Magma V2.19-8 Tue Aug 20 2013 23:57:02 on localhost [Seed = 2067600267] Type ? for help. Type -D to quit. Loading file "L14n2627__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n2627 geometric_solution 11.00260872 oriented_manifold CS_known -0.0000000000000006 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 2 0132 0132 0132 0213 0 1 1 1 0 1 -2 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 -1 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 0.605992602853 1.079963742424 0 4 6 5 0132 0132 0132 0132 1 1 1 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 0 1 1 0 -1 0 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.339784111925 0.556559164356 7 0 4 0 0132 0132 1230 0213 0 1 1 1 0 -1 2 -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 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 0.605992602853 1.079963742424 7 4 4 0 1302 1230 1302 0132 0 1 1 1 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 -1 0 1 0 0 1 -1 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.604842940375 0.704225257781 3 1 3 2 2031 0132 3012 3012 1 0 1 1 0 0 0 0 0 0 2 -2 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 1 -1 1 -3 0 2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.605992602853 1.079963742424 7 8 1 9 2310 0132 0132 0132 1 1 1 1 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 -1 1 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 0 0 0 0.287839037150 1.119593617268 9 7 10 1 0132 2310 0132 0132 1 1 1 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 -1 1 -3 0 0 3 3 -1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.287839037150 1.119593617268 2 3 5 6 0132 2031 3201 3201 1 1 1 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 -1 0 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 0.339784111925 0.556559164356 11 5 11 10 0132 0132 0321 0321 1 1 1 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 0 0 0 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 0.275086731016 1.035326054323 6 11 5 10 0132 0132 0132 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 1 -1 0 0 0 0 0 -3 0 0 3 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.928256296800 1.521022995756 11 8 9 6 3012 0321 0132 0132 1 1 1 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 -1 0 0 1 -2 0 0 2 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.018382011992 0.643753653648 8 9 8 10 0132 0132 0321 1230 1 1 1 1 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 -2 2 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.576380263086 0.170899373823 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_1001_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : negation(d['c_0101_0']), 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_0110_4'], 'c_1001_2' : d['c_0110_4'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : d['c_0101_10'], 'c_1010_11' : d['c_0101_10'], 'c_1010_10' : negation(d['c_0011_3']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_10']), 'c_0101_10' : d['c_0101_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' : 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' : d['1'], 's_0_7' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1001_10'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : negation(d['c_0110_4']), 'c_1100_7' : negation(d['c_0011_11']), 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0101_4'], 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : d['c_0110_4'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : d['c_1100_1'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_3'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_10'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_0110_4'], 'c_1010_9' : d['c_1001_10'], 'c_1010_8' : negation(d['c_0011_3']), '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' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : 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' : negation(d['c_0011_11']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_11'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_11'], '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_0011_10'], 'c_0110_10' : d['c_0101_10'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_1']), 'c_0101_6' : d['c_0101_10'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_1'], 'c_0101_8' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_2'], 'c_0011_10' : d['c_0011_10']})} 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_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_4, c_0110_4, c_1001_10, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 68652755919097300992/98412171122785*c_1100_1^13 - 31489719191395692544/98412171122785*c_1100_1^12 - 49010718305836041216/98412171122785*c_1100_1^11 - 21702552297299572736/98412171122785*c_1100_1^10 - 65591982095841691264/98412171122785*c_1100_1^9 + 4371597855595259648/19682434224557*c_1100_1^8 - 4921776799273182656/98412171122785*c_1100_1^7 + 15844038180419331456/98412171122785*c_1100_1^6 - 7515740044457206192/98412171122785*c_1100_1^5 + 1702405074065339328/19682434224557*c_1100_1^4 - 3424141292138384536/98412171122785*c_1100_1^3 + 993158059805077496/98412171122785*c_1100_1^2 - 1477791736441141473/196824342245570*c_1100_1 + 60114494122677287/19682434224557, c_0011_0 - 1, c_0011_10 + 81101824/165805*c_1100_1^13 + 26541568/165805*c_1100_1^12 + 46797312/165805*c_1100_1^11 + 12918912/165805*c_1100_1^10 + 67834368/165805*c_1100_1^9 - 8020320/33161*c_1100_1^8 + 1997952/165805*c_1100_1^7 - 19641632/165805*c_1100_1^6 + 10803004/165805*c_1100_1^5 - 1959736/33161*c_1100_1^4 + 5392117/165805*c_1100_1^3 - 1681899/331610*c_1100_1^2 + 892698/165805*c_1100_1 - 81013/33161, c_0011_11 + c_1100_1, c_0011_3 - 22027264/165805*c_1100_1^13 - 11770624/165805*c_1100_1^12 - 14370944/165805*c_1100_1^11 - 1340352/33161*c_1100_1^10 - 19595616/165805*c_1100_1^9 + 6530768/165805*c_1100_1^8 + 1239888/165805*c_1100_1^7 + 4694784/165805*c_1100_1^6 - 1915306/165805*c_1100_1^5 + 1861254/165805*c_1100_1^4 - 870362/165805*c_1100_1^3 - 708609/663220*c_1100_1^2 - 74349/132644*c_1100_1 - 13927/165805, c_0101_0 + 6097408/165805*c_1100_1^13 + 3511808/165805*c_1100_1^12 + 6688768/165805*c_1100_1^11 + 1753024/33161*c_1100_1^10 + 10057312/165805*c_1100_1^9 + 2947744/165805*c_1100_1^8 + 4289304/165805*c_1100_1^7 + 3054692/165805*c_1100_1^6 - 361958/165805*c_1100_1^5 - 808673/165805*c_1100_1^4 - 144161/165805*c_1100_1^3 + 399413/663220*c_1100_1^2 - 149893/132644*c_1100_1 + 38799/165805, c_0101_1 + 22027264/165805*c_1100_1^13 + 11770624/165805*c_1100_1^12 + 14370944/165805*c_1100_1^11 + 1340352/33161*c_1100_1^10 + 19595616/165805*c_1100_1^9 - 6530768/165805*c_1100_1^8 - 1239888/165805*c_1100_1^7 - 4694784/165805*c_1100_1^6 + 1915306/165805*c_1100_1^5 - 1861254/165805*c_1100_1^4 + 870362/165805*c_1100_1^3 + 708609/663220*c_1100_1^2 + 74349/132644*c_1100_1 + 13927/165805, c_0101_10 - 68839936/165805*c_1100_1^13 - 37725184/165805*c_1100_1^12 - 53287552/165805*c_1100_1^11 - 26908864/165805*c_1100_1^10 - 68653408/165805*c_1100_1^9 + 15076336/165805*c_1100_1^8 - 4338208/165805*c_1100_1^7 + 15636032/165805*c_1100_1^6 - 1255800/33161*c_1100_1^5 + 7795953/165805*c_1100_1^4 - 5458181/331610*c_1100_1^3 + 1502019/331610*c_1100_1^2 - 3080309/663220*c_1100_1 + 195261/165805, c_0101_2 - 6097408/165805*c_1100_1^13 - 3511808/165805*c_1100_1^12 - 6688768/165805*c_1100_1^11 - 1753024/33161*c_1100_1^10 - 10057312/165805*c_1100_1^9 - 2947744/165805*c_1100_1^8 - 4289304/165805*c_1100_1^7 - 3054692/165805*c_1100_1^6 + 361958/165805*c_1100_1^5 + 808673/165805*c_1100_1^4 + 144161/165805*c_1100_1^3 - 399413/663220*c_1100_1^2 + 149893/132644*c_1100_1 - 38799/165805, c_0101_4 - 1, c_0110_4 + 9230336/33161*c_1100_1^13 + 8196096/33161*c_1100_1^12 + 9466880/33161*c_1100_1^11 + 7750656/33161*c_1100_1^10 + 12087680/33161*c_1100_1^9 + 2452480/33161*c_1100_1^8 + 1397376/33161*c_1100_1^7 - 529024/33161*c_1100_1^6 + 359264/33161*c_1100_1^5 - 946896/33161*c_1100_1^4 - 44400/33161*c_1100_1^3 - 3168/33161*c_1100_1^2 + 49073/66322*c_1100_1 - 4377/33161, c_1001_10 - 14943232/165805*c_1100_1^13 + 1790208/165805*c_1100_1^12 - 5826432/165805*c_1100_1^11 + 320128/33161*c_1100_1^10 - 11462208/165805*c_1100_1^9 + 12637104/165805*c_1100_1^8 - 3710296/165805*c_1100_1^7 + 3000092/165805*c_1100_1^6 - 4215058/165805*c_1100_1^5 + 2203937/165805*c_1100_1^4 - 3323017/331610*c_1100_1^3 + 607442/165805*c_1100_1^2 - 185783/132644*c_1100_1 + 191929/165805, c_1100_1^14 + 1/2*c_1100_1^12 + 13/16*c_1100_1^10 - 3/4*c_1100_1^9 + 7/32*c_1100_1^8 - 1/4*c_1100_1^7 + 27/128*c_1100_1^6 - 11/64*c_1100_1^5 + 27/256*c_1100_1^4 - 9/256*c_1100_1^3 + 65/4096*c_1100_1^2 - 9/1024*c_1100_1 + 1/512 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB