Magma V2.19-8 Tue Aug 20 2013 16:18:38 on localhost [Seed = 1259001466] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2809 geometric_solution 6.03626563 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 3201 0132 0 0 0 0 0 1 -1 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 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 0.888479927886 0.634493996437 0 4 3 5 0132 0132 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.131956778558 0.884164100537 0 0 2 2 2310 0132 1230 3012 0 0 0 0 0 -1 1 0 1 0 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 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 1.649878030565 0.409540620312 1 5 0 6 2310 1023 0132 0132 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 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 0.131956778558 0.884164100537 6 1 6 6 3201 0132 0213 1230 0 1 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 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 0.439589535078 0.651381424098 3 5 1 5 1023 2310 0132 3201 0 0 0 0 0 -1 0 1 -1 0 0 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 -1 0 1 -1 0 0 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 -0.165119607180 1.106368543991 4 4 3 4 3012 0213 0132 2310 0 0 1 0 0 0 1 -1 0 0 0 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 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 0.439589535078 0.651381424098 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : 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' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_0'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_6']), 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0101_0']), 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0101_1'], '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_3'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], '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_1001_5' : d['c_0110_5'], 'c_1001_4' : d['c_0110_5'], 'c_1001_6' : d['c_0110_5'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_1']), 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_6'], 'c_0110_6' : negation(d['c_0011_6']), 'c_1010_6' : negation(d['c_0011_6']), 'c_1010_5' : negation(d['c_0110_5']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0110_5'], 'c_1010_0' : d['c_0101_0']})} 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_3, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 3266340693/23529280*c_0110_5^8 - 6388092687/11764640*c_0110_5^7 - 3755373359/5882320*c_0110_5^6 - 4209808641/23529280*c_0110_5^5 + 9924721169/23529280*c_0110_5^4 + 7504297701/11764640*c_0110_5^3 + 2887272761/4705856*c_0110_5^2 + 6243841761/11764640*c_0110_5 + 2951588791/23529280, c_0011_0 - 1, c_0011_3 + 591178/367645*c_0110_5^8 + 2221379/367645*c_0110_5^7 + 2252011/367645*c_0110_5^6 + 60691/367645*c_0110_5^5 - 2034484/367645*c_0110_5^4 - 2630317/367645*c_0110_5^3 - 419677/73529*c_0110_5^2 - 1580592/367645*c_0110_5 - 79531/367645, c_0011_6 - 1, c_0101_0 + 979349/367645*c_0110_5^8 + 3669132/367645*c_0110_5^7 + 3868713/367645*c_0110_5^6 + 481903/367645*c_0110_5^5 - 3219352/367645*c_0110_5^4 - 3991691/367645*c_0110_5^3 - 763037/73529*c_0110_5^2 - 3267776/367645*c_0110_5 - 219438/367645, c_0101_1 + c_0110_5 + 1, c_0101_2 - 2423848/367645*c_0110_5^8 - 9454559/367645*c_0110_5^7 - 10825131/367645*c_0110_5^6 - 2328706/367645*c_0110_5^5 + 7764004/367645*c_0110_5^4 + 10665312/367645*c_0110_5^3 + 1957473/73529*c_0110_5^2 + 8738532/367645*c_0110_5 + 1412751/367645, c_0110_5^9 + 29/7*c_0110_5^8 + 38/7*c_0110_5^7 + 15/7*c_0110_5^6 - 20/7*c_0110_5^5 - 37/7*c_0110_5^4 - 37/7*c_0110_5^3 - 33/7*c_0110_5^2 - 11/7*c_0110_5 - 1/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB