Magma V2.19-8 Tue Aug 20 2013 16:16:58 on localhost [Seed = 2648441166] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1217 geometric_solution 5.11484146 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 3 0132 0132 3012 0132 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 0 0 0 0 0 -1 0 1 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 0.987004947908 0.420754285777 0 0 5 4 0132 1230 0132 0132 0 0 0 0 0 -1 1 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 1 -1 0 -1 0 1 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 0.073334250156 2.374419111986 4 0 5 4 0321 0132 1023 1023 0 0 0 0 0 0 1 -1 -1 0 0 1 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 -1 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 -0.252015880550 0.707618903247 6 6 0 5 0132 2310 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0.778388870767 0.524086132220 2 5 1 2 0321 3120 0132 1023 0 0 0 0 0 1 0 -1 -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 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.252015880550 0.707618903247 3 4 2 1 3201 3120 1023 0132 0 0 0 0 0 1 0 -1 0 0 -1 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 -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 0.453525392708 0.592386596913 3 6 6 3 0132 3201 2310 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 -0.987330256079 0.301407106954 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_2_0' : negation(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' : negation(d['1']), 's_1_0' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 's_3_6' : d['1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_1100_1']), 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0101_0']), '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_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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_0']), 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_5']), 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_0'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : negation(d['c_0011_4']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : d['c_0101_5']})} 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_4, c_0101_0, c_0101_1, c_0101_5, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 36127585282/6070715313*c_1100_1^10 - 10604392556/2023571771*c_1100_1^9 + 248633489821/6070715313*c_1100_1^8 - 28233337156/466978101*c_1100_1^7 + 783704513266/6070715313*c_1100_1^6 - 1706160920047/6070715313*c_1100_1^5 + 1734253115981/6070715313*c_1100_1^4 - 3341533755115/6070715313*c_1100_1^3 + 1095411988646/2023571771*c_1100_1^2 + 77564281495/2023571771*c_1100_1 - 511478343115/6070715313, c_0011_0 - 1, c_0011_3 + 40499970/155659367*c_1100_1^10 - 24982863/155659367*c_1100_1^9 + 278523313/155659367*c_1100_1^8 - 341946847/155659367*c_1100_1^7 + 834356684/155659367*c_1100_1^6 - 1731101559/155659367*c_1100_1^5 + 1614308821/155659367*c_1100_1^4 - 3533166488/155659367*c_1100_1^3 + 2975054963/155659367*c_1100_1^2 + 570059701/155659367*c_1100_1 - 205445418/155659367, c_0011_4 - 8852583/155659367*c_1100_1^10 + 1983279/155659367*c_1100_1^9 - 63646218/155659367*c_1100_1^8 + 48272004/155659367*c_1100_1^7 - 189541698/155659367*c_1100_1^6 + 304857466/155659367*c_1100_1^5 - 308897513/155659367*c_1100_1^4 + 714453293/155659367*c_1100_1^3 - 386478190/155659367*c_1100_1^2 - 74229918/155659367*c_1100_1 + 136821106/155659367, c_0101_0 + 1128671/155659367*c_1100_1^10 - 3195283/155659367*c_1100_1^9 + 10622728/155659367*c_1100_1^8 - 25487501/155659367*c_1100_1^7 + 59173347/155659367*c_1100_1^6 - 92522585/155659367*c_1100_1^5 + 209982543/155659367*c_1100_1^4 - 217500397/155659367*c_1100_1^3 + 388444804/155659367*c_1100_1^2 - 223936210/155659367*c_1100_1 - 43462283/155659367, c_0101_1 - 2066612/155659367*c_1100_1^10 + 2722031/155659367*c_1100_1^9 - 13072120/155659367*c_1100_1^8 + 33213914/155659367*c_1100_1^7 - 36089035/155659367*c_1100_1^6 + 149034309/155659367*c_1100_1^5 - 105761968/155659367*c_1100_1^4 + 272191691/155659367*c_1100_1^3 - 372823551/155659367*c_1100_1^2 - 28789560/155659367*c_1100_1 - 156788038/155659367, c_0101_5 + 5085214/155659367*c_1100_1^10 + 3479256/155659367*c_1100_1^9 + 28002499/155659367*c_1100_1^8 - 23251/155659367*c_1100_1^7 + 32894628/155659367*c_1100_1^6 - 82454464/155659367*c_1100_1^5 - 115627222/155659367*c_1100_1^4 - 147874947/155659367*c_1100_1^3 - 219910156/155659367*c_1100_1^2 + 697171411/155659367*c_1100_1 + 32543088/155659367, c_1100_1^11 - c_1100_1^10 + 7*c_1100_1^9 - 11*c_1100_1^8 + 23*c_1100_1^7 - 50*c_1100_1^6 + 54*c_1100_1^5 - 99*c_1100_1^4 + 103*c_1100_1^3 - 6*c_1100_1^2 - 13*c_1100_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB