Magma V2.19-8 Wed Aug 21 2013 00:56:42 on localhost [Seed = 1377061012] Type ? for help. Type -D to quit. Loading file "L13n2806__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n2806 geometric_solution 11.71792797 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 0 1 0 0 0 0 0 0 1 -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 1 -1 0 -1 0 1 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 0.303583858027 0.718510055566 0 5 7 6 0132 0132 0132 0132 1 0 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 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 0.485940805925 0.442122208242 8 0 3 9 0132 0132 3201 0132 1 1 1 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 -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 0.499045833309 0.633871851670 2 5 10 0 2310 1230 0132 0132 1 0 1 1 0 0 0 0 1 0 0 -1 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 -1 1 0 0 1 -1 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.296584939599 0.695880221606 11 9 0 5 0132 0132 0132 1230 1 0 1 0 0 0 0 0 0 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.327622469996 1.251445024816 4 1 3 12 3012 0132 3012 0132 1 1 0 1 0 0 -1 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 -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 1.134771788109 0.992483943733 8 9 1 10 3201 0321 0132 2310 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 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 0.491101366083 0.432968026421 11 8 9 1 3120 3201 3201 0132 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 0 0 0 0 0 0 0 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 0.652309521164 0.383625377578 2 12 7 6 0132 3120 2310 2310 0 1 0 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 1.083263865400 0.464146470868 7 4 2 6 2310 0132 0132 0321 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 0 0 0 1 0 -1 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 0.786989274284 1.437288680898 6 11 12 3 3201 0132 1302 0132 1 0 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 -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 1.035485801351 1.860874837591 4 10 12 7 0132 0132 1230 3120 1 0 0 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 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 0.452639798034 0.508216117674 10 8 5 11 2031 3120 0132 3012 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 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 0.286667891911 0.810808756423 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0011_6']), 'c_1001_12' : d['c_1001_1'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_7' : negation(d['c_0101_8']), 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_1001_11'], 'c_1001_2' : negation(d['c_0101_3']), 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : negation(d['c_1001_1']), 'c_1010_12' : negation(d['c_0011_0']), 'c_1010_11' : negation(d['c_0011_6']), 'c_1010_10' : d['c_1001_11'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_0'], 'c_0101_10' : negation(d['c_0011_12']), 's_2_0' : d['1'], 's_2_1' : 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' : 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' : d['1'], 's_0_4' : negation(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_1100_9' : negation(d['c_0011_3']), 'c_1100_8' : d['c_0011_6'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_11']), 'c_1100_4' : d['c_0101_12'], 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_0011_10'], 'c_1100_0' : d['c_0101_12'], 'c_1100_3' : d['c_0101_12'], 'c_1100_2' : negation(d['c_0011_3']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_6']), 'c_1100_10' : d['c_0101_12'], 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0101_5'], '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_0101_3']), 'c_1010_9' : negation(d['c_0101_3']), 'c_1010_8' : negation(d['c_0011_12']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : 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_1001_11']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_10']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : d['c_0011_6'], 'c_0011_6' : d['c_0011_6'], '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_0101_1'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : negation(d['c_0011_6']), 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_6'], '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_3'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], '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_6']), 'c_0110_8' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : d['c_0011_0'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0011_12']})} 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_0011_6, c_0101_0, c_0101_1, c_0101_12, c_0101_3, c_0101_5, c_0101_8, c_1001_1, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 905706684/620977*c_1001_11^5 - 770989671/177422*c_1001_11^4 - 8085653928/620977*c_1001_11^3 - 19535806881/1241954*c_1001_11^2 - 2189689281/177422*c_1001_11 - 64520145/88711, c_0011_0 - 1, c_0011_10 + 268164/443555*c_1001_11^5 + 3537/2185*c_1001_11^4 + 2208852/443555*c_1001_11^3 + 2158686/443555*c_1001_11^2 + 47019/12673*c_1001_11 - 60254/63365, c_0011_12 + 3375594/443555*c_1001_11^5 + 46602/2185*c_1001_11^4 + 28476612/443555*c_1001_11^3 + 31512366/443555*c_1001_11^2 + 662445/12673*c_1001_11 - 306259/63365, c_0011_3 - 37638/443555*c_1001_11^5 - 144/2185*c_1001_11^4 - 340569/443555*c_1001_11^3 - 76827/443555*c_1001_11^2 - 16432/12673*c_1001_11 - 577/63365, c_0011_6 + 48843/443555*c_1001_11^5 + 864/2185*c_1001_11^4 + 450549/443555*c_1001_11^3 + 631392/443555*c_1001_11^2 + 1578/12673*c_1001_11 - 18388/63365, c_0101_0 + 16173/443555*c_1001_11^5 + 1134/2185*c_1001_11^4 + 658944/443555*c_1001_11^3 + 1595637/443555*c_1001_11^2 + 45498/12673*c_1001_11 + 83477/63365, c_0101_1 - 1, c_0101_12 + 19116/12673*c_1001_11^5 + 1917/437*c_1001_11^4 + 168390/12673*c_1001_11^3 + 199005/12673*c_1001_11^2 + 153768/12673*c_1001_11 + 5906/12673, c_0101_3 + 32643/23345*c_1001_11^5 + 459/115*c_1001_11^4 + 286479/23345*c_1001_11^3 + 333357/23345*c_1001_11^2 + 8010/667*c_1001_11 + 2522/3335, c_0101_5 - 146529/443555*c_1001_11^5 - 2592/2185*c_1001_11^4 - 1351647/443555*c_1001_11^3 - 1894176/443555*c_1001_11^2 - 30080/12673*c_1001_11 - 8201/63365, c_0101_8 + 46359/443555*c_1001_11^5 + 657/2185*c_1001_11^4 + 176067/443555*c_1001_11^3 + 110856/443555*c_1001_11^2 - 3252/12673*c_1001_11 - 6244/63365, c_1001_1 + 67176/88711*c_1001_11^5 + 810/437*c_1001_11^4 + 515061/88711*c_1001_11^3 + 515892/88711*c_1001_11^2 + 59673/12673*c_1001_11 - 7734/12673, c_1001_11^6 + 3*c_1001_11^5 + 9*c_1001_11^4 + 11*c_1001_11^3 + 79/9*c_1001_11^2 + 7/9*c_1001_11 + 7/81 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.310 seconds, Total memory usage: 32.09MB