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Fit a long polynomial inside the Wolfram|Alpha character limit?

GROUPS:

Hi :)

I'm trying to fully expand a generator polynomial I'm using for enumeration. Unfortunately it's about double the character limit for Wolfram Alpha.

I've already ran the component pieces through to find any shorter forms and removed spaces. I'm left with the following:

(21x^6+54x^5+94x^4+131x^3+160x^2+172x+167)(21x^9+54x^8+94x^7+131x^6+160x^5+172x^4+167x^3+148x^2+122x+91)(x(x(x(x(x(x(x(x(x(x(x(x(x(3x(7x+18)+94)+131)+160)+172)+167)+148)+122)+91)+62)+38)+21)+10)+4)+1)^2(21x^5+54x^4+94x^3+131x^2+160x+172)(7x+18)3x^57

Unfortunately I've had no luck trying to fit them all in or to compact it any further. If I could even get just the large sections multiplied and fully expanded, the two little ones at the end would be fine by hand, but it's not important enough to try and tackle the rest.

Does anyone know of a way to get this done, or have I simply hit the limits of the tool?

If needed here are the original components in a less ugly form:

(21x^18+54x^17+94x^16+131x^15+160x^14+172x^13+167x^12)
(21x^18+54x^17+94x^16+131x^15+160x^14+172x^13+167x^12+148x^11+122x^10+91x^9+62x^8+38x^7+21x^6+10x^5+4x^4+x^3)^2
(21x^18+54x^17+94x^16+131x^15+160x^14+172x^13+167x^12+148x^11+122x^10+91x^9)
(21x^18+54x^17+94x^16+131x^15+160x^14+172x^13)
(21x^18+54x^17)
POSTED BY: Capt. Kiwi
Answer
23 days ago

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