Magma V2.19-8 Wed Aug 21 2013 00:58:43 on localhost [Seed = 121707633] Type ? for help. Type -D to quit. Loading file "L13n5956__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n5956 geometric_solution 12.48647059 oriented_manifold CS_known 0.0000000000000009 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 1 1 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 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 0.624400651616 1.179620928505 0 4 6 5 0132 0132 0132 0132 0 1 1 1 0 1 0 -1 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 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 0.527762512400 0.529497563511 6 0 8 7 0132 0132 0132 0132 0 1 1 1 0 0 0 0 1 0 0 -1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.666036313945 0.578192212422 7 9 10 0 0321 0132 0132 0132 0 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 0 0 1 -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 0.647016314921 1.045246015777 11 1 0 12 0132 0132 0132 0132 0 1 1 1 0 -1 0 1 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 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 -0.133145198559 0.778563069349 7 8 1 9 1302 0132 0132 1302 0 1 0 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 -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 0 0 0 1.001614499680 0.710723631152 2 11 10 1 0132 0132 3201 0132 0 1 1 1 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 0 0 0 0 0 0 -1 1 0 0 -1 1 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.705854100581 0.929000046914 3 5 2 12 0321 2031 0132 2310 0 1 1 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 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 0.509022829787 0.898937890700 11 5 10 2 3120 0132 0213 0132 0 1 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.566256969262 0.752074306114 11 3 5 12 2031 0132 2031 2031 0 0 1 1 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 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 0.269787176666 0.655708996351 6 8 12 3 2310 0213 0132 0132 0 1 1 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 1 0 0 -1 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.267870602025 0.586824224948 4 6 9 8 0132 0132 1302 3120 0 1 1 1 0 0 0 0 0 0 0 0 1 0 0 -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 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.628374892942 1.060866392264 7 9 4 10 3201 1302 0132 0132 0 1 0 1 0 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 -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 0.320028942556 1.152594976521 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0110_9'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0110_9'], 'c_1001_5' : d['c_1001_2'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0110_5']), 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_0110_9'], 'c_1001_0' : negation(d['c_0110_5']), 'c_1001_3' : d['c_0011_12'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0110_5']), 'c_1001_8' : d['c_1001_10'], 'c_1010_12' : d['c_1001_10'], 'c_1010_11' : d['c_0011_5'], 'c_1010_10' : d['c_0011_12'], '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'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_3'], 'c_0101_10' : negation(d['c_0011_5']), '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_1100_9' : negation(d['c_1001_10']), 'c_1100_8' : d['c_0011_12'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_12'], 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : negation(d['c_0011_10']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0011_12'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_5'], 'c_1010_6' : d['c_0110_9'], 'c_1010_5' : d['c_1001_10'], 'c_1010_4' : d['c_0110_9'], 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_0110_5']), 'c_1010_1' : d['c_1001_2'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_12'], 'c_1010_8' : d['c_1001_2'], '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' : d['c_1100_0'], '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_3']), 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], '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_0101_1'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : negation(d['c_0011_5']), 'c_0101_12' : d['c_0011_3'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0101_3']), 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : negation(d['c_0011_7']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_7']), 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : d['c_0011_10'], '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' : d['c_0110_9'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : negation(d['c_0011_7']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_7']), 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : negation(d['c_0011_3']), '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_12, c_0011_3, c_0011_5, c_0011_7, c_0101_1, c_0101_3, c_0110_5, c_0110_9, c_1001_10, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 26547158061622082911917192943848253359/8955989709159855744718579236\ 2240825*c_1100_0^13 - 127654296134488374117222114622999417709/35823\ 9588366394229788743169448963300*c_1100_0^12 + 1430591014024019724028948603343748703401/35823958836639422978874316\ 9448963300*c_1100_0^11 - 2293793342728207183720152737701658429067/3\ 58239588366394229788743169448963300*c_1100_0^10 + 278120559998285329975022136008805193411/358239588366394229788743169\ 448963300*c_1100_0^9 + 2213151012102552822276707317276836029489/895\ 59897091598557447185792362240825*c_1100_0^8 - 13968199974899933140517265635642515957737/3582395883663942297887431\ 69448963300*c_1100_0^7 + 13357270974318693509277459812218111678951/\ 358239588366394229788743169448963300*c_1100_0^6 - 271386502271462791414164070676605796767/115561157537546525738304248\ 20934300*c_1100_0^5 + 18982105555076677615566805600252532783657/358\ 239588366394229788743169448963300*c_1100_0^4 - 7304679691909690131129535850938653399961/89559897091598557447185792\ 362240825*c_1100_0^3 + 22309365518035347370546225572358870985311/35\ 8239588366394229788743169448963300*c_1100_0^2 - 4781106687439697190177132263965506895003/17911979418319711489437158\ 4724481650*c_1100_0 + 1000743082498949462407359287445613023537/3582\ 39588366394229788743169448963300, c_0011_0 - 1, c_0011_10 - 122648205055276001888887911572/1297499414583101158235216115\ 353*c_1100_0^13 + 394916182273747915070813392593/259499882916620231\ 6470432230706*c_1100_0^12 - 3378116405217935802342461403351/2594998\ 829166202316470432230706*c_1100_0^11 + 6593891885265211401104053277711/2594998829166202316470432230706*c_1\ 100_0^10 - 2196186878925091742963127999391/259499882916620231647043\ 2230706*c_1100_0^9 - 10573008640833715853002660272032/1297499414583\ 101158235216115353*c_1100_0^8 + 40406093207623961387402444193591/25\ 94998829166202316470432230706*c_1100_0^7 - 39996389966641390811374492733661/2594998829166202316470432230706*c_\ 1100_0^6 + 851480914410961008793303407277/8370963965052265537001394\ 2926*c_1100_0^5 - 48220600393080706004258067434845/2594998829166202\ 316470432230706*c_1100_0^4 + 41100370173339524163572760635162/12974\ 99414583101158235216115353*c_1100_0^3 - 71008478090952580314410318439453/2594998829166202316470432230706*c_\ 1100_0^2 + 15580446618730518647671977968004/12974994145831011582352\ 16115353*c_1100_0 - 5323520844822163886553643478039/259499882916620\ 2316470432230706, c_0011_12 - 100865741705151815096115901619/2594998829166202316470432230\ 706*c_1100_0^13 + 136909857904270572718456745274/129749941458310115\ 8235216115353*c_1100_0^12 - 767846265934846598175786985956/12974994\ 14583101158235216115353*c_1100_0^11 + 2101584781476479612643621748606/1297499414583101158235216115353*c_1\ 100_0^10 - 3452301270706010956766979857313/259499882916620231647043\ 2230706*c_1100_0^9 - 8442829635963959106961402594105/25949988291662\ 02316470432230706*c_1100_0^8 + 13191728696453199557721920605376/129\ 7499414583101158235216115353*c_1100_0^7 - 15967390824960089210837623152565/1297499414583101158235216115353*c_\ 1100_0^6 + 392874999385860076684424017164/4185481982526132768500697\ 1463*c_1100_0^5 - 26956364345479416404383360039227/2594998829166202\ 316470432230706*c_1100_0^4 + 53159244115978703336444496581887/25949\ 98829166202316470432230706*c_1100_0^3 - 62082816706750090655880211491135/2594998829166202316470432230706*c_\ 1100_0^2 + 35771388495807169770080012623487/25949988291662023164704\ 32230706*c_1100_0 - 9598662498779497615916781128639/259499882916620\ 2316470432230706, c_0011_3 + 1985188826562175108202321879480/2984248653541132663940997065\ 3119*c_1100_0^13 - 7483764325767523395236502513865/5968497307082265\ 3278819941306238*c_1100_0^12 + 55056248178057516430739442611521/596\ 84973070822653278819941306238*c_1100_0^11 - 121224787521292132046968691818709/59684973070822653278819941306238*\ c_1100_0^10 + 47125816596955363963536914385959/59684973070822653278\ 819941306238*c_1100_0^9 + 173645267834438746301678665287396/2984248\ 6535411326639409970653119*c_1100_0^8 - 734881800145806979282262674370173/59684973070822653278819941306238*\ c_1100_0^7 + 713093287581935878143316915618423/59684973070822653278\ 819941306238*c_1100_0^6 - 16729901341815910072119035874157/19253217\ 11962021073510320687298*c_1100_0^5 + 829703374102724231006484953394667/59684973070822653278819941306238*\ c_1100_0^4 - 770324633110511640560964263739833/29842486535411326639\ 409970653119*c_1100_0^3 + 1320224399836809410006670674004263/596849\ 73070822653278819941306238*c_1100_0^2 - 297933066777875784972945402822439/29842486535411326639409970653119*\ c_1100_0 + 152829731533240713260655678376167/5968497307082265327881\ 9941306238, c_0011_5 + 82691534169952670918337690435/129749941458310115823521611535\ 3*c_1100_0^13 - 243156854169992463881932002845/25949988291662023164\ 70432230706*c_1100_0^12 + 2217319181383876762786336149441/259499882\ 9166202316470432230706*c_1100_0^11 - 4153211498631843430180929146791/2594998829166202316470432230706*c_1\ 100_0^10 + 564585734732727410999960926985/2594998829166202316470432\ 230706*c_1100_0^9 + 7133154045847488068703231928668/129749941458310\ 1158235216115353*c_1100_0^8 - 24797444903364785059467306381623/2594\ 998829166202316470432230706*c_1100_0^7 + 21657367913353237813386471736581/2594998829166202316470432230706*c_\ 1100_0^6 - 490180758704657015842994340517/8370963965052265537001394\ 2926*c_1100_0^5 + 30055532837550555144075228855221/2594998829166202\ 316470432230706*c_1100_0^4 - 26041918409669456961480634850179/12974\ 99414583101158235216115353*c_1100_0^3 + 38216467608723764910695318730995/2594998829166202316470432230706*c_\ 1100_0^2 - 8548892346148462619651047240908/129749941458310115823521\ 6115353*c_1100_0 + 2919084349503983955722846037965/2594998829166202\ 316470432230706, c_0011_7 - 13330056924006480491809755574641/596849730708226532788199413\ 06238*c_1100_0^13 + 20101851547318940233025557845035/59684973070822\ 653278819941306238*c_1100_0^12 - 183180966854933133205796626576527/\ 59684973070822653278819941306238*c_1100_0^11 + 341432961119524325121997969458255/59684973070822653278819941306238*\ c_1100_0^10 - 52956070869340676703802234231183/29842486535411326639\ 409970653119*c_1100_0^9 - 1127682505818156525052265359634751/596849\ 73070822653278819941306238*c_1100_0^8 + 2088913247518051858926086122074085/59684973070822653278819941306238\ *c_1100_0^7 - 2110076484035494989556112073483289/596849730708226532\ 78819941306238*c_1100_0^6 + 45531341392319697776429066948785/192532\ 1711962021073510320687298*c_1100_0^5 - 1286795608807562929399403450091270/29842486535411326639409970653119\ *c_1100_0^4 + 4304076240461396852482381151590643/596849730708226532\ 78819941306238*c_1100_0^3 - 1848944910870701153661826475834658/2984\ 2486535411326639409970653119*c_1100_0^2 + 1685955067962584304187898143882181/59684973070822653278819941306238\ *c_1100_0 - 143647670949930096816689287271351/298424865354113266394\ 09970653119, c_0101_1 + 734507230858958116956453642135/59684973070822653278819941306\ 238*c_1100_0^13 - 2471295951135396955637963072967/29842486535411326\ 639409970653119*c_1100_0^12 + 6950390929713739896732898303497/29842\ 486535411326639409970653119*c_1100_0^11 - 34725568934335371101581735173148/29842486535411326639409970653119*c\ _1100_0^10 + 77910396195772458381267721127511/596849730708226532788\ 19941306238*c_1100_0^9 + 70402971534882899832410558656765/596849730\ 70822653278819941306238*c_1100_0^8 - 218212598559661285572523916808506/29842486535411326639409970653119*\ c_1100_0^7 + 277259062010424870080966735356269/29842486535411326639\ 409970653119*c_1100_0^6 - 7250758991811112681295395989257/962660855\ 981010536755160343649*c_1100_0^5 + 338063166221861415656708082993871/59684973070822653278819941306238*\ c_1100_0^4 - 850065899049760912976966617392741/59684973070822653278\ 819941306238*c_1100_0^3 + 1121515230830815316635187538253089/596849\ 73070822653278819941306238*c_1100_0^2 - 650841342152705479461586359615707/59684973070822653278819941306238*\ c_1100_0 + 191201053160322941555805974031527/5968497307082265327881\ 9941306238, c_0101_3 - 1467264602002289107726094221321/5968497307082265327881994130\ 6238*c_1100_0^13 + 1124339558862020022864553777400/2984248653541132\ 6639409970653119*c_1100_0^12 - 10058402308477091892797160964951/298\ 42486535411326639409970653119*c_1100_0^11 + 19158632817121837290869499227074/29842486535411326639409970653119*c\ _1100_0^10 - 11508116402364555126247359020713/596849730708226532788\ 19941306238*c_1100_0^9 - 121262889198780498390522738219023/59684973\ 070822653278819941306238*c_1100_0^8 + 113544022909275684957069178007102/29842486535411326639409970653119*\ c_1100_0^7 - 115759612653612280745627599042605/29842486535411326639\ 409970653119*c_1100_0^6 + 2788489731995735563056043158968/962660855\ 981010536755160343649*c_1100_0^5 - 312989947321175492078825833153061/59684973070822653278819941306238*\ c_1100_0^4 + 514173181644907596196709026817837/59684973070822653278\ 819941306238*c_1100_0^3 - 408673034834063977815836056449603/5968497\ 3070822653278819941306238*c_1100_0^2 + 201165305482005180450587107891327/59684973070822653278819941306238*\ c_1100_0 - 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