Magma V2.19-8 Tue Aug 20 2013 16:17:28 on localhost [Seed = 3330759171] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1691 geometric_solution 5.40923164 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 2310 1023 3201 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 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 0.763269216998 0.100935024280 0 2 0 2 0132 0132 1023 1023 0 0 0 0 0 0 1 -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 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 0.658623729861 0.268233452936 3 1 4 1 0132 0132 0132 1023 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 0 0 0 -1 0 0 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 1.190106630167 1.435684880024 2 4 6 5 0132 3201 0132 0132 0 0 0 0 0 0 0 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 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 -0.169474143814 0.964625739484 5 6 3 2 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 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 -0.169474143814 0.964625739484 5 5 3 4 1302 2031 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 -1 0 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 0.176678325745 1.005631046641 6 6 4 3 1230 3012 2310 0132 0 0 0 0 0 0 0 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 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 0.176678325745 1.005631046641 ==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' : negation(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' : negation(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' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(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_4'], 'c_1100_5' : d['c_0011_4'], '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' : d['c_0101_4'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : negation(d['c_0011_5']), 'c_0101_1' : d['c_0101_1'], '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_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' : d['c_0101_4'], 'c_1001_4' : negation(d['c_0101_4']), 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : d['c_0011_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : d['c_0011_6'], 'c_0110_5' : negation(d['c_0101_4']), 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_6'], 'c_1010_0' : negation(d['c_0101_1'])})} 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_5, c_0011_6, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t + 2939/8*c_0101_1*c_0101_4^10 - 13511/8*c_0101_1*c_0101_4^9 + 77389/16*c_0101_1*c_0101_4^8 - 8849/2*c_0101_1*c_0101_4^7 + 45069/8*c_0101_1*c_0101_4^6 + 429/4*c_0101_1*c_0101_4^5 - 12071/8*c_0101_1*c_0101_4^4 + 11367/8*c_0101_1*c_0101_4^3 - 12615/8*c_0101_1*c_0101_4^2 - 1081/4*c_0101_1*c_0101_4 + 6519/16*c_0101_1, c_0011_0 - 1, c_0011_4 - 12*c_0101_1*c_0101_4^10 + 213/4*c_0101_1*c_0101_4^9 - 301/2*c_0101_1*c_0101_4^8 + 999/8*c_0101_1*c_0101_4^7 - 1411/8*c_0101_1*c_0101_4^6 - 179/8*c_0101_1*c_0101_4^5 + 255/8*c_0101_1*c_0101_4^4 - 365/8*c_0101_1*c_0101_4^3 + 355/8*c_0101_1*c_0101_4^2 + 95/8*c_0101_1*c_0101_4 - 75/8*c_0101_1, c_0011_5 + 27/8*c_0101_1*c_0101_4^10 - 135/8*c_0101_1*c_0101_4^9 + 797/16*c_0101_1*c_0101_4^8 - 55*c_0101_1*c_0101_4^7 + 469/8*c_0101_1*c_0101_4^6 - 15*c_0101_1*c_0101_4^5 - 187/8*c_0101_1*c_0101_4^4 + 95/8*c_0101_1*c_0101_4^3 - 155/8*c_0101_1*c_0101_4^2 + 95/16*c_0101_1, c_0011_6 - 123/8*c_0101_1*c_0101_4^10 + 561/8*c_0101_1*c_0101_4^9 - 3205/16*c_0101_1*c_0101_4^8 + 1439/8*c_0101_1*c_0101_4^7 - 235*c_0101_1*c_0101_4^6 - 59/8*c_0101_1*c_0101_4^5 + 221/4*c_0101_1*c_0101_4^4 - 115/2*c_0101_1*c_0101_4^3 + 255/4*c_0101_1*c_0101_4^2 + 95/8*c_0101_1*c_0101_4 - 245/16*c_0101_1, c_0101_0 + 7/4*c_0101_1*c_0101_4^10 - 9*c_0101_1*c_0101_4^9 + 209/8*c_0101_1*c_0101_4^8 - 223/8*c_0101_1*c_0101_4^7 + 175/8*c_0101_1*c_0101_4^6 - 1/8*c_0101_1*c_0101_4^5 - 227/8*c_0101_1*c_0101_4^4 + 75/8*c_0101_1*c_0101_4^3 - 95/8*c_0101_1*c_0101_4^2 - 15/8*c_0101_1*c_0101_4 + 6*c_0101_1, c_0101_1^2 - 123/8*c_0101_4^10 + 557/8*c_0101_4^9 - 3197/16*c_0101_4^8 + 1453/8*c_0101_4^7 - 507/2*c_0101_4^6 + 79/8*c_0101_4^5 + 79/4*c_0101_4^4 - 195/4*c_0101_4^3 + 235/4*c_0101_4^2 + 65/8*c_0101_4 - 181/16, c_0101_4^11 - 4*c_0101_4^10 + 21/2*c_0101_4^9 - 9/2*c_0101_4^8 + 9*c_0101_4^7 + 9*c_0101_4^6 - 3*c_0101_4^5 + 2*c_0101_4^4 - 2*c_0101_4^3 - 3*c_0101_4^2 + 1/2*c_0101_4 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB