Magma V2.19-8 Tue Aug 20 2013 17:55:53 on localhost [Seed = 4206578973] Type ? for help. Type -D to quit. Loading file "10^2_127__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_127 geometric_solution 10.41405789 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 3 0132 0132 0132 2031 1 1 1 1 0 0 0 0 0 0 0 0 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 -9 8 0 1 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.038039363737 0.975995420666 0 4 2 5 0132 0132 1023 0132 1 1 1 1 0 0 0 0 0 0 0 0 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 1 -1 -9 0 0 9 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.549729780303 0.777302465041 6 0 1 3 0132 0132 1023 1302 1 1 1 1 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 1 -1 0 0 0 1 -1 0 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.027198795441 1.877738351706 6 0 2 0 2031 1302 2031 0132 1 1 1 1 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 -8 -1 0 9 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.960127040515 1.023040925038 7 1 7 8 0132 0132 0321 0132 1 1 1 1 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 0 0 0 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.459876545452 0.562364033337 9 9 1 10 0132 1230 0132 0132 1 1 0 1 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 -1 0 -1 0 1 0 0 1 0 -1 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.459876545452 0.562364033337 2 7 3 10 0132 0132 1302 1023 1 1 1 1 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 0 0 0 0 0 0 -8 0 0 8 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.549729780303 0.777302465041 4 6 4 9 0132 0132 0321 1023 1 1 1 1 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 0 0 0 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.459876545452 0.562364033337 9 10 4 10 1230 0132 0132 1230 1 1 0 1 0 0 0 0 -1 0 0 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 8 0 0 -8 -1 3 0 -2 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.128592167806 1.065608646583 5 8 5 7 0132 3012 3012 1023 1 1 1 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 9 -9 0 1 0 -1 0 0 -8 0 8 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.128592167806 1.065608646583 8 8 5 6 3012 0132 0132 1023 1 1 1 0 0 0 0 0 0 0 0 0 -1 0 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 8 0 0 -8 2 -3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.459876545452 0.562364033337 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_10'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0110_10'], 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_3'], 'c_1001_2' : d['c_0011_3'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_0101_2'], 'c_1010_10' : d['c_0101_2'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_10' : d['c_0101_10'], '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' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : negation(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_1001_4']), 'c_1100_8' : d['c_0110_10'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : d['c_0110_10'], 'c_1100_7' : d['c_1001_4'], 'c_1100_6' : d['c_0101_3'], 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_1001_0']), 'c_1100_3' : negation(d['c_1001_0']), 'c_1100_2' : d['c_0101_3'], 'c_1100_10' : negation(d['c_0101_3']), 'c_1010_7' : d['c_0101_0'], 'c_1010_6' : d['c_0110_10'], 'c_1010_5' : d['c_0101_10'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0011_3'], 'c_1010_9' : d['c_0101_4'], 'c_1010_8' : d['c_0101_10'], 's_3_1' : negation(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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_0']), 'c_0011_6' : d['c_0011_0'], '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_0110_10' : d['c_0110_10'], 'c_0101_7' : negation(d['c_0101_4']), 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_0'], '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_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : negation(d['c_0101_4']), 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0101_4']), 'c_0110_7' : d['c_0101_4'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0101_0, c_0101_10, c_0101_2, c_0101_3, c_0101_4, c_0110_10, c_1001_0, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 16325/5438*c_1001_4^11 - 32324/2719*c_1001_4^10 - 62724/2719*c_1001_4^9 - 65181/5438*c_1001_4^8 - 115455/2719*c_1001_4^7 - 10727/2719*c_1001_4^6 - 132651/5438*c_1001_4^5 + 124327/5438*c_1001_4^4 + 4907/2719*c_1001_4^3 + 42099/2719*c_1001_4^2 + 16371/5438*c_1001_4 + 27351/5438, c_0011_0 - 1, c_0011_10 + 1, c_0011_3 + 4031/5438*c_1001_4^11 + 5762/2719*c_1001_4^10 + 8709/2719*c_1001_4^9 - 4249/5438*c_1001_4^8 + 30537/2719*c_1001_4^7 - 29142/2719*c_1001_4^6 + 77895/5438*c_1001_4^5 - 83189/5438*c_1001_4^4 + 25515/2719*c_1001_4^3 - 22999/2719*c_1001_4^2 + 21133/5438*c_1001_4 - 12529/5438, c_0101_0 + 4089/5438*c_1001_4^11 + 5395/2719*c_1001_4^10 + 6976/2719*c_1001_4^9 - 8105/5438*c_1001_4^8 + 34693/2719*c_1001_4^7 - 27703/2719*c_1001_4^6 + 66927/5438*c_1001_4^5 - 53049/5438*c_1001_4^4 + 17686/2719*c_1001_4^3 - 15838/2719*c_1001_4^2 + 2541/5438*c_1001_4 - 3985/5438, c_0101_10 + 1407/5438*c_1001_4^11 + 2395/2719*c_1001_4^10 + 2167/2719*c_1001_4^9 - 12065/5438*c_1001_4^8 - 628/2719*c_1001_4^7 - 3486/2719*c_1001_4^6 - 28953/5438*c_1001_4^5 - 3819/5438*c_1001_4^4 - 1044/2719*c_1001_4^3 + 6685/2719*c_1001_4^2 + 619/5438*c_1001_4 + 1653/5438, c_0101_2 - 4089/5438*c_1001_4^11 - 5395/2719*c_1001_4^10 - 6976/2719*c_1001_4^9 + 8105/5438*c_1001_4^8 - 34693/2719*c_1001_4^7 + 27703/2719*c_1001_4^6 - 66927/5438*c_1001_4^5 + 53049/5438*c_1001_4^4 - 17686/2719*c_1001_4^3 + 15838/2719*c_1001_4^2 - 2541/5438*c_1001_4 + 3985/5438, c_0101_3 + 1, c_0101_4 + 3523/5438*c_1001_4^11 + 1757/2719*c_1001_4^10 - 8084/2719*c_1001_4^9 - 65547/5438*c_1001_4^8 + 11294/2719*c_1001_4^7 - 50934/2719*c_1001_4^6 - 6057/5438*c_1001_4^5 - 11893/5438*c_1001_4^4 + 18048/2719*c_1001_4^3 + 20134/2719*c_1001_4^2 - 3919/5438*c_1001_4 + 6771/5438, c_0110_10 - c_1001_4, c_1001_0 + 781/2719*c_1001_4^11 + 3055/2719*c_1001_4^10 + 7521/2719*c_1001_4^9 + 8270/2719*c_1001_4^8 + 18073/2719*c_1001_4^7 - 4844/2719*c_1001_4^6 + 21357/2719*c_1001_4^5 - 17657/2719*c_1001_4^4 - 730/2719*c_1001_4^3 - 15291/2719*c_1001_4^2 + 1391/2719*c_1001_4 - 555/2719, c_1001_4^12 + 3*c_1001_4^11 + 4*c_1001_4^10 - 3*c_1001_4^9 + 11*c_1001_4^8 - 12*c_1001_4^7 + 9*c_1001_4^6 - 16*c_1001_4^5 + 9*c_1001_4^4 - 6*c_1001_4^3 + 5*c_1001_4^2 - 2*c_1001_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB