Magma V2.19-8 Tue Aug 20 2013 16:19:21 on localhost [Seed = 1444399952] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3459 geometric_solution 6.65430516 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 0 0 0 0 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 -1 0 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 0.611597206353 0.852683958564 0 3 5 4 0132 0132 0132 0132 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 -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 0.525083592331 0.816830548590 3 0 4 5 3201 0132 3201 2310 0 0 0 0 0 1 -1 0 -1 0 0 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 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 0.525083592331 0.816830548590 3 1 3 2 2031 0132 1302 2310 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 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 0.439434389823 0.968371759291 2 6 1 6 2310 0132 0132 2310 0 0 0 0 0 0 -1 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 -1 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 1.245571570379 1.050114116315 2 5 5 1 3201 3201 2310 0132 0 0 0 0 0 0 0 0 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 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 0.445030853910 0.771319083161 4 4 6 6 3201 0132 1230 3012 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 0 0 0 0 0.355243977250 0.357344814322 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['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_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_0_6' : 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_6' : d['c_0110_6'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_5']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : negation(d['c_0101_5']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 36 Groebner basis: [ t - 104926105158632198844177424214539/21147672656931859628961483162795*\ c_0110_6^34 + 1436267004384301529914968055643101/211476726569318596\ 28961483162795*c_0110_6^32 - 3455161305202182210958892445817661/422\ 9534531386371925792296632559*c_0110_6^30 + 166636067733500040403616548036824397/211476726569318596289614831627\ 95*c_0110_6^28 - 218879890154794495276817920402755659/4229534531386\ 371925792296632559*c_0110_6^26 + 1700294188746001860608840026910122\ 339/7049224218977286542987161054265*c_0110_6^24 - 3421670586980611430282680919949278623/42295345313863719257922966325\ 59*c_0110_6^22 + 40602873766227312610294919461662888827/21147672656\ 931859628961483162795*c_0110_6^20 - 67885013839141888879101136326958840549/2114767265693185962896148316\ 2795*c_0110_6^18 + 16144878757030836001770025435170019045/422953453\ 1386371925792296632559*c_0110_6^16 - 13767491526978829698612539136180851452/4229534531386371925792296632\ 559*c_0110_6^14 + 42004788701172756254405075784758576968/2114767265\ 6931859628961483162795*c_0110_6^12 - 1221585496084614735077967013363061269/14098448437954573085974322108\ 53*c_0110_6^10 + 5883178570194883333186683878381901866/211476726569\ 31859628961483162795*c_0110_6^8 - 478463967998647296593535104777522\ 361/7049224218977286542987161054265*c_0110_6^6 + 247056765316920558259066989304456321/211476726569318596289614831627\ 95*c_0110_6^4 - 28814238546992368482174952326531596/211476726569318\ 59628961483162795*c_0110_6^2 + 1401838636302388505024976501191558/2\ 1147672656931859628961483162795, c_0011_0 - 1, c_0011_4 + 911696511809360816350419883446/14098448437954573085974322108\ 53*c_0110_6^35 - 11183249043281649467087370883505/14098448437954573\ 08597432210853*c_0110_6^33 + 136492348188282470245543758473492/1409\ 844843795457308597432210853*c_0110_6^31 - 1278156609452028505118260530998340/1409844843795457308597432210853*\ c_0110_6^29 + 7994472741431070204341524928536626/140984484379545730\ 8597432210853*c_0110_6^27 - 35668061330254809610866648964496511/140\ 9844843795457308597432210853*c_0110_6^25 + 113579159666993211285249746762457664/140984484379545730859743221085\ 3*c_0110_6^23 - 255298546681046087000972824027049217/14098448437954\ 57308597432210853*c_0110_6^21 + 40730747092250461961322310468088889\ 7/1409844843795457308597432210853*c_0110_6^19 - 467096913636188205901155192466725704/140984484379545730859743221085\ 3*c_0110_6^17 + 387900150482904496619835783167317120/14098448437954\ 57308597432210853*c_0110_6^15 - 23288468665526023249063755398788652\ 2/1409844843795457308597432210853*c_0110_6^13 + 101141167627483537953738093684727346/140984484379545730859743221085\ 3*c_0110_6^11 - 32638742886006666848410207615365901/140984484379545\ 7308597432210853*c_0110_6^9 + 8152568480284055683105106318235850/14\ 09844843795457308597432210853*c_0110_6^7 - 1523544178222561054616221152910749/1409844843795457308597432210853*\ c_0110_6^5 + 198125421358221431878171571401799/14098448437954573085\ 97432210853*c_0110_6^3 - 17069384620052069263347111162995/140984484\ 3795457308597432210853*c_0110_6, c_0101_0 + 7571945437771334805257781155213/1409844843795457308597432210\ 853*c_0110_6^35 - 90470159331185229162750235832730/1409844843795457\ 308597432210853*c_0110_6^33 + 1108098763021919190000378756495734/14\ 09844843795457308597432210853*c_0110_6^31 - 10297890517809207341970749919026837/1409844843795457308597432210853\ *c_0110_6^29 + 63554910522883775597262207704610073/1409844843795457\ 308597432210853*c_0110_6^27 - 279920322743335254195124925081153355/\ 1409844843795457308597432210853*c_0110_6^25 + 876828264006776998006217074035098829/140984484379545730859743221085\ 3*c_0110_6^23 - 1933980222523222691846073839897172261/1409844843795\ 457308597432210853*c_0110_6^21 + 3029551011049661787970895942460122\ 726/1409844843795457308597432210853*c_0110_6^19 - 3418177701023039204704400851851861983/14098448437954573085974322108\ 53*c_0110_6^17 + 2797780245688700987833881083046338376/140984484379\ 5457308597432210853*c_0110_6^15 - 165732392258671154095777620272176\ 1440/1409844843795457308597432210853*c_0110_6^13 + 709407098507127380787414135226703530/140984484379545730859743221085\ 3*c_0110_6^11 - 223675435128320596468611005682011934/14098448437954\ 57308597432210853*c_0110_6^9 + 53669505333436260920513664133117612/\ 1409844843795457308597432210853*c_0110_6^7 - 9521611473819667870319908525685200/1409844843795457308597432210853*\ c_0110_6^5 + 1151781057779056405739709437820324/1409844843795457308\ 597432210853*c_0110_6^3 - 81687087471375596122346330973101/14098448\ 43795457308597432210853*c_0110_6, c_0101_1 + 2096313844866641628601321276296/1409844843795457308597432210\ 853*c_0110_6^34 - 25048360113273004518995484042570/1409844843795457\ 308597432210853*c_0110_6^32 + 306780362868362195878199449175519/140\ 9844843795457308597432210853*c_0110_6^30 - 2850990979424130869809722423104785/1409844843795457308597432210853*\ c_0110_6^28 + 17594675353666324347081587966960814/14098448437954573\ 08597432210853*c_0110_6^26 - 77483782151565213315114262156306818/14\ 09844843795457308597432210853*c_0110_6^24 + 242646990524989870712116472629487063/140984484379545730859743221085\ 3*c_0110_6^22 - 534885759226024219075518784079586750/14098448437954\ 57308597432210853*c_0110_6^20 + 83685942579340995762185884588160451\ 5/1409844843795457308597432210853*c_0110_6^18 - 941983165960768694329276238375414475/140984484379545730859743221085\ 3*c_0110_6^16 + 767855959399644609272945041386974746/14098448437954\ 57308597432210853*c_0110_6^14 - 45183152930654279202317291425597131\ 7/1409844843795457308597432210853*c_0110_6^12 + 191497122535076606170180123551633328/140984484379545730859743221085\ 3*c_0110_6^10 - 59718217292925092230869466272988960/140984484379545\ 7308597432210853*c_0110_6^8 + 14263441601988352185825328626400245/1\ 409844843795457308597432210853*c_0110_6^6 - 2530866394339943385874287815758070/1409844843795457308597432210853*\ c_0110_6^4 + 302413296327797582669807968681152/14098448437954573085\ 97432210853*c_0110_6^2 - 21872271702865290111656459268792/140984484\ 3795457308597432210853, c_0101_2 - 326718889225726636284950048299/14098448437954573085974322108\ 53*c_0110_6^35 + 4682630071505295375219745583452/140984484379545730\ 8597432210853*c_0110_6^33 - 56482883450444244267043275848994/140984\ 4843795457308597432210853*c_0110_6^31 + 551333211386627432093934916423272/1409844843795457308597432210853*c\ _0110_6^29 - 3715105781691664708697799990705057/1409844843795457308\ 597432210853*c_0110_6^27 + 17832150887221140681711817349153191/1409\ 844843795457308597432210853*c_0110_6^25 - 62025917086177432721190933412226065/1409844843795457308597432210853\ *c_0110_6^23 + 154436446894200672788226895975148734/140984484379545\ 7308597432210853*c_0110_6^21 - 273888990952083853689333290912108716\ /1409844843795457308597432210853*c_0110_6^19 + 348172373516784834866969389035957982/140984484379545730859743221085\ 3*c_0110_6^17 - 319046773800890417133102786076998289/14098448437954\ 57308597432210853*c_0110_6^15 + 20975683853207796248622608437574592\ 6/1409844843795457308597432210853*c_0110_6^13 - 97725875643405032742453348606570661/1409844843795457308597432210853\ *c_0110_6^11 + 32326722736045342176946514604077728/1409844843795457\ 308597432210853*c_0110_6^9 - 7896878187605299743673045820424498/140\ 9844843795457308597432210853*c_0110_6^7 + 1441361297474649704937687655555560/1409844843795457308597432210853*\ c_0110_6^5 - 172858514235539653355545809624384/14098448437954573085\ 97432210853*c_0110_6^3 + 11703827560089837434868871817493/140984484\ 3795457308597432210853*c_0110_6, c_0101_5 + 242890901569319670882332282153/14098448437954573085974322108\ 53*c_0110_6^34 - 2472960952306430242032035606930/140984484379545730\ 8597432210853*c_0110_6^32 + 30955781296822908350886130444212/140984\ 4843795457308597432210853*c_0110_6^30 - 273314982917593450669818935632452/1409844843795457308597432210853*c\ _0110_6^28 + 1526850356017865760176125169210703/1409844843795457308\ 597432210853*c_0110_6^26 - 6022675382795678337125311432799260/14098\ 44843795457308597432210853*c_0110_6^24 + 16002828136907725451029065959327259/1409844843795457308597432210853\ *c_0110_6^22 - 27740862160913430942052794605815717/1409844843795457\ 308597432210853*c_0110_6^20 + 31385298587841150076676974709397506/1\ 409844843795457308597432210853*c_0110_6^18 - 22738346607901208847002107250690740/1409844843795457308597432210853\ *c_0110_6^16 + 9357670979376575620290658224246580/14098448437954573\ 08597432210853*c_0110_6^14 - 1067888312217238586217904758393710/140\ 9844843795457308597432210853*c_0110_6^12 - 742113197381270081444065997125943/1409844843795457308597432210853*c\ _0110_6^10 + 398233103975939413445481768604184/14098448437954573085\ 97432210853*c_0110_6^8 - 140301955829522435223295134378201/14098448\ 43795457308597432210853*c_0110_6^6 + 35268885664974937107535918760377/1409844843795457308597432210853*c_\ 0110_6^4 - 3401486819577133020465533828856/140984484379545730859743\ 2210853*c_0110_6^2 - 498148331986096492247012327407/140984484379545\ 7308597432210853, c_0110_6^36 - 12*c_0110_6^34 + 147*c_0110_6^32 - 1368*c_0110_6^30 + 8469*c_0110_6^28 - 37448*c_0110_6^26 + 117974*c_0110_6^24 - 262473*c_0110_6^22 + 416330*c_0110_6^20 - 477913*c_0110_6^18 + 400530*c_0110_6^16 - 245177*c_0110_6^14 + 109766*c_0110_6^12 - 36614*c_0110_6^10 + 9379*c_0110_6^8 - 1825*c_0110_6^6 + 256*c_0110_6^4 - 24*c_0110_6^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB