Magma V2.19-8 Tue Aug 20 2013 23:39:16 on localhost [Seed = 3616650117] Type ? for help. Type -D to quit. Loading file "K13n1708__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n1708 geometric_solution 9.88454709 oriented_manifold CS_known -0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.028749936005 0.556658333322 0 5 7 6 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.324368353269 0.837870911776 4 0 7 5 1023 0132 2103 2103 0 0 0 0 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 0 -1 -5 0 0 5 0 5 0 -5 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.434281135920 0.917643017721 6 7 8 0 1023 2103 0132 0132 0 0 0 0 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 0 0 0 0 5 0 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.728730301260 2.231103302607 5 2 0 8 0132 1023 0132 0132 0 0 0 0 0 1 0 -1 -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 5 -1 -4 -5 0 0 5 -4 0 0 4 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.085697147256 1.418759182115 4 1 9 2 0132 0132 0132 2103 0 0 0 0 0 0 -1 1 1 0 0 -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 -5 5 5 0 0 -5 -1 0 0 1 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.943933336871 1.011868740573 10 3 1 9 0132 1023 0132 3120 0 0 0 0 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 0 0 0 -4 0 0 4 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.000537473909 0.663621854771 2 3 10 1 2103 2103 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0.412782520970 0.565573070407 9 10 4 3 1023 0321 0132 0132 0 0 0 0 0 -1 1 0 1 0 -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 -4 4 0 5 0 -5 0 -1 1 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.162501601281 0.512637416055 6 8 10 5 3120 1023 1023 0132 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 0 -5 0 5 -4 0 4 0 -5 1 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.833795979352 0.778811707161 6 7 9 8 0132 1230 1023 0321 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 0 0 0 0 0 -4 4 4 0 0 -4 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.098910262338 0.542434856542 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_9'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0011_7'], 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : negation(d['c_1001_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_7'], 'c_1001_2' : d['c_0011_7'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : d['c_0110_2'], 'c_1010_10' : d['c_0011_7'], '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_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' : 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' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0110_2']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0110_2']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_9']), 'c_1100_6' : negation(d['c_0101_9']), 'c_1100_1' : negation(d['c_0101_9']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0101_1']), 'c_1100_10' : d['c_0110_2'], 'c_1010_7' : negation(d['c_1001_0']), 'c_1010_6' : negation(d['c_0011_8']), 'c_1010_5' : negation(d['c_1001_0']), 'c_1010_4' : d['c_0110_2'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : d['c_0011_7'], 'c_1010_9' : d['c_0101_3'], 'c_1010_8' : d['c_0011_7'], 'c_1100_8' : d['c_1100_0'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : 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' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_8'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_7'], '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_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : negation(d['c_0011_8']), 'c_0101_7' : d['c_0011_7'], 'c_0101_6' : negation(d['c_0011_8']), 'c_0101_5' : d['c_0101_10'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_7'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_8']), 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : negation(d['c_0011_8']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_8']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_10']})} 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_7, c_0011_8, c_0101_1, c_0101_10, c_0101_3, c_0101_9, c_0110_2, c_1001_0, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 62100832/124321*c_1100_0^7 - 75116464/124321*c_1100_0^6 - 250245056/124321*c_1100_0^5 - 329153904/124321*c_1100_0^4 - 21040120/7313*c_1100_0^3 - 31904396/7313*c_1100_0^2 + 45178392/124321*c_1100_0 - 110590472/124321, c_0011_0 - 1, c_0011_10 - 3*c_1100_0^7 - c_1100_0^6 - 13*c_1100_0^5 - 4*c_1100_0^4 - 83/4*c_1100_0^3 - 27/4*c_1100_0^2 - 3*c_1100_0 - 3/2, c_0011_7 + 3/2*c_1100_0^7 + 13/2*c_1100_0^5 + 87/8*c_1100_0^3 + 11/4*c_1100_0, c_0011_8 - 3*c_1100_0^7 - 13*c_1100_0^5 - 83/4*c_1100_0^3 - 3*c_1100_0, c_0101_1 + c_1100_0^7 + 4*c_1100_0^5 + 23/4*c_1100_0^3, c_0101_10 + 3*c_1100_0^7 - c_1100_0^6 + 13*c_1100_0^5 - 4*c_1100_0^4 + 83/4*c_1100_0^3 - 27/4*c_1100_0^2 + 3*c_1100_0 - 3/2, c_0101_3 - 1/2*c_1100_0^7 - 5/2*c_1100_0^5 - 33/8*c_1100_0^3 - 5/4*c_1100_0, c_0101_9 - 5/2*c_1100_0^7 + c_1100_0^6 - 21/2*c_1100_0^5 + 4*c_1100_0^4 - 133/8*c_1100_0^3 + 27/4*c_1100_0^2 - 7/4*c_1100_0 + 3/2, c_0110_2 - c_1100_0^7 + 2*c_1100_0^6 - 4*c_1100_0^5 + 9*c_1100_0^4 - 23/4*c_1100_0^3 + 15*c_1100_0^2 + c_1100_0 + 3, c_1001_0 - c_1100_0^7 + 1/2*c_1100_0^6 - 4*c_1100_0^5 + 5/2*c_1100_0^4 - 23/4*c_1100_0^3 + 41/8*c_1100_0^2 + c_1100_0 + 7/4, c_1100_0^8 + 9/2*c_1100_0^6 + 31/4*c_1100_0^4 + 19/8*c_1100_0^2 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.190 Total time: 0.400 seconds, Total memory usage: 32.09MB