Finite Group Databasebeta

← Group #13157328

Character table — Group #13157328

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198
size111122222222222222444444444444444444444444444418181818181818182424242424242424242424241111222222222222224444444444444444444444444444181818181818181824242424242424242424242411112222222222222244444444444444444444444444441818181818181818242424242424242424242424
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χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
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χ7522222222-2-2-2-22222222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-200000000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i300000000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i300000000000000000000
χ76222222-2-222-2-22222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2222200000000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−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+i31−i31−i31−i31−i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i300000000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+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−i31+i31+i31+i31+i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i300000000000000000000
χ7722222-122222222-1-12-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000220000-1-1-1-1−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i320000000000−1+i3−1+i300001−i321−i321−i321−i32−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i320000000000−1−i3−1−i300001+i321+i321+i321+i32
χ7822222-122222222-1-12-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000-2-200001111−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i3200000000001−i31−i30000−1+i32−1+i32−1+i32−1+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i3200000000001+i31+i30000−1−i32−1−i32−1−i32−1−i32
χ7922222-122-2-2-2-222-1-12-1-1-1-1-1-2-21122-1-1-2-2111111-1-1-1-111110000000000000000−i3i3−i3i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i321−i31−i3−1+i32−1+i32−1+i3−1+i31−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200000000000000003+i32−3−i323+i32−3−i32−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i321+i31+i3−1−i32−1−i32−1−i3−1−i31+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000000000000000−3+i323−i32−3+i323−i32
χ8022222-122-2-2-2-222-1-12-1-1-1-1-1-2-21122-1-1-2-2111111-1-1-1-111110000000000000000i3−i3i3−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i321−i31−i3−1+i32−1+i32−1+i3−1+i31−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000000000000000−3−i323+i32−3−i323+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i321+i31+i3−1−i32−1−i32−1−i3−1−i31+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200000000000000003−i32−3+i323−i32−3+i32
χ8122222-1-2-222-2-222-1-12-1-1-1-1-1-2-211-2-21122-1-111111111-1-1-1-10000000000000000−i3i3i3−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i321−i31−i3−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i3−1+i31−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i3200000000000000003+i32−3−i32−3−i323+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i321+i31+i3−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i3−1−i31+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i320000000000000000−3+i323−i323−i32−3+i32
χ8222222-1-2-222-2-222-1-12-1-1-1-1-1-2-211-2-21122-1-111111111-1-1-1-10000000000000000i3−i3−i3i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i321−i31−i3−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i3−1+i31−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i320000000000000000−3−i323+i323+i32−3−i32−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i321+i31+i3−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i3−1−i31+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i3200000000000000003−i32−3+i32−3+i323−i32
χ8322222-1-2-2-2-22222-1-12-1-1-1-1-122-1-1-2-211-2-211-1-1-1-11111111100000000002-20000-1-111−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i31−i3−1+i32−1+i321−i31−i3−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320000000000−1+i31−i300001−i321−i32−1+i32−1+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i31+i3−1−i32−1−i321+i31+i3−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320000000000−1−i31+i300001+i321+i32−1−i32−1−i32
χ8422222-1-2-2-2-22222-1-12-1-1-1-1-122-1-1-2-211-2-211-1-1-1-1111111110000000000-22000011-1-1−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i31−i3−1+i32−1+i321−i31−i3−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200000000001−i3−1+i30000−1+i32−1+i321−i321−i32−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i31+i3−1−i32−1−i321+i31+i3−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200000000001+i3−1−i30000−1−i32−1−i321+i321+i32
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χ892222-12-2-222-2-2-1-122-12-1-1-1-111-2-211-2-2-1-12211111111-1-1-1-1000000000000−i3i3i3−i30000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i31−i3−1+i3−1+i31−i31−i31−i321−i32−1+i3−1+i31−i32−1+i31−i321−i321−i321−i32−1+i32−1+i321−i31−i3−1+i32−1+i321−i31−i31−i321−i32−1+i3−1+i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i320000000000003+i32−3−i32−3−i323+i320000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i31+i3−1−i3−1−i31+i31+i31+i321+i32−1−i3−1−i31+i32−1−i31+i321+i321+i321+i32−1−i32−1−i321+i31+i3−1−i32−1−i321+i31+i31+i321+i32−1−i3−1−i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32000000000000−3+i323−i323−i32−3+i320000
χ902222-12-2-222-2-2-1-122-12-1-1-1-111-2-211-2-2-1-12211111111-1-1-1-1000000000000i3−i3−i3i30000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i31−i3−1+i3−1+i31−i31−i31−i321−i32−1+i3−1+i31−i32−1+i31−i321−i321−i321−i32−1+i32−1+i321−i31−i3−1+i32−1+i321−i31−i31−i321−i32−1+i3−1+i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32000000000000−3−i323+i323+i32−3−i320000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i31+i3−1−i3−1−i31+i31+i31+i321+i32−1−i3−1−i31+i32−1−i31+i321+i321+i321+i32−1−i32−1−i321+i31+i3−1−i32−1−i321+i31+i31+i321+i32−1−i3−1−i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i320000000000003−i32−3+i32−3+i323−i320000
χ912222-12-2-2-2-222-1-122-12-1-1-1-1-1-12211-2-211-2-2-1-1-1-111111111000000002-200-1-1110000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i31−i31−i31−i3−1+i3−1+i31−i321−i32−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i32−1+i321−i31−i3−1+i32−1+i321−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200000000−1+i31−i3001−i321−i32−1+i32−1+i320000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i31+i31+i31+i3−1−i3−1−i31+i321+i32−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i32−1−i321+i31+i3−1−i32−1−i321+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200000000−1−i31+i3001+i321+i32−1−i32−1−i320000
χ922222-12-2-2-2-222-1-122-12-1-1-1-1-1-12211-2-211-2-2-1-1-1-11111111100000000-220011-1-10000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i31−i31−i31−i3−1+i3−1+i31−i321−i32−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i32−1+i321−i31−i3−1+i32−1+i321−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000001−i3−1+i300−1+i32−1+i321−i321−i320000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i31+i31+i31+i3−1−i3−1−i31+i321+i32−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i32−1−i321+i31+i3−1−i32−1−i321+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000001+i3−1−i300−1−i32−1−i321+i321+i320000
χ9322-2-22200002-22-22-2-2-222-2-22-22-20000000022-2-200000000000022-2-2000000000000−1+i3−1+i31−i31−i3−1+i3−1+i30000−1+i31−i3−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i300000000−1+i3−1+i31−i31−i3000000000000−1+i3−1+i31−i31−i3000000000000−1−i3−1−i31+i31+i3−1−i3−1−i30000−1−i31+i3−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i300000000−1−i3−1−i31+i31+i3000000000000−1−i3−1−i31+i31+i3000000000000
χ9422-2-22200002-22-22-2-2-222-2-22-22-20000000022-2-2000000000000-2-222000000000000−1+i3−1+i31−i31−i3−1+i3−1+i30000−1+i31−i3−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i300000000−1+i3−1+i31−i31−i30000000000001−i31−i3−1+i3−1+i3000000000000−1−i3−1−i31+i31+i3−1−i3−1−i30000−1−i31+i3−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i300000000−1−i3−1−i31+i31+i30000000000001+i31+i3−1−i3−1−i3000000000000
χ9522-2-2220000-222-22-2-2-222-2-2-22-2200000000-2-2220000000022-2-20000000000000000−1+i3−1+i31−i31−i3−1+i3−1+i300001−i3−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i31−i31−i31−i3−1+i31−i3−1+i3000000001−i31−i3−1+i3−1+i300000000−1+i3−1+i31−i31−i30000000000000000−1−i3−1−i31+i31+i3−1−i3−1−i300001+i3−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i31+i31+i31+i3−1−i31+i3−1−i3000000001+i31+i3−1−i3−1−i300000000−1−i3−1−i31+i31+i30000000000000000
χ9622-2-2220000-222-22-2-2-222-2-2-22-2200000000-2-22200000000-2-2220000000000000000−1+i3−1+i31−i31−i3−1+i3−1+i300001−i3−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i31−i31−i31−i3−1+i31−i3−1+i3000000001−i31−i3−1+i3−1+i3000000001−i31−i3−1+i3−1+i30000000000000000−1−i3−1−i31+i31+i3−1−i3−1−i300001+i3−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i31+i31+i31+i3−1−i31+i3−1−i3000000001+i31+i3−1−i3−1−i3000000001+i31+i3−1−i3−1−i30000000000000000
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χ982-22-2222-20000-22-22-2-22-22-200002-22-20000000022-2-20000−22−22−22−22000000000000−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i31−i300001−i3−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i31−i30000−1+i31−i3−1+i31−i300000000−1+i3−1+i31−i31−i30000−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23000000000000−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i31+i300001+i3−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i31+i30000−1−i31+i3−1−i31+i300000000−1−i3−1−i31+i31+i30000ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13000000000000
χ992-22-222-220000-22-22-2-22-22-20000-22-2200000000-2-22200002−22−2−22−22000000000000−1+i31−i3−1+i31−i3−1+i3−1+i31−i3−1+i300001−i3−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i31−i300001−i3−1+i31−i3−1+i3000000001−i31−i3−1+i3−1+i30000ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23000000000000−1−i31+i3−1−i31+i3−1−i3−1−i31+i3−1−i300001+i3−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i31+i300001+i3−1−i31+i3−1−i3000000001+i31+i3−1−i3−1−i30000−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13000000000000
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χ1012-2-2222002-200-2-2-2-2222-2-22000000002-22-20000000022-2-22−2−222−2−22000000000000−1+i31−i31−i3−1+i3−1+i3−1+i300−1+i31−i3001−i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i300000000−1+i31−i3−1+i31−i300000000−1+i3−1+i31−i31−i3ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23000000000000−1−i31+i31+i3−1−i3−1−i3−1−i300−1−i31+i3001+i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i300000000−1−i31+i3−1−i31+i300000000−1−i3−1−i31+i31+i3−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13000000000000
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χ1032-2-222200-2200-2-2-2-2222-2-2200000000-22-2200000000-2-2222−2−22−222−2000000000000−1+i31−i31−i3−1+i3−1+i3−1+i3001−i3−1+i3001−i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i3000000001−i3−1+i31−i3−1+i3000000001−i31−i3−1+i3−1+i3ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23000000000000−1−i31+i31+i3−1−i3−1−i3−1−i3001+i3−1−i3001+i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i3000000001+i3−1−i31+i3−1−i3000000001+i31+i3−1−i3−1−i3−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13000000000000
χ1042-2-222200-2200-2-2-2-2222-2-2200000000-22-2200000000-2-222−222−22−2−22000000000000−1+i31−i31−i3−1+i3−1+i3−1+i3001−i3−1+i3001−i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i3000000001−i3−1+i31−i3−1+i3000000001−i31−i3−1+i3−1+i3−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23000000000000−1−i31+i31+i3−1−i3−1−i3−1−i3001+i3−1−i3001+i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i3000000001+i3−1−i31+i3−1−i3000000001+i31+i3−1−i3−1−i3ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13000000000000
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χ142222222-2-222-2-22222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2222200000000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+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−i31+i31+i31+i31+i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i300000000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−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+i31−i31−i31−i31−i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i300000000000000000000
χ14322222-122222222-1-12-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000220000-1-1-1-1−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i320000000000−1−i3−1−i300001+i321+i321+i321+i32−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i320000000000−1+i3−1+i300001−i321−i321−i321−i32
χ14422222-122222222-1-12-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000-2-200001111−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i3200000000001+i31+i30000−1−i32−1−i32−1−i32−1−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i3200000000001−i31−i30000−1+i32−1+i32−1+i32−1+i32
χ14522222-122-2-2-2-222-1-12-1-1-1-1-1-2-21122-1-1-2-2111111-1-1-1-111110000000000000000−i3i3−i3i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i321+i31+i3−1−i32−1−i32−1−i3−1−i31+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000000000000000−3+i323−i32−3+i323−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i321−i31−i3−1+i32−1+i32−1+i3−1+i31−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200000000000000003+i32−3−i323+i32−3−i32
χ14622222-122-2-2-2-222-1-12-1-1-1-1-1-2-21122-1-1-2-2111111-1-1-1-111110000000000000000i3−i3i3−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i321+i31+i3−1−i32−1−i32−1−i3−1−i31+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200000000000000003−i32−3+i323−i32−3+i32−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i321−i31−i3−1+i32−1+i32−1+i3−1+i31−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000000000000000−3−i323+i32−3−i323+i32
χ14722222-1-2-222-2-222-1-12-1-1-1-1-1-2-211-2-21122-1-111111111-1-1-1-10000000000000000−i3i3i3−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i321+i31+i3−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i3−1−i31+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i320000000000000000−3+i323−i323−i32−3+i32−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i321−i31−i3−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i3−1+i31−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i3200000000000000003+i32−3−i32−3−i323+i32
χ14822222-1-2-222-2-222-1-12-1-1-1-1-1-2-211-2-21122-1-111111111-1-1-1-10000000000000000i3−i3−i3i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i321+i31+i3−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i3−1−i31+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i3200000000000000003−i32−3+i32−3+i323−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i321−i31−i3−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i3−1+i31−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i320000000000000000−3−i323+i323+i32−3−i32
χ14922222-1-2-2-2-22222-1-12-1-1-1-1-122-1-1-2-211-2-211-1-1-1-11111111100000000002-20000-1-111−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i31+i3−1−i32−1−i321+i31+i3−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320000000000−1−i31+i300001+i321+i32−1−i32−1−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i31−i3−1+i32−1+i321−i31−i3−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320000000000−1+i31−i300001−i321−i32−1+i32−1+i32
χ15022222-1-2-2-2-22222-1-12-1-1-1-1-122-1-1-2-211-2-211-1-1-1-1111111110000000000-22000011-1-1−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i31+i3−1−i32−1−i321+i31+i3−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200000000001+i3−1−i30000−1−i32−1−i321+i321+i32−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i31−i3−1+i32−1+i321−i31−i3−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200000000001−i3−1+i30000−1+i32−1+i321−i321−i32
χ1512222-12222222-1-122-12-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1000000002200-1-1-1-10000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i3200000000−1−i3−1−i3001+i321+i321+i321+i320000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i3200000000−1+i3−1+i3001−i321−i321−i321−i320000
χ1522222-12222222-1-122-12-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000-2-20011110000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32000000001+i31+i300−1−i32−1−i32−1−i32−1−i320000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32000000001−i31−i300−1+i32−1+i32−1+i32−1+i320000
χ1532222-1222-2-2-2-2-1-122-12-1-1-1-111-2-2-1-12211-2-21111-1-1-1-11111000000000000−i3i3−i3i30000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i31+i31+i31+i31+i321+i32−1−i3−1−i31+i32−1−i31+i321+i321+i321+i32−1−i32−1−i321+i31+i31+i321+i32−1−i3−1−i3−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32000000000000−3+i323−i32−3+i323−i320000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i31−i31−i31−i31−i321−i32−1+i3−1+i31−i32−1+i31−i321−i321−i321−i32−1+i32−1+i321−i31−i31−i321−i32−1+i3−1+i3−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000000000003+i32−3−i323+i32−3−i320000
χ1542222-1222-2-2-2-2-1-122-12-1-1-1-111-2-2-1-12211-2-21111-1-1-1-11111000000000000i3−i3i3−i30000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i31+i31+i31+i31+i321+i32−1−i3−1−i31+i32−1−i31+i321+i321+i321+i32−1−i32−1−i321+i31+i31+i321+i32−1−i3−1−i3−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000000000003−i32−3+i323−i32−3+i320000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i31−i31−i31−i31−i321−i32−1+i3−1+i31−i32−1+i31−i321−i321−i321−i32−1+i32−1+i321−i31−i31−i321−i32−1+i3−1+i3−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32000000000000−3−i323+i32−3−i323+i320000
χ1552222-12-2-222-2-2-1-122-12-1-1-1-111-2-211-2-2-1-12211111111-1-1-1-1000000000000−i3i3i3−i30000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i31+i3−1−i3−1−i31+i31+i31+i321+i32−1−i3−1−i31+i32−1−i31+i321+i321+i321+i32−1−i32−1−i321+i31+i3−1−i32−1−i321+i31+i31+i321+i32−1−i3−1−i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32000000000000−3+i323−i323−i32−3+i320000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i31−i3−1+i3−1+i31−i31−i31−i321−i32−1+i3−1+i31−i32−1+i31−i321−i321−i321−i32−1+i32−1+i321−i31−i3−1+i32−1+i321−i31−i31−i321−i32−1+i3−1+i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i320000000000003+i32−3−i32−3−i323+i320000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.