Magma V2.19-8 Wed Aug 21 2013 01:03:23 on localhost [Seed = 3481917378] Type ? for help. Type -D to quit. Loading file "L14n19921__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n19921 geometric_solution 12.87441766 oriented_manifold CS_known 0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 1023 1 1 1 1 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 -1 0 0 1 -1 0 -5 0 5 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.774455417006 0.794296194272 0 4 6 5 0132 0132 0132 0132 1 1 1 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 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 0 0 0 0 0 0 0.491918497534 0.963604724766 4 0 7 0 3120 0132 0132 1023 1 1 1 1 0 0 0 0 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 -1 0 1 0 0 -1 1 4 1 0 -5 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.774455417006 0.794296194272 8 6 7 0 0132 1023 0321 0132 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 0 0 0 0 0 0 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 0.491918497534 0.963604724766 6 1 9 2 1302 0132 0132 3120 1 1 1 1 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 -4 -1 5 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 0.579742856951 0.823229398140 10 10 1 11 0132 1230 0132 0132 1 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 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 0.444018934530 0.915158326536 3 4 7 1 1023 2031 2310 0132 1 1 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 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.225544582994 0.794296194272 11 6 3 2 3201 3201 0321 0132 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 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 0.491918497534 0.963604724766 3 9 10 9 0132 3012 0132 2031 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 0 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 0.444018934530 0.915158326536 8 8 12 4 1230 1302 0132 0132 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 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 0.484882836798 0.798128916702 5 12 5 8 0132 1023 3012 0132 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 0 0 0 0 0 0 0 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 0.570858366044 0.884495027208 12 12 5 7 1023 0213 0132 2310 1 1 1 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 -1 0 0 1 2 -3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.444018934530 0.915158326536 10 11 11 9 1023 1023 0213 0132 1 1 1 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 -1 1 0 0 -1 -2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.484882836798 0.798128916702 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_0011_10'], 'c_1001_12' : d['c_0101_10'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0101_6']), 'c_1001_6' : negation(d['c_0110_2']), 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : d['c_0110_2'], 'c_1001_9' : d['c_0101_3'], 'c_1001_8' : negation(d['c_0011_9']), 'c_1010_12' : d['c_0101_3'], 'c_1010_11' : negation(d['c_0101_2']), 'c_1010_10' : negation(d['c_0011_9']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : 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' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : 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' : negation(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' : negation(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_10'], 'c_1100_5' : d['c_0011_7'], 'c_1100_4' : negation(d['c_0101_2']), 'c_1100_7' : d['c_0101_6'], 'c_1100_6' : d['c_0011_7'], 'c_1100_1' : d['c_0011_7'], 'c_1100_0' : negation(d['c_0101_6']), 'c_1100_3' : negation(d['c_0101_6']), 'c_1100_2' : d['c_0101_6'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0101_2']), 'c_1100_11' : d['c_0011_7'], 'c_1100_10' : negation(d['c_1001_4']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0110_2'], 'c_1010_6' : d['c_0011_0'], 'c_1010_5' : d['c_0101_10'], 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0110_2'], 'c_1010_9' : d['c_1001_4'], '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' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : negation(d['1']), 'c_1100_12' : negation(d['c_0101_2']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : 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' : d['c_0011_7'], 'c_0110_6' : d['c_0101_1'], '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_3'], 'c_0110_10' : d['c_0101_0'], 'c_0110_12' : negation(d['c_0011_9']), 'c_0101_12' : d['c_0011_10'], 'c_0011_6' : d['c_0011_3'], 'c_0101_7' : negation(d['c_0101_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_9']), 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_3']), 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0110_2'], 'c_0110_7' : d['c_0101_2'], 'c_1100_8' : negation(d['c_1001_4'])})} 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_3, c_0011_7, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_3, c_0101_6, c_0110_2, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 31178039/38309*c_1001_4^9 + 208599250/38309*c_1001_4^8 - 575384237/38309*c_1001_4^7 + 673778312/38309*c_1001_4^6 - 457996095/38309*c_1001_4^5 + 501341872/38309*c_1001_4^4 - 785208218/38309*c_1001_4^3 + 270321164/38309*c_1001_4^2 - 334943253/38309*c_1001_4 + 42675862/38309, c_0011_0 - 1, c_0011_10 + 1, c_0011_3 + 38319/191545*c_1001_4^9 - 244287/191545*c_1001_4^8 + 125727/38309*c_1001_4^7 - 122642/38309*c_1001_4^6 + 298072/191545*c_1001_4^5 - 415514/191545*c_1001_4^4 + 869901/191545*c_1001_4^3 - 182543/191545*c_1001_4^2 + 178517/191545*c_1001_4 + 7407/191545, c_0011_7 - 38319/191545*c_1001_4^9 + 244287/191545*c_1001_4^8 - 125727/38309*c_1001_4^7 + 122642/38309*c_1001_4^6 - 298072/191545*c_1001_4^5 + 415514/191545*c_1001_4^4 - 869901/191545*c_1001_4^3 + 182543/191545*c_1001_4^2 - 178517/191545*c_1001_4 - 7407/191545, c_0011_9 + 1122/191545*c_1001_4^9 + 4919/191545*c_1001_4^8 - 14128/38309*c_1001_4^7 + 53793/38309*c_1001_4^6 - 406154/191545*c_1001_4^5 + 238898/191545*c_1001_4^4 - 39087/191545*c_1001_4^3 + 527331/191545*c_1001_4^2 - 67294/191545*c_1001_4 + 195136/191545, c_0101_0 + 15717/191545*c_1001_4^9 - 124176/191545*c_1001_4^8 + 80091/38309*c_1001_4^7 - 115794/38309*c_1001_4^6 + 359106/191545*c_1001_4^5 - 270332/191545*c_1001_4^4 + 576643/191545*c_1001_4^3 - 355344/191545*c_1001_4^2 + 34531/191545*c_1001_4 - 46494/191545, c_0101_1 + 53901/191545*c_1001_4^9 - 346008/191545*c_1001_4^8 + 174945/38309*c_1001_4^7 - 153438/38309*c_1001_4^6 + 195943/191545*c_1001_4^5 - 477976/191545*c_1001_4^4 + 1061499/191545*c_1001_4^3 + 30148/191545*c_1001_4^2 + 312308/191545*c_1001_4 + 71618/191545, c_0101_10 + 9654/191545*c_1001_4^9 - 73422/191545*c_1001_4^8 + 44581/38309*c_1001_4^7 - 54424/38309*c_1001_4^6 + 50457/191545*c_1001_4^5 + 49956/191545*c_1001_4^4 + 199396/191545*c_1001_4^3 - 51583/191545*c_1001_4^2 - 326013/191545*c_1001_4 + 17582/191545, c_0101_2 + 15717/191545*c_1001_4^9 - 124176/191545*c_1001_4^8 + 80091/38309*c_1001_4^7 - 115794/38309*c_1001_4^6 + 359106/191545*c_1001_4^5 - 270332/191545*c_1001_4^4 + 576643/191545*c_1001_4^3 - 355344/191545*c_1001_4^2 + 34531/191545*c_1001_4 - 46494/191545, c_0101_3 + c_1001_4, c_0101_6 - 14376/191545*c_1001_4^9 + 92668/191545*c_1001_4^8 - 49244/38309*c_1001_4^7 + 58092/38309*c_1001_4^6 - 259658/191545*c_1001_4^5 + 274176/191545*c_1001_4^4 - 148594/191545*c_1001_4^3 + 114432/191545*c_1001_4^2 - 88328/191545*c_1001_4 - 6063/191545, c_0110_2 - 53901/191545*c_1001_4^9 + 346008/191545*c_1001_4^8 - 174945/38309*c_1001_4^7 + 153438/38309*c_1001_4^6 - 195943/191545*c_1001_4^5 + 477976/191545*c_1001_4^4 - 1061499/191545*c_1001_4^3 - 30148/191545*c_1001_4^2 - 312308/191545*c_1001_4 - 71618/191545, c_1001_4^10 - 6*c_1001_4^9 + 14*c_1001_4^8 - 10*c_1001_4^7 + 3*c_1001_4^6 - 10*c_1001_4^5 + 17*c_1001_4^4 + 6*c_1001_4^3 + 9*c_1001_4^2 + 4*c_1001_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.300 Total time: 0.510 seconds, Total memory usage: 32.09MB