Magma V2.19-8 Wed Aug 21 2013 01:03:10 on localhost [Seed = 3296910555] Type ? for help. Type -D to quit. Loading file "L14n17686__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n17686 geometric_solution 11.68063052 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 1 1 0 0 1 -1 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 1 0 0 0 0 0 -1 0 1 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.048303443886 0.701567363152 0 3 6 5 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.463075850901 0.714641105554 3 0 6 7 0132 0132 1302 0132 0 0 1 1 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 9 0 -9 -9 1 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.343532241702 1.369984528532 2 1 8 0 0132 0132 0132 0132 0 0 1 1 0 0 1 -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 0 -1 1 0 0 0 0 9 0 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.807555496795 0.863547612545 9 10 0 11 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 1 -1 0 -1 0 0 1 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.170159297024 0.883143762121 11 10 1 12 0132 1023 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.070567089905 0.588670754555 2 7 12 1 2031 0132 0132 0132 0 0 1 0 0 0 0 0 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 0 0 0 0 0 0 0 -8 8 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.089581575421 1.698301069102 11 6 2 8 3012 0132 0132 3012 0 0 0 1 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 0 0 0 0 0 0 0 -1 1 0 0 -1 -8 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.622909508640 0.939403470267 9 12 7 3 2031 2031 1230 0132 0 0 1 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 -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 0.780490111552 0.719964150705 4 11 8 10 0132 0132 1302 1023 0 0 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 0 0 0 1 0 0 -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 0.499255247523 1.591658694367 5 4 12 9 1023 0132 0213 1023 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 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 0.202883198151 0.775575755898 5 9 4 7 0132 0132 0132 1230 0 0 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 0 0 0 0 0 -1 1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.904858376521 1.071366850473 8 10 5 6 1302 0213 0132 0132 0 0 0 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 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 -0.112419650575 0.975159049351 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0110_10'], 'c_1001_10' : d['c_0110_10'], 'c_1001_12' : d['c_0110_10'], 'c_1001_5' : d['c_0011_12'], 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0101_8']), 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_12'], 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : d['c_0101_3'], 'c_1001_8' : negation(d['c_0101_6']), 'c_1010_12' : negation(d['c_0101_8']), 'c_1010_11' : d['c_0101_3'], 'c_1010_10' : d['c_0101_1'], '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' : negation(d['c_0011_8']), 'c_0101_10' : d['c_0011_12'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : negation(d['1']), 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(d['1']), 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_0110_7'], 'c_1100_7' : d['c_0101_6'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0110_7'], 'c_1100_3' : d['c_0110_7'], 'c_1100_2' : d['c_0101_6'], 's_3_11' : negation(d['1']), 'c_1100_11' : d['c_0110_7'], 'c_1100_10' : negation(d['c_0101_8']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_8']), 'c_1010_6' : d['c_1001_0'], 'c_1010_5' : d['c_0110_10'], 'c_1010_4' : d['c_0110_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_12'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0110_10'], 'c_1010_8' : d['c_0011_12'], 'c_1100_8' : d['c_0110_7'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(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_1'], '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' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_10'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_6']), 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_6']), 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0101_6'], 'c_0101_12' : negation(d['c_0011_8']), 'c_0011_11' : negation(d['c_0011_10']), 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_6']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_6']), 'c_0101_9' : negation(d['c_0011_8']), 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : negation(d['c_0011_6']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_6']), 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : negation(d['c_0011_8']), 'c_0110_4' : negation(d['c_0011_8']), 'c_0110_7' : d['c_0110_7'], '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_6, c_0011_8, c_0101_1, c_0101_3, c_0101_6, c_0101_8, c_0110_10, c_0110_7, c_1001_0, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 1441953458692672271430290914045/26855051840426088850934434892*c_110\ 0_1^11 + 4233367402464272672443671033500671/32897438504521958842394\ 68274270*c_1100_1^10 - 13182599381390150022338657431655919/65794877\ 00904391768478936548540*c_1100_1^9 + 24249934506561932591148270514571022/1644871925226097942119734137135\ *c_1100_1^8 - 26851420904137910254847540904301737/32897438504521958\ 84239468274270*c_1100_1^7 + 240392129758948624737389289297435961/65\ 79487700904391768478936548540*c_1100_1^6 - 234605561389956418503833896397625/46996340720745655489135261061*c_1\ 100_1^5 + 67267952593676956554225341865687005/131589754018087835369\ 5787309708*c_1100_1^4 + 109274269235141371927280067355090327/657948\ 7700904391768478936548540*c_1100_1^3 + 28855770978140675749958792030362285/657948770090439176847893654854*\ c_1100_1^2 + 46014869680446673106313183039396381/328974385045219588\ 4239468274270*c_1100_1 + 73815451633588030876484530404443479/657948\ 7700904391768478936548540, c_0011_0 - 1, c_0011_10 - 661129960820667479029/7922905262364366452302*c_1100_1^11 + 10441599723659500913809/3961452631182183226151*c_1100_1^10 - 35435718541818268240311/7922905262364366452302*c_1100_1^9 + 123963550512643611025210/3961452631182183226151*c_1100_1^8 - 93894667741156219089765/3961452631182183226151*c_1100_1^7 + 639011158476819326094861/7922905262364366452302*c_1100_1^6 - 106131952474968691699426/3961452631182183226151*c_1100_1^5 + 869034155554027656081427/7922905262364366452302*c_1100_1^4 + 104573891159600156842605/7922905262364366452302*c_1100_1^3 + 330456841195465302093852/3961452631182183226151*c_1100_1^2 + 60452714982979750646938/3961452631182183226151*c_1100_1 + 149093698602891728969559/7922905262364366452302, c_0011_12 + 803970122758699768865/7922905262364366452302*c_1100_1^11 + 13107297562703826039605/3961452631182183226151*c_1100_1^10 - 18908243333110025434609/7922905262364366452302*c_1100_1^9 + 155866843937742647595151/3961452631182183226151*c_1100_1^8 - 48985117953899128698890/3961452631182183226151*c_1100_1^7 + 779191535625449953441091/7922905262364366452302*c_1100_1^6 + 14215492840135169912498/3961452631182183226151*c_1100_1^5 + 1129451903400196949329237/7922905262364366452302*c_1100_1^4 + 497440680333514733673685/7922905262364366452302*c_1100_1^3 + 492854432785990913652877/3961452631182183226151*c_1100_1^2 + 176487013695425994424010/3961452631182183226151*c_1100_1 + 240389447310664068041297/7922905262364366452302, c_0011_6 + 1, c_0011_8 - 9493483277604446264788/3961452631182183226151*c_1100_1^11 - 5954099198568535453865/3961452631182183226151*c_1100_1^10 - 93136960529665271402234/3961452631182183226151*c_1100_1^9 - 144465877856937662894923/3961452631182183226151*c_1100_1^8 - 190646348918874593838757/3961452631182183226151*c_1100_1^7 - 471039732530121868213524/3961452631182183226151*c_1100_1^6 - 357604700618408516249868/3961452631182183226151*c_1100_1^5 - 846818479304714940513139/3961452631182183226151*c_1100_1^4 - 578980202484837935303682/3961452631182183226151*c_1100_1^3 - 714531558760984479751699/3961452631182183226151*c_1100_1^2 - 268981577477991988805511/3961452631182183226151*c_1100_1 - 151794563261416529162315/3961452631182183226151, c_0101_1 - 29068575474578892218715/7922905262364366452302*c_1100_1^11 + 26130829453339560534737/3961452631182183226151*c_1100_1^10 - 364529009661518805183613/7922905262364366452302*c_1100_1^9 + 194716921608885376373408/3961452631182183226151*c_1100_1^8 - 485054675506346068087376/3961452631182183226151*c_1100_1^7 + 662592852581201021241059/7922905262364366452302*c_1100_1^6 - 645293797572887923760048/3961452631182183226151*c_1100_1^5 + 428067830367380777607737/7922905262364366452302*c_1100_1^4 - 778503632770885971065105/7922905262364366452302*c_1100_1^3 + 201685512971731495405747/3961452631182183226151*c_1100_1^2 - 21384415190145116356806/3961452631182183226151*c_1100_1 + 186164342684129962515797/7922905262364366452302, c_0101_3 + 39853539475303843992857/7922905262364366452302*c_1100_1^11 - 1362620306561700571323/3961452631182183226151*c_1100_1^10 + 423585346153227844775885/7922905262364366452302*c_1100_1^9 + 138482927026082726542903/3961452631182183226151*c_1100_1^8 + 484670392077079948826701/3961452631182183226151*c_1100_1^7 + 1133328319871881020726391/7922905262364366452302*c_1100_1^6 + 810483726905225734606787/3961452631182183226151*c_1100_1^5 + 2346978059326857521598437/7922905262364366452302*c_1100_1^4 + 2100074776420104849631775/7922905262364366452302*c_1100_1^3 + 986392588102530988846224/3961452631182183226151*c_1100_1^2 + 426584583682174401295453/3961452631182183226151*c_1100_1 + 377047448425262135527777/7922905262364366452302, c_0101_6 - 17312512047940572327879/3961452631182183226151*c_1100_1^11 + 7683414967016024594143/3961452631182183226151*c_1100_1^10 - 191852863604940946780613/3961452631182183226151*c_1100_1^9 - 42127271942680161902139/3961452631182183226151*c_1100_1^8 - 464248667684977607068415/3961452631182183226151*c_1100_1^7 - 284827028973136185485036/3961452631182183226151*c_1100_1^6 - 744820187476491401712044/3961452631182183226151*c_1100_1^5 - 717063163069351152639422/3961452631182183226151*c_1100_1^4 - 842329745689968417466813/3961452631182183226151*c_1100_1^3 - 603071920002833307471312/3961452631182183226151*c_1100_1^2 - 300704395270380942753495/3961452631182183226151*c_1100_1 - 94806886802256709402424/3961452631182183226151, c_0101_8 + 32258745905152689306531/7922905262364366452302*c_1100_1^11 - 37973771040872765213854/3961452631182183226151*c_1100_1^10 + 423174096639410884219559/7922905262364366452302*c_1100_1^9 - 321354417465275287163242/3961452631182183226151*c_1100_1^8 + 578472975402130773882629/3961452631182183226151*c_1100_1^7 - 1268018254347577591001525/7922905262364366452302*c_1100_1^6 + 718494335818918802936663/3961452631182183226151*c_1100_1^5 - 1250318057165812780198341/7922905262364366452302*c_1100_1^4 + 545578407222165544592897/7922905262364366452302*c_1100_1^3 - 571865535069458979034160/3961452631182183226151*c_1100_1^2 - 105021489452111705270712/3961452631182183226151*c_1100_1 - 390742079805801363943565/7922905262364366452302, c_0110_10 + 20654866569434695872099/3961452631182183226151*c_1100_1^11 - 14459159843873603179175/3961452631182183226151*c_1100_1^10 + 233741341793150043657317/3961452631182183226151*c_1100_1^9 - 8962335380451905261563/3961452631182183226151*c_1100_1^8 + 567050114842463168031886/3961452631182183226151*c_1100_1^7 + 210447280041413934767773/3961452631182183226151*c_1100_1^6 + 855398830649943104556116/3961452631182183226151*c_1100_1^5 + 677665720248001461973877/3961452631182183226151*c_1100_1^4 + 877085378960853072490369/3961452631182183226151*c_1100_1^3 + 560645700313003135700922/3961452631182183226151*c_1100_1^2 + 286380076497517480902602/3961452631182183226151*c_1100_1 + 83910166912192907185479/3961452631182183226151, c_0110_7 + 26455247844891731194329/3961452631182183226151*c_1100_1^11 - 18937632151373316698437/3961452631182183226151*c_1100_1^10 + 299776425183765784941360/3961452631182183226151*c_1100_1^9 - 17355729130125816940595/3961452631182183226151*c_1100_1^8 + 729435231562709306489297/3961452631182183226151*c_1100_1^7 + 245433870215853495363738/3961452631182183226151*c_1100_1^6 + 1105868584421800436962886/3961452631182183226151*c_1100_1^5 + 824825830849747847148270/3961452631182183226151*c_1100_1^4 + 1127436081295365307337860/3961452631182183226151*c_1100_1^3 + 670627565452013119846439/3961452631182183226151*c_1100_1^2 + 362314306861472690973189/3961452631182183226151*c_1100_1 + 87455968079016020566197/3961452631182183226151, c_1001_0 - 6750813739150500335365/7922905262364366452302*c_1100_1^11 + 7320142421785815661306/3961452631182183226151*c_1100_1^10 - 87137956134009909212989/7922905262364366452302*c_1100_1^9 + 59125578381986209829875/3961452631182183226151*c_1100_1^8 - 116528433132514298858210/3961452631182183226151*c_1100_1^7 + 210991180789132587246225/7922905262364366452302*c_1100_1^6 - 142344679737517570690644/3961452631182183226151*c_1100_1^5 + 170649219683700403556907/7922905262364366452302*c_1100_1^4 - 119900970037100525794859/7922905262364366452302*c_1100_1^3 + 75506848139526954282930/3961452631182183226151*c_1100_1^2 + 8056364199905519534161/3961452631182183226151*c_1100_1 + 46020417409930039989429/7922905262364366452302, c_1100_1^12 - 25/49*c_1100_1^11 + 83/7*c_1100_1^10 + 47/49*c_1100_1^9 + 1730/49*c_1100_1^8 + 577/49*c_1100_1^7 + 3103/49*c_1100_1^6 + 1919/49*c_1100_1^5 + 3788/49*c_1100_1^4 + 2215/49*c_1100_1^3 + 2136/49*c_1100_1^2 + 101/7*c_1100_1 + 337/49 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.450 Total time: 0.660 seconds, Total memory usage: 32.09MB