Magma V2.19-8 Tue Aug 20 2013 23:40:40 on localhost [Seed = 408845450] Type ? for help. Type -D to quit. Loading file "L11n200__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n200 geometric_solution 10.33122046 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 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 1 0 -1 -1 0 0 1 1 2 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.209330539811 0.881569899023 0 5 5 3 0132 0132 1302 3201 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 1 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 0.336291310355 1.005965703852 4 0 6 3 0213 0132 0132 2310 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 -1 0 1 0 0 0 0 0 0 0 0 3 -2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.448527030742 0.661685386560 2 1 7 0 3201 2310 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.358508263565 0.805231711694 2 6 0 8 0213 0132 0132 0132 1 1 1 0 0 0 0 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 0 1 -1 0 0 -1 1 0 2 0 -2 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.510568486050 0.533918888354 1 1 9 8 2031 0132 0132 0321 1 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 0 0 0 0 0 0 0 0 0 0 0 0 -3 3 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.701090025181 0.894144968805 10 4 9 2 0132 0132 2103 0132 1 1 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 0 0 0 0 0 0 0 -1 0 0 1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.131418534255 1.158548882282 10 9 9 3 3201 2103 0321 0132 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 0 0 0 0 0 0 0 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.190928943089 0.771918797757 10 5 4 10 1230 0321 0132 0132 1 1 0 1 0 0 0 0 -1 0 0 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 0 1 -1 -2 0 -1 3 0 -1 0 1 1 -3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.539526098820 0.602435812671 6 7 7 5 2103 2103 0321 0132 1 1 1 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 0 0 0 0 0 0 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 0 0 0 0 0 0 0.831282457188 0.997102395050 6 8 8 7 0132 3012 0132 2310 1 1 1 0 0 0 0 0 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 -1 1 0 0 0 -3 3 -2 2 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.539526098820 0.602435812671 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0011_8']), 'c_1001_5' : negation(d['c_1001_3']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_9'], 'c_1001_6' : d['c_0011_9'], 'c_1001_1' : negation(d['c_0011_8']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_7'], 'c_1001_8' : d['c_0011_9'], 'c_1010_10' : negation(d['c_0101_3']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0011_10'], '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_10' : 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_1100_9' : d['c_0011_9'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_9'], 'c_1100_4' : d['c_0011_7'], 'c_1100_7' : d['c_0011_7'], 'c_1100_6' : d['c_0011_3'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_7'], 'c_1100_3' : d['c_0011_7'], 'c_1100_2' : d['c_0011_3'], 'c_1100_10' : d['c_0011_7'], 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : negation(d['c_0011_8']), 'c_1010_4' : d['c_0011_9'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : negation(d['c_1001_3']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_1001_3']), 'c_1010_8' : negation(d['c_0011_8']), 'c_1100_8' : d['c_0011_7'], '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'], '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_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : d['c_0011_7'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_6'], 'c_0101_7' : negation(d['c_0101_6']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_6'], 'c_0101_8' : d['c_0101_3'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_3']), 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : negation(d['c_0011_8']), 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_7, c_0011_8, c_0011_9, c_0101_0, c_0101_3, c_0101_6, c_1001_2, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 493919834/245094863*c_1001_3^9 + 280024649/37706902*c_1001_3^8 - 14050866577/980379452*c_1001_3^7 - 22307046713/490189726*c_1001_3^6 + 43166949621/980379452*c_1001_3^5 + 121320122897/980379452*c_1001_3^4 - 199692508927/980379452*c_1001_3^3 + 31044694485/245094863*c_1001_3^2 - 39200820613/980379452*c_1001_3 - 1519298809/980379452, c_0011_0 - 1, c_0011_10 - 3118181/650119*c_1001_3^9 - 11952139/2600476*c_1001_3^8 + 12507315/650119*c_1001_3^7 + 87415245/2600476*c_1001_3^6 - 36514092/650119*c_1001_3^5 + 64556663/2600476*c_1001_3^4 - 50682617/650119*c_1001_3^3 + 128935481/1300238*c_1001_3^2 - 33459192/650119*c_1001_3 + 16572953/2600476, c_0011_3 - 1274515/650119*c_1001_3^9 - 3532525/2600476*c_1001_3^8 + 5636294/650119*c_1001_3^7 + 31674913/2600476*c_1001_3^6 - 17771994/650119*c_1001_3^5 + 35936501/2600476*c_1001_3^4 - 42728913/1300238*c_1001_3^3 + 31079713/650119*c_1001_3^2 - 37178825/1300238*c_1001_3 + 11267671/2600476, c_0011_7 - 1944461/650119*c_1001_3^9 - 7202131/2600476*c_1001_3^8 + 7954996/650119*c_1001_3^7 + 54097499/2600476*c_1001_3^6 - 23494389/650119*c_1001_3^5 + 39811481/2600476*c_1001_3^4 - 31232795/650119*c_1001_3^3 + 82821961/1300238*c_1001_3^2 - 41556457/1300238*c_1001_3 + 9404263/2600476, c_0011_8 - 1274515/650119*c_1001_3^9 - 3532525/2600476*c_1001_3^8 + 5636294/650119*c_1001_3^7 + 31674913/2600476*c_1001_3^6 - 17771994/650119*c_1001_3^5 + 35936501/2600476*c_1001_3^4 - 42728913/1300238*c_1001_3^3 + 31079713/650119*c_1001_3^2 - 35878587/1300238*c_1001_3 + 11267671/2600476, c_0011_9 + 2775994/650119*c_1001_3^9 + 5358143/1300238*c_1001_3^8 - 22271643/1300238*c_1001_3^7 - 19584092/650119*c_1001_3^6 + 32369620/650119*c_1001_3^5 - 27660017/1300238*c_1001_3^4 + 90853067/1300238*c_1001_3^3 - 114102569/1300238*c_1001_3^2 + 57681281/1300238*c_1001_3 - 3657123/650119, c_0101_0 - 1, c_0101_3 - 481459/650119*c_1001_3^9 - 1907213/2600476*c_1001_3^8 + 2092384/650119*c_1001_3^7 + 15584243/2600476*c_1001_3^6 - 11102279/1300238*c_1001_3^5 + 3157281/2600476*c_1001_3^4 - 8371068/650119*c_1001_3^3 + 8754660/650119*c_1001_3^2 - 6000573/1300238*c_1001_3 - 137327/2600476, c_0101_6 + 451566/650119*c_1001_3^9 + 445885/1300238*c_1001_3^8 - 4280297/1300238*c_1001_3^7 - 2642960/650119*c_1001_3^6 + 6808165/650119*c_1001_3^5 - 7402435/1300238*c_1001_3^4 + 17179731/1300238*c_1001_3^3 - 23687003/1300238*c_1001_3^2 + 16030739/1300238*c_1001_3 - 1981375/650119, c_1001_2 - 1944461/650119*c_1001_3^9 - 7202131/2600476*c_1001_3^8 + 7954996/650119*c_1001_3^7 + 54097499/2600476*c_1001_3^6 - 23494389/650119*c_1001_3^5 + 39811481/2600476*c_1001_3^4 - 31232795/650119*c_1001_3^3 + 82821961/1300238*c_1001_3^2 - 41556457/1300238*c_1001_3 + 6803787/2600476, c_1001_3^10 + 3/4*c_1001_3^9 - 17/4*c_1001_3^8 - 25/4*c_1001_3^7 + 53/4*c_1001_3^6 - 29/4*c_1001_3^5 + 69/4*c_1001_3^4 - 24*c_1001_3^3 + 29/2*c_1001_3^2 - 13/4*c_1001_3 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB