Finite Group Databasebeta

← Group #72226263

Character table — Group #72226263

Order 3072.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176
size11112222223333666666666666666666666666666666666666661616161616161616161616163232323232323232323232324848484864646464646464641111222222333366666666666666666666666666666666666666161616161616161616161616323232323232323232323232484848486464646464646464
order12224444442222444444444444444444444444444444444444442334446666661212121212121212121212124444661212121212122222444444222244444444444444444444444444444444444444266444666666121212121212121212121212444466121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+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−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111111111111111111111111111111111111111111111111−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+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−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ311111111111111111111111111111111111111111111111111111−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−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+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111111111111111111111111111111111111111111111111−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−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+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ41111111111111111111111111111111111111111111111111111-111-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111-111-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ51111111111111111111111111111111111111111111111111111-1−1−i32−1+i32-1-1-1−1−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+i32-1-1-1-11+i321−i321+i321+i321+i321−i321−i321−i321111111111111111111111111111111111111111111111111111-1−1−i32−1+i32-1-1-1−1−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+i32-1-1-1-11+i321−i321+i321+i321+i321−i321−i321−i32
χ61111111111111111111111111111111111111111111111111111-1−1+i32−1−i32-1-1-1−1+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−i32-1-1-1-11−i321+i321−i321−i321−i321+i321+i321+i321111111111111111111111111111111111111111111111111111-1−1+i32−1−i32-1-1-1−1+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−i32-1-1-1-11−i321+i321−i321−i321−i321+i321+i321+i32
χ7111111-1-1-1-1111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-111-1-1111-1-11-1-1111111-1-1-1-1111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-111-1-1111-1-11-1-1
χ8111111-1-1-1-1111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−1−i32−1+i321-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−i3211-1-1−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32111111-1-1-1-1111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−1−i32−1+i321-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−i3211-1-1−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32
χ9111111-1-1-1-1111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−1+i32−1−i321-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321+i3211-1-1−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32111111-1-1-1-1111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−1+i32−1−i321-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321+i3211-1-1−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32
χ10111111-1-1-1-1111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111111111-1-1-1-111-1-1-1-1-1-111-1-1-111-111111111-1-1-1-1111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111111111-1-1-1-111-1-1-1-1-1-111-1-1-111-111
χ11111111-1-1-1-1111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i32−1+i32-111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−i32-1-1111+i321−i321+i32−1−i32−1−i321−i32−1+i32−1+i32111111-1-1-1-1111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i32−1+i32-111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−i32-1-1111+i321−i321+i32−1−i32−1−i321−i32−1+i32−1+i32
χ12111111-1-1-1-1111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i32−1−i32-111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321+i32-1-1111−i321+i321−i32−1+i32−1+i321+i32−1−i32−1−i32111111-1-1-1-1111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i32−1−i32-111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321+i32-1-1111−i321+i321−i32−1+i32−1+i321+i32−1−i32−1−i32
χ131111-1-111-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111-11-1111111-1-111-1-1-1-111-1-11-11-111-11-1-11-11111-1-111-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111-11-1111111-1-111-1-1-1-111-1-11-11-111-11-1-11-1
χ141111-1-111-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11−1−i32−1+i32-11-1−1−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−i321-11-1−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i321111-1-111-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11−1−i32−1+i32-11-1−1−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−i321-11-1−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i32
χ151111-1-111-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11−1+i32−1−i32-11-1−1+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+i321-11-1−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i321111-1-111-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11−1+i32−1−i32-11-1−1+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+i321-11-1−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i32
χ161111-1-111-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1111-11111111-1-111-1-1-1-111-1-1-11-11-1-11-111-111111-1-111-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1111-11111111-1-111-1-1-1-111-1-1-11-11-1-11-111-11
χ171111-1-111-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1−1−i32−1+i321-11−1−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−i32-11-111+i321−i32−1−i321+i32−1−i32−1+i321−i32−1+i321111-1-111-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1−1−i32−1+i321-11−1−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−i32-11-111+i321−i32−1−i321+i32−1−i32−1+i321−i32−1+i32
χ181111-1-111-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1−1+i32−1−i321-11−1+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+i32-11-111−i321+i32−1+i321−i32−1+i32−1−i321+i32−1−i321111-1-111-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1−1+i32−1−i321-11−1+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+i32-11-111−i321+i32−1+i321−i32−1+i32−1−i321+i32−1−i32
χ191111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-11111111-1-1-1-111-1-1-1-1111-1-1111-1-11-1-111111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-11111111-1-1-1-111-1-1-1-1111-1-1111-1-11-1-11
χ201111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111−1−i32−1+i32-1-11−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i321-1-11−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i321111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111−1−i32−1+i32-1-11−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i321-1-11−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i32
χ211111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111−1+i32−1−i32-1-11−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i321-1-11−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i321111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111−1+i32−1−i32-1-11−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i321-1-11−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i32
χ221111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111-1111111-1-1-1-111-1-1-1-111-111-1-1-111-111-11111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111-1111111-1-1-1-111-1-1-1-111-111-1-1-111-111-1
χ231111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1−1−i32−1+i3211-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32-111-11+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i321111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1−1−i32−1+i3211-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32-111-11+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i32
χ241111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1−1+i32−1−i3211-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32-111-11−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i321111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1−1+i32−1−i3211-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32-111-11−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i32
χ2522-2-200002i−2i22-2-200002i−2i2222-2-2-2-200000000000000002i2i2i2i−2i−2i−2i−2i0220002-2-22-2-200002i−2i00002i−2i00000000000022-2-200002i−2i22-2-200002i−2i2222-2-2-2-200000000000000002i2i2i2i−2i−2i−2i−2i0220002-2-22-2-200002i−2i00002i−2i000000000000
χ2622-2-200002i−2i22-2-200002i−2i2222-2-2-2-200000000000000002i2i2i2i−2i−2i−2i−2i0−1−i3−1+i3000−1−i31+i31+i3−1+i31−i31−i300002ζ11−2ζ1100002ζ7−2ζ700000000000022-2-200002i−2i22-2-200002i−2i2222-2-2-2-200000000000000002i2i2i2i−2i−2i−2i−2i0−1−i3−1+i3000−1−i31+i31+i3−1+i31−i31−i300002ζ11−2ζ1100002ζ7−2ζ7000000000000
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χ98111111-1-1-1-1111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111111111-1-1-1-111-1-1-1-1-1-111-1-1-111-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-11-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1111-1-11-1-1
χ99111111-1-1-1-1111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i32−1+i32-111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−i32-1-1111+i321−i321+i32−1−i32−1−i321−i32−1+i32−1+i32-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111+i321−i321-1-11+i321+i321+i321−i321−i321−i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1+i32−1+i3211-1-1−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32
χ100111111-1-1-1-1111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i32−1−i32-111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321+i32-1-1111−i321+i321−i32−1+i32−1+i321+i32−1−i32−1−i32-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111−i321+i321-1-11−i321−i321−i321+i321+i321+i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1−i32−1−i3211-1-1−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32
χ1011111-1-111-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111-11-1111111-1-111-1-1-1-111-1-11-11-111-11-1-11-1-1-1-1-111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-11-11-1-1-1-1-1-111-1-11111-1-111-11-11-1-11-111-11
χ1021111-1-111-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11−1−i32−1+i32-11-1−1−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−i321-11-1−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i32-1-1-1-111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-11+i321−i321-111+i321+i321+i321−i321−i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i32-11-111+i321−i32−1−i321+i32−1−i32−1+i321−i32−1+i32
χ1031111-1-111-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11−1+i32−1−i32-11-1−1+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+i321-11-1−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i32-1-1-1-111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-11−i321+i321-111−i321−i321−i321+i321+i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i32-11-111−i321+i32−1+i321−i32−1+i32−1−i321+i32−1−i32
χ1041111-1-111-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1111-11111111-1-111-1-1-1-111-1-1-11-11-1-11-111-11-1-1-1-111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-1-1-11-1-1-1-1-1-1-111-1-11111-1-1111-11-111-11-1-11-1
χ1051111-1-111-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1−1−i32−1+i321-11−1−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−i32-11-111+i321−i32−1−i321+i32−1−i32−1+i321−i32−1+i32-1-1-1-111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111+i321−i32-11-11+i321+i321+i321−i321−i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i321-11-1−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i32
χ1061111-1-111-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1−1+i32−1−i321-11−1+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+i32-11-111−i321+i32−1+i321−i32−1+i32−1−i321+i32−1−i32-1-1-1-111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111−i321+i32-11-11−i321−i321−i321+i321+i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i321-11-1−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i32
χ1071111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-11111111-1-1-1-111-1-1-1-1111-1-1111-1-11-1-11-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-11111-1-1-111-1-1-111-111-1
χ1081111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111−1−i32−1+i32-1-11−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i321-1-11−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i32-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-11+i321−i3211-11+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32-111-11+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i32
χ1091111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111−1+i32−1−i32-1-11−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i321-1-11−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i32-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-11−i321+i3211-11−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32-111-11−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i32
χ1101111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111-1111111-1-1-1-111-1-1-1-111-111-1-1-111-111-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-11111-1-11111-1-11-1-1111-1-11-1-11
χ1111111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1−1−i32−1+i3211-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32-111-11+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i32-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111+i321−i32-1-111+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321-1-11−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i32
χ1121111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1−1+i32−1−i3211-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32-111-11−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i32-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111−i321+i32-1-111−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321-1-11−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i32
χ11322-2-200002i−2i22-2-200002i−2i2222-2-2-2-200000000000000002i2i2i2i−2i−2i−2i−2i0220002-2-22-2-200002i−2i00002i−2i000000000000-2-2220000−2i2i-2-2220000−2i2i-2-2-2-222220000000000000000−2i−2i−2i−2i2i2i2i2i0-2-2000-222-2220000−2i2i0000−2i2i000000000000
χ11422-2-200002i−2i22-2-200002i−2i2222-2-2-2-200000000000000002i2i2i2i−2i−2i−2i−2i0−1−i3−1+i3000−1−i31+i31+i3−1+i31−i31−i300002ζ11−2ζ1100002ζ7−2ζ7000000000000-2-2220000−2i2i-2-2220000−2i2i-2-2-2-222220000000000000000−2i−2i−2i−2i2i2i2i2i01+i31−i30001+i3−1−i3−1−i31−i3−1+i3−1+i30000−2ζ112ζ110000−2ζ72ζ7000000000000
χ11522-2-200002i−2i22-2-200002i−2i2222-2-2-2-200000000000000002i2i2i2i−2i−2i−2i−2i0−1+i3−1−i3000−1+i31−i31−i3−1−i31+i31+i300002ζ7−2ζ700002ζ11−2ζ11000000000000-2-2220000−2i2i-2-2220000−2i2i-2-2-2-222220000000000000000−2i−2i−2i−2i2i2i2i2i01−i31+i30001−i3−1+i3−1+i31+i3−1−i3−1−i30000−2ζ72ζ70000−2ζ112ζ11000000000000
χ11622-2-20000−2i2i22-2-20000−2i2i2222-2-2-2-20000000000000000−2i−2i−2i−2i2i2i2i2i0220002-2-22-2-20000−2i2i0000−2i2i000000000000-2-22200002i−2i-2-22200002i−2i-2-2-2-2222200000000000000002i2i2i2i−2i−2i−2i−2i0-2-2000-222-22200002i−2i00002i−2i000000000000
χ11722-2-20000−2i2i22-2-20000−2i2i2222-2-2-2-20000000000000000−2i−2i−2i−2i2i2i2i2i0−1−i3−1+i3000−1−i31+i31+i3−1+i31−i31−i30000−2ζ112ζ110000−2ζ72ζ7000000000000-2-22200002i−2i-2-22200002i−2i-2-2-2-2222200000000000000002i2i2i2i−2i−2i−2i−2i01+i31−i30001+i3−1−i3−1−i31−i3−1+i3−1+i300002ζ11−2ζ1100002ζ7−2ζ7000000000000
χ11822-2-20000−2i2i22-2-20000−2i2i2222-2-2-2-20000000000000000−2i−2i−2i−2i2i2i2i2i0−1+i3−1−i3000−1+i31−i31−i3−1−i31+i31+i30000−2ζ72ζ70000−2ζ112ζ11000000000000-2-22200002i−2i-2-22200002i−2i-2-2-2-2222200000000000000002i2i2i2i−2i−2i−2i−2i01−i31+i30001−i3−1+i3−1+i31+i3−1−i3−1−i300002ζ7−2ζ700002ζ11−2ζ11000000000000
χ1192-22-2002i−2i002-22-2002i−2i0022-2-222-2-2000000002i2i2i2i−2i−2i−2i−2i00000000022000-22-2-22-2002i−2i00002i−2i00000000000000-22-2200−2i2i00-22-2200−2i2i00-2-222-2-22200000000−2i−2i−2i−2i2i2i2i2i000000000-2-20002-222-2200−2i2i0000−2i2i00000000000000
χ1202-22-2002i−2i002-22-2002i−2i0022-2-222-2-2000000002i2i2i2i−2i−2i−2i−2i000000000−1−i3−1+i30001+i3−1−i31+i31−i3−1+i31−i3002ζ11−2ζ1100002ζ7−2ζ700000000000000-22-2200−2i2i00-22-2200−2i2i00-2-222-2-22200000000−2i−2i−2i−2i2i2i2i2i0000000001+i31−i3000−1−i31+i3−1−i3−1+i31−i3−1+i300−2ζ112ζ110000−2ζ72ζ700000000000000
χ1212-22-2002i−2i002-22-2002i−2i0022-2-222-2-2000000002i2i2i2i−2i−2i−2i−2i000000000−1+i3−1−i30001−i3−1+i31−i31+i3−1−i31+i3002ζ7−2ζ700002ζ11−2ζ1100000000000000-22-2200−2i2i00-22-2200−2i2i00-2-222-2-22200000000−2i−2i−2i−2i2i2i2i2i0000000001−i31+i3000−1+i31−i3−1+i3−1−i31+i3−1−i300−2ζ72ζ70000−2ζ112ζ1100000000000000
χ1222-22-200−2i2i002-22-200−2i2i0022-2-222-2-200000000−2i−2i−2i−2i2i2i2i2i00000000022000-22-2-22-200−2i2i0000−2i2i00000000000000-22-22002i−2i00-22-22002i−2i00-2-222-2-222000000002i2i2i2i−2i−2i−2i−2i000000000-2-20002-222-22002i−2i00002i−2i00000000000000
χ1232-22-200−2i2i002-22-200−2i2i0022-2-222-2-200000000−2i−2i−2i−2i2i2i2i2i000000000−1−i3−1+i30001+i3−1−i31+i31−i3−1+i31−i300−2ζ112ζ110000−2ζ72ζ700000000000000-22-22002i−2i00-22-22002i−2i00-2-222-2-222000000002i2i2i2i−2i−2i−2i−2i0000000001+i31−i3000−1−i31+i3−1−i3−1+i31−i3−1+i3002ζ11−2ζ1100002ζ7−2ζ700000000000000
χ1242-22-200−2i2i002-22-200−2i2i0022-2-222-2-200000000−2i−2i−2i−2i2i2i2i2i000000000−1+i3−1−i30001−i3−1+i31−i31+i3−1−i31+i300−2ζ72ζ70000−2ζ112ζ1100000000000000-22-22002i−2i00-22-22002i−2i00-2-222-2-222000000002i2i2i2i−2i−2i−2i−2i0000000001−i31+i3000−1+i31−i3−1+i3−1−i31+i3−1−i3002ζ7−2ζ700002ζ11−2ζ1100000000000000
χ1252-2-222i−2i00002-2-222i−2i000022-2-2-2-2222i2i2i2i−2i−2i−2i−2i0000000000000000022000-2-22-2-222i−2i00002i−2i0000000000000000-222-2−2i2i0000-222-2−2i2i0000-2-22222-2-2−2i−2i−2i−2i2i2i2i2i00000000000000000-2-200022-222-2−2i2i0000−2i2i0000000000000000
χ1262-2-222i−2i00002-2-222i−2i000022-2-2-2-2222i2i2i2i−2i−2i−2i−2i00000000000000000−1−i3−1+i30001+i31+i3−1−i31−i31−i3−1+i32ζ11−2ζ1100002ζ7−2ζ70000000000000000-222-2−2i2i0000-222-2−2i2i0000-2-22222-2-2−2i−2i−2i−2i2i2i2i2i000000000000000001+i31−i3000−1−i3−1−i31+i3−1+i3−1+i31−i3−2ζ112ζ110000−2ζ72ζ70000000000000000
χ1272-2-222i−2i00002-2-222i−2i000022-2-2-2-2222i2i2i2i−2i−2i−2i−2i00000000000000000−1+i3−1−i30001−i31−i3−1+i31+i31+i3−1−i32ζ7−2ζ700002ζ11−2ζ110000000000000000-222-2−2i2i0000-222-2−2i2i0000-2-22222-2-2−2i−2i−2i−2i2i2i2i2i000000000000000001−i31+i3000−1+i3−1+i31−i3−1−i3−1−i31+i3−2ζ72ζ70000−2ζ112ζ110000000000000000
χ1282-2-22−2i2i00002-2-22−2i2i000022-2-2-2-222−2i−2i−2i−2i2i2i2i2i0000000000000000022000-2-22-2-22−2i2i0000−2i2i0000000000000000-222-22i−2i0000-222-22i−2i0000-2-22222-2-22i2i2i2i−2i−2i−2i−2i00000000000000000-2-200022-222-22i−2i00002i−2i0000000000000000
χ1292-2-22−2i2i00002-2-22−2i2i000022-2-2-2-222−2i−2i−2i−2i2i2i2i2i00000000000000000−1−i3−1+i30001+i31+i3−1−i31−i31−i3−1+i3−2ζ112ζ110000−2ζ72ζ70000000000000000-222-22i−2i0000-222-22i−2i0000-2-22222-2-22i2i2i2i−2i−2i−2i−2i000000000000000001+i31−i3000−1−i3−1−i31+i3−1+i3−1+i31−i32ζ11−2ζ1100002ζ7−2ζ70000000000000000
χ1302-2-22−2i2i00002-2-22−2i2i000022-2-2-2-222−2i−2i−2i−2i2i2i2i2i00000000000000000−1+i3−1−i30001−i31−i3−1+i31+i31+i3−1−i3−2ζ72ζ70000−2ζ112ζ110000000000000000-222-22i−2i0000-222-22i−2i0000-2-22222-2-22i2i2i2i−2i−2i−2i−2i000000000000000001−i31+i3000−1+i3−1+i31−i3−1−i3−1−i31+i32ζ7−2ζ700002ζ11−2ζ110000000000000000
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χ1716-6-666i−6i0000-222-2−2i2i0000−2i2i2i−2i2i−2i−2i2i22-2-2-2-222−2−2i2+2i2−2i−2+2i2+2i−2−2i−2+2i2−2i−2+2i2−2i2+2i−2−2i2−2i−2+2i−2−2i2+2i000000000000000000000000000000000000-666-6−6i6i00002-2-222i−2i00002i−2i−2i2i−2i2i2i−2i-2-22222-2-22+2i−2−2i−2+2i2−2i−2−2i2+2i2−2i−2+2i2−2i−2+2i−2−2i2+2i−2+2i2−2i2+2i−2−2i000000000000000000000000000000000000
χ1726-6-66−6i6i00006-6-66−6i6i0000-2-22222-2-22i2i2i2i−2i−2i−2i−2i0000000000000000000000000000000000000000000000000000-666-66i−6i0000-666-66i−6i000022-2-2-2-222−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000000000000000000000000000
χ1736-6-66−6i6i0000-222-22i−2i00002i−2i−2i2i−2i2i2i−2i22-2-2-2-2222−2i−2+2i−2−2i2+2i−2+2i2−2i2+2i−2−2i2+2i−2−2i−2+2i2−2i−2−2i2+2i2−2i−2+2i000000000000000000000000000000000000-666-66i−6i00002-2-22−2i2i0000−2i2i2i−2i2i−2i−2i2i-2-22222-2-2−2+2i2−2i2+2i−2−2i2−2i−2+2i−2−2i2+2i−2−2i2+2i2−2i−2+2i2+2i−2−2i−2+2i2−2i000000000000000000000000000000000000
χ1746-6-66−6i6i0000-222-22i−2i00002i−2i−2i2i−2i2i2i−2i22-2-2-2-222−2+2i2−2i2+2i−2−2i2−2i−2+2i−2−2i2+2i−2−2i2+2i2−2i−2+2i2+2i−2−2i−2+2i2−2i000000000000000000000000000000000000-666-66i−6i00002-2-22−2i2i0000−2i2i2i−2i2i−2i−2i2i-2-22222-2-22−2i−2+2i−2−2i2+2i−2+2i2−2i2+2i−2−2i2+2i−2−2i−2+2i2−2i−2−2i2+2i2−2i−2+2i000000000000000000000000000000000000
χ1756-6-66−6i6i0000-222-22i−2i0000−2i2i2i−2i2i−2i−2i2i-2-22222-2-22+2i−2−2i−2+2i2−2i−2−2i2+2i2−2i−2+2i−2+2i2−2i2+2i−2−2i2−2i−2+2i−2−2i2+2i000000000000000000000000000000000000-666-66i−6i00002-2-22−2i2i00002i−2i−2i2i−2i2i2i−2i22-2-2-2-222−2−2i2+2i2−2i−2+2i2+2i−2−2i−2+2i2−2i2−2i−2+2i−2−2i2+2i−2+2i2−2i2+2i−2−2i000000000000000000000000000000000000
χ1766-6-66−6i6i0000-222-22i−2i0000−2i2i2i−2i2i−2i−2i2i-2-22222-2-2−2−2i2+2i2−2i−2+2i2+2i−2−2i−2+2i2−2i2−2i−2+2i−2−2i2+2i−2+2i2−2i2+2i−2−2i000000000000000000000000000000000000-666-66i−6i00002-2-22−2i2i00002i−2i−2i2i−2i2i2i−2i22-2-2-2-2222+2i−2−2i−2+2i2−2i−2−2i2+2i2−2i−2+2i−2+2i2−2i2+2i−2−2i2−2i−2+2i−2−2i2+2i000000000000000000000000000000000000

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