Magma V2.19-8 Wed Aug 21 2013 01:02:55 on localhost [Seed = 4273530129] Type ? for help. Type -D to quit. Loading file "L14n1629__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n1629 geometric_solution 12.02534786 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 0 2 0 0132 2310 0132 3201 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 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.023045886752 0.979322411515 0 2 4 3 0132 3201 0132 0132 1 1 1 1 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 -11 11 0 0 0 0 0 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.410046343863 1.113388408558 5 6 1 0 0132 0132 2310 0132 1 1 1 1 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 1 0 -1 0 0 0 0 0 0 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.264430491181 0.837546691959 7 8 1 9 0132 0132 0132 0132 1 1 0 1 0 0 0 0 0 0 0 0 0 -2 0 2 0 0 0 0 0 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 0.371125550848 0.906438690896 6 10 9 1 2031 0132 0132 0132 1 1 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 0 0 0 0 0 0 0 0 0 0 0 11 -11 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 0.237322610586 0.606322573749 2 11 7 12 0132 0132 0132 0132 1 1 1 1 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 -11 10 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 0.672652384326 0.749898214315 12 2 4 12 3012 0132 1302 2031 1 1 1 1 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 -1 0 1 0 -1 11 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.568748083215 0.820130470841 3 10 11 5 0132 0321 0321 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 10 0 -10 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 0.668581637201 0.369477674123 11 3 10 12 0321 0132 0321 3120 1 1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -10 10 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 0.860586925985 0.916162517759 10 11 3 4 0321 0321 0132 0132 1 1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11 0 -11 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 -0.525354778828 1.212645147498 9 4 8 7 0321 0132 0321 0321 1 0 1 1 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 0 10 -10 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 0.720104820342 0.715088904891 8 5 7 9 0321 0132 0321 0321 1 0 1 1 0 -1 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 0 0 0 0 11 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.345304768652 1.499796428630 8 6 5 6 3120 1302 0132 1230 1 1 1 1 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 -1 1 0 0 -1 1 0 0 0 0 -10 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.502277931605 0.955203723175 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0110_6'], 'c_1001_10' : negation(d['c_0101_12']), 'c_1001_12' : d['c_0110_6'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0101_12']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_12']), 'c_1001_2' : d['c_0011_12'], 'c_1001_9' : d['c_1001_7'], 'c_1001_8' : d['c_1001_7'], 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : d['c_1001_4'], 'c_1010_10' : d['c_1001_4'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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' : 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' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_12']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0110_6'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : d['c_0110_6'], 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_1100_1'], 'c_1100_2' : negation(d['c_0011_0']), 's_3_11' : negation(d['1']), 'c_1100_9' : d['c_1100_1'], 'c_1100_11' : d['c_1001_7'], 'c_1100_10' : d['c_1001_7'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_4'], 'c_1010_6' : d['c_0011_12'], 'c_1010_5' : d['c_0110_6'], 'c_1010_4' : negation(d['c_0101_12']), 'c_1010_3' : d['c_1001_7'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0011_12']), 'c_1010_0' : negation(d['c_0101_1']), 'c_1010_9' : d['c_1001_4'], 'c_1010_8' : negation(d['c_0011_12']), 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(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' : d['c_0110_6'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(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' : negation(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' : negation(d['c_0011_11']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_11']), '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_11'], 'c_0110_11' : d['c_0011_3'], 'c_0110_10' : d['c_0011_3'], 'c_0110_12' : negation(d['c_0011_11']), 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : d['c_0011_10'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_10']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_10']), 'c_0101_8' : negation(d['c_0101_10']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : negation(d['c_0011_11']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_10']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_0'], 'c_0110_6' : d['c_0110_6'], 's_2_9' : negation(d['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_3, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0110_6, c_1001_4, c_1001_7, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 16377236962201612206819108/13335113696243599572125*c_1100_1^7 + 101825497317683562665827029/26670227392487199144250*c_1100_1^6 + 10382148185979732320027664/13335113696243599572125*c_1100_1^5 + 10372539916843060159474749/13335113696243599572125*c_1100_1^4 + 184619276754826570111107603/13335113696243599572125*c_1100_1^3 - 17764262887513718195211109/13335113696243599572125*c_1100_1^2 - 613241280005966364258360373/26670227392487199144250*c_1100_1 + 16460797317858277291043611/2424566126589745376750, c_0011_0 - 1, c_0011_10 + 43992369286439751/260833519730926153*c_1100_1^7 + 125425816383740413/260833519730926153*c_1100_1^6 - 7539149403404273/260833519730926153*c_1100_1^5 + 19218733330540016/260833519730926153*c_1100_1^4 + 44949718363714887/23712138157356923*c_1100_1^3 - 179992617226210222/260833519730926153*c_1100_1^2 - 67024604198221532/23712138157356923*c_1100_1 + 542682043569865176/260833519730926153, c_0011_11 + 159975836859737871/260833519730926153*c_1100_1^7 + 493426186257979688/260833519730926153*c_1100_1^6 + 84382125698838740/260833519730926153*c_1100_1^5 + 146034888375339811/260833519730926153*c_1100_1^4 + 177000922232442937/23712138157356923*c_1100_1^3 - 162717077145293718/260833519730926153*c_1100_1^2 - 266736842867122962/23712138157356923*c_1100_1 + 1483706575534757492/260833519730926153, c_0011_12 + 64860479924190039/260833519730926153*c_1100_1^7 + 226515949478713270/260833519730926153*c_1100_1^6 + 116821357335301261/260833519730926153*c_1100_1^5 + 131461954257491537/260833519730926153*c_1100_1^4 + 80310537112038831/23712138157356923*c_1100_1^3 + 198310460828154516/260833519730926153*c_1100_1^2 - 95827624272411851/23712138157356923*c_1100_1 + 463818130759205562/260833519730926153, c_0011_3 - 1, c_0101_0 - 71991098286858369/260833519730926153*c_1100_1^7 - 242574553490498862/260833519730926153*c_1100_1^6 - 99460424505647286/260833519730926153*c_1100_1^5 - 107597421714259779/260833519730926153*c_1100_1^4 - 87101485505013163/23712138157356923*c_1100_1^3 - 197268157307126726/260833519730926153*c_1100_1^2 + 85263358155966052/23712138157356923*c_1100_1 - 398342488395027140/260833519730926153, c_0101_1 - 170357397545530485/260833519730926153*c_1100_1^7 - 539284267855645452/260833519730926153*c_1100_1^6 - 146756648724174542/260833519730926153*c_1100_1^5 - 165981990757750973/260833519730926153*c_1100_1^4 - 182728035318867686/23712138157356923*c_1100_1^3 - 12416249379455671/260833519730926153*c_1100_1^2 + 266512287791803918/23712138157356923*c_1100_1 - 1191814435391274812/260833519730926153, c_0101_10 - 80722010062069623/260833519730926153*c_1100_1^7 - 583069715120618691/521667039461852306*c_1100_1^6 - 371052587972413287/521667039461852306*c_1100_1^5 - 360054643377277873/521667039461852306*c_1100_1^4 - 103919477380445141/23712138157356923*c_1100_1^3 - 780351646944815643/521667039461852306*c_1100_1^2 + 116075852476061916/23712138157356923*c_1100_1 - 858321656615407711/521667039461852306, c_0101_12 - 87984738572879502/260833519730926153*c_1100_1^7 - 250851632767480826/260833519730926153*c_1100_1^6 + 15078298806808546/260833519730926153*c_1100_1^5 - 38437466661080032/260833519730926153*c_1100_1^4 - 89899436727429774/23712138157356923*c_1100_1^3 + 359985234452420444/260833519730926153*c_1100_1^2 + 157761346553799987/23712138157356923*c_1100_1 - 1085364087139730352/260833519730926153, c_0110_6 + 115983467573298120/260833519730926153*c_1100_1^7 + 368000369874239275/260833519730926153*c_1100_1^6 + 91921275102243013/260833519730926153*c_1100_1^5 + 126816155044799795/260833519730926153*c_1100_1^4 + 132051203868728050/23712138157356923*c_1100_1^3 + 17275540080916504/260833519730926153*c_1100_1^2 - 176000100511544507/23712138157356923*c_1100_1 + 941024531964892316/260833519730926153, c_1001_4 + 207188641089282762/260833519730926153*c_1100_1^7 + 640047658271953310/260833519730926153*c_1100_1^6 + 143966350448346092/260833519730926153*c_1100_1^5 + 235166594305558922/260833519730926153*c_1100_1^4 + 217548566255825194/23712138157356923*c_1100_1^3 - 142702159954621604/260833519730926153*c_1100_1^2 - 310913332662701010/23712138157356923*c_1100_1 + 1552438127108494904/260833519730926153, c_1001_7 + 1, c_1100_1^8 + 418/153*c_1100_1^7 - 67/153*c_1100_1^6 + 122/153*c_1100_1^5 + 1756/153*c_1100_1^4 - 743/153*c_1100_1^3 - 854/51*c_1100_1^2 + 2135/153*c_1100_1 - 409/153 ], 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_3, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0110_6, c_1001_4, c_1001_7, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 112701809022483804334157/1926935282947588372250*c_1100_1^8 - 2761024378221710146476072/6744273490316559302875*c_1100_1^7 + 7949814051869091419301171/6744273490316559302875*c_1100_1^6 - 4446733629315032608591001/6744273490316559302875*c_1100_1^5 - 900082793665696601438521/6744273490316559302875*c_1100_1^4 - 4404342437216840472032807/1926935282947588372250*c_1100_1^3 - 9748235790938989030383472/6744273490316559302875*c_1100_1^2 + 13459944628318130766508814/1348854698063311860575*c_1100_1 + 55819288135044828203529033/6744273490316559302875, c_0011_0 - 1, c_0011_10 + 316731194396883/249360761300237900*c_1100_1^8 + 706366524193449/124680380650118950*c_1100_1^7 - 11573867984961489/249360761300237900*c_1100_1^6 + 10787240070080267/124680380650118950*c_1100_1^5 - 6529422420075834/62340190325059475*c_1100_1^4 + 40342905083305583/249360761300237900*c_1100_1^3 - 29993788628404301/124680380650118950*c_1100_1^2 - 23908363571785031/49872152260047580*c_1100_1 + 97576998013077953/249360761300237900, c_0011_11 - 756717368524754/62340190325059475*c_1100_1^8 - 5188448166462799/62340190325059475*c_1100_1^7 + 15906606086211582/62340190325059475*c_1100_1^6 - 11543072730823192/62340190325059475*c_1100_1^5 + 899572071754393/62340190325059475*c_1100_1^4 - 24783339518106529/62340190325059475*c_1100_1^3 - 16119142403881374/62340190325059475*c_1100_1^2 + 30664773686078288/12468038065011895*c_1100_1 + 86185498936059086/62340190325059475, c_0011_12 + 1135656257920737/124680380650118950*c_1100_1^8 + 3656447882223486/62340190325059475*c_1100_1^7 - 26174007087012171/124680380650118950*c_1100_1^6 + 16385026447991738/62340190325059475*c_1100_1^5 - 17178466352084077/62340190325059475*c_1100_1^4 + 86921670638838487/124680380650118950*c_1100_1^3 - 8772571837145339/62340190325059475*c_1100_1^2 - 26687357320117659/24936076130023790*c_1100_1 - 50203506822747233/124680380650118950, c_0011_3 - 1, c_0101_0 + 1830165931446391/124680380650118950*c_1100_1^8 + 5894814690656248/62340190325059475*c_1100_1^7 - 43387080157384653/124680380650118950*c_1100_1^6 + 22330312800903459/62340190325059475*c_1100_1^5 - 13958416911906061/62340190325059475*c_1100_1^4 + 89909584119518641/124680380650118950*c_1100_1^3 - 13874646224522927/62340190325059475*c_1100_1^2 - 35365758683894027/24936076130023790*c_1100_1 - 74793999859040219/124680380650118950, c_0101_1 + 469206260591803/124680380650118950*c_1100_1^8 + 1245276719886684/62340190325059475*c_1100_1^7 - 14204529468927749/124680380650118950*c_1100_1^6 + 13967467141858747/62340190325059475*c_1100_1^5 - 7881451419196963/62340190325059475*c_1100_1^4 + 17611103093960503/124680380650118950*c_1100_1^3 - 6004611241227966/62340190325059475*c_1100_1^2 - 9192238951651411/24936076130023790*c_1100_1 + 99423842206527873/124680380650118950, c_0101_10 + 1081666022547383/124680380650118950*c_1100_1^8 + 3108578909950299/62340190325059475*c_1100_1^7 - 14895710990368057/62340190325059475*c_1100_1^6 + 47813937676817409/124680380650118950*c_1100_1^5 - 55088794947309261/124680380650118950*c_1100_1^4 + 115045693360398883/124680380650118950*c_1100_1^3 - 64766844825763677/124680380650118950*c_1100_1^2 - 25036458883471601/24936076130023790*c_1100_1 + 10430702051289839/62340190325059475, c_0101_12 + 316731194396883/124680380650118950*c_1100_1^8 + 706366524193449/62340190325059475*c_1100_1^7 - 11573867984961489/124680380650118950*c_1100_1^6 + 10787240070080267/62340190325059475*c_1100_1^5 - 13058844840151668/62340190325059475*c_1100_1^4 + 40342905083305583/124680380650118950*c_1100_1^3 - 29993788628404301/62340190325059475*c_1100_1^2 + 1027712558238759/24936076130023790*c_1100_1 + 97576998013077953/124680380650118950, c_0110_6 + 3343600668495899/249360761300237900*c_1100_1^8 + 11083262857119047/124680380650118950*c_1100_1^7 - 75200292329807817/249360761300237900*c_1100_1^6 + 33873385531726651/124680380650118950*c_1100_1^5 - 7428994491830227/62340190325059475*c_1100_1^4 + 139476263155731699/249360761300237900*c_1100_1^3 + 2244496179358447/124680380650118950*c_1100_1^2 - 96695306056050603/49872152260047580*c_1100_1 - 247164997731158391/249360761300237900, c_1001_4 + 178772356676193/49872152260047580*c_1100_1^8 + 528753042479489/24936076130023790*c_1100_1^7 - 4520810028127599/49872152260047580*c_1100_1^6 + 4661042377731767/24936076130023790*c_1100_1^5 - 2146683632117254/12468038065011895*c_1100_1^4 + 3659848537235753/49872152260047580*c_1100_1^3 + 164343966928649/24936076130023790*c_1100_1^2 - 1929832762690845/9974430452009516*c_1100_1 + 25803751409895763/49872152260047580, c_1001_7 - 1, c_1100_1^9 + 51/7*c_1100_1^8 - 127/7*c_1100_1^7 + 39/7*c_1100_1^6 + 38/7*c_1100_1^5 + 279/7*c_1100_1^4 + 251/7*c_1100_1^3 - 163*c_1100_1^2 - 1328/7*c_1100_1 - 281/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.740 Total time: 0.950 seconds, Total memory usage: 32.09MB