Magma V2.19-8 Tue Aug 20 2013 16:19:16 on localhost [Seed = 1983376249] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3391 geometric_solution 6.55851673 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 -1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.334294946679 0.310235796875 2 0 3 0 0132 2310 0132 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 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.058512872483 1.181287039192 1 4 5 6 0132 0132 0132 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 -1 1 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 0.265903968975 1.012044300778 6 5 4 1 1023 3201 3201 0132 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 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 0.265903968975 1.012044300778 3 2 4 4 2310 0132 1230 3012 0 0 0 0 0 -1 1 0 0 0 1 -1 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 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 0.268246866615 0.749390418562 5 5 3 2 1302 2031 2310 0132 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 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 0.309846970133 0.800231118375 6 3 2 6 3201 1023 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 0.347690460513 0.971289433794 ==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_0011_3'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0101_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], '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' : negation(d['c_0101_0']), 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0011_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : negation(d['c_0101_1']), 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], '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_0011_5, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 38 Groebner basis: [ t + 402361261742268331/24078630261508537*c_0101_0*c_0101_3^18 + 2226434789359221937/24078630261508537*c_0101_0*c_0101_3^17 - 502437139555894997/24078630261508537*c_0101_0*c_0101_3^16 - 13755471856792546806/24078630261508537*c_0101_0*c_0101_3^15 + 1249699790993476192/2188966387409867*c_0101_0*c_0101_3^14 + 57341281920518243575/24078630261508537*c_0101_0*c_0101_3^13 - 8809452974777500194/2188966387409867*c_0101_0*c_0101_3^12 - 111926587326402450450/24078630261508537*c_0101_0*c_0101_3^11 + 227715123182129742916/24078630261508537*c_0101_0*c_0101_3^10 + 66219856864084397115/24078630261508537*c_0101_0*c_0101_3^9 - 231300240809833257927/24078630261508537*c_0101_0*c_0101_3^8 - 36160631069996912838/24078630261508537*c_0101_0*c_0101_3^7 + 14043826277246172839/1852202327808349*c_0101_0*c_0101_3^6 + 15993176302031617693/24078630261508537*c_0101_0*c_0101_3^5 - 110608898803736437517/24078630261508537*c_0101_0*c_0101_3^4 + 19682507748925836785/24078630261508537*c_0101_0*c_0101_3^3 + 28465341362362157524/24078630261508537*c_0101_0*c_0101_3^2 - 3822601768715292708/24078630261508537*c_0101_0*c_0101_3 - 4467629158185127725/24078630261508537*c_0101_0, c_0011_0 - 1, c_0011_1 + 421430778226408/168382029800759*c_0101_3^18 + 1706611392014742/168382029800759*c_0101_3^17 - 3584174886358057/168382029800759*c_0101_3^16 - 11413752223277340/168382029800759*c_0101_3^15 + 34884458890616381/168382029800759*c_0101_3^14 + 23596918931825179/168382029800759*c_0101_3^13 - 174160013808770374/168382029800759*c_0101_3^12 + 99120838297316215/168382029800759*c_0101_3^11 + 290414580895894009/168382029800759*c_0101_3^10 - 415515587867063903/168382029800759*c_0101_3^9 + 5999493977626199/168382029800759*c_0101_3^8 + 334613935958272254/168382029800759*c_0101_3^7 - 193844174131346492/168382029800759*c_0101_3^6 - 48786136230766717/168382029800759*c_0101_3^5 + 67673067849619208/168382029800759*c_0101_3^4 + 1768491559985123/168382029800759*c_0101_3^3 - 13415253090634177/168382029800759*c_0101_3^2 + 308962562817041/168382029800759*c_0101_3 + 936432362551138/168382029800759, c_0011_3 - 959734517858224/168382029800759*c_0101_0*c_0101_3^18 - 3660293270247812/168382029800759*c_0101_0*c_0101_3^17 + 9214943968216864/168382029800759*c_0101_0*c_0101_3^16 + 24689201418588767/168382029800759*c_0101_0*c_0101_3^15 - 86453241237092786/168382029800759*c_0101_0*c_0101_3^14 - 39286775232334895/168382029800759*c_0101_0*c_0101_3^13 + 418592563994248728/168382029800759*c_0101_0*c_0101_3^12 - 306049699778105863/168382029800759*c_0101_0*c_0101_3^11 - 659502699410219771/168382029800759*c_0101_0*c_0101_3^10 + 1105611458229628901/168382029800759*c_0101_0*c_0101_3^9 - 132400534649291052/168382029800759*c_0101_0*c_0101_3^8 - 838407707126019885/168382029800759*c_0101_0*c_0101_3^7 + 565905940514689555/168382029800759*c_0101_0*c_0101_3^6 + 93356716728510513/168382029800759*c_0101_0*c_0101_3^5 - 189657249569353513/168382029800759*c_0101_0*c_0101_3^4 + 6279948461190432/168382029800759*c_0101_0*c_0101_3^3 + 38711413227520082/168382029800759*c_0101_0*c_0101_3^2 - 4025227404522037/168382029800759*c_0101_0*c_0101_3 - 3056843496929881/168382029800759*c_0101_0, c_0011_5 + 227142139484499/168382029800759*c_0101_0*c_0101_3^18 + 783435016310914/168382029800759*c_0101_0*c_0101_3^17 - 2560327042120678/168382029800759*c_0101_0*c_0101_3^16 - 5326131723879458/168382029800759*c_0101_0*c_0101_3^15 + 23036682031746068/168382029800759*c_0101_0*c_0101_3^14 + 3699423857005081/168382029800759*c_0101_0*c_0101_3^13 - 107089838565791876/168382029800759*c_0101_0*c_0101_3^12 + 103441607232473308/168382029800759*c_0101_0*c_0101_3^11 + 154181752873780530/168382029800759*c_0101_0*c_0101_3^10 - 325229320421193227/168382029800759*c_0101_0*c_0101_3^9 + 80568268497339988/168382029800759*c_0101_0*c_0101_3^8 + 234117657052883130/168382029800759*c_0101_0*c_0101_3^7 - 190574548708712748/168382029800759*c_0101_0*c_0101_3^6 - 18780737058583973/168382029800759*c_0101_0*c_0101_3^5 + 66288897219610519/168382029800759*c_0101_0*c_0101_3^4 - 5608051151774600/168382029800759*c_0101_0*c_0101_3^3 - 14662556722174288/168382029800759*c_0101_0*c_0101_3^2 + 2081393389061785/168382029800759*c_0101_0*c_0101_3 + 1436760061692223/168382029800759*c_0101_0, c_0101_0^2 + 421430778226408/168382029800759*c_0101_3^18 + 1706611392014742/168382029800759*c_0101_3^17 - 3584174886358057/168382029800759*c_0101_3^16 - 11413752223277340/168382029800759*c_0101_3^15 + 34884458890616381/168382029800759*c_0101_3^14 + 23596918931825179/168382029800759*c_0101_3^13 - 174160013808770374/168382029800759*c_0101_3^12 + 99120838297316215/168382029800759*c_0101_3^11 + 290414580895894009/168382029800759*c_0101_3^10 - 415515587867063903/168382029800759*c_0101_3^9 + 5999493977626199/168382029800759*c_0101_3^8 + 334613935958272254/168382029800759*c_0101_3^7 - 193844174131346492/168382029800759*c_0101_3^6 - 48786136230766717/168382029800759*c_0101_3^5 + 67673067849619208/168382029800759*c_0101_3^4 + 1768491559985123/168382029800759*c_0101_3^3 - 13415253090634177/168382029800759*c_0101_3^2 + 308962562817041/168382029800759*c_0101_3 + 768050332750379/168382029800759, c_0101_1 - 730178502175749/168382029800759*c_0101_3^18 - 2749565773346845/168382029800759*c_0101_3^17 + 7187866045792222/168382029800759*c_0101_3^16 + 18668387578049056/168382029800759*c_0101_3^15 - 66799894830943431/168382029800759*c_0101_3^14 - 28122296865941470/168382029800759*c_0101_3^13 + 321756969576634280/168382029800759*c_0101_3^12 - 242973543669667443/168382029800759*c_0101_3^11 - 502227791862785198/168382029800759*c_0101_3^10 + 858389329299653483/168382029800759*c_0101_3^9 - 116890676587633243/168382029800759*c_0101_3^8 - 637612496046299377/168382029800759*c_0101_3^7 + 446307841091438803/168382029800759*c_0101_3^6 + 57620628497158883/168382029800759*c_0101_3^5 - 144768499188643371/168382029800759*c_0101_3^4 + 10724269809382985/168382029800759*c_0101_3^3 + 27859277867312424/168382029800759*c_0101_3^2 - 3776493664934283/168382029800759*c_0101_3 - 2346626380219259/168382029800759, c_0101_3^19 + 4*c_0101_3^18 - 9*c_0101_3^17 - 28*c_0101_3^16 + 86*c_0101_3^15 + 61*c_0101_3^14 - 436*c_0101_3^13 + 228*c_0101_3^12 + 787*c_0101_3^11 - 1030*c_0101_3^10 - 155*c_0101_3^9 + 967*c_0101_3^8 - 394*c_0101_3^7 - 274*c_0101_3^6 + 193*c_0101_3^5 + 48*c_0101_3^4 - 47*c_0101_3^3 - 7*c_0101_3^2 + 5*c_0101_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB