Magma V2.19-8 Tue Aug 20 2013 16:14:20 on localhost [Seed = 1663237952] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s309 geometric_solution 4.47691626 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 2310 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 0 0 0 0 0 1.848423527267 0.522492640386 0 2 3 0 3201 0132 0132 0132 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 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 0.506550266081 0.811861662368 4 1 3 3 0132 0132 1302 2031 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 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 0.379388322519 0.423416629196 2 2 4 1 2031 1302 0132 0132 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 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 0.379388322519 0.423416629196 2 5 5 3 0132 0132 3201 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 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 0.506550266081 0.811861662368 4 4 5 5 2310 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.848423527267 0.522492640386 ==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_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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0101_4']), 'c_1100_4' : d['c_0011_1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0101_4']), 'c_0110_4' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 1/2*c_0101_5^5 + 1/2*c_0101_5^4 - 5/2*c_0101_5^3 - 3*c_0101_5^2 + 7/2*c_0101_5 + 4, c_0011_0 - 1, c_0011_1 - c_0101_5^2 + 1, c_0011_3 + c_0101_5^3 - 2*c_0101_5, c_0101_0 - c_0101_5, c_0101_4 + 1, c_0101_5^6 - c_0101_5^5 - 4*c_0101_5^4 + 3*c_0101_5^3 + 4*c_0101_5^2 - 2*c_0101_5 + 1 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 6670883/60139*c_0101_5^9 - 35818007/60139*c_0101_5^8 - 113231739/60139*c_0101_5^7 - 148238051/60139*c_0101_5^6 + 166391867/60139*c_0101_5^5 + 256242012/60139*c_0101_5^4 - 186791547/60139*c_0101_5^3 + 56123477/60139*c_0101_5^2 + 42269809/60139*c_0101_5 - 18996342/60139, c_0011_0 - 1, c_0011_1 + 522791/60139*c_0101_5^9 + 2807591/60139*c_0101_5^8 + 8881695/60139*c_0101_5^7 + 11653511/60139*c_0101_5^6 - 12934271/60139*c_0101_5^5 - 19943136/60139*c_0101_5^4 + 14617833/60139*c_0101_5^3 - 4485646/60139*c_0101_5^2 - 3314188/60139*c_0101_5 + 1416437/60139, c_0011_3 + 46776/60139*c_0101_5^9 + 254581/60139*c_0101_5^8 + 816843/60139*c_0101_5^7 + 1123372/60139*c_0101_5^6 - 1006962/60139*c_0101_5^5 - 1756250/60139*c_0101_5^4 + 1094586/60139*c_0101_5^3 - 484686/60139*c_0101_5^2 - 239588/60139*c_0101_5 + 90847/60139, c_0101_0 - 1550067/60139*c_0101_5^9 - 8306672/60139*c_0101_5^8 - 26229624/60139*c_0101_5^7 - 34203076/60139*c_0101_5^6 + 38911399/60139*c_0101_5^5 + 58940430/60139*c_0101_5^4 - 44057081/60139*c_0101_5^3 + 13581788/60139*c_0101_5^2 + 9646722/60139*c_0101_5 - 4302863/60139, c_0101_4 + 469173/60139*c_0101_5^9 + 2522455/60139*c_0101_5^8 + 7986464/60139*c_0101_5^7 + 10508635/60139*c_0101_5^6 - 11541947/60139*c_0101_5^5 - 17982550/60139*c_0101_5^4 + 12932000/60139*c_0101_5^3 - 4019995/60139*c_0101_5^2 - 2900537/60139*c_0101_5 + 1239329/60139, c_0101_5^10 + 5*c_0101_5^9 + 15*c_0101_5^8 + 16*c_0101_5^7 - 33*c_0101_5^6 - 29*c_0101_5^5 + 42*c_0101_5^4 - 19*c_0101_5^3 - 3*c_0101_5^2 + 5*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB