Finite Group Databasebeta

← Group #13057099

Character table — Group #13057099

Order 1344.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88
size11112222222222223333666666666666888812121212121212121212121212121212121212121212121212121212141416161616161616161616161642425656565684848484
order12227771414141414141414142222141414141414141414141414366644442828282828282828282828282828282828282828282828284421212142424242424242424244121212124444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111
χ51-11-1111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11-1-11i−ii−iiiiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−i1-1111111-1-1-1-1-1-11-111-1-1i−ii−i
χ61-11-1111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11-1-11i−ii−iiiiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−i-11111111-1-1-1-1-1-1-11-1-111−ii−ii
χ71-11-1111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11-1-11−ii−ii−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiiiiii1-1111111-1-1-1-1-1-11-111-1-1−ii−ii
χ81-11-1111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11-1-11−ii−ii−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiiiiii-11111111-1-1-1-1-1-1-11-1-111i−ii−i
χ922222222222222222222222222222222-1-1-1-1000000000000000000000000000022-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-10000
χ1022222222222222222222222222222222-1-1-1-10000000000000000000000000000-2-2-1-1-1-1-1-1-1-1-1-1-1-1-2-211110000
χ112222ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ742222ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ7422222222ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ7400ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ740000000000
χ122222ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ742222ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ742222-2-2-2-2−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ7400ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ740000000000
χ132222ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ822222ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ8222222222ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ8200ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ820000000000
χ142222ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ822222ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ822222-2-2-2-2−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ8200ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ820000000000
χ152222ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ622222ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ6222222222ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ6200ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ620000000000
χ162222ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ622222ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ622222-2-2-2-2−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ6200ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ620000000000
χ1722-2-2222-2-2-2222-2-2-22-22-22-22-22-2222-2-2-222-2-2000000000000000000000000000000222-2-2-22-22-22-20000000000
χ1822-2-2222-2-2-2222-2-2-22-22-22-22-22-2222-2-2-2-1-111000000000000000000000000000000-1-1-1111-11-11-11003−33−30000
χ1922-2-2222-2-2-2222-2-2-22-22-22-22-22-2222-2-2-2-1-111000000000000000000000000000000-1-1-1111-11-11-1100−33−330000
χ2022-2-2ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ742-22-2ζ2+ζ26+ζ58+ζ82−ζ2−ζ26−ζ58−ζ82ζ22+ζ34+ζ50+ζ62−ζ22−ζ34−ζ50−ζ62ζ10+ζ38+ζ46+ζ74−ζ10−ζ38−ζ46−ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ7422-2-20000−ζ19+ζ23−ζ47+ζ79ζ19−ζ23+ζ47−ζ79ζ43−ζ55+ζ71−ζ83−ζ43+ζ55−ζ71+ζ83ζ11−ζ31−ζ59+ζ67−ζ11+ζ31+ζ59−ζ67−ζ19+ζ23−ζ47+ζ79ζ19−ζ23+ζ47−ζ79ζ43−ζ55+ζ71−ζ83−ζ43+ζ55−ζ71+ζ83ζ11−ζ31−ζ59+ζ67−ζ11+ζ31+ζ59−ζ67−ζ19+ζ23−ζ47+ζ79ζ19−ζ23+ζ47−ζ79ζ43−ζ55+ζ71−ζ83−ζ43+ζ55−ζ71+ζ83ζ11−ζ31−ζ59+ζ67−ζ11+ζ31+ζ59−ζ67−ζ19+ζ23−ζ47+ζ79ζ19−ζ23+ζ47−ζ79ζ43−ζ55+ζ71−ζ83−ζ43+ζ55−ζ71+ζ83ζ11−ζ31−ζ59+ζ67−ζ11+ζ31+ζ59−ζ6700ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74ζ2+ζ26+ζ58+ζ82−ζ2−ζ26−ζ58−ζ82ζ22+ζ34+ζ50+ζ62−ζ22−ζ34−ζ50−ζ62ζ10+ζ38+ζ46+ζ74−ζ10−ζ38−ζ46−ζ740000000000
χ2122-2-2ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ742-22-2ζ2+ζ26+ζ58+ζ82−ζ2−ζ26−ζ58−ζ82ζ22+ζ34+ζ50+ζ62−ζ22−ζ34−ζ50−ζ62ζ10+ζ38+ζ46+ζ74−ζ10−ζ38−ζ46−ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ7422-2-20000ζ19−ζ23+ζ47−ζ79−ζ19+ζ23−ζ47+ζ79−ζ43+ζ55−ζ71+ζ83ζ43−ζ55+ζ71−ζ83−ζ11+ζ31+ζ59−ζ67ζ11−ζ31−ζ59+ζ67ζ19−ζ23+ζ47−ζ79−ζ19+ζ23−ζ47+ζ79−ζ43+ζ55−ζ71+ζ83ζ43−ζ55+ζ71−ζ83−ζ11+ζ31+ζ59−ζ67ζ11−ζ31−ζ59+ζ67ζ19−ζ23+ζ47−ζ79−ζ19+ζ23−ζ47+ζ79−ζ43+ζ55−ζ71+ζ83ζ43−ζ55+ζ71−ζ83−ζ11+ζ31+ζ59−ζ67ζ11−ζ31−ζ59+ζ67ζ19−ζ23+ζ47−ζ79−ζ19+ζ23−ζ47+ζ79−ζ43+ζ55−ζ71+ζ83ζ43−ζ55+ζ71−ζ83−ζ11+ζ31+ζ59−ζ67ζ11−ζ31−ζ59+ζ6700ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74ζ2+ζ26+ζ58+ζ82−ζ2−ζ26−ζ58−ζ82ζ22+ζ34+ζ50+ζ62−ζ22−ζ34−ζ50−ζ62ζ10+ζ38+ζ46+ζ74−ζ10−ζ38−ζ46−ζ740000000000
χ2222-2-2ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ822-22-2ζ22+ζ34+ζ50+ζ62−ζ22−ζ34−ζ50−ζ62ζ10+ζ38+ζ46+ζ74−ζ10−ζ38−ζ46−ζ74ζ2+ζ26+ζ58+ζ82−ζ2−ζ26−ζ58−ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ8222-2-20000ζ43−ζ55+ζ71−ζ83−ζ43+ζ55−ζ71+ζ83ζ11−ζ31−ζ59+ζ67−ζ11+ζ31+ζ59−ζ67−ζ19+ζ23−ζ47+ζ79ζ19−ζ23+ζ47−ζ79ζ43−ζ55+ζ71−ζ83−ζ43+ζ55−ζ71+ζ83ζ11−ζ31−ζ59+ζ67−ζ11+ζ31+ζ59−ζ67−ζ19+ζ23−ζ47+ζ79ζ19−ζ23+ζ47−ζ79ζ43−ζ55+ζ71−ζ83−ζ43+ζ55−ζ71+ζ83ζ11−ζ31−ζ59+ζ67−ζ11+ζ31+ζ59−ζ67−ζ19+ζ23−ζ47+ζ79ζ19−ζ23+ζ47−ζ79ζ43−ζ55+ζ71−ζ83−ζ43+ζ55−ζ71+ζ83ζ11−ζ31−ζ59+ζ67−ζ11+ζ31+ζ59−ζ67−ζ19+ζ23−ζ47+ζ79ζ19−ζ23+ζ47−ζ7900ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82ζ22+ζ34+ζ50+ζ62−ζ22−ζ34−ζ50−ζ62ζ10+ζ38+ζ46+ζ74−ζ10−ζ38−ζ46−ζ74ζ2+ζ26+ζ58+ζ82−ζ2−ζ26−ζ58−ζ820000000000
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χ806-66-63ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ62−3ζ10−3ζ38−3ζ46−3ζ74−3ζ2−3ζ26−3ζ58−3ζ82−3ζ22−3ζ34−3ζ50−3ζ62−3ζ10−3ζ38−3ζ46−3ζ74−3ζ2−3ζ26−3ζ58−3ζ82−3ζ22−3ζ34−3ζ50−3ζ62-2-222−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ6200002i−2i−2i2iζ11+ζ31+ζ59+ζ67ζ11+ζ31+ζ59+ζ67ζ19+ζ23+ζ47+ζ79ζ19+ζ23+ζ47+ζ79ζ43+ζ55+ζ71+ζ83ζ43+ζ55+ζ71+ζ83−ζ11−ζ31−ζ59−ζ67−ζ11−ζ31−ζ59−ζ67−ζ19−ζ23−ζ47−ζ79−ζ19−ζ23−ζ47−ζ79−ζ43−ζ55−ζ71−ζ83−ζ43−ζ55−ζ71−ζ83−ζ11−ζ31−ζ59−ζ67−ζ11−ζ31−ζ59−ζ67−ζ19−ζ23−ζ47−ζ79−ζ19−ζ23−ζ47−ζ79−ζ43−ζ55−ζ71−ζ83−ζ43−ζ55−ζ71−ζ83ζ11+ζ31+ζ59+ζ67ζ11+ζ31+ζ59+ζ67ζ19+ζ23+ζ47+ζ79ζ19+ζ23+ζ47+ζ79ζ43+ζ55+ζ71+ζ83ζ43+ζ55+ζ71+ζ83000000000000000000000000
χ816-66-63ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ62−3ζ10−3ζ38−3ζ46−3ζ74−3ζ2−3ζ26−3ζ58−3ζ82−3ζ22−3ζ34−3ζ50−3ζ62−3ζ10−3ζ38−3ζ46−3ζ74−3ζ2−3ζ26−3ζ58−3ζ82−3ζ22−3ζ34−3ζ50−3ζ62-2-222−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ620000−2i2i2i−2i−ζ11−ζ31−ζ59−ζ67−ζ11−ζ31−ζ59−ζ67−ζ19−ζ23−ζ47−ζ79−ζ19−ζ23−ζ47−ζ79−ζ43−ζ55−ζ71−ζ83−ζ43−ζ55−ζ71−ζ83ζ11+ζ31+ζ59+ζ67ζ11+ζ31+ζ59+ζ67ζ19+ζ23+ζ47+ζ79ζ19+ζ23+ζ47+ζ79ζ43+ζ55+ζ71+ζ83ζ43+ζ55+ζ71+ζ83ζ11+ζ31+ζ59+ζ67ζ11+ζ31+ζ59+ζ67ζ19+ζ23+ζ47+ζ79ζ19+ζ23+ζ47+ζ79ζ43+ζ55+ζ71+ζ83ζ43+ζ55+ζ71+ζ83−ζ11−ζ31−ζ59−ζ67−ζ11−ζ31−ζ59−ζ67−ζ19−ζ23−ζ47−ζ79−ζ19−ζ23−ζ47−ζ79−ζ43−ζ55−ζ71−ζ83−ζ43−ζ55−ζ71−ζ83000000000000000000000000
χ826-6-66666-6-6-6-6-6-6666-222-2-22-22-22222-2-2-200000000000000000000000000000000000000000000000000000000
χ836-6-663ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ74−3ζ2−3ζ26−3ζ58−3ζ82−3ζ22−3ζ34−3ζ50−3ζ62−3ζ10−3ζ38−3ζ46−3ζ74−3ζ2−3ζ26−3ζ58−3ζ82−3ζ22−3ζ34−3ζ50−3ζ62−3ζ10−3ζ38−3ζ46−3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ74-222-2−ζ2−ζ26−ζ58−ζ82ζ2+ζ26+ζ58+ζ82−ζ22−ζ34−ζ50−ζ62ζ22+ζ34+ζ50+ζ62−ζ10−ζ38−ζ46−ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ7400000000ζ2−ζ26+ζ58−ζ82−ζ2+ζ26−ζ58+ζ82ζ22−ζ34+ζ50−ζ62−ζ22+ζ34−ζ50+ζ62−ζ10−ζ38+ζ46+ζ74ζ10+ζ38−ζ46−ζ74−ζ2+ζ26−ζ58+ζ82ζ2−ζ26+ζ58−ζ82−ζ22+ζ34−ζ50+ζ62ζ22−ζ34+ζ50−ζ62ζ10+ζ38−ζ46−ζ74−ζ10−ζ38+ζ46+ζ74−ζ2+ζ26−ζ58+ζ82ζ2−ζ26+ζ58−ζ82−ζ22+ζ34−ζ50+ζ62ζ22−ζ34+ζ50−ζ62ζ10+ζ38−ζ46−ζ74−ζ10−ζ38+ζ46+ζ74ζ2−ζ26+ζ58−ζ82−ζ2+ζ26−ζ58+ζ82ζ22−ζ34+ζ50−ζ62−ζ22+ζ34−ζ50+ζ62−ζ10−ζ38+ζ46+ζ74ζ10+ζ38−ζ46−ζ74000000000000000000000000
χ846-6-663ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ74−3ζ2−3ζ26−3ζ58−3ζ82−3ζ22−3ζ34−3ζ50−3ζ62−3ζ10−3ζ38−3ζ46−3ζ74−3ζ2−3ζ26−3ζ58−3ζ82−3ζ22−3ζ34−3ζ50−3ζ62−3ζ10−3ζ38−3ζ46−3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ74-222-2−ζ2−ζ26−ζ58−ζ82ζ2+ζ26+ζ58+ζ82−ζ22−ζ34−ζ50−ζ62ζ22+ζ34+ζ50+ζ62−ζ10−ζ38−ζ46−ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ7400000000−ζ2+ζ26−ζ58+ζ82ζ2−ζ26+ζ58−ζ82−ζ22+ζ34−ζ50+ζ62ζ22−ζ34+ζ50−ζ62ζ10+ζ38−ζ46−ζ74−ζ10−ζ38+ζ46+ζ74ζ2−ζ26+ζ58−ζ82−ζ2+ζ26−ζ58+ζ82ζ22−ζ34+ζ50−ζ62−ζ22+ζ34−ζ50+ζ62−ζ10−ζ38+ζ46+ζ74ζ10+ζ38−ζ46−ζ74ζ2−ζ26+ζ58−ζ82−ζ2+ζ26−ζ58+ζ82ζ22−ζ34+ζ50−ζ62−ζ22+ζ34−ζ50+ζ62−ζ10−ζ38+ζ46+ζ74ζ10+ζ38−ζ46−ζ74−ζ2+ζ26−ζ58+ζ82ζ2−ζ26+ζ58−ζ82−ζ22+ζ34−ζ50+ζ62ζ22−ζ34+ζ50−ζ62ζ10+ζ38−ζ46−ζ74−ζ10−ζ38+ζ46+ζ74000000000000000000000000
χ856-6-663ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ82−3ζ22−3ζ34−3ζ50−3ζ62−3ζ10−3ζ38−3ζ46−3ζ74−3ζ2−3ζ26−3ζ58−3ζ82−3ζ22−3ζ34−3ζ50−3ζ62−3ζ10−3ζ38−3ζ46−3ζ74−3ζ2−3ζ26−3ζ58−3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ82-222-2−ζ22−ζ34−ζ50−ζ62ζ22+ζ34+ζ50+ζ62−ζ10−ζ38−ζ46−ζ74ζ10+ζ38+ζ46+ζ74−ζ2−ζ26−ζ58−ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ8200000000ζ22−ζ34+ζ50−ζ62−ζ22+ζ34−ζ50+ζ62−ζ10−ζ38+ζ46+ζ74ζ10+ζ38−ζ46−ζ74ζ2−ζ26+ζ58−ζ82−ζ2+ζ26−ζ58+ζ82−ζ22+ζ34−ζ50+ζ62ζ22−ζ34+ζ50−ζ62ζ10+ζ38−ζ46−ζ74−ζ10−ζ38+ζ46+ζ74−ζ2+ζ26−ζ58+ζ82ζ2−ζ26+ζ58−ζ82−ζ22+ζ34−ζ50+ζ62ζ22−ζ34+ζ50−ζ62ζ10+ζ38−ζ46−ζ74−ζ10−ζ38+ζ46+ζ74−ζ2+ζ26−ζ58+ζ82ζ2−ζ26+ζ58−ζ82ζ22−ζ34+ζ50−ζ62−ζ22+ζ34−ζ50+ζ62−ζ10−ζ38+ζ46+ζ74ζ10+ζ38−ζ46−ζ74ζ2−ζ26+ζ58−ζ82−ζ2+ζ26−ζ58+ζ82000000000000000000000000
χ866-6-663ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ82−3ζ22−3ζ34−3ζ50−3ζ62−3ζ10−3ζ38−3ζ46−3ζ74−3ζ2−3ζ26−3ζ58−3ζ82−3ζ22−3ζ34−3ζ50−3ζ62−3ζ10−3ζ38−3ζ46−3ζ74−3ζ2−3ζ26−3ζ58−3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ82-222-2−ζ22−ζ34−ζ50−ζ62ζ22+ζ34+ζ50+ζ62−ζ10−ζ38−ζ46−ζ74ζ10+ζ38+ζ46+ζ74−ζ2−ζ26−ζ58−ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ8200000000−ζ22+ζ34−ζ50+ζ62ζ22−ζ34+ζ50−ζ62ζ10+ζ38−ζ46−ζ74−ζ10−ζ38+ζ46+ζ74−ζ2+ζ26−ζ58+ζ82ζ2−ζ26+ζ58−ζ82ζ22−ζ34+ζ50−ζ62−ζ22+ζ34−ζ50+ζ62−ζ10−ζ38+ζ46+ζ74ζ10+ζ38−ζ46−ζ74ζ2−ζ26+ζ58−ζ82−ζ2+ζ26−ζ58+ζ82ζ22−ζ34+ζ50−ζ62−ζ22+ζ34−ζ50+ζ62−ζ10−ζ38+ζ46+ζ74ζ10+ζ38−ζ46−ζ74ζ2−ζ26+ζ58−ζ82−ζ2+ζ26−ζ58+ζ82−ζ22+ζ34−ζ50+ζ62ζ22−ζ34+ζ50−ζ62ζ10+ζ38−ζ46−ζ74−ζ10−ζ38+ζ46+ζ74−ζ2+ζ26−ζ58+ζ82ζ2−ζ26+ζ58−ζ82000000000000000000000000
χ876-6-663ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ62−3ζ10−3ζ38−3ζ46−3ζ74−3ζ2−3ζ26−3ζ58−3ζ82−3ζ22−3ζ34−3ζ50−3ζ62−3ζ10−3ζ38−3ζ46−3ζ74−3ζ2−3ζ26−3ζ58−3ζ82−3ζ22−3ζ34−3ζ50−3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ62-222-2−ζ10−ζ38−ζ46−ζ74ζ10+ζ38+ζ46+ζ74−ζ2−ζ26−ζ58−ζ82ζ2+ζ26+ζ58+ζ82−ζ22−ζ34−ζ50−ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ6200000000−ζ10−ζ38+ζ46+ζ74ζ10+ζ38−ζ46−ζ74ζ2−ζ26+ζ58−ζ82−ζ2+ζ26−ζ58+ζ82ζ22−ζ34+ζ50−ζ62−ζ22+ζ34−ζ50+ζ62ζ10+ζ38−ζ46−ζ74−ζ10−ζ38+ζ46+ζ74−ζ2+ζ26−ζ58+ζ82ζ2−ζ26+ζ58−ζ82−ζ22+ζ34−ζ50+ζ62ζ22−ζ34+ζ50−ζ62ζ10+ζ38−ζ46−ζ74−ζ10−ζ38+ζ46+ζ74−ζ2+ζ26−ζ58+ζ82ζ2−ζ26+ζ58−ζ82−ζ22+ζ34−ζ50+ζ62ζ22−ζ34+ζ50−ζ62−ζ10−ζ38+ζ46+ζ74ζ10+ζ38−ζ46−ζ74ζ2−ζ26+ζ58−ζ82−ζ2+ζ26−ζ58+ζ82ζ22−ζ34+ζ50−ζ62−ζ22+ζ34−ζ50+ζ62000000000000000000000000
χ886-6-663ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ62−3ζ10−3ζ38−3ζ46−3ζ74−3ζ2−3ζ26−3ζ58−3ζ82−3ζ22−3ζ34−3ζ50−3ζ62−3ζ10−3ζ38−3ζ46−3ζ74−3ζ2−3ζ26−3ζ58−3ζ82−3ζ22−3ζ34−3ζ50−3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ62-222-2−ζ10−ζ38−ζ46−ζ74ζ10+ζ38+ζ46+ζ74−ζ2−ζ26−ζ58−ζ82ζ2+ζ26+ζ58+ζ82−ζ22−ζ34−ζ50−ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ6200000000ζ10+ζ38−ζ46−ζ74−ζ10−ζ38+ζ46+ζ74−ζ2+ζ26−ζ58+ζ82ζ2−ζ26+ζ58−ζ82−ζ22+ζ34−ζ50+ζ62ζ22−ζ34+ζ50−ζ62−ζ10−ζ38+ζ46+ζ74ζ10+ζ38−ζ46−ζ74ζ2−ζ26+ζ58−ζ82−ζ2+ζ26−ζ58+ζ82ζ22−ζ34+ζ50−ζ62−ζ22+ζ34−ζ50+ζ62−ζ10−ζ38+ζ46+ζ74ζ10+ζ38−ζ46−ζ74ζ2−ζ26+ζ58−ζ82−ζ2+ζ26−ζ58+ζ82ζ22−ζ34+ζ50−ζ62−ζ22+ζ34−ζ50+ζ62ζ10+ζ38−ζ46−ζ74−ζ10−ζ38+ζ46+ζ74−ζ2+ζ26−ζ58+ζ82ζ2−ζ26+ζ58−ζ82−ζ22+ζ34−ζ50+ζ62ζ22−ζ34+ζ50−ζ62000000000000000000000000

Here ζ is a primitive root of unity of order 84 (ζ84 = 1); i = ζ21.