Finite Group Databasebeta

← Group #13052134

Character table — Group #13052134

Order 1344.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size1111222222444466666666777777771212121212121212121212121414141414141414141414142828282828282828282828282828282828282828282828282828282828282828
order1222224444224471414142828282833666666141414141414282828282828666612121212121212124444666688881212121212121212121212122424242424242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32
χ41111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32-1-1-1-1−1−i32−1−i32−1+i32−1+i32-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32
χ51111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32
χ61111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32-1-1-1-1−1+i32−1+i32−1−i32−1−i32-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32
χ71111111111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ81111111111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ91111111111-1-1-1-111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-111-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i3211111+i321+i321−i321−i32-1-1-1-11+i321+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32
χ101111111111-1-1-1-111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-111-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32-1-1-1-11+i321+i321−i321−i3211111+i321+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32
χ111111111111-1-1-1-111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1-1-111-1-1-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i3211111−i321−i321+i321+i32-1-1-1-11−i321−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32
χ121111111111-1-1-1-111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1-1-111-1-1-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32-1-1-1-11−i321−i321+i321+i3211111−i321−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32
χ131111-1-11-1-1111-1-11111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-11-1-11-1-11111-1-1111111-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ141111-1-11-1-1111-1-11111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-11-1-11-1-111-1-1111111-1-111-1-1-1-1-1-111-1-111-1-111-1-111
χ151111-1-11-1-1111-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1111111-1-1-1-11+i321+i321−i321−i32−1−i321+i321+i32−1+i321−i321−i32−1−i32−1+i3211-1-1−1−i32−1−i32−1+i32−1+i3211-1-11+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32
χ161111-1-11-1-1111-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1111111-1-1-1-11+i321+i321−i321−i32−1−i321+i321+i32−1+i321−i321−i32−1−i32−1+i32-1-111−1−i32−1−i32−1+i32−1+i32-1-1111+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32
χ171111-1-11-1-1111-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1111111-1-1-1-11−i321−i321+i321+i32−1+i321−i321−i32−1−i321+i321+i32−1+i32−1−i3211-1-1−1+i32−1+i32−1−i32−1−i3211-1-11−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32
χ181111-1-11-1-1111-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1111111-1-1-1-11−i321−i321+i321+i32−1+i321−i321−i32−1−i321+i321+i32−1+i32−1−i32-1-111−1+i32−1+i32−1−i32−1−i32-1-1111−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32
χ191111-1-11-1-11-1-1111111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-11-1-11-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-111
χ201111-1-11-1-11-1-1111111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-11-1-11-1-111-1-111-1-1-1-111-1-11111-1-111-1-11111-1-111-1-1
χ211111-1-11-1-11-1-1111111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-11111111+i321+i321−i321−i32−1−i321+i321+i32−1+i321−i321−i32−1−i32−1+i3211-1-11+i321+i321−i321−i32-1-111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32
χ221111-1-11-1-11-1-1111111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-11111111+i321+i321−i321−i32−1−i321+i321+i32−1+i321−i321−i32−1−i32−1+i32-1-1111+i321+i321−i321−i3211-1-1−1−i32−1−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32
χ231111-1-11-1-11-1-1111111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-11111111−i321−i321+i321+i32−1+i321−i321−i32−1−i321+i321+i32−1+i32−1−i3211-1-11−i321−i321+i321+i32-1-111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32
χ241111-1-11-1-11-1-1111111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-11111111−i321−i321+i321+i32−1+i321−i321−i32−1−i321+i321+i32−1+i32−1−i32-1-1111−i321−i321+i321+i3211-1-1−1+i32−1+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32
χ251-11-11-111-1-11-11-11-1-1111-1-111-1-11-11-11-111-1-11-111-1-11-11-111-111-1-1-1i−ii−i1-11-1i−ii−i1-11-1i−ii−ii−ii−ii−ii−ii−ii−i
χ261-11-11-111-1-11-11-11-1-1111-1-111-1-11-11-11-111-1-11-111-1-11-11-111-111-1-1-1−ii−ii1-11-1−ii−ii1-11-1−ii−ii−ii−ii−ii−ii−ii−ii
χ271-11-11-111-1-11-11-11-1-1111-1-1−1−i32−1+i321+i321−i32−1−i321+i32−1+i321−i321-111-1-11-111-1-1−1−i321+i32−1+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i321+i321−i32i−ii−i−1−i321+i32−1+i321−i32i−ii−i−1−i321+i32−1+i321−i32ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79
χ281-11-11-111-1-11-11-11-1-1111-1-1−1−i32−1+i321+i321−i32−1−i321+i32−1+i321−i321-111-1-11-111-1-1−1−i321+i32−1+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i321+i321−i32−ii−ii−1−i321+i32−1+i321−i32−ii−ii−1−i321+i32−1+i321−i32−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79
χ291-11-11-111-1-11-11-11-1-1111-1-1−1+i32−1−i321−i321+i32−1+i321−i32−1−i321+i321-111-1-11-111-1-1−1+i321−i32−1−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i321−i321+i32i−ii−i−1+i321−i32−1−i321+i32i−ii−i−1+i321−i32−1−i321+i32ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83
χ301-11-11-111-1-11-11-11-1-1111-1-1−1+i32−1−i321−i321+i32−1+i321−i32−1−i321+i321-111-1-11-111-1-1−1+i321−i32−1−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i321−i321+i32−ii−ii−1+i321−i32−1−i321+i32−ii−ii−1+i321−i32−1−i321+i32−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83
χ311-11-11-111-1-1-11-111-1-1111-1-111-1-11-11-11-1-1-1111-1-1-1111-11-111-111-1-1-1i−ii−i-11-11−ii−ii-11-11i−ii−ii−ii−i−ii−ii−ii−ii
χ321-11-11-111-1-1-11-111-1-1111-1-111-1-11-11-11-1-1-1111-1-1-1111-11-111-111-1-1-1−ii−ii-11-11i−ii−i-11-11−ii−ii−ii−iii−ii−ii−ii−i
χ331-11-11-111-1-1-11-111-1-1111-1-1−1−i32−1+i321+i321−i32−1−i321+i32−1+i321−i321-1-1-1111-1-1-111−1−i321+i32−1+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i321+i321−i32i−ii−i1+i32−1−i321−i32−1+i32−ii−ii1+i32−1−i321−i32−1+i32ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79
χ341-11-11-111-1-1-11-111-1-1111-1-1−1−i32−1+i321+i321−i32−1−i321+i32−1+i321−i321-1-1-1111-1-1-111−1−i321+i32−1+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i321+i321−i32−ii−ii1+i32−1−i321−i32−1+i32i−ii−i1+i32−1−i321−i32−1+i32−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79
χ351-11-11-111-1-1-11-111-1-1111-1-1−1+i32−1−i321−i321+i32−1+i321−i32−1−i321+i321-1-1-1111-1-1-111−1+i321−i32−1−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i321−i321+i32i−ii−i1−i32−1+i321+i32−1−i32−ii−ii1−i32−1+i321+i32−1−i32ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83
χ361-11-11-111-1-1-11-111-1-1111-1-1−1+i32−1−i321−i321+i32−1+i321−i32−1−i321+i321-1-1-1111-1-1-111−1+i321−i32−1−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i321−i321+i32−ii−ii1−i32−1+i321+i32−1−i32i−ii−i1−i32−1+i321+i32−1−i32−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83
χ371-11-1-111-11-11-1-111-1-11-1-11111-1-11-11-1-1111-1-11-1-1-111-11-111-111-11-1-1i−i−ii1-11-1i−i−ii-11-11i−i−iii−i−iii−i−iii−i−ii
χ381-11-1-111-11-11-1-111-1-11-1-11111-1-11-11-1-1111-1-11-1-1-111-11-111-111-11-1-1−iii−i1-11-1−iii−i-11-11−iii−i−iii−i−iii−i−iii−i
χ391-11-1-111-11-11-1-111-1-11-1-111−1−i32−1+i321+i321−i32−1−i321+i32−1+i321−i32-1111-1-11-1-1-1111+i32−1−i321−i32−1+i32−1−i321+i32−1−i32−1+i321−i32−1+i321+i321−i32i−i−ii−1−i321+i32−1+i321−i32i−i−ii1+i32−1−i321−i32−1+i32ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79
χ401-11-1-111-11-11-1-111-1-11-1-111−1−i32−1+i321+i321−i32−1−i321+i32−1+i321−i32-1111-1-11-1-1-1111+i32−1−i321−i32−1+i32−1−i321+i32−1−i32−1+i321−i32−1+i321+i321−i32−iii−i−1−i321+i32−1+i321−i32−iii−i1+i32−1−i321−i32−1+i32−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79
χ411-11-1-111-11-11-1-111-1-11-1-111−1+i32−1−i321−i321+i32−1+i321−i32−1−i321+i32-1111-1-11-1-1-1111−i32−1+i321+i32−1−i32−1+i321−i32−1+i32−1−i321+i32−1−i321−i321+i32i−i−ii−1+i321−i32−1−i321+i32i−i−ii1−i32−1+i321+i32−1−i32ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83
χ421-11-1-111-11-11-1-111-1-11-1-111−1+i32−1−i321−i321+i32−1+i321−i32−1−i321+i32-1111-1-11-1-1-1111−i32−1+i321+i32−1−i32−1+i321−i32−1+i32−1−i321+i32−1−i321−i321+i32−iii−i−1+i321−i32−1−i321+i32−iii−i1−i32−1+i321+i32−1−i32−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83
χ431-11-1-111-11-1-111-11-1-11-1-11111-1-11-11-1-11-1-1111-111-1-1-11-111-111-11-1-1i−i−ii-11-11−iii−i1-11-1i−i−iii−i−ii−iii−i−iii−i
χ441-11-1-111-11-1-111-11-1-11-1-11111-1-11-11-1-11-1-1111-111-1-1-11-111-111-11-1-1−iii−i-11-11i−i−ii1-11-1−iii−i−iii−ii−i−iii−i−ii
χ451-11-1-111-11-1-111-11-1-11-1-111−1−i32−1+i321+i321−i32−1−i321+i32−1+i321−i32-11-1-1111-111-1-11+i32−1−i321−i32−1+i32−1−i321+i32−1−i32−1+i321−i32−1+i321+i321−i32i−i−ii1+i32−1−i321−i32−1+i32−iii−i−1−i321+i32−1+i321−i32ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79
χ461-11-1-111-11-1-111-11-1-11-1-111−1−i32−1+i321+i321−i32−1−i321+i32−1+i321−i32-11-1-1111-111-1-11+i32−1−i321−i32−1+i32−1−i321+i32−1−i32−1+i321−i32−1+i321+i321−i32−iii−i1+i32−1−i321−i32−1+i32i−i−ii−1−i321+i32−1+i321−i32−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79
χ471-11-1-111-11-1-111-11-1-11-1-111−1+i32−1−i321−i321+i32−1+i321−i32−1−i321+i32-11-1-1111-111-1-11−i32−1+i321+i32−1−i32−1+i321−i32−1+i32−1−i321+i32−1−i321−i321+i32i−i−ii1−i32−1+i321+i32−1−i32−iii−i−1+i321−i32−1−i321+i32ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83
χ481-11-1-111-11-1-111-11-1-11-1-111−1+i32−1−i321−i321+i32−1+i321−i32−1−i321+i32-11-1-1111-111-1-11−i32−1+i321+i32−1−i32−1+i321−i32−1+i32−1−i321+i32−1−i321−i321+i32−iii−i1−i32−1+i321+i32−1−i32i−i−ii−1+i321−i32−1−i321+i32−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83
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Here ζ is a primitive root of unity of order 84 (ζ84 = 1); i = ζ21.