Finite Group Databasebeta

← Group #11919548

Character table — Group #11919548

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size111111111111222222222222222222333333333333444444444444444444444444444444444444666666666666666666888888888888888888888888888888888888121212121212121212121212161616161616161616161616161616161616161616161616
order1233446612121212244444661212121212121212121222446666121212122333333466666666881212121212121212121212121212242424242444446612121212121212121212666666121212121212121212121212121212121212121212121212121212121212246688121224242424666666121212121212242424242424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−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+i321111111111111111111111−1−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+i32−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ31111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+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−i321111111111111111111111−1+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−i32−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ4111111111111111111111111111111111111111111-1111111-1-1-1111111-1-1-1-1111111111111-1-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ5111111111111111111111111111111111111111111-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1111111111111111111−1−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+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321−i321−i321−i321+i321+i321+i321−i321−i321−i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32
χ6111111111111111111111111111111111111111111-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1111111111111111111−1+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−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321+i321+i321+i321−i321−i321−i321+i321+i321+i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32
χ711111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111-1-111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ811111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321111-1-111-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32
χ911111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321111-1-111-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32
χ1011111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1111111-1-1-111111111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111-1-1-1-11111-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32-1-1-1-111-1-111111+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+i32−1+i32−1+i32−1+i32−1+i32
χ1211111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111-1-1-1-11111-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32-1-1-1-111-1-111111−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−i32−1−i32−1−i32−1−i32−1−i32
χ131111-1-111-1-1-1-1-11ii−i−i-1-111iiii−i−i−i−i11-1-11111-1-1-1-11111111-111111111i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i-11ii−i−i-1-111iiii−i−i−i−i-1-1-1-1-1-1111111iiiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−i1-111i−i-1-1ii−i−i111111-1-1-1-1-1-1iii−i−i−iiii−i−i−i
χ141111-1-111-1-1-1-1-11ii−i−i-1-111iiii−i−i−i−i11-1-11111-1-1-1-11−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32i−i-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32ii−i−i-11ii−i−i-1-111iiii−i−i−i−i1+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32ζ11ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11ζ7ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ71-111i−i-1-1ii−i−i−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i32ζ11ζ11ζ11−ζ11−ζ11−ζ11ζ7ζ7ζ7−ζ7−ζ7−ζ7
χ151111-1-111-1-1-1-1-11ii−i−i-1-111iiii−i−i−i−i11-1-11111-1-1-1-11−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32i−i-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32ii−i−i-11ii−i−i-1-111iiii−i−i−i−i1−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32ζ7ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7ζ11ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ111-111i−i-1-1ii−i−i−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i32ζ7ζ7ζ7−ζ7−ζ7−ζ7ζ11ζ11ζ11−ζ11−ζ11−ζ11
χ161111-1-111-1-1-1-1-11ii−i−i-1-111iiii−i−i−i−i11-1-11111-1-1-1-1-11111111-1-1111111−ii11-1-1-1-1-1-1-1-1-1-1-1-1−i−iii-11ii−i−i-1-111iiii−i−i−i−i-1-1-1-1-1-1111111iiiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−i-11-1-1−ii11−i−iii-1-1-1-1-1-1111111−i−i−iiii−i−i−iiii
χ171111-1-111-1-1-1-1-11ii−i−i-1-111iiii−i−i−i−i11-1-11111-1-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−ii111+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32−i−iii-11ii−i−i-1-111iiii−i−i−i−i1+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32ζ11ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11ζ7ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7-11-1-1−ii11−i−iii1+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−ζ11−ζ11−ζ11ζ11ζ11ζ11−ζ7−ζ7−ζ7ζ7ζ7ζ7
χ181111-1-111-1-1-1-1-11ii−i−i-1-111iiii−i−i−i−i11-1-11111-1-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−ii111−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32−i−iii-11ii−i−i-1-111iiii−i−i−i−i1−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32ζ7ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7ζ11ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11-11-1-1−ii11−i−iii1−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−ζ7−ζ7−ζ7ζ7ζ7ζ7−ζ11−ζ11−ζ11ζ11ζ11ζ11
χ191111-1-111-1-1-1-1-11−i−iii-1-111−i−i−i−iiiii11-1-11111-1-1-1-11111111-111111111−ii-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii-11−i−iii-1-111−i−i−i−iiiii-1-1-1-1-1-1111111−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiiiiii1-111−ii-1-1−i−iii111111-1-1-1-1-1-1−i−i−iiii−i−i−iiii
χ201111-1-111-1-1-1-1-11−i−iii-1-111−i−i−i−iiiii11-1-11111-1-1-1-11−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−ii-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32−i−iii-11−i−iii-1-111−i−i−i−iiiii1+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11ζ11ζ11−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7ζ7ζ71-111−ii-1-1−i−iii−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i32−ζ11−ζ11−ζ11ζ11ζ11ζ11−ζ7−ζ7−ζ7ζ7ζ7ζ7
χ211111-1-111-1-1-1-1-11−i−iii-1-111−i−i−i−iiiii11-1-11111-1-1-1-11−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−ii-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32−i−iii-11−i−iii-1-111−i−i−i−iiiii1−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7ζ7ζ7−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11ζ11ζ111-111−ii-1-1−i−iii−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i32−ζ7−ζ7−ζ7ζ7ζ7ζ7−ζ11−ζ11−ζ11ζ11ζ11ζ11
χ221111-1-111-1-1-1-1-11−i−iii-1-111−i−i−i−iiiii11-1-11111-1-1-1-1-11111111-1-1111111i−i11-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i-11−i−iii-1-111−i−i−i−iiiii-1-1-1-1-1-1111111−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiiiiii-11-1-1i−i11ii−i−i-1-1-1-1-1-1111111iii−i−i−iiii−i−i−i
χ231111-1-111-1-1-1-1-11−i−iii-1-111−i−i−i−iiiii11-1-11111-1-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32i−i111+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32ii−i−i-11−i−iii-1-111−i−i−i−iiiii1+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11ζ11ζ11−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7ζ7ζ7-11-1-1i−i11ii−i−i1+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32ζ11ζ11ζ11−ζ11−ζ11−ζ11ζ7ζ7ζ7−ζ7−ζ7−ζ7
χ241111-1-111-1-1-1-1-11−i−iii-1-111−i−i−i−iiiii11-1-11111-1-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32i−i111−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32ii−i−i-11−i−iii-1-111−i−i−i−iiiii1−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7ζ7ζ7−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11ζ11ζ11-11-1-1i−i11ii−i−i1−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32ζ7ζ7ζ7−ζ7−ζ7−ζ7ζ11ζ11ζ11−ζ11−ζ11−ζ11
χ2511−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−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+i3211−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−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+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ2611−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−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+i321−1−i32−1+i321−1+i321−1−i321−1−i32−1+i32−1−i32−1+i321−1+i321−1−i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32111111−1−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+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i3211−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1−i32−1+i321−1+i321−1−i32−1+i321−1−i32
χ2711−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−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+i321−1+i321−1−i32−1−i32−1+i3211−1−i32−1+i32−1+i321−1−i32−1−i32−1+i32111−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1+i321−1−i32−1−i32−1+i321−1−i32−1+i321
χ2811−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−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+i32-11−1−i32−1+i321−1−i32−1+i32-11+i321−i321−1−i32−1+i321−1−i32−1+i32-1-11+i321−i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321+i321−i321+i321−i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321−i32-1-11+i321−i321+i321−i321+i321−i32-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i32
χ2911−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−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−i32−1+i321−1+i321−1−i32-11+i321−i32−1−i32−1+i321−1+i321−1−i32-1-11+i321−i32−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i3211−1−i32−1−i321+i321−i321+i321−i32111111−1−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+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32-1-11+i321−i32-1-11+i321−i321+i321−i321+i321−i321+i321−i32-11−i32-11+i321+i321−i32-11−i32-11+i321+i321−i32-11+i321−i32-11−i32-11+i321−i32-11+i32
χ3011−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−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+i321−1−i32−1−i32−1+i321-11+i321−i32−1+i321−1−i32−1−i32−1+i321-1-11+i321−i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32111+i321−i321+i321−i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211-1-11+i321−i32-1-11+i321−i321+i321−i321+i321−i321−i32-11+i321+i321−i32-11−i32-11+i321+i321−i32-11−i32-11+i321−i32-11+i321+i321−i32-11+i321−i32-1
χ3111−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-1−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321+i321−i321+i321−i3211-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i3211−1−i32−1+i32-1-1−1−i32−1+i321+i321−i321+i321−i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i32
χ3211−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1+i321−1−i321−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i3211−1−i32−1−i321+i321−i321+i321−i3211-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i321+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-11−i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i3211−1−i32−1+i32-1-1−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i321+i321−i32-11+i321−i32-11−i32-11+i321−i32-11+i32
χ3311−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−1+i321−1−i32−1−i32−1+i3211−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321-1-1−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32111+i321−i321+i321−i3211-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i3211−i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-111−1−i32−1+i32-1-1−1−i32−1+i321+i321−i321+i321−i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i3211−i32-11+i321−i32-11+i321+i321−i32-11+i321−i32-1
χ3411−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-11−1−i32−1+i321−1−i32−1+i32-11+i321−i321−1−i32−1+i321−1−i32−1+i32111+i321−i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i3211-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-11+i321−i32111+i321−i32−1−i32−1+i32−1−i32−1+i32-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ3511−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-1−1−i32−1+i321−1+i321−1−i32-11+i321−i32−1−i32−1+i321−1+i321−1−i32111+i321−i32−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1−i32−1+i3211-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i321+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-11−i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i32-1-11+i321−i32111+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32-11−i32-11+i321+i321−i32-11−i32-11+i32−1−i32−1+i321−1−i32−1+i321−1+i321−1−i32−1+i321−1−i32
χ3611−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-1−1+i321−1−i32−1−i32−1+i321-11+i321−i32−1+i321−1−i32−1−i32−1+i321111+i321−i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i3211-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i3211−i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-1-1-11+i321−i32111+i321−i32−1−i32−1+i32−1−i32−1+i321−i32-11+i321+i321−i32-11−i32-11+i321+i321−i32-1−1+i321−1−i32−1+i321−1−i32−1−i32−1+i321−1−i32−1+i321
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.