Finite Group Databasebeta

← Group #14295604

Character table — Group #14295604

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192
size11111111222222222222222222222222222244444444444444444444444444444444444444445555555566666666888888888888888888888888888888881010101010101010101010101212121212121212121212121212121212121212202020202020202020202020202020202424242424242424303030303030303060606060
order122244442234455666101010101010121212122020202020202020668888101010101212151520202020242424242424242430303030303060606060606060604444444444444444303030304040404040404040606060601201201201201201201201201201201201201201201201204444121212121212121244442020202020202020202020202020202088881212121224242424242424242020202020202020444444442244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ511111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ611111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ711111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-1
χ91111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i-1-1-1-111111111iiii−i−i−i−i111111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−i-1-1-1-1iiii−i−i−i−i1111iiiiiiii−i−i−i−i−i−i−i−i11-1-11111-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−iii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i11-1-1
χ101111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i-1-1-1-111111111iiii−i−i−i−i111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii-1-1-1-1iiii−i−i−i−i1111iiiiiiii−i−i−i−i−i−i−i−i11-1-11111-1-1-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiiiii−i−i11-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii-1-111
χ111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i-1-1-1-111111111iiii−i−i−i−i111111-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i-1-1-1-1iiii−i−i−i−i1111iiiiiiii−i−i−i−i−i−i−i−i-1-111-1-1-1-1111111-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−iii-1-111−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii-1-111
χ121111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i-1-1-1-111111111iiii−i−i−i−i111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii-1-1-1-1iiii−i−i−i−i1111iiiiiiii−i−i−i−i−i−i−i−i-1-111-1-1-1-11111-1-111−i−i−i−i−i−i−i−iiiiiiiii−i−iii-1-111−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i11-1-1
χ131111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii-1-1-1-111111111−i−i−i−iiiii111111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−i-1-1-1-1−i−i−i−iiiii1111−i−i−i−i−i−i−i−iiiiiiiii11-1-11111-1-1-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i−i−iii11-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i-1-111
χ141111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii-1-1-1-111111111−i−i−i−iiiii111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii-1-1-1-1−i−i−i−iiiii1111−i−i−i−i−i−i−i−iiiiiiiii11-1-11111-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii11-1-1
χ151111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii-1-1-1-111111111−i−i−i−iiiii111111-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i-1-1-1-1−i−i−i−iiiii1111−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-1-1-11111-1-111iiiiiiii−i−i−i−i−i−i−i−iii−i−i-1-111iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii11-1-1
χ161111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii-1-1-1-111111111−i−i−i−iiiii111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii-1-1-1-1−i−i−i−iiiii1111−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-1-1-1111111-1-1−i−i−i−i−i−i−i−iiiiiiiiiii−i−i-1-111iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i-1-111
χ171-1-1111-1-1-1111-1111-1-111-1-1-1-111-1-1-1-1-1-111111-11-11-111-1-11-11111-1-111-1-111-1-1-1-1-1-111-1-1-1-11111ii−i−iii−i−iii−i−iii−i−i11-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1i−ii−iii−i−iii−i−ii−ii−iiiii−i−i−i−iiiii−i−i−i−ii−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i11-1-111-1-11-11-1
χ181-1-1111-1-1-1111-1111-1-111-1-1-1-111-1-1-1-1-1-111111-11-11-111-1-11-11111-1-111-1-111-1-1-1-1-1-111-1-1-1-11111ii−i−iii−i−i−i−iii−i−iii11-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1i−ii−iii−i−iii−i−i−ii−ii−i−i−i−iiiii−i−i−i−iiiiii−ii−ii−ii−iii−i−iii−i−i−i−iii−i−iii-1-111-1-111-11-11
χ191-1-1111-1-1-1111-1111-1-111-1-1-1-111-1-1-1-1-1-111111-11-11-111-1-11-11111-1-111-1-111-1-1-1-1-1-111-1-1-1-11111−i−iii−i−iiiii−i−iii−i−i11-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1−ii−ii−i−iii−i−iiii−ii−iiiii−i−i−i−iiiii−i−i−i−i−ii−ii−ii−ii−i−iii−i−iiiii−i−iii−i−i-1-111-1-111-11-11
χ201-1-1111-1-1-1111-1111-1-111-1-1-1-111-1-1-1-1-1-111111-11-11-111-1-11-11111-1-111-1-111-1-1-1-1-1-111-1-1-1-11111−i−iii−i−iii−i−iii−i−iii11-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1−ii−ii−i−iii−i−iii−ii−ii−i−i−i−iiiii−i−i−i−iiiii−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii11-1-111-1-11-11-1
χ211-1-1111-1-1-1111-1111-1-111-1-1-1-111-1-1-1-1-1-111111-1-11-1111-1-11-11111-1-1-1-111-1-111-1-1-1-111-1-1-1-11111ii−i−iii−i−iii−i−iii−i−i11-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111i−ii−iii−i−iii−i−i−ii−iiiiii−i−i−i−iiiii−i−i−i−i−ii−iii−ii−i−i−iii−i−iii−i−iii−i−iii11-1-111-1-1-11-11
χ221-1-1111-1-1-1111-1111-1-111-1-1-1-111-1-1-1-1-1-111111-1-11-1111-1-11-11111-1-1-1-111-1-111-1-1-1-111-1-1-1-11111ii−i−iii−i−i−i−iii−i−iii11-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111i−ii−iii−i−iii−i−ii−ii−i−i−i−i−iiiii−i−i−i−iiiii−ii−iii−ii−i−i−iii−i−iiiii−i−iii−i−i-1-111-1-1111-11-1
χ231-1-1111-1-1-1111-1111-1-111-1-1-1-111-1-1-1-1-1-111111-1-11-1111-1-11-11111-1-1-1-111-1-111-1-1-1-111-1-1-1-11111−i−iii−i−iiiii−i−iii−i−i11-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111−ii−ii−i−iii−i−iii−ii−iiiiii−i−i−i−iiiii−i−i−i−ii−ii−i−ii−iiii−i−iii−i−i−i−iii−i−iii-1-111-1-1111-11-1
χ241-1-1111-1-1-1111-1111-1-111-1-1-1-111-1-1-1-1-1-111111-1-11-1111-1-11-11111-1-1-1-111-1-111-1-1-1-111-1-1-1-11111−i−iii−i−iii−i−iii−i−iii11-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111−ii−ii−i−iii−i−iiii−ii−i−i−i−i−iiiii−i−i−i−iiiiii−ii−i−ii−iiii−i−iii−i−iii−i−iii−i−i11-1-111-1-1-11-11
χ251-1-11-1-1111-111-1111-1-111-1-1-1-1-1-1111111-1-1-1-1-11i−i−ii-1-1111-11111-1-1ii−i−i−i−iii-1-1-1-1111111-1-1-1-1ii−i−i−i−iii11-1-1-1-111-1-111ii−i−i−i−iii11-1-1iiii−i−i−i−i−i−i−i−iiiiii−i−iiii−i−i−i−iii−iii−i1111-1-1-1-1-1-1-1-11111-111-1i−i−ii-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−i-111-1
χ261-1-11-1-1111-111-1111-1-111-1-1-1-1-1-1111111-1-1-1-1-11i−i−ii-1-1111-11111-1-1ii−i−i−i−iii-1-1-1-1111111-1-1-1-1ii−i−i−i−iii-1-11111-1-1-1-111ii−i−i−i−iii11-1-1iiii−i−i−i−i−i−i−i−iiiiii−i−iiii−i−i−i−iiii−i−ii-1-1-1-111111111-1-1-1-1-111-1i−i−ii-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iii1-1-11
χ271-1-11-1-1111-111-1111-1-111-1-1-1-1-1-1111111-1-1-1-1-11i−i−ii-1-1111-11111-1-1ii−i−i−i−iii-1-1-1-1111111-1-1-1-1−i−iiiii−i−i11-1-1-1-111-1-111ii−i−i−i−iii11-1-1iiii−i−i−i−i−i−i−i−iiiii−iii−i−i−iiiii−i−i−iii−i1111-1-1-1-1-1-1-1-111111-1-11−iii−i11-1-1-1-111−i−iiiii−i−iii−i−i−i−iii1-1-11
χ281-1-11-1-1111-111-1111-1-111-1-1-1-1-1-1111111-1-1-1-1-11i−i−ii-1-1111-11111-1-1ii−i−i−i−iii-1-1-1-1111111-1-1-1-1−i−iiiii−i−i-1-11111-1-1-1-111ii−i−i−i−iii11-1-1iiii−i−i−i−i−i−i−i−iiiii−iii−i−i−iiiii−i−ii−i−ii-1-1-1-111111111-1-1-1-11-1-11−iii−i11-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i-111-1
χ291-1-11-1-1111-111-1111-1-111-1-1-1-1-1-1111111-1-1-1-1-11−iii−i-1-1111-11111-1-1−i−iiiii−i−i-1-1-1-1111111-1-1-1-1ii−i−i−i−iii11-1-1-1-111-1-111−i−iiiii−i−i11-1-1−i−i−i−iiiiiiiii−i−i−i−ii−i−iiii−i−i−i−iiii−i−ii1111-1-1-1-1-1-1-1-111111-1-11i−i−ii11-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i1-1-11
χ301-1-11-1-1111-111-1111-1-111-1-1-1-1-1-1111111-1-1-1-1-11−iii−i-1-1111-11111-1-1−i−iiiii−i−i-1-1-1-1111111-1-1-1-1ii−i−i−i−iii-1-11111-1-1-1-111−i−iiiii−i−i11-1-1−i−i−i−iiiiiiiii−i−i−i−ii−i−iiii−i−i−i−iii−iii−i-1-1-1-111111111-1-1-1-11-1-11i−i−ii11-1-1-1-111−i−iiiii−i−iii−i−i−i−iii-111-1
χ311-1-11-1-1111-111-1111-1-111-1-1-1-1-1-1111111-1-1-1-1-11−iii−i-1-1111-11111-1-1−i−iiiii−i−i-1-1-1-1111111-1-1-1-1−i−iiiii−i−i11-1-1-1-111-1-111−i−iiiii−i−i11-1-1−i−i−i−iiiiiiiii−i−i−i−i−iii−i−i−iiiii−i−ii−i−ii1111-1-1-1-1-1-1-1-11111-111-1−iii−i-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iii-111-1
χ321-1-11-1-1111-111-1111-1-111-1-1-1-1-1-1111111-1-1-1-1-11−iii−i-1-1111-11111-1-1−i−iiiii−i−i-1-1-1-1111111-1-1-1-1−i−iiiii−i−i-1-11111-1-1-1-111−i−iiiii−i−i11-1-1−i−i−i−iiiiiiiii−i−i−i−i−iii−i−i−iiiii−i−i−iii−i-1-1-1-111111111-1-1-1-1-111-1−iii−i-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−i1-1-11
χ332222222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222222−1−52−1+52−1−52−1+5222−1−52−1+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+52−1−52−1−52−1+52−1+520000000022222222−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000002222−1−52−1−52−1+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+520000000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000
χ342222222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222222−1−52−1+52−1−52−1+5222−1−52−1+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+52−1−52−1−52−1+52−1+5200000000-2-2-2-2-2-2-2-2−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000000000001+521−521+521−521+521−521+521−52000000000000
χ352222222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-2-2-2−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000022222222−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52000000000000-2-2-2-2−1−52−1−52−1+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+5200000000000000001+521−521+521−521+521−521+521−52000000000000
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χ612222-2-2-2-2-2-2222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+52-2-22i2i−2i−2i1−521+521−521+5222−1+52−1−52−1+52−1−52−1+52−1−522i2i2i2i−2i−2i−2i−2i−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52000000002i2i2i2i−2i−2i−2i−2i1−521+521−521+52−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−1+52−1−52−1+52−1−52−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ5900000000000022-2-2−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ590000000000000000−1+52−1−52−1+52−1−521−521+521−521+52000000000000
χ622222-2-2-2-2-2-2222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+52-2-22i2i−2i−2i1−521+521−521+5222−1+52−1−52−1+52−1−52−1+52−1−522i2i2i2i−2i−2i−2i−2i−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+5200000000−2i−2i−2i−2i2i2i2i2i1−521+521−521+52−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−1+52−1−52−1+52−1−52−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59000000000000-2-222ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ5900000000000000001−521+521−521+52−1+52−1−52−1+52−1−52000000000000
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χ1032-2-22-2-2222-222-2−1−52−1+522-2-2−1−52−1+521+521+521−521−52-2-222−1−52−1−52−1+52−1+521+521+521−521−52-222i−2i−2i2i1+521−52−1−52−1+522-2−1−52−1+52−1−52−1+521+521−522i2i−2i−2i−2i−2i2i2i1+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000000022-2-2-2-2221+521−52−1−52−1+52−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−1−52−1+521+521−52−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47000000000000−2i2i2i−2i−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47000000000000
χ1042-2-22-2-2222-222-2−1−52−1+522-2-2−1−52−1+521+521+521−521−52-2-222−1−52−1−52−1+52−1+521+521+521−521−52-222i−2i−2i2i1+521−52−1−52−1+522-2−1−52−1+52−1−52−1+521+521−522i2i−2i−2i−2i−2i2i2i1+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000000-2-22222-2-21+521−52−1−52−1+52−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−1−52−1+521+521−52−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ470000000000002i−2i−2i2i1+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47000000000000
χ1052-2-22-2-2222-222-2−1−52−1+522-2-2−1−52−1+521+521+521−521−52-2-222−1−52−1−52−1+52−1+521+521+521−521−52-22−2i2i2i−2i1+521−52−1−52−1+522-2−1−52−1+52−1−52−1+521+521−52−2i−2i2i2i2i2i−2i−2i1+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000000022-2-2-2-2221+521−52−1−52−1+52ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−1−52−1+521+521−52ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ470000000000002i−2i−2i2i−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47000000000000
χ1062-2-22-2-2222-222-2−1−52−1+522-2-2−1−52−1+521+521+521−521−52-2-222−1−52−1−52−1+52−1+521+521+521−521−52-22−2i2i2i−2i1+521−52−1−52−1+522-2−1−52−1+52−1−52−1+521+521−52−2i−2i2i2i2i2i−2i−2i1+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000000-2-22222-2-21+521−52−1−52−1+52ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−1−52−1+521+521−52ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47000000000000−2i2i2i−2i1+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47000000000000
χ1072-2-22-2-2222-222-2−1+52−1−522-2-2−1+52−1−521−521−521+521+52-2-222−1+52−1+52−1−52−1−521−521−521+521+52-222i−2i−2i2i1−521+52−1+52−1−522-2−1+52−1−52−1+52−1−521−521+522i2i−2i−2i−2i−2i2i2i1−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000000022-2-2-2-2221−521+52−1+52−1−52−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−1+52−1−521−521+52−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59000000000000−2i2i2i−2i−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59000000000000
χ1082-2-22-2-2222-222-2−1+52−1−522-2-2−1+52−1−521−521−521+521+52-2-222−1+52−1+52−1−52−1−521−521−521+521+52-222i−2i−2i2i1−521+52−1+52−1−522-2−1+52−1−52−1+52−1−521−521+522i2i−2i−2i−2i−2i2i2i1−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000000-2-22222-2-21−521+52−1+52−1−52−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−1+52−1−521−521+52−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ590000000000002i−2i−2i2i1−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59000000000000
χ1092-2-22-2-2222-222-2−1+52−1−522-2-2−1+52−1−521−521−521+521+52-2-222−1+52−1+52−1−52−1−521−521−521+521+52-22−2i2i2i−2i1−521+52−1+52−1−522-2−1+52−1−52−1+52−1−521−521+52−2i−2i2i2i2i2i−2i−2i1−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000000022-2-2-2-2221−521+52−1+52−1−52ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−1+52−1−521−521+52ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ590000000000002i−2i−2i2i−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59000000000000
χ1102-2-22-2-2222-222-2−1+52−1−522-2-2−1+52−1−521−521−521+521+52-2-222−1+52−1+52−1−52−1−521−521−521+521+52-22−2i2i2i−2i1−521+52−1+52−1−522-2−1+52−1−52−1+52−1−521−521+52−2i−2i2i2i2i2i−2i−2i1−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000000-2-22222-2-21−521+52−1+52−1−52ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−1+52−1−521−521+52ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59000000000000−2i2i2i−2i1−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59000000000000
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χ1898-88-88i−8i−8i8i00-400−2−25−2+2544-42+252−252+25−2−252−25−2+25−4i4i4i−4i4ζ11+4ζ19+4ζ31+4ζ59−4ζ11−4ζ19−4ζ31−4ζ594ζ7+4ζ23+4ζ43+4ζ47−4ζ7−4ζ23−4ζ43−4ζ47−4ζ11−4ζ19−4ζ31−4ζ594ζ11+4ζ19+4ζ31+4ζ59−4ζ7−4ζ23−4ζ43−4ζ474ζ7+4ζ23+4ζ43+4ζ470000000000001+51−5000000000000−1−51+5−1+51−5−1−5−1+5−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ4700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1908-88-88i−8i−8i8i00-400−2+25−2−2544-42−252+252−25−2+252+25−2−25−4i4i4i−4i4ζ7+4ζ23+4ζ43+4ζ47−4ζ7−4ζ23−4ζ43−4ζ474ζ11+4ζ19+4ζ31+4ζ59−4ζ11−4ζ19−4ζ31−4ζ59−4ζ7−4ζ23−4ζ43−4ζ474ζ7+4ζ23+4ζ43+4ζ47−4ζ11−4ζ19−4ζ31−4ζ594ζ11+4ζ19+4ζ31+4ζ590000000000001−51+5000000000000−1+51−5−1−51+5−1+5−1−5−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ5900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1918-88-8−8i8i8i−8i00-400−2−25−2+2544-42+252−252+25−2−252−25−2+254i−4i−4i4i−4ζ11−4ζ19−4ζ31−4ζ594ζ11+4ζ19+4ζ31+4ζ59−4ζ7−4ζ23−4ζ43−4ζ474ζ7+4ζ23+4ζ43+4ζ474ζ11+4ζ19+4ζ31+4ζ59−4ζ11−4ζ19−4ζ31−4ζ594ζ7+4ζ23+4ζ43+4ζ47−4ζ7−4ζ23−4ζ43−4ζ470000000000001+51−5000000000000−1−51+5−1+51−5−1−5−1+52ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ4700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1928-88-8−8i8i8i−8i00-400−2+25−2−2544-42−252+252−25−2+252+25−2−254i−4i−4i4i−4ζ7−4ζ23−4ζ43−4ζ474ζ7+4ζ23+4ζ43+4ζ47−4ζ11−4ζ19−4ζ31−4ζ594ζ11+4ζ19+4ζ31+4ζ594ζ7+4ζ23+4ζ43+4ζ47−4ζ7−4ζ23−4ζ43−4ζ474ζ11+4ζ19+4ζ31+4ζ59−4ζ11−4ζ19−4ζ31−4ζ590000000000001−51+5000000000000−1+51−5−1−51+5−1+5−1−52ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ5900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.