Oh yes, refreshing the page in my browser revealed that the computation was 
in fact over. I don't get the same minimal polynomial:

Number Field in a with defining polynomial y^64 - 16*y^63 + 120*y^62 - 552*y^61 
+ 1060*y^60 + 9192*y^59 - 109548*y^58 + 594136*y^57 - 1818336*y^56 + 
1418016*y^55 + 17673332*y^54 - 118587056*y^53 + 470648336*y^52 - 
1466225760*y^51 + 4041293112*y^50 - 10610876480*y^49 + 27087940812*y^48 - 
65406212984*y^47 + 144719141732*y^46 - 293875084856*y^45 + 568846616992*y^44 - 
1093415814816*y^43 + 2077028607188*y^42 - 3703364771152*y^41 + 
5943470910414*y^40 - 8810321795704*y^39 + 13297278320880*y^38 - 
21250216400776*y^37 + 31508317639448*y^36 - 35129287965376*y^35 + 
22258311270372*y^34 - 4956357358344*y^33 + 16892761084695*y^32 - 
41971734521240*y^31 - 36955896880236*y^30 + 282515272090864*y^29 - 
428413887134968*y^28 + 37658428917384*y^27 + 621508846668836*y^26 - 
362136702797984*y^25 - 979328480398782*y^24 + 1089208633047600*y^23 + 
1797659881312632*y^22 - 4188798467231728*y^21 + 272718059124196*y^20 + 
6880933181869584*y^19 - 5641742863458580*y^18 - 4719257293828656*y^17 + 
8808609281739358*y^16 + 101639394258192*y^15 - 7688715324493932*y^14 + 
2668509457578568*y^13 + 5078767679899896*y^12 - 3480938485790712*y^11 - 
2392443373481992*y^10 + 2949043162267376*y^9 + 281074709709862*y^8 - 
1475823817489600*y^7 + 396246975326308*y^6 + 342241978246184*y^5 - 
198777407426324*y^4 - 11084962856680*y^3 + 25996525342036*y^2 - 4089325780544*y 
+ 1448510013289


>>

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