The effective form of Chebotarev's density theory becomes much weaker without GRH. Take "L" to be a finite Galois extension of "Q" with Galois group "G" and degree "d". Take formula_9 to be a nontrivial irreducible representation of "G" of degree "n", and take formula_10 to be the Artin conductor of this representation. Suppose that, for formula_11 a subrepresentation of formula_12 or formula_13, formula_14 is entire; that is, the Artin conjecture is satisfied for all formula_11. Take formula_16 to be the character associated to formula_9. Then there is an absolute positive formula_18 such that, for formula_19,