Magma V2.19-8 Tue Aug 20 2013 16:14:08 on localhost [Seed = 223121706] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s091 geometric_solution 3.91960216 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 1 0 0 0132 2310 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.360059324909 0.175914337128 0 2 2 0 0132 0132 3201 3201 0 0 0 0 0 -1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.910372974488 0.532013164301 1 1 3 3 2310 0132 0132 3201 0 0 0 0 0 1 -1 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 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 0.210645766313 0.316332608591 4 2 5 2 0132 2310 0132 0132 0 0 0 0 0 0 -1 1 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 -1 1 0 0 -1 1 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.423681313017 0.918744021185 3 5 5 5 0132 1230 0213 2310 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 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.535953425398 0.837353261298 4 4 4 3 3201 0213 3012 0132 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 -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 0.535953425398 0.837353261298 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_5'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), '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' : d['c_0011_0'], 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : d['c_0011_3'], 'c_1001_1' : negation(d['c_0011_5']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_5'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_3'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0011_5']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 844732100/143521567*c_0101_3^11 - 1768306317/20503081*c_0101_3^10 - 61409829623/143521567*c_0101_3^9 - 96586804402/143521567*c_0101_3^8 + 12770849185/20503081*c_0101_3^7 + 263831483445/143521567*c_0101_3^6 - 81042833485/143521567*c_0101_3^5 - 121167450108/143521567*c_0101_3^4 + 25495783478/143521567*c_0101_3^3 - 12241084249/143521567*c_0101_3^2 + 1649659194/143521567*c_0101_3 + 5855446102/143521567, c_0011_0 - 1, c_0011_3 + 20680757/143521567*c_0101_3^11 + 46192050/20503081*c_0101_3^10 + 1816512354/143521567*c_0101_3^9 + 4082770249/143521567*c_0101_3^8 + 211594454/20503081*c_0101_3^7 - 5637005844/143521567*c_0101_3^6 - 3455392051/143521567*c_0101_3^5 + 668608991/143521567*c_0101_3^4 + 146440079/143521567*c_0101_3^3 + 326865447/143521567*c_0101_3^2 + 359469982/143521567*c_0101_3 - 15464511/143521567, c_0011_5 - 946502/143521567*c_0101_3^11 - 274731/20503081*c_0101_3^10 + 106869220/143521567*c_0101_3^9 + 776213318/143521567*c_0101_3^8 + 229320798/20503081*c_0101_3^7 - 464286575/143521567*c_0101_3^6 - 3238283380/143521567*c_0101_3^5 + 423836809/143521567*c_0101_3^4 + 545284160/143521567*c_0101_3^3 - 263025893/143521567*c_0101_3^2 + 360057679/143521567*c_0101_3 + 37884011/143521567, c_0101_0 - 10817782/20503081*c_0101_3^11 - 160823184/20503081*c_0101_3^10 - 823047333/20503081*c_0101_3^9 - 1447635036/20503081*c_0101_3^8 + 648240498/20503081*c_0101_3^7 + 3135682615/20503081*c_0101_3^6 - 412029906/20503081*c_0101_3^5 - 1055381545/20503081*c_0101_3^4 + 286807995/20503081*c_0101_3^3 - 168327840/20503081*c_0101_3^2 - 16238073/20503081*c_0101_3 + 31239846/20503081, c_0101_1 - 38431345/143521567*c_0101_3^11 - 79135048/20503081*c_0101_3^10 - 2659030781/143521567*c_0101_3^9 - 3724178915/143521567*c_0101_3^8 + 734335537/20503081*c_0101_3^7 + 11170449149/143521567*c_0101_3^6 - 6155385830/143521567*c_0101_3^5 - 4312681386/143521567*c_0101_3^4 + 1944373335/143521567*c_0101_3^3 - 1346066926/143521567*c_0101_3^2 + 349480758/143521567*c_0101_3 + 254331568/143521567, c_0101_3^12 + 15*c_0101_3^11 + 78*c_0101_3^10 + 143*c_0101_3^9 - 47*c_0101_3^8 - 307*c_0101_3^7 + 117*c_0101_3^5 - 10*c_0101_3^4 + 13*c_0101_3^3 + 4*c_0101_3^2 - 5*c_0101_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB