Magma V2.19-8 Tue Aug 20 2013 16:17:29 on localhost [Seed = 3852761406] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1720 geometric_solution 5.43025735 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 1023 0132 0 0 0 0 0 -1 0 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 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 0.942635749954 0.454506084180 0 4 5 3 0132 0132 0132 2031 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 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 0.517221446888 0.648162375952 6 0 0 6 0132 0132 1023 3201 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 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 0 0 0 1.151369257817 0.209615824200 5 1 0 4 2310 1302 0132 0132 0 0 0 0 0 0 -1 1 -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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.517221446888 0.648162375952 4 1 3 4 3012 0132 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.517221446888 0.648162375952 5 5 3 1 1230 3012 3201 0132 0 0 0 0 0 1 0 -1 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 1 -1 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 0.247822850333 0.942599985746 2 2 6 6 0132 2310 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.436042219610 0.175499128238 ==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' : negation(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' : negation(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_0101_2'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_4']), '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_0011_5'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : 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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : d['c_0011_3'], 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_5'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0011_0'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : 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_3, c_0011_5, c_0101_0, c_0101_2, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 9*c_0101_6^5 - 14*c_0101_6^3 + 21*c_0101_6, c_0011_0 - 1, c_0011_3 + c_0101_6^4 - c_0101_6^2 + 1, c_0011_5 + c_0101_6^4 - c_0101_6^2, c_0101_0 - c_0101_6^5 + c_0101_6^3 - 2*c_0101_6, c_0101_2 - c_0101_6^4 + 2*c_0101_6^2 - 2, c_0101_4 - c_0101_6^5 + c_0101_6^3 - c_0101_6, c_0101_6^6 - 2*c_0101_6^4 + 3*c_0101_6^2 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_0, c_0101_2, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 7/20*c_0101_4*c_0101_6^2 - 13/4*c_0101_4 - 43/40*c_0101_6^3 + 409/40*c_0101_6, c_0011_0 - 1, c_0011_3 + 1/8*c_0101_4*c_0101_6^3 - 7/8*c_0101_4*c_0101_6, c_0011_5 + 1, c_0101_0 - 1/4*c_0101_6^3 + 7/4*c_0101_6, c_0101_2 + 1/4*c_0101_6^2 + 1/4, c_0101_4^2 + 1/8*c_0101_4*c_0101_6^3 - 7/8*c_0101_4*c_0101_6 - 1, c_0101_6^4 - 10*c_0101_6^2 + 5 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_0, c_0101_2, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 111889/3296*c_0101_6^13 + 743873/1648*c_0101_6^11 - 5778453/3296*c_0101_6^9 + 500977/206*c_0101_6^7 - 6098425/3296*c_0101_6^5 + 2750531/3296*c_0101_6^3 - 632643/3296*c_0101_6, c_0011_0 - 1, c_0011_3 + 127/103*c_0101_6^12 - 1712/103*c_0101_6^10 + 6850/103*c_0101_6^8 - 10071/103*c_0101_6^6 + 7862/103*c_0101_6^4 - 3839/103*c_0101_6^2 + 990/103, c_0011_5 + 127/103*c_0101_6^12 - 1712/103*c_0101_6^10 + 6850/103*c_0101_6^8 - 10071/103*c_0101_6^6 + 7862/103*c_0101_6^4 - 3839/103*c_0101_6^2 + 887/103, c_0101_0 + 72/103*c_0101_6^13 - 1016/103*c_0101_6^11 + 4482/103*c_0101_6^9 - 7965/103*c_0101_6^7 + 7209/103*c_0101_6^5 - 3586/103*c_0101_6^3 + 910/103*c_0101_6, c_0101_2 - 8/103*c_0101_6^12 + 90/103*c_0101_6^10 - 189/103*c_0101_6^8 - 351/103*c_0101_6^6 + 950/103*c_0101_6^4 - 643/103*c_0101_6^2 + 185/103, c_0101_4 + 489/206*c_0101_6^13 - 3227/103*c_0101_6^11 + 24595/206*c_0101_6^9 - 16162/103*c_0101_6^7 + 22709/206*c_0101_6^5 - 9789/206*c_0101_6^3 + 2069/206*c_0101_6, c_0101_6^14 - 14*c_0101_6^12 + 61*c_0101_6^10 - 108*c_0101_6^8 + 105*c_0101_6^6 - 63*c_0101_6^4 + 23*c_0101_6^2 - 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB