Magma V2.19-8 Tue Aug 20 2013 16:18:46 on localhost [Seed = 1511769898] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2926 geometric_solution 6.12553579 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1302 2031 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 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 0.701289586542 0.297035894023 3 2 4 0 0132 3012 0132 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 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 0.790957999179 0.512097824518 1 3 0 5 1230 3201 0132 0132 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 1 -1 0 0 0 0 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.790957999179 0.512097824518 1 6 2 6 0132 0132 2310 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.968943307091 1.478537483385 5 5 6 1 1302 1023 2103 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -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 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.928648983396 1.291420157558 4 4 2 6 1023 2031 0132 3012 0 0 0 0 0 -1 0 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 0 1 -1 0 0 0 0 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.928648983396 1.291420157558 4 3 5 3 2103 0132 1230 1023 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 1 0 -1 0 0 1 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.679445693770 1.478115899327 ==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' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_2']), 'c_1100_5' : negation(d['c_0110_6']), 'c_1100_4' : negation(d['c_0110_6']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0110_6']), 'c_1100_0' : negation(d['c_0110_6']), 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : negation(d['c_0110_6']), 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0011_1'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_0011_1'], 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : negation(d['c_0011_2']), 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : d['c_0110_6'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_1, c_0011_2, c_0011_4, c_0101_1, c_0101_2, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 111/64*c_0101_2*c_0110_6^8 + 495/32*c_0101_2*c_0110_6^7 + 1263/32*c_0101_2*c_0110_6^6 + 95/16*c_0101_2*c_0110_6^5 - 3101/64*c_0101_2*c_0110_6^4 + 1309/32*c_0101_2*c_0110_6^3 + 117/16*c_0101_2*c_0110_6^2 + 345/16*c_0101_2*c_0110_6 + 81/16*c_0101_2, c_0011_0 - 1, c_0011_1 + 1/32*c_0110_6^8 + 3/16*c_0110_6^7 - 1/16*c_0110_6^6 - 7/4*c_0110_6^5 - 31/32*c_0110_6^4 + 47/16*c_0110_6^3 - 17/8*c_0110_6^2 + 7/8*c_0110_6 - 5/8, c_0011_2 - 1/32*c_0110_6^8 - 3/16*c_0110_6^7 + 1/16*c_0110_6^6 + 7/4*c_0110_6^5 + 31/32*c_0110_6^4 - 47/16*c_0110_6^3 + 17/8*c_0110_6^2 - 7/8*c_0110_6 + 5/8, c_0011_4 - 9/64*c_0101_2*c_0110_6^8 - 41/32*c_0101_2*c_0110_6^7 - 113/32*c_0101_2*c_0110_6^6 - 29/16*c_0101_2*c_0110_6^5 + 139/64*c_0101_2*c_0110_6^4 - 99/32*c_0101_2*c_0110_6^3 + 5/16*c_0101_2*c_0110_6^2 - 15/16*c_0101_2*c_0110_6 - 7/16*c_0101_2, c_0101_1 + 5/64*c_0101_2*c_0110_6^8 + 23/32*c_0101_2*c_0110_6^7 + 63/32*c_0101_2*c_0110_6^6 + 5/8*c_0101_2*c_0110_6^5 - 179/64*c_0101_2*c_0110_6^4 + 11/32*c_0101_2*c_0110_6^3 + 11/16*c_0101_2*c_0110_6^2 + 3/16*c_0101_2*c_0110_6 + 7/16*c_0101_2, c_0101_2^2 + c_0110_6 - 1, c_0110_6^9 + 9*c_0110_6^8 + 24*c_0110_6^7 + 10*c_0110_6^6 - 15*c_0110_6^5 + 25*c_0110_6^4 - 10*c_0110_6^3 + 16*c_0110_6^2 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB