Magma V2.19-8 Fri Sep 13 2013 01:01:35 on localhost [Seed = 2814863871] Type ? for help. Type -D to quit. Loading file "m148__sl3_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation m148 geometric_solution 3.75884495 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 4 1 2 1 3 0132 0132 1023 0132 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 1 0 -1 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 1.091020400167 0.755224694924 0 2 0 3 0132 0321 1023 1230 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 -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 0.650847936816 0.540756288275 3 0 3 1 3012 0132 2310 0321 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 -1 0 1 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 0.760689853402 0.857873626595 1 2 0 2 3012 3201 0132 1230 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 -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 0.760689853402 0.857873626595 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1020_2' : d['c_0102_1'], 'c_1020_3' : d['c_0102_2'], 'c_1020_0' : d['c_0201_2'], 'c_1020_1' : d['c_0102_1'], 'c_0201_0' : d['c_0021_3'], 'c_0201_1' : d['c_0201_1'], 'c_0201_2' : d['c_0201_2'], 'c_0201_3' : d['c_0201_1'], 'c_2100_0' : d['c_0012_1'], 'c_2100_1' : d['c_0012_0'], 'c_2100_2' : d['c_0021_3'], 'c_2100_3' : d['c_0012_1'], 'c_2010_2' : d['c_0201_1'], 'c_2010_3' : d['c_0201_2'], 'c_2010_0' : d['c_0102_2'], 'c_2010_1' : d['c_0201_1'], 'c_0102_0' : d['c_0012_3'], 'c_0102_1' : d['c_0102_1'], 'c_0102_2' : d['c_0102_2'], 'c_0102_3' : d['c_0102_1'], 'c_1101_0' : d['c_1101_0'], 'c_1101_1' : negation(d['c_1101_0']), 'c_1101_2' : d['c_1011_3'], 'c_1101_3' : d['c_1101_3'], 'c_1200_2' : d['c_0012_3'], 'c_1200_3' : d['c_0012_0'], 'c_1200_0' : d['c_0012_0'], 'c_1200_1' : d['c_0012_1'], 'c_1110_2' : negation(d['c_1011_1']), 'c_1110_3' : d['c_0111_2'], 'c_1110_0' : d['c_1101_3'], 'c_1110_1' : d['c_0111_3'], 'c_0120_0' : d['c_0102_1'], 'c_0120_1' : d['c_0012_3'], 'c_0120_2' : d['c_0012_0'], 'c_0120_3' : d['c_0012_1'], 'c_2001_0' : d['c_0201_1'], 'c_2001_1' : d['c_0021_3'], 'c_2001_2' : d['c_0102_2'], 'c_2001_3' : d['c_0102_2'], 'c_0012_2' : d['c_0012_1'], 'c_0012_3' : d['c_0012_3'], 'c_0012_0' : d['c_0012_0'], 'c_0012_1' : d['c_0012_1'], 'c_0111_0' : d['c_0111_0'], 'c_0111_1' : negation(d['c_0111_0']), 'c_0111_2' : d['c_0111_2'], 'c_0111_3' : d['c_0111_3'], 'c_0210_2' : d['c_0012_1'], 'c_0210_3' : d['c_0012_0'], 'c_0210_0' : d['c_0201_1'], 'c_0210_1' : d['c_0021_3'], 'c_1002_2' : d['c_0201_2'], 'c_1002_3' : d['c_0201_2'], 'c_1002_0' : d['c_0102_1'], 'c_1002_1' : d['c_0012_3'], 'c_1011_2' : negation(d['c_1011_0']), 'c_1011_3' : d['c_1011_3'], 'c_1011_0' : d['c_1011_0'], 'c_1011_1' : d['c_1011_1'], 'c_0021_0' : d['c_0012_1'], 'c_0021_1' : d['c_0012_0'], 'c_0021_2' : d['c_0012_0'], 'c_0021_3' : d['c_0021_3']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY_DECOMPOSITION_TIME: 65.730 PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 17 over Rational Field Order: Lexicographical Variables: t, c_0012_0, c_0012_1, c_0012_3, c_0021_3, c_0102_1, c_0102_2, c_0111_0, c_0111_2, c_0111_3, c_0201_1, c_0201_2, c_1011_0, c_1011_1, c_1011_3, c_1101_0, c_1101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 1/32, c_0012_0 - 1, c_0012_1 - 1, c_0012_3 - 5*c_1101_3 + 5, c_0021_3 + 5*c_1101_3, c_0102_1 - 5*c_1101_3 + 4, c_0102_2 + 5*c_1101_3 - 3, c_0111_0 - 1, c_0111_2 + 2/3*c_1101_3 - 1/3, c_0111_3 + 1, c_0201_1 + 5*c_1101_3 - 1, c_0201_2 - 5*c_1101_3 + 2, c_1011_0 + c_1101_3 - 1, c_1011_1 + 1, c_1011_3 - 10/3*c_1101_3 + 5/3, c_1101_0 - 1, c_1101_3^2 - c_1101_3 + 2/5 ], Ideal of Polynomial ring of rank 17 over Rational Field Order: Lexicographical Variables: t, c_0012_0, c_0012_1, c_0012_3, c_0021_3, c_0102_1, c_0102_2, c_0111_0, c_0111_2, c_0111_3, c_0201_1, c_0201_2, c_1011_0, c_1011_1, c_1011_3, c_1101_0, c_1101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 15/4*c_1101_3^2 - 9/4*c_1101_3 - 19/4, c_0012_0 - 1, c_0012_1 - 1, c_0012_3 - 2*c_1101_3^2 - 3, c_0021_3 - 2*c_1101_3^2 - 3, c_0102_1 - 2*c_1101_3^2 - 2, c_0102_2 - 2*c_1101_3^2 - 2*c_1101_3 - 1, c_0111_0 - 1, c_0111_2 - c_1101_3^2 - c_1101_3 - 1/2, c_0111_3 - 1, c_0201_1 - 2*c_1101_3^2 - 2, c_0201_2 - 2*c_1101_3^2 - 2*c_1101_3 - 1, c_1011_0 + c_1101_3, c_1011_1 + 1, c_1011_3 - c_1101_3^2 + 1/2, c_1101_0 + 1, c_1101_3^3 + c_1101_3^2 + 3/2*c_1101_3 + 1/2 ], Ideal of Polynomial ring of rank 17 over Rational Field Order: Lexicographical Variables: t, c_0012_0, c_0012_1, c_0012_3, c_0021_3, c_0102_1, c_0102_2, c_0111_0, c_0111_2, c_0111_3, c_0201_1, c_0201_2, c_1011_0, c_1011_1, c_1011_3, c_1101_0, c_1101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 14868667094009335/5460482371570076*c_1101_3^9 - 322639137607054895/16381447114710228*c_1101_3^8 - 397256784437314897/5460482371570076*c_1101_3^7 - 85174875410799925/431090713545006*c_1101_3^6 - 1309187534203126545/5460482371570076*c_1101_3^5 + 407547681291188467/8190723557355114*c_1101_3^4 + 540449445073936537/16381447114710228*c_1101_3^3 - 183317904089970415/8190723557355114*c_1101_3^2 - 673226131287542495/16381447114710228*c_1101_3 + 46517274396970570/4095361778677557, c_0012_0 - 1, c_0012_1 - 1, c_0012_3 - 28835279812005/71848452257501*c_1101_3^9 - 216032098165650/71848452257501*c_1101_3^8 - 823748447401761/71848452257501*c_1101_3^7 - 2289772847768676/71848452257501*c_1101_3^6 - 3081156614208935/71848452257501*c_1101_3^5 - 142733401658288/71848452257501*c_1101_3^4 + 392977843002839/71848452257501*c_1101_3^3 - 251065658237982/71848452257501*c_1101_3^2 - 225691458379659/71848452257501*c_1101_3 + 83816101478681/71848452257501, c_0021_3 + 36213195138760/71848452257501*c_1101_3^9 + 250330458620120/71848452257501*c_1101_3^8 + 879298803560882/71848452257501*c_1101_3^7 + 2286522761474236/71848452257501*c_1101_3^6 + 2228800817450381/71848452257501*c_1101_3^5 - 2017887476533141/71848452257501*c_1101_3^4 - 686689603848352/71848452257501*c_1101_3^3 + 294760826600753/71848452257501*c_1101_3^2 + 203917197783887/71848452257501*c_1101_3 - 302614652900663/71848452257501, c_0102_1 - 22280303561010/71848452257501*c_1101_3^9 - 168447691582860/71848452257501*c_1101_3^8 - 649310626657407/71848452257501*c_1101_3^7 - 1824354955485679/71848452257501*c_1101_3^6 - 2548482158930054/71848452257501*c_1101_3^5 - 408567409770307/71848452257501*c_1101_3^4 + 87985335175845/71848452257501*c_1101_3^3 - 242606654927687/71848452257501*c_1101_3^2 - 195520090712360/71848452257501*c_1101_3 + 28386639230512/71848452257501, c_0102_2 + 19223416569345/71848452257501*c_1101_3^9 + 138547848233055/71848452257501*c_1101_3^8 + 513816610115339/71848452257501*c_1101_3^7 + 1407767369604875/71848452257501*c_1101_3^6 + 1749805184593452/71848452257501*c_1101_3^5 - 148410184454556/71848452257501*c_1101_3^4 + 37962913925176/71848452257501*c_1101_3^3 + 38905046608447/71848452257501*c_1101_3^2 + 295163297575422/71848452257501*c_1101_3 - 43113758080719/71848452257501, c_0111_0 - 1, c_0111_2 - 2856779295135/71848452257501*c_1101_3^9 - 21357171476720/71848452257501*c_1101_3^8 - 83132376513617/71848452257501*c_1101_3^7 - 236130887197771/71848452257501*c_1101_3^6 - 337645000659558/71848452257501*c_1101_3^5 - 97646200313209/71848452257501*c_1101_3^4 - 16520206731085/71848452257501*c_1101_3^3 + 34017063934174/71848452257501*c_1101_3^2 - 10476598178437/71848452257501*c_1101_3 - 11472136891786/71848452257501, c_0111_3 - 6554976250995/71848452257501*c_1101_3^9 - 47584406582790/71848452257501*c_1101_3^8 - 174437820744354/71848452257501*c_1101_3^7 - 465417892282997/71848452257501*c_1101_3^6 - 532674455278881/71848452257501*c_1101_3^5 + 265834008112019/71848452257501*c_1101_3^4 + 304992507826994/71848452257501*c_1101_3^3 - 8459003310295/71848452257501*c_1101_3^2 - 30171367667299/71848452257501*c_1101_3 + 55429462248169/71848452257501, c_0201_1 - 2692849192590/71848452257501*c_1101_3^9 - 18300303784880/71848452257501*c_1101_3^8 - 62044976492683/71848452257501*c_1101_3^7 - 153084403111084/71848452257501*c_1101_3^6 - 112184926571208/71848452257501*c_1101_3^5 + 254458725661675/71848452257501*c_1101_3^4 + 119510124169722/71848452257501*c_1101_3^3 - 174812994907559/71848452257501*c_1101_3^2 - 232561992803140/71848452257501*c_1101_3 + 80153294232446/71848452257501, c_0201_2 - 7972909685890/71848452257501*c_1101_3^9 - 62548217714785/71848452257501*c_1101_3^8 - 251618195397528/71848452257501*c_1101_3^7 - 734578870120100/71848452257501*c_1101_3^6 - 1158529417439221/71848452257501*c_1101_3^5 - 578856801001265/71848452257501*c_1101_3^4 - 266309853787809/71848452257501*c_1101_3^3 - 188648031207189/71848452257501*c_1101_3^2 - 182220944261367/71848452257501*c_1101_3 - 52030277118893/71848452257501, c_1011_0 - 2571044003355/71848452257501*c_1101_3^9 - 18197894014945/71848452257501*c_1101_3^8 - 66173411227201/71848452257501*c_1101_3^7 - 176592366959765/71848452257501*c_1101_3^6 - 196654542185943/71848452257501*c_1101_3^5 + 96184023088269/71848452257501*c_1101_3^4 + 93993139033956/71848452257501*c_1101_3^3 + 71402028688463/71848452257501*c_1101_3^2 - 18259028647842/71848452257501*c_1101_3 - 17619520715342/71848452257501, c_1011_1 + 1, c_1011_3 - 9594629208690/71848452257501*c_1101_3^9 - 72058042789820/71848452257501*c_1101_3^8 - 278742551867553/71848452257501*c_1101_3^7 - 788719168509352/71848452257501*c_1101_3^6 - 1117419125745251/71848452257501*c_1101_3^5 - 277848629493406/71848452257501*c_1101_3^4 - 101520412021704/71848452257501*c_1101_3^3 - 58907291845225/71848452257501*c_1101_3^2 - 186976531481705/71848452257501*c_1101_3 + 18824919914596/71848452257501, c_1101_0 + 6554976250995/71848452257501*c_1101_3^9 + 47584406582790/71848452257501*c_1101_3^8 + 174437820744354/71848452257501*c_1101_3^7 + 465417892282997/71848452257501*c_1101_3^6 + 532674455278881/71848452257501*c_1101_3^5 - 265834008112019/71848452257501*c_1101_3^4 - 304992507826994/71848452257501*c_1101_3^3 + 8459003310295/71848452257501*c_1101_3^2 + 30171367667299/71848452257501*c_1101_3 - 55429462248169/71848452257501, c_1101_3^10 + 7*c_1101_3^9 + 126/5*c_1101_3^8 + 338/5*c_1101_3^7 + 76*c_1101_3^6 - 126/5*c_1101_3^5 + 54/5*c_1101_3^4 + 13*c_1101_3^3 + 56/5*c_1101_3^2 - 33/5*c_1101_3 + 19/5 ], Ideal of Polynomial ring of rank 17 over Rational Field Order: Lexicographical Variables: t, c_0012_0, c_0012_1, c_0012_3, c_0021_3, c_0102_1, c_0102_2, c_0111_0, c_0111_2, c_0111_3, c_0201_1, c_0201_2, c_1011_0, c_1011_1, c_1011_3, c_1101_0, c_1101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 6774228223499/576219458*c_1101_3^11 - 38470124539187/1152438916*c_1101_3^10 + 2401836045037/1152438916*c_1101_3^9 + 12442442261029/288109729*c_1101_3^8 - 3077306636051/1152438916*c_1101_3^7 + 60926197103127/1152438916*c_1101_3^6 - 65920470502067/288109729*c_1101_3^5 + 329430507615655/1152438916*c_1101_3^4 - 66938394988527/288109729*c_1101_3^3 + 118708129841599/1152438916*c_1101_3^2 + 2777853881623/288109729*c_1101_3 - 3537669044627/576219458, c_0012_0 - 1, c_0012_1 - 3120532052/288109729*c_1101_3^11 + 9933170291/288109729*c_1101_3^10 - 3489976757/576219458*c_1101_3^9 - 27847542027/576219458*c_1101_3^8 + 1204942667/288109729*c_1101_3^7 - 12238228020/288109729*c_1101_3^6 + 136099542103/576219458*c_1101_3^5 - 84993913080/288109729*c_1101_3^4 + 68176206188/288109729*c_1101_3^3 - 62563067209/576219458*c_1101_3^2 - 4838486980/288109729*c_1101_3 + 1817003622/288109729, c_0012_3 - 6993601065/576219458*c_1101_3^11 + 20917462071/576219458*c_1101_3^10 - 1380805318/288109729*c_1101_3^9 - 27705965627/576219458*c_1101_3^8 + 1303390912/288109729*c_1101_3^7 - 14927324717/288109729*c_1101_3^6 + 71595407087/288109729*c_1101_3^5 - 90569348734/288109729*c_1101_3^4 + 73869465169/288109729*c_1101_3^3 - 34372519878/288109729*c_1101_3^2 - 5333983617/576219458*c_1101_3 + 1652738215/288109729, c_0021_3 - 6993601065/576219458*c_1101_3^11 + 20917462071/576219458*c_1101_3^10 - 1380805318/288109729*c_1101_3^9 - 27705965627/576219458*c_1101_3^8 + 1303390912/288109729*c_1101_3^7 - 14927324717/288109729*c_1101_3^6 + 71595407087/288109729*c_1101_3^5 - 90569348734/288109729*c_1101_3^4 + 73869465169/288109729*c_1101_3^3 - 34372519878/288109729*c_1101_3^2 - 5333983617/576219458*c_1101_3 + 1652738215/288109729, c_0102_1 + 31670562/288109729*c_1101_3^11 - 1688862769/576219458*c_1101_3^10 + 2274689027/576219458*c_1101_3^9 + 3115255411/576219458*c_1101_3^8 - 967223158/288109729*c_1101_3^7 - 1023614522/288109729*c_1101_3^6 - 5433720431/288109729*c_1101_3^5 + 18200149477/576219458*c_1101_3^4 - 7589086512/288109729*c_1101_3^3 + 4892228511/288109729*c_1101_3^2 + 1144996975/576219458*c_1101_3 - 1212001373/576219458, c_0102_2 + 2641987667/576219458*c_1101_3^11 - 876385774/288109729*c_1101_3^10 - 4018843759/288109729*c_1101_3^9 - 406909041/288109729*c_1101_3^8 + 3113580202/288109729*c_1101_3^7 + 19732622909/576219458*c_1101_3^6 - 15103395741/576219458*c_1101_3^5 + 972121586/288109729*c_1101_3^4 + 3305338505/576219458*c_1101_3^3 - 14833865171/576219458*c_1101_3^2 + 834114381/576219458*c_1101_3 + 286563874/288109729, c_0111_0 - 1, c_0111_2 - 22579912465/1152438916*c_1101_3^11 + 16863338371/576219458*c_1101_3^10 + 38811480425/1152438916*c_1101_3^9 - 25850164191/1152438916*c_1101_3^8 - 6602387487/288109729*c_1101_3^7 - 71005497971/576219458*c_1101_3^6 + 61409495574/288109729*c_1101_3^5 - 116768591933/576219458*c_1101_3^4 + 167509947505/1152438916*c_1101_3^3 - 8678054927/1152438916*c_1101_3^2 - 1899904589/576219458*c_1101_3 + 353715719/1152438916, c_0111_3 + 7640430501/576219458*c_1101_3^11 - 6514742322/288109729*c_1101_3^10 - 11452895035/576219458*c_1101_3^9 + 12717198433/576219458*c_1101_3^8 + 4103491237/288109729*c_1101_3^7 + 22537229389/288109729*c_1101_3^6 - 47078012608/288109729*c_1101_3^5 + 46028050743/288109729*c_1101_3^4 - 64404344557/576219458*c_1101_3^3 + 6869939959/576219458*c_1101_3^2 + 3502257703/288109729*c_1101_3 - 1028873689/576219458, c_0201_1 + 31670562/288109729*c_1101_3^11 - 1688862769/576219458*c_1101_3^10 + 2274689027/576219458*c_1101_3^9 + 3115255411/576219458*c_1101_3^8 - 967223158/288109729*c_1101_3^7 - 1023614522/288109729*c_1101_3^6 - 5433720431/288109729*c_1101_3^5 + 18200149477/576219458*c_1101_3^4 - 7589086512/288109729*c_1101_3^3 + 4892228511/288109729*c_1101_3^2 + 1144996975/576219458*c_1101_3 - 1212001373/576219458, c_0201_2 + 2641987667/576219458*c_1101_3^11 - 876385774/288109729*c_1101_3^10 - 4018843759/288109729*c_1101_3^9 - 406909041/288109729*c_1101_3^8 + 3113580202/288109729*c_1101_3^7 + 19732622909/576219458*c_1101_3^6 - 15103395741/576219458*c_1101_3^5 + 972121586/288109729*c_1101_3^4 + 3305338505/576219458*c_1101_3^3 - 14833865171/576219458*c_1101_3^2 + 834114381/576219458*c_1101_3 + 286563874/288109729, c_1011_0 + c_1101_3, c_1011_1 - 7640430501/576219458*c_1101_3^11 + 6514742322/288109729*c_1101_3^10 + 11452895035/576219458*c_1101_3^9 - 12717198433/576219458*c_1101_3^8 - 4103491237/288109729*c_1101_3^7 - 22537229389/288109729*c_1101_3^6 + 47078012608/288109729*c_1101_3^5 - 46028050743/288109729*c_1101_3^4 + 64404344557/576219458*c_1101_3^3 - 6869939959/576219458*c_1101_3^2 - 3502257703/288109729*c_1101_3 + 1028873689/576219458, c_1011_3 + 28808089431/1152438916*c_1101_3^11 - 22901632391/576219458*c_1101_3^10 - 49375529367/1152438916*c_1101_3^9 + 39620487685/1152438916*c_1101_3^8 + 9440488487/288109729*c_1101_3^7 + 90671252647/576219458*c_1101_3^6 - 82316469034/288109729*c_1101_3^5 + 152924747465/576219458*c_1101_3^4 - 219728052655/1152438916*c_1101_3^3 + 5854436665/1152438916*c_1101_3^2 + 6419366049/576219458*c_1101_3 - 1554591069/1152438916, c_1101_0 + 1, c_1101_3^12 - 3*c_1101_3^11 + 7/11*c_1101_3^10 + 40/11*c_1101_3^9 - 9/11*c_1101_3^8 + 50/11*c_1101_3^7 - 222/11*c_1101_3^6 + 302/11*c_1101_3^5 - 261/11*c_1101_3^4 + 12*c_1101_3^3 - 7/11*c_1101_3^2 - 7/11*c_1101_3 + 1/11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ ], [ ], [ ], [ ] ] FREE=VARIABLES=IN=COMPONENTS=ENDS=HERE CPUTIME: 65.730 Total time: 65.939 seconds, Total memory usage: 291.75MB