Magma V2.19-8 Tue Aug 20 2013 16:17:35 on localhost [Seed = 3347471134] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1824 geometric_solution 5.48312880 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 0132 2310 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 0 0 0 0 0 0 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 0.391546627214 0.593293013941 0 2 3 4 0132 2031 3012 0132 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 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.410335727556 0.687125121814 1 0 4 3 1302 0132 3201 3012 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.410335727556 0.687125121814 0 1 2 0 3201 1230 1230 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.177866090637 1.033162173299 2 5 1 5 2310 0132 0132 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 0.620354360897 2.199586861587 4 4 6 6 3201 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.168085224142 0.167562426281 5 6 5 6 2310 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -3.836518928879 3.068193178242 ==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' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_6' : negation(d['c_0011_0']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_6' : negation(d['c_0011_0']), 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : 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_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 28 Groebner basis: [ t - 20221514722695393495/270507051073457225456*c_0101_6^27 + 1027439113106983299887/541014102146914450912*c_0101_6^25 - 2780275468888244651809/135253525536728612728*c_0101_6^23 + 69444832894276364163643/541014102146914450912*c_0101_6^21 - 275037302843534867653735/541014102146914450912*c_0101_6^19 + 711126932862707836411863/541014102146914450912*c_0101_6^17 - 37335080205283532900094/16906690692091076591*c_0101_6^15 + 627151350940261520669837/270507051073457225456*c_0101_6^13 - 740284664786121584722319/541014102146914450912*c_0101_6^11 + 172691245399973368664923/541014102146914450912*c_0101_6^9 + 5162580822721947385089/135253525536728612728*c_0101_6^7 - 739870758513840587747/41616469395916496224*c_0101_6^5 + 98385699139544435813/12295775048793510248*c_0101_6^3 - 1929838721643464170843/541014102146914450912*c_0101_6, c_0011_0 - 1, c_0011_3 + 34269157988963057/472914424953596548*c_0101_6^26 - 1746391005835816961/945828849907193096*c_0101_6^24 + 9522374581964731757/472914424953596548*c_0101_6^22 - 60338564207503921335/472914424953596548*c_0101_6^20 + 490528848005093382557/945828849907193096*c_0101_6^18 - 1328487841375023968059/945828849907193096*c_0101_6^16 + 2427539708838499903969/945828849907193096*c_0101_6^14 - 2983648966364861096387/945828849907193096*c_0101_6^12 + 607920191443573967329/236457212476798274*c_0101_6^10 - 648864754994448465185/472914424953596548*c_0101_6^8 + 233380281001621963017/472914424953596548*c_0101_6^6 - 9571457627689738449/72756065377476392*c_0101_6^4 + 12010149351451570639/472914424953596548*c_0101_6^2 - 400352148356209099/118228606238399137, c_0011_4 - 65975162076839/1012664721528044*c_0101_6^27 + 3511211012646069/2025329443056088*c_0101_6^25 - 40300402606961845/2025329443056088*c_0101_6^23 + 33728533200990413/253166180382011*c_0101_6^21 - 1166999371290818309/2025329443056088*c_0101_6^19 + 423985849208080438/253166180382011*c_0101_6^17 - 1676985327677246567/506332360764022*c_0101_6^15 + 2246166681954995835/506332360764022*c_0101_6^13 - 7996527675249546265/2025329443056088*c_0101_6^11 + 2299480170778686037/1012664721528044*c_0101_6^9 - 425449539572016899/506332360764022*c_0101_6^7 + 34882105827928773/155794572542776*c_0101_6^5 - 96310663812623437/2025329443056088*c_0101_6^3 + 5647129706750801/1012664721528044*c_0101_6, c_0011_6 + 20485469079469/253166180382011*c_0101_6^27 - 2155493008182677/1012664721528044*c_0101_6^25 + 48857002044913571/2025329443056088*c_0101_6^23 - 161531087010246223/1012664721528044*c_0101_6^21 + 689759899502746359/1012664721528044*c_0101_6^19 - 3958239134988896115/2025329443056088*c_0101_6^17 + 7731409822129142653/2025329443056088*c_0101_6^15 - 10240097923482442823/2025329443056088*c_0101_6^13 + 9031633899160011433/2025329443056088*c_0101_6^11 - 1291625200363836035/506332360764022*c_0101_6^9 + 956665893751020855/1012664721528044*c_0101_6^7 - 19746390406549033/77897286271388*c_0101_6^5 + 112958584223517551/2025329443056088*c_0101_6^3 - 7315329438821853/1012664721528044*c_0101_6, c_0101_0 - 18309718340910/253166180382011*c_0101_6^27 + 478833175130435/253166180382011*c_0101_6^25 - 10781796822479429/506332360764022*c_0101_6^23 + 141625963992605849/1012664721528044*c_0101_6^21 - 150102048800804194/253166180382011*c_0101_6^19 + 854729822956151319/506332360764022*c_0101_6^17 - 3311897104885417173/1012664721528044*c_0101_6^15 + 4349303290390542353/1012664721528044*c_0101_6^13 - 3801144912672756151/1012664721528044*c_0101_6^11 + 2151647246403531053/1012664721528044*c_0101_6^9 - 392895818789336753/506332360764022*c_0101_6^7 + 7895585530645523/38948643135694*c_0101_6^5 - 21519279951937401/506332360764022*c_0101_6^3 + 7144657853192177/1012664721528044*c_0101_6, c_0101_1 + 20265480972273347/472914424953596548*c_0101_6^27 - 1137974376753559819/945828849907193096*c_0101_6^25 + 6909361147815767361/472914424953596548*c_0101_6^23 - 48794976241847358115/472914424953596548*c_0101_6^21 + 444726549478670693207/945828849907193096*c_0101_6^19 - 1360352134021360085973/945828849907193096*c_0101_6^17 + 2824005262673327866635/945828849907193096*c_0101_6^15 - 3960133302114142030825/945828849907193096*c_0101_6^13 + 923948158276023248861/236457212476798274*c_0101_6^11 - 1130544487864703183705/472914424953596548*c_0101_6^9 + 462201322399936311355/472914424953596548*c_0101_6^7 - 21416632882891250483/72756065377476392*c_0101_6^5 + 31935137472073490691/472914424953596548*c_0101_6^3 - 2610858507595613985/236457212476798274*c_0101_6, c_0101_6^28 - 53/2*c_0101_6^26 + 303*c_0101_6^24 - 4047/2*c_0101_6^22 + 17485/2*c_0101_6^20 - 50899/2*c_0101_6^18 + 50632*c_0101_6^16 - 68729*c_0101_6^14 + 125541/2*c_0101_6^12 - 75683/2*c_0101_6^10 + 15138*c_0101_6^8 - 8847/2*c_0101_6^6 + 1055*c_0101_6^4 - 357/2*c_0101_6^2 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB