Magma V2.19-8 Tue Aug 20 2013 16:16:56 on localhost [Seed = 425231817] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1184 geometric_solution 5.05519432 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 -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 0.666035054096 0.858619138228 0 4 2 3 0132 2031 2031 1302 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.435960022978 0.727132177231 5 0 5 1 0132 0132 2310 1302 0 0 0 0 0 0 0 0 -1 0 0 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 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 1.985200191992 0.913394288918 3 3 1 0 1302 2031 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.530047529166 0.341170099042 1 6 0 6 1302 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.430893487308 1.761338242706 2 2 5 5 0132 3201 2031 1302 0 0 0 0 0 0 -1 1 1 0 -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 1 -1 -1 0 1 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 0.446163983046 0.338262964212 4 4 6 6 3201 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.394041890223 0.108096441458 ==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_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' : negation(d['c_0101_5']), 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), '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' : negation(d['c_0101_2']), 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : d['c_0011_4'], 'c_1010_0' : d['c_0101_5']})} 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_4, c_0101_0, c_0101_2, c_0101_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t + 540*c_0110_6^16 - 2312*c_0110_6^15 - 1521*c_0110_6^14 + 16145*c_0110_6^13 - 5083*c_0110_6^12 - 47518*c_0110_6^11 + 22852*c_0110_6^10 + 93243*c_0110_6^9 - 14749*c_0110_6^8 - 116698*c_0110_6^7 - 19568*c_0110_6^6 + 100894*c_0110_6^5 + 70977*c_0110_6^4 - 9447*c_0110_6^3 - 28746*c_0110_6^2 - 11930*c_0110_6 - 1651, c_0011_0 - 1, c_0011_3 + 15979*c_0110_6^16 - 72486*c_0110_6^15 - 25051*c_0110_6^14 + 476883*c_0110_6^13 - 271752*c_0110_6^12 - 1292698*c_0110_6^11 + 965296*c_0110_6^10 + 2407213*c_0110_6^9 - 924575*c_0110_6^8 - 3036743*c_0110_6^7 + 48006*c_0110_6^6 + 2740238*c_0110_6^5 + 1485672*c_0110_6^4 - 430905*c_0110_6^3 - 680017*c_0110_6^2 - 242028*c_0110_6 - 29710, c_0011_4 - 18167*c_0110_6^16 + 82395*c_0110_6^15 + 28544*c_0110_6^14 - 542087*c_0110_6^13 + 308410*c_0110_6^12 + 1469663*c_0110_6^11 - 1095503*c_0110_6^10 - 2737441*c_0110_6^9 + 1047143*c_0110_6^8 + 3453301*c_0110_6^7 - 49603*c_0110_6^6 - 3115127*c_0110_6^5 - 1693491*c_0110_6^4 + 487704*c_0110_6^3 + 774118*c_0110_6^2 + 276198*c_0110_6 + 33997, c_0101_0 - 610*c_0110_6^16 + 2817*c_0110_6^15 + 699*c_0110_6^14 - 18122*c_0110_6^13 + 11810*c_0110_6^12 + 47601*c_0110_6^11 - 39789*c_0110_6^10 - 87039*c_0110_6^9 + 39763*c_0110_6^8 + 110235*c_0110_6^7 - 7739*c_0110_6^6 - 100747*c_0110_6^5 - 50585*c_0110_6^4 + 17233*c_0110_6^3 + 24119*c_0110_6^2 + 8273*c_0110_6 + 987, c_0101_2 + 24162*c_0110_6^16 - 109313*c_0110_6^15 - 39355*c_0110_6^14 + 721354*c_0110_6^13 - 402274*c_0110_6^12 - 1963889*c_0110_6^11 + 1440317*c_0110_6^10 + 3667087*c_0110_6^9 - 1366935*c_0110_6^8 - 4623995*c_0110_6^7 + 32300*c_0110_6^6 + 4163986*c_0110_6^5 + 2286998*c_0110_6^4 - 643920*c_0110_6^3 - 1039928*c_0110_6^2 - 372816*c_0110_6 - 46043, c_0101_5 + 20991*c_0110_6^16 - 95228*c_0110_6^15 - 32860*c_0110_6^14 + 626355*c_0110_6^13 - 357103*c_0110_6^12 - 1697454*c_0110_6^11 + 1267637*c_0110_6^10 + 3160836*c_0110_6^9 - 1213059*c_0110_6^8 - 3987558*c_0110_6^7 + 61313*c_0110_6^6 + 3597894*c_0110_6^5 + 1952845*c_0110_6^4 - 564507*c_0110_6^3 - 893381*c_0110_6^2 - 318425*c_0110_6 - 39158, c_0110_6^17 - 4*c_0110_6^16 - 4*c_0110_6^15 + 29*c_0110_6^14 - c_0110_6^13 - 90*c_0110_6^12 + 17*c_0110_6^11 + 183*c_0110_6^10 + 23*c_0110_6^9 - 221*c_0110_6^8 - 99*c_0110_6^7 + 173*c_0110_6^6 + 185*c_0110_6^5 + 23*c_0110_6^4 - 57*c_0110_6^3 - 38*c_0110_6^2 - 10*c_0110_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB