Magma V2.19-8 Wed Aug 21 2013 00:50:58 on localhost [Seed = 1966301304] Type ? for help. Type -D to quit. Loading file "L10a92__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L10a92 geometric_solution 11.98386338 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 1023 0 0 1 1 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 -1 0 1 -1 0 2 -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 -0.094266807212 0.802634968258 0 3 4 0 0132 1023 0132 1023 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 0 0 0 0 -1 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 -0.094266807212 0.802634968258 3 0 4 5 1023 0132 1302 0132 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 1 0 -1 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 -0.345136785221 1.583705249019 1 2 6 0 1023 1023 0132 0132 0 0 1 1 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 2 -2 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.409519941076 0.851251741686 2 7 6 1 2031 0132 1023 0132 0 0 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 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 0.966939837559 1.596394207308 8 7 2 6 0132 2031 0132 0321 0 0 1 1 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 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.013429055707 1.216822691843 9 5 4 3 0132 0321 1023 0132 0 0 1 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 2 0 0 -2 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.629976947086 0.597776280904 5 4 9 8 1302 0132 1023 0213 0 1 0 1 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 1 0 -1 -1 0 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 0.144489781432 1.120857076114 5 10 11 7 0132 0132 0132 0213 0 0 1 1 0 -1 0 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 0 -1 0 1 0 0 -1 1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.540981147621 1.178618587017 6 10 7 12 0132 3012 1023 0132 1 0 0 1 0 0 -1 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 -2 0 0 2 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.286915459847 0.736710250844 9 8 12 11 1230 0132 1230 3120 0 0 1 1 0 1 -1 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 -2 1 0 0 0 0 -1 0 0 1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.047691410913 0.687322182726 10 12 12 8 3120 2103 1302 0132 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 0 0 0 0 0 0 0 0 0 -1 1 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.606904521039 0.566252317209 11 11 9 10 2031 2103 0132 3012 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 0 0 0 0 0 0 -1 -1 2 0 0 -2 2 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.119119400624 0.821876692774 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_12'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0011_11'], 'c_1001_5' : d['c_0101_5'], 'c_1001_4' : d['c_0101_12'], 'c_1001_7' : d['c_0101_3'], 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_0101_0'], 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_12' : d['c_0011_11'], 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : negation(d['c_0011_11']), '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'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_12']), 'c_0101_10' : negation(d['c_0011_11']), '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_1100_9' : negation(d['c_1001_10']), 'c_1100_8' : d['c_0101_12'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : negation(d['c_1100_0']), 'c_1100_7' : d['c_1001_10'], 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : negation(d['c_1100_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_4'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0101_12'], 'c_1100_10' : d['c_0011_12'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_12'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : d['c_0101_0'], 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : d['c_1001_10'], '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_1001_10']), '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_6']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_10'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), '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_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_6']), 'c_0110_10' : negation(d['c_0011_6']), 'c_0110_12' : d['c_0011_12'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_0'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_12'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_3'], 'c_0101_8' : negation(d['c_0011_6']), '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_12'], 'c_0110_8' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : negation(d['c_0101_5']), 'c_0110_6' : d['c_0101_3']})} 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_12, c_0011_4, c_0011_6, c_0101_0, c_0101_12, c_0101_3, c_0101_4, c_0101_5, c_1001_10, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 6*c_1100_0^15 + 16*c_1100_0^14 + 35*c_1100_0^13 - 304*c_1100_0^12 + 766*c_1100_0^11 - 960*c_1100_0^10 + 366*c_1100_0^9 + 582*c_1100_0^8 - 862*c_1100_0^7 + 189*c_1100_0^6 + 427*c_1100_0^5 - 362*c_1100_0^4 - 49*c_1100_0^3 + 162*c_1100_0^2 - 7*c_1100_0 - 26, c_0011_0 - 1, c_0011_10 - c_1100_0^3 + 2*c_1100_0^2 - 2*c_1100_0, c_0011_11 - c_1100_0^9 + 5*c_1100_0^8 - 12*c_1100_0^7 + 15*c_1100_0^6 - 9*c_1100_0^5 - c_1100_0^4 + 4*c_1100_0^3 - 2*c_1100_0^2 - c_1100_0 + 1, c_0011_12 - c_1100_0^15 + 8*c_1100_0^14 - 31*c_1100_0^13 + 72*c_1100_0^12 - 106*c_1100_0^11 + 92*c_1100_0^10 - 27*c_1100_0^9 - 36*c_1100_0^8 + 46*c_1100_0^7 - 16*c_1100_0^6 - 10*c_1100_0^5 + 12*c_1100_0^4 - 4*c_1100_0^3 + c_1100_0, c_0011_4 + c_1100_0^2 - c_1100_0 + 1, c_0011_6 + c_1100_0^5 - 3*c_1100_0^4 + 4*c_1100_0^3 - c_1100_0^2 - c_1100_0 + 1, c_0101_0 - 1, c_0101_12 + c_1100_0^4 - 2*c_1100_0^3 + 2*c_1100_0^2, c_0101_3 + c_1100_0 - 1, c_0101_4 - c_1100_0^3 + 2*c_1100_0^2 - c_1100_0, c_0101_5 + c_1100_0 - 1, c_1001_10 - c_1100_0^5 + 3*c_1100_0^4 - 4*c_1100_0^3 + c_1100_0^2 + c_1100_0 - 1, c_1100_0^16 - 8*c_1100_0^15 + 31*c_1100_0^14 - 72*c_1100_0^13 + 105*c_1100_0^12 - 86*c_1100_0^11 + 10*c_1100_0^10 + 62*c_1100_0^9 - 65*c_1100_0^8 + 12*c_1100_0^7 + 30*c_1100_0^6 - 26*c_1100_0^5 + 2*c_1100_0^4 + 8*c_1100_0^3 - 4*c_1100_0^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.210 Total time: 0.410 seconds, Total memory usage: 32.09MB