Magma V2.19-8 Tue Aug 20 2013 23:47:50 on localhost [Seed = 4020864390] Type ? for help. Type -D to quit. Loading file "L11n227__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n227 geometric_solution 11.39673402 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 1 1 0 0 0 0 -1 0 0 1 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 1 -1 0 -5 0 0 5 4 0 0 -4 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.660122177885 0.956533954631 0 5 5 6 0132 0132 0321 0132 0 1 1 1 0 0 0 0 1 0 0 -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 1 0 -1 5 0 0 -5 0 0 0 0 -4 -1 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.284041829466 0.823201667607 7 0 8 3 0132 0132 0132 3012 1 1 1 1 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 -5 0 4 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 0.568083658933 1.646403335214 4 9 2 0 1230 0132 1230 0132 1 1 1 1 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 -1 1 0 0 0 0 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.673788813447 0.396122045545 6 3 0 9 0213 3012 0132 0132 1 1 1 1 0 0 0 0 0 0 -1 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 0 0 0 -5 5 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.329826638839 0.928246442289 7 1 1 8 1023 0132 0321 3201 0 1 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 5 0 -5 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 0.284041829466 0.823201667607 4 10 1 10 0213 0132 0132 0213 0 1 1 1 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 -1 0 0 5 -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 0.601515570081 0.691616690418 2 5 10 9 0132 1023 2103 3120 1 1 1 1 0 -1 1 0 1 0 0 -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 -5 5 0 5 0 0 -5 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.019560018537 0.651171149920 11 5 11 2 0132 2310 3012 0132 1 1 1 0 0 0 0 0 1 0 0 -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 1 0 -1 4 0 0 -4 0 0 0 0 -4 -1 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.359364392844 0.610725609422 7 3 4 11 3120 0132 0132 0132 1 1 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 0 0 0 5 0 -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 0.812721503624 0.542765024479 7 6 11 6 2103 0132 2031 0213 0 1 1 1 0 0 0 0 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 0 -1 1 0 0 0 0 -5 0 0 5 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.601515570081 0.691616690418 8 8 9 10 0132 1230 0132 1302 1 1 0 1 0 0 0 0 -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 0 0 0 -4 0 0 4 4 -5 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.817763352882 0.779583614263 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0101_8']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0011_11'], 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : d['c_1001_11'], 'c_1001_2' : negation(d['c_0011_3']), 'c_1001_9' : negation(d['c_0101_3']), 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_11' : d['c_0101_8'], 'c_1010_10' : d['c_1001_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_11'], '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_1100_8' : negation(d['c_1001_11']), 'c_1100_5' : d['c_0011_11'], 'c_1100_4' : d['c_0101_10'], 'c_1100_7' : negation(d['c_0101_9']), 'c_1100_6' : d['c_1001_5'], 'c_1100_1' : d['c_1001_5'], 'c_1100_0' : d['c_0101_10'], 'c_1100_3' : d['c_0101_10'], 'c_1100_2' : negation(d['c_1001_11']), 's_3_11' : d['1'], 'c_1100_9' : d['c_0101_10'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : negation(d['c_0101_8']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_3'], 'c_1010_6' : negation(d['c_0101_8']), 'c_1010_5' : d['c_0011_11'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0011_3']), 'c_1010_9' : d['c_1001_11'], 'c_1010_8' : negation(d['c_0011_3']), '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_3']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0110_6' : negation(d['c_0101_9']), '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_8'], 'c_0110_10' : d['c_0101_9'], 'c_0011_6' : negation(d['c_0011_10']), 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : negation(d['c_0011_10']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : negation(d['c_0011_10']), 'c_0101_0' : d['c_0011_4'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0011_4'], 'c_0110_0' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0101_10'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0101_11'], 'c_0011_10' : d['c_0011_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_10, c_0011_11, c_0011_3, c_0011_4, c_0101_10, c_0101_11, c_0101_3, c_0101_8, c_0101_9, c_1001_11, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 50792393/543492*c_1001_5^9 + 565044955/3260952*c_1001_5^8 + 912055/1086984*c_1001_5^7 + 40548997/1630476*c_1001_5^6 + 24796885/815238*c_1001_5^5 + 215165623/1630476*c_1001_5^4 + 45409298/135873*c_1001_5^3 - 179118395/815238*c_1001_5^2 + 28089695/815238*c_1001_5 + 8172967/815238, c_0011_0 - 1, c_0011_10 + 378/487*c_1001_5^9 + 639/974*c_1001_5^8 + 537/487*c_1001_5^7 + 435/487*c_1001_5^6 - 1399/974*c_1001_5^5 + 1365/487*c_1001_5^4 - 389/487*c_1001_5^3 + 1738/487*c_1001_5^2 - 367/487*c_1001_5 - 647/487, c_0011_11 - 1, c_0011_3 + 120/487*c_1001_5^9 + 658/487*c_1001_5^8 + 1199/974*c_1001_5^7 + 857/487*c_1001_5^6 + 435/487*c_1001_5^5 - 919/974*c_1001_5^4 + 1925/487*c_1001_5^3 - 229/487*c_1001_5^2 + 2218/487*c_1001_5 - 847/487, c_0011_4 + 1125/974*c_1001_5^9 + 345/487*c_1001_5^8 + 573/487*c_1001_5^7 + 1399/974*c_1001_5^6 - 609/487*c_1001_5^5 + 2153/487*c_1001_5^4 - 1234/487*c_1001_5^3 + 1879/487*c_1001_5^2 - 1352/487*c_1001_5 + 504/487, c_0101_10 + 348/487*c_1001_5^9 + 155/487*c_1001_5^8 + 409/974*c_1001_5^7 - 388/487*c_1001_5^6 - 930/487*c_1001_5^5 + 2351/974*c_1001_5^4 - 1479/487*c_1001_5^3 + 1430/487*c_1001_5^2 - 2626/487*c_1001_5 + 417/487, c_0101_11 + 105/974*c_1001_5^9 + 941/974*c_1001_5^8 + 555/974*c_1001_5^7 + 689/974*c_1001_5^6 + 685/974*c_1001_5^5 - 1163/974*c_1001_5^4 + 1177/487*c_1001_5^3 - 922/487*c_1001_5^2 + 666/487*c_1001_5 - 401/487, c_0101_3 + 645/487*c_1001_5^9 + 980/487*c_1001_5^8 + 1183/487*c_1001_5^7 + 2273/974*c_1001_5^6 - 559/974*c_1001_5^5 + 4009/974*c_1001_5^4 + 546/487*c_1001_5^3 + 2239/487*c_1001_5^2 + 112/487*c_1001_5 + 13/487, c_0101_8 - 321/974*c_1001_5^9 - 40/487*c_1001_5^8 + 947/974*c_1001_5^7 + 540/487*c_1001_5^6 + 967/974*c_1001_5^5 - 52/487*c_1001_5^4 + 256/487*c_1001_5^3 + 982/487*c_1001_5^2 + 1039/487*c_1001_5 - 249/487, c_0101_9 - 1341/974*c_1001_5^9 - 645/487*c_1001_5^8 - 796/487*c_1001_5^7 - 1091/974*c_1001_5^6 + 948/487*c_1001_5^5 - 2056/487*c_1001_5^4 + 232/487*c_1001_5^3 - 2306/487*c_1001_5^2 + 622/487*c_1001_5 + 307/487, c_1001_11 + 615/974*c_1001_5^9 + 773/487*c_1001_5^8 + 547/487*c_1001_5^7 + 1531/974*c_1001_5^6 + 232/487*c_1001_5^5 + 177/487*c_1001_5^4 + 1676/487*c_1001_5^3 - 739/487*c_1001_5^2 + 1118/487*c_1001_5 - 1166/487, c_1001_5^10 + 7/3*c_1001_5^9 + 7/3*c_1001_5^8 + 8/3*c_1001_5^7 + 2*c_1001_5^5 + 14/3*c_1001_5^4 + 4/3*c_1001_5^3 + 4*c_1001_5^2 - 4*c_1001_5 + 4/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.310 seconds, Total memory usage: 32.09MB