Finite Group Databasebeta

← Group #13052029

Character table — Group #13052029

Order 1344.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size1122244666677771212121212121414141414142828282828282828282828282828282811222446666777712121212121214141414141428282828282828282828282828282828
order122448871428283366142856565656661212121222666688242424242424242422244881414282866661428565656566612121212226666882424242424242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−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+i3211−1−i32−1−i32−1+i32−1+i3211−1−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+i32-1-11+i321+i321−i321−i32-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i3211111111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32-1-1−1−i32−1−i32−1+i32−1+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−i3211−1+i32−1+i32−1−i32−1−i3211−1+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−i3211−1+i32−1+i32−1−i32−1−i3211−1+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−i32-1-11−i321−i321+i321+i32-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i3211111111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32
χ711111-1-11111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111-1-11111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1
χ811111-1-11111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1111111111-1-11111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111
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−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i321+i321+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−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i321+i321+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+i32-1-11+i321+i321−i321−i32111+i321+i321−i321−i32−1−i32−1−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+i32-1-11+i321+i321−i321−i32111+i321+i321−i321−i32−1−i32−1−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+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i321−i321−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+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i321−i321−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−i32-1-11−i321−i321+i321+i32111−i321−i321+i321+i32−1+i32−1+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−i32-1-11−i321−i321+i321+i32111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32
χ13111-1-1i−i11-1-111111-1ii−i−i11-1-1-1-11-11-11-1i−ii−ii−ii−ii−i111-1-1i−i11-1-111111-1ii−i−i11-1-1-1-11-11-11-1i−ii−ii−ii−ii−i
χ14111-1-1i−i11-1-111111-1ii−i−i11-1-1-1-1-11-11-11−iii−ii−i−ii−ii111-1-1i−i11-1-111111-1ii−i−i11-1-1-1-1-11-11-11−iii−ii−i−ii−ii
χ15111-1-1i−i11-1-1−1−i32−1+i32−1−i32−1+i321-1ii−i−i−1−i32−1+i321+i321+i321−i321−i321-1−1−i321+i32−1+i321−i32i−iζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79111-1-1i−i11-1-1−1−i32−1+i32−1−i32−1+i321-1ii−i−i−1−i32−1+i321+i321+i321−i321−i321-1−1−i321+i32−1+i321−i32i−iζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79
χ16111-1-1i−i11-1-1−1−i32−1+i32−1−i32−1+i321-1ii−i−i−1−i32−1+i321+i321+i321−i321−i32-111+i32−1−i321−i32−1+i32−iiζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79111-1-1i−i11-1-1−1−i32−1+i32−1−i32−1+i321-1ii−i−i−1−i32−1+i321+i321+i321−i321−i32-111+i32−1−i321−i32−1+i32−iiζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79
χ17111-1-1i−i11-1-1−1+i32−1−i32−1+i32−1−i321-1ii−i−i−1+i32−1−i321−i321−i321+i321+i321-1−1+i321−i32−1−i321+i32i−iζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83111-1-1i−i11-1-1−1+i32−1−i32−1+i32−1−i321-1ii−i−i−1+i32−1−i321−i321−i321+i321+i321-1−1+i321−i32−1−i321+i32i−iζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83
χ18111-1-1i−i11-1-1−1+i32−1−i32−1+i32−1−i321-1ii−i−i−1+i32−1−i321−i321−i321+i321+i32-111−i32−1+i321+i32−1−i32−iiζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83111-1-1i−i11-1-1−1+i32−1−i32−1+i32−1−i321-1ii−i−i−1+i32−1−i321−i321−i321+i321+i32-111−i32−1+i321+i32−1−i32−iiζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83
χ19111-1-1−ii11-1-111111-1−i−iii11-1-1-1-11-11-11-1−ii−ii−ii−ii−ii111-1-1−ii11-1-111111-1−i−iii11-1-1-1-11-11-11-1−ii−ii−ii−ii−ii
χ20111-1-1−ii11-1-111111-1−i−iii11-1-1-1-1-11-11-11i−i−ii−iii−ii−i111-1-1−ii11-1-111111-1−i−iii11-1-1-1-1-11-11-11i−i−ii−iii−ii−i
χ21111-1-1−ii11-1-1−1−i32−1+i32−1−i32−1+i321-1−i−iii−1−i32−1+i321+i321+i321−i321−i321-1−1−i321+i32−1+i321−i32−ii−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79111-1-1−ii11-1-1−1−i32−1+i32−1−i32−1+i321-1−i−iii−1−i32−1+i321+i321+i321−i321−i321-1−1−i321+i32−1+i321−i32−ii−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79
χ22111-1-1−ii11-1-1−1−i32−1+i32−1−i32−1+i321-1−i−iii−1−i32−1+i321+i321+i321−i321−i32-111+i32−1−i321−i32−1+i32i−i−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79111-1-1−ii11-1-1−1−i32−1+i32−1−i32−1+i321-1−i−iii−1−i32−1+i321+i321+i321−i321−i32-111+i32−1−i321−i32−1+i32i−i−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79
χ23111-1-1−ii11-1-1−1+i32−1−i32−1+i32−1−i321-1−i−iii−1+i32−1−i321−i321−i321+i321+i321-1−1+i321−i32−1−i321+i32−ii−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83111-1-1−ii11-1-1−1+i32−1−i32−1+i32−1−i321-1−i−iii−1+i32−1−i321−i321−i321+i321+i321-1−1+i321−i32−1−i321+i32−ii−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83
χ24111-1-1−ii11-1-1−1+i32−1−i32−1+i32−1−i321-1−i−iii−1+i32−1−i321−i321−i321+i321+i32-111−i32−1+i321+i32−1−i32i−i−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83111-1-1−ii11-1-1−1+i32−1−i32−1+i32−1−i321-1−i−iii−1+i32−1−i321−i321−i321+i321+i32-111−i32−1+i321+i32−1−i32i−i−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83
χ2522-22-20022222222-2-20000-2-22-22-2000000000000000022-22-20022222222-2-20000-2-22-22-20000000000000000
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χ2822-2-220022-2-22222-220000-2-2-22-22000000000000000022-2-220022-2-22222-220000-2-2-22-220000000000000000
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χ3022-2-220022-2-2−1+i3−1−i3−1+i3−1−i3-2200001−i31+i31−i3−1+i31+i3−1−i3000000000000000022-2-220022-2-2−1+i3−1−i3−1+i3−1−i3-2200001−i31+i31−i3−1+i31+i3−1−i30000000000000000
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χ334-4000004-400−2+2i3−2−2i32−2i32+2i300000000000000000000000000004-4000004-400−2+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
χ36666-6-66i−6i-1-1110000-11−i−iii0000000000000000000000666-6-66i−6i-1-1110000-11−i−iii0000000000000000000000
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χ3966-66-600-1-1-1-1000011i7−i7i7−i7000000000000000000000066-66-600-1-1-1-1000011i7−i7i7−i70000000000000000000000
χ4066-6-6600-1-11100001-17−7−77000000000000000000000066-6-6600-1-11100001-17−7−770000000000000000000000
χ4166-6-6600-1-11100001-1−777−7000000000000000000000066-6-6600-1-11100001-1−777−70000000000000000000000
χ4212-1200000-2227−270000000000000000000000000000000012-1200000-2227−2700000000000000000000000000000000
χ4312-1200000-22−27270000000000000000000000000000000012-1200000-22−272700000000000000000000000000000000
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
χ45111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ4611111111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−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−i32-1-11+i321+i321−i321−i32-1-11+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+i32-1-11+i321+i321−i321−i32-1-1−1−i32−1−i32−1+i32−1+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−i3211−1−i32−1−i32−1+i32−1+i32111+i321+i321−i321−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−i3211−1+i32−1+i32−1−i32−1−i3211−1+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+i32-1-11−i321−i321+i321+i32-1-11−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−i32-1-11−i321−i321+i321+i32-1-1−1+i32−1+i32−1−i32−1−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+i3211−1+i32−1+i32−1−i32−1−i32111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32
χ5011111-1-11111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ5111111-1-11111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-11111-1-1-1-1
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−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i321+i321+i321−i321−i32-1-1-1-1-111-1-1-1-11+i321−i321+i321−i32-1-111111+i321−i321+i321+i321−i321−i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1−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+i32-1-11+i321+i321−i321−i32111+i321+i321−i321−i32−1−i32−1−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−i32−1−i32−1+i32−1+i32-1-1−1−i32−1−i32−1+i32−1+i321+i321+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+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i321−i321−i321+i321+i32-1-1-1-1-111-1-1-1-11−i321+i321−i321+i32-1-111111−i321+i321−i321−i321+i321+i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1+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−i32-1-11−i321−i321+i321+i32111−i321−i321+i321+i32−1+i32−1+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+i32−1+i32−1−i32−1−i32-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32
χ56111-1-1i−i11-1-111111-1ii−i−i11-1-1-1-11-11-11-1i−ii−ii−ii−ii−i-1-1-111−ii-1-111-1-1-1-1-11−i−iii-1-11111-11-11-11−ii−ii−ii−ii−ii
χ57111-1-1i−i11-1-111111-1ii−i−i11-1-1-1-1-11-11-11−iii−ii−i−ii−ii-1-1-111−ii-1-111-1-1-1-1-11−i−iii-1-111111-11-11-1i−i−ii−iii−ii−i
χ58111-1-1i−i11-1-1−1−i32−1+i32−1−i32−1+i321-1ii−i−i−1−i32−1+i321+i321+i321−i321−i321-1−1−i321+i32−1+i321−i32i−iζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79-1-1-111−ii-1-1111+i321−i321+i321−i32-11−i−iii1+i321−i32−1−i32−1−i32−1+i32−1+i32-111+i32−1−i321−i32−1+i32−ii−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79
χ59111-1-1i−i11-1-1−1−i32−1+i32−1−i32−1+i321-1ii−i−i−1−i32−1+i321+i321+i321−i321−i32-111+i32−1−i321−i32−1+i32−iiζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79-1-1-111−ii-1-1111+i321−i321+i321−i32-11−i−iii1+i321−i32−1−i32−1−i32−1+i32−1+i321-1−1−i321+i32−1+i321−i32i−i−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79
χ60111-1-1i−i11-1-1−1+i32−1−i32−1+i32−1−i321-1ii−i−i−1+i32−1−i321−i321−i321+i321+i321-1−1+i321−i32−1−i321+i32i−iζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83-1-1-111−ii-1-1111−i321+i321−i321+i32-11−i−iii1−i321+i32−1+i32−1+i32−1−i32−1−i32-111−i32−1+i321+i32−1−i32−ii−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83
χ61111-1-1i−i11-1-1−1+i32−1−i32−1+i32−1−i321-1ii−i−i−1+i32−1−i321−i321−i321+i321+i32-111−i32−1+i321+i32−1−i32−iiζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83-1-1-111−ii-1-1111−i321+i321−i321+i32-11−i−iii1−i321+i32−1+i32−1+i32−1−i32−1−i321-1−1+i321−i32−1−i321+i32i−i−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83
χ62111-1-1−ii11-1-111111-1−i−iii11-1-1-1-11-11-11-1−ii−ii−ii−ii−ii-1-1-111i−i-1-111-1-1-1-1-11ii−i−i-1-11111-11-11-11i−ii−ii−ii−ii−i
χ63111-1-1−ii11-1-111111-1−i−iii11-1-1-1-1-11-11-11i−i−ii−iii−ii−i-1-1-111i−i-1-111-1-1-1-1-11ii−i−i-1-111111-11-11-1−iii−ii−i−ii−ii
χ64111-1-1−ii11-1-1−1−i32−1+i32−1−i32−1+i321-1−i−iii−1−i32−1+i321+i321+i321−i321−i321-1−1−i321+i32−1+i321−i32−ii−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79-1-1-111i−i-1-1111+i321−i321+i321−i32-11ii−i−i1+i321−i32−1−i32−1−i32−1+i32−1+i32-111+i32−1−i321−i32−1+i32i−iζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79
χ65111-1-1−ii11-1-1−1−i32−1+i32−1−i32−1+i321-1−i−iii−1−i32−1+i321+i321+i321−i321−i32-111+i32−1−i321−i32−1+i32i−i−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79-1-1-111i−i-1-1111+i321−i321+i321−i32-11ii−i−i1+i321−i32−1−i32−1−i32−1+i32−1+i321-1−1−i321+i32−1+i321−i32−iiζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79
χ66111-1-1−ii11-1-1−1+i32−1−i32−1+i32−1−i321-1−i−iii−1+i32−1−i321−i321−i321+i321+i321-1−1+i321−i32−1−i321+i32−ii−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83-1-1-111i−i-1-1111−i321+i321−i321+i32-11ii−i−i1−i321+i32−1+i32−1+i32−1−i32−1−i32-111−i32−1+i321+i32−1−i32i−iζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83
χ67111-1-1−ii11-1-1−1+i32−1−i32−1+i32−1−i321-1−i−iii−1+i32−1−i321−i321−i321+i321+i32-111−i32−1+i321+i32−1−i32i−i−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83-1-1-111i−i-1-1111−i321+i321−i321+i32-11ii−i−i1−i321+i32−1+i32−1+i32−1−i32−1−i321-1−1+i321−i32−1−i321+i32−iiζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83
χ6822-22-20022222222-2-20000-2-22-22-20000000000000000-2-22-2200-2-2-2-2-2-2-2-222000022-22-220000000000000000
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χ7122-2-220022-2-22222-220000-2-2-22-220000000000000000-2-222-200-2-222-2-2-2-22-20000222-22-20000000000000000
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χ8612-1200000-22−272700000000000000000000000000000000-1212000002-227−2700000000000000000000000000000000

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