Magma V2.19-8 Wed Aug 21 2013 00:51:58 on localhost [Seed = 2050780979] Type ? for help. Type -D to quit. Loading file "L11n36__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n36 geometric_solution 12.27656278 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 1230 0132 0132 1 1 0 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 1 -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 0 0 0.438450765981 0.921657855247 0 4 0 5 0132 0132 3012 0132 1 1 1 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 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.579097612659 0.884769788729 4 6 7 0 2103 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 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 0.361569354616 0.803343095091 4 4 0 5 0132 1302 0132 1230 1 1 1 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 -1 1 0 0 0 0 0 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.438450765981 0.921657855247 3 1 2 3 0132 0132 2103 2031 1 1 0 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 -1 1 0 0 -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 0.482103104558 0.791264748372 3 8 1 9 3012 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 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 0.606323501408 0.762942383435 8 2 9 10 3120 0132 1230 0132 1 1 1 1 0 0 0 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 -1 0 1 2 0 -2 0 0 0 0 0 2 1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.984757471313 1.033285540397 11 10 9 2 0132 0132 1302 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 0 0 0 0 0 -1 1 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.327170971000 1.724056913326 11 5 10 6 2031 0132 2103 3120 1 1 1 1 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 0 2 -2 -1 0 3 -2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.305015822794 0.921216558895 7 12 5 6 2031 0132 0132 3012 1 1 1 1 0 -1 0 1 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 -3 0 3 0 0 0 0 -2 0 0 2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.201070399966 1.285055776428 8 7 6 12 2103 0132 0132 1302 1 1 1 1 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 -1 1 -3 0 0 3 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.336513439400 0.341170662744 7 12 8 12 0132 1302 1302 1230 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 1 -1 0 0 0 0 0 3 0 -3 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.410611473676 0.586033666868 11 9 10 11 3012 0132 2031 2031 1 1 1 1 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 3 0 -3 1 0 -1 0 0 1 0 -1 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.198082794016 1.144513757835 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_0101_6']), 'c_1001_5' : d['c_0011_2'], 'c_1001_4' : d['c_0011_2'], 'c_1001_7' : d['c_0101_12'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_1001_10'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_0011_10'], 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : d['c_0101_12'], 'c_1010_10' : d['c_0101_12'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0011_5'], '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' : d['1'], 's_2_4' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_1001_0']), 'c_1100_8' : negation(d['c_0101_6']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_0']), 'c_1100_4' : negation(d['c_0101_0']), 'c_1100_7' : d['c_0101_9'], 'c_1100_6' : d['c_0101_12'], 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : d['c_0101_9'], 'c_1100_3' : d['c_0101_9'], 'c_1100_2' : d['c_0101_9'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : d['c_0101_12'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_10'], 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_2'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : negation(d['c_0101_6']), 'c_1010_8' : d['c_0011_2'], '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' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_12']), '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_12']), 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_0110_11' : d['c_0011_12'], 'c_0110_10' : d['c_0101_6'], 'c_0110_12' : d['c_0101_10'], 'c_0011_11' : d['c_0011_10'], 'c_0101_7' : d['c_0011_12'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_10'], '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_12'], 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_9'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0011_5'], 'c_0110_6' : d['c_0101_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_2, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_6, c_0101_9, c_1001_0, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 13266681856/213187*c_1001_10^5 + 27647688704/213187*c_1001_10^4 - 18153078784/213187*c_1001_10^3 - 4631420928/213187*c_1001_10^2 - 22302720/213187*c_1001_10 + 480836608/213187, c_0011_0 - 1, c_0011_10 - c_1001_10, c_0011_12 - 336/13*c_1001_10^5 + 752/13*c_1001_10^4 - 564/13*c_1001_10^3 - 60/13*c_1001_10^2 + 43/13*c_1001_10 + 10/13, c_0011_2 - 240/13*c_1001_10^5 + 552/13*c_1001_10^4 - 440/13*c_1001_10^3 - 2/13*c_1001_10^2 + 1/13*c_1001_10 + 5/26, c_0011_5 + 240/13*c_1001_10^5 - 552/13*c_1001_10^4 + 440/13*c_1001_10^3 + 2/13*c_1001_10^2 - 1/13*c_1001_10 - 31/26, c_0101_0 - 1, c_0101_1 + 1, c_0101_10 + 160/13*c_1001_10^5 - 368/13*c_1001_10^4 + 276/13*c_1001_10^3 + 36/13*c_1001_10^2 - 31/13*c_1001_10 - 6/13, c_0101_12 - 192/13*c_1001_10^5 + 400/13*c_1001_10^4 - 248/13*c_1001_10^3 - 90/13*c_1001_10^2 + 6/13*c_1001_10 + 15/13, c_0101_6 - 128/13*c_1001_10^5 + 232/13*c_1001_10^4 - 96/13*c_1001_10^3 - 112/13*c_1001_10^2 + 4/13*c_1001_10 + 10/13, c_0101_9 - 240/13*c_1001_10^5 + 552/13*c_1001_10^4 - 440/13*c_1001_10^3 - 2/13*c_1001_10^2 + 1/13*c_1001_10 + 5/26, c_1001_0 - 240/13*c_1001_10^5 + 552/13*c_1001_10^4 - 440/13*c_1001_10^3 - 2/13*c_1001_10^2 + 1/13*c_1001_10 + 31/26, c_1001_10^6 - 5/2*c_1001_10^5 + 9/4*c_1001_10^4 - 1/4*c_1001_10^3 - 1/8*c_1001_10^2 - 1/32*c_1001_10 + 1/64 ], 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_2, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_6, c_0101_9, c_1001_0, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 278227/116*c_1001_10^7 - 17443/8*c_1001_10^6 + 1665299/464*c_1001_10^5 + 394977/116*c_1001_10^4 - 1554539/928*c_1001_10^3 - 6333137/3712*c_1001_10^2 - 1665621/7424*c_1001_10 + 1076663/7424, c_0011_0 - 1, c_0011_10 - c_1001_10, c_0011_12 + 288/29*c_1001_10^7 + 16*c_1001_10^6 - 216/29*c_1001_10^5 - 528/29*c_1001_10^4 + 16/29*c_1001_10^3 + 183/29*c_1001_10^2 + 141/58*c_1001_10 + 35/58, c_0011_2 - 608/29*c_1001_10^7 - 16*c_1001_10^6 + 920/29*c_1001_10^5 + 496/29*c_1001_10^4 - 588/29*c_1001_10^3 - 135/29*c_1001_10^2 + 147/58*c_1001_10 - 3/58, c_0011_5 - 608/29*c_1001_10^7 - 16*c_1001_10^6 + 920/29*c_1001_10^5 + 496/29*c_1001_10^4 - 588/29*c_1001_10^3 - 135/29*c_1001_10^2 + 147/58*c_1001_10 - 61/58, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 - 688/29*c_1001_10^7 - 24*c_1001_10^6 + 748/29*c_1001_10^5 + 720/29*c_1001_10^4 - 354/29*c_1001_10^3 - 449/58*c_1001_10^2 - 113/116*c_1001_10 - 77/116, c_0101_12 + 616/29*c_1001_10^7 + 20*c_1001_10^6 - 810/29*c_1001_10^5 - 704/29*c_1001_10^4 + 437/29*c_1001_10^3 + 1063/116*c_1001_10^2 - 205/232*c_1001_10 + 3/232, c_0101_6 - 56/29*c_1001_10^7 + 4*c_1001_10^6 + 158/29*c_1001_10^5 - 168/29*c_1001_10^4 - 103/29*c_1001_10^3 + 515/116*c_1001_10^2 + 103/232*c_1001_10 - 169/232, c_0101_9 - 608/29*c_1001_10^7 - 16*c_1001_10^6 + 920/29*c_1001_10^5 + 496/29*c_1001_10^4 - 588/29*c_1001_10^3 - 135/29*c_1001_10^2 + 147/58*c_1001_10 - 3/58, c_1001_0 + 608/29*c_1001_10^7 + 16*c_1001_10^6 - 920/29*c_1001_10^5 - 496/29*c_1001_10^4 + 588/29*c_1001_10^3 + 135/29*c_1001_10^2 - 147/58*c_1001_10 + 61/58, c_1001_10^8 + 3/2*c_1001_10^7 - 3/4*c_1001_10^6 - 7/4*c_1001_10^5 + 1/8*c_1001_10^4 + 23/32*c_1001_10^3 + 9/64*c_1001_10^2 + 1/64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.250 Total time: 0.460 seconds, Total memory usage: 32.09MB