Finite Group Databasebeta

← Group #13062040

Character table — Group #13062040

Order 1344.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67
size11222222233444666666688121212121212121414161616161616161616161616162424242424242424242424244242424242428484112112
order12477714141422282828414141414141436224428282822122121214242428484848484841414141414142828282828282222444466
χ11111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111
χ411111111111111111111111-1-1-1-1111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ511-111111111-1-1-1-1111111111-11-1-1-1-11-1-1111111-1-1-1-1-1-1111-1-1-1111-1-1-11-11111-1-11-1
χ611-111111111-1-1-1-1111111111-11-1-1-1-1-11-1111111-1-1-1-1-1-1111-1-1-1111-1-1-1-11-1-1-1-111-11
χ711-111111111-1-1-1-111111111-11-11-1-1-11-1-1111111-1-1-1-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1111-1
χ811-111111111-1-1-1-111111111-11-11-1-1-1-11-1111111-1-1-1-1-1-1-1-1-1111-1-1-1111-111111-1-1-11
χ9222222222222222222222-1-1000022222-1-1-1-1-1-1-1-1-1-1-1-1-100000000000022000000-1-1
χ10222222222222222222222-1-10000222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-200000011
χ11222ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ7422ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ742ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74222222ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74002ζ2+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+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+ζ62ζ10+ζ38+ζ46+ζ740000000000
χ12222ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ7422ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ742ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ7422-2-2-2-2ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74002ζ2+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+ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ740000000000
χ13222ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ8222ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ822ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82222222ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82002ζ22+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+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+ζ74ζ2+ζ26+ζ58+ζ820000000000
χ14222ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ8222ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ822ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ8222-2-2-2-2ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82002ζ22+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+ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ820000000000
χ15222ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ6222ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ622ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62222222ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62002ζ10+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+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+ζ82ζ22+ζ34+ζ50+ζ620000000000
χ16222ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ6222ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ622ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ6222-2-2-2-2ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62002ζ10+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+ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ620000000000
χ1722-222222222-2-2-2-2222222-1-10000-2-2-22-21-1-1-1-1-1-11111110000000000002-2000000-11
χ1822-222222222-2-2-2-2222222-1-10000-2-2-2-221-1-1-1-1-1-1111111000000000000-220000001-1
χ1922-2ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ7422−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74-2ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74222-22-2−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ7400-2ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+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−ζ74ζ2+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−ζ740000000000
χ2022-2ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ7422−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74-2ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ7422-22-22−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ7400-2ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+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−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−ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ740000000000
χ2122-2ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ8222−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82-2ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82222-22-2−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ8200-2ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+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−ζ82ζ22+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−ζ820000000000
χ2222-2ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ8222−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82-2ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ8222-22-22−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ8200-2ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+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−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−ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ820000000000
χ2322-2ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ6222−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62-2ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62222-22-2−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ6200-2ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+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−ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ620000000000
χ2422-2ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ6222−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62-2ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ6222-22-22−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ6200-2ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+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−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ620000000000
χ252-20222-2-2-2-220000-2-2-22222-20000000000222-2-2-2000000000000000000002-22-20000
χ262-20222-2-2-2-220000-2-2-22222-20000000000222-2-2-200000000000000000000-22-220000
χ27333333333-1-1333-1-1-1-1-1-1-10011-1-1-1-1-1330000000000000111111-1-1-1-1-1-1-1-111-1-11-100
χ28333333333-1-1333-1-1-1-1-1-1-10011-1-1-1-1-1-3-30000000000000111111-1-1-1-1-1-111-1-111-1100
χ29333333333-1-1333-1-1-1-1-1-1-100-1-111-1-1-1330000000000000-1-1-1-1-1-1111111-1-1-1-111-1100
χ30333333333-1-1333-1-1-1-1-1-1-100-1-111-1-1-1-3-30000000000000-1-1-1-1-1-11111111111-1-11-100
χ3133-3333333-1-1-3-3-31-1-1-1-1-1-1001-1-111113-30000000000000111-1-1-1-1-1-1111-1111-1-1-1100
χ3233-3333333-1-1-3-3-31-1-1-1-1-1-1001-1-11111-330000000000000111-1-1-1-1-1-11111-1-1-1111-100
χ3333-3333333-1-1-3-3-31-1-1-1-1-1-100-111-11113-30000000000000-1-1-1111111-1-1-1-11-1-1111-100
χ3433-3333333-1-1-3-3-31-1-1-1-1-1-100-111-1111-330000000000000-1-1-1111111-1-1-11-111-1-1-1100
χ354442ζ2+2ζ26+2ζ58+2ζ822ζ22+2ζ34+2ζ50+2ζ622ζ10+2ζ38+2ζ46+2ζ742ζ2+2ζ26+2ζ58+2ζ822ζ22+2ζ34+2ζ50+2ζ622ζ10+2ζ38+2ζ46+2ζ74442ζ2+2ζ26+2ζ58+2ζ822ζ22+2ζ34+2ζ50+2ζ622ζ10+2ζ38+2ζ46+2ζ7442ζ2+2ζ26+2ζ58+2ζ822ζ22+2ζ34+2ζ50+2ζ622ζ10+2ζ38+2ζ46+2ζ742ζ2+2ζ26+2ζ58+2ζ822ζ22+2ζ34+2ζ50+2ζ622ζ10+2ζ38+2ζ46+2ζ74-2-200002ζ2+2ζ26+2ζ58+2ζ822ζ22+2ζ34+2ζ50+2ζ622ζ10+2ζ38+2ζ46+2ζ7400-2−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−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−ζ740000000000000000000000
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χ566663ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ62-2-23ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ62-2−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ6200-2-222−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62000000000000000−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ620000000000
χ5766-63ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ74-2-2−3ζ2−3ζ26−3ζ58−3ζ82−3ζ22−3ζ34−3ζ50−3ζ62−3ζ10−3ζ38−3ζ46−3ζ742−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74002-2-22ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74000000000000000ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ740000000000
χ5866-63ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ74-2-2−3ζ2−3ζ26−3ζ58−3ζ82−3ζ22−3ζ34−3ζ50−3ζ62−3ζ10−3ζ38−3ζ46−3ζ742−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ7400-222-2ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74000000000000000−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ740000000000
χ5966-63ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ82-2-2−3ζ22−3ζ34−3ζ50−3ζ62−3ζ10−3ζ38−3ζ46−3ζ74−3ζ2−3ζ26−3ζ58−3ζ822−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82002-2-22ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82000000000000000ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ820000000000
χ6066-63ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ82-2-2−3ζ22−3ζ34−3ζ50−3ζ62−3ζ10−3ζ38−3ζ46−3ζ74−3ζ2−3ζ26−3ζ58−3ζ822−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ8200-222-2ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82000000000000000−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ820000000000
χ6166-63ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ62-2-2−3ζ10−3ζ38−3ζ46−3ζ74−3ζ2−3ζ26−3ζ58−3ζ82−3ζ22−3ζ34−3ζ50−3ζ622−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62002-2-22ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62000000000000000ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ620000000000
χ6266-63ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ62-2-2−3ζ10−3ζ38−3ζ46−3ζ74−3ζ2−3ζ26−3ζ58−3ζ82−3ζ22−3ζ34−3ζ50−3ζ622−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ6200-222-2ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62000000000000000−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ620000000000
χ636-60666-6-6-62-20000222-2-2-2000000000000000000000000000000000000002-2-220000
χ646-60666-6-6-62-20000222-2-2-200000000000000000000000000000000000000-222-20000
χ6512-1206ζ2+6ζ26+6ζ58+6ζ826ζ22+6ζ34+6ζ50+6ζ626ζ10+6ζ38+6ζ46+6ζ74−6ζ2−6ζ26−6ζ58−6ζ82−6ζ22−6ζ34−6ζ50−6ζ62−6ζ10−6ζ38−6ζ46−6ζ744-400002ζ2+2ζ26+2ζ58+2ζ822ζ22+2ζ34+2ζ50+2ζ622ζ10+2ζ38+2ζ46+2ζ74−2ζ2−2ζ26−2ζ58−2ζ82−2ζ22−2ζ34−2ζ50−2ζ62−2ζ10−2ζ38−2ζ46−2ζ740000000000000000000000000000000000000000000000
χ6612-1206ζ22+6ζ34+6ζ50+6ζ626ζ10+6ζ38+6ζ46+6ζ746ζ2+6ζ26+6ζ58+6ζ82−6ζ22−6ζ34−6ζ50−6ζ62−6ζ10−6ζ38−6ζ46−6ζ74−6ζ2−6ζ26−6ζ58−6ζ824-400002ζ22+2ζ34+2ζ50+2ζ622ζ10+2ζ38+2ζ46+2ζ742ζ2+2ζ26+2ζ58+2ζ82−2ζ22−2ζ34−2ζ50−2ζ62−2ζ10−2ζ38−2ζ46−2ζ74−2ζ2−2ζ26−2ζ58−2ζ820000000000000000000000000000000000000000000000
χ6712-1206ζ10+6ζ38+6ζ46+6ζ746ζ2+6ζ26+6ζ58+6ζ826ζ22+6ζ34+6ζ50+6ζ62−6ζ10−6ζ38−6ζ46−6ζ74−6ζ2−6ζ26−6ζ58−6ζ82−6ζ22−6ζ34−6ζ50−6ζ624-400002ζ10+2ζ38+2ζ46+2ζ742ζ2+2ζ26+2ζ58+2ζ822ζ22+2ζ34+2ζ50+2ζ62−2ζ10−2ζ38−2ζ46−2ζ74−2ζ2−2ζ26−2ζ58−2ζ82−2ζ22−2ζ34−2ζ50−2ζ620000000000000000000000000000000000000000000000

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