Magma V2.19-8 Wed Aug 21 2013 01:03:28 on localhost [Seed = 1595492200] Type ? for help. Type -D to quit. Loading file "L14n20221__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n20221 geometric_solution 12.06074585 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 1 3 0132 0132 3120 0132 1 1 1 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 -1 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 0.642841776095 1.494898627797 0 4 0 2 0132 0132 3120 1023 0 1 0 1 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 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 0.642841776095 1.494898627797 5 0 4 1 0132 0132 2031 1023 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 -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 0.497456457740 0.290438431001 6 4 0 7 0132 2031 0132 0132 1 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 0 0 0 0 0 1 -1 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 0.372957840829 0.494307909244 3 1 8 2 1302 0132 0132 1302 0 1 1 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 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 0.388153323121 0.639914501894 2 7 8 9 0132 2103 3012 0132 1 0 1 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 -4 0 4 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.541750801514 0.637115465058 3 10 9 7 0132 0132 3201 2103 1 1 1 0 0 -1 1 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 4 -4 0 -1 0 1 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.466267599919 1.609060752877 11 5 3 6 0132 2103 0132 2103 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 0 0 0 0 0 0 0 0 0 0 0 0 4 1 -5 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 0.744021620668 1.034432100330 12 5 10 4 0132 1230 2031 0132 0 1 0 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 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.185714086129 0.559878409482 6 10 5 11 2310 0213 0132 0213 1 0 1 1 0 1 0 -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 -4 0 4 0 0 0 0 -1 1 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.393582887031 0.595438968677 12 6 9 8 2031 0132 0213 1302 1 1 0 1 0 1 -1 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 -4 4 0 0 0 -1 1 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.393582887031 0.595438968677 7 12 12 9 0132 0132 2031 0213 1 1 0 1 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 4 -4 0 0 0 0 -1 1 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.227443356101 1.168776251319 8 11 10 11 0132 0132 1302 1302 1 1 1 0 0 0 0 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 0 0 0 0 0 5 -5 -1 5 0 -4 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.227443356101 1.168776251319 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_8']), 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0110_10'], 'c_1001_5' : negation(d['c_0011_11']), 'c_1001_4' : d['c_0101_5'], 'c_1001_7' : d['c_0011_0'], 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : negation(d['c_0110_4']), 'c_1001_2' : negation(d['c_0110_4']), 'c_1001_9' : d['c_1001_10'], 'c_1001_8' : negation(d['c_0110_10']), 'c_1010_12' : negation(d['c_0101_8']), 'c_1010_11' : d['c_0110_10'], 'c_1010_10' : negation(d['c_0101_2']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_9'], 'c_0101_10' : d['c_0011_9'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0101_2'], 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : d['c_0110_10'], 'c_1100_4' : d['c_0101_2'], 'c_1100_7' : negation(d['c_0101_1']), 'c_1100_6' : negation(d['c_0011_9']), 'c_1100_1' : negation(d['c_0101_0']), 'c_1100_0' : negation(d['c_0101_1']), 'c_1100_3' : negation(d['c_0101_1']), 'c_1100_2' : d['c_0101_0'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_8'], 'c_1100_10' : d['c_0101_8'], 's_3_10' : negation(d['1']), 'c_1010_7' : negation(d['c_1001_10']), 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : d['c_1001_10'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_5'], 'c_1010_0' : negation(d['c_0110_4']), 'c_1010_9' : d['c_0101_8'], 'c_1010_8' : d['c_0101_5'], 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(d['1']), 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : d['c_0011_9'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(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' : d['c_0011_11'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_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_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_6'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0101_8'], 'c_0101_12' : negation(d['c_0011_10']), '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_0101_5'], 'c_0101_4' : negation(d['c_0011_10']), '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_2'], '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' : negation(d['1']), 'c_0110_9' : negation(d['c_0101_6']), 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0110_10'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0011_9'], 'c_0110_6' : d['c_0101_1']})} 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_9, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6, c_0101_8, c_0110_10, c_0110_4, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 298020209020503975094125331778301/260348363633071506403720265004646\ 40*c_1001_10^14 - 273540314677175441410288580608341/260348363633071\ 50640372026500464640*c_1001_10^13 - 2685388945967101380216493781049587/26034836363307150640372026500464\ 640*c_1001_10^12 + 148050721100466890855943199918113/16271772727066\ 96915023251656279040*c_1001_10^11 - 6853967633167674616201597918046633/26034836363307150640372026500464\ 640*c_1001_10^10 + 11689631179551396555816812989665601/130174181816\ 53575320186013250232320*c_1001_10^9 - 4633472381183793718321335395064621/65087090908267876600930066251161\ 60*c_1001_10^8 + 10906083932586274395620217171884583/65087090908267\ 87660093006625116160*c_1001_10^7 - 51366587486634872761208520630671793/2603483636330715064037202650046\ 4640*c_1001_10^6 + 33853733642632560400408905892035809/260348363633\ 07150640372026500464640*c_1001_10^5 + 170920981989791900074517895712921/162717727270669691502325165627904\ 0*c_1001_10^4 + 3337611569350623131368390257427739/6508709090826787\ 660093006625116160*c_1001_10^3 + 577782309206536652769350094066681/\ 226389881420062179481495882612736*c_1001_10^2 - 70893176963188065310310371521129179/1301741818165357532018601325023\ 2320*c_1001_10 + 1696826993518216817752129120149539/325435454541339\ 3830046503312558080, c_0011_0 - 1, c_0011_10 + 40449477196283230609706039/978247206080882620132293464*c_10\ 01_10^14 + 40841335204112603540927801/978247206080882620132293464*c\ _1001_10^13 + 268890851051465730850905263/9782472060808826201322934\ 64*c_1001_10^12 - 168694592943053714432373815/489123603040441310066\ 146732*c_1001_10^11 + 413617881720302135288227111/97824720608088262\ 0132293464*c_1001_10^10 - 455927964759391738250096629/2445618015202\ 20655033073366*c_1001_10^9 + 377040390787128975233257365/2445618015\ 20220655033073366*c_1001_10^8 - 412454216124766869487198003/2445618\ 01520220655033073366*c_1001_10^7 + 1584528969013927350527358171/978247206080882620132293464*c_1001_10^\ 6 - 2163124336305872401634622841/978247206080882620132293464*c_1001\ _10^5 - 2174263494682717948886548479/489123603040441310066146732*c_\ 1001_10^4 + 503137130166373039829627287/122280900760110327516536683\ *c_1001_10^3 - 1795479785824301489096750449/97824720608088262013229\ 3464*c_1001_10^2 + 660133253145078011647488755/24456180152022065503\ 3073366*c_1001_10 - 527142181411574744761051359/1222809007601103275\ 16536683, c_0011_11 + 17783815867698966947168671/489123603040441310066146732*c_10\ 01_10^14 + 9645114237917668296681363/489123603040441310066146732*c_\ 1001_10^13 + 113994910329934559506751813/48912360304044131006614673\ 2*c_1001_10^12 - 50749868938053349831964907/12228090076011032751653\ 6683*c_1001_10^11 + 281218065976761930800549075/4891236030404413100\ 66146732*c_1001_10^10 - 466945976686772355055249921/244561801520220\ 655033073366*c_1001_10^9 + 293029314770739007182206956/122280900760\ 110327516536683*c_1001_10^8 - 313519656997340984812247840/122280900\ 760110327516536683*c_1001_10^7 + 1496811956002519752842267679/48912\ 3603040441310066146732*c_1001_10^6 - 1878177169099229085651966419/489123603040441310066146732*c_1001_10^\ 5 - 235855165090417568430954469/122280900760110327516536683*c_1001_\ 10^4 + 374435227529782389671781716/122280900760110327516536683*c_10\ 01_10^3 - 1187658282716484633753319785/489123603040441310066146732*\ c_1001_10^2 + 722809946508083768444202405/2445618015202206550330733\ 66*c_1001_10 - 515762342134505548713329902/122280900760110327516536\ 683, c_0011_9 + 332859549174297885007828/122280900760110327516536683*c_1001_\ 10^14 + 378759609645415729262015/244561801520220655033073366*c_1001\ _10^13 + 4387549345274520587989259/244561801520220655033073366*c_10\ 01_10^12 - 9886508767776203230478393/244561801520220655033073366*c_\ 1001_10^11 + 4598587841637628298958035/122280900760110327516536683*\ c_1001_10^10 - 48509733333414080288356957/2445618015202206550330733\ 66*c_1001_10^9 + 34135288783660340286469233/12228090076011032751653\ 6683*c_1001_10^8 - 31753444425804866926159071/122280900760110327516\ 536683*c_1001_10^7 + 71626713401209761307314742/1222809007601103275\ 16536683*c_1001_10^6 - 101194195249806823275457559/2445618015202206\ 55033073366*c_1001_10^5 - 36685648920636701874527389/24456180152022\ 0655033073366*c_1001_10^4 + 47979598613622740725567205/122280900760\ 110327516536683*c_1001_10^3 - 61790835275057371932948803/1222809007\ 60110327516536683*c_1001_10^2 + 297484556793279712501853215/2445618\ 01520220655033073366*c_1001_10 - 122716477711254207304044162/122280\ 900760110327516536683, c_0101_0 + 5438773239970693932342831/489123603040441310066146732*c_1001\ _10^14 + 3233385361837702095787739/244561801520220655033073366*c_10\ 01_10^13 + 21107131781296561786281187/244561801520220655033073366*c\ _1001_10^12 - 30912874459877575185342061/48912360304044131006614673\ 2*c_1001_10^11 + 87024139441190415336339633/48912360304044131006614\ 6732*c_1001_10^10 - 251064638730146143860438975/4891236030404413100\ 66146732*c_1001_10^9 + 53432623678203825053220596/12228090076011032\ 7516536683*c_1001_10^8 - 93445720149828850857263572/122280900760110\ 327516536683*c_1001_10^7 + 241104209381716294836645551/489123603040\ 441310066146732*c_1001_10^6 - 112327933447451910661082611/122280900\ 760110327516536683*c_1001_10^5 - 641558831673038089517521325/489123\ 603040441310066146732*c_1001_10^4 + 158781310299103345130592745/244561801520220655033073366*c_1001_10^3 - 812863134649214492552385125/489123603040441310066146732*c_1001_10\ ^2 + 586852129507581620169884833/489123603040441310066146732*c_1001\ _10 - 163196198098775396802969098/122280900760110327516536683, c_0101_1 - 1, c_0101_2 + 29905663597421297715923915/978247206080882620132293464*c_100\ 1_10^14 + 28632517685229079711999873/978247206080882620132293464*c_\ 1001_10^13 + 192936933965006988869583311/97824720608088262013229346\ 4*c_1001_10^12 - 134025497139984863396618025/4891236030404413100661\ 46732*c_1001_10^11 + 295743920366721035118795291/978247206080882620\ 132293464*c_1001_10^10 - 168199083055849438448368530/12228090076011\ 0327516536683*c_1001_10^9 + 312116395955076283722105531/24456180152\ 0220655033073366*c_1001_10^8 - 289664865156217704538470259/24456180\ 1520220655033073366*c_1001_10^7 + 1449900347851177502583580463/9782\ 47206080882620132293464*c_1001_10^6 - 1966977868712020406810248393/978247206080882620132293464*c_1001_10^\ 5 - 1504899272328636595010057501/489123603040441310066146732*c_1001\ _10^4 + 335742435922194790250901653/122280900760110327516536683*c_1\ 001_10^3 - 1220552146797423387170819877/978247206080882620132293464\ *c_1001_10^2 + 270068367509517421338619278/122280900760110327516536\ 683*c_1001_10 - 432445191315543108472327000/12228090076011032751653\ 6683, c_0101_5 - 207429611471698594924156505/1956494412161765240264586928*c_1\ 001_10^14 - 206682612583790076650222055/195649441216176524026458692\ 8*c_1001_10^13 - 1440128640553627904699166721/195649441216176524026\ 4586928*c_1001_10^12 + 839886803831221091626433285/9782472060808826\ 20132293464*c_1001_10^11 - 2586212478783453849214340905/19564944121\ 61765240264586928*c_1001_10^10 + 2473467036953112714421290589/48912\ 3603040441310066146732*c_1001_10^9 - 2146510684971409965910194683/489123603040441310066146732*c_1001_10^\ 8 + 2906669785874390254931341785/489123603040441310066146732*c_1001\ _10^7 - 10799074218186379648156217269/1956494412161765240264586928*\ c_1001_10^6 + 15205584135334486806650400943/19564944121617652402645\ 86928*c_1001_10^5 + 9514210081008930803267723549/978247206080882620\ 132293464*c_1001_10^4 - 1826002524999219325191640599/24456180152022\ 0655033073366*c_1001_10^3 + 15197228525602079365091774303/195649441\ 2161765240264586928*c_1001_10^2 - 4049703830555338812590071637/4891\ 23603040441310066146732*c_1001_10 + 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