Finite Group Databasebeta

← Group #72231116

Character table — Group #72231116

Order 4800.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216C217C218C219C220C221C222C223C224C225C226C227C228C229C230C231C232C233C234C235C236C237C238C239C240C241C242C243C244C245C246C247C248C249C250C251C252C253C254C255C256C257C258C259C260C261C262C263C264C265C266C267C268C269C270C271C272C273C274C275C276C277C278C279C280C281C282C283C284C285C286C287C288C289C290C291C292C293C294C295C296C297C298C299C300C301C302C303C304C305C306C307C308C309C310C311C312C313C314C315C316C317C318C319C320C321C322C323C324C325C326C327C328C329C330
size1111222222222222222222222222222222222222222222222222222222444444444444444444444444444444444444444444444444444444444444444444444444444466668888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888812121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212122424242424242424242424242424242424242424242424245050505075757575100100100100100100150150200200300300
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χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111
χ51111111111111111111111111111111111111111111111111111111111-1-1111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1
χ61111111111111111111111111111111111111111111111111111111111-1-1111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ71111111111111111111111111111111111111111111111111111111111-1-111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-11111-1-1-1-111
χ81111111111111111111111111111111111111111111111111111111111-1-111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1111111-1-1-1-11111-1-1
χ911111-1-11111111111111111111111111111111111111111111111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-11-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-111-1-1-1-11-11-1
χ1011111-1-11111111111111111111111111111111111111111111111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-11-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1-11111-11-11
χ1111111-1-11111111111111111111111111111111111111111111111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-11-111-1-1111-1-11
χ1211111-1-11111111111111111111111111111111111111111111111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1111111-11-1-111-1-1-111-1
χ1311111-1-1111111111111111111111111111111111111111111111111111-11-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-11111-1111-1-1-1-1-11-11
χ1411111-1-1111111111111111111111111111111111111111111111111111-11-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-11-1-1-111111-11-1
χ1511111-1-1111111111111111111111111111111111111111111111111111-11-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-111-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111-1-111-111-1
χ1611111-1-1111111111111111111111111111111111111111111111111111-11-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-111-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-111-1-11-1-11
χ17222222222−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−5222222−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−522222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52222222−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−522222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−522222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5222−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−5222222222−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−5222−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−522222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−522222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−522222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52222222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−522222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5222−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−5222−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−5200000000000000000000
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χ2944-4-44-2-44−1+5−1−5−1−5−1+5−1−54−1+5−1+5−1−54−1−5−1+5-222−1+5−1−5−1−5−1+5−1−54−1+5−1+5−1−54−1−5−1+51−51−51+51+51+51+51−51−51+51+5-4-41−51−51−51−51+51+5-4-41+51+51−51−5002-21−521+521+521−521+52-21−521−521+52-21+521−521−5−1+51+5−1−51+5−1−51−5−1+51+5−1−5-441−5−1+51−5−1+51+5−1−5-441+5−1−51−5−1+5−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1+52−1+52−1−52−1−5222−1−52−1−52−1+52−1+521−521+521+521−521+52-21−521−521+52-21+521−52000000000000000000000000000000−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ1400−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ1400ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ1400ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ1400−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13−1+521−52−1−521+52−1−521+52−1+521−52−1−521+522-2−1+521−52−1+521−52−1−521+522-2−1−521+52−1+521−520000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2954-4-44-2-44−1+5−1−5−1−5−1−5−1+5−1+54−1+54−1−5−1+5−1−5-222−1+5−1−5−1−5−1−5−1+5−1+54−1+54−1−5−1+5−1−51−51−51+51+51+51+51+51+51−51−51−51−5-4-41−51−5-4-41+51+51−51−51+51+5002-21−521+521+521+521−521−52-21−52-21+521−521+521−5−1+51+5−1−51+5−1−51+5−1−51−5−1+51−5−1+5-441−5−1+5-441+5−1−51−5−1+51+5−1−5−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−521−521+521+521+521−521−52-21−52-21+521−521+52000000000000000000000000000000ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ1300−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ1300−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ1300ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ1300ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14−1+521−52−1−521+52−1−521+52−1−521+52−1+521−52−1+521−522-2−1+521−522-2−1−521+52−1+521−52−1−521+520000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2964-4-44-2-44−1+5−1−5−1−5−1−5−1+5−1+54−1+54−1−5−1+5−1−5-222−1+5−1−5−1−5−1−5−1+5−1+54−1+54−1−5−1+5−1−51−51−51+51+51+51+51+51+51−51−51−51−5-4-41−51−5-4-41+51+51−51−51+51+5002-21−521+521+521+521−521−52-21−52-21+521−521+521−5−1+51+5−1−51+5−1−51+5−1−51−5−1+51−5−1+5-441−5−1+5-441+5−1−51−5−1+51+5−1−5−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−521−521+521+521+521−521−52-21−52-21+521−521+52000000000000000000000000000000−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ1300ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ1300ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ1300−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ1300−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14−1+521−52−1−521+52−1−521+52−1−521+52−1+521−52−1+521−522-2−1+521−522-2−1−521+52−1+521−52−1−521+520000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ2984-4-44-2-44−1−5−1+54−1−5−1−5−1+5−1+54−1−5−1−5−1+5−1+5-222−1−5−1+54−1−5−1−5−1+5−1+54−1−5−1−5−1+5−1+51+51+51−51−5-4-41+51+51+51+51−51−51−51−5-4-41+51+51+51+51−51−51−51−5002-21+521−52-21+521+521−521−52-21+521+521−521−521+5−1−51−5−1+5-441+5−1−51+5−1−51−5−1+51−5−1+5-441+5−1−51+5−1−51−5−1+51−5−1+5−1−52−1−52−1+52−1+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521−52-21+521+521−521−52-21+521+521−521−52000000000000000000000000000000−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ1300−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ1300−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ1300ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ1300ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13−1−521+52−1+521−522-2−1−521+52−1−521+52−1+521−52−1+521−522-2−1−521+52−1−521+52−1+521−52−1+521−520000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ3198-88-8-40088−2+25−2+25−2+25−2+25−2+25−2−25−2−25−2−25−2−25−2−2544-4-8-82−252−252−252−252−252+252+252+252+252+25-88-882−25−2+252−25−2+252−25−2+252−25−2+252−25−2+252+25−2−252+25−2−252+25−2−252+25−2−252+25−2−250000-4-41−51−51−51−51−51+51+51+51+51+50000000000000000000000004-44-4−1+51−5−1+51−5−1+51−5−1+51−5−1+51−5−1−51+5−1−51+5−1−51+5−1−51+5−1−51+544−1+5−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−5−1−50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ3208-88-8-40088−2−25−2−25−2−25−2−25−2−25−2+25−2+25−2+25−2+25−2+2544-4-8-82+252+252+252+252+252−252−252−252−252−25-88-882+25−2−252+25−2−252+25−2−252+25−2−252+25−2−252−25−2+252−25−2+252−25−2+252−25−2+252−25−2+250000-4-41+51+51+51+51+51−51−51−51−51−50000000000000000000000004-44-4−1−51+5−1−51+5−1−51+5−1−51+5−1−51+5−1+51−5−1+51−5−1+51−5−1+51−5−1+51−544−1−5−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+5−1+50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ3248-88-8-400−2+25−2−25−2−25−2+25−2−258−2+25−2+25−2−258−2−25−2+2544-42−252+252+252−252+25-82−252−252+25-82+252−252−25−2+252+25−2−252+25−2−252−25−2+252+25−2−25-882−25−2+252−25−2+252+25−2−25-882+25−2−252−25−2+2500001−51+51+51−51+5-41−51−51+5-41+51−5000000000000000000000000−1+51−5−1−51+5−1−51+5−1+51−5−1−51+54-4−1+51−5−1+51−5−1−51+54-4−1−51+5−1+51−5−1+5−1−5−1−5−1+5−1−54−1+5−1+5−1−54−1−5−1+50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ3268-88-8-400−2−25−2+258−2−25−2−25−2+25−2+258−2−25−2−25−2+25−2+2544-42+252−25-82+252+252−252−25-82+252+252−252−252+25−2−252−25−2+25-882+25−2−252+25−2−252−25−2+252−25−2+25-882+25−2−252+25−2−252−25−2+252−25−2+2500001+51−5-41+51+51−51−5-41+51+51−51−5000000000000000000000000−1−51+5−1+51−54-4−1−51+5−1−51+5−1+51−5−1+51−54-4−1−51+5−1−51+5−1+51−5−1+51−5−1−5−1+54−1−5−1−5−1+5−1+54−1−5−1−5−1+5−1+50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ3278-88-8-400−2−25−2+25−2+25−2+25−2−25−2−258−2−258−2+25−2−25−2+2544-42+252−252−252−252+252+25-82+25-82−252+252−252+25−2−252−25−2+252−25−2+252−25−2+252+25−2−252+25−2−25-882+25−2−25-882−25−2+252+25−2−252−25−2+2500001+51−51−51−51+51+5-41+5-41−51+51−5000000000000000000000000−1−51+5−1+51−5−1+51−5−1+51−5−1−51+5−1−51+54-4−1−51+54-4−1+51−5−1−51+5−1+51−5−1−5−1+5−1+5−1+5−1−5−1−54−1−54−1+5−1−5−1+50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ3288-88-8-400−2−25−2+25−2+25−2−25−2+258−2−25−2−25−2+258−2+25−2−2544-42+252−252−252+252−25-82+252+252−25-82−252+252+25−2−252−25−2+252−25−2+252+25−2−252−25−2+25-882+25−2−252+25−2−252−25−2+25-882−25−2+252+25−2−2500001+51−51−51+51−5-41+51+51−5-41−51+5000000000000000000000000−1−51+5−1+51−5−1+51−5−1−51+5−1+51−54-4−1−51+5−1−51+5−1+51−54-4−1+51−5−1−51+5−1−5−1+5−1+5−1−5−1+54−1−5−1−5−1+54−1+5−1−50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ3298-88-8-400−2−25−2+25−2−258−2+25−2−25−2+25−2+25−2−25−2+258−2−2544-42+252−252+25-82−252+252−252−252+252−25-82+252+25−2−252−25−2+252+25−2−25-882−25−2+252+25−2−252−25−2+252−25−2+252+25−2−252−25−2+25-882+25−2−2500001+51−51+5-41−51+51−51−51+51−5-41+5000000000000000000000000−1−51+5−1+51−5−1−51+54-4−1+51−5−1−51+5−1+51−5−1+51−5−1−51+5−1+51−54-4−1−51+5−1−5−1+5−1−54−1+5−1−5−1+5−1+5−1−5−1+54−1−50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ3308-88-8-400−2−25−2+25−2−25−2+258−2+25−2−25−2+25−2+25−2−25−2−25844-42+252−252+252−25-82−252+252−252−252+252+25-82+25−2−252−25−2+252+25−2−252−25−2+25-882−25−2+252+25−2−252−25−2+252−25−2+252+25−2−252+25−2−25-8800001+51−51+51−5-41−51+51−51−51+51+5-4000000000000000000000000−1−51+5−1+51−5−1−51+5−1+51−54-4−1+51−5−1−51+5−1+51−5−1+51−5−1−51+5−1−51+54-4−1−5−1+5−1−5−1+54−1+5−1−5−1+5−1+5−1−5−1−540000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 15 (ζ15 = 1).