Magma V2.19-8 Tue Aug 20 2013 23:47:24 on localhost [Seed = 3187398645] Type ? for help. Type -D to quit. Loading file "L10a66__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L10a66 geometric_solution 11.11129174 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 1 0132 0132 0132 3201 1 1 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 0 0 0 1 0 -1 0 0 -1 1 1 -4 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.059600778769 0.722309941804 0 0 3 2 0132 2310 3120 3120 1 1 1 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 -3 3 0 0 0 0 0 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.355664246965 0.439231576271 1 0 5 4 3120 0132 0132 0132 1 1 1 1 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 0 1 0 0 0 0 -1 0 0 1 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.530871818165 0.935853278076 4 5 1 0 0132 0132 3120 0132 1 1 1 1 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 -1 0 0 1 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.530871818165 0.935853278076 3 6 2 7 0132 0132 0132 0132 1 1 1 1 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 -1 1 1 0 0 -1 -3 0 0 3 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.050034264058 1.531494431705 8 3 9 2 0132 0132 0132 0132 1 1 1 1 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 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.050034264058 1.531494431705 8 4 8 10 1023 0132 1230 0132 1 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.298725860461 0.553715870404 11 11 4 9 0132 1230 0132 0132 1 1 0 1 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 -1 0 1 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.298725860461 0.553715870404 5 6 11 6 0132 1023 0132 3012 1 1 1 1 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 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.298725860461 0.553715870404 10 10 7 5 3012 0132 0132 0132 1 1 1 0 0 0 0 0 0 0 0 0 -1 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 4 -4 0 0 -2 3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.298725860461 0.553715870404 11 9 6 9 1230 0132 0132 1230 1 1 0 1 0 0 0 0 -1 0 0 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 0 0 0 4 0 0 -4 1 -3 0 2 -3 4 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.245333810959 1.398843223968 7 10 7 8 0132 3012 3012 0132 1 1 1 0 0 -1 1 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 3 -3 0 1 0 -1 0 0 -4 0 4 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.245333810959 1.398843223968 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : d['c_1001_0'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_0'], 'c_1001_7' : d['c_1001_6'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : negation(d['c_1001_1']), 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : negation(d['c_0101_10']), 'c_1010_11' : negation(d['c_0101_10']), 'c_1010_10' : d['c_0101_11'], 's_0_10' : d['1'], 's_0_11' : negation(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_10'], '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_10' : d['1'], 's_2_11' : negation(d['1']), 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1100_2'], 'c_1100_4' : d['c_1100_2'], 'c_1100_7' : d['c_1100_2'], 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_1100_2'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_6']), 'c_1100_10' : d['c_0101_5'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_11'], 'c_1010_6' : d['c_1001_0'], 'c_1010_5' : negation(d['c_1001_1']), 'c_1010_4' : d['c_1001_6'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : d['c_1001_0'], 'c_1010_8' : d['c_0101_10'], 'c_1100_8' : negation(d['c_1001_6']), 's_3_1' : negation(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'], 's_1_7' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_10']), 'c_0011_8' : d['c_0011_3'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_7' : d['c_0011_10'], '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_0110_11' : d['c_0101_2'], 'c_0110_10' : negation(d['c_0011_10']), 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_2'], 'c_0101_6' : negation(d['c_0101_10']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_2'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_2'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_5, c_1001_0, c_1001_1, c_1001_6, c_1100_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t + 5/27*c_1100_2^2 - 2/3*c_1100_2 + 20/27, c_0011_0 - 1, c_0011_10 - 1, c_0011_3 - c_1100_2, c_0101_0 + c_1100_2 - 1, c_0101_10 - 2*c_1100_2^2 + 3*c_1100_2 - 3, c_0101_11 - c_1100_2 + 1, c_0101_2 + c_1100_2^2 - 2*c_1100_2 + 2, c_0101_5 - 1, c_1001_0 + c_1100_2^2 - 2*c_1100_2 + 2, c_1001_1 - c_1100_2 + 1, c_1001_6 - 1, c_1100_2^3 - 3*c_1100_2^2 + 4*c_1100_2 - 3 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_5, c_1001_0, c_1001_1, c_1001_6, c_1100_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 15749/604*c_1100_2^9 - 343/4*c_1100_2^8 + 52675/302*c_1100_2^7 - 52572/151*c_1100_2^6 + 310773/604*c_1100_2^5 - 152845/302*c_1100_2^4 + 180217/302*c_1100_2^3 - 40990/151*c_1100_2^2 + 67643/604*c_1100_2 - 21491/604, c_0011_0 - 1, c_0011_10 - 1, c_0011_3 - c_1100_2, c_0101_0 + 521/151*c_1100_2^9 - 12*c_1100_2^8 + 3783/151*c_1100_2^7 - 7534/151*c_1100_2^6 + 11398/151*c_1100_2^5 - 11616/151*c_1100_2^4 + 13213/151*c_1100_2^3 - 7051/151*c_1100_2^2 + 2442/151*c_1100_2 - 923/151, c_0101_10 + 1421/151*c_1100_2^9 - 32*c_1100_2^8 + 9920/151*c_1100_2^7 - 19722/151*c_1100_2^6 + 29516/151*c_1100_2^5 - 29395/151*c_1100_2^4 + 33840/151*c_1100_2^3 - 16799/151*c_1100_2^2 + 5664/151*c_1100_2 - 2356/151, c_0101_11 - 232/151*c_1100_2^9 + 5*c_1100_2^8 - 1484/151*c_1100_2^7 + 2921/151*c_1100_2^6 - 4255/151*c_1100_2^5 + 3924/151*c_1100_2^4 - 4585/151*c_1100_2^3 + 1735/151*c_1100_2^2 - 293/151*c_1100_2 + 209/151, c_0101_2 - 232/151*c_1100_2^9 + 5*c_1100_2^8 - 1484/151*c_1100_2^7 + 2921/151*c_1100_2^6 - 4255/151*c_1100_2^5 + 3924/151*c_1100_2^4 - 4585/151*c_1100_2^3 + 1886/151*c_1100_2^2 - 444/151*c_1100_2 + 360/151, c_0101_5 + 383/151*c_1100_2^9 - 9*c_1100_2^8 + 2843/151*c_1100_2^7 - 5639/151*c_1100_2^6 + 8634/151*c_1100_2^5 - 8907/151*c_1100_2^4 + 10021/151*c_1100_2^3 - 5661/151*c_1100_2^2 + 1954/151*c_1100_2 - 662/151, c_1001_0 - 232/151*c_1100_2^9 + 5*c_1100_2^8 - 1484/151*c_1100_2^7 + 2921/151*c_1100_2^6 - 4255/151*c_1100_2^5 + 3924/151*c_1100_2^4 - 4585/151*c_1100_2^3 + 1886/151*c_1100_2^2 - 444/151*c_1100_2 + 360/151, c_1001_1 - 521/151*c_1100_2^9 + 12*c_1100_2^8 - 3783/151*c_1100_2^7 + 7534/151*c_1100_2^6 - 11398/151*c_1100_2^5 + 11616/151*c_1100_2^4 - 13213/151*c_1100_2^3 + 7051/151*c_1100_2^2 - 2442/151*c_1100_2 + 923/151, c_1001_6 + 383/151*c_1100_2^9 - 9*c_1100_2^8 + 2843/151*c_1100_2^7 - 5639/151*c_1100_2^6 + 8634/151*c_1100_2^5 - 8907/151*c_1100_2^4 + 10021/151*c_1100_2^3 - 5661/151*c_1100_2^2 + 1954/151*c_1100_2 - 662/151, c_1100_2^10 - 4*c_1100_2^9 + 9*c_1100_2^8 - 18*c_1100_2^7 + 29*c_1100_2^6 - 33*c_1100_2^5 + 36*c_1100_2^4 - 26*c_1100_2^3 + 11*c_1100_2^2 - 4*c_1100_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB