These are all the codes that can be entered at the card port machine unlocked by the Upsilon cube which can be found on Kollin 1 to the right of headquarters under the tree in the upper left by the museum or downloaded from the wi-fi downloads section for 1 point. The codes are entered in the form:

[1]----------------------[2]
----[A]--[B]--[C]--[D]----
----[E]--[F]--[G]--[H]----
----[ I ]--[J]--[K]--[L]----
[3]----------------------[4]

If you need help on where to tap...
A - The end of the upper left arrow
B - Above the word "the" on the first line of text
C - Above "port" of the word "portion" on the first line of text
D - The end of the upper right arrow
E - To the left of the first "the" on the second line of text
F - The letter "d" of the word "card" on the second line of text
G - The second "the" on the second line of text
H - The letter "s" of the word "arrows" on the second line of text
I - The end of the lower left arrow
J - Below the "T" of the word "Touch" on the third line of text
K - Below the "een" of the word "Screen" on the third line of text
L - The end of the lower right arrow

Note: Thanks to everyone on the board who helped compile this list and a special thanks to whoever it was who first came up with the system for displaying the codes.

Password - Effect

2134 DAL - Aobasat Apex
3412 HCI - Cyclone Geo (must beat game)
1243 AHE - Danaphant Tuska
4123 CHK - Danilob
2134 BGJ - Emerald Mineral
1243 BED - Grilden Biblad
3412 IDG - Grildragos Drafly
2134 AFJ - Gristar
1243 AHD - Hammer Geo (must beat game)
4123 EHI - Harumitey Lazos
3412 DAG - Ice Geo (must beat game)
1243 ECD - Inataflare Auger
1243 CHL - Inkalade
1243 KDA - Iota Cube
3412 DIF - Komainu
4123 HKA - Kugaster Sonara
2134 FIH - Mossax Jetspa (Custom Color 1)
1243 AFI - Naglub
2134 GHA - Plasma Geo (must beat game)
2134 LJE - Rho Cube
3412 BGK - Ruby Mineral
1243 KEH - Samukabu
2134 HDI - Samurite Voltar
1243 BFK - Sapphire Mineral
3412 GED - Segulos Propos
3412 CGL - Seguslice
4123 IHG - Shakor Bristle
3412 LIH - Sigma Cube
2143 DEI - Spiko
4123 HEB - Tau Cube
4123 IAH - Thunder Geo (must beat game)
4123 AEJ - Vilagrisp (Custom Part)
2134 JHI - Vilakroma
3412 HFE - Vilakroma (Custom Color 1)
4123 ACL - Vilakroma (Custom Color 2)
1243 ICL - Windora
4123 ADC - Windora (Custom Color 1)
3412 FLI - Windora (Custom Color 2)
2134 ELC - Windora Ortex
1243 ILD - Windora Ortex (Custom Color 1)
4123 ICD - Windora Ortex (Custom Color 2)
3412 LAK - Windora Sordina
2134 IKD - Windora Sordina (Custom Color 1)
1243 HAJ - Windora Sordina (Custom Color 2)
4123 IJL - Wing Geo (must beat game)