Magma V2.19-8 Tue Aug 20 2013 17:54:57 on localhost [Seed = 2867535128] Type ? for help. Type -D to quit. Loading file "11_233__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_233 geometric_solution 6.72199329 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 8 1 2 3 3 0132 0132 0132 1302 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 9 1 -10 -10 0 10 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 1.374710818722 0.975684329154 0 4 5 5 0132 0132 3012 0132 0 0 0 0 0 0 1 -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 -10 10 10 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.736456912144 0.543688323700 5 0 3 6 0321 0132 3201 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 -9 0 9 10 0 -10 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 0.373678166196 0.558870082548 2 4 0 0 2310 2031 2031 0132 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 10 -10 10 -9 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.141540930370 0.632349875654 3 1 7 6 1302 0132 0132 1230 0 0 0 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 -1 0 0 1 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.954517680923 0.974336793082 2 1 1 6 0321 1230 0132 2031 0 0 0 0 0 -1 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 10 -10 0 0 0 0 0 0 0 0 0 -10 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.721933100376 1.489345064449 4 5 2 7 3012 1302 0132 1230 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 -9 9 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 0.047805633286 1.024107573498 6 7 7 4 3012 3201 2310 0132 0 0 0 0 0 1 -1 0 1 0 -1 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 -9 9 0 -9 0 9 0 0 -9 0 9 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.513061230633 0.523714169051 ==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' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : 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_2_7' : d['1'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : 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_5' : negation(d['c_0101_7']), 'c_1100_4' : d['c_0011_7'], 'c_1100_7' : d['c_0011_7'], 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0101_7']), 'c_1100_0' : d['c_0101_3'], 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0011_6'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], '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_0101_7'], 'c_1001_4' : d['c_0101_7'], 'c_1001_7' : negation(d['c_0101_7']), 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : negation(d['c_0011_5']), 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_6'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_5']), 's_3_0' : d['1'], 'c_0110_4' : d['c_0011_6'], 'c_0110_7' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0011_7'], 'c_1010_7' : d['c_0101_7'], 'c_1010_6' : d['c_0101_7'], 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0101_7'], 'c_1010_0' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 9 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0011_6, c_0011_7, c_0101_0, c_0101_3, c_0101_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 706603826/141838235*c_0101_7^10 - 1056218879/283676470*c_0101_7^9 + 7442438231/283676470*c_0101_7^8 - 17260448111/283676470*c_0101_7^7 - 5435157957/56735294*c_0101_7^6 + 55942772623/283676470*c_0101_7^5 + 21253222779/283676470*c_0101_7^4 - 1102929803/8105042*c_0101_7^3 + 12473028783/283676470*c_0101_7^2 - 955855477/20262605*c_0101_7 + 7074546033/283676470, c_0011_0 - 1, c_0011_3 + 170981/368411*c_0101_7^10 + 205777/368411*c_0101_7^9 - 776370/368411*c_0101_7^8 + 1699706/368411*c_0101_7^7 + 3940312/368411*c_0101_7^6 - 4374616/368411*c_0101_7^5 - 5029508/368411*c_0101_7^4 + 1563438/368411*c_0101_7^3 + 325158/368411*c_0101_7^2 + 1340636/368411*c_0101_7 - 181919/368411, c_0011_5 - 79773/368411*c_0101_7^10 - 98216/368411*c_0101_7^9 + 302765/368411*c_0101_7^8 - 840697/368411*c_0101_7^7 - 1641139/368411*c_0101_7^6 + 1335298/368411*c_0101_7^5 + 1387268/368411*c_0101_7^4 + 415027/368411*c_0101_7^3 + 643060/368411*c_0101_7^2 - 492981/368411*c_0101_7 + 67169/368411, c_0011_6 + 79773/368411*c_0101_7^10 + 98216/368411*c_0101_7^9 - 302765/368411*c_0101_7^8 + 840697/368411*c_0101_7^7 + 1641139/368411*c_0101_7^6 - 1335298/368411*c_0101_7^5 - 1387268/368411*c_0101_7^4 - 415027/368411*c_0101_7^3 - 643060/368411*c_0101_7^2 + 492981/368411*c_0101_7 - 67169/368411, c_0011_7 - 41656/368411*c_0101_7^10 - 58528/368411*c_0101_7^9 + 194975/368411*c_0101_7^8 - 374646/368411*c_0101_7^7 - 1091524/368411*c_0101_7^6 + 1080827/368411*c_0101_7^5 + 1409088/368411*c_0101_7^4 - 223870/368411*c_0101_7^3 - 235293/368411*c_0101_7^2 - 794130/368411*c_0101_7 + 44588/368411, c_0101_0 + 41024/368411*c_0101_7^10 + 80564/368411*c_0101_7^9 - 189399/368411*c_0101_7^8 + 242314/368411*c_0101_7^7 + 1407715/368411*c_0101_7^6 - 869858/368411*c_0101_7^5 - 2434925/368411*c_0101_7^4 + 150994/368411*c_0101_7^3 + 403370/368411*c_0101_7^2 + 862740/368411*c_0101_7 - 55232/368411, c_0101_3 + 100542/368411*c_0101_7^10 + 89898/368411*c_0101_7^9 - 513986/368411*c_0101_7^8 + 1181218/368411*c_0101_7^7 + 2100416/368411*c_0101_7^6 - 3784928/368411*c_0101_7^5 - 1634379/368411*c_0101_7^4 + 2667705/368411*c_0101_7^3 - 1662173/368411*c_0101_7^2 + 774036/368411*c_0101_7 - 218701/368411, c_0101_7^11 + c_0101_7^10 - 5*c_0101_7^9 + 11*c_0101_7^8 + 22*c_0101_7^7 - 34*c_0101_7^6 - 23*c_0101_7^5 + 22*c_0101_7^4 - 4*c_0101_7^3 + 8*c_0101_7^2 - 3*c_0101_7 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB