Magma V2.19-8 Tue Aug 20 2013 23:53:56 on localhost [Seed = 3616652356] Type ? for help. Type -D to quit. Loading file "L13n7829__sl2_c5.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n7829 geometric_solution 11.76223429 oriented_manifold CS_known 0.0000000000000003 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 2 2 1 1 0 0 0 0 0 0 -1 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 1 -1 0 0 0 3 -3 1 0 0 -1 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.387887738623 0.673487715470 0 3 5 3 0132 1023 0132 0132 2 2 1 1 0 0 0 0 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 -1 0 1 0 0 2 -2 3 -2 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.090741774943 1.326072628783 5 0 7 6 0132 0132 0132 0132 2 2 1 1 0 0 0 0 1 0 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 -1 1 0 -2 0 0 2 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.355456440890 0.867028534226 1 5 1 0 1023 0132 0132 0132 2 2 1 1 0 0 0 0 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 0 -1 1 1 0 2 -3 2 -2 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.090741774943 1.326072628783 7 6 0 5 0132 0132 0132 0132 2 2 1 1 0 0 0 0 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 0 0 0 -3 0 3 0 -2 0 0 2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.355456440890 0.867028534226 2 3 4 1 0132 0132 0132 0132 2 2 1 1 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 0 0 2 0 0 -2 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.387887738623 0.673487715470 8 4 2 9 0132 0132 0132 0132 2 2 1 1 0 0 0 0 0 0 1 -1 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 -2 2 0 1 0 -1 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.146935783012 0.887220247347 4 10 11 2 0132 0132 0132 0132 2 2 1 1 0 0 0 0 -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 1 0 -1 3 0 -3 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.146935783012 0.887220247347 6 10 11 11 0132 1023 3012 3120 0 2 1 1 0 2 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 0 0 0 0 -1 0 1 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.475453025016 1.045689690599 10 10 6 11 3012 0213 0132 0132 2 2 0 1 0 0 0 0 0 0 1 -1 -1 -1 0 2 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 -2 3 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.475453025016 1.045689690599 8 7 9 9 1023 0132 0213 1230 2 0 1 1 0 0 0 0 -2 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 -1 0 1 1 0 -1 0 -3 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.475453025016 1.045689690599 8 8 9 7 3120 1230 0132 0132 2 2 1 0 0 0 0 0 0 0 1 -1 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -3 3 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.475453025016 1.045689690599 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_10'], 'c_1001_7' : d['c_0101_8'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_1001_10'], 'c_1001_9' : d['c_1001_10'], 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_11' : d['c_0101_8'], 'c_1010_10' : d['c_0101_8'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_11']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_11']), 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_11'], 'c_1100_6' : d['c_1100_11'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_11'], 's_0_10' : d['1'], 'c_1100_11' : d['c_1100_11'], 'c_1100_10' : d['c_0101_11'], 's_3_10' : negation(d['1']), 'c_1010_7' : d['c_1001_10'], 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : d['c_1001_10'], 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : negation(d['c_0011_11']), 's_3_1' : 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' : negation(d['1']), 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], '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_11']), 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_10']), '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' : d['c_0101_5'], 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_5'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_5'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_8']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0101_0, c_0101_1, c_0101_11, c_0101_5, c_0101_8, c_1001_0, c_1001_10, c_1100_0, c_1100_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 1327/2450*c_1100_11^5 + 4392/1225*c_1100_11^4 - 26981/2450*c_1100_11^3 + 44409/2450*c_1100_11^2 - 38793/2450*c_1100_11 + 6193/1225, c_0011_0 - 1, c_0011_10 + c_1100_11^4 - 3*c_1100_11^3 + 4*c_1100_11^2 - c_1100_11, c_0011_11 + 1, c_0101_0 - 1, c_0101_1 + c_1100_11^3 - 4*c_1100_11^2 + 7*c_1100_11 - 3, c_0101_11 + c_1100_11^5 - 6*c_1100_11^4 + 17*c_1100_11^3 - 26*c_1100_11^2 + 21*c_1100_11 - 6, c_0101_5 + c_1100_11^5 - 7*c_1100_11^4 + 21*c_1100_11^3 - 33*c_1100_11^2 + 26*c_1100_11 - 8, c_0101_8 - 2*c_1100_11^4 + 10*c_1100_11^3 - 22*c_1100_11^2 + 22*c_1100_11 - 8, c_1001_0 - c_1100_11^3 + 4*c_1100_11^2 - 7*c_1100_11 + 3, c_1001_10 - c_1100_11^5 + 7*c_1100_11^4 - 21*c_1100_11^3 + 33*c_1100_11^2 - 26*c_1100_11 + 8, c_1100_0 + c_1100_11^3 - 4*c_1100_11^2 + 7*c_1100_11 - 4, c_1100_11^6 - 7*c_1100_11^5 + 23*c_1100_11^4 - 42*c_1100_11^3 + 44*c_1100_11^2 - 23*c_1100_11 + 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB