Magma V2.19-8 Tue Aug 20 2013 17:59:25 on localhost [Seed = 3465509460] Type ? for help. Type -D to quit. Loading file "11_119__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_119 geometric_solution 11.57362386 oriented_manifold CS_known 0.0000000000000008 1 0 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 0321 0132 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 1 0 -1 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 0.388076646723 0.672036112589 0 4 5 5 0132 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.237113807138 1.157030307079 6 0 0 7 0132 0132 0321 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 -1 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 0.388076646723 0.672036112589 5 8 0 8 3201 0132 0132 0213 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 1 -1 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 0.636099528531 0.970238922839 9 1 7 10 0132 0132 2031 0132 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 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 0.134911362097 0.446085276355 1 11 1 3 2310 0132 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.484818229268 0.308278506151 2 9 11 8 0132 0132 3201 2310 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 -1 0 0 1 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.807704771197 2.003019357214 11 12 2 4 3201 0132 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.595088105605 0.715199200168 6 3 10 3 3201 0132 2310 0213 0 0 0 0 0 0 0 0 1 0 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 1 0 0 -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 0.636099528531 0.970238922839 4 6 11 12 0132 0132 3120 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.548640310280 0.804702864546 12 8 4 12 0213 3201 0132 3012 0 0 0 0 0 1 0 -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 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 0.280913240497 1.384730454654 6 5 9 7 2310 0132 3120 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.205637195203 0.579872263308 10 7 10 9 0213 0132 1230 1023 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 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 0.295365700186 0.568779601213 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_3']), 'c_1001_10' : negation(d['c_0101_0']), 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : negation(d['c_0110_7']), 'c_1001_4' : negation(d['c_0110_7']), 'c_1001_7' : d['c_0101_4'], 'c_1001_6' : negation(d['c_0101_11']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0110_3'], 'c_1001_8' : d['c_0011_10'], 'c_1010_12' : d['c_0101_4'], 'c_1010_11' : negation(d['c_0110_7']), 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : 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' : d['c_0101_11'], 'c_0101_10' : d['c_0011_12'], '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_0101_11']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_11'], 'c_1100_4' : negation(d['c_1001_12']), 'c_1100_7' : d['c_0101_4'], 'c_1100_6' : negation(d['c_0011_11']), 'c_1100_1' : d['c_0011_11'], 'c_1100_0' : d['c_1001_2'], 'c_1100_3' : d['c_1001_2'], 'c_1100_2' : d['c_0101_4'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_12']), 'c_1100_10' : negation(d['c_1001_12']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_12'], 'c_1010_6' : d['c_0110_3'], 'c_1010_5' : negation(d['c_0110_3']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0011_10'], 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : negation(d['c_0110_7']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0101_11']), 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : d['c_0011_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' : d['c_0101_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_0']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_6']), 'c_0110_10' : d['c_0101_11'], 'c_0110_12' : negation(d['c_0101_11']), 'c_0101_12' : d['c_0011_10'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], '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_0011_12'], 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : negation(d['c_0110_3']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0011_12'], 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : negation(d['c_0101_0'])})} 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_0101_0, c_0101_1, c_0101_11, c_0101_4, c_0101_6, c_0110_3, c_0110_7, c_1001_12, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 807/19*c_1001_2^5 + 13173/95*c_1001_2^4 + 65023/190*c_1001_2^3 + 16923/190*c_1001_2^2 + 1000/19*c_1001_2 - 3815/38, c_0011_0 - 1, c_0011_10 - c_1001_2, c_0011_11 + 3/19*c_1001_2^5 + 8/19*c_1001_2^4 + 16/19*c_1001_2^3 - 4/19*c_1001_2^2 + 4/19*c_1001_2 - 12/19, c_0011_12 + 12/19*c_1001_2^5 + 51/19*c_1001_2^4 + 140/19*c_1001_2^3 + 136/19*c_1001_2^2 + 73/19*c_1001_2 + 28/19, c_0101_0 - 3/19*c_1001_2^5 - 8/19*c_1001_2^4 - 16/19*c_1001_2^3 + 4/19*c_1001_2^2 - 4/19*c_1001_2 - 7/19, c_0101_1 + 3/19*c_1001_2^5 + 8/19*c_1001_2^4 + 16/19*c_1001_2^3 - 4/19*c_1001_2^2 + 4/19*c_1001_2 + 7/19, c_0101_11 - 8/19*c_1001_2^5 - 34/19*c_1001_2^4 - 87/19*c_1001_2^3 - 78/19*c_1001_2^2 - 36/19*c_1001_2 - 6/19, c_0101_4 - 7/19*c_1001_2^5 - 25/19*c_1001_2^4 - 69/19*c_1001_2^3 - 54/19*c_1001_2^2 - 41/19*c_1001_2 - 10/19, c_0101_6 + 7/19*c_1001_2^5 + 25/19*c_1001_2^4 + 69/19*c_1001_2^3 + 35/19*c_1001_2^2 + 22/19*c_1001_2 - 9/19, c_0110_3 + 1, c_0110_7 - 7/19*c_1001_2^5 - 25/19*c_1001_2^4 - 69/19*c_1001_2^3 - 35/19*c_1001_2^2 - 22/19*c_1001_2 + 28/19, c_1001_12 + 9/19*c_1001_2^5 + 43/19*c_1001_2^4 + 124/19*c_1001_2^3 + 159/19*c_1001_2^2 + 88/19*c_1001_2 + 40/19, c_1001_2^6 + 4*c_1001_2^5 + 11*c_1001_2^4 + 10*c_1001_2^3 + 8*c_1001_2^2 + 2*c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 3.940 Total time: 4.150 seconds, Total memory usage: 64.12MB