Finite Group Databasebeta

← Group #13135690

Character table — Group #13135690

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146
size1111222222222222223333333344444444444444446666666666666666666666666666666666661212121212121212121212121212121212121212121212121212121212121212121212121212121212121212363636363636363636363636363636363636363636363636
order12442223444666121212123366121212126688881212242424242424242466666699912121212121218181818181818181836363636363636363636363618181818181824242424242424243636363636367272727272727272727272727272727272727272727272724444888812121212121212122424242424242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ5111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111111111111111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32
χ6111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111111111111111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32
χ7111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-111-1-1-1-1-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32
χ8111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-111-1-1-1-1-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32-1-1-1-111111+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32
χ9111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111111111111111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32
χ10111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111111111111111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32
χ11111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1-1-111-1-1-1-1-1-1-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32
χ12111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1-1-111-1-1-1-1-1-1-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32-1-1-1-111111−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32
χ1311111-1-111-1-1111111111111111-1-111-1-1-1-11111-1-1-1-11-11-1-1-11111-11-1-1-1111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i
χ1411111-1-111-1-1111111111111111-1-111-1-1-1-11111-1-1-1-11-11-1-1-11111-11-1-1-1111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii
χ1511111-1-111-1-1111111111111111-1-1-1-111-1-1-1-1-1-111111-11-1-1-11111-11-1-1-1111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111ii−i−i−i−iiiii−i−iii−i−i−i−iii−i−iii
χ1611111-1-111-1-1111111111111111-1-1-1-111-1-1-1-1-1-111111-11-1-1-11111-11-1-1-1111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111−i−iiiii−i−i−i−iii−i−iiiii−i−iii−i−i
χ1711111-1-111-1-11111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111-1-1-1-11111-1-1-1-1−1−i321+i32−1+i321−i321+i321−i321−1−i32−1+i32−1−i321+i32−1+i321−i321+i321−i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-1-11+i321+i321−i321−i321111-1-1-1-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ii−i−iii−i−iζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7
χ1811111-1-111-1-11111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111-1-1-1-11111-1-1-1-1−1−i321+i32−1+i321−i321+i321−i321−1−i32−1+i32−1−i321+i32−1+i321−i321+i321−i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-1-11+i321+i321−i321−i321111-1-1-1-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−i−iii−i−iii−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7
χ1911111-1-111-1-11111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-111-1-1-1-1-1-11111−1−i321+i32−1+i321−i321+i321−i321−1−i32−1+i32−1−i321+i32−1+i321−i321+i321−i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-1-11+i321+i321−i321−i32-1-1-1-111111+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32ii−i−i−i−iiiζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7
χ2011111-1-111-1-11111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-111-1-1-1-1-1-11111−1−i321+i32−1+i321−i321+i321−i321−1−i32−1+i32−1−i321+i32−1+i321−i321+i321−i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-1-11+i321+i321−i321−i32-1-1-1-111111+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−i−iiiii−i−i−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7ζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7
χ2111111-1-111-1-11111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-111-1-1-1-11111-1-1-1-1−1+i321−i32−1−i321+i321−i321+i321−1+i32−1−i32−1+i321−i32−1−i321+i321−i321+i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-1-11−i321−i321+i321+i321111-1-1-1-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ii−i−iii−i−iζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11
χ2211111-1-111-1-11111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-111-1-1-1-11111-1-1-1-1−1+i321−i32−1−i321+i321−i321+i321−1+i32−1−i32−1+i321−i32−1−i321+i321−i321+i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-1-11−i321−i321+i321+i321111-1-1-1-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−i−iii−i−iii−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11
χ2311111-1-111-1-11111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-111-1-1-1-1-1-11111−1+i321−i32−1−i321+i321−i321+i321−1+i32−1−i32−1+i321−i32−1−i321+i321−i321+i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-1-11−i321−i321+i321+i32-1-1-1-111111−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32ii−i−i−i−iiiζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11
χ2411111-1-111-1-11111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-111-1-1-1-1-1-11111−1+i321−i32−1−i321+i321−i321+i321−1+i32−1−i32−1+i321−i32−1−i321+i321−i321+i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-1-11−i321−i321+i321+i32-1-1-1-111111−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−i−iiiii−i−i−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11ζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11
χ2511-1-11111-1-1-1111-1-1-1-11111-1-1-1-111i−ii−i-1-1ii−i−iii−i−i111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111i−ii−ii−ii−i-1-1-1-1-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i1-11-1i−ii−i1-11-11-11-1i−ii−ii−ii−i
χ2611-1-11111-1-1-1111-1-1-1-11111-1-1-1-111i−ii−i-1-1ii−i−iii−i−i111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111i−ii−ii−ii−i-1-1-1-1-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i-11-11−ii−ii-11-11-11-11−ii−ii−ii−ii
χ2711-1-11111-1-1-1111-1-1-1-11111-1-1-1-111−ii−ii-1-1−i−iii−i−iii111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111−ii−ii−ii−ii-1-1-1-1-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii1-11-1−ii−ii1-11-11-11-1−ii−ii−ii−ii
χ2811-1-11111-1-1-1111-1-1-1-11111-1-1-1-111−ii−ii-1-1−i−iii−i−iii111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111−ii−ii−ii−ii-1-1-1-1-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii-11-11i−ii−i-11-11-11-11i−ii−ii−ii−i
χ2911-1-11111-1-1-1111-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i3211i−ii−i-1-1ii−i−iii−i−i−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321−1−i32−1+i321+i321+i321−i321−i321+i321−i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ7-1-11+i321+i321−i321−i32ii−i−iii−i−iζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ71-11-1i−ii−i−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ7
χ3011-1-11111-1-1-1111-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i3211i−ii−i-1-1ii−i−iii−i−i−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321−1−i32−1+i321+i321+i321−i321−i321+i321−i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ7-1-11+i321+i321−i321−i32ii−i−iii−i−iζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7-11-11−ii−ii1+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i32−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ7
χ3111-1-11111-1-1-1111-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i3211−ii−ii-1-1−i−iii−i−iii−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321−1−i32−1+i321+i321+i321−i321−i321+i321−i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ7-1-11+i321+i321−i321−i32−i−iii−i−iii−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ71-11-1−ii−ii−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ7
χ3211-1-11111-1-1-1111-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i3211−ii−ii-1-1−i−iii−i−iii−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321−1−i32−1+i321+i321+i321−i321−i321+i321−i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ7-1-11+i321+i321−i321−i32−i−iii−i−iii−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7-11-11i−ii−i1+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i32ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ7
χ3311-1-11111-1-1-1111-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i3211i−ii−i-1-1ii−i−iii−i−i−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−1+i32−1−i321−i321−i321+i321+i321−i321+i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ11-1-11−i321−i321+i321+i32ii−i−iii−i−iζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ111-11-1i−ii−i−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ11
χ3411-1-11111-1-1-1111-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i3211i−ii−i-1-1ii−i−iii−i−i−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−1+i32−1−i321−i321−i321+i321+i321−i321+i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ11-1-11−i321−i321+i321+i32ii−i−iii−i−iζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11-11-11−ii−ii1−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i32−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ11
χ3511-1-11111-1-1-1111-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i3211−ii−ii-1-1−i−iii−i−iii−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−1+i32−1−i321−i321−i321+i321+i321−i321+i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ11-1-11−i321−i321+i321+i32−i−iii−i−iii−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ111-11-1−ii−ii−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ11
χ3611-1-11111-1-1-1111-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i3211−ii−ii-1-1−i−iii−i−iii−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−1+i32−1−i321−i321−i321+i321+i321−i321+i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ11-1-11−i321−i321+i321+i32−i−iii−i−iii−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11-11-11i−ii−i1−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i32ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ11
χ3711-1-11-1-11-111111-1-1-1-11111-1-1-1-1-1-1i−i−ii11ii−i−i−i−iii1-11-1-1-1111-11-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−i−iii−i−ii111111ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiii−i−ii-111-1i−i−iii−i−ii-111-1-111-1
χ3811-1-11-1-11-111111-1-1-1-11111-1-1-1-1-1-1i−i−ii11ii−i−i−i−iii1-11-1-1-1111-11-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−i−iii−i−ii111111ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii−iii−i1-1-11−iii−i−iii−i1-1-111-1-11
χ3911-1-11-1-11-111111-1-1-1-11111-1-1-1-1-1-1−iii−i11−i−iiiii−i−i1-11-1-1-1111-11-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−iii−i−iii−i111111−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−ii−i−ii1-1-11i−i−iii−i−ii1-1-111-1-11
χ4011-1-11-1-11-111111-1-1-1-11111-1-1-1-1-1-1−iii−i11−i−iiiii−i−i1-11-1-1-1111-11-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−iii−i−iii−i111111−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−iii−i-111-1−iii−i−iii−i-111-1-111-1
χ4111-1-11-1-11-111111-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1-1i−i−ii11ii−i−i−i−iii−1−i321+i32−1+i321−i321+i321−i321−1−i32−1+i321+i32−1−i321−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32ζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ711−1−i32−1−i32−1+i32−1+i32ii−i−i−i−iiiζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7i−i−ii-111-1ζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ71+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i32
χ4211-1-11-1-11-111111-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1-1i−i−ii11ii−i−i−i−iii−1−i321+i32−1+i321−i321+i321−i321−1−i32−1+i321+i32−1−i321−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32ζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ711−1−i32−1−i32−1+i32−1+i32ii−i−i−i−iiiζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7−iii−i1-1-11−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ7−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i32
χ4311-1-11-1-11-111111-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1-1−iii−i11−i−iiiii−i−i−1−i321+i32−1+i321−i321+i321−i321−1−i32−1+i321+i32−1−i321−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ711−1−i32−1−i32−1+i32−1+i32−i−iiiii−i−i−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7i−i−ii1-1-11ζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ7−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i32
χ4411-1-11-1-11-111111-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1-1−iii−i11−i−iiiii−i−i−1−i321+i32−1+i321−i321+i321−i321−1−i32−1+i321+i32−1−i321−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ711−1−i32−1−i32−1+i32−1+i32−i−iiiii−i−i−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−iii−i-111-1−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ71+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i32
χ4511-1-11-1-11-111111-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1-1i−i−ii11ii−i−i−i−iii−1+i321−i32−1−i321+i321−i321+i321−1+i32−1−i321−i32−1+i321+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32ζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ1111−1+i32−1+i32−1−i32−1−i32ii−i−i−i−iiiζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11i−i−ii-111-1ζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ111−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i32
χ4611-1-11-1-11-111111-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1-1i−i−ii11ii−i−i−i−iii−1+i321−i32−1−i321+i321−i321+i321−1+i32−1−i321−i32−1+i321+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32ζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ1111−1+i32−1+i32−1−i32−1−i32ii−i−i−i−iiiζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11−iii−i1-1-11−ζ7ζ7ζ7−ζ7−ζ11ζ11ζ11−ζ11−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i32
χ4711-1-11-1-11-111111-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1-1−iii−i11−i−iiiii−i−i−1+i321−i32−1−i321+i321−i321+i321−1+i32−1−i321−i32−1+i321+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32−ζ7ζ7ζ7−ζ7−ζ11ζ11ζ11−ζ1111−1+i32−1+i32−1−i32−1−i32−i−iiiii−i−i−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11i−i−ii1-1-11ζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ11−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i32
χ4811-1-11-1-11-111111-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1-1−iii−i11−i−iiiii−i−i−1+i321−i32−1−i321+i321−i321+i321−1+i32−1−i321−i32−1+i321+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32−ζ7ζ7ζ7−ζ7−ζ11ζ11ζ11−ζ1111−1+i32−1+i32−1−i32−1−i32−i−iiiii−i−i−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−iii−i-111-1−ζ7ζ7ζ7−ζ7−ζ11ζ11ζ11−ζ111−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i32
χ49222222222222222222222222222222222222222222222222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ502222222222222222222222222222-2-2-2-222-2-2-2-2-2-2-2-2222222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1111111111111111111111111000000000000000000000000
χ51222222222222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i32222222222222222−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3-11+i321−i32−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3-1-11+i321+i321−i321−i32-11+i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3-1-11+i321+i321−i321−i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32000000000000000000000000
χ52222222222222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i322-2-2-2-222-2-2-2-2-2-2-2-2−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3-11+i321−i32−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3-1-11+i321+i321−i321−i32-11+i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i321+i31+i31+i31+i31−i31−i31−i31−i3-1-11+i321+i321−i321−i3211111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000000000000000000000
χ53222222222222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i32222222222222222−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3-11−i321+i32−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3-1-11−i321−i321+i321+i32-11−i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3-1-11−i321−i321+i321+i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32000000000000000000000000
χ54222222222222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i322-2-2-2-222-2-2-2-2-2-2-2-2−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3-11−i321+i32−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3-1-11−i321−i321+i321+i32-11−i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i321−i31−i31−i31−i31+i31+i31+i31+i3-1-11−i321−i321+i321+i3211111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000000000000000000000
χ5522222-2-222-2-2222222222222222-2-222-2-2-2-22222-2-2-2-22-22-2-2-2-1-1-12-22-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111122-2-222-2-2111111-1-1-1-11111-1-1-1-11111-1-1-1-11111000000000000000000000000
χ5622222-2-222-2-2222222222222222-2-2-2-222-2-2-2-2-2-222222-22-2-2-2-1-1-12-22-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-2-222-2-2221111111111-1-1-1-11111-1-1-1-11111-1-1-1-1000000000000000000000000
χ5722222-2-222-2-22222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-2-222-2-2-2-22222-2-2-2-2−1−i31+i3−1+i31−i31+i31−i3-11+i321−i32−1−i31+i3−1+i31−i31+i31−i3-1-11+i321+i321−i321−i32-11+i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i311−1−i32−1−i32−1+i32−1+i32-1-1-1-111111+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32000000000000000000000000
χ5822222-2-222-2-22222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-2-2-2-222-2-2-2-2-2-22222−1−i31+i3−1+i31−i31+i31−i3-11+i321−i32−1−i31+i3−1+i31−i31+i31−i3-1-11+i321+i321−i321−i32-11+i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i321+i31+i3−1−i3−1−i31−i31−i3−1+i3−1+i311−1−i32−1−i32−1+i32−1+i321111-1-1-1-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32000000000000000000000000
χ5922222-2-222-2-22222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-2-222-2-2-2-22222-2-2-2-2−1+i31−i3−1−i31+i31−i31+i3-11−i321+i32−1+i31−i3−1−i31+i31−i31+i3-1-11−i321−i321+i321+i32-11−i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32−1+i3−1+i31−i31−i3−1−i3−1−i31+i31+i311−1+i32−1+i32−1−i32−1−i32-1-1-1-111111−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32000000000000000000000000
χ6022222-2-222-2-22222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-2-2-2-222-2-2-2-2-2-22222−1+i31−i3−1−i31+i31−i31+i3-11−i321+i32−1+i31−i3−1−i31+i31−i31+i3-1-11−i321−i321+i321+i32-11−i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i321−i31−i3−1+i3−1+i31+i31+i3−1−i3−1−i311−1+i32−1+i32−1−i32−1−i321111-1-1-1-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32000000000000000000000000
χ612222-22-22-2-22-2-22-2-222222222222-200002-200000000-22-22-2-2222-2-2-2-222-2-2-2-2-2-2222-2-2-2-2-2-22222222-22-22-2000000002-22-22-2000000000000000000000000000000000000000000000000
χ622222-22-22-2-22-2-22-2-222222222222-200002-200000000-22-22-2-2-1-1-1-2-2-2-222111111-1-1-1111111-1-1-1-1-1-1-11-11-1100000000-11-11-11−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3000000000000000000000000
χ632222-22-22-2-22-2-22-2-222222222222-200002-200000000-22-22-2-2-1-1-1-2-2-2-222111111-1-1-1111111-1-1-1-1-1-1-11-11-1100000000-11-11-11i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3000000000000000000000000
χ642222-22-22-2-22-2-22-2-222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i32-200002-2000000001+i3−1−i31−i3−1+i31+i31−i32−1−i3−1+i31+i31+i31−i31−i3−1−i3−1+i3-2-21+i31+i31−i31−i32−1−i3−1+i3-2-21+i31+i31−i31−i322−1−i3−1−i3−1+i3−1+i32-2−1−i31+i3−1+i31−i3000000002-2−1−i31+i3−1+i31−i3000000000000000000000000000000000000000000000000
χ652222-22-22-2-22-2-22-2-222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i32-200002-2000000001+i3−1−i31−i3−1+i31+i31−i3-11+i321−i321+i31+i31−i31−i3−1−i3−1+i311−1−i32−1−i32−1+i32−1+i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32-111+i32−1−i321−i32−1+i3200000000-111+i32−1−i321−i32−1+i32−i3i3−i3i3−i3i3−i3i3−3+i323−i32−3+i323−i32−3+i323−i32−3+i323−i323+i32−3−i323+i32−3−i323+i32−3−i323+i32−3−i32000000000000000000000000
χ662222-22-22-2-22-2-22-2-222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i32-200002-2000000001+i3−1−i31−i3−1+i31+i31−i3-11+i321−i321+i31+i31−i31−i3−1−i3−1+i311−1−i32−1−i32−1+i32−1+i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32-111+i32−1−i321−i32−1+i3200000000-111+i32−1−i321−i32−1+i32i3−i3i3−i3i3−i3i3−i33−i32−3+i323−i32−3+i323−i32−3+i323−i32−3+i32−3−i323+i32−3−i323+i32−3−i323+i32−3−i323+i32000000000000000000000000
χ672222-22-22-2-22-2-22-2-222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i32-200002-2000000001−i3−1+i31+i3−1−i31−i31+i32−1+i3−1−i31−i31−i31+i31+i3−1+i3−1−i3-2-21−i31−i31+i31+i32−1+i3−1−i3-2-21−i31−i31+i31+i322−1+i3−1+i3−1−i3−1−i32-2−1+i31−i3−1−i31+i3000000002-2−1+i31−i3−1−i31+i3000000000000000000000000000000000000000000000000
χ682222-22-22-2-22-2-22-2-222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i32-200002-2000000001−i3−1+i31+i3−1−i31−i31+i3-11−i321+i321−i31−i31+i31+i3−1+i3−1−i311−1+i32−1+i32−1−i32−1−i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32-111−i32−1+i321+i32−1−i3200000000-111−i32−1+i321+i32−1−i32−i3i3−i3i3−i3i3−i3i33+i32−3−i323+i32−3−i323+i32−3−i323+i32−3−i32−3+i323−i32−3+i323−i32−3+i323−i32−3+i323−i32000000000000000000000000
χ692222-22-22-2-22-2-22-2-222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i32-200002-2000000001−i3−1+i31+i3−1−i31−i31+i3-11−i321+i321−i31−i31+i31+i3−1+i3−1−i311−1+i32−1+i32−1−i32−1−i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32-111−i32−1+i321+i32−1−i3200000000-111−i32−1+i321+i32−1−i32i3−i3i3−i3i3−i3i3−i3−3−i323+i32−3−i323+i32−3−i323+i32−3−i323+i323−i32−3+i323−i32−3+i323−i32−3+i323−i32−3+i32000000000000000000000000
χ702222-2-222-22-2-2-22-2-22222222222-220000-2200000000-2-2-2-222222-22-22-2-2-2-2-2-2-2-2222-2-2-2-2-2-2222222-22-22-2200000000-22-22-22000000000000000000000000000000000000000000000000
χ712222-2-222-22-2-2-22-2-22222222222-220000-2200000000-2-2-2-222-1-1-1-22-22-2-2111111-1-1-1111111-1-1-1-1-1-11-11-11-1000000001-11-11-1−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3000000000000000000000000
χ722222-2-222-22-2-2-22-2-22222222222-220000-2200000000-2-2-2-222-1-1-1-22-22-2-2111111-1-1-1111111-1-1-1-1-1-11-11-11-1000000001-11-11-1i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3000000000000000000000000
χ732222-2-222-22-2-2-22-2-222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-220000-22000000001+i31+i31−i31−i3−1−i3−1+i32−1−i3−1+i31+i3−1−i31−i3−1+i31+i31−i3-2-21+i31+i31−i31−i32−1−i3−1+i3-2-21+i31+i31−i31−i322−1−i3−1−i3−1+i3−1+i3-221+i3−1−i31−i3−1+i300000000-221+i3−1−i31−i3−1+i3000000000000000000000000000000000000000000000000
χ742222-2-222-22-2-2-22-2-222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-220000-22000000001+i31+i31−i31−i3−1−i3−1+i3-11+i321−i321+i3−1−i31−i3−1+i31+i31−i311−1−i32−1−i32−1+i32−1+i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i321-1−1−i321+i32−1+i321−i32000000001-1−1−i321+i32−1+i321−i32−i3i3−i3i3i3−i3i3−i3−3+i323−i32−3+i323−i323−i32−3+i323−i32−3+i323+i32−3−i323+i32−3−i32−3−i323+i32−3−i323+i32000000000000000000000000
χ752222-2-222-22-2-2-22-2-222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-220000-22000000001+i31+i31−i31−i3−1−i3−1+i3-11+i321−i321+i3−1−i31−i3−1+i31+i31−i311−1−i32−1−i32−1+i32−1+i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i321-1−1−i321+i32−1+i321−i32000000001-1−1−i321+i32−1+i321−i32i3−i3i3−i3−i3i3−i3i33−i32−3+i323−i32−3+i32−3+i323−i32−3+i323−i32−3−i323+i32−3−i323+i323+i32−3−i323+i32−3−i32000000000000000000000000
χ762222-2-222-22-2-2-22-2-222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-220000-22000000001−i31−i31+i31+i3−1+i3−1−i32−1+i3−1−i31−i3−1+i31+i3−1−i31−i31+i3-2-21−i31−i31+i31+i32−1+i3−1−i3-2-21−i31−i31+i31+i322−1+i3−1+i3−1−i3−1−i3-221−i3−1+i31+i3−1−i300000000-221−i3−1+i31+i3−1−i3000000000000000000000000000000000000000000000000
χ772222-2-222-22-2-2-22-2-222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-220000-22000000001−i31−i31+i31+i3−1+i3−1−i3-11−i321+i321−i3−1+i31+i3−1−i31−i31+i311−1+i32−1+i32−1−i32−1−i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i321-1−1+i321−i32−1−i321+i32000000001-1−1+i321−i32−1−i321+i32−i3i3−i3i3i3−i3i3−i33+i32−3−i323+i32−3−i32−3−i323+i32−3−i323+i32−3+i323−i32−3+i323−i323−i32−3+i323−i32−3+i32000000000000000000000000
χ782222-2-222-22-2-2-22-2-222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-220000-22000000001−i31−i31+i31+i3−1+i3−1−i3-11−i321+i321−i3−1+i31+i3−1−i31−i31+i311−1+i32−1+i32−1−i32−1−i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i321-1−1+i321−i32−1−i321+i32000000001-1−1+i321−i32−1−i321+i32i3−i3i3−i3−i3i3−i3i3−3−i323+i32−3−i323+i323+i32−3−i323+i32−3−i323−i32−3+i323−i32−3+i32−3+i323−i32−3+i323−i32000000000000000000000000
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χ1184-4−4i4i000400000-400−4i4i44-4-4−4i4i−4i4i0000000000000000000000444000000000000-4-4-4000000−4i4i−4i4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000
χ1194-4−4i4i000400000-400−4i4i44-4-4−4i4i−4i4i0000000000000000000000-2-2-2000000−2i32i3−2i32i3−2i32i3222−2323−2323−23232i−2i2i−2i2i−2i00000000000000000000000000000000000000000000000000000000000000000000
χ1204-4−4i4i000400000-400−4i4i44-4-4−4i4i−4i4i0000000000000000000000-2-2-20000002i3−2i32i3−2i32i3−2i322223−2323−2323−232i−2i2i−2i2i−2i00000000000000000000000000000000000000000000000000000000000000000000
χ1214-4−4i4i000400000-400−4i4i−2−2i3−2+2i32+2i32−2i3−4ζ114ζ11−4ζ74ζ700000000000000000000004−2−2i3−2+2i3000000000000-42+2i32−2i3000000−4i4i−4ζ114ζ11−4ζ74ζ700000000000000000000000000000000000000000000000000000000000000000000
χ1224-4−4i4i000400000-400−4i4i−2−2i3−2+2i32+2i32−2i3−4ζ114ζ11−4ζ74ζ70000000000000000000000-21+i31−i3000000−2i32i3−3+i33−i33+i3−3−i32−1−i3−1+i3−2323−4ζ7−2ζ114ζ7+2ζ112ζ7+4ζ11−2ζ7−4ζ112i−2i2ζ11−2ζ112ζ7−2ζ700000000000000000000000000000000000000000000000000000000000000000000
χ1234-4−4i4i000400000-400−4i4i−2−2i3−2+2i32+2i32−2i3−4ζ114ζ11−4ζ74ζ70000000000000000000000-21+i31−i30000002i3−2i33−i3−3+i3−3−i33+i32−1−i3−1+i323−234ζ7+2ζ11−4ζ7−2ζ11−2ζ7−4ζ112ζ7+4ζ112i−2i2ζ11−2ζ112ζ7−2ζ700000000000000000000000000000000000000000000000000000000000000000000
χ1244-4−4i4i000400000-400−4i4i−2+2i3−2−2i32−2i32+2i3−4ζ74ζ7−4ζ114ζ1100000000000000000000004−2+2i3−2−2i3000000000000-42−2i32+2i3000000−4i4i−4ζ74ζ7−4ζ114ζ1100000000000000000000000000000000000000000000000000000000000000000000
χ1254-4−4i4i000400000-400−4i4i−2+2i3−2−2i32−2i32+2i3−4ζ74ζ7−4ζ114ζ110000000000000000000000-21−i31+i3000000−2i32i33+i3−3−i3−3+i33−i32−1+i3−1−i3−23232ζ7+4ζ11−2ζ7−4ζ11−4ζ7−2ζ114ζ7+2ζ112i−2i2ζ7−2ζ72ζ11−2ζ1100000000000000000000000000000000000000000000000000000000000000000000
χ1264-4−4i4i000400000-400−4i4i−2+2i3−2−2i32−2i32+2i3−4ζ74ζ7−4ζ114ζ110000000000000000000000-21−i31+i30000002i3−2i3−3−i33+i33−i3−3+i32−1+i3−1−i323−23−2ζ7−4ζ112ζ7+4ζ114ζ7+2ζ11−4ζ7−2ζ112i−2i2ζ7−2ζ72ζ11−2ζ1100000000000000000000000000000000000000000000000000000000000000000000
χ1276666666-3666-3-3-3-3-3-3-300000000-3-36666-3-3-3-3-3-3-3-3-3-300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1286666666-3666-3-3-3-3-3-3-300000000-3-3-6-6-6-6-3-33333333300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12966666-6-6-36-6-6-3-3-3-3-3-3-3000000003366-6-633-3-3-3-3333300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13066666-6-6-36-6-6-3-3-3-3-3-3-30000000033-6-666333333-3-3-3-300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1316666-66-6-3-6-6633-333-3-300000000-330000-33−3i33i3−3i33i3−3i33i3−3i33i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1326666-66-6-3-6-6633-333-3-300000000-330000-333i3−3i33i3−3i33i3−3i33i3−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1336666-6-66-3-66-633-333-3-3000000003-300003-3−3i33i3−3i33i33i3−3i33i3−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1346666-6-66-3-66-633-333-3-3000000003-300003-33i3−3i33i3−3i3−3i33i3−3i33i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13566-6-6666-3-6-6-6-3-3-3333300000000-3-36i−6i6i−6i33−3i−3i3i3i−3i−3i3i3i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13666-6-6666-3-6-6-6-3-3-3333300000000-3-3−6i6i−6i6i333i3i−3i−3i3i3i−3i−3i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13766-6-66-6-6-3-666-3-3-3333300000000336i−6i−6i6i-3-3−3i−3i3i3i3i3i−3i−3i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13866-6-66-6-6-3-666-3-3-333330000000033−6i6i6i−6i-3-33i3i−3i−3i−3i−3i3i3i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13966-6-6-66-6-366-633-3-3-33300000000-3300003-333−33−333333−33−333300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14066-6-6-66-6-366-633-3-3-33300000000-3300003-3−333333−33−333333−3300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14166-6-6-6-66-36-6633-3-3-333000000003-30000-3333−33−3333−333333−3300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14266-6-6-6-66-36-6633-3-3-333000000003-30000-33−333333−3333−33−333300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14312-1212i−12i000-6000−6i36i3663−63−6i6i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14412-1212i−12i000-60006i3−6i36−6363−6i6i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14512-12−12i12i000-6000−6i36i36−63636i−6i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14612-12−12i12i000-60006i3−6i3663−636i−6i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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