Finite Group Databasebeta

← Group #13158348

Character table — Group #13158348

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207
size111122222222222222224444444444444444444444444441212121212121212121212122424242424243636363611112222222222222222444444444444444444444444444121212121212121212121212242424242424363636361111222222222222222244444444444444444444444444412121212121212121212121224242424242436363636
order122222334466666666663466666666612121212121212121212121212121212222266666666441212121288883666663312126666666666312666666666121212121212121212121212121212126666666666661212121212122424242436666633121266666666663126666666661212121212121212121212121212121266666666666612121212121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111-1-11111111-1-1-1-11111-1-1-111-1-1-1-1111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-11-111-1-111-1-11111-1-11111111-1-1-1-11111-1-1-111-1-1-1-1111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-11-111-1-111-1-11111-1-11111111-1-1-1-11111-1-1-111-1-1-1-1111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-11-111-1-111-1-1
χ61111-1-11111111-1-1-1-11111-1-1-111-1-1-1-1111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-11-1-111-1-1111111-1-11111111-1-1-1-11111-1-1-111-1-1-1-1111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-11-1-111-1-1111111-1-11111111-1-1-1-11111-1-1-111-1-1-1-1111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-11-1-111-1-111
χ71111-1-11111111-1-1-1-11111-1-1-111-1-1-1-1111-1-111-1-11111-1-1-1-1-1-111-1-1-1-111111-111-1-1-1-1111111-1-11111111-1-1-1-11111-1-1-111-1-1-1-1111-1-111-1-11111-1-1-1-1-1-111-1-1-1-111111-111-1-1-1-1111111-1-11111111-1-1-1-11111-1-1-111-1-1-1-1111-1-111-1-11111-1-1-1-1-1-111-1-1-1-111111-111-1-1-1-111
χ81111-1-11111111-1-1-1-11111-1-1-111-1-1-1-1111-1-111-1-11111-1-1-1-1-1-111-1-1-1-11111-11-1-11111-1-11111-1-11111111-1-1-1-11111-1-1-111-1-1-1-1111-1-111-1-11111-1-1-1-1-1-111-1-1-1-11111-11-1-11111-1-11111-1-11111111-1-1-1-11111-1-1-111-1-1-1-1111-1-111-1-11111-1-1-1-1-1-111-1-1-1-11111-11-1-11111-1-1
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χ741111-1-11111111-1-1-1-11111-1-1-111-1-1-1-1111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-11-111-1-111-1-1−1+i32−1+i32−1+i32−1+i321−i321−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+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+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−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−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+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
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χ761111-1-11111111-1-1-1-11111-1-1-111-1-1-1-1111-1-111-1-11111-1-1-1-1-1-111-1-1-1-111111-111-1-1-1-111−1+i32−1+i32−1+i32−1+i321−i321−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+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−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+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−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+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−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ771111-1-11111111-1-1-1-11111-1-1-111-1-1-1-1111-1-111-1-11111-1-1-1-1-1-111-1-1-1-11111-11-1-11111-1-1−1+i32−1+i32−1+i32−1+i321−i321−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+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−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−i32−1+i321−i321−i32−1+i32−1+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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+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+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
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χ792222222-1222-1-1-1-1-1-1-122-1222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i320000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i320000000000
χ802222222-1222-1-1-1-1-1-1-122-1222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320000000000
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χ86222222-12-2-2-12222222-1-1-1-2-1-1-1-1-1-1-1-1-1-2-2-2-211111111111100000000000000i3−i3i3−i30000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i31−i31−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200000000000000−3−i323+i32−3−i323+i320000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i31+i31+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000000000003−i32−3+i323−i32−3+i320000
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χ1431111-1-11111111-1-1-1-11111-1-1-111-1-1-1-1111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-11-111-1-111-1-1−1−i32−1−i32−1−i32−1−i321+i321+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−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−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+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+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−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ1441111-1-11111111-1-1-1-11111-1-1-111-1-1-1-1111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-11-1-111-1-111−1−i32−1−i32−1−i32−1−i321+i321+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−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−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+i32−1−i32−1−i32−1−i32−1−i321+i321+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−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+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+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−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ1451111-1-11111111-1-1-1-11111-1-1-111-1-1-1-1111-1-111-1-11111-1-1-1-1-1-111-1-1-1-111111-111-1-1-1-111−1−i32−1−i32−1−i32−1−i321+i321+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−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+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−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+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−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+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ1461111-1-11111111-1-1-1-11111-1-1-111-1-1-1-1111-1-111-1-11111-1-1-1-1-1-111-1-1-1-11111-11-1-11111-1-1−1−i32−1−i32−1−i32−1−i321+i321+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−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+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+i32−1−i321+i321+i32−1−i32−1−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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−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−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ14722222222-2-222222222222-2222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i31+i31+i31+i31+i31+i31+i31+i31+i31+i31+i30000000000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i31−i31−i31−i31−i31−i31−i31−i31−i31−i31−i30000000000000000000000
χ1482222222-1222-1-1-1-1-1-1-122-1222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i320000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i320000000000
χ1492222222-1222-1-1-1-1-1-1-122-1222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320000000000
χ1502222222-1-2-22-1-1-1-1-1-1-122-1-222-1-1-1-1-1-1-11111-2-2-2-2111111110000−i3−i3i3i3−i3−i3i3i30000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320000−3+i32−3+i323−i323−i32−3+i32−3+i323−i323−i320000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200003+i323+i32−3−i32−3−i323+i323+i32−3−i32−3−i320000000000
χ1512222222-1-2-22-1-1-1-1-1-1-122-1-222-1-1-1-1-1-1-11111-2-2-2-2111111110000i3i3−i3−i3i3i3−i3−i30000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200003−i323−i32−3+i32−3+i323−i323−i32−3+i32−3+i320000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320000−3−i32−3−i323+i323+i32−3−i32−3−i323+i323+i320000000000
χ152222222-1222-12222222-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-10000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32000000000000−1−i3−1−i31+i321+i321+i321+i320000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32000000000000−1+i3−1+i31−i321−i321−i321−i320000
χ153222222-1222-12222222-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-211110000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i320000000000001+i31+i3−1−i32−1−i32−1−i32−1−i320000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i320000000000001−i31−i3−1+i32−1+i32−1+i32−1+i320000
χ154222222-12-2-2-12222222-1-1-1-2-1-1-1-1-1-1-1-1-1-2-2-2-211111111111100000000000000−i3i3−i3i30000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i31+i31+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200000000000000−3+i323−i32−3+i323−i320000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i31−i31−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000000000003+i32−3−i323+i32−3−i320000
χ155222222-12-2-2-12222222-1-1-1-2-1-1-1-1-1-1-1-1-1-2-2-2-211111111111100000000000000i3−i3i3−i30000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i31+i31+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000000000003−i32−3+i323−i32−3+i320000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i31−i31−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200000000000000−3−i323+i32−3−i323+i320000
χ1562222-2-222-2-2222-2-2-2-222222-2-222-2-2-2-22-2-222-2-222-2-2-2-222220000000000000000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i31+i31+i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i30000000000000000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i31−i31−i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i30000000000000000000000
χ1572222-2-22-1222-1-11111-122-1-2-2-2-1-11111-1-1-11122-2-2-1-1-1-1111122-2-2-1-1-1-111110000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i3−1−i31+i321+i31+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i3−1−i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i3−1+i31−i321−i31−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i3−1+i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000000000
χ1582222-2-22-1222-1-11111-122-1-2-2-2-1-11111-1-1-11122-2-2-1-1-1-11111-2-2221111-1-1-1-10000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i3−1−i31+i321+i31+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i3−1−i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i3−1−i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i320000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i3−1+i31−i321−i31−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i3−1+i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i3−1+i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i320000000000
χ1592222-2-22-1-2-22-1-11111-122-12-2-2-1-11111-111-1-1-2-2221111-1-1-1-10000−i3−i3i3i3i3i3−i3−i30000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i321+i31+i3−1−i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i3−1−i31+i32−1−i31+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i31+i3−1−i3−1−i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i320000−3+i32−3+i323−i323−i323−i323−i32−3+i32−3+i320000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i321−i31−i3−1+i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i3−1+i31−i32−1+i31−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i31−i3−1+i3−1+i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i3200003+i323+i32−3−i32−3−i32−3−i32−3−i323+i323+i320000000000
χ1602222-2-22-1-2-22-1-11111-122-12-2-2-1-11111-111-1-1-2-2221111-1-1-1-10000i3i3−i3−i3−i3−i3i3i30000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i321+i31+i3−1−i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i3−1−i31+i32−1−i31+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i31+i3−1−i3−1−i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i3200003−i323−i32−3+i32−3+i32−3+i32−3+i323−i323−i320000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i321−i31−i3−1+i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i3−1+i31−i32−1+i31−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i31−i3−1+i3−1+i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i320000−3−i32−3−i323+i323+i323+i323+i32−3−i32−3−i320000000000
χ1612222-2-2-1222-122-2-2-2-22-1-1-1-211-1-11111-122-2-2-1-111-1-1-1-111110000000000002-2-1-1110000−1−i3−1−i3−1−i3−1−i31+i31+i31+i32−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i31+i31+i31+i3−1−i31+i321+i321+i321+i3−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i3−1−i31+i31+i31+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32000000000000−1−i31+i31+i321+i32−1−i32−1−i320000−1+i3−1+i3−1+i3−1+i31−i31−i31−i32−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i31−i31−i31−i3−1+i31−i321−i321−i321−i3−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i3−1+i31−i31−i31−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32000000000000−1+i31−i31−i321−i32−1+i32−1+i320000
χ1622222-2-2-1222-122-2-2-2-22-1-1-1-211-1-11111-122-2-2-1-111-1-1-1-11111000000000000-2211-1-10000−1−i3−1−i3−1−i3−1−i31+i31+i31+i32−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i31+i31+i31+i3−1−i31+i321+i321+i321+i3−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i3−1−i31+i31+i31+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000000000001+i3−1−i3−1−i32−1−i321+i321+i320000−1+i3−1+i3−1+i3−1+i31−i31−i31−i32−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i31−i31−i31−i3−1+i31−i321−i321−i321−i3−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i3−1+i31−i31−i31−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000000000001−i3−1+i3−1+i32−1+i321−i321−i320000
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χ2034-4-4400-24-442-4-4000042-2-2000220000-2-44002-20022-2-200000000000000000000000000−2−2i32+2i32+2i3−2−2i3001+i3−2−2i32+2i3−2−2i3−1−i32+2i32+2i30000−2−2i3−1−i31+i31+i3000−1−i3−1−i300001+i32+2i3−2−2i300−1−i31+i300−1−i3−1−i31+i31+i300000000000000000000000000−2+2i32−2i32−2i3−2+2i3001−i3−2+2i32−2i3−2+2i3−1+i32−2i32−2i30000−2+2i3−1+i31−i31−i3000−1+i3−1+i300001−i32−2i3−2+2i300−1+i31−i300−1+i3−1+i31−i31−i300000000000000000000000000
χ2044-4-4400-2-24-4222−2i32i3−2i32i3-22-21000-1-1i3−i3i3−i31-22−2i32i3-220011-1-1i3i3−i3−i30000000000000000000000−2−2i32+2i32+2i3−2−2i3001+i31+i3−2−2i32+2i3−1−i3−1−i3−1−i3−3+i33−i3−3+i33−i31+i3−1−i31+i3−1−i320001+i321+i323−i32−3+i323−i32−3+i32−1−i321+i3−1−i3−3+i33−i31+i3−1−i300−1−i32−1−i321+i321+i323−i323−i32−3+i32−3+i320000000000000000000000−2+2i32−2i32−2i3−2+2i3001−i31−i3−2+2i32−2i3−1+i3−1+i3−1+i33+i3−3−i33+i3−3−i31−i3−1+i31−i3−1+i320001−i321−i32−3−i323+i32−3−i323+i32−1+i321−i3−1+i33+i3−3−i31−i3−1+i300−1+i32−1+i321−i321−i32−3−i32−3−i323+i323+i320000000000000000000000
χ2054-4-4400-2-24-42222i3−2i32i3−2i3-22-21000-1-1−i3i3−i3i31-222i3−2i3-220011-1-1−i3−i3i3i30000000000000000000000−2−2i32+2i32+2i3−2−2i3001+i31+i3−2−2i32+2i3−1−i3−1−i3−1−i33−i3−3+i33−i3−3+i31+i3−1−i31+i3−1−i320001+i321+i32−3+i323−i32−3+i323−i32−1−i321+i3−1−i33−i3−3+i31+i3−1−i300−1−i32−1−i321+i321+i32−3+i32−3+i323−i323−i320000000000000000000000−2+2i32−2i32−2i3−2+2i3001−i31−i3−2+2i32−2i3−1+i3−1+i3−1+i3−3−i33+i3−3−i33+i31−i3−1+i31−i3−1+i320001−i321−i323+i32−3−i323+i32−3−i32−1+i321−i3−1+i3−3−i33+i31−i3−1+i300−1+i32−1+i321−i321−i323+i323+i32−3−i32−3−i320000000000000000000000
χ2064-4-4400-2-2-44222−2i32i3−2i32i3-22-21000-1-1i3−i3i3−i312-22i3−2i32-200-1-111−i3−i3i3i30000000000000000000000−2−2i32+2i32+2i3−2−2i3001+i31+i32+2i3−2−2i3−1−i3−1−i3−1−i3−3+i33−i3−3+i33−i31+i3−1−i31+i3−1−i320001+i321+i323−i32−3+i323−i32−3+i32−1−i32−1−i31+i33−i3−3+i3−1−i31+i3001+i321+i32−1−i32−1−i32−3+i32−3+i323−i323−i320000000000000000000000−2+2i32−2i32−2i3−2+2i3001−i31−i32−2i3−2+2i3−1+i3−1+i3−1+i33+i3−3−i33+i3−3−i31−i3−1+i31−i3−1+i320001−i321−i32−3−i323+i32−3−i323+i32−1+i32−1+i31−i3−3−i33+i3−1+i31−i3001−i321−i32−1+i32−1+i323+i323+i32−3−i32−3−i320000000000000000000000
χ2074-4-4400-2-2-442222i3−2i32i3−2i3-22-21000-1-1−i3i3−i3i312-2−2i32i32-200-1-111i3i3−i3−i30000000000000000000000−2−2i32+2i32+2i3−2−2i3001+i31+i32+2i3−2−2i3−1−i3−1−i3−1−i33−i3−3+i33−i3−3+i31+i3−1−i31+i3−1−i320001+i321+i32−3+i323−i32−3+i323−i32−1−i32−1−i31+i3−3+i33−i3−1−i31+i3001+i321+i32−1−i32−1−i323−i323−i32−3+i32−3+i320000000000000000000000−2+2i32−2i32−2i3−2+2i3001−i31−i32−2i3−2+2i3−1+i3−1+i3−1+i3−3−i33+i3−3−i33+i31−i3−1+i31−i3−1+i320001−i321−i323+i32−3−i323+i32−3−i32−1+i32−1+i31−i33+i3−3−i3−1+i31−i3001−i321−i32−1+i32−1+i32−3−i32−3−i323+i323+i320000000000000000000000

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