Magma V2.19-8 Tue Aug 20 2013 16:18:40 on localhost [Seed = 3330759626] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2840 geometric_solution 6.06254458 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 0132 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 0 1 -1 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 1.695416936800 1.186397310832 3 2 4 0 0132 1023 0132 0132 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 -0.100164964038 1.175798750922 1 3 0 5 1023 3201 0132 0132 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 0 1 -1 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 -0.100164964038 1.175798750922 1 6 2 6 0132 0132 2310 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 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 0.277481399659 0.668847302142 5 6 5 1 1230 1302 0132 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 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 0.224113625774 0.544799639795 6 4 2 4 2031 3012 0132 0132 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 -1 1 0 0 0 0 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 0.224113625774 0.544799639795 3 3 5 4 3201 0132 1302 2031 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 0 1 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.117371881121 0.791884335283 ==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_1100_0'], 'c_1100_4' : d['c_1100_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : d['c_1100_0'], 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], '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_4'], 'c_0011_6' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : negation(d['c_0101_4']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_5'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : negation(d['c_0101_4']), 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : negation(d['c_0011_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_1, c_0011_4, c_0011_5, c_0101_0, c_0101_4, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 758492719336230841/16007646148308093279*c_1100_0^13 - 611929106676126614/16007646148308093279*c_1100_0^12 + 2539139819101533632/16007646148308093279*c_1100_0^11 - 180112931981496929/410452465341233161*c_1100_0^10 - 11753359883041443476/16007646148308093279*c_1100_0^9 - 239872031900453786/1455240558937099389*c_1100_0^8 - 8157720285309441404/5335882049436031093*c_1100_0^7 - 41205498891391457228/16007646148308093279*c_1100_0^6 - 11679093959723086735/5335882049436031093*c_1100_0^5 - 7495544256422781235/16007646148308093279*c_1100_0^4 - 54110782533312325741/16007646148308093279*c_1100_0^3 - 833532354793758253/1455240558937099389*c_1100_0^2 + 111685685975319200197/16007646148308093279*c_1100_0 + 17335368886166966851/16007646148308093279, c_0011_0 - 1, c_0011_1 - 6299944078841/2284522070544897*c_1100_0^13 + 24377030921434/2284522070544897*c_1100_0^12 + 407135905555/761507356848299*c_1100_0^11 - 52508269816160/761507356848299*c_1100_0^10 + 275727409307444/2284522070544897*c_1100_0^9 - 56073749966905/2284522070544897*c_1100_0^8 - 242912997061274/2284522070544897*c_1100_0^7 + 100146633251485/2284522070544897*c_1100_0^6 - 152797677907252/2284522070544897*c_1100_0^5 - 226945722202780/2284522070544897*c_1100_0^4 - 1580545371704530/2284522070544897*c_1100_0^3 + 298246476679195/761507356848299*c_1100_0^2 - 2681405728993141/2284522070544897*c_1100_0 - 529327334128640/761507356848299, c_0011_4 - 1329138322840/761507356848299*c_1100_0^13 + 3178423951975/761507356848299*c_1100_0^12 + 4330202645066/761507356848299*c_1100_0^11 - 17251964470855/761507356848299*c_1100_0^10 + 25109788350312/761507356848299*c_1100_0^9 - 4910717853604/761507356848299*c_1100_0^8 + 79667241005422/761507356848299*c_1100_0^7 + 71046049923526/761507356848299*c_1100_0^6 + 67898869054527/761507356848299*c_1100_0^5 + 358597271596537/761507356848299*c_1100_0^4 + 263761616108906/761507356848299*c_1100_0^3 + 425929012259717/761507356848299*c_1100_0^2 + 207611795050615/761507356848299*c_1100_0 + 552212296168640/761507356848299, c_0011_5 - 1329138322840/761507356848299*c_1100_0^13 + 3178423951975/761507356848299*c_1100_0^12 + 4330202645066/761507356848299*c_1100_0^11 - 17251964470855/761507356848299*c_1100_0^10 + 25109788350312/761507356848299*c_1100_0^9 - 4910717853604/761507356848299*c_1100_0^8 + 79667241005422/761507356848299*c_1100_0^7 + 71046049923526/761507356848299*c_1100_0^6 + 67898869054527/761507356848299*c_1100_0^5 + 358597271596537/761507356848299*c_1100_0^4 + 263761616108906/761507356848299*c_1100_0^3 + 425929012259717/761507356848299*c_1100_0^2 + 207611795050615/761507356848299*c_1100_0 + 552212296168640/761507356848299, c_0101_0 - 54486615/4663841381*c_1100_0^13 + 16624209/4663841381*c_1100_0^12 + 179314149/4663841381*c_1100_0^11 - 675879048/4663841381*c_1100_0^10 - 142200707/4663841381*c_1100_0^9 + 50113037/4663841381*c_1100_0^8 - 1515493475/4663841381*c_1100_0^7 - 1036337601/4663841381*c_1100_0^6 - 441266707/4663841381*c_1100_0^5 - 152788169/4663841381*c_1100_0^4 - 3943601846/4663841381*c_1100_0^3 + 4614618918/4663841381*c_1100_0^2 + 2664852997/4663841381*c_1100_0 - 2571754301/4663841381, c_0101_4 - 6637997635415/2284522070544897*c_1100_0^13 - 15825867555278/2284522070544897*c_1100_0^12 + 12252806200112/761507356848299*c_1100_0^11 - 18609715002199/761507356848299*c_1100_0^10 - 290599264451320/2284522070544897*c_1100_0^9 + 156145136885699/2284522070544897*c_1100_0^8 - 375687064977563/2284522070544897*c_1100_0^7 - 928275736110602/2284522070544897*c_1100_0^6 - 620317112191324/2284522070544897*c_1100_0^5 - 658792169835292/2284522070544897*c_1100_0^4 - 1245405395271757/2284522070544897*c_1100_0^3 - 740629507128214/761507356848299*c_1100_0^2 + 1923504531556025/2284522070544897*c_1100_0 - 362710288453898/761507356848299, c_1100_0^14 + c_1100_0^13 - 3*c_1100_0^12 + 9*c_1100_0^11 + 17*c_1100_0^10 + 8*c_1100_0^9 + 37*c_1100_0^8 + 64*c_1100_0^7 + 71*c_1100_0^6 + 38*c_1100_0^5 + 92*c_1100_0^4 + 39*c_1100_0^3 - 136*c_1100_0^2 - 54*c_1100_0 - 63 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB