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k1 = {{{1, 1}, {1, 1}}, {}} ; k11 = {{{1, 1}}, {{0, 1}}}; g = (1 + 10^(15/10)); out = Abs[Hfunction[k1, k11, g, 2000] ]; Print[out]; (** gives 3.5152 **) (**************) and N[Log[1 + 10^(15/10)]] (** gives 3.48501 **)