Magma V2.19-8 Tue Aug 20 2013 16:16:53 on localhost [Seed = 3903419447] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1140 geometric_solution 5.00808278 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 1 1 0 3201 0132 1023 2310 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 2.011513154448 0.233567465250 2 0 0 2 0132 0132 1023 3201 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 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 -0.671690389429 0.483888087490 1 1 3 4 0132 2310 0132 0132 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 0 0 0 -1 0 1 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 0.187024414287 0.302720292745 5 4 6 2 0132 3012 0132 0132 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 0 0 0 1 0 0 -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 0.489150933869 0.863177907617 3 5 2 6 1230 0132 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.489150933869 0.863177907617 3 4 5 5 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 -1 1 -1 0 0 1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.988387573804 1.689633534551 6 4 6 3 2310 2310 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.011612426196 1.689633534551 ==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' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : 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' : negation(d['c_0011_6']), 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : negation(d['c_0011_6']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_6']), 'c_1100_2' : negation(d['c_0011_6']), 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], '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' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_2'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : 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_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t - 37901645511396328353167421/783779656436542213778720*c_0101_3^22 + 1359074114016661195824871693/783779656436542213778720*c_0101_3^20 - 9947382830417140853139861263/391889828218271106889360*c_0101_3^18 + 47238848926675591186445304723/195944914109135553444680*c_0101_3^16 - 119577651448693318948402564909/97972457054567776722340*c_0101_3^14 + 16863634436893160692873466738/4898622852728388836117*c_0101_3^12 - 33438974020347918731146857483/4898622852728388836117*c_0101_3^10 + 452726476994799862168979492579/48986228527283888361170*c_0101_3^8 - 329651608349096319302793740679/48986228527283888361170*c_0101_3^6 + 115320871422972087279591543713/48986228527283888361170*c_0101_3^4 - 9036711067536277098638168483/24493114263641944180585*c_0101_3^2 + 532637102573500737698616699/24493114263641944180585, c_0011_0 - 1, c_0011_3 + 19042776276152870149/1855099778548028908352*c_0101_3^23 - 343968015850366724521/927549889274014454176*c_0101_3^21 + 5089355185418920628733/927549889274014454176*c_0101_3^19 - 24404513372366441178431/463774944637007227088*c_0101_3^17 + 63264443514122037751571/231887472318503613544*c_0101_3^15 - 185600405531559878986581/231887472318503613544*c_0101_3^13 + 381549830566202605120903/231887472318503613544*c_0101_3^11 - 68104654397197127315094/28985934039812951693*c_0101_3^9 + 226103142330405174862655/115943736159251806772*c_0101_3^7 - 50480009531906131162083/57971868079625903386*c_0101_3^5 + 11168782739702942580709/57971868079625903386*c_0101_3^3 - 449243236156764146208/28985934039812951693*c_0101_3, c_0011_6 + 12533426404130713363/927549889274014454176*c_0101_3^22 - 112429442013205590345/231887472318503613544*c_0101_3^20 + 3294764043283380054221/463774944637007227088*c_0101_3^18 - 31321129390607971665771/463774944637007227088*c_0101_3^16 + 9932908423770860352911/28985934039812951693*c_0101_3^14 - 225024132086529612235795/231887472318503613544*c_0101_3^12 + 56006596918004808327972/28985934039812951693*c_0101_3^10 - 76316905709012521571519/28985934039812951693*c_0101_3^8 + 113118614365661004698149/57971868079625903386*c_0101_3^6 - 41377393986503236984221/57971868079625903386*c_0101_3^4 + 3559405180029424293786/28985934039812951693*c_0101_3^2 - 221507382066477663956/28985934039812951693, c_0101_0 + 87943917777935312197/927549889274014454176*c_0101_3^22 - 1577507709895288782547/463774944637007227088*c_0101_3^20 + 11554121655902798113859/231887472318503613544*c_0101_3^18 - 219609783606902888128427/463774944637007227088*c_0101_3^16 + 69593812871500680208242/28985934039812951693*c_0101_3^14 - 1574133150374080791137423/231887472318503613544*c_0101_3^12 + 1563738352312236118440617/115943736159251806772*c_0101_3^10 - 2123540643009094813590817/115943736159251806772*c_0101_3^8 + 389511826067198830072053/28985934039812951693*c_0101_3^6 - 275717335312141428130685/57971868079625903386*c_0101_3^4 + 21807905679954637928943/28985934039812951693*c_0101_3^2 - 1275101321649103897188/28985934039812951693, c_0101_1 + 499328473708753523/463774944637007227088*c_0101_3^22 - 38298625947856740705/927549889274014454176*c_0101_3^20 + 306245497813144651329/463774944637007227088*c_0101_3^18 - 3125670921215184531433/463774944637007227088*c_0101_3^16 + 9281999539937249322067/231887472318503613544*c_0101_3^14 - 8085744332018091639701/57971868079625903386*c_0101_3^12 + 37012580916831046922875/115943736159251806772*c_0101_3^10 - 60501898713474811170907/115943736159251806772*c_0101_3^8 + 15784471901786149891785/28985934039812951693*c_0101_3^6 - 8107558455410983305172/28985934039812951693*c_0101_3^4 + 1637757991673157995237/28985934039812951693*c_0101_3^2 - 92641461228847606354/28985934039812951693, c_0101_2 - 51978979728629449309/927549889274014454176*c_0101_3^22 + 116485426210154060045/57971868079625903386*c_0101_3^20 - 13640435646251971880819/463774944637007227088*c_0101_3^18 + 129546355334587507205691/463774944637007227088*c_0101_3^16 - 327881363812706051082915/231887472318503613544*c_0101_3^14 + 924627599442598061507451/231887472318503613544*c_0101_3^12 - 229156905504104768100665/28985934039812951693*c_0101_3^10 + 310183441008904382537535/28985934039812951693*c_0101_3^8 - 225749476742226653336881/28985934039812951693*c_0101_3^6 + 157804426357916771820441/57971868079625903386*c_0101_3^4 - 12259938096311148243508/28985934039812951693*c_0101_3^2 + 697791943785775042796/28985934039812951693, c_0101_3^24 - 36*c_0101_3^22 + 530*c_0101_3^20 - 5060*c_0101_3^18 + 25948*c_0101_3^16 - 74776*c_0101_3^14 + 151280*c_0101_3^12 - 211184*c_0101_3^10 + 166336*c_0101_3^8 - 68480*c_0101_3^6 + 14560*c_0101_3^4 - 1536*c_0101_3^2 + 64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB