Magma V2.19-8 Tue Aug 20 2013 16:18:23 on localhost [Seed = 1629551695] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2583 geometric_solution 5.87951928 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 0 2 0 0132 1302 0132 2031 0 0 0 0 0 -1 -1 2 0 0 -1 1 1 -2 0 1 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 -1 1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.678408202379 1.782816458756 0 2 4 3 0132 3201 0132 0132 0 0 0 0 0 0 1 -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 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 0.571869822525 0.588127605283 3 5 1 0 3201 0132 2310 0132 0 0 0 0 0 -1 0 1 -1 0 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 -1 0 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 0.571869822525 0.588127605283 6 6 1 2 0132 2310 0132 2310 0 0 0 0 0 0 1 -1 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 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 0.739139870875 0.459941444508 5 6 5 1 2031 1230 1302 0132 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 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 0.713745447002 0.346857840358 4 2 4 6 2031 0132 1302 0321 0 0 0 0 0 1 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.713745447002 0.346857840358 3 5 4 3 0132 0321 3012 3201 0 0 0 0 0 1 -1 0 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 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 0.932995697756 1.645032494560 ==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' : negation(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' : 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' : d['c_0011_2'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : d['c_0011_2'], 'c_0101_4' : d['c_0011_2'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : d['c_0011_3'], 'c_1001_6' : d['c_0011_2'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_1001_2']), 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0101_0'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_1001_2']), 'c_1010_0' : d['c_0011_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_3, c_0101_0, c_0101_1, c_0101_2, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 61/29*c_1001_2^5 - 3090/29*c_1001_2^4 + 2502/29*c_1001_2^3 + 17460/203*c_1001_2^2 - 14607/203*c_1001_2 + 8992/203, c_0011_0 - 1, c_0011_2 + 168/29*c_1001_2^5 - 119/29*c_1001_2^4 - 245/29*c_1001_2^3 + 129/29*c_1001_2^2 + 44/29*c_1001_2 - 16/29, c_0011_3 + 21/29*c_1001_2^5 - 91/29*c_1001_2^4 - 56/29*c_1001_2^3 + 143/29*c_1001_2^2 + 20/29*c_1001_2 - 31/29, c_0101_0 + 147/29*c_1001_2^5 - 28/29*c_1001_2^4 - 189/29*c_1001_2^3 - 14/29*c_1001_2^2 + 24/29*c_1001_2 + 15/29, c_0101_1 - 35/29*c_1001_2^5 + 84/29*c_1001_2^4 - 42/29*c_1001_2^3 - 103/29*c_1001_2^2 + 73/29*c_1001_2 + 13/29, c_0101_2 + c_1001_2, c_1001_2^6 - c_1001_2^5 - c_1001_2^4 + 8/7*c_1001_2^3 - 2/7*c_1001_2^2 - 1/7*c_1001_2 + 1/7 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 16313300313/37420094*c_1001_2^11 + 22831191345/18710047*c_1001_2^10 + 204484498735/37420094*c_1001_2^9 - 13623840627/1100591*c_1001_2^8 - 1327760742515/37420094*c_1001_2^7 + 175446425821/37420094*c_1001_2^6 + 1194850760919/37420094*c_1001_2^5 - 116772866790/18710047*c_1001_2^4 - 393352972948/18710047*c_1001_2^3 + 38390772603/37420094*c_1001_2^2 + 252784627967/37420094*c_1001_2 + 28660749246/18710047, c_0011_0 - 1, c_0011_2 + 33852771/18710047*c_1001_2^11 - 117311996/18710047*c_1001_2^10 - 350066190/18710047*c_1001_2^9 + 71047872/1100591*c_1001_2^8 + 1991820143/18710047*c_1001_2^7 - 1830413104/18710047*c_1001_2^6 - 1498095485/18710047*c_1001_2^5 + 1700042271/18710047*c_1001_2^4 + 708612434/18710047*c_1001_2^3 - 742287665/18710047*c_1001_2^2 - 137624042/18710047*c_1001_2 + 59514551/18710047, c_0011_3 - 37343346/18710047*c_1001_2^11 + 132329257/18710047*c_1001_2^10 + 376760009/18710047*c_1001_2^9 - 80232055/1100591*c_1001_2^8 - 2103632348/18710047*c_1001_2^7 + 2202637558/18710047*c_1001_2^6 + 1572075093/18710047*c_1001_2^5 - 1956955503/18710047*c_1001_2^4 - 699772514/18710047*c_1001_2^3 + 859599099/18710047*c_1001_2^2 + 139005917/18710047*c_1001_2 - 74200169/18710047, c_0101_0 - 37343346/18710047*c_1001_2^11 + 132329257/18710047*c_1001_2^10 + 376760009/18710047*c_1001_2^9 - 80232055/1100591*c_1001_2^8 - 2103632348/18710047*c_1001_2^7 + 2202637558/18710047*c_1001_2^6 + 1572075093/18710047*c_1001_2^5 - 1956955503/18710047*c_1001_2^4 - 699772514/18710047*c_1001_2^3 + 859599099/18710047*c_1001_2^2 + 139005917/18710047*c_1001_2 - 74200169/18710047, c_0101_1 - 22171205/18710047*c_1001_2^11 + 80067167/18710047*c_1001_2^10 + 220102607/18710047*c_1001_2^9 - 48886608/1100591*c_1001_2^8 - 1211659704/18710047*c_1001_2^7 + 1455590013/18710047*c_1001_2^6 + 942074026/18710047*c_1001_2^5 - 1326576512/18710047*c_1001_2^4 - 397369112/18710047*c_1001_2^3 + 622702498/18710047*c_1001_2^2 + 70939234/18710047*c_1001_2 - 63423873/18710047, c_0101_2 + c_1001_2, c_1001_2^12 - 3*c_1001_2^11 - 12*c_1001_2^10 + 31*c_1001_2^9 + 76*c_1001_2^8 - 28*c_1001_2^7 - 73*c_1001_2^6 + 30*c_1001_2^5 + 47*c_1001_2^4 - 13*c_1001_2^3 - 16*c_1001_2^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB