Magma V2.19-8 Wed Aug 21 2013 01:04:26 on localhost [Seed = 2901062892] Type ? for help. Type -D to quit. Loading file "L14n24190__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24190 geometric_solution 11.39164917 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 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 0 0 0 0 0 -1 0 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 0.017330186771 1.074915434699 0 5 7 6 0132 0132 0132 0132 1 0 1 0 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 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 0.808602111692 0.843847701653 8 0 9 7 0132 0132 0132 1230 0 0 1 0 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 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.097859671768 0.770384620981 10 10 8 0 0132 1302 2031 0132 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 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 0.246053526854 1.082594889631 9 5 0 8 2031 2031 0132 2031 0 0 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 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 0.062867870187 1.103445297732 4 1 11 9 1302 0132 0132 3201 1 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.509394215311 0.606234502235 12 12 1 10 0132 3120 0132 3201 1 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 2 -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 1.477266867070 1.117272524803 2 11 12 1 3012 0132 3120 0132 1 0 0 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 1 -2 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 0.814474939406 0.488870951786 2 4 11 3 0132 1302 3120 1302 0 0 0 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 0 0 0 0 -1 1 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.385440144504 1.261564560052 11 5 4 2 0132 2310 1302 0132 0 0 0 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 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 1.924018253997 0.988569050651 3 6 12 3 0132 2310 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.433191290547 0.622021183311 9 7 8 5 0132 0132 3120 0132 1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.523429739952 0.506693787414 6 6 7 10 0132 3120 3120 0132 1 0 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 0 0 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.092120329783 0.791595516465 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_10'], 'c_1001_11' : negation(d['c_0110_4']), 'c_1001_10' : d['c_0011_12'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : negation(d['c_1001_12']), 'c_1001_4' : negation(d['c_0110_5']), 'c_1001_7' : negation(d['c_1001_12']), 'c_1001_6' : negation(d['c_1001_12']), 'c_1001_1' : negation(d['c_0110_4']), 'c_1001_0' : d['c_0101_7'], 'c_1001_3' : negation(d['c_0101_11']), 'c_1001_2' : negation(d['c_0110_5']), 'c_1001_9' : d['c_0110_4'], 'c_1001_8' : d['c_0110_4'], 'c_1010_12' : d['c_0011_12'], 'c_1010_11' : negation(d['c_1001_12']), 'c_1010_10' : negation(d['c_0011_10']), '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_0101_11'], 'c_0101_10' : d['c_0101_0'], 's_2_0' : 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' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(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' : negation(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_1100_8' : negation(d['c_0101_11']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_11'], 'c_1100_4' : negation(d['c_1010_8']), 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : negation(d['c_0011_10']), 'c_1100_0' : negation(d['c_1010_8']), 'c_1100_3' : negation(d['c_1010_8']), 'c_1100_2' : d['c_0101_1'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : negation(d['c_0101_7']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0110_4']), 'c_1010_6' : negation(d['c_0011_12']), 'c_1010_5' : negation(d['c_0110_4']), 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_0101_7'], 'c_1010_2' : d['c_0101_7'], 'c_1010_1' : negation(d['c_1001_12']), 'c_1010_0' : negation(d['c_0110_5']), 'c_1010_9' : negation(d['c_0110_5']), 'c_1010_8' : d['c_1010_8'], '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' : 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' : negation(d['c_0101_7']), '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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_12']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_4']), 'c_0110_10' : negation(d['c_0101_11']), 'c_0110_12' : d['c_0101_0'], 'c_0101_12' : d['c_0011_10'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_11']), 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_4']), 'c_0101_8' : negation(d['c_0011_11']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_11']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10']})} 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_4, c_0101_0, c_0101_1, c_0101_11, c_0101_7, c_0110_4, c_0110_5, c_1001_12, c_1010_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 3942795493686332901148906317071470222926792948943/26706804070324248\ 958344547515148132561310117250*c_1010_8^13 - 43958565605020399064463347344915105523100244558/9470497897278102467\ 4980664947333803408901125*c_1010_8^12 - 337388292343488111970595534103147887576275183/916499796510784109757\ 8774027161335813764625*c_1010_8^11 + 185746049766971365644596114568233628561734642797/580582697180961933\ 877055380764089838289350375*c_1010_8^10 + 40038027294482135815640551807293705035252832048283/1335340203516212\ 4479172273757574066280655058625*c_1010_8^9 - 46308364727303122573458059499676595165778687045658/1335340203516212\ 4479172273757574066280655058625*c_1010_8^8 - 83795368996999292526623940941212850628957617657683/2670680407032424\ 8958344547515148132561310117250*c_1010_8^7 - 1281919118548894143569247551272218056382857086258/19076288621660177\ 82738896251082009468665008375*c_1010_8^6 + 8284346675821020086107568406570783215538903215969/76305154486640711\ 3095558500432803787466003350*c_1010_8^5 - 75158595699595270371363615226143719106764641335773/2670680407032424\ 8958344547515148132561310117250*c_1010_8^4 - 81302403153945911102682593639825398100653188107299/1335340203516212\ 4479172273757574066280655058625*c_1010_8^3 - 4197911798424834744945998188765635499110857684958/44511340117207081\ 59724091252524688760218352875*c_1010_8^2 + 9445605046089068130271352635991874154676103462341/20543695438710960\ 73718811347319087120100778250*c_1010_8 - 33118131786444390978046812854906592494016648379277/2670680407032424\ 8958344547515148132561310117250, c_0011_0 - 1, c_0011_10 + 11089860071349996605113593917902112/10498243888107529332414\ 05418020219*c_1010_8^13 - 762917734669196143538013219534229/2233668\ 9123633041132795859957877*c_1010_8^12 - 27719863377848050271859336943339/22336689123633041132795859957877*c\ _1010_8^11 + 1190911611814097351183422003675427/4564453864394577970\ 6148061653053*c_1010_8^10 + 227731492658660063038453583754286916/10\ 49824388810752933241405418020219*c_1010_8^9 - 278641936741199808428351652064704835/104982438881075293324140541802\ 0219*c_1010_8^8 - 244617277824321453306318103133489923/104982438881\ 0752933241405418020219*c_1010_8^7 - 32759209853350168327996337416850242/1049824388810752933241405418020\ 219*c_1010_8^6 + 855699025850162969125040787347557766/1049824388810\ 752933241405418020219*c_1010_8^5 - 226072497925778681213461614276443361/104982438881075293324140541802\ 0219*c_1010_8^4 - 489620633179670476671113480939764299/104982438881\ 0752933241405418020219*c_1010_8^3 - 76681474890511902816668349450922702/1049824388810752933241405418020\ 219*c_1010_8^2 + 357867269183925398474444938972254371/1049824388810\ 752933241405418020219*c_1010_8 - 9369152474974608812250260910779358\ 6/1049824388810752933241405418020219, c_0011_11 + 6731549895178164099868924141666145/104982438881075293324140\ 5418020219*c_1010_8^13 - 357209450363232686954411235187817/22336689\ 123633041132795859957877*c_1010_8^12 - 237613141977403989557968220255054/22336689123633041132795859957877*\ c_1010_8^11 + 180979724214977468855524818376334/4564453864394577970\ 6148061653053*c_1010_8^10 + 136259065926977386596834084439301175/10\ 49824388810752933241405418020219*c_1010_8^9 - 69525090448824347563763808537431816/1049824388810752933241405418020\ 219*c_1010_8^8 - 159492257929623030918235525001893705/1049824388810\ 752933241405418020219*c_1010_8^7 - 141588754680735864545801790763279250/104982438881075293324140541802\ 0219*c_1010_8^6 + 366933279129862163059929658293311700/104982438881\ 0752933241405418020219*c_1010_8^5 + 70594219241951339185830732651864510/1049824388810752933241405418020\ 219*c_1010_8^4 - 163342853172887107917485571388194479/1049824388810\ 752933241405418020219*c_1010_8^3 - 113481373267809963503280012942118278/104982438881075293324140541802\ 0219*c_1010_8^2 + 110687706920963875468108582092635277/104982438881\ 0752933241405418020219*c_1010_8 - 190216660042149301962297664825423\ 50/1049824388810752933241405418020219, c_0011_12 - 16131517612003216562508505903299359/10498243888107529332414\ 05418020219*c_1010_8^13 + 1076448207152928391272715590445120/223366\ 89123633041132795859957877*c_1010_8^12 + 169110147108673933116344329789362/22336689123633041132795859957877*\ c_1010_8^11 - 1691035624064307113592168840845142/456445386439457797\ 06148061653053*c_1010_8^10 - 341131909472604974976759070276102539/1\ 049824388810752933241405418020219*c_1010_8^9 + 362998958442671874124732831092661495/104982438881075293324140541802\ 0219*c_1010_8^8 + 405289817478919205874918857673389535/104982438881\ 0752933241405418020219*c_1010_8^7 + 127064923460718555621444669234325398/104982438881075293324140541802\ 0219*c_1010_8^6 - 1230363840275815405661905246177131857/10498243888\ 10752933241405418020219*c_1010_8^5 + 141752031963362111221287839969784701/104982438881075293324140541802\ 0219*c_1010_8^4 + 670195961210430277002912301642117108/104982438881\ 0752933241405418020219*c_1010_8^3 + 218782414869434528099940871090882581/104982438881075293324140541802\ 0219*c_1010_8^2 - 441845100477576950605508142015806595/104982438881\ 0752933241405418020219*c_1010_8 + 101578605161722238829937642305929\ 953/1049824388810752933241405418020219, c_0011_4 + 2446899211002159520709451224139015/1049824388810752933241405\ 418020219*c_1010_8^13 - 215658897687497293931264992038625/223366891\ 23633041132795859957877*c_1010_8^12 + 130888006074863051119977553878292/22336689123633041132795859957877*\ c_1010_8^11 + 417277241434101783842883445280198/4564453864394577970\ 6148061653053*c_1010_8^10 + 44806323535504502348327497478085177/104\ 9824388810752933241405418020219*c_1010_8^9 - 113006889855414061021802851087702678/104982438881075293324140541802\ 0219*c_1010_8^8 - 20165011587517232076078227602073618/1049824388810\ 752933241405418020219*c_1010_8^7 + 70787467841681800416661909911058507/1049824388810752933241405418020\ 219*c_1010_8^6 + 237526645356273838683659735618390374/1049824388810\ 752933241405418020219*c_1010_8^5 - 215771734771957544816974911136777044/104982438881075293324140541802\ 0219*c_1010_8^4 - 164502412417733198678288444829502328/104982438881\ 0752933241405418020219*c_1010_8^3 + 61491850854933704058102829108029123/1049824388810752933241405418020\ 219*c_1010_8^2 + 150000720915518079924039594132734271/1049824388810\ 752933241405418020219*c_1010_8 - 5206225794844359836574269574221077\ 4/1049824388810752933241405418020219, c_0101_0 + 10645388777568456104623156634089770/104982438881075293324140\ 5418020219*c_1010_8^13 - 710707545423569129311101409470091/22336689\ 123633041132795859957877*c_1010_8^12 - 78519461290337387275798980893680/22336689123633041132795859957877*c\ _1010_8^11 + 1041763026369791224693812168117136/4564453864394577970\ 6148061653053*c_1010_8^10 + 219583131374464679735262938198775753/10\ 49824388810752933241405418020219*c_1010_8^9 - 245856120124475357810370935897395858/104982438881075293324140541802\ 0219*c_1010_8^8 - 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