Unless I'm mistaken, the polynomials are at the end.
I guess that the heuristics used by Singular for sparse multivariate 
factorization did not succeed for this polynomial (this pair is slightly 
more complicated than the previous pairs), and reverted to dense 
factorization (probably Hensel lift algorithm), which requires much more 
ressources (I have checked with giac and aborted after half an hour and 
more than 8G of RAM required).

P:=37324800000000*a^25*b^9*c^25*d^21*E^21 + 
186624000000000*a^20*b^9*c^25*d^24*E^21 + 
37324800000000*a^20*b^4*c^25*d^22*E^21 + 
12441600000000*a^20*b^4*c^28*d^21*E^18 + 
373248000000*a^16*b^4*c^25*d^21*E^20 + 
1866240000000*a^16*b^4*c^26*d^21*E^18 + 
186624000000*a^13*b^6*c^25*d^21*E^17 + 12441600000*a^13*b^5*c^25*d^21*E^12 
+ 3110400000*a^13*b^7*c^23*d^16*E^12 + 12441600000*a^13*b^4*c^25*d^16*E^13 
+ 3110400000*a^16*b^4*c^20*d^16*E^12 + 622080000*a^13*b*c^21*d^16*E^12 + 
233280000*a^13*b*c^20*d^17*E^8 + 77760000*a^13*b*c^15*d^18*E^8 + 
25920000*a^13*b*c^15*d^14*E^10 + 25920000*a^13*b^4*c^15*d^10*E^8 + 
17280000*a^8*b*c^15*d^14*E^8 + 3240000*a^8*b^4*c^15*d^6*E^8 + 
216000*a^4*b^3*c^15*d^6*E^8 + 216000*a^4*b*c^10*d^9*E^8 + 
86400*a^4*b*c^10*d^8*E^7 + 32400*a^7*b*c^10*d^3*E^7 + 
2700*a^4*b^4*c^10*d^3*E^3 + 675*a^6*b*c^7*d^3*E^3 + 1125*a^5*b*c^2*d^3*E^3 
+ 135*b^5*c^2*d^3*E^3 + 27*c^2*d^6*E^3 + 12*c^7 + 9*c^3*d^3 + a^2;

Q:=3317760000000000*a^7*b^16*c^6*d^33*E^36 + 
829440000000000*a^7*b^16*c^6*d^33*E^35 + 
1036800000000000*a^7*b^16*c^6*d^33*E^31 + 
207360000000000*a^7*b^15*c^8*d^33*E^29 + 
311040000000000*a^7*b^15*c^6*d^33*E^29 + 
62208000000000*a^2*b^15*c^6*d^33*E^32 + 
31104000000000*a^2*b^15*c^6*d^33*E^26 + 
5184000000000*a^2*b^19*c^6*d^33*E^20 + 2592000000000*a^2*b^14*c^6*d^37*E^20 
+ 648000000000*a^2*b^14*c^10*d^31*E^20 + 
172800000000*a^7*b^14*c^2*d^29*E^20 + 648000000000*a^2*b^14*c^2*d^32*E^20 + 
34560000000*a^6*b^12*c^2*d^29*E^20 + 11520000000*a^2*b^14*d^29*E^20 + 
7200000000*a^6*b^9*d^29*E^20 + 1440000000*a*b^9*d^34*E^20 + 
288000000*a*b^9*c^3*d^29*E^18 + 230400000*a*b^9*d^31*E^18 + 
86400000*a*b^9*c^5*d^26*E^17 + 17280000*a*b^9*c^4*d^23*E^17 + 
23040000*a*b^9*d^18*E^21 + 5760000*b^9*d^22*E^17 + 1152000*b^14*d^16*E^17 + 
230400*b^12*d^16*E^17 + 138240*b^8*d^21*E^12 + 115200*b^4*d^19*E^12 + 
34560*b^4*d^13*E^14 + 11520*b^6*d^13*E^8 + 2304*b^4*c*d^11*E^8 + 
288*b^4*c^2*d^11*E^3 + 72*b^7*d^8*E^3 + 288*c^2*d^8*E^3 + 18*d^8*E^3 + 
9*b*d^7 + 3*c^5 + 6*b^2*d^3;

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