Magma V2.19-8 Tue Aug 20 2013 17:56:12 on localhost [Seed = 324183263] Type ? for help. Type -D to quit. Loading file "11_197__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_197 geometric_solution 10.40453674 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -1 0 1 -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 1 -1 1 0 -1 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 0.668373464594 1.586592071901 0 5 7 6 0132 0132 0132 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 -1 0 0 1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.516802240676 0.712649745147 6 0 3 7 0321 0132 3201 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 0 0 0 0 -1 1 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.765749507978 0.890549100169 2 8 9 0 2310 0132 0132 0132 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 0 -1 -1 0 0 1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.341872182530 0.564341212357 8 7 0 10 3201 3201 0132 0132 0 0 0 0 0 1 -1 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 -1 1 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 -0.240785103290 0.736597970219 8 1 9 10 0213 0132 0213 3120 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 0.444887815359 0.645582728262 2 10 1 8 0321 0132 0132 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 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 0.516802240676 0.712649745147 9 2 4 1 0132 2310 2310 0132 0 0 0 0 0 0 0 0 -1 0 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 1 -1 0 1 0 -1 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 0.400938281949 1.226530714034 5 3 6 4 0213 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 1 -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 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 0.400938281949 1.226530714034 7 5 10 3 0132 0213 0132 0132 0 0 0 0 0 0 0 0 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 0 0 -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 0.341872182530 0.564341212357 5 6 4 9 3120 0132 0132 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 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 0.668373464594 1.586592071901 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_0'], 'c_1001_10' : d['c_1001_0'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_7' : negation(d['c_1001_0']), 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_10']), 'c_1001_2' : negation(d['c_0101_3']), 'c_1001_9' : d['c_1001_5'], 'c_1001_8' : d['c_1001_0'], 'c_1010_10' : d['c_1001_5'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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' : negation(d['1']), 's_2_7' : d['1'], 's_2_10' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_1100_0'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_10']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_4'], 'c_1100_6' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0011_3']), 'c_1100_10' : d['c_1100_0'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : d['c_1001_0'], 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0101_3']), 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : negation(d['c_0101_10']), 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_3'], 'c_0011_6' : negation(d['c_0011_10']), '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_10' : d['c_0101_1'], 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_1'], 'c_0101_8' : d['c_0011_0'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_10'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : d['c_0011_4']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_1001_0, c_1001_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 180217/84*c_1100_0^3 + 1598921/84*c_1100_0^2 - 178055/168*c_1100_0 + 53297/56, c_0011_0 - 1, c_0011_10 - c_1100_0 + 1, c_0011_3 - 4/7*c_1100_0^3 + 40/7*c_1100_0^2 - 43/7*c_1100_0 + 2/7, c_0011_4 - 6/7*c_1100_0^3 + 60/7*c_1100_0^2 - 61/7*c_1100_0 + 3/7, c_0101_0 - 2/7*c_1100_0^2 + 17/7*c_1100_0 - 10/7, c_0101_1 + 2/7*c_1100_0^3 - 20/7*c_1100_0^2 + 18/7*c_1100_0 + 6/7, c_0101_10 - c_1100_0 + 1, c_0101_3 + 1, c_1001_0 + 2/7*c_1100_0^3 - 20/7*c_1100_0^2 + 25/7*c_1100_0 - 8/7, c_1001_5 - 2/7*c_1100_0^3 + 18/7*c_1100_0^2 - 8/7*c_1100_0 - 9/7, c_1100_0^4 - 10*c_1100_0^3 + 21/2*c_1100_0^2 - c_1100_0 + 1/2 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_1001_0, c_1001_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 11/46*c_1100_0^6 - 49/92*c_1100_0^5 - 33/92*c_1100_0^4 + 35/23*c_1100_0^3 + 35/46*c_1100_0^2 - 269/92*c_1100_0 - 219/92, c_0011_0 - 1, c_0011_10 - 1, c_0011_3 - 10/23*c_1100_0^6 + 16/23*c_1100_0^5 + 15/23*c_1100_0^4 - 49/23*c_1100_0^3 - 59/23*c_1100_0^2 + 70/23*c_1100_0 + 64/23, c_0011_4 + 25/23*c_1100_0^6 - 40/23*c_1100_0^5 - 26/23*c_1100_0^4 + 111/23*c_1100_0^3 + 113/23*c_1100_0^2 - 129/23*c_1100_0 - 68/23, c_0101_0 + 15/23*c_1100_0^6 - 24/23*c_1100_0^5 - 11/23*c_1100_0^4 + 62/23*c_1100_0^3 + 54/23*c_1100_0^2 - 59/23*c_1100_0 - 27/23, c_0101_1 - 9/23*c_1100_0^6 + 19/23*c_1100_0^5 + 2/23*c_1100_0^4 - 51/23*c_1100_0^3 - 14/23*c_1100_0^2 + 63/23*c_1100_0 + 7/23, c_0101_10 - 1, c_0101_3 + 1, c_1001_0 - 9/23*c_1100_0^6 + 19/23*c_1100_0^5 + 2/23*c_1100_0^4 - 51/23*c_1100_0^3 - 14/23*c_1100_0^2 + 63/23*c_1100_0 + 7/23, c_1001_5 - 15/23*c_1100_0^6 + 24/23*c_1100_0^5 + 11/23*c_1100_0^4 - 62/23*c_1100_0^3 - 54/23*c_1100_0^2 + 59/23*c_1100_0 + 27/23, c_1100_0^7 - c_1100_0^6 - 2*c_1100_0^5 + 4*c_1100_0^4 + 7*c_1100_0^3 - 3*c_1100_0^2 - 6*c_1100_0 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.300 seconds, Total memory usage: 32.09MB