Magma V2.19-8 Tue Aug 20 2013 18:00:40 on localhost [Seed = 3718015229] Type ? for help. Type -D to quit. Loading file "11_242__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_242 geometric_solution 12.22001011 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 -1 1 0 0 0 0 0 0 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.200921709882 1.416820413032 0 4 6 5 0132 2031 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 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.605919183664 0.821698585972 6 0 7 7 0321 0132 2103 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 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 8 -8 0 0 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.302005525052 0.535476433327 4 8 7 0 1023 0132 0213 0132 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 -1 0 1 0 0 0 0 0 -8 0 8 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.294418962079 0.950992698154 1 3 0 9 1302 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.391530891911 0.825520562301 9 8 1 10 1023 3012 0132 0132 0 0 0 0 0 1 0 -1 0 0 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 8 0 -8 -1 0 9 -8 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.322374778673 1.059556731749 2 11 11 1 0321 0132 1302 0132 0 0 0 0 0 0 0 0 1 0 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 0 0 0 0 9 0 0 -9 -8 8 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.434829551546 1.177327688874 2 3 2 9 2103 0213 0132 0213 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 0 0 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.200921709882 1.416820413032 5 3 12 12 1230 0132 0132 0321 0 0 0 0 0 0 0 0 1 0 -1 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 1 -1 0 9 0 -9 0 0 -9 0 9 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.239167068094 0.849224459514 10 5 4 7 0132 1023 0132 0213 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 1 -1 0 0 0 0 0 8 -9 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.202161381459 0.941402233246 9 12 5 11 0132 1023 0132 1302 0 0 0 0 0 0 1 -1 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 0 8 -8 0 0 8 -8 0 -9 0 9 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.037890977045 0.560181069005 6 6 10 12 2031 0132 2031 1302 0 0 0 0 0 0 -1 1 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 -9 9 0 0 8 -8 -1 0 0 1 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.723948807537 0.747425540139 10 8 11 8 1023 0321 2031 0132 0 0 0 0 0 0 0 0 0 0 -1 1 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 -9 9 9 -9 0 0 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.692738604436 1.091010960064 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_9']), 'c_1001_10' : d['c_0101_12'], 'c_1001_12' : negation(d['c_0110_11']), 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : d['c_0011_7'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0110_11'], 'c_1001_1' : negation(d['c_0101_9']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_0'], 'c_1001_2' : d['c_0011_7'], 'c_1001_9' : d['c_0101_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_1001_0'], 'c_1010_11' : d['c_0110_11'], 'c_1010_10' : negation(d['c_0101_12']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], '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_12' : 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_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0110_11']), 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : d['c_0101_11'], 'c_1100_4' : d['c_1010_7'], 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : d['c_0101_11'], 'c_1100_1' : d['c_0101_11'], 'c_1100_0' : d['c_1010_7'], 'c_1100_3' : d['c_1010_7'], 'c_1100_2' : d['c_0101_10'], 's_0_10' : d['1'], 'c_1100_9' : d['c_1010_7'], 'c_1100_11' : d['c_0101_12'], 'c_1100_10' : d['c_0101_11'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1010_7'], 'c_1010_6' : negation(d['c_0101_9']), 'c_1010_5' : d['c_0101_12'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : d['c_0011_7'], 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : d['c_1001_0'], '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_0110_11']), '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' : negation(d['c_0011_10']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_3'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_11']), '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_0110_11'], 'c_0110_10' : d['c_0101_9'], 'c_0110_12' : negation(d['c_0101_12']), 'c_0101_7' : d['c_0011_11'], 'c_0101_6' : negation(d['c_0011_11']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : d['c_0011_7'], 'c_0101_2' : d['c_0011_11'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0101_12']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_11'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : negation(d['c_0101_10']), 'c_0110_6' : d['c_0011_0'], 's_2_9' : d['1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_7, c_0101_0, c_0101_10, c_0101_11, c_0101_12, c_0101_9, c_0110_11, c_1001_0, c_1010_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 38/5*c_1001_0^5 + 16/5*c_1001_0^4 + 16/5*c_1001_0^3 + 7/5*c_1001_0^2 + 67/5*c_1001_0 + 29/5, c_0011_0 - 1, c_0011_10 - c_1001_0^4 - c_1001_0^2 - 1, c_0011_11 + c_1001_0^5 + c_1001_0, c_0011_3 - c_1001_0^2, c_0011_7 - c_1001_0 - 1, c_0101_0 - 1, c_0101_10 + c_1001_0^5 + c_1001_0, c_0101_11 + c_1001_0^2 - c_1001_0 + 1, c_0101_12 - c_1001_0^4, c_0101_9 + c_1001_0 - 1, c_0110_11 + c_1001_0^5 + c_1001_0^3 + c_1001_0, c_1001_0^6 + c_1001_0^4 + 2*c_1001_0^2 + 1, c_1010_7 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2.560 Total time: 2.770 seconds, Total memory usage: 64.12MB