Magma V2.19-8 Wed Aug 21 2013 01:04:00 on localhost [Seed = 1528644366] Type ? for help. Type -D to quit. Loading file "L14n23973__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n23973 geometric_solution 11.63435440 oriented_manifold CS_known -0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 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 -1 0 1 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 0.247306681902 0.645647733105 0 5 7 6 0132 0132 0132 0132 1 1 0 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 -1 0 0 0 0 0 -1 3 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.915676483838 0.914261902047 6 0 8 5 0132 0132 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 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 -0.246060462153 1.525568134421 5 6 9 0 0132 0132 0132 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 -3 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.610601179666 0.515847389010 10 8 0 11 0132 3012 0132 0132 1 1 1 1 0 1 0 -1 1 0 0 -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 -3 -1 4 -3 0 0 3 0 -4 0 4 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.994929583646 1.532223621802 3 1 2 12 0132 0132 0132 0132 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 -1 1 0 0 0 0 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.081996745082 0.624774743554 2 3 1 12 0132 0132 0132 0321 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 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.310664752636 0.586994384724 10 11 11 1 3120 2031 2310 0132 1 1 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 -1 0 1 3 0 -3 0 1 -1 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.408152341061 1.064050476926 4 11 9 2 1230 0321 0321 0132 1 1 1 1 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 0 0 0 4 0 -4 0 -1 1 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.469727177984 0.390538360511 10 12 8 3 2031 0321 0321 0132 1 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 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.660601724642 0.550511651525 4 12 9 7 0132 1023 1302 3120 1 1 1 1 0 -1 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 0 0 0 0 4 0 -4 3 0 0 -3 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.573562454991 0.779110967823 7 7 4 8 1302 3201 0132 0321 1 1 1 1 0 -1 1 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 4 -4 0 0 0 -3 3 1 0 0 -1 1 3 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.685744584719 0.819261807091 10 6 5 9 1023 0321 0132 0321 1 1 1 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 0 0 0 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 0 0 0 1.226428542501 1.868872144978 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_7']), 'c_1001_10' : d['c_0101_12'], 'c_1001_12' : d['c_0011_11'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : negation(d['c_0011_8']), 'c_1001_7' : d['c_0011_8'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0011_11'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_8']), 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : d['c_1001_8'], 'c_1010_12' : d['c_1001_3'], 'c_1010_11' : negation(d['c_0011_8']), 'c_1010_10' : negation(d['c_0011_7']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : negation(d['c_0011_7']), 'c_0101_10' : negation(d['c_0011_7']), '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' : d['1'], 's_2_6' : negation(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_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : d['c_1001_9'], 'c_1100_4' : d['c_1001_8'], 'c_1100_7' : d['c_0011_11'], 'c_1100_6' : d['c_0011_11'], 'c_1100_1' : d['c_0011_11'], 'c_1100_0' : d['c_1001_8'], 'c_1100_3' : d['c_1001_8'], 'c_1100_2' : d['c_1001_9'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_8'], 'c_1100_10' : negation(d['c_0101_7']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_11'], 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : d['c_0011_11'], 'c_1010_4' : negation(d['c_0101_7']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : negation(d['c_0011_8']), 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : negation(d['c_0011_8']), 'c_1100_8' : d['c_1001_9'], '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_1001_9'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : 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' : d['1'], 'c_0011_9' : d['c_0011_7'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_8']), 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : negation(d['c_0011_7']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_12'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_7']), 'c_0101_8' : d['c_0101_7'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1001_8'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : negation(d['c_0011_7']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_10']), 's_2_9' : d['1']})} 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_11, c_0011_7, c_0011_8, c_0101_0, c_0101_1, c_0101_12, c_0101_7, c_1001_0, c_1001_3, c_1001_8, c_1001_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 1135/221*c_1001_9^5 + 15143/663*c_1001_9^4 - 7539/221*c_1001_9^3 - 203/39*c_1001_9^2 - 297/221*c_1001_9 + 8818/663, c_0011_0 - 1, c_0011_10 - 6/13*c_1001_9^5 + 25/13*c_1001_9^4 - 31/13*c_1001_9^3 - 16/13*c_1001_9^2 + 3/13*c_1001_9 + 2/13, c_0011_11 - 2/13*c_1001_9^5 + 4/13*c_1001_9^4 + 7/13*c_1001_9^3 - 27/13*c_1001_9^2 - 12/13*c_1001_9 + 5/13, c_0011_7 + 21/13*c_1001_9^5 - 94/13*c_1001_9^4 + 141/13*c_1001_9^3 + 17/13*c_1001_9^2 - 4/13*c_1001_9 - 33/13, c_0011_8 - 6/13*c_1001_9^5 + 25/13*c_1001_9^4 - 31/13*c_1001_9^3 - 29/13*c_1001_9^2 + 16/13*c_1001_9 + 15/13, c_0101_0 - 38/13*c_1001_9^5 + 167/13*c_1001_9^4 - 244/13*c_1001_9^3 - 58/13*c_1001_9^2 + 19/13*c_1001_9 + 56/13, c_0101_1 - 1, c_0101_12 + 21/13*c_1001_9^5 - 94/13*c_1001_9^4 + 141/13*c_1001_9^3 + 17/13*c_1001_9^2 - 4/13*c_1001_9 - 20/13, c_0101_7 + 6/13*c_1001_9^5 - 25/13*c_1001_9^4 + 31/13*c_1001_9^3 + 16/13*c_1001_9^2 + 10/13*c_1001_9 - 15/13, c_1001_0 + 35/13*c_1001_9^5 - 148/13*c_1001_9^4 + 196/13*c_1001_9^3 + 102/13*c_1001_9^2 - 24/13*c_1001_9 - 55/13, c_1001_3 + 12/13*c_1001_9^5 - 50/13*c_1001_9^4 + 62/13*c_1001_9^3 + 45/13*c_1001_9^2 - 6/13*c_1001_9 - 17/13, c_1001_8 - 12/13*c_1001_9^5 + 50/13*c_1001_9^4 - 62/13*c_1001_9^3 - 45/13*c_1001_9^2 + 19/13*c_1001_9 + 17/13, c_1001_9^6 - 5*c_1001_9^5 + 9*c_1001_9^4 - 2*c_1001_9^3 - 2*c_1001_9^2 - c_1001_9 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.240 Total time: 0.440 seconds, Total memory usage: 32.09MB