Magma V2.19-8 Tue Aug 20 2013 16:18:36 on localhost [Seed = 593673745] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2783 geometric_solution 6.02053908 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 2 0 0132 1302 0132 2031 0 0 0 0 0 0 1 -1 0 0 0 0 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 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 0.800828308157 0.710776605065 0 3 3 4 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.769824834875 0.832037909299 5 3 4 0 0132 0213 0213 0132 0 0 0 0 0 0 1 -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 0 -1 1 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 0.703531540733 0.418063101092 6 1 2 1 0132 0132 0213 3012 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 0 0 0 0 0 0 0 0.558301441497 0.201867404002 5 2 1 6 1230 0213 0132 1302 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.020960769630 0.721349853976 2 4 5 5 0132 3012 1230 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 0.514196491836 0.543434873750 3 6 4 6 0132 2310 2031 3201 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 -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 0.986926784138 0.669037927448 ==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_0'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0101_6'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_6'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0101_1'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_2'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_0']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : d['c_1001_2'], 'c_1001_6' : d['c_0011_2'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : negation(d['c_0011_2']), 'c_0110_6' : d['c_0011_2'], 'c_1010_6' : negation(d['c_0011_2']), 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_1001_2'], 'c_1010_0' : d['c_0011_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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_6, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 95484290072/1018912047*c_1001_2^14 + 70916198724/339637349*c_1001_2^13 - 168098600210/1018912047*c_1001_2^12 - 2018571145163/1018912047*c_1001_2^11 - 449869554829/1018912047*c_1001_2^10 + 6514554158278/1018912047*c_1001_2^9 + 2373309555386/1018912047*c_1001_2^8 - 3771577260373/339637349*c_1001_2^7 - 1131186971665/339637349*c_1001_2^6 + 3534323888436/339637349*c_1001_2^5 + 686468522866/339637349*c_1001_2^4 - 3864739231030/1018912047*c_1001_2^3 - 1019013296642/1018912047*c_1001_2^2 + 185076033278/1018912047*c_1001_2 + 106954955684/1018912047, c_0011_0 - 1, c_0011_2 + 35419892/339637349*c_1001_2^14 + 272215658/1018912047*c_1001_2^13 - 242353766/1018912047*c_1001_2^12 - 2493955087/1018912047*c_1001_2^11 - 836062747/1018912047*c_1001_2^10 + 9754578851/1018912047*c_1001_2^9 + 1282911692/339637349*c_1001_2^8 - 19838640394/1018912047*c_1001_2^7 - 6532080617/1018912047*c_1001_2^6 + 23878995118/1018912047*c_1001_2^5 + 3664597208/1018912047*c_1001_2^4 - 12861487567/1018912047*c_1001_2^3 - 669220681/339637349*c_1001_2^2 + 534255794/339637349*c_1001_2 + 1166856751/1018912047, c_0011_4 - 1082543192/1018912047*c_1001_2^14 - 562332448/339637349*c_1001_2^13 + 3074026102/1018912047*c_1001_2^12 + 21152539280/1018912047*c_1001_2^11 - 2984949026/339637349*c_1001_2^10 - 23181494825/339637349*c_1001_2^9 + 15271455865/1018912047*c_1001_2^8 + 41958841575/339637349*c_1001_2^7 - 32505869191/1018912047*c_1001_2^6 - 37727224908/339637349*c_1001_2^5 + 30197711110/1018912047*c_1001_2^4 + 43582498222/1018912047*c_1001_2^3 - 5951148854/1018912047*c_1001_2^2 - 1790682720/339637349*c_1001_2 - 151391263/339637349, c_0101_0 + 295889408/1018912047*c_1001_2^14 + 183364596/339637349*c_1001_2^13 - 615452566/1018912047*c_1001_2^12 - 6012197222/1018912047*c_1001_2^11 + 105664763/339637349*c_1001_2^10 + 6132249591/339637349*c_1001_2^9 + 4428569507/1018912047*c_1001_2^8 - 10404719924/339637349*c_1001_2^7 - 8890732298/1018912047*c_1001_2^6 + 8425343581/339637349*c_1001_2^5 + 13374921134/1018912047*c_1001_2^4 - 8762757928/1018912047*c_1001_2^3 - 10198482895/1018912047*c_1001_2^2 + 262195484/339637349*c_1001_2 + 534255794/339637349, c_0101_1 + 546902614/1018912047*c_1001_2^14 + 1229587237/1018912047*c_1001_2^13 - 247724850/339637349*c_1001_2^12 - 3709663562/339637349*c_1001_2^11 - 2867398628/1018912047*c_1001_2^10 + 33653459605/1018912047*c_1001_2^9 + 13078839415/1018912047*c_1001_2^8 - 55477161653/1018912047*c_1001_2^7 - 15774709118/1018912047*c_1001_2^6 + 46576411841/1018912047*c_1001_2^5 + 7524536510/1018912047*c_1001_2^4 - 12890461687/1018912047*c_1001_2^3 - 1833534296/1018912047*c_1001_2^2 - 558172185/339637349*c_1001_2 + 375380363/1018912047, c_0101_6 - 857020402/1018912047*c_1001_2^14 - 648419787/339637349*c_1001_2^13 + 1265048707/1018912047*c_1001_2^12 + 17876963794/1018912047*c_1001_2^11 + 4832826536/1018912047*c_1001_2^10 - 55686627413/1018912047*c_1001_2^9 - 23988501613/1018912047*c_1001_2^8 + 31908315670/339637349*c_1001_2^7 + 11410365136/339637349*c_1001_2^6 - 29603688015/339637349*c_1001_2^5 - 7863001092/339637349*c_1001_2^4 + 36868901549/1018912047*c_1001_2^3 + 8141277196/1018912047*c_1001_2^2 - 4273797442/1018912047*c_1001_2 - 511252243/1018912047, c_1001_2^15 + 3/2*c_1001_2^14 - 3*c_1001_2^13 - 39/2*c_1001_2^12 + 19/2*c_1001_2^11 + 65*c_1001_2^10 - 18*c_1001_2^9 - 237/2*c_1001_2^8 + 37*c_1001_2^7 + 215/2*c_1001_2^6 - 71/2*c_1001_2^5 - 42*c_1001_2^4 + 9*c_1001_2^3 + 6*c_1001_2^2 - 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB