Finite Group Databasebeta

← Group #13144264

Character table — Group #13144264

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212
size11111111111111111111111122222222222222222222222222222222222266666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666363636363636363636363636363636363636363636363636
order1222222233666666666666664444444444441212121212121212121212121212121212121212121212123333666666666666666666666666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121222224444666666661212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ9111-11-1-1-1111111-1-111-1-1-1-1-1-111-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i1-11-1i−ii−i11-1-111-1-1ii−i−iii−i−i
χ10111-11-1-1-1111111-1-111-1-1-1-1-1-111-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-11-11−ii−ii-1-111-1-111−i−iii−i−iii
χ11111-11-1-1-1111111-1-111-1-1-1-1-1-111-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii1-11-1−ii−ii11-1-111-1-1−i−iii−i−iii
χ12111-11-1-1-1111111-1-111-1-1-1-1-1-111-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-11-11i−ii−i-1-111-1-111ii−i−iii−i−i
χ13111-11-1-1-1111111-1-111-1-1-1-1-1-1-1-111ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii1-1-11i−i−ii11-1-1-1-111ii−i−i−i−iii
χ14111-11-1-1-1111111-1-111-1-1-1-1-1-1-1-111ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-111-1−iii−i-1-11111-1-1−i−iiiii−i−i
χ15111-11-1-1-1111111-1-111-1-1-1-1-1-1-1-111−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i1-1-11−iii−i11-1-1-1-111−i−iiiii−i−i
χ16111-11-1-1-1111111-1-111-1-1-1-1-1-1-1-111−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-111-1i−i−ii-1-11111-1-1ii−i−i−i−iii
χ172222222222222222222222222222222222222222222222222222222222222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ18222222222222222222222222222222222222222222222222222222222222-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000000000
χ19222222222222222222222222222222222222222222222222222222222222-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1000000000000000000000000
χ20222222222222222222222222222222222222222222222222222222222222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222000000000000000000000000
χ212222222222222222222222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111-2-2-2-2111111111111-2-2-2-2111111111111000000000000000000000000
χ222222222222222222222222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-2111111111111-2-2-2-2111111111111-2-2-2-211111111000000000000000000000000
χ232222222222222222222222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-2111111111111-2-2-2-2111111111111-2-2-2-2111111111111-2-2-2-21111000000000000000000000000
χ242222222222222222222222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222111111111111-2-2-2-2111111111111-2-2-2-2111111111111-2-2-2-2111111111111-2-2-2-2000000000000000000000000
χ25222222222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111000000000000000000000000
χ26222222222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111000000000000000000000000
χ27222222222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-111111111-2-2-2-2111111111111-2-2-2-21111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-2111111111111-2-2-2-21111000000000000000000000000
χ28222222222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122111111111111-2-2-2-2111111111111-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222111111111111-2-2-2-2111111111111-2-2-2-2000000000000000000000000
χ29222222222222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111-2-2-2-2111111111111-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ30222222222222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-2111111111111-2-2-2-2111111111111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000000000
χ31222222222222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-111111111-2-2-2-2111111111111-2-2-2-2111111111111-2-2-2-2111111111111-2-2-2-21111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1000000000000000000000000
χ32222222222222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122111111111111-2-2-2-2111111111111-2-2-2-2111111111111-2-2-2-2111111111111-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222000000000000000000000000
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χ180333-33-3-3-3−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i323+3i323−3i32−3−3i32−3+3i323+3i323−3i323+3i323−3i323+3i323−3i32-3-333−3i−3i3i3i3i3i−3i−3i3+3i323−3i323+3i323−3i32−3−3i32−3+3i32−3−3i32−3+3i32−3ζ11−3ζ7−3ζ11−3ζ73ζ113ζ73ζ113ζ73ζ113ζ73ζ113ζ7−3ζ11−3ζ7−3ζ11−3ζ700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-111-1i−i−ii1+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32ζ11ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7
χ181333-33-3-3-3−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i323−3i323+3i3233-3-33i3i−3i−3i3i3i−3i−3i−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i323ζ73ζ113ζ73ζ11−3ζ7−3ζ11−3ζ7−3ζ113ζ73ζ113ζ73ζ11−3ζ7−3ζ11−3ζ7−3ζ11000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001-11-1i−ii−i−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32ζ7ζ11−ζ7−ζ11ζ7ζ11−ζ7−ζ11
χ182333-33-3-3-3−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i323−3i323+3i3233-3-33i3i−3i−3i3i3i−3i−3i−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i323ζ73ζ113ζ73ζ11−3ζ7−3ζ11−3ζ7−3ζ113ζ73ζ113ζ73ζ11−3ζ7−3ζ11−3ζ7−3ζ1100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-11-11−ii−ii1−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32−ζ7−ζ11ζ7ζ11−ζ7−ζ11ζ7ζ11
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χ184333-33-3-3-3−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i323−3i323+3i3233-3-3−3i−3i3i3i−3i−3i3i3i−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i32−3ζ7−3ζ11−3ζ7−3ζ113ζ73ζ113ζ73ζ11−3ζ7−3ζ11−3ζ7−3ζ113ζ73ζ113ζ73ζ1100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-11-11i−ii−i1−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32ζ7ζ11−ζ7−ζ11ζ7ζ11−ζ7−ζ11
χ185333-33-3-3-3−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i323−3i323+3i32-3-3333i3i−3i−3i−3i−3i3i3i3−3i323+3i323−3i323+3i32−3+3i32−3−3i32−3+3i32−3−3i323ζ73ζ113ζ73ζ11−3ζ7−3ζ11−3ζ7−3ζ11−3ζ7−3ζ11−3ζ7−3ζ113ζ73ζ113ζ73ζ11000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001-1-11i−i−ii−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32ζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11
χ186333-33-3-3-3−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i323−3i323+3i32-3-3333i3i−3i−3i−3i−3i3i3i3−3i323+3i323−3i323+3i32−3+3i32−3−3i32−3+3i32−3−3i323ζ73ζ113ζ73ζ11−3ζ7−3ζ11−3ζ7−3ζ11−3ζ7−3ζ11−3ζ7−3ζ113ζ73ζ113ζ73ζ1100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-111-1−iii−i1−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11
χ187333-33-3-3-3−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i323−3i323+3i32-3-333−3i−3i3i3i3i3i−3i−3i3−3i323+3i323−3i323+3i32−3+3i32−3−3i32−3+3i32−3−3i32−3ζ7−3ζ11−3ζ7−3ζ113ζ73ζ113ζ73ζ113ζ73ζ113ζ73ζ11−3ζ7−3ζ11−3ζ7−3ζ11000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001-1-11−iii−i−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11
χ188333-33-3-3-3−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i323−3i323+3i32-3-333−3i−3i3i3i3i3i−3i−3i3−3i323+3i323−3i323+3i32−3+3i32−3−3i32−3+3i32−3−3i32−3ζ7−3ζ11−3ζ7−3ζ113ζ73ζ113ζ73ζ113ζ73ζ113ζ73ζ11−3ζ7−3ζ11−3ζ7−3ζ1100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-111-1i−i−ii1−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32ζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11
χ18966-66-66-6-6−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3000000006i−6i6i−6i00000000000000006ζ116ζ7−6ζ11−6ζ76ζ116ζ7−6ζ11−6ζ700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ19066-66-66-6-6−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i300000000−6i6i−6i6i0000000000000000−6ζ11−6ζ76ζ116ζ7−6ζ11−6ζ76ζ116ζ700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ19166-66-66-6-6−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3000000006i−6i6i−6i00000000000000006ζ76ζ11−6ζ7−6ζ116ζ76ζ11−6ζ7−6ζ1100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ19266-66-66-6-6−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i300000000−6i6i−6i6i0000000000000000−6ζ7−6ζ116ζ76ζ11−6ζ7−6ζ116ζ76ζ1100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ19366-6-6-6-666−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i3000000006-6-660000000000000000−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ19466-6-6-6-666−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i300000000-666-600000000000000003+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ19566-6-6-6-666−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i3000000006-6-660000000000000000−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ19666-6-6-6-666−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i300000000-666-600000000000000003−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1976-666-6-66-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i300006i−6i6i−6i0000000000006ζ116ζ7−6ζ11−6ζ76ζ116ζ7−6ζ11−6ζ70000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1986-666-6-66-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i30000−6i6i−6i6i000000000000−6ζ11−6ζ76ζ116ζ7−6ζ11−6ζ76ζ116ζ70000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1996-666-6-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i300006i−6i6i−6i0000000000006ζ76ζ11−6ζ7−6ζ116ζ76ζ11−6ζ7−6ζ110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2006-666-6-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i30000−6i6i−6i6i000000000000−6ζ7−6ζ116ζ76ζ11−6ζ7−6ζ116ζ76ζ110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2016-66-6-66-66−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i300006-6-66000000000000−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2026-66-6-66-66−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i30000-666-60000000000003+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2036-66-6-66-66−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i300006-6-66000000000000−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2046-66-6-66-66−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i30000-666-60000000000003−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2056-6-666-6-66−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i36-66-600000000−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2066-6-666-6-66−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3-66-66000000003+3i33−3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2076-6-666-6-66−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i36-66-600000000−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2086-6-666-6-66−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3-66-66000000003−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2096-6-6-6666-6−3−3i3−3+3i33+3i33−3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i36-6-6600000000−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2106-6-6-6666-6−3−3i3−3+3i33+3i33−3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i3-666-6000000003+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2116-6-6-6666-6−3+3i3−3−3i33−3i33+3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i36-6-6600000000−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2126-6-6-6666-6−3+3i3−3−3i33−3i33+3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i3-666-6000000003−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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