Magma V2.19-8 Tue Aug 20 2013 16:16:48 on localhost [Seed = 661044208] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1073 geometric_solution 4.94294566 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 3201 2310 1023 0 0 0 0 0 -1 0 1 -1 0 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 -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 1.757291439510 0.523540813514 0 2 3 0 0132 0132 0132 1023 0 0 0 0 0 0 1 -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 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 -0.032647078324 0.758191702277 3 1 4 3 2310 0132 0132 2031 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 -1 0 1 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 0.234625308050 0.679256049763 4 2 2 1 1023 1302 3201 0132 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 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 0.234625308050 0.679256049763 5 3 5 2 0132 1023 2310 0132 0 0 0 0 0 0 0 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 0 0 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 1.434211276712 0.443023787985 4 4 6 6 0132 3201 0132 3201 0 0 0 0 0 0 0 0 -1 0 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 -1 0 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 0.347234960711 0.404488245530 6 5 6 5 2031 2310 1302 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.957572512325 1.563014403818 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(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' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_2'], '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_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : d['c_0011_6'], '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' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : 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_3, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 28 Groebner basis: [ t + 31805891902094881709967118989/80711886126179800632548543*c_0101_4^2\ 7 - 980862162320820433245711555012/80711886126179800632548543*c_010\ 1_4^25 - 3688433463992415256920668382651/80711886126179800632548543\ *c_0101_4^23 - 152464830966785701173062233809617/807118861261798006\ 32548543*c_0101_4^21 + 308088699124157324475031542377011/8071188612\ 6179800632548543*c_0101_4^19 + 545561417616698138893824010656329/80\ 711886126179800632548543*c_0101_4^17 - 1174975416737034741637517911240762/80711886126179800632548543*c_010\ 1_4^15 - 134724645746537391681893810897053/807118861261798006325485\ 43*c_0101_4^13 + 22018802613845384516072601439479/17172741728974425\ 66649969*c_0101_4^11 - 707398247548466162209751205693277/8071188612\ 6179800632548543*c_0101_4^9 + 233169116316993140554977189204049/807\ 11886126179800632548543*c_0101_4^7 - 43168177959626301542818686086009/80711886126179800632548543*c_0101_\ 4^5 + 4400173480556375211379813133862/80711886126179800632548543*c_\ 0101_4^3 - 196317746915711716346114662649/8071188612617980063254854\ 3*c_0101_4, c_0011_0 - 1, c_0011_3 - 5154195120479856835997094755/80711886126179800632548543*c_01\ 01_4^27 + 158653982572058159403429770917/80711886126179800632548543\ *c_0101_4^25 + 606788386893070215510263653798/807118861261798006325\ 48543*c_0101_4^23 + 24743523340253981354170407373773/80711886126179\ 800632548543*c_0101_4^21 - 48498046629119965397611638887634/8071188\ 6126179800632548543*c_0101_4^19 - 90965109326995264607122096088070/\ 80711886126179800632548543*c_0101_4^17 + 184754583540175509088897958607580/80711886126179800632548543*c_0101\ _4^15 + 31542258856744235950520257661988/80711886126179800632548543\ *c_0101_4^13 - 3495230951343132977210649836075/17172741728974425666\ 49969*c_0101_4^11 + 105722524333597836047117625034209/8071188612617\ 9800632548543*c_0101_4^9 - 33203479700972437866132536040505/8071188\ 6126179800632548543*c_0101_4^7 + 5854509955307234677703515594611/80\ 711886126179800632548543*c_0101_4^5 - 559247173442575497463806995575/80711886126179800632548543*c_0101_4^\ 3 + 22387992013042805907333039241/80711886126179800632548543*c_0101\ _4, c_0011_6 + 5541605945270956413557986480/80711886126179800632548543*c_01\ 01_4^27 - 170520362315120734602509408514/80711886126179800632548543\ *c_0101_4^25 - 654193049620708523012528133406/807118861261798006325\ 48543*c_0101_4^23 - 26610611844306752648389097144516/80711886126179\ 800632548543*c_0101_4^21 + 51860046014528296353433045014528/8071188\ 6126179800632548543*c_0101_4^19 + 98299537780351000961318013901950/\ 80711886126179800632548543*c_0101_4^17 - 197512193565579969807981256607191/80711886126179800632548543*c_0101\ _4^15 - 35791936901630715977268883058639/80711886126179800632548543\ *c_0101_4^13 + 3742872588215302542165682219480/17172741728974425666\ 49969*c_0101_4^11 - 111956248389524120895614069415671/8071188612617\ 9800632548543*c_0101_4^9 + 34812420313386684793365280424122/8071188\ 6126179800632548543*c_0101_4^7 - 6070646842148204160666314298673/80\ 711886126179800632548543*c_0101_4^5 + 572306074993409978992860557056/80711886126179800632548543*c_0101_4^\ 3 - 22466486040908072811467628016/80711886126179800632548543*c_0101\ _4, c_0101_0 + 6859886937630072902547834963/80711886126179800632548543*c_01\ 01_4^27 - 211442719109015558336846352463/80711886126179800632548543\ *c_0101_4^25 - 798865340836437399874493122949/807118861261798006325\ 48543*c_0101_4^23 - 32897137480595570250939051489991/80711886126179\ 800632548543*c_0101_4^21 + 65920594968319298647091695833084/8071188\ 6126179800632548543*c_0101_4^19 + 118588351478400126564850235778969\ /80711886126179800632548543*c_0101_4^17 - 251298026102855941752664784088413/80711886126179800632548543*c_0101\ _4^15 - 32545308919982502594092048443301/80711886126179800632548543\ *c_0101_4^13 + 4719360026535005501968337326211/17172741728974425666\ 49969*c_0101_4^11 - 149375951623084610625677110834042/8071188612617\ 9800632548543*c_0101_4^9 + 48724149444291876765918229272772/8071188\ 6126179800632548543*c_0101_4^7 - 8917630786029937574932942972792/80\ 711886126179800632548543*c_0101_4^5 + 889790286788710431384248639295/80711886126179800632548543*c_0101_4^\ 3 - 37690596893482172162822594178/80711886126179800632548543*c_0101\ _4, c_0101_1 - 4689029509784433480287550331/80711886126179800632548543*c_01\ 01_4^27 + 144352197186420489777640221948/80711886126179800632548543\ *c_0101_4^25 + 551512647983876055749819121265/807118861261798006325\ 48543*c_0101_4^23 + 22508405811464903437102587459456/80711886126179\ 800632548543*c_0101_4^21 - 44201545216289428274966877157506/8071188\ 6126179800632548543*c_0101_4^19 - 82605588745731780932625404938860/\ 80711886126179800632548543*c_0101_4^17 + 168392523838681752121495911676650/80711886126179800632548543*c_0101\ _4^15 + 28122045942303563486582670786912/80711886126179800632548543\ *c_0101_4^13 - 3183397043033721611399189750202/17172741728974425666\ 49969*c_0101_4^11 + 96708965254378702427415681569191/80711886126179\ 800632548543*c_0101_4^9 - 30485040595257368799517116508256/80711886\ 126179800632548543*c_0101_4^7 + 5399126292985510896108641901105/807\ 11886126179800632548543*c_0101_4^5 - 519258111825577268732629854649/80711886126179800632548543*c_0101_4^\ 3 + 20859075501557473764966341663/80711886126179800632548543*c_0101\ _4, c_0101_2 + 2640358423463085704522427726/80711886126179800632548543*c_01\ 01_4^26 - 81264108234617524304566899329/80711886126179800632548543*\ c_0101_4^24 - 311151553574038086021526742917/8071188612617980063254\ 8543*c_0101_4^22 - 12676727894458037810002397864241/807118861261798\ 00632548543*c_0101_4^20 + 24795222659571921174513499392601/80711886\ 126179800632548543*c_0101_4^18 + 46682144546152047028081953582015/8\ 0711886126179800632548543*c_0101_4^16 - 94446161250226078164747606857309/80711886126179800632548543*c_0101_\ 4^14 - 16470239382398973509455735467208/80711886126179800632548543*\ c_0101_4^12 + 1787644276166892369645669049715/171727417289744256664\ 9969*c_0101_4^10 - 53875966446263011137609477418288/807118861261798\ 00632548543*c_0101_4^8 + 16866852902253433700751357806688/807118861\ 26179800632548543*c_0101_4^6 - 2963460395133788258575036548292/8071\ 1886126179800632548543*c_0101_4^4 + 281962534391070846772300216299/80711886126179800632548543*c_0101_4^\ 2 - 11227025336596569302068413582/80711886126179800632548543, c_0101_4^28 - 31*c_0101_4^26 - 111*c_0101_4^24 - 4775*c_0101_4^22 + 10458*c_0101_4^20 + 15583*c_0101_4^18 - 39684*c_0101_4^16 + 1752*c_0101_4^14 + 33144*c_0101_4^12 - 27502*c_0101_4^10 + 10983*c_0101_4^8 - 2573*c_0101_4^6 + 364*c_0101_4^4 - 29*c_0101_4^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB