Magma V2.19-8 Wed Aug 21 2013 01:03:12 on localhost [Seed = 4273530623] Type ? for help. Type -D to quit. Loading file "L14n18034__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n18034 geometric_solution 11.99303463 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 2310 1 1 1 1 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 1 0 -1 0 0 0 0 -1 1 0 0 -13 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.570809439864 0.890834522764 0 4 6 5 0132 0132 0132 0132 0 1 1 1 0 -1 1 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 1 -1 0 0 0 0 13 0 0 -13 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.804217702961 0.858623077096 0 0 8 7 3201 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.438939097315 0.911068736356 9 10 7 0 0132 0132 2103 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 12 0 0 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.623056911825 0.522720855456 7 1 6 8 3012 0132 0213 3012 0 1 1 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 0 0 0 0 0 0 -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 0 0 0 0 0.456121931942 0.382065724073 11 6 1 11 0132 0213 0132 0321 0 1 1 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 1 -1 12 0 0 -12 0 -13 0 13 -13 0 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.560278686335 0.505676392177 12 4 5 1 0132 0213 0213 0132 0 1 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 0 0 0 1 0 -1 -13 0 13 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 0.560278686335 0.505676392177 3 10 2 4 2103 2031 0132 1230 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 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 0.058025323359 0.790280629982 12 9 4 2 2310 2310 1230 0132 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 0 0 0 0 0 0 0 0 0 1 -1 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 -0.288402022411 1.079216361059 3 12 11 8 0132 0132 0132 3201 0 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 0 1 -1 0 0 1 -1 0 0 0 0 -12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.252438512138 1.107094642096 7 3 10 10 1302 0132 1230 3012 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 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 1.058025323359 0.790280629982 5 5 12 9 0132 0321 0132 0132 0 1 1 1 0 0 0 0 1 0 -1 0 -1 1 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 -12 0 13 -1 13 -13 0 0 0 12 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.016400618277 0.887742116250 6 9 8 11 0132 0132 3201 0132 0 1 1 1 0 0 0 0 -1 0 0 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 13 0 0 -13 0 -12 0 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.016400618277 0.887742116250 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0110_10']), 'c_1001_12' : negation(d['c_0101_8']), 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0110_10']), 'c_1001_6' : d['c_1001_4'], 'c_1001_1' : negation(d['c_0101_8']), 'c_1001_0' : negation(d['c_0110_10']), 'c_1001_3' : d['c_0011_7'], 'c_1001_2' : negation(d['c_0101_3']), 'c_1001_9' : d['c_1001_11'], 'c_1001_8' : d['c_0101_8'], 'c_1010_12' : d['c_1001_11'], 'c_1010_11' : d['c_1001_11'], 'c_1010_10' : d['c_0011_7'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_11']), 'c_0101_10' : negation(d['c_0011_7']), '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_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : 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_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0110_4'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_1001_11'], 'c_1100_4' : negation(d['c_0101_8']), 'c_1100_7' : d['c_0110_4'], 'c_1100_6' : d['c_1001_11'], 'c_1100_1' : d['c_1001_11'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0110_4'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_8']), 'c_1100_11' : negation(d['c_0011_8']), 'c_1100_10' : d['c_0110_10'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : negation(d['c_0101_8']), 'c_1010_5' : d['c_1001_11'], 'c_1010_4' : negation(d['c_0101_8']), 'c_1010_3' : negation(d['c_0110_10']), 'c_1010_2' : negation(d['c_0110_10']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0101_3']), 'c_1010_9' : negation(d['c_0101_8']), 'c_1010_8' : negation(d['c_0101_3']), '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'], 'c_1100_12' : negation(d['c_0011_8']), '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' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_10'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_0'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : negation(d['c_0011_11']), 'c_0101_12' : d['c_0101_1'], 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : negation(d['c_0011_11']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_10'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0101_1']), '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_3'], 'c_0110_5' : negation(d['c_0011_11']), 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0011_0'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_7, c_0011_8, c_0101_0, c_0101_1, c_0101_3, c_0101_8, c_0110_10, c_0110_4, c_1001_11, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 474336716/618725*c_1001_4^15 + 1098091208/618725*c_1001_4^14 - 680039229/123745*c_1001_4^13 + 6211116313/618725*c_1001_4^12 - 9630672048/618725*c_1001_4^11 + 26437491071/1237450*c_1001_4^10 - 26286653181/1237450*c_1001_4^9 + 12604323158/618725*c_1001_4^8 - 15738353797/1237450*c_1001_4^7 + 3763858068/618725*c_1001_4^6 + 647750463/1237450*c_1001_4^5 - 546972553/123745*c_1001_4^4 + 5288485179/1237450*c_1001_4^3 - 5628914927/1237450*c_1001_4^2 + 1617777929/1237450*c_1001_4 - 1738915361/1237450, c_0011_0 - 1, c_0011_10 - 14892/24749*c_1001_4^15 - 122148/24749*c_1001_4^14 + 399995/24749*c_1001_4^13 - 1083326/24749*c_1001_4^12 + 2214516/24749*c_1001_4^11 - 3245122/24749*c_1001_4^10 + 4095037/24749*c_1001_4^9 - 3943062/24749*c_1001_4^8 + 2936784/24749*c_1001_4^7 - 1449761/24749*c_1001_4^6 + 18402/24749*c_1001_4^5 + 791024/24749*c_1001_4^4 - 1086309/24749*c_1001_4^3 + 734417/24749*c_1001_4^2 - 416521/24749*c_1001_4 + 147831/24749, c_0011_11 + 39068/24749*c_1001_4^15 - 132096/24749*c_1001_4^14 + 318693/24749*c_1001_4^13 - 600217/24749*c_1001_4^12 + 826632/24749*c_1001_4^11 - 901513/24749*c_1001_4^10 + 709721/24749*c_1001_4^9 - 330700/24749*c_1001_4^8 - 85800/24749*c_1001_4^7 + 328550/24749*c_1001_4^6 - 323726/24749*c_1001_4^5 + 213079/24749*c_1001_4^4 - 50353/24749*c_1001_4^3 - 37173/24749*c_1001_4^2 + 39545/24749*c_1001_4 - 2329/24749, c_0011_7 + 37744/24749*c_1001_4^15 - 81532/24749*c_1001_4^14 + 188544/24749*c_1001_4^13 - 299285/24749*c_1001_4^12 + 291338/24749*c_1001_4^11 - 238084/24749*c_1001_4^10 - 4602/24749*c_1001_4^9 + 232354/24749*c_1001_4^8 - 369856/24749*c_1001_4^7 + 368738/24749*c_1001_4^6 - 254444/24749*c_1001_4^5 + 107285/24749*c_1001_4^4 + 11233/24749*c_1001_4^3 - 17195/24749*c_1001_4^2 + 12199/24749*c_1001_4 - 3066/24749, c_0011_8 + c_1001_4, c_0101_0 - 138064/24749*c_1001_4^15 + 429084/24749*c_1001_4^14 - 1085912/24749*c_1001_4^13 + 2085157/24749*c_1001_4^12 - 2955046/24749*c_1001_4^11 + 3549656/24749*c_1001_4^10 - 3209370/24749*c_1001_4^9 + 2186875/24749*c_1001_4^8 - 854662/24749*c_1001_4^7 - 279052/24749*c_1001_4^6 + 793957/24749*c_1001_4^5 - 881302/24749*c_1001_4^4 + 520584/24749*c_1001_4^3 - 259815/24749*c_1001_4^2 + 59451/24749*c_1001_4 + 2329/24749, c_0101_1 - 14892/24749*c_1001_4^15 - 122148/24749*c_1001_4^14 + 399995/24749*c_1001_4^13 - 1083326/24749*c_1001_4^12 + 2214516/24749*c_1001_4^11 - 3245122/24749*c_1001_4^10 + 4095037/24749*c_1001_4^9 - 3943062/24749*c_1001_4^8 + 2936784/24749*c_1001_4^7 - 1449761/24749*c_1001_4^6 + 18402/24749*c_1001_4^5 + 791024/24749*c_1001_4^4 - 1086309/24749*c_1001_4^3 + 734417/24749*c_1001_4^2 - 416521/24749*c_1001_4 + 147831/24749, c_0101_3 - 1, c_0101_8 + 1, c_0110_10 + 22252/24749*c_1001_4^15 - 104500/24749*c_1001_4^14 + 276237/24749*c_1001_4^13 - 589080/24749*c_1001_4^12 + 950156/24749*c_1001_4^11 - 1220359/24749*c_1001_4^10 + 1278365/24749*c_1001_4^9 - 1007864/24749*c_1001_4^8 + 540903/24749*c_1001_4^7 - 58495/24749*c_1001_4^6 - 263041/24749*c_1001_4^5 + 393519/24749*c_1001_4^4 - 318679/24749*c_1001_4^3 + 205724/24749*c_1001_4^2 - 110754/24749*c_1001_4 + 29808/24749, c_0110_4 + 138064/24749*c_1001_4^15 - 429084/24749*c_1001_4^14 + 1085912/24749*c_1001_4^13 - 2085157/24749*c_1001_4^12 + 2955046/24749*c_1001_4^11 - 3549656/24749*c_1001_4^10 + 3209370/24749*c_1001_4^9 - 2186875/24749*c_1001_4^8 + 854662/24749*c_1001_4^7 + 279052/24749*c_1001_4^6 - 793957/24749*c_1001_4^5 + 881302/24749*c_1001_4^4 - 520584/24749*c_1001_4^3 + 259815/24749*c_1001_4^2 - 59451/24749*c_1001_4 - 2329/24749, c_1001_11 + 28760/24749*c_1001_4^15 - 101216/24749*c_1001_4^14 + 265470/24749*c_1001_4^13 - 564950/24749*c_1001_4^12 + 911817/24749*c_1001_4^11 - 1241582/24749*c_1001_4^10 + 1411278/24749*c_1001_4^9 - 1267406/24749*c_1001_4^8 + 881770/24749*c_1001_4^7 - 368191/24749*c_1001_4^6 - 90142/24749*c_1001_4^5 + 346481/24749*c_1001_4^4 - 359030/24749*c_1001_4^3 + 242335/24749*c_1001_4^2 - 133056/24749*c_1001_4 + 20944/24749, c_1001_4^16 - 3*c_1001_4^15 + 35/4*c_1001_4^14 - 18*c_1001_4^13 + 117/4*c_1001_4^12 - 167/4*c_1001_4^11 + 187/4*c_1001_4^10 - 91/2*c_1001_4^9 + 139/4*c_1001_4^8 - 77/4*c_1001_4^7 + 19/4*c_1001_4^6 + 25/4*c_1001_4^5 - 19/2*c_1001_4^4 + 39/4*c_1001_4^3 - 23/4*c_1001_4^2 + 3*c_1001_4 - 5/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.230 Total time: 0.440 seconds, Total memory usage: 32.09MB