Magma V2.19-8 Wed Aug 21 2013 00:59:09 on localhost [Seed = 695153231] Type ? for help. Type -D to quit. Loading file "L13n6596__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n6596 geometric_solution 11.98732572 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 0 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 0 0 0 -1 -1 2 -1 0 1 0 -1 4 0 -3 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.273377371382 0.897968085624 0 5 3 6 0132 0132 0321 0132 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 1 0 -1 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 0.516298443297 0.637498831601 7 0 9 8 0132 0132 0132 0132 1 1 1 0 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 1 -1 0 0 0 0 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.741303515978 1.364488498844 10 11 1 0 0132 0132 0321 0132 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 -1 0 1 0 0 1 -1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.544561085356 0.672974465786 12 7 0 8 0132 0132 0132 0213 1 0 1 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 2 -2 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 0.536725425385 0.905087463599 12 1 11 8 1023 0132 0321 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 -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 0.661578245141 0.544671630287 12 8 1 10 3120 1023 0132 0213 1 0 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 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.557244920343 1.366105498515 2 4 9 11 0132 0132 0321 3120 1 1 0 1 0 1 0 -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 0 0 0 0 0 -2 0 2 0 0 1 -1 -4 3 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.365247610731 0.395946259007 6 5 2 4 1023 0321 0132 0213 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 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.037024064452 0.874436466238 11 10 7 2 3120 3120 0321 0132 1 1 0 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 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 0.365247610731 0.395946259007 3 9 12 6 0132 3120 3120 0213 1 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.515265937815 0.817413713071 7 3 5 9 3120 0132 0321 3120 1 1 0 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 1 0 -1 1 0 -1 0 -1 1 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.692578632876 0.565858532570 4 5 10 6 0132 1023 3120 3120 1 0 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 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 1.515265937815 0.817413713071 ==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_0'], 'c_1001_10' : d['c_0101_11'], 'c_1001_12' : negation(d['c_0101_11']), 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : negation(d['c_0011_10']), 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_0101_7'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_9']), 'c_1001_2' : negation(d['c_0011_10']), 'c_1001_9' : negation(d['c_0101_11']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_0011_6']), 'c_1010_11' : negation(d['c_0011_9']), 'c_1010_10' : negation(d['c_0011_9']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_0'], 's_2_0' : 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' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_0'], 'c_1100_5' : d['c_1001_0'], 'c_1100_4' : d['c_1001_1'], 'c_1100_7' : negation(d['c_0101_11']), 'c_1100_6' : negation(d['c_0011_9']), 'c_1100_1' : negation(d['c_0011_9']), 'c_1100_0' : d['c_1001_1'], 'c_1100_3' : d['c_1001_1'], 'c_1100_2' : d['c_1001_7'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_7'], 'c_1100_10' : negation(d['c_0101_12']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : negation(d['c_0101_12']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_7'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_7'], 'c_1010_0' : negation(d['c_0011_10']), 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : d['c_1001_1'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(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' : negation(d['c_0101_0']), '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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_6'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_2'], 'c_0110_10' : negation(d['c_0101_1']), 'c_0110_12' : d['c_0101_1'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_11']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_1']), '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' : d['c_0101_7'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : negation(d['c_0101_12']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1001_7'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : d['c_0101_12'], 'c_0110_7' : d['c_0101_2'], 'c_1100_8' : d['c_1001_7']})} 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_6, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_2, c_0101_7, c_1001_0, c_1001_1, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 8050433104182426/5572546523005*c_1001_7^5 - 3774335495212896484/417940989225375*c_1001_7^4 + 4152134984227489529/59705855603625*c_1001_7^3 - 3944121786485192779/83588197845075*c_1001_7^2 + 7003337275882624906/83588197845075*c_1001_7 + 2422719190550786957/119411711207250, c_0011_0 - 1, c_0011_10 + 220156215/629310731*c_1001_7^5 - 6859862054/3146553655*c_1001_7^4 + 7554255942/449507665*c_1001_7^3 - 35104880143/3146553655*c_1001_7^2 + 65530249733/3146553655*c_1001_7 + 2204754072/449507665, c_0011_6 + 152702030/629310731*c_1001_7^5 - 4869782518/3146553655*c_1001_7^4 + 5346812003/449507665*c_1001_7^3 - 5964231584/629310731*c_1001_7^2 + 9711705195/629310731*c_1001_7 + 865270682/449507665, c_0011_9 + 55228988/89901533*c_1001_7^5 - 8654685614/2247538325*c_1001_7^4 + 66631709133/2247538325*c_1001_7^3 - 9241130466/449507665*c_1001_7^2 + 16271977578/449507665*c_1001_7 + 17029804142/2247538325, c_0101_0 - 510619574/629310731*c_1001_7^5 + 80183020047/15732768275*c_1001_7^4 - 88108987217/2247538325*c_1001_7^3 + 87059428759/3146553655*c_1001_7^2 - 30088970988/629310731*c_1001_7 - 20285219273/2247538325, c_0101_1 - 1, c_0101_11 - 81254729/629310731*c_1001_7^5 + 12809035012/15732768275*c_1001_7^4 - 14029724962/2247538325*c_1001_7^3 + 2820821842/629310731*c_1001_7^2 - 26429784586/3146553655*c_1001_7 - 3504894018/2247538325, c_0101_12 - 499671989/629310731*c_1001_7^5 + 78958384542/15732768275*c_1001_7^4 - 86645690052/2247538325*c_1001_7^3 + 89804988022/3146553655*c_1001_7^2 - 149692533138/3146553655*c_1001_7 - 19513080458/2247538325, c_0101_2 + 55228988/89901533*c_1001_7^5 - 8654685614/2247538325*c_1001_7^4 + 66631709133/2247538325*c_1001_7^3 - 9241130466/449507665*c_1001_7^2 + 16271977578/449507665*c_1001_7 + 14782265817/2247538325, c_0101_7 + 17681914/629310731*c_1001_7^5 - 2599995442/15732768275*c_1001_7^4 + 2927348907/2247538325*c_1001_7^3 - 1136689898/3146553655*c_1001_7^2 + 4768752444/3146553655*c_1001_7 + 675926118/2247538325, c_1001_0 + 81254729/629310731*c_1001_7^5 - 12809035012/15732768275*c_1001_7^4 + 14029724962/2247538325*c_1001_7^3 - 2820821842/629310731*c_1001_7^2 + 23283230931/3146553655*c_1001_7 + 3504894018/2247538325, c_1001_1 + 375655331/629310731*c_1001_7^5 - 59358163793/15732768275*c_1001_7^4 + 65168411968/2247538325*c_1001_7^3 - 13486694505/629310731*c_1001_7^2 + 113151521244/3146553655*c_1001_7 + 14010127002/2247538325, c_1001_7^6 - 153/25*c_1001_7^5 + 1183/25*c_1001_7^4 - 659/25*c_1001_7^3 + 269/5*c_1001_7^2 + 539/25*c_1001_7 + 49/25 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.190 Total time: 0.390 seconds, Total memory usage: 32.09MB