Magma V2.19-8 Tue Aug 20 2013 23:56:39 on localhost [Seed = 2665019026] Type ? for help. Type -D to quit. Loading file "L14n24280__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24280 geometric_solution 9.90534074 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 0 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 1 0 0 0 0 0 3 -1 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.007122942628 0.458133244698 0 5 2 3 0132 0132 1023 0132 1 1 1 0 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 1 0 -1 0 0 1 -1 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.090432939756 1.028384982644 6 0 1 4 0132 0132 1023 1023 1 1 1 0 0 0 0 0 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 1 -1 0 0 0 0 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 0.984808617605 0.930228663144 7 8 1 0 0132 0132 0132 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 1 -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 0.531384128011 1.199835114057 8 9 0 2 2031 0132 0132 1023 1 1 1 0 0 0 0 0 0 0 0 0 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 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 0.510040011433 1.074332332869 6 1 7 8 1023 0132 0132 2310 1 1 0 1 0 0 -1 1 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 1 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 0.221825901949 0.452536405589 2 5 10 9 0132 1023 0132 3120 1 1 0 1 0 -1 0 1 0 0 0 0 -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 0 -1 0 0 0 0 -2 0 0 2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.218380996305 2.846760918964 3 11 11 5 0132 0132 3201 0132 1 1 1 1 0 0 -1 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 0 1 -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 0.133197712687 0.723313566025 5 3 4 9 3201 0132 1302 0213 1 0 1 1 0 0 0 0 0 0 0 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.810020535938 0.412798785473 6 4 10 8 3120 0132 1302 0213 1 1 0 1 0 0 0 0 0 0 0 0 -1 1 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 -2 2 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.394324170179 0.466430743487 9 11 11 6 2031 2310 1023 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 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 -0.077403929438 0.272581994033 7 7 10 10 2310 0132 1023 3201 1 1 1 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.216795413978 2.130667745584 ==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_0101_11'], 'c_1001_5' : d['c_0101_10'], 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : negation(d['c_0101_11']), 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0110_4'], 'c_1001_3' : d['c_0101_10'], 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : d['c_0101_6'], 'c_1001_8' : d['c_0110_4'], 'c_1010_11' : negation(d['c_0101_11']), 'c_1010_10' : d['c_0101_0'], '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_1100_9' : d['c_0101_10'], 'c_1100_8' : d['c_0101_1'], 'c_1100_5' : negation(d['c_0011_11']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0011_11']), 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1100_0']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_0011_10'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_10'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : d['c_0110_4'], 'c_1010_2' : d['c_0110_4'], 'c_1010_1' : d['c_0101_10'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0101_1'], 'c_1010_8' : d['c_0101_10'], '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_4']), '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' : negation(d['c_0011_11']), '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' : d['c_0011_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_0']), 'c_0110_10' : d['c_0101_6'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_0'], '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_10']), 'c_0101_8' : negation(d['c_0011_4']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : negation(d['c_0101_2']), '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_0101_6'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_0'], 'c_0110_6' : d['c_0101_2']})} 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_4, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_6, c_0110_4, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 2406379/71660160*c_1100_0^8 - 2665087/71660160*c_1100_0^7 - 23332649/71660160*c_1100_0^6 - 2255113/35830080*c_1100_0^5 + 604199/7166016*c_1100_0^4 - 37145/367488*c_1100_0^3 + 700621/559845*c_1100_0^2 + 11442061/14332032*c_1100_0 - 25373941/35830080, c_0011_0 - 1, c_0011_10 - 7/16*c_1100_0^8 - 5/16*c_1100_0^7 + 13/16*c_1100_0^6 - 3/8*c_1100_0^5 + 9/8*c_1100_0^4 + 39/16*c_1100_0^3 - 2*c_1100_0^2 - 5/16*c_1100_0 + 17/8, c_0011_11 - 65/144*c_1100_0^8 - 19/144*c_1100_0^7 + 43/144*c_1100_0^6 - 13/72*c_1100_0^5 + 103/72*c_1100_0^4 + 59/48*c_1100_0^3 - 10/9*c_1100_0^2 + 29/144*c_1100_0 + 71/72, c_0011_4 + 43/144*c_1100_0^8 + 17/144*c_1100_0^7 + 7/144*c_1100_0^6 + 23/72*c_1100_0^5 - 77/72*c_1100_0^4 - 25/48*c_1100_0^3 + 8/9*c_1100_0^2 - 79/144*c_1100_0 - 37/72, c_0101_0 - 1, c_0101_1 - 11/72*c_1100_0^8 - 1/72*c_1100_0^7 + 25/72*c_1100_0^6 + 5/36*c_1100_0^5 + 13/36*c_1100_0^4 + 17/24*c_1100_0^3 - 2/9*c_1100_0^2 - 25/72*c_1100_0 + 17/36, c_0101_10 + 11/72*c_1100_0^8 + 1/72*c_1100_0^7 - 25/72*c_1100_0^6 - 5/36*c_1100_0^5 - 13/36*c_1100_0^4 - 17/24*c_1100_0^3 + 11/9*c_1100_0^2 + 25/72*c_1100_0 - 17/36, c_0101_11 - 5/24*c_1100_0^8 - 7/24*c_1100_0^7 + 7/24*c_1100_0^6 - 1/12*c_1100_0^5 + 7/12*c_1100_0^4 + 15/8*c_1100_0^3 - 2/3*c_1100_0^2 - 7/24*c_1100_0 + 11/12, c_0101_2 + 5/36*c_1100_0^8 + 7/36*c_1100_0^7 + 5/36*c_1100_0^6 + 1/18*c_1100_0^5 - 1/18*c_1100_0^4 + 1/12*c_1100_0^3 + 1/9*c_1100_0^2 - 5/36*c_1100_0 + 7/18, c_0101_6 + 83/72*c_1100_0^8 + 1/72*c_1100_0^7 - 97/72*c_1100_0^6 + 31/36*c_1100_0^5 - 121/36*c_1100_0^4 - 65/24*c_1100_0^3 + 47/9*c_1100_0^2 - 47/72*c_1100_0 - 161/36, c_0110_4 + 17/36*c_1100_0^8 - 5/36*c_1100_0^7 - 19/36*c_1100_0^6 + 7/18*c_1100_0^5 - 25/18*c_1100_0^4 - 11/12*c_1100_0^3 + 25/9*c_1100_0^2 - 17/36*c_1100_0 - 41/18, c_1100_0^9 + c_1100_0^8 - c_1100_0^7 - 2*c_1100_0^5 - 5*c_1100_0^4 + 2*c_1100_0^3 + 3*c_1100_0^2 - 4*c_1100_0 - 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB