VERY LARGE z-statistics in STATE SPACE

[eallanuy]

what are the implications of a very large z-statistics? are there any solutions?

Sspace: UNTITLED
Method: Maximum likelihood (Marquardt)
Sample: 1981Q1 2012Q4
Included observations: 128
Convergence achieved after 42 iterations

Coefficient Std. Error z-Statistic Prob.

C(1) 180.1497 6134.420 0.029367 0.9766
C(2) -6.877800 1.217257 -5.650245 0.0000
C(3) -15.96665 571.1658 -0.027954 0.9777
C(4) 0.938376 0.162960 5.758305 0.0000
C(5) 1.25E-07 0.000292 0.000427 0.9997
C(6) -17.27944 38977.32 -0.000443 0.9996

Final State Root MSE z-Statistic Prob.

TREND 273.0472 0.032268 8461.740 0.0000
GROWTH -180.1434 0.003284 -54860.63 0.0000
GAP -259.0990 0.000515 -502658.7 0.0000
GAPLAG -259.0990 0.000516 -502196.5 0.0000

Log likelihood 233.3490 Akaike info criterion -3.552329
Parameters 6 Schwarz criterion -3.418640
Diffuse priors 4 Hannan-Quinn criter. -3.498010