Finite Group Databasebeta

← Group #13163825

Character table — Group #13163825

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204
size112222222222222222222222222222244444444444444444444444444444444444444488888888888888888888888888854545454216112222222222222222222222222222244444444444444444444444444444444444444488888888888888888888888888854545454216
order123333333333333466666666666668812121212121212121212121212242424242424242424242424242424242424242424242424242441212121212121212121212121212121212121212121212121212161616162226666666666666466666666666668812121212121212121212121212242424242424242424242424242424242424242424242424242441212121212121212121212121212121212121212121212121212161616162
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1
χ41111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11
χ522222222222222222222222222222-2-22222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000022222222222222222222222222222-2-22222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000
χ6222222222222222-2222222222222200-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000022−2−20222222222222222-2222222222222200-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000022−2−20
χ7222222222222222-2222222222222200-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000−2−2220222222222222222-2222222222222200-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000−2−2220
χ8222222-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000222222-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000
χ9222222-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-211111111111111111100000222222-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-211111111111111111100000
χ10222222-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-2-22222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111000000000−i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3i300000222222-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-2-22222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111000000000−i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3i300000
χ11222222-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-2-22222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111000000000i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3−i300000222222-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-2-22222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111000000000i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3−i300000
χ12222-1-1-1222-1-1-1-1-1-122-1-1-1222-1-1-1-1-1-1222-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-100000222-1-1-1222-1-1-1-1-1-122-1-1-1222-1-1-1-1-1-1222-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-100000
χ13222-1-1-1222-1-1-1-1-1-122-1-1-1222-1-1-1-1-1-1222-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2111111-2-2-2111111-2-2-211111100000222-1-1-1222-1-1-1-1-1-122-1-1-1222-1-1-1-1-1-1222-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2111111-2-2-2111111-2-2-211111100000
χ14222-1-1-1222-1-1-1-1-1-122-1-1-1222-1-1-1-1-1-1-2-22-1-1-1222-1-1-1-1-1-1-2-2111111-2-2-2-2-2-2111111111111000−i3−i3−i3i3i3i3000−i3−i3−i3i3i3i3000−i3−i3−i3i3i3i300000222-1-1-1222-1-1-1-1-1-122-1-1-1222-1-1-1-1-1-1-2-22-1-1-1222-1-1-1-1-1-1-2-2111111-2-2-2-2-2-2111111111111000−i3−i3−i3i3i3i3000−i3−i3−i3i3i3i3000−i3−i3−i3i3i3i300000
χ15222-1-1-1222-1-1-1-1-1-122-1-1-1222-1-1-1-1-1-1-2-22-1-1-1222-1-1-1-1-1-1-2-2111111-2-2-2-2-2-2111111111111000i3i3i3−i3−i3−i3000i3i3i3−i3−i3−i3000i3i3i3−i3−i3−i300000222-1-1-1222-1-1-1-1-1-122-1-1-1222-1-1-1-1-1-1-2-22-1-1-1222-1-1-1-1-1-1-2-2111111-2-2-2-2-2-2111111111111000i3i3i3−i3−i3−i3000i3i3i3−i3−i3−i3000i3i3i3−i3−i3−i300000
χ16222-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-1222-1-1-1222-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-122200000222-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-1222-1-1-1222-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-122200000
χ17222-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-1222-1-1-1222-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-2-2-2111111111-2-2-2111111111-2-2-200000222-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-1222-1-1-1222-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-2-2-2111111111-2-2-2111111111-2-2-200000
χ18222-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-1222-1-1-1-2-22-1-1-1-1-1-1222-1-1-1-2-2111111111111-2-2-2-2-2-2111111000−i3−i3−i3i3i3i3i3i3i3000−i3−i3−i3−i3−i3−i3i3i3i300000000222-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-1222-1-1-1-2-22-1-1-1-1-1-1222-1-1-1-2-2111111111111-2-2-2-2-2-2111111000−i3−i3−i3i3i3i3i3i3i3000−i3−i3−i3−i3−i3−i3i3i3i300000000
χ19222-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-1222-1-1-1-2-22-1-1-1-1-1-1222-1-1-1-2-2111111111111-2-2-2-2-2-2111111000i3i3i3−i3−i3−i3−i3−i3−i3000i3i3i3i3i3i3−i3−i3−i300000000222-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-1222-1-1-1-2-22-1-1-1-1-1-1222-1-1-1-2-2111111111111-2-2-2-2-2-2111111000i3i3i3−i3−i3−i3−i3−i3−i3000i3i3i3i3i3i3−i3−i3−i300000000
χ20222-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1222-1-1-100000222-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1222-1-1-100000
χ21222-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-2-2-2111111111111-2-2-2111-2-2-211100000222-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-2-2-2111111111111-2-2-2111-2-2-211100000
χ22222-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1222-2-22-1-1-1-1-1-1-1-1-1222-2-2111111111111111111-2-2-2-2-2-2000−i3−i3−i3i3i3i3−i3−i3−i3i3i3i3000i3i3i3000−i3−i3−i300000222-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1222-2-22-1-1-1-1-1-1-1-1-1222-2-2111111111111111111-2-2-2-2-2-2000−i3−i3−i3i3i3i3−i3−i3−i3i3i3i3000i3i3i3000−i3−i3−i300000
χ23222-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1222-2-22-1-1-1-1-1-1-1-1-1222-2-2111111111111111111-2-2-2-2-2-2000i3i3i3−i3−i3−i3i3i3i3−i3−i3−i3000−i3−i3−i3000i3i3i300000222-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1222-2-22-1-1-1-1-1-1-1-1-1222-2-2111111111111111111-2-2-2-2-2-2000i3i3i3−i3−i3−i3i3i3i3−i3−i3−i3000−i3−i3−i3000i3i3i300000
χ2422-12-1-12-1-12-1-12-1-12-12-1-12-1-12-1-12-1-122-12-1-12-1-12-1-12-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-10000022-12-1-12-1-12-1-12-1-12-12-1-12-1-12-1-12-1-122-12-1-12-1-12-1-12-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-100000
χ2522-12-1-12-1-12-1-12-1-12-12-1-12-1-12-1-12-1-122-12-1-12-1-12-1-12-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-211-211-211-211-211-211-211-211-2110000022-12-1-12-1-12-1-12-1-12-12-1-12-1-12-1-12-1-122-12-1-12-1-12-1-12-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-211-211-211-211-211-211-211-211-21100000
χ2622-12-1-12-1-12-1-12-1-12-12-1-12-1-12-1-12-1-1-2-2-12-1-12-1-12-1-12-1-111-2-21111-2-21111-2-21111-2-211110−i3i30−i3i30−i3i30−i3i30−i3i30−i3i30−i3i30−i3i30−i3i30000022-12-1-12-1-12-1-12-1-12-12-1-12-1-12-1-12-1-1-2-2-12-1-12-1-12-1-12-1-111-2-21111-2-21111-2-21111-2-211110−i3i30−i3i30−i3i30−i3i30−i3i30−i3i30−i3i30−i3i30−i3i300000
χ2722-12-1-12-1-12-1-12-1-12-12-1-12-1-12-1-12-1-1-2-2-12-1-12-1-12-1-12-1-111-2-21111-2-21111-2-21111-2-211110i3−i30i3−i30i3−i30i3−i30i3−i30i3−i30i3−i30i3−i30i3−i30000022-12-1-12-1-12-1-12-1-12-12-1-12-1-12-1-12-1-1-2-2-12-1-12-1-12-1-12-1-111-2-21111-2-21111-2-21111-2-211110i3−i30i3−i30i3−i30i3−i30i3−i30i3−i30i3−i30i3−i30i3−i300000
χ2822-12-1-1-12-1-12-1-12-12-12-1-1-12-1-12-1-12-122-12-1-1-12-1-12-1-12-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-12-1-12-1-12-1-1-12-1-12-1-12-1-1-12-1-12-1-120000022-12-1-1-12-1-12-1-12-12-12-1-1-12-1-12-1-12-122-12-1-1-12-1-12-1-12-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-12-1-12-1-12-1-1-12-1-12-1-12-1-1-12-1-12-1-1200000
χ2922-12-1-1-12-1-12-1-12-12-12-1-1-12-1-12-1-12-122-12-1-1-12-1-12-1-12-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-211-211-2111-211-211-2111-211-211-20000022-12-1-1-12-1-12-1-12-12-12-1-1-12-1-12-1-12-122-12-1-1-12-1-12-1-12-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-211-211-2111-211-211-2111-211-211-200000
χ3022-12-1-1-12-1-12-1-12-12-12-1-1-12-1-12-1-12-1-2-2-12-1-1-12-1-12-1-12-111-2-2111111-2-21111-2-21111-2-2110−i3i30−i3i30−i3i3i30−i3i30−i3i30−i3−i3i30−i3i30−i3i300000022-12-1-1-12-1-12-1-12-12-12-1-1-12-1-12-1-12-1-2-2-12-1-1-12-1-12-1-12-111-2-2111111-2-21111-2-21111-2-2110−i3i30−i3i30−i3i3i30−i3i30−i3i30−i3−i3i30−i3i30−i3i3000000
χ3122-12-1-1-12-1-12-1-12-12-12-1-1-12-1-12-1-12-1-2-2-12-1-1-12-1-12-1-12-111-2-2111111-2-21111-2-21111-2-2110i3−i30i3−i30i3−i3−i30i3−i30i3−i30i3i3−i30i3−i30i3−i300000022-12-1-1-12-1-12-1-12-12-12-1-1-12-1-12-1-12-1-2-2-12-1-1-12-1-12-1-12-111-2-2111111-2-21111-2-21111-2-2110i3−i30i3−i30i3−i3−i30i3−i30i3−i30i3i3−i30i3−i30i3−i3000000
χ3222-12-1-1-1-12-1-12-1-122-12-1-1-1-12-1-12-1-1222-12-1-1-1-12-1-12-1-12-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1222-1-12-1-12-1-1-1-12-1-12-1-12-12-1-12-1-12-10000022-12-1-1-1-12-1-12-1-122-12-1-1-1-12-1-12-1-1222-12-1-1-1-12-1-12-1-12-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1222-1-12-1-12-1-1-1-12-1-12-1-12-12-1-12-1-12-100000
χ3322-12-1-1-1-12-1-12-1-122-12-1-1-1-12-1-12-1-1222-12-1-1-1-12-1-12-1-12-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122-211-211-21111-211-211-21-211-211-210000022-12-1-1-1-12-1-12-1-122-12-1-1-1-12-1-12-1-1222-12-1-1-1-12-1-12-1-12-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122-211-211-21111-211-211-21-211-211-2100000
χ3422-12-1-1-1-12-1-12-1-122-12-1-1-1-12-1-12-1-12-2-2-12-1-1-1-12-1-12-1-1211-2-211111111-2-21111-2-21111-2-20−i3i30−i3i30−i3i3−i3i30−i3i30−i3i30i30−i3i30−i3i30−i30000022-12-1-1-1-12-1-12-1-122-12-1-1-1-12-1-12-1-12-2-2-12-1-1-1-12-1-12-1-1211-2-211111111-2-21111-2-21111-2-20−i3i30−i3i30−i3i3−i3i30−i3i30−i3i30i30−i3i30−i3i30−i300000
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χ118222-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-1222-1-1-1222-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-122200000-2-2-2111111-2-2-2111-2-2111111-2-2-2111-2-2-2111111-2-2-2111-2-2111111111111-2-2-2-2-2-2111111-2-2-2111111111-2-2-2111111111-2-2-200000
χ119222-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-1222-1-1-1222-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-2-2-2111111111-2-2-2111111111-2-2-200000-2-2-2111111-2-2-2111-2-2111111-2-2-2111-2-2-2111111-2-2-2111-2-2111111111111-2-2-2-2-2-2111111222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-122200000
χ120222-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-1222-1-1-1-2-22-1-1-1-1-1-1222-1-1-1-2-2111111111111-2-2-2-2-2-2111111000−i3−i3−i3i3i3i3i3i3i3000−i3−i3−i3−i3−i3−i3i3i3i300000000-2-2-2111111-2-2-2111-2-2111111-2-2-211122-2111111-2-2-211122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1000i3i3i3−i3−i3−i3−i3−i3−i3000i3i3i3i3i3i3−i3−i3−i300000000
χ121222-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-1222-1-1-1-2-22-1-1-1-1-1-1222-1-1-1-2-2111111111111-2-2-2-2-2-2111111000i3i3i3−i3−i3−i3−i3−i3−i3000i3i3i3i3i3i3−i3−i3−i300000000-2-2-2111111-2-2-2111-2-2111111-2-2-211122-2111111-2-2-211122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1000−i3−i3−i3i3i3i3i3i3i3000−i3−i3−i3−i3−i3−i3i3i3i300000000
χ122222-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1222-1-1-100000-2-2-2111111111-2-2-2-2-2111111111-2-2-2-2-2-2111111111-2-2-2-2-2111111111111111111-2-2-2-2-2-2-2-2-2111111111111-2-2-2111-2-2-211100000
χ123222-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-2-2-2111111111111-2-2-2111-2-2-211100000-2-2-2111111111-2-2-2-2-2111111111-2-2-2-2-2-2111111111-2-2-2-2-2111111111111111111-2-2-2-2-2-2222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1222-1-1-100000
χ124222-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1222-2-22-1-1-1-1-1-1-1-1-1222-2-2111111111111111111-2-2-2-2-2-2000−i3−i3−i3i3i3i3−i3−i3−i3i3i3i3000i3i3i3000−i3−i3−i300000-2-2-2111111111-2-2-2-2-2111111111-2-2-222-2111111111-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222000i3i3i3−i3−i3−i3i3i3i3−i3−i3−i3000−i3−i3−i3000i3i3i300000
χ125222-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1222-2-22-1-1-1-1-1-1-1-1-1222-2-2111111111111111111-2-2-2-2-2-2000i3i3i3−i3−i3−i3i3i3i3−i3−i3−i3000−i3−i3−i3000i3i3i300000-2-2-2111111111-2-2-2-2-2111111111-2-2-222-2111111111-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222000−i3−i3−i3i3i3i3−i3−i3−i3i3i3i3000i3i3i3000−i3−i3−i300000
χ12622-12-1-12-1-12-1-12-1-12-12-1-12-1-12-1-12-1-122-12-1-12-1-12-1-12-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-100000-2-21-211-211-211-211-21-211-211-211-211-2-21-211-211-211-21111-2-21111-2-21111-2-21111-2-21111-211-211-211-211-211-211-211-211-21100000
χ12722-12-1-12-1-12-1-12-1-12-12-1-12-1-12-1-12-1-122-12-1-12-1-12-1-12-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-211-211-211-211-211-211-211-211-21100000-2-21-211-211-211-211-21-211-211-211-211-2-21-211-211-211-21111-2-21111-2-21111-2-21111-2-211112-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-100000
χ12822-12-1-12-1-12-1-12-1-12-12-1-12-1-12-1-12-1-1-2-2-12-1-12-1-12-1-12-1-111-2-21111-2-21111-2-21111-2-211110−i3i30−i3i30−i3i30−i3i30−i3i30−i3i30−i3i30−i3i30−i3i300000-2-21-211-211-211-211-21-211-211-211-211221-211-211-211-211-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-10i3−i30i3−i30i3−i30i3−i30i3−i30i3−i30i3−i30i3−i30i3−i300000
χ12922-12-1-12-1-12-1-12-1-12-12-1-12-1-12-1-12-1-1-2-2-12-1-12-1-12-1-12-1-111-2-21111-2-21111-2-21111-2-211110i3−i30i3−i30i3−i30i3−i30i3−i30i3−i30i3−i30i3−i30i3−i300000-2-21-211-211-211-211-21-211-211-211-211221-211-211-211-211-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-10−i3i30−i3i30−i3i30−i3i30−i3i30−i3i30−i3i30−i3i30−i3i300000
χ13022-12-1-1-12-1-12-1-12-12-12-1-1-12-1-12-1-12-122-12-1-1-12-1-12-1-12-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-12-1-12-1-12-1-1-12-1-12-1-12-1-1-12-1-12-1-1200000-2-21-2111-211-211-21-21-2111-211-211-21-2-21-2111-211-211-2111-2-2111111-2-21111-2-21111-2-211-211-211-2111-211-211-2111-211-211-200000
χ13122-12-1-1-12-1-12-1-12-12-12-1-1-12-1-12-1-12-122-12-1-1-12-1-12-1-12-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-211-211-2111-211-211-2111-211-211-200000-2-21-2111-211-211-21-21-2111-211-211-21-2-21-2111-211-211-2111-2-2111111-2-21111-2-21111-2-2112-1-12-1-12-1-1-12-1-12-1-12-1-1-12-1-12-1-1200000
χ13222-12-1-1-12-1-12-1-12-12-12-1-1-12-1-12-1-12-1-2-2-12-1-1-12-1-12-1-12-111-2-2111111-2-21111-2-21111-2-2110−i3i30−i3i30−i3i3i30−i3i30−i3i30−i3−i3i30−i3i30−i3i3000000-2-21-2111-211-211-21-21-2111-211-211-21221-2111-211-211-21-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-10i3−i30i3−i30i3−i3−i30i3−i30i3−i30i3i3−i30i3−i30i3−i3000000
χ13322-12-1-1-12-1-12-1-12-12-12-1-1-12-1-12-1-12-1-2-2-12-1-1-12-1-12-1-12-111-2-2111111-2-21111-2-21111-2-2110i3−i30i3−i30i3−i3−i30i3−i30i3−i30i3i3−i30i3−i30i3−i3000000-2-21-2111-211-211-21-21-2111-211-211-21221-2111-211-211-21-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-10−i3i30−i3i30−i3i3i30−i3i30−i3i30−i3−i3i30−i3i30−i3i3000000
χ13422-12-1-1-1-12-1-12-1-122-12-1-1-1-12-1-12-1-1222-12-1-1-1-12-1-12-1-12-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1222-1-12-1-12-1-1-1-12-1-12-1-12-12-1-12-1-12-100000-2-21-21111-211-211-2-21-21111-211-211-2-2-21-21111-211-211-211-2-211111111-2-21111-2-21111-2-2-211-211-21111-211-211-21-211-211-2100000
χ13522-12-1-1-1-12-1-12-1-122-12-1-1-1-12-1-12-1-1222-12-1-1-1-12-1-12-1-12-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122-211-211-21111-211-211-21-211-211-2100000-2-21-21111-211-211-2-21-21111-211-211-2-2-21-21111-211-211-211-2-211111111-2-21111-2-21111-2-22-1-12-1-12-1-1-1-12-1-12-1-12-12-1-12-1-12-100000
χ13622-12-1-1-1-12-1-12-1-122-12-1-1-1-12-1-12-1-12-2-2-12-1-1-1-12-1-12-1-1211-2-211111111-2-21111-2-21111-2-20−i3i30−i3i30−i3i3−i3i30−i3i30−i3i30i30−i3i30−i3i30−i300000-2-21-21111-211-211-2-21-21111-211-211-2221-21111-211-211-2-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1220i3−i30i3−i30i3−i3i3−i30i3−i30i3−i30−i30i3−i30i3−i30i300000
χ13722-12-1-1-1-12-1-12-1-122-12-1-1-1-12-1-12-1-12-2-2-12-1-1-1-12-1-12-1-1211-2-211111111-2-21111-2-21111-2-20i3−i30i3−i30i3−i3i3−i30i3−i30i3−i30−i30i3−i30i3−i30i300000-2-21-21111-211-211-2-21-21111-211-211-2221-21111-211-211-2-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1220−i3i30−i3i30−i3i3−i3i30−i3i30−i3i30i30−i3i30−i3i30−i300000
χ13822-1-12-12-1-1-12-1-1-122-1-12-12-1-1-12-1-1-1222-1-12-12-1-1-12-1-1-12-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1222-1-1-12-1-1-122-1-1-12-1-1-122-1-1-12-1-1-1200000-2-211-21-2111-2111-2-211-21-2111-2111-2-2-211-21-2111-2111-21111-2-211-2-2111111-2-2111111-2-2-2111-2111-2-2111-2111-2-2111-2111-200000
χ13922-1-12-12-1-1-12-1-1-122-1-12-12-1-1-12-1-1-1222-1-12-12-1-1-12-1-1-12-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-122-2111-2111-2-2111-2111-2-2111-2111-200000-2-211-21-2111-2111-2-211-21-2111-2111-2-2-211-21-2111-2111-21111-2-211-2-2111111-2-2111111-2-22-1-1-12-1-1-122-1-1-12-1-1-122-1-1-12-1-1-1200000
χ14022-1-12-12-1-1-12-1-1-122-1-12-12-1-1-12-1-1-12-2-2-1-12-12-1-1-12-1-1-121111-2-211-2-2111111-2-2111111-2-20−i3i3i30−i3−i3i300−i3i3i30−i3−i3i300−i3i3i30−i3−i3i3000000-2-211-21-2111-2111-2-211-21-2111-2111-22211-21-2111-2111-2-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1220i3−i3−i30i3i3−i300i3−i3−i30i3i3−i300i3−i3−i30i3i3−i3000000
χ14122-1-12-12-1-1-12-1-1-122-1-12-12-1-1-12-1-1-12-2-2-1-12-12-1-1-12-1-1-121111-2-211-2-2111111-2-2111111-2-20i3−i3−i30i3i3−i300i3−i3−i30i3i3−i300i3−i3−i30i3i3−i3000000-2-211-21-2111-2111-2-211-21-2111-2111-22211-21-2111-2111-2-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1220−i3i3i30−i3−i3i300−i3i3i30−i3−i3i300−i3i3i30−i3−i3i3000000
χ14222-1-12-1-12-1-1-122-1-12-1-12-1-12-1-1-122-1-122-1-12-1-12-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-12222-1-1-1-12-1-1-12-1-1-12-12-1-1-122-1-1-1-122-1-1-12-100000-2-211-211-2111-2-211-211-211-2111-2-211-2-211-211-2111-2-2111111-2-21111-2-2111111-2-2-2-21111-2111-2111-21-2111-2-21111-2-2111-2100000
χ14322-1-12-1-12-1-1-122-1-12-1-12-1-12-1-1-122-1-122-1-12-1-12-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-2111-2111-21-2111-2-21111-2-2111-2100000-2-211-211-2111-2-211-211-211-2111-2-211-2-211-211-2111-2-2111111-2-21111-2-2111111-2-2-2-211112-1-1-12-1-1-12-12-1-1-122-1-1-1-122-1-1-12-100000
χ14422-1-12-1-12-1-1-122-1-12-1-12-1-12-1-1-122-1-1-2-2-1-12-1-12-1-1-122-1-11111-2-21111-2-2111111-2-2-2-211110−i3i3i30−i3−i3i30i30−i3−i3i300−i3i3−i3i300−i3i3i30−i300000-2-211-211-2111-2-211-211-211-2111-2-2112211-211-2111-2-211-1-1-1-122-1-1-1-122-1-1-1-1-1-12222-1-1-1-10i3−i3−i30i3i3−i30−i30i3i3−i300i3−i3i3−i300i3−i3−i30i300000
χ14522-1-12-1-12-1-1-122-1-12-1-12-1-12-1-1-122-1-1-2-2-1-12-1-12-1-1-122-1-11111-2-21111-2-2111111-2-2-2-211110i3−i3−i30i3i3−i30−i30i3i3−i300i3−i3i3−i300i3−i3−i30i300000-2-211-211-2111-2-211-211-211-2111-2-2112211-211-2111-2-211-1-1-1-122-1-1-1-122-1-1-1-1-1-12222-1-1-1-10−i3i3i30−i3−i3i30i30−i3−i3i300−i3i3−i3i300−i3i3i30−i300000
χ14622-1-12-1-1-122-1-1-12-12-1-12-1-1-122-1-1-12-122-1-12-1-1-122-1-1-12-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-12-1-1-12-1-1-12-1-122-1-1-12-1-12-1-1-122-1-100000-2-211-2111-2-2111-21-211-2111-2-2111-21-2-211-2111-2-2111-211111-2-2111111-2-2-2-2111111-2-211-2111-2111-211-2-2111-211-2111-2-21100000
χ14722-1-12-1-1-122-1-1-12-12-1-12-1-1-122-1-1-12-122-1-12-1-1-122-1-1-12-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-2111-2111-211-2-2111-211-2111-2-21100000-2-211-2111-2-2111-21-211-2111-2-2111-21-2-211-2111-2-2111-211111-2-2111111-2-2-2-2111111-2-2112-1-1-12-1-1-12-1-122-1-1-12-1-12-1-1-122-1-100000
χ14822-1-12-1-1-122-1-1-12-12-1-12-1-1-122-1-1-12-1-2-2-1-12-1-1-122-1-1-12-11111-2-2111111-2-2-2-2111111-2-2110−i3i3i30−i3−i3i30−i3i300−i3i3i30−i3i30−i3−i3i300−i3i300000-2-211-2111-2-2111-21-211-2111-2-2111-212211-2111-2-2111-21-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-10i3−i3−i30i3i3−i30i3−i300i3−i3−i30i3−i30i3i3−i300i3−i300000
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χ2014-4-2-2-24-24-24-2-2-2-240222-42-42-42222-422−220000000000000−22−22−2222−22−2222−22−2222−22−22−22−22−2222−2200000000000000000000000000000000-44222-42-42-42222-40-2-2-24-24-24-2-2-2-24−222200000000000002−22−22−2−22222−2−22222−2−22222−22−22−22−2−222200000000000000000000000000000000
χ2024-4-2-2-24-24-24-2-2-2-240222-42-42-42222-4−222200000000000002−22−22−2−22222−2−22222−2−22222−22−22−22−2−222200000000000000000000000000000000-44222-42-42-42222-40-2-2-24-24-24-2-2-2-2422−220000000000000−22−22−2222−22−2222−22−2222−22−22−22−22−2222−2200000000000000000000000000000000
χ2034-4-2-2-24-2-24-24-24-2-20222-422-42-42-42222−220000000000000−22−22−2222−22−22−2222−22−2222−22−2222−22−22−2200000000000000000000000000000000-44222-422-42-42-4220-2-2-24-2-24-24-24-2-2−222200000000000002−22−22−2−22222−22−2−22222−2−22222−2−22222−22−200000000000000000000000000000000
χ2044-4-2-2-24-2-24-24-24-2-20222-422-42-42-422−222200000000000002−22−22−2−22222−22−2−22222−2−22222−2−22222−22−200000000000000000000000000000000-44222-422-42-42-4220-2-2-24-2-24-24-24-2-222−220000000000000−22−22−2222−22−22−2222−22−2222−22−2222−22−22−2200000000000000000000000000000000

Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.