On the Subject of The Affine Cycle

Ah shift, here we go again.

This module consists of a screen, eight dials with yellow labels, and a QWERTY keyboard.

The labels on the dials, when decrypted and read from left to right, spell out an eight letter word.

The number N, for each dial, is the number of 45° clockwise rotations from north to the direction the dial is pointing.
(This number is between 0 and 7.)

The alphabetic position of each letter is multiplied by 2N+1.
The resulting product has 26 subtracted from it until it falls within the range [1,26].
The final number is the alphabetic position of the encrypted letter.

Once deciphered, find the word in the table below, the word written below it is the word that should be entered.

Apply the same encryption to the response word, and type out the encrypted response word using the keys.

The word is automatically submitted when eight keys are pressed.

The red button can be pressed at any time before the eighth key is pressed to cancel the input.

Inputting any of the eight letters incorrectly will cause a strike to be issued and reset the module.

Keyword Table

ADVANCEDADDITIONALLOCATEALLOTTEDBINARIESBILLIONSBULKHEADBULWARKS
UNDERRUNHAZARDEDENTRANCEULTIMATEWINGDINGYEASAYERYIELDERSJIGSAWED

CIPHEREDCIRCUITSCOMPUTERCOMPILERDECRYPTSDIVISIONDISCOVERDISCRETE
JUNCTUREJUNCTIONLINEARLYVICINITYOCTANGLEJIMMYINGTRIGGERSILLUDING

ENCIPHERENTRANCEEQUATIONEQUALISEFINISHEDFINDINGSFORTRESSFORTUNES
BULKHEADBULWARKSTRIANGLEFORTUNESHUNGRIERROTATIONPOSITIONWINNABLE

GAUNTLETGAMBLINGGATHEREDGATEWAYSHAZARDEDHAZINESSHUNKEREDHUNGRIER
REVERSEDULTRAHOTQUADRICSOCTUPLESZIPPEREDRELATIVEKILOWATTBILLIONS

INDICATEINDIGOESILLUSIONILLUDINGJIGSAWEDJIMMYINGJUNCTIONJUNCTURE
STOPPINGPROJECTSQUITTERSFORTRESSNUMERATEVOLUMINGDISCRETEZUGZWANG

KILOWATTKINETICSKNOCKOUTKNOWABLELIMITINGLINEARLYLINKAGESLINGERED
STOCCATAFINISHEDMULTIPLYENCIPHERMONOTONECOMPILERQUICKESTMULCTING

MONOGRAMMONOTONEMULTIPLYMULCTINGNANOGRAMNANOTUBENUMBEREDNUMERATE
LIMITINGNUMBEREDADDITIONYOURSELFDISCOVERDECRYPTSZIGZAGGYSTARTING

OCTANGLEOCTUPLESOBSERVEDOBSTACLEPROGRESSPROJECTSPOSITIONPOSITRON
KINETICSKNOCKOUTPROGRESSNANOGRAMGAMBLINGQUADRANTREVOLVEDDIVISION

QUADRANTQUADRICSQUICKESTQUITTERSREVERSEDREVOLVEDROTATIONRELATIVE
NANOTUBETOMOGRAMVOLTAGESCIPHEREDHAZINESSHUNKEREDMONOGRAMFINDINGS

STARTINGSTANDARDSTOPPINGSTOCCATATRIGGERSTRIANGLETOMOGRAMTOMORROW
STANDARDUNDERLIEOBSERVEDGAUNTLETALLOCATEOBSTACLEPOSITRONADVANCED

UNDERRUNUNDERLIEULTIMATEULTRAHOTVICINITYVICELESSVOLTAGESVOLUMING
EQUALISEVICELESSGATEWAYSLINKAGESINDICATEKNOWABLEILLUSIONLINGERED

WINGDINGWINNABLEWHATEVERWHATSITSYELLOWEDYEASAYERYIELDERSYOURSELF
GATHEREDEQUATIONZYMOGENEBINARIESINDIGOESALLOTTEDWHATSITSTOMORROW

ZIPPEREDZIGZAGGYZUGZWANGZYMOGENE
WHATEVERYELLOWEDCOMPUTERCIRCUITS