Magma V2.19-8 Tue Aug 20 2013 16:16:11 on localhost [Seed = 3566553104] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0452 geometric_solution 4.49316187 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 3201 0132 3201 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 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 0.250966475695 0.068942510485 0 1 0 1 0132 2310 2310 3201 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 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 -1.942582749355 0.261969096713 3 0 3 0 0132 2310 2310 0132 0 0 0 0 0 0 0 0 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 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 -1.283055880993 1.667980791873 2 2 4 5 0132 3201 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 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 0.007535342541 0.867608460243 6 5 5 3 0132 1023 2031 0132 0 0 0 0 0 0 1 -1 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 1 0 -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 0.347033351551 0.834250660412 4 6 3 4 1023 2310 0132 1302 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 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 0.347033351551 0.834250660412 4 6 6 5 0132 3201 2310 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 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 -0.425074312470 1.021857191295 ==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' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : 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' : negation(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_4']), 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : d['c_0101_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_2']), 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_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' : 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' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_0']), 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : negation(d['c_0101_0']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_0']), '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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 1597402961437930729/154411556156332598*c_0101_4^15 + 15617021565876606123/154411556156332598*c_0101_4^14 + 21109514822493149965/77205778078166299*c_0101_4^13 - 515954786838989499/4981017940526858*c_0101_4^12 - 152812263028127256095/154411556156332598*c_0101_4^11 + 111914776665562661381/154411556156332598*c_0101_4^10 + 374264450994881189075/77205778078166299*c_0101_4^9 + 565405472540744360902/77205778078166299*c_0101_4^8 + 1383329612639809264487/154411556156332598*c_0101_4^7 + 449876859190625900873/77205778078166299*c_0101_4^6 + 14009578765734514204/77205778078166299*c_0101_4^5 + 32673551412088700098/77205778078166299*c_0101_4^4 + 12861212308726831339/77205778078166299*c_0101_4^3 - 50768928114194488249/154411556156332598*c_0101_4^2 - 8078333117442405965/77205778078166299*c_0101_4 + 357317359600871600/77205778078166299, c_0011_0 - 1, c_0011_2 + 133943163591/780479150819*c_0101_4^15 + 1423104604110/780479150819*c_0101_4^14 + 4499095414578/780479150819*c_0101_4^13 + 297473859487/780479150819*c_0101_4^12 - 16932477578401/780479150819*c_0101_4^11 + 2034986353116/780479150819*c_0101_4^10 + 81963608121927/780479150819*c_0101_4^9 + 129982041470885/780479150819*c_0101_4^8 + 141085047311187/780479150819*c_0101_4^7 + 103616766963270/780479150819*c_0101_4^6 - 18445382900473/780479150819*c_0101_4^5 - 24281785238534/780479150819*c_0101_4^4 + 13928348869771/780479150819*c_0101_4^3 - 13444727781961/780479150819*c_0101_4^2 - 2707914675305/780479150819*c_0101_4 + 1801868551113/780479150819, c_0011_4 + 1704500189669594/2490508970263429*c_0101_4^15 + 15603617752605485/2490508970263429*c_0101_4^14 + 34957387922075961/2490508970263429*c_0101_4^13 - 42520642113998330/2490508970263429*c_0101_4^12 - 146260252068632113/2490508970263429*c_0101_4^11 + 215475409076775169/2490508970263429*c_0101_4^10 + 700365600528630156/2490508970263429*c_0101_4^9 + 739240214010155751/2490508970263429*c_0101_4^8 + 841829651213035535/2490508970263429*c_0101_4^7 + 186748041818657542/2490508970263429*c_0101_4^6 - 390753077722763623/2490508970263429*c_0101_4^5 + 131411024366179048/2490508970263429*c_0101_4^4 - 46992754507538202/2490508970263429*c_0101_4^3 - 47300324034812865/2490508970263429*c_0101_4^2 + 9698744313089142/2490508970263429*c_0101_4 + 2136351856292567/2490508970263429, c_0101_0 + 451468871752836/2490508970263429*c_0101_4^15 + 4362248521829337/2490508970263429*c_0101_4^14 + 11361583282088755/2490508970263429*c_0101_4^13 - 6424631903058713/2490508970263429*c_0101_4^12 - 43562638388694627/2490508970263429*c_0101_4^11 + 38456293459802569/2490508970263429*c_0101_4^10 + 210485532719667757/2490508970263429*c_0101_4^9 + 286893737232180437/2490508970263429*c_0101_4^8 + 340388216566276271/2490508970263429*c_0101_4^7 + 183470053819488980/2490508970263429*c_0101_4^6 - 49782005741373868/2490508970263429*c_0101_4^5 + 12669323367575443/2490508970263429*c_0101_4^4 - 5169456859478523/2490508970263429*c_0101_4^3 - 11500214275625463/2490508970263429*c_0101_4^2 - 5632828007998937/2490508970263429*c_0101_4 + 294897015186720/2490508970263429, c_0101_1 - 567897875610337/2490508970263429*c_0101_4^15 - 4824261443258405/2490508970263429*c_0101_4^14 - 8203769925482884/2490508970263429*c_0101_4^13 + 22041391736057346/2490508970263429*c_0101_4^12 + 40169299512926021/2490508970263429*c_0101_4^11 - 103464507292872512/2490508970263429*c_0101_4^10 - 188867508302598745/2490508970263429*c_0101_4^9 - 93121483684842625/2490508970263429*c_0101_4^8 - 104500246468173237/2490508970263429*c_0101_4^7 + 142877268743123450/2490508970263429*c_0101_4^6 + 201200300543073828/2490508970263429*c_0101_4^5 - 101161911113827904/2490508970263429*c_0101_4^4 + 46606178425992485/2490508970263429*c_0101_4^3 + 14162752092302115/2490508970263429*c_0101_4^2 - 15473783766591833/2490508970263429*c_0101_4 - 444447214859302/2490508970263429, c_0101_2 - 1318395423416986/2490508970263429*c_0101_4^15 - 11970184683872613/2490508970263429*c_0101_4^14 - 26233318585345170/2490508970263429*c_0101_4^13 + 34105276800572462/2490508970263429*c_0101_4^12 + 109384224230720791/2490508970263429*c_0101_4^11 - 171818784771208438/2490508970263429*c_0101_4^10 - 524620922166931651/2490508970263429*c_0101_4^9 - 546136452986704637/2490508970263429*c_0101_4^8 - 631970267827961176/2490508970263429*c_0101_4^7 - 124897034245583954/2490508970263429*c_0101_4^6 + 283008401220403017/2490508970263429*c_0101_4^5 - 115885279569970200/2490508970263429*c_0101_4^4 + 46571501306241539/2490508970263429*c_0101_4^3 + 38519296323971891/2490508970263429*c_0101_4^2 - 8781446158521108/2490508970263429*c_0101_4 - 1190813101798858/2490508970263429, c_0101_4^16 + 9*c_0101_4^15 + 19*c_0101_4^14 - 29*c_0101_4^13 - 84*c_0101_4^12 + 142*c_0101_4^11 + 400*c_0101_4^10 + 358*c_0101_4^9 + 386*c_0101_4^8 - 8*c_0101_4^7 - 297*c_0101_4^6 + 99*c_0101_4^5 - 16*c_0101_4^4 - 37*c_0101_4^3 + 16*c_0101_4^2 + 3*c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB