Magma V2.19-8 Tue Aug 20 2013 16:16:47 on localhost [Seed = 3667609107] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1065 geometric_solution 4.93656078 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3201 0132 0132 0 0 0 0 0 0 -2 2 0 0 0 0 0 0 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 -0.004930339141 0.705084171507 0 1 0 1 0132 2310 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.839142081548 0.845030342879 4 3 5 0 0132 3012 0132 0132 0 0 0 0 0 -1 -1 2 1 0 -1 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 1 -1 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 1.480459097118 1.125526869844 2 4 0 5 1230 2310 0132 2310 0 0 0 0 0 1 -2 1 -1 0 0 1 -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 -1 1 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 1.480459097118 1.125526869844 2 4 4 3 0132 1230 3012 3201 0 0 0 0 0 -1 0 1 -1 0 1 0 0 1 0 -1 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 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.915800119022 0.634802794070 3 6 6 2 3201 0132 3201 0132 0 0 0 0 0 -1 0 1 -1 0 0 1 -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 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 0.024462531686 0.404495985153 5 5 6 6 2310 0132 1230 3012 0 0 0 0 0 1 -1 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 -1 1 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 2.314745124228 0.936760828669 ==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' : d['c_0011_2'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0011_5'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_2']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_5']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : d['c_0011_2'], 'c_1001_6' : negation(d['c_0011_2']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0011_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0011_2'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0011_2']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(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_2, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 517299318152/66529500225*c_0101_6^11 + 73308056076/22176500075*c_0101_6^10 + 3949346596706/66529500225*c_0101_6^9 - 149112064587/4435300015*c_0101_6^8 - 3739293040212/22176500075*c_0101_6^7 + 1270660651807/22176500075*c_0101_6^6 + 3748836946882/66529500225*c_0101_6^5 - 10562538852836/66529500225*c_0101_6^4 + 4705194185152/22176500075*c_0101_6^3 + 20020589377871/66529500225*c_0101_6^2 - 86897539271/887060003*c_0101_6 - 8002967199356/66529500225, c_0011_0 - 1, c_0011_2 - 442670392/887060003*c_0101_6^11 + 94863132/887060003*c_0101_6^10 + 2524637190/887060003*c_0101_6^9 - 710686423/887060003*c_0101_6^8 - 5091209302/887060003*c_0101_6^7 - 1841759430/887060003*c_0101_6^6 - 5223763425/887060003*c_0101_6^5 - 9002361461/887060003*c_0101_6^4 - 548395311/887060003*c_0101_6^3 + 5335441759/887060003*c_0101_6^2 + 1349066211/887060003*c_0101_6 - 529764234/887060003, c_0011_5 - 850795776/887060003*c_0101_6^11 + 31191920/887060003*c_0101_6^10 + 5655877560/887060003*c_0101_6^9 - 1522858244/887060003*c_0101_6^8 - 13542001174/887060003*c_0101_6^7 + 64593654/887060003*c_0101_6^6 - 6487474382/887060003*c_0101_6^5 - 21762254685/887060003*c_0101_6^4 + 6485343222/887060003*c_0101_6^3 + 13155424482/887060003*c_0101_6^2 - 2410741973/887060003*c_0101_6 - 872987471/887060003, c_0101_0 + 145350536/887060003*c_0101_6^11 + 284253948/887060003*c_0101_6^10 - 1272565838/887060003*c_0101_6^9 - 1368986195/887060003*c_0101_6^8 + 4462362817/887060003*c_0101_6^7 + 2570095442/887060003*c_0101_6^6 - 1392941888/887060003*c_0101_6^5 + 7800647604/887060003*c_0101_6^4 + 1736890686/887060003*c_0101_6^3 - 6877981350/887060003*c_0101_6^2 + 120944479/887060003*c_0101_6 + 1217859854/887060003, c_0101_1 - 579100632/887060003*c_0101_6^11 - 12558804/887060003*c_0101_6^10 + 3884933118/887060003*c_0101_6^9 - 845575047/887060003*c_0101_6^8 - 9378020106/887060003*c_0101_6^7 - 322021097/887060003*c_0101_6^6 - 4603310452/887060003*c_0101_6^5 - 14776172122/887060003*c_0101_6^4 + 4850964763/887060003*c_0101_6^3 + 9174187270/887060003*c_0101_6^2 - 434323791/887060003*c_0101_6 - 229312648/887060003, c_0101_2 - 1632565644/887060003*c_0101_6^11 - 555501544/887060003*c_0101_6^10 + 11510408109/887060003*c_0101_6^9 + 180535633/887060003*c_0101_6^8 - 29856151466/887060003*c_0101_6^7 - 4079691993/887060003*c_0101_6^6 - 10340214281/887060003*c_0101_6^5 - 50981230539/887060003*c_0101_6^4 + 7272599565/887060003*c_0101_6^3 + 31820990319/887060003*c_0101_6^2 - 1201992902/887060003*c_0101_6 - 2551648445/887060003, c_0101_6^12 + c_0101_6^11 - 27/4*c_0101_6^10 - 5*c_0101_6^9 + 18*c_0101_6^8 + 63/4*c_0101_6^7 + 31/4*c_0101_6^6 + 137/4*c_0101_6^5 + 17*c_0101_6^4 - 97/4*c_0101_6^3 - 55/4*c_0101_6^2 + 3*c_0101_6 + 5/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB