Magma V2.19-8 Wed Aug 21 2013 00:57:00 on localhost [Seed = 3019221346] Type ? for help. Type -D to quit. Loading file "L13n3318__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3318 geometric_solution 12.08990115 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 1302 0132 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 0 0 0 0 0 0 0 0 1 -1 -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 0.377748709941 0.751183891458 0 4 6 5 0132 0132 0132 0132 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 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 1.377748709941 0.751183891458 0 0 8 7 2031 0132 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 -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 0.465680296071 1.062537988661 6 9 0 7 0132 0132 0132 0213 0 1 0 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 0 0 0 0 0 0 0 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 0.843489431341 1.135469967030 10 1 11 9 0132 0132 0132 1023 1 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 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 0.653986710128 0.789494999407 10 11 1 12 1302 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 1 -1 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 0.440501037066 0.305053167686 3 10 11 1 0132 0321 0321 0132 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 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 0.584678221938 0.452431653288 12 12 2 3 1230 2310 0132 0213 0 0 1 1 0 1 0 -1 -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 0 0 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 0.465680296071 1.062537988661 12 10 9 2 0213 1230 0321 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 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 0.119129277950 0.864272096541 11 3 8 4 0321 0132 0321 1023 0 1 1 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 1 0 -1 1 0 0 -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 0.522048572573 0.815027740258 4 5 8 6 0132 2031 3012 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.584678221938 0.452431653288 9 5 6 4 0321 0132 0321 0132 1 0 1 1 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 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.465680296071 1.062537988661 8 7 5 7 0213 3012 0132 3201 1 1 0 1 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 0 0 0 -2 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 0.653986710128 0.789494999407 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_7']), 'c_1001_10' : negation(d['c_0011_8']), 'c_1001_12' : negation(d['c_0011_7']), 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0101_7'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : negation(d['c_0011_11']), 'c_1001_0' : d['c_0101_7'], 'c_1001_3' : d['c_0101_10'], 'c_1001_2' : d['c_0101_10'], 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : negation(d['c_1001_6']), 'c_1010_12' : negation(d['c_0101_7']), 'c_1010_11' : d['c_1001_4'], 'c_1010_10' : negation(d['c_0011_11']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 'c_0101_12' : d['c_0011_8'], 'c_0101_11' : d['c_0011_12'], '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' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : negation(d['1']), 's_2_12' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_1001_6']), 'c_1100_8' : d['c_1001_9'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_7']), 'c_1100_4' : d['c_1001_6'], 'c_1100_7' : d['c_1001_9'], 'c_1100_6' : negation(d['c_0011_7']), 'c_1100_1' : negation(d['c_0011_7']), 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_1001_9'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_6'], 'c_1100_10' : d['c_1001_6'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0011_11']), 'c_1010_5' : negation(d['c_0011_7']), 'c_1010_4' : negation(d['c_0011_11']), 'c_1010_3' : d['c_1001_9'], 'c_1010_2' : d['c_0101_7'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0101_10'], 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : d['c_0101_10'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : negation(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_0011_7']), 's_1_7' : negation(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_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], '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_11' : d['c_0011_3'], 'c_0110_10' : d['c_0011_3'], 'c_0110_12' : negation(d['c_0101_2']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_12']), 'c_0101_5' : d['c_0011_0'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : negation(d['c_0011_12']), 'c_0101_8' : d['c_0011_12'], 'c_0011_10' : negation(d['c_0011_0']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_11']), 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_12']), 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0011_8'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0011_12'], 'c_0110_6' : d['c_0101_1'], '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_11, c_0011_12, c_0011_3, c_0011_7, c_0011_8, c_0101_1, c_0101_10, c_0101_2, c_0101_7, c_1001_4, c_1001_6, c_1001_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 178/159*c_1001_9^5 + 103/53*c_1001_9^4 - 15/53*c_1001_9^3 + 221/159*c_1001_9^2 - 86/53*c_1001_9 + 64/159, c_0011_0 - 1, c_0011_11 + 13/3*c_1001_9^5 - 8/3*c_1001_9^4 - 10*c_1001_9^3 - 4*c_1001_9^2 + 49/3*c_1001_9 - 32/3, c_0011_12 + 7/3*c_1001_9^5 - 2/3*c_1001_9^4 - 5*c_1001_9^3 - 3*c_1001_9^2 + 22/3*c_1001_9 - 14/3, c_0011_3 - 2*c_1001_9^5 + c_1001_9^4 + 4*c_1001_9^3 + 2*c_1001_9^2 - 7*c_1001_9 + 5, c_0011_7 - 13/3*c_1001_9^5 + 8/3*c_1001_9^4 + 10*c_1001_9^3 + 4*c_1001_9^2 - 49/3*c_1001_9 + 29/3, c_0011_8 - 14/3*c_1001_9^5 + 7/3*c_1001_9^4 + 10*c_1001_9^3 + 5*c_1001_9^2 - 44/3*c_1001_9 + 37/3, c_0101_1 - c_1001_9, c_0101_10 + 4*c_1001_9^5 - 2*c_1001_9^4 - 9*c_1001_9^3 - 4*c_1001_9^2 + 14*c_1001_9 - 9, c_0101_2 - 4*c_1001_9^5 + 2*c_1001_9^4 + 9*c_1001_9^3 + 4*c_1001_9^2 - 15*c_1001_9 + 9, c_0101_7 - 1, c_1001_4 + c_1001_9^5 - c_1001_9^4 - 2*c_1001_9^3 + 4*c_1001_9 - 4, c_1001_6 + 7/3*c_1001_9^5 - 5/3*c_1001_9^4 - 5*c_1001_9^3 - c_1001_9^2 + 28/3*c_1001_9 - 20/3, c_1001_9^6 - c_1001_9^5 - 2*c_1001_9^4 + 4*c_1001_9^2 - 4*c_1001_9 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.250 Total time: 0.460 seconds, Total memory usage: 32.09MB