Magma V2.19-8 Tue Aug 20 2013 16:16:31 on localhost [Seed = 2631729275] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0814 geometric_solution 4.74786052 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 1023 2310 0 0 0 0 0 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2.447615463293 1.940553616180 0 1 0 1 0132 1302 1023 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.332114354825 0.057277798260 0 0 4 3 3201 0132 0132 0132 0 0 0 0 0 -1 0 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 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 0.369542886800 0.478910939119 4 5 2 4 1230 0132 0132 1302 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 -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 0.828352959683 0.635244026515 5 3 3 2 3201 3012 2031 0132 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 1 -1 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 0.828352959683 0.635244026515 6 3 6 4 0132 0132 1023 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 -1 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 1.919579102304 1.206571804038 5 6 5 6 0132 2310 1023 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.492373214955 0.454787456339 ==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' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0101_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : d['c_0101_4'], 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : d['c_0011_3'], '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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : negation(d['c_0101_4']), 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_3'])})} 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_3, c_0101_0, c_0101_1, c_0101_3, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 26764156445/960528184*c_0101_3*c_0101_5^10 - 18000809011/960528184*c_0101_3*c_0101_5^9 + 702603654117/960528184*c_0101_3*c_0101_5^8 - 64063803539/240132046*c_0101_3*c_0101_5^7 - 2935842925733/960528184*c_0101_3*c_0101_5^6 + 41900459949/87320744*c_0101_3*c_0101_5^5 - 41865548595/480264092*c_0101_3*c_0101_5^4 - 2450807954935/960528184*c_0101_3*c_0101_5^3 + 70244317461/87320744*c_0101_3*c_0101_5^2 - 549973323461/960528184*c_0101_3*c_0101_5 - 4233757719/120066023*c_0101_3, c_0011_0 - 1, c_0011_3 - 6907937/39205232*c_0101_3*c_0101_5^10 - 2612227/19602616*c_0101_3*c_0101_5^9 + 45415963/9801308*c_0101_3*c_0101_5^8 - 50043837/39205232*c_0101_3*c_0101_5^7 - 782514001/39205232*c_0101_3*c_0101_5^6 + 276042/222757*c_0101_3*c_0101_5^5 + 87047111/39205232*c_0101_3*c_0101_5^4 - 586943865/39205232*c_0101_3*c_0101_5^3 + 5765775/1782056*c_0101_3*c_0101_5^2 - 8588541/9801308*c_0101_3*c_0101_5 - 2147323/39205232*c_0101_3, c_0101_0 + 3106495/39205232*c_0101_3*c_0101_5^10 + 1385401/9801308*c_0101_3*c_0101_5^9 - 39464589/19602616*c_0101_3*c_0101_5^8 - 62130823/39205232*c_0101_3*c_0101_5^7 + 363915747/39205232*c_0101_3*c_0101_5^6 + 16567977/1782056*c_0101_3*c_0101_5^5 - 5996423/39205232*c_0101_3*c_0101_5^4 + 132865239/39205232*c_0101_3*c_0101_5^3 + 3712259/891028*c_0101_3*c_0101_5^2 + 17944107/19602616*c_0101_3*c_0101_5 - 18964373/39205232*c_0101_3, c_0101_1 - 1210709/39205232*c_0101_5^10 - 206123/2450327*c_0101_5^9 + 14250999/19602616*c_0101_5^8 + 51695385/39205232*c_0101_5^7 - 114942037/39205232*c_0101_5^6 - 11115387/1782056*c_0101_5^5 - 142390847/39205232*c_0101_5^4 - 201311601/39205232*c_0101_5^3 - 4459127/891028*c_0101_5^2 - 9191811/19602616*c_0101_5 - 30604977/39205232, c_0101_3^2 - 6564495/39205232*c_0101_5^10 - 2441419/19602616*c_0101_5^9 + 43828091/9801308*c_0101_5^8 - 45969239/39205232*c_0101_5^7 - 810105147/39205232*c_0101_5^6 + 319645/445514*c_0101_5^5 + 383402621/39205232*c_0101_5^4 - 348735939/39205232*c_0101_5^3 + 3307409/1782056*c_0101_5^2 - 1931736/2450327*c_0101_5 - 33084493/39205232, c_0101_4 + 3694773/39205232*c_0101_5^10 + 1628249/19602616*c_0101_5^9 - 23975833/9801308*c_0101_5^8 + 15896821/39205232*c_0101_5^7 + 398295569/39205232*c_0101_5^6 + 192093/445514*c_0101_5^5 + 55373961/39205232*c_0101_5^4 + 366151353/39205232*c_0101_5^3 + 311597/1782056*c_0101_5^2 + 16188519/4900654*c_0101_5 + 23990215/39205232, c_0101_5^11 + c_0101_5^10 - 26*c_0101_5^9 + c_0101_5^8 + 112*c_0101_5^7 + 19*c_0101_5^6 + c_0101_5^5 + 92*c_0101_5^4 + c_0101_5^3 + 14*c_0101_5^2 + 7*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.230 seconds, Total memory usage: 32.09MB