Magma V2.19-8 Tue Aug 20 2013 23:46:53 on localhost [Seed = 2681861555] Type ? for help. Type -D to quit. Loading file "K14n419__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n419 geometric_solution 10.90185322 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 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 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.027871876648 1.154210235311 0 3 5 4 0132 2103 0132 3201 0 0 0 0 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 -2 0 2 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 0.224465214876 0.384343582932 5 0 6 6 2103 0132 0213 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 1 0 -1 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 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.504480126342 1.103153789870 7 1 8 0 0132 2103 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 -2 2 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.339994546236 0.579483032184 9 1 0 7 0132 2310 0132 3012 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 -1 -1 2 0 0 0 0 0 0 0 0 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.202409620501 2.161368224223 10 8 2 1 0132 0132 2103 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.328058723217 1.512533992630 9 2 2 10 1302 0213 0132 0321 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 1 0 -1 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 0.338819734568 0.754299260516 3 8 4 11 0132 1230 1230 0132 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 -1 0 1 0 0 0 0 -1 0 0 1 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.448516900168 0.519596649013 9 5 7 3 2103 0132 3012 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 -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 0.231797916830 0.411369585729 4 6 8 11 0132 2031 2103 3120 0 0 0 0 0 1 -1 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 1 0 0 0 1 -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 0.258093121396 0.531137817315 5 6 11 11 0132 0321 0132 0321 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 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 0.177910109578 0.708067974542 9 10 7 10 3120 0321 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 -1 1 1 0 0 -1 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.666217605660 1.328427172909 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_8'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : negation(d['c_0011_0']), 'c_1001_4' : d['c_1001_0'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : d['c_1001_0'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_0011_3'], 'c_1010_11' : d['c_1001_10'], 'c_1010_10' : d['c_1001_10'], 's_0_10' : d['1'], 's_3_10' : 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_1'], 's_2_0' : negation(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_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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0101_11']), 'c_1100_8' : negation(d['c_1001_7']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_1001_7']), 'c_1100_7' : d['c_0101_8'], 'c_1100_6' : d['c_1001_10'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_1001_7']), 'c_1100_3' : negation(d['c_1001_7']), 'c_1100_2' : d['c_1001_10'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_8'], 'c_1100_10' : d['c_0101_8'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_8'], 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : d['c_1001_0'], 'c_1010_9' : negation(d['c_0011_11']), 'c_1010_8' : negation(d['c_0011_0']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(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' : negation(d['c_0011_4']), 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0110_6' : negation(d['c_0011_10']), '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_1'], 'c_0110_10' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : negation(d['c_0011_11']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : negation(d['c_0011_11']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0101_11'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_11, c_0101_8, c_1001_0, c_1001_10, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 751149343390077545755500717/1995068349343910555119964*c_1001_7^12 + 458918335827438968378472299/18054917188632674706968*c_1001_7^11 - 175496989693611972297529714787/997534174671955277559982*c_1001_7^10 + 2193497104199644923699371610751/3990136698687821110239928*c_1001_\ 7^9 - 3988807665857532700461216401213/3990136698687821110239928*c_1\ 001_7^8 + 326032577535893215745663198345/306933592206755470018456*c\ _1001_7^7 - 1312887813396314842467478753573/19950683493439105551199\ 64*c_1001_7^6 + 882472561876496021386402872973/19950683493439105551\ 19964*c_1001_7^5 - 2028417290387366587465622946477/3990136698687821\ 110239928*c_1001_7^4 + 360361147127968718634398933861/9975341746719\ 55277559982*c_1001_7^3 - 457979999606688804465697314127/39901366986\ 87821110239928*c_1001_7^2 + 66201296673492884619277639153/399013669\ 8687821110239928*c_1001_7 - 3666646593518574200891685611/3990136698\ 687821110239928, c_0011_0 - 1, c_0011_10 - 390890880094316063/739410155976438476*c_1001_7^12 - 6654413546746654901/184852538994109619*c_1001_7^11 + 167123021506734519815/739410155976438476*c_1001_7^10 - 471525703280225705225/739410155976438476*c_1001_7^9 + 753032565490524731255/739410155976438476*c_1001_7^8 - 159892432623530188959/184852538994109619*c_1001_7^7 + 70285187658205948584/184852538994109619*c_1001_7^6 - 289164292098180216415/739410155976438476*c_1001_7^5 + 94728051324922563920/184852538994109619*c_1001_7^4 - 157527810698841027187/739410155976438476*c_1001_7^3 + 15077759093025119613/739410155976438476*c_1001_7^2 - 15096745295781080529/739410155976438476*c_1001_7 + 1626793405836089653/369705077988219238, c_0011_11 - 348300658180583161/739410155976438476*c_1001_7^12 - 23699552061461797029/739410155976438476*c_1001_7^11 + 150152922303152759159/739410155976438476*c_1001_7^10 - 106637916015389351507/184852538994109619*c_1001_7^9 + 171464494706070044583/184852538994109619*c_1001_7^8 - 587222063554995992755/739410155976438476*c_1001_7^7 + 127615380913847952689/369705077988219238*c_1001_7^6 - 252527989788783112761/739410155976438476*c_1001_7^5 + 342182460796060612015/739410155976438476*c_1001_7^4 - 146703840805237730487/739410155976438476*c_1001_7^3 + 2887712844698080058/184852538994109619*c_1001_7^2 - 6002932442225872213/369705077988219238*c_1001_7 + 2400748017402992423/739410155976438476, c_0011_3 - 78987856805740913/369705077988219238*c_1001_7^12 - 2691324505354817338/184852538994109619*c_1001_7^11 + 33502389394473934869/369705077988219238*c_1001_7^10 - 93382012072739172019/369705077988219238*c_1001_7^9 + 146397090289982933377/369705077988219238*c_1001_7^8 - 59702930200139785077/184852538994109619*c_1001_7^7 + 23838659396448657101/184852538994109619*c_1001_7^6 - 54363090504392225095/369705077988219238*c_1001_7^5 + 36568696255916002149/184852538994109619*c_1001_7^4 - 26648626774672093103/369705077988219238*c_1001_7^3 + 1345298477708307627/369705077988219238*c_1001_7^2 - 2781234099942988541/369705077988219238*c_1001_7 + 129552843314843615/184852538994109619, c_0011_4 + 152209573847139605/739410155976438476*c_1001_7^12 + 5184621842819574817/369705077988219238*c_1001_7^11 - 64772718331607715871/739410155976438476*c_1001_7^10 + 181197642239075414685/739410155976438476*c_1001_7^9 - 285319197489763988319/739410155976438476*c_1001_7^8 + 58587780065764378433/184852538994109619*c_1001_7^7 - 23526469678574369434/184852538994109619*c_1001_7^6 + 104307545046184802233/739410155976438476*c_1001_7^5 - 70999929133936540075/369705077988219238*c_1001_7^4 + 52507017306210505819/739410155976438476*c_1001_7^3 - 871032113725949989/739410155976438476*c_1001_7^2 + 6284215106079189121/739410155976438476*c_1001_7 - 316374200325836901/369705077988219238, c_0101_0 + 55847576003111207/369705077988219238*c_1001_7^12 + 3810927786110048251/369705077988219238*c_1001_7^11 - 23335672381681551621/369705077988219238*c_1001_7^10 + 31875325243470157803/184852538994109619*c_1001_7^9 - 48536465950943931886/184852538994109619*c_1001_7^8 + 74304080827862066419/369705077988219238*c_1001_7^7 - 12831628389434056227/184852538994109619*c_1001_7^6 + 35872555975145987233/369705077988219238*c_1001_7^5 - 48443451642219518543/369705077988219238*c_1001_7^4 + 13457162178613600661/369705077988219238*c_1001_7^3 + 247929532999526802/184852538994109619*c_1001_7^2 + 1291114044623933894/184852538994109619*c_1001_7 - 142427084639294589/369705077988219238, c_0101_1 - 28650301552282787/184852538994109619*c_1001_7^12 - 7833185225364867225/739410155976438476*c_1001_7^11 + 11743940942356969563/184852538994109619*c_1001_7^10 - 126828298459519647447/739410155976438476*c_1001_7^9 + 191615804717915061911/739410155976438476*c_1001_7^8 - 146332770601029320615/739410155976438476*c_1001_7^7 + 27370710900257830101/369705077988219238*c_1001_7^6 - 18695085704539394838/184852538994109619*c_1001_7^5 + 91335638662330660579/739410155976438476*c_1001_7^4 - 6696284745478730435/184852538994109619*c_1001_7^3 + 973088078460430055/739410155976438476*c_1001_7^2 - 3408150854468480631/739410155976438476*c_1001_7 + 95106704147619353/739410155976438476, c_0101_11 - 254242468589180635/739410155976438476*c_1001_7^12 - 4338704083734211195/184852538994109619*c_1001_7^11 + 105823735332788583069/739410155976438476*c_1001_7^10 - 288737295608553821879/739410155976438476*c_1001_7^9 + 439793725880187711225/739410155976438476*c_1001_7^8 - 168811793788561518969/369705077988219238*c_1001_7^7 + 29782479058651925043/184852538994109619*c_1001_7^6 - 163158087194362229219/739410155976438476*c_1001_7^5 + 54616601052924945904/184852538994109619*c_1001_7^4 - 65636867810004496761/739410155976438476*c_1001_7^3 - 3372295714916548297/739410155976438476*c_1001_7^2 - 9582081773297596763/739410155976438476*c_1001_7 + 285532084741054330/184852538994109619, c_0101_8 + 48879630776791143/184852538994109619*c_1001_7^12 + 13332579342423994561/739410155976438476*c_1001_7^11 - 41154307157613222975/369705077988219238*c_1001_7^10 + 228208564780690357517/739410155976438476*c_1001_7^9 - 356236715636907859651/739410155976438476*c_1001_7^8 + 289446623742368509943/739410155976438476*c_1001_7^7 - 58993825519153054507/369705077988219238*c_1001_7^6 + 34160756071465365186/184852538994109619*c_1001_7^5 - 177605821536866164535/739410155976438476*c_1001_7^4 + 32498336493735394835/369705077988219238*c_1001_7^3 - 3783269138414310109/739410155976438476*c_1001_7^2 + 7505199515395893487/739410155976438476*c_1001_7 - 1165290719260906365/739410155976438476, c_1001_0 - 24811710888702511/739410155976438476*c_1001_7^12 - 819382742673979219/369705077988219238*c_1001_7^11 + 14108620767123724563/739410155976438476*c_1001_7^10 - 48720196124225098139/739410155976438476*c_1001_7^9 + 93413623260706363603/739410155976438476*c_1001_7^8 - 25178897337807573708/184852538994109619*c_1001_7^7 + 12965081184686760773/184852538994109619*c_1001_7^6 - 28328159533994285675/739410155976438476*c_1001_7^5 + 27345325188366502675/369705077988219238*c_1001_7^4 - 33583562646447182583/739410155976438476*c_1001_7^3 + 1908493675397666063/739410155976438476*c_1001_7^2 - 2850128653172562077/739410155976438476*c_1001_7 + 438102702126888711/369705077988219238, c_1001_10 + 96515689007498899/369705077988219238*c_1001_7^12 + 13123031992126264235/739410155976438476*c_1001_7^11 - 42005425170667797569/369705077988219238*c_1001_7^10 + 240379260869748067885/739410155976438476*c_1001_7^9 - 389110751767388825575/739410155976438476*c_1001_7^8 + 335975965212748476855/739410155976438476*c_1001_7^7 - 72652754087127029459/369705077988219238*c_1001_7^6 + 70089301169643082161/369705077988219238*c_1001_7^5 - 195794705003691684317/739410155976438476*c_1001_7^4 + 42430590176872272415/369705077988219238*c_1001_7^3 - 5356371693914320241/739410155976438476*c_1001_7^2 + 6908990550505819003/739410155976438476*c_1001_7 - 1496585114195373377/739410155976438476, c_1001_7^13 + 68*c_1001_7^12 - 434*c_1001_7^11 + 1247*c_1001_7^10 - 2042*c_1001_7^9 + 1821*c_1001_7^8 - 875*c_1001_7^7 + 803*c_1001_7^6 - 1032*c_1001_7^5 + 496*c_1001_7^4 - 79*c_1001_7^3 + 40*c_1001_7^2 - 11*c_1001_7 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 4.270 Total time: 4.480 seconds, Total memory usage: 64.12MB