Magma V2.19-8 Tue Aug 20 2013 23:29:51 on localhost [Seed = 2681862600] Type ? for help. Type -D to quit. Loading file "K9a33__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K9a33 geometric_solution 8.01681557 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 9 1 2 3 4 0132 0132 0132 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 1 0 -1 -15 0 15 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 0.833806999307 0.781519708080 0 2 6 5 0132 0321 0132 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 15 0 -15 0 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.649352574065 0.436095117684 6 0 6 1 2310 0132 3012 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.748934151760 1.090151117506 4 7 8 0 3120 0132 0132 0132 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 0 0 0 0 0 0 0 16 0 -1 -15 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.160748590496 0.570142108410 5 8 0 3 0132 3201 0132 3120 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 0 0 0 0 0 1 -1 16 0 0 -16 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.318250251981 0.713055860969 4 8 1 6 0132 3012 0132 3120 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 0 0 0 0 0 0 0 -16 0 0 16 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.833806999307 0.781519708080 5 2 2 1 3120 1230 3201 0132 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 0 0 0 0 0 0 0 -16 0 1 15 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.571874162435 0.623181436121 8 3 7 7 1230 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.288105006175 2.206544528873 5 7 4 3 1230 3012 2310 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 -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 0.815278193254 0.553855999261 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0011_8']), 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_7' : negation(d['c_0011_8']), 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_8']), 'c_1001_3' : negation(d['c_0101_7']), 'c_1001_2' : negation(d['c_0011_6']), 'c_1001_8' : d['c_0011_3'], 's_2_8' : 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' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_0_8' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : 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_8' : d['c_0011_4'], 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : d['c_0011_4'], 'c_1100_7' : d['c_0101_7'], 'c_1100_6' : d['c_0011_0'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0101_2'], 'c_1010_7' : negation(d['c_0101_7']), 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_0011_8']), 'c_1010_2' : negation(d['c_0011_8']), 'c_1010_1' : negation(d['c_0011_8']), 'c_1010_0' : negation(d['c_0011_6']), 'c_1010_8' : negation(d['c_0101_7']), 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_8' : d['1'], 's_1_7' : 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_1_8' : d['1'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(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' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_8' : d['c_0011_6'], 'c_0110_8' : negation(d['c_0011_4']), '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_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0011_8'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_2, c_0101_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 177153576663613/32659675079227*c_0101_7^14 + 469666916458535/65319350158454*c_0101_7^13 - 693737964122669/65319350158454*c_0101_7^12 - 3986433071077809/32659675079227*c_0101_7^11 - 4145272415642759/32659675079227*c_0101_7^10 + 5114141152877161/9331335736922*c_0101_7^9 + 24830183580515786/32659675079227*c_0101_7^8 - 15989762472566109/9331335736922*c_0101_7^7 + 18475305498087679/65319350158454*c_0101_7^6 - 1141973791075543/65319350158454*c_0101_7^5 + 26355148478818395/65319350158454*c_0101_7^4 - 950391008986744/32659675079227*c_0101_7^3 - 128261429636775/4665667868461*c_0101_7^2 - 2442644334227735/65319350158454*c_0101_7 - 243013950367337/65319350158454, c_0011_0 - 1, c_0011_3 + 10128404475/15578189878*c_0101_7^14 + 6405299610/7789094939*c_0101_7^13 - 11851769632/7789094939*c_0101_7^12 - 232364331855/15578189878*c_0101_7^11 - 112520512927/7789094939*c_0101_7^10 + 1092233624399/15578189878*c_0101_7^9 + 723731284336/7789094939*c_0101_7^8 - 3455204353735/15578189878*c_0101_7^7 + 221223470472/7789094939*c_0101_7^6 + 605016233347/15578189878*c_0101_7^5 + 131115486795/15578189878*c_0101_7^4 + 12404772857/7789094939*c_0101_7^3 - 40287972925/7789094939*c_0101_7^2 + 21850688660/7789094939*c_0101_7 - 301983365/15578189878, c_0011_4 - 3821009875/15578189878*c_0101_7^14 - 7647942965/15578189878*c_0101_7^13 + 7155506661/15578189878*c_0101_7^12 + 50637755525/7789094939*c_0101_7^11 + 159141030337/15578189878*c_0101_7^10 - 379014447469/15578189878*c_0101_7^9 - 489815168836/7789094939*c_0101_7^8 + 842889709981/15578189878*c_0101_7^7 + 581367504117/7789094939*c_0101_7^6 - 50900300930/7789094939*c_0101_7^5 - 453674076385/15578189878*c_0101_7^4 - 126731153859/7789094939*c_0101_7^3 + 13344002703/7789094939*c_0101_7^2 + 32927037398/7789094939*c_0101_7 + 9848669843/7789094939, c_0011_6 + 1090507361/15578189878*c_0101_7^14 + 7055092223/15578189878*c_0101_7^13 + 8085878989/15578189878*c_0101_7^12 - 32254291133/15578189878*c_0101_7^11 - 78774039332/7789094939*c_0101_7^10 - 41710654221/7789094939*c_0101_7^9 + 329892315363/7789094939*c_0101_7^8 + 360442395670/7789094939*c_0101_7^7 - 1366752472647/15578189878*c_0101_7^6 - 285263552884/7789094939*c_0101_7^5 + 218041038535/7789094939*c_0101_7^4 + 102606301772/7789094939*c_0101_7^3 + 21730433275/7789094939*c_0101_7^2 - 40940183905/15578189878*c_0101_7 - 10448568835/7789094939, c_0011_8 + 2014862953/15578189878*c_0101_7^14 + 1666983697/15578189878*c_0101_7^13 - 3615413154/7789094939*c_0101_7^12 - 48205521007/15578189878*c_0101_7^11 - 27864174213/15578189878*c_0101_7^10 + 131713478940/7789094939*c_0101_7^9 + 133375091985/7789094939*c_0101_7^8 - 422013723961/7789094939*c_0101_7^7 + 142283052347/15578189878*c_0101_7^6 + 81855286447/7789094939*c_0101_7^5 + 36319325155/15578189878*c_0101_7^4 - 3992777611/15578189878*c_0101_7^3 - 20683352121/15578189878*c_0101_7^2 + 15452115294/7789094939*c_0101_7 + 134093707/15578189878, c_0101_0 + 1090507361/15578189878*c_0101_7^14 + 7055092223/15578189878*c_0101_7^13 + 8085878989/15578189878*c_0101_7^12 - 32254291133/15578189878*c_0101_7^11 - 78774039332/7789094939*c_0101_7^10 - 41710654221/7789094939*c_0101_7^9 + 329892315363/7789094939*c_0101_7^8 + 360442395670/7789094939*c_0101_7^7 - 1366752472647/15578189878*c_0101_7^6 - 285263552884/7789094939*c_0101_7^5 + 218041038535/7789094939*c_0101_7^4 + 102606301772/7789094939*c_0101_7^3 + 21730433275/7789094939*c_0101_7^2 - 40940183905/15578189878*c_0101_7 - 10448568835/7789094939, c_0101_1 - 2014862953/15578189878*c_0101_7^14 - 1666983697/15578189878*c_0101_7^13 + 3615413154/7789094939*c_0101_7^12 + 48205521007/15578189878*c_0101_7^11 + 27864174213/15578189878*c_0101_7^10 - 131713478940/7789094939*c_0101_7^9 - 133375091985/7789094939*c_0101_7^8 + 422013723961/7789094939*c_0101_7^7 - 142283052347/15578189878*c_0101_7^6 - 81855286447/7789094939*c_0101_7^5 - 36319325155/15578189878*c_0101_7^4 + 3992777611/15578189878*c_0101_7^3 + 20683352121/15578189878*c_0101_7^2 - 15452115294/7789094939*c_0101_7 - 134093707/15578189878, c_0101_2 - 260168291/7789094939*c_0101_7^14 - 386242875/15578189878*c_0101_7^13 - 159879750/7789094939*c_0101_7^12 + 4949238284/7789094939*c_0101_7^11 + 12472056359/15578189878*c_0101_7^10 - 16900704727/15578189878*c_0101_7^9 - 10996616577/7789094939*c_0101_7^8 - 36701414545/15578189878*c_0101_7^7 - 358774518377/15578189878*c_0101_7^6 + 793977581603/15578189878*c_0101_7^5 - 70976018460/7789094939*c_0101_7^4 - 153577816407/15578189878*c_0101_7^3 - 24920035089/15578189878*c_0101_7^2 + 580385759/7789094939*c_0101_7 + 9754292625/7789094939, c_0101_7^15 + c_0101_7^14 - 3*c_0101_7^13 - 23*c_0101_7^12 - 16*c_0101_7^11 + 121*c_0101_7^10 + 127*c_0101_7^9 - 403*c_0101_7^8 + 73*c_0101_7^7 + 115*c_0101_7^6 + 29*c_0101_7^5 - 12*c_0101_7^4 - 25*c_0101_7^3 - c_0101_7^2 + 2*c_0101_7 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB