Magma V2.19-8 Tue Aug 20 2013 17:57:18 on localhost [Seed = 1461117781] Type ? for help. Type -D to quit. Loading file "9^2_26__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 9^2_26 geometric_solution 11.76223429 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 1 0132 0132 0132 2031 1 1 0 1 0 0 0 0 -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 0 1 -1 3 0 0 -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 0 0 5 4 0132 1302 0132 0132 1 1 1 0 0 -1 1 0 1 0 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 3 -2 -1 -3 0 0 3 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.639677972808 0.792475826855 5 0 5 4 0132 0132 3012 3120 1 1 1 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 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 0.383268060180 0.764048747547 5 6 7 0 2031 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 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 0.146935783012 0.887220247347 2 7 1 6 3120 1230 0132 1230 1 1 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 0 0 0 0 1 -1 2 0 -3 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 0.563123917326 0.585670962710 2 2 3 1 0132 1230 1302 0132 1 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 -2 0 2 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 0.639677972808 0.792475826855 4 3 8 9 3012 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.355456440890 0.867028534226 9 8 4 3 0132 0132 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.355456440890 0.867028534226 10 7 11 6 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 0 0 0 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 0.387887738623 0.673487715470 7 11 6 10 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 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 0.387887738623 0.673487715470 8 11 9 11 0132 1023 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 -1 0 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 0.090741774943 1.326072628783 10 9 10 8 1023 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 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 0.090741774943 1.326072628783 ==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_0101_11'], 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0011_4']), 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : negation(d['c_0011_4']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_1001_3'], 'c_1001_8' : d['c_1001_3'], 'c_1010_11' : d['c_1001_3'], 'c_1010_10' : d['c_0101_11'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], '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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : 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' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(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_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : d['c_0101_3'], 'c_1100_7' : negation(d['c_1001_4']), 'c_1100_6' : d['c_1100_10'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_0101_0']), 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_10'], 'c_1100_11' : d['c_1100_10'], 'c_1100_10' : d['c_1100_10'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_10'], 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : negation(d['c_0011_4']), 'c_1100_8' : d['c_1100_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' : 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_10']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_10'], '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_0101_11'], 'c_0110_10' : d['c_0101_11'], 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0101_10'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], '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_3'], 'c_0101_8' : d['c_0101_11'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0101_3']})} 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_3, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_3, c_1001_3, c_1001_4, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 49152/1225*c_1100_10^5 - 704512/1225*c_1100_10^4 - 151552/175*c_1100_10^3 - 65536/175*c_1100_10^2 + 17408/245*c_1100_10 - 90624/1225, c_0011_0 - 1, c_0011_10 - c_1100_10, c_0011_3 - 8*c_1100_10^4 - 8*c_1100_10^3 - 4*c_1100_10^2, c_0011_4 - 8*c_1100_10^4 - 8*c_1100_10^3 - 4*c_1100_10^2 - 1, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 - 16*c_1100_10^5 + 4*c_1100_10^3 + 4*c_1100_10^2 - c_1100_10 + 1, c_0101_11 - 16*c_1100_10^5 - 8*c_1100_10^4 + 2*c_1100_10^2 - c_1100_10 + 1/2, c_0101_3 + 8*c_1100_10^4 + 8*c_1100_10^3 + 4*c_1100_10^2 + 1, c_1001_3 - 16*c_1100_10^5 + 4*c_1100_10^3 + 4*c_1100_10^2 - c_1100_10 + 1, c_1001_4 - 8*c_1100_10^4 - 8*c_1100_10^3 - 4*c_1100_10^2, c_1100_10^6 + 1/2*c_1100_10^5 + 1/4*c_1100_10^4 + 1/8*c_1100_10^2 - 1/32*c_1100_10 + 1/64 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_3, c_1001_3, c_1001_4, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 1255169/144*c_1100_10^6 + 2069987/96*c_1100_10^5 - 17063249/576*c_1100_10^4 + 1183637/48*c_1100_10^3 - 5114579/384*c_1100_10^2 + 20025359/4608*c_1100_10 - 5960345/9216, c_0011_0 - 1, c_0011_10 - c_1100_10, c_0011_3 + 8*c_1100_10^4 - 8*c_1100_10^3 + 4*c_1100_10^2, c_0011_4 - 8*c_1100_10^4 + 8*c_1100_10^3 - 4*c_1100_10^2 + 1, c_0101_0 - 1, c_0101_1 + 1, c_0101_10 + 16*c_1100_10^5 - 32*c_1100_10^4 + 28*c_1100_10^3 - 12*c_1100_10^2 + c_1100_10 + 1, c_0101_11 + 32*c_1100_10^6 - 64*c_1100_10^5 + 64*c_1100_10^4 - 32*c_1100_10^3 + 6*c_1100_10^2 + 2*c_1100_10 - 1, c_0101_3 + 8*c_1100_10^4 - 8*c_1100_10^3 + 4*c_1100_10^2 - 1, c_1001_3 + 16*c_1100_10^5 - 32*c_1100_10^4 + 28*c_1100_10^3 - 12*c_1100_10^2 + c_1100_10 + 1, c_1001_4 + 8*c_1100_10^4 - 8*c_1100_10^3 + 4*c_1100_10^2, c_1100_10^7 - 5/2*c_1100_10^6 + 13/4*c_1100_10^5 - 5/2*c_1100_10^4 + 9/8*c_1100_10^3 - 7/32*c_1100_10^2 - 3/64*c_1100_10 + 1/32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.280 seconds, Total memory usage: 32.09MB