Magma V2.19-8 Tue Aug 20 2013 16:17:05 on localhost [Seed = 1410713734] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1340 geometric_solution 5.21595489 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 1 0 1 2031 0132 1302 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 -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 -1.831694610619 0.715420912443 0 0 3 2 3201 0132 0132 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 -1 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 0.663827161684 0.360281551966 3 4 1 5 1230 0132 0132 0132 0 0 0 0 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 -2 1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.796880981642 0.179395950082 4 2 5 1 3201 3012 0213 0132 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 -1 1 -1 0 1 0 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.049818328843 0.535453580681 6 2 6 3 0132 0132 3012 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 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.489237458025 1.277051942423 6 3 2 6 2310 0213 0132 2103 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 0 -1 0 0 0 0 0 -1 0 1 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.738405760801 0.682836986040 4 4 5 5 0132 1230 3201 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.269996157893 0.675067354296 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_2_0' : negation(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' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : negation(d['1']), 's_0_4' : negation(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' : d['1'], 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_5' : negation(d['c_0101_4']), 'c_1100_4' : d['c_0011_3'], 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0101_4']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0101_4']), 'c_1100_2' : negation(d['c_0101_4']), 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_2'], '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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_2']), 'c_1001_4' : negation(d['c_0011_2']), 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_2']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_2'], 'c_0110_0' : negation(d['c_0101_1']), 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0011_2']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_2'])})} 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_2, c_0011_3, c_0011_5, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 85572110478147/305630107328*c_0101_1*c_0101_4^8 - 274256994647109/76407526832*c_0101_1*c_0101_4^7 + 531416020043533/38203763416*c_0101_1*c_0101_4^6 - 233700338074997/76407526832*c_0101_1*c_0101_4^5 - 5496144146283863/152815053664*c_0101_1*c_0101_4^4 - 5157664444388039/76407526832*c_0101_1*c_0101_4^3 - 1927120539988451/76407526832*c_0101_1*c_0101_4^2 + 154233188380337/38203763416*c_0101_1*c_0101_4 - 442436734194291/305630107328*c_0101_1, c_0011_0 - 1, c_0011_2 - 5073637/59322614*c_0101_4^8 + 32713271/29661307*c_0101_4^7 - 128655854/29661307*c_0101_4^6 + 39968345/29661307*c_0101_4^5 + 308778142/29661307*c_0101_4^4 + 611839305/29661307*c_0101_4^3 + 194622378/29661307*c_0101_4^2 - 29515319/29661307*c_0101_4 + 13095377/59322614, c_0011_3 + 50055401/237290456*c_0101_1*c_0101_4^8 - 160494315/59322614*c_0101_1*c_0101_4^7 + 310897534/29661307*c_0101_1*c_0101_4^6 - 129731653/59322614*c_0101_1*c_0101_4^5 - 3302678801/118645228*c_0101_1*c_0101_4^4 - 2968112525/59322614*c_0101_1*c_0101_4^3 - 1049309337/59322614*c_0101_1*c_0101_4^2 + 146471389/29661307*c_0101_1*c_0101_4 - 221101681/237290456*c_0101_1, c_0011_5 - 13609971/237290456*c_0101_1*c_0101_4^8 + 42888289/59322614*c_0101_1*c_0101_4^7 - 79794451/29661307*c_0101_1*c_0101_4^6 - 248863/59322614*c_0101_1*c_0101_4^5 + 901660719/118645228*c_0101_1*c_0101_4^4 + 899104795/59322614*c_0101_1*c_0101_4^3 + 506818993/59322614*c_0101_1*c_0101_4^2 + 4042601/29661307*c_0101_1*c_0101_4 - 1435181/237290456*c_0101_1, c_0101_1^2 - 651855/29661307*c_0101_4^8 + 8944276/29661307*c_0101_4^7 - 40265850/29661307*c_0101_4^6 + 40678918/29661307*c_0101_4^5 + 61319237/29661307*c_0101_4^4 + 80068462/29661307*c_0101_4^3 - 34522435/29661307*c_0101_4^2 + 21215687/29661307*c_0101_4 - 12104392/29661307, c_0101_2 + 651855/29661307*c_0101_4^8 - 8944276/29661307*c_0101_4^7 + 40265850/29661307*c_0101_4^6 - 40678918/29661307*c_0101_4^5 - 61319237/29661307*c_0101_4^4 - 80068462/29661307*c_0101_4^3 + 34522435/29661307*c_0101_4^2 - 21215687/29661307*c_0101_4 - 17556915/29661307, c_0101_4^9 - 13*c_0101_4^8 + 52*c_0101_4^7 - 20*c_0101_4^6 - 126*c_0101_4^5 - 218*c_0101_4^4 - 48*c_0101_4^3 + 28*c_0101_4^2 - 9*c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB