Finite Group Databasebeta

← Group #11872712

Character table — Group #11872712

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size111122222222224444444444888888888888888812121212121212121212121224241111222222222244444444448888888888888888121212121212121212121212242411112222222222444444444488888888888888881212121212121212121212122424
order122234444446662244121212121212246666881212121224242424222444448888243666312121212121266666121212121212121261266662424121212122424242466612121212122424242461236663121212121212666661212121212121212612666624241212121224242424666121212121224242424612
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1
χ4111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111-1-1-1-111111111-1-111-1-1-1-111-1-1-1-111-1-111-1-11111-1-111111111111111-1-1-1-111111111-1-111-1-1-1-111-1-1-1-111-1-111-1-11111-1-111111111111111-1-1-1-111111111-1-111-1-1-1-111-1-1-1-111-1-111-1-11111-1-1
χ611111111111111-1-1-1-111111111-1-111-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-11111111111111111-1-1-1-111111111-1-111-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-11111111111111111-1-1-1-111111111-1-111-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-111
χ711111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1-11111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1-11111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1-111
χ811111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-111-1-1111111-1-111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-111-1-1111111-1-111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-111-1-1111111-1-1
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χ1011111-1-1-1-11111111-1-1-1-1-1-1111-111111-1-1-1-1-111-1-1-1-1-1-11111-1-1111-111111-1-1-1-11111111-1-1-1-1-1-1111-111111-1-1-1-1-111-1-1-1-1-1-11111-1-1111-111111-1-1-1-11111111-1-1-1-1-1-1111-111111-1-1-1-1-111-1-1-1-1-1-11111-1-1111-1
χ1111111-1-1-1-11111111-1-1-1-1-1-111-1111-1-1-11-1-111-1-1111111-1-1-1-1-1-1111-111111-1-1-1-11111111-1-1-1-1-1-111-1111-1-1-11-1-111-1-1111111-1-1-1-1-1-1111-111111-1-1-1-11111111-1-1-1-1-1-111-1111-1-1-11-1-111-1-1111111-1-1-1-1-1-1111-1
χ1211111-1-1-1-11111111-1-1-1-1-1-111-1111-1-1-11-1-111-1-111-1-1-1-1111111-1-1-1111111-1-1-1-11111111-1-1-1-1-1-111-1111-1-1-11-1-111-1-111-1-1-1-1111111-1-1-1111111-1-1-1-11111111-1-1-1-1-1-111-1111-1-1-11-1-111-1-111-1-1-1-1111111-1-1-11
χ1311111-1-1-1-111111-1-111-1-1-1-1111-1-1-111-1111-1-1-1-11111-1-1-1-11111-1-11-111111-1-1-1-111111-1-111-1-1-1-1111-1-1-111-1111-1-1-1-11111-1-1-1-11111-1-11-111111-1-1-1-111111-1-111-1-1-1-1111-1-1-111-1111-1-1-1-11111-1-1-1-11111-1-11-1
χ1411111-1-1-1-111111-1-111-1-1-1-1111-1-1-111-1111-1-1-1-111-1-11111-1-1-1-111-1111111-1-1-1-111111-1-111-1-1-1-1111-1-1-111-1111-1-1-1-111-1-11111-1-1-1-111-1111111-1-1-1-111111-1-111-1-1-1-1111-1-1-111-1111-1-1-1-111-1-11111-1-1-1-111-11
χ1511111-1-1-1-111111-1-111-1-1-1-111-11-1-1-1-11-1111111-1-111-1-1-1-111-1-111-1111111-1-1-1-111111-1-111-1-1-1-111-11-1-1-1-11-1111111-1-111-1-1-1-111-1-111-1111111-1-1-1-111111-1-111-1-1-1-111-11-1-1-1-11-1111111-1-111-1-1-1-111-1-111-11
χ1611111-1-1-1-111111-1-111-1-1-1-111-11-1-1-1-11-1111111-1-1-1-11111-1-111-1-11-111111-1-1-1-111111-1-111-1-1-1-111-11-1-1-1-11-1111111-1-1-1-11111-1-111-1-11-111111-1-1-1-111111-1-111-1-1-1-111-11-1-1-1-11-1111111-1-1-1-11111-1-111-1-11-1
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χ561111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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
χ57111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1−1+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+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−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−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+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+i321+i321+i321+i321+i321+i32
χ58111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−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
χ5911111111111111-1-1-1-111111111-1-111-1-1-1-111-1-1-1-111-1-111-1-11111-1-1−1+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−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−i32−1+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−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+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+i32−1−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
χ6011111111111111-1-1-1-111111111-1-111-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+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−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+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+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ6111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−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+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+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+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ6211111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-111-1-1111111-1-1−1+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−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−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+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i32−1−i32−1−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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ6311111-1-1-1-11111111-1-1-1-1-1-1111-111111-1-1-1-1-111-1-11111-1-1-1-111-1-1-11−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−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+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−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+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−i321+i321+i321+i32−1−i32
χ6411111-1-1-1-11111111-1-1-1-1-1-1111-111111-1-1-1-1-111-1-1-1-1-1-11111-1-1111-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32
χ6511111-1-1-1-11111111-1-1-1-1-1-111-1111-1-1-11-1-111-1-1111111-1-1-1-1-1-1111-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+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+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−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−i321+i32
χ6611111-1-1-1-11111111-1-1-1-1-1-111-1111-1-1-11-1-111-1-111-1-1-1-1111111-1-1-11−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+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−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−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+i32−1−i32
χ6711111-1-1-1-111111-1-111-1-1-1-1111-1-1-111-1111-1-1-1-11111-1-1-1-11111-1-11-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−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−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+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+i32−1−i321+i32
χ6811111-1-1-1-111111-1-111-1-1-1-1111-1-1-111-1111-1-1-1-111-1-11111-1-1-1-111-11−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−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−i321−i321−i32−1+i32−1+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−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+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+i321+i321+i32−1−i32−1−i321+i32−1−i32
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χ11511111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+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−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−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−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ11611111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-111-1-1111111-1-1−1−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+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+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−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i32−1+i32−1+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ11711111-1-1-1-11111111-1-1-1-1-1-1111-111111-1-1-1-1-111-1-11111-1-1-1-111-1-1-11−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+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−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+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−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+i321−i321−i321−i32−1+i32
χ11811111-1-1-1-11111111-1-1-1-1-1-1111-111111-1-1-1-1-111-1-1-1-1-1-11111-1-1111-1−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32
χ11911111-1-1-1-11111111-1-1-1-1-1-111-1111-1-1-11-1-111-1-1111111-1-1-1-1-1-1111-1−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−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−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+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+i321−i32
χ12011111-1-1-1-11111111-1-1-1-1-1-111-1111-1-1-11-1-111-1-111-1-1-1-1111111-1-1-11−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−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+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+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−i32−1+i32
χ12111111-1-1-1-111111-1-111-1-1-1-1111-1-1-111-1111-1-1-1-11111-1-1-1-11111-1-11-1−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+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+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−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−i32−1+i321−i32
χ12211111-1-1-1-111111-1-111-1-1-1-1111-1-1-111-1111-1-1-1-111-1-11111-1-1-1-111-11−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+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+i321+i321+i32−1−i32−1−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+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−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−i321−i321−i32−1+i32−1+i321−i32−1+i32
χ12311111-1-1-1-111111-1-111-1-1-1-111-11-1-1-1-11-1111111-1-111-1-1-1-111-1-111-11−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−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+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+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−i32−1+i32
χ12411111-1-1-1-111111-1-111-1-1-1-111-11-1-1-1-11-1111111-1-1-1-11111-1-111-1-11-1−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−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+i32−1−i32−1−i321+i321+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+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−i32−1+i32−1+i321−i321−i32−1+i321−i32
χ1252222222-2-2-2-2222000022-2-2-2-20000000000000000002-2002-2000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i30000−1−i3−1−i31+i31+i31+i31+i3000000000000000000−1−i31+i300−1−i31+i3000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i30000−1+i3−1+i31−i31−i31−i31−i3000000000000000000−1+i31−i300−1+i31−i3000000
χ1262222222-2-2-2-2222000022-2-2-2-2000000000000000000-2200-22000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i30000−1−i3−1−i31+i31+i31+i31+i30000000000000000001+i3−1−i3001+i3−1−i3000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i30000−1+i3−1+i31−i31−i31−i31−i30000000000000000001−i3−1+i3001−i3−1+i3000000
χ12722222-2-222-2-22220000-2-222-2-20000000000000000002-200-22000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i300001+i31+i3−1−i3−1−i31+i31+i3000000000000000000−1−i31+i3001+i3−1−i3000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i300001−i31−i3−1+i3−1+i31−i31−i3000000000000000000−1+i31−i3001−i3−1+i3000000
χ12822222-2-222-2-22220000-2-222-2-2000000000000000000-22002-2000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i300001+i31+i3−1−i3−1−i31+i31+i30000000000000000001+i3−1−i300−1−i31+i3000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i300001−i31−i3−1+i3−1+i31−i31−i30000000000000000001−i3−1+i300−1+i31−i3000000
χ1292222-1222222-1-1-12222-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-100000000000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i3200000000000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i3200000000000000
χ1302222-1222222-1-1-12222-1-1-1-1-1-1-2-2-1-111-2-2-1-111111100000000000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i31+i31+i321+i32−1−i32−1−i321+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200000000000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i31−i31−i321−i32−1+i32−1+i321−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200000000000000
χ1312222-1222222-1-1-1-2-2-2-2-1-1-1-1-1-12211-1-1-2-211-1-1111100000000000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i31+i31+i31+i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i32−1−i321+i321+i321+i31+i3−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i3200000000000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i31−i31−i31−i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i32−1+i321−i321−i321−i31−i3−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i3200000000000000
χ1322222-1222222-1-1-1-2-2-2-2-1-1-1-1-1-1-2-21111221111-1-1-1-100000000000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i31+i31+i31+i31+i321+i321+i321+i321+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i3−1−i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i3200000000000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i31−i31−i31−i31−i321−i321−i321−i321−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i3−1+i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i3200000000000000
χ1332222-1-2-2-2-222-1-1-122-2-21111-1-12-2-1-1-1-12-21111-1-11100000000000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i31+i31+i321+i321+i321+i32−1−i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i3200000000000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i31−i31−i321−i321−i321−i32−1+i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i3200000000000000
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χ1604-4-444000000-4-44000000000000000000000000000000000000−222200−2−2i32+2i32+2i3−2−2i3−2−2i30000002+2i32+2i3−2−2i30000000000000000000000000000000000002ζ7−2ζ13−2ζ7+2ζ1300−2+2i32−2i32−2i3−2+2i3−2+2i30000002−2i32−2i3−2+2i3000000000000000000000000000000000000−2ζ5+2ζ232ζ5−2ζ2300
χ1618-88-8-40000004-440000000000000000000000000000000000000000−4−4i34+4i3−4−4i34+4i32+2i3000000−2−2i32+2i3−2−2i30000000000000000000000000000000000000000−4+4i34−4i3−4+4i34−4i32−2i3000000−2+2i32−2i3−2+2i30000000000000000000000000000000000000000
χ1628-8-88-400000044-40000000000000000000000000000000000000000−4−4i34+4i34+4i3−4−4i32+2i3000000−2−2i3−2−2i32+2i30000000000000000000000000000000000000000−4+4i34−4i34−4i3−4+4i32−2i3000000−2+2i3−2+2i32−2i30000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.