Magma V2.19-8 Tue Aug 20 2013 16:15:48 on localhost [Seed = 896837918] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0023 geometric_solution 3.58560611 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 2310 2310 0 0 0 0 0 -1 0 1 -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 -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 -5.797048301257 4.139326052998 0 0 3 3 0132 3201 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 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 0.146310413220 0.160058551067 0 0 4 4 3201 0132 3201 0132 0 0 0 0 0 1 0 -1 0 0 0 0 -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 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 0.083353576988 0.036221266393 1 5 1 6 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 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 0.825573818719 2.008265597949 2 4 2 4 2310 1302 0132 2031 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 -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 -11.018153036480 4.412167299558 6 3 6 6 3201 0132 2310 3120 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 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 0.024813976675 0.988673269972 5 5 3 5 3120 3201 0132 2310 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 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 0.024813976675 0.988673269972 ==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' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : negation(d['1']), 's_3_0' : 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' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : negation(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' : 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_3']), 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : negation(d['c_0011_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' : negation(d['c_0011_6']), 'c_0101_1' : d['c_0011_6'], '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' : 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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_5']), 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_6'], 'c_0110_3' : negation(d['c_0011_6']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : d['c_0011_6'], 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : negation(d['c_0011_6']), 'c_1010_0' : negation(d['c_0101_4'])})} 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_0011_6, c_0101_0, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 351268542952688911555697/2783213569440991404459*c_0101_5^15 + 789660206750013436323881/2783213569440991404459*c_0101_5^14 + 7182710366109953745711593/2783213569440991404459*c_0101_5^13 + 6664471023231145492093945/927737856480330468153*c_0101_5^12 + 9051459447611779468357910/2783213569440991404459*c_0101_5^11 + 63679541730586804968480/14725997721910007431*c_0101_5^10 + 5278773962824561336747685/309245952160110156051*c_0101_5^9 - 14149194512304070859448019/927737856480330468153*c_0101_5^8 - 19993949298314114673167659/2783213569440991404459*c_0101_5^7 + 1580418785411270921709506/103081984053370052017*c_0101_5^6 - 35407688978176467458671534/2783213569440991404459*c_0101_5^5 - 64871670294231334508812346/2783213569440991404459*c_0101_5^4 + 263911868190448140514795/103081984053370052017*c_0101_5^3 + 8799201939291033262013200/2783213569440991404459*c_0101_5^2 + 1870762067586538866184505/927737856480330468153*c_0101_5 + 1436888730435253469592760/2783213569440991404459, c_0011_0 - 1, c_0011_3 - 4255232377616440867/14725997721910007431*c_0101_5^15 + 9819689233724425566/14725997721910007431*c_0101_5^14 + 86458572395456119640/14725997721910007431*c_0101_5^13 + 237088236092970814709/14725997721910007431*c_0101_5^12 + 94573784659467464968/14725997721910007431*c_0101_5^11 + 135628429271648241701/14725997721910007431*c_0101_5^10 + 558986827995935042531/14725997721910007431*c_0101_5^9 - 553360933880234956873/14725997721910007431*c_0101_5^8 - 217949790216291789067/14725997721910007431*c_0101_5^7 + 515313841805469064730/14725997721910007431*c_0101_5^6 - 448330261073125928429/14725997721910007431*c_0101_5^5 - 759540845212356858273/14725997721910007431*c_0101_5^4 + 110196919751255932448/14725997721910007431*c_0101_5^3 + 115196868853702764835/14725997721910007431*c_0101_5^2 + 81750589928006874062/14725997721910007431*c_0101_5 + 12062510360193145465/14725997721910007431, c_0011_4 - 21396697291841514813/14725997721910007431*c_0101_5^15 + 48515408891901117216/14725997721910007431*c_0101_5^14 + 436599059292516192044/14725997721910007431*c_0101_5^13 + 1209440535202932926993/14725997721910007431*c_0101_5^12 + 527111289783479257207/14725997721910007431*c_0101_5^11 + 719525331630246071732/14725997721910007431*c_0101_5^10 + 2874543628754674275952/14725997721910007431*c_0101_5^9 - 2640991981239983449578/14725997721910007431*c_0101_5^8 - 1172061348235838528553/14725997721910007431*c_0101_5^7 + 2610695781725180831274/14725997721910007431*c_0101_5^6 - 2186114235860061684872/14725997721910007431*c_0101_5^5 - 3912284350428394730792/14725997721910007431*c_0101_5^4 + 490321932338034708476/14725997721910007431*c_0101_5^3 + 545872654154970545281/14725997721910007431*c_0101_5^2 + 348448773571112865227/14725997721910007431*c_0101_5 + 68498218020649020412/14725997721910007431, c_0011_6 + 8127868597356645227/14725997721910007431*c_0101_5^15 - 17745118547678631058/14725997721910007431*c_0101_5^14 - 167460040679034695822/14725997721910007431*c_0101_5^13 - 473103910399415872705/14725997721910007431*c_0101_5^12 - 238007523185455945193/14725997721910007431*c_0101_5^11 - 289786289270115683809/14725997721910007431*c_0101_5^10 - 1122125781801345940487/14725997721910007431*c_0101_5^9 + 907708054339297072702/14725997721910007431*c_0101_5^8 + 528292888741535317250/14725997721910007431*c_0101_5^7 - 986603206069019515364/14725997721910007431*c_0101_5^6 + 757896422934199734579/14725997721910007431*c_0101_5^5 + 1567005980278650382524/14725997721910007431*c_0101_5^4 - 83426551665379167308/14725997721910007431*c_0101_5^3 - 216342323397655833193/14725997721910007431*c_0101_5^2 - 127063732260409375430/14725997721910007431*c_0101_5 - 33142951752410895065/14725997721910007431, c_0101_0 - 38618714519770263490/14725997721910007431*c_0101_5^15 + 87016523261647531249/14725997721910007431*c_0101_5^14 + 788913123513848828751/14725997721910007431*c_0101_5^13 + 2194782375221924454397/14725997721910007431*c_0101_5^12 + 989667784999422820170/14725997721910007431*c_0101_5^11 + 1333574808272368526189/14725997721910007431*c_0101_5^10 + 5220311635682601568256/14725997721910007431*c_0101_5^9 - 4679569350986056548583/14725997721910007431*c_0101_5^8 - 2129312684287011891265/14725997721910007431*c_0101_5^7 + 4660051796941551598887/14725997721910007431*c_0101_5^6 - 3902613358585437534118/14725997721910007431*c_0101_5^5 - 7074330213974961046813/14725997721910007431*c_0101_5^4 + 775386873541148392436/14725997721910007431*c_0101_5^3 + 932352157435069429352/14725997721910007431*c_0101_5^2 + 622948880411646479723/14725997721910007431*c_0101_5 + 144161870812833479695/14725997721910007431, c_0101_4 - 46132596942419250211/14725997721910007431*c_0101_5^15 + 104034784507453576775/14725997721910007431*c_0101_5^14 + 942225665891292155673/14725997721910007431*c_0101_5^13 + 2619963325779869977988/14725997721910007431*c_0101_5^12 + 1176946568811958019863/14725997721910007431*c_0101_5^11 + 1590478337281184301533/14725997721910007431*c_0101_5^10 + 6234394599677455905678/14725997721910007431*c_0101_5^9 - 5600912646181537533397/14725997721910007431*c_0101_5^8 - 2536819892662631333656/14725997721910007431*c_0101_5^7 + 5572053638978415844827/14725997721910007431*c_0101_5^6 - 4674362148814425886584/14725997721910007431*c_0101_5^5 - 8448029601827910566908/14725997721910007431*c_0101_5^4 + 940648720117364869496/14725997721910007431*c_0101_5^3 + 1119839800187614015369/14725997721910007431*c_0101_5^2 + 737591937924431178633/14725997721910007431*c_0101_5 + 167530583445770347179/14725997721910007431, c_0101_5^16 - 2*c_0101_5^15 - 21*c_0101_5^14 - 62*c_0101_5^13 - 40*c_0101_5^12 - 41*c_0101_5^11 - 144*c_0101_5^10 + 87*c_0101_5^9 + 86*c_0101_5^8 - 107*c_0101_5^7 + 71*c_0101_5^6 + 209*c_0101_5^5 + 26*c_0101_5^4 - 29*c_0101_5^3 - 22*c_0101_5^2 - 8*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB