Magma V2.19-8 Wed Aug 21 2013 00:45:36 on localhost [Seed = 3937205537] Type ? for help. Type -D to quit. Loading file "K14n7123__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n7123 geometric_solution 11.09840716 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 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 -1 1 0 1 0 -1 0 11 -11 0 0 11 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.178714737014 0.607775904842 0 5 3 6 0132 0132 1302 0132 0 0 0 0 0 0 0 0 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 1 -1 -1 0 1 0 -11 11 0 0 -11 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.838997823707 0.657469738462 7 0 9 8 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 -1 1 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 1 -1 0 0 0 10 -10 -10 0 0 10 0 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.949529270517 0.837375001893 1 6 10 0 2031 0321 0132 0132 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 1 0 -1 -1 0 0 1 -11 0 0 11 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.167946080165 1.008379036878 6 8 0 10 0132 0321 0132 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 -0.525849753010 2.031468618131 9 1 11 10 1230 0132 0132 1230 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 0 0 0 11 0 0 -11 0 0 0 0 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.483667816875 0.345387012446 4 12 1 3 0132 0132 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.459496345142 0.841806826022 2 9 11 9 0132 1230 1302 2310 0 0 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 -10 10 0 0 0 0 0 0 0 0 0 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.149288708980 1.644305757940 12 12 2 4 0321 0213 0132 0321 0 0 0 0 0 0 0 0 1 0 -1 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 -10 0 10 0 0 0 0 0 0 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.891042103744 0.466823645768 7 5 7 2 3201 3012 3012 0132 0 0 0 0 0 1 -1 0 0 0 -1 1 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 -11 10 1 0 0 10 -10 0 -11 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.506623413687 0.310489171251 5 11 4 3 3012 0213 0132 0132 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 11 -10 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.097099849093 0.729417388821 7 12 10 5 2031 0321 0213 0132 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 -10 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.846185541253 0.903834982400 8 6 8 11 0321 0132 0213 0321 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 10 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.499574388997 0.915230632865 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_1001_0'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_3'], 'c_1001_2' : negation(d['c_0101_5']), 'c_1001_9' : negation(d['c_0011_0']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_1001_5'], 'c_1010_11' : d['c_1001_5'], 'c_1010_10' : d['c_0101_3'], '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_0011_10'], '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' : 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_5']), 'c_1100_8' : negation(d['c_0101_5']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : d['c_0101_3'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0101_5']), 's_0_10' : d['1'], 'c_1100_11' : d['c_0101_3'], 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_2']), 'c_1010_6' : d['c_1001_0'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0101_5']), 'c_1010_9' : negation(d['c_0101_5']), 'c_1010_8' : d['c_1001_10'], '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_1001_10'], '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_11'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_12'], 'c_0011_7' : d['c_0011_0'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_5'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : negation(d['c_0011_11']), 'c_0101_12' : d['c_0011_11'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0011_11']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_2']), 'c_0101_8' : negation(d['c_0011_11']), '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_2'], 'c_0110_8' : negation(d['c_0011_12']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_11']), 'c_0110_5' : d['c_0011_10'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0011_3'])})} 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_0101_0, c_0101_2, c_0101_3, c_0101_5, c_1001_0, c_1001_10, c_1001_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 212193591907414238134061609137668345/639326346671446746193324119500\ 71*c_1100_0^17 - 6755334173338630382934269623712415/639326346671446\ 74619332411950071*c_1100_0^16 - 13232782286918711992672327985462465\ 1/2779679768136724983449235302177*c_1100_0^15 - 2698089370160210799077760513677295184/63932634667144674619332411950\ 071*c_1100_0^14 - 7799509600335375874566428028656768974/63932634667\ 144674619332411950071*c_1100_0^13 - 854123870732933434630175205411113926/639326346671446746193324119500\ 71*c_1100_0^12 + 498135421042472414487144967974496472/6393263466714\ 4674619332411950071*c_1100_0^11 + 196309722122861221199162356948910\ 16261/63932634667144674619332411950071*c_1100_0^10 + 32814050638877150579505377857848511940/6393263466714467461933241195\ 0071*c_1100_0^9 + 40376936131599633794469245440843391029/6393263466\ 7144674619332411950071*c_1100_0^8 + 36062616044243583011626794160223644278/6393263466714467461933241195\ 0071*c_1100_0^7 + 26433284687070011212669320181710437286/6393263466\ 7144674619332411950071*c_1100_0^6 + 15843167877859049900106183762893196019/6393263466714467461933241195\ 0071*c_1100_0^5 + 8004956577731465651594513367776626696/63932634667\ 144674619332411950071*c_1100_0^4 + 3155662087998428368477496639577915586/63932634667144674619332411950\ 071*c_1100_0^3 + 975544444922813130335749502276431702/6393263466714\ 4674619332411950071*c_1100_0^2 + 1681917209439980908485629598717201\ 70/63932634667144674619332411950071*c_1100_0 + 33299996507227987442182305080806983/6393263466714467461933241195007\ 1, c_0011_0 - 1, c_0011_10 - 152125283377916324094659360490/1606751311061690741878170694\ 9*c_1100_0^17 + 78703062503661311232435355557/160675131106169074187\ 81706949*c_1100_0^16 - 2167075563553109479785344685042/160675131106\ 16907418781706949*c_1100_0^15 - 786395869148346846645102389018/1606\ 7513110616907418781706949*c_1100_0^14 - 4333146699969185784065261752031/16067513110616907418781706949*c_110\ 0_0^13 + 1897501767460853884039462968253/16067513110616907418781706\ 949*c_1100_0^12 + 805853867809453741599904446161/160675131106169074\ 18781706949*c_1100_0^11 + 12503821867732351076940862876512/16067513\ 110616907418781706949*c_1100_0^10 + 16363522394840560659159172575630/16067513110616907418781706949*c_11\ 00_0^9 + 15339842941815150780097453356741/1606751311061690741878170\ 6949*c_1100_0^8 + 12382375048397897585356381697906/1606751311061690\ 7418781706949*c_1100_0^7 + 8129246804621601218650442870604/16067513\ 110616907418781706949*c_1100_0^6 + 4239156367856092001440223803064/16067513110616907418781706949*c_110\ 0_0^5 + 1678662499240758152832985506373/160675131106169074187817069\ 49*c_1100_0^4 + 513765485856279745939020365224/16067513110616907418\ 781706949*c_1100_0^3 + 113307321633978216275825198841/1606751311061\ 6907418781706949*c_1100_0^2 - 43084408984490451472671616416/1606751\ 3110616907418781706949*c_1100_0 - 20373914407611350736852359652/160\ 67513110616907418781706949, c_0011_11 - 160948890028616403910060506501/1606751311061690741878170694\ 9*c_1100_0^17 + 93997520154362691361385199324/160675131106169074187\ 81706949*c_1100_0^16 - 2299574370262072715770193810376/160675131106\ 16907418781706949*c_1100_0^15 - 682813761542027851367278358717/1606\ 7513110616907418781706949*c_1100_0^14 - 4546272921199813226974139370216/16067513110616907418781706949*c_110\ 0_0^13 + 2250919290748026277507535169154/16067513110616907418781706\ 949*c_1100_0^12 + 633209974983536012552962715214/160675131106169074\ 18781706949*c_1100_0^11 + 13124236063395325051727163820795/16067513\ 110616907418781706949*c_1100_0^10 + 16439355430350767999557163682615/16067513110616907418781706949*c_11\ 00_0^9 + 15354750433149264145417595608424/1606751311061690741878170\ 6949*c_1100_0^8 + 12392883831529448120373171932515/1606751311061690\ 7418781706949*c_1100_0^7 + 8476003402296653023238918051804/16067513\ 110616907418781706949*c_1100_0^6 + 4216218652730486530117368026774/16067513110616907418781706949*c_110\ 0_0^5 + 1754578532294992024914866432562/160675131106169074187817069\ 49*c_1100_0^4 + 497043806105677139622815572899/16067513110616907418\ 781706949*c_1100_0^3 + 122330335617270134375271415129/1606751311061\ 6907418781706949*c_1100_0^2 - 72496804819917559690521757106/1606751\ 3110616907418781706949*c_1100_0 - 14103542486498293023806407640/160\ 67513110616907418781706949, c_0011_12 - 36463769145975324928295295252/16067513110616907418781706949\ *c_1100_0^17 + 12433035646928110446802611387/1606751311061690741878\ 1706949*c_1100_0^16 - 519595516083493125954543149277/16067513110616\ 907418781706949*c_1100_0^15 - 270951444523725166366519011125/160675\ 13110616907418781706949*c_1100_0^14 - 1126366701344969710446709195229/16067513110616907418781706949*c_110\ 0_0^13 + 358859095165163895115232624922/160675131106169074187817069\ 49*c_1100_0^12 + 197094071482683989171485764333/1606751311061690741\ 8781706949*c_1100_0^11 + 3276324656314213832766710342430/1606751311\ 0616907418781706949*c_1100_0^10 + 4340919398855582836403747327686/1\ 6067513110616907418781706949*c_1100_0^9 + 4617209166108251674871972292369/16067513110616907418781706949*c_110\ 0_0^8 + 3381236639739361963433121203084/160675131106169074187817069\ 49*c_1100_0^7 + 2119074467364454478033427954886/1606751311061690741\ 8781706949*c_1100_0^6 + 1035564031803805705890456452110/16067513110\ 616907418781706949*c_1100_0^5 + 338424458722939160095549075098/1606\ 7513110616907418781706949*c_1100_0^4 + 62566342345811400492669207105/16067513110616907418781706949*c_1100_\ 0^3 + 40936977759341947208294237824/16067513110616907418781706949*c\ _1100_0^2 - 14753298464383162997594635762/1606751311061690741878170\ 6949*c_1100_0 + 13037374854611500697527500671/160675131106169074187\ 81706949, c_0011_3 + 106717703775203285716544473905/16067513110616907418781706949\ *c_1100_0^17 - 49937697230795195049395801334/1606751311061690741878\ 1706949*c_1100_0^16 + 1510129371692107254552388857576/1606751311061\ 6907418781706949*c_1100_0^15 + 631020175532092373224226625588/16067\ 513110616907418781706949*c_1100_0^14 + 2962425264285626977166507939112/16067513110616907418781706949*c_110\ 0_0^13 - 1214316478707429803704844666145/16067513110616907418781706\ 949*c_1100_0^12 - 828571700364883439245028342407/160675131106169074\ 18781706949*c_1100_0^11 - 8705715682430415321755354643250/160675131\ 10616907418781706949*c_1100_0^10 - 11855183622532516928279153978402/16067513110616907418781706949*c_11\ 00_0^9 - 10752223752894517053718405312883/1606751311061690741878170\ 6949*c_1100_0^8 - 8433013769478554139528315547007/16067513110616907\ 418781706949*c_1100_0^7 - 5483807367084148285730208247059/160675131\ 10616907418781706949*c_1100_0^6 - 2706808892678582791426062149402/1\ 6067513110616907418781706949*c_1100_0^5 - 990812447646495956683830198886/16067513110616907418781706949*c_1100\ _0^4 - 290147994786283570103270040469/16067513110616907418781706949\ *c_1100_0^3 - 60163500900585295636952367188/16067513110616907418781\ 706949*c_1100_0^2 + 26391841351631140209530942893/16067513110616907\ 418781706949*c_1100_0 + 11903756872372549264808970341/1606751311061\ 6907418781706949, c_0101_0 + 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