Magma V2.19-8 Tue Aug 20 2013 23:29:47 on localhost [Seed = 1443901446] Type ? for help. Type -D to quit. Loading file "K14n15962__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n15962 geometric_solution 7.96493994 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 9 1 2 3 4 0132 0132 0132 0132 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 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.352225228148 0.407602389167 0 3 6 5 0132 1230 0132 0132 0 0 0 0 0 0 1 -1 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 4 -4 0 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.734763179930 0.574756942859 7 0 6 4 0132 0132 0213 1023 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 4 -4 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 0.332956314163 0.687621876497 7 8 1 0 3120 0132 3012 0132 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 1 0 -1 0 0 0 0 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.412867398713 0.818227033537 6 5 0 2 0132 2031 0132 1023 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.440205900394 0.884937675842 4 7 1 8 1302 0213 0132 2310 0 0 0 0 0 0 1 -1 0 0 0 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 4 -4 0 0 0 0 -3 0 0 3 -1 4 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.049670265025 0.886425287618 4 2 8 1 0132 0213 1023 0132 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 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 0.889015687701 0.418174322166 2 8 5 3 0132 1302 0213 3120 0 0 0 0 0 -1 0 1 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 -3 0 3 0 0 0 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 0.936984016199 1.124595601353 5 3 6 7 3201 0132 1023 2031 0 0 0 0 0 0 0 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 -1 0 1 -3 0 0 3 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.064530019218 0.614164166045 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_8'], 'c_1001_7' : d['c_0101_3'], 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_6'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_0101_8'], 'c_1001_8' : d['c_0101_6'], 's_2_8' : 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' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : negation(d['1']), 's_0_8' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : 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_8' : d['c_0011_3'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_1001_1']), 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : d['c_1001_1'], 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_0101_6'], 'c_1010_2' : d['c_0101_6'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : d['c_0101_8'], 'c_1010_8' : d['c_0011_0'], 's_3_1' : negation(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_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(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_8' : d['1'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_4']), '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_0011_5'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_4']), 'c_0101_8' : d['c_0101_8'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : negation(d['c_0011_4']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : negation(d['c_0101_8']), 'c_0110_4' : d['c_0101_6'], 'c_0110_7' : negation(d['c_0011_4']), 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_5, c_0101_1, c_0101_3, c_0101_6, c_0101_8, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 14188879411573/47697156622080*c_1001_1^10 + 3495399538121/5299684069120*c_1001_1^9 + 1450815346599/757097724160*c_1001_1^8 - 11005860056209/4769715662208*c_1001_1^7 - 3486231296861/529968406912*c_1001_1^6 + 495304516387/186317018055*c_1001_1^5 + 25373821298123/1987381525920*c_1001_1^4 - 52669476178439/2384857831104*c_1001_1^3 + 911498125163/224986587840*c_1001_1^2 + 154106870555839/11924289155520*c_1001_1 - 10926500478623/11924289155520, c_0011_0 - 1, c_0011_3 + 175175/7048452*c_1001_1^10 + 257293/7048452*c_1001_1^9 + 207620/1762113*c_1001_1^8 - 2180167/7048452*c_1001_1^7 - 3013823/7048452*c_1001_1^6 + 1050592/1762113*c_1001_1^5 + 1105010/1762113*c_1001_1^4 - 5013094/1762113*c_1001_1^3 + 2401199/1174742*c_1001_1^2 + 2353850/1762113*c_1001_1 - 817914/587371, c_0011_4 - 190807/3524226*c_1001_1^10 - 176623/2349484*c_1001_1^9 - 139303/587371*c_1001_1^8 + 2691031/3524226*c_1001_1^7 + 2353473/2349484*c_1001_1^6 - 2263193/1762113*c_1001_1^5 - 1207667/587371*c_1001_1^4 + 21392581/3524226*c_1001_1^3 - 12042631/3524226*c_1001_1^2 - 4746305/1762113*c_1001_1 + 1644301/1762113, c_0011_5 - 165301/3524226*c_1001_1^10 - 139879/1174742*c_1001_1^9 - 189329/587371*c_1001_1^8 + 469724/1762113*c_1001_1^7 + 1334043/1174742*c_1001_1^6 - 981848/1762113*c_1001_1^5 - 3237591/1174742*c_1001_1^4 + 4970042/1762113*c_1001_1^3 + 2410705/1762113*c_1001_1^2 - 5809886/1762113*c_1001_1 + 2288578/1762113, c_0101_1 - 103180/1762113*c_1001_1^10 - 291999/2349484*c_1001_1^9 - 624709/1762113*c_1001_1^8 + 1784693/3524226*c_1001_1^7 + 9268163/7048452*c_1001_1^6 - 461900/587371*c_1001_1^5 - 9253955/3524226*c_1001_1^4 + 15565475/3524226*c_1001_1^3 - 3586387/3524226*c_1001_1^2 - 2136898/587371*c_1001_1 + 464423/587371, c_0101_3 + 117583/1174742*c_1001_1^10 + 1792973/7048452*c_1001_1^9 + 869731/1174742*c_1001_1^8 - 1708091/3524226*c_1001_1^7 - 15676655/7048452*c_1001_1^6 + 986599/3524226*c_1001_1^5 + 2402725/587371*c_1001_1^4 - 21513017/3524226*c_1001_1^3 + 27701/3524226*c_1001_1^2 + 7503163/1762113*c_1001_1 - 169912/587371, c_0101_6 - 61145/1174742*c_1001_1^10 - 978821/7048452*c_1001_1^9 - 1259851/3524226*c_1001_1^8 + 1196009/3524226*c_1001_1^7 + 3748477/2349484*c_1001_1^6 + 28403/1174742*c_1001_1^5 - 5427119/1762113*c_1001_1^4 + 9185819/3524226*c_1001_1^3 + 2597355/1174742*c_1001_1^2 - 6032249/1762113*c_1001_1 - 125038/1762113, c_0101_8 + 1, c_1001_1^11 + 2*c_1001_1^10 + 6*c_1001_1^9 - 9*c_1001_1^8 - 20*c_1001_1^7 + 14*c_1001_1^6 + 40*c_1001_1^5 - 84*c_1001_1^4 + 32*c_1001_1^3 + 40*c_1001_1^2 - 16*c_1001_1 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB