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Your syntax for your function z is badly mangled. Perhaps this is what you want?
sage: z,t = var('z,t')
sage: z = 1/2*sqrt(14644013671875*(3.55214000000000e12*sqrt(t) + 1.97774000000000e13*t^(1/4))^3/(14644013671875*(3.55214000000000e12*sqrt(t) + 1.97774000000000e13*t^(1/4))^3 - 135618210615234381652297748904336450246503209398960128) - sqrt(214447136422061920166015625*(3.55214000000000e12*sqrt(t) + 1.97774000000000e13*t^(1/4))^6 + 3864549077638520528470870886005025216199885162842192609280000000000*(3.55214000000000e12*sqrt(t) + 1.97774000000000e13*t^(1/4))^3 - 54181888058488411888503596938295863676921476134912455624013826749306153335312612762848157900410211283238912)/(14644013671875*(3.55214000000000e12*sqrt(t) + 1.97774000000000e13*t^(1/4))^3 - 135618210615234381652297748904336450246503209398960128) - 135618210615234381652297748904336450246503209398960128/(5.20175867244141e25*sqrt(t) + 1.97774000000000e13*t^(1/4))^3 - 135618210615234381652297748904336450246503209398960128)
You had a lot of missing * operators and mismatched parentheses.
Assuming what I've posted is the correct function, the warning message from plot is because the values of this function on the interval [1, 6000] are non-real. For example:
sage: z(t=300)
1/2*sqrt(14644013671875*(3.55214000000000e13*sqrt(3) + 1.97774000000000e13*300^(1/4))^3/(14644013671875*(3.55214000000000e13*sqrt(3) + 1.97774000000000e13*300^(1/4))^3 - 135618210615234381652297748904336450246503209398960128) - sqrt(214447136422061920166015625*(3.55214000000000e13*sqrt(3) + 1.97774000000000e13*300^(1/4))^6 + 3864549077638520528470870886005025216199885162842192609280000000000*(3.55214000000000e13*sqrt(3) + 1.97774000000000e13*300^(1/4))^3 - 54181888058488411888503596938295863676921476134912455624013826749306153335312612762848157900410211283238912)/(14644013671875*(3.55214000000000e13*sqrt(3) + 1.97774000000000e13*300^(1/4))^3 - 135618210615234381652297748904336450246503209398960128) - 135618210615234381652297748904336450246503209398960128/(5.20175867244141e26*sqrt(3) + 1.97774000000000e13*300^(1/4))^3 - 135618210615234381652297748904336450246503209398960128)
sage: z(t=300).n()
1.12748264420482e10 + 1.84131889290825e26*I
So you may have the wrong function if you expect to be able to plot it on that interval.
