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We give an explicit construction of linearly independent families of knotsarbitrarily deep in the (n)-solvable filtration of the knot concordance groupusing the \rho^1-invariant. A difference between previous constructions ofinfinite rank subgroups in the concordance group and ours is that the deepestinfecting knots in the construction we present are allowed to have vanishingTristram-Levine signatures.

Linear Independence of Knots Arising from Iterated Infection Without the Use of Tristram Levine Signatures