Magma V2.19-8 Tue Aug 20 2013 16:18:41 on localhost [Seed = 1966401657] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2849 geometric_solution 6.07392860 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 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 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 1.421196134664 0.426234984123 0 2 3 0 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 0 1 -1 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 0.882890038888 0.315660004940 4 1 3 5 0132 0132 1302 0132 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 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.746924386626 0.609156141940 2 6 4 1 2031 0132 1023 0132 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 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 0.746924386626 0.609156141940 2 5 3 6 0132 3012 1023 2103 0 0 0 0 0 0 0 0 -1 0 0 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 -1 1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.577808079534 0.589218891666 4 6 2 6 1230 0213 0132 3120 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 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 0.422110602238 0.746654365507 5 3 5 4 3120 0132 0213 2103 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 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 0.422110602238 0.746654365507 ==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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_3'], 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_5']), 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_5']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(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' : d['c_1001_1'], 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : d['c_1001_1'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0011_1'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0011_1'], 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_1001_1'], 'c_1010_2' : d['c_1001_1'], '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_4, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 383531/50616*c_0101_4*c_1001_1^7 + 868747/25308*c_0101_4*c_1001_1^6 + 326453/12654*c_0101_4*c_1001_1^5 - 816799/5624*c_0101_4*c_1001_1^4 + 8013089/50616*c_0101_4*c_1001_1^3 + 40309/152*c_0101_4*c_1001_1^2 - 641243/12654*c_0101_4*c_1001_1 - 2075603/12654*c_0101_4, c_0011_0 - 1, c_0011_1 - 2457/44992*c_1001_1^7 - 11455/44992*c_1001_1^6 - 5891/22496*c_1001_1^5 + 36507/44992*c_1001_1^4 - 29155/22496*c_1001_1^3 - 993/608*c_1001_1^2 - 11021/44992*c_1001_1 + 2137/11248, c_0011_3 + 2747/44992*c_0101_4*c_1001_1^7 + 10573/44992*c_0101_4*c_1001_1^6 + 841/22496*c_0101_4*c_1001_1^5 - 56033/44992*c_0101_4*c_1001_1^4 + 47241/22496*c_0101_4*c_1001_1^3 + 595/608*c_0101_4*c_1001_1^2 - 46697/44992*c_0101_4*c_1001_1 - 9659/11248*c_0101_4, c_0011_5 + 2747/44992*c_0101_4*c_1001_1^7 + 10573/44992*c_0101_4*c_1001_1^6 + 841/22496*c_0101_4*c_1001_1^5 - 56033/44992*c_0101_4*c_1001_1^4 + 47241/22496*c_0101_4*c_1001_1^3 + 595/608*c_0101_4*c_1001_1^2 - 46697/44992*c_0101_4*c_1001_1 - 9659/11248*c_0101_4, c_0101_0 + 9371/44992*c_1001_1^7 + 43021/44992*c_1001_1^6 + 17753/22496*c_1001_1^5 - 171265/44992*c_1001_1^4 + 97001/22496*c_1001_1^3 + 4291/608*c_1001_1^2 - 47721/44992*c_1001_1 - 35403/11248, c_0101_4^2 - 5357/44992*c_1001_1^7 - 25131/44992*c_1001_1^6 - 11631/22496*c_1001_1^5 + 96791/44992*c_1001_1^4 - 41295/22496*c_1001_1^3 - 2485/608*c_1001_1^2 - 18737/44992*c_1001_1 + 15493/11248, c_1001_1^8 + 4*c_1001_1^7 + c_1001_1^6 - 21*c_1001_1^5 + 31*c_1001_1^4 + 24*c_1001_1^3 - 25*c_1001_1^2 - 19*c_1001_1 + 12 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB