Magma V2.19-8 Tue Aug 20 2013 23:38:25 on localhost [Seed = 104882748] Type ? for help. Type -D to quit. Loading file "K14n21097__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n21097 geometric_solution 8.47107015 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 -1 0 1 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 1 0 -1 -3 0 3 0 -3 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.046974464522 0.607565956285 0 5 3 6 0132 0132 0321 0132 0 0 0 0 0 0 0 0 1 0 -1 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 3 0 -3 0 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.105642246104 1.253625667888 7 0 8 7 0132 0132 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.669274650297 0.880837087826 9 8 1 0 0132 3120 0321 0132 0 0 0 0 0 0 0 0 0 0 1 -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 0 0 0 0 0 3 -3 1 -1 0 0 -2 -1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.746070115283 0.475629231508 9 5 0 9 3201 1302 0132 0132 0 0 0 0 0 0 0 0 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 0 1 -1 2 0 0 -2 1 0 0 -1 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.022153762631 1.494422784625 7 1 6 4 1023 0132 2310 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 0.022153762631 1.494422784625 9 5 1 8 1230 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.022153762631 1.494422784625 2 5 8 2 0132 1023 3201 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.140833196731 0.440431903469 7 3 6 2 2310 3120 1230 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 1 0 -1 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 0.557637213498 0.415619954908 3 6 4 4 0132 3012 0132 2310 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 0 1 -1 0 0 2 -2 2 0 0 -2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.688186920219 0.455881089524 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0101_5']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0011_8']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_3']), 'c_1001_9' : negation(d['c_0011_6']), 'c_1001_8' : negation(d['c_1001_3']), 's_2_8' : d['1'], 's_2_9' : 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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0011_4'], 'c_1100_8' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_4'], 'c_1100_7' : negation(d['c_0011_8']), 'c_1100_6' : d['c_1001_3'], 'c_1100_1' : d['c_1001_3'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_3']), 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : negation(d['c_0011_8']), 'c_1010_2' : negation(d['c_0011_8']), 'c_1010_1' : negation(d['c_0101_5']), 'c_1010_0' : negation(d['c_0011_3']), 'c_1010_9' : negation(d['c_0101_0']), 'c_1010_8' : negation(d['c_0011_3']), 's_3_1' : d['1'], 's_3_0' : negation(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' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(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' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], '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' : negation(d['c_0101_2']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0101_5']), 'c_0110_9' : negation(d['c_0101_1']), 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0011_3'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 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_5, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 5391029646332172056893/5537201284224572942486*c_0101_5^11 + 43881922377275512358325/2768600642112286471243*c_0101_5^10 - 113534481854757632761671/2768600642112286471243*c_0101_5^9 + 682866974459112049454801/5537201284224572942486*c_0101_5^8 - 423995156304082661318344/2768600642112286471243*c_0101_5^7 + 1277804287960031320728235/5537201284224572942486*c_0101_5^6 - 310584937076090596688493/2768600642112286471243*c_0101_5^5 + 78897900915582519575083/425938560324967149422*c_0101_5^4 - 559578539304932039438557/2768600642112286471243*c_0101_5^3 + 851704839690979354797485/2768600642112286471243*c_0101_5^2 - 575189058430068233943915/2768600642112286471243*c_0101_5 - 899392261141491758981800/2768600642112286471243, c_0011_0 - 1, c_0011_3 + 175876423282142/12410074014479551*c_0101_5^11 - 2887391268670832/12410074014479551*c_0101_5^10 + 7708735242844507/12410074014479551*c_0101_5^9 - 21840616313146238/12410074014479551*c_0101_5^8 + 28009809122063974/12410074014479551*c_0101_5^7 - 39904061761134218/12410074014479551*c_0101_5^6 + 21738481550799815/12410074014479551*c_0101_5^5 - 34498345252556444/12410074014479551*c_0101_5^4 + 38971457207897312/12410074014479551*c_0101_5^3 - 55655601043979672/12410074014479551*c_0101_5^2 + 24890362982633807/12410074014479551*c_0101_5 + 37476176976475316/12410074014479551, c_0011_4 + 20917788368945/12410074014479551*c_0101_5^11 - 677072060807767/24820148028959102*c_0101_5^10 + 899118877621570/12410074014479551*c_0101_5^9 - 6739871831324749/24820148028959102*c_0101_5^8 + 4773632421481734/12410074014479551*c_0101_5^7 - 18037718592013901/24820148028959102*c_0101_5^6 + 13086686931316457/24820148028959102*c_0101_5^5 - 10668963124596028/12410074014479551*c_0101_5^4 + 8628710294815220/12410074014479551*c_0101_5^3 - 23970172743762743/24820148028959102*c_0101_5^2 + 8760445038593926/12410074014479551*c_0101_5 + 2648579081051339/12410074014479551, c_0011_6 + 154439825314647/24820148028959102*c_0101_5^11 - 1326468289375858/12410074014479551*c_0101_5^10 + 8700731587586781/24820148028959102*c_0101_5^9 - 12120049320181573/12410074014479551*c_0101_5^8 + 37233224925747541/24820148028959102*c_0101_5^7 - 51053412106685651/24820148028959102*c_0101_5^6 + 19977649285813336/12410074014479551*c_0101_5^5 - 18868212601653830/12410074014479551*c_0101_5^4 + 53414982784869895/24820148028959102*c_0101_5^3 - 28337364306648384/12410074014479551*c_0101_5^2 + 33082690676677709/12410074014479551*c_0101_5 + 25780041726292397/12410074014479551, c_0011_8 + 77341291514756/12410074014479551*c_0101_5^11 - 1285920375073438/12410074014479551*c_0101_5^10 + 3649530724145984/12410074014479551*c_0101_5^9 - 10220038088821160/12410074014479551*c_0101_5^8 + 14197696815957150/12410074014479551*c_0101_5^7 - 19864093368161126/12410074014479551*c_0101_5^6 + 14786862504534592/12410074014479551*c_0101_5^5 - 17888511201750510/12410074014479551*c_0101_5^4 + 27873985936095505/12410074014479551*c_0101_5^3 - 25519095787888928/12410074014479551*c_0101_5^2 + 27337089211020212/12410074014479551*c_0101_5 + 24154434764227150/12410074014479551, c_0101_0 - 20917788368945/12410074014479551*c_0101_5^11 + 677072060807767/24820148028959102*c_0101_5^10 - 899118877621570/12410074014479551*c_0101_5^9 + 6739871831324749/24820148028959102*c_0101_5^8 - 4773632421481734/12410074014479551*c_0101_5^7 + 18037718592013901/24820148028959102*c_0101_5^6 - 13086686931316457/24820148028959102*c_0101_5^5 + 10668963124596028/12410074014479551*c_0101_5^4 - 8628710294815220/12410074014479551*c_0101_5^3 + 23970172743762743/24820148028959102*c_0101_5^2 - 8760445038593926/12410074014479551*c_0101_5 - 2648579081051339/12410074014479551, c_0101_1 - 3727834030140/288606372429757*c_0101_5^11 + 60352162578640/288606372429757*c_0101_5^10 - 299310727548767/577212744859514*c_0101_5^9 + 429380495109918/288606372429757*c_0101_5^8 - 1008139745022773/577212744859514*c_0101_5^7 + 737319030500126/288606372429757*c_0101_5^6 - 613993228585961/577212744859514*c_0101_5^5 + 1199811350845593/577212744859514*c_0101_5^4 - 737582412956828/288606372429757*c_0101_5^3 + 998766341798599/288606372429757*c_0101_5^2 - 1116561893809675/577212744859514*c_0101_5 - 1095432494422422/288606372429757, c_0101_2 + 36046572197334/12410074014479551*c_0101_5^11 - 565393396246032/12410074014479551*c_0101_5^10 + 1202923415273560/12410074014479551*c_0101_5^9 - 4155779937940702/12410074014479551*c_0101_5^8 + 3551785609363518/12410074014479551*c_0101_5^7 - 7977290504106291/12410074014479551*c_0101_5^6 - 1201511551308774/12410074014479551*c_0101_5^5 - 7074318522737087/12410074014479551*c_0101_5^4 - 3000371366705824/12410074014479551*c_0101_5^3 - 9314078429868812/12410074014479551*c_0101_5^2 - 1412877755560590/12410074014479551*c_0101_5 + 10137959404140011/12410074014479551, c_0101_5^12 - 16*c_0101_5^11 + 37*c_0101_5^10 - 106*c_0101_5^9 + 105*c_0101_5^8 - 154*c_0101_5^7 + 14*c_0101_5^6 - 128*c_0101_5^5 + 146*c_0101_5^4 - 208*c_0101_5^3 + 27*c_0101_5^2 + 372*c_0101_5 + 131, c_1001_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.290 seconds, Total memory usage: 32.09MB