Finite Group Databasebeta

← Group #10679005

Character table — Group #10679005

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174
size111111111111222222222222222222222222222222222222222222444444444444444444444444444444444444444444444444444444444444444444444444888888888888888888888888888888888888888888888888
order1233446612121212222222244444446666666666666612121212121212121212121212122222222222224444444444446666666666666666666666661212121212121212121212121212121212121212121212122244444444444444666612121212121212121212121212121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ5111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ8111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ9111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-111-1-111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ10111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-1-111-1-111-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ11111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-111-1-1-1-111-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ12111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11-1-11111-1-111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ13111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111-11-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ14111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-1111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ15111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-11-1-1-111-1-11111-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ16111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-1111-1-111-1-1-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ171111-1-111-1-1-1-11111111-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-11-11-11-11-11-11-11-11-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-11-1-111-11-11-11-11-11-111-1-1-1-11111-1-111-1-111-1-111-1-111-1-111-1-1
χ181111-1-111-1-1-1-11111111-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-11-11-11-11-11-11-11-11-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1-111-1-11-11-11-11-11-11-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-111
χ191111-1-111-1-1-1-11111111-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11-11-11-111-11-1-11-11-11-1111-1-111-1-1-1-111-1-111-1-111-1-11111-1-111-1-1-1-111-1-111-1-111-1-1111-1-111-11-1-11-11-11-1111-1-1-1-11111-1-111-1-1-1-111-1-111-1-111-1-111
χ201111-1-111-1-1-1-11111111-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11-11-11-111-11-1-11-11-11-1111-1-111-1-1-1-111-1-111-1-111-1-11111-1-111-1-1-1-111-1-111-1-111-1-111-111-1-11-111-11-11-11-1-1-11111-1-1-1-111-1-11111-1-111-1-111-1-111-1-1
χ211111-1-111-1-1-1-11111111-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-11-1-11-11-11-111-11-1-11-11-1-111-1-11111-1-111-1-1-1-111-1-111-1-111-1-11111-1-111-1-1-1-111-1-1111-1-11-11-111-11-1-11-1111-1-1-1-111-1-111-1-11111-1-111-1-1-1-111-1-111
χ221111-1-111-1-1-1-11111111-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-11-1-11-11-11-111-11-1-11-11-1-111-1-11111-1-111-1-1-1-111-1-111-1-111-1-11111-1-111-1-1-1-111-1-111-111-11-11-1-11-111-11-1-1-11111-1-111-1-111-1-1-1-111-1-11111-1-111-1-1
χ231111-1-111-1-1-1-11111111-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-111-11-1-11-11-11-111-11-1-1-111-1-111-1-111-1-11111-1-111-1-1-1-111-1-111-1-111-1-11111-1-111-1-11-1-11-11-11-11-111-11-111-1-1-1-111-1-111-1-111-1-111-1-11111-1-111-1-1
χ241111-1-111-1-1-1-11111111-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-111-11-1-11-11-11-111-11-1-1-111-1-111-1-111-1-11111-1-111-1-1-1-111-1-111-1-111-1-11111-1-111-1-1-111-11-11-11-11-1-11-11-1-11111-1-111-1-111-1-111-1-111-1-1-1-111-1-111
χ251111-1-111-1-1-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111-1-111-1-111-1-111-1-111-1-111-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11-1-111-1-111-1-111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ261111-1-111-1-1-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111-1-111-1-111-1-111-1-111-1-111-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-111-1-111-1-111-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ271111-1-111-1-1-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111-1-11-111-1-111-11-1-11-111-1-111-111-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-111-1-11-1-11-111-1-111-11111-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ281111-1-111-1-1-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111-1-11-111-1-111-11-1-11-111-1-111-111-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-111-11-1-111-1-11-1-1-1-11111-1-11111-1-111-1-1-1-11111-1-1-1-111
χ291111-1-111-1-1-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-111-11-1-11-111-1-111-11-1-11-111-1-1-11111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1-111-11-1-11-111-11111-1-1-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1
χ301111-1-111-1-1-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-111-11-1-11-111-1-111-11-1-11-111-1-1-11111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-1-1111-1-11-111-11-1-11-1-1-1-1111111-1-1-1-111-1-11111-1-111-1-1-1-111
χ311111-1-111-1-1-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-111-1-111-11-1-11-111-1-111-11-1-11-1-11111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-111-1-111-11-1-111111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111
χ321111-1-111-1-1-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-111-1-111-11-1-11-111-1-111-11-1-11-1-11111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1-1-111-1-1111-1-111-1-11-111-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-11111-1-1
χ3311−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32111111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ3411−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32111111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i32
χ3511−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i321+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+i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i3211111111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+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
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χ4911−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i321111111-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321-11-11-11-11-11-11-11-11-11-11-11-1−1−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+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+i321+i321−i321-1-111-11-11-11-11-11-1−1−i32−1+i321+i321−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−i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32
χ5011−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i321111111-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321-11-11-11-11-11-11-11-11-11-11-11-1−1−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+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+i321+i321−i32-111-1-11-11-11-11-11-111+i321−i32−1−i32−1+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
χ5111−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i321111111-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321-11-1-11-11-11-111-11-1-11-11-11-11−1−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+i32−1−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+i321-1-111-11-1-11-11-11-11−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32−1−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+i32
χ5211−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i321111111-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321-11-1-11-11-11-111-11-1-11-11-11-11−1−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+i32−1−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+i32-111-1-11-111-11-11-11-11+i321−i32−1−i32−1+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
χ5311−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i321111111-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32-11-111-11-1-11-11-11-111-11-1-11-111+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32−1−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+i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i321-1-11-11-111-11-1-11-11−1−i32−1+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+i321−i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32
χ5411−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i321111111-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32-11-111-11-1-11-11-11-111-11-1-11-111+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32−1−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+i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32-111-11-11-1-11-111-11-11+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32
χ5511−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i321111111-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32-11-11-11-111-11-1-11-11-11-111-11-11+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32−1−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+i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i321-1-11-11-11-11-111-11-1−1−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+i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32
χ5611−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i321111111-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32-11-11-11-111-11-1-11-11-11-111-11-11+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32−1−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+i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32-111-11-11-11-11-1-11-111+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−i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32
χ5711−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32-1-1-1-1111-1-1-111111+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321-1-111-1-111-1-111-1-111-1-111-1-11−1−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+i321+i321−i321+i321−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+i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i3211-1-11-1-111-1-111-1-11−1−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+i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32
χ5811−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32-1-1-1-1111-1-1-111111+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321-1-111-1-111-1-111-1-111-1-111-1-11−1−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+i321+i321−i321+i321−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+i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32-1-111-111-1-111-1-111-11+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−i321+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32
χ5911−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32-1-1-1-1111-1-1-111111+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321-1-11-111-1-111-11-1-11-111-1-111-1−1−i32−1+i321+i321−i321+i321−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−i32−1−i32−1+i321+i321−i321+i321−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−i3211-1-11-1-11-111-1-111-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32
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χ6111−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32-1-1-1-1111-1-1-111111+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-111-11-1-11-111-1-111-11-1-11-111-11+i321−i32−1−i32−1+i32−1−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−i321+i321−i32−1−i32−1+i32−1−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−i3211-1-1-111-11-1-11-111-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i321+i321−i32−1−i32−1+i32−1−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
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χ8111−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i321111111-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321-11-11-11-11-11-11-11-11-11-11-11-1−1+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−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−i321−i321+i321-1-111-11-11-11-11-11-1−1+i32−1−i321−i321+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+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32
χ8211−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i321111111-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321-11-11-11-11-11-11-11-11-11-11-11-1−1+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−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−i321−i321+i32-111-1-11-11-11-11-11-111−i321+i32−1+i32−1−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
χ8311−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i321111111-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321-11-1-11-11-11-111-11-1-11-11-11-11−1+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−i32−1+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−i321-1-111-11-1-11-11-11-11−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32−1+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−i32
χ8411−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i321111111-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321-11-1-11-11-11-111-11-1-11-11-11-11−1+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−i32−1+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−i32-111-1-11-111-11-11-11-11−i321+i32−1+i32−1−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
χ8511−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i321111111-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32-11-111-11-1-11-11-11-111-11-1-11-111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32−1+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−i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i321-1-11-11-111-11-1-11-11−1+i32−1−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−i321+i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32
χ8611−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i321111111-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32-11-111-11-1-11-11-11-111-11-1-11-111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32−1+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−i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32-111-11-11-1-11-111-11-11−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32
χ8711−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i321111111-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32-11-11-11-111-11-1-11-11-11-111-11-11−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32−1+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−i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i321-1-11-11-11-11-111-11-1−1+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−i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32
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χ1718-8−4−4i3−4+4i38i−8i4+4i34−4i38ζ11−8ζ118ζ7−8ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1728-8−4−4i3−4+4i3−8i8i4+4i34−4i3−8ζ118ζ11−8ζ78ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1738-8−4+4i3−4−4i38i−8i4−4i34+4i38ζ7−8ζ78ζ11−8ζ11000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1748-8−4+4i3−4−4i3−8i8i4−4i34+4i3−8ζ78ζ7−8ζ118ζ11000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.