Magma V2.19-8 Tue Aug 20 2013 16:17:30 on localhost [Seed = 1141233821] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1731 geometric_solution 5.43529340 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 0 0 0132 2310 1230 3012 0 0 0 0 0 0 1 -1 1 0 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 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 2.020288409179 0.614936162646 0 2 3 0 0132 0132 0132 3201 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 -1 0 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 0.199707416128 0.743264937779 4 1 5 4 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.171201419853 0.577016369926 5 4 4 1 1023 3201 2310 0132 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 0 0 0 0 0 0 0 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.171201419853 0.577016369926 2 3 3 2 0132 3201 2310 1023 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 1 -1 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 1.527404484689 1.592833452681 6 3 6 2 0132 1023 2310 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.879600495469 1.581349142428 5 5 6 6 0132 3201 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.270041471519 0.270217916974 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : negation(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' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(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' : 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_0101_5'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_5'], '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' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_6' : negation(d['c_0011_3']), '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' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_4']), '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' : d['c_0101_4'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0101_1'], '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_3, c_0101_0, c_0101_1, c_0101_2, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 28 Groebner basis: [ t - 5733451861158349563341/4336156592212310750*c_0101_5^13 - 13901752000083256994436/2168078296106155375*c_0101_5^12 - 16841612562445833511007/2168078296106155375*c_0101_5^11 - 29935016557524486608539/4336156592212310750*c_0101_5^10 - 49801674372819386899107/2168078296106155375*c_0101_5^9 - 168134438348737844681/34689252737698486*c_0101_5^8 + 48641624112887660459124/2168078296106155375*c_0101_5^7 - 8722232156696556323779/4336156592212310750*c_0101_5^6 - 695552805072666664637/2168078296106155375*c_0101_5^5 + 9631578691311675408674/2168078296106155375*c_0101_5^4 + 12686551916642483033187/4336156592212310750*c_0101_5^3 + 255082988711774120274/433615659221231075*c_0101_5^2 + 1239822536223098395627/4336156592212310750*c_0101_5 - 97798135819950473524/2168078296106155375, c_0011_0 - 1, c_0011_3 - 3694570109488858592/433615659221231075*c_0101_5^13 - 17678016753992396114/433615659221231075*c_0101_5^12 - 20194528962956857393/433615659221231075*c_0101_5^11 - 16188564915923730168/433615659221231075*c_0101_5^10 - 60982912789453230943/433615659221231075*c_0101_5^9 - 311803398566317991/17344626368849243*c_0101_5^8 + 69582187324470503701/433615659221231075*c_0101_5^7 - 8650171747285243073/433615659221231075*c_0101_5^6 - 7045114127578922838/433615659221231075*c_0101_5^5 + 13663079885328565151/433615659221231075*c_0101_5^4 + 8094755482649994994/433615659221231075*c_0101_5^3 - 198636149397400529/86723131844246215*c_0101_5^2 - 268629921474592276/433615659221231075*c_0101_5 - 345867446556723426/433615659221231075, c_0101_0 - 1969284065916030021/433615659221231075*c_0101_2*c_0101_5^13 - 3281077643879134132/433615659221231075*c_0101_2*c_0101_5^12 + 19513944762365526541/433615659221231075*c_0101_2*c_0101_5^11 + 29186182490351944616/433615659221231075*c_0101_2*c_0101_5^10 - 319626562858201559/433615659221231075*c_0101_2*c_0101_5^9 + 4130424097130752152/17344626368849243*c_0101_2*c_0101_5^8 + 3516259204619723802/22821876801117425*c_0101_2*c_0101_5^7 - 116858930736105156524/433615659221231075*c_0101_2*c_0101_5^6 + 2122325472871618506/433615659221231075*c_0101_2*c_0101_5^5 + 20556791800278984663/433615659221231075*c_0101_2*c_0101_5^4 - 24844349696496903253/433615659221231075*c_0101_2*c_0101_5^3 - 2542090708633227872/86723131844246215*c_0101_2*c_0101_5^2 - 2668630053805606188/433615659221231075*c_0101_2*c_0101_5 - 1404411800450731263/433615659221231075*c_0101_2, c_0101_1 + 16362015505641508862/433615659221231075*c_0101_5^13 + 77416272102084422704/433615659221231075*c_0101_5^12 + 86744708538930845998/433615659221231075*c_0101_5^11 + 73968389918712214298/433615659221231075*c_0101_5^10 + 274002188763952325698/433615659221231075*c_0101_5^9 + 1049023299304868080/17344626368849243*c_0101_5^8 - 285312959347539626711/433615659221231075*c_0101_5^7 + 57394707751685158603/433615659221231075*c_0101_5^6 + 1067937826582841168/433615659221231075*c_0101_5^5 - 55570503683541199261/433615659221231075*c_0101_5^4 - 29453820633499628484/433615659221231075*c_0101_5^3 - 580519863034607021/86723131844246215*c_0101_5^2 - 2298483710202216514/433615659221231075*c_0101_5 + 35642660351649019/22821876801117425, c_0101_2^2 + 41833357550099834/22821876801117425*c_0101_5^13 + 4586124210444023407/433615659221231075*c_0101_5^12 + 8231642393136774184/433615659221231075*c_0101_5^11 + 8493027562154329409/433615659221231075*c_0101_5^10 + 17616348471838589809/433615659221231075*c_0101_5^9 + 627821224223368989/17344626368849243*c_0101_5^8 - 10452401068987125313/433615659221231075*c_0101_5^7 - 11460575965748534326/433615659221231075*c_0101_5^6 + 1407920497755765919/433615659221231075*c_0101_5^5 - 1907617252795451438/433615659221231075*c_0101_5^4 - 5138308186901331797/433615659221231075*c_0101_5^3 - 536939566913578763/86723131844246215*c_0101_5^2 - 616201844812005762/433615659221231075*c_0101_5 - 90111466085094112/433615659221231075, c_0101_4 + 2608043602537333997/433615659221231075*c_0101_5^13 + 7238429865149160399/433615659221231075*c_0101_5^12 - 11172297837254885362/433615659221231075*c_0101_5^11 - 19478436495256535587/433615659221231075*c_0101_5^10 + 805978400889873077/22821876801117425*c_0101_5^9 - 3441584263426483982/17344626368849243*c_0101_5^8 - 68707500802317393391/433615659221231075*c_0101_5^7 + 94365097986716379993/433615659221231075*c_0101_5^6 - 3063744498323899692/433615659221231075*c_0101_5^5 - 8880896487718219716/433615659221231075*c_0101_5^4 + 13091412882202604971/433615659221231075*c_0101_5^3 + 2241867804046797989/86723131844246215*c_0101_5^2 + 2420586644120576466/433615659221231075*c_0101_5 + 1277377390348553216/433615659221231075, c_0101_5^14 + 5*c_0101_5^13 + 275/41*c_0101_5^12 + 271/41*c_0101_5^11 + 771/41*c_0101_5^10 + 282/41*c_0101_5^9 - 598/41*c_0101_5^8 - 20/41*c_0101_5^7 - 49/41*c_0101_5^6 - 136/41*c_0101_5^5 - 111/41*c_0101_5^4 - 46/41*c_0101_5^3 - 22/41*c_0101_5^2 - 3/41*c_0101_5 - 1/41 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB