Magma V2.19-8 Tue Aug 20 2013 16:16:03 on localhost [Seed = 172725964] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0298 geometric_solution 4.34049697 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 2310 1023 3201 0 0 0 0 0 1 0 -1 0 0 1 -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 0 -1 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 0.716836524815 0.049400387309 0 2 0 2 0132 0132 1023 1023 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 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 0.469857405187 0.170013284083 3 1 3 1 0132 0132 2310 1023 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 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 -0.794524370392 3.928558017452 2 2 5 4 0132 3201 0132 0132 0 0 0 0 0 1 0 -1 -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 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.160911409741 0.455303576888 6 5 3 5 0132 3012 0132 1302 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.879986067767 0.833852427596 4 6 4 3 1230 2310 2031 0132 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 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 0.879986067767 0.833852427596 4 6 6 5 0132 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.401241859365 0.567367992971 ==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' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(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' : d['1'], 's_2_6' : 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' : negation(d['1']), 's_0_6' : 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_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : d['c_0101_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_2'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_4'], 'c_1010_0' : negation(d['c_0101_1'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 418808/777059*c_0101_6^10 + 685176/777059*c_0101_6^9 + 34657538/777059*c_0101_6^8 + 63472240/777059*c_0101_6^7 - 9074060/777059*c_0101_6^6 - 132856792/777059*c_0101_6^5 - 148230043/777059*c_0101_6^4 + 20618165/777059*c_0101_6^3 + 100853508/777059*c_0101_6^2 + 471953/8731*c_0101_6 + 22748678/777059, c_0011_0 - 1, c_0011_4 + 201203/777059*c_0101_2*c_0101_6^10 - 1779698/777059*c_0101_2*c_0101_6^9 - 3771868/777059*c_0101_2*c_0101_6^8 - 2066601/777059*c_0101_2*c_0101_6^7 + 3549652/777059*c_0101_2*c_0101_6^6 + 7781087/777059*c_0101_2*c_0101_6^5 + 3141531/777059*c_0101_2*c_0101_6^4 + 1675445/777059*c_0101_2*c_0101_6^3 - 775589/777059*c_0101_2*c_0101_6^2 - 7752/8731*c_0101_2*c_0101_6 + 192318/777059*c_0101_2, c_0101_0 + 489823/777059*c_0101_2*c_0101_6^10 - 4600725/777059*c_0101_2*c_0101_6^9 - 7287155/777059*c_0101_2*c_0101_6^8 + 4261776/777059*c_0101_2*c_0101_6^7 + 19830840/777059*c_0101_2*c_0101_6^6 + 17954460/777059*c_0101_2*c_0101_6^5 - 11224316/777059*c_0101_2*c_0101_6^4 - 16982537/777059*c_0101_2*c_0101_6^3 - 8496621/777059*c_0101_2*c_0101_6^2 - 45973/8731*c_0101_2*c_0101_6 + 836877/777059*c_0101_2, c_0101_1 + 1818741/777059*c_0101_2*c_0101_6^10 - 16868027/777059*c_0101_2*c_0101_6^9 - 28389528/777059*c_0101_2*c_0101_6^8 + 6793124/777059*c_0101_2*c_0101_6^7 + 60792898/777059*c_0101_2*c_0101_6^6 + 63179681/777059*c_0101_2*c_0101_6^5 - 24920187/777059*c_0101_2*c_0101_6^4 - 36515029/777059*c_0101_2*c_0101_6^3 - 16715759/777059*c_0101_2*c_0101_6^2 - 86975/8731*c_0101_2*c_0101_6 + 1277072/777059*c_0101_2, c_0101_2^2 + 163115/777059*c_0101_6^10 - 1569992/777059*c_0101_6^9 - 1979695/777059*c_0101_6^8 + 1170476/777059*c_0101_6^7 + 4562462/777059*c_0101_6^6 + 4584064/777059*c_0101_6^5 - 3108201/777059*c_0101_6^4 - 2561985/777059*c_0101_6^3 - 462453/777059*c_0101_6^2 - 7053/8731*c_0101_6 - 268892/777059, c_0101_5 - 98818/777059*c_0101_6^10 + 953659/777059*c_0101_6^9 + 1162391/777059*c_0101_6^8 - 619668/777059*c_0101_6^7 - 2611368/777059*c_0101_6^6 - 2495716/777059*c_0101_6^5 + 1890712/777059*c_0101_6^4 + 561235/777059*c_0101_6^3 - 222026/777059*c_0101_6^2 + 5633/8731*c_0101_6 + 170074/777059, c_0101_6^11 - 9*c_0101_6^10 - 18*c_0101_6^9 - 2*c_0101_6^8 + 32*c_0101_6^7 + 45*c_0101_6^6 + 2*c_0101_6^5 - 18*c_0101_6^4 - 18*c_0101_6^3 - 12*c_0101_6^2 - 3*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB