Magma V2.19-8 Tue Aug 20 2013 18:07:35 on localhost [Seed = 3684327727] Type ? for help. Type -D to quit. Loading file "10_102__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 10_102 geometric_solution 13.72734330 oriented_manifold CS_known 0.0000000000000007 1 0 torus 0.000000000000 0.000000000000 15 1 2 1 3 0132 0132 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 -1 0 1 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 0.583123089326 0.900488591652 0 0 5 4 0132 1230 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.423368821791 0.914511656372 6 0 8 7 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 1 0 -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 0.574696829467 0.420963165974 9 8 0 8 0132 0132 0132 1230 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 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 0.463441049679 0.434198098312 10 10 1 11 0132 1302 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.482792794771 0.558419661601 11 6 11 1 1230 2310 2031 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 1 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 0.671749024228 0.704397316602 2 7 12 5 0132 2103 0132 3201 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.497367573531 1.075616521988 13 6 2 12 0132 2103 0132 3201 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 -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 1.264071149814 1.213891832759 3 3 10 2 3012 0132 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 -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 1.126222688659 0.911370035668 3 13 13 14 0132 2103 1023 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 0 0 0 0 0 0 0 0 0 0 0 -1 3 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.061699070881 1.031949034158 4 8 14 4 0132 1230 0213 2031 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 0 0 0.892758905750 0.963896328203 14 5 4 5 0213 3012 0132 1302 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.616384953736 1.177193826606 13 7 14 6 3120 2310 2031 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 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.240787990127 0.986230108205 7 9 9 12 0132 2103 1023 3120 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 0 0 0 0 0 0 0 0 0 0 0 1 -3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.061699070881 1.031949034158 11 10 9 12 0213 0213 0132 1302 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 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 -0.595374828747 1.000879698182 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_14' : d['c_0011_12'], 'c_1001_11' : negation(d['c_0011_5']), 'c_1001_10' : d['c_0011_12'], 'c_1001_13' : negation(d['c_0011_3']), 'c_1001_12' : d['c_0110_11'], 'c_1001_5' : negation(d['c_0110_11']), 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : d['c_0011_0'], 'c_1001_6' : negation(d['c_0011_13']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_13'], 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_13' : negation(d['c_0011_12']), 'c_1010_12' : negation(d['c_0011_13']), 'c_1010_11' : negation(d['c_0101_5']), 'c_1010_10' : negation(d['c_0011_10']), 'c_1010_14' : d['c_0011_5'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_0_14' : d['1'], 's_3_14' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_14'], 'c_0101_10' : d['c_0011_14'], 'c_0101_14' : d['c_0011_11'], '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_12' : d['1'], 's_2_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_2_14' : 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_14' : d['c_0011_14'], 'c_1100_9' : d['c_0101_12'], 'c_1100_8' : negation(d['c_0011_12']), 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : d['c_0101_5'], 'c_1100_7' : negation(d['c_0011_12']), 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_0011_12']), 'c_1100_14' : d['c_0101_12'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_5'], 'c_1100_10' : d['c_0011_5'], 'c_1100_13' : negation(d['c_0101_12']), 's_3_10' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : negation(d['c_0110_11']), 'c_1010_6' : d['c_0110_11'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : negation(d['c_0011_10']), 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_12'], 'c_1010_8' : d['c_1001_2'], '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'], 'c_1100_12' : negation(d['c_0011_5']), '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_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0101_13' : d['c_0011_13'], 'c_0011_6' : d['c_0011_0'], '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' : d['c_0110_11'], 'c_0110_10' : d['c_0101_0'], 'c_0110_13' : d['c_0101_6'], 'c_0110_12' : d['c_0101_6'], 'c_0110_14' : negation(d['c_0110_11']), 's_0_13' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0011_7' : negation(d['c_0011_13']), 'c_0110_0' : d['c_0011_11'], 's_0_8' : d['1'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_11'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_11'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_3']), 'c_0101_8' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : negation(d['c_0011_3']), 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0011_11'], 'c_0110_4' : d['c_0011_14'], 'c_0110_7' : d['c_0011_13'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 16 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_13, c_0011_14, c_0011_3, c_0011_5, c_0101_0, c_0101_12, c_0101_2, c_0101_5, c_0101_6, c_0110_11, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 1201/11*c_1001_2^6 + 1830/11*c_1001_2^5 - 1678/11*c_1001_2^4 - 416*c_1001_2^3 + 4506/11*c_1001_2^2 + 3524/11*c_1001_2 - 2952/11, c_0011_0 - 1, c_0011_10 + 41/4*c_1001_2^6 + 8*c_1001_2^5 - 13/4*c_1001_2^4 + 117/2*c_1001_2^3 + 133/2*c_1001_2^2 - 145/4*c_1001_2 - 99/2, c_0011_11 - 17/4*c_1001_2^6 - 3*c_1001_2^5 + 5/4*c_1001_2^4 - 49/2*c_1001_2^3 - 51/2*c_1001_2^2 + 61/4*c_1001_2 + 37/2, c_0011_12 - 31/4*c_1001_2^6 - 6*c_1001_2^5 + 11/4*c_1001_2^4 - 89/2*c_1001_2^3 - 99/2*c_1001_2^2 + 115/4*c_1001_2 + 75/2, c_0011_13 - 9/2*c_1001_2^6 - 7/2*c_1001_2^5 + 3/2*c_1001_2^4 - 51/2*c_1001_2^3 - 29*c_1001_2^2 + 33/2*c_1001_2 + 45/2, c_0011_14 - 14*c_1001_2^6 - 12*c_1001_2^5 + 5*c_1001_2^4 - 80*c_1001_2^3 - 97*c_1001_2^2 + 50*c_1001_2 + 72, c_0011_3 + 31/4*c_1001_2^6 + 6*c_1001_2^5 - 11/4*c_1001_2^4 + 89/2*c_1001_2^3 + 99/2*c_1001_2^2 - 115/4*c_1001_2 - 73/2, c_0011_5 + 37/4*c_1001_2^6 + 15/2*c_1001_2^5 - 13/4*c_1001_2^4 + 53*c_1001_2^3 + 123/2*c_1001_2^2 - 133/4*c_1001_2 - 45, c_0101_0 - 19/4*c_1001_2^6 - 9/2*c_1001_2^5 + 7/4*c_1001_2^4 - 27*c_1001_2^3 - 71/2*c_1001_2^2 + 67/4*c_1001_2 + 26, c_0101_12 + 5/4*c_1001_2^6 + 3/2*c_1001_2^5 - 1/4*c_1001_2^4 + 7*c_1001_2^3 + 23/2*c_1001_2^2 - 13/4*c_1001_2 - 8, c_0101_2 - 1/4*c_1001_2^6 + 1/4*c_1001_2^4 - 3/2*c_1001_2^3 - 1/2*c_1001_2^2 + 5/4*c_1001_2 + 1/2, c_0101_5 + 7/2*c_1001_2^6 + 5/2*c_1001_2^5 - 3/2*c_1001_2^4 + 41/2*c_1001_2^3 + 21*c_1001_2^2 - 29/2*c_1001_2 - 29/2, c_0101_6 + 37/4*c_1001_2^6 + 15/2*c_1001_2^5 - 13/4*c_1001_2^4 + 53*c_1001_2^3 + 123/2*c_1001_2^2 - 137/4*c_1001_2 - 46, c_0110_11 - 19/4*c_1001_2^6 - 9/2*c_1001_2^5 + 7/4*c_1001_2^4 - 27*c_1001_2^3 - 71/2*c_1001_2^2 + 67/4*c_1001_2 + 27, c_1001_2^7 - c_1001_2^5 + 6*c_1001_2^4 + 2*c_1001_2^3 - 9*c_1001_2^2 - 2*c_1001_2 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 108.610 Total time: 108.819 seconds, Total memory usage: 599.06MB