local S, T;
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1/30*E(45)^7+1/30*E(45)^28+1/30*E(45)^37+1/30*E(45)^43, -1/15*E(9)^2, -1/30*E(45)-1/30*E(45)^19, -1/30*E(45)^28-1/30*E(45)^37, -1/30*E(45)^28-1/30*E(45)^37, -1/15*E(9)^5, -1/30*E(45)^16-1/30*E(45)^34, -1/30*E(45)^7-1/30*E(45)^43, -1/30*E(45)^7-1/30*E(45)^43, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/30*E(45)^2-1/30*E(45)^8-1/30*E(45)^17-1/30*E(45)^38, 1/30*E(45)^2+1/30*E(45)^38, 1/30*E(45)^8+1/30*E(45)^17, -1/30*E(45)^2-1/30*E(45)^8-1/30*E(45)^17-1/30*E(45)^38, -1/30*E(45)^11-1/30*E(45)^26-1/30*E(45)^29-1/30*E(45)^44, -1/15*E(9)^4-1/15*E(9)^7, -1/30*E(45)^11-1/30*E(45)^26-1/30*E(45)^29-1/30*E(45)^44, 1/30*E(45)^2+1/30*E(45)^38, 1/30*E(45)^11+1/30*E(45)^29, 1/15*E(9)^4, 1/30*E(45)^11+1/30*E(45)^29, 1/30*E(45)^8+1/30*E(45)^17, 1/30*E(45)^26+1/30*E(45)^44, 1/15*E(9)^7, 1/30*E(45)^26+1/30*E(45)^44, 1/30*E(45)^2+1/30*E(45)^8+1/30*E(45)^17+1/30*E(45)^38, -1/30*E(45)^2-1/30*E(45)^38, -1/30*E(45)^8-1/30*E(45)^17, 1/30*E(45)^2+1/30*E(45)^8+1/30*E(45)^17+1/30*E(45)^38, 1/30*E(45)^11+1/30*E(45)^26+1/30*E(45)^29+1/30*E(45)^44, 1/15*E(9)^4+1/15*E(9)^7, 1/30*E(45)^11+1/30*E(45)^26+1/30*E(45)^29+1/30*E(45)^44, -1/30*E(45)^2-1/30*E(45)^38, -1/30*E(45)^11-1/30*E(45)^29, -1/15*E(9)^4, -1/30*E(45)^11-1/30*E(45)^29, -1/30*E(45)^8-1/30*E(45)^17, -1/30*E(45)^26-1/30*E(45)^44, -1/15*E(9)^7, -1/30*E(45)^26-1/30*E(45)^44, -1/30*E(45)-1/30*E(45)^16-1/30*E(45)^19-1/30*E(45)^34, 1/30*E(45)+1/30*E(45)^19, 1/30*E(45)^16+1/30*E(45)^34, -1/15*E(9)^2-1/15*E(9)^5, -1/30*E(45)-1/30*E(45)^16-1/30*E(45)^19-1/30*E(45)^34, -1/30*E(45)^7-1/30*E(45)^28-1/30*E(45)^37-1/30*E(45)^43, -1/30*E(45)^7-1/30*E(45)^28-1/30*E(45)^37-1/30*E(45)^43, 1/15*E(9)^2, 1/30*E(45)+1/30*E(45)^19, 1/30*E(45)^28+1/30*E(45)^37, 1/30*E(45)^28+1/30*E(45)^37, 1/15*E(9)^5, 1/30*E(45)^16+1/30*E(45)^34, 1/30*E(45)^7+1/30*E(45)^43, 1/30*E(45)^7+1/30*E(45)^43, 1/30*E(45)+1/30*E(45)^16+1/30*E(45)^19+1/30*E(45)^34, -1/30*E(45)-1/30*E(45)^19, -1/30*E(45)^16-1/30*E(45)^34, 1/15*E(9)^2+1/15*E(9)^5, 1/30*E(45)+1/30*E(45)^16+1/30*E(45)^19+1/30*E(45)^34, 1/30*E(45)^7+1/30*E(45)^28+1/30*E(45)^37+1/30*E(45)^43, 1/30*E(45)^7+1/30*E(45)^28+1/30*E(45)^37+1/30*E(45)^43, -1/15*E(9)^2, -1/30*E(45)-1/30*E(45)^19, -1/30*E(45)^28-1/30*E(45)^37, -1/30*E(45)^28-1/30*E(45)^37, -1/15*E(9)^5, -1/30*E(45)^16-1/30*E(45)^34, -1/30*E(45)^7-1/30*E(45)^43, -1/30*E(45)^7-1/30*E(45)^43, 1/30*E(45)^11+1/30*E(45)^26+1/30*E(45)^29+1/30*E(45)^44, -1/30*E(45)^11-1/30*E(45)^29, -1/30*E(45)^26-1/30*E(45)^44, 1/15*E(9)^4+1/15*E(9)^7, 1/30*E(45)^11+1/30*E(45)^26+1/30*E(45)^29+1/30*E(45)^44, 1/30*E(45)^2+1/30*E(45)^8+1/30*E(45)^17+1/30*E(45)^38, 1/30*E(45)^2+1/30*E(45)^8+1/30*E(45)^17+1/30*E(45)^38, -1/15*E(9)^4, -1/30*E(45)^11-1/30*E(45)^29, -1/30*E(45)^2-1/30*E(45)^38, -1/30*E(45)^2-1/30*E(45)^38, -1/15*E(9)^7, -1/30*E(45)^26-1/30*E(45)^44, -1/30*E(45)^8-1/30*E(45)^17, -1/30*E(45)^8-1/30*E(45)^17, -1/30*E(45)^11-1/30*E(45)^26-1/30*E(45)^29-1/30*E(45)^44, 1/30*E(45)^11+1/30*E(45)^29, 1/30*E(45)^26+1/30*E(45)^44, -1/15*E(9)^4-1/15*E(9)^7, -1/30*E(45)^11-1/30*E(45)^26-1/30*E(45)^29-1/30*E(45)^44, -1/30*E(45)^2-1/30*E(45)^8-1/30*E(45)^17-1/30*E(45)^38, -1/30*E(45)^2-1/30*E(45)^8-1/30*E(45)^17-1/30*E(45)^38, 1/15*E(9)^4, 1/30*E(45)^11+1/30*E(45)^29, 1/30*E(45)^2+1/30*E(45)^38, 1/30*E(45)^2+1/30*E(45)^38, 1/15*E(9)^7, 1/30*E(45)^26+1/30*E(45)^44, 1/30*E(45)^8+1/30*E(45)^17, 1/30*E(45)^8+1/30*E(45)^17, 1/30*E(45)^11+1/30*E(45)^26+1/30*E(45)^29+1/30*E(45)^44, -1/30*E(45)^11-1/30*E(45)^29, -1/30*E(45)^26-1/30*E(45)^44, 1/15*E(9)^4+1/15*E(9)^7, 1/30*E(45)^11+1/30*E(45)^26+1/30*E(45)^29+1/30*E(45)^44, 1/30*E(45)^2+1/30*E(45)^8+1/30*E(45)^17+1/30*E(45)^38, 1/30*E(45)^2+1/30*E(45)^8+1/30*E(45)^17+1/30*E(45)^38, -1/15*E(9)^4, -1/30*E(45)^11-1/30*E(45)^29, -1/30*E(45)^2-1/30*E(45)^38, -1/30*E(45)^2-1/30*E(45)^38, -1/15*E(9)^7, -1/30*E(45)^26-1/30*E(45)^44, -1/30*E(45)^8-1/30*E(45)^17, -1/30*E(45)^8-1/30*E(45)^17, -1/30*E(45)^11-1/30*E(45)^26-1/30*E(45)^29-1/30*E(45)^44, 1/30*E(45)^11+1/30*E(45)^29, 1/30*E(45)^26+1/30*E(45)^44, -1/15*E(9)^4-1/15*E(9)^7, -1/30*E(45)^11-1/30*E(45)^26-1/30*E(45)^29-1/30*E(45)^44, -1/30*E(45)^2-1/30*E(45)^8-1/30*E(45)^17-1/30*E(45)^38, -1/30*E(45)^2-1/30*E(45)^8-1/30*E(45)^17-1/30*E(45)^38, 1/15*E(9)^4, 1/30*E(45)^11+1/30*E(45)^29, 1/30*E(45)^2+1/30*E(45)^38, 1/30*E(45)^2+1/30*E(45)^38, 1/15*E(9)^7, 1/30*E(45)^26+1/30*E(45)^44, 1/30*E(45)^8+1/30*E(45)^17, 1/30*E(45)^8+1/30*E(45)^17 ]];
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, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -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(9)^7, -E(9)^4-E(9)^7, E(9)^4, E(9)^7, -E(9)^4-E(9)^7, E(9)^4, E(9)^7, -E(9)^4-E(9)^7, E(9)^4, E(9)^7, -E(9)^4-E(9)^7, E(9)^4, E(9)^7, -E(9)^4-E(9)^7, E(9)^4, E(9)^7, -E(9)^4-E(9)^7, E(9)^4, E(9)^7, -E(9)^4-E(9)^7, E(9)^4, E(9)^7, -E(9)^4-E(9)^7, E(9)^4, 1, E(5), E(5)^2, E(5)^3, E(5)^4, 1, E(5), E(5)^2, E(5)^3, E(5)^4, 1, E(5), E(5)^2, E(5)^3, E(5)^4, 1, E(5), E(5)^2, E(5)^3, E(5)^4, 1, E(5), E(5)^2, E(5)^3, E(5)^4, 1, E(5), E(5)^2, E(5)^3, E(5)^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(9)^4-E(9)^7, E(9)^7, E(9)^4, E(9)^4+E(9)^7, -E(9)^7, -E(9)^4, -E(9)^4-E(9)^7, E(9)^7, E(9)^4, E(9)^4+E(9)^7, -E(9)^7, -E(9)^4, E(9)^4+E(9)^7, -E(9)^7, -E(9)^4, E(9)^4+E(9)^7, -E(9)^7, -E(9)^4, -E(9)^4-E(9)^7, E(9)^7, E(9)^4, -E(9)^4-E(9)^7, E(9)^7, E(9)^4, E(9)^7, E(9)^4, -E(9)^4-E(9)^7, E(9)^7, E(9)^4, -E(9)^4-E(9)^7, -E(9)^7, -E(9)^4, E(9)^4+E(9)^7, -E(9)^7, -E(9)^4, E(9)^4+E(9)^7, 1, E(5), E(5)^2, E(5)^3, E(5)^4, 1, E(5), E(5)^2, E(5)^3, E(5)^4, 1, E(5), E(5)^2, E(5)^3, E(5)^4, -1, -E(5), -E(5)^2, -E(5)^3, -E(5)^4, -1, -E(5), -E(5)^2, -E(5)^3, -E(5)^4, -1, -E(5), -E(5)^2, -E(5)^3, -E(5)^4, E(9)^7, E(9)^4, -E(9)^4-E(9)^7, E(9)^7, E(9)^4, -E(9)^4-E(9)^7, E(9)^7, E(9)^4, -E(9)^4-E(9)^7, E(9)^7, E(9)^4, -E(9)^4-E(9)^7, E(9)^4, -E(9)^4-E(9)^7, E(9)^7, E(9)^4, -E(9)^4-E(9)^7, E(9)^7, E(9)^4, -E(9)^4-E(9)^7, E(9)^7, E(9)^4, -E(9)^4-E(9)^7, E(9)^7, E(9)^7, -E(9)^4-E(9)^7, E(9)^4, E(45)^8, E(45)^26, E(45)^44, E(45)^17, -E(45)^8-E(45)^38, -E(45)^11-E(45)^26, -E(45)^29-E(45)^44, -E(45)^2-E(45)^17, E(45)^38, E(45)^11, E(45)^29, E(45)^2, E(9)^7, -E(9)^4-E(9)^7, E(9)^4, E(45)^8, E(45)^26, E(45)^44, E(45)^17, -E(45)^8-E(45)^38, -E(45)^11-E(45)^26, -E(45)^29-E(45)^44, -E(45)^2-E(45)^17, E(45)^38, E(45)^11, E(45)^29, E(45)^2, 1, E(5)^2, E(5)^4, E(5), E(5)^3, 1, E(5)^2, E(5)^4, E(5), E(5)^3, 1, E(5)^2, E(5)^4, E(5), E(5)^3, 1, E(5)^2, E(5)^4, E(5), E(5)^3, 1, E(5)^2, E(5)^4, E(5), E(5)^3, 1, E(5)^2, E(5)^4, E(5), E(5)^3, -E(36)^25, E(36)+E(36)^25, -E(36), E(36)^25, -E(36)-E(36)^25, E(36), E(36)^25, -E(36)-E(36)^25, E(36), -E(36)^25, E(36)+E(36)^25, -E(36), E(9)^4, E(9)^7, -E(9)^4-E(9)^7, -E(9)^4, -E(9)^7, E(9)^4+E(9)^7, E(9)^4, E(9)^7, -E(9)^4-E(9)^7, -E(9)^4, -E(9)^7, E(9)^4+E(9)^7, E(9)^4+E(9)^7, -E(9)^4, -E(9)^7, E(9)^4+E(9)^7, -E(9)^4, -E(9)^7, -E(9)^4-E(9)^7, E(9)^4, E(9)^7, -E(9)^4-E(9)^7, E(9)^4, E(9)^7, -E(9)^4-E(9)^7, E(9)^4, E(9)^7, -E(9)^4-E(9)^7, E(9)^4, E(9)^7, E(9)^4+E(9)^7, -E(9)^4, -E(9)^7, E(9)^4+E(9)^7, -E(9)^4, -E(9)^7, E(9)^7, -E(9)^4-E(9)^7, E(9)^4, E(45)^8, E(45)^26, E(45)^44, E(45)^17, -E(45)^8-E(45)^38, -E(45)^11-E(45)^26, -E(45)^29-E(45)^44, -E(45)^2-E(45)^17, E(45)^38, E(45)^11, E(45)^29, E(45)^2, -E(9)^7, E(9)^4+E(9)^7, -E(9)^4, -E(45)^8, -E(45)^26, -E(45)^44, -E(45)^17, E(45)^8+E(45)^38, E(45)^11+E(45)^26, E(45)^29+E(45)^44, E(45)^2+E(45)^17, -E(45)^38, -E(45)^11, -E(45)^29, -E(45)^2, 1, E(5)^2, E(5)^4, E(5), E(5)^3, 1, E(5)^2, E(5)^4, E(5), E(5)^3, 1, E(5)^2, E(5)^4, E(5), E(5)^3, -1, -E(5)^2, -E(5)^4, -E(5), -E(5)^3, -1, -E(5)^2, -E(5)^4, -E(5), -E(5)^3, -1, -E(5)^2, -E(5)^4, -E(5), -E(5)^3, E(9)^7, E(9)^4, -E(9)^4-E(9)^7, E(45)^8, E(45)^26, E(45)^44, E(45)^17, E(45)^38, E(45)^11, E(45)^29, E(45)^2, -E(45)^8-E(45)^38, -E(45)^11-E(45)^26, -E(45)^29-E(45)^44, -E(45)^2-E(45)^17, E(9)^7, E(9)^4, -E(9)^4-E(9)^7, E(45)^8, E(45)^26, E(45)^44, E(45)^17, E(45)^38, E(45)^11, E(45)^29, E(45)^2, -E(45)^8-E(45)^38, -E(45)^11-E(45)^26, -E(45)^29-E(45)^44, -E(45)^2-E(45)^17, E(9)^7, -E(9)^4-E(9)^7, E(9)^4, E(45)^26, E(45)^17, E(45)^8, E(45)^44, -E(45)^11-E(45)^26, -E(45)^2-E(45)^17, -E(45)^8-E(45)^38, -E(45)^29-E(45)^44, E(45)^11, E(45)^2, E(45)^38, E(45)^29, E(9)^7, -E(9)^4-E(9)^7, E(9)^4, E(45)^26, E(45)^17, E(45)^8, E(45)^44, -E(45)^11-E(45)^26, -E(45)^2-E(45)^17, -E(45)^8-E(45)^38, -E(45)^29-E(45)^44, E(45)^11, E(45)^2, E(45)^38, E(45)^29, E(36)^25, E(36), -E(36)-E(36)^25, -E(36)^25, -E(36), E(36)+E(36)^25, -E(36)^25, -E(36), E(36)+E(36)^25, E(36)^25, E(36), -E(36)-E(36)^25, E(9)^7, E(9)^4, -E(9)^4-E(9)^7, E(45)^8, E(45)^26, E(45)^44, E(45)^17, E(45)^38, E(45)^11, E(45)^29, E(45)^2, -E(45)^8-E(45)^38, -E(45)^11-E(45)^26, -E(45)^29-E(45)^44, -E(45)^2-E(45)^17, -E(9)^7, -E(9)^4, E(9)^4+E(9)^7, -E(45)^8, -E(45)^26, -E(45)^44, -E(45)^17, -E(45)^38, -E(45)^11, -E(45)^29, -E(45)^2, E(45)^8+E(45)^38, E(45)^11+E(45)^26, E(45)^29+E(45)^44, E(45)^2+E(45)^17, E(9)^7, -E(9)^4-E(9)^7, E(9)^4, E(45)^26, E(45)^17, E(45)^8, E(45)^44, -E(45)^11-E(45)^26, -E(45)^2-E(45)^17, -E(45)^8-E(45)^38, -E(45)^29-E(45)^44, E(45)^11, E(45)^2, E(45)^38, E(45)^29, -E(9)^7, E(9)^4+E(9)^7, -E(9)^4, -E(45)^26, -E(45)^17, -E(45)^8, -E(45)^44, E(45)^11+E(45)^26, E(45)^2+E(45)^17, E(45)^8+E(45)^38, E(45)^29+E(45)^44, -E(45)^11, -E(45)^2, -E(45)^38, -E(45)^29, E(9)^7, E(9)^4, -E(9)^4-E(9)^7, E(45)^26, E(45)^17, E(45)^8, E(45)^44, E(45)^11, E(45)^2, E(45)^38, E(45)^29, -E(45)^11-E(45)^26, -E(45)^2-E(45)^17, -E(45)^8-E(45)^38, -E(45)^29-E(45)^44, E(9)^7, E(9)^4, -E(9)^4-E(9)^7, E(45)^26, E(45)^17, E(45)^8, E(45)^44, E(45)^11, E(45)^2, E(45)^38, E(45)^29, -E(45)^11-E(45)^26, -E(45)^2-E(45)^17, -E(45)^8-E(45)^38, -E(45)^29-E(45)^44, -E(9)^7, -E(9)^4, E(9)^4+E(9)^7, -E(45)^26, -E(45)^17, -E(45)^8, -E(45)^44, -E(45)^11, -E(45)^2, -E(45)^38, -E(45)^29, E(45)^11+E(45)^26, E(45)^2+E(45)^17, E(45)^8+E(45)^38, E(45)^29+E(45)^44, E(9)^7, E(9)^4, -E(9)^4-E(9)^7, E(45)^26, E(45)^17, E(45)^8, E(45)^44, E(45)^11, E(45)^2, E(45)^38, E(45)^29, -E(45)^11-E(45)^26, -E(45)^2-E(45)^17, -E(45)^8-E(45)^38, -E(45)^29-E(45)^44 ];
return rec(S := S, T := T);;