Magma V2.19-8 Tue Aug 20 2013 16:16:43 on localhost [Seed = 1916006073] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1000 geometric_solution 4.88688578 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3201 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 1 0 -1 1 0 -1 0 -1 0 0 1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.441171034117 0.889890824898 0 4 0 2 0132 0132 2310 0321 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 -1 0 2 -1 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.447191319720 0.902034407561 3 1 4 0 1302 0321 2103 0132 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 0 0 0 -1 0 0 1 1 1 0 -2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.987807921242 1.611835640083 5 2 0 4 0132 2031 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.335563785526 0.260779357516 2 1 5 3 2103 0132 0213 2103 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 0.112965354817 1.159406493132 3 4 6 6 0132 0213 0132 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 1.367190333314 5.365372321904 6 5 6 5 2031 2310 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.354134561114 0.357097374674 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(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' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : negation(d['c_0101_5']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0110_4']), 'c_1100_3' : negation(d['c_0110_4']), 'c_1100_2' : negation(d['c_0110_4']), 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_2']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], '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' : d['c_0011_3'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0011_2'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_2']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : negation(d['c_0011_2']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : d['c_0011_2'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0011_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_2, c_0011_3, c_0011_6, c_0101_1, c_0101_5, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 157/2*c_0110_4^9 + 2041/16*c_0110_4^8 + 15245/32*c_0110_4^7 + 21319/32*c_0110_4^6 + 124439/128*c_0110_4^5 + 281261/256*c_0110_4^4 + 389029/512*c_0110_4^3 + 317883/512*c_0110_4^2 + 90839/512*c_0110_4 + 40755/512, c_0011_0 - 1, c_0011_2 + 39/4*c_0110_4^9 + 21/8*c_0110_4^8 + 201/4*c_0110_4^7 + 365/32*c_0110_4^6 + 5157/64*c_0110_4^5 + 1797/128*c_0110_4^4 + 345/8*c_0110_4^3 + 303/64*c_0110_4^2 + 339/64*c_0110_4 + 25/128, c_0011_3 - 203/8*c_0101_5*c_0110_4^9 - 217/16*c_0101_5*c_0110_4^8 - 1075/8*c_0101_5*c_0110_4^7 - 3849/64*c_0101_5*c_0110_4^6 - 28473/128*c_0101_5*c_0110_4^5 - 19081/256*c_0101_5*c_0110_4^4 - 7787/64*c_0101_5*c_0110_4^3 - 2961/128*c_0101_5*c_0110_4^2 - 1681/128*c_0101_5*c_0110_4 - 161/256*c_0101_5, c_0011_6 + 47/8*c_0101_5*c_0110_4^9 - 11/16*c_0101_5*c_0110_4^8 + 235/8*c_0101_5*c_0110_4^7 - 331/64*c_0101_5*c_0110_4^6 + 5557/128*c_0101_5*c_0110_4^5 - 3163/256*c_0101_5*c_0110_4^4 + 1081/64*c_0101_5*c_0110_4^3 - 1255/128*c_0101_5*c_0110_4^2 - 199/128*c_0101_5*c_0110_4 - 251/256*c_0101_5, c_0101_1 - 45/8*c_0101_5*c_0110_4^9 + 1/16*c_0101_5*c_0110_4^8 - 225/8*c_0101_5*c_0110_4^7 + 65/64*c_0101_5*c_0110_4^6 - 5311/128*c_0101_5*c_0110_4^5 + 433/256*c_0101_5*c_0110_4^4 - 1019/64*c_0101_5*c_0110_4^3 - 163/128*c_0101_5*c_0110_4^2 + 213/128*c_0101_5*c_0110_4 - 255/256*c_0101_5, c_0101_5^2 - 1/4*c_0110_4^9 - 3/8*c_0110_4^8 - 7/4*c_0110_4^7 - 75/32*c_0110_4^6 - 307/64*c_0110_4^5 - 723/128*c_0110_4^4 - 21/4*c_0110_4^3 - 233/64*c_0110_4^2 - 93/64*c_0110_4 - 63/128, c_0110_4^10 + 1/2*c_0110_4^9 + 11/2*c_0110_4^8 + 19/8*c_0110_4^7 + 157/16*c_0110_4^6 + 109/32*c_0110_4^5 + 205/32*c_0110_4^4 + 25/16*c_0110_4^3 + 5/4*c_0110_4^2 + 5/32*c_0110_4 + 1/32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB