Magma V2.19-8 Wed Aug 21 2013 01:05:58 on localhost [Seed = 3903778881] Type ? for help. Type -D to quit. Loading file "L14n2__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n2 geometric_solution 12.07406134 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 0213 0 1 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 0 0 0 -1 1 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 0.042419810009 1.340779659686 0 4 6 5 0132 0132 0132 0132 1 1 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 0 0 0 0 -5 5 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 0.669302114489 0.484410322081 7 0 8 0 0132 0132 0132 0213 0 1 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 0 0 0 1 -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 0.042419810009 1.340779659686 6 8 8 0 0132 0132 0321 0132 0 1 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 0 0 0 0 0 0 0 0 1 0 -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 -0.023573246278 0.745088889256 9 1 7 10 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.632491122585 0.537008624224 6 9 1 10 2103 0213 0132 0213 1 1 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 0 0 0 1 -5 4 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 0.726238481861 0.899359221614 3 11 5 1 0132 0132 2103 0132 1 1 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 0 0 0 0 0 0 0 0 -4 -1 5 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 1.025849564170 0.777946997392 2 9 12 4 0132 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 0.577940998939 1.114310072667 12 3 3 2 0132 0132 0321 0132 0 1 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 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 -0.023573246278 0.745088889256 4 7 5 12 0132 0132 0213 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 -1 1 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 0.458158878689 0.455132343391 11 11 4 5 3012 0213 0132 0213 1 1 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 0 0 0 0 0 0 0 0 4 0 -4 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 0.655521396947 0.809883618634 12 6 10 10 1023 0132 0213 1230 1 1 1 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 0 0 0 0 0 0 0 4 -4 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 0.655521396947 0.809883618634 8 11 9 7 0132 1023 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 -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 0.042419810009 1.340779659686 ==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' : d['c_1001_1'], 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_4'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : d['c_0011_5'], 'c_1010_10' : d['c_0110_10'], 's_0_10' : d['1'], 's_0_11' : 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_0011_10'], 'c_0101_10' : d['c_0011_5'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : negation(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' : negation(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_1010_5'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_0110_10'], 'c_1100_4' : d['c_1010_5'], 'c_1100_7' : d['c_1010_5'], 'c_1100_6' : d['c_0110_10'], 'c_1100_1' : d['c_0110_10'], 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_0'], 'c_1100_2' : d['c_1001_2'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0110_10'], 'c_1100_10' : d['c_1010_5'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_4'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1010_5'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : d['c_1001_2'], 's_3_1' : negation(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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : d['c_1010_5'], '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_0']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(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_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_10'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : negation(d['c_0101_1']), 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0101_1']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_12'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_5'], 'c_0101_8' : negation(d['c_0101_1']), '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_12'], '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_1']), 'c_0110_5' : negation(d['c_0110_10']), 'c_0110_4' : d['c_0011_5'], 'c_0110_7' : d['c_0101_12'], 'c_0110_6' : d['c_0101_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_11, c_0011_5, c_0101_0, c_0101_1, c_0101_12, c_0110_10, c_1001_0, c_1001_1, c_1001_2, c_1001_4, c_1010_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 5901947508362/823977*c_1010_5^4 - 4751619804559/823977*c_1010_5^3 + 13764794541664/823977*c_1010_5^2 - 5855035690051/1647954*c_1010_5 + 976194123130/823977, c_0011_0 - 1, c_0011_10 + c_1010_5, c_0011_11 - 2928/2233*c_1010_5^4 + 1664/2233*c_1010_5^3 - 8860/2233*c_1010_5^2 + 512/2233*c_1010_5 - 57/2233, c_0011_5 + 12505/2233*c_1010_5^4 - 8286/2233*c_1010_5^3 + 29026/2233*c_1010_5^2 - 3105/2233*c_1010_5 + 135/203, c_0101_0 - 1464/2233*c_1010_5^4 + 832/2233*c_1010_5^3 - 4430/2233*c_1010_5^2 + 256/2233*c_1010_5 - 1145/2233, c_0101_1 + 1464/2233*c_1010_5^4 - 832/2233*c_1010_5^3 + 4430/2233*c_1010_5^2 - 256/2233*c_1010_5 - 1088/2233, c_0101_12 + 1464/2233*c_1010_5^4 - 832/2233*c_1010_5^3 + 4430/2233*c_1010_5^2 - 256/2233*c_1010_5 + 1145/2233, c_0110_10 - 976/319*c_1010_5^4 + 621/203*c_1010_5^3 - 2238/319*c_1010_5^2 + 4607/2233*c_1010_5 - 655/2233, c_1001_0 - 1, c_1001_1 + 13786/2233*c_1010_5^4 - 1035/319*c_1010_5^3 + 29096/2233*c_1010_5^2 - 835/2233*c_1010_5 + 159/319, c_1001_2 - 1, c_1001_4 + 3477/2233*c_1010_5^4 - 207/2233*c_1010_5^3 + 6715/2233*c_1010_5^2 + 4119/2233*c_1010_5 + 229/2233, c_1010_5^5 - 55/61*c_1010_5^4 + 147/61*c_1010_5^3 - 44/61*c_1010_5^2 + 13/61*c_1010_5 - 1/61 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_5, c_0101_0, c_0101_1, c_0101_12, c_0110_10, c_1001_0, c_1001_1, c_1001_2, c_1001_4, c_1010_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 939520/13*c_1010_5^8 - 229376/13*c_1010_5^7 + 918880/13*c_1010_5^6 + 208776/13*c_1010_5^5 - 381970/13*c_1010_5^4 - 66539/13*c_1010_5^3 + 81668/13*c_1010_5^2 + 1357/2*c_1010_5 - 8822/13, c_0011_0 - 1, c_0011_10 - 384*c_1010_5^8 - 224*c_1010_5^7 + 336*c_1010_5^6 + 186*c_1010_5^5 - 126*c_1010_5^4 - 62*c_1010_5^3 + 24*c_1010_5^2 + 9*c_1010_5 - 2, c_0011_11 + 256*c_1010_5^8 - 192*c_1010_5^7 - 480*c_1010_5^6 + 132*c_1010_5^5 + 292*c_1010_5^4 - 36*c_1010_5^3 - 84*c_1010_5^2 + 4*c_1010_5 + 11, c_0011_5 - 64*c_1010_5^7 - 16*c_1010_5^6 + 40*c_1010_5^5 - 9*c_1010_5^4 - 10*c_1010_5^3 + 6*c_1010_5^2 + c_1010_5 - 1, c_0101_0 - 128*c_1010_5^8 + 96*c_1010_5^7 + 240*c_1010_5^6 - 66*c_1010_5^5 - 146*c_1010_5^4 + 18*c_1010_5^3 + 42*c_1010_5^2 - 2*c_1010_5 - 5, c_0101_1 - 128*c_1010_5^8 + 96*c_1010_5^7 + 240*c_1010_5^6 - 66*c_1010_5^5 - 146*c_1010_5^4 + 18*c_1010_5^3 + 42*c_1010_5^2 - 2*c_1010_5 - 6, c_0101_12 + 128*c_1010_5^8 - 96*c_1010_5^7 - 240*c_1010_5^6 + 66*c_1010_5^5 + 146*c_1010_5^4 - 18*c_1010_5^3 - 42*c_1010_5^2 + 2*c_1010_5 + 5, c_0110_10 - 64*c_1010_5^6 - 16*c_1010_5^5 + 40*c_1010_5^4 + 7*c_1010_5^3 - 10*c_1010_5^2 - c_1010_5 + 1, c_1001_0 - 1, c_1001_1 + 128*c_1010_5^8 + 32*c_1010_5^7 - 144*c_1010_5^6 + 2*c_1010_5^5 + 60*c_1010_5^4 - 5*c_1010_5^3 - 12*c_1010_5^2 + c_1010_5 + 1, c_1001_2 + 1, c_1001_4 - 256*c_1010_5^8 - 128*c_1010_5^7 + 208*c_1010_5^6 + 84*c_1010_5^5 - 73*c_1010_5^4 - 17*c_1010_5^3 + 13*c_1010_5^2 + c_1010_5 - 1, c_1010_5^9 + 3/4*c_1010_5^8 - c_1010_5^7 - 51/64*c_1010_5^6 + 53/128*c_1010_5^5 + 45/128*c_1010_5^4 - 11/128*c_1010_5^3 - 5/64*c_1010_5^2 + 1/128*c_1010_5 + 1/128 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.230 Total time: 0.440 seconds, Total memory usage: 32.09MB