Finite Group Databasebeta

← Group #13057210

Character table — Group #13057210

Order 1344.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size11112222226666666666666666777777771414141414141414141414142828282828282828282828281111222222666666666666666677777777141414141414141414141414282828282828282828282828
order12224444447141414282828282828282828282828336666661212121212121212121212122244666612121212222244444414141414282828282828282828282828666666661212121212121212121212122244666612121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111−1−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+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111111111111111111111−1−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+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ411111111111111111111111111−1−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+i32-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i3211111111111111111111111111−1−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+i32-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i32
χ511111111111111111111111111−1+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−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211111111111111111111111111−1+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−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ611111111111111111111111111−1+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−i32-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i3211111111111111111111111111−1+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−i32-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i32
χ7111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11-11-11-11-11-11-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11-11-11-11-11-11-1
χ8111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-11-11-11-11-11-11111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-11-11-11-11-11-11
χ9111111-1-1-1-111111111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321+i321−i321−i321-11-1−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32111111-1-1-1-111111111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321+i321−i321−i321-11-1−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32
χ10111111-1-1-1-111111111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321+i321−i321−i32-11-111+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i32111111-1-1-1-111111111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321+i321−i321−i32-11-111+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i32
χ11111111-1-1-1-111111111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321−i321+i321+i321-11-1−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32111111-1-1-1-111111111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321−i321+i321+i321-11-1−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32
χ12111111-1-1-1-111111111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321−i321+i321+i32-11-111−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i32111111-1-1-1-111111111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321−i321+i321+i32-11-111−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i32
χ131111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-111-1-111-1-1-1-11-1-111-11-1-11-111111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-111-1-111-1-1-1-11-1-111-11-1-11-11
χ141111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-111-1-111-1-1-1-1-111-1-11-111-11-11111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-111-1-111-1-1-1-1-111-1-11-111-11-1
χ151111-1-111-1-11111-1-1-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i321−i321−i321-1-11−1−i321+i32−1+i321−i321+i32−1−i321−i32−1+i321111-1-111-1-11111-1-1-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i321−i321−i321-1-11−1−i321+i32−1+i321−i321+i32−1−i321−i32−1+i32
χ161111-1-111-1-11111-1-1-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i321−i321−i32-111-11+i32−1−i321−i32−1+i32−1−i321+i32−1+i321−i321111-1-111-1-11111-1-1-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i321−i321−i32-111-11+i32−1−i321−i32−1+i32−1−i321+i32−1+i321−i32
χ171111-1-111-1-11111-1-1-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i321+i321+i321-1-11−1+i321−i32−1−i321+i321−i32−1+i321+i32−1−i321111-1-111-1-11111-1-1-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i321+i321+i321-1-11−1+i321−i32−1−i321+i321−i32−1+i321+i32−1−i32
χ181111-1-111-1-11111-1-1-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i321+i321+i32-111-11−i32−1+i321+i32−1−i32−1+i321−i32−1−i321+i321111-1-111-1-11111-1-1-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i321+i321+i32-111-11−i32−1+i321+i32−1−i32−1+i321−i32−1−i321+i32
χ191111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1
χ201111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111
χ211111-1-1-1-1111111-1-1-1-1-1-1-1-11111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i3211-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321111-1-1-1-1111111-1-1-1-1-1-1-1-11111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i3211-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32
χ221111-1-1-1-1111111-1-1-1-1-1-1-1-11111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i32-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321111-1-1-1-1111111-1-1-1-1-1-1-1-11111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i32-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32
χ231111-1-1-1-1111111-1-1-1-1-1-1-1-11111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i3211-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321111-1-1-1-1111111-1-1-1-1-1-1-1-11111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i3211-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32
χ241111-1-1-1-1111111-1-1-1-1-1-1-1-11111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i32-1-1111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321111-1-1-1-1111111-1-1-1-1-1-1-1-11111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i32-1-1111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32
χ2522-2-2002i−2i0022-2-200002i2i−2i−2i0000222-22-2-2-2002i−2i002i−2i000000000000000022-2-2002i−2i0022-2-200002i2i−2i−2i0000222-22-2-2-2002i−2i002i−2i0000000000000000
χ2622-2-2002i−2i0022-2-200002i2i−2i−2i0000−1−i3−1+i3−1−i31+i3−1+i31−i31+i31−i3002ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ83002ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ79000000000000000022-2-2002i−2i0022-2-200002i2i−2i−2i0000−1−i3−1+i3−1−i31+i3−1+i31−i31+i31−i3002ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ83002ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ790000000000000000
χ2722-2-2002i−2i0022-2-200002i2i−2i−2i0000−1+i3−1−i3−1+i31−i3−1−i31+i31−i31+i3002ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ79002ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ83000000000000000022-2-2002i−2i0022-2-200002i2i−2i−2i0000−1+i3−1−i3−1+i31−i3−1−i31+i31−i31+i3002ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ79002ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ830000000000000000
χ2822-2-200−2i2i0022-2-20000−2i−2i2i2i0000222-22-2-2-200−2i2i00−2i2i000000000000000022-2-200−2i2i0022-2-20000−2i−2i2i2i0000222-22-2-2-200−2i2i00−2i2i0000000000000000
χ2922-2-200−2i2i0022-2-20000−2i−2i2i2i0000−1−i3−1+i3−1−i31+i3−1+i31−i31+i31−i300−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ832ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ8300−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ792ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79000000000000000022-2-200−2i2i0022-2-20000−2i−2i2i2i0000−1−i3−1+i3−1−i31+i3−1+i31−i31+i31−i300−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ832ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ8300−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ792ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ790000000000000000
χ3022-2-200−2i2i0022-2-20000−2i−2i2i2i0000−1+i3−1−i3−1+i31−i3−1−i31+i31−i31+i300−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ792ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ7900−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ832ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83000000000000000022-2-200−2i2i0022-2-20000−2i−2i2i2i0000−1+i3−1−i3−1+i31−i3−1−i31+i31−i31+i300−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ792ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ7900−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ832ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ830000000000000000
χ312-22-22i−2i00002-22-22i2i−2i−2i0000000022-22-22-2-22i−2i002i−2i0000000000000000002-22-22i−2i00002-22-22i2i−2i−2i0000000022-22-22-2-22i−2i002i−2i000000000000000000
χ322-22-22i−2i00002-22-22i2i−2i−2i00000000−1−i3−1+i31+i3−1−i31−i3−1+i31+i31−i32ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ83002ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ790000000000000000002-22-22i−2i00002-22-22i2i−2i−2i00000000−1−i3−1+i31+i3−1−i31−i3−1+i31+i31−i32ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ83002ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ79000000000000000000
χ332-22-22i−2i00002-22-22i2i−2i−2i00000000−1+i3−1−i31−i3−1+i31+i3−1−i31−i31+i32ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ79002ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ830000000000000000002-22-22i−2i00002-22-22i2i−2i−2i00000000−1+i3−1−i31−i3−1+i31+i3−1−i31−i31+i32ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ79002ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ83000000000000000000
χ342-22-2−2i2i00002-22-2−2i−2i2i2i0000000022-22-22-2-2−2i2i00−2i2i0000000000000000002-22-2−2i2i00002-22-2−2i−2i2i2i0000000022-22-22-2-2−2i2i00−2i2i000000000000000000
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χ372-2-2200002-22-2-220000000022-2-222-2-2-2-222000000002-22-20000000000002-2-2200002-22-2-220000000022-2-222-2-2-2-222000000002-22-2000000000000
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χ392-2-2200002-22-2-220000000022-2-2−1+i3−1−i31−i31−i31+i31+i3−1+i3−1−i300000000−1+i31−i3−1−i31+i30000000000002-2-2200002-22-2-220000000022-2-2−1+i3−1−i31−i31−i31+i31+i3−1+i3−1−i300000000−1+i31−i3−1−i31+i3000000000000
χ402-2-220000-222-2-2200000000-2-22222-2-2-2-22200000000-22-220000000000002-2-220000-222-2-2200000000-2-22222-2-2-2-22200000000-22-22000000000000
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χ422-2-220000-222-2-2200000000-2-222−1+i3−1−i31−i31−i31+i31+i3−1+i3−1−i3000000001−i3−1+i31+i3−1−i30000000000002-2-220000-222-2-2200000000-2-222−1+i3−1−i31−i31−i31+i31+i3−1+i3−1−i3000000001−i3−1+i31+i3−1−i3000000000000
χ436666666666-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000006666666666-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000
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χ591111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ601111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ6111111111111111111111111111−1−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+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321+i321−i321−i321+i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321−i321−i32-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i32
χ6211111111111111111111111111−1−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+i32-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321+i321−i321−i321+i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321−i321−i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ6311111111111111111111111111−1+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−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321−i321+i321+i321−i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321+i321+i32-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i32
χ6411111111111111111111111111−1+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−i32-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321−i321+i321+i321−i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321+i321+i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ65111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11-11-11-11-11-11-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-11-11-11-11-11-11
χ66111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-11-11-11-11-11-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111111-11-11-11-11-11-1
χ67111111-1-1-1-111111111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321+i321−i321−i321-11-1−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111+i321−i321+i321+i321−i321−i321+i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-11-111+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i32
χ68111111-1-1-1-111111111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321+i321−i321−i32-11-111+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i32-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111+i321−i321+i321+i321−i321−i321+i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321-11-1−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32
χ69111111-1-1-1-111111111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321−i321+i321+i321-11-1−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111−i321+i321−i321−i321+i321+i321−i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-11-111−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i32
χ70111111-1-1-1-111111111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321−i321+i321+i32-11-111−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i32-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111−i321+i321−i321−i321+i321+i321−i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321-11-1−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32
χ711111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-111-1-111-1-1-1-11-1-111-11-1-11-11-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-111-1-11-111-11-1
χ721111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-111-1-111-1-1-1-1-111-1-11-111-11-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111111-1-111-11-1-11-11
χ731111-1-111-1-11111-1-1-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i321−i321−i321-1-11−1−i321+i32−1+i321−i321+i32−1−i321−i32−1+i32-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111+i321−i321+i321+i321−i321−i321+i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-111-11+i32−1−i321−i32−1+i32−1−i321+i32−1+i321−i32
χ741111-1-111-1-11111-1-1-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i321−i321−i32-111-11+i32−1−i321−i32−1+i32−1−i321+i32−1+i321−i32-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111+i321−i321+i321+i321−i321−i321+i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1+i32−1+i321-1-11−1−i321+i32−1+i321−i321+i32−1−i321−i32−1+i32
χ751111-1-111-1-11111-1-1-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i321+i321+i321-1-11−1+i321−i32−1−i321+i321−i32−1+i321+i32−1−i32-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111−i321+i321−i321−i321+i321+i321−i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-111-11−i32−1+i321+i32−1−i32−1+i321−i32−1−i321+i32
χ761111-1-111-1-11111-1-1-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i321+i321+i32-111-11−i32−1+i321+i32−1−i32−1+i321−i32−1−i321+i32-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111−i321+i321−i321−i321+i321+i321−i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1−i32−1−i321-1-11−1+i321−i32−1−i321+i321−i32−1+i321+i32−1−i32
χ771111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111
χ781111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1
χ791111-1-1-1-1111111-1-1-1-1-1-1-1-11111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i3211-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11+i321−i321+i321+i321−i321−i321+i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321−i321−i32-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32
χ801111-1-1-1-1111111-1-1-1-1-1-1-1-11111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i32-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11+i321−i321+i321+i321−i321−i321+i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321−i321−i3211-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32
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Here ζ is a primitive root of unity of order 84 (ζ84 = 1); i = ζ21.