Magma V2.19-8 Tue Aug 20 2013 16:18:21 on localhost [Seed = 2067457622] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2568 geometric_solution 5.87017357 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 1023 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 -1 0 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 0.447319320404 1.330133537464 0 4 5 0 0132 0132 0132 1023 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 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 -0.527187087742 0.783712149927 4 0 6 3 0132 0132 0132 3201 0 0 0 0 0 -1 1 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 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 0.220928815547 0.555637363843 6 2 5 0 1023 2310 1023 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.220928815547 0.555637363843 2 1 5 5 0132 0132 2103 3201 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.139397153669 1.253988583437 4 4 3 1 2103 2310 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 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 -0.139397153669 1.253988583437 6 3 6 2 2310 1023 3201 0132 0 0 0 0 0 0 1 -1 -1 0 1 0 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 1 0 -1 0 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.617909378516 1.554045982287 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(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' : negation(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' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : negation(d['c_1100_0']), 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_1100_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_5'], '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_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_0101_2'], 'c_1001_4' : d['c_0011_5'], 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0101_4']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_5'], '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_0101_2'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : negation(d['c_0101_4']), 'c_1010_1' : d['c_0011_5'], '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_0011_5, c_0101_0, c_0101_2, c_0101_4, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 70937041763/2932461483520*c_0101_4^15 - 25664588297/256234498560*c_0101_4^13 - 1028870494801/2932461483520*c_0101_4^11 - 179516224179/146623074176*c_0101_4^9 - 15747511479971/26392153351680*c_0101_4^7 + 100637246698759/26392153351680*c_0101_4^5 + 2710069997439/2932461483520*c_0101_4^3 + 5721306388603/5278430670336*c_0101_4, c_0011_0 - 1, c_0011_3 - 50984488/1145492767*c_0101_4^15 - 8847128/500458005*c_0101_4^13 - 3010848228/5727463835*c_0101_4^11 - 1513295197/5727463835*c_0101_4^9 + 11959440347/10309434903*c_0101_4^7 + 135634662808/51547174515*c_0101_4^5 - 3531651708/5727463835*c_0101_4^3 - 59291558638/51547174515*c_0101_4, c_0011_5 - 3153388613/22909855340*c_0101_4^15 + 591536617/2001832020*c_0101_4^13 - 42784916507/22909855340*c_0101_4^11 + 18848778954/5727463835*c_0101_4^9 + 397041702139/206188698060*c_0101_4^7 - 148747469575/41237739612*c_0101_4^5 - 33329511127/22909855340*c_0101_4^3 + 195211560629/206188698060*c_0101_4, c_0101_0 - 51638933/5727463835*c_0101_4^14 + 44426143/500458005*c_0101_4^12 - 770662736/5727463835*c_0101_4^10 + 1194041746/1145492767*c_0101_4^8 + 13904956444/51547174515*c_0101_4^6 - 121446077471/51547174515*c_0101_4^4 - 2146453941/5727463835*c_0101_4^2 + 1457763307/10309434903, c_0101_2 - 306561373/5727463835*c_0101_4^14 + 7115803/100091601*c_0101_4^12 - 3781510964/5727463835*c_0101_4^10 + 4456913533/5727463835*c_0101_4^8 + 73702158179/51547174515*c_0101_4^6 + 14188585337/51547174515*c_0101_4^4 - 5678105649/5727463835*c_0101_4^2 - 52002742103/51547174515, c_0101_4^16 - 11/9*c_0101_4^14 + 115/9*c_0101_4^12 - 12*c_0101_4^10 - 191/9*c_0101_4^8 + 83/9*c_0101_4^6 + 67/9*c_0101_4^4 - 13/9*c_0101_4^2 + 32/9, c_1100_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB