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1/24*E(16)^3, 1/12*E(16)^3, -1/24*E(16)^3, -1/12*E(16)^3, 1/24*E(16)^3, -1/24*E(16)^7, 1/24*E(16)^7, 1/12*E(16)^7, -1/24*E(16)^7, -1/12*E(16)^7, 1/24*E(16)^7, 1/24*E(16)^5, -1/24*E(16)^5, -1/12*E(16)^5, 1/24*E(16)^5, 1/12*E(16)^5, -1/24*E(16)^5, -1/24*E(16), 1/24*E(16), 1/12*E(16), -1/24*E(16), -1/12*E(16), 1/24*E(16), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/24*E(32)^13, 1/24*E(32)^5, -1/24*E(32)^5, -1/24*E(32)^13, 1/24*E(32)^13, -1/12*E(32)^13, 1/24*E(32)^5, -1/12*E(32)^5, -1/24*E(32)^5, 1/12*E(32)^5, -1/24*E(32)^13, 1/12*E(32)^13, 1/24*E(32), -1/24*E(32)^9, 1/24*E(32)^9, -1/24*E(32), 1/24*E(32), -1/12*E(32), -1/24*E(32)^9, 1/12*E(32)^9, 1/24*E(32)^9, -1/12*E(32)^9, -1/24*E(32), 1/12*E(32) ], [ 1/24, 1/24, -1/24, -1/24, 1/24*E(4), -1/24*E(4), -1/24*E(4), 1/24*E(4), 1/24*E(8), 1/24*E(8)^3, -1/24*E(8), -1/24*E(8)^3, -1/24*E(8)^3, -1/24*E(8), 1/24*E(8)^3, 1/24*E(8), 1/24, -1/24, 1/24*E(4), -1/24*E(4), 1/24*E(8), 1/24*E(8)^3, -1/24*E(8)^3, -1/24*E(8), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/24*E(32)^11, 1/24*E(32)^11, -1/24*E(32)^11, -1/24*E(32)^11, 1/24*E(32)^3, 1/24*E(32)^3, -1/24*E(32)^3, -1/24*E(32)^3, -1/24*E(32)^7, -1/24*E(32)^7, 1/24*E(32)^7, 1/24*E(32)^7, 1/24*E(32)^15, 1/24*E(32)^15, -1/24*E(32)^15, -1/24*E(32)^15, -1/24*E(32)^11, 1/24*E(32)^11, -1/24*E(32)^3, 1/24*E(32)^3, 1/24*E(32)^7, -1/24*E(32)^7, -1/24*E(32)^15, 1/24*E(32)^15, 1/24*E(16)^5, 1/24*E(16)^5, -1/24*E(16)^5, -1/24*E(16)^5, 1/24*E(16), 1/24*E(16), -1/24*E(16), -1/24*E(16), -1/24*E(16)^3, -1/24*E(16)^3, 1/24*E(16)^3, 1/24*E(16)^3, -1/24*E(16)^7, -1/24*E(16)^7, 1/24*E(16)^7, 1/24*E(16)^7, -1/24*E(16)^5, 1/24*E(16)^5, -1/24*E(16), 1/24*E(16), 1/24*E(16)^3, -1/24*E(16)^3, 1/24*E(16)^7, -1/24*E(16)^7, 1/24*E(8), 1/24*E(8), -1/24*E(8), -1/24*E(8), -1/24*E(8)^3, -1/24*E(8)^3, 1/24*E(8)^3, 1/24*E(8)^3, 1/24*E(4), 1/24*E(4), -1/24*E(4), -1/24*E(4), 1/24, 1/24, -1/24, -1/24, -1/24*E(8), 1/24*E(8), 1/24*E(8)^3, -1/24*E(8)^3, -1/24*E(4), 1/24*E(4), -1/24, 1/24, -1/24*E(4), 1/12*E(4), -1/24*E(4), 1/24*E(4), -1/12*E(4), 1/24*E(4), 1/24, -1/12, 1/24, -1/24, 1/12, -1/24, -1/24*E(8), 1/12*E(8), -1/24*E(8), -1/24*E(8)^3, 1/12*E(8)^3, -1/24*E(8)^3, 1/24*E(8), -1/12*E(8), 1/24*E(8), 1/24*E(8)^3, -1/12*E(8)^3, 1/24*E(8)^3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/24*E(32)^9, 1/24*E(32)^9, -1/24*E(32)^9, -1/24*E(32)^9, 1/24*E(32), 1/24*E(32), -1/24*E(32), -1/24*E(32), -1/24*E(32)^13, -1/24*E(32)^13, 1/24*E(32)^13, 1/24*E(32)^13, -1/24*E(32)^5, -1/24*E(32)^5, 1/24*E(32)^5, 1/24*E(32)^5, -1/24*E(32)^9, 1/24*E(32)^9, -1/24*E(32), 1/24*E(32), 1/24*E(32)^13, -1/24*E(32)^13, 1/24*E(32)^5, -1/24*E(32)^5, 1/24*E(32)^15, 1/24*E(32)^15, -1/24*E(32)^15, -1/24*E(32)^15, 1/24*E(32)^7, 1/24*E(32)^7, -1/24*E(32)^7, -1/24*E(32)^7, 1/24*E(32)^3, 1/24*E(32)^3, -1/24*E(32)^3, -1/24*E(32)^3, -1/24*E(32)^11, -1/24*E(32)^11, 1/24*E(32)^11, 1/24*E(32)^11, -1/24*E(32)^15, 1/24*E(32)^15, -1/24*E(32)^7, 1/24*E(32)^7, -1/24*E(32)^3, 1/24*E(32)^3, 1/24*E(32)^11, -1/24*E(32)^11, 1/24*E(32)^11, 1/24*E(32)^3, -1/24*E(32)^3, -1/24*E(32)^11, -1/12*E(32)^11, 1/24*E(32)^11, -1/12*E(32)^3, 1/24*E(32)^3, 1/12*E(32)^3, -1/24*E(32)^3, 1/12*E(32)^11, -1/24*E(32)^11, -1/24*E(32)^15, -1/24*E(32)^7, 1/24*E(32)^7, 1/24*E(32)^15, 1/12*E(32)^15, -1/24*E(32)^15, 1/12*E(32)^7, -1/24*E(32)^7, -1/12*E(32)^7, 1/24*E(32)^7, -1/12*E(32)^15, 1/24*E(32)^15, 1/24*E(16)^3, 1/24*E(16)^3, -1/24*E(16)^3, -1/24*E(16)^3, 1/24*E(16)^7, 1/24*E(16)^7, -1/24*E(16)^7, -1/24*E(16)^7, 1/24*E(16), 1/24*E(16), -1/24*E(16), -1/24*E(16), -1/24*E(16)^5, -1/24*E(16)^5, 1/24*E(16)^5, 1/24*E(16)^5, -1/24*E(16)^3, 1/24*E(16)^3, -1/24*E(16)^7, 1/24*E(16)^7, -1/24*E(16), 1/24*E(16), 1/24*E(16)^5, -1/24*E(16)^5, 1/24*E(16)^7, -1/24*E(16)^7, 1/24*E(16)^7, -1/12*E(16)^7, -1/24*E(16)^7, 1/12*E(16)^7, -1/24*E(16)^3, 1/24*E(16)^3, -1/24*E(16)^3, 1/12*E(16)^3, 1/24*E(16)^3, -1/12*E(16)^3, 1/24*E(16), -1/24*E(16), 1/24*E(16), -1/12*E(16), -1/24*E(16), 1/12*E(16), 1/24*E(16)^5, -1/24*E(16)^5, 1/24*E(16)^5, -1/12*E(16)^5, -1/24*E(16)^5, 1/12*E(16)^5, 1/24, 1/24, -1/12, -1/24, -1/24, 1/12, 1/24*E(4), 1/24*E(4), -1/12*E(4), -1/24*E(4), -1/24*E(4), 1/12*E(4), 1/24*E(8), 1/24*E(8), -1/12*E(8), 1/24*E(8)^3, 1/24*E(8)^3, -1/12*E(8)^3, -1/24*E(8), -1/24*E(8), 1/12*E(8), -1/24*E(8)^3, -1/24*E(8)^3, 1/12*E(8)^3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/24*E(32)^9, -1/24*E(32)^9, 1/24*E(32)^9, 1/24*E(32)^9, -1/24*E(32), -1/24*E(32), 1/24*E(32), 1/24*E(32), 1/24*E(32)^5, 1/24*E(32)^5, -1/24*E(32)^5, -1/24*E(32)^5, -1/24*E(32)^13, -1/24*E(32)^13, 1/24*E(32)^13, 1/24*E(32)^13, 1/24*E(32)^9, -1/24*E(32)^9, 1/24*E(32), -1/24*E(32), -1/24*E(32)^5, 1/24*E(32)^5, 1/24*E(32)^13, -1/24*E(32)^13, -1/24*E(32)^5, 1/24*E(32)^13, -1/24*E(32)^13, 1/24*E(32)^5, 1/12*E(32)^5, -1/24*E(32)^5, -1/12*E(32)^13, 1/24*E(32)^13, 1/12*E(32)^13, -1/24*E(32)^13, -1/12*E(32)^5, 1/24*E(32)^5, 1/24*E(32)^9, 1/24*E(32), -1/24*E(32), -1/24*E(32)^9, -1/12*E(32)^9, 1/24*E(32)^9, -1/12*E(32), 1/24*E(32), 1/12*E(32), -1/24*E(32), 1/12*E(32)^9, -1/24*E(32)^9, -1/24*E(32)^15, -1/24*E(32)^7, 1/24*E(32)^7, 1/24*E(32)^15, 1/12*E(32)^15, -1/24*E(32)^15, 1/12*E(32)^7, -1/24*E(32)^7, -1/12*E(32)^7, 1/24*E(32)^7, -1/12*E(32)^15, 1/24*E(32)^15, -1/24*E(32)^3, 1/24*E(32)^11, -1/24*E(32)^11, 1/24*E(32)^3, 1/12*E(32)^3, -1/24*E(32)^3, -1/12*E(32)^11, 1/24*E(32)^11, 1/12*E(32)^11, -1/24*E(32)^11, -1/12*E(32)^3, 1/24*E(32)^3, -1/24*E(16)^3, 1/24*E(16)^3, -1/24*E(16)^3, 1/12*E(16)^3, 1/24*E(16)^3, -1/12*E(16)^3, -1/24*E(16)^7, 1/24*E(16)^7, -1/24*E(16)^7, 1/12*E(16)^7, 1/24*E(16)^7, -1/12*E(16)^7, 1/24*E(16)^5, -1/24*E(16)^5, 1/24*E(16)^5, -1/12*E(16)^5, -1/24*E(16)^5, 1/12*E(16)^5, -1/24*E(16), 1/24*E(16), -1/24*E(16), 1/12*E(16), 1/24*E(16), -1/12*E(16), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/24*E(32)^13, 1/24*E(32)^5, -1/24*E(32)^5, -1/24*E(32)^13, -1/12*E(32)^13, 1/24*E(32)^13, -1/12*E(32)^5, 1/24*E(32)^5, 1/12*E(32)^5, -1/24*E(32)^5, 1/12*E(32)^13, -1/24*E(32)^13, 1/24*E(32), -1/24*E(32)^9, 1/24*E(32)^9, -1/24*E(32), -1/12*E(32), 1/24*E(32), 1/12*E(32)^9, -1/24*E(32)^9, -1/12*E(32)^9, 1/24*E(32)^9, 1/12*E(32), -1/24*E(32) ]]; T := [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -E(256)^103, E(256)^23, E(256)^71, E(256)^119, -E(256)^39, -E(256)^87, E(256)^7, E(256)^55, -E(256)^55, -E(256)^7, E(256)^87, E(256)^39, -E(256)^119, -E(256)^71, -E(256)^23, E(256)^103, E(64)^23, E(64)^23, -E(64)^23, -E(64)^23, E(64)^7, E(64)^7, -E(64)^7, -E(64)^7, -E(64)^15, -E(64)^15, E(64)^15, E(64)^15, E(64)^31, E(64)^31, -E(64)^31, -E(64)^31, E(64)^23, -E(64)^23, E(64)^7, -E(64)^7, -E(64)^15, E(64)^15, E(64)^31, -E(64)^31, -E(16)^3, -E(16)^3, -E(16)^3, -E(16)^3, E(16)^3, E(16)^3, E(16)^3, E(16)^3, E(16)^7, E(16)^7, E(16)^7, E(16)^7, -E(16)^7, -E(16)^7, -E(16)^7, -E(16)^7, -E(16)^3, -E(16)^3, E(16)^3, E(16)^3, E(16)^7, E(16)^7, -E(16)^7, -E(16)^7, -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), E(4), E(4), 1, E(3), E(3)^2, 1, E(3), E(3)^2, 1, E(3), E(3)^2, 1, E(3), E(3)^2, 1, E(3), E(3)^2, 1, E(3), E(3)^2, 1, E(3), E(3)^2, 1, E(3), E(3)^2, E(256)^31, -E(256)^47, E(256)^63, -E(256)^79, E(256)^95, -E(256)^111, E(256)^127, E(256)^15, -E(256)^15, -E(256)^127, E(256)^111, -E(256)^95, E(256)^79, -E(256)^63, E(256)^47, -E(256)^31, -E(256)^15, E(256)^127, E(256)^111, E(256)^95, E(256)^79, E(256)^63, E(256)^47, E(256)^31, -E(256)^31, -E(256)^47, -E(256)^63, -E(256)^79, -E(256)^95, -E(256)^111, -E(256)^127, E(256)^15, -E(256)^71, E(256)^119, E(256)^39, -E(256)^87, -E(256)^7, E(256)^55, -E(256)^103, -E(256)^23, E(256)^23, E(256)^103, -E(256)^55, E(256)^7, E(256)^87, -E(256)^39, -E(256)^119, E(256)^71, -E(64)^31, -E(64)^31, E(64)^31, E(64)^31, E(64)^15, E(64)^15, -E(64)^15, -E(64)^15, -E(64)^23, -E(64)^23, E(64)^23, E(64)^23, E(64)^7, E(64)^7, -E(64)^7, -E(64)^7, -E(64)^31, E(64)^31, E(64)^15, -E(64)^15, -E(64)^23, E(64)^23, E(64)^7, -E(64)^7, -E(64)^15, -E(64)^15, E(64)^15, E(64)^15, E(64)^31, E(64)^31, -E(64)^31, -E(64)^31, -E(64)^23, -E(64)^23, E(64)^23, E(64)^23, -E(64)^7, -E(64)^7, E(64)^7, E(64)^7, -E(64)^15, E(64)^15, E(64)^31, -E(64)^31, -E(64)^23, E(64)^23, -E(64)^7, E(64)^7, -E(64)^23, -E(64)^7, E(64)^7, E(64)^23, -E(192)^133, -E(192)^5, -E(192)^85, -E(192)^149, E(192)^85, E(192)^149, E(192)^133, E(192)^5, E(64)^31, E(64)^15, -E(64)^15, -E(64)^31, E(192)^157, E(192)^29, E(192)^109, E(192)^173, -E(192)^109, -E(192)^173, -E(192)^157, -E(192)^29, -E(16)^3, -E(16)^3, -E(16)^3, -E(16)^3, E(16)^3, E(16)^3, E(16)^3, E(16)^3, -E(16)^7, -E(16)^7, -E(16)^7, -E(16)^7, E(16)^7, E(16)^7, E(16)^7, E(16)^7, -E(16)^3, -E(16)^3, E(16)^3, E(16)^3, -E(16)^7, -E(16)^7, E(16)^7, E(16)^7, -E(16)^7, -E(16)^7, -E(48)^5, -E(48)^37, -E(48)^5, -E(48)^37, E(16)^7, E(16)^7, E(48)^5, E(48)^37, E(48)^5, E(48)^37, E(16)^3, E(16)^3, E(48)^41, E(48)^25, E(48)^41, E(48)^25, -E(16)^3, -E(16)^3, -E(48)^41, -E(48)^25, -E(48)^41, -E(48)^25, E(4), E(12)^11, E(12)^7, E(4), E(12)^11, E(12)^7, E(4), E(12)^11, E(12)^7, E(4), E(12)^11, E(12)^7, -E(4), -E(12)^11, -E(12)^7, -E(4), -E(12)^11, -E(12)^7, -E(4), -E(12)^11, -E(12)^7, -E(4), -E(12)^11, -E(12)^7, -E(256)^7, -E(256)^87, E(256)^39, E(256)^119, -E(256)^71, E(256)^23, E(256)^103, -E(256)^55, E(256)^55, -E(256)^103, -E(256)^23, E(256)^71, -E(256)^119, -E(256)^39, E(256)^87, E(256)^7, E(256)^79, E(256)^95, E(256)^111, E(256)^127, -E(256)^15, -E(256)^31, -E(256)^47, -E(256)^63, E(256)^63, E(256)^47, E(256)^31, E(256)^15, -E(256)^127, -E(256)^111, -E(256)^95, -E(256)^79, -E(256)^47, E(256)^31, -E(256)^15, -E(256)^127, E(256)^111, -E(256)^95, E(256)^79, -E(256)^63, E(256)^63, -E(256)^79, E(256)^95, -E(256)^111, E(256)^127, E(256)^15, -E(256)^31, E(256)^47, E(64)^15, E(64)^15, -E(64)^15, -E(64)^15, E(64)^31, E(64)^31, -E(64)^31, -E(64)^31, -E(64)^23, -E(64)^23, E(64)^23, E(64)^23, E(64)^7, E(64)^7, -E(64)^7, -E(64)^7, E(64)^15, -E(64)^15, E(64)^31, -E(64)^31, -E(64)^23, E(64)^23, E(64)^7, -E(64)^7, -E(64)^7, -E(64)^23, E(64)^23, E(64)^7, -E(192)^85, -E(192)^149, -E(192)^133, -E(192)^5, E(192)^133, E(192)^5, E(192)^85, E(192)^149, E(64)^31, -E(64)^15, E(64)^15, -E(64)^31, E(192)^157, E(192)^29, -E(192)^109, -E(192)^173, E(192)^109, E(192)^173, -E(192)^157, -E(192)^29, -E(64)^15, E(64)^31, -E(64)^31, E(64)^15, -E(192)^109, -E(192)^173, E(192)^157, E(192)^29, -E(192)^157, -E(192)^29, E(192)^109, E(192)^173, -E(64)^23, -E(64)^7, E(64)^7, E(64)^23, -E(192)^133, -E(192)^5, -E(192)^85, -E(192)^149, E(192)^85, E(192)^149, E(192)^133, E(192)^5, -E(16)^3, -E(16)^3, -E(48)^41, -E(48)^25, -E(48)^41, -E(48)^25, E(16)^3, E(16)^3, E(48)^41, E(48)^25, E(48)^41, E(48)^25, E(16)^7, E(16)^7, E(48)^5, E(48)^37, E(48)^5, E(48)^37, -E(16)^7, -E(16)^7, -E(48)^5, -E(48)^37, -E(48)^5, -E(48)^37, E(256)^23, -E(256)^103, -E(256)^55, -E(256)^7, E(256)^87, E(256)^39, -E(256)^119, -E(256)^71, E(256)^71, E(256)^119, -E(256)^39, -E(256)^87, E(256)^7, E(256)^55, E(256)^103, -E(256)^23, E(64)^7, E(64)^23, -E(64)^23, -E(64)^7, E(192)^85, E(192)^149, E(192)^133, E(192)^5, -E(192)^133, -E(192)^5, -E(192)^85, -E(192)^149, E(64)^31, -E(64)^15, E(64)^15, -E(64)^31, E(192)^157, E(192)^29, -E(192)^109, -E(192)^173, E(192)^109, E(192)^173, -E(192)^157, -E(192)^29 ]; return rec(S := S, T := T);;