Magma V2.19-8 Tue Aug 20 2013 16:17:06 on localhost [Seed = 1747580089] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1346 geometric_solution 5.21882675 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 1023 2310 0 0 0 0 0 0 -1 1 1 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 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 0.735013959620 0.199044369221 0 3 0 4 0132 0132 1023 0132 0 0 0 0 0 -1 1 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 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 0.784057572715 0.958264505572 0 0 2 2 3201 0132 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.572854270846 0.101872339192 4 1 5 6 3201 0132 0132 0132 0 1 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 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 -0.454892380225 1.313953172895 5 6 1 3 2310 2310 0132 2310 0 0 1 0 0 0 0 0 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 -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 -0.454892380225 1.313953172895 6 6 4 3 0132 3120 3201 0132 0 1 0 0 0 0 -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 0 0 0 0 0 0 0 0 0 -1 0 0 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 0.235281046837 0.679607510377 5 5 3 4 0132 3120 0132 3201 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 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 0.235281046837 0.679607510377 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : 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' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0110_2'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), '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' : negation(d['c_0011_5']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_0']), 'c_1001_4' : d['c_0011_5'], 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : negation(d['c_0110_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_3'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0011_5'], 'c_1010_0' : negation(d['c_0110_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_4, c_0011_5, c_0101_0, c_0101_1, c_0101_3, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 23901/22*c_0110_2^10 + 9387/2*c_0110_2^9 + 64769/22*c_0110_2^8 - 266873/22*c_0110_2^7 - 15513*c_0110_2^6 + 210847/22*c_0110_2^5 + 485095/22*c_0110_2^4 - 97538/11*c_0110_2^3 - 108743/11*c_0110_2^2 + 72447/11*c_0110_2 - 11793/11, c_0011_0 - 1, c_0011_4 - 915*c_0110_2^10 - 4086*c_0110_2^9 - 3116*c_0110_2^8 + 9560*c_0110_2^7 + 14244*c_0110_2^6 - 5623*c_0110_2^5 - 18598*c_0110_2^4 + 4757*c_0110_2^3 + 8139*c_0110_2^2 - 4432*c_0110_2 + 628, c_0011_5 - 912*c_0110_2^10 - 4074*c_0110_2^9 - 3112*c_0110_2^8 + 9524*c_0110_2^7 + 14212*c_0110_2^6 - 5583*c_0110_2^5 - 18546*c_0110_2^4 + 4713*c_0110_2^3 + 8120*c_0110_2^2 - 4404*c_0110_2 + 620, c_0101_0 + 3*c_0110_2^10 + 12*c_0110_2^9 + 4*c_0110_2^8 - 36*c_0110_2^7 - 32*c_0110_2^6 + 40*c_0110_2^5 + 52*c_0110_2^4 - 44*c_0110_2^3 - 19*c_0110_2^2 + 28*c_0110_2 - 8, c_0101_1 - 579*c_0110_2^10 - 2505*c_0110_2^9 - 1585*c_0110_2^8 + 6453*c_0110_2^7 + 8305*c_0110_2^6 - 5052*c_0110_2^5 - 11772*c_0110_2^4 + 4652*c_0110_2^3 + 5283*c_0110_2^2 - 3480*c_0110_2 + 561, c_0101_3 - 1, c_0110_2^11 + 4*c_0110_2^10 + 4/3*c_0110_2^9 - 12*c_0110_2^8 - 32/3*c_0110_2^7 + 40/3*c_0110_2^6 + 52/3*c_0110_2^5 - 44/3*c_0110_2^4 - 19/3*c_0110_2^3 + 9*c_0110_2^2 - 3*c_0110_2 + 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB