Magma V2.19-8 Tue Aug 20 2013 23:38:26 on localhost [Seed = 1613104217] Type ? for help. Type -D to quit. Loading file "K14n21798__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n21798 geometric_solution 9.89737092 oriented_manifold CS_known 0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 0132 0132 0132 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 1 -1 0 0 0 0 0 0 2 0 -2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.638176959094 1.035463729363 0 5 6 3 0132 0132 0132 1302 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 2 0 -2 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 0.356041157078 1.159517020709 7 0 8 6 0132 0132 0132 2031 0 0 0 0 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 -1 1 0 0 0 -1 1 0 1 0 -1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.489532358083 0.601025005756 5 7 1 0 0132 0132 2031 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 0 -1 1 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.497185021714 0.813606506251 8 9 0 7 2310 0132 0132 0132 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 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.489532358083 0.601025005756 3 1 7 9 0132 0132 1230 3120 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 -2 0 2 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.366059852381 0.659130057921 9 2 8 1 2103 1302 3201 0132 0 0 0 0 0 1 -1 0 1 0 -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 -1 1 0 -1 0 1 0 0 0 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.546340879714 0.657907929337 2 3 4 5 0132 0132 0132 3012 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 0 0 0 0 0 0 0 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.638176959094 1.035463729363 6 9 4 2 2310 0321 3201 0132 0 0 0 0 0 0 0 0 1 0 0 -1 1 -1 0 0 1 -1 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 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.506427689894 0.730544894632 5 4 6 8 3120 0132 2103 0321 0 0 0 0 0 0 0 0 0 0 -1 1 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 1 -1 0 1 0 -1 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.710341372325 1.030155022772 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_6'], 'c_1001_6' : d['c_0101_7'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : negation(d['c_0101_1']), 's_2_8' : d['1'], 's_2_9' : 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_2_7' : d['1'], 's_0_8' : d['1'], 's_0_9' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0101_1']), 'c_1100_8' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : negation(d['c_1001_5']), 'c_1100_7' : negation(d['c_1001_5']), 'c_1100_6' : negation(d['c_0011_8']), 'c_1100_1' : negation(d['c_0011_8']), 'c_1100_0' : negation(d['c_1001_5']), 'c_1100_3' : negation(d['c_1001_5']), 'c_1100_2' : negation(d['c_0011_4']), 'c_1010_7' : negation(d['c_0101_0']), 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_1001_2'], '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_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : 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' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : 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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_8']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_2']), 'c_0101_8' : negation(d['c_0101_7']), 'c_0110_9' : negation(d['c_0011_8']), 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0011_8']), 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_2, c_0101_7, c_1001_2, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 18498179/528448*c_1001_5^7 + 803360829/5812928*c_1001_5^6 - 56476927/181654*c_1001_5^5 + 64994493/132112*c_1001_5^4 - 606161533/1453232*c_1001_5^3 - 981335/33028*c_1001_5^2 - 90818727/5812928*c_1001_5 + 459968923/5812928, c_0011_0 - 1, c_0011_4 - 275/718*c_1001_5^7 + 1279/718*c_1001_5^6 - 3485/718*c_1001_5^5 + 6693/718*c_1001_5^4 - 8549/718*c_1001_5^3 + 5969/718*c_1001_5^2 - 1684/359*c_1001_5 + 452/359, c_0011_6 - 649/5744*c_1001_5^7 + 807/5744*c_1001_5^6 + 403/1436*c_1001_5^5 - 622/359*c_1001_5^4 + 1655/359*c_1001_5^3 - 9291/1436*c_1001_5^2 + 15645/5744*c_1001_5 - 4027/5744, c_0011_8 + 4807/2872*c_1001_5^7 - 22041/2872*c_1001_5^6 + 7157/359*c_1001_5^5 - 26021/718*c_1001_5^4 + 30513/718*c_1001_5^3 - 8255/359*c_1001_5^2 + 26577/2872*c_1001_5 - 6511/2872, c_0101_0 + 7161/11488*c_1001_5^7 - 37457/11488*c_1001_5^6 + 13263/1436*c_1001_5^5 - 51873/2872*c_1001_5^4 + 67855/2872*c_1001_5^3 - 24901/1436*c_1001_5^2 + 79191/11488*c_1001_5 - 23743/11488, c_0101_1 + 21131/11488*c_1001_5^7 - 95575/11488*c_1001_5^6 + 7681/359*c_1001_5^5 - 111425/2872*c_1001_5^4 + 128671/2872*c_1001_5^3 - 16711/718*c_1001_5^2 + 113277/11488*c_1001_5 - 26193/11488, c_0101_2 + 2497/11488*c_1001_5^7 - 13053/11488*c_1001_5^6 + 2437/718*c_1001_5^5 - 19431/2872*c_1001_5^4 + 27577/2872*c_1001_5^3 - 2884/359*c_1001_5^2 + 46919/11488*c_1001_5 - 14315/11488, c_0101_7 - 1903/11488*c_1001_5^7 + 7411/11488*c_1001_5^6 - 524/359*c_1001_5^5 + 7341/2872*c_1001_5^4 - 6619/2872*c_1001_5^3 + 201/718*c_1001_5^2 - 6969/11488*c_1001_5 + 149/11488, c_1001_2 + 16731/11488*c_1001_5^7 - 75111/11488*c_1001_5^6 + 11877/718*c_1001_5^5 - 84653/2872*c_1001_5^4 + 94475/2872*c_1001_5^3 - 5371/359*c_1001_5^2 + 59389/11488*c_1001_5 - 11729/11488, c_1001_5^8 - 56/11*c_1001_5^7 + 157/11*c_1001_5^6 - 28*c_1001_5^5 + 408/11*c_1001_5^4 - 28*c_1001_5^3 + 157/11*c_1001_5^2 - 56/11*c_1001_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.300 seconds, Total memory usage: 32.09MB