Magma V2.19-8 Tue Aug 20 2013 16:18:13 on localhost [Seed = 2261195709] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2428 geometric_solution 5.77577759 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 2 0132 0132 0132 2103 0 0 0 0 0 0 1 -1 0 0 1 -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 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 -0.282277171889 0.783111336626 0 4 5 5 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.111235147308 0.920732087548 4 0 6 0 0132 0132 0132 2103 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 -1 1 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 0.496501474129 0.458035153455 4 6 4 0 3012 2103 3120 0132 0 0 0 0 0 1 0 -1 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 -1 0 1 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 0.004824246845 1.489382895693 2 1 3 3 0132 0132 3120 1230 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 -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 0.478932150739 1.135431826174 5 1 1 5 3012 3201 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.152394303811 0.635934496474 6 3 6 2 2310 2103 3201 0132 0 0 0 0 0 0 0 0 0 0 -1 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 1 -1 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 1.108330342356 0.986869816261 ==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_6']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0101_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : negation(d['c_0101_4']), 'c_1100_3' : negation(d['c_0101_4']), 'c_1100_2' : negation(d['c_0011_6']), 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0011_6'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], '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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_6']), 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : negation(d['c_1001_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_6'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : negation(d['c_1001_0']), 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_6']), 'c_1010_0' : negation(d['c_1001_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_3, c_0011_5, c_0011_6, c_0101_0, c_0101_4, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 21234203/173252*c_1001_0^12 + 254581695/346504*c_1001_0^11 - 69314835/693008*c_1001_0^10 - 3640883491/1386016*c_1001_0^9 + 1190956503/1386016*c_1001_0^8 + 4793850243/1386016*c_1001_0^7 - 1432790379/1386016*c_1001_0^6 - 78545223/43313*c_1001_0^5 + 301808329/693008*c_1001_0^4 + 423667519/1386016*c_1001_0^3 - 86190845/1386016*c_1001_0^2 - 28512613/1386016*c_1001_0 + 4759529/693008, c_0011_0 - 1, c_0011_3 + 1271308/216565*c_1001_0^12 - 7930192/216565*c_1001_0^11 + 2688603/216565*c_1001_0^10 + 28515713/216565*c_1001_0^9 - 17251069/216565*c_1001_0^8 - 39292046/216565*c_1001_0^7 + 26311064/216565*c_1001_0^6 + 25065442/216565*c_1001_0^5 - 16799216/216565*c_1001_0^4 - 8508896/216565*c_1001_0^3 + 4398446/216565*c_1001_0^2 + 1386623/216565*c_1001_0 - 313598/216565, c_0011_5 + 113356/216565*c_1001_0^12 - 533124/216565*c_1001_0^11 - 810409/216565*c_1001_0^10 + 2470776/216565*c_1001_0^9 + 3758707/216565*c_1001_0^8 - 5328897/216565*c_1001_0^7 - 7695277/216565*c_1001_0^6 + 6217049/216565*c_1001_0^5 + 7453668/216565*c_1001_0^4 - 4054157/216565*c_1001_0^3 - 3587798/216565*c_1001_0^2 + 1115106/216565*c_1001_0 + 949654/216565, c_0011_6 + 54812/216565*c_1001_0^12 - 52768/216565*c_1001_0^11 - 1636553/216565*c_1001_0^10 + 1588757/216565*c_1001_0^9 + 5460409/216565*c_1001_0^8 - 4412169/216565*c_1001_0^7 - 7412159/216565*c_1001_0^6 + 5060383/216565*c_1001_0^5 + 5151851/216565*c_1001_0^4 - 2735219/216565*c_1001_0^3 - 2312241/216565*c_1001_0^2 + 724682/216565*c_1001_0 + 483618/216565, c_0101_0 + 1054512/216565*c_1001_0^12 - 6907248/216565*c_1001_0^11 + 4095472/216565*c_1001_0^10 + 23922112/216565*c_1001_0^9 - 20896551/216565*c_1001_0^8 - 32080259/216565*c_1001_0^7 + 30157401/216565*c_1001_0^6 + 20040398/216565*c_1001_0^5 - 18545779/216565*c_1001_0^4 - 7285854/216565*c_1001_0^3 + 5041074/216565*c_1001_0^2 + 1727982/216565*c_1001_0 - 384582/216565, c_0101_4 - 304072/216565*c_1001_0^12 + 2181588/216565*c_1001_0^11 - 2499562/216565*c_1001_0^10 - 5729557/216565*c_1001_0^9 + 10376511/216565*c_1001_0^8 + 3886734/216565*c_1001_0^7 - 14280221/216565*c_1001_0^6 + 1859277/216565*c_1001_0^5 + 8560104/216565*c_1001_0^4 - 2540456/216565*c_1001_0^3 - 2539294/216565*c_1001_0^2 + 653698/216565*c_1001_0 + 554662/216565, c_1001_0^13 - 6*c_1001_0^12 + 1/4*c_1001_0^11 + 101/4*c_1001_0^10 - 35/4*c_1001_0^9 - 169/4*c_1001_0^8 + 17*c_1001_0^7 + 71/2*c_1001_0^6 - 55/4*c_1001_0^5 - 67/4*c_1001_0^4 + 19/4*c_1001_0^3 + 9/2*c_1001_0^2 - 1/2*c_1001_0 - 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB