Magma V2.19-8 Tue Aug 20 2013 16:14:19 on localhost [Seed = 795783947] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s301 geometric_solution 4.46592149 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 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 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 0.347244224114 0.188145249073 2 0 3 0 0132 2310 0132 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 1 -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 0.426505686519 1.018090444639 1 3 4 3 0132 3201 0132 2310 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 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 -0.213207230665 1.425720685274 2 4 2 1 3201 1023 2310 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 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 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.213207230665 1.425720685274 3 5 5 2 1023 0132 1023 0132 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 -1 0 0 1 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.385124508032 0.252693512195 5 4 4 5 3012 0132 1023 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 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 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.560391114742 1.062622123814 ==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' : 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' : negation(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_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_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' : d['c_0101_1'], 'c_1001_4' : d['c_0101_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0101_1'], '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_3']), 'c_0110_4' : d['c_0101_0'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_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_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 404239263508/67312071133*c_0101_5^14 + 500372686791/67312071133*c_0101_5^13 - 146712664667/67312071133*c_0101_5^12 + 1031169799452/67312071133*c_0101_5^11 + 5240884907762/67312071133*c_0101_5^10 - 3880968695034/67312071133*c_0101_5^9 + 21045790094341/67312071133*c_0101_5^8 + 40418205307297/67312071133*c_0101_5^7 - 52583727756984/67312071133*c_0101_5^6 - 92552512864182/67312071133*c_0101_5^5 + 17042508744666/67312071133*c_0101_5^4 + 68355495954193/67312071133*c_0101_5^3 + 14818210192909/67312071133*c_0101_5^2 - 13768536164149/67312071133*c_0101_5 - 5002517605680/67312071133, c_0011_0 - 1, c_0011_1 - 10078886198/67312071133*c_0101_5^14 + 29077998782/67312071133*c_0101_5^13 - 38047645780/67312071133*c_0101_5^12 + 63048461826/67312071133*c_0101_5^11 + 57859187407/67312071133*c_0101_5^10 - 252178907714/67312071133*c_0101_5^9 + 811246119229/67312071133*c_0101_5^8 - 144038545404/67312071133*c_0101_5^7 - 2036303495722/67312071133*c_0101_5^6 + 291077469497/67312071133*c_0101_5^5 + 1540816744010/67312071133*c_0101_5^4 - 142017782468/67312071133*c_0101_5^3 - 516599031078/67312071133*c_0101_5^2 + 155076321956/67312071133*c_0101_5 + 25823725164/67312071133, c_0011_3 - 3802571191/67312071133*c_0101_5^14 + 5620913242/67312071133*c_0101_5^13 + 682820700/67312071133*c_0101_5^12 + 4141677441/67312071133*c_0101_5^11 + 60466982747/67312071133*c_0101_5^10 - 76192498539/67312071133*c_0101_5^9 + 200052662856/67312071133*c_0101_5^8 + 326842003170/67312071133*c_0101_5^7 - 836757887634/67312071133*c_0101_5^6 - 885764614110/67312071133*c_0101_5^5 + 255039335752/67312071133*c_0101_5^4 + 622099775695/67312071133*c_0101_5^3 + 116387256566/67312071133*c_0101_5^2 - 98500509078/67312071133*c_0101_5 + 9500647999/67312071133, c_0101_0 + 25507695813/67312071133*c_0101_5^14 - 85010291760/67312071133*c_0101_5^13 + 131995302462/67312071133*c_0101_5^12 - 216143723021/67312071133*c_0101_5^11 - 47852543214/67312071133*c_0101_5^10 + 659320291227/67312071133*c_0101_5^9 - 2300762466223/67312071133*c_0101_5^8 + 1343356112633/67312071133*c_0101_5^7 + 4698766320861/67312071133*c_0101_5^6 - 2615482712751/67312071133*c_0101_5^5 - 3143290349366/67312071133*c_0101_5^4 + 1221750431518/67312071133*c_0101_5^3 + 597989546444/67312071133*c_0101_5^2 - 267593862384/67312071133*c_0101_5 + 82708420542/67312071133, c_0101_1 - 3646779471/67312071133*c_0101_5^14 + 25889743137/67312071133*c_0101_5^13 - 45266340077/67312071133*c_0101_5^12 + 67318931026/67312071133*c_0101_5^11 - 62501948207/67312071133*c_0101_5^10 - 217175830786/67312071133*c_0101_5^9 + 511459221467/67312071133*c_0101_5^8 - 1223768159226/67312071133*c_0101_5^7 - 1326695756909/67312071133*c_0101_5^6 + 1793341333757/67312071133*c_0101_5^5 + 839855058716/67312071133*c_0101_5^4 - 677911702658/67312071133*c_0101_5^3 - 46315671031/67312071133*c_0101_5^2 + 169533049336/67312071133*c_0101_5 - 47554860596/67312071133, c_0101_5^15 - 2*c_0101_5^14 + 2*c_0101_5^13 - 4*c_0101_5^12 - 10*c_0101_5^11 + 17*c_0101_5^10 - 67*c_0101_5^9 - 51*c_0101_5^8 + 163*c_0101_5^7 + 81*c_0101_5^6 - 119*c_0101_5^5 - 48*c_0101_5^4 + 36*c_0101_5^3 + 6*c_0101_5^2 - 5*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB