Magma V2.19-8 Tue Aug 20 2013 23:43:14 on localhost [Seed = 1064917524] Type ? for help. Type -D to quit. Loading file "L13n7868__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n7868 geometric_solution 10.44861816 oriented_manifold CS_known -0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 1 0132 0132 0132 2031 2 2 0 2 0 0 0 0 0 0 0 0 3 -1 0 -2 -1 0 1 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 2 -1 0 -1 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.782983248718 0.653843183576 0 0 5 4 0132 1302 0132 0132 2 2 2 0 0 0 0 0 0 0 0 0 1 0 0 -1 -3 2 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 4 -1 0 -3 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.247546553969 0.628348764103 5 0 5 6 0132 0132 3012 0132 2 2 2 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 0 -1 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 0.457255517537 1.377651271290 7 7 8 0 0132 1302 0132 0132 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 4 0 -4 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.628348764103 0.752453446031 7 9 1 6 2103 0132 0132 2031 2 2 2 2 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 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.849941002503 1.536889326434 2 2 8 1 0132 1230 3120 0132 2 2 0 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 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 0.247546553969 0.628348764103 9 4 2 10 3012 1302 0132 0132 2 2 2 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 0 0 0 0 0 1 -1 3 0 1 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.062929784434 0.644520592731 3 10 4 3 0132 1023 2103 2031 2 2 1 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 4 0 -4 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 0.527680706138 1.068354218651 10 10 5 3 1023 0321 3120 0132 2 2 1 2 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 2 -3 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.628348764103 0.752453446031 9 4 9 6 2031 0132 1302 1230 2 2 2 2 0 0 1 -1 -1 0 1 0 -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 0 3 -3 -3 0 3 0 -3 3 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.312120410875 0.417104278197 7 8 6 8 1023 1023 0132 0321 2 2 1 2 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 -4 0 4 0 -1 -2 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.346156816424 0.782983248718 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_8'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0101_5'], 'c_1001_7' : d['c_0011_4'], 'c_1001_6' : d['c_0110_4'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_0110_4'], 'c_1001_3' : d['c_0101_3'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : negation(d['c_1001_5']), 'c_1010_10' : d['c_0101_3'], '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_0011_4'], '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' : 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_1100_9' : d['c_0011_4'], 'c_1100_8' : negation(d['c_0101_5']), 'c_1100_5' : negation(d['c_0101_8']), 'c_1100_4' : negation(d['c_0101_8']), 'c_1100_7' : negation(d['c_0110_4']), 'c_1100_6' : negation(d['c_1001_5']), 'c_1100_1' : negation(d['c_0101_8']), 'c_1100_0' : negation(d['c_0101_5']), 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : negation(d['c_1001_5']), 'c_1100_10' : negation(d['c_1001_5']), 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : d['c_0101_8'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : d['c_0110_4'], 'c_1010_2' : d['c_0110_4'], 'c_1010_1' : d['c_0101_5'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0101_5'], 'c_1010_8' : d['c_0101_3'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : 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'], '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_4']), 'c_0011_8' : 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' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : negation(d['c_0011_10']), 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], '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_0011_4'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_6'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], '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_0110_4'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0011_4']})} 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_4, c_0011_6, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0101_8, c_0110_4, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 203*c_0110_4^5 + 41/2*c_0110_4^4 + 1497/8*c_0110_4^3 - 1037/8*c_0110_4^2 - 841/8*c_0110_4 + 481/8, c_0011_0 - 1, c_0011_10 + 1, c_0011_4 + 2*c_0110_4^4 - c_0110_4^3 + 1/4*c_0110_4^2 + 1/4, c_0011_6 - 2*c_0110_4^5 + c_0110_4^4 + 15/4*c_0110_4^3 - 3*c_0110_4^2 - 1/4*c_0110_4 + 1, c_0101_0 - 1, c_0101_1 + 20*c_0110_4^5 - 2*c_0110_4^4 - 35/2*c_0110_4^3 + 11*c_0110_4^2 + 19/2*c_0110_4 - 5, c_0101_3 - 10*c_0110_4^5 + 3*c_0110_4^4 + 47/4*c_0110_4^3 - 29/4*c_0110_4^2 - 21/4*c_0110_4 + 19/4, c_0101_5 - 8*c_0110_4^5 + 9*c_0110_4^3 - 9/2*c_0110_4^2 - 5*c_0110_4 + 7/2, c_0101_8 + c_0110_4, c_0110_4^6 - 1/2*c_0110_4^5 - 7/8*c_0110_4^4 + c_0110_4^3 + 1/4*c_0110_4^2 - 1/2*c_0110_4 + 1/8, c_1001_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB