Magma V2.19-8 Tue Aug 20 2013 23:42:41 on localhost [Seed = 3347161732] Type ? for help. Type -D to quit. Loading file "L13n4761__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4761 geometric_solution 9.59502974 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 1 3 0132 0132 3012 0132 1 0 1 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 -1 1 -1 0 1 0 1 -6 0 5 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.453323389305 1.617483963945 0 0 2 4 0132 1230 1230 0132 0 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 -1 0 1 1 0 -1 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 0.187532089277 0.554862127256 3 0 5 1 0213 0132 0132 3012 1 0 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 0 0 0 0 0 0 0 0 -1 0 1 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.536576611064 0.389040288636 2 6 0 4 0213 0132 0132 2103 1 0 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 0 0 0 0 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.077399688689 0.655224837409 5 7 1 3 2103 0132 0132 2103 0 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 0 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 -0.598284367605 0.911624498108 8 9 4 2 0132 0132 2103 0132 1 0 1 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 -6 0 0 6 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.202354233600 0.435567818757 8 3 9 10 2031 0132 1302 0132 1 1 1 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 1 0 0 0 0 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.064995517286 0.598945715568 9 4 8 8 3120 0132 2310 1023 0 1 0 1 0 0 0 0 1 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 -1 1 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.319015141723 0.738477187381 5 7 6 7 0132 3201 1302 1023 1 0 0 1 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 1 -1 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.507022611326 1.141176413959 6 5 10 7 2031 0132 0213 3120 1 1 0 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 -1 0 -5 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.820929447039 1.650168272500 10 9 6 10 3201 0213 0132 2310 1 1 1 1 0 0 0 0 -1 0 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 5 0 0 -5 0 5 0 -5 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.179070552961 1.650168272500 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : negation(d['c_0110_7']), 'c_1001_6' : d['c_0110_7'], 'c_1001_1' : d['c_0110_4'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_1001_10'], 'c_1001_2' : d['c_1001_10'], 'c_1001_9' : d['c_1001_10'], 'c_1001_8' : d['c_0101_10'], 'c_1010_10' : d['c_0101_10'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(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_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_0101_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0110_4']), 'c_1100_4' : d['c_0110_2'], 'c_1100_7' : negation(d['c_0011_5']), 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_0110_2'], 'c_1100_0' : negation(d['c_0110_4']), 'c_1100_3' : negation(d['c_0110_4']), 'c_1100_2' : negation(d['c_0110_4']), 'c_1100_10' : d['c_0011_10'], 'c_1010_7' : d['c_0101_0'], 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : d['c_1001_10'], 'c_1010_4' : negation(d['c_0110_7']), 'c_1010_3' : d['c_0110_7'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : d['c_1001_10'], 'c_1010_9' : d['c_0011_4'], 'c_1010_8' : d['c_0110_7'], 'c_1100_8' : d['c_0011_5'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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' : 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_5']), 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0011_6' : negation(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_10' : negation(d['c_0101_10']), 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : d['c_0011_3'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_7'], 'c_0110_8' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : negation(d['c_0110_2']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : d['c_0101_10']})} 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_0011_5, c_0101_0, c_0101_10, c_0110_2, c_0110_4, c_0110_7, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 5701/49*c_1001_10^9 - 1895/4*c_1001_10^8 - 299517/196*c_1001_10^7 - 313491/98*c_1001_10^6 - 1037975/196*c_1001_10^5 - 1296949/196*c_1001_10^4 - 1260785/196*c_1001_10^3 - 121353/28*c_1001_10^2 - 8503/4*c_1001_10 - 25713/196, c_0011_0 - 1, c_0011_10 - c_1001_10^7 - 3*c_1001_10^6 - 8*c_1001_10^5 - 13*c_1001_10^4 - 16*c_1001_10^3 - 14*c_1001_10^2 - 8*c_1001_10 - 2, c_0011_3 + c_1001_10^2 + c_1001_10 + 1, c_0011_4 - c_1001_10^2 - c_1001_10 - 1, c_0011_5 + c_1001_10^3 + c_1001_10^2 + 2*c_1001_10 + 1, c_0101_0 - 1, c_0101_10 - c_1001_10^6 - 3*c_1001_10^5 - 7*c_1001_10^4 - 10*c_1001_10^3 - 10*c_1001_10^2 - 7*c_1001_10 - 2, c_0110_2 - c_1001_10, c_0110_4 - c_1001_10 - 1, c_0110_7 + c_1001_10^3 + c_1001_10^2 + 2*c_1001_10 + 1, c_1001_10^10 + 5*c_1001_10^9 + 17*c_1001_10^8 + 40*c_1001_10^7 + 72*c_1001_10^6 + 101*c_1001_10^5 + 111*c_1001_10^4 + 92*c_1001_10^3 + 56*c_1001_10^2 + 20*c_1001_10 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB