Finite Group Databasebeta

← Group #13062314

Character table — Group #13062314

Order 1344.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136
size111111111111111133333333333333333333333333333333666666666666666666666666666666666666666666666666666666662828282828282828282828282828282828282828282828282828282828282828
order12222222444444447714141414141414141414141414142828282828282828282828282828282822224444141414141414141414141414141414141414141414141414282828282828282828282828282828282828282828282828336666666666666612121212121212121212121212121212
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111−1−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−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111−1+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+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ411111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ511111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111−1−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+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32
χ611111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111−1+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−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ7111-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ8111-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ9111-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ10111-1-1-1-11-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111
χ11111-1-1-1-11-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ12111-1-1-1-11-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ131-1-111-1-1111-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11-11-11-11-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-111-1-11111-1-111-1-111-1-111-1-1
χ141-1-111-1-1111-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11-11-11-11-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1−1−i32−1+i321+i321+i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ151-1-111-1-1111-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11-11-11-11-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1−1+i32−1−i321−i321−i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ161-1-111-1-11-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-11-111-11-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-111
χ171-1-111-1-11-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-11-111-11-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1−1−i32−1+i321+i321+i32−1−i32−1−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−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ181-1-111-1-11-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-11-111-11-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1−1+i32−1−i321−i321−i32−1+i32−1+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+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ191-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111-1-111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ201-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111-1-111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111−1−i32−1+i321+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ211-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111-1-111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111−1+i32−1−i321−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ221-1-1-1-1111-1-11111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-111-11-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ231-1-1-1-1111-1-11111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-111-11-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111−1−i32−1+i321+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ241-1-1-1-1111-1-11111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-111-11-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111−1+i32−1−i321−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ2522-22-22-2-22i−2i2i−2i2i−2i2i−2i2222-2-222-2-222-2-2-2-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000000000000000000000000-1-11-11-11-11-11-11-111i−ii−ii−ii−ii−ii−ii−ii−i
χ2622-22-22-2-22i−2i2i−2i2i−2i2i−2i2222-2-222-2-222-2-2-2-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000000000001+i321−i32−1−i321+i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i32−1+i32ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+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−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79
χ2722-22-22-2-22i−2i2i−2i2i−2i2i−2i2222-2-222-2-222-2-2-2-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000000000001−i321+i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32−1−i321+i32−1+i32−1−i32ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+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−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83
χ2822-22-22-2-2−2i2i−2i2i−2i2i−2i2i2222-2-222-2-222-2-2-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000000000000000000000000000-1-11-11-11-11-11-11-111−ii−ii−ii−ii−ii−ii−ii−ii
χ2922-22-22-2-2−2i2i−2i2i−2i2i−2i2i2222-2-222-2-222-2-2-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000000000001+i321−i32−1−i321+i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32−1+i321−i32−1−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−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−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79
χ3022-22-22-2-2−2i2i−2i2i−2i2i−2i2i2222-2-222-2-222-2-2-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000000000001−i321+i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32−1−i321+i32−1+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−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−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83
χ3122-2-22-22-22i−2i2i−2i−2i2i−2i2i2222-2-2-2-222-2-222-2-22i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000000000000000000000000000-1-11-1-11-111-1-11-1111i−ii−i−ii−iii−ii−i−ii−ii
χ3222-2-22-22-22i−2i2i−2i−2i2i−2i2i2222-2-2-2-222-2-222-2-22i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000000000001+i321−i32−1−i321+i321+i32−1−i321+i32−1−i32−1+i321−i321−i32−1+i321−i32−1+i32−1−i32−1+i32ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−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−ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79
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χ12366-66-66-6-6−6i6i−6i6i−6i6i−6i6i−1−i7−1+i7−1−i7−1+i71+i71−i7−1−i7−1+i71+i71−i7−1−i7−1+i71+i71−i71+i71−i7−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ830000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12466-66-66-6-6−6i6i−6i6i−6i6i−6i6i−1+i7−1−i7−1+i7−1−i71−i71+i7−1+i7−1−i71−i71+i7−1+i7−1−i71−i71+i71−i71+i7−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ790000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12566-6-66-66-66i−6i6i−6i−6i6i−6i6i−1−i7−1+i7−1−i7−1+i71+i71−i71+i71−i7−1−i7−1+i71+i71−i7−1−i7−1+i71+i71−i72ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ830000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12666-6-66-66-66i−6i6i−6i−6i6i−6i6i−1+i7−1−i7−1+i7−1−i71−i71+i71−i71+i7−1+i7−1−i71−i71+i7−1+i7−1−i71−i71+i72ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ790000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12766-6-66-66-6−6i6i−6i6i6i−6i6i−6i−1−i7−1+i7−1−i7−1+i71+i71−i71+i71−i7−1−i7−1+i71+i71−i7−1−i7−1+i71+i71−i7−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ830000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12866-6-66-66-6−6i6i−6i6i6i−6i6i−6i−1+i7−1−i7−1+i7−1−i71−i71+i71−i71+i7−1+i7−1−i71−i71+i7−1+i7−1−i71−i71+i7−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ790000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1296-666-6-66-66i−6i−6i6i6i−6i−6i6i−1−i7−1+i71+i71−i7−1−i7−1+i7−1−i7−1+i71+i71−i71+i71−i7−1−i7−1+i71+i71−i72ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ830000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1306-666-6-66-66i−6i−6i6i6i−6i−6i6i−1+i7−1−i71−i71+i7−1+i7−1−i7−1+i7−1−i71−i71+i71−i71+i7−1+i7−1−i71−i71+i72ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ790000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1316-666-6-66-6−6i6i6i−6i−6i6i6i−6i−1−i7−1+i71+i71−i7−1−i7−1+i7−1−i7−1+i71+i71−i71+i71−i7−1−i7−1+i71+i71−i7−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ830000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1326-666-6-66-6−6i6i6i−6i−6i6i6i−6i−1+i7−1−i71−i71+i7−1+i7−1−i7−1+i7−1−i71−i71+i71−i71+i7−1+i7−1−i71−i71+i7−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ790000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1336-66-666-6-66i−6i−6i6i−6i6i6i−6i−1−i7−1+i71+i71−i7−1−i7−1+i71+i71−i7−1−i7−1+i7−1−i7−1+i71+i71−i71+i71−i72ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ830000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1346-66-666-6-66i−6i−6i6i−6i6i6i−6i−1+i7−1−i71−i71+i7−1+i7−1−i71−i71+i7−1+i7−1−i7−1+i7−1−i71−i71+i71−i71+i72ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ790000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1356-66-666-6-6−6i6i6i−6i6i−6i−6i6i−1−i7−1+i71+i71−i7−1−i7−1+i71+i71−i7−1−i7−1+i7−1−i7−1+i71+i71−i71+i71−i7−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ830000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1366-66-666-6-6−6i6i6i−6i6i−6i−6i6i−1+i7−1−i71−i71+i7−1+i7−1−i71−i71+i7−1+i7−1−i7−1+i7−1−i71−i71+i71−i71+i7−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ790000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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