A CL604 CREW MISPROGRAMMED THE SEA MOUNTAIN 5 SID IN THE FMS AND TURNED EARLY REQUIRING ATC TO ISSUE AN ALT RESTR THAT THE CREW ALSO MISSED.

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ERROR: NOT COMPLYING WITH SID; MOUNTAIN 5. CLRNC: CLRED TO ZZZ VIA THE MOUNTAIN 5 DEP J90 MWH CLB TO 9000 FT EXPECT FL390 AFTER 15 NM. WHAT HAPPENED: WE DEPARTED RWY 16L PERFORMANCE CLB TO 3000 FT THEN L TURN TO 070 DEG HDG. THE CTLR THEN QUESTIONED OUR INTENTIONS. AT THAT POINT WE THOUGHT WE HAD COMPLIED WITH THE SID SO WE QUERIED THE CTLR. THE CTLR THEN ISSUED AN ALT RESTR OF 6000 FT AS WE WERE CLBING TO 9000 FT. AS THE CREW ANALYZED THE NAV PROB; ALT AWARENESS WAS LOST AND WE CLBED TO 6600 FT. WHAT CAUSED THE PROB: THE FMS WAS MIS-PROGRAMMED. THE FIX S OF THE ARPT WAS PROGRAMMED AS SEA INSTEAD OF THE CORRECT NICHY WAYPOINT. SO THE CREW THOUGHT THEY HAD REACHED THE WAYPOINT; CAUSING THE EARLY TURN. CONTRIBUTING FACTORS: 1) MOUNTAIN 5 NOT IN FMS DATABASE. 2) CLRNC 'MOUNTAIN 5 J90;' AS SEA IS RTE STRUCTURE FOR J90; SEA J90 MWH LOOKED LIKE A CORRECT ENTRY IN THE FMS. CLRNC SHOULD HAVE BEEN; MOUNTAIN 5 RADAR VECTOR TO JOINT J90. 3) PLT NOT PROGRAMMING THE FMS PROPERLY IS THE FINAL CAUSE. CORRECTION ACTIONS: CREW REVIEWED THE SID AND DISCUSSED HOW THIS TYPE OF ERROR CAN BE AVOIDED. SOLUTIONS WERE TO VERIFY FMS PROGRAMMING BY BOTH PLTS OF DEP AND AGAINST THE SID. AND TO USE GND BASED NAV AS A BACKUP TO THE FMS COURSE.