Magma V2.19-8 Tue Aug 20 2013 23:41:29 on localhost [Seed = 3667705448] Type ? for help. Type -D to quit. Loading file "K12n577__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n577 geometric_solution 10.23365367 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 12 1 1 2 3 0132 0213 0132 0132 0 0 0 0 0 0 -1 1 1 0 -1 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 -1 5 -4 -4 0 4 0 0 4 0 -4 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.388303116280 1.281758554058 0 4 0 5 0132 0132 0213 0132 0 0 0 0 0 0 0 0 -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 0 1 -1 4 0 -4 0 -5 0 0 5 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.783516466047 0.714595401952 6 3 7 0 0132 0132 0132 0132 0 0 0 0 0 0 -1 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 0 5 -5 0 0 4 -4 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.131562431988 0.458703202505 8 2 0 9 0132 0132 0132 0132 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 4 -4 5 0 0 -5 0 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.085055982950 1.062697986676 8 1 9 5 3012 0132 3012 0213 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 -5 5 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.465277133588 0.540414565149 6 7 1 4 2103 2103 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 -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 -1 1 0 0 0 0 0 5 -5 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.900315546991 0.475540948344 2 10 5 11 0132 0132 2103 0132 0 0 0 0 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 5 -5 0 0 0 0 0 1 -5 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.445936909101 2.025618999018 11 5 10 2 1023 2103 1023 0132 0 0 0 0 0 -1 0 1 -1 0 0 1 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 5 0 -5 4 0 0 -4 0 1 0 -1 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.892612032376 1.218945607370 3 10 11 4 0132 1023 0132 1230 0 0 0 0 0 -1 1 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 4 -4 0 -5 0 0 5 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.592059784754 1.834069777557 11 4 3 10 0132 1230 0132 1023 0 0 0 0 0 0 -1 1 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 4 -4 0 0 5 -5 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.821695671770 0.764362826964 8 6 7 9 1023 0132 1023 1023 0 0 0 0 0 1 0 -1 1 0 0 -1 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 -5 0 5 -4 0 0 4 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.310217888682 0.381531585778 9 7 6 8 0132 1023 0132 0132 0 0 0 0 0 1 0 -1 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 -4 0 4 0 0 0 0 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.310217888682 0.381531585778 ==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_7'], 'c_1001_5' : d['c_0011_11'], 'c_1001_4' : d['c_0011_11'], 'c_1001_7' : d['c_0011_5'], 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_0'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_2'], 'c_1001_8' : d['c_0011_5'], 'c_1010_11' : d['c_0011_5'], 'c_1010_10' : d['c_0011_5'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_5'], 'c_0101_10' : d['c_0011_5'], '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_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' : 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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1001_0'], 'c_1100_4' : negation(d['c_1001_2']), 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_0110_4'], 'c_1100_1' : d['c_1001_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0110_4'], 'c_1100_10' : negation(d['c_1100_0']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0101_7'], 'c_1010_5' : negation(d['c_1001_2']), 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_2'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_11'], 'c_1010_0' : d['c_1001_0'], 'c_1010_9' : d['c_0101_4'], 'c_1010_8' : d['c_0101_4'], 'c_1100_8' : d['c_0110_4'], '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' : negation(d['c_0011_11']), 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_11'], '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' : d['c_0011_10'], 'c_0110_11' : d['c_0101_8'], 'c_0110_10' : d['c_0101_4'], 'c_0110_0' : d['c_0011_0'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_5'], 'c_0110_8' : d['c_0011_0'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_0'], 'c_0110_3' : d['c_0101_8'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0110_4']), 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0011_5'], 'c_0110_6' : d['c_0011_5']})} 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_11, c_0011_5, c_0101_0, c_0101_4, c_0101_7, c_0101_8, c_0110_4, c_1001_0, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 1215/28*c_1100_0^3 - 243/28*c_1100_0, c_0011_0 - 1, c_0011_10 - c_1100_0^2 - c_1100_0, c_0011_11 - c_1100_0, c_0011_5 + 1/2*c_1100_0^2 - 1/2, c_0101_0 + 3/2*c_1100_0^2 - 1/2, c_0101_4 + 1/2*c_1100_0^2 - c_1100_0 - 1/2, c_0101_7 - c_1100_0^2, c_0101_8 + 1/2*c_1100_0^2 + c_1100_0 - 1/2, c_0110_4 - c_1100_0^2 + c_1100_0, c_1001_0 - 3/2*c_1100_0^3 + 1/2*c_1100_0, c_1001_2 + 1/2*c_1100_0^2 - 1/2, c_1100_0^4 + 1/3 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_5, c_0101_0, c_0101_4, c_0101_7, c_0101_8, c_0110_4, c_1001_0, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 305/2*c_1100_0^3 - 646*c_1100_0, c_0011_0 - 1, c_0011_10 - c_1100_0 - 1, c_0011_11 - c_1100_0, c_0011_5 + 1/2*c_1100_0^2 + 1/2, c_0101_0 + 1/2*c_1100_0^2 - 1/2, c_0101_4 + 1/2*c_1100_0^2 + c_1100_0 + 1/2, c_0101_7 + 1, c_0101_8 + 1/2*c_1100_0^2 - c_1100_0 + 1/2, c_0110_4 + c_1100_0 - 1, c_1001_0 + 1/2*c_1100_0^3 + 3/2*c_1100_0, c_1001_2 + 1/2*c_1100_0^2 + 1/2, c_1100_0^4 + 4*c_1100_0^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.190 Total time: 0.410 seconds, Total memory usage: 32.09MB