Magma V2.19-8 Tue Aug 20 2013 16:14:45 on localhost [Seed = 3819077509] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s744 geometric_solution 5.27354737 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 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 -1 1 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 0.529934622315 0.351920603976 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.160546316871 0.517708817079 1 3 4 5 0132 0213 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 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 0.629378158883 0.546318636783 5 4 2 1 0132 1023 0213 0132 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 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 0.629378158883 0.546318636783 3 4 4 2 1023 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 -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 0.620669614117 0.611882989121 3 5 2 5 0132 1302 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.926967604394 1.155310735971 ==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' : negation(d['1']), 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : 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_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_1']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], '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' : negation(d['c_0011_1']), 'c_1001_4' : negation(d['c_0101_4']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0011_1']), 'c_0110_4' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_1']), '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_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 183929602/63032695*c_0101_4^10 + 196248119/12606539*c_0101_4^9 + 597618132/63032695*c_0101_4^8 - 4100696558/63032695*c_0101_4^7 - 834650748/63032695*c_0101_4^6 + 951142681/63032695*c_0101_4^5 - 753685851/12606539*c_0101_4^4 - 1209689306/63032695*c_0101_4^3 - 1578685712/63032695*c_0101_4^2 + 746585091/63032695*c_0101_4 - 423815611/63032695, c_0011_0 - 1, c_0011_1 + 23595/1146049*c_0101_4^10 + 81810/1146049*c_0101_4^9 - 1098806/1146049*c_0101_4^8 - 446522/1146049*c_0101_4^7 + 3488631/1146049*c_0101_4^6 + 2966433/1146049*c_0101_4^5 + 2707542/1146049*c_0101_4^4 + 3728964/1146049*c_0101_4^3 + 3092813/1146049*c_0101_4^2 + 2629897/1146049*c_0101_4 + 1081051/1146049, c_0011_3 - 5419/1146049*c_0101_4^10 - 3489/1146049*c_0101_4^9 + 314483/1146049*c_0101_4^8 - 737593/1146049*c_0101_4^7 - 766690/1146049*c_0101_4^6 + 2374498/1146049*c_0101_4^5 - 60248/1146049*c_0101_4^4 - 730669/1146049*c_0101_4^3 + 1025537/1146049*c_0101_4^2 + 100871/1146049*c_0101_4 + 723686/1146049, c_0101_0 - 456894/1146049*c_0101_4^10 + 2282379/1146049*c_0101_4^9 + 2311463/1146049*c_0101_4^8 - 9682164/1146049*c_0101_4^7 - 5387931/1146049*c_0101_4^6 + 844111/1146049*c_0101_4^5 - 8282472/1146049*c_0101_4^4 - 3820293/1146049*c_0101_4^3 - 5707907/1146049*c_0101_4^2 - 92817/1146049*c_0101_4 + 245757/1146049, c_0101_1 - 567864/1146049*c_0101_4^10 + 2374834/1146049*c_0101_4^9 + 5123790/1146049*c_0101_4^8 - 9592259/1146049*c_0101_4^7 - 15315415/1146049*c_0101_4^6 - 4840949/1146049*c_0101_4^5 - 12886910/1146049*c_0101_4^4 - 16016854/1146049*c_0101_4^3 - 14045572/1146049*c_0101_4^2 - 6666437/1146049*c_0101_4 - 208454/1146049, c_0101_4^11 - 5*c_0101_4^10 - 5*c_0101_4^9 + 21*c_0101_4^8 + 12*c_0101_4^7 - 3*c_0101_4^6 + 19*c_0101_4^5 + 13*c_0101_4^4 + 11*c_0101_4^3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB