Magma V2.19-8 Tue Aug 20 2013 16:16:21 on localhost [Seed = 2985307477] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0618 geometric_solution 4.62030887 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 3201 2310 1023 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 2.833988057404 0.888259589106 0 2 2 0 0132 0132 3201 1023 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 -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 -0.118308374356 0.143920061417 1 1 3 3 2310 0132 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 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 1.310188549658 2.991995212989 2 4 5 2 3201 0132 0132 0132 0 0 0 0 0 0 -1 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 -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 0.375146671897 0.247823617520 5 3 5 6 2031 0132 2103 0132 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 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 0.667265019141 0.734503048579 4 6 4 3 2103 2310 1302 0132 0 0 0 0 0 0 -1 1 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 0 0 1 -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 0.667265019141 0.734503048579 6 6 4 5 1230 3012 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 1.322392889954 0.745887276854 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(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' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(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' : negation(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' : 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_5']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), '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' : d['c_0011_0'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0011_5'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : d['c_0011_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_5'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0011_5'], 'c_1010_0' : 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_3, c_0011_5, c_0011_6, c_0101_0, c_0101_2, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 30 Groebner basis: [ t + 68225833736646349754595345351/8311203035704173562119255260*c_0101_6\ ^14 - 78683621712047719175007417149/2077800758926043390529813815*c_\ 0101_6^13 + 1130605108789857715234504639623/41556015178520867810596\ 27630*c_0101_6^12 + 125251557758957485876407211753/1662240607140834\ 712423851052*c_0101_6^11 - 27186601648575719260640143183849/4155601\ 517852086781059627630*c_0101_6^10 + 10017293235327502802958823534383/8311203035704173562119255260*c_010\ 1_6^9 + 29183144494398952876708181799539/83112030357041735621192552\ 6*c_0101_6^8 - 42599781425900443910600880925477/2077800758926043390\ 529813815*c_0101_6^7 - 3208224351314909474830598004799/415560151785\ 208678105962763*c_0101_6^6 + 291251826239018735940037440144919/8311\ 203035704173562119255260*c_0101_6^5 - 10061303746422940464716896961629/415560151785208678105962763*c_0101\ _6^4 - 64737853161093009187991328575661/831120303570417356211925526\ 0*c_0101_6^3 + 26560089648482842892343351873531/4155601517852086781\ 059627630*c_0101_6^2 + 7003488630580406913473448645421/831120303570\ 4173562119255260*c_0101_6 - 818039728712418834127600212368/20778007\ 58926043390529813815, c_0011_0 - 1, c_0011_3 - 17176184660126458362713235/831120303570417356211925526*c_010\ 1_6^14 + 37099214284444220008650239/415560151785208678105962763*c_0\ 101_6^13 - 274578098242904100308190568/415560151785208678105962763*\ c_0101_6^12 - 311882388853764825344450449/8311203035704173562119255\ 26*c_0101_6^11 + 6772860178919271643809976009/415560151785208678105\ 962763*c_0101_6^10 + 1412246838156240806882193227/83112030357041735\ 6211925526*c_0101_6^9 - 35881471372770563116865292879/4155601517852\ 08678105962763*c_0101_6^8 + 11097602655123291539508580711/415560151\ 785208678105962763*c_0101_6^7 + 7927752980362980853860438919/415560\ 151785208678105962763*c_0101_6^6 - 67534338565954164886508655217/831120303570417356211925526*c_0101_6^\ 5 + 16202008150515675373587981081/415560151785208678105962763*c_010\ 1_6^4 + 18902967323305725588071562865/831120303570417356211925526*c\ _0101_6^3 - 2736980791280441604564606594/41556015178520867810596276\ 3*c_0101_6^2 - 1950419972136137552502842091/83112030357041735621192\ 5526*c_0101_6 + 176832993105423326832132694/41556015178520867810596\ 2763, c_0011_5 + 668145371483024289734950141/8311203035704173562119255260*c_0\ 101_2*c_0101_6^14 - 3050494336848378566255176191/831120303570417356\ 2119255260*c_0101_2*c_0101_6^13 + 22142103076479065436261431261/831\ 1203035704173562119255260*c_0101_2*c_0101_6^12 + 656340302123728179276866765/831120303570417356211925526*c_0101_2*c_\ 0101_6^11 - 263782587627842428009163973059/415560151785208678105962\ 7630*c_0101_2*c_0101_6^10 + 75363944757459806615177693043/831120303\ 5704173562119255260*c_0101_2*c_0101_6^9 + 549923173539800429732439991281/1662240607140834712423851052*c_0101_\ 2*c_0101_6^8 - 1545090399932358052315007818353/83112030357041735621\ 19255260*c_0101_2*c_0101_6^7 - 24556873805606880475174164203/166224\ 0607140834712423851052*c_0101_2*c_0101_6^6 + 658385051401101973121795370546/2077800758926043390529813815*c_0101_\ 2*c_0101_6^5 - 188199093223029493880976034887/831120303570417356211\ 925526*c_0101_2*c_0101_6^4 - 164073917350245804056943733141/8311203\ 035704173562119255260*c_0101_2*c_0101_6^3 + 223764575380157543046947121797/8311203035704173562119255260*c_0101_\ 2*c_0101_6^2 + 5913806809670067842404708233/41556015178520867810596\ 27630*c_0101_2*c_0101_6 + 79559757918035509020986207/20778007589260\ 43390529813815*c_0101_2, c_0011_6 - 344873857689589510586792893/8311203035704173562119255260*c_0\ 101_2*c_0101_6^14 + 1567128159719694529327941163/831120303570417356\ 2119255260*c_0101_2*c_0101_6^13 - 11314076798885592961539755153/831\ 1203035704173562119255260*c_0101_2*c_0101_6^12 - 397292146802822154459176609/831120303570417356211925526*c_0101_2*c_\ 0101_6^11 + 137400324804120447539186585797/415560151785208678105962\ 7630*c_0101_2*c_0101_6^10 - 31289987977377385963630482439/831120303\ 5704173562119255260*c_0101_2*c_0101_6^9 - 296623688499072372243156524125/1662240607140834712423851052*c_0101_\ 2*c_0101_6^8 + 752158644575290752511050301389/831120303570417356211\ 9255260*c_0101_2*c_0101_6^7 + 80374244099299193439895688139/1662240\ 607140834712423851052*c_0101_2*c_0101_6^6 - 356089069128601199555763654523/2077800758926043390529813815*c_0101_\ 2*c_0101_6^5 + 93425671508875062370884361371/8311203035704173562119\ 25526*c_0101_2*c_0101_6^4 + 418586191084545296431819523873/83112030\ 35704173562119255260*c_0101_2*c_0101_6^3 - 225400318678498835787590471321/8311203035704173562119255260*c_0101_\ 2*c_0101_6^2 - 23614369429253568653407246909/4155601517852086781059\ 627630*c_0101_2*c_0101_6 + 1493114938431627182728340769/20778007589\ 26043390529813815*c_0101_2, c_0101_0 - 976382167169733419039066759/4155601517852086781059627630*c_0\ 101_2*c_0101_6^14 + 2358855467188860976659572762/207780075892604339\ 0529813815*c_0101_2*c_0101_6^13 - 16680739670128909052118663007/207\ 7800758926043390529813815*c_0101_2*c_0101_6^12 - 353699759694137771099016283/831120303570417356211925526*c_0101_2*c_\ 0101_6^11 + 389690161143600024702448315981/207780075892604339052981\ 3815*c_0101_2*c_0101_6^10 - 312337064551255023041520686407/41556015\ 17852086781059627630*c_0101_2*c_0101_6^9 - 413139672790655984362085793381/415560151785208678105962763*c_0101_2\ *c_0101_6^8 + 1658272463875953002135450321771/207780075892604339052\ 9813815*c_0101_2*c_0101_6^7 + 31161215654385820520398558182/4155601\ 51785208678105962763*c_0101_2*c_0101_6^6 - 4156852205390378674858841643761/4155601517852086781059627630*c_0101\ _2*c_0101_6^5 + 375436716827427403759472482274/41556015178520867810\ 5962763*c_0101_2*c_0101_6^4 + 209305698797434844332055025469/415560\ 1517852086781059627630*c_0101_2*c_0101_6^3 - 373125022248286639090833398359/2077800758926043390529813815*c_0101_\ 2*c_0101_6^2 + 2919932055360112948420453951/41556015178520867810596\ 27630*c_0101_2*c_0101_6 + 13341005793285482668557773754/20778007589\ 26043390529813815*c_0101_2, c_0101_2^2 + 46376653357846231292917875/415560151785208678105962763*c_0\ 101_6^14 - 220608544748564068698197228/415560151785208678105962763*\ c_0101_6^13 + 1570271345521398205672758286/415560151785208678105962\ 763*c_0101_6^12 + 193042931135691650860714633/415560151785208678105\ 962763*c_0101_6^11 - 36938198072921053585234666149/4155601517852086\ 78105962763*c_0101_6^10 + 12131719056946316485413815870/41556015178\ 5208678105962763*c_0101_6^9 + 195444584144438239768786044714/415560\ 151785208678105962763*c_0101_6^8 - 143679407446884858371439335457/415560151785208678105962763*c_0101_6\ ^7 - 16748900062301751696640793167/415560151785208678105962763*c_01\ 01_6^6 + 196414825131604617697608736084/415560151785208678105962763\ *c_0101_6^5 - 165476689033513143384800648050/4155601517852086781059\ 62763*c_0101_6^4 - 13721103702371662192850891544/415560151785208678\ 105962763*c_0101_6^3 + 33006563226663229499471055735/41556015178520\ 8678105962763*c_0101_6^2 - 24160488982149519396939616/4155601517852\ 08678105962763*c_0101_6 - 1743003399724183506372073927/415560151785\ 208678105962763, c_0101_6^15 - 5*c_0101_6^14 + 35*c_0101_6^13 - 4*c_0101_6^12 - 798*c_0101_6^11 + 455*c_0101_6^10 + 4163*c_0101_6^9 - 4123*c_0101_6^8 + 327*c_0101_6^7 + 4354*c_0101_6^6 - 4586*c_0101_6^5 + 499*c_0101_6^4 + 831*c_0101_6^3 - 172*c_0101_6^2 - 36*c_0101_6 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.230 seconds, Total memory usage: 32.09MB