Magma V2.19-8 Tue Aug 20 2013 16:18:49 on localhost [Seed = 3684320934] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2979 geometric_solution 6.15703332 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 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 -0.046964523616 1.051569501416 0 2 6 5 0132 2310 0132 0132 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 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 -0.046964523616 1.051569501416 2 0 2 1 2310 0132 3201 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.042386597979 0.949066449982 6 4 5 0 0213 2310 1230 0132 0 0 0 0 0 -1 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 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 1.519064735294 1.097526985349 6 5 0 3 1023 3120 0132 3201 0 0 0 0 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 -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 0.110996227155 0.632928417978 6 4 1 3 2310 3120 0132 3012 0 0 0 0 0 0 0 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 0 0 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 0.621358146932 0.773166106611 3 4 5 1 0213 1023 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.302772175156 1.598132903399 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : 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_0_6' : 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_1100_6' : negation(d['c_0011_5']), 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_5']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0101_0']), 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0101_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], '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_1001_5' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0101_0']), 'c_1001_1' : d['c_0110_4'], 'c_1001_0' : negation(d['c_0110_4']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : negation(d['c_0101_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : negation(d['c_0101_0']), 'c_1010_6' : d['c_0110_4'], 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : negation(d['c_0110_4']), 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : negation(d['c_0101_2'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_5, c_0101_0, c_0101_2, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 10769821/336179*c_0110_4^10 + 78055891/672358*c_0110_4^9 + 58460399/1344716*c_0110_4^8 - 877829141/2689432*c_0110_4^7 - 92009659/2689432*c_0110_4^6 + 46412152/336179*c_0110_4^5 + 161193307/1344716*c_0110_4^4 + 102731797/1344716*c_0110_4^3 - 219126945/1344716*c_0110_4^2 - 72195193/2689432*c_0110_4 - 47193487/2689432, c_0011_0 - 1, c_0011_3 - 1482608/2353253*c_0110_4^10 + 5791960/2353253*c_0110_4^9 - 266766/2353253*c_0110_4^8 - 12276003/2353253*c_0110_4^7 + 1572051/4706506*c_0110_4^6 + 5330175/9413012*c_0110_4^5 + 25529799/9413012*c_0110_4^4 + 2313522/2353253*c_0110_4^3 - 18341685/9413012*c_0110_4^2 - 8837643/9413012*c_0110_4 - 770801/2353253, c_0011_4 + 1574252/2353253*c_0110_4^10 - 5806422/2353253*c_0110_4^9 - 1814579/2353253*c_0110_4^8 + 31939533/4706506*c_0110_4^7 + 2840027/2353253*c_0110_4^6 - 19991631/4706506*c_0110_4^5 - 33148991/9413012*c_0110_4^4 + 5719563/9413012*c_0110_4^3 + 7811912/2353253*c_0110_4^2 + 10887551/9413012*c_0110_4 - 2253463/9413012, c_0011_5 + 1482608/2353253*c_0110_4^10 - 5791960/2353253*c_0110_4^9 + 266766/2353253*c_0110_4^8 + 12276003/2353253*c_0110_4^7 - 1572051/4706506*c_0110_4^6 - 5330175/9413012*c_0110_4^5 - 25529799/9413012*c_0110_4^4 - 2313522/2353253*c_0110_4^3 + 18341685/9413012*c_0110_4^2 + 8837643/9413012*c_0110_4 + 770801/2353253, c_0101_0 + 2705970/2353253*c_0110_4^10 - 11883605/2353253*c_0110_4^9 + 12695759/4706506*c_0110_4^8 + 71747843/9413012*c_0110_4^7 - 5840099/2353253*c_0110_4^6 - 442131/9413012*c_0110_4^5 - 77483393/9413012*c_0110_4^4 + 6404712/2353253*c_0110_4^3 + 16477431/9413012*c_0110_4^2 + 8603509/4706506*c_0110_4 + 393973/4706506, c_0101_2 - 550633/336179*c_0110_4^10 + 5235679/672358*c_0110_4^9 - 8428429/1344716*c_0110_4^8 - 28759665/2689432*c_0110_4^7 + 25868665/2689432*c_0110_4^6 - 247947/1344716*c_0110_4^5 + 9840801/1344716*c_0110_4^4 - 2426127/336179*c_0110_4^3 - 923615/672358*c_0110_4^2 + 524251/2689432*c_0110_4 + 1852483/2689432, c_0110_4^11 - 9/2*c_0110_4^10 + 11/4*c_0110_4^9 + 55/8*c_0110_4^8 - 15/4*c_0110_4^7 - 3/8*c_0110_4^6 - 21/4*c_0110_4^5 + 3*c_0110_4^4 + 3/2*c_0110_4^3 + 7/8*c_0110_4^2 - 1/4*c_0110_4 + 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB