Finite Group Databasebeta

← Group #14320993

Character table — Group #14320993

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192
size11111111222222222222222222222222222244444444444444444444444444444444444444445555555566666666888888888888888888888888888888881010101010101010101010101212121212121212121212121212121212121212202020202020202020202020202020202424242424242424303030303030303060606060
order122222223444455666666610101010101010101010101010104444121212121212121212121212151520202020202020203030303030303030303030303030444444444444444420202020202020206060606060606060606060606060606060606060606060604444121212121212121244442020202020202020202020202020202044441212121212121212121212122020202020202020444444444444
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
χ5111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ7111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-1
χ9111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ10111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ11111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111
χ12111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1
χ13111111111-1-1-1-111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111
χ14111111111-1-1-1-111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1
χ15111111111-1-1-1-111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1
χ16111111111-1-1-1-111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ171-11-1-111-11ii−i−i111-1-111-1-111-1-1-1-1-1-11111-1-1i−i1-1ii−i−iii−i−i11-1-111iiii−i−i−i−i1111-1-1-1-111-1-1-1-11111-1-1-1-1ii−i−i11-1-111-1-1ii−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−i1111-1-1-1-1i−i1-11111-1-1-1-1iiii−i−i−i−i1-1i−iii−i−iii−i−i11-1-111-1-1ii−i−i11-1-1ii−i−i1-1i−i
χ181-11-1-111-11ii−i−i111-1-111-1-111-1-1-1-1-1-11111-1-1i−i1-1ii−i−iii−i−i11-1-111iiii−i−i−i−i1111-1-1-1-111-1-1-1-11111-1-1-1-1−i−iii-1-11111-1-1ii−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−i1111-1-1-1-1−ii-11-1-1-1-11111−i−i−i−iiiii1-1i−iii−i−iii−i−i11-1-1-1-111−i−iii-1-111−i−iii-11−ii
χ191-11-1-111-11ii−i−i111-1-111-1-111-1-1-1-1-1-11111-1-1i−i1-1ii−i−iii−i−i11-1-111iiii−i−i−i−i1111-1-1-1-111-1-1-1-1-1-1-1-11111ii−i−i11-1-111-1-1ii−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1−i−iii-1-1-1-11111i−i1-11111-1-1-1-1iiii−i−i−i−i-11−ii−i−iii−i−iii-1-11111-1-1ii−i−i-1-111−i−iii-11−ii
χ201-11-1-111-11ii−i−i111-1-111-1-111-1-1-1-1-1-11111-1-1i−i1-1ii−i−iii−i−i11-1-111iiii−i−i−i−i1111-1-1-1-111-1-1-1-1-1-1-1-11111−i−iii-1-11111-1-1ii−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1−i−iii-1-1-1-11111−ii-11-1-1-1-11111−i−i−i−iiiii-11−ii−i−iii−i−iii-1-111-1-111−i−iii11-1-1ii−i−i1-1i−i
χ211-11-1-111-11ii−i−i111-1-111-1-111-1-1-1-1-1-11111-1-1−ii-11ii−i−i−i−iii-1-11111iiii−i−i−i−i1111-1-1-1-111-1-1-1-11111-1-1-1-1ii−i−i11-1-1-1-111−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111ii−i−i1111-1-1-1-1−ii-111111-1-1-1-1iiii−i−i−i−i-11−iiii−i−i−i−iii-1-111-1-111−i−iii11-1-1ii−i−i-11−ii
χ221-11-1-111-11ii−i−i111-1-111-1-111-1-1-1-1-1-11111-1-1−ii-11ii−i−i−i−iii-1-11111iiii−i−i−i−i1111-1-1-1-111-1-1-1-11111-1-1-1-1−i−iii-1-111-1-111−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111ii−i−i1111-1-1-1-1i−i1-1-1-1-1-11111−i−i−i−iiiii-11−iiii−i−i−i−iii-1-11111-1-1ii−i−i-1-111−i−iii1-1i−i
χ231-11-1-111-11ii−i−i111-1-111-1-111-1-1-1-1-1-11111-1-1−ii-11ii−i−i−i−iii-1-11111iiii−i−i−i−i1111-1-1-1-111-1-1-1-1-1-1-1-11111ii−i−i11-1-1-1-111−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111−i−iii-1-1-1-11111−ii-111111-1-1-1-1iiii−i−i−i−i1-1i−i−i−iiiii−i−i11-1-1-1-111−i−iii-1-111−i−iii1-1i−i
χ241-11-1-111-11ii−i−i111-1-111-1-111-1-1-1-1-1-11111-1-1−ii-11ii−i−i−i−iii-1-11111iiii−i−i−i−i1111-1-1-1-111-1-1-1-1-1-1-1-11111−i−iii-1-111-1-111−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111−i−iii-1-1-1-11111i−i1-1-1-1-1-11111−i−i−i−iiiii1-1i−i−i−iiiii−i−i11-1-111-1-1ii−i−i11-1-1ii−i−i-11−ii
χ251-11-1-111-11−i−iii111-1-111-1-111-1-1-1-1-1-11111-1-1i−i-11−i−iiiii−i−i-1-11111−i−i−i−iiiii1111-1-1-1-111-1-1-1-11111-1-1-1-1ii−i−i-1-111-1-111ii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111−i−iii1111-1-1-1-1−ii1-1-1-1-1-11111iiii−i−i−i−i-11i−i−i−iiiii−i−i-1-11111-1-1−i−iii-1-111ii−i−i1-1−ii
χ261-11-1-111-11−i−iii111-1-111-1-111-1-1-1-1-1-11111-1-1i−i-11−i−iiiii−i−i-1-11111−i−i−i−iiiii1111-1-1-1-111-1-1-1-11111-1-1-1-1−i−iii11-1-1-1-111ii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111−i−iii1111-1-1-1-1i−i-111111-1-1-1-1−i−i−i−iiiii-11i−i−i−iiiii−i−i-1-111-1-111ii−i−i11-1-1−i−iii-11i−i
χ271-11-1-111-11−i−iii111-1-111-1-111-1-1-1-1-1-11111-1-1i−i-11−i−iiiii−i−i-1-11111−i−i−i−iiiii1111-1-1-1-111-1-1-1-1-1-1-1-11111ii−i−i-1-111-1-111ii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111ii−i−i-1-1-1-11111−ii1-1-1-1-1-11111iiii−i−i−i−i1-1−iiii−i−i−i−iii11-1-111-1-1−i−iii11-1-1−i−iii-11i−i
χ281-11-1-111-11−i−iii111-1-111-1-111-1-1-1-1-1-11111-1-1i−i-11−i−iiiii−i−i-1-11111−i−i−i−iiiii1111-1-1-1-111-1-1-1-1-1-1-1-11111−i−iii11-1-1-1-111ii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111ii−i−i-1-1-1-11111i−i-111111-1-1-1-1−i−i−i−iiiii1-1−iiii−i−i−i−iii11-1-1-1-111ii−i−i-1-111ii−i−i1-1−ii
χ291-11-1-111-11−i−iii111-1-111-1-111-1-1-1-1-1-11111-1-1−ii1-1−i−iii−i−iii11-1-111−i−i−i−iiiii1111-1-1-1-111-1-1-1-11111-1-1-1-1ii−i−i-1-11111-1-1−i−iii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−iii1111-1-1-1-1i−i-11-1-1-1-11111iiii−i−i−i−i1-1−ii−i−iii−i−iii11-1-1-1-111ii−i−i-1-111ii−i−i-11i−i
χ301-11-1-111-11−i−iii111-1-111-1-111-1-1-1-1-1-11111-1-1−ii1-1−i−iii−i−iii11-1-111−i−i−i−iiiii1111-1-1-1-111-1-1-1-11111-1-1-1-1−i−iii11-1-111-1-1−i−iii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−iii1111-1-1-1-1−ii1-11111-1-1-1-1−i−i−i−iiiii1-1−ii−i−iii−i−iii11-1-111-1-1−i−iii11-1-1−i−iii1-1−ii
χ311-11-1-111-11−i−iii111-1-111-1-111-1-1-1-1-1-11111-1-1−ii1-1−i−iii−i−iii11-1-111−i−i−i−iiiii1111-1-1-1-111-1-1-1-1-1-1-1-11111ii−i−i-1-11111-1-1−i−iii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1ii−i−i-1-1-1-11111i−i-11-1-1-1-11111iiii−i−i−i−i-11i−iii−i−iii−i−i-1-111-1-111ii−i−i11-1-1−i−iii1-1−ii
χ321-11-1-111-11−i−iii111-1-111-1-111-1-1-1-1-1-11111-1-1−ii1-1−i−iii−i−iii11-1-111−i−i−i−iiiii1111-1-1-1-111-1-1-1-1-1-1-1-11111−i−iii11-1-111-1-1−i−iii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1ii−i−i-1-1-1-11111−ii1-11111-1-1-1-1−i−i−i−iiiii-11i−iii−i−iii−i−i-1-11111-1-1−i−iii-1-111ii−i−i-11i−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+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
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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+5200000000222222221+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+521−521−52000000000000-2-2-2-2−1−52−1−52−1+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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χ1704-44-4-444-4-2−4i−4i4i4i−1−5−1+5-222-2-222−1−5−1+51+51+51−51−51+51−5−1−5−1+5−1−5−1+51+51−5−4i4i4-42i2i−2i−2i2i2i−2i−2i-2-2221+521−522ζ11+2ζ19+2ζ31+2ζ592ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ7−2ζ23−2ζ43−2ζ471+521+521−521−52−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+520000000000000000−1−5−1+51+51−52ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−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+ζ471+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000000000000000000000000000000000000000000000000000000
χ1714-44-4-444-4-2−4i−4i4i4i−1+5−1−5-222-2-222−1+5−1−51−51−51+51+51−51+5−1+5−1−5−1+5−1−51−51+54i−4i-442i2i−2i−2i−2i−2i2i2i22-2-21−521+522ζ7+2ζ23+2ζ43+2ζ472ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−2ζ11−2ζ19−2ζ31−2ζ591−521−521+521+52−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−5200000000000000001−51+5−1+5−1−5−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ59−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−ζ59−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000000000000000000000000000000000000000000000000000000
χ1724-44-4-444-4-2−4i−4i4i4i−1+5−1−5-222-2-222−1+5−1−51−51−51+51+51−51+5−1+5−1−5−1+5−1−51−51+5−4i4i4-42i2i−2i−2i2i2i−2i−2i-2-2221−521+522ζ7+2ζ23+2ζ43+2ζ472ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−2ζ11−2ζ19−2ζ31−2ζ591−521−521+521+52−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−520000000000000000−1+5−1−51−51+52ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−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+ζ591−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000000000000000000000000000000000000000000000000000
χ1734-4-4444-4-440000−1−5−1+54-44-4-44-41+51−5−1−51+5−1+51−51+51−51+51−5−1−5−1+5−1−5−1+50000000000000000−1−5−1+5000000001+51+51−51−5−1−51+5−1+51−5−1−5−1+51+5−1−51−5−1+5000000004-4-44000000000000000000000000000000000000000000000000000000000000−1−51+5−1+51−51+5−1−51−5−1+5000000000000000000000000000000000000
χ1744-4-4444-4-440000−1−5−1+54-44-4-44-41+51−5−1−51+5−1+51−51+51−51+51−5−1−5−1+5−1−5−1+50000000000000000−1−5−1+5000000001+51+51−51−5−1−51+5−1+51−5−1−5−1+51+5−1−51−5−1+500000000-444-40000000000000000000000000000000000000000000000000000000000001+5−1−51−5−1+5−1−51+5−1+51−5000000000000000000000000000000000000
χ1754-4-4444-4-440000−1+5−1−54-44-4-44-41−51+5−1+51−5−1−51+51−51+51−51+5−1+5−1−5−1+5−1−50000000000000000−1+5−1−5000000001−51−51+51+5−1+51−5−1−51+5−1+5−1−51−5−1+51+5−1−5000000004-4-44000000000000000000000000000000000000000000000000000000000000−1+51−5−1−51+51−5−1+51+5−1−5000000000000000000000000000000000000
χ1764-4-4444-4-440000−1+5−1−54-44-4-44-41−51+5−1+51−5−1−51+51−51+51−51+5−1+5−1−5−1+5−1−50000000000000000−1+5−1−5000000001−51−51+51+5−1+51−5−1−51+5−1+5−1−51−5−1+51+5−1−500000000-444-40000000000000000000000000000000000000000000000000000000000001−5−1+51+5−1−5−1+51−5−1−51+5000000000000000000000000000000000000
χ1774-4-4444-4-4-2000044-22-222-22-4-44-44-4-4-4-4-444440000000000000000-2-2000000002222-22-22-2-22-22-24i−4i−4i4i−4i4i4i−4i00000000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000000000000000000000000000
χ1784-4-4444-4-4-2000044-22-222-22-4-44-44-4-4-4-4-444440000000000000000-2-2000000002222-22-22-2-22-22-2−4i4i4i−4i4i−4i−4i4i000000000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000000000000000000000000000
χ1794-4-44-4-44440000−1−5−1+5-4-4-4-44441+51−5−1−5−1−5−1+5−1+51+51−5−1−5−1+51+51−51+51−50000000000000000−1−5−1+5000000001+5−1−51−5−1+5−1−5−1−5−1+5−1+51+51−51+51+51−51−50000000000004-4-44000000000000000000000000000000000000000000000000−1−51+5−1+51−51+5−1−51−5−1+500000000000000000000000000000000000000000000
χ1804-4-44-4-44440000−1−5−1+5-4-4-4-44441+51−5−1−5−1−5−1+5−1+51+51−5−1−5−1+51+51−51+51−50000000000000000−1−5−1+5000000001+5−1−51−5−1+5−1−5−1−5−1+5−1+51+51−51+51+51−51−5000000000000-444-40000000000000000000000000000000000000000000000001+5−1−51−5−1+5−1−51+5−1+51−500000000000000000000000000000000000000000000
χ1814-4-44-4-44440000−1+5−1−5-4-4-4-44441−51+5−1+5−1+5−1−5−1−51−51+5−1+5−1−51−51+51−51+50000000000000000−1+5−1−5000000001−5−1+51+5−1−5−1+5−1+5−1−5−1−51−51+51−51−51+51+50000000000004-4-44000000000000000000000000000000000000000000000000−1+51−5−1−51+51−5−1+51+5−1−500000000000000000000000000000000000000000000
χ1824-4-44-4-44440000−1+5−1−5-4-4-4-44441−51+5−1+5−1+5−1−5−1−51−51+5−1+5−1−51−51+51−51+50000000000000000−1+5−1−5000000001−5−1+51+5−1−5−1+5−1+5−1−5−1−51−51+51−51−51+51+5000000000000-444-40000000000000000000000000000000000000000000000001−5−1+51+5−1−5−1+51−5−1−51+500000000000000000000000000000000000000000000
χ1834-4-44-4-444-20000442222-2-2-2-4-44444-4-444-4-4-4-40000000000000000-2-2000000002-22-2-2-2-2-22222224i−4i4i−4i−4i4i−4i4i00000000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i00000000000000000000000000000000000000000000000000000000
χ1844-4-44-4-444-20000442222-2-2-2-4-44444-4-444-4-4-4-40000000000000000-2-2000000002-22-2-2-2-2-2222222−4i4i−4i4i4i−4i4i−4i000000000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i00000000000000000000000000000000000000000000000000000000
χ18588-8-88-88-8-40000−2−25−2+254-4-44-4442+252−252+252+252−252−25−2−25−2+25−2−25−2+252+252−25−2−25−2+2500000000000000001+51−500000000−1−51+5−1+51−5−1−5−1−5−1+5−1+5−1−5−1+51+51+51−51−500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ18688-8-88-88-8-40000−2+25−2−254-4-44-4442−252+252−252−252+252+25−2+25−2−25−2+25−2−252−252+25−2+25−2−2500000000000000001−51+500000000−1+51−5−1−51+5−1+5−1+5−1−5−1−5−1+5−1−51−51−51+51+500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ18788-8-8-88-88-40000−2−25−2+25-4-44444-42+252−252+25−2−252−25−2+25−2−25−2+252+252−25−2−25−2+252+252−2500000000000000001+51−500000000−1−5−1−5−1+5−1+5−1−51+5−1+51−51+51−51+5−1−51−5−1+500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ18888-8-8-88-88-40000−2+25−2−25-4-44444-42−252+252−25−2+252+25−2−25−2+25−2−252−252+25−2+25−2−252−252+2500000000000000001−51+500000000−1+5−1+5−1−5−1−5−1+51−5−1−51+51−51+51−5−1+51+5−1−500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1898-8-8888-8-8-40000−2−25−2+25-44-444-442+252−25−2−252+25−2+252−252+252−252+252−25−2−25−2+25−2−25−2+2500000000000000001+51−500000000−1−5−1−5−1+5−1+51+5−1−51−5−1+51+51−5−1−51+5−1+51−500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1908-8-8888-8-8-40000−2+25−2−25-44-444-442−252+25−2+252−25−2−252+252−252+252−252+25−2+25−2−25−2+25−2−2500000000000000001−51+500000000−1+5−1+5−1−5−1−51−5−1+51+5−1−51−51+5−1+51−5−1−51+500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1918-8-88-8-888-40000−2−25−2+254444-4-4-42+252−25−2−25−2−25−2+25−2+252+252−25−2−25−2+252+252−252+252−2500000000000000001+51−500000000−1−51+5−1+51−51+51+51−51−5−1−5−1+5−1−5−1−5−1+5−1+500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1928-8-88-8-888-40000−2+25−2−254444-4-4-42−252+25−2+25−2+25−2−25−2−252−252+25−2+25−2−252−252+252−252+2500000000000000001−51+500000000−1+51−5−1−51+51−51−51+51+5−1+5−1−5−1+5−1+5−1−5−1−500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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