Magma V2.19-8 Tue Aug 20 2013 16:16:37 on localhost [Seed = 4021187382] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0919 geometric_solution 4.81216620 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 2310 1023 3201 0 0 0 0 0 -1 0 1 0 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.798222133778 0.093401107563 0 2 0 2 0132 0132 1023 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.729417622019 0.212826458683 3 1 4 1 0132 0132 0132 1023 0 0 0 0 0 0 0 0 -1 0 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 1 0 -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 0.904567792218 0.918238509767 2 5 4 4 0132 0132 0213 2310 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.350479588834 0.698061808408 3 3 5 2 3201 0213 1023 0132 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 -1 0 0 1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.350479588834 0.698061808408 6 3 4 6 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.199226752694 0.781122920030 5 6 6 5 0132 1230 3012 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.699208182214 0.272702915369 ==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_0011_0']), 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_2']), 'c_0101_3' : d['c_0011_4'], '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_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_0']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_4'], 'c_1010_0' : negation(d['c_0101_1'])})} 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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 23 Groebner basis: [ t + 56633/135*c_0101_6^22 + 152791/135*c_0101_6^21 - 211037/45*c_0101_6^20 - 74468/5*c_0101_6^19 + 747571/45*c_0101_6^18 + 9860963/135*c_0101_6^17 - 1409651/135*c_0101_6^16 - 7243492/45*c_0101_6^15 - 8197817/135*c_0101_6^14 + 5262533/45*c_0101_6^13 + 5758996/45*c_0101_6^12 + 18620233/135*c_0101_6^11 - 1670201/27*c_0101_6^10 - 40578023/135*c_0101_6^9 - 189299/9*c_0101_6^8 + 22793662/135*c_0101_6^7 - 2049077/135*c_0101_6^6 - 656042/45*c_0101_6^5 + 4595158/135*c_0101_6^4 - 185125/27*c_0101_6^3 - 595399/135*c_0101_6^2 + 181774/135*c_0101_6 - 14629/135, c_0011_0 - 1, c_0011_4 + 2*c_0101_6^22 + 5*c_0101_6^21 - 23*c_0101_6^20 - 66*c_0101_6^19 + 88*c_0101_6^18 + 325*c_0101_6^17 - 95*c_0101_6^16 - 722*c_0101_6^15 - 183*c_0101_6^14 + 544*c_0101_6^13 + 517*c_0101_6^12 + 571*c_0101_6^11 - 358*c_0101_6^10 - 1300*c_0101_6^9 + 79*c_0101_6^8 + 736*c_0101_6^7 - 173*c_0101_6^6 - 55*c_0101_6^5 + 161*c_0101_6^4 - 44*c_0101_6^3 - 12*c_0101_6^2 + 11*c_0101_6 - 1, c_0101_0 + 7*c_0101_6^22 + 15*c_0101_6^21 - 86*c_0101_6^20 - 203*c_0101_6^19 + 378*c_0101_6^18 + 1036*c_0101_6^17 - 655*c_0101_6^16 - 2443*c_0101_6^15 - 17*c_0101_6^14 + 2189*c_0101_6^13 + 1570*c_0101_6^12 + 1361*c_0101_6^11 - 2083*c_0101_6^10 - 4280*c_0101_6^9 + 1311*c_0101_6^8 + 2794*c_0101_6^7 - 815*c_0101_6^6 - 265*c_0101_6^5 + 475*c_0101_6^4 - 227*c_0101_6^3 - 80*c_0101_6^2 + 34*c_0101_6 - 1, c_0101_1 + 254*c_0101_6^22 + 646*c_0101_6^21 - 2953*c_0101_6^20 - 8596*c_0101_6^19 + 11543*c_0101_6^18 + 42903*c_0101_6^17 - 13532*c_0101_6^16 - 97644*c_0101_6^15 - 21183*c_0101_6^14 + 79111*c_0101_6^13 + 67011*c_0101_6^12 + 69547*c_0101_6^11 - 52398*c_0101_6^10 - 178359*c_0101_6^9 + 17186*c_0101_6^8 + 108938*c_0101_6^7 - 25448*c_0101_6^6 - 9773*c_0101_6^5 + 22335*c_0101_6^4 - 7381*c_0101_6^3 - 2431*c_0101_6^2 + 1336*c_0101_6 - 144, c_0101_2 + c_0101_6^3 - 2*c_0101_6, c_0101_5 - c_0101_6^2 + 1, c_0101_6^23 + 4*c_0101_6^22 - 8*c_0101_6^21 - 51*c_0101_6^20 - 3*c_0101_6^19 + 238*c_0101_6^18 + 190*c_0101_6^17 - 476*c_0101_6^16 - 643*c_0101_6^15 + 220*c_0101_6^14 + 732*c_0101_6^13 + 638*c_0101_6^12 + 167*c_0101_6^11 - 1031*c_0101_6^10 - 947*c_0101_6^9 + 584*c_0101_6^8 + 534*c_0101_6^7 - 215*c_0101_6^6 + 32*c_0101_6^5 + 102*c_0101_6^4 - 58*c_0101_6^3 - 8*c_0101_6^2 + 8*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB