Magma V2.19-8 Wed Aug 21 2013 00:04:52 on localhost [Seed = 1174415403] Type ? for help. Type -D to quit. Loading file "L14n650__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n650 geometric_solution 11.29496914 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 1 2 3 0132 1230 0132 0132 1 1 1 0 0 0 0 0 0 0 0 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 0 1 -1 0 0 0 0 -1 2 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.675164031202 1.011550248346 0 4 0 5 0132 0132 3012 0132 0 1 0 1 0 0 3 -3 0 0 0 0 -3 1 0 2 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 1 0 0 -1 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.543524447292 0.683904854771 6 7 3 0 0132 0132 2031 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.656144855234 0.440665860123 8 6 0 2 0132 2310 0132 1302 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 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 -0.002750254734 0.961245229796 9 1 7 9 0132 0132 1023 2031 0 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 -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 0.536177973302 0.795966492708 6 10 1 9 2103 0132 0132 2103 0 1 1 0 0 -2 3 -1 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 1 -1 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 0.653924161540 0.853559401753 2 8 5 3 0132 2310 2103 3201 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.596311776831 0.547481111947 10 2 4 8 3012 0132 1023 3012 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 -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 1.417861920622 0.864195152332 3 11 7 6 0132 0132 1230 3201 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 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 1.258779462958 1.032662667468 4 4 11 5 0132 1302 3201 2103 1 1 0 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 -1 1 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 0.417861920622 0.864195152332 11 5 11 7 2103 0132 0132 1230 0 1 0 1 0 2 -2 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 0 0 0 0 0 -1 1 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 0.546512975912 0.937872700339 9 8 10 10 2310 0132 2103 0132 0 1 1 1 0 0 -2 2 0 0 0 0 0 0 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 -1 0 0 1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.417861920622 0.864195152332 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : d['c_0101_7'], 'c_1001_7' : d['c_0101_4'], 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_8']), 'c_1001_9' : negation(d['c_0101_10']), 'c_1001_8' : d['c_1001_10'], 'c_1010_11' : d['c_1001_10'], 'c_1010_10' : d['c_0101_7'], '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_10'], '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' : negation(d['c_0011_11']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_4']), 'c_1100_4' : d['c_1001_10'], 'c_1100_7' : negation(d['c_1001_10']), 'c_1100_6' : negation(d['c_0011_11']), 'c_1100_1' : negation(d['c_0101_4']), 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0101_2'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_2'], 'c_1100_10' : d['c_0011_2'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_8']), 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : d['c_1001_10'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : d['c_0101_7'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : negation(d['c_1001_10']), 'c_1010_8' : d['c_0011_10'], 'c_1100_8' : d['c_0011_2'], '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_0']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_0110_11' : d['c_0101_10'], 'c_0110_10' : negation(d['c_0011_2']), 'c_0011_11' : d['c_0011_11'], '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_4'], 'c_0101_3' : d['c_0101_1'], '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_0101_10']), 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_8'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_11'], 'c_0110_4' : negation(d['c_0101_10']), 'c_0110_7' : d['c_0011_2'], '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_2, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_4, c_0101_7, c_0101_8, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 165/7888*c_1001_10^9 - 63/7888*c_1001_10^8 - 5/7888*c_1001_10^7 + 219/1972*c_1001_10^6 + 567/3944*c_1001_10^5 - 109/986*c_1001_10^4 + 9/29*c_1001_10^3 + 226/493*c_1001_10^2 - 2/29*c_1001_10 - 143/493, c_0011_0 - 1, c_0011_10 + 17/464*c_1001_10^9 - 13/232*c_1001_10^8 + 2/29*c_1001_10^7 + 33/232*c_1001_10^6 + 1/116*c_1001_10^5 + 9/116*c_1001_10^4 + 31/58*c_1001_10^3 - 8/29*c_1001_10^2 + 3/29*c_1001_10 - 36/29, c_0011_11 - 3/464*c_1001_10^9 + 1/58*c_1001_10^8 + 1/58*c_1001_10^7 + 1/232*c_1001_10^6 - 7/116*c_1001_10^5 + 6/29*c_1001_10^4 + 15/58*c_1001_10^3 - 2/29*c_1001_10^2 + 8/29*c_1001_10 + 20/29, c_0011_2 - 1/58*c_1001_10^9 + 1/232*c_1001_10^8 + 1/232*c_1001_10^7 - 9/58*c_1001_10^6 - 9/116*c_1001_10^5 + 3/58*c_1001_10^4 - 9/29*c_1001_10^3 - 15/29*c_1001_10^2 + 2/29*c_1001_10 + 5/29, c_0101_0 + 5/116*c_1001_10^9 - 17/232*c_1001_10^8 + 3/58*c_1001_10^7 + 4/29*c_1001_10^6 - 21/116*c_1001_10^5 - 15/116*c_1001_10^4 + 8/29*c_1001_10^3 - 41/58*c_1001_10^2 + 24/29*c_1001_10 - 56/29, c_0101_1 - 1, c_0101_10 - 13/464*c_1001_10^9 + 25/464*c_1001_10^8 - 1/116*c_1001_10^7 - 11/58*c_1001_10^6 + 9/58*c_1001_10^5 + 17/116*c_1001_10^4 - 11/29*c_1001_10^3 + 31/58*c_1001_10^2 - 4/29*c_1001_10 + 19/29, c_0101_2 + 1/58*c_1001_10^9 - 1/232*c_1001_10^8 - 1/232*c_1001_10^7 + 7/232*c_1001_10^6 + 9/116*c_1001_10^5 - 3/58*c_1001_10^4 - 11/58*c_1001_10^3 + 1/58*c_1001_10^2 - 2/29*c_1001_10 - 34/29, c_0101_4 + 3/116*c_1001_10^9 - 2/29*c_1001_10^8 + 13/232*c_1001_10^7 + 25/232*c_1001_10^6 - 15/58*c_1001_10^5 - 9/116*c_1001_10^4 + 27/58*c_1001_10^3 - 21/29*c_1001_10^2 + 26/29*c_1001_10 - 22/29, c_0101_7 - 1/58*c_1001_10^9 + 1/232*c_1001_10^8 + 1/232*c_1001_10^7 - 7/232*c_1001_10^6 - 9/116*c_1001_10^5 + 3/58*c_1001_10^4 + 11/58*c_1001_10^3 - 1/58*c_1001_10^2 + 2/29*c_1001_10 + 34/29, c_0101_8 - 15/464*c_1001_10^9 + 11/464*c_1001_10^8 - 9/232*c_1001_10^7 - 3/29*c_1001_10^6 - 3/58*c_1001_10^5 - 25/116*c_1001_10^4 - 6/29*c_1001_10^3 + 9/58*c_1001_10^2 - 18/29*c_1001_10 + 13/29, c_1001_10^10 - 2*c_1001_10^9 + 2*c_1001_10^8 + 4*c_1001_10^7 - 4*c_1001_10^6 + 16*c_1001_10^4 - 16*c_1001_10^3 + 16*c_1001_10^2 - 32*c_1001_10 + 32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB