The solenoids on the valve body are your Fn and layer shift keys 

OK so it took an hour and a half, but I went through and doublechecked my traces-to-buttons colored lines, and here is the wiring of the stock board.  Items in (parenthesis) are going to be omitted, mostly the Favorite and Web keys.  Keys on the TenKey area are preceded by "TK".  
Please feel FREE to point it out if there is any key that isn't listed on both a TOP line and a BOTTOM line.  The TOP lines are on the top sheet of the matrix, the BOTTOM lines are on the bottom sheet of the matrix, and together they should have all keys duplicated exactly once.  The two digit number after Top or Bottom is the number of the contact on the controller, as numbered on my image.
Bottom  01 W
Bottom  02 LWin  V  1  F3
Bottom  03 Q
Bottom  04 Ctrl  Esc  (Mail)  4  Fav5  F6  Flock
Bottom  05 LAlt  2  (Search)  F4  3  Mute
Top 06  LAlt  RAlt  TK+  TK9  TK8  TK7  (TK( )  Home  End  Play  P  [  ]  \
Top 07  B  Caps  (Web)  (Search)  N  M  <  LeftArrow  DownArrow  RightArrow  TK0  TK.  FLock
Top 08  V  C  X  Z  Esc  F7  F8  F9  F10   F11  F12  CarriageRet  (TK<-)  Menu
Top 09  LWin  (Fav1, Fav2, Fav3, Fav4, Fav5, Fav*)  Y  U  I  oO  PrintScrn  ScroLock  NumLock TK/  TK*  TK-
Top 10  LShift  (Mail)  7  8  9  0)  RShift  Delete  PageUp  TK4  TK5  TK6  (TK) )
Top 11  Space  A  S  D  F  Q  W  E  R  T  Tab  F1  F2  F3  F4  F5  F6  Pause
Top 12  ~  1  2  3  4  5  6  J  K  L  >  ;  ?  -  +  Backspace  Insert
Top 13  LCtrl  G  H  RCtrl  "  UpArrow  TK1  TK2  TK3  TKEnter  (TK= )  Calc  PageDown  Volume+  Volume-  Mute
Top 14, Top 15, Top 16 (to zoom control)
Bottom  17  E
Bottom  18  R
Bottom  19  T
Bottom  20  ~  A  G  B  Y  7  F7  P
Bottom  21  S  N  H  U  8  F8  [  -
Bottom  22  D  M  I  9  "  ]  +  F9
Bottom  23  Space  Z  (Fav*)  Volume+  >  RAlt
Bottom  24  C  (Web)  F2  2  RCtrl
Bottom  25  F  5  0)  oO  <  F10  \
Bottom  26  LShift  3  F5  (Fav4)  Calc  CarriageRet
Bottom  27  X  F1  (Fav1)  Volume-  Play  RShift  ?
Bottom  28  6  LeftArrow  UpArrow  Delete  Home PrntScrn  F11  Tab
Bottom  29  J  DownArrow  End  PageDown  PageUp  ScrLock  F12  
Bottom  30  BackSpace  TK-  TK+  TKEnter  Caps
Bottom  31  Insert  Pause  (TK= )  (TK( ) (TK) )  (TK<- )
Bottom  32  ;  TK*  TK9  TK6  TK3  TK.
whoopsy I skipped 33 in the numbering!  I left it out here for consistency with my image
Bottom  34  K  Menu  RightArrow  TK1  TK4  TK7  NumLock
Bottom 35  L  TK/  TK8  TK5  TK2  TK0
...64...