Magma V2.19-8 Tue Aug 20 2013 16:16:56 on localhost [Seed = 3734979086] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1191 geometric_solution 5.07781136 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.667770650879 0.171309374546 0 3 0 3 0132 0132 1023 1023 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 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 0.594949572120 0.360450567405 4 0 4 0 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.594949572120 0.360450567405 5 1 6 1 0132 0132 0132 1023 0 0 0 0 0 0 0 0 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 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 1.774889966499 1.428767927684 2 5 2 6 0132 2310 1023 2310 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 -1 1 0 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 1.774889966499 1.428767927684 3 5 5 4 0132 3201 2310 3201 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 -0.167864435352 0.741101077665 4 6 6 3 3201 1230 3012 0132 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 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 0.279907416627 0.565237192615 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : 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' : negation(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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_6'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0011_6'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_6']), 'c_1100_0' : d['c_0011_6'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : negation(d['c_0011_6']), 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_0']), '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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : negation(d['c_0011_6']), '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_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0101_4']})} 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_6, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 3295449800725/704139744336*c_0101_4^8 + 5911056976795/352069872168*c_0101_4^7 + 17981092320199/704139744336*c_0101_4^6 + 6216328884793/352069872168*c_0101_4^5 + 91619083653/117356624056*c_0101_4^4 - 1229761070761/704139744336*c_0101_4^3 + 1001878944131/88017468042*c_0101_4^2 + 633360950855/50295696024*c_0101_4 + 2591692146287/704139744336, c_0011_0 - 1, c_0011_6 + 148509775/128305347*c_0101_4^8 + 364305110/128305347*c_0101_4^7 + 476720896/128305347*c_0101_4^6 + 333202289/128305347*c_0101_4^5 + 49332374/42768449*c_0101_4^4 + 56513654/128305347*c_0101_4^3 + 106553461/128305347*c_0101_4^2 - 107461901/128305347*c_0101_4 + 13555523/128305347, c_0101_0 - c_0101_4, c_0101_1 + 177163075/128305347*c_0101_4^8 + 364485605/128305347*c_0101_4^7 + 471018373/128305347*c_0101_4^6 + 399597188/128305347*c_0101_4^5 + 95603304/42768449*c_0101_4^4 + 344304854/128305347*c_0101_4^3 + 180119482/128305347*c_0101_4^2 - 107948753/128305347*c_0101_4 + 103369670/128305347, c_0101_2 - 175116200/128305347*c_0101_4^8 - 625327405/128305347*c_0101_4^7 - 1053955043/128305347*c_0101_4^6 - 1065568390/128305347*c_0101_4^5 - 194977744/42768449*c_0101_4^4 - 152539435/128305347*c_0101_4^3 - 88897565/128305347*c_0101_4^2 + 591412/128305347*c_0101_4 - 8681629/128305347, c_0101_3 + 2861150/128305347*c_0101_4^8 - 93462815/128305347*c_0101_4^7 - 234724339/128305347*c_0101_4^6 - 362307680/128305347*c_0101_4^5 - 125907961/42768449*c_0101_4^4 - 386507870/128305347*c_0101_4^3 - 271635520/128305347*c_0101_4^2 - 207087205/128305347*c_0101_4 + 49162666/128305347, c_0101_4^9 + 17/5*c_0101_4^8 + 131/25*c_0101_4^7 + 109/25*c_0101_4^6 + 8/5*c_0101_4^5 + 1/5*c_0101_4^4 + 17/25*c_0101_4^3 - 1/5*c_0101_4 + 7/25 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB