Magma V2.19-8 Wed Aug 21 2013 00:52:07 on localhost [Seed = 2210764496] Type ? for help. Type -D to quit. Loading file "L11n62__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n62 geometric_solution 12.21631478 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 1 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 -1 1 0 -1 0 0 1 5 0 0 -5 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.521737642658 0.608430791222 0 5 7 6 0132 0132 0132 0132 0 1 1 1 0 1 -2 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 -1 1 1 0 0 -1 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.634902840653 0.581111834191 7 0 9 8 0132 0132 0132 0132 1 1 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 1 -1 0 0 0 0 0 5 -5 0 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.735407661204 0.632610789096 9 5 6 0 2103 1230 1230 0132 1 1 1 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 1 -1 0 0 0 0 1 -6 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.544215764768 1.108583226574 9 10 0 11 0132 0132 0132 0132 1 1 0 1 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 0 0 0 0 0 -1 1 0 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.398634983910 0.928315647098 8 1 3 10 1023 0132 3012 3012 0 1 1 1 0 -1 0 1 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 5 -5 0 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.976953896590 0.652435458369 8 12 1 3 3120 0132 0132 3012 0 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 1 -1 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 0.317244721747 0.771619880774 2 10 11 1 0132 3012 3012 0132 0 1 1 1 0 0 -2 2 0 0 0 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 0 -1 1 0 0 0 0 6 -6 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.436310641083 0.744999209450 11 5 2 6 3012 1023 0132 3120 1 1 1 1 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 5 -5 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.976953896590 0.652435458369 4 12 3 2 0132 2310 2103 0132 1 1 1 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 -1 1 0 0 0 0 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.491548297777 0.758793684238 7 4 5 12 1230 0132 1230 2310 1 1 1 0 0 0 0 0 -1 0 0 1 1 -1 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 6 0 0 -6 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.562716364787 1.345392104643 12 7 4 8 2310 1230 0132 1230 1 1 1 0 0 0 0 0 -1 0 0 1 1 0 0 -1 -1 2 -1 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 -6 0 0 6 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.775174765279 1.233817404866 10 6 11 9 3201 0132 3201 3201 0 1 1 1 0 -1 1 0 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 -1 1 0 0 0 6 -6 0 0 0 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.187828287292 0.947124066520 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_0101_11']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0110_12']), 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0101_10']), 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_1001_10'], 'c_1001_2' : negation(d['c_0110_12']), 'c_1001_9' : d['c_0011_3'], 'c_1001_8' : d['c_0101_5'], 'c_1010_12' : negation(d['c_0011_3']), 'c_1010_11' : d['c_0101_7'], 'c_1010_10' : negation(d['c_0110_12']), 's_0_10' : d['1'], 's_0_11' : 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' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : negation(d['1']), 's_2_10' : d['1'], 's_2_11' : negation(d['1']), 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_10']), 'c_1100_4' : d['c_0110_6'], 'c_1100_7' : negation(d['c_1001_10']), 'c_1100_6' : negation(d['c_1001_10']), 'c_1100_1' : negation(d['c_1001_10']), 'c_1100_0' : d['c_0110_6'], 'c_1100_3' : d['c_0110_6'], 'c_1100_2' : negation(d['c_0101_0']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0110_6'], 'c_1100_10' : d['c_0011_12'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_10']), 'c_1010_6' : negation(d['c_0101_11']), 'c_1010_5' : negation(d['c_0101_10']), 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : negation(d['c_0110_12']), 'c_1010_9' : negation(d['c_0110_12']), 'c_1010_8' : d['c_0011_12'], 'c_1100_8' : negation(d['c_0101_0']), 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_10']), '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' : negation(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' : d['c_0011_10'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_12']), '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_0011_0'], 'c_0110_10' : d['c_0011_0'], 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : negation(d['c_0011_0']), '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_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_7'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0110_6'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0011_12'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6']})} 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_12, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_5, c_0101_7, c_0110_12, c_0110_6, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 24886649/47415296*c_1001_10^6 + 122595785/47415296*c_1001_10^5 + 393450549/47415296*c_1001_10^4 - 129961081/5926912*c_1001_10^3 + 746878195/47415296*c_1001_10^2 - 350755071/23707648*c_1001_10 + 78943875/11853824, c_0011_0 - 1, c_0011_10 - 283/2894*c_1001_10^6 - 748/1447*c_1001_10^5 - 2525/1447*c_1001_10^4 + 9801/2894*c_1001_10^3 - 6209/2894*c_1001_10^2 + 5777/2894*c_1001_10 + 111/1447, c_0011_12 + 707/5788*c_1001_10^6 + 919/1447*c_1001_10^5 + 12703/5788*c_1001_10^4 - 22849/5788*c_1001_10^3 + 13577/2894*c_1001_10^2 - 10307/2894*c_1001_10 + 1270/1447, c_0011_3 + 625/5788*c_1001_10^6 + 3309/5788*c_1001_10^5 + 11025/5788*c_1001_10^4 - 5566/1447*c_1001_10^3 + 8763/5788*c_1001_10^2 - 5579/2894*c_1001_10 - 662/1447, c_0101_0 - 259/11576*c_1001_10^6 - 659/5788*c_1001_10^5 - 4453/11576*c_1001_10^4 + 8571/11576*c_1001_10^3 - 6607/5788*c_1001_10^2 - 827/2894*c_1001_10 + 584/1447, c_0101_1 + 139/1447*c_1001_10^6 + 4871/11576*c_1001_10^5 + 7319/5788*c_1001_10^4 - 55543/11576*c_1001_10^3 + 60337/11576*c_1001_10^2 - 23565/5788*c_1001_10 + 5483/2894, c_0101_10 + 1, c_0101_11 - c_1001_10, c_0101_5 - 707/5788*c_1001_10^6 - 919/1447*c_1001_10^5 - 12703/5788*c_1001_10^4 + 22849/5788*c_1001_10^3 - 13577/2894*c_1001_10^2 + 10307/2894*c_1001_10 - 1270/1447, c_0101_7 - 73/2894*c_1001_10^6 - 1201/11576*c_1001_10^5 - 1823/5788*c_1001_10^4 + 14965/11576*c_1001_10^3 - 21127/11576*c_1001_10^2 + 13907/5788*c_1001_10 - 633/2894, c_0110_12 - 205/2894*c_1001_10^6 - 1835/5788*c_1001_10^5 - 1374/1447*c_1001_10^4 + 20289/5788*c_1001_10^3 - 19605/5788*c_1001_10^2 + 4829/2894*c_1001_10 - 978/1447, c_0110_6 + 1381/11576*c_1001_10^6 + 3011/5788*c_1001_10^5 + 17531/11576*c_1001_10^4 - 72585/11576*c_1001_10^3 + 32603/5788*c_1001_10^2 - 13379/2894*c_1001_10 + 2540/1447, c_1001_10^7 + 5*c_1001_10^6 + 17*c_1001_10^5 - 36*c_1001_10^4 + 43*c_1001_10^3 - 50*c_1001_10^2 + 20*c_1001_10 - 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.280 Total time: 0.490 seconds, Total memory usage: 32.09MB