Magma V2.19-8 Wed Aug 21 2013 00:52:25 on localhost [Seed = 2530247477] Type ? for help. Type -D to quit. Loading file "L12a1829__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L12a1829 geometric_solution 12.87441766 oriented_manifold CS_known 0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 1230 2 2 1 2 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 4 -3 -1 0 0 0 0 -1 3 0 -2 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.491918497534 0.963604724766 0 4 4 5 0132 0132 1302 0132 2 2 2 1 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 0 0 0 0 0 -3 3 -3 3 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.579742856951 0.823229398140 0 0 4 6 3012 0132 0132 0132 2 2 2 1 0 1 0 -1 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 -4 0 4 1 0 -1 0 0 0 0 0 2 -3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.428153441729 0.812016728364 7 8 7 0 0132 0132 2031 0132 2 2 2 2 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 -3 0 3 0 0 0 0 1 -4 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.444018934530 0.915158326536 1 1 9 2 2031 0132 0132 0132 2 2 1 2 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 -1 1 1 0 0 -1 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.428153441729 0.812016728364 10 11 1 10 0132 0132 0132 2031 2 2 0 2 0 0 0 0 -1 0 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 3 0 -3 0 1 1 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.484882836798 0.798128916702 9 11 2 12 1302 1302 0132 0132 2 2 2 2 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 4 -4 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 0.370713255242 0.645408445072 3 9 10 3 0132 2031 0132 1302 2 2 2 2 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 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 0.570858366044 0.884495027208 11 3 11 10 2310 0132 1302 1302 2 0 2 2 0 -1 0 1 0 0 0 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 3 0 -3 0 0 -1 1 -4 0 0 4 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.570858366044 0.884495027208 7 6 12 4 1302 2031 2310 0132 2 2 2 2 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 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.370713255242 0.645408445072 5 5 8 7 0132 1302 2031 0132 2 2 2 0 0 0 1 -1 1 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 0 -4 4 -3 0 3 0 0 0 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.444018934530 0.915158326536 8 5 8 6 2031 0132 3201 2031 2 2 2 0 0 0 0 0 0 0 -1 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 0 0 0 0 4 -4 4 0 0 -4 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.570858366044 0.884495027208 12 9 6 12 3012 3201 0132 1230 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.330818798691 1.165038456279 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_12'], 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_0101_10'], 'c_1001_12' : negation(d['c_0011_3']), 'c_1001_5' : d['c_0011_6'], 'c_1001_4' : d['c_0011_6'], 'c_1001_7' : negation(d['c_0101_4']), 'c_1001_6' : d['c_0110_11'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0110_11'], 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : negation(d['c_0101_12']), 'c_1001_8' : d['c_0110_11'], 'c_1010_12' : d['c_0101_12'], 'c_1010_11' : d['c_0011_6'], 'c_1010_10' : negation(d['c_0101_4']), '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_10'], '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' : d['1'], 's_2_5' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : d['c_0011_12'], 'c_1100_7' : d['c_0101_3'], 'c_1100_6' : d['c_0011_12'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : negation(d['c_0011_9']), 'c_1100_3' : negation(d['c_0011_9']), 'c_1100_2' : d['c_0011_12'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_3'], 'c_1100_10' : d['c_0101_3'], 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_0011_9'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0110_11'], 'c_1010_2' : d['c_0110_11'], 'c_1010_1' : d['c_0011_6'], 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : d['c_0011_6'], 'c_1010_8' : negation(d['c_0101_3']), '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' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_12'], 's_1_7' : 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' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0101_0'], 'c_0110_12' : d['c_0011_12'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : negation(d['c_0011_9']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_3'], 'c_0101_8' : negation(d['c_0011_10']), 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : negation(d['c_0101_10']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_12'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_9']), 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_3'], 'c_1100_8' : d['c_0101_10']})} 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_3, c_0011_6, c_0011_9, c_0101_0, c_0101_10, c_0101_12, c_0101_2, c_0101_3, c_0101_4, c_0110_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 531768013/234897408*c_0110_11 - 39349030121/6342230016, c_0011_0 - 1, c_0011_10 + 1, c_0011_12 + 1/6*c_0110_11 - 1/6, c_0011_3 - 1/2*c_0110_11 + 1/2, c_0011_6 + 1/8*c_0110_11 + 9/8, c_0011_9 + 5/8*c_0110_11 - 3/8, c_0101_0 - 1, c_0101_10 - 27/64*c_0110_11 - 35/64, c_0101_12 + 1/3*c_0110_11 - 1/3, c_0101_2 - 3/8*c_0110_11 - 3/8, c_0101_3 + 5/16*c_0110_11 - 3/16, c_0101_4 + 1/2*c_0110_11 + 3/2, c_0110_11^2 + 22/27*c_0110_11 + 59/27 ], 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_3, c_0011_6, c_0011_9, c_0101_0, c_0101_10, c_0101_12, c_0101_2, c_0101_3, c_0101_4, c_0110_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 3810463/4394*c_0110_11^9 - 29781223/2197*c_0110_11^8 + 388977773/4394*c_0110_11^7 - 1379711105/4394*c_0110_11^6 + 2929597557/4394*c_0110_11^5 - 1964995651/2197*c_0110_11^4 + 1719546841/2197*c_0110_11^3 - 963397081/2197*c_0110_11^2 + 314401950/2197*c_0110_11 - 93209937/4394, c_0011_0 - 1, c_0011_10 + 1, c_0011_12 + c_0110_11^7 - 12*c_0110_11^6 + 57*c_0110_11^5 - 137*c_0110_11^4 + 185*c_0110_11^3 - 150*c_0110_11^2 + 69*c_0110_11 - 14, c_0011_3 - 1, c_0011_6 - 1/2*c_0110_11^9 + 8*c_0110_11^8 - 54*c_0110_11^7 + 401/2*c_0110_11^6 - 452*c_0110_11^5 + 1301/2*c_0110_11^4 - 612*c_0110_11^3 + 370*c_0110_11^2 - 131*c_0110_11 + 21, c_0011_9 - 1/2*c_0110_11^9 + 8*c_0110_11^8 - 54*c_0110_11^7 + 401/2*c_0110_11^6 - 452*c_0110_11^5 + 1301/2*c_0110_11^4 - 612*c_0110_11^3 + 370*c_0110_11^2 - 131*c_0110_11 + 21, c_0101_0 - 1, c_0101_10 - 7/2*c_0110_11^9 + 53*c_0110_11^8 - 332*c_0110_11^7 + 1114*c_0110_11^6 - 2200*c_0110_11^5 + 5405/2*c_0110_11^4 - 4277/2*c_0110_11^3 + 1048*c_0110_11^2 - 569/2*c_0110_11 + 31, c_0101_12 - 3/2*c_0110_11^9 + 47/2*c_0110_11^8 - 155*c_0110_11^7 + 561*c_0110_11^6 - 2461/2*c_0110_11^5 + 3445/2*c_0110_11^4 - 1580*c_0110_11^3 + 935*c_0110_11^2 - 653/2*c_0110_11 + 52, c_0101_2 - 1/2*c_0110_11^9 + 8*c_0110_11^8 - 54*c_0110_11^7 + 401/2*c_0110_11^6 - 452*c_0110_11^5 + 1301/2*c_0110_11^4 - 612*c_0110_11^3 + 370*c_0110_11^2 - 132*c_0110_11 + 21, c_0101_3 - 1/2*c_0110_11^9 + 7*c_0110_11^8 - 39*c_0110_11^7 + 108*c_0110_11^6 - 299/2*c_0110_11^5 + 155/2*c_0110_11^4 + 95/2*c_0110_11^3 - 205/2*c_0110_11^2 + 125/2*c_0110_11 - 29/2, c_0101_4 + c_0110_11, c_0110_11^10 - 16*c_0110_11^9 + 108*c_0110_11^8 - 402*c_0110_11^7 + 916*c_0110_11^6 - 1358*c_0110_11^5 + 1361*c_0110_11^4 - 924*c_0110_11^3 + 410*c_0110_11^2 - 108*c_0110_11 + 13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.280 seconds, Total memory usage: 32.09MB