Magma V2.19-8 Tue Aug 20 2013 23:56:19 on localhost [Seed = 2446850439] Type ? for help. Type -D to quit. Loading file "L14n17435__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n17435 geometric_solution 10.75904664 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 2 0132 0132 0132 3120 1 1 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 3 -4 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 -0.073521197051 0.808727453391 0 2 5 4 0132 1230 0132 0132 1 1 1 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 3 -3 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.469403816136 1.745323872732 0 0 1 4 3120 0132 3012 1230 1 1 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 0 0 0 -3 0 3 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 0.185010624880 0.417647587606 6 7 5 0 0132 0132 2310 0132 1 1 1 1 0 -1 0 1 1 0 -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 -4 0 4 4 0 -4 0 0 1 0 -1 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.262009190859 0.980881912511 2 5 1 8 3012 3012 0132 0132 1 1 1 1 0 1 0 -1 -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 4 0 -4 -3 0 3 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.096657016862 0.799636969069 4 3 9 1 1230 3201 0132 0132 1 1 1 1 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 3 0 0 -3 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.886161480535 0.812808848884 3 10 7 11 0132 0132 1023 0132 0 1 1 1 0 -1 0 1 -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 -4 0 4 0 -3 4 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.078186740424 0.503139663733 11 3 6 8 1023 0132 1023 1230 1 0 1 1 0 1 -1 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 4 -4 0 0 0 0 0 0 3 0 -3 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.246903113982 1.020470888577 7 10 4 9 3012 3201 0132 0132 1 1 0 1 0 -1 1 0 0 0 0 0 0 2 0 -2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -4 4 0 0 0 0 0 0 1 0 -1 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.198921257396 0.415361157707 11 10 8 5 3120 2310 0132 0132 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 -1 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 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.189263008164 1.225918091611 11 6 8 9 0132 0132 2310 3201 0 1 1 1 0 1 -2 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 0 0 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.456388699880 1.231204380121 10 7 6 9 0132 1023 0132 3120 0 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 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 1.073888671634 0.903106513557 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_7'], 'c_1001_10' : d['c_0101_7'], 'c_1001_5' : negation(d['c_0101_11']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : d['c_0101_7'], 'c_1001_1' : negation(d['c_0101_8']), 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_0101_8'], 'c_1001_2' : d['c_0011_0'], 'c_1001_9' : negation(d['c_0101_7']), 'c_1001_8' : negation(d['c_0101_10']), 'c_1010_11' : d['c_0011_8'], 'c_1010_10' : d['c_0101_7'], '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_10'], '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_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_0011_11' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : d['c_0101_9'], 'c_1100_6' : negation(d['c_0101_9']), 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0101_8'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_9']), 'c_1100_10' : d['c_0011_8'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_8'], 'c_1010_6' : d['c_0101_7'], 'c_1010_5' : negation(d['c_0101_8']), 'c_1010_4' : negation(d['c_0101_10']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0011_5']), 'c_1010_0' : d['c_0011_0'], 'c_1010_9' : negation(d['c_0101_11']), 'c_1010_8' : negation(d['c_0101_7']), 'c_1100_8' : d['c_1100_1'], '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'], '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' : negation(d['c_0011_8']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), '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_10'], 'c_0110_10' : d['c_0101_11'], 'c_0110_0' : d['c_0011_4'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_10'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : negation(d['c_0011_5']), 'c_0101_1' : d['c_0011_4'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_9'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0011_8'], 'c_0110_6' : d['c_0101_11']})} 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_4, c_0011_5, c_0011_8, c_0101_0, c_0101_10, c_0101_11, c_0101_7, c_0101_8, c_0101_9, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 35491336680143419402436203538924305060/5161631399447237030629463440\ 5824478936813*c_1100_1^10 - 16891070051561365612526825615408555018/\ 5735145999385818922921626045091608770757*c_1100_1^9 - 5306052793337277543748044267463443348914/51616313994472370306294634\ 405824478936813*c_1100_1^8 - 48223255473902410022452001906530741385\ 623/51616313994472370306294634405824478936813*c_1100_1^7 - 151239909862114440597704988478613602862395/516163139944723703062946\ 34405824478936813*c_1100_1^6 - 409869921138601464030440457547084994\ 49089/17205437998157456768764878135274826312271*c_1100_1^5 + 16993538717669133652777977663164889036817/2457919714022493824109268\ 305039260901753*c_1100_1^4 - 51496653450719269517603249894312058762\ 9520/51616313994472370306294634405824478936813*c_1100_1^3 - 162035954543587450823756076821610096472/166504238691846355826756885\ 1800789643123*c_1100_1^2 - 74064311179015866608299238300855529869/7\ 9287732710403026584169945323847125863*c_1100_1 - 325703471822732443261159466619516730011451/516163139944723703062946\ 34405824478936813, c_0011_0 - 1, c_0011_10 + 33910675202107297126209364/884089366321982674811425898117*c\ _1100_1^10 + 178541956327982469134851492/88408936632198267481142589\ 8117*c_1100_1^9 + 5195638718999138099053736044/88408936632198267481\ 1425898117*c_1100_1^8 + 50968160121648475336128515836/8840893663219\ 82674811425898117*c_1100_1^7 + 187258795661733017044715246339/88408\ 9366321982674811425898117*c_1100_1^6 + 234791596513009858743316785148/884089366321982674811425898117*c_110\ 0_1^5 - 303831886347940740249251092099/8840893663219826748114258981\ 17*c_1100_1^4 + 112841799617713497772573260388/88408936632198267481\ 1425898117*c_1100_1^3 + 757079761123468783074703538974/884089366321\ 982674811425898117*c_1100_1^2 + 261156154338432516657465835932/8840\ 89366321982674811425898117*c_1100_1 - 500467530564479498224741441639/884089366321982674811425898117, c_0011_4 + 177372003200758790844849092/884089366321982674811425898117*c\ _1100_1^10 + 652719202120200324017915550/88408936632198267481142589\ 8117*c_1100_1^9 + 25977578506667299043828288050/8840893663219826748\ 11425898117*c_1100_1^8 + 224772288838793575612985353676/88408936632\ 1982674811425898117*c_1100_1^7 + 598829870309672664761256396470/884\ 089366321982674811425898117*c_1100_1^6 + 66004692399310167048236649064/884089366321982674811425898117*c_1100\ _1^5 - 2325292297275367395477499115744/8840893663219826748114258981\ 17*c_1100_1^4 + 4018768123578511103736863933888/8840893663219826748\ 11425898117*c_1100_1^3 + 251434011052777468609477272739/88408936632\ 1982674811425898117*c_1100_1^2 - 1561190617065301639070215261266/88\ 4089366321982674811425898117*c_1100_1 + 1556683973035599663962354481279/884089366321982674811425898117, c_0011_5 + 280136601978724455926663626/884089366321982674811425898117*c\ _1100_1^10 + 1240594380636835193171710814/8840893663219826748114258\ 98117*c_1100_1^9 + 41868877783476372744462085476/884089366321982674\ 811425898117*c_1100_1^8 + 385807591635438510426253324128/8840893663\ 21982674811425898117*c_1100_1^7 + 1220738805983930918290398597912/8\ 84089366321982674811425898117*c_1100_1^6 + 874795929388409769628927872504/884089366321982674811425898117*c_110\ 0_1^5 - 3607693136520166653106938862608/884089366321982674811425898\ 117*c_1100_1^4 + 2656458237484901028572536382741/884089366321982674\ 811425898117*c_1100_1^3 + 2514688656579649577338916274986/884089366\ 321982674811425898117*c_1100_1^2 - 869237738055555585983805388172/884089366321982674811425898117*c_110\ 0_1 + 664569701645003621693400790944/884089366321982674811425898117\ , c_0011_8 - 271988315703145078861780358/884089366321982674811425898117*c\ _1100_1^10 - 1343906276815000341101979978/8840893663219826748114258\ 98117*c_1100_1^9 - 41291104079038018201492744284/884089366321982674\ 811425898117*c_1100_1^8 - 395669932696338056815234056737/8840893663\ 21982674811425898117*c_1100_1^7 - 1381382017450237828789034460412/8\ 84089366321982674811425898117*c_1100_1^6 - 1510913533771231567650570117443/884089366321982674811425898117*c_11\ 00_1^5 + 2744818402235330681910575549746/88408936632198267481142589\ 8117*c_1100_1^4 - 1655905578702681532449843677160/88408936632198267\ 4811425898117*c_1100_1^3 - 4547601890025944237189868018590/88408936\ 6321982674811425898117*c_1100_1^2 + 122645483018291438673395506227/884089366321982674811425898117*c_110\ 0_1 - 1242706552799424519978682011965/88408936632198267481142589811\ 7, c_0101_0 + 118554642922039167257263360/884089366321982674811425898117*c\ _1100_1^10 + 529247589145778737517347876/88408936632198267481142589\ 8117*c_1100_1^9 + 17723314782512735647618918912/8840893663219826748\ 11425898117*c_1100_1^8 + 163860240948711690455273131464/88408936632\ 1982674811425898117*c_1100_1^7 + 520367838643968114506097477752/884\ 089366321982674811425898117*c_1100_1^6 + 371424381054627346124646526670/884089366321982674811425898117*c_110\ 0_1^5 - 1551403357683690298834982678344/884089366321982674811425898\ 117*c_1100_1^4 + 1108753558698535813072074851916/884089366321982674\ 811425898117*c_1100_1^3 + 1275694419869506611693116434320/884089366\ 321982674811425898117*c_1100_1^2 - 754660185494763141649433757569/884089366321982674811425898117*c_110\ 0_1 + 146644024189281204234457095808/884089366321982674811425898117\ , c_0101_10 - 33910675202107297126209364/884089366321982674811425898117*c\ _1100_1^10 - 178541956327982469134851492/88408936632198267481142589\ 8117*c_1100_1^9 - 5195638718999138099053736044/88408936632198267481\ 1425898117*c_1100_1^8 - 50968160121648475336128515836/8840893663219\ 82674811425898117*c_1100_1^7 - 187258795661733017044715246339/88408\ 9366321982674811425898117*c_1100_1^6 - 234791596513009858743316785148/884089366321982674811425898117*c_110\ 0_1^5 + 303831886347940740249251092099/8840893663219826748114258981\ 17*c_1100_1^4 - 112841799617713497772573260388/88408936632198267481\ 1425898117*c_1100_1^3 - 757079761123468783074703538974/884089366321\ 982674811425898117*c_1100_1^2 - 261156154338432516657465835932/8840\ 89366321982674811425898117*c_1100_1 - 1267711202079485851398110354595/884089366321982674811425898117, c_0101_11 + 83943768942738156920448404/884089366321982674811425898117*c\ _1100_1^10 + 425506384990272524182535748/88408936632198267481142589\ 8117*c_1100_1^9 + 12805566109781646427646210759/8840893663219826748\ 11425898117*c_1100_1^8 + 123783343356243860437226878412/88408936632\ 1982674811425898117*c_1100_1^7 + 443246569454727036453673140079/884\ 089366321982674811425898117*c_1100_1^6 + 532914955577610613546530886700/884089366321982674811425898117*c_110\ 0_1^5 - 754398528768170720532723379635/8840893663219826748114258981\ 17*c_1100_1^4 + 422460799795836830701006192244/88408936632198267481\ 1425898117*c_1100_1^3 + 1421051125527848980244603230078/88408936632\ 1982674811425898117*c_1100_1^2 + 412070229204623910029545445900/884\ 089366321982674811425898117*c_1100_1 - 261826257529251604886502631011/884089366321982674811425898117, c_0101_7 - 1, c_0101_8 + 117349561425233423971719856/884089366321982674811425898117*c\ _1100_1^10 + 434762342155035877722498386/88408936632198267481142589\ 8117*c_1100_1^9 + 17165176228796947106557676770/8840893663219826748\ 11425898117*c_1100_1^8 + 148998234305441764995116330092/88408936632\ 1982674811425898117*c_1100_1^7 + 394985721248873012456503988026/884\ 089366321982674811425898117*c_1100_1^6 + 9439151679930584662173916608/884089366321982674811425898117*c_1100_\ 1^5 - 1684630883904270937604101875929/88408936632198267481142589811\ 7*c_1100_1^4 + 2462367653584623781352516982468/88408936632198267481\ 1425898117*c_1100_1^3 + 614612420531237237494478970309/884089366321\ 982674811425898117*c_1100_1^2 - 1024522313123278546024157252670/884\ 089366321982674811425898117*c_1100_1 + 852630468561774419996091591693/884089366321982674811425898117, c_0101_9 + 83997868552629743757728312/884089366321982674811425898117*c_\ 1100_1^10 + 294811727075287938277590323/884089366321982674811425898\ 117*c_1100_1^9 + 12165949039445614943040495970/88408936632198267481\ 1425898117*c_1100_1^8 + 103944481843731316102286702858/884089366321\ 982674811425898117*c_1100_1^7 + 252771556614670140317773540490/8840\ 89366321982674811425898117*c_1100_1^6 - 138082887322248146341597054930/884089366321982674811425898117*c_110\ 0_1^5 - 1527649891669828889782590403658/884089366321982674811425898\ 117*c_1100_1^4 + 1577479446139568290958253078772/884089366321982674\ 811425898117*c_1100_1^3 + 342324606772979389754127391428/8840893663\ 21982674811425898117*c_1100_1^2 - 1508364602166732783353923699466/8\ 84089366321982674811425898117*c_1100_1 + 1204037738800235013338589544099/884089366321982674811425898117, c_1100_1^11 + 5*c_1100_1^10 + 152*c_1100_1^9 + 1463*c_1100_1^8 + 5148*c_1100_1^7 + 5678*c_1100_1^6 - 10548*c_1100_1^5 + 3979*c_1100_1^4 + 16743*c_1100_1^3 + 341*c_1100_1^2 + 1534*c_1100_1 + 4217 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.320 seconds, Total memory usage: 32.09MB