Finite Group Databasebeta

← Group #14327843

Character table — Group #14327843

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186
size11111111222222222222222222222222222244444444444444444444444444444444444444446666888888888888888888888888888888881010101010101010101010101010101010101010121212121212121212121212121212121212121212122020202020202020202020202020242424242424242430303030606060606060
order122222223444455666666610101010101010101010101010104444121212121212121212121212151520202020202020203030303030303030303030303030444420202020202020206060606060606060606060606060606060606060606060604444444444441212121212121212444444202020202020202020202020202020204412121212121212121212121220202020202020204444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ5111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1
χ9111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1
χ10111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111
χ11111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111
χ12111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-111111111-1-111-1-1
χ13111111111-1-1-1-111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111
χ14111111111-1-1-1-111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ15111111111-1-1-1-111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ16111111111-1-1-1-111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ171-11-1-111-1111-1-1111-11-1-1-111111-1-1-1-1-1-1-1-111i−ii−i11-1-1ii−i−iii−i−i111111-1-1-1-11111-1-1-1-1-1-111-1-1ii−i−iii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−i11-1-111-1-1iiii−i−i−i−i1-11-1i−iiiii−i−i−i−iiiii−i−i−i−ii−iii−i−i11-1-111-1-111-1-111-1-111-1-11-1i−ii−i
χ181-11-1-111-1111-1-1111-11-1-1-111111-1-1-1-1-1-1-1-111i−ii−i11-1-1ii−i−iii−i−i111111-1-1-1-11111-1-1-1-1-1-111-1-1ii−i−iii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−iii-1-111-1-111−i−i−i−iiiii1-11-1i−iiiii−i−i−i−iiiii−i−i−i−i−ii−i−iii-1-111-1-11111-1-111-1-1-1-111-11−ii−ii
χ191-11-1-111-1111-1-1111-11-1-1-111111-1-1-1-1-1-1-1-111i−ii−i11-1-1ii−i−iii−i−i111111-1-1-1-11111-1-1-1-1-1-111-1-1−i−iiiii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−i11-1-111-1-1iiii−i−i−i−i-11-11−ii−i−i−i−iiiii−i−i−i−iiiiii−iii−i−i11-1-111-1-1-1-111-1-111-1-111-11−ii−ii
χ201-11-1-111-1111-1-1111-11-1-1-111111-1-1-1-1-1-1-1-111i−ii−i11-1-1ii−i−iii−i−i111111-1-1-1-11111-1-1-1-1-1-111-1-1−i−iiiii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−iii-1-111-1-111−i−i−i−iiiii-11-11−ii−i−i−i−iiiii−i−i−i−iiiii−ii−i−iii-1-111-1-111-1-111-1-11111-1-11-1i−ii−i
χ211-11-1-111-1111-1-1111-11-1-1-111111-1-1-1-1-1-1-1-111−ii−ii11-1-1−i−iii−i−iii111111-1-1-1-11111-1-1-1-1-1-111-1-1ii−i−i−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiii−i−i-1-111-1-111iiii−i−i−i−i-11-11i−iiiii−i−i−i−iiiii−i−i−i−ii−iii−i−i-1-111-1-111-1-111-1-11111-1-11-1−ii−ii
χ221-11-1-111-1111-1-1111-11-1-1-111111-1-1-1-1-1-1-1-111−ii−ii11-1-1−i−iii−i−iii111111-1-1-1-11111-1-1-1-1-1-111-1-1ii−i−i−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii11-1-111-1-1−i−i−i−iiiii-11-11i−iiiii−i−i−i−iiiii−i−i−i−i−ii−i−iii11-1-111-1-1-1-111-1-111-1-111-11i−ii−i
χ231-11-1-111-1111-1-1111-11-1-1-111111-1-1-1-1-1-1-1-111−ii−ii11-1-1−i−iii−i−iii111111-1-1-1-11111-1-1-1-1-1-111-1-1−i−iii−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiii−i−i-1-111-1-111iiii−i−i−i−i1-11-1−ii−i−i−i−iiiii−i−i−i−iiiiii−iii−i−i-1-111-1-11111-1-111-1-1-1-111-11i−ii−i
χ241-11-1-111-1111-1-1111-11-1-1-111111-1-1-1-1-1-1-1-111−ii−ii11-1-1−i−iii−i−iii111111-1-1-1-11111-1-1-1-1-1-111-1-1−i−iii−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii11-1-111-1-1−i−i−i−iiiii1-11-1−ii−i−i−i−iiiii−i−i−i−iiiii−ii−i−iii11-1-111-1-111-1-111-1-111-1-11-1−ii−ii
χ251-11-1-111-11-1-111111-11-1-1-111111-1-1-1-1-1-1-1-111i−i−ii-1-111ii−i−i−i−iii11-1-1-1-111111111-1-1-1-1-1-111-1-1ii−i−iii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i11-1-1-1-111iiii−i−i−i−i1-1-11−iiiiii−i−i−i−i−i−i−i−iiiii−ii−i−iii11-1-1-1-11111-1-1-1-11111-1-1-11i−i−ii
χ261-11-1-111-11-1-111111-11-1-1-111111-1-1-1-1-1-1-1-111i−i−ii-1-111ii−i−i−i−iii11-1-1-1-111111111-1-1-1-1-1-111-1-1ii−i−iii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−iii-1-11111-1-1−i−i−i−iiiii1-1-11−iiiiii−i−i−i−i−i−i−i−iiiiii−iii−i−i-1-11111-1-111-1-1-1-111-1-1111-1−iii−i
χ271-11-1-111-11-1-111111-11-1-1-111111-1-1-1-1-1-1-1-111i−i−ii-1-111ii−i−i−i−iii11-1-1-1-111111111-1-1-1-1-1-111-1-1−i−iiiii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i11-1-1-1-111iiii−i−i−i−i-111-1i−i−i−i−i−iiiiiiiii−i−i−i−i−ii−i−iii11-1-1-1-111-1-11111-1-1-1-1111-1−iii−i
χ281-11-1-111-11-1-111111-11-1-1-111111-1-1-1-1-1-1-1-111i−i−ii-1-111ii−i−i−i−iii11-1-1-1-111111111-1-1-1-1-1-111-1-1−i−iiiii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−iii-1-11111-1-1−i−i−i−iiiii-111-1i−i−i−i−i−iiiiiiiii−i−i−i−ii−iii−i−i-1-11111-1-1-1-11111-1-111-1-1-11i−i−ii
χ291-11-1-111-11-1-111111-11-1-1-111111-1-1-1-1-1-1-1-111−iii−i-1-111−i−iiiii−i−i11-1-1-1-111111111-1-1-1-1-1-111-1-1ii−i−i−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iii−i−i-1-11111-1-1iiii−i−i−i−i-111-1−iiiiii−i−i−i−i−i−i−i−iiiii−ii−i−iii-1-11111-1-1-1-11111-1-111-1-1-11−iii−i
χ301-11-1-111-11-1-111111-11-1-1-111111-1-1-1-1-1-1-1-111−iii−i-1-111−i−iiiii−i−i11-1-1-1-111111111-1-1-1-1-1-111-1-1ii−i−i−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iii11-1-1-1-111−i−i−i−iiiii-111-1−iiiiii−i−i−i−i−i−i−i−iiiiii−iii−i−i11-1-1-1-111-1-11111-1-1-1-1111-1i−i−ii
χ311-11-1-111-11-1-111111-11-1-1-111111-1-1-1-1-1-1-1-111−iii−i-1-111−i−iiiii−i−i11-1-1-1-111111111-1-1-1-1-1-111-1-1−i−iii−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iii−i−i-1-11111-1-1iiii−i−i−i−i1-1-11i−i−i−i−i−iiiiiiiii−i−i−i−i−ii−i−iii-1-11111-1-111-1-1-1-111-1-1111-1i−i−ii
χ321-11-1-111-11-1-111111-11-1-1-111111-1-1-1-1-1-1-1-111−iii−i-1-111−i−iiiii−i−i11-1-1-1-111111111-1-1-1-1-1-111-1-1−i−iii−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iii11-1-1-1-111−i−i−i−iiiii1-1-11i−i−i−i−i−iiiiiiiii−i−i−i−ii−iii−i−i11-1-1-1-11111-1-1-1-11111-1-1-11−iii−i
χ332222222222222−1−52−1+522222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222222222222222−1−52−1+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+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000222222−1−52−1−52−1+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+5200000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000
χ342222222222222−1−52−1+522222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222222222222222−1−52−1+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+52-2-2-2-2−1−52−1+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+5200000000000000000000-2-2-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52000000000000001+521−521+521−521+521−521+521−520000000000
χ352222222222222−1−52−1+522222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-22222-2-2-2-2-2-2-2-2−1−52−1+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+5222221+521−521+521−521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000000000000000-2-2-2-222−1−52−1−52−1+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+52000000000000001+521−521+521−521+521−521+521−520000000000
χ362222222222222−1−52−1+522222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-22222-2-2-2-2-2-2-2-2−1−52−1+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+52-2-2-2-21+521−521+521−521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52000000000000000000002222-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000
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χ1594-44-4-444-4-244-4-4−1−5−1+5-22-2222-2−1−5−1−5−1+5−1+51+51−51+51−51+51+51−51−5−1−5−1+5−4i4i−4i4i-2-2222i2i−2i−2i2i2i−2i−2i1+521−52−1−5−1−5−1+5−1+51+51+51−51−51+521+521−521−52−1−52−1−52−1−52−1+52−1+52−1+521+521−52−1−52−1+5200002ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ471+521+521−521−52−1−52−1−52−1+52−1+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+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+ζ4700000000000000000000000000000000000000000000000000000000000000000000000000
χ1604-44-4-444-4-244-4-4−1+5−1−5-22-2222-2−1+5−1+5−1−5−1−51−51+51−51+51−51−51+51+5−1+5−1−54i−4i4i−4i-2-222−2i−2i2i2i−2i−2i2i2i1−521+52−1+5−1+5−1−5−1−51−51−51+51+51−521−521+521+52−1+52−1+52−1+52−1−52−1−52−1−521−521+52−1+52−1−520000−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ591−521−521+521+52−1+52−1+52−1−52−1−52ζ7+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−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−ζ5900000000000000000000000000000000000000000000000000000000000000000000000000
χ1614-44-4-444-4-244-4-4−1+5−1−5-22-2222-2−1+5−1+5−1−5−1−51−51+51−51+51−51−51+51+5−1+5−1−5−4i4i−4i4i-2-2222i2i−2i−2i2i2i−2i−2i1−521+52−1+5−1+5−1−5−1−51−51−51+51+51−521−521+521+52−1+52−1+52−1+52−1−52−1−52−1−521−521+52−1+52−1−5200002ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ591−521−521+521+52−1+52−1+52−1−52−1−52−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+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+ζ5900000000000000000000000000000000000000000000000000000000000000000000000000
χ1624-44-4-444-4-2-4-444−1−5−1+5-22-2222-2−1−5−1−5−1+5−1+51+51−51+51−51+51+51−51−5−1−5−1+54i−4i−4i4i22-2-2−2i−2i2i2i2i2i−2i−2i1+521−521+51+51−51−5−1−5−1−5−1+5−1+51+521+521−521−52−1−52−1−52−1−52−1+52−1+52−1+521+521−52−1−52−1+520000−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−1−52−1−52−1+52−1+521+521+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+ζ4700000000000000000000000000000000000000000000000000000000000000000000000000
χ1634-44-4-444-4-2-4-444−1−5−1+5-22-2222-2−1−5−1−5−1+5−1+51+51−51+51−51+51+51−51−5−1−5−1+5−4i4i4i−4i22-2-22i2i−2i−2i−2i−2i2i2i1+521−521+51+51−51−5−1−5−1−5−1+5−1+51+521+521−521−52−1−52−1−52−1−52−1+52−1+52−1+521+521−52−1−52−1+5200002ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ47−1−52−1−52−1+52−1+521+521+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−ζ4700000000000000000000000000000000000000000000000000000000000000000000000000
χ1644-44-4-444-4-2-4-444−1+5−1−5-22-2222-2−1+5−1+5−1−5−1−51−51+51−51+51−51−51+51+5−1+5−1−54i−4i−4i4i22-2-2−2i−2i2i2i2i2i−2i−2i1−521+521−51−51+51+5−1+5−1+5−1−5−1−51−521−521+521+52−1+52−1+52−1+52−1−52−1−52−1−521−521+52−1+52−1−520000−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−1+52−1+52−1−52−1−521−521−521+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+ζ5900000000000000000000000000000000000000000000000000000000000000000000000000
χ1654-44-4-444-4-2-4-444−1+5−1−5-22-2222-2−1+5−1+5−1−5−1−51−51+51−51+51−51−51+51+5−1+5−1−5−4i4i4i−4i22-2-22i2i−2i−2i−2i−2i2i2i1−521+521−51−51+51+5−1+5−1+5−1−5−1−51−521−521+521+52−1+52−1+52−1+52−1−52−1−52−1−521−521+52−1+52−1−5200002ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ59−1+52−1+52−1−52−1−521−521−521+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−ζ5900000000000000000000000000000000000000000000000000000000000000000000000000
χ1664-4-44-4-4444000044-4-4-444-44-44-44-4-4444-44-4-4-400000000000000004400000000-44-44-44-4-44-4-4-44400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1674-4-44-4-44440000−1−5−1+5-4-4-444-441+5−1−51−5−1+51+51−5−1−5−1+5−1−51+5−1+51−51+51−50000000000000000−1−5−1+5000000001+5−1−51−5−1+51+5−1−51+51−5−1+51−51+51−5−1−5−1+50000000000000000000000000000000000000000000000000000000000000000000000−2ζ11+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+2ζ43−2ζ4700000000000000000000000000000000
χ1684-4-44-4-44440000−1−5−1+5-4-4-444-441+5−1−51−5−1+51+51−5−1−5−1+5−1−51+5−1+51−51+51−50000000000000000−1−5−1+5000000001+5−1−51−5−1+51+5−1−51+51−5−1+51−51+51−5−1−5−1+500000000000000000000000000000000000000000000000000000000000000000000002ζ11−2ζ19+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+2ζ4700000000000000000000000000000000
χ1694-4-44-4-44440000−1+5−1−5-4-4-444-441−5−1+51+5−1−51−51+5−1+5−1−5−1+51−5−1−51+51−51+50000000000000000−1+5−1−5000000001−5−1+51+5−1−51−5−1+51−51+5−1−51+51−51+5−1+5−1−500000000000000000000000000000000000000000000000000000000000000000000002ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ5900000000000000000000000000000000
χ1704-4-44-4-44440000−1+5−1−5-4-4-444-441−5−1+51+5−1−51−51+5−1+5−1−5−1+51−5−1−51+51−51+50000000000000000−1+5−1−5000000001−5−1+51+5−1−51−5−1+51−51+5−1−51+51−51+5−1+5−1−50000000000000000000000000000000000000000000000000000000000000000000000−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ5900000000000000000000000000000000
χ1714-4-44-4-444-2000044222-2-22-2-44-44-4-4444-44-4-4-40000000000000000-2-2000000002-22-22-222-2222-2-2000000000000000000000000000000000000000000000000−2i32i32i3−2i32i3−2i3−2i32i3000000000000000000000000000000000000000000000000000000
χ1724-4-44-4-444-2000044222-2-22-2-44-44-4-4444-44-4-4-40000000000000000-2-2000000002-22-22-222-2222-2-20000000000000000000000000000000000000000000000002i3−2i3−2i32i3−2i32i32i3−2i3000000000000000000000000000000000000000000000000000000
χ1734-4-4-444-4440000−1−5−1+54-4-44-44-4−1−51+5−1+51−51+51−5−1−5−1+51+5−1−51−5−1+51+51−50000000000000000−1−5−1+500000000−1−51+5−1+51−51+51+5−1−51−51−5−1+51+51−5−1−5−1+54i−4i−4i4i0000000000000000000000000000000000000000000000000000000000−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ470000000000000000000000000000000000000000
χ1744-4-4-444-4440000−1−5−1+54-4-44-44-4−1−51+5−1+51−51+51−5−1−5−1+51+5−1−51−5−1+51+51−50000000000000000−1−5−1+500000000−1−51+5−1+51−51+51+5−1−51−51−5−1+51+51−5−1−5−1+5−4i4i4i−4i00000000000000000000000000000000000000000000000000000000002ζ11+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+2ζ470000000000000000000000000000000000000000
χ1754-4-4-444-4440000−1+5−1−54-4-44-44-4−1+51−5−1−51+51−51+5−1+5−1−51−5−1+51+5−1−51−51+50000000000000000−1+5−1−500000000−1+51−5−1−51+51−51−5−1+51+51+5−1−51−51+5−1+5−1−54i−4i−4i4i0000000000000000000000000000000000000000000000000000000000−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ590000000000000000000000000000000000000000
χ1764-4-4-444-4440000−1+5−1−54-4-44-44-4−1+51−5−1−51+51−51+5−1+5−1−51−5−1+51+5−1−51−51+50000000000000000−1+5−1−500000000−1+51−5−1−51+51−51−5−1+51+51+5−1−51−51+5−1+5−1−5−4i4i4i−4i00000000000000000000000000000000000000000000000000000000002ζ7+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+2ζ590000000000000000000000000000000000000000
χ1774-4-4-444-44-2000044-222-22-224-44-4-4-444-44-44-4-40000000000000000-2-200000000-22-2222-222-222-2-20000000000000000000000000000000000004i−4i−4i4i00000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000000000000000000000000000
χ1784-4-4-444-44-2000044-222-22-224-44-4-4-444-44-44-4-40000000000000000-2-200000000-22-2222-222-222-2-2000000000000000000000000000000000000−4i4i4i−4i000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000000000000000000000000000000000
χ17988-88-88-8-8-40000−2−25−2+25-4-444-444−2−252+25−2+252−25−2−25−2+252+252−25−2−252+25−2+252−252+252−2500000000000000001+51−5000000001+5−1−51−5−1+51+51+5−1−51−51−5−1+5−1−5−1+5−1−5−1+500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ18088-88-88-8-8-40000−2+25−2−25-4-444-444−2+252−25−2−252+25−2+25−2−252−252+25−2+252−25−2−252+252−252+2500000000000000001−51+5000000001−5−1+51+5−1−51−51−5−1+51+51+5−1−5−1+5−1−5−1+5−1−500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ18188-8-88-88-8-40000−2−25−2+254-4444-4-42+25−2−252−25−2+25−2−25−2+252+252−252+25−2−252−25−2+252+252−2500000000000000001+51−500000000−1−51+5−1+51−51+5−1−51+51−5−1+51−5−1−5−1+5−1−5−1+500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ18288-8-88-88-8-40000−2+25−2−254-4444-4-42−25−2+252+25−2−25−2+25−2−252−252+252−25−2+252+25−2−252−252+2500000000000000001−51+500000000−1+51−5−1−51+51−5−1+51−51+5−1−51+5−1+5−1−5−1+5−1−500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1838-8-88-8-888-40000−2−25−2+25444-4-44-42+25−2−252−25−2+252+252−25−2−25−2+25−2−252+25−2+252−252+252−2500000000000000001+51−500000000−1−51+5−1+51−5−1−51+5−1−5−1+51−5−1+5−1−5−1+51+51−500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1848-8-88-8-888-40000−2+25−2−25444-4-44-42−25−2+252+25−2−252−252+25−2+25−2−25−2+252−25−2−252+252−252+2500000000000000001−51+500000000−1+51−5−1−51+5−1+51−5−1+5−1−51+5−1−5−1+5−1−51−51+500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1858-8-8-888-88-40000−2−25−2+25-444-44-44−2−252+25−2+252−252+252−25−2−25−2+252+25−2−252−25−2+252+252−2500000000000000001+51−5000000001+5−1−51−5−1+5−1−5−1−51+5−1+5−1+51−5−1−5−1+51+51−500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1868-8-8-888-88-40000−2+25−2−25-444-44-44−2+252−25−2−252+252−252+25−2+25−2−252−25−2+252+25−2−252−252+2500000000000000001−51+5000000001−5−1+51+5−1−5−1+5−1+51−5−1−5−1−51+5−1+5−1−51−51+500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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