Magma V2.19-8 Wed Aug 21 2013 01:07:23 on localhost [Seed = 762000421] Type ? for help. Type -D to quit. Loading file "L14n33251__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n33251 geometric_solution 12.07380292 oriented_manifold CS_known 0.0000000000000000 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 0 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 0.463412404134 0.757156548148 0 5 4 6 0132 0132 3012 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.300718825770 0.760570206935 7 0 9 8 0132 0132 0132 0132 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 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 -0.145404343711 1.337582703047 10 10 5 0 0132 1302 2031 0132 1 1 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 -1 1 0 0 0 0 0 0 0 0 -2 3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.518916765512 0.684943675728 4 1 0 4 3012 1230 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.016117692676 1.130463746731 11 1 9 3 0132 0132 3120 1302 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 0 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 0.795206909613 0.681448684579 12 9 1 12 0132 3120 0132 3201 1 1 1 1 0 -1 0 1 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 3 0 -3 0 0 0 0 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.519769740518 0.605337929559 2 11 10 8 0132 0132 0213 3120 1 0 1 1 0 1 0 -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 -2 0 2 1 0 -1 0 0 -2 0 2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.346704596008 0.693859391813 7 12 2 11 3120 1230 0132 2103 1 0 1 1 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 -1 1 0 0 0 0 -2 0 0 2 -2 3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.132273221446 0.617922958247 11 6 5 2 2103 3120 3120 0132 1 0 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 1 -1 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.412494073066 0.388657901210 3 7 12 3 0132 0213 0132 2031 1 1 0 1 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 2 1 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.686684048980 0.977668442495 5 7 9 8 0132 0132 2103 2103 1 0 1 1 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 2 0 -2 0 0 0 0 0 1 0 -1 1 2 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.223793914192 0.646410595965 6 6 8 10 0132 2310 3012 0132 1 1 1 1 0 -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 3 -3 0 0 0 0 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.269938561010 0.645941490642 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_8']), 'c_1001_10' : negation(d['c_0101_12']), 'c_1001_12' : negation(d['c_0011_8']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0011_12'], 'c_1001_7' : negation(d['c_0101_12']), 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_11']), 'c_1001_2' : d['c_0011_12'], 'c_1001_9' : negation(d['c_1001_5']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_0101_12']), 'c_1010_11' : negation(d['c_0101_12']), 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_0'], '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' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : negation(d['1']), 's_2_10' : 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' : 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_0011_11' : negation(d['c_0011_0']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_11']), 'c_1100_4' : d['c_0011_4'], 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : negation(d['c_0011_12']), 'c_1100_1' : negation(d['c_0011_12']), 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0101_5']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_2']), 'c_1100_10' : negation(d['c_1001_0']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_8']), 'c_1010_6' : d['c_0011_8'], 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_0011_12'], 'c_1010_9' : d['c_0011_12'], 'c_1010_8' : d['c_0101_12'], 'c_1100_8' : negation(d['c_0101_5']), 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(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_0']), '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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_8']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_5'], 'c_0110_10' : negation(d['c_0101_11']), 'c_0110_12' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_11']), 'c_0101_2' : d['c_0101_2'], '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_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_5']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_10'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0011_4'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_12'], 's_2_9' : d['1']})} 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_4, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_2, c_0101_5, c_1001_0, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 35998882/17834481*c_1001_5^9 - 92923364/5944827*c_1001_5^8 + 1068331766/17834481*c_1001_5^7 - 373598419/1981609*c_1001_5^6 + 1144818756/1981609*c_1001_5^5 - 99375757/68859*c_1001_5^4 + 44966763676/17834481*c_1001_5^3 - 51162198806/17834481*c_1001_5^2 + 3847388399/1981609*c_1001_5 - 10823316431/17834481, c_0011_0 - 1, c_0011_10 - 50/1093*c_1001_5^9 - 357/1093*c_1001_5^8 + 3065/1093*c_1001_5^7 - 9433/1093*c_1001_5^6 + 28642/1093*c_1001_5^5 - 97080/1093*c_1001_5^4 + 223156/1093*c_1001_5^3 - 297051/1093*c_1001_5^2 + 214216/1093*c_1001_5 - 68058/1093, c_0011_12 - 1947/1093*c_1001_5^9 + 13489/1093*c_1001_5^8 - 46457/1093*c_1001_5^7 + 142170/1093*c_1001_5^6 - 438227/1093*c_1001_5^5 + 1027156/1093*c_1001_5^4 - 1564263/1093*c_1001_5^3 + 1462028/1093*c_1001_5^2 - 773262/1093*c_1001_5 + 180298/1093, c_0011_4 - 1143/1093*c_1001_5^9 + 8387/1093*c_1001_5^8 - 29725/1093*c_1001_5^7 + 90030/1093*c_1001_5^6 - 278491/1093*c_1001_5^5 + 668020/1093*c_1001_5^4 - 1039259/1093*c_1001_5^3 + 983945/1093*c_1001_5^2 - 523559/1093*c_1001_5 + 121031/1093, c_0011_8 - 1726/1093*c_1001_5^9 + 12247/1093*c_1001_5^8 - 43500/1093*c_1001_5^7 + 133564/1093*c_1001_5^6 - 410187/1093*c_1001_5^5 + 980576/1093*c_1001_5^4 - 1548725/1093*c_1001_5^3 + 1514830/1093*c_1001_5^2 - 845653/1093*c_1001_5 + 210575/1093, c_0101_0 - 2435/1093*c_1001_5^9 + 19011/1093*c_1001_5^8 - 70974/1093*c_1001_5^7 + 216852/1093*c_1001_5^6 - 667407/1093*c_1001_5^5 + 1654231/1093*c_1001_5^4 - 2737311/1093*c_1001_5^3 + 2802907/1093*c_1001_5^2 - 1631559/1093*c_1001_5 + 426040/1093, c_0101_1 - 2754/1093*c_1001_5^9 + 19597/1093*c_1001_5^8 - 68798/1093*c_1001_5^7 + 209986/1093*c_1001_5^6 - 647222/1093*c_1001_5^5 + 1538515/1093*c_1001_5^4 - 2386858/1093*c_1001_5^3 + 2270321/1093*c_1001_5^2 - 1220755/1093*c_1001_5 + 289432/1093, c_0101_11 - 219/1093*c_1001_5^9 + 207/1093*c_1001_5^8 + 2604/1093*c_1001_5^7 - 7674/1093*c_1001_5^6 + 23016/1093*c_1001_5^5 - 108459/1093*c_1001_5^4 + 295435/1093*c_1001_5^3 - 418311/1093*c_1001_5^2 + 303714/1093*c_1001_5 - 94490/1093, c_0101_12 - 171/1093*c_1001_5^9 + 1599/1093*c_1001_5^8 - 6022/1093*c_1001_5^7 + 18039/1093*c_1001_5^6 - 56682/1093*c_1001_5^5 + 143660/1093*c_1001_5^4 - 238694/1093*c_1001_5^3 + 244249/1093*c_1001_5^2 - 141825/1093*c_1001_5 + 36688/1093, c_0101_2 - 1, c_0101_5 + 928/1093*c_1001_5^9 - 8064/1093*c_1001_5^8 + 31428/1093*c_1001_5^7 - 95288/1093*c_1001_5^6 + 294319/1093*c_1001_5^5 - 752099/1093*c_1001_5^4 + 1284445/1093*c_1001_5^3 - 1349593/1093*c_1001_5^2 + 802441/1093*c_1001_5 - 214973/1093, c_1001_0 - 2704/1093*c_1001_5^9 + 19954/1093*c_1001_5^8 - 71863/1093*c_1001_5^7 + 219419/1093*c_1001_5^6 - 675864/1093*c_1001_5^5 + 1635595/1093*c_1001_5^4 - 2610014/1093*c_1001_5^3 + 2567372/1093*c_1001_5^2 - 1433878/1093*c_1001_5 + 357490/1093, c_1001_5^10 - 9*c_1001_5^9 + 39*c_1001_5^8 - 127*c_1001_5^7 + 390*c_1001_5^6 - 1036*c_1001_5^5 + 2026*c_1001_5^4 - 2685*c_1001_5^3 + 2285*c_1001_5^2 - 1140*c_1001_5 + 259 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.340 Total time: 0.540 seconds, Total memory usage: 32.09MB