Magma V2.19-8 Wed Aug 21 2013 00:53:16 on localhost [Seed = 3230061906] Type ? for help. Type -D to quit. Loading file "L12n1420__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1420 geometric_solution 12.12039739 oriented_manifold CS_known -0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 2 0 2 0 0 1 0 -1 1 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 -1 -1 2 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 0.934523842604 0.908889873778 0 5 2 6 0132 0132 3120 0132 2 0 0 2 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 -2 1 1 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 -0.006664583695 0.998232126399 7 0 1 4 0132 0132 3120 0213 2 0 0 2 0 -1 1 0 1 0 -1 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 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 0.337397546568 0.659927393210 5 7 8 0 0132 0132 0132 0132 2 0 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 0 0 0 0 -1 0 1 1 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 0.629259925173 0.529643002813 9 9 0 2 0132 2310 0132 0213 2 0 0 2 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 2 -2 0 0 0 0 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.774579514133 0.673223435427 3 1 10 9 0132 0132 0132 0321 2 0 2 0 0 -1 0 1 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 2 0 -2 -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 0.144086483179 0.852005081221 10 11 1 11 0132 0132 0132 1230 2 0 1 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.017073097794 1.180871282325 2 3 8 11 0132 0132 0321 0213 2 0 2 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 0 -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 1.084006422470 0.976211722329 9 12 7 3 2103 0132 0321 0132 2 0 2 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 -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 0.872036443693 0.780444877963 4 5 8 4 0132 0321 2103 3201 2 0 2 0 0 -1 0 1 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 2 0 -2 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 0.199081821194 0.792052503424 6 12 12 5 0132 0321 3201 0132 2 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 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 0.012240986878 0.846655366591 6 6 12 7 3012 0132 0321 0213 2 2 0 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 0 1 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 0.418739070761 0.486176406122 10 8 11 10 2310 0132 0321 0321 2 1 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 0 0 0 0 0 0 0 0 0 0 1 0 -1 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 0.012240986878 0.846655366591 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_10'], 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : d['c_0101_11'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_1001_1']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_12'], 'c_1001_2' : negation(d['c_1001_1']), 'c_1001_9' : negation(d['c_0011_12']), 'c_1001_8' : d['c_1001_5'], 'c_1010_12' : d['c_1001_5'], 'c_1010_11' : d['c_1001_5'], 'c_1010_10' : d['c_1001_5'], 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 'c_0101_12' : negation(d['c_0101_11']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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_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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_10'], 'c_1100_8' : d['c_1001_0'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_12']), 'c_1100_4' : d['c_1001_0'], 'c_1100_7' : d['c_1001_5'], 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_0'], 'c_1100_2' : negation(d['c_0101_1']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_4']), 'c_1100_11' : d['c_1001_12'], 'c_1100_10' : negation(d['c_0011_12']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_12'], 'c_1010_6' : d['c_0101_11'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : d['c_1001_1'], 'c_1010_8' : d['c_1001_12'], 's_3_1' : d['1'], 's_3_0' : 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_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : d['c_0101_11'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : 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' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(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_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_2']), 'c_0110_10' : d['c_0101_0'], 'c_0110_12' : negation(d['c_0011_10']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_4'], '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_7']), 'c_0101_8' : negation(d['c_0101_7']), 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0011_4'], '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' : d['c_0011_4'], 'c_0110_4' : negation(d['c_0101_7']), 'c_0110_7' : d['c_0101_2'], 'c_0011_10' : d['c_0011_10'], 's_2_9' : d['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_12, c_0011_4, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_7, c_1001_0, c_1001_1, c_1001_12, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 500399696729/111284787871744*c_1001_5^6 - 1957772561/1340780576768*c_1001_5^5 - 1065659840725/13910598483968*c_1001_5^4 + 1807463996035/13910598483968*c_1001_5^3 + 5885464518747/13910598483968*c_1001_5^2 + 4151543844015/6955299241984*c_1001_5 + 1994568394153/3477649620992, c_0011_0 - 1, c_0011_10 + 1, c_0011_12 - 29/19328*c_1001_5^6 + 139/19328*c_1001_5^5 - 387/9664*c_1001_5^4 + 1015/4832*c_1001_5^3 - 675/1208*c_1001_5^2 - 645/1208*c_1001_5 - 413/302, c_0011_4 + 81/9664*c_1001_5^6 - 55/9664*c_1001_5^5 + 831/4832*c_1001_5^4 - 1023/2416*c_1001_5^3 - 9/151*c_1001_5^2 - 1031/604*c_1001_5 - 18/151, c_0101_0 - 1, c_0101_1 + 251/19328*c_1001_5^6 - 245/19328*c_1001_5^5 + 2329/9664*c_1001_5^4 - 3349/4832*c_1001_5^3 - 229/1208*c_1001_5^2 - 1957/1208*c_1001_5 - 39/302, c_0101_11 + 29/19328*c_1001_5^6 - 139/19328*c_1001_5^5 + 387/9664*c_1001_5^4 - 1015/4832*c_1001_5^3 + 675/1208*c_1001_5^2 - 563/1208*c_1001_5 + 413/302, c_0101_2 - 29/19328*c_1001_5^6 + 139/19328*c_1001_5^5 - 387/9664*c_1001_5^4 + 1015/4832*c_1001_5^3 - 675/1208*c_1001_5^2 + 1771/1208*c_1001_5 - 413/302, c_0101_7 + 399/77312*c_1001_5^6 - 819/77312*c_1001_5^5 + 497/4832*c_1001_5^4 - 3887/9664*c_1001_5^3 + 2615/9664*c_1001_5^2 - 5705/4832*c_1001_5 + 2893/2416, c_1001_0 + 3/19328*c_1001_5^6 - 181/19328*c_1001_5^5 + 165/9664*c_1001_5^4 - 709/4832*c_1001_5^3 + 653/1208*c_1001_5^2 + 275/1208*c_1001_5 + 251/302, c_1001_1 - 23/19328*c_1001_5^6 - 223/19328*c_1001_5^5 - 57/9664*c_1001_5^4 - 403/4832*c_1001_5^3 + 631/1208*c_1001_5^2 + 1113/1208*c_1001_5 + 89/302, c_1001_12 - 139/19328*c_1001_5^6 + 333/19328*c_1001_5^5 - 1605/9664*c_1001_5^4 + 2449/4832*c_1001_5^3 - 559/1208*c_1001_5^2 + 949/1208*c_1001_5 - 355/302, c_1001_5^7 - c_1001_5^6 + 20*c_1001_5^5 - 56*c_1001_5^4 + 8*c_1001_5^3 - 208*c_1001_5^2 + 32*c_1001_5 - 128 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB