Magma V2.19-8 Tue Aug 20 2013 23:53:05 on localhost [Seed = 2564748132] Type ? for help. Type -D to quit. Loading file "L13n4632__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4632 geometric_solution 10.53973686 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 3 0132 0132 0132 3201 0 1 0 1 0 0 0 0 0 0 -1 1 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 5 -6 0 -1 0 1 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.324639307539 1.061738338649 0 4 6 5 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 2 -2 -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 0.685720206198 0.648497445511 7 0 8 6 0132 0132 0132 2310 0 0 1 0 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 1 0 0 0 0 0 -5 5 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.676715858540 0.460024320006 9 0 7 0 0132 2310 0321 0132 0 1 1 0 0 0 0 0 0 0 -1 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 -1 0 1 0 0 5 -5 -1 6 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.223306263667 1.341503198575 8 1 10 11 0213 0132 0132 0132 0 0 0 1 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 -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 0.427665498398 0.375621541043 9 8 1 10 2103 0213 0132 1230 0 1 0 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 0 0 0 0 -1 2 -1 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 1.386396065311 0.961394672093 2 11 9 1 3201 1302 0132 0132 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.737354206405 0.403341003688 2 9 3 11 0132 2103 0321 2310 0 0 0 1 0 0 0 0 0 0 0 0 -1 0 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 2 0 0 -2 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.169130152672 0.476119413193 4 10 5 2 0213 0132 0213 0132 0 0 0 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 1 -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 0.628602269849 0.555116620576 3 7 5 6 0132 2103 2103 0132 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 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 0.934572159381 0.779062190775 5 8 11 4 3012 0132 3012 0132 0 0 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 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 0.784931007671 0.787477132996 7 10 4 6 3201 1230 0132 2031 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 0 0 0 0.756143415518 0.636782149513 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0110_11'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0011_11'], 'c_1001_2' : negation(d['c_0011_11']), 'c_1001_9' : d['c_0011_0'], 'c_1001_8' : d['c_1001_4'], 'c_1010_11' : d['c_0011_6'], 'c_1010_10' : d['c_1001_4'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_6'], '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' : d['1'], 's_2_7' : 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' : negation(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_11'], 'c_1100_8' : d['c_0011_6'], 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : negation(d['c_1001_1']), 'c_1100_7' : d['c_0011_11'], 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : negation(d['c_0011_10']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0011_6'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_10']), 'c_1100_11' : negation(d['c_1001_1']), 'c_1100_10' : negation(d['c_1001_1']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0110_11']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_11']), 'c_1010_9' : d['c_0110_11'], 'c_1010_8' : negation(d['c_0011_11']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : negation(d['c_0011_10']), 'c_0101_7' : negation(d['c_0101_3']), 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_10']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_11']), '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_0011_0'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0101_11']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0011_10'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : negation(d['c_0101_11']), 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_11, c_0101_3, c_0110_11, c_1001_1, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 68/7*c_1001_4^2 + 174/7*c_1001_4 - 37/7, c_0011_0 - 1, c_0011_10 + c_1001_4, c_0011_11 - c_1001_4 + 1, c_0011_3 - c_1001_4^2 + 2*c_1001_4 - 1, c_0011_6 + c_1001_4^2 - c_1001_4, c_0101_0 - 1, c_0101_1 - c_1001_4^2 + 2*c_1001_4 - 1, c_0101_11 + 2*c_1001_4^2 - 4*c_1001_4 + 1, c_0101_3 - 1, c_0110_11 + c_1001_4^2 - c_1001_4, c_1001_1 + c_1001_4^2 - 2*c_1001_4 + 1, c_1001_4^3 - 3*c_1001_4^2 + 2*c_1001_4 - 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_11, c_0101_3, c_0110_11, c_1001_1, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 5050187226727875/19153384953472*c_1001_4^9 + 55509361505598457/19153384953472*c_1001_4^8 + 75069474317536239/19153384953472*c_1001_4^7 + 41950534907198805/19153384953472*c_1001_4^6 - 12549667100882531/4788346238368*c_1001_4^5 - 84024243387545583/9576692476736*c_1001_4^4 - 126423765363641003/19153384953472*c_1001_4^3 - 96977803727808285/19153384953472*c_1001_4^2 - 5044698019204061/19153384953472*c_1001_4 - 5113462002144537/19153384953472, c_0011_0 - 1, c_0011_10 - 353/1177*c_1001_4^9 - 3603/1177*c_1001_4^8 - 1817/1177*c_1001_4^7 + 9983/2354*c_1001_4^6 + 13573/2354*c_1001_4^5 + 11697/2354*c_1001_4^4 - 4780/1177*c_1001_4^3 - 10931/2354*c_1001_4^2 - 7253/2354*c_1001_4 - 633/2354, c_0011_11 + 350/1177*c_1001_4^9 + 3409/1177*c_1001_4^8 + 839/2354*c_1001_4^7 - 5807/2354*c_1001_4^6 - 6459/2354*c_1001_4^5 - 6519/1177*c_1001_4^4 + 10349/2354*c_1001_4^3 - 2469/2354*c_1001_4^2 + 10629/2354*c_1001_4 - 193/1177, c_0011_3 - 196/1177*c_1001_4^9 - 3771/2354*c_1001_4^8 - 282/1177*c_1001_4^7 - 1409/2354*c_1001_4^6 + 4445/1177*c_1001_4^5 + 5628/1177*c_1001_4^4 - 1297/1177*c_1001_4^3 - 171/2354*c_1001_4^2 - 7025/1177*c_1001_4 + 1299/2354, c_0011_6 + 280/1177*c_1001_4^9 + 3198/1177*c_1001_4^8 + 9381/2354*c_1001_4^7 - 4206/1177*c_1001_4^6 - 8704/1177*c_1001_4^5 - 14903/2354*c_1001_4^4 + 2865/2354*c_1001_4^3 + 8193/1177*c_1001_4^2 + 3310/1177*c_1001_4 + 1339/2354, c_0101_0 - 1, c_0101_1 - 1019/2354*c_1001_4^9 - 5092/1177*c_1001_4^8 - 1844/1177*c_1001_4^7 + 8909/2354*c_1001_4^6 + 13147/2354*c_1001_4^5 + 7652/1177*c_1001_4^4 - 3915/1177*c_1001_4^3 - 6903/2354*c_1001_4^2 - 3648/1177*c_1001_4 - 511/1177, c_0101_11 - 201/1177*c_1001_4^9 - 3633/2354*c_1001_4^8 + 1116/1177*c_1001_4^7 + 3197/2354*c_1001_4^6 + 565/1177*c_1001_4^5 + 6276/1177*c_1001_4^4 - 9467/1177*c_1001_4^3 + 9667/2354*c_1001_4^2 - 8135/1177*c_1001_4 + 9409/2354, c_0101_3 - 719/1177*c_1001_4^9 - 7262/1177*c_1001_4^8 - 6825/2354*c_1001_4^7 + 6084/1177*c_1001_4^6 + 15255/1177*c_1001_4^5 + 26999/2354*c_1001_4^4 - 15701/2354*c_1001_4^3 - 10147/1177*c_1001_4^2 - 10139/1177*c_1001_4 + 2165/2354, c_0110_11 - 1427/2354*c_1001_4^9 - 14205/2354*c_1001_4^8 - 4251/2354*c_1001_4^7 + 8141/1177*c_1001_4^6 + 21391/2354*c_1001_4^5 + 26515/2354*c_1001_4^4 - 25975/2354*c_1001_4^3 - 5318/1177*c_1001_4^2 - 8918/1177*c_1001_4 + 2507/1177, c_1001_1 + 350/1177*c_1001_4^9 + 3409/1177*c_1001_4^8 + 839/2354*c_1001_4^7 - 5807/2354*c_1001_4^6 - 6459/2354*c_1001_4^5 - 6519/1177*c_1001_4^4 + 10349/2354*c_1001_4^3 - 115/2354*c_1001_4^2 + 8275/2354*c_1001_4 - 193/1177, c_1001_4^10 + 10*c_1001_4^9 + 4*c_1001_4^8 - 6*c_1001_4^7 - 17*c_1001_4^6 - 22*c_1001_4^5 + 9*c_1001_4^4 + 6*c_1001_4^3 + 18*c_1001_4^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.290 seconds, Total memory usage: 32.09MB