_6^19 + 82891166692583/23438529041*c_0101_6^18 - 181028471601924/23438529041*c_0101_6^17 - 450742183584247/23438529041*c_0101_6^16 - 1817851508462/384238181*c_0101_6^15 + 633361529264955/23438529041*c_0101_6^14 + 646539934369628/23438529041*c_0101_6^13 - 262403209008484/23438529041*c_0101_6^12 - 776864226829064/23438529041*c_0101_6^11 - 194073718114481/23438529041*c_0101_6^10 + 505285632039517/23438529041*c_0101_6^9 + 365375614132537/23438529041*c_0101_6^8 - 174525518406500/23438529041*c_0101_6^7 - 257268152697128/23438529041*c_0101_6^6 + 27775895815412/23438529041*c_0101_6^5 + 113981774826883/23438529041*c_0101_6^4 + 1029783028824/23438529041*c_0101_6^3 - 40842252863132/23438529041*c_0101_6^2 - 16055278719487/23438529041*c_0101_6 - 1818912910201/23438529041, c_0101_0 - 4569884493267841122/31984052659645313*c_0101_6^22 - 15501246757893691289/31984052659645313*c_0101_6^21 + 33191475375828065498/31984052659645313*c_0101_6^20 + 214793934361317284886/31984052659645313*c_0101_6^19 + 224434057162661428488/31984052659645313*c_0101_6^18 - 445235707344905094729/31984052659645313*c_0101_6^17 - 1175620339895489533622/31984052659645313*c_0101_6^16 - 5811141433976254248/524328732125333*c_0101_6^15 + 1601383213798616275039/31984052659645313*c_0101_6^14 + 1753267166027862497512/31984052659645313*c_0101_6^13 - 578057180620218815900/31984052659645313*c_0101_6^12 - 2040308003191142861508/31984052659645313*c_0101_6^11 - 613255159428354877761/31984052659645313*c_0101_6^10 + 1280157195397879116856/31984052659645313*c_0101_6^9 + 1018662572824550393218/31984052659645313*c_0101_6^8 - 403018538905981245491/31984052659645313*c_0101_6^7 - 696541736324547535956/31984052659645313*c_0101_6^6 + 36509837317321769159/31984052659645313*c_0101_6^5 + 305019631221231086762/31984052659645313*c_0101_6^4 + 18642578046734859327/31984052659645313*c_0101_6^3 - 108598363287102559038/31984052659645313*c_0101_6^2 - 46487481197481062900/31984052659645313*c_0101_6 - 5606284734050355414/31984052659645313, c_0101_2 + 3374383471833/29050820377*c_0101_6^22 + 11240543003516/29050820377*c_0101_6^21 - 25130652527548/29050820377*c_0101_6^20 - 156875940598380/29050820377*c_0101_6^19 - 156680585356344/29050820377*c_0101_6^18 + 335467004390213/29050820377*c_0101_6^17 + 845396656568545/29050820377*c_0101_6^16 + 3562820390952/476242957*c_0101_6^15 - 1181299731246109/29050820377*c_0101_6^14 - 1222667956520922/29050820377*c_0101_6^13 + 477938508882181/29050820377*c_0101_6^12 + 1460333449316907/29050820377*c_0101_6^11 + 378895783940330/29050820377*c_0101_6^10 - 943659947188783/29050820377*c_0101_6^9 - 695005546844398/29050820377*c_0101_6^8 + 320770519572887/29050820377*c_0101_6^7 + 486766612766937/29050820377*c_0101_6^6 - 47386865723631/29050820377*c_0101_6^5 - 215201331787765/29050820377*c_0101_6^4 - 3942707491546/29050820377*c_0101_6^3 + 77001330723720/29050820377*c_0101_6^2 + 30689842029661/29050820377*c_0101_6 + 3515646933582/29050820377, c_0101_3 + 3829546462166161914/31984052659645313*c_0101_6^22 + 13182715438354721948/31984052659645313*c_0101_6^21 - 27256514254559286539/31984052659645313*c_0101_6^20 - 181662755578257212943/31984052659645313*c_0101_6^19 - 196283481924245510304/31984052659645313*c_0101_6^18 + 367609565754739927847/31984052659645313*c_0101_6^17 + 1006331139446411230923/31984052659645313*c_0101_6^16 + 5510374088089974770/524328732125333*c_0101_6^15 - 1345363331520691544489/31984052659645313*c_0101_6^14 - 1534102667915483739014/31984052659645313*c_0101_6^13 + 441648984073579203199/31984052659645313*c_0101_6^12 + 1753367968671316340405/31984052659645313*c_0101_6^11 + 578362411492447924111/31984052659645313*c_0101_6^10 - 1076915130771919336309/31984052659645313*c_0101_6^9 - 904747714235703176328/31984052659645313*c_0101_6^8 + 318873262221277525805/31984052659645313*c_0101_6^7 + 608927174561094449692/31984052659645313*c_0101_6^6 - 13257538343275978127/31984052659645313*c_0101_6^5 - 264903104889267701976/31984052659645313*c_0101_6^4 - 23999545915580324834/31984052659645313*c_0101_6^3 + 93958031891542998659/31984052659645313*c_0101_6^2 + 42093124015422126162/31984052659645313*c_0101_6 + 5226104227876109718/31984052659645313, c_0101_6^23 + 11/3*c_0101_6^22 - 19/3*c_0101_6^21 - 49*c_0101_6^20 - 62*c_0101_6^19 + 84*c_0101_6^18 + 284*c_0101_6^17 + 148*c_0101_6^16 - 988/3*c_0101_6^15 - 1439/3*c_0101_6^14 + 65/3*c_0101_6^13 + 1444/3*c_0101_6^12 + 769/3*c_0101_6^11 - 731/3*c_0101_6^10 - 899/3*c_0101_6^9 + 82/3*c_0101_6^8 + 530/3*c_0101_6^7 + 101/3*c_0101_6^6 - 69*c_0101_6^5 - 67/3*c_0101_6^4 + 68/3*c_0101_6^3 + 50/3*c_0101_6^2 + 4*c_0101_6 + 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB