Magma V2.19-8 Wed Aug 21 2013 01:03:09 on localhost [Seed = 3566390472] Type ? for help. Type -D to quit. Loading file "L14n17686__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n17686 geometric_solution 11.68063052 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 1 1 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 -1 0 1 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.048303443886 0.701567363152 0 3 6 5 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.463075850901 0.714641105554 3 0 6 7 0132 0132 1302 0132 0 0 1 1 0 0 0 0 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 9 0 -9 -9 1 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.343532241702 1.369984528532 2 1 8 0 0132 0132 0132 0132 0 0 1 1 0 0 1 -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 0 -1 1 0 0 0 0 9 0 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.807555496795 0.863547612545 9 10 0 11 0132 0132 0132 0132 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 0 0 0 0 1 -1 0 -1 0 0 1 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.170159297024 0.883143762121 11 10 1 12 0132 1023 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0.070567089905 0.588670754555 2 7 12 1 2031 0132 0132 0132 0 0 1 0 0 0 0 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 0 0 0 0 0 0 0 -8 8 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.089581575421 1.698301069102 11 6 2 8 3012 0132 0132 3012 0 0 0 1 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 -1 1 0 0 -1 -8 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.622909508640 0.939403470267 9 12 7 3 2031 2031 1230 0132 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.780490111552 0.719964150705 4 11 8 10 0132 0132 1302 1023 0 0 1 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 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 0.499255247523 1.591658694367 5 4 12 9 1023 0132 0213 1023 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 -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 0.202883198151 0.775575755898 5 9 4 7 0132 0132 0132 1230 0 0 1 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 -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 0.904858376521 1.071366850473 8 10 5 6 1302 0213 0132 0132 0 0 0 1 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 -0.112419650575 0.975159049351 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0110_10'], 'c_1001_10' : d['c_0110_10'], 'c_1001_12' : d['c_0110_10'], 'c_1001_5' : d['c_0011_12'], 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0101_8']), 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_12'], 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : d['c_0101_3'], 'c_1001_8' : negation(d['c_0101_6']), 'c_1010_12' : negation(d['c_0101_8']), 'c_1010_11' : d['c_0101_3'], 'c_1010_10' : d['c_0101_1'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_8']), 'c_0101_10' : d['c_0011_12'], '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_12' : 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_1100_9' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_0110_7'], 'c_1100_7' : d['c_0101_6'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0110_7'], 'c_1100_3' : d['c_0110_7'], 'c_1100_2' : d['c_0101_6'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0110_7'], 'c_1100_10' : negation(d['c_0101_8']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_8']), 'c_1010_6' : d['c_1001_0'], 'c_1010_5' : d['c_0110_10'], 'c_1010_4' : d['c_0110_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_12'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0110_10'], 'c_1010_8' : d['c_0011_12'], 'c_1100_8' : d['c_0110_7'], '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'], 'c_1100_12' : d['c_1100_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' : d['c_0011_8'], 'c_0011_5' : d['c_0011_10'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_6']), 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_6']), 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0101_6'], 'c_0101_12' : negation(d['c_0011_8']), 'c_0011_11' : negation(d['c_0011_10']), 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_6']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_6']), 'c_0101_9' : negation(d['c_0011_8']), 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : negation(d['c_0011_6']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_6']), 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : negation(d['c_0011_8']), 'c_0110_4' : negation(d['c_0011_8']), 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_6, c_0011_8, c_0101_1, c_0101_3, c_0101_6, c_0101_8, c_0110_10, c_0110_7, c_1001_0, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 23997173496779096591861463286354/352355983422054673305173969193*c_1\ 100_1^9 - 75695838085046587114588094428030/105706795026616401991552\ 1907579*c_1100_1^8 + 34787227507146391401953703811856/3203236212927\ 7697573197633563*c_1100_1^7 + 9705956013808148416955367505247696/10\ 57067950266164019915521907579*c_1100_1^6 + 560614375573470530469962727786842/10677454043092565857732544521*c_1\ 100_1^5 + 54537145108845816057837923811363028/352355983422054673305\ 173969193*c_1100_1^4 + 147569177769992109233985837750943591/1057067\ 950266164019915521907579*c_1100_1^3 + 57473554055541932005154077868388380/352355983422054673305173969193*\ c_1100_1^2 - 221124662106681144615497674877327290/35235598342205467\ 3305173969193*c_1100_1 + 530264118297298173930937061707135460/10570\ 67950266164019915521907579, c_0011_0 - 1, c_0011_10 + 2822778290535483420/7304304371445787057307*c_1100_1^9 + 2468602554268775570/7304304371445787057307*c_1100_1^8 - 45790555552778912526/7304304371445787057307*c_1100_1^7 - 370474686872901549252/7304304371445787057307*c_1100_1^6 - 2111596727302081074300/7304304371445787057307*c_1100_1^5 - 6033677439028558396713/7304304371445787057307*c_1100_1^4 - 4549851253372359659307/7304304371445787057307*c_1100_1^3 - 5997096368925134598729/7304304371445787057307*c_1100_1^2 + 27762641608789332280913/7304304371445787057307*c_1100_1 - 21371249580213656554848/7304304371445787057307, c_0011_12 + 314961557529345550/7304304371445787057307*c_1100_1^9 + 1030825936461306747/7304304371445787057307*c_1100_1^8 - 4370593556862196649/7304304371445787057307*c_1100_1^7 - 55183213379567293400/7304304371445787057307*c_1100_1^6 - 340021413234013545190/7304304371445787057307*c_1100_1^5 - 1172616513059618478255/7304304371445787057307*c_1100_1^4 - 1941921928603995627382/7304304371445787057307*c_1100_1^3 - 1506926371210331297058/7304304371445787057307*c_1100_1^2 + 2484974608631367638617/7304304371445787057307*c_1100_1 - 5781565298090823659814/7304304371445787057307, c_0011_6 + 1, c_0011_8 - 539746073689977061/7304304371445787057307*c_1100_1^9 - 116220513763797613/7304304371445787057307*c_1100_1^8 + 10975102878762258621/7304304371445787057307*c_1100_1^7 + 67199054090280088192/7304304371445787057307*c_1100_1^6 + 315069355200287247133/7304304371445787057307*c_1100_1^5 + 649383518275721195474/7304304371445787057307*c_1100_1^4 - 1267380871539789604480/7304304371445787057307*c_1100_1^3 - 2689487921949633209208/7304304371445787057307*c_1100_1^2 - 6856615443540778481504/7304304371445787057307*c_1100_1 + 7321627660461873654640/7304304371445787057307, c_0101_1 + 1547813544475332804/7304304371445787057307*c_1100_1^9 + 2113730414604350016/7304304371445787057307*c_1100_1^8 - 23874914492267634627/7304304371445787057307*c_1100_1^7 - 217989003505400736390/7304304371445787057307*c_1100_1^6 - 1265226911486522124608/7304304371445787057307*c_1100_1^5 - 3893215247036312458455/7304304371445787057307*c_1100_1^4 - 4235199720544669734743/7304304371445787057307*c_1100_1^3 - 4707388757146515963882/7304304371445787057307*c_1100_1^2 + 15453295583331036008917/7304304371445787057307*c_1100_1 - 9470306589316102751530/7304304371445787057307, c_0101_3 + 153847685912366425/7304304371445787057307*c_1100_1^9 - 586052165310567971/7304304371445787057307*c_1100_1^8 - 1426418762961837806/7304304371445787057307*c_1100_1^7 - 7349638025510071238/7304304371445787057307*c_1100_1^6 - 48089145098994341843/7304304371445787057307*c_1100_1^5 - 29453698590011030655/7304304371445787057307*c_1100_1^4 + 171480584719434352619/7304304371445787057307*c_1100_1^3 - 1949310277378095038121/7304304371445787057307*c_1100_1^2 + 185940234377318579352/7304304371445787057307*c_1100_1 - 6063050137293399662758/7304304371445787057307, c_0101_6 + 617320576603980955/7304304371445787057307*c_1100_1^9 - 37031795510359983/7304304371445787057307*c_1100_1^8 - 9677077490436930567/7304304371445787057307*c_1100_1^7 - 73780132419821893691/7304304371445787057307*c_1100_1^6 - 394229051901480620711/7304304371445787057307*c_1100_1^5 - 934091961940428194140/7304304371445787057307*c_1100_1^4 - 265352035276734618190/7304304371445787057307*c_1100_1^3 - 1148531104025908725621/7304304371445787057307*c_1100_1^2 + 9120711291046230208352/7304304371445787057307*c_1100_1 - 566913532289007519638/7304304371445787057307, c_0101_8 - 1081536305396385500/7304304371445787057307*c_1100_1^9 - 2038358486061266824/7304304371445787057307*c_1100_1^8 + 17223847574904796514/7304304371445787057307*c_1100_1^7 + 165657784050531961543/7304304371445787057307*c_1100_1^6 + 938362914200738991806/7304304371445787057307*c_1100_1^5 + 2947063043131728300908/7304304371445787057307*c_1100_1^4 + 2967897029000316728383/7304304371445787057307*c_1100_1^3 + 699572928400751938792/7304304371445787057307*c_1100_1^2 - 10824324413329121927808/7304304371445787057307*c_1100_1 + 952921853075304911097/7304304371445787057307, c_0110_10 + 151043337525033651/7304304371445787057307*c_1100_1^9 - 112403724053443175/7304304371445787057307*c_1100_1^8 - 3026010573074092454/7304304371445787057307*c_1100_1^7 - 21448912964953118844/7304304371445787057307*c_1100_1^6 - 67365054615697487909/7304304371445787057307*c_1100_1^5 + 12060241964155963407/7304304371445787057307*c_1100_1^4 + 1001950656267618388170/7304304371445787057307*c_1100_1^3 + 2859284724719855299469/7304304371445787057307*c_1100_1^2 + 4491740121044316127243/7304304371445787057307*c_1100_1 - 6658137538939783793819/7304304371445787057307, c_0110_7 + 121852690376895536/7304304371445787057307*c_1100_1^9 + 180828343691024631/7304304371445787057307*c_1100_1^8 - 400875918588097009/7304304371445787057307*c_1100_1^7 - 16807015517419950261/7304304371445787057307*c_1100_1^6 - 131217889298805416997/7304304371445787057307*c_1100_1^5 - 530507128327909014690/7304304371445787057307*c_1100_1^4 - 1064154199294067565165/7304304371445787057307*c_1100_1^3 - 2634295004510058846322/7304304371445787057307*c_1100_1^2 + 2405157960458346477886/7304304371445787057307*c_1100_1 - 352653371356000010589/7304304371445787057307, c_1001_0 + 962487963406822738/7304304371445787057307*c_1100_1^9 + 1383881701113117397/7304304371445787057307*c_1100_1^8 - 15223379846204444857/7304304371445787057307*c_1100_1^7 - 134751493593668963676/7304304371445787057307*c_1100_1^6 - 787869115385230428743/7304304371445787057307*c_1100_1^5 - 2458069855357986280280/7304304371445787057307*c_1100_1^4 - 2734212901254433198769/7304304371445787057307*c_1100_1^3 - 2873872925988643430060/7304304371445787057307*c_1100_1^2 + 4113366566203777902031/7304304371445787057307*c_1100_1 - 7309485451518707826754/7304304371445787057307, c_1100_1^10 + c_1100_1^9 - 16*c_1100_1^8 - 134*c_1100_1^7 - 764*c_1100_1^6 - 2233*c_1100_1^5 - 1933*c_1100_1^4 - 2290*c_1100_1^3 + 9337*c_1100_1^2 - 7841*c_1100_1 + 379 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.440 Total time: 0.650 seconds, Total memory usage: 32.09MB