Magma V2.19-8 Tue Aug 20 2013 16:17:19 on localhost [Seed = 526287816] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1547 geometric_solution 5.33947334 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.473352835456 0.485689862673 0 2 3 0 3201 0132 0132 0132 0 0 0 0 0 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.819148099901 0.372244379387 4 1 3 5 0132 0132 1302 0132 0 0 0 0 0 -1 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 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 0.663013821712 0.576529003864 2 5 4 1 2031 0132 1023 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.663013821712 0.576529003864 2 4 3 4 0132 1302 1023 2031 0 0 0 0 0 0 -1 1 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 -1 1 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 0.276511456079 1.151669029122 6 3 2 6 0132 0132 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 1 -1 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 0.508322863256 0.137972420793 5 5 6 6 0132 2310 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.261982719563 0.949158046858 ==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' : d['c_0101_4'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : d['c_0011_3'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_1001_1'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0011_1'], 'c_1010_3' : d['c_1001_1'], 'c_1010_2' : d['c_1001_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_3, c_0101_0, c_0101_4, c_0101_6, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 4462045318429487666182429/196589338863903327801024*c_1001_1^17 - 12355122112852863429305107/65529779621301109267008*c_1001_1^16 + 49497100353223786710703073/196589338863903327801024*c_1001_1^15 + 8646715865228821090136753/4095611226331319329188*c_1001_1^14 - 163651883068949409682471547/32764889810650554633504*c_1001_1^13 - 1352329579248028600711456709/98294669431951663900512*c_1001_1^12 + 1641238908629268302377203499/65529779621301109267008*c_1001_1^11 + 2401479534653579592447194675/49147334715975831950256*c_1001_1^10 - 6521960477482305497735336225/98294669431951663900512*c_1001_1^9 - 3163219324872884869247942351/32764889810650554633504*c_1001_1^8 + 2470394511081430596820202475/21843259873767036422336*c_1001_1^7 + 357091321686322513180924895/3448935769542163645632*c_1001_1^6 - 24479434839017907900429150889/196589338863903327801024*c_1001_1^5 - 9852878158130753127997310431/196589338863903327801024*c_1001_1^4 + 15344385777371128520223830351/196589338863903327801024*c_1001_1^3 + 49834013231565516355903687/65529779621301109267008*c_1001_1^2 - 4057254690371208995131689985/196589338863903327801024*c_1001_1 + 43581074255987173760887925/8191222452662638658376, c_0011_0 - 1, c_0011_1 + 156188446092245695722/341300935527609944099*c_1001_1^17 - 1307705197801373879203/341300935527609944099*c_1001_1^16 + 1827212927648749899906/341300935527609944099*c_1001_1^15 + 14335294620250186228059/341300935527609944099*c_1001_1^14 - 35200900536773518653076/341300935527609944099*c_1001_1^13 - 91635069330504759141309/341300935527609944099*c_1001_1^12 + 176462478271403866104421/341300935527609944099*c_1001_1^11 + 320382336299505149725426/341300935527609944099*c_1001_1^10 - 469131877023068592933324/341300935527609944099*c_1001_1^9 - 620635349839159200472411/341300935527609944099*c_1001_1^8 + 799662126215997228760615/341300935527609944099*c_1001_1^7 + 33780127834013949953448/17963207133032102321*c_1001_1^6 - 871221804803029530023667/341300935527609944099*c_1001_1^5 - 281214529143645617540034/341300935527609944099*c_1001_1^4 + 532959929794105816146997/341300935527609944099*c_1001_1^3 - 19932488337335693833087/341300935527609944099*c_1001_1^2 - 135704258446072518551961/341300935527609944099*c_1001_1 + 37892901296542298694497/341300935527609944099, c_0011_3 - 1505308796373424907567/4095611226331319329188*c_1001_1^17 + 4167178849460461777533/1365203742110439776396*c_1001_1^16 - 16636500304372961619355/4095611226331319329188*c_1001_1^15 - 11709999825082444973620/341300935527609944099*c_1001_1^14 + 55440238463205728657175/682601871055219888198*c_1001_1^13 + 457506800812717363492093/2047805613165659664594*c_1001_1^12 - 560133057281276582368469/1365203742110439776396*c_1001_1^11 - 809756172898977276447631/1023902806582829832297*c_1001_1^10 + 2257733472762833580339301/2047805613165659664594*c_1001_1^9 + 1064270683408354763187247/682601871055219888198*c_1001_1^8 - 2610912135553216594948487/1365203742110439776396*c_1001_1^7 - 119623015839385238880605/71852828532128409284*c_1001_1^6 + 8777399994668315000252207/4095611226331319329188*c_1001_1^5 + 3194881471570312549207385/4095611226331319329188*c_1001_1^4 - 5600557450493155533521017/4095611226331319329188*c_1001_1^3 + 38444966093386172988327/1365203742110439776396*c_1001_1^2 + 1505031894736853861205071/4095611226331319329188*c_1001_1 - 35202478355911477944778/341300935527609944099, c_0101_0 - 12166806395327066455/2047805613165659664594*c_1001_1^17 - 5184107242189953785/682601871055219888198*c_1001_1^16 + 818816657685476685403/2047805613165659664594*c_1001_1^15 - 395878968285876160603/341300935527609944099*c_1001_1^14 - 1283568418067256425480/341300935527609944099*c_1001_1^13 + 15290354263771358701214/1023902806582829832297*c_1001_1^12 + 18210222115624875908703/682601871055219888198*c_1001_1^11 - 64560412850053629206749/1023902806582829832297*c_1001_1^10 - 98988820817100357860629/1023902806582829832297*c_1001_1^9 + 47960893073909151034042/341300935527609944099*c_1001_1^8 + 125800191806046204579361/682601871055219888198*c_1001_1^7 - 7087089230541944777127/35926414266064204642*c_1001_1^6 - 382547442913793693986517/2047805613165659664594*c_1001_1^5 + 354587019127707959182153/2047805613165659664594*c_1001_1^4 + 193516368736743878078677/2047805613165659664594*c_1001_1^3 - 56814875458363425897719/682601871055219888198*c_1001_1^2 - 39433171294788413388449/2047805613165659664594*c_1001_1 + 5480452438387743558348/341300935527609944099, c_0101_4 - 361525937354937068287/4095611226331319329188*c_1001_1^17 + 978936109433479659917/1365203742110439776396*c_1001_1^16 - 3594146952256814478203/4095611226331319329188*c_1001_1^15 - 2775342043383388289413/341300935527609944099*c_1001_1^14 + 12039523923528447378059/682601871055219888198*c_1001_1^13 + 110841190781889164104523/2047805613165659664594*c_1001_1^12 - 111844677350532652722449/1365203742110439776396*c_1001_1^11 - 192660860474283689058374/1023902806582829832297*c_1001_1^10 + 411589193951892069333689/2047805613165659664594*c_1001_1^9 + 245780041227023081149007/682601871055219888198*c_1001_1^8 - 442339349171084139832847/1365203742110439776396*c_1001_1^7 - 27259619083359669169073/71852828532128409284*c_1001_1^6 + 1384188848140610624338627/4095611226331319329188*c_1001_1^5 + 792448568086058401819633/4095611226331319329188*c_1001_1^4 - 800365015297124653333829/4095611226331319329188*c_1001_1^3 - 36957993747200195564521/1365203742110439776396*c_1001_1^2 + 187706421880451654853691/4095611226331319329188*c_1001_1 - 2055220550276971486274/341300935527609944099, c_0101_6 + 593188586514676109243/2047805613165659664594*c_1001_1^17 - 1668973998329537994851/682601871055219888198*c_1001_1^16 + 7229344457203294705111/2047805613165659664594*c_1001_1^15 + 9063431838934579092690/341300935527609944099*c_1001_1^14 - 23003879753160046159655/341300935527609944099*c_1001_1^13 - 171536445224785606899406/1023902806582829832297*c_1001_1^12 + 234909411322793132859747/682601871055219888198*c_1001_1^11 + 598215872449204149424049/1023902806582829832297*c_1001_1^10 - 957409514052311652721951/1023902806582829832297*c_1001_1^9 - 386455331119198733449899/341300935527609944099*c_1001_1^8 + 1106380894888984908365859/682601871055219888198*c_1001_1^7 + 41713042378834518618049/35926414266064204642*c_1001_1^6 - 3657792774592322033389427/2047805613165659664594*c_1001_1^5 - 973917517976947936597385/2047805613165659664594*c_1001_1^4 + 2260144971705077212847179/2047805613165659664594*c_1001_1^3 - 55390820970431696266987/682601871055219888198*c_1001_1^2 - 582076922130760939563179/2047805613165659664594*c_1001_1 + 29478128594105425575112/341300935527609944099, c_1001_1^18 - 9*c_1001_1^17 + 17*c_1001_1^16 + 84*c_1001_1^15 - 282*c_1001_1^14 - 442*c_1001_1^13 + 1485*c_1001_1^12 + 1328*c_1001_1^11 - 4234*c_1001_1^10 - 2058*c_1001_1^9 + 7479*c_1001_1^8 + 879*c_1001_1^7 - 7969*c_1001_1^6 + 1649*c_1001_1^5 + 4415*c_1001_1^4 - 2187*c_1001_1^3 - 769*c_1001_1^2 + 756*c_1001_1 - 144 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB