Magma V2.19-8 Tue Aug 20 2013 18:22:35 on localhost [Seed = 1562174242] Type ? for help. Type -D to quit. Loading file "11_436__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_436 geometric_solution 13.07449710 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 14 1 2 3 4 0132 0132 0132 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 1 0 -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 0.645229114954 0.549043807615 0 5 7 6 0132 0132 0132 0132 0 0 0 0 0 0 0 0 -1 0 0 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 -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 0.810042164232 1.080283014232 8 0 9 6 0132 0132 0132 2031 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 -1 0 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 0.565610966674 0.716008822115 10 11 4 0 0132 0132 0213 0132 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 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 0.628794270431 1.065127750067 10 3 0 12 3120 0213 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 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.480030494988 0.420347205099 13 1 8 9 0132 0132 1023 1302 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 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 0.555698121901 0.592526899580 13 2 1 8 1230 1302 0132 0321 0 0 0 0 0 0 0 0 0 0 -1 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 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.384903086624 0.769709207553 10 8 13 1 2103 0321 1230 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 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 0.384903086624 0.769709207553 2 6 5 7 0132 0321 1023 0321 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 1 -1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.633600273513 0.792863618441 12 11 5 2 1230 0321 2031 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 0.645229114954 0.549043807615 3 12 7 4 0132 3012 2103 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.048509513022 0.828779740194 12 3 13 9 3012 0132 3120 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.835679026577 0.918331541388 10 9 4 11 1230 3012 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.659475875748 0.627584419044 5 6 11 7 0132 3012 3120 3012 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 -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 0.633600273513 0.792863618441 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_0']), 'c_1001_11' : d['c_0011_6'], 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_13' : negation(d['c_0011_6']), 'c_1001_12' : negation(d['c_0011_9']), 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_11'], 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_13']), 'c_1001_8' : d['c_0101_5'], 'c_1010_13' : negation(d['c_0101_0']), 'c_1010_12' : d['c_0101_11'], 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : negation(d['c_0011_4']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_3_13' : d['1'], 's_0_13' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_0'], '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_2_7' : d['1'], 's_2_12' : d['1'], 's_2_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_9' : negation(d['c_1001_1']), 'c_1100_8' : d['c_0101_11'], 'c_0011_13' : negation(d['c_0011_0']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_11']), 'c_1100_4' : negation(d['c_0011_9']), 'c_1100_7' : d['c_0101_5'], 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : negation(d['c_0011_9']), 'c_1100_3' : negation(d['c_0011_9']), 'c_1100_2' : negation(d['c_1001_1']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_13']), 'c_1100_10' : negation(d['c_0101_1']), 'c_1100_13' : negation(d['c_0101_11']), 's_3_10' : d['1'], 's_0_12' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_9']), 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_1001_1'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_9']), 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_12']), '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_9']), 'c_0110_10' : d['c_0011_4'], 'c_0110_13' : d['c_0101_5'], 'c_0110_12' : d['c_0011_10'], 'c_0101_12' : d['c_0011_4'], 'c_0110_0' : d['c_0101_1'], 's_3_12' : d['1'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0011_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_11']), 'c_0101_8' : d['c_0101_8'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_12'], 'c_0110_8' : d['c_0011_12'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0101_13'], 'c_0110_4' : d['c_0011_4'], 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10'], 'c_0101_13' : d['c_0101_13']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_4, c_0011_6, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_13, c_0101_5, c_0101_8, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 16*c_1001_2^2 + 7*c_1001_2 - 28, c_0011_0 - 1, c_0011_10 - c_1001_2^2 - 2, c_0011_12 + c_1001_2^2 + 1, c_0011_4 + 1, c_0011_6 + c_1001_2^2 + 1, c_0011_9 - c_1001_2^2 + c_1001_2 - 1, c_0101_0 + c_1001_2^2 - c_1001_2 + 1, c_0101_1 - c_1001_2^2 + c_1001_2, c_0101_11 - c_1001_2^2 + c_1001_2 - 1, c_0101_13 + c_1001_2^2 - c_1001_2, c_0101_5 - c_1001_2 + 1, c_0101_8 - c_1001_2^2 - 1, c_1001_1 - 1, c_1001_2^3 - c_1001_2^2 + 2*c_1001_2 - 1 ], Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_4, c_0011_6, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_13, c_0101_5, c_0101_8, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 953853/13*c_1001_2^4 - 231729*c_1001_2^3 - 8107456/13*c_1001_2^2 - 7959728/13*c_1001_2 - 6028649/13, c_0011_0 - 1, c_0011_10 + 1/13*c_1001_2^4 - 5/13*c_1001_2^2 - 4/13*c_1001_2 - 9/13, c_0011_12 - 1/13*c_1001_2^4 + 5/13*c_1001_2^2 + 17/13*c_1001_2 + 9/13, c_0011_4 - 2/13*c_1001_2^4 - c_1001_2^3 - 29/13*c_1001_2^2 - 31/13*c_1001_2 + 5/13, c_0011_6 - 1/13*c_1001_2^4 + 5/13*c_1001_2^2 + 17/13*c_1001_2 + 9/13, c_0011_9 - 5/13*c_1001_2^4 - c_1001_2^3 - 27/13*c_1001_2^2 - 19/13*c_1001_2 + 6/13, c_0101_0 - 2/13*c_1001_2^4 - 3/13*c_1001_2^2 + 8/13*c_1001_2 - 8/13, c_0101_1 - 6/13*c_1001_2^4 - c_1001_2^3 - 35/13*c_1001_2^2 - 15/13*c_1001_2 + 2/13, c_0101_11 + 2/13*c_1001_2^4 + 3/13*c_1001_2^2 - 8/13*c_1001_2 + 8/13, c_0101_13 + 6/13*c_1001_2^4 + c_1001_2^3 + 35/13*c_1001_2^2 + 15/13*c_1001_2 - 2/13, c_0101_5 + 2/13*c_1001_2^4 + 3/13*c_1001_2^2 - 21/13*c_1001_2 - 5/13, c_0101_8 + 6/13*c_1001_2^4 + c_1001_2^3 + 35/13*c_1001_2^2 + 15/13*c_1001_2 + 11/13, c_1001_1 - 1, c_1001_2^5 + 3*c_1001_2^4 + 8*c_1001_2^3 + 7*c_1001_2^2 + 5*c_1001_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 62.820 Total time: 63.030 seconds, Total memory usage: 293.94MB