Magma V2.19-8 Tue Aug 20 2013 16:18:21 on localhost [Seed = 3549581053] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2559 geometric_solution 5.86536348 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 0132 0 0 0 0 0 0 -1 1 1 0 0 -1 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 -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 1.176868431301 1.299254064880 3 4 5 0 0132 0132 0132 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 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 0.396206071581 1.113038645176 4 3 0 5 0132 2310 0132 2310 0 0 0 0 0 0 -1 1 0 0 1 -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 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 0.396206071581 1.113038645176 1 6 6 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.316963463692 0.182674688339 2 1 4 4 0132 0132 1230 3012 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.953414036838 1.840068240152 2 5 5 1 3201 1230 3012 0132 0 0 0 0 0 -1 0 1 -1 0 1 0 -1 1 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 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 0.576771163932 0.399913205859 6 3 3 6 3201 0132 1023 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.068435047617 1.200590704326 ==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' : 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' : negation(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_0011_1'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_5'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_6' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : negation(d['c_0101_4']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_0'], 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_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_1, c_0011_5, c_0101_0, c_0101_1, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 62606169453442283938140170306048/40965311430202952114981302875*c_01\ 01_6^14 + 101001819428306708091960462685952/40965311430202952114981\ 302875*c_0101_6^13 - 32701907792446505503106961837184/1365510381006\ 7650704993767625*c_0101_6^12 + 71768355736786390955922842193152/585\ 2187347171850302140186125*c_0101_6^11 - 102943164993005037425000555743392/13655103810067650704993767625*c_0\ 101_6^10 - 316483780388572966687200481384/1354225171246378582313431\ 5*c_0101_6^9 + 1034247222596740590729446622639332/40965311430202952\ 114981302875*c_0101_6^8 - 37110256399157569645311171009532/37241192\ 20927541101361936625*c_0101_6^7 + 179190160897973130965943846528163\ /40965311430202952114981302875*c_0101_6^6 + 346778912215486510562784062557793/40965311430202952114981302875*c_0\ 101_6^5 - 637091109388385435513374847520551/40965311430202952114981\ 302875*c_0101_6^4 + 15937878119101350245788304184843/27310207620135\ 30140998753525*c_0101_6^3 + 114719454794253958285472562800618/40965\ 311430202952114981302875*c_0101_6^2 - 103244012692947040670548244051146/40965311430202952114981302875*c_0\ 101_6 + 20912170142931911451688447823683/40965311430202952114981302\ 875, c_0011_0 - 1, c_0011_1 - 1387281495148855753920/34183362266893304111*c_0101_6^14 + 2462694002461432434496/34183362266893304111*c_0101_6^13 - 2496008339333900825456/34183362266893304111*c_0101_6^12 + 11469832849677169699136/34183362266893304111*c_0101_6^11 - 8674423586846615382980/34183362266893304111*c_0101_6^10 - 20332956812717267416699/34183362266893304111*c_0101_6^9 + 26108043561986616740482/34183362266893304111*c_0101_6^8 - 11791394077311839310292/34183362266893304111*c_0101_6^7 + 5463619622431230327497/34183362266893304111*c_0101_6^6 + 6462112331697104263709/34183362266893304111*c_0101_6^5 - 14977002581093322308081/34183362266893304111*c_0101_6^4 + 6903866853235461734899/34183362266893304111*c_0101_6^3 + 1966206729326890737754/34183362266893304111*c_0101_6^2 - 2406173116779487753352/34183362266893304111*c_0101_6 + 511909346429138149884/34183362266893304111, c_0011_5 - 4466353216695270177728/34183362266893304111*c_0101_6^14 + 6894620808377149944704/34183362266893304111*c_0101_6^13 - 6732761715995999971568/34183362266893304111*c_0101_6^12 + 35877476494065114468240/34183362266893304111*c_0101_6^11 - 20047552319755156699540/34183362266893304111*c_0101_6^10 - 67678654704567461030891/34183362266893304111*c_0101_6^9 + 66672888656544425306319/34183362266893304111*c_0101_6^8 - 27393461921047522142814/34183362266893304111*c_0101_6^7 + 15880034695761521962972/34183362266893304111*c_0101_6^6 + 23171445719567919234710/34183362266893304111*c_0101_6^5 - 41159936814171948005864/34183362266893304111*c_0101_6^4 + 14289534396932053408656/34183362266893304111*c_0101_6^3 + 6948803075618829950149/34183362266893304111*c_0101_6^2 - 5527509373028795130780/34183362266893304111*c_0101_6 + 934376913538176647368/34183362266893304111, c_0101_0 + 1466238482639959064000/34183362266893304111*c_0101_6^14 - 1916610088722970159424/34183362266893304111*c_0101_6^13 + 1892583941091039513456/34183362266893304111*c_0101_6^12 - 11469018729562572870016/34183362266893304111*c_0101_6^11 + 3996571263337424685924/34183362266893304111*c_0101_6^10 + 22151806381912545067327/34183362266893304111*c_0101_6^9 - 16581779038257741976274/34183362266893304111*c_0101_6^8 + 7203278090668744340359/34183362266893304111*c_0101_6^7 - 4492012413394374132300/34183362266893304111*c_0101_6^6 - 8382403640580969044519/34183362266893304111*c_0101_6^5 + 11303272377211189901541/34183362266893304111*c_0101_6^4 - 2870918311346381939065/34183362266893304111*c_0101_6^3 - 2099099838735635509052/34183362266893304111*c_0101_6^2 + 1280978588423652246961/34183362266893304111*c_0101_6 - 215755595911994966646/34183362266893304111, c_0101_1 + 7389169753292109063808/34183362266893304111*c_0101_6^14 - 11327853166445895918464/34183362266893304111*c_0101_6^13 + 11137463781378963829408/34183362266893304111*c_0101_6^12 - 59283041618847023276736/34183362266893304111*c_0101_6^11 + 32629607174291268642264/34183362266893304111*c_0101_6^10 + 111494029714408673084250/34183362266893304111*c_0101_6^9 - 109589987171875225853132/34183362266893304111*c_0101_6^8 + 45671844437869750078730/34183362266893304111*c_0101_6^7 - 25813044952802985120135/34183362266893304111*c_0101_6^6 - 38214828373569914236787/34183362266893304111*c_0101_6^5 + 67915939631185428591529/34183362266893304111*c_0101_6^4 - 23629998427150128094104/34183362266893304111*c_0101_6^3 - 11360240036077786512622/34183362266893304111*c_0101_6^2 + 9100120909029231669126/34183362266893304111*c_0101_6 - 1590119976440453820915/34183362266893304111, c_0101_4 - 1165428820431510645888/34183362266893304111*c_0101_6^14 + 2199025765085971247040/34183362266893304111*c_0101_6^13 - 2073976322441300698912/34183362266893304111*c_0101_6^12 + 9687799121038720492496/34183362266893304111*c_0101_6^11 - 8161143228863479909320/34183362266893304111*c_0101_6^10 - 18108083659033842094950/34183362266893304111*c_0101_6^9 + 23429772540502085260321/34183362266893304111*c_0101_6^8 - 8620361307187450582661/34183362266893304111*c_0101_6^7 + 4971625995135852346293/34183362266893304111*c_0101_6^6 + 5398656004577018818730/34183362266893304111*c_0101_6^5 - 13477055575005135756580/34183362266893304111*c_0101_6^4 + 5575131370177313218528/34183362266893304111*c_0101_6^3 + 2058516979929045171762/34183362266893304111*c_0101_6^2 - 1960582710263617304391/34183362266893304111*c_0101_6 + 341340610098839979450/34183362266893304111, c_0101_6^15 - 2*c_0101_6^14 + 9/4*c_0101_6^13 - 35/4*c_0101_6^12 + 131/16*c_0101_6^11 + 821/64*c_0101_6^10 - 1401/64*c_0101_6^9 + 27/2*c_0101_6^8 - 417/64*c_0101_6^7 - 111/32*c_0101_6^6 + 185/16*c_0101_6^5 - 489/64*c_0101_6^4 + 3/32*c_0101_6^3 + 125/64*c_0101_6^2 - 53/64*c_0101_6 + 7/64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB