Magma V2.19-8 Tue Aug 20 2013 23:43:23 on localhost [Seed = 2134448728] Type ? for help. Type -D to quit. Loading file "K13n1192__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n1192 geometric_solution 11.08879537 oriented_manifold CS_known -0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 1 0132 0132 0132 2031 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 0 1 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 0.589337924321 0.607570709964 0 0 5 4 0132 1302 0132 0132 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 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.177432364144 0.848016022533 6 0 6 7 0132 0132 3012 0132 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 9 1 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.694329488728 0.815931270177 8 9 7 0 0132 0132 3201 0132 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 0 0 0 0.431273732284 0.733575145605 10 11 1 8 0132 0132 0132 1023 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 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.468480198518 0.845601535094 11 7 10 1 2103 0321 1023 0132 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 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 0.263689067197 1.241268546550 2 2 8 9 0132 1230 2310 2310 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 1 -1 0 0 0 0 -9 10 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.402633362451 1.074755786789 3 11 2 5 2310 1302 0132 0321 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 0.439672619059 0.687733429906 3 6 10 4 0132 3201 0132 1023 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.201647676793 1.078300629493 6 3 11 10 3201 0132 1302 0321 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 1 0 0 -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 -0.604902369788 0.710842282989 4 9 5 8 0132 0321 1023 0132 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 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.635339674046 0.576213363497 9 4 5 7 2031 0132 2103 2031 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 0 1.001414079358 0.514168967121 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_5'], 'c_1001_10' : d['c_0101_11'], 'c_1001_5' : d['c_0101_10'], 'c_1001_4' : d['c_0011_7'], 'c_1001_7' : d['c_0110_11'], 'c_1001_6' : negation(d['c_0101_10']), 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_0110_11'], 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_0110_11'], 'c_1001_8' : negation(d['c_0101_6']), 'c_1010_11' : d['c_0011_7'], 'c_1010_10' : negation(d['c_0101_6']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0101_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0011_7']), 'c_1100_3' : negation(d['c_0011_7']), 'c_1100_2' : d['c_0101_10'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_1']), 'c_1100_10' : negation(d['c_1100_1']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_0110_11'], 'c_1010_2' : d['c_0110_11'], 'c_1010_1' : d['c_0011_7'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0101_6']), 'c_1010_8' : d['c_0101_10'], 'c_1100_8' : negation(d['c_1100_1']), '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'], 's_1_7' : d['1'], 's_1_6' : negation(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' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], '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_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0101_0'], 'c_0011_11' : d['c_0011_10'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : d['c_0101_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0011_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0011_5']), 'c_0110_6' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_5, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_6, c_0110_11, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 4382855237428/569063605187*c_1100_1^9 - 96408652263250/3983445236309*c_1100_1^8 - 85896615555788/3983445236309*c_1100_1^7 - 141444446741536/3983445236309*c_1100_1^6 - 14696138562043/3983445236309*c_1100_1^5 + 251840893772285/3983445236309*c_1100_1^4 + 33625507074563/362131385119*c_1100_1^3 + 389910530794461/3983445236309*c_1100_1^2 + 422011647718322/3983445236309*c_1100_1 + 129408747128018/3983445236309, c_0011_0 - 1, c_0011_10 - 3092018692/1055776633*c_1100_1^9 - 10245100993/1055776633*c_1100_1^8 - 7095192648/1055776633*c_1100_1^7 - 4397482298/1055776633*c_1100_1^6 + 4609953375/1055776633*c_1100_1^5 + 26894489305/1055776633*c_1100_1^4 + 30546094061/1055776633*c_1100_1^3 + 5756481286/1055776633*c_1100_1^2 + 920465591/1055776633*c_1100_1 + 1697885104/1055776633, c_0011_3 - 4763399606/1055776633*c_1100_1^9 - 15382613578/1055776633*c_1100_1^8 - 9345978470/1055776633*c_1100_1^7 - 5178033703/1055776633*c_1100_1^6 + 8127811573/1055776633*c_1100_1^5 + 41591133965/1055776633*c_1100_1^4 + 42538339238/1055776633*c_1100_1^3 + 3391272489/1055776633*c_1100_1^2 - 1799466678/1055776633*c_1100_1 + 1574532625/1055776633, c_0011_5 - 969878070/1055776633*c_1100_1^9 - 2837967363/1055776633*c_1100_1^8 - 1312312949/1055776633*c_1100_1^7 - 1629047126/1055776633*c_1100_1^6 + 1390578677/1055776633*c_1100_1^5 + 7855825507/1055776633*c_1100_1^4 + 6769321607/1055776633*c_1100_1^3 + 1148807537/1055776633*c_1100_1^2 + 2469018978/1055776633*c_1100_1 + 160958350/1055776633, c_0011_7 - 803678456/1055776633*c_1100_1^9 - 3594852153/1055776633*c_1100_1^8 - 5012683781/1055776633*c_1100_1^7 - 3455724098/1055776633*c_1100_1^6 + 396703/1055776633*c_1100_1^5 + 8479816437/1055776633*c_1100_1^4 + 16147153863/1055776633*c_1100_1^3 + 11541365442/1055776633*c_1100_1^2 + 1608144659/1055776633*c_1100_1 - 255101899/1055776633, c_0101_0 - 1883389067/1055776633*c_1100_1^9 - 6851215716/1055776633*c_1100_1^8 - 6108343946/1055776633*c_1100_1^7 - 3467187893/1055776633*c_1100_1^6 + 2008476171/1055776633*c_1100_1^5 + 17639376615/1055776633*c_1100_1^4 + 23607310152/1055776633*c_1100_1^3 + 8465130895/1055776633*c_1100_1^2 + 668527095/1055776633*c_1100_1 + 302764727/1055776633, c_0101_1 - 2492272930/1055776633*c_1100_1^9 - 7947384952/1055776633*c_1100_1^8 - 4947235221/1055776633*c_1100_1^7 - 3623357814/1055776633*c_1100_1^6 + 3897873681/1055776633*c_1100_1^5 + 21243873889/1055776633*c_1100_1^4 + 22688283951/1055776633*c_1100_1^3 + 4199886230/1055776633*c_1100_1^2 + 1169843471/1055776633*c_1100_1 + 487864098/1055776633, c_0101_10 - 1405528138/1055776633*c_1100_1^9 - 4436996612/1055776633*c_1100_1^8 - 2759364142/1055776633*c_1100_1^7 - 2134916588/1055776633*c_1100_1^6 + 2254465680/1055776633*c_1100_1^5 + 11260696905/1055776633*c_1100_1^4 + 12819783943/1055776633*c_1100_1^3 + 2432064618/1055776633*c_1100_1^2 + 1597005607/1055776633*c_1100_1 + 265790642/1055776633, c_0101_11 - 3092018692/1055776633*c_1100_1^9 - 10245100993/1055776633*c_1100_1^8 - 7095192648/1055776633*c_1100_1^7 - 4397482298/1055776633*c_1100_1^6 + 4609953375/1055776633*c_1100_1^5 + 26894489305/1055776633*c_1100_1^4 + 30546094061/1055776633*c_1100_1^3 + 5756481286/1055776633*c_1100_1^2 + 920465591/1055776633*c_1100_1 + 642108471/1055776633, c_0101_6 + 3208885414/1055776633*c_1100_1^9 + 10917521970/1055776633*c_1100_1^8 + 7970750778/1055776633*c_1100_1^7 + 4256876398/1055776633*c_1100_1^6 - 4862782699/1055776633*c_1100_1^5 - 29021840782/1055776633*c_1100_1^4 - 33645272462/1055776633*c_1100_1^3 - 6375495361/1055776633*c_1100_1^2 + 919938890/1055776633*c_1100_1 - 703223577/1055776633, c_0110_11 - 248843084/1055776633*c_1100_1^9 - 2015433750/1055776633*c_1100_1^8 - 3836158944/1055776633*c_1100_1^7 - 1200802505/1055776633*c_1100_1^6 - 656711855/1055776633*c_1100_1^5 + 5191850694/1055776633*c_1100_1^4 + 11932421743/1055776633*c_1100_1^3 + 6927653615/1055776633*c_1100_1^2 - 1637416709/1055776633*c_1100_1 - 433876113/1055776633, c_1100_1^10 + 25/7*c_1100_1^9 + 22/7*c_1100_1^8 + 2*c_1100_1^7 - 8/7*c_1100_1^6 - 64/7*c_1100_1^5 - 85/7*c_1100_1^4 - 31/7*c_1100_1^3 - 4/7*c_1100_1^2 - 2/7*c_1100_1 - 1/7 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_5, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_6, c_0110_11, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 36957478146661603/16119652282315200*c_1100_1^10 - 5817658335664931/251869566911175*c_1100_1^9 + 179615428491764049/1791072475812800*c_1100_1^8 - 4366813885129384783/16119652282315200*c_1100_1^7 + 18179182239515933/28280091723360*c_1100_1^6 - 102617475642914749/89553623790640*c_1100_1^5 + 281285309085596513/167913044607450*c_1100_1^4 - 16692955766175299593/5373217427438400*c_1100_1^3 + 34716952060842598837/8059826141157600*c_1100_1^2 - 3074492431737665917/805982614115760*c_1100_1 + 1756414178553086567/2014956535289400, c_0011_0 - 1, c_0011_10 - 1, c_0011_3 - 287515165189/26866087137192*c_1100_1^10 + 1392996957649/13433043568596*c_1100_1^9 - 3818258100945/8955362379064*c_1100_1^8 + 29189121748567/26866087137192*c_1100_1^7 - 5681920191101/2238840594766*c_1100_1^6 + 9546432317349/2238840594766*c_1100_1^5 - 345757952208/58916857757*c_1100_1^4 + 106114995838047/8955362379064*c_1100_1^3 - 49698958098532/3358260892149*c_1100_1^2 + 72237610253687/6716521784298*c_1100_1 + 595593170701/3358260892149, c_0011_5 - 97972949689/26866087137192*c_1100_1^10 + 122992013059/3358260892149*c_1100_1^9 - 74279432303/471334862056*c_1100_1^8 + 11245512449989/26866087137192*c_1100_1^7 - 4397792769283/4477681189532*c_1100_1^6 + 102206352906/58916857757*c_1100_1^5 - 2779236940859/1119420297383*c_1100_1^4 + 42518778454491/8955362379064*c_1100_1^3 - 91289239037155/13433043568596*c_1100_1^2 + 16718006476732/3358260892149*c_1100_1 - 2559800015090/3358260892149, c_0011_7 - 2543382013/1414004586168*c_1100_1^10 + 223592452651/13433043568596*c_1100_1^9 - 602024368827/8955362379064*c_1100_1^8 + 4791705913897/26866087137192*c_1100_1^7 - 491836785790/1119420297383*c_1100_1^6 + 1614582262915/2238840594766*c_1100_1^5 - 2511744622653/2238840594766*c_1100_1^4 + 19496322783473/8955362379064*c_1100_1^3 - 798190347779/353501146542*c_1100_1^2 + 7969369277641/3358260892149*c_1100_1 - 1491594902642/3358260892149, c_0101_0 + 43197036715/26866087137192*c_1100_1^10 - 95349934523/6716521784298*c_1100_1^9 + 456966486355/8955362379064*c_1100_1^8 - 2983064157559/26866087137192*c_1100_1^7 + 1149735673615/4477681189532*c_1100_1^6 - 853928533847/2238840594766*c_1100_1^5 + 1174325692615/2238840594766*c_1100_1^4 - 11581465613789/8955362379064*c_1100_1^3 + 17063543176153/13433043568596*c_1100_1^2 - 1102602958399/3358260892149*c_1100_1 - 2364231364795/3358260892149, c_0101_1 + 6584158877/3358260892149*c_1100_1^10 - 272277371515/13433043568596*c_1100_1^9 + 201984301953/2238840594766*c_1100_1^8 - 3278407059305/13433043568596*c_1100_1^7 + 2497981482587/4477681189532*c_1100_1^6 - 1090253828359/1119420297383*c_1100_1^5 + 1546614882103/1119420297383*c_1100_1^4 - 2828090951445/1119420297383*c_1100_1^3 + 51495304112263/13433043568596*c_1100_1^2 - 9724167065719/3358260892149*c_1100_1 + 739688207153/3358260892149, c_0101_10 - 23869928155/3358260892149*c_1100_1^10 + 12497064272/176750573271*c_1100_1^9 - 675621873611/2238840594766*c_1100_1^8 + 2686371199516/3358260892149*c_1100_1^7 - 4216842155831/2238840594766*c_1100_1^6 + 7348240563601/2238840594766*c_1100_1^5 - 5242505404017/1119420297383*c_1100_1^4 + 9879590297004/1119420297383*c_1100_1^3 - 39916423467647/3358260892149*c_1100_1^2 + 3357315656779/353501146542*c_1100_1 - 2315313746749/3358260892149, c_0101_11 - 51846403147/8955362379064*c_1100_1^10 + 133219364423/2238840594766*c_1100_1^9 - 2361510993693/8955362379064*c_1100_1^8 + 6461933770347/8955362379064*c_1100_1^7 - 7628175065209/4477681189532*c_1100_1^6 + 3455347535690/1119420297383*c_1100_1^5 - 5077140116695/1119420297383*c_1100_1^4 + 73393148653747/8955362379064*c_1100_1^3 - 52059617984839/4477681189532*c_1100_1^2 + 11629348726593/1119420297383*c_1100_1 - 869964783338/1119420297383, c_0101_6 - 96555739949/26866087137192*c_1100_1^10 + 443220072977/13433043568596*c_1100_1^9 - 1115770606501/8955362379064*c_1100_1^8 + 7698152152439/26866087137192*c_1100_1^7 - 732539017635/1119420297383*c_1100_1^6 + 1099095876874/1119420297383*c_1100_1^5 - 1326895687935/1119420297383*c_1100_1^4 + 27078273462015/8955362379064*c_1100_1^3 - 9782534630885/3358260892149*c_1100_1^2 + 4224306387443/3358260892149*c_1100_1 + 2910906917450/3358260892149, c_0110_11 - 287515165189/26866087137192*c_1100_1^10 + 1392996957649/13433043568596*c_1100_1^9 - 3818258100945/8955362379064*c_1100_1^8 + 29189121748567/26866087137192*c_1100_1^7 - 5681920191101/2238840594766*c_1100_1^6 + 9546432317349/2238840594766*c_1100_1^5 - 345757952208/58916857757*c_1100_1^4 + 106114995838047/8955362379064*c_1100_1^3 - 49698958098532/3358260892149*c_1100_1^2 + 72237610253687/6716521784298*c_1100_1 + 595593170701/3358260892149, c_1100_1^11 - 10*c_1100_1^10 + 43*c_1100_1^9 - 115*c_1100_1^8 + 272*c_1100_1^7 - 480*c_1100_1^6 + 696*c_1100_1^5 - 1305*c_1100_1^4 + 1784*c_1100_1^3 - 1536*c_1100_1^2 + 272*c_1100_1 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.030 Total time: 1.240 seconds, Total memory usage: 32.09MB