Magma V2.19-8 Tue Aug 20 2013 23:47:29 on localhost [Seed = 2412373460] Type ? for help. Type -D to quit. Loading file "L10n22__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L10n22 geometric_solution 10.68454458 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 1 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 0 0 0 0 0 0 0 -1 1 0 0 0 -2 2 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.351928927851 0.633621857453 0 5 5 6 0132 0132 1302 0132 1 1 1 1 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 0 0 0 0 0 -1 1 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.515647522247 0.416006560045 4 0 6 7 0213 0132 2031 0132 1 1 1 1 0 0 1 -1 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 -2 1 -1 0 0 1 -2 0 0 2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.783751779418 0.578648370886 6 8 4 0 0132 0132 2310 0132 1 1 1 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 0 0 0 0 0 0 0 0 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 0.581202771662 0.501443379159 2 3 0 5 0213 3201 0132 1302 1 1 1 1 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 0 0 0 2 0 -2 0 1 -1 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.909180667860 0.700245359026 1 1 4 8 2031 0132 2031 0213 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 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.174719281720 0.947722826782 3 9 1 2 0132 0132 0132 1302 1 1 1 1 0 0 0 0 0 0 1 -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 0 0 0 0 -1 1 0 -2 0 2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.294367315414 0.884692773512 9 10 2 11 3012 0132 0132 0132 1 1 0 1 0 0 1 -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 0 -1 1 0 0 -1 1 -1 1 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.478340108598 0.580387642586 11 3 10 5 3120 0132 0132 0213 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 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 0.956680217196 1.160775285172 11 6 10 7 1302 0132 1302 1230 1 0 1 1 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 -1 0 0 1 -1 1 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.143385875257 0.953050561601 9 7 11 8 2031 0132 2103 0132 1 1 1 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 2 -2 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.856614124743 0.953050561601 10 9 7 8 2103 2031 0132 3120 1 1 1 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 1 -1 0 0 0 -1 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 1.154366773904 1.026037887613 ==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_0011_10'], 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0101_7'], 'c_1001_1' : negation(d['c_0110_11']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0101_3']), 'c_1001_9' : d['c_0101_8'], 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : d['c_0011_3'], 'c_1010_10' : d['c_1001_0'], 's_3_11' : 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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : negation(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' : 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_1100_5' : d['c_1001_3'], 'c_1100_4' : d['c_0011_4'], 'c_1100_7' : negation(d['c_0101_8']), 'c_1100_6' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0101_8']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_8']), 'c_1100_10' : negation(d['c_0110_11']), 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_0101_8'], 'c_1010_5' : negation(d['c_0110_11']), 'c_1010_4' : negation(d['c_1001_3']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_7'], 'c_1010_0' : negation(d['c_0101_3']), 'c_1010_9' : d['c_0101_7'], 'c_1010_8' : d['c_1001_3'], 'c_1100_8' : negation(d['c_0110_11']), 's_3_1' : 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' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : negation(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' : 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_3'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_3']), '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_0110_11'], 'c_0110_10' : d['c_0101_8'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0110_11'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0110_11']), 'c_0110_4' : negation(d['c_0101_7']), 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0101_3']})} 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_3, c_0011_4, c_0101_0, c_0101_10, c_0101_3, c_0101_7, c_0101_8, c_0110_11, c_1001_0, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 11304619/26000640*c_1001_3^9 - 1722047/26000640*c_1001_3^8 - 90520223/26000640*c_1001_3^7 + 33426269/5200128*c_1001_3^6 - 465825343/8666880*c_1001_3^5 + 1955133691/26000640*c_1001_3^4 - 421677557/2888960*c_1001_3^3 + 340382929/8666880*c_1001_3^2 - 333820823/6500160*c_1001_3 + 1161749/203130, c_0011_0 - 1, c_0011_10 + 1, c_0011_3 + 1/512*c_1001_3^9 + 1/512*c_1001_3^8 + 5/512*c_1001_3^7 - 11/512*c_1001_3^6 + 79/512*c_1001_3^5 - 17/512*c_1001_3^4 - 161/512*c_1001_3^3 + 751/512*c_1001_3^2 - 349/128*c_1001_3 + 283/128, c_0011_4 - 37/512*c_1001_3^9 + 3/512*c_1001_3^8 - 293/512*c_1001_3^7 + 611/512*c_1001_3^6 - 4691/512*c_1001_3^5 + 7397/512*c_1001_3^4 - 13623/512*c_1001_3^3 + 5281/512*c_1001_3^2 - 1003/128*c_1001_3 + 165/128, c_0101_0 + 1/128*c_1001_3^9 + 1/128*c_1001_3^8 + 9/128*c_1001_3^7 - 7/128*c_1001_3^6 + 119/128*c_1001_3^5 - 73/128*c_1001_3^4 + 291/128*c_1001_3^3 + 147/128*c_1001_3^2 + 71/32*c_1001_3 + 31/32, c_0101_10 + 11/128*c_1001_3^9 + 1/128*c_1001_3^8 + 87/128*c_1001_3^7 - 167/128*c_1001_3^6 + 1365/128*c_1001_3^5 - 1961/128*c_1001_3^4 + 3685/128*c_1001_3^3 - 973/128*c_1001_3^2 + 273/32*c_1001_3 - 33/32, c_0101_3 + 51/512*c_1001_3^9 - 3/512*c_1001_3^8 + 407/512*c_1001_3^7 - 839/512*c_1001_3^6 + 6461/512*c_1001_3^5 - 10157/512*c_1001_3^4 + 18933/512*c_1001_3^3 - 8101/512*c_1001_3^2 + 1585/128*c_1001_3 - 297/128, c_0101_7 - 5/128*c_1001_3^9 - 39/128*c_1001_3^7 + 5/8*c_1001_3^6 - 623/128*c_1001_3^5 + 59/8*c_1001_3^4 - 1697/128*c_1001_3^3 + 33/8*c_1001_3^2 - 109/32*c_1001_3 + 1/2, c_0101_8 + 15/128*c_1001_3^9 + 5/128*c_1001_3^8 + 119/128*c_1001_3^7 - 203/128*c_1001_3^6 + 1801/128*c_1001_3^5 - 2253/128*c_1001_3^4 + 4429/128*c_1001_3^3 - 441/128*c_1001_3^2 + 345/32*c_1001_3 - 29/32, c_0110_11 - 5/128*c_1001_3^9 - 39/128*c_1001_3^7 + 5/8*c_1001_3^6 - 623/128*c_1001_3^5 + 59/8*c_1001_3^4 - 1697/128*c_1001_3^3 + 33/8*c_1001_3^2 - 109/32*c_1001_3 + 1/2, c_1001_0 + 5/512*c_1001_3^9 - 3/512*c_1001_3^8 + 41/512*c_1001_3^7 - 111/512*c_1001_3^6 + 683/512*c_1001_3^5 - 1389/512*c_1001_3^4 + 2667/512*c_1001_3^3 - 2653/512*c_1001_3^2 + 639/128*c_1001_3 - 225/128, c_1001_3^10 + 8*c_1001_3^8 - 16*c_1001_3^7 + 126*c_1001_3^6 - 192*c_1001_3^5 + 364*c_1001_3^4 - 144*c_1001_3^3 + 137*c_1001_3^2 - 32*c_1001_3 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB