Magma V2.19-8 Tue Aug 20 2013 23:53:43 on localhost [Seed = 3035815730] Type ? for help. Type -D to quit. Loading file "L13n7291__sl2_c6.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n7291 geometric_solution 11.16470021 oriented_manifold CS_known -0.0000000000000003 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 2 1 1 2 0 0 0 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 0 0 0 0 0 1 -1 0 1 0 -2 1 -2 2 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.240634303751 1.274355975358 0 5 6 3 0132 0132 0132 1302 1 1 2 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 0 0 0 -1 0 1 0 -1 0 0 1 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.542078794413 0.777350393376 7 0 6 4 0132 0132 3120 0321 2 1 2 1 0 0 0 0 0 0 1 -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 -1 1 0 0 0 -1 1 0 1 0 -1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.203509370212 1.071110097046 7 7 1 0 3201 0132 2031 0132 2 1 2 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 0 0 0 0 0 -1 1 -2 0 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 0.462655233402 0.533786796431 8 2 0 5 0132 0321 0132 3012 2 1 2 1 0 0 0 0 -1 0 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 2 0 -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 -0.022453301323 1.107668682312 7 1 4 9 2310 0132 1230 0132 1 2 1 2 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 0.569449995661 0.581154503880 10 11 2 1 0132 0132 3120 0132 1 1 1 2 0 0 0 0 0 0 -1 1 0 1 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 0 -2 0 2 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.055417811377 1.105672100578 2 3 5 3 0132 0132 3201 2310 2 1 1 2 0 0 0 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 0 0 0 0 0 0 0 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.667162323694 0.658464070108 4 9 11 10 0132 2031 1302 0132 0 1 1 2 0 1 0 -1 1 0 -1 0 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 -1 -1 -2 0 2 0 -1 0 0 1 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.527708905689 0.552836050289 8 11 5 10 1302 0213 0132 3201 1 2 0 1 0 0 -1 1 1 0 0 -1 -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 1 -1 2 0 0 -2 -2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.477391225295 0.451080452267 6 9 8 11 0132 2310 0132 1023 0 1 2 1 0 -1 1 0 0 0 0 0 -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 -1 1 0 0 0 0 0 -2 2 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.893329082890 1.045678243232 8 6 9 10 2031 0132 0213 1023 1 0 2 1 0 0 0 0 0 0 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 1 0 -1 0 -1 1 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.477391225295 0.451080452267 ==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_0011_9'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_7' : negation(d['c_0101_5']), 'c_1001_6' : d['c_0101_6'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_5']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0101_6']), 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : d['c_0110_11'], 'c_1010_11' : d['c_0101_6'], 'c_1010_10' : d['c_0110_11'], 's_0_10' : negation(d['1']), 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0011_9'], 'c_0101_10' : d['c_0101_1'], 's_2_0' : negation(d['1']), 's_2_1' : negation(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_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : negation(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' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_10'], 'c_1100_8' : d['c_0011_9'], 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : negation(d['c_1001_5']), 'c_1100_7' : negation(d['c_0011_0']), 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : negation(d['c_1001_5']), 'c_1100_3' : negation(d['c_1001_5']), 'c_1100_2' : negation(d['c_0101_6']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_10']), 'c_1100_11' : negation(d['c_0011_9']), 'c_1100_10' : d['c_0011_9'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_0']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0101_5']), 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0101_6']), 'c_1010_9' : negation(d['c_0011_9']), 'c_1010_8' : d['c_0011_9'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(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' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0101_6'], 'c_0101_7' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_2']), '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_0011_4'], 'c_0101_8' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0110_11']), 'c_0110_8' : d['c_0101_1'], '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_0011_4']), 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : negation(d['c_0011_10']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} 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_4, c_0011_9, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6, c_0110_11, c_1001_1, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 356250/131657*c_1001_5^6 - 3416023/131657*c_1001_5^5 + 12961865/131657*c_1001_5^4 - 51606411/263314*c_1001_5^3 + 54488853/263314*c_1001_5^2 - 13249071/131657*c_1001_5 + 1024740/131657, c_0011_0 - 1, c_0011_10 - 27/137*c_1001_5^6 + 268/137*c_1001_5^5 - 2127/274*c_1001_5^4 + 4317/274*c_1001_5^3 - 4291/274*c_1001_5^2 + 794/137*c_1001_5 + 49/274, c_0011_4 + 35/137*c_1001_5^6 - 388/137*c_1001_5^5 + 3427/274*c_1001_5^4 - 7849/274*c_1001_5^3 + 9713/274*c_1001_5^2 - 2861/137*c_1001_5 + 931/274, c_0011_9 + 5/1096*c_1001_5^6 + 199/1096*c_1001_5^5 - 4325/2192*c_1001_5^4 + 8041/1096*c_1001_5^3 - 28361/2192*c_1001_5^2 + 23549/2192*c_1001_5 - 1371/548, c_0101_0 - 21/137*c_1001_5^6 + 178/137*c_1001_5^5 - 1289/274*c_1001_5^4 + 2901/274*c_1001_5^3 - 3855/274*c_1001_5^2 + 1333/137*c_1001_5 - 175/274, c_0101_1 - 1, c_0101_2 - 351/548*c_1001_5^6 + 3347/548*c_1001_5^5 - 25185/1096*c_1001_5^4 + 24841/548*c_1001_5^3 - 52221/1096*c_1001_5^2 + 26809/1096*c_1001_5 - 1245/274, c_0101_5 + 45/274*c_1001_5^6 - 269/137*c_1001_5^5 + 5189/548*c_1001_5^4 - 12949/548*c_1001_5^3 + 17381/548*c_1001_5^2 - 5753/274*c_1001_5 + 2019/548, c_0101_6 + 35/137*c_1001_5^6 - 388/137*c_1001_5^5 + 3427/274*c_1001_5^4 - 7849/274*c_1001_5^3 + 9713/274*c_1001_5^2 - 2861/137*c_1001_5 + 931/274, c_0110_11 - 1, c_1001_1 + 417/548*c_1001_5^6 - 3789/548*c_1001_5^5 + 27279/1096*c_1001_5^4 - 26327/548*c_1001_5^3 + 55099/1096*c_1001_5^2 - 29199/1096*c_1001_5 + 1177/274, c_1001_5^7 - 10*c_1001_5^6 + 81/2*c_1001_5^5 - 177/2*c_1001_5^4 + 217/2*c_1001_5^3 - 71*c_1001_5^2 + 39/2*c_1001_5 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB