Magma V2.19-8 Tue Aug 20 2013 16:17:08 on localhost [Seed = 3532869126] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1373 geometric_solution 5.23115387 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 2310 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 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 -0.327553225307 0.629647042512 0 0 4 3 0132 3201 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 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 0 0 0 0 0 0 0.650234227918 1.249928338106 0 0 4 3 3201 0132 2310 2310 0 0 0 0 0 -1 0 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 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 0.650234227918 1.249928338106 2 5 1 5 3201 0132 0132 1023 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 -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 0.787291331314 0.536985522027 6 2 6 1 0132 3201 1023 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 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 0.787291331314 0.536985522027 5 3 5 3 2031 0132 1302 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.574506441222 0.150672465943 4 6 4 6 0132 1302 1023 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.574506441222 0.150672465943 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_3'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], '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' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : negation(d['c_0011_3']), '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' : d['c_0110_5'], 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0110_3']), 'c_1001_3' : d['c_0110_3'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0110_3'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : negation(d['c_0110_3']), 'c_1010_1' : d['c_0110_3'], 'c_1010_0' : d['c_0101_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_0101_0, c_0101_1, c_0101_4, c_0110_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 2906928/2509*c_0110_5^9 + 3125532/2509*c_0110_5^7 + 9645806/2509*c_0110_5^5 + 19922843/10036*c_0110_5^3 - 893283/5018*c_0110_5, c_0011_0 - 1, c_0011_3 + 24320/2509*c_0110_5^8 - 28864/2509*c_0110_5^6 - 76344/2509*c_0110_5^4 - 34252/2509*c_0110_5^2 + 6179/2509, c_0101_0 - 33856/2509*c_0110_5^9 + 41872/2509*c_0110_5^7 + 105064/2509*c_0110_5^5 + 42189/2509*c_0110_5^3 - 12570/2509*c_0110_5, c_0101_1 + 35648/2509*c_0110_5^8 - 38928/2509*c_0110_5^6 - 119352/2509*c_0110_5^4 - 56175/2509*c_0110_5^2 + 9275/2509, c_0101_4 - c_0110_5, c_0110_3 - 35648/2509*c_0110_5^8 + 38928/2509*c_0110_5^6 + 119352/2509*c_0110_5^4 + 56175/2509*c_0110_5^2 - 9275/2509, c_0110_5^10 - 5/4*c_0110_5^8 - 25/8*c_0110_5^6 - 73/64*c_0110_5^4 + 7/16*c_0110_5^2 - 1/32 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_4, c_0110_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 1012924416/60797*c_0110_5^11 + 1285029888/60797*c_0110_5^9 + 717750272/60797*c_0110_5^7 + 441372672/60797*c_0110_5^5 + 148547072/60797*c_0110_5^3 + 23516160/60797*c_0110_5, c_0011_0 - 1, c_0011_3 + 348160/5527*c_0110_5^10 - 459264/5527*c_0110_5^8 - 227296/5527*c_0110_5^6 - 137152/5527*c_0110_5^4 - 41160/5527*c_0110_5^2 - 4650/5527, c_0101_0 + 586752/5527*c_0110_5^11 - 832256/5527*c_0110_5^9 - 259776/5527*c_0110_5^7 - 260272/5527*c_0110_5^5 - 67416/5527*c_0110_5^3 - 10275/5527*c_0110_5, c_0101_1 - 549888/5527*c_0110_5^10 + 750336/5527*c_0110_5^8 + 331424/5527*c_0110_5^6 + 184888/5527*c_0110_5^4 + 57856/5527*c_0110_5^2 + 5231/5527, c_0101_4 - 2775040/5527*c_0110_5^11 + 3494144/5527*c_0110_5^9 + 2024960/5527*c_0110_5^7 + 1186816/5527*c_0110_5^5 + 412600/5527*c_0110_5^3 + 69575/5527*c_0110_5, c_0110_3 - 151040/5527*c_0110_5^10 + 178432/5527*c_0110_5^8 + 136320/5527*c_0110_5^6 + 49096/5527*c_0110_5^4 + 31186/5527*c_0110_5^2 + 9399/11054, c_0110_5^12 - 5/4*c_0110_5^10 - 3/4*c_0110_5^8 - 27/64*c_0110_5^6 - 19/128*c_0110_5^4 - 23/1024*c_0110_5^2 + 1/4096 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB