Magma V2.19-8 Wed Aug 21 2013 01:07:18 on localhost [Seed = 3364803020] Type ? for help. Type -D to quit. Loading file "L14n33056__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n33056 geometric_solution 11.47739028 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 0 0 1 1 1302 2031 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.393242810355 0.114134024887 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.346685993704 1.831665380080 1 3 4 5 0132 3201 0132 0132 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 -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 0.270295951576 0.793527660420 6 7 2 1 0132 0132 2310 0132 0 0 0 0 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 -3 2 0 1 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.270295951576 0.793527660420 7 8 7 2 2031 0132 3201 0132 0 0 0 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.581355794900 0.508861015673 6 9 2 10 2103 0132 0132 0132 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 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 1.026064552344 0.852486180480 3 10 5 11 0132 2310 2103 0132 1 0 0 0 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 0 0 0 0 0 0 0 -2 -1 0 3 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.026064552344 0.852486180480 4 3 4 12 2310 0132 1302 0132 0 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 -1 1 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.581355794900 0.508861015673 12 4 11 9 3120 0132 3201 2310 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 0 0 0 0 0 0 0 5 0 -6 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 0.387544175270 0.548969023947 8 5 10 12 3201 0132 1302 3201 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 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 0.486727231288 1.320382195934 9 11 5 6 2031 3120 0132 3201 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 0 0 0 0 0 0 0 0 -3 0 3 0 0 -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 0.753224325898 1.107806684021 8 10 6 12 2310 3120 0132 2310 1 0 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 6 0 0 -6 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.486727231288 1.320382195934 11 9 7 8 3201 2310 0132 3120 0 1 1 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 6 0 -1 -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 0.387544175270 0.548969023947 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_10']), 'c_1001_10' : d['c_0110_10'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : negation(d['c_1001_12']), 'c_1001_4' : d['c_0011_4'], 'c_1001_7' : negation(d['c_0011_0']), 'c_1001_6' : d['c_0011_11'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : negation(d['c_0110_0']), 'c_1001_3' : d['c_1001_12'], 'c_1001_2' : negation(d['c_0101_11']), 'c_1001_9' : d['c_0110_10'], 'c_1001_8' : negation(d['c_0101_11']), 'c_1010_12' : d['c_0011_4'], 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0011_11']), 's_3_11' : d['1'], 's_3_10' : negation(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_11'], 'c_0101_10' : negation(d['c_0011_12']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : negation(d['1']), 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(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_11'], 'c_1100_8' : negation(d['c_0011_11']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 'c_1100_7' : negation(d['c_0101_12']), 'c_1100_6' : d['c_0011_12'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_0011_12']), 'c_1100_11' : d['c_0011_12'], 'c_1100_10' : d['c_0011_3'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_12'], 'c_1010_6' : negation(d['c_0110_10']), 'c_1010_5' : d['c_0110_10'], 'c_1010_4' : negation(d['c_0101_11']), 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_1001_12']), 'c_1010_1' : negation(d['c_0110_0']), 'c_1010_0' : d['c_0011_0'], 'c_1010_9' : negation(d['c_1001_12']), 'c_1010_8' : d['c_0011_4'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : negation(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' : negation(d['c_0101_12']), 's_1_7' : d['1'], 's_1_6' : negation(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' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_11'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_0110_11' : negation(d['c_0101_12']), 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0011_10'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0101_12']), 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : d['c_0101_12'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_4']), 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0110_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0011_12']), 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_7' : d['c_0101_12'], 'c_0110_6' : d['c_0101_11']})} 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_1, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_4, c_0101_1, c_0101_11, c_0101_12, c_0110_0, c_0110_10, c_1001_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 39545709597/106914815*c_1001_12^6 - 67804351926/106914815*c_1001_12^5 - 2997364319/21382963*c_1001_12^4 + 6777634555/21382963*c_1001_12^3 + 23358998021/106914815*c_1001_12^2 + 5914352229/106914815*c_1001_12 + 685038566/106914815, c_0011_0 - 1, c_0011_1 + 38555417/62341*c_1001_12^6 + 69430707/62341*c_1001_12^5 + 20064757/62341*c_1001_12^4 - 32667201/62341*c_1001_12^3 - 25483598/62341*c_1001_12^2 - 7271211/62341*c_1001_12 - 1015314/62341, c_0011_10 + 98530950/62341*c_1001_12^6 + 174397058/62341*c_1001_12^5 + 48987891/62341*c_1001_12^4 - 81601134/62341*c_1001_12^3 - 63935916/62341*c_1001_12^2 - 18822909/62341*c_1001_12 - 2414214/62341, c_0011_11 + 35556742/62341*c_1001_12^6 + 62434959/62341*c_1001_12^5 + 17141634/62341*c_1001_12^4 - 29069934/62341*c_1001_12^3 - 22615341/62341*c_1001_12^2 - 6794286/62341*c_1001_12 - 858509/62341, c_0011_12 + 35556742/62341*c_1001_12^6 + 62434959/62341*c_1001_12^5 + 17141634/62341*c_1001_12^4 - 29069934/62341*c_1001_12^3 - 22615341/62341*c_1001_12^2 - 6794286/62341*c_1001_12 - 858509/62341, c_0011_3 - c_1001_12 - 1, c_0011_4 - 1, c_0101_1 + 70083181/62341*c_1001_12^6 + 123505468/62341*c_1001_12^5 + 33357530/62341*c_1001_12^4 - 58469536/62341*c_1001_12^3 - 44395915/62341*c_1001_12^2 - 12934321/62341*c_1001_12 - 1804274/62341, c_0101_11 + c_1001_12, c_0101_12 + 1, c_0110_0 - 20782717/62341*c_1001_12^6 - 40255690/62341*c_1001_12^5 - 15141753/62341*c_1001_12^4 + 17445031/62341*c_1001_12^3 + 16349732/62341*c_1001_12^2 + 5037371/62341*c_1001_12 + 686452/62341, c_0110_10 - 17334214/62341*c_1001_12^6 - 31845396/62341*c_1001_12^5 - 10954992/62341*c_1001_12^4 + 13647704/62341*c_1001_12^3 + 12354967/62341*c_1001_12^2 + 4133487/62341*c_1001_12 + 579021/62341, c_1001_12^7 + 228/107*c_1001_12^6 + 121/107*c_1001_12^5 - 70/107*c_1001_12^4 - 101/107*c_1001_12^3 - 45/107*c_1001_12^2 - 10/107*c_1001_12 - 1/107 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.310 seconds, Total memory usage: 32.09MB