Magma V2.19-8 Tue Aug 20 2013 16:16:53 on localhost [Seed = 3170705507] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1146 geometric_solution 5.01649112 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1302 2031 0132 2310 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 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 3.273058271449 0.932215449192 0 2 2 0 3201 0132 3201 0132 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 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 -0.537286148733 0.823565064849 1 1 3 4 2310 0132 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 -0.041568750622 0.301030226714 4 5 6 2 1023 0132 0132 0132 0 0 0 0 0 -1 0 1 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 -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 -0.232282292539 1.404345102464 5 3 2 6 2310 1023 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.232282292539 1.404345102465 5 3 4 5 3201 0132 3201 2310 0 0 0 0 0 1 0 -1 1 0 -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 1 0 -1 1 0 -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 0.114642752299 0.693113478279 6 6 4 3 1230 3012 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 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 0.728376928213 1.451633674798 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(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' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(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' : 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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : d['c_1100_2'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_1100_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_1100_2'], 'c_1100_2' : d['c_1100_2'], 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : negation(d['c_0011_6']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : d['c_0011_6'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : negation(d['c_0101_1']), 'c_0110_3' : negation(d['c_0011_6']), 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : negation(d['c_0101_5']), 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0011_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_3, c_0011_6, c_0101_1, c_0101_5, c_1100_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t + 1206664860016940432899678549/148334357509950279239684448*c_0101_5*c\ _1100_2^12 - 636220120502005184341214663/7807071447892119959983392*\ c_0101_5*c_1100_2^11 + 58116351343412914049676638771/14833435750995\ 0279239684448*c_0101_5*c_1100_2^10 + 753271078881765349878076463/537443324311414055216248*c_0101_5*c_110\ 0_2^9 - 48647980859132786656406140447/12361196459162523269973704*c_\ 0101_5*c_1100_2^8 - 713285800006250101084480958049/4944478583665009\ 3079894816*c_0101_5*c_1100_2^7 - 28404333694131171457237324673/1483\ 34357509950279239684448*c_0101_5*c_1100_2^6 + 584584376341272137275329273665/21190622501421468462812064*c_0101_5*\ c_1100_2^5 - 6658144475019232063470804823/4362775220880890565873072\ *c_0101_5*c_1100_2^4 - 1685851463078975126152012699397/494447858366\ 50093079894816*c_0101_5*c_1100_2^3 + 427722843530765705016390813329/148334357509950279239684448*c_0101_5\ *c_1100_2^2 + 1316261206207542224006250629425/148334357509950279239\ 684448*c_0101_5*c_1100_2 - 585865931314279987232142560171/148334357\ 509950279239684448*c_0101_5, c_0011_0 - 1, c_0011_1 + 3387321915343039841/5467136868271792689064*c_1100_2^12 - 35046370919778957841/5467136868271792689064*c_1100_2^11 + 173432464371687983815/5467136868271792689064*c_1100_2^10 + 135268165319710180299/1366784217067948172266*c_1100_2^9 - 475057394380652992565/1366784217067948172266*c_1100_2^8 - 5454070914696901295591/5467136868271792689064*c_1100_2^7 + 2485174542389939934627/5467136868271792689064*c_1100_2^6 + 11516905921604068345571/5467136868271792689064*c_1100_2^5 - 3218910685234847175539/2733568434135896344532*c_1100_2^4 - 13117535635312858217755/5467136868271792689064*c_1100_2^3 + 10776165464563569037829/5467136868271792689064*c_1100_2^2 - 1607919702113322903691/5467136868271792689064*c_1100_2 - 188818330642971972729/237701602968338812568, c_0011_3 + 4559167359563266312097/882942604225894519283836*c_0101_5*c_1\ 100_2^12 - 2339453862200810904643/46470663380310237857044*c_0101_5*\ c_1100_2^11 + 207111898907777852528871/882942604225894519283836*c_0\ 101_5*c_1100_2^10 + 211530789215523782099409/2207356510564736298209\ 59*c_0101_5*c_1100_2^9 - 499940545372653009025173/22073565105647362\ 9820959*c_0101_5*c_1100_2^8 - 8745823806489204200485875/88294260422\ 5894519283836*c_0101_5*c_1100_2^7 - 2197942159195179611847461/882942604225894519283836*c_0101_5*c_1100_\ 2^6 + 16053383111576933738316067/882942604225894519283836*c_0101_5*\ c_1100_2^5 + 79203910629279200409479/19194404439693359114866*c_0101\ _5*c_1100_2^4 - 20257918962460148782497607/882942604225894519283836\ *c_0101_5*c_1100_2^3 - 3815675622008303276309643/882942604225894519\ 283836*c_0101_5*c_1100_2^2 + 360423056374631804975441/5193780024858\ 2030546108*c_0101_5*c_1100_2 - 1354525846677351986674803/8829426042\ 25894519283836*c_0101_5, c_0011_6 + 5307183511575488071/5467136868271792689064*c_1100_2^12 - 57087377725928943615/5467136868271792689064*c_1100_2^11 + 298331462704515987849/5467136868271792689064*c_1100_2^10 + 171640196773414961647/1366784217067948172266*c_1100_2^9 - 756349392111101564557/1366784217067948172266*c_1100_2^8 - 7218040607966219506041/5467136868271792689064*c_1100_2^7 + 4850945500648660620573/5467136868271792689064*c_1100_2^6 + 14554273332705374349373/5467136868271792689064*c_1100_2^5 - 5415616636208477855561/2733568434135896344532*c_1100_2^4 - 14467858986665149773213/5467136868271792689064*c_1100_2^3 + 13101912301532356619139/5467136868271792689064*c_1100_2^2 - 199298072660823612237/5467136868271792689064*c_1100_2 - 2381465541994516938601/5467136868271792689064, c_0101_1 - 243266296555399435707/220735651056473629820959*c_0101_5*c_11\ 00_2^12 + 123545529498407942482/11617665845077559464261*c_0101_5*c_\ 1100_2^11 - 11106983944331869780005/220735651056473629820959*c_0101\ _5*c_1100_2^10 - 43243865353667731506041/220735651056473629820959*c\ _0101_5*c_1100_2^9 + 87395190628375459995738/2207356510564736298209\ 59*c_0101_5*c_1100_2^8 + 429506113442511332122195/22073565105647362\ 9820959*c_0101_5*c_1100_2^7 + 322207869018733957151277/220735651056\ 473629820959*c_0101_5*c_1100_2^6 - 362141779942081445244106/220735651056473629820959*c_0101_5*c_1100_2\ ^5 - 414318627111100409409234/220735651056473629820959*c_0101_5*c_1\ 100_2^4 + 54201253684945546441431/220735651056473629820959*c_0101_5\ *c_1100_2^3 + 614393198711455015695134/220735651056473629820959*c_0\ 101_5*c_1100_2^2 + 42534272020367858421328/12984450062145507636527*\ c_0101_5*c_1100_2 - 242513144400609085756597/2207356510564736298209\ 59*c_0101_5, c_0101_5^2 + 1801372461179582495/5467136868271792689064*c_1100_2^12 - 19381295664335674047/5467136868271792689064*c_1100_2^11 + 103083526112716777177/5467136868271792689064*c_1100_2^10 + 52797969941821027383/1366784217067948172266*c_1100_2^9 - 223796013575582095889/1366784217067948172266*c_1100_2^8 - 2421108464810647990153/5467136868271792689064*c_1100_2^7 + 657184437746871154749/5467136868271792689064*c_1100_2^6 + 4561001477794743392685/5467136868271792689064*c_1100_2^5 - 990365490210960870773/2733568434135896344532*c_1100_2^4 - 8186968524415183177261/5467136868271792689064*c_1100_2^3 + 3781910790498283283/5467136868271792689064*c_1100_2^2 + 4124066222267627705651/5467136868271792689064*c_1100_2 - 1063453725495007620913/5467136868271792689064, c_1100_2^13 - 10*c_1100_2^12 + 48*c_1100_2^11 + 173*c_1100_2^10 - 480*c_1100_2^9 - 1779*c_1100_2^8 - 62*c_1100_2^7 + 3360*c_1100_2^6 - 137*c_1100_2^5 - 4141*c_1100_2^4 + 296*c_1100_2^3 + 1032*c_1100_2^2 - 484*c_1100_2 + 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB