Magma V2.19-8 Tue Aug 20 2013 23:40:50 on localhost [Seed = 2749744968] Type ? for help. Type -D to quit. Loading file "K12n414__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n414 geometric_solution 10.76672329 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 3 0132 0132 0132 0321 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.529987351489 0.742132845778 0 4 6 5 0132 0132 0132 0132 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 1 0 -1 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 -0.059552779247 1.318902384556 7 0 4 8 0132 0132 2031 0132 0 0 0 0 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 -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 -0.062908771591 0.828249449070 5 0 9 0 1023 0321 0132 0132 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 1 -1 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 0 0 0.362726167124 0.892364396628 10 1 11 2 0132 0132 0132 1302 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 -1 0 1 0 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 1.218287957661 1.329597929627 11 3 1 10 0213 1023 0132 0213 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 0 0 0 0 0 0 0 0 0 0.175432122993 0.785892830301 11 9 7 1 2310 1230 0321 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.063123979394 1.084747488024 2 10 6 9 0132 0132 0321 2031 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 0 0 0 0 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 0.873756566348 0.590263955380 11 10 2 9 1023 3201 0132 3120 0 0 0 0 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 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 1.263792656009 1.314050944968 8 7 6 3 3120 1302 3012 0132 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 -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 0.257367012899 0.589611540113 4 7 8 5 0132 0132 2310 0213 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 0 0 0 0 0 0 0 0 0 0.419624346200 0.316910100623 5 8 6 4 0213 1023 3201 0132 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 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 0 0 0.641590273838 0.502641118026 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_6']), 'c_1001_10' : d['c_0011_9'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : negation(d['c_1001_3']), 'c_1001_1' : d['c_0101_9'], 'c_1001_0' : negation(d['c_0101_10']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0101_10']), 'c_1001_9' : negation(d['c_0011_6']), 'c_1001_8' : negation(d['c_0101_10']), 'c_1010_11' : d['c_0101_3'], 'c_1010_10' : d['c_1001_7'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_3'], '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_1100_9' : d['c_1001_3'], 'c_1100_8' : negation(d['c_0101_9']), 'c_1100_5' : d['c_1001_7'], 'c_1100_4' : negation(d['c_0011_6']), 'c_1100_7' : negation(d['c_1001_3']), 'c_1100_6' : d['c_1001_7'], 'c_1100_1' : d['c_1001_7'], 'c_1100_0' : d['c_1001_3'], 'c_1100_3' : d['c_1001_3'], 'c_1100_2' : negation(d['c_0101_9']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_6']), 'c_1100_10' : d['c_0011_11'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_9'], 'c_1010_6' : d['c_0101_9'], 'c_1010_5' : d['c_0011_11'], 'c_1010_4' : d['c_0101_9'], 'c_1010_3' : negation(d['c_0101_10']), 'c_1010_2' : negation(d['c_0101_10']), 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : negation(d['c_0101_10']), 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : negation(d['c_0011_9']), '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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_11'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : 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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_4'], 'c_0110_10' : d['c_0101_4'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0101_6']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_11'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_6']), 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0011_11'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0101_6']), 'c_0011_10' : negation(d['c_0011_0']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0011_11'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0011_11'], 'c_0110_2' : negation(d['c_0101_6']), 'c_0110_5' : negation(d['c_0101_4']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0011_6']), 'c_0110_6' : negation(d['c_0011_3'])})} 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_3, c_0011_6, c_0011_9, c_0101_10, c_0101_3, c_0101_4, c_0101_6, c_0101_9, c_1001_3, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 5245/779*c_1001_7^10 - 19859/779*c_1001_7^9 + 145366/779*c_1001_7^8 + 1129557/779*c_1001_7^7 + 3337107/779*c_1001_7^6 + 5890510/779*c_1001_7^5 + 6847284/779*c_1001_7^4 + 5402305/779*c_1001_7^3 + 2731198/779*c_1001_7^2 + 805040/779*c_1001_7 + 99248/779, c_0011_0 - 1, c_0011_11 - 156/41*c_1001_7^10 - 1598/41*c_1001_7^9 - 6545/41*c_1001_7^8 - 14550/41*c_1001_7^7 - 20352/41*c_1001_7^6 - 18193/41*c_1001_7^5 - 9766/41*c_1001_7^4 - 1759/41*c_1001_7^3 + 884/41*c_1001_7^2 + 560/41*c_1001_7 + 61/41, c_0011_3 + 140/41*c_1001_7^10 + 1473/41*c_1001_7^9 + 6269/41*c_1001_7^8 + 14663/41*c_1001_7^7 + 21819/41*c_1001_7^6 + 21328/41*c_1001_7^5 + 13267/41*c_1001_7^4 + 3965/41*c_1001_7^3 - 438/41*c_1001_7^2 - 819/41*c_1001_7 - 224/41, c_0011_6 - 45/41*c_1001_7^10 - 472/41*c_1001_7^9 - 2037/41*c_1001_7^8 - 4984/41*c_1001_7^7 - 7987/41*c_1001_7^6 - 8513/41*c_1001_7^5 - 5941/41*c_1001_7^4 - 2134/41*c_1001_7^3 + 50/41*c_1001_7^2 + 417/41*c_1001_7 + 113/41, c_0011_9 - 88/41*c_1001_7^10 - 913/41*c_1001_7^9 - 3855/41*c_1001_7^8 - 9116/41*c_1001_7^7 - 14092/41*c_1001_7^6 - 14594/41*c_1001_7^5 - 9957/41*c_1001_7^4 - 3652/41*c_1001_7^3 - 48/41*c_1001_7^2 + 646/41*c_1001_7 + 231/41, c_0101_10 - 145/41*c_1001_7^10 - 1530/41*c_1001_7^9 - 6550/41*c_1001_7^8 - 15481/41*c_1001_7^7 - 23367/41*c_1001_7^6 - 23185/41*c_1001_7^5 - 14615/41*c_1001_7^4 - 4439/41*c_1001_7^3 + 562/41*c_1001_7^2 + 961/41*c_1001_7 + 232/41, c_0101_3 + 168/41*c_1001_7^10 + 1825/41*c_1001_7^9 + 8105/41*c_1001_7^8 + 19949/41*c_1001_7^7 + 31316/41*c_1001_7^6 + 32539/41*c_1001_7^5 + 21726/41*c_1001_7^4 + 7505/41*c_1001_7^3 - 378/41*c_1001_7^2 - 1360/41*c_1001_7 - 400/41, c_0101_4 + 183/41*c_1001_7^10 + 1955/41*c_1001_7^9 + 8497/41*c_1001_7^8 + 20394/41*c_1001_7^7 + 31163/41*c_1001_7^6 + 31304/41*c_1001_7^5 + 19989/41*c_1001_7^4 + 6221/41*c_1001_7^3 - 709/41*c_1001_7^2 - 1253/41*c_1001_7 - 301/41, c_0101_6 - 144/41*c_1001_7^10 - 1535/41*c_1001_7^9 - 6666/41*c_1001_7^8 - 16039/41*c_1001_7^7 - 24681/41*c_1001_7^6 - 25085/41*c_1001_7^5 - 16379/41*c_1001_7^4 - 5361/41*c_1001_7^3 + 406/41*c_1001_7^2 + 1031/41*c_1001_7 + 296/41, c_0101_9 - 45/41*c_1001_7^10 - 472/41*c_1001_7^9 - 2037/41*c_1001_7^8 - 4984/41*c_1001_7^7 - 7987/41*c_1001_7^6 - 8513/41*c_1001_7^5 - 5941/41*c_1001_7^4 - 2134/41*c_1001_7^3 + 50/41*c_1001_7^2 + 417/41*c_1001_7 + 113/41, c_1001_3 + 122/41*c_1001_7^10 + 1235/41*c_1001_7^9 + 4995/41*c_1001_7^8 + 11013/41*c_1001_7^7 + 15418/41*c_1001_7^6 + 13831/41*c_1001_7^5 + 7504/41*c_1001_7^4 + 1373/41*c_1001_7^3 - 705/41*c_1001_7^2 - 480/41*c_1001_7 - 64/41, c_1001_7^11 + 11*c_1001_7^10 + 50*c_1001_7^9 + 128*c_1001_7^8 + 213*c_1001_7^7 + 241*c_1001_7^6 + 185*c_1001_7^5 + 87*c_1001_7^4 + 16*c_1001_7^3 - 7*c_1001_7^2 - 5*c_1001_7 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.600 Total time: 0.800 seconds, Total memory usage: 32.09MB