Magma V2.19-8 Wed Aug 21 2013 00:47:49 on localhost [Seed = 1864989474] Type ? for help. Type -D to quit. Loading file "K14n8273__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n8273 geometric_solution 11.35327886 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 13 1 2 1 3 0132 0132 3012 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 -1 1 0 0 0 1 -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 0.337307222931 0.507204108008 0 0 5 4 0132 1230 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 -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 0.951573680953 0.728304422128 6 0 8 7 0132 0132 0132 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 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 0 0 0 0 0.375709137441 0.623133974691 5 9 0 6 0132 0132 0132 2103 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 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 1.090894940207 1.367008440945 10 11 1 7 0132 0132 0132 2103 0 0 0 0 0 0 -1 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 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 0.451229498660 0.767932308599 3 8 9 1 0132 1023 1302 0132 0 0 0 0 0 1 -1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.643354310973 0.446915325535 2 12 8 3 0132 0132 2310 2103 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 -1 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 1.192368313929 0.648851317609 10 12 2 4 1023 3012 0132 2103 0 0 0 0 0 0 0 0 1 0 -1 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 0.989892962434 2.603355096501 5 6 10 2 1023 3201 3120 0132 0 0 0 0 0 0 0 0 -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 -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 0.059093937597 0.782943580293 5 3 12 11 2031 0132 3120 3012 0 0 0 0 0 0 0 0 1 0 -1 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.143047030277 0.478950029160 4 7 8 11 0132 1023 3120 1023 0 0 0 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 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 0.713981987636 1.661788370121 12 4 9 10 3012 0132 1230 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.063632146353 0.467785476470 7 6 9 11 1230 0132 3120 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.854655903996 0.426964272333 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_12'], 'c_1001_10' : d['c_0101_6'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : d['c_0011_0'], 'c_1001_6' : d['c_0101_11'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_0101_11']), 'c_1001_2' : negation(d['c_0101_11']), 'c_1001_9' : negation(d['c_1001_12']), 'c_1001_8' : negation(d['c_0101_6']), 'c_1010_12' : d['c_0101_11'], 'c_1010_11' : d['c_0101_0'], 'c_1010_10' : negation(d['c_0101_9']), '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' : 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_1100_9' : negation(d['c_0101_12']), 'c_1100_8' : negation(d['c_0101_10']), 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0101_9'], 'c_1100_4' : d['c_0101_9'], 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_1' : d['c_0101_9'], 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : negation(d['c_0101_10']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_8'], 'c_1100_10' : negation(d['c_0101_8']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_12']), 'c_1010_6' : d['c_1001_12'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_12'], 'c_1010_3' : negation(d['c_1001_12']), 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : negation(d['c_0101_11']), 'c_1010_9' : negation(d['c_0101_11']), 'c_1010_8' : negation(d['c_0101_11']), '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' : negation(d['c_0101_9']), '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_3']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_10'], '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' : negation(d['c_0101_9']), 'c_0110_10' : d['c_0101_0'], 'c_0110_12' : d['c_0011_10'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], '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_0101_8'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_10'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0101_9']), '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_3, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_2, c_0101_6, c_0101_8, c_0101_9, c_1001_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 3101/14144*c_0101_9^3 - 2291/7072*c_0101_9^2 - 3531/14144*c_0101_9 + 1121/14144, c_0011_0 - 1, c_0011_10 + c_0101_9^3, c_0011_3 - 1, c_0101_0 + 1, c_0101_1 + 2*c_0101_9^3 + 2*c_0101_9^2, c_0101_10 + c_0101_9^3 + 2*c_0101_9^2, c_0101_11 - c_0101_9, c_0101_12 + c_0101_9^2 - 1, c_0101_2 + 2*c_0101_9^3 + 2*c_0101_9^2 + c_0101_9, c_0101_6 - c_0101_9^2 - 1, c_0101_8 - 1, c_0101_9^4 + c_0101_9^3 + c_0101_9^2 + 1, c_1001_12 - 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_2, c_0101_6, c_0101_8, c_0101_9, c_1001_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 102582096813769753/25272768114002730*c_1001_12^11 + 185992433336594617/20218214491202184*c_1001_12^10 + 4495268698872059717/101091072456010920*c_1001_12^9 - 174409158425626937/12636384057001365*c_1001_12^8 + 5672571390011236973/25272768114002730*c_1001_12^7 - 13738311980706561019/101091072456010920*c_1001_12^6 + 142117635989746344263/101091072456010920*c_1001_12^5 - 256239485318855100317/101091072456010920*c_1001_12^4 + 435386095449247191571/101091072456010920*c_1001_12^3 - 143927106249630283481/50545536228005460*c_1001_12^2 + 1567358432969581444/12636384057001365*c_1001_12 + 2039961887796996193/8424256038000910, c_0011_0 - 1, c_0011_10 + 100079527589/1243126813281*c_1001_12^11 + 1020567971929/4972507253124*c_1001_12^10 + 4960411048613/4972507253124*c_1001_12^9 + 241980973065/1657502417708*c_1001_12^8 + 6402214301275/1243126813281*c_1001_12^7 - 6610017989897/4972507253124*c_1001_12^6 + 153086977711607/4972507253124*c_1001_12^5 - 53639059494964/1243126813281*c_1001_12^4 + 464512144642339/4972507253124*c_1001_12^3 - 317523913550059/4972507253124*c_1001_12^2 + 111950431509371/2486253626562*c_1001_12 - 26672886724463/1243126813281, c_0011_3 + 14554857416/414375604427*c_1001_12^11 + 113211887063/1243126813281*c_1001_12^10 + 1093955594443/2486253626562*c_1001_12^9 + 135276777135/1657502417708*c_1001_12^8 + 2797222333738/1243126813281*c_1001_12^7 - 1289431518559/2486253626562*c_1001_12^6 + 16719216152009/1243126813281*c_1001_12^5 - 91397579939099/4972507253124*c_1001_12^4 + 49874632771627/1243126813281*c_1001_12^3 - 45492070251465/1657502417708*c_1001_12^2 + 24336684141142/1243126813281*c_1001_12 - 11679115541566/1243126813281, c_0101_0 - 132282713443/2486253626562*c_1001_12^11 - 678459864979/4972507253124*c_1001_12^10 - 551243915347/828751208854*c_1001_12^9 - 48348764868/414375604427*c_1001_12^8 - 8574350758927/2486253626562*c_1001_12^7 + 1377257339841/1657502417708*c_1001_12^6 - 25487482493422/1243126813281*c_1001_12^5 + 140519017040605/4972507253124*c_1001_12^4 - 25930070264126/414375604427*c_1001_12^3 + 53469576151696/1243126813281*c_1001_12^2 - 26246375703517/828751208854*c_1001_12 + 5918422509624/414375604427, c_0101_1 - 81200861243/828751208854*c_1001_12^11 - 1252206022589/4972507253124*c_1001_12^10 - 1518438071825/1243126813281*c_1001_12^9 - 1019566314391/4972507253124*c_1001_12^8 - 15619057337719/2486253626562*c_1001_12^7 + 2565002023181/1657502417708*c_1001_12^6 - 15530912991063/414375604427*c_1001_12^5 + 64589778170171/1243126813281*c_1001_12^4 - 140685156396607/1243126813281*c_1001_12^3 + 385060065072145/4972507253124*c_1001_12^2 - 45712197760227/828751208854*c_1001_12 + 10938226264640/414375604427, c_0101_10 + 92123313929/1243126813281*c_1001_12^11 + 319067930621/1657502417708*c_1001_12^10 + 1154434793294/1243126813281*c_1001_12^9 + 894325937003/4972507253124*c_1001_12^8 + 5911876726901/1243126813281*c_1001_12^7 - 5044964940949/4972507253124*c_1001_12^6 + 35273779894697/1243126813281*c_1001_12^5 - 15860763355899/414375604427*c_1001_12^4 + 210827525445833/2486253626562*c_1001_12^3 - 91934942805583/1657502417708*c_1001_12^2 + 49708382059862/1243126813281*c_1001_12 - 21884731014443/1243126813281, c_0101_11 + 60021691772/1243126813281*c_1001_12^11 + 158132401903/1243126813281*c_1001_12^10 + 756432898016/1243126813281*c_1001_12^9 + 168260063690/1243126813281*c_1001_12^8 + 2557813068623/828751208854*c_1001_12^7 - 1394432169605/2486253626562*c_1001_12^6 + 22859540716417/1243126813281*c_1001_12^5 - 60598383511889/2486253626562*c_1001_12^4 + 66938275532947/1243126813281*c_1001_12^3 - 14072312191970/414375604427*c_1001_12^2 + 62354246543149/2486253626562*c_1001_12 - 4688888096398/414375604427, c_0101_12 - 22773694439/414375604427*c_1001_12^11 - 174458869514/1243126813281*c_1001_12^10 - 851896280402/1243126813281*c_1001_12^9 - 569680532027/4972507253124*c_1001_12^8 - 1478083846157/414375604427*c_1001_12^7 + 2152551132059/2486253626562*c_1001_12^6 - 52728416761115/2486253626562*c_1001_12^5 + 146205398220425/4972507253124*c_1001_12^4 - 161144794829537/2486253626562*c_1001_12^3 + 222374928968117/4972507253124*c_1001_12^2 - 41542644292103/1243126813281*c_1001_12 + 20039767885190/1243126813281, c_0101_2 - 37328551855/828751208854*c_1001_12^11 - 287670756577/2486253626562*c_1001_12^10 - 2797748155247/4972507253124*c_1001_12^9 - 121938857929/1243126813281*c_1001_12^8 - 7231473872209/2486253626562*c_1001_12^7 + 573663775103/828751208854*c_1001_12^6 - 28722283021711/1657502417708*c_1001_12^5 + 59400744539881/2486253626562*c_1001_12^4 - 260894060372791/4972507253124*c_1001_12^3 + 44856392465314/1243126813281*c_1001_12^2 - 21959776144415/828751208854*c_1001_12 + 5286480571126/414375604427, c_0101_6 - 20121623219/414375604427*c_1001_12^11 - 317235648995/2486253626562*c_1001_12^10 - 3064913246171/4972507253124*c_1001_12^9 - 738063549835/4972507253124*c_1001_12^8 - 3943913964097/1243126813281*c_1001_12^7 + 456674869195/828751208854*c_1001_12^6 - 93464975389411/4972507253124*c_1001_12^5 + 121978320511357/4972507253124*c_1001_12^4 - 279432495908401/4972507253124*c_1001_12^3 + 180655843834807/4972507253124*c_1001_12^2 - 23517207064853/828751208854*c_1001_12 + 15251612175170/1243126813281, c_0101_8 + 27803926233/828751208854*c_1001_12^11 + 423043382107/4972507253124*c_1001_12^10 + 512254567718/1243126813281*c_1001_12^9 + 234918518807/4972507253124*c_1001_12^8 + 5265479546599/2486253626562*c_1001_12^7 - 2814419670349/4972507253124*c_1001_12^6 + 15919717326308/1243126813281*c_1001_12^5 - 44751514648361/2486253626562*c_1001_12^4 + 47852838448819/1243126813281*c_1001_12^3 - 129383494103285/4972507253124*c_1001_12^2 + 45114505174855/2486253626562*c_1001_12 - 10033273401181/1243126813281, c_0101_9 - 48026328877/1243126813281*c_1001_12^11 - 255815499127/2486253626562*c_1001_12^10 - 611838496433/1243126813281*c_1001_12^9 - 319744725095/2486253626562*c_1001_12^8 - 6223177294553/2486253626562*c_1001_12^7 + 150374443859/414375604427*c_1001_12^6 - 18473500388659/1243126813281*c_1001_12^5 + 47377125661399/2486253626562*c_1001_12^4 - 53917962700345/1243126813281*c_1001_12^3 + 22360366098779/828751208854*c_1001_12^2 - 17543382885101/828751208854*c_1001_12 + 11929495378993/1243126813281, c_1001_12^12 + 2*c_1001_12^11 + 11*c_1001_12^10 - 5*c_1001_12^9 + 63*c_1001_12^8 - 52*c_1001_12^7 + 392*c_1001_12^6 - 747*c_1001_12^5 + 1459*c_1001_12^4 - 1443*c_1001_12^3 + 1012*c_1001_12^2 - 588*c_1001_12 + 152 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 5.040 Total time: 5.250 seconds, Total memory usage: 81.56MB