Finite Group Databasebeta

← Group #13052127

Character table — Group #13052127

Order 1344.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size1122244666677771212121212121414141414142828282828282828282828282828282811222446666777712121212121214141414141428282828282828282828282828282828
order12244447141414336628282828282866121212128888121212122424242424242424222444414141414666628282828282866121212128888121212122424242424242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−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+i3211111111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−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
χ411111111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−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−i3211111111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−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−i32
χ511111111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+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−i3211111111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+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
χ611111111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+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+i3211111111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+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+i32
χ711111-1-11111111111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-111111-1-11111111111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1
χ811111-1-11111111111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-11111111-1-11111111111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-111
χ911111-1-11111−1−i32−1+i32−1−i32−1+i3211-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-11+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i3211111-1-11111−1−i32−1+i32−1−i32−1+i3211-1-1-1-1−1−i32−1+i32−1−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
χ1011111-1-11111−1−i32−1+i32−1−i32−1+i3211-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1111+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i3211111-1-11111−1−i32−1+i32−1−i32−1+i3211-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1111+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32
χ1111111-1-11111−1+i32−1−i32−1+i32−1−i3211-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-11−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i3211111-1-11111−1+i32−1−i32−1+i32−1−i3211-1-1-1-1−1+i32−1−i32−1+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
χ1211111-1-11111−1+i32−1−i32−1+i32−1−i3211-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1111−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i3211111-1-11111−1+i32−1−i32−1+i32−1−i3211-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1111−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32
χ13111-1-11-111111111-1-111-1-111-1-1-1-1i−ii−i1-11-1i−ii−ii−ii−i111-1-11-111111111-1-111-1-111-1-1-1-1i−ii−i1-11-1i−ii−ii−ii−i
χ14111-1-11-111111111-1-111-1-111-1-1-1-1−ii−ii1-11-1−ii−ii−ii−ii111-1-11-111111111-1-111-1-111-1-1-1-1−ii−ii1-11-1−ii−ii−ii−ii
χ15111-1-11-11111−1−i32−1+i32−1−i32−1+i32-1-111-1-1−1−i32−1+i321+i321+i321−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−ζ79111-1-11-11111−1−i32−1+i32−1−i32−1+i32-1-111-1-1−1−i32−1+i321+i321+i321−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−ζ79
χ16111-1-11-11111−1−i32−1+i32−1−i32−1+i32-1-111-1-1−1−i32−1+i321+i321+i321−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+ζ79111-1-11-11111−1−i32−1+i32−1−i32−1+i32-1-111-1-1−1−i32−1+i321+i321+i321−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
χ17111-1-11-11111−1+i32−1−i32−1+i32−1−i32-1-111-1-1−1+i32−1−i321−i321−i321+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−ζ83111-1-11-11111−1+i32−1−i32−1+i32−1−i32-1-111-1-1−1+i32−1−i321−i321−i321+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−ζ83
χ18111-1-11-11111−1+i32−1−i32−1+i32−1−i32-1-111-1-1−1+i32−1−i321−i321−i321+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+ζ83111-1-11-11111−1+i32−1−i32−1+i32−1−i32-1-111-1-1−1+i32−1−i321−i321−i321+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
χ19111-1-1-1111111111-1-1-1-11111-1-1-1-1i−i−ii-11-11i−i−iii−i−ii111-1-1-1111111111-1-1-1-11111-1-1-1-1i−i−ii-11-11i−i−iii−i−ii
χ20111-1-1-1111111111-1-1-1-11111-1-1-1-1−iii−i-11-11−iii−i−iii−i111-1-1-1111111111-1-1-1-11111-1-1-1-1−iii−i-11-11−iii−i−iii−i
χ21111-1-1-111111−1−i32−1+i32−1−i32−1+i32-1-1-1-111−1−i32−1+i321+i321+i321−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+ζ79111-1-1-111111−1−i32−1+i32−1−i32−1+i32-1-1-1-111−1−i32−1+i321+i321+i321−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+ζ79
χ22111-1-1-111111−1−i32−1+i32−1−i32−1+i32-1-1-1-111−1−i32−1+i321+i321+i321−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−ζ79111-1-1-111111−1−i32−1+i32−1−i32−1+i32-1-1-1-111−1−i32−1+i321+i321+i321−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
χ23111-1-1-111111−1+i32−1−i32−1+i32−1−i32-1-1-1-111−1+i32−1−i321−i321−i321+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+ζ83111-1-1-111111−1+i32−1−i32−1+i32−1−i32-1-1-1-111−1+i32−1−i321−i321−i321+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+ζ83
χ24111-1-1-111111−1+i32−1−i32−1+i32−1−i32-1-1-1-111−1+i32−1−i321−i321−i321+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−ζ83111-1-1-111111−1+i32−1−i32−1+i32−1−i32-1-1-1-111−1+i32−1−i321−i321−i321+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
χ2522-22-2002-2-2222222-20000-2-22-22-2000000000000000022-22-2002-2-2222222-20000-2-22-22-20000000000000000
χ2622-22-2002-2-22−1−i3−1+i3−1−i3−1+i32-200001+i31−i3−1−i31+i3−1+i31−i3000000000000000022-22-2002-2-22−1−i3−1+i3−1−i3−1+i32-200001+i31−i3−1−i31+i3−1+i31−i30000000000000000
χ2722-22-2002-2-22−1+i3−1−i3−1+i3−1−i32-200001−i31+i3−1+i31−i3−1−i31+i3000000000000000022-22-2002-2-22−1+i3−1−i3−1+i3−1−i32-200001−i31+i3−1+i31−i3−1−i31+i30000000000000000
χ2822-2-22002-2-222222-220000-2-2-22-22000000000000000022-2-22002-2-222222-220000-2-2-22-220000000000000000
χ2922-2-22002-2-22−1−i3−1+i3−1−i3−1+i3-2200001+i31−i31+i3−1−i31−i3−1+i3000000000000000022-2-22002-2-22−1−i3−1+i3−1−i3−1+i3-2200001+i31−i31+i3−1−i31−i3−1+i30000000000000000
χ3022-2-22002-2-22−1+i3−1−i3−1+i3−1−i3-2200001−i31+i31−i3−1+i31+i3−1−i3000000000000000022-2-22002-2-22−1+i3−1−i3−1+i3−1−i3-2200001−i31+i31−i3−1+i31+i3−1−i30000000000000000
χ314-400000400-444-4-400000000000000000000000000004-400000400-444-4-40000000000000000000000000000
χ324-400000400-4−2−2i3−2+2i32+2i32−2i300000000000000000000000000004-400000400-4−2−2i3−2+2i32+2i32−2i30000000000000000000000000000
χ334-400000400-4−2+2i3−2−2i32−2i32+2i300000000000000000000000000004-400000400-4−2+2i3−2−2i32−2i32+2i30000000000000000000000000000
χ346666666-1-1-1-10000-1-1-1-1-1-100000000000000000000006666666-1-1-1-10000-1-1-1-1-1-10000000000000000000000
χ3566666-6-6-1-1-1-10000-1-11111000000000000000000000066666-6-6-1-1-1-10000-1-111110000000000000000000000
χ36666-6-66-6-1-1-1-1000011-1-1110000000000000000000000666-6-66-6-1-1-1-1000011-1-1110000000000000000000000
χ37666-6-6-66-1-1-1-100001111-1-10000000000000000000000666-6-6-66-1-1-1-100001111-1-10000000000000000000000
χ3866-66-600-111-10000-11−i7i7−i7i7000000000000000000000066-66-600-111-10000-11−i7i7−i7i70000000000000000000000
χ3966-66-600-111-10000-11i7−i7i7−i7000000000000000000000066-66-600-111-10000-11i7−i7i7−i70000000000000000000000
χ4066-6-6600-111-100001-1−i7i7i7−i7000000000000000000000066-6-6600-111-100001-1−i7i7i7−i70000000000000000000000
χ4166-6-6600-111-100001-1i7−i7−i7i7000000000000000000000066-6-6600-111-100001-1i7−i7−i7i70000000000000000000000
χ4212-1200000-2−2i72i720000000000000000000000000000000012-1200000-2−2i72i7200000000000000000000000000000000
χ4312-1200000-22i7−2i720000000000000000000000000000000012-1200000-22i7−2i7200000000000000000000000000000000
χ441111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ45111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ4611111111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−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+i32-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-1-1-11+i321−i321+i321+i321−i321−i32-1-1-1-11+i321+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32
χ4711111111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−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−i32-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-1-1-11+i321−i321+i321+i321−i321−i3211111+i321+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32
χ4811111111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+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−i32-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-11−i321+i321−i321−i321+i321+i32-1-1-1-11−i321−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32
χ4911111111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+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+i32-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-11−i321+i321−i321−i321+i321+i3211111−i321−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32
χ5011111-1-11111111111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-111
χ5111111-1-11111111111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-111-1-1
χ5211111-1-11111−1−i32−1+i32−1−i32−1+i3211-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-11+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-1-1-1-1-111-1-1-1-11+i321−i321+i321−i32-1-111111+i321−i321+i321+i321−i321−i32-1-111−1−i32−1−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32
χ5311111-1-11111−1−i32−1+i32−1−i32−1+i3211-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1111+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-1-1-1-1-111-1-1-1-11+i321−i321+i321−i32-1-111111+i321−i321+i321+i321−i321−i3211-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32
χ5411111-1-11111−1+i32−1−i32−1+i32−1−i3211-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-11−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-1-1-1-1-111-1-1-1-11−i321+i321−i321+i32-1-111111−i321+i321−i321−i321+i321+i32-1-111−1+i32−1+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32
χ5511111-1-11111−1+i32−1−i32−1+i32−1−i3211-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1111−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-1-1-1-1-111-1-1-1-11−i321+i321−i321+i32-1-111111−i321+i321−i321−i321+i321+i3211-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32
χ56111-1-11-111111111-1-111-1-111-1-1-1-1i−ii−i1-11-1i−ii−ii−ii−i-1-1-111-11-1-1-1-1-1-1-1-111-1-111-1-11111−ii−ii-11-11−ii−ii−ii−ii
χ57111-1-11-111111111-1-111-1-111-1-1-1-1−ii−ii1-11-1−ii−ii−ii−ii-1-1-111-11-1-1-1-1-1-1-1-111-1-111-1-11111i−ii−i-11-11i−ii−ii−ii−i
χ58111-1-11-11111−1−i32−1+i32−1−i32−1+i32-1-111-1-1−1−i32−1+i321+i321+i321−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−ζ79-1-1-111-11-1-1-1-11+i321−i321+i321−i3211-1-1111+i321−i32−1−i32−1−i32−1+i32−1+i32−ii−ii1+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+ζ79
χ59111-1-11-11111−1−i32−1+i32−1−i32−1+i32-1-111-1-1−1−i32−1+i321+i321+i321−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+ζ79-1-1-111-11-1-1-1-11+i321−i321+i321−i3211-1-1111+i321−i32−1−i32−1−i32−1+i32−1+i32i−ii−i1+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
χ60111-1-11-11111−1+i32−1−i32−1+i32−1−i32-1-111-1-1−1+i32−1−i321−i321−i321+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−ζ83-1-1-111-11-1-1-1-11−i321+i321−i321+i3211-1-1111−i321+i32−1+i32−1+i32−1−i32−1−i32−ii−ii1−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+ζ83
χ61111-1-11-11111−1+i32−1−i32−1+i32−1−i32-1-111-1-1−1+i32−1−i321−i321−i321+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+ζ83-1-1-111-11-1-1-1-11−i321+i321−i321+i3211-1-1111−i321+i32−1+i32−1+i32−1−i32−1−i32i−ii−i1−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
χ62111-1-1-1111111111-1-1-1-11111-1-1-1-1i−i−ii-11-11i−i−iii−i−ii-1-1-1111-1-1-1-1-1-1-1-1-11111-1-1-1-11111−iii−i1-11-1−iii−i−iii−i
χ63111-1-1-1111111111-1-1-1-11111-1-1-1-1−iii−i-11-11−iii−i−iii−i-1-1-1111-1-1-1-1-1-1-1-1-11111-1-1-1-11111i−i−ii1-11-1i−i−iii−i−ii
χ64111-1-1-111111−1−i32−1+i32−1−i32−1+i32-1-1-1-111−1−i32−1+i321+i321+i321−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+ζ79-1-1-1111-1-1-1-1-11+i321−i321+i321−i321111-1-11+i321−i32−1−i32−1−i32−1+i32−1+i32−iii−i−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−ζ79
χ65111-1-1-111111−1−i32−1+i32−1−i32−1+i32-1-1-1-111−1−i32−1+i321+i321+i321−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−ζ79-1-1-1111-1-1-1-1-11+i321−i321+i321−i321111-1-11+i321−i32−1−i32−1−i32−1+i32−1+i32i−i−ii−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
χ66111-1-1-111111−1+i32−1−i32−1+i32−1−i32-1-1-1-111−1+i32−1−i321−i321−i321+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+ζ83-1-1-1111-1-1-1-1-11−i321+i321−i321+i321111-1-11−i321+i32−1+i32−1+i32−1−i32−1−i32−iii−i−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−ζ83
χ67111-1-1-111111−1+i32−1−i32−1+i32−1−i32-1-1-1-111−1+i32−1−i321−i321−i321+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−ζ83-1-1-1111-1-1-1-1-11−i321+i321−i321+i321111-1-11−i321+i32−1+i32−1+i32−1−i32−1−i32i−i−ii−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
χ6822-22-2002-2-2222222-20000-2-22-22-20000000000000000-2-22-2200-222-2-2-2-2-2-22000022-22-220000000000000000
χ6922-22-2002-2-22−1−i3−1+i3−1−i3−1+i32-200001+i31−i3−1−i31+i3−1+i31−i30000000000000000-2-22-2200-222-21+i31−i31+i31−i3-220000−1−i3−1+i31+i3−1−i31−i3−1+i30000000000000000
χ7022-22-2002-2-22−1+i3−1−i3−1+i3−1−i32-200001−i31+i3−1+i31−i3−1−i31+i30000000000000000-2-22-2200-222-21−i31+i31−i31+i3-220000−1+i3−1−i31−i3−1+i31+i3−1−i30000000000000000
χ7122-2-22002-2-222222-220000-2-2-22-220000000000000000-2-222-200-222-2-2-2-2-22-20000222-22-20000000000000000
χ7222-2-22002-2-22−1−i3−1+i3−1−i3−1+i3-2200001+i31−i31+i3−1−i31−i3−1+i30000000000000000-2-222-200-222-21+i31−i31+i31−i32-20000−1−i3−1+i3−1−i31+i3−1+i31−i30000000000000000
χ7322-2-22002-2-22−1+i3−1−i3−1+i3−1−i3-2200001−i31+i31−i3−1+i31+i3−1−i30000000000000000-2-222-200-222-21−i31+i31−i31+i32-20000−1+i3−1−i3−1+i31−i3−1−i31+i30000000000000000
χ744-400000400-444-4-40000000000000000000000000000-4400000-4004-4-4440000000000000000000000000000
χ754-400000400-4−2−2i3−2+2i32+2i32−2i30000000000000000000000000000-4400000-40042+2i32−2i3−2−2i3−2+2i30000000000000000000000000000
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χ7866666-6-6-1-1-1-10000-1-111110000000000000000000000-6-6-6-6-6661111000011-1-1-1-10000000000000000000000
χ79666-6-66-6-1-1-1-1000011-1-1110000000000000000000000-6-6-666-6611110000-1-111-1-10000000000000000000000
χ80666-6-6-66-1-1-1-100001111-1-10000000000000000000000-6-6-6666-611110000-1-1-1-1110000000000000000000000
χ8166-66-600-111-10000-11−i7i7−i7i70000000000000000000000-6-66-66001-1-1100001-1i7−i7i7−i70000000000000000000000
χ8266-66-600-111-10000-11i7−i7i7−i70000000000000000000000-6-66-66001-1-1100001-1−i7i7−i7i70000000000000000000000
χ8366-6-6600-111-100001-1−i7i7i7−i70000000000000000000000-6-666-6001-1-110000-11i7−i7−i7i70000000000000000000000
χ8466-6-6600-111-100001-1i7−i7−i7i70000000000000000000000-6-666-6001-1-110000-11−i7i7i7−i70000000000000000000000
χ8512-1200000-2−2i72i7200000000000000000000000000000000-12120000022i7−2i7-200000000000000000000000000000000
χ8612-1200000-22i7−2i7200000000000000000000000000000000-1212000002−2i72i7-200000000000000000000000000000000

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