GIV (G4) PLT MISREAD SID; WAS UNABLE TO FIND DEP CTL FREQ. WHEN RPTR ASKED FOR FREQ; TWR BECAME VERY UPSET.

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ON A LONG DUTY DAY DUE TO ACFT MECHANICAL PROBS. RECEIVED CLRNC FOR IFR FLT FROM SWF TO EWR. WE WERE GIVEN THE SWF 4 COMMON SID FOR OUR DEP. I ASKED THE PLT; WHO COPIED THE ATC CLRNC; IF WE WERE GIVEN A DEP FREQ. HE STATED NO; BUT THAT IT SHOULD BE ON THE SID PLATE. I FAMILIARIZED MYSELF WITH THE SID BUT DID NOT FIND THE DEP CTL FREQ. DURING ENG START AND TAXI FOR TKOF DID NOT LOCATE THE FREQ. AFTER TKOF WE WERE DIRECTED TO CONTACT DEP CTL AND I ASKED SWF TWR TO GIVE US THE FREQ. THE CTLR CAME BACK VERY EXCITED AND AGITATED AND SAID CONFIRM YOU ARE FLYING THE SWF 4 SID. I REPLIED AFFIRMATIVE AND THE CTLR SAID THE FREQ IS 132.75 PER THE PUBLISHED SID. WE CONTACTED DEP CTL AND COMPLETED OUR FLT TO EWR UNEVENTFULLY. I LATER LOOKED AT THE SID PLATE AGAIN AND THERE ON THE PLATE; WHERE IT ALWAYS IS; WAS THE DEP CTL FREQ. I WAS EMBARRASSED TO REALIZE I HAD OVERLOOKED SOMETHING SO BASIC AND OBVIOUS. THIS OCCURRENCE POINTS OUT VERY DEFINITELY THAT WHEN FATIGUE IS EVIDENT; AIR CREWS MUST BE VERY CAREFUL TO CHK AND DOUBLECHK EVERYTHING THEY DO.