Magma V2.19-8 Tue Aug 20 2013 23:53:23 on localhost [Seed = 3684544555] Type ? for help. Type -D to quit. Loading file "L13n5890__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n5890 geometric_solution 10.00378453 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 1 2 3 0132 1302 0132 0132 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 0 0 0 0 1 -1 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 0.252186665886 0.753215215613 0 4 5 0 0132 0132 0132 2031 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 0 0 0 0 -1 1 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 0.663803702499 0.668598734596 5 6 7 0 1302 0132 0132 0132 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 0 0 0 1 0 -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 -0.138643723190 0.396546346552 8 9 0 8 0132 0132 0132 1023 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 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 -0.020773694548 0.743016458648 10 1 10 6 0132 0132 3012 3120 1 0 1 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 0 0 0 0 2 1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.554355656304 0.455105896272 9 2 6 1 2031 2031 3120 0132 1 0 1 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 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 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 0.962982357367 0.668329437043 4 2 5 11 3120 0132 3120 0132 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 0 0 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 0 0 0 0 0 0 0 0 0 0 0.874530225964 0.931561776186 11 8 8 2 1023 0132 1023 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.830828359599 1.735539165331 3 7 7 3 0132 0132 1023 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.925657695546 0.826126727675 11 3 5 10 0132 0132 1302 0132 0 0 1 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 0 0 0 0 0 0 0 0 1 0 -1 2 0 -2 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 0.099319268032 0.352605236658 4 4 9 11 0132 1230 0132 1023 0 0 1 1 0 -1 0 1 1 0 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 1 1 -2 -1 0 0 1 -2 3 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.098402988339 1.121723373240 9 7 6 10 0132 1023 0132 1023 0 0 1 1 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 1 -1 -2 0 0 2 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.258564381586 0.873408512069 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_7'], 'c_1001_10' : d['c_0101_6'], 'c_1001_5' : negation(d['c_0101_0']), 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : d['c_0101_8'], 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : d['c_0011_2'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : d['c_0101_7'], 'c_1001_9' : d['c_0101_1'], 'c_1001_8' : d['c_0101_7'], 'c_1010_11' : negation(d['c_0011_5']), 'c_1010_10' : negation(d['c_0011_5']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], 'c_0101_10' : d['c_0101_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_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_11'], 'c_0011_10' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0101_6']), 'c_1100_4' : negation(d['c_0101_6']), 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : negation(d['c_0101_5']), 'c_1100_1' : negation(d['c_0101_6']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0101_5'], 'c_1100_11' : negation(d['c_0101_5']), 'c_1100_10' : d['c_0101_5'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_7'], 'c_1010_6' : d['c_0101_7'], 'c_1010_5' : d['c_0011_2'], 'c_1010_4' : d['c_0011_2'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_0101_6'], 'c_1010_9' : d['c_0101_6'], 'c_1010_8' : d['c_0101_8'], 'c_1100_8' : negation(d['c_1100_0']), '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' : negation(d['c_0011_11']), '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_11'], 'c_0011_6' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_0110_11' : negation(d['c_0011_5']), 'c_0110_10' : negation(d['c_0011_5']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_5']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_5']), 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], '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_8'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0011_5']), 'c_0110_6' : d['c_0101_10']})} 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_11, c_0011_2, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_5, c_0101_6, c_0101_7, c_0101_8, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 33663037/2852848*c_1100_0^13 + 5785009/178303*c_1100_0^12 + 80497081/2852848*c_1100_0^11 - 149121613/2852848*c_1100_0^10 - 130682109/1426424*c_1100_0^9 - 127093/38552*c_1100_0^8 + 168378159/1426424*c_1100_0^7 - 51792123/713212*c_1100_0^6 - 772993659/2852848*c_1100_0^5 - 376231145/2852848*c_1100_0^4 + 802293881/2852848*c_1100_0^3 + 804804385/2852848*c_1100_0^2 + 48700671/713212*c_1100_0 - 157909521/2852848, c_0011_0 - 1, c_0011_11 - 259/632*c_1100_0^13 - 485/316*c_1100_0^12 - 1365/632*c_1100_0^11 + 527/632*c_1100_0^10 + 813/158*c_1100_0^9 + 597/158*c_1100_0^8 - 617/158*c_1100_0^7 - 411/316*c_1100_0^6 + 7487/632*c_1100_0^5 + 9315/632*c_1100_0^4 - 4025/632*c_1100_0^3 - 12439/632*c_1100_0^2 - 4351/316*c_1100_0 - 1095/632, c_0011_2 + c_1100_0, c_0011_5 + 23/79*c_1100_0^13 + 125/158*c_1100_0^12 + 171/316*c_1100_0^11 - 197/158*c_1100_0^10 - 257/158*c_1100_0^9 + 291/316*c_1100_0^8 + 327/158*c_1100_0^7 - 965/316*c_1100_0^6 - 975/158*c_1100_0^5 - 21/316*c_1100_0^4 + 1513/316*c_1100_0^3 + 341/158*c_1100_0^2 - 9/79*c_1100_0 + 349/316, c_0101_0 - 1, c_0101_1 + 33/316*c_1100_0^13 + 191/316*c_1100_0^12 + 349/316*c_1100_0^11 + 39/316*c_1100_0^10 - 691/316*c_1100_0^9 - 145/79*c_1100_0^8 + 621/316*c_1100_0^7 + 261/158*c_1100_0^6 - 895/158*c_1100_0^5 - 1239/158*c_1100_0^4 + 705/316*c_1100_0^3 + 2503/316*c_1100_0^2 + 1361/316*c_1100_0 - 135/316, c_0101_10 + 7/316*c_1100_0^13 + 43/158*c_1100_0^12 + 323/316*c_1100_0^11 + 353/316*c_1100_0^10 - 54/79*c_1100_0^9 - 423/158*c_1100_0^8 + 6/79*c_1100_0^7 + 218/79*c_1100_0^6 - 339/316*c_1100_0^5 - 2989/316*c_1100_0^4 - 1373/316*c_1100_0^3 + 1455/316*c_1100_0^2 + 835/158*c_1100_0 - 43/316, c_0101_5 + 857/1264*c_1100_0^13 + 471/316*c_1100_0^12 + 1015/1264*c_1100_0^11 - 3325/1264*c_1100_0^10 - 1203/632*c_1100_0^9 + 407/158*c_1100_0^8 + 2293/632*c_1100_0^7 - 4957/632*c_1100_0^6 - 12499/1264*c_1100_0^5 + 1253/1264*c_1100_0^4 + 10107/1264*c_1100_0^3 + 1625/1264*c_1100_0^2 - 727/316*c_1100_0 - 231/1264, c_0101_6 + 33/316*c_1100_0^13 + 191/316*c_1100_0^12 + 349/316*c_1100_0^11 + 39/316*c_1100_0^10 - 691/316*c_1100_0^9 - 145/79*c_1100_0^8 + 621/316*c_1100_0^7 + 261/158*c_1100_0^6 - 895/158*c_1100_0^5 - 1239/158*c_1100_0^4 + 705/316*c_1100_0^3 + 2503/316*c_1100_0^2 + 1045/316*c_1100_0 - 135/316, c_0101_7 - 23/79*c_1100_0^13 - 125/158*c_1100_0^12 - 171/316*c_1100_0^11 + 197/158*c_1100_0^10 + 257/158*c_1100_0^9 - 291/316*c_1100_0^8 - 327/158*c_1100_0^7 + 965/316*c_1100_0^6 + 975/158*c_1100_0^5 + 21/316*c_1100_0^4 - 1513/316*c_1100_0^3 - 499/158*c_1100_0^2 + 9/79*c_1100_0 - 349/316, c_0101_8 - 45/632*c_1100_0^13 + 17/316*c_1100_0^12 + 271/632*c_1100_0^11 + 349/632*c_1100_0^10 - 93/158*c_1100_0^9 - 373/316*c_1100_0^8 + 63/158*c_1100_0^7 + 157/79*c_1100_0^6 - 439/632*c_1100_0^5 - 2589/632*c_1100_0^4 - 473/632*c_1100_0^3 + 1571/632*c_1100_0^2 + 749/316*c_1100_0 - 491/632, c_1100_0^14 + 3*c_1100_0^13 + 3*c_1100_0^12 - 4*c_1100_0^11 - 9*c_1100_0^10 - 2*c_1100_0^9 + 10*c_1100_0^8 - 4*c_1100_0^7 - 25*c_1100_0^6 - 16*c_1100_0^5 + 22*c_1100_0^4 + 30*c_1100_0^3 + 11*c_1100_0^2 - 3*c_1100_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB