Magma V2.19-8 Wed Aug 21 2013 00:59:53 on localhost [Seed = 2084202327] Type ? for help. Type -D to quit. Loading file "L13n7869__sl2_c7.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n7869 geometric_solution 12.55175922 oriented_manifold CS_known -0.0000000000000002 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 2 2 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 1 -3 2 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 -0.175098197184 0.691824754797 0 2 3 2 0132 2031 2103 3012 2 1 2 2 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 -3 2 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 0.711863769032 0.986381244707 1 0 1 4 1302 0132 1230 0321 1 2 2 2 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 1 0 0 0 0 0 3 0 0 -3 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.711863769032 0.986381244707 1 5 6 0 2103 0132 0132 0132 1 1 2 2 0 1 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 0 0 0 0 -3 0 3 -1 0 1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.040046386500 1.098790431595 5 2 0 6 0132 0321 0132 0132 1 1 2 2 0 0 1 -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 0 -2 2 0 0 0 0 0 3 0 -3 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.040046386500 1.098790431595 4 3 7 8 0132 0132 0132 0132 1 1 2 2 0 -1 0 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 3 0 -3 0 0 0 0 -1 0 0 1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.201841492940 1.141374974929 8 7 4 3 0132 0132 0132 0132 1 1 2 2 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 2 -2 0 1 0 0 -1 0 0 0 0 -1 -2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.201841492940 1.141374974929 9 6 10 5 0132 0132 0132 0132 1 1 2 2 0 1 -1 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 -2 2 0 0 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 0.245783085992 1.010785258983 6 11 5 12 0132 0132 0132 0132 1 1 2 2 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 3 -3 -1 0 0 1 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.245783085992 1.010785258983 7 11 12 12 0132 1023 2103 2031 0 1 2 2 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 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 0.395888354947 0.800354567196 11 11 12 7 2031 0321 0132 0132 1 1 2 0 0 0 -1 1 0 0 0 0 0 0 0 0 2 -3 1 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 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.395888354947 0.800354567196 9 8 10 10 1023 0132 1302 0321 1 0 2 2 0 0 0 0 -1 0 -2 3 0 0 0 0 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 -2 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.395888354947 0.800354567196 9 9 8 10 2103 1302 0132 0132 1 1 0 2 0 0 -1 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 -1 3 -2 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 0.395888354947 0.800354567196 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_7'], 'c_1001_10' : d['c_0101_10'], 'c_1001_12' : d['c_0101_7'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : d['c_1001_3'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_0'], 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_1001_3'], 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : d['c_1001_3'], 'c_1010_10' : d['c_1001_3'], 's_0_10' : negation(d['1']), 's_3_10' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_10']), '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' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : negation(d['1']), 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(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' : negation(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_0101_10']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_1100_10'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_10'], 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : negation(d['c_0101_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_0'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : d['c_1100_10'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_0'], 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : d['c_1001_3'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_0101_0'], 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : d['c_0101_7'], 'c_1100_8' : d['c_1100_10'], 's_3_1' : d['1'], 's_3_0' : negation(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' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1100_10'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_11'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : d['c_0011_11'], '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' : negation(d['c_0011_10']), 'c_0110_10' : d['c_0101_7'], 'c_0110_12' : d['c_0101_10'], 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_12'], 'c_0101_5' : d['c_0101_12'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_12'], 'c_0101_8' : d['c_0101_1'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_7'], 'c_0110_8' : d['c_0101_12'], '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' : d['c_0101_12'], 'c_0110_7' : d['c_0101_12'], 'c_0110_6' : d['c_0101_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_10, c_0011_11, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_7, c_1001_0, c_1001_3, c_1100_0, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 596/27225*c_1100_10^3 - 3331/54450*c_1100_10^2 - 218/3025*c_1100_10 + 362/27225, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 + c_1100_10^3 + 5*c_1100_10^2 + 10*c_1100_10 + 11, c_0011_3 - c_1100_10^2 - 3*c_1100_10 - 5, c_0101_0 - 1, c_0101_1 + c_1100_10^2 + 3*c_1100_10 + 4, c_0101_10 - c_1100_10^3 - 4*c_1100_10^2 - 7*c_1100_10 - 5, c_0101_12 - 2*c_1100_10^2 - 5*c_1100_10 - 7, c_0101_7 + 2*c_1100_10^3 + 6*c_1100_10^2 + 10*c_1100_10 + 4, c_1001_0 - c_1100_10^2 - 3*c_1100_10 - 4, c_1001_3 + 2*c_1100_10^2 + 5*c_1100_10 + 7, c_1100_0 + c_1100_10^3 + 4*c_1100_10^2 + 7*c_1100_10 + 4, c_1100_10^4 + 5*c_1100_10^3 + 13*c_1100_10^2 + 17*c_1100_10 + 11 ], 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_3, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_7, c_1001_0, c_1001_3, c_1100_0, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 49/128*c_1100_10^4 + 121/64*c_1100_10^3 + 61/16*c_1100_10^2 + 519/128*c_1100_10 + 149/128, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 - c_1100_10 - 1, c_0011_3 - c_1100_10^4 - 5*c_1100_10^3 - 11*c_1100_10^2 - 12*c_1100_10 - 6, c_0101_0 - 1, c_0101_1 + c_1100_10^4 + 5*c_1100_10^3 + 11*c_1100_10^2 + 12*c_1100_10 + 5, c_0101_10 + c_1100_10^3 + 3*c_1100_10^2 + 4*c_1100_10 + 2, c_0101_12 + c_1100_10^2 + 3*c_1100_10 + 3, c_0101_7 + c_1100_10^4 + 4*c_1100_10^3 + 8*c_1100_10^2 + 9*c_1100_10 + 5, c_1001_0 - c_1100_10^4 - 5*c_1100_10^3 - 11*c_1100_10^2 - 12*c_1100_10 - 5, c_1001_3 - c_1100_10^2 - 3*c_1100_10 - 3, c_1100_0 + c_1100_10^3 + 4*c_1100_10^2 + 7*c_1100_10 + 4, c_1100_10^5 + 6*c_1100_10^4 + 16*c_1100_10^3 + 23*c_1100_10^2 + 17*c_1100_10 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB