Finite Group Databasebeta

← Group #14322017

Character table — Group #14322017

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192
size11111111222222222222222222222222222244444444444444444444444444444444444444445555555566666666888888888888888888888888888888881010101010101010101010101212121212121212121212121212121212121212202020202020202020202020202020202424242424242424303030303030303060606060
order12222222344445566666661010101010101010101010101010444412121212121212121212121215152020202020202020303030303030303030303030303044444444444444442020202020202020606060606060606060606060606060606060606060606060444412121212121212124444202020202020202020202020202020202244666612121212121212122020202020202020444444442244
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
χ5111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ7111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111111111-1-1-1-1
χ9111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1
χ10111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111
χ11111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ12111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1
χ13111111111-1-1-1-111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ14111111111-1-1-1-111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ15111111111-1-1-1-111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-1
χ16111111111-1-1-1-111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111
χ171-1-111-11-11ii−i−i111-11-11-1-11111-1-1-1-1-1-1-1-1111-1i−iii−i−i11-1-1ii−i−i11iiii−i−i−i−i1111-1-1-1-111-1-1-1-1iiii−i−i−i−iii−i−i11-1-1ii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i11-1-1iiii−i−i−i−i1-1i−iiiii−i−i−i−i1111-1-1-1-11-1i−i11-1-111-1-1ii−i−iii−i−i11-1-111-1-1ii−i−i1-1i−i
χ181-1-111-11-11ii−i−i111-11-11-1-11111-1-1-1-1-1-1-1-1111-1i−iii−i−i11-1-1ii−i−i11iiii−i−i−i−i1111-1-1-1-111-1-1-1-1iiii−i−i−i−i−i−iii-1-111ii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i11-1-1iiii−i−i−i−i-11−ii−i−i−i−iiiii-1-1-1-111111-1i−i11-1-111-1-1ii−i−i−i−iii-1-111-1-111−i−iii-11−ii
χ191-1-111-11-11ii−i−i111-11-11-1-11111-1-1-1-1-1-1-1-1111-1i−iii−i−i11-1-1ii−i−i11iiii−i−i−i−i1111-1-1-1-111-1-1-1-1−i−i−i−iiiiiii−i−i11-1-1ii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i-1-111−i−i−i−iiiii1-1i−iiiii−i−i−i−i1111-1-1-1-1-11−ii-1-111-1-111−i−iiiii−i−i11-1-1-1-111−i−iii-11−ii
χ201-1-111-11-11ii−i−i111-11-11-1-11111-1-1-1-1-1-1-1-1111-1i−iii−i−i11-1-1ii−i−i11iiii−i−i−i−i1111-1-1-1-111-1-1-1-1−i−i−i−iiiii−i−iii-1-111ii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i-1-111−i−i−i−iiiii-11−ii−i−i−i−iiiii-1-1-1-11111-11−ii-1-111-1-111−i−iii−i−iii-1-11111-1-1ii−i−i1-1i−i
χ211-1-111-11-11ii−i−i111-11-11-1-11111-1-1-1-1-1-1-1-111-11−iiii−i−i-1-111−i−iii11iiii−i−i−i−i1111-1-1-1-111-1-1-1-1iiii−i−i−i−iii−i−i11-1-1−i−iii-1-111iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii11-1-1iiii−i−i−i−i-11−iiiiii−i−i−i−i1111-1-1-1-1-11−ii-1-11111-1-1−i−iii−i−iii-1-11111-1-1ii−i−i-11−ii
χ221-1-111-11-11ii−i−i111-11-11-1-11111-1-1-1-1-1-1-1-111-11−iiii−i−i-1-111−i−iii11iiii−i−i−i−i1111-1-1-1-111-1-1-1-1iiii−i−i−i−i−i−iii-1-111−i−iii-1-111iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii11-1-1iiii−i−i−i−i1-1i−i−i−i−i−iiiii-1-1-1-11111-11−ii-1-11111-1-1−i−iiiii−i−i11-1-1-1-111−i−iii1-1i−i
χ231-1-111-11-11ii−i−i111-11-11-1-11111-1-1-1-1-1-1-1-111-11−iiii−i−i-1-111−i−iii11iiii−i−i−i−i1111-1-1-1-111-1-1-1-1−i−i−i−iiiiiii−i−i11-1-1−i−iii-1-111iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii-1-111−i−i−i−iiiii-11−iiiiii−i−i−i−i1111-1-1-1-11-1i−i11-1-1-1-111ii−i−i−i−iii-1-111-1-111−i−iii1-1i−i
χ241-1-111-11-11ii−i−i111-11-11-1-11111-1-1-1-1-1-1-1-111-11−iiii−i−i-1-111−i−iii11iiii−i−i−i−i1111-1-1-1-111-1-1-1-1−i−i−i−iiiii−i−iii-1-111−i−iii-1-111iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii-1-111−i−i−i−iiiii1-1i−i−i−i−i−iiiii-1-1-1-111111-1i−i11-1-1-1-111ii−i−iii−i−i11-1-111-1-1ii−i−i-11−ii
χ251-1-111-11-11−i−iii111-11-11-1-11111-1-1-1-1-1-1-1-1111-1−ii−i−iii11-1-1−i−iii11−i−i−i−iiiii1111-1-1-1-111-1-1-1-1iiii−i−i−i−iii−i−i-1-111−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii-1-111iiii−i−i−i−i-11i−iiiii−i−i−i−i-1-1-1-11111-11i−i-1-111-1-111ii−i−iii−i−i-1-11111-1-1−i−iii1-1−ii
χ261-1-111-11-11−i−iii111-11-11-1-11111-1-1-1-1-1-1-1-1111-1−ii−i−iii11-1-1−i−iii11−i−i−i−iiiii1111-1-1-1-111-1-1-1-1iiii−i−i−i−i−i−iii11-1-1−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii-1-111iiii−i−i−i−i1-1−ii−i−i−i−iiiii1111-1-1-1-1-11i−i-1-111-1-111ii−i−i−i−iii11-1-1-1-111ii−i−i-11i−i
χ271-1-111-11-11−i−iii111-11-11-1-11111-1-1-1-1-1-1-1-1111-1−ii−i−iii11-1-1−i−iii11−i−i−i−iiiii1111-1-1-1-111-1-1-1-1−i−i−i−iiiiiii−i−i-1-111−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii11-1-1−i−i−i−iiiii-11i−iiiii−i−i−i−i-1-1-1-111111-1−ii11-1-111-1-1−i−iiiii−i−i-1-111-1-111ii−i−i-11i−i
χ281-1-111-11-11−i−iii111-11-11-1-11111-1-1-1-1-1-1-1-1111-1−ii−i−iii11-1-1−i−iii11−i−i−i−iiiii1111-1-1-1-111-1-1-1-1−i−i−i−iiiii−i−iii11-1-1−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii11-1-1−i−i−i−iiiii1-1−ii−i−i−i−iiiii1111-1-1-1-11-1−ii11-1-111-1-1−i−iii−i−iii11-1-111-1-1−i−iii1-1−ii
χ291-1-111-11-11−i−iii111-11-11-1-11111-1-1-1-1-1-1-1-111-11i−i−i−iii-1-111ii−i−i11−i−i−i−iiiii1111-1-1-1-111-1-1-1-1iiii−i−i−i−iii−i−i-1-111ii−i−i-1-111−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i-1-111iiii−i−i−i−i1-1−iiiiii−i−i−i−i-1-1-1-111111-1−ii11-1-1-1-111−i−iii−i−iii11-1-111-1-1−i−iii-11i−i
χ301-1-111-11-11−i−iii111-11-11-1-11111-1-1-1-1-1-1-1-111-11i−i−i−iii-1-111ii−i−i11−i−i−i−iiiii1111-1-1-1-111-1-1-1-1iiii−i−i−i−i−i−iii11-1-1ii−i−i-1-111−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i-1-111iiii−i−i−i−i-11i−i−i−i−i−iiiii1111-1-1-1-11-1−ii11-1-1-1-111−i−iiiii−i−i-1-111-1-111ii−i−i1-1−ii
χ311-1-111-11-11−i−iii111-11-11-1-11111-1-1-1-1-1-1-1-111-11i−i−i−iii-1-111ii−i−i11−i−i−i−iiiii1111-1-1-1-111-1-1-1-1−i−i−i−iiiiiii−i−i-1-111ii−i−i-1-111−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i11-1-1−i−i−i−iiiii1-1−iiiiii−i−i−i−i-1-1-1-11111-11i−i-1-11111-1-1ii−i−i−i−iii11-1-1-1-111ii−i−i1-1−ii
χ321-1-111-11-11−i−iii111-11-11-1-11111-1-1-1-1-1-1-1-111-11i−i−i−iii-1-111ii−i−i11−i−i−i−iiiii1111-1-1-1-111-1-1-1-1−i−i−i−iiiii−i−iii11-1-1ii−i−i-1-111−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i11-1-1−i−i−i−iiiii-11i−i−i−i−i−iiiii1111-1-1-1-1-11i−i-1-11111-1-1ii−i−iii−i−i-1-11111-1-1−i−iii-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
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+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+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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χ1764-4-444-44-4-2−4i−4i4i4i−1−5−1+5-22-22-222−1−5−1−5−1+5−1+51+51−51+51−51+51−51+51−5−1−5−1+5-444i−4i2i2i−2i−2i22-2-2−2i−2i2i2i1+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+520000000000000000−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ471+51−5−1−5−1+5−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+ζ47−1−52−1−52−1+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−ζ4700000000000000000000000000000000000000000000000000000000000000000000
χ1774-4-444-44-4-2−4i−4i4i4i−1+5−1−5-22-22-222−1+5−1+5−1−5−1−51−51+51−51+51−51+51−51+5−1+5−1−54-4−4i4i2i2i−2i−2i-2-2222i2i−2i−2i1−521+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+52−1−52−1−5200000000000000002ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−1+5−1−51−51+5−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+52−1−52−1−52−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+ζ5900000000000000000000000000000000000000000000000000000000000000000000
χ1784-4-444-44-4-2−4i−4i4i4i−1+5−1−5-22-22-222−1+5−1+5−1−5−1−51−51+51−51+51−51+51−51+5−1+5−1−5-444i−4i2i2i−2i−2i22-2-2−2i−2i2i2i1−521+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+52−1−52−1−520000000000000000−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ591−51+5−1+5−1−5−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+ζ59−1+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−ζ5900000000000000000000000000000000000000000000000000000000000000000000
χ1794-4-4-444-4440000−1−5−1+5-4-44-4-4441+51+51−51−5−1−5−1+51+51−51+51−5−1−5−1+5−1−5−1+50000000000000000−1−5−1+5000000001+51+51−51−51+5−1−51−5−1+5−1−5−1+51+5−1−51−5−1+50000000000004-4-4400000000000000000000000000000000000000000000000000000000−1−51+5−1+51−51+5−1−51−5−1+5000000000000000000000000000000000000
χ1804-4-4-444-4440000−1−5−1+5-4-44-4-4441+51+51−51−5−1−5−1+51+51−51+51−5−1−5−1+5−1−5−1+50000000000000000−1−5−1+5000000001+51+51−51−51+5−1−51−5−1+5−1−5−1+51+5−1−51−5−1+5000000000000-444-4000000000000000000000000000000000000000000000000000000001+5−1−51−5−1+5−1−51+5−1+51−5000000000000000000000000000000000000
χ1814-4-4-444-4440000−1+5−1−5-4-44-4-4441−51−51+51+5−1+5−1−51−51+51−51+5−1+5−1−5−1+5−1−50000000000000000−1+5−1−5000000001−51−51+51+51−5−1+51+5−1−5−1+5−1−51−5−1+51+5−1−50000000000004-4-4400000000000000000000000000000000000000000000000000000000−1+51−5−1−51+51−5−1+51+5−1−5000000000000000000000000000000000000
χ1824-4-4-444-4440000−1+5−1−5-4-44-4-4441−51−51+51+5−1+5−1−51−51+51−51+5−1+5−1−5−1+5−1−50000000000000000−1+5−1−5000000001−51−51+51+51−5−1+51+5−1−5−1+5−1−51−5−1+51+5−1−5000000000000-444-4000000000000000000000000000000000000000000000000000000001−5−1+51+5−1−5−1+51−5−1−51+5000000000000000000000000000000000000
χ1834-4-4-444-44-200004422-222-2-2-4-4-4-444-4-4-4-444440000000000000000-2-20000000022222-22-2-2-22-22-244-4-4-4-44400000000000000000000000000000000000000000000-2-22222-2-200000000000000000000000000000000000000000000000000000000
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χ185888-88-8-8-8-40000−2−25−2+254-4-4-44442+252+252−252−252+252−25−2−25−2+25−2−25−2+252+252−25−2−25−2+2500000000000000001+51−500000000−1−5−1−5−1+5−1+51+5−1−51−5−1+51+51−51+5−1−51−5−1+500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ186888-88-8-8-8-40000−2+25−2−254-4-4-44442−252−252+252+252−252+25−2+25−2−25−2+25−2−252−252+25−2+25−2−2500000000000000001−51+500000000−1+5−1+5−1−5−1−51−5−1+51+5−1−51−51+51−5−1+51+5−1−500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ18788-88-88-8-8-40000−2−25−2+25444-4-44-4−2−252+25−2+252−252+252−25−2−25−2+252+252−25−2−25−2+252+252−2500000000000000001+51−5000000001+5−1−51−5−1+5−1−5−1−5−1+5−1+5−1−5−1+51+51+51−51−500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ18888-88-88-8-8-40000−2+25−2−25444-4-44-4−2+252−25−2−252+252−252+25−2+25−2−252−252+25−2+25−2−252−252+2500000000000000001−51+5000000001−5−1+51+5−1−5−1+5−1+5−1−5−1−5−1+5−1−51−51−51+51+500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1898-888-8-8-88-40000−2−25−2+254-444-4-44−2−252+25−2+252−25−2−25−2+252+252−25−2−25−2+252+252−252+252−2500000000000000001+51−5000000001+5−1−51−5−1+51+51+51−51−5−1−5−1+5−1−5−1−5−1+5−1+500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1908-888-8-8-88-40000−2+25−2−254-444-4-44−2+252−25−2−252+25−2+25−2−252−252+25−2+25−2−252−252+252−252+2500000000000000001−51+5000000001−5−1+51+5−1−51−51−51+51+5−1+5−1−5−1+5−1+5−1−5−1−500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1918-8-8-888-88-40000−2−25−2+2544-444-4-42+252+252−252−25−2−25−2+252+252−252+252−25−2−25−2+25−2−25−2+2500000000000000001+51−500000000−1−5−1−5−1+5−1+5−1−51+5−1+51−51+51−5−1−51+5−1+51−500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1928-8-8-888-88-40000−2+25−2−2544-444-4-42−252−252+252+25−2+25−2−252−252+252−252+25−2+25−2−25−2+25−2−2500000000000000001−51+500000000−1+5−1+5−1−5−1−5−1+51−5−1−51+51−51+5−1+51−5−1−51+500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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