Failure or success Riemann zeta zeros

(*Mathematica 8 start*)Clear[n, k, t, z, FL, NZ]
Print["Set this number kk to 128 and you will get an error message in \
the integration:"]
kk = 240
nn = kk + 1;
FL[n_] = 2*Pi*Exp[1]*Exp[ProductLog[(n - 11/8)/Exp[1]]];
NZ[t_] = RiemannSiegelTheta[t]/Pi + Im[Log[Zeta[1/2 + I*t]] + I*Pi]/Pi;
Monitor[b = -N[
     Table[1 +
       2*Sum[(NZ[FL[k + 1]] - 1) - (NZ[FL[k]] - 1) - 1, {k, 1,
          n}], {n, 0, nn}]];, n]
Print["This is what causes the first error:"]
Plot[NZ[t], {t, 278, 285}]
Print["Counts from 1 to 59"]
Monitor[ii =
   Table[If[k == 1,
     N[Im[ZetaZero[1]]], (FL[k] + FL[k + (b[[k]] - 1)/2 + 1])/
       2 + ((FL[k] + FL[k + (b[[k]] - 1)/2 + 1])/
         2 - ((FL[k + (b[[k]] - 1)/2] + FL[k])/2)) -
      NIntegrate[
       1 + (1 - k) +
        NZ[t], {t, (FL[k + (b[[k]] - 1)/2] + FL[k])/
         2, (FL[k] + FL[k + (b[[k]] - 1)/2 + 1])/2},
       Exclusions -> {t == Im[ZetaZero[k]]},
       Method -> "PrincipalValue"]], {k, 1, kk}], k];
Print["The program output:"]
ii;
Print["The program output minus the actual zeta zeros:"]
Round[(ii - Table[Im[ZetaZero[n]], {n, 1, kk}])*10^7]/10^7 + Range[kk]
Print["The rounded program output:"]
Round[ii];
(*end*)

(*start*)

failureOrSuccess = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15,
    16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31,
   32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48,
    49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64,
   65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81,
    82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97,
   98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111,
    112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124,
   125, 126, 634946639/5000000, 1279899409/10000000, 129, 130, 131,
   132, 133, 134, 1350103957/10000000, 340025991/2500000, 137, 138,
   139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151,
   152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164,
   165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177,
   178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190,
   191, 192, 193, 194, 195, 244989957/1250000, 197, 198, 199, 200,
   201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 2121461271/
   10000000, 2131461077/10000000, 214, 215, 216, 217, 218, 219, 220,
   221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232,
   2329450127/10000000, 233945087/1000000, 235, 236, 237, 238, 239,
   240};

f[p_, n_] =
 Zeta[1/2 + I*(1 - p)*Im[ZetaZero[n - 1]] + I*p*Im[ZetaZero[n]]]
Monitor[a =
  Table[{failureOrSuccess[[n]],
    Plot[Arg[Zeta[1/2 + I*t]], {t, Im[ZetaZero[n]] - 5,
      Im[ZetaZero[n]] + 5}],
    ParametricPlot[{Re[f[p, n]], Im[f[p, n]]}, {p, 0, 1}]}, {n, 2,
    240}], n]
b = Table[
   ParametricPlot[{Re[f[p, n]], Im[f[p, n]]}, {p, 0, 1}], {n, 2, 240}];
Show[b, PlotRange -> All]
(*end*)