Magma V2.19-8 Tue Aug 20 2013 17:55:43 on localhost [Seed = 2311601757] Type ? for help. Type -D to quit. Loading file "10^2_133__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_133 geometric_solution 9.58585949 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 0132 0132 0132 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 0 0 0 -1 0 1 0 0 0 0 0 11 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.462785919698 0.961613260803 0 5 5 6 0132 0132 0321 0132 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 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 0.531751012091 0.901610821487 7 0 3 8 0132 0132 0213 0132 0 0 0 0 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 0 -1 0 0 -10 10 0 0 0 0 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.696910413652 0.510807850060 8 2 9 0 1023 0213 0132 0132 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 -10 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.306187508352 0.740601676259 6 5 0 6 1302 1302 0132 2103 0 0 1 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 0 -1 1 -1 0 0 1 0 -1 0 1 -1 -10 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.531751012091 0.901610821487 9 1 1 4 1023 0132 0321 2031 1 0 0 0 0 1 -1 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 0 1 0 0 0 0 -10 0 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.531751012091 0.901610821487 9 4 1 4 2103 2031 0132 2103 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 1 -1 1 0 0 -1 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.453659661521 0.873519154683 2 8 7 7 0132 3012 2031 1302 0 0 0 0 0 0 1 -1 0 0 1 -1 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 0 -11 11 0 0 -11 11 -11 0 0 11 0 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.822480732601 0.689698514324 7 3 2 9 1230 1023 0132 1230 0 0 0 0 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 0 0 -10 10 -11 10 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.859126793598 1.447917480950 8 5 6 3 3012 1023 2103 0132 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 1 0 -1 0 -10 10 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.462785919698 0.961613260803 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0110_4']), 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_0110_4']), 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : d['c_0110_5'], 'c_1001_2' : d['c_0110_5'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : d['c_0101_3'], 's_2_8' : d['1'], 's_2_9' : d['1'], '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' : negation(d['1']), 's_2_7' : 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_1100_9' : negation(d['c_0110_6']), 'c_1100_8' : d['c_0101_3'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0110_6']), 'c_1100_7' : d['c_0101_7'], 'c_1100_6' : negation(d['c_0110_4']), 'c_1100_1' : negation(d['c_0110_4']), 'c_1100_0' : negation(d['c_0110_6']), 'c_1100_3' : negation(d['c_0110_6']), 'c_1100_2' : d['c_0101_3'], 'c_1010_7' : negation(d['c_0101_7']), 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0011_4']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0110_4']), 'c_1010_0' : d['c_0110_5'], 'c_1010_9' : d['c_0110_5'], 'c_1010_8' : d['c_0101_0'], 's_3_1' : negation(d['1']), 's_3_0' : negation(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' : negation(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_0'], 'c_0011_8' : d['c_0011_3'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : negation(d['c_0011_6']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : negation(d['c_0011_6']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_7'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0011_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_6']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0011_3'], 'c_0110_6' : d['c_0110_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_3, c_0101_7, c_0110_4, c_0110_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 1153/1400*c_0110_5^4 + 12899/1400*c_0110_5^3 + 2109/100*c_0110_5^2 + 2971/200*c_0110_5 + 13407/1400, c_0011_0 - 1, c_0011_3 + 1/16*c_0110_5^4 - 3/4*c_0110_5^3 - 9/8*c_0110_5^2 - 1/4*c_0110_5 + 1/16, c_0011_4 - 1, c_0011_6 - c_0110_5 - 1, c_0101_0 - c_0110_5, c_0101_3 - 1/16*c_0110_5^4 + 7/8*c_0110_5^3 - 3/4*c_0110_5^2 + 5/8*c_0110_5 - 11/16, c_0101_7 - 1/16*c_0110_5^4 + 3/4*c_0110_5^3 + 7/8*c_0110_5^2 + 1/4*c_0110_5 + 3/16, c_0110_4 + 1, c_0110_5^5 - 13*c_0110_5^4 - 2*c_0110_5^3 - 14*c_0110_5^2 + c_0110_5 - 5, c_0110_6 - 1 ], Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_3, c_0101_7, c_0110_4, c_0110_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 99/4*c_0110_5^5 - 387/8*c_0110_5^4 - 179/8*c_0110_5^3 - 263/4*c_0110_5^2 - 91/8*c_0110_5 - 423/8, c_0011_0 - 1, c_0011_3 + 9/8*c_0110_5^5 + 27/16*c_0110_5^4 - 1/2*c_0110_5^3 + 13/8*c_0110_5^2 - 5/8*c_0110_5 + 11/16, c_0011_4 - 1, c_0011_6 + c_0110_5 - 1, c_0101_0 - c_0110_5, c_0101_3 - 3/8*c_0110_5^5 - 13/16*c_0110_5^4 - 5/8*c_0110_5^3 - 7/4*c_0110_5^2 - 1/2*c_0110_5 - 15/16, c_0101_7 + 15/8*c_0110_5^5 + 29/16*c_0110_5^4 - 5/2*c_0110_5^3 + 33/8*c_0110_5^2 - 19/8*c_0110_5 + 17/16, c_0110_4 - 1, c_0110_5^6 + 7/6*c_0110_5^5 - 1/2*c_0110_5^4 + 3*c_0110_5^3 - 2/3*c_0110_5^2 + 7/6*c_0110_5 + 1/6, c_0110_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB