Magma V2.19-8 Tue Aug 20 2013 23:40:02 on localhost [Seed = 3499537533] Type ? for help. Type -D to quit. Loading file "K14n26229__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n26229 geometric_solution 9.96972948 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 1 0132 0132 0132 2031 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 -1 0 1 0 0 17 -17 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.647051420761 0.528880218105 0 0 5 4 0132 1302 0132 0132 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 17 1 -18 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 0.073509669705 0.757285112490 4 0 7 6 1023 0132 0132 0132 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 1 0 -1 18 0 0 -18 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.571183518556 0.728931713304 7 8 8 0 0321 0132 3201 0132 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 17 -17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.860595937390 0.597979475332 7 2 1 9 1302 1023 0132 0132 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 -18 18 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 1.055486789998 0.688253375936 8 6 10 1 3012 0321 0132 0132 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 1 0 -1 0 0 0 0 0 1 0 -1 -17 18 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.073509669705 0.757285112490 10 8 2 5 0321 0213 0132 0321 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 1 -1 0 0 18 -18 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.296004060863 0.950018329126 3 4 10 2 0321 2031 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.045700155994 0.474243403192 3 3 6 5 2310 0132 0213 1230 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 -17 0 0 17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.771185246200 0.463290110374 9 10 4 9 3012 3201 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 1.045418320887 0.818273409486 6 7 9 5 0321 0213 2310 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.055486789998 0.688253375936 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_10']), 'c_1001_10' : negation(d['c_0101_9']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : negation(d['c_0101_9']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0101_10']), 'c_1001_8' : d['c_1001_0'], 'c_1010_10' : d['c_1001_5'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], '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_10' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0011_9'], 'c_1100_8' : d['c_0101_1'], 'c_1100_5' : d['c_0011_9'], 'c_1100_4' : d['c_0011_9'], 'c_1100_7' : d['c_1001_5'], 'c_1100_6' : d['c_1001_5'], 'c_1100_1' : d['c_0011_9'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_1001_5'], 'c_1100_10' : d['c_0011_9'], 'c_1010_7' : negation(d['c_0011_0']), 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0101_10']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0101_9'], 'c_1010_8' : negation(d['c_0011_6']), 's_3_1' : d['1'], 's_3_0' : negation(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'], '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' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_10'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_7'], '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_10' : negation(d['c_0011_6']), 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : negation(d['c_0101_10']), 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : negation(d['c_0011_7']), 'c_0101_3' : negation(d['c_0011_10']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_7']), 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_6'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_9'], 'c_0110_8' : d['c_0011_10'], '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_10']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : negation(d['c_0011_3']), 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0011_7, c_0011_9, c_0101_1, c_0101_10, c_0101_9, c_1001_0, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 377/8*c_1001_5^3 + 1131/8*c_1001_5^2 - 305, c_0011_0 - 1, c_0011_10 + 1/4*c_1001_5^3 + 3/4*c_1001_5^2 + 1, c_0011_3 - 1/4*c_1001_5^3 - 1/4*c_1001_5^2 + 1/2*c_1001_5, c_0011_6 + 1/2*c_1001_5^3 + 3/2*c_1001_5^2 + c_1001_5 + 1, c_0011_7 + 1/2*c_1001_5^2 + 1/2*c_1001_5, c_0011_9 + 1/2*c_1001_5^3 + 3/2*c_1001_5^2 + 1, c_0101_1 - 1/4*c_1001_5^3 - 3/4*c_1001_5^2 - 1, c_0101_10 + 1/4*c_1001_5^3 + 3/4*c_1001_5^2 + 1, c_0101_9 - 1/4*c_1001_5^3 - 3/4*c_1001_5^2 - 1, c_1001_0 - 1/4*c_1001_5^3 - 3/4*c_1001_5^2 + 1, c_1001_5^4 + 4*c_1001_5^3 + 5*c_1001_5^2 + 2*c_1001_5 + 4 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0011_7, c_0011_9, c_0101_1, c_0101_10, c_0101_9, c_1001_0, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 1/2, c_0011_0 - 1, c_0011_10 - 1/2*c_1001_5^3 + c_1001_5^2 + 5/2, c_0011_3 - c_1001_5^3 + c_1001_5^2 + 2, c_0011_6 + 1/2*c_1001_5^3 - c_1001_5^2 + c_1001_5 - 3/2, c_0011_7 - 1/2*c_1001_5^3 + 3/2, c_0011_9 - 1/2*c_1001_5^3 + c_1001_5^2 + 1/2, c_0101_1 + 1, c_0101_10 - 1, c_0101_9 + 1, c_1001_0 + 1/2*c_1001_5^3 - c_1001_5^2 - 1/2, c_1001_5^4 - c_1001_5^3 - 3*c_1001_5 - 1 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0011_7, c_0011_9, c_0101_1, c_0101_10, c_0101_9, c_1001_0, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 326292245785887001895408941989/756129568304790640769440192*c_1001_5\ ^15 + 615437096824960042280878852715/378064784152395320384720096*c_\ 1001_5^14 + 25636381745432173589465790735083/3024518273219162563077\ 760768*c_1001_5^13 - 50126011512709313489610908277473/3024518273219\ 162563077760768*c_1001_5^12 - 3752599427374047524840439623401/81743\ 737114031420623723264*c_1001_5^11 + 186419633900625068133997969418433/3024518273219162563077760768*c_10\ 01_5^10 + 18769886604389240356606385718059/189032392076197660192360\ 048*c_1001_5^9 - 354497934944773210964154061130239/3024518273219162\ 563077760768*c_1001_5^8 - 288254753143798940589563704203625/3024518\ 273219162563077760768*c_1001_5^7 + 174603909192013225498362955638117/3024518273219162563077760768*c_10\ 01_5^6 + 217947672586567864824510747514753/302451827321916256307776\ 0768*c_1001_5^5 - 4016445255864939310576817744399/30245182732191625\ 63077760768*c_1001_5^4 - 274636215096325684609721397381/85923814580\ 08984554198184*c_1001_5^3 - 11177763318999973085677975844887/302451\ 8273219162563077760768*c_1001_5^2 + 1113704858085782580655578068347/274956206656287505734341888*c_1001_\ 5 - 1049808903859704691502569747385/3024518273219162563077760768, c_0011_0 - 1, c_0011_10 + 1035342477952802682396/791486869750274922089*c_1001_5^15 - 4080458369952932180672/791486869750274922089*c_1001_5^14 - 19618408302001163961777/791486869750274922089*c_1001_5^13 + 42959683885394056643221/791486869750274922089*c_1001_5^12 + 2766746876137541624031/21391537020277700597*c_1001_5^11 - 164016393422091971739997/791486869750274922089*c_1001_5^10 - 208162431954457291922672/791486869750274922089*c_1001_5^9 + 312490472267214075503023/791486869750274922089*c_1001_5^8 + 172203920846400841459793/791486869750274922089*c_1001_5^7 - 161719309904965581715963/791486869750274922089*c_1001_5^6 - 143872339603195506628553/791486869750274922089*c_1001_5^5 + 28377546111937468354316/791486869750274922089*c_1001_5^4 + 68377322430993762226402/791486869750274922089*c_1001_5^3 - 2938252362546952887266/791486869750274922089*c_1001_5^2 - 8532715875068604243699/791486869750274922089*c_1001_5 + 2399215917971981387083/791486869750274922089, c_0011_3 - 19419975348247380060/791486869750274922089*c_1001_5^15 + 236211756761534036644/791486869750274922089*c_1001_5^14 - 417451538528747048131/791486869750274922089*c_1001_5^13 - 3127553377952275161308/791486869750274922089*c_1001_5^12 + 196758926148141930559/21391537020277700597*c_1001_5^11 + 10882307172940417264389/791486869750274922089*c_1001_5^10 - 32650621181858433075427/791486869750274922089*c_1001_5^9 - 6562741420240549639133/791486869750274922089*c_1001_5^8 + 60516149252321862565242/791486869750274922089*c_1001_5^7 - 26942462724818500177322/791486869750274922089*c_1001_5^6 - 20543609365063479256840/791486869750274922089*c_1001_5^5 + 1654497267341047688615/791486869750274922089*c_1001_5^4 + 15867157454012650276818/791486869750274922089*c_1001_5^3 + 197091353368534893678/791486869750274922089*c_1001_5^2 - 6610524965206037803575/791486869750274922089*c_1001_5 + 1434796940162725020068/791486869750274922089, c_0011_6 - 913803398754564410360/791486869750274922089*c_1001_5^15 + 3511968947495517548104/791486869750274922089*c_1001_5^14 + 17748083898559517367602/791486869750274922089*c_1001_5^13 - 36584748172797289420532/791486869750274922089*c_1001_5^12 - 2577276299478397876936/21391537020277700597*c_1001_5^11 + 140004522883219526724953/791486869750274922089*c_1001_5^10 + 203304692399233328069307/791486869750274922089*c_1001_5^9 - 273604635997844061306358/791486869750274922089*c_1001_5^8 - 185484647335381509291048/791486869750274922089*c_1001_5^7 + 155072147415637664769799/791486869750274922089*c_1001_5^6 + 138193736202164369264086/791486869750274922089*c_1001_5^5 - 20881009005903861125852/791486869750274922089*c_1001_5^4 - 69636431567577085881497/791486869750274922089*c_1001_5^3 + 442866043258977284407/791486869750274922089*c_1001_5^2 + 11379981709114972156583/791486869750274922089*c_1001_5 - 2506506000713061497172/791486869750274922089, c_0011_7 - 136931755089584027004/791486869750274922089*c_1001_5^15 + 746746071503622315456/791486869750274922089*c_1001_5^14 + 1694512922473688570389/791486869750274922089*c_1001_5^13 - 9193815531306033539157/791486869750274922089*c_1001_5^12 - 99668739881742577412/21391537020277700597*c_1001_5^11 + 37236575816407199171752/791486869750274922089*c_1001_5^10 - 10016484619534956349693/791486869750274922089*c_1001_5^9 - 62668631553657040765023/791486869750274922089*c_1001_5^8 + 43213074757092407259473/791486869750274922089*c_1001_5^7 + 18344198525787808801088/791486869750274922089*c_1001_5^6 - 3638424447927001764102/791486869750274922089*c_1001_5^5 - 13832132223874669255378/791486869750274922089*c_1001_5^4 + 254572815533068040506/791486869750274922089*c_1001_5^3 + 4886423750333354851590/791486869750274922089*c_1001_5^2 - 3783944783438059748047/791486869750274922089*c_1001_5 + 328467419759673211450/791486869750274922089, c_0011_9 + 1020537113866307652080/791486869750274922089*c_1001_5^15 - 3656083408498016169680/791486869750274922089*c_1001_5^14 - 20970171344451561164872/791486869750274922089*c_1001_5^13 + 36244510583136618369052/791486869750274922089*c_1001_5^12 + 3222846782029868895579/21391537020277700597*c_1001_5^11 - 134595564842918195073556/791486869750274922089*c_1001_5^10 - 276531471209351576874794/791486869750274922089*c_1001_5^9 + 268949976493397755631570/791486869750274922089*c_1001_5^8 + 296419336030749937030389/791486869750274922089*c_1001_5^7 - 158406784413806022379760/791486869750274922089*c_1001_5^6 - 192234653233901111282757/791486869750274922089*c_1001_5^5 - 4614557788708257101876/791486869750274922089*c_1001_5^4 + 87901140895423120444871/791486869750274922089*c_1001_5^3 + 10313972478548535071898/791486869750274922089*c_1001_5^2 - 14242047703598635512393/791486869750274922089*c_1001_5 + 2881993409454745894089/791486869750274922089, c_0101_1 + 2029201770324147294908/791486869750274922089*c_1001_5^15 - 8013567785791281384580/791486869750274922089*c_1001_5^14 - 38313352899283604681109/791486869750274922089*c_1001_5^13 + 84141896776503816711472/791486869750274922089*c_1001_5^12 + 5374335062260599153237/21391537020277700597*c_1001_5^11 - 318677741805583123740676/791486869750274922089*c_1001_5^10 - 400982040047116155078382/791486869750274922089*c_1001_5^9 + 597680966081771931981297/791486869750274922089*c_1001_5^8 + 328290220286738582766212/791486869750274922089*c_1001_5^7 - 286923507811976397503348/791486869750274922089*c_1001_5^6 - 286628896836526234577513/791486869750274922089*c_1001_5^5 + 42160991833231365043316/791486869750274922089*c_1001_5^4 + 130768670858123981976582/791486869750274922089*c_1001_5^3 - 1382857289580920083969/791486869750274922089*c_1001_5^2 - 14530424982223579166167/791486869750274922089*c_1001_5 + 3107902021311684151070/791486869750274922089, c_0101_10 - 1115398371569582884548/791486869750274922089*c_1001_5^15 + 4501598838295763836476/791486869750274922089*c_1001_5^14 + 20565269000724087313507/791486869750274922089*c_1001_5^13 - 47557148603706527290940/791486869750274922089*c_1001_5^12 - 2797058762782201276301/21391537020277700597*c_1001_5^11 + 178673218922363597015723/791486869750274922089*c_1001_5^10 + 197677347647882827009075/791486869750274922089*c_1001_5^9 - 324076330083927870674939/791486869750274922089*c_1001_5^8 - 142805572951357073475164/791486869750274922089*c_1001_5^7 + 131851360396338732733549/791486869750274922089*c_1001_5^6 + 148435160634361865313427/791486869750274922089*c_1001_5^5 - 21279982827327503917464/791486869750274922089*c_1001_5^4 - 61132239290546896095085/791486869750274922089*c_1001_5^3 + 939991246321942799562/791486869750274922089*c_1001_5^2 + 2358956403358332087495/791486869750274922089*c_1001_5 - 601396020598622653898/791486869750274922089, c_0101_9 + 1475619207079348826548/791486869750274922089*c_1001_5^15 - 5507972035499105746748/791486869750274922089*c_1001_5^14 - 29238869891160967126571/791486869750274922089*c_1001_5^13 + 55745499631111990691888/791486869750274922089*c_1001_5^12 + 4311504294302316173092/21391537020277700597*c_1001_5^11 - 207647120907839489990994/791486869750274922089*c_1001_5^10 - 347926036269366714165210/791486869750274922089*c_1001_5^9 + 401219565556476837126726/791486869750274922089*c_1001_5^8 + 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137368027079983945008027/791486869750274922089*c_1001_5^7 + 187371053914198187178427/791486869750274922089*c_1001_5^6 + 153444262008521280787262/791486869750274922089*c_1001_5^5 - 46288623355543326376298/791486869750274922089*c_1001_5^4 - 76167940790275790681922/791486869750274922089*c_1001_5^3 + 10913319456295821148794/791486869750274922089*c_1001_5^2 + 7595338200534227183510/791486869750274922089*c_1001_5 - 1277618543187966922892/791486869750274922089, c_1001_5^16 - 4*c_1001_5^15 - 75/4*c_1001_5^14 + 171/4*c_1001_5^13 + 97*c_1001_5^12 - 663/4*c_1001_5^11 - 777/4*c_1001_5^10 + 1277/4*c_1001_5^9 + 609/4*c_1001_5^8 - 351/2*c_1001_5^7 - 523/4*c_1001_5^6 + 38*c_1001_5^5 + 137/2*c_1001_5^4 - 17/2*c_1001_5^3 - 19/2*c_1001_5^2 + 13/4*c_1001_5 - 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.310 Total time: 0.520 seconds, Total memory usage: 32.09MB