Magma V2.19-8 Tue Aug 20 2013 16:16:00 on localhost [Seed = 1865348008] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0239 geometric_solution 4.24073365 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 3201 0132 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 0.266858080104 0.056010758849 0 1 0 1 0132 2310 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 -1.904808727348 0.197745471032 3 0 3 0 0132 2310 2310 0132 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 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 -1.193755933154 1.193624911545 2 2 4 5 0132 3201 0132 0132 0 0 0 0 0 -1 2 -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 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 0.264485306794 1.259428133739 6 5 5 3 0132 1023 2031 0132 0 0 0 0 0 1 1 -2 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 -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 0.396644910442 0.597463732927 4 6 3 4 1023 3201 0132 1302 0 0 0 0 0 0 1 -1 -1 0 1 0 0 1 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 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.396644910442 0.597463732927 4 6 5 6 0132 2310 2310 3201 0 0 0 0 0 1 -1 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 -1 1 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 -0.771247419784 1.161725135768 ==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' : 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' : 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' : negation(d['1']), 's_1_0' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : 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' : d['c_0101_4'], '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' : negation(d['c_0101_4']), '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: 18 Groebner basis: [ t + 5938379828871366543/522223688363750134*c_0101_4^17 - 78832386791424764961/522223688363750134*c_0101_4^16 + 4971892005792893612/6368581565411587*c_0101_4^15 - 525278309578843362875/261111844181875067*c_0101_4^14 + 782957243931992024619/261111844181875067*c_0101_4^13 - 962481190506154618303/261111844181875067*c_0101_4^12 + 2294744298824289170911/522223688363750134*c_0101_4^11 - 834126509372267259912/261111844181875067*c_0101_4^10 + 17199337171402839407/6368581565411587*c_0101_4^9 - 355196996583944146926/261111844181875067*c_0101_4^8 - 1726387362527378704325/522223688363750134*c_0101_4^7 + 500142780035551503266/261111844181875067*c_0101_4^6 - 33146558532316663829/15359520245992651*c_0101_4^5 - 53536485832689225289/261111844181875067*c_0101_4^4 + 128542376429714805463/261111844181875067*c_0101_4^3 + 92666913501676510243/522223688363750134*c_0101_4^2 + 11756050267344381342/261111844181875067*c_0101_4 - 9315526244158580847/261111844181875067, c_0011_0 - 1, c_0011_2 + 14585959276/591624830761*c_0101_4^17 - 255004424176/591624830761*c_0101_4^16 + 43732821584/14429873921*c_0101_4^15 - 6506162384025/591624830761*c_0101_4^14 + 13366456095178/591624830761*c_0101_4^13 - 18106492424540/591624830761*c_0101_4^12 + 22735180875638/591624830761*c_0101_4^11 - 25249523165025/591624830761*c_0101_4^10 + 436451668194/14429873921*c_0101_4^9 - 17240573054532/591624830761*c_0101_4^8 + 3262289352065/591624830761*c_0101_4^7 + 18129039584119/591624830761*c_0101_4^6 - 216548824673/34801460633*c_0101_4^5 + 12064134004439/591624830761*c_0101_4^4 + 3777957293124/591624830761*c_0101_4^3 + 1206254935052/591624830761*c_0101_4^2 - 932946092370/591624830761*c_0101_4 - 826034761454/591624830761, c_0011_4 + 2806267129116932/8422962715544357*c_0101_4^17 - 36771913172662154/8422962715544357*c_0101_4^16 + 4546938908172197/205438115013277*c_0101_4^15 - 465366127294924868/8422962715544357*c_0101_4^14 + 664479010390415093/8422962715544357*c_0101_4^13 - 806185523559075878/8422962715544357*c_0101_4^12 + 963100997136644260/8422962715544357*c_0101_4^11 - 651454429142696267/8422962715544357*c_0101_4^10 + 14493720023857728/205438115013277*c_0101_4^9 - 271490505063012485/8422962715544357*c_0101_4^8 - 810932499161584603/8422962715544357*c_0101_4^7 + 295894352718937727/8422962715544357*c_0101_4^6 - 27754658000415967/495468395032021*c_0101_4^5 - 160645997375612677/8422962715544357*c_0101_4^4 + 72138732122710515/8422962715544357*c_0101_4^3 + 52826648759436944/8422962715544357*c_0101_4^2 + 10321021240918156/8422962715544357*c_0101_4 - 3503224654357534/8422962715544357, c_0101_0 - 259117128477907/8422962715544357*c_0101_4^17 + 3217028349154237/8422962715544357*c_0101_4^16 - 358678144466983/205438115013277*c_0101_4^15 + 28940011062290030/8422962715544357*c_0101_4^14 - 21134906894408115/8422962715544357*c_0101_4^13 + 7100916726834804/8422962715544357*c_0101_4^12 - 3764168183856023/8422962715544357*c_0101_4^11 - 44421365583869454/8422962715544357*c_0101_4^10 + 1021073454642290/205438115013277*c_0101_4^9 - 50910985434653618/8422962715544357*c_0101_4^8 + 136047199961619355/8422962715544357*c_0101_4^7 + 778474200591461/8422962715544357*c_0101_4^6 - 702292359486830/495468395032021*c_0101_4^5 + 36449894003655640/8422962715544357*c_0101_4^4 - 18955729220451801/8422962715544357*c_0101_4^3 - 21369985458216482/8422962715544357*c_0101_4^2 - 13306181836659573/8422962715544357*c_0101_4 + 2490440918860243/8422962715544357, c_0101_1 - 2320269678082126/8422962715544357*c_0101_4^17 + 29802657130680732/8422962715544357*c_0101_4^16 - 3569296388997715/205438115013277*c_0101_4^15 + 345935412236928254/8422962715544357*c_0101_4^14 - 455811881879076834/8422962715544357*c_0101_4^13 + 541440298607759121/8422962715544357*c_0101_4^12 - 651025442705969343/8422962715544357*c_0101_4^11 + 363565910029714811/8422962715544357*c_0101_4^10 - 9446832035452490/205438115013277*c_0101_4^9 + 124228973773294130/8422962715544357*c_0101_4^8 + 719763792117997150/8422962715544357*c_0101_4^7 - 65984996553034944/8422962715544357*c_0101_4^6 + 21099697746714793/495468395032021*c_0101_4^5 + 185820989181110306/8422962715544357*c_0101_4^4 - 16303557746799365/8422962715544357*c_0101_4^3 - 68905478568310256/8422962715544357*c_0101_4^2 - 32206845235775805/8422962715544357*c_0101_4 + 4928442191528507/8422962715544357, c_0101_2 - 2212646870662773/8422962715544357*c_0101_4^17 + 28722438209444147/8422962715544357*c_0101_4^16 - 3503313250316568/205438115013277*c_0101_4^15 + 351570676902980114/8422962715544357*c_0101_4^14 - 492873574634266479/8422962715544357*c_0101_4^13 + 608051235111962487/8422962715544357*c_0101_4^12 - 737805488975050220/8422962715544357*c_0101_4^11 + 492605613452772810/8422962715544357*c_0101_4^10 - 12095152569894925/205438115013277*c_0101_4^9 + 229047029442070584/8422962715544357*c_0101_4^8 + 605742670892157630/8422962715544357*c_0101_4^7 - 114201487466375774/8422962715544357*c_0101_4^6 + 22863906452185402/495468395032021*c_0101_4^5 + 140261816839163331/8422962715544357*c_0101_4^4 - 11203417258704743/8422962715544357*c_0101_4^3 - 58768737918930091/8422962715544357*c_0101_4^2 - 17187573865689710/8422962715544357*c_0101_4 + 2178884144190357/8422962715544357, c_0101_4^18 - 13*c_0101_4^17 + 65*c_0101_4^16 - 158*c_0101_4^15 + 215*c_0101_4^14 - 252*c_0101_4^13 + 299*c_0101_4^12 - 178*c_0101_4^11 + 165*c_0101_4^10 - 61*c_0101_4^9 - 317*c_0101_4^8 + 82*c_0101_4^7 - 137*c_0101_4^6 - 71*c_0101_4^5 + 38*c_0101_4^4 + 29*c_0101_4^3 + 8*c_0101_4^2 - 3*c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB