Magma V2.19-8 Wed Aug 21 2013 00:57:18 on localhost [Seed = 964633572] Type ? for help. Type -D to quit. Loading file "L13n4204__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4204 geometric_solution 12.32611840 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 1302 0132 0132 1 1 1 0 0 -1 0 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 0 5 0 -5 0 0 0 0 5 -5 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.416568160921 0.827684201704 0 4 5 0 0132 0132 0132 2031 1 1 0 1 0 0 1 -1 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 -5 5 0 0 5 -5 1 -1 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.568949875096 0.807139397675 4 4 6 0 0132 1230 0132 0132 1 1 0 1 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 0 0 0 0 0 0 0 2 -1 0 -1 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.636076002542 0.698587634633 6 7 0 8 1302 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 -6 5 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 -0.301389460915 1.614456650462 2 1 2 7 0132 0132 3012 2310 1 1 1 0 0 0 1 -1 0 0 0 0 -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 -6 6 0 0 0 0 6 -5 0 -1 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.287403507929 0.782628327203 9 10 11 1 0132 0132 0132 0132 1 1 1 1 0 1 0 -1 -1 0 0 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 -5 0 5 5 0 0 -5 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.093898705082 0.711412007381 9 3 8 2 2031 2031 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.223113242097 0.954309665669 4 3 12 11 3201 0132 0132 1302 1 1 1 1 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 6 0 -6 1 0 0 -1 -6 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.387984231216 1.005664162440 12 10 3 6 2031 1023 0132 0132 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 -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 0.223787139469 0.673474235407 5 12 6 11 0132 2031 1302 3201 1 1 1 1 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 0 0 0 -5 0 0 5 6 0 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.403780008100 0.682431018637 8 5 12 11 1023 0132 3012 2310 1 1 1 1 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 5 0 -5 -1 0 0 1 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.034022102448 1.194797817362 10 9 7 5 3201 2310 2031 0132 1 1 1 1 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 0 0 0 0 0 6 -6 0 -6 0 6 0 5 -5 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.210624962417 1.315666132054 9 10 8 7 1302 1230 1302 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.082024633452 0.632765489209 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_12']), 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_12' : negation(d['c_0011_11']), 'c_1001_5' : negation(d['c_0101_5']), 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : negation(d['c_0101_11']), 'c_1001_1' : negation(d['c_0011_12']), 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0011_3'], 'c_1001_9' : d['c_0101_2'], 'c_1001_8' : d['c_0101_10'], 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : negation(d['c_0101_5']), 'c_1010_10' : negation(d['c_0101_5']), 's_3_11' : 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_0101_11'], '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_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_7' : d['c_0101_11'], 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : negation(d['c_1001_3']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_1001_3']), 'c_1100_10' : d['c_0011_11'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : negation(d['c_0011_12']), 'c_1010_4' : negation(d['c_0011_12']), 'c_1010_3' : d['c_0101_10'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_1001_3'], 'c_1010_9' : d['c_0011_12'], 'c_1010_8' : negation(d['c_0101_11']), 'c_1100_8' : d['c_1100_0'], '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_0101_11'], '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_10'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_5'], 'c_0110_10' : negation(d['c_0101_11']), 'c_0110_12' : negation(d['c_0101_2']), 'c_0101_12' : negation(d['c_0011_10']), 'c_0110_0' : negation(d['c_0011_6']), 'c_0101_7' : negation(d['c_0101_2']), 'c_0101_6' : negation(d['c_0011_11']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_6']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_6']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_6']), 'c_0101_8' : d['c_0101_11'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : negation(d['c_0011_11']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_11']), 'c_0110_3' : d['c_0101_11'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0011_12'], 'c_0110_6' : d['c_0101_2']})} 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_0011_6, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_5, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 24063145253323501989262345160113305/1803886605624799149386369666944\ *c_1100_0^11 - 41194223189536364232769315805856321/2345052587312238\ 8942022805670272*c_1100_0^10 + 156437160030892460944958444605139383\ /901943302812399574693184833472*c_1100_0^9 + 560580102690725755704881490491797083/293131573414029861775285070878\ 4*c_1100_0^8 - 2139856712098715631662273510834685723/29313157341402\ 98617752850708784*c_1100_0^7 - 412468683637935563488294175403518519\ 43/23450525873122388942022805670272*c_1100_0^6 - 19985512537567430281731668726455835407/2345052587312238894202280567\ 0272*c_1100_0^5 + 26534000125724885909021010787331893841/2345052587\ 3122388942022805670272*c_1100_0^4 + 36729214075531637619753160832712430967/2345052587312238894202280567\ 0272*c_1100_0^3 + 15897771655695948530821979368639961179/2345052587\ 3122388942022805670272*c_1100_0^2 + 10595266471864077356094262756173855/112742912851549946836648104184*\ c_1100_0 + 30246150778546218023857884260955071/58626314682805972355\ 05701417568, c_0011_0 - 1, c_0011_10 + 3121961054490760003501473/3763302997531583585181104*c_1100_\ 0^11 + 1557916452139381473965717/3763302997531583585181104*c_1100_0\ ^10 - 21169866981345310366612635/1881651498765791792590552*c_1100_0\ ^9 - 7248791103724666846275327/470412874691447948147638*c_1100_0^8 + 22129237289595411914341123/470412874691447948147638*c_1100_0^7 + 479105934790200525942396827/3763302997531583585181104*c_1100_0^6 + 246101415266941597084825339/3763302997531583585181104*c_1100_0^5 - 336894548653609917745806501/3763302997531583585181104*c_1100_0^4 - 457376528943985021999501139/3763302997531583585181104*c_1100_0^3 - 155295918827255533831238135/3763302997531583585181104*c_1100_0^2 + 1909787088524850365040551/470412874691447948147638*c_1100_0 + 2005450265093431041782501/940825749382895896295276, c_0011_11 - 22040147362693874347437075/7526605995063167170362208*c_1100\ _0^11 + 4157212254814569971091705/7526605995063167170362208*c_1100_\ 0^10 + 143341906493453279187261861/3763302997531583585181104*c_1100\ _0^9 + 27797870963155002717262145/940825749382895896295276*c_1100_0\ ^8 - 161487152069787643991963845/940825749382895896295276*c_1100_0^\ 7 - 2495271379103949696708929281/7526605995063167170362208*c_1100_0\ ^6 - 547596028611416794241693385/7526605995063167170362208*c_1100_0\ ^5 + 2151765447857265007316342743/7526605995063167170362208*c_1100_\ 0^4 + 1946180617662028866698284321/7526605995063167170362208*c_1100\ _0^3 + 432070540007989332344314429/7526605995063167170362208*c_1100\ _0^2 - 2462122033253108925850943/235206437345723974073819*c_1100_0 - 2890975428101402654145975/1881651498765791792590552, c_0011_12 - 16086113298168809208945723/7526605995063167170362208*c_1100\ _0^11 - 389415297001527857065655/7526605995063167170362208*c_1100_0\ ^10 + 105201722762954220101310737/3763302997531583585181104*c_1100_\ 0^9 + 26184751079493743278174925/940825749382895896295276*c_1100_0^\ 8 - 115305996392754864392886945/940825749382895896295276*c_1100_0^7 - 2049621872953295788875610425/7526605995063167170362208*c_1100_0^6 - 716743710988129911590024441/7526605995063167170362208*c_1100_0^5 + 1651096440883649673180212151/7526605995063167170362208*c_1100_0^4 + 1756961920236692909030913905/7526605995063167170362208*c_1100_0^3 + 447626535088165733188903389/7526605995063167170362208*c_1100_0^2 - 9635891317408044445695215/940825749382895896295276*c_1100_0 - 3430073412018759714586475/1881651498765791792590552, c_0011_3 - 14247978979160574665745273/7526605995063167170362208*c_1100_\ 0^11 - 2814993454625125784112101/7526605995063167170362208*c_1100_0\ ^10 + 96272647341012175756438375/3763302997531583585181104*c_1100_0\ ^9 + 25788343032924693780450575/940825749382895896295276*c_1100_0^8 - 106099004171442905487551951/940825749382895896295276*c_1100_0^7 - 1909511815067259498380204163/7526605995063167170362208*c_1100_0^6 - 645902110462032914836321323/7526605995063167170362208*c_1100_0^5 + 1533104223371705981597557653/7526605995063167170362208*c_1100_0^4 + 1584371205641003808836600371/7526605995063167170362208*c_1100_0^3 + 412955612991844179170346151/7526605995063167170362208*c_1100_0^2 - 2799305380080361530637963/470412874691447948147638*c_1100_0 - 2491113640346301243633837/1881651498765791792590552, c_0011_6 + 1, c_0101_0 - 4722635589257084234187465/7526605995063167170362208*c_1100_0\ ^11 - 724367619675745585504949/7526605995063167170362208*c_1100_0^1\ 0 + 31087432189501297311109479/3763302997531583585181104*c_1100_0^9 + 8561454160997881284051423/940825749382895896295276*c_1100_0^8 - 33315718271731554842143383/940825749382895896295276*c_1100_0^7 - 631623790041410163523291443/7526605995063167170362208*c_1100_0^6 - 273269355180269101183835643/7526605995063167170362208*c_1100_0^5 + 464545097301939536262050981/7526605995063167170362208*c_1100_0^4 + 569891463570923289176872291/7526605995063167170362208*c_1100_0^3 + 183935679285023010169739703/7526605995063167170362208*c_1100_0^2 - 218228657439641757298447/470412874691447948147638*c_1100_0 - 775589945825198328894613/1881651498765791792590552, c_0101_10 - 19693083858944593861441431/7526605995063167170362208*c_1100\ _0^11 + 7285689524702880862150373/7526605995063167170362208*c_1100_\ 0^10 + 125045569088520227487591121/3763302997531583585181104*c_1100\ _0^9 + 20231399134191229837242421/940825749382895896295276*c_1100_0\ ^8 - 141801854063895153189085117/940825749382895896295276*c_1100_0^\ 7 - 2057984702795066514071918893/7526605995063167170362208*c_1100_0\ ^6 - 349770326366064820319386997/7526605995063167170362208*c_1100_0\ ^5 + 1838445008521927701605578123/7526605995063167170362208*c_1100_\ 0^4 + 1575432638576838806715278125/7526605995063167170362208*c_1100\ _0^3 + 302841423563495420740965593/7526605995063167170362208*c_1100\ _0^2 - 2743882896896914743892085/235206437345723974073819*c_1100_0 - 1342732744142549646516379/1881651498765791792590552, c_0101_11 - 19288841334671320612884333/7526605995063167170362208*c_1100\ _0^11 - 515107955908678241443921/7526605995063167170362208*c_1100_0\ ^10 + 128211394991244216288659383/3763302997531583585181104*c_1100_\ 0^9 + 30425305643824414840052283/940825749382895896295276*c_1100_0^\ 8 - 143323040002476828487187879/940825749382895896295276*c_1100_0^7 - 2419597259577707190369320959/7526605995063167170362208*c_1100_0^6 - 671270639425820905468343775/7526605995063167170362208*c_1100_0^5 + 2052463894494942563134665585/7526605995063167170362208*c_1100_0^4 + 1945590536197041625598459015/7526605995063167170362208*c_1100_0^3 + 414249763784423517414042491/7526605995063167170362208*c_1100_0^2 - 12386523497658988523711733/940825749382895896295276*c_1100_0 - 2624016396774167702457781/1881651498765791792590552, c_0101_2 - 92319093178009721436231/69051431147368506150112*c_1100_0^11 - 19377012315233145138531/69051431147368506150112*c_1100_0^10 + 633460867102175043228397/34525715573684253075056*c_1100_0^9 + 163536359242127260575289/8631428893421063268764*c_1100_0^8 - 708318476552646383296681/8631428893421063268764*c_1100_0^7 - 12221239274058165369245757/69051431147368506150112*c_1100_0^6 - 3460869795326458203305613/69051431147368506150112*c_1100_0^5 + 10108179509398394351414115/69051431147368506150112*c_1100_0^4 + 9550756990459859162011749/69051431147368506150112*c_1100_0^3 + 2284913527073657922462753/69051431147368506150112*c_1100_0^2 - 24663978509069953660745/8631428893421063268764*c_1100_0 - 17298740215420014290295/17262857786842126537528, c_0101_5 + 27081009718204620294576135/7526605995063167170362208*c_1100_\ 0^11 - 6457097753531017513759885/7526605995063167170362208*c_1100_0\ ^10 - 175280654143685319719482869/3763302997531583585181104*c_1100_\ 0^9 - 32434833574054723776863853/940825749382895896295276*c_1100_0^\ 8 + 198711187900821566991599773/940825749382895896295276*c_1100_0^7 + 3005356823614397388698046077/7526605995063167170362208*c_1100_0^6 + 572964557575204784873715837/7526605995063167170362208*c_1100_0^5 - 2671125118980501588853450675/7526605995063167170362208*c_1100_0^4 - 2307399948218066683460142965/7526605995063167170362208*c_1100_0^3 - 433364690800568670588010769/7526605995063167170362208*c_1100_0^2 + 16636400870510701165839579/940825749382895896295276*c_1100_0 + 3023878184529269112969919/1881651498765791792590552, c_1001_3 - 2092598911378757514598047/3763302997531583585181104*c_1100_0\ ^11 - 351449556132356482006111/3763302997531583585181104*c_1100_0^1\ 0 + 13612706413437548022271551/1881651498765791792590552*c_1100_0^9 + 3981439937766411188872037/470412874691447948147638*c_1100_0^8 - 14446145113602224854106861/470412874691447948147638*c_1100_0^7 - 288698367097459736566208325/3763302997531583585181104*c_1100_0^6 - 134333651385724485338004753/3763302997531583585181104*c_1100_0^5 + 215656328423640498646709559/3763302997531583585181104*c_1100_0^4 + 271669346840439580088659865/3763302997531583585181104*c_1100_0^3 + 81950019270407732810953037/3763302997531583585181104*c_1100_0^2 - 2910237102672098112254721/940825749382895896295276*c_1100_0 - 1243601227815655739291117/940825749382895896295276, c_1100_0^12 - 5/117*c_1100_0^11 - 508/39*c_1100_0^10 - 1412/117*c_1100_0^9 + 744/13*c_1100_0^8 + 14311/117*c_1100_0^7 + 4781/117*c_1100_0^6 - 3745/39*c_1100_0^5 - 4003/39*c_1100_0^4 - 3545/117*c_1100_0^3 + 218/117*c_1100_0^2 + 100/117*c_1100_0 + 8/117 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.210 Total time: 1.419 seconds, Total memory usage: 32.09MB