Finite Group Databasebeta

← Group #12004883

Character table — Group #12004883

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188
size1111111111111111222222222222222222222222222222222222222244444444444444444444444444444444444444444444444444444444444444448888888888888888888888888888888888881010101010101010202020202020202020202020202020202020202040404040
order1222222244444444222244445510101010101010101010101010102020202020202020202020202020202022224444444444441010101010101010202020202020202020202020202020202020202020202020202020202020202020202020202020208888101010101010101020202020202020204040404040404040404040404040404088888888888888888888888888884444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ511111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ611111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ711111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ911111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-111111111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iii−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i−i−i1111-1-1-1-111-1-1
χ1011111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-111111111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iii−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−iii−i−i−i−iiiii-1-1-1-11111-1-111
χ1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−iii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−iii−i−iiiii−i−i−i−i-1-1-1-11111-1-111
χ1211111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−iii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii−i−iii−i−i−i−iiiii1111-1-1-1-111-1-1
χ1311111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i-1-1-1-1-1-1-1-111111111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iii-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−iii−i−i−i−i−i−iiiii1111-1-1-1-1-1-111
χ1411111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i-1-1-1-1-1-1-1-111111111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iii-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii−i−iiiiiii−i−i−i−i-1-1-1-1111111-1-1
χ1511111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiii−i−i-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iii−i−i−i−i−i−iiiii-1-1-1-1111111-1-1
χ1611111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiii−i−i-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−iiiiiii−i−i−i−i1111-1-1-1-1-1-111
χ17111-1-11-1-111-1-111-1-11-1-1111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−ii−ii−iii−i−iii−i−iii−i−iii−i−ii−ii−i
χ18111-1-11-1-111-1-111-1-11-1-1111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii−ii−ii−i−iii−i−iii−i−iii−i−iii−ii−ii
χ19111-1-11-1-111-1-111-1-11-1-1111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-11-111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111ii−i−iii−i−ii−ii−iii−i−iii−i−i−i−iii−i−iii−ii−ii
χ20111-1-11-1-111-1-111-1-11-1-1111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-11-111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111−i−iii−i−iii−ii−ii−i−iii−i−iiiii−i−iii−i−ii−ii−i
χ21111-1-11-1-111-1-111-1-11-1-1111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-111-1-111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111ii−i−iii−i−ii−ii−i−i−iii−i−iiiii−i−iii−i−i−ii−ii
χ22111-1-11-1-111-1-111-1-11-1-1111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-111-1-111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111−i−iii−i−iii−ii−iiii−i−iii−i−i−i−iii−i−iiii−ii−i
χ23111-1-11-1-111-1-111-1-11-1-1111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-11-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1ii−i−iii−i−ii−ii−i−i−iii−i−iii−i−iii−i−iiii−ii−i
χ24111-1-11-1-111-1-111-1-11-1-1111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-11-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1−i−iii−i−iii−ii−iiii−i−iii−i−iii−i−iii−i−i−ii−ii
χ25111-1-11-1-1-1-111-1-111-111-111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-111ii−i−i−i−iii-1-11111-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiii−i−ii1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-1111-1-1111-1-1-1-111−i−iiiii−i−i−iii−i
χ26111-1-11-1-1-1-111-1-111-111-111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-111ii−i−i−i−iii-1-11111-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiii−i−ii1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1-111-1-1-11111-1-1ii−i−i−i−iiii−i−ii
χ27111-1-11-1-1-1-111-1-111-111-111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-111−i−iiiii−i−i-1-11111-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−iii−i1111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-1111-1-1111-1-1-1-111ii−i−i−i−iiii−i−ii
χ28111-1-11-1-1-1-111-1-111-111-111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-111−i−iiiii−i−i-1-11111-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−iii−i1111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1-111-1-1-11111-1-1−i−iiiii−i−i−iii−i
χ29111-1-11-1-1-1-111-1-111-111-111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1ii−i−i−i−iii-1-11111-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−iii−i-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-1111-1-11-1-11111-1-1−i−iiiii−i−ii−i−ii
χ30111-1-11-1-1-1-111-1-111-111-111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1ii−i−i−i−iii-1-11111-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−iii−i-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1-111-111-1-1-1-111ii−i−i−i−iii−iii−i
χ31111-1-11-1-1-1-111-1-111-111-111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1−i−iiiii−i−i-1-11111-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−ii−i−ii-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-1111-1-11-1-11111-1-1ii−i−i−i−iii−iii−i
χ32111-1-11-1-1-1-111-1-111-111-111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1−i−iiiii−i−i-1-11111-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−ii−i−ii-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1-111-111-1-1-1-111−i−iiiii−i−ii−i−ii
χ33222222222222222222222222−1+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+52−1−52−1−522222222222222222−1+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+52−1−52−1−52−1−52−1−52−1+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+52−1−52−1−5200000000000000000000000000000000
χ34222222222222222222222222−1+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+52−1−52−1−5222222222-2-2-2-2-2-2-2-2−1+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+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+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+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200000000000000000000000000000000
χ35222222222222222222222222−1+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+52−1−52−1−52-2-2-2-2-2-2-2-222222222−1+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+52−1−52−1−52−1−52−1−52−1+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+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200000000000000000000000000000000
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χ1724-44-44-44-44i−4i−4i4i−4i4i4i−4i00000000−1+5−1−51−5−1+51+5−1−51−5−1+5−1+51−51+5−1−5−1−51+51−51+5−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ142ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ1400000000000000000000000000000000ζ12−ζ22−ζ28+ζ38−ζ12+ζ22+ζ28−ζ38−ζ12+ζ22+ζ28−ζ38ζ12−ζ22−ζ28+ζ38ζ4+ζ6−ζ14−ζ36−ζ4−ζ6+ζ14+ζ36−ζ4−ζ6+ζ14+ζ36ζ4+ζ6−ζ14−ζ36−ζ12+ζ22+ζ28−ζ38ζ12−ζ22−ζ28+ζ38ζ12−ζ22−ζ28+ζ38−ζ12+ζ22+ζ28−ζ38−ζ4−ζ6+ζ14+ζ36ζ4+ζ6−ζ14−ζ36ζ4+ζ6−ζ14−ζ36−ζ4−ζ6+ζ14+ζ36−ζ12−ζ22+ζ28+ζ38ζ12+ζ22−ζ28−ζ38ζ12+ζ22−ζ28−ζ38−ζ12−ζ22+ζ28+ζ38−ζ4+ζ6−ζ14+ζ36ζ4−ζ6+ζ14−ζ36ζ4−ζ6+ζ14−ζ36−ζ4+ζ6−ζ14+ζ36ζ12+ζ22−ζ28−ζ38−ζ12−ζ22+ζ28+ζ38−ζ12−ζ22+ζ28+ζ38ζ12+ζ22−ζ28−ζ38ζ4−ζ6+ζ14−ζ36−ζ4+ζ6−ζ14+ζ36−ζ4+ζ6−ζ14+ζ36ζ4−ζ6+ζ14−ζ3600000000000000000000000000000000000000000000000000000000000000000000
χ1734-44-44-44-44i−4i−4i4i−4i4i4i−4i00000000−1+5−1−51−5−1+51+5−1−51−5−1+5−1+51−51+5−1−5−1−51+51−51+5−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ142ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ1400000000000000000000000000000000−ζ12+ζ22+ζ28−ζ38ζ12−ζ22−ζ28+ζ38ζ12−ζ22−ζ28+ζ38−ζ12+ζ22+ζ28−ζ38−ζ4−ζ6+ζ14+ζ36ζ4+ζ6−ζ14−ζ36ζ4+ζ6−ζ14−ζ36−ζ4−ζ6+ζ14+ζ36ζ12−ζ22−ζ28+ζ38−ζ12+ζ22+ζ28−ζ38−ζ12+ζ22+ζ28−ζ38ζ12−ζ22−ζ28+ζ38ζ4+ζ6−ζ14−ζ36−ζ4−ζ6+ζ14+ζ36−ζ4−ζ6+ζ14+ζ36ζ4+ζ6−ζ14−ζ36ζ12+ζ22−ζ28−ζ38−ζ12−ζ22+ζ28+ζ38−ζ12−ζ22+ζ28+ζ38ζ12+ζ22−ζ28−ζ38ζ4−ζ6+ζ14−ζ36−ζ4+ζ6−ζ14+ζ36−ζ4+ζ6−ζ14+ζ36ζ4−ζ6+ζ14−ζ36−ζ12−ζ22+ζ28+ζ38ζ12+ζ22−ζ28−ζ38ζ12+ζ22−ζ28−ζ38−ζ12−ζ22+ζ28+ζ38−ζ4+ζ6−ζ14+ζ36ζ4−ζ6+ζ14−ζ36ζ4−ζ6+ζ14−ζ36−ζ4+ζ6−ζ14+ζ3600000000000000000000000000000000000000000000000000000000000000000000
χ1744-44-44-44-44i−4i−4i4i−4i4i4i−4i00000000−1−5−1+51+5−1−51−5−1+51+5−1−5−1−51+51−5−1+5−1+51−51+51−5−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ382ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ3800000000000000000000000000000000−ζ4−ζ6+ζ14+ζ36ζ4+ζ6−ζ14−ζ36ζ4+ζ6−ζ14−ζ36−ζ4−ζ6+ζ14+ζ36ζ12−ζ22−ζ28+ζ38−ζ12+ζ22+ζ28−ζ38−ζ12+ζ22+ζ28−ζ38ζ12−ζ22−ζ28+ζ38ζ4+ζ6−ζ14−ζ36−ζ4−ζ6+ζ14+ζ36−ζ4−ζ6+ζ14+ζ36ζ4+ζ6−ζ14−ζ36−ζ12+ζ22+ζ28−ζ38ζ12−ζ22−ζ28+ζ38ζ12−ζ22−ζ28+ζ38−ζ12+ζ22+ζ28−ζ38ζ4−ζ6+ζ14−ζ36−ζ4+ζ6−ζ14+ζ36−ζ4+ζ6−ζ14+ζ36ζ4−ζ6+ζ14−ζ36−ζ12−ζ22+ζ28+ζ38ζ12+ζ22−ζ28−ζ38ζ12+ζ22−ζ28−ζ38−ζ12−ζ22+ζ28+ζ38−ζ4+ζ6−ζ14+ζ36ζ4−ζ6+ζ14−ζ36ζ4−ζ6+ζ14−ζ36−ζ4+ζ6−ζ14+ζ36ζ12+ζ22−ζ28−ζ38−ζ12−ζ22+ζ28+ζ38−ζ12−ζ22+ζ28+ζ38ζ12+ζ22−ζ28−ζ3800000000000000000000000000000000000000000000000000000000000000000000
χ1754-44-44-44-44i−4i−4i4i−4i4i4i−4i00000000−1−5−1+51+5−1−51−5−1+51+5−1−5−1−51+51−5−1+5−1+51−51+51−5−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ382ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ3800000000000000000000000000000000ζ4+ζ6−ζ14−ζ36−ζ4−ζ6+ζ14+ζ36−ζ4−ζ6+ζ14+ζ36ζ4+ζ6−ζ14−ζ36−ζ12+ζ22+ζ28−ζ38ζ12−ζ22−ζ28+ζ38ζ12−ζ22−ζ28+ζ38−ζ12+ζ22+ζ28−ζ38−ζ4−ζ6+ζ14+ζ36ζ4+ζ6−ζ14−ζ36ζ4+ζ6−ζ14−ζ36−ζ4−ζ6+ζ14+ζ36ζ12−ζ22−ζ28+ζ38−ζ12+ζ22+ζ28−ζ38−ζ12+ζ22+ζ28−ζ38ζ12−ζ22−ζ28+ζ38−ζ4+ζ6−ζ14+ζ36ζ4−ζ6+ζ14−ζ36ζ4−ζ6+ζ14−ζ36−ζ4+ζ6−ζ14+ζ36ζ12+ζ22−ζ28−ζ38−ζ12−ζ22+ζ28+ζ38−ζ12−ζ22+ζ28+ζ38ζ12+ζ22−ζ28−ζ38ζ4−ζ6+ζ14−ζ36−ζ4+ζ6−ζ14+ζ36−ζ4+ζ6−ζ14+ζ36ζ4−ζ6+ζ14−ζ36−ζ12−ζ22+ζ28+ζ38ζ12+ζ22−ζ28−ζ38ζ12+ζ22−ζ28−ζ38−ζ12−ζ22+ζ28+ζ3800000000000000000000000000000000000000000000000000000000000000000000
χ1764-44-44-44-4−4i4i4i−4i4i−4i−4i4i0000000044-44-44-444-4-444-4-4-4−4i4i−4i4i4i−4i−4i4i4i−4i−4i4i4i−4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1774-44-44-44-4−4i4i4i−4i4i−4i−4i4i00000000−1+5−1−51−5−1+51+5−1−51−5−1+5−1+51−51+5−1−5−1−51+51−51+52ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ1400000000000000000000000000000000−ζ12−ζ22+ζ28+ζ38ζ12+ζ22−ζ28−ζ38ζ12+ζ22−ζ28−ζ38−ζ12−ζ22+ζ28+ζ38−ζ4+ζ6−ζ14+ζ36ζ4−ζ6+ζ14−ζ36ζ4−ζ6+ζ14−ζ36−ζ4+ζ6−ζ14+ζ36ζ12+ζ22−ζ28−ζ38−ζ12−ζ22+ζ28+ζ38−ζ12−ζ22+ζ28+ζ38ζ12+ζ22−ζ28−ζ38ζ4−ζ6+ζ14−ζ36−ζ4+ζ6−ζ14+ζ36−ζ4+ζ6−ζ14+ζ36ζ4−ζ6+ζ14−ζ36ζ12−ζ22−ζ28+ζ38−ζ12+ζ22+ζ28−ζ38−ζ12+ζ22+ζ28−ζ38ζ12−ζ22−ζ28+ζ38ζ4+ζ6−ζ14−ζ36−ζ4−ζ6+ζ14+ζ36−ζ4−ζ6+ζ14+ζ36ζ4+ζ6−ζ14−ζ36−ζ12+ζ22+ζ28−ζ38ζ12−ζ22−ζ28+ζ38ζ12−ζ22−ζ28+ζ38−ζ12+ζ22+ζ28−ζ38−ζ4−ζ6+ζ14+ζ36ζ4+ζ6−ζ14−ζ36ζ4+ζ6−ζ14−ζ36−ζ4−ζ6+ζ14+ζ3600000000000000000000000000000000000000000000000000000000000000000000
χ1784-44-44-44-4−4i4i4i−4i4i−4i−4i4i00000000−1+5−1−51−5−1+51+5−1−51−5−1+5−1+51−51+5−1−5−1−51+51−51+52ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ1400000000000000000000000000000000ζ12+ζ22−ζ28−ζ38−ζ12−ζ22+ζ28+ζ38−ζ12−ζ22+ζ28+ζ38ζ12+ζ22−ζ28−ζ38ζ4−ζ6+ζ14−ζ36−ζ4+ζ6−ζ14+ζ36−ζ4+ζ6−ζ14+ζ36ζ4−ζ6+ζ14−ζ36−ζ12−ζ22+ζ28+ζ38ζ12+ζ22−ζ28−ζ38ζ12+ζ22−ζ28−ζ38−ζ12−ζ22+ζ28+ζ38−ζ4+ζ6−ζ14+ζ36ζ4−ζ6+ζ14−ζ36ζ4−ζ6+ζ14−ζ36−ζ4+ζ6−ζ14+ζ36−ζ12+ζ22+ζ28−ζ38ζ12−ζ22−ζ28+ζ38ζ12−ζ22−ζ28+ζ38−ζ12+ζ22+ζ28−ζ38−ζ4−ζ6+ζ14+ζ36ζ4+ζ6−ζ14−ζ36ζ4+ζ6−ζ14−ζ36−ζ4−ζ6+ζ14+ζ36ζ12−ζ22−ζ28+ζ38−ζ12+ζ22+ζ28−ζ38−ζ12+ζ22+ζ28−ζ38ζ12−ζ22−ζ28+ζ38ζ4+ζ6−ζ14−ζ36−ζ4−ζ6+ζ14+ζ36−ζ4−ζ6+ζ14+ζ36ζ4+ζ6−ζ14−ζ3600000000000000000000000000000000000000000000000000000000000000000000
χ1794-44-44-44-4−4i4i4i−4i4i−4i−4i4i00000000−1−5−1+51+5−1−51−5−1+51+5−1−5−1−51+51−5−1+5−1+51−51+51−52ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ3800000000000000000000000000000000−ζ4+ζ6−ζ14+ζ36ζ4−ζ6+ζ14−ζ36ζ4−ζ6+ζ14−ζ36−ζ4+ζ6−ζ14+ζ36ζ12+ζ22−ζ28−ζ38−ζ12−ζ22+ζ28+ζ38−ζ12−ζ22+ζ28+ζ38ζ12+ζ22−ζ28−ζ38ζ4−ζ6+ζ14−ζ36−ζ4+ζ6−ζ14+ζ36−ζ4+ζ6−ζ14+ζ36ζ4−ζ6+ζ14−ζ36−ζ12−ζ22+ζ28+ζ38ζ12+ζ22−ζ28−ζ38ζ12+ζ22−ζ28−ζ38−ζ12−ζ22+ζ28+ζ38ζ4+ζ6−ζ14−ζ36−ζ4−ζ6+ζ14+ζ36−ζ4−ζ6+ζ14+ζ36ζ4+ζ6−ζ14−ζ36−ζ12+ζ22+ζ28−ζ38ζ12−ζ22−ζ28+ζ38ζ12−ζ22−ζ28+ζ38−ζ12+ζ22+ζ28−ζ38−ζ4−ζ6+ζ14+ζ36ζ4+ζ6−ζ14−ζ36ζ4+ζ6−ζ14−ζ36−ζ4−ζ6+ζ14+ζ36ζ12−ζ22−ζ28+ζ38−ζ12+ζ22+ζ28−ζ38−ζ12+ζ22+ζ28−ζ38ζ12−ζ22−ζ28+ζ3800000000000000000000000000000000000000000000000000000000000000000000
χ1804-44-44-44-4−4i4i4i−4i4i−4i−4i4i00000000−1−5−1+51+5−1−51−5−1+51+5−1−5−1−51+51−5−1+5−1+51−51+51−52ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ3800000000000000000000000000000000ζ4−ζ6+ζ14−ζ36−ζ4+ζ6−ζ14+ζ36−ζ4+ζ6−ζ14+ζ36ζ4−ζ6+ζ14−ζ36−ζ12−ζ22+ζ28+ζ38ζ12+ζ22−ζ28−ζ38ζ12+ζ22−ζ28−ζ38−ζ12−ζ22+ζ28+ζ38−ζ4+ζ6−ζ14+ζ36ζ4−ζ6+ζ14−ζ36ζ4−ζ6+ζ14−ζ36−ζ4+ζ6−ζ14+ζ36ζ12+ζ22−ζ28−ζ38−ζ12−ζ22+ζ28+ζ38−ζ12−ζ22+ζ28+ζ38ζ12+ζ22−ζ28−ζ38−ζ4−ζ6+ζ14+ζ36ζ4+ζ6−ζ14−ζ36ζ4+ζ6−ζ14−ζ36−ζ4−ζ6+ζ14+ζ36ζ12−ζ22−ζ28+ζ38−ζ12+ζ22+ζ28−ζ38−ζ12+ζ22+ζ28−ζ38ζ12−ζ22−ζ28+ζ38ζ4+ζ6−ζ14−ζ36−ζ4−ζ6+ζ14+ζ36−ζ4−ζ6+ζ14+ζ36ζ4+ζ6−ζ14−ζ36−ζ12+ζ22+ζ28−ζ38ζ12−ζ22−ζ28+ζ38ζ12−ζ22−ζ28+ζ38−ζ12+ζ22+ζ28−ζ3800000000000000000000000000000000000000000000000000000000000000000000
χ1814-4-4444-4-44444-4-4-4-4-4-444-44-44−1+5−1−51−51−51+51+5−1+51−5−1+51−5−1−51+5−1−51+5−1+5−1−5−1+5−1+5−1−5−1−5−1+51−5−1+51−5−1−51+5−1−51+51−51−51+51+500000000000000001−51+51−5−1+51+5−1−5−1+5−1−51−5−1+51+5−1−51−5−1+51+5−1−50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1824-4-4444-4-44444-4-4-4-4-4-444-44-44−1−5−1+51+51+51−51−5−1−51+5−1−51+5−1+51−5−1+51−5−1−5−1+5−1−5−1−5−1+5−1+5−1−51+5−1−51+5−1+51−5−1+51−51+51+51−51−500000000000000001+51−51+5−1−51−5−1+5−1−5−1+51+5−1−51−5−1+51+5−1−51−5−1+50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1834-4-4444-4-4-4-4-4-4444444-4-4-44-44−1+5−1−51−51−51+51+5−1+51−5−1+51−5−1−51+5−1−51+5−1+5−1−51−51−51+51+51−5−1+51−5−1+51+5−1−51+5−1−5−1+5−1+5−1−5−1−50000000000000000−1+5−1−5−1+51−5−1−51+51−51+51−5−1+51+5−1−51−5−1+51+5−1−50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1844-4-4444-4-4-4-4-4-4444444-4-4-44-44−1−5−1+51+51+51−51−5−1−51+5−1−51+5−1+51−5−1+51−5−1−5−1+51+51+51−51−51+5−1−51+5−1−51−5−1+51−5−1+5−1−5−1−5−1+5−1+50000000000000000−1−5−1+5−1−51+5−1+51−51+51−51+5−1−51−5−1+51+5−1−51−5−1+50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1854-4-4-4-444444-4-4-4-444-44-44-444-4−1+5−1−51−51−51+51+51−5−1+51−5−1+51+5−1−51+5−1−5−1+5−1−5−1+5−1+5−1−5−1−51−5−1+51−5−1+51+5−1−51+5−1−51−51−51+51+500000000000000001−51+5−1+51−5−1−51+5−1+5−1−51−5−1+51+5−1−5−1+51−5−1−51+50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1864-4-4-4-444444-4-4-4-444-44-44-444-4−1−5−1+51+51+51−51−51+5−1−51+5−1−51−5−1+51−5−1+5−1−5−1+5−1−5−1−5−1+5−1+51+5−1−51+5−1−51−5−1+51−5−1+51+51+51−51−500000000000000001+51−5−1−51+5−1+51−5−1−5−1+51+5−1−51−5−1+5−1−51+5−1+51−50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1874-4-4-4-4444-4-44444-4-44-44-4-444-4−1+5−1−51−51−51+51+51−5−1+51−5−1+51+5−1−51+5−1−5−1+5−1−51−51−51+51+5−1+51−5−1+51−5−1−51+5−1−51+5−1+5−1+5−1−5−1−50000000000000000−1+5−1−51−5−1+51+5−1−51−51+51−5−1+51+5−1−5−1+51−5−1−51+50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1884-4-4-4-4444-4-44444-4-44-44-4-444-4−1−5−1+51+51+51−51−51+5−1−51+5−1−51−5−1+51−5−1+5−1−5−1+51+51+51−51−5−1−51+5−1−51+5−1+51−5−1+51−5−1−5−1−5−1+5−1+50000000000000000−1−5−1+51+5−1−51−5−1+51+51−51+5−1−51−5−1+5−1−51+5−1+51−50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.