Magma V2.19-8 Sat Sep 14 2013 02:24:22 on localhost [Seed = 3101617071] Type ? for help. Type -D to quit. Loading file "11_355__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_355 geometric_solution 15.77281713 oriented_manifold CS_known -0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 17 1 2 2 3 0132 0132 1302 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 1 -1 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 0.001715657146 0.672809272028 0 4 5 4 0132 0132 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.389883666123 0.518828794407 0 0 7 6 2031 0132 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.996209960433 1.486295654899 8 9 0 10 0132 0132 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 -1 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 0 0 0 0.660677571158 0.917203632612 1 1 11 12 3012 0132 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 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 0.951188506432 0.808868667571 10 12 13 1 0213 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.143110961049 1.251245636714 14 15 2 10 0132 0132 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.220278081414 0.901317971413 10 8 9 2 3012 0321 0321 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 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 0.354790509408 0.959014543055 3 9 16 7 0132 0321 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 -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 0.999415687112 0.718662858544 15 3 7 8 2310 0132 0321 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999415687112 0.718662858544 5 6 3 7 0213 0321 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.539303940427 1.642612952697 16 16 13 4 1302 3201 0321 0132 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 -1 1 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 0.660816165358 0.865080549870 16 5 4 14 0321 0132 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.593245593699 0.487907241745 14 15 11 5 2310 2031 0321 0132 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 -1 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 0.955723927376 0.760464984347 6 12 13 15 0132 1302 3201 1023 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 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 0.851352284996 1.089652444769 13 6 9 14 1302 0132 3201 1023 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 0 0 0 1 0 -1 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 0.261436168948 0.435002956540 12 11 11 8 0321 2031 2310 0132 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 -1 0 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 0.392842128640 1.001934791540 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_0' : d['1'], 'c_0110_6' : negation(d['c_0011_10']), 'c_1001_15' : d['c_0101_7'], 'c_1001_14' : negation(d['c_0011_16']), 'c_1001_16' : negation(d['c_0101_4']), 'c_1001_11' : d['c_0101_12'], 'c_1001_10' : d['c_1001_10'], 'c_1001_13' : negation(d['c_0110_15']), 'c_1001_12' : d['c_1001_1'], 'c_1001_5' : d['c_0011_14'], 'c_1001_4' : d['c_0101_4'], 'c_1001_7' : d['c_0011_11'], 'c_1001_6' : d['c_0101_6'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_6'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_10'], 'c_1001_8' : d['c_0011_11'], 'c_1010_13' : d['c_0011_14'], 'c_1010_12' : d['c_0011_14'], 'c_1010_11' : d['c_0101_4'], 'c_1010_10' : d['c_0101_7'], 'c_1010_16' : d['c_0011_11'], 'c_1010_15' : d['c_0101_6'], 'c_1010_14' : d['c_0110_15'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_0_13' : d['1'], 's_0_14' : d['1'], 's_3_14' : d['1'], 's_0_16' : d['1'], 's_3_16' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : negation(d['c_0011_16']), 'c_0101_10' : negation(d['c_0011_12']), 'c_0101_16' : negation(d['c_0101_12']), 'c_0101_15' : negation(d['c_0011_13']), 'c_0101_14' : negation(d['c_0011_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_12' : d['1'], 's_2_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_2_16' : d['1'], 's_2_14' : 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_0011_15' : d['c_0011_14'], 'c_0011_14' : d['c_0011_14'], 'c_0011_16' : d['c_0011_16'], 'c_1100_9' : d['c_0011_11'], 'c_1100_8' : d['c_0011_11'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_12'], 'c_1100_4' : negation(d['c_0110_15']), 'c_1100_7' : d['c_1001_10'], 'c_1100_6' : d['c_1001_10'], 'c_1100_1' : d['c_0101_12'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_1001_10'], 'c_1100_14' : negation(d['c_0011_13']), 'c_1100_15' : d['c_0011_13'], 's_0_10' : d['1'], 'c_1100_16' : d['c_0011_11'], 'c_1100_11' : negation(d['c_0110_15']), 'c_1100_10' : d['c_0101_2'], 'c_1100_13' : d['c_0101_12'], 's_3_10' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0101_7'], 'c_1010_5' : d['c_1001_1'], 's_3_12' : d['1'], 'c_1010_3' : d['c_1001_10'], 'c_1010_2' : d['c_0101_6'], 'c_1010_1' : d['c_0101_4'], 'c_1010_0' : d['c_1001_2'], 's_3_15' : d['1'], 'c_1010_9' : d['c_1001_2'], 's_0_15' : d['1'], 's_3_1' : d['1'], 'c_0101_13' : d['c_0011_16'], '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'], 'c_1100_12' : negation(d['c_0110_15']), '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_13']), 'c_0011_8' : negation(d['c_0011_13']), 'c_0011_5' : negation(d['c_0011_12']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_14']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_13'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_4'], 'c_0110_10' : d['c_0011_7'], 'c_0110_13' : d['c_0011_10'], 'c_0110_12' : negation(d['c_0011_16']), 'c_0110_15' : d['c_0110_15'], 'c_0110_14' : d['c_0101_6'], 'c_0110_16' : negation(d['c_0011_12']), 'c_1010_4' : d['c_1001_1'], 'c_0110_0' : negation(d['c_0011_7']), 's_0_8' : d['1'], 's_2_15' : d['1'], 'c_1010_8' : d['c_1001_2'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_7']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_7']), 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : negation(d['c_0101_7']), 'c_0101_8' : negation(d['c_0011_12']), 's_1_16' : d['1'], 's_1_15' : d['1'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_13'], 'c_0110_8' : negation(d['c_0011_7']), 'c_0110_1' : d['c_0011_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : negation(d['c_0011_12']), 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : negation(d['c_0011_7']), 'c_0110_4' : d['c_0101_12'], 'c_0110_7' : d['c_0101_2'], 'c_0011_10' : d['c_0011_10'], 's_2_9' : d['1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 18 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_13, c_0011_14, c_0011_16, c_0011_7, c_0101_12, c_0101_2, c_0101_4, c_0101_6, c_0101_7, c_0110_15, c_1001_1, c_1001_10, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 301866304/38979045*c_1001_2^11 + 40922848/5568435*c_1001_2^10 - 1456269629/38979045*c_1001_2^9 - 1253828189/5568435*c_1001_2^8 - 6343425329/38979045*c_1001_2^7 + 36032243/327555*c_1001_2^6 + 98085301/2292885*c_1001_2^5 - 242702716/12993015*c_1001_2^4 - 2440202/618715*c_1001_2^3 + 34493317/5568435*c_1001_2^2 - 23892166/1344105*c_1001_2 + 20325772/38979045, c_0011_0 - 1, c_0011_10 + 34693/8283*c_1001_2^11 - 82789/8283*c_1001_2^10 + 200234/8283*c_1001_2^9 + 784853/8283*c_1001_2^8 - 798928/8283*c_1001_2^7 - 1935751/8283*c_1001_2^6 + 269188/8283*c_1001_2^5 + 160456/2761*c_1001_2^4 + 8631/2761*c_1001_2^3 - 45148/8283*c_1001_2^2 + 108767/8283*c_1001_2 - 132937/8283, c_0011_11 - 22883/8283*c_1001_2^11 + 14764/8283*c_1001_2^10 - 104860/8283*c_1001_2^9 - 233109/2761*c_1001_2^8 - 684458/8283*c_1001_2^7 + 138203/8283*c_1001_2^6 + 169916/8283*c_1001_2^5 + 12152/2761*c_1001_2^4 + 1473/2761*c_1001_2^3 + 1979/8283*c_1001_2^2 - 17062/2761*c_1001_2 - 7277/8283, c_0011_12 - 14600/8283*c_1001_2^11 - 1802/8283*c_1001_2^10 - 55162/8283*c_1001_2^9 - 166845/2761*c_1001_2^8 - 759005/8283*c_1001_2^7 - 110287/8283*c_1001_2^6 + 310727/8283*c_1001_2^5 + 25957/2761*c_1001_2^4 - 6810/2761*c_1001_2^3 - 6304/8283*c_1001_2^2 - 8779/2761*c_1001_2 - 32126/8283, c_0011_13 - 22883/8283*c_1001_2^11 + 14764/8283*c_1001_2^10 - 104860/8283*c_1001_2^9 - 233109/2761*c_1001_2^8 - 684458/8283*c_1001_2^7 + 138203/8283*c_1001_2^6 + 169916/8283*c_1001_2^5 + 12152/2761*c_1001_2^4 + 1473/2761*c_1001_2^3 + 1979/8283*c_1001_2^2 - 17062/2761*c_1001_2 - 7277/8283, c_0011_14 - 51682/8283*c_1001_2^11 + 61951/8283*c_1001_2^10 - 256340/8283*c_1001_2^9 - 1446884/8283*c_1001_2^8 - 678428/8283*c_1001_2^7 + 1141102/8283*c_1001_2^6 + 196862/8283*c_1001_2^5 - 46853/2761*c_1001_2^4 - 15328/2761*c_1001_2^3 + 25009/8283*c_1001_2^2 - 128594/8283*c_1001_2 + 44641/8283, c_0011_16 - 7021/753*c_1001_2^11 + 3893/251*c_1001_2^10 - 37325/753*c_1001_2^9 - 181759/753*c_1001_2^8 + 1993/251*c_1001_2^7 + 238801/753*c_1001_2^6 - 5870/251*c_1001_2^5 - 17671/251*c_1001_2^4 - 1124/251*c_1001_2^3 + 6991/753*c_1001_2^2 - 19330/753*c_1001_2 + 4992/251, c_0011_7 + 87179/8283*c_1001_2^11 - 27760/2761*c_1001_2^10 + 416236/8283*c_1001_2^9 + 2542220/8283*c_1001_2^8 + 592758/2761*c_1001_2^7 - 1351862/8283*c_1001_2^6 - 152561/2761*c_1001_2^5 + 42706/2761*c_1001_2^4 + 5945/2761*c_1001_2^3 - 30410/8283*c_1001_2^2 + 212777/8283*c_1001_2 - 12376/2761, c_0101_12 + 108233/8283*c_1001_2^11 - 160907/8283*c_1001_2^10 + 560710/8283*c_1001_2^9 + 2889754/8283*c_1001_2^8 + 482518/8283*c_1001_2^7 - 3185738/8283*c_1001_2^6 + 42839/8283*c_1001_2^5 + 215791/2761*c_1001_2^4 + 19332/2761*c_1001_2^3 - 102647/8283*c_1001_2^2 + 280273/8283*c_1001_2 - 179336/8283, c_0101_2 - 87179/8283*c_1001_2^11 + 27760/2761*c_1001_2^10 - 416236/8283*c_1001_2^9 - 2542220/8283*c_1001_2^8 - 592758/2761*c_1001_2^7 + 1351862/8283*c_1001_2^6 + 152561/2761*c_1001_2^5 - 42706/2761*c_1001_2^4 - 5945/2761*c_1001_2^3 + 30410/8283*c_1001_2^2 - 221060/8283*c_1001_2 + 12376/2761, c_0101_4 + 98408/8283*c_1001_2^11 - 139001/8283*c_1001_2^10 + 502456/8283*c_1001_2^9 + 2663281/8283*c_1001_2^8 + 647764/8283*c_1001_2^7 - 2753600/8283*c_1001_2^6 - 71734/8283*c_1001_2^5 + 178015/2761*c_1001_2^4 + 15969/2761*c_1001_2^3 - 71261/8283*c_1001_2^2 + 245005/8283*c_1001_2 - 143513/8283, c_0101_6 + 1, c_0101_7 - 14600/8283*c_1001_2^11 - 1802/8283*c_1001_2^10 - 55162/8283*c_1001_2^9 - 166845/2761*c_1001_2^8 - 759005/8283*c_1001_2^7 - 110287/8283*c_1001_2^6 + 310727/8283*c_1001_2^5 + 25957/2761*c_1001_2^4 - 6810/2761*c_1001_2^3 - 6304/8283*c_1001_2^2 - 8779/2761*c_1001_2 - 32126/8283, c_0110_15 - 4243/753*c_1001_2^11 + 7484/753*c_1001_2^10 - 22910/753*c_1001_2^9 - 35933/251*c_1001_2^8 + 16340/753*c_1001_2^7 + 154672/753*c_1001_2^6 - 13727/753*c_1001_2^5 - 10458/251*c_1001_2^4 - 770/251*c_1001_2^3 + 2419/753*c_1001_2^2 - 3625/251*c_1001_2 + 9752/753, c_1001_1 + 66701/8283*c_1001_2^11 - 31452/2761*c_1001_2^10 + 341641/8283*c_1001_2^9 + 1804262/8283*c_1001_2^8 + 146544/2761*c_1001_2^7 - 1840400/8283*c_1001_2^6 - 928/2761*c_1001_2^5 + 126904/2761*c_1001_2^4 + 2441/2761*c_1001_2^3 - 76319/8283*c_1001_2^2 + 177449/8283*c_1001_2 - 33123/2761, c_1001_10 - 87179/8283*c_1001_2^11 + 27760/2761*c_1001_2^10 - 416236/8283*c_1001_2^9 - 2542220/8283*c_1001_2^8 - 592758/2761*c_1001_2^7 + 1351862/8283*c_1001_2^6 + 152561/2761*c_1001_2^5 - 42706/2761*c_1001_2^4 - 5945/2761*c_1001_2^3 + 30410/8283*c_1001_2^2 - 212777/8283*c_1001_2 + 12376/2761, c_1001_2^12 - 2*c_1001_2^11 + 6*c_1001_2^10 + 24*c_1001_2^9 - 9*c_1001_2^8 - 30*c_1001_2^7 + 17*c_1001_2^6 + 5*c_1001_2^5 - 3*c_1001_2^4 - c_1001_2^3 + 3*c_1001_2^2 - 3*c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2122.250 Total time: 2122.449 seconds, Total memory usage: 4487.66MB