Magma V2.19-8 Tue Aug 20 2013 16:16:00 on localhost [Seed = 1528481692] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0238 geometric_solution 4.23416739 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 1302 1023 2031 0 0 0 0 0 -1 0 1 0 0 -1 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 -2 0 0 1 -1 -1 2 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.637931143919 0.028530580489 0 2 0 2 0132 0132 1023 1023 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 0 0 0 0 0 -1 1 0 0 -1 1 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.686305046723 0.078984434423 3 1 4 1 0132 0132 0132 1023 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 0 1 -1 0 0 1 -1 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.517160287362 0.362392234073 2 5 4 4 0132 0132 3012 2310 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 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 0.285489221980 1.521430380738 3 3 5 2 3201 1230 3201 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 0.285489221980 1.521430380738 4 3 6 6 2310 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.618325054734 1.852531337420 5 6 6 5 3201 3201 2310 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 -1 0 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.418283446111 0.580579410371 ==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' : 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' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : negation(d['c_0101_2']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : d['c_0011_0']})} 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_4, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 92066934/611803*c_0101_3^12 + 206114408/611803*c_0101_3^11 - 411851547/611803*c_0101_3^10 - 930892941/611803*c_0101_3^9 - 685680749/611803*c_0101_3^8 + 1321954241/611803*c_0101_3^7 + 3288052284/611803*c_0101_3^6 - 1953356489/611803*c_0101_3^5 - 2793749693/611803*c_0101_3^4 + 3433984370/611803*c_0101_3^3 + 118972500/611803*c_0101_3^2 - 2182946797/611803*c_0101_3 + 353652826/611803, c_0011_0 - 1, c_0011_4 - 427823/611803*c_0101_3^12 - 1165056/611803*c_0101_3^11 + 1631161/611803*c_0101_3^10 + 5304047/611803*c_0101_3^9 + 3887497/611803*c_0101_3^8 - 4849649/611803*c_0101_3^7 - 17731316/611803*c_0101_3^6 + 6951969/611803*c_0101_3^5 + 19637177/611803*c_0101_3^4 - 19717826/611803*c_0101_3^3 - 4461326/611803*c_0101_3^2 + 14331787/611803*c_0101_3 - 3284580/611803, c_0011_6 + 779935/611803*c_0101_3^12 + 1765544/611803*c_0101_3^11 - 3521037/611803*c_0101_3^10 - 8083135/611803*c_0101_3^9 - 5568909/611803*c_0101_3^8 + 11492721/611803*c_0101_3^7 + 28323210/611803*c_0101_3^6 - 17094297/611803*c_0101_3^5 - 26050869/611803*c_0101_3^4 + 31700927/611803*c_0101_3^3 + 1693114/611803*c_0101_3^2 - 21323629/611803*c_0101_3 + 4524348/611803, c_0101_0 - 595183/611803*c_0101_3^12 - 1338629/611803*c_0101_3^11 + 2709822/611803*c_0101_3^10 + 6149181/611803*c_0101_3^9 + 4228305/611803*c_0101_3^8 - 8871854/611803*c_0101_3^7 - 21927747/611803*c_0101_3^6 + 13164088/611803*c_0101_3^5 + 19549882/611803*c_0101_3^4 - 23082733/611803*c_0101_3^3 - 606132/611803*c_0101_3^2 + 14737049/611803*c_0101_3 - 2924296/611803, c_0101_1 + 390426/611803*c_0101_3^12 + 805553/611803*c_0101_3^11 - 1874935/611803*c_0101_3^10 - 3603188/611803*c_0101_3^9 - 2326843/611803*c_0101_3^8 + 5986157/611803*c_0101_3^7 + 12699216/611803*c_0101_3^6 - 10482703/611803*c_0101_3^5 - 9897135/611803*c_0101_3^4 + 16550788/611803*c_0101_3^3 - 1518207/611803*c_0101_3^2 - 9249779/611803*c_0101_3 + 2379987/611803, c_0101_2 + 619884/611803*c_0101_3^12 + 1415824/611803*c_0101_3^11 - 2799176/611803*c_0101_3^10 - 6523894/611803*c_0101_3^9 - 4488964/611803*c_0101_3^8 + 9077438/611803*c_0101_3^7 + 23157824/611803*c_0101_3^6 - 13300573/611803*c_0101_3^5 - 20568264/611803*c_0101_3^4 + 24687934/611803*c_0101_3^3 + 726577/611803*c_0101_3^2 - 16261322/611803*c_0101_3 + 3314722/611803, c_0101_3^13 + 2*c_0101_3^12 - 5*c_0101_3^11 - 9*c_0101_3^10 - 5*c_0101_3^9 + 16*c_0101_3^8 + 32*c_0101_3^7 - 30*c_0101_3^6 - 25*c_0101_3^5 + 45*c_0101_3^4 - 8*c_0101_3^3 - 24*c_0101_3^2 + 10*c_0101_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB