local S, T;
S := [[ 1/155, 1/155, 1/155, 1/155, 1/155, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/5, 1/5, 1/5, 1/5, 1/5, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/5, 1/5, 1/5, 1/5, 1/5, 1/5, 1/5, 1/5, 1/5, 1/5, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/5, 1/5, 1/5, 1/5, 1/5, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31 ], [ 1/155, 1/155, 1/155, 1/155, 1/155, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/5*E(5), 1/5*E(5), 1/5*E(5), 1/5*E(5), 1/5*E(5), 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/5*E(5)^2, 1/5*E(5)^2, 1/5*E(5)^2, 1/5*E(5)^2, 1/5*E(5)^2, 1/5*E(5)^3, 1/5*E(5)^3, 1/5*E(5)^3, 1/5*E(5)^3, 1/5*E(5)^3, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/5*E(5)^4, 1/5*E(5)^4, 1/5*E(5)^4, 1/5*E(5)^4, 1/5*E(5)^4, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31 ], [ 1/155, 1/155, 1/155, 1/155, 1/155, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/5*E(5)^2, 1/5*E(5)^2, 1/5*E(5)^2, 1/5*E(5)^2, 1/5*E(5)^2, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/5*E(5)^4, 1/5*E(5)^4, 1/5*E(5)^4, 1/5*E(5)^4, 1/5*E(5)^4, 1/5*E(5), 1/5*E(5), 1/5*E(5), 1/5*E(5), 1/5*E(5), 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/5*E(5)^3, 1/5*E(5)^3, 1/5*E(5)^3, 1/5*E(5)^3, 1/5*E(5)^3, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31 ], [ 1/155, 1/155, 1/155, 1/155, 1/155, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/5*E(5)^3, 1/5*E(5)^3, 1/5*E(5)^3, 1/5*E(5)^3, 1/5*E(5)^3, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/5*E(5), 1/5*E(5), 1/5*E(5), 1/5*E(5), 1/5*E(5), 1/5*E(5)^4, 1/5*E(5)^4, 1/5*E(5)^4, 1/5*E(5)^4, 1/5*E(5)^4, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/5*E(5)^2, 1/5*E(5)^2, 1/5*E(5)^2, 1/5*E(5)^2, 1/5*E(5)^2, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31 ], [ 1/155, 1/155, 1/155, 1/155, 1/155, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/5*E(5)^4, 1/5*E(5)^4, 1/5*E(5)^4, 1/5*E(5)^4, 1/5*E(5)^4, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/5*E(5)^3, 1/5*E(5)^3, 1/5*E(5)^3, 1/5*E(5)^3, 1/5*E(5)^3, 1/5*E(5)^2, 1/5*E(5)^2, 1/5*E(5)^2, 1/5*E(5)^2, 1/5*E(5)^2, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/5*E(5), 1/5*E(5), 1/5*E(5), 1/5*E(5), 1/5*E(5), 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31, 1/31 ], [ 1/31, 1/31, 1/31, 1/31, 1/31, 5/31, 5/31, 5/31, 5/31, 5/31, 5/31, 0, 0, 0, 0, 0, 1/31*E(31)^15+1/31*E(31)^23+1/31*E(31)^27+1/31*E(31)^29+1/31*E(31)^30, 1/31*E(31)^15+1/31*E(31)^23+1/31*E(31)^27+1/31*E(31)^29+1/31*E(31)^30, 1/31*E(31)^15+1/31*E(31)^23+1/31*E(31)^27+1/31*E(31)^29+1/31*E(31)^30, 1/31*E(31)^15+1/31*E(31)^23+1/31*E(31)^27+1/31*E(31)^29+1/31*E(31)^30, 1/31*E(31)^15+1/31*E(31)^23+1/31*E(31)^27+1/31*E(31)^29+1/31*E(31)^30, 1/31*E(31)^15+1/31*E(31)^23+1/31*E(31)^27+1/31*E(31)^29+1/31*E(31)^30, 1/31*E(31)^15+1/31*E(31)^23+1/31*E(31)^27+1/31*E(31)^29+1/31*E(31)^30, 1/31*E(31)^15+1/31*E(31)^23+1/31*E(31)^27+1/31*E(31)^29+1/31*E(31)^30, 1/31*E(31)^15+1/31*E(31)^23+1/31*E(31)^27+1/31*E(31)^29+1/31*E(31)^30, 1/31*E(31)^15+1/31*E(31)^23+1/31*E(31)^27+1/31*E(31)^29+1/31*E(31)^30, 1/31*E(31)^15+1/31*E(31)^23+1/31*E(31)^27+1/31*E(31)^29+1/31*E(31)^30, 1/31*E(31)^15+1/31*E(31)^23+1/31*E(31)^27+1/31*E(31)^29+1/31*E(31)^30, 1/31*E(31)^15+1/31*E(31)^23+1/31*E(31)^27+1/31*E(31)^29+1/31*E(31)^30, 1/31*E(31)^15+1/31*E(31)^23+1/31*E(31)^27+1/31*E(31)^29+1/31*E(31)^30, 1/31*E(31)^15+1/31*E(31)^23+1/31*E(31)^27+1/31*E(31)^29+1/31*E(31)^30, 1/31*E(31)^15+1/31*E(31)^23+1/31*E(31)^27+1/31*E(31)^29+1/31*E(31)^30, 1/31*E(31)^15+1/31*E(31)^23+1/31*E(31)^27+1/31*E(31)^29+1/31*E(31)^30, 1/31*E(31)^15+1/31*E(31)^23+1/31*E(31)^27+1/31*E(31)^29+1/31*E(31)^30, 1/31*E(31)^15+1/31*E(31)^23+1/31*E(31)^27+1/31*E(31)^29+1/31*E(31)^30, 1/31*E(31)^15+1/31*E(31)^23+1/31*E(31)^27+1/31*E(31)^29+1/31*E(31)^30, 1/31*E(31)^15+1/31*E(31)^23+1/31*E(31)^27+1/31*E(31)^29+1/31*E(31)^30, 1/31*E(31)^15+1/31*E(31)^23+1/31*E(31)^27+1/31*E(31)^29+1/31*E(31)^30, 1/31*E(31)^15+1/31*E(31)^23+1/31*E(31)^27+1/31*E(31)^29+1/31*E(31)^30, 1/31*E(31)^15+1/31*E(31)^23+1/31*E(31)^27+1/31*E(31)^29+1/31*E(31)^30, 1/31*E(31)^15+1/31*E(31)^23+1/31*E(31)^27+1/31*E(31)^29+1/31*E(31)^30, 1/31*E(31)^15+1/31*E(31)^23+1/31*E(31)^27+1/31*E(31)^29+1/31*E(31)^30, 1/31*E(31)^15+1/31*E(31)^23+1/31*E(31)^27+1/31*E(31)^29+1/31*E(31)^30, 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1/31*E(31)^3+1/31*E(31)^9+1/31*E(31)^11+1/31*E(31)^12+1/31*E(31)^27, 1/31*E(31)^5+1/31*E(31)^12+1/31*E(31)^13+1/31*E(31)^15+1/31*E(31)^17, 1/31*E(31)^5+1/31*E(31)^9+1/31*E(31)^10+1/31*E(31)^18+1/31*E(31)^20, 1/31*E(31)^6+1/31*E(31)^13+1/31*E(31)^20+1/31*E(31)^26+1/31*E(31)^28, 1/31*E(31)^5+1/31*E(31)^7+1/31*E(31)^11+1/31*E(31)^17+1/31*E(31)^22, 1/31*E(31)^8+1/31*E(31)^13+1/31*E(31)^21+1/31*E(31)^24+1/31*E(31)^27, 1/31*E(31)^9+1/31*E(31)^12+1/31*E(31)^21+1/31*E(31)^25+1/31*E(31)^26, 1/31*E(31)^10+2/31*E(31)^28+2/31*E(31)^29, 1/31*E(31)^2+1/31*E(31)^6+1/31*E(31)^11+1/31*E(31)^13+1/31*E(31)^30, 1/31*E(31)+1/31*E(31)^6+1/31*E(31)^12+1/31*E(31)^14+1/31*E(31)^29, 1/31*E(31)^3+1/31*E(31)^10+1/31*E(31)^13+1/31*E(31)^14+1/31*E(31)^22, 1/31*E(31)^5+2/31*E(31)^14+2/31*E(31)^30, 2/31*E(31)^7+2/31*E(31)^15+1/31*E(31)^18, 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1/31*E(31)^6+1/31*E(31)^15+1/31*E(31)^19+1/31*E(31)^26+1/31*E(31)^27, 2/31*E(31)^3+1/31*E(31)^16+2/31*E(31)^20, 1/31*E(31)^3+1/31*E(31)^10+1/31*E(31)^13+1/31*E(31)^14+1/31*E(31)^22, 1/31*E(31)^8+2/31*E(31)^10+2/31*E(31)^17, -1/31*E(31)-1/31*E(31)^3-1/31*E(31)^4-1/31*E(31)^5-1/31*E(31)^6-1/31*E(31)^8-1/31*E(31)^9-1/31*E(31)^10-1/31*E(31)^11-1/31*E(31)^12-1/31*E(31)^13-1/31*E(31)^14-1/31*E(31)^15-1/31*E(31)^16-1/31*E(31)^17-1/31*E(31)^18-1/31*E(31)^19-1/31*E(31)^20-1/31*E(31)^21-1/31*E(31)^22-1/31*E(31)^23-1/31*E(31)^25-1/31*E(31)^26-1/31*E(31)^27-1/31*E(31)^28-1/31*E(31)^30, -1/31*E(31)-1/31*E(31)^2-1/31*E(31)^3-1/31*E(31)^5-1/31*E(31)^6-1/31*E(31)^7-1/31*E(31)^8-1/31*E(31)^9-1/31*E(31)^10-1/31*E(31)^11-1/31*E(31)^12-1/31*E(31)^13-1/31*E(31)^15-1/31*E(31)^16-1/31*E(31)^18-1/31*E(31)^19-1/31*E(31)^20-1/31*E(31)^21-1/31*E(31)^22-1/31*E(31)^23-1/31*E(31)^24-1/31*E(31)^25-1/31*E(31)^26-1/31*E(31)^28-1/31*E(31)^29-1/31*E(31)^30, 1/31*E(31)+1/31*E(31)^5+1/31*E(31)^7+1/31*E(31)^21+1/31*E(31)^28, 1/31*E(31)^11+1/31*E(31)^14+1/31*E(31)^15+1/31*E(31)^24+1/31*E(31)^29, 1/31*E(31)^9+1/31*E(31)^12+1/31*E(31)^21+1/31*E(31)^25+1/31*E(31)^26, -1/31*E(31)-1/31*E(31)^2-1/31*E(31)^4-1/31*E(31)^5-1/31*E(31)^6-1/31*E(31)^7-1/31*E(31)^9-1/31*E(31)^10-1/31*E(31)^11-1/31*E(31)^12-1/31*E(31)^13-1/31*E(31)^14-1/31*E(31)^15-1/31*E(31)^16-1/31*E(31)^17-1/31*E(31)^18-1/31*E(31)^19-1/31*E(31)^20-1/31*E(31)^21-1/31*E(31)^22-1/31*E(31)^24-1/31*E(31)^25-1/31*E(31)^26-1/31*E(31)^27-1/31*E(31)^29-1/31*E(31)^30, 1/31*E(31)^4+1/31*E(31)^19+1/31*E(31)^20+1/31*E(31)^22+1/31*E(31)^28, 1/31*E(31)^5+1/31*E(31)^7+1/31*E(31)^11+1/31*E(31)^17+1/31*E(31)^22, 1/31*E(31)^14+1/31*E(31)^16+1/31*E(31)^18+1/31*E(31)^19+1/31*E(31)^26, 1/31*E(31)^2+1/31*E(31)^10+1/31*E(31)^11+1/31*E(31)^14+1/31*E(31)^25, 1/31*E(31)^7+1/31*E(31)^14+1/31*E(31)^19+1/31*E(31)^25+1/31*E(31)^28, 2/31*E(31)^2+1/31*E(31)^14+2/31*E(31)^22, 2/31*E(31)^16+1/31*E(31)^19+2/31*E(31)^21, 1/31*E(31)^9+1/31*E(31)^10+1/31*E(31)^16+1/31*E(31)^28+1/31*E(31)^30, 2/31*E(31)^4+2/31*E(31)^13+1/31*E(31)^28, 1/31*E(31)^10+1/31*E(31)^11+1/31*E(31)^16+1/31*E(31)^27+1/31*E(31)^29, 1/31*E(31)^4+1/31*E(31)^7+1/31*E(31)^10+1/31*E(31)^18+1/31*E(31)^23, 1/31*E(31)^4+1/31*E(31)^17+1/31*E(31)^23+1/31*E(31)^24+1/31*E(31)^25, 2/31*E(31)+1/31*E(31)^7+2/31*E(31)^11, 1/31*E(31)^5+1/31*E(31)^8+1/31*E(31)^21+1/31*E(31)^29+1/31*E(31)^30, 1/31*E(31)^4+1/31*E(31)^15+1/31*E(31)^18+1/31*E(31)^26+1/31*E(31)^30, 1/31*E(31)^6+1/31*E(31)^18+1/31*E(31)^22+1/31*E(31)^23+1/31*E(31)^24, 1/31*E(31)+1/31*E(31)^18+1/31*E(31)^20+1/31*E(31)^25+1/31*E(31)^29, 1/31*E(31)^5+1/31*E(31)^12+1/31*E(31)^13+1/31*E(31)^15+1/31*E(31)^17, 1/31*E(31)+1/31*E(31)^6+1/31*E(31)^12+1/31*E(31)^14+1/31*E(31)^29, 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1/31*E(31)^4+1/31*E(31)^12+1/31*E(31)^22+1/31*E(31)^26+1/31*E(31)^29, 1/31*E(31)^11+1/31*E(31)^16+1/31*E(31)^17+1/31*E(31)^23+1/31*E(31)^26, 1/31*E(31)+1/31*E(31)^2+1/31*E(31)^4+1/31*E(31)^8+1/31*E(31)^16, 1/31*E(31)^2+1/31*E(31)^9+1/31*E(31)^13+1/31*E(31)^15+1/31*E(31)^23, 1/31*E(31)^10+1/31*E(31)^11+1/31*E(31)^16+1/31*E(31)^27+1/31*E(31)^29, 1/31*E(31)^7+1/31*E(31)^12+1/31*E(31)^21+1/31*E(31)^23+1/31*E(31)^30, 1/31*E(31)^4+1/31*E(31)^15+1/31*E(31)^18+1/31*E(31)^26+1/31*E(31)^30, 1/31*E(31)+2/31*E(31)^6+2/31*E(31)^9, 1/31*E(31)^3+1/31*E(31)^13+1/31*E(31)^23+1/31*E(31)^25+1/31*E(31)^29, 1/31*E(31)^6+1/31*E(31)^13+1/31*E(31)^20+1/31*E(31)^26+1/31*E(31)^28, 1/31*E(31)+1/31*E(31)^20+1/31*E(31)^22+1/31*E(31)^23+1/31*E(31)^27, 2/31*E(31)^3+1/31*E(31)^16+2/31*E(31)^20, 1/31*E(31)^8+2/31*E(31)^10+2/31*E(31)^17, 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1/31*E(31)^7+1/31*E(31)^8+1/31*E(31)^9+1/31*E(31)^13+1/31*E(31)^25, 1/31*E(31)^6+1/31*E(31)^15+1/31*E(31)^19+1/31*E(31)^26+1/31*E(31)^27, 1/31*E(31)^3+1/31*E(31)^10+1/31*E(31)^13+1/31*E(31)^14+1/31*E(31)^22, -1/31*E(31)-1/31*E(31)^3-1/31*E(31)^4-1/31*E(31)^5-1/31*E(31)^6-1/31*E(31)^8-1/31*E(31)^9-1/31*E(31)^10-1/31*E(31)^11-1/31*E(31)^12-1/31*E(31)^13-1/31*E(31)^14-1/31*E(31)^15-1/31*E(31)^16-1/31*E(31)^17-1/31*E(31)^18-1/31*E(31)^19-1/31*E(31)^20-1/31*E(31)^21-1/31*E(31)^22-1/31*E(31)^23-1/31*E(31)^25-1/31*E(31)^26-1/31*E(31)^27-1/31*E(31)^28-1/31*E(31)^30, 1/31*E(31)+1/31*E(31)^5+1/31*E(31)^7+1/31*E(31)^21+1/31*E(31)^28, 1/31*E(31)^9+1/31*E(31)^12+1/31*E(31)^21+1/31*E(31)^25+1/31*E(31)^26, 1/31*E(31)^4+1/31*E(31)^19+1/31*E(31)^20+1/31*E(31)^22+1/31*E(31)^28, 1/31*E(31)^14+1/31*E(31)^16+1/31*E(31)^18+1/31*E(31)^19+1/31*E(31)^26 ], [ 1/31, 1/31, 1/31, 1/31, 1/31, 1/31*E(31)+1/31*E(31)^2+1/31*E(31)^4+1/31*E(31)^8+1/31*E(31)^16, 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-1/31*E(31)-1/31*E(31)^2-1/31*E(31)^3-1/31*E(31)^4-1/31*E(31)^5-1/31*E(31)^6-1/31*E(31)^7-1/31*E(31)^8-1/31*E(31)^9-1/31*E(31)^10-1/31*E(31)^11-1/31*E(31)^12-1/31*E(31)^15-1/31*E(31)^16-1/31*E(31)^19-1/31*E(31)^20-1/31*E(31)^21-1/31*E(31)^22-1/31*E(31)^23-1/31*E(31)^24-1/31*E(31)^25-1/31*E(31)^26-1/31*E(31)^27-1/31*E(31)^28-1/31*E(31)^29-1/31*E(31)^30, 1/31*E(31)^6+1/31*E(31)^7+1/31*E(31)^8+1/31*E(31)^14+1/31*E(31)^27, 1/31*E(31)^2+1/31*E(31)^10+1/31*E(31)^11+1/31*E(31)^14+1/31*E(31)^25, 1/31*E(31)^8+1/31*E(31)^13+1/31*E(31)^21+1/31*E(31)^24+1/31*E(31)^27, 1/31*E(31)+1/31*E(31)^5+1/31*E(31)^7+1/31*E(31)^21+1/31*E(31)^28, 1/31*E(31)^2+1/31*E(31)^4+1/31*E(31)^15+1/31*E(31)^20+1/31*E(31)^21, 1/31*E(31)^4+1/31*E(31)^8+1/31*E(31)^9+1/31*E(31)^11+1/31*E(31)^30, 1/31*E(31)^3+2/31*E(31)^18+2/31*E(31)^27, 1/31*E(31)+1/31*E(31)^15+1/31*E(31)^24+1/31*E(31)^25+1/31*E(31)^28, 1/31*E(31)+1/31*E(31)^3+1/31*E(31)^15+1/31*E(31)^21+1/31*E(31)^22, 1/31*E(31)^8+1/31*E(31)^16+1/31*E(31)^18+1/31*E(31)^22+1/31*E(31)^29, 2/31*E(31)^10+1/31*E(31)^12+2/31*E(31)^15, 1/31*E(31)^4+1/31*E(31)^12+1/31*E(31)^22+1/31*E(31)^26+1/31*E(31)^29, 2/31*E(31)^9+1/31*E(31)^17+2/31*E(31)^29, 2/31*E(31)^5+1/31*E(31)^6+2/31*E(31)^23 ]];
T := [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, E(25)^6, E(25)^11, E(25)^16, E(25)^21, -E(25)^6-E(25)^11-E(25)^16-E(25)^21, 1, E(31)^25, E(31)^19, E(31)^13, E(31)^7, E(31), E(31)^26, E(31)^20, E(31)^14, E(31)^8, E(31)^2, E(31)^27, E(31)^21, E(31)^15, E(31)^9, E(31)^3, E(31)^28, E(31)^22, E(31)^16, E(31)^10, E(31)^4, E(31)^29, E(31)^23, E(31)^17, E(31)^11, E(31)^5, E(31)^30, E(31)^24, E(31)^18, E(31)^12, E(31)^6, E(25)^14, -E(25)^4-E(25)^9-E(25)^14-E(25)^19, E(25)^9, E(25)^19, E(25)^4, E(25)^9, -E(25)^4-E(25)^9-E(25)^14-E(25)^19, E(25)^14, E(25)^4, E(25)^19, 1, E(31)^13, E(31)^26, E(31)^8, E(31)^21, E(31)^3, E(31)^16, E(31)^29, E(31)^11, E(31)^24, E(31)^6, E(31)^19, E(31), E(31)^14, E(31)^27, E(31)^9, E(31)^22, E(31)^4, E(31)^17, E(31)^30, E(31)^12, E(31)^25, E(31)^7, E(31)^20, E(31)^2, E(31)^15, E(31)^28, E(31)^10, E(31)^23, E(31)^5, E(31)^18, E(25)^16, E(25)^11, E(25)^6, -E(25)^6-E(25)^11-E(25)^16-E(25)^21, E(25)^21, 1, E(31), E(31)^2, E(31)^3, E(31)^4, E(31)^5, E(31)^6, E(31)^7, E(31)^8, E(31)^9, E(31)^10, E(31)^11, E(31)^12, E(31)^13, E(31)^14, E(31)^15, E(31)^16, E(31)^17, E(31)^18, E(31)^19, E(31)^20, E(31)^21, E(31)^22, E(31)^23, E(31)^24, E(31)^25, E(31)^26, E(31)^27, E(31)^28, E(31)^29, E(31)^30, 1, E(31)^20, E(31)^9, E(31)^29, E(31)^18, E(31)^7, E(31)^27, E(31)^16, E(31)^5, E(31)^25, E(31)^14, E(31)^3, E(31)^23, E(31)^12, E(31), E(31)^21, E(31)^10, E(31)^30, E(31)^19, E(31)^8, E(31)^28, E(31)^17, E(31)^6, E(31)^26, E(31)^15, E(31)^4, E(31)^24, E(31)^13, E(31)^2, E(31)^22, E(31)^11, 1, E(31)^27, E(31)^23, E(31)^19, E(31)^15, E(31)^11, E(31)^7, E(31)^3, E(31)^30, E(31)^26, E(31)^22, E(31)^18, E(31)^14, E(31)^10, E(31)^6, E(31)^2, E(31)^29, E(31)^25, E(31)^21, E(31)^17, E(31)^13, E(31)^9, E(31)^5, E(31), E(31)^28, E(31)^24, E(31)^20, E(31)^16, E(31)^12, E(31)^8, E(31)^4, 1, E(31)^3, E(31)^6, E(31)^9, E(31)^12, E(31)^15, E(31)^18, E(31)^21, E(31)^24, E(31)^27, E(31)^30, E(31)^2, E(31)^5, E(31)^8, E(31)^11, E(31)^14, E(31)^17, E(31)^20, E(31)^23, E(31)^26, E(31)^29, E(31), E(31)^4, E(31)^7, E(31)^10, E(31)^13, E(31)^16, E(31)^19, E(31)^22, E(31)^25, E(31)^28 ];
return rec(S := S, T := T);;