Magma V2.19-8 Tue Aug 20 2013 16:18:49 on localhost [Seed = 1747580181] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2971 geometric_solution 6.15230974 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 3 0132 0132 1023 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 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 0.316183063794 0.809118999835 0 4 0 3 0132 0132 1023 3201 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 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 0.316183063794 0.809118999835 4 0 6 5 0132 0132 0132 0132 0 0 0 0 0 1 -1 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 -0.418982361349 1.072184528469 5 1 0 5 1023 2310 0132 2310 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 0 0 0 0 0 0.484657293629 1.629523882515 2 1 6 5 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.418982361349 1.072184528469 3 3 2 4 3201 1023 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 -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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.112345735760 0.444505316676 6 6 4 2 1230 3012 1023 0132 0 0 0 0 0 -1 0 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 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 0.785498680423 1.446437712068 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : negation(d['1']), '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' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_1100_2'], 'c_1100_5' : d['c_1100_2'], 'c_1100_4' : negation(d['c_1100_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_1100_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : negation(d['c_0011_6']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_6'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_0'], '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' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : negation(d['c_0101_6']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_6'], 'c_0110_2' : negation(d['c_0011_6']), 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0011_6'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_6'], 'c_1010_0' : negation(d['c_0101_6'])})} 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_6, c_1100_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 6567975375906843568451/45821004882199248168960*c_1100_2^11 + 23176469071075064463/40193863931753726464*c_1100_2^10 + 113198158590812186464627/61094673176265664225280*c_1100_2^9 + 74210127122509955543113/22910502441099624084480*c_1100_2^8 + 31320363762660799965769/45821004882199248168960*c_1100_2^7 - 130965319967030710056389/45821004882199248168960*c_1100_2^6 + 2692015658042860674799/18328401952879699267584*c_1100_2^5 + 190525806109454812407919/9646527343620894351360*c_1100_2^4 + 476219213180345017691099/91642009764398496337920*c_1100_2^3 - 291301388353593090557729/30547336588132832112640*c_1100_2^2 + 144739015424872861757917/30547336588132832112640*c_1100_2 + 2304643129944561277733239/183284019528796992675840, c_0011_0 - 1, c_0011_3 - 84113048002729628/3532663822126792365*c_1100_2^11 - 7219067287243112/78503640491706497*c_1100_2^10 - 341592633195510139/1177554607375597455*c_1100_2^9 - 1663960394956141058/3532663822126792365*c_1100_2^8 + 175535098987359983/3532663822126792365*c_1100_2^7 + 2529615142753004762/3532663822126792365*c_1100_2^6 + 209965211395243447/706532764425358473*c_1100_2^5 - 10355198385549875902/3532663822126792365*c_1100_2^4 - 1133380811303265226/3532663822126792365*c_1100_2^3 + 1800617525848047911/1177554607375597455*c_1100_2^2 - 4262718418314571/392518202458532485*c_1100_2 - 4094482898905761448/3532663822126792365, c_0011_6 + 12752219919226004/706532764425358473*c_1100_2^11 + 5890008455691452/78503640491706497*c_1100_2^10 + 59054707544125621/235510921475119491*c_1100_2^9 + 330002080197365477/706532764425358473*c_1100_2^8 + 156042877241235904/706532764425358473*c_1100_2^7 - 173633571776907905/706532764425358473*c_1100_2^6 - 132181701128600318/706532764425358473*c_1100_2^5 + 1436679928949268538/706532764425358473*c_1100_2^4 + 572697238196212576/706532764425358473*c_1100_2^3 - 34237191666172403/235510921475119491*c_1100_2^2 + 46181279410029199/78503640491706497*c_1100_2 + 505805317785049270/706532764425358473, c_0101_0 + 3754580998737652/3532663822126792365*c_1100_2^11 + 391515806073912/78503640491706497*c_1100_2^10 + 6895687605506861/1177554607375597455*c_1100_2^9 - 6819817107098498/3532663822126792365*c_1100_2^8 - 296299765163782192/3532663822126792365*c_1100_2^7 - 531551651090626468/3532663822126792365*c_1100_2^6 + 127254963407510893/706532764425358473*c_1100_2^5 + 1897003176109133753/3532663822126792365*c_1100_2^4 + 1292475629000350274/3532663822126792365*c_1100_2^3 - 1285240277537525989/1177554607375597455*c_1100_2^2 + 149218009633659729/392518202458532485*c_1100_2 + 2316113307950630642/3532663822126792365, c_0101_1 - 3754580998737652/3532663822126792365*c_1100_2^11 - 391515806073912/78503640491706497*c_1100_2^10 - 6895687605506861/1177554607375597455*c_1100_2^9 + 6819817107098498/3532663822126792365*c_1100_2^8 + 296299765163782192/3532663822126792365*c_1100_2^7 + 531551651090626468/3532663822126792365*c_1100_2^6 - 127254963407510893/706532764425358473*c_1100_2^5 - 1897003176109133753/3532663822126792365*c_1100_2^4 - 1292475629000350274/3532663822126792365*c_1100_2^3 + 1285240277537525989/1177554607375597455*c_1100_2^2 - 149218009633659729/392518202458532485*c_1100_2 - 2316113307950630642/3532663822126792365, c_0101_6 + 16599922455027904/1177554607375597455*c_1100_2^11 + 3649192619425300/78503640491706497*c_1100_2^10 + 54975466782229832/392518202458532485*c_1100_2^9 + 212290812815468209/1177554607375597455*c_1100_2^8 - 224011279805658874/1177554607375597455*c_1100_2^7 - 449433965868643336/1177554607375597455*c_1100_2^6 + 31497481536827437/235510921475119491*c_1100_2^5 + 2253348525266339291/1177554607375597455*c_1100_2^4 - 1034292591557377942/1177554607375597455*c_1100_2^3 - 677876918620748058/392518202458532485*c_1100_2^2 + 289660207287543734/392518202458532485*c_1100_2 + 993160142976209414/1177554607375597455, c_1100_2^12 + 4*c_1100_2^11 + 51/4*c_1100_2^10 + 22*c_1100_2^9 + 3*c_1100_2^8 - 23*c_1100_2^7 - 7/2*c_1100_2^6 + 511/4*c_1100_2^5 + 41/2*c_1100_2^4 - 161/2*c_1100_2^3 + 93/2*c_1100_2^2 + 317/4*c_1100_2 - 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB