Residue Ledger

The Meridian Institute says the missing notebook was moved through the evidence vault normally. A transfer ledger was recovered from a workstation near the vault, but the checksum column looks suspicious.

The lab's old Standard Operating Procedure gives the validation rule:

check = (7*a + 11*b + 13*c) mod 97

Find the forged ledger line. The flag is the forged case_id, exactly as written in the file.

Provided file: transfer_ledger.7z

The ledger has 500,000 rows with the columns case_id,a,b,c,check, where a, b, and c are integers up to 128 bits. Header and sample rows:

case_id,a,b,c,check
mdf-0000000,221501524372946351836437432738253327844,182351197513746578273739114804114390992,19736010804797531942193507775890909201,28
mdf-0000001,12759113104481609269382921908438326676,23770569487636332224155707499473838938,144456394853936746604761997031784584996,66

Exactly one row's check violates the SOP rule.