local S, T;
S := [[ 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 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-1/22, -1/22, -1/22, -1/22, -1/22, -1/22, -1/22, -1/22, -1/22, -1/22, -1/22 ], [ 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22*E(11)^10, 1/22*E(11)^10, 1/22*E(11)^10, 1/22*E(11)^10, 1/22*E(11)^10, 1/22*E(11)^10, 1/22*E(11)^10, 1/22*E(11)^10, 1/22*E(11)^10, 1/22*E(11)^10, 1/22*E(11)^10, 1/22*E(11)^10, 1/22*E(11)^10, 1/22*E(11)^10, 1/22*E(11)^10, 1/22*E(11)^10, 1/22*E(11)^10, 1/22*E(11)^10, 1/22*E(11)^10, 1/22*E(11)^10, 1/22*E(11)^10, 1/22*E(11)^10, 1/22*E(11)^10, 1/22*E(11)^10, 1/22*E(11)^10, 1/22*E(11)^10, 1/22*E(11)^10, 1/22*E(11)^10, 1/22*E(11)^10, 1/22*E(11)^10, 1/22*E(11)^10, 1/22*E(11)^10, 1/22*E(11)^10, 1/22*E(11)^10, 1/22*E(11)^10, 1/22*E(11)^10, 1/22*E(11)^10, 1/22*E(11)^10, 1/22*E(11)^10, 1/22*E(11)^10, 1/22*E(11)^10, 1/22*E(11)^10, 1/22*E(11)^10, 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-1/22, -1/22*E(11)^3, -1/22*E(11)^6, -1/22*E(11), 1/22*E(11), -1/22*E(11)^4, -1/22*E(11)^7, -1/22*E(11)^10, -1/22*E(11)^2, -1/22*E(11)^5, -1/22*E(11)^8, -1/22, -1/22*E(11)^3, -1/22*E(11)^6, -1/22*E(11)^9, 1/22*E(11)^4, 1/22*E(11)^7, 1/22*E(11)^10, 1/22*E(11)^2, 1/22*E(11)^5, 1/22*E(11)^8, 1/22, 1/22*E(11)^3, 1/22*E(11)^6, 1/22*E(11)^9, 1/22*E(11), -1/22*E(11), 1/22*E(11)^4, 1/22*E(11)^7, 1/22*E(11)^10, 1/22*E(11)^2, 1/22*E(11)^5, 1/22*E(11)^8, 1/22, 1/22*E(11)^3, 1/22*E(11)^6, 1/22*E(11)^9, -1/22*E(11)^4, -1/22*E(11)^7, -1/22*E(11)^10, -1/22*E(11)^2, -1/22*E(11)^5, -1/22*E(11)^8, -1/22, -1/22*E(11)^3, -1/22*E(11)^6, -1/22*E(11)^9, -1/22*E(11)^4, 1/22*E(11)^4, -1/22*E(11)^7, -1/22*E(11)^10, -1/22*E(11)^2, -1/22*E(11)^5, -1/22*E(11)^8, -1/22, -1/22*E(11)^3, -1/22*E(11)^6, -1/22*E(11)^9, -1/22*E(11), 1/22*E(11)^7, 1/22*E(11)^10, 1/22*E(11)^2, 1/22*E(11)^5, 1/22*E(11)^8, 1/22, 1/22*E(11)^3, 1/22*E(11)^6, 1/22*E(11)^9, 1/22*E(11), 1/22*E(11)^4, -1/22*E(11)^4, 1/22*E(11)^7, 1/22*E(11)^10, 1/22*E(11)^2, 1/22*E(11)^5, 1/22*E(11)^8, 1/22, 1/22*E(11)^3, 1/22*E(11)^6, 1/22*E(11)^9, 1/22*E(11), -1/22*E(11)^7, -1/22*E(11)^10, -1/22*E(11)^2, -1/22*E(11)^5, -1/22*E(11)^8, -1/22, -1/22*E(11)^3, -1/22*E(11)^6, -1/22*E(11)^9, -1/22*E(11), -1/22*E(11)^7, 1/22*E(11)^7, -1/22*E(11)^10, -1/22*E(11)^2, -1/22*E(11)^5, -1/22*E(11)^8, -1/22, -1/22*E(11)^3, -1/22*E(11)^6, -1/22*E(11)^9, -1/22*E(11), -1/22*E(11)^4, 1/22*E(11)^10, 1/22*E(11)^2, 1/22*E(11)^5, 1/22*E(11)^8, 1/22, 1/22*E(11)^3, 1/22*E(11)^6, 1/22*E(11)^9, 1/22*E(11), 1/22*E(11)^4, 1/22*E(11)^7, -1/22*E(11)^7, 1/22*E(11)^10, 1/22*E(11)^2, 1/22*E(11)^5, 1/22*E(11)^8, 1/22, 1/22*E(11)^3, 1/22*E(11)^6, 1/22*E(11)^9, 1/22*E(11), 1/22*E(11)^4, -1/22*E(11)^10, -1/22*E(11)^2, -1/22*E(11)^5, -1/22*E(11)^8, -1/22, -1/22*E(11)^3, -1/22*E(11)^6, -1/22*E(11)^9, -1/22*E(11), -1/22*E(11)^4, -1/22*E(11)^10, 1/22*E(11)^10, -1/22*E(11)^2, -1/22*E(11)^5, -1/22*E(11)^8, -1/22, -1/22*E(11)^3, -1/22*E(11)^6, -1/22*E(11)^9, -1/22*E(11), -1/22*E(11)^4, -1/22*E(11)^7, 1/22*E(11)^2, 1/22*E(11)^5, 1/22*E(11)^8, 1/22, 1/22*E(11)^3, 1/22*E(11)^6, 1/22*E(11)^9, 1/22*E(11), 1/22*E(11)^4, 1/22*E(11)^7, 1/22*E(11)^10, -1/22*E(11)^10, 1/22*E(11)^2, 1/22*E(11)^5, 1/22*E(11)^8, 1/22, 1/22*E(11)^3, 1/22*E(11)^6, 1/22*E(11)^9, 1/22*E(11), 1/22*E(11)^4, 1/22*E(11)^7, -1/22*E(11)^2, -1/22*E(11)^5, -1/22*E(11)^8, -1/22, -1/22*E(11)^3, -1/22*E(11)^6, -1/22*E(11)^9, -1/22*E(11), -1/22*E(11)^4, -1/22*E(11)^7, -1/22*E(11)^2, 1/22*E(11)^2, -1/22*E(11)^5, -1/22*E(11)^8, -1/22, -1/22*E(11)^3, -1/22*E(11)^6, -1/22*E(11)^9, -1/22*E(11), -1/22*E(11)^4, -1/22*E(11)^7, -1/22*E(11)^10, 1/22*E(11)^5, 1/22*E(11)^8, 1/22, 1/22*E(11)^3, 1/22*E(11)^6, 1/22*E(11)^9, 1/22*E(11), 1/22*E(11)^4, 1/22*E(11)^7, 1/22*E(11)^10, 1/22*E(11)^2, -1/22*E(11)^2, 1/22*E(11)^5, 1/22*E(11)^8, 1/22, 1/22*E(11)^3, 1/22*E(11)^6, 1/22*E(11)^9, 1/22*E(11), 1/22*E(11)^4, 1/22*E(11)^7, 1/22*E(11)^10, -1/22*E(11)^5, -1/22*E(11)^8, -1/22, -1/22*E(11)^3, -1/22*E(11)^6, -1/22*E(11)^9, -1/22*E(11), -1/22*E(11)^4, -1/22*E(11)^7, -1/22*E(11)^10, -1/22*E(11)^5, 1/22*E(11)^5, -1/22*E(11)^8, -1/22, -1/22*E(11)^3, -1/22*E(11)^6, -1/22*E(11)^9, -1/22*E(11), -1/22*E(11)^4, -1/22*E(11)^7, -1/22*E(11)^10, -1/22*E(11)^2, 1/22*E(11)^8, 1/22, 1/22*E(11)^3, 1/22*E(11)^6, 1/22*E(11)^9, 1/22*E(11), 1/22*E(11)^4, 1/22*E(11)^7, 1/22*E(11)^10, 1/22*E(11)^2, 1/22*E(11)^5, -1/22*E(11)^5, 1/22*E(11)^8, 1/22, 1/22*E(11)^3, 1/22*E(11)^6, 1/22*E(11)^9, 1/22*E(11), 1/22*E(11)^4, 1/22*E(11)^7, 1/22*E(11)^10, 1/22*E(11)^2, -1/22*E(11)^8, -1/22, -1/22*E(11)^3, -1/22*E(11)^6, -1/22*E(11)^9, -1/22*E(11), -1/22*E(11)^4, -1/22*E(11)^7, -1/22*E(11)^10, -1/22*E(11)^2, -1/22*E(11)^8, 1/22*E(11)^8, -1/22, -1/22*E(11)^3, -1/22*E(11)^6, -1/22*E(11)^9, -1/22*E(11), -1/22*E(11)^4, -1/22*E(11)^7, -1/22*E(11)^10, -1/22*E(11)^2, -1/22*E(11)^5, 1/22, 1/22*E(11)^3, 1/22*E(11)^6, 1/22*E(11)^9, 1/22*E(11), 1/22*E(11)^4, 1/22*E(11)^7, 1/22*E(11)^10, 1/22*E(11)^2, 1/22*E(11)^5, 1/22*E(11)^8, -1/22*E(11)^8, 1/22, 1/22*E(11)^3, 1/22*E(11)^6, 1/22*E(11)^9, 1/22*E(11), 1/22*E(11)^4, 1/22*E(11)^7, 1/22*E(11)^10, 1/22*E(11)^2, 1/22*E(11)^5, -1/22, -1/22*E(11)^3, -1/22*E(11)^6, -1/22*E(11)^9, -1/22*E(11), -1/22*E(11)^4, -1/22*E(11)^7, -1/22*E(11)^10, -1/22*E(11)^2, -1/22*E(11)^5 ]];
T := [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, E(4), -E(4), E(4), E(4), E(4), E(4), E(4), E(4), E(4), E(4), E(4), E(4), -E(4), -E(4), -E(4), -E(4), -E(4), -E(4), -E(4), -E(4), -E(4), -E(4), 1, 1, E(11)^3, E(11)^6, E(11)^9, E(11), E(11)^4, E(11)^7, E(11)^10, E(11)^2, E(11)^5, E(11)^8, E(11)^3, E(11)^6, E(11)^9, E(11), E(11)^4, E(11)^7, E(11)^10, E(11)^2, E(11)^5, E(11)^8, E(4), -E(4), E(44)^23, E(44)^35, E(44)^3, E(44)^15, E(44)^27, E(44)^39, E(44)^7, E(44)^19, E(44)^31, E(44)^43, -E(44)^23, -E(44)^35, -E(44)^3, -E(44)^15, -E(44)^27, -E(44)^39, -E(44)^7, -E(44)^19, -E(44)^31, -E(44)^43, 1, 1, E(11)^6, E(11), E(11)^7, E(11)^2, E(11)^8, E(11)^3, E(11)^9, E(11)^4, E(11)^10, E(11)^5, E(11)^6, E(11), E(11)^7, E(11)^2, E(11)^8, E(11)^3, E(11)^9, E(11)^4, E(11)^10, E(11)^5, E(4), -E(4), E(44)^35, E(44)^15, E(44)^39, E(44)^19, E(44)^43, E(44)^23, E(44)^3, E(44)^27, E(44)^7, E(44)^31, -E(44)^35, -E(44)^15, -E(44)^39, -E(44)^19, -E(44)^43, -E(44)^23, -E(44)^3, -E(44)^27, -E(44)^7, -E(44)^31, 1, 1, E(11)^9, E(11)^7, E(11)^5, E(11)^3, E(11), E(11)^10, E(11)^8, E(11)^6, E(11)^4, E(11)^2, E(11)^9, E(11)^7, E(11)^5, E(11)^3, E(11), E(11)^10, E(11)^8, E(11)^6, E(11)^4, E(11)^2, E(4), -E(4), E(44)^3, E(44)^39, E(44)^31, E(44)^23, E(44)^15, E(44)^7, E(44)^43, E(44)^35, E(44)^27, E(44)^19, -E(44)^3, -E(44)^39, -E(44)^31, -E(44)^23, -E(44)^15, -E(44)^7, -E(44)^43, -E(44)^35, -E(44)^27, -E(44)^19, 1, 1, E(11), E(11)^2, E(11)^3, E(11)^4, E(11)^5, E(11)^6, E(11)^7, E(11)^8, E(11)^9, E(11)^10, E(11), E(11)^2, E(11)^3, E(11)^4, E(11)^5, E(11)^6, E(11)^7, E(11)^8, E(11)^9, E(11)^10, E(4), -E(4), E(44)^15, E(44)^19, E(44)^23, E(44)^27, E(44)^31, E(44)^35, E(44)^39, E(44)^43, E(44)^3, E(44)^7, -E(44)^15, -E(44)^19, -E(44)^23, -E(44)^27, -E(44)^31, -E(44)^35, -E(44)^39, -E(44)^43, -E(44)^3, -E(44)^7, 1, 1, E(11)^4, E(11)^8, E(11), E(11)^5, E(11)^9, E(11)^2, E(11)^6, E(11)^10, E(11)^3, E(11)^7, E(11)^4, E(11)^8, E(11), E(11)^5, E(11)^9, E(11)^2, E(11)^6, E(11)^10, E(11)^3, E(11)^7, E(4), -E(4), E(44)^27, E(44)^43, E(44)^15, E(44)^31, E(44)^3, E(44)^19, E(44)^35, E(44)^7, E(44)^23, E(44)^39, -E(44)^27, -E(44)^43, -E(44)^15, -E(44)^31, -E(44)^3, -E(44)^19, -E(44)^35, -E(44)^7, -E(44)^23, -E(44)^39, 1, 1, E(11)^7, E(11)^3, E(11)^10, E(11)^6, E(11)^2, E(11)^9, E(11)^5, E(11), E(11)^8, E(11)^4, E(11)^7, E(11)^3, E(11)^10, E(11)^6, E(11)^2, E(11)^9, E(11)^5, E(11), E(11)^8, E(11)^4, E(4), -E(4), E(44)^39, E(44)^23, E(44)^7, E(44)^35, E(44)^19, E(44)^3, E(44)^31, E(44)^15, E(44)^43, E(44)^27, -E(44)^39, -E(44)^23, -E(44)^7, -E(44)^35, -E(44)^19, -E(44)^3, -E(44)^31, -E(44)^15, -E(44)^43, -E(44)^27, 1, 1, E(11)^10, E(11)^9, E(11)^8, E(11)^7, E(11)^6, E(11)^5, E(11)^4, E(11)^3, E(11)^2, E(11), E(11)^10, E(11)^9, E(11)^8, E(11)^7, E(11)^6, E(11)^5, E(11)^4, E(11)^3, E(11)^2, E(11), E(4), -E(4), E(44)^7, E(44)^3, E(44)^43, E(44)^39, E(44)^35, E(44)^31, E(44)^27, E(44)^23, E(44)^19, E(44)^15, -E(44)^7, -E(44)^3, -E(44)^43, -E(44)^39, -E(44)^35, -E(44)^31, -E(44)^27, -E(44)^23, -E(44)^19, -E(44)^15, 1, 1, E(11)^2, E(11)^4, E(11)^6, E(11)^8, E(11)^10, E(11), E(11)^3, E(11)^5, E(11)^7, E(11)^9, E(11)^2, E(11)^4, E(11)^6, E(11)^8, E(11)^10, E(11), E(11)^3, E(11)^5, E(11)^7, E(11)^9, E(4), -E(4), E(44)^19, E(44)^27, E(44)^35, E(44)^43, E(44)^7, E(44)^15, E(44)^23, E(44)^31, E(44)^39, E(44)^3, -E(44)^19, -E(44)^27, -E(44)^35, -E(44)^43, -E(44)^7, -E(44)^15, -E(44)^23, -E(44)^31, -E(44)^39, -E(44)^3, 1, 1, E(11)^5, E(11)^10, E(11)^4, E(11)^9, E(11)^3, E(11)^8, E(11)^2, E(11)^7, E(11), E(11)^6, E(11)^5, E(11)^10, E(11)^4, E(11)^9, E(11)^3, E(11)^8, E(11)^2, E(11)^7, E(11), E(11)^6, E(4), -E(4), E(44)^31, E(44)^7, E(44)^27, E(44)^3, E(44)^23, E(44)^43, E(44)^19, E(44)^39, E(44)^15, E(44)^35, -E(44)^31, -E(44)^7, -E(44)^27, -E(44)^3, -E(44)^23, -E(44)^43, -E(44)^19, -E(44)^39, -E(44)^15, -E(44)^35, 1, 1, E(11)^8, E(11)^5, E(11)^2, E(11)^10, E(11)^7, E(11)^4, E(11), E(11)^9, E(11)^6, E(11)^3, E(11)^8, E(11)^5, E(11)^2, E(11)^10, E(11)^7, E(11)^4, E(11), E(11)^9, E(11)^6, E(11)^3, E(4), -E(4), E(44)^43, E(44)^31, E(44)^19, E(44)^7, E(44)^39, E(44)^27, E(44)^15, E(44)^3, E(44)^35, E(44)^23, -E(44)^43, -E(44)^31, -E(44)^19, -E(44)^7, -E(44)^39, -E(44)^27, -E(44)^15, -E(44)^3, -E(44)^35, -E(44)^23 ];
return rec(S := S, T := T);;