Magma V2.19-8 Wed Aug 21 2013 01:05:35 on localhost [Seed = 2117625599] Type ? for help. Type -D to quit. Loading file "L14n26393__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n26393 geometric_solution 12.30485042 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 0 0 0 0 0 -1 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 1 0 -1 2 0 -2 0 1 -3 0 2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.309098266327 1.673363451738 0 5 4 6 0132 0132 1230 0132 1 1 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 0 0 0 0 0 0 0 0 0 0 0 -2 0 2 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 0.419466573472 0.404576761060 3 0 8 7 1023 0132 0132 0132 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 -1 3 -2 0 0 0 0 0 -1 0 1 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.313408763582 0.762102455577 6 2 5 0 0132 1023 2031 0132 1 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 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 0 0 0 0 0 0 0.256231021335 0.625743060085 9 10 0 1 0132 0132 0132 3012 1 1 1 1 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 1 -1 0 0 0 0 0 2 0 -2 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.025358365907 0.762217695235 6 1 11 3 1023 0132 0132 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 -2 2 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 0.163709797950 1.034504215001 3 5 1 12 0132 1023 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0.931636204226 1.023390200402 11 11 2 10 1302 3012 0132 3120 1 1 1 0 0 0 -1 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 0 2 -2 0 0 0 0 2 0 0 -2 -2 3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.701867744226 0.904449018966 12 10 10 2 1302 0321 1023 0132 1 1 1 1 0 0 -1 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 0 3 -3 0 0 0 0 -3 0 0 3 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.685187089158 0.949209579327 4 11 12 12 0132 0213 0132 1230 1 1 1 1 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 0 3 -3 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.381358877806 0.865010930033 7 4 8 8 3120 0132 1023 0321 1 1 1 1 0 0 0 0 0 0 1 -1 -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 -3 3 2 -2 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.586986126951 1.112574634273 7 7 9 5 1230 2031 0213 0132 1 1 0 1 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 -2 0 2 0 0 0 0 -3 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.701867744226 0.904449018966 9 8 6 9 3012 2031 0132 0132 1 1 1 1 0 -1 0 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 0 0 0 0 3 0 -3 3 0 0 -3 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.942531442391 0.857797616126 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_8'], 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_12' : negation(d['c_0101_2']), 'c_1001_5' : d['c_0011_7'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : d['c_0011_7'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_11']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_8'], 'c_1001_8' : d['c_0101_10'], 'c_1010_12' : d['c_0011_8'], 'c_1010_11' : d['c_0011_7'], 'c_1010_10' : d['c_1001_2'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : negation(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_10'], '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' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : negation(d['1']), 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(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' : negation(d['c_0101_10']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_12'], 'c_1100_4' : negation(d['c_1001_1']), 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : d['c_0101_9'], 'c_1100_1' : d['c_0101_9'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : negation(d['c_0101_10']), 's_0_10' : d['1'], 'c_1100_9' : d['c_0101_9'], 'c_1100_11' : d['c_0101_12'], 'c_1100_10' : d['c_0101_10'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_12']), 'c_1010_3' : negation(d['c_0011_11']), 'c_1010_2' : negation(d['c_0011_11']), 'c_1010_1' : d['c_0011_7'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_12'], 'c_1010_8' : d['c_1001_2'], 's_3_1' : negation(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' : d['1'], 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : 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' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_7'], 'c_0110_10' : negation(d['c_0011_8']), 'c_0110_12' : d['c_0101_9'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : negation(d['c_0011_11']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_7'], 'c_0101_4' : d['c_0011_12'], 'c_0101_3' : d['c_0101_12'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_12'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_12']), '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_0011_12'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_12'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_11']), 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : negation(d['c_0011_8']), 'c_0110_6' : d['c_0101_12']})} 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_7, c_0011_8, c_0101_0, c_0101_10, c_0101_12, c_0101_2, c_0101_9, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 967435445522502422871414927887412/359530175863811951292843413774533\ *c_1001_2^13 + 7595054488439425749204710579018028/35953017586381195\ 1292843413774533*c_1001_2^12 - 26241884968888238037785717504762804/\ 359530175863811951292843413774533*c_1001_2^11 + 60144363321547422024735644920356728/3595301758638119512928434137745\ 33*c_1001_2^10 - 113553922373930357537748352038734577/3595301758638\ 11951292843413774533*c_1001_2^9 + 187481631171819071526852709244462\ 793/359530175863811951292843413774533*c_1001_2^8 - 21952407568140801220850687833916133/2765616737413938086868026259804\ 1*c_1001_2^7 + 408303011432096153477699952433079755/359530175863811\ 951292843413774533*c_1001_2^6 - 39795659735667504096591084743243942\ /27656167374139380868680262598041*c_1001_2^5 + 41988111369225725427560139029036788/2765616737413938086868026259804\ 1*c_1001_2^4 - 458940393829561652126203372527598054/359530175863811\ 951292843413774533*c_1001_2^3 + 27936540112671664774911002579174099\ 2/359530175863811951292843413774533*c_1001_2^2 - 7946862629452461617064838971654067/27656167374139380868680262598041\ *c_1001_2 + 6836716842890416919258019787950693/35953017586381195129\ 2843413774533, c_0011_0 - 1, c_0011_10 - 317868052707655309002168/12045007085649159876589189*c_1001_\ 2^13 + 3006142543483376337885174/12045007085649159876589189*c_1001_\ 2^12 - 12013430587199825093831312/12045007085649159876589189*c_1001\ _2^11 + 28632750934252983957344537/12045007085649159876589189*c_100\ 1_2^10 - 52323326987519313958746581/12045007085649159876589189*c_10\ 01_2^9 + 86007537697209461718070166/12045007085649159876589189*c_10\ 01_2^8 - 129141726327988091731657014/12045007085649159876589189*c_1\ 001_2^7 + 184515622826421980747014719/12045007085649159876589189*c_\ 1001_2^6 - 240101984242925269049006389/12045007085649159876589189*c\ _1001_2^5 + 242698679805759548935011287/12045007085649159876589189*\ c_1001_2^4 - 188889311056295479605923418/12045007085649159876589189\ *c_1001_2^3 + 99616667110477770090971513/12045007085649159876589189\ *c_1001_2^2 - 16558445805398885930395173/12045007085649159876589189\ *c_1001_2 - 9190433483739642057125166/12045007085649159876589189, c_0011_11 - 1688213786974307318269908/60225035428245799382945945*c_1001\ _2^13 + 13419068665208261760867304/60225035428245799382945945*c_100\ 1_2^12 - 45151064036568777423736336/60225035428245799382945945*c_10\ 01_2^11 + 94401277382455576709284194/60225035428245799382945945*c_1\ 001_2^10 - 160350166598701347677005483/60225035428245799382945945*c\ _1001_2^9 + 251446306732240694597734851/60225035428245799382945945*\ c_1001_2^8 - 369777978933001669052028574/60225035428245799382945945\ *c_1001_2^7 + 510280572753369189965596094/6022503542824579938294594\ 5*c_1001_2^6 - 610327118981754015516351483/602250354282457993829459\ 45*c_1001_2^5 + 107756603301953221752182165/12045007085649159876589\ 189*c_1001_2^4 - 328201825753364567567571707/6022503542824579938294\ 5945*c_1001_2^3 + 87621419257096101907075654/6022503542824579938294\ 5945*c_1001_2^2 + 35814171526026893017863121/6022503542824579938294\ 5945*c_1001_2 - 24486419332212978563706121/602250354282457993829459\ 45, c_0011_12 - 1, c_0011_7 - 905956974835260070832388/60225035428245799382945945*c_1001_2\ ^13 + 7643511050275054910154694/60225035428245799382945945*c_1001_2\ ^12 - 27136925127829517820940356/60225035428245799382945945*c_1001_\ 2^11 + 59327538745657947119991179/60225035428245799382945945*c_1001\ _2^10 - 101191097613855213378681748/60225035428245799382945945*c_10\ 01_2^9 + 147129826200091472562404571/60225035428245799382945945*c_1\ 001_2^8 - 205821309771446689096616104/60225035428245799382945945*c_\ 1001_2^7 + 293139088863048141083790564/60225035428245799382945945*c\ _1001_2^6 - 327098740683209032105547453/60225035428245799382945945*\ c_1001_2^5 + 50846940134001941071955611/12045007085649159876589189*\ c_1001_2^4 - 84506339186950176487791442/60225035428245799382945945*\ c_1001_2^3 - 128505251093906084930417736/60225035428245799382945945\ *c_1001_2^2 + 158179235740106188527428141/6022503542824579938294594\ 5*c_1001_2 - 55889007575230267364431871/60225035428245799382945945, c_0011_8 + 109461568039669703040408/12045007085649159876589189*c_1001_2\ ^13 - 652491749868993109128726/12045007085649159876589189*c_1001_2^\ 12 + 1839577424211903517886036/12045007085649159876589189*c_1001_2^\ 11 - 3936232053211672916145477/12045007085649159876589189*c_1001_2^\ 10 + 5509649929631383035039705/12045007085649159876589189*c_1001_2^\ 9 - 5681803047471496389520906/12045007085649159876589189*c_1001_2^8 + 10800922419350549742109841/12045007085649159876589189*c_1001_2^7 - 13112419417934141375650910/12045007085649159876589189*c_1001_2^6 + 7316025303097814649149749/12045007085649159876589189*c_1001_2^5 - 3058754980752546812081403/12045007085649159876589189*c_1001_2^4 - 12271692419523992895835457/12045007085649159876589189*c_1001_2^3 + 19852551800343871746635439/12045007085649159876589189*c_1001_2^2 - 5963201391214872116791016/12045007085649159876589189*c_1001_2 - 3628210080985921210287546/12045007085649159876589189, c_0101_0 - 4547776543784602459511634/60225035428245799382945945*c_1001_\ 2^13 + 35239865582187653779139622/60225035428245799382945945*c_1001\ _2^12 - 120728238969447838381688243/60225035428245799382945945*c_10\ 01_2^11 + 275173461981981694288926482/60225035428245799382945945*c_\ 1001_2^10 - 513490094441592520129660639/60225035428245799382945945*\ c_1001_2^9 + 841378209698002790249641358/60225035428245799382945945\ *c_1001_2^8 - 1290422342795686608075811322/602250354282457993829459\ 45*c_1001_2^7 + 1849346419024733952183441217/6022503542824579938294\ 5945*c_1001_2^6 - 2329772401488182712990675774/60225035428245799382\ 945945*c_1001_2^5 + 487065077814837438467731636/1204500708564915987\ 6589189*c_1001_2^4 - 2050376929258413056456100996/60225035428245799\ 382945945*c_1001_2^3 + 1271281098872945519249397582/602250354282457\ 99382945945*c_1001_2^2 - 519299084904911478591606742/60225035428245\ 799382945945*c_1001_2 + 94298704045006988503587047/6022503542824579\ 9382945945, c_0101_10 + 566550645615298415390760/12045007085649159876589189*c_1001_\ 2^13 - 4224597675736594692028236/12045007085649159876589189*c_1001_\ 2^12 + 13136806953710495142411720/12045007085649159876589189*c_1001\ _2^11 - 25865671502951579087201652/12045007085649159876589189*c_100\ 1_2^10 + 43656716877807529166051524/12045007085649159876589189*c_10\ 01_2^9 - 69238191207375371938908393/12045007085649159876589189*c_10\ 01_2^8 + 103129489971180096484005757/12045007085649159876589189*c_1\ 001_2^7 - 140908474439999693520392371/12045007085649159876589189*c_\ 1001_2^6 + 162558010982030422346477201/12045007085649159876589189*c\ _1001_2^5 - 145239320864482774744844740/12045007085649159876589189*\ c_1001_2^4 + 89130932603039009040898676/12045007085649159876589189*\ c_1001_2^3 - 38141368339575232786874339/12045007085649159876589189*\ c_1001_2^2 + 9865557850481932616858187/12045007085649159876589189*c\ _1001_2 + 2599627957669985873895480/12045007085649159876589189, c_0101_12 - 161416690279845859514664/12045007085649159876589189*c_1001_\ 2^13 + 1851031020496734967742652/12045007085649159876589189*c_1001_\ 2^12 - 8410602805451973173272116/12045007085649159876589189*c_1001_\ 2^11 + 21618003206893458039485934/12045007085649159876589189*c_1001\ _2^10 - 40491513190550087099081834/12045007085649159876589189*c_100\ 1_2^9 + 65144241590779617311004110/12045007085649159876589189*c_100\ 1_2^8 - 96350392495677095740574520/12045007085649159876589189*c_100\ 1_2^7 + 141087326048357770970653613/12045007085649159876589189*c_10\ 01_2^6 - 183456308583216272366845583/12045007085649159876589189*c_1\ 001_2^5 + 185789016637808268254784733/12045007085649159876589189*c_\ 1001_2^4 - 140150213743012601389967365/12045007085649159876589189*c\ _1001_2^3 + 56391333040277332723472835/12045007085649159876589189*c\ _1001_2^2 + 7914567037416973171517831/12045007085649159876589189*c_\ 1001_2 - 15470951132343099817270316/12045007085649159876589189, c_0101_2 - 716030008616321419711788/12045007085649159876589189*c_1001_2\ ^13 + 4795801306891119057065882/12045007085649159876589189*c_1001_2\ ^12 - 13914393961146382655531276/12045007085649159876589189*c_1001_\ 2^11 + 29303237262143602427360183/12045007085649159876589189*c_1001\ _2^10 - 55514158655868473655320618/12045007085649159876589189*c_100\ 1_2^9 + 89286360527875860523714028/12045007085649159876589189*c_100\ 1_2^8 - 133852528380664967497175148/12045007085649159876589189*c_10\ 01_2^7 + 189076662482068224680644667/12045007085649159876589189*c_1\ 001_2^6 - 229814743395682136299683271/12045007085649159876589189*c_\ 1001_2^5 + 231403214351477204770863761/12045007085649159876589189*c\ _1001_2^4 - 192929801177807983776946334/12045007085649159876589189*\ c_1001_2^3 + 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