Magma V2.19-8 Tue Aug 20 2013 16:17:02 on localhost [Seed = 1949690023] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1288 geometric_solution 5.18325433 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 2 1 1 0132 0132 3120 2103 0 1 0 0 0 0 1 -1 -1 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 1 1 -2 -1 0 0 1 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.238240385682 0.689929428964 0 3 0 0 0132 0132 3120 2103 0 1 0 0 0 0 0 0 1 0 -1 0 0 -1 0 1 1 0 -1 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 -1 0 2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.238240385682 0.689929428964 3 0 3 4 0132 0132 1023 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 -1 1 0 -1 0 1 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 -0.447180521312 1.295007145113 2 1 2 4 0132 0132 1023 2310 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 -1 0 1 0 -1 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 -0.447180521312 1.295007145113 3 5 2 5 3201 0132 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 0.746507605008 0.981194721925 4 4 6 6 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.282010712841 0.208129808263 6 5 5 6 3201 3201 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 -1.604477835612 0.527961515108 ==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' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : 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' : negation(d['1']), 's_2_6' : negation(d['1']), 's_1_6' : negation(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_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0101_0']), 'c_1100_0' : negation(d['c_0101_0']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_2']), 'c_0101_3' : negation(d['c_0101_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], '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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : negation(d['c_0101_5']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0101_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0101_5']), 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : negation(d['c_0101_5']), 'c_1010_1' : d['c_0101_2'], '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_4, c_0011_6, c_0101_0, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 10832374929952/2937370225*c_0101_6^9 - 7405401048592/587474045*c_0101_6^8 + 24698124450064/2937370225*c_0101_6^7 + 47259483806368/587474045*c_0101_6^6 + 327943244609746/2937370225*c_0101_6^5 + 160965384323849/2937370225*c_0101_6^4 + 64737620791541/2937370225*c_0101_6^3 + 49088300681084/2937370225*c_0101_6^2 + 644120177216/117494809*c_0101_6 + 4114053513151/2937370225, c_0011_0 - 1, c_0011_4 - 1170894816/587474045*c_0101_6^9 - 943856688/117494809*c_0101_6^8 + 683285792/587474045*c_0101_6^7 + 5703479632/117494809*c_0101_6^6 + 49371229478/587474045*c_0101_6^5 + 30095246127/587474045*c_0101_6^4 + 8167835918/587474045*c_0101_6^3 + 6469563452/587474045*c_0101_6^2 + 586633087/117494809*c_0101_6 + 411706248/587474045, c_0011_6 + 99117536/587474045*c_0101_6^9 + 178123568/117494809*c_0101_6^8 + 1377213488/587474045*c_0101_6^7 - 844255136/117494809*c_0101_6^6 - 14015093078/587474045*c_0101_6^5 - 12616577387/587474045*c_0101_6^4 - 2929803763/587474045*c_0101_6^3 - 2543027072/587474045*c_0101_6^2 - 340370334/117494809*c_0101_6 - 222887938/587474045, c_0101_0 - 1, c_0101_2 + 439296032/587474045*c_0101_6^9 + 325485648/117494809*c_0101_6^8 - 467870464/587474045*c_0101_6^7 - 1939268928/117494809*c_0101_6^6 - 16742900506/587474045*c_0101_6^5 - 11797059269/587474045*c_0101_6^4 - 4388508556/587474045*c_0101_6^3 - 1396247104/587474045*c_0101_6^2 - 287312577/117494809*c_0101_6 - 546610866/587474045, c_0101_5 + 439296032/587474045*c_0101_6^9 + 325485648/117494809*c_0101_6^8 - 467870464/587474045*c_0101_6^7 - 1939268928/117494809*c_0101_6^6 - 16742900506/587474045*c_0101_6^5 - 11797059269/587474045*c_0101_6^4 - 4388508556/587474045*c_0101_6^3 - 1396247104/587474045*c_0101_6^2 - 287312577/117494809*c_0101_6 + 40863179/587474045, c_0101_6^10 + 7/2*c_0101_6^9 - 2*c_0101_6^8 - 22*c_0101_6^7 - 513/16*c_0101_6^6 - 555/32*c_0101_6^5 - 115/16*c_0101_6^4 - 5*c_0101_6^3 - 59/32*c_0101_6^2 - 1/2*c_0101_6 - 1/32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB