Finite Group Databasebeta

← Group #13144347

Character table — Group #13144347

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200
size11111166666666999999111111666666669999991111116666666699999911111166666666999999222222121212121212121218181818181822222212121212121212121818181818182222221212121212121212181818181818222222121212121212121218181818181822222212121212121212121818181818182222221212121212121212181818181818
order123366333366664412121212226666666666664412121212226666666666664412121212226666666666664412121212441212121212121212121212124412121212441212121212121212121212124412121212441212121212121212121212124412121212441212121212121212121212124412121212441212121212121212121212124412121212441212121212121212121212124412121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1
χ31-111-1-11111-1-1-1-1i−iii−i−i1-111-1-11111-1-1-1-1i−iii−i−i1-111-1-11111-1-1-1-1i−iii−i−i1-111-1-11111-1-1-1-1i−iii−i−i1-111-1-11111-1-1-1-1i−iii−i−i1-111-1-11111-1-1-1-1i−iii−i−i1-111-1-11111-1-1-1-1i−iii−i−i1-111-1-11111-1-1-1-1i−iii−i−i1-111-1-11111-1-1-1-1i−iii−i−i1-111-1-11111-1-1-1-1i−iii−i−i
χ41-111-1-11111-1-1-1-1−ii−i−iii1-111-1-11111-1-1-1-1−ii−i−iii1-111-1-11111-1-1-1-1−ii−i−iii1-111-1-11111-1-1-1-1−ii−i−iii1-111-1-11111-1-1-1-1−ii−i−iii1-111-1-11111-1-1-1-1−ii−i−iii1-111-1-11111-1-1-1-1−ii−i−iii1-111-1-11111-1-1-1-1−ii−i−iii1-111-1-11111-1-1-1-1−ii−i−iii1-111-1-11111-1-1-1-1−ii−i−iii
χ52222222-1-1-12-1-1-10000002222222-1-1-12-1-1-10000002222222-1-1-12-1-1-10000002222222-1-1-12-1-1-10000002222222-1-1-12-1-1-10000002222222-1-1-12-1-1-10000002222222-1-1-12-1-1-10000002222222-1-1-12-1-1-10000002222222-1-1-12-1-1-10000002222222-1-1-12-1-1-1000000
χ6222222-12-1-1-12-1-1000000222222-12-1-1-12-1-1000000222222-12-1-1-12-1-1000000222222-12-1-1-12-1-1000000222222-12-1-1-12-1-1000000222222-12-1-1-12-1-1000000222222-12-1-1-12-1-1000000222222-12-1-1-12-1-1000000222222-12-1-1-12-1-1000000222222-12-1-1-12-1-1000000
χ7222222-1-12-1-1-12-1000000222222-1-12-1-1-12-1000000222222-1-12-1-1-12-1000000222222-1-12-1-1-12-1000000222222-1-12-1-1-12-1000000222222-1-12-1-1-12-1000000222222-1-12-1-1-12-1000000222222-1-12-1-1-12-1000000222222-1-12-1-1-12-1000000222222-1-12-1-1-12-1000000
χ8222222-1-1-12-1-1-12000000222222-1-1-12-1-1-12000000222222-1-1-12-1-1-12000000222222-1-1-12-1-1-12000000222222-1-1-12-1-1-12000000222222-1-1-12-1-1-12000000222222-1-1-12-1-1-12000000222222-1-1-12-1-1-12000000222222-1-1-12-1-1-12000000222222-1-1-12-1-1-12000000
χ92-222-2-22-1-1-1-21110000002-222-2-22-1-1-1-21110000002-222-2-22-1-1-1-21110000002-222-2-22-1-1-1-21110000002-222-2-22-1-1-1-21110000002-222-2-22-1-1-1-21110000002-222-2-22-1-1-1-21110000002-222-2-22-1-1-1-21110000002-222-2-22-1-1-1-21110000002-222-2-22-1-1-1-2111000000
χ102-222-2-2-12-1-11-2110000002-222-2-2-12-1-11-2110000002-222-2-2-12-1-11-2110000002-222-2-2-12-1-11-2110000002-222-2-2-12-1-11-2110000002-222-2-2-12-1-11-2110000002-222-2-2-12-1-11-2110000002-222-2-2-12-1-11-2110000002-222-2-2-12-1-11-2110000002-222-2-2-12-1-11-211000000
χ112-222-2-2-1-12-111-210000002-222-2-2-1-12-111-210000002-222-2-2-1-12-111-210000002-222-2-2-1-12-111-210000002-222-2-2-1-12-111-210000002-222-2-2-1-12-111-210000002-222-2-2-1-12-111-210000002-222-2-2-1-12-111-210000002-222-2-2-1-12-111-210000002-222-2-2-1-12-111-21000000
χ122-222-2-2-1-1-12111-20000002-222-2-2-1-1-12111-20000002-222-2-2-1-1-12111-20000002-222-2-2-1-1-12111-20000002-222-2-2-1-1-12111-20000002-222-2-2-1-1-12111-20000002-222-2-2-1-1-12111-20000002-222-2-2-1-1-12111-20000002-222-2-2-1-1-12111-20000002-222-2-2-1-1-12111-2000000
χ1333−3−3i32−3+3i32−3−3i32−3+3i320000000011−1−i32−1+i32−1−i32−1+i3233−3−3i32−3+3i32−3−3i32−3+3i320000000011−1−i32−1+i32−1−i32−1+i3233−3−3i32−3+3i32−3−3i32−3+3i320000000011−1−i32−1+i32−1−i32−1+i3233−3−3i32−3+3i32−3−3i32−3+3i320000000011−1−i32−1+i32−1−i32−1+i3233−3−3i32−3+3i32−3−3i32−3+3i320000000011−1−i32−1+i32−1−i32−1+i3233−3−3i32−3+3i32−3−3i32−3+3i320000000011−1−i32−1+i32−1−i32−1+i3233−3−3i32−3+3i32−3−3i32−3+3i320000000011−1−i32−1+i32−1−i32−1+i3233−3−3i32−3+3i32−3−3i32−3+3i320000000011−1−i32−1+i32−1−i32−1+i3233−3−3i32−3+3i32−3−3i32−3+3i320000000011−1−i32−1+i32−1−i32−1+i3233−3−3i32−3+3i32−3−3i32−3+3i320000000011−1−i32−1+i32−1−i32−1+i32
χ1433−3−3i32−3+3i32−3−3i32−3+3i3200000000-1-11+i321−i321+i321−i3233−3−3i32−3+3i32−3−3i32−3+3i3200000000-1-11+i321−i321+i321−i3233−3−3i32−3+3i32−3−3i32−3+3i3200000000-1-11+i321−i321+i321−i3233−3−3i32−3+3i32−3−3i32−3+3i3200000000-1-11+i321−i321+i321−i3233−3−3i32−3+3i32−3−3i32−3+3i3200000000-1-11+i321−i321+i321−i3233−3−3i32−3+3i32−3−3i32−3+3i3200000000-1-11+i321−i321+i321−i3233−3−3i32−3+3i32−3−3i32−3+3i3200000000-1-11+i321−i321+i321−i3233−3−3i32−3+3i32−3−3i32−3+3i3200000000-1-11+i321−i321+i321−i3233−3−3i32−3+3i32−3−3i32−3+3i3200000000-1-11+i321−i321+i321−i3233−3−3i32−3+3i32−3−3i32−3+3i3200000000-1-11+i321−i321+i321−i32
χ1533−3+3i32−3−3i32−3+3i32−3−3i320000000011−1+i32−1−i32−1+i32−1−i3233−3+3i32−3−3i32−3+3i32−3−3i320000000011−1+i32−1−i32−1+i32−1−i3233−3+3i32−3−3i32−3+3i32−3−3i320000000011−1+i32−1−i32−1+i32−1−i3233−3+3i32−3−3i32−3+3i32−3−3i320000000011−1+i32−1−i32−1+i32−1−i3233−3+3i32−3−3i32−3+3i32−3−3i320000000011−1+i32−1−i32−1+i32−1−i3233−3+3i32−3−3i32−3+3i32−3−3i320000000011−1+i32−1−i32−1+i32−1−i3233−3+3i32−3−3i32−3+3i32−3−3i320000000011−1+i32−1−i32−1+i32−1−i3233−3+3i32−3−3i32−3+3i32−3−3i320000000011−1+i32−1−i32−1+i32−1−i3233−3+3i32−3−3i32−3+3i32−3−3i320000000011−1+i32−1−i32−1+i32−1−i3233−3+3i32−3−3i32−3+3i32−3−3i320000000011−1+i32−1−i32−1+i32−1−i32
χ1633−3+3i32−3−3i32−3+3i32−3−3i3200000000-1-11−i321+i321−i321+i3233−3+3i32−3−3i32−3+3i32−3−3i3200000000-1-11−i321+i321−i321+i3233−3+3i32−3−3i32−3+3i32−3−3i3200000000-1-11−i321+i321−i321+i3233−3+3i32−3−3i32−3+3i32−3−3i3200000000-1-11−i321+i321−i321+i3233−3+3i32−3−3i32−3+3i32−3−3i3200000000-1-11−i321+i321−i321+i3233−3+3i32−3−3i32−3+3i32−3−3i3200000000-1-11−i321+i321−i321+i3233−3+3i32−3−3i32−3+3i32−3−3i3200000000-1-11−i321+i321−i321+i3233−3+3i32−3−3i32−3+3i32−3−3i3200000000-1-11−i321+i321−i321+i3233−3+3i32−3−3i32−3+3i32−3−3i3200000000-1-11−i321+i321−i321+i3233−3+3i32−3−3i32−3+3i32−3−3i3200000000-1-11−i321+i321−i321+i32
χ173-3−3−3i32−3+3i323+3i323−3i3200000000i−iζ11ζ7−ζ11−ζ73-3−3−3i32−3+3i323+3i323−3i3200000000i−iζ11ζ7−ζ11−ζ73-3−3−3i32−3+3i323+3i323−3i3200000000i−iζ11ζ7−ζ11−ζ73-3−3−3i32−3+3i323+3i323−3i3200000000i−iζ11ζ7−ζ11−ζ73-3−3−3i32−3+3i323+3i323−3i3200000000i−iζ11ζ7−ζ11−ζ73-3−3−3i32−3+3i323+3i323−3i3200000000i−iζ11ζ7−ζ11−ζ73-3−3−3i32−3+3i323+3i323−3i3200000000i−iζ11ζ7−ζ11−ζ73-3−3−3i32−3+3i323+3i323−3i3200000000i−iζ11ζ7−ζ11−ζ73-3−3−3i32−3+3i323+3i323−3i3200000000i−iζ11ζ7−ζ11−ζ73-3−3−3i32−3+3i323+3i323−3i3200000000i−iζ11ζ7−ζ11−ζ7
χ183-3−3−3i32−3+3i323+3i323−3i3200000000−ii−ζ11−ζ7ζ11ζ73-3−3−3i32−3+3i323+3i323−3i3200000000−ii−ζ11−ζ7ζ11ζ73-3−3−3i32−3+3i323+3i323−3i3200000000−ii−ζ11−ζ7ζ11ζ73-3−3−3i32−3+3i323+3i323−3i3200000000−ii−ζ11−ζ7ζ11ζ73-3−3−3i32−3+3i323+3i323−3i3200000000−ii−ζ11−ζ7ζ11ζ73-3−3−3i32−3+3i323+3i323−3i3200000000−ii−ζ11−ζ7ζ11ζ73-3−3−3i32−3+3i323+3i323−3i3200000000−ii−ζ11−ζ7ζ11ζ73-3−3−3i32−3+3i323+3i323−3i3200000000−ii−ζ11−ζ7ζ11ζ73-3−3−3i32−3+3i323+3i323−3i3200000000−ii−ζ11−ζ7ζ11ζ73-3−3−3i32−3+3i323+3i323−3i3200000000−ii−ζ11−ζ7ζ11ζ7
χ193-3−3+3i32−3−3i323−3i323+3i3200000000i−iζ7ζ11−ζ7−ζ113-3−3+3i32−3−3i323−3i323+3i3200000000i−iζ7ζ11−ζ7−ζ113-3−3+3i32−3−3i323−3i323+3i3200000000i−iζ7ζ11−ζ7−ζ113-3−3+3i32−3−3i323−3i323+3i3200000000i−iζ7ζ11−ζ7−ζ113-3−3+3i32−3−3i323−3i323+3i3200000000i−iζ7ζ11−ζ7−ζ113-3−3+3i32−3−3i323−3i323+3i3200000000i−iζ7ζ11−ζ7−ζ113-3−3+3i32−3−3i323−3i323+3i3200000000i−iζ7ζ11−ζ7−ζ113-3−3+3i32−3−3i323−3i323+3i3200000000i−iζ7ζ11−ζ7−ζ113-3−3+3i32−3−3i323−3i323+3i3200000000i−iζ7ζ11−ζ7−ζ113-3−3+3i32−3−3i323−3i323+3i3200000000i−iζ7ζ11−ζ7−ζ11
χ203-3−3+3i32−3−3i323−3i323+3i3200000000−ii−ζ7−ζ11ζ7ζ113-3−3+3i32−3−3i323−3i323+3i3200000000−ii−ζ7−ζ11ζ7ζ113-3−3+3i32−3−3i323−3i323+3i3200000000−ii−ζ7−ζ11ζ7ζ113-3−3+3i32−3−3i323−3i323+3i3200000000−ii−ζ7−ζ11ζ7ζ113-3−3+3i32−3−3i323−3i323+3i3200000000−ii−ζ7−ζ11ζ7ζ113-3−3+3i32−3−3i323−3i323+3i3200000000−ii−ζ7−ζ11ζ7ζ113-3−3+3i32−3−3i323−3i323+3i3200000000−ii−ζ7−ζ11ζ7ζ113-3−3+3i32−3−3i323−3i323+3i3200000000−ii−ζ7−ζ11ζ7ζ113-3−3+3i32−3−3i323−3i323+3i3200000000−ii−ζ7−ζ11ζ7ζ113-3−3+3i32−3−3i323−3i323+3i3200000000−ii−ζ7−ζ11ζ7ζ11
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2211111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ231-111-1-11111-1-1-1-1i−iii−i−i1-111-1-11111-1-1-1-1i−iii−i−i1-111-1-11111-1-1-1-1i−iii−i−i1-111-1-11111-1-1-1-1i−iii−i−i1-111-1-11111-1-1-1-1i−iii−i−i1-111-1-11111-1-1-1-1i−iii−i−i-11-1-111-1-1-1-11111−ii−i−iii-11-1-111-1-1-1-11111−ii−i−iii-11-1-111-1-1-1-11111−ii−i−iii-11-1-111-1-1-1-11111−ii−i−iii
χ241-111-1-11111-1-1-1-1−ii−i−iii1-111-1-11111-1-1-1-1−ii−i−iii1-111-1-11111-1-1-1-1−ii−i−iii1-111-1-11111-1-1-1-1−ii−i−iii1-111-1-11111-1-1-1-1−ii−i−iii1-111-1-11111-1-1-1-1−ii−i−iii-11-1-111-1-1-1-11111i−iii−i−i-11-1-111-1-1-1-11111i−iii−i−i-11-1-111-1-1-1-11111i−iii−i−i-11-1-111-1-1-1-11111i−iii−i−i
χ252222222-1-1-12-1-1-10000002222222-1-1-12-1-1-10000002222222-1-1-12-1-1-10000002222222-1-1-12-1-1-10000002222222-1-1-12-1-1-10000002222222-1-1-12-1-1-1000000-2-2-2-2-2-2-2111-2111000000-2-2-2-2-2-2-2111-2111000000-2-2-2-2-2-2-2111-2111000000-2-2-2-2-2-2-2111-2111000000
χ26222222-12-1-1-12-1-1000000222222-12-1-1-12-1-1000000222222-12-1-1-12-1-1000000222222-12-1-1-12-1-1000000222222-12-1-1-12-1-1000000222222-12-1-1-12-1-1000000-2-2-2-2-2-21-2111-211000000-2-2-2-2-2-21-2111-211000000-2-2-2-2-2-21-2111-211000000-2-2-2-2-2-21-2111-211000000
χ27222222-1-12-1-1-12-1000000222222-1-12-1-1-12-1000000222222-1-12-1-1-12-1000000222222-1-12-1-1-12-1000000222222-1-12-1-1-12-1000000222222-1-12-1-1-12-1000000-2-2-2-2-2-211-2111-21000000-2-2-2-2-2-211-2111-21000000-2-2-2-2-2-211-2111-21000000-2-2-2-2-2-211-2111-21000000
χ28222222-1-1-12-1-1-12000000222222-1-1-12-1-1-12000000222222-1-1-12-1-1-12000000222222-1-1-12-1-1-12000000222222-1-1-12-1-1-12000000222222-1-1-12-1-1-12000000-2-2-2-2-2-2111-2111-2000000-2-2-2-2-2-2111-2111-2000000-2-2-2-2-2-2111-2111-2000000-2-2-2-2-2-2111-2111-2000000
χ292-222-2-22-1-1-1-21110000002-222-2-22-1-1-1-21110000002-222-2-22-1-1-1-21110000002-222-2-22-1-1-1-21110000002-222-2-22-1-1-1-21110000002-222-2-22-1-1-1-2111000000-22-2-222-21112-1-1-1000000-22-2-222-21112-1-1-1000000-22-2-222-21112-1-1-1000000-22-2-222-21112-1-1-1000000
χ302-222-2-2-12-1-11-2110000002-222-2-2-12-1-11-2110000002-222-2-2-12-1-11-2110000002-222-2-2-12-1-11-2110000002-222-2-2-12-1-11-2110000002-222-2-2-12-1-11-211000000-22-2-2221-211-12-1-1000000-22-2-2221-211-12-1-1000000-22-2-2221-211-12-1-1000000-22-2-2221-211-12-1-1000000
χ312-222-2-2-1-12-111-210000002-222-2-2-1-12-111-210000002-222-2-2-1-12-111-210000002-222-2-2-1-12-111-210000002-222-2-2-1-12-111-210000002-222-2-2-1-12-111-21000000-22-2-22211-21-1-12-1000000-22-2-22211-21-1-12-1000000-22-2-22211-21-1-12-1000000-22-2-22211-21-1-12-1000000
χ322-222-2-2-1-1-12111-20000002-222-2-2-1-1-12111-20000002-222-2-2-1-1-12111-20000002-222-2-2-1-1-12111-20000002-222-2-2-1-1-12111-20000002-222-2-2-1-1-12111-2000000-22-2-222111-2-1-1-12000000-22-2-222111-2-1-1-12000000-22-2-222111-2-1-1-12000000-22-2-222111-2-1-1-12000000
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χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4211111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ431-111-1-11111-1-1-1-1i−iii−i−i1-111-1-11111-1-1-1-1i−iii−i−i1-111-1-11111-1-1-1-1i−iii−i−i1-111-1-11111-1-1-1-1i−iii−i−i-11-1-111-1-1-1-11111−ii−i−iii-11-1-111-1-1-1-11111−ii−i−iii1-111-1-11111-1-1-1-1i−iii−i−i1-111-1-11111-1-1-1-1i−iii−i−i-11-1-111-1-1-1-11111−ii−i−iii-11-1-111-1-1-1-11111−ii−i−iii
χ441-111-1-11111-1-1-1-1−ii−i−iii1-111-1-11111-1-1-1-1−ii−i−iii1-111-1-11111-1-1-1-1−ii−i−iii1-111-1-11111-1-1-1-1−ii−i−iii-11-1-111-1-1-1-11111i−iii−i−i-11-1-111-1-1-1-11111i−iii−i−i1-111-1-11111-1-1-1-1−ii−i−iii1-111-1-11111-1-1-1-1−ii−i−iii-11-1-111-1-1-1-11111i−iii−i−i-11-1-111-1-1-1-11111i−iii−i−i
χ452222222-1-1-12-1-1-10000002222222-1-1-12-1-1-10000002222222-1-1-12-1-1-10000002222222-1-1-12-1-1-1000000-2-2-2-2-2-2-2111-2111000000-2-2-2-2-2-2-2111-21110000002222222-1-1-12-1-1-10000002222222-1-1-12-1-1-1000000-2-2-2-2-2-2-2111-2111000000-2-2-2-2-2-2-2111-2111000000
χ46222222-12-1-1-12-1-1000000222222-12-1-1-12-1-1000000222222-12-1-1-12-1-1000000222222-12-1-1-12-1-1000000-2-2-2-2-2-21-2111-211000000-2-2-2-2-2-21-2111-211000000222222-12-1-1-12-1-1000000222222-12-1-1-12-1-1000000-2-2-2-2-2-21-2111-211000000-2-2-2-2-2-21-2111-211000000
χ47222222-1-12-1-1-12-1000000222222-1-12-1-1-12-1000000222222-1-12-1-1-12-1000000222222-1-12-1-1-12-1000000-2-2-2-2-2-211-2111-21000000-2-2-2-2-2-211-2111-21000000222222-1-12-1-1-12-1000000222222-1-12-1-1-12-1000000-2-2-2-2-2-211-2111-21000000-2-2-2-2-2-211-2111-21000000
χ48222222-1-1-12-1-1-12000000222222-1-1-12-1-1-12000000222222-1-1-12-1-1-12000000222222-1-1-12-1-1-12000000-2-2-2-2-2-2111-2111-2000000-2-2-2-2-2-2111-2111-2000000222222-1-1-12-1-1-12000000222222-1-1-12-1-1-12000000-2-2-2-2-2-2111-2111-2000000-2-2-2-2-2-2111-2111-2000000
χ492-222-2-22-1-1-1-21110000002-222-2-22-1-1-1-21110000002-222-2-22-1-1-1-21110000002-222-2-22-1-1-1-2111000000-22-2-222-21112-1-1-1000000-22-2-222-21112-1-1-10000002-222-2-22-1-1-1-21110000002-222-2-22-1-1-1-2111000000-22-2-222-21112-1-1-1000000-22-2-222-21112-1-1-1000000
χ502-222-2-2-12-1-11-2110000002-222-2-2-12-1-11-2110000002-222-2-2-12-1-11-2110000002-222-2-2-12-1-11-211000000-22-2-2221-211-12-1-1000000-22-2-2221-211-12-1-10000002-222-2-2-12-1-11-2110000002-222-2-2-12-1-11-211000000-22-2-2221-211-12-1-1000000-22-2-2221-211-12-1-1000000
χ512-222-2-2-1-12-111-210000002-222-2-2-1-12-111-210000002-222-2-2-1-12-111-210000002-222-2-2-1-12-111-21000000-22-2-22211-21-1-12-1000000-22-2-22211-21-1-12-10000002-222-2-2-1-12-111-210000002-222-2-2-1-12-111-21000000-22-2-22211-21-1-12-1000000-22-2-22211-21-1-12-1000000
χ522-222-2-2-1-1-12111-20000002-222-2-2-1-1-12111-20000002-222-2-2-1-1-12111-20000002-222-2-2-1-1-12111-2000000-22-2-222111-2-1-1-12000000-22-2-222111-2-1-1-120000002-222-2-2-1-1-12111-20000002-222-2-2-1-1-12111-2000000-22-2-222111-2-1-1-12000000-22-2-222111-2-1-1-12000000
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χ17566−3+3i3−3−3i3−3+3i3−3−3i30000000022−1+i3−1−i3−1+i3−1−i366−3+3i3−3−3i3−3+3i3−3−3i30000000022−1+i3−1−i3−1+i3−1−i3-6-63−3i33+3i33−3i33+3i300000000-2-21−i31+i31−i31+i3-6-63−3i33+3i33−3i33+3i300000000-2-21−i31+i31−i31+i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ17666−3+3i3−3−3i3−3+3i3−3−3i300000000-2-21−i31+i31−i31+i366−3+3i3−3−3i3−3+3i3−3−3i300000000-2-21−i31+i31−i31+i3-6-63−3i33+3i33−3i33+3i30000000022−1+i3−1−i3−1+i3−1−i3-6-63−3i33+3i33−3i33+3i30000000022−1+i3−1−i3−1+i3−1−i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1776-6−3−3i3−3+3i33+3i33−3i3000000002i−2i2ζ112ζ7−2ζ11−2ζ76-6−3−3i3−3+3i33+3i33−3i3000000002i−2i2ζ112ζ7−2ζ11−2ζ7-663+3i33−3i3−3−3i3−3+3i300000000−2i2i−2ζ11−2ζ72ζ112ζ7-663+3i33−3i3−3−3i3−3+3i300000000−2i2i−2ζ11−2ζ72ζ112ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1786-6−3−3i3−3+3i33+3i33−3i300000000−2i2i−2ζ11−2ζ72ζ112ζ76-6−3−3i3−3+3i33+3i33−3i300000000−2i2i−2ζ11−2ζ72ζ112ζ7-663+3i33−3i3−3−3i3−3+3i3000000002i−2i2ζ112ζ7−2ζ11−2ζ7-663+3i33−3i3−3−3i3−3+3i3000000002i−2i2ζ112ζ7−2ζ11−2ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1796-6−3+3i3−3−3i33−3i33+3i3000000002i−2i2ζ72ζ11−2ζ7−2ζ116-6−3+3i3−3−3i33−3i33+3i3000000002i−2i2ζ72ζ11−2ζ7−2ζ11-663−3i33+3i3−3+3i3−3−3i300000000−2i2i−2ζ7−2ζ112ζ72ζ11-663−3i33+3i3−3+3i3−3−3i300000000−2i2i−2ζ7−2ζ112ζ72ζ11000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1806-6−3+3i3−3−3i33−3i33+3i300000000−2i2i−2ζ7−2ζ112ζ72ζ116-6−3+3i3−3−3i33−3i33+3i300000000−2i2i−2ζ7−2ζ112ζ72ζ11-663−3i33+3i3−3+3i3−3−3i3000000002i−2i2ζ72ζ11−2ζ7−2ζ11-663−3i33+3i3−3+3i3−3−3i3000000002i−2i2ζ72ζ11−2ζ7−2ζ11000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ18122222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222222222222222000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ18222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222222222222222-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1832-222-2-22222-2-2-2-22i−2i2i2i−2i−2i-22-2-222-2-2-2-22222−2i2i−2i−2i2i2i-22-2-222-2-2-2-22222−2i2i−2i−2i2i2i2-222-2-22222-2-2-2-22i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1842-222-2-22222-2-2-2-2−2i2i−2i−2i2i2i-22-2-222-2-2-2-222222i−2i2i2i−2i−2i-22-2-222-2-2-2-222222i−2i2i2i−2i−2i2-222-2-22222-2-2-2-2−2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1854444444-2-2-24-2-2-2000000-4-4-4-4-4-4-4222-4222000000-4-4-4-4-4-4-4222-42220000004444444-2-2-24-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ186444444-24-2-2-24-2-2000000-4-4-4-4-4-42-4222-422000000-4-4-4-4-4-42-4222-422000000444444-24-2-2-24-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ187444444-2-24-2-2-24-2000000-4-4-4-4-4-422-4222-42000000-4-4-4-4-4-422-4222-42000000444444-2-24-2-2-24-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ188444444-2-2-24-2-2-24000000-4-4-4-4-4-4222-4222-4000000-4-4-4-4-4-4222-4222-4000000444444-2-2-24-2-2-24000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1894-444-4-44-2-2-2-4222000000-44-4-444-42224-2-2-2000000-44-4-444-42224-2-2-20000004-444-4-44-2-2-2-4222000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1904-444-4-4-24-2-22-422000000-44-4-4442-422-24-2-2000000-44-4-4442-422-24-2-20000004-444-4-4-24-2-22-422000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1914-444-4-4-2-24-222-42000000-44-4-44422-42-2-24-2000000-44-4-44422-42-2-24-20000004-444-4-4-2-24-222-42000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1924-444-4-4-2-2-24222-4000000-44-4-444222-4-2-2-24000000-44-4-444222-4-2-2-240000004-444-4-4-2-2-24222-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ19366−3−3i3−3+3i3−3−3i3−3+3i30000000022−1−i3−1+i3−1−i3−1+i3-6-63+3i33−3i33+3i33−3i300000000-2-21+i31−i31+i31−i3-6-63+3i33−3i33+3i33−3i300000000-2-21+i31−i31+i31−i366−3−3i3−3+3i3−3−3i3−3+3i30000000022−1−i3−1+i3−1−i3−1+i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ19466−3−3i3−3+3i3−3−3i3−3+3i300000000-2-21+i31−i31+i31−i3-6-63+3i33−3i33+3i33−3i30000000022−1−i3−1+i3−1−i3−1+i3-6-63+3i33−3i33+3i33−3i30000000022−1−i3−1+i3−1−i3−1+i366−3−3i3−3+3i3−3−3i3−3+3i300000000-2-21+i31−i31+i31−i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ19566−3+3i3−3−3i3−3+3i3−3−3i30000000022−1+i3−1−i3−1+i3−1−i3-6-63−3i33+3i33−3i33+3i300000000-2-21−i31+i31−i31+i3-6-63−3i33+3i33−3i33+3i300000000-2-21−i31+i31−i31+i366−3+3i3−3−3i3−3+3i3−3−3i30000000022−1+i3−1−i3−1+i3−1−i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ19666−3+3i3−3−3i3−3+3i3−3−3i300000000-2-21−i31+i31−i31+i3-6-63−3i33+3i33−3i33+3i30000000022−1+i3−1−i3−1+i3−1−i3-6-63−3i33+3i33−3i33+3i30000000022−1+i3−1−i3−1+i3−1−i366−3+3i3−3−3i3−3+3i3−3−3i300000000-2-21−i31+i31−i31+i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1976-6−3−3i3−3+3i33+3i33−3i3000000002i−2i2ζ112ζ7−2ζ11−2ζ7-663+3i33−3i3−3−3i3−3+3i300000000−2i2i−2ζ11−2ζ72ζ112ζ7-663+3i33−3i3−3−3i3−3+3i300000000−2i2i−2ζ11−2ζ72ζ112ζ76-6−3−3i3−3+3i33+3i33−3i3000000002i−2i2ζ112ζ7−2ζ11−2ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1986-6−3−3i3−3+3i33+3i33−3i300000000−2i2i−2ζ11−2ζ72ζ112ζ7-663+3i33−3i3−3−3i3−3+3i3000000002i−2i2ζ112ζ7−2ζ11−2ζ7-663+3i33−3i3−3−3i3−3+3i3000000002i−2i2ζ112ζ7−2ζ11−2ζ76-6−3−3i3−3+3i33+3i33−3i300000000−2i2i−2ζ11−2ζ72ζ112ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1996-6−3+3i3−3−3i33−3i33+3i3000000002i−2i2ζ72ζ11−2ζ7−2ζ11-663−3i33+3i3−3+3i3−3−3i300000000−2i2i−2ζ7−2ζ112ζ72ζ11-663−3i33+3i3−3+3i3−3−3i300000000−2i2i−2ζ7−2ζ112ζ72ζ116-6−3+3i3−3−3i33−3i33+3i3000000002i−2i2ζ72ζ11−2ζ7−2ζ11000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2006-6−3+3i3−3−3i33−3i33+3i300000000−2i2i−2ζ7−2ζ112ζ72ζ11-663−3i33+3i3−3+3i3−3−3i3000000002i−2i2ζ72ζ11−2ζ7−2ζ11-663−3i33+3i3−3+3i3−3−3i3000000002i−2i2ζ72ζ11−2ζ7−2ζ116-6−3+3i3−3−3i33−3i33+3i300000000−2i2i−2ζ7−2ζ112ζ72ζ11000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.