Magma V2.19-8 Wed Aug 21 2013 00:08:13 on localhost [Seed = 998069275] Type ? for help. Type -D to quit. Loading file "K13n2333__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n2333 geometric_solution 12.20642263 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 1 0 -1 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 -1 1 0 2 0 -2 0 0 1 0 -1 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.239874743164 0.686166443159 0 5 6 2 0132 0132 0132 0213 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 -2 0 0 2 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.017936881922 1.108180772384 7 0 8 1 0132 0132 0132 0213 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 1 -1 0 0 0 1 -1 0 2 0 -2 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.565688939998 1.111032110176 9 6 8 0 0132 0213 3201 0132 0 0 0 0 0 0 0 0 0 0 -1 1 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 1 -1 0 0 -2 2 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.327176340945 1.049389639800 10 6 0 11 0132 0132 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 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 0.373218639396 0.751258776316 11 1 12 8 3012 0132 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 0.509649223444 1.040239879867 12 4 3 1 2310 0132 0213 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 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 0.202103652280 0.930687105811 2 11 12 10 0132 3012 0213 3012 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 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 0.971354962297 0.983235747136 3 5 10 2 2310 0321 3012 0132 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 -1 0 1 1 0 0 -1 2 0 0 -2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.291842125954 0.751688944722 3 11 12 10 0132 0132 1302 2103 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 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 0.391432107820 0.633036242204 4 8 7 9 0132 1230 1230 2103 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 0 1 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.932676492085 1.020868316806 7 9 4 5 1230 0132 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.565154840019 1.011826933802 9 7 6 5 2031 0213 3201 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 0 -1 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 0.448587257790 0.413596437093 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_8']), 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_0011_11']), 'c_1001_5' : negation(d['c_1001_10']), 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : negation(d['c_0101_8']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_8']), 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_12' : negation(d['c_1001_10']), 'c_1010_11' : d['c_0101_5'], 'c_1010_10' : d['c_0101_8'], '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' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], '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_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_1001_10']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : negation(d['c_0011_8']), 'c_1100_7' : negation(d['c_1001_10']), 'c_1100_6' : d['c_1001_0'], 'c_1100_1' : d['c_1001_0'], 'c_1100_0' : negation(d['c_0011_8']), 'c_1100_3' : negation(d['c_0011_8']), 'c_1100_2' : negation(d['c_1001_10']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_8']), 'c_1100_10' : d['c_0101_2'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_10']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_8']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_10']), 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : negation(d['c_0101_8']), 'c_1010_8' : d['c_1001_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'], 'c_1100_12' : negation(d['c_0011_10']), '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' : negation(d['c_0011_11']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_10'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_0'], 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : negation(d['c_0101_1']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_12'], 'c_0101_6' : d['c_0011_11'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_12']), 'c_0101_9' : negation(d['c_0011_12']), 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_2']), 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : negation(d['c_0011_12']), 'c_1100_9' : negation(d['c_0101_1']), 'c_0110_3' : negation(d['c_0011_12']), 'c_0110_2' : d['c_0011_12'], 'c_0110_5' : negation(d['c_0011_8']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_2'], '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_11, c_0011_12, c_0011_8, c_0101_1, c_0101_10, c_0101_2, c_0101_5, c_0101_8, c_1001_0, c_1001_1, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 90124110500302068908/13541620397509573425*c_1001_10^17 - 419636647929255596011/54166481590038293700*c_1001_10^16 - 110949850582503608431/859785422064099900*c_1001_10^15 - 439455306992871745417/2579356266192299700*c_1001_10^14 - 15398196705558309225799/27083240795019146850*c_1001_10^13 - 12871379320761509042113/18055493863346097900*c_1001_10^12 - 5865610822610716519249/3611098772669219580*c_1001_10^11 - 52692805341579356633159/27083240795019146850*c_1001_10^10 - 18924357820467797433599/6018497954448699300*c_1001_10^9 - 8602262906722402399453/2579356266192299700*c_1001_10^8 - 44549721909633564543953/10833296318007658740*c_1001_10^7 - 49809228623305159022636/13541620397509573425*c_1001_10^6 - 64555061817028398649253/18055493863346097900*c_1001_10^5 - 21206214997445964420283/7738068798576899100*c_1001_10^4 - 27634223995868099219068/13541620397509573425*c_1001_10^3 - 534223975077281039857/429892711032049950*c_1001_10^2 - 32659774398075527951411/54166481590038293700*c_1001_10 - 15047374010761611994543/54166481590038293700, c_0011_0 - 1, c_0011_10 + 10784276888379/70330095874364*c_1001_10^17 + 21581966880601/70330095874364*c_1001_10^16 + 111660446519435/35165047937182*c_1001_10^15 + 224576748954721/35165047937182*c_1001_10^14 + 603699686292027/35165047937182*c_1001_10^13 + 1889154901929781/70330095874364*c_1001_10^12 + 892940339474560/17582523968591*c_1001_10^11 + 2497456220963299/35165047937182*c_1001_10^10 + 7218453813911729/70330095874364*c_1001_10^9 + 2099068862825661/17582523968591*c_1001_10^8 + 9232912212833329/70330095874364*c_1001_10^7 + 8528650535288359/70330095874364*c_1001_10^6 + 3466375484625075/35165047937182*c_1001_10^5 + 4970521792934491/70330095874364*c_1001_10^4 + 2889159683089993/70330095874364*c_1001_10^3 + 1677723734046091/70330095874364*c_1001_10^2 + 160763279131342/17582523968591*c_1001_10 + 342551314496177/70330095874364, c_0011_11 + 2363430589662/17582523968591*c_1001_10^17 + 18436837008987/70330095874364*c_1001_10^16 + 48938145130217/17582523968591*c_1001_10^15 + 194712275245205/35165047937182*c_1001_10^14 + 266130714013427/17582523968591*c_1001_10^13 + 853188540996387/35165047937182*c_1001_10^12 + 3277796008536863/70330095874364*c_1001_10^11 + 4559902690808231/70330095874364*c_1001_10^10 + 6732532901358981/70330095874364*c_1001_10^9 + 3936465069300309/35165047937182*c_1001_10^8 + 4500130025737261/35165047937182*c_1001_10^7 + 8242212809697739/70330095874364*c_1001_10^6 + 3512661124729503/35165047937182*c_1001_10^5 + 1218205458430164/17582523968591*c_1001_10^4 + 2984942435803619/70330095874364*c_1001_10^3 + 382424534426643/17582523968591*c_1001_10^2 + 686859560778915/70330095874364*c_1001_10 + 303520503311819/70330095874364, c_0011_12 - 11900918141761/70330095874364*c_1001_10^17 - 2988893165277/17582523968591*c_1001_10^16 - 109711740748805/35165047937182*c_1001_10^15 - 65968970995779/17582523968591*c_1001_10^14 - 400325225781799/35165047937182*c_1001_10^13 - 1003107826113113/70330095874364*c_1001_10^12 - 2119251291911053/70330095874364*c_1001_10^11 - 2524518994882079/70330095874364*c_1001_10^10 - 1787942198278987/35165047937182*c_1001_10^9 - 1857946308844639/35165047937182*c_1001_10^8 - 3979896546471197/70330095874364*c_1001_10^7 - 1643056354081895/35165047937182*c_1001_10^6 - 667199564115130/17582523968591*c_1001_10^5 - 1822416637226841/70330095874364*c_1001_10^4 - 237345993767565/17582523968591*c_1001_10^3 - 467049692970725/70330095874364*c_1001_10^2 - 158668565635809/70330095874364*c_1001_10 - 29002815846287/17582523968591, c_0011_8 - 16213307833343/70330095874364*c_1001_10^17 - 31622677747601/70330095874364*c_1001_10^16 - 81641500201361/17582523968591*c_1001_10^15 - 162038049887831/17582523968591*c_1001_10^14 - 410275099936822/17582523968591*c_1001_10^13 - 2535336009181055/70330095874364*c_1001_10^12 - 2347219687116945/35165047937182*c_1001_10^11 - 3226009034277851/35165047937182*c_1001_10^10 - 9064597279495251/70330095874364*c_1001_10^9 - 2557072781437627/17582523968591*c_1001_10^8 - 10888351573297821/70330095874364*c_1001_10^7 - 9506586165942099/70330095874364*c_1001_10^6 - 1831797287328489/17582523968591*c_1001_10^5 - 5036569192500565/70330095874364*c_1001_10^4 - 2772006763549339/70330095874364*c_1001_10^3 - 1537557931114987/70330095874364*c_1001_10^2 - 130542762504045/17582523968591*c_1001_10 - 323735051228391/70330095874364, c_0101_1 - 4631968949523/70330095874364*c_1001_10^17 - 17804894023525/70330095874364*c_1001_10^16 - 26324366806531/17582523968591*c_1001_10^15 - 88401787427107/17582523968591*c_1001_10^14 - 178479744874191/17582523968591*c_1001_10^13 - 1439946741893619/70330095874364*c_1001_10^12 - 1078285565781351/35165047937182*c_1001_10^11 - 1843459943585823/35165047937182*c_1001_10^10 - 4543897776204715/70330095874364*c_1001_10^9 - 1519277925957819/17582523968591*c_1001_10^8 - 5720875136489749/70330095874364*c_1001_10^7 - 5823513091793979/70330095874364*c_1001_10^6 - 970103867248120/17582523968591*c_1001_10^5 - 3066877410205481/70330095874364*c_1001_10^4 - 1380408049072447/70330095874364*c_1001_10^3 - 994905812804895/70330095874364*c_1001_10^2 - 56197948787765/17582523968591*c_1001_10 - 184697001092603/70330095874364, c_0101_10 + 2424107180103/70330095874364*c_1001_10^17 + 3328505628147/35165047937182*c_1001_10^16 + 11690031856397/17582523968591*c_1001_10^15 + 61308988672431/35165047937182*c_1001_10^14 + 52116045386457/17582523968591*c_1001_10^13 + 314016402289253/70330095874364*c_1001_10^12 + 477314973952143/70330095874364*c_1001_10^11 + 611113524135351/70330095874364*c_1001_10^10 + 382923580818361/35165047937182*c_1001_10^9 + 223176281544095/35165047937182*c_1001_10^8 + 370591084423439/70330095874364*c_1001_10^7 - 76419357015177/17582523968591*c_1001_10^6 - 121610282358627/35165047937182*c_1001_10^5 - 608682040550287/70330095874364*c_1001_10^4 - 59348535867403/17582523968591*c_1001_10^3 - 364505098965433/70330095874364*c_1001_10^2 - 81655517856431/70330095874364*c_1001_10 - 30394280617325/17582523968591, c_0101_2 - 18263773692549/70330095874364*c_1001_10^17 - 22722183343365/70330095874364*c_1001_10^16 - 177763321522123/35165047937182*c_1001_10^15 - 244101781621225/35165047937182*c_1001_10^14 - 786821866087581/35165047937182*c_1001_10^13 - 1919808848272415/70330095874364*c_1001_10^12 - 2113657053788005/35165047937182*c_1001_10^11 - 1201694652557888/17582523968591*c_1001_10^10 - 7640427056002557/70330095874364*c_1001_10^9 - 1832227043750421/17582523968591*c_1001_10^8 - 8561981441845879/70330095874364*c_1001_10^7 - 6127064746376675/70330095874364*c_1001_10^6 - 2732833340751635/35165047937182*c_1001_10^5 - 2755095494444841/70330095874364*c_1001_10^4 - 1963248673352013/70330095874364*c_1001_10^3 - 561227400722885/70330095874364*c_1001_10^2 - 211204092603487/35165047937182*c_1001_10 - 4003257570049/70330095874364, c_0101_5 - 1590713887697/17582523968591*c_1001_10^17 - 10766610682257/70330095874364*c_1001_10^16 - 34025790386659/17582523968591*c_1001_10^15 - 112163839629667/35165047937182*c_1001_10^14 - 193248320152891/17582523968591*c_1001_10^13 - 458350511079651/35165047937182*c_1001_10^12 - 2108062815664957/70330095874364*c_1001_10^11 - 2282259615349473/70330095874364*c_1001_10^10 - 4064542659444583/70330095874364*c_1001_10^9 - 1806507778656203/35165047937182*c_1001_10^8 - 2291042447687341/35165047937182*c_1001_10^7 - 2840952038212885/70330095874364*c_1001_10^6 - 1398434212521375/35165047937182*c_1001_10^5 - 233169714304500/17582523968591*c_1001_10^4 - 1013864698281753/70330095874364*c_1001_10^3 - 41126950906631/17582523968591*c_1001_10^2 - 263739619571165/70330095874364*c_1001_10 + 41677909940735/70330095874364, c_0101_8 - 8307090964669/70330095874364*c_1001_10^17 - 11459699441743/35165047937182*c_1001_10^16 - 88501454291965/35165047937182*c_1001_10^15 - 116926635687020/17582523968591*c_1001_10^14 - 521610457056773/35165047937182*c_1001_10^13 - 1966595760180985/70330095874364*c_1001_10^12 - 3186988534547643/70330095874364*c_1001_10^11 - 5087690890344045/70330095874364*c_1001_10^10 - 1664480028731471/17582523968591*c_1001_10^9 - 4262734938506377/35165047937182*c_1001_10^8 - 8684959259816093/70330095874364*c_1001_10^7 - 2121470575632914/17582523968591*c_1001_10^6 - 1608413762787092/17582523968591*c_1001_10^5 - 4822568578895233/70330095874364*c_1001_10^4 - 1301488284000803/35165047937182*c_1001_10^3 - 1543843552854281/70330095874364*c_1001_10^2 - 576537405816923/70330095874364*c_1001_10 - 145443832736131/35165047937182, c_1001_0 - 3539683497353/70330095874364*c_1001_10^17 + 11184406697843/70330095874364*c_1001_10^16 - 12902792525262/17582523968591*c_1001_10^15 + 51714984038855/17582523968591*c_1001_10^14 + 17630227638699/17582523968591*c_1001_10^13 + 925881652159563/70330095874364*c_1001_10^12 + 158725934683319/17582523968591*c_1001_10^11 + 619677614970907/17582523968591*c_1001_10^10 + 2120158835740625/70330095874364*c_1001_10^9 + 1148189891195406/17582523968591*c_1001_10^8 + 3679494489230741/70330095874364*c_1001_10^7 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8901182171341/17582523968591*c_1001_10^2 - 171879299575225/70330095874364*c_1001_10 + 46197692658377/70330095874364, c_1001_10^18 + 2*c_1001_10^17 + 21*c_1001_10^16 + 42*c_1001_10^15 + 118*c_1001_10^14 + 183*c_1001_10^13 + 363*c_1001_10^12 + 494*c_1001_10^11 + 759*c_1001_10^10 + 861*c_1001_10^9 + 1031*c_1001_10^8 + 922*c_1001_10^7 + 855*c_1001_10^6 + 581*c_1001_10^5 + 428*c_1001_10^4 + 210*c_1001_10^3 + 127*c_1001_10^2 + 41*c_1001_10 + 21 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 3.740 Total time: 3.950 seconds, Total memory usage: 85.38MB