Finite Group Databasebeta

← Group #13143213

Character table — Group #13143213

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146
size1122222223333444444446666666666666666661212121212121212121212121212121212121212121236363636363636363636363611222222233334444444466666666666666666612121212121212121212121212121212121212121212363636363636363636363636
order1223446121233666881224242424333666661212121212121212121266612121224242424242424242424242424242424226666882424242422264461212666668812242424246666666612121212121212121212666121212242424242424242424242424242424242266668824242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111-1-11-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111111111-1-11-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ411111111111111-1-11-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-11-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111−1−i32−1+i32−1−i32−1+i32111111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321111−1−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+i3211−1−i32−1−i32−1+i32−1+i32111111111−1−i32−1+i32−1−i32−1+i32111111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321111−1−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+i3211−1−i32−1−i32−1+i32−1+i32
χ6111111111−1−i32−1+i32−1−i32−1+i32111111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32111111111−1−i32−1+i32−1−i32−1+i32111111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32
χ7111111111−1−i32−1+i32−1−i32−1+i321-1-11-1-1-1-11−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32111111111−1−i32−1+i32−1−i32−1+i321-1-11-1-1-1-11−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32
χ8111111111−1−i32−1+i32−1−i32−1+i321-1-11-1-1-1-11−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32111111111−1−i32−1+i32−1−i32−1+i321-1-11-1-1-1-11−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32
χ9111111111−1+i32−1−i32−1+i32−1−i32111111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321111−1+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−i3211−1+i32−1+i32−1−i32−1−i32111111111−1+i32−1−i32−1+i32−1−i32111111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321111−1+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−i3211−1+i32−1+i32−1−i32−1−i32
χ10111111111−1+i32−1−i32−1+i32−1−i32111111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32111111111−1+i32−1−i32−1+i32−1−i32111111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32
χ11111111111−1+i32−1−i32−1+i32−1−i321-1-11-1-1-1-11−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32111111111−1+i32−1−i32−1+i32−1−i321-1-11-1-1-1-11−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32
χ12111111111−1+i32−1−i32−1+i32−1−i321-1-11-1-1-1-11−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32111111111−1+i32−1−i32−1+i32−1−i321-1-11-1-1-1-11−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32
χ131111-1-11-1-111111i−i-1ii−i−i11111111-1-1-1-1-1-1-1-1-1-1111-1-1-1ii−i−iiii−i−i−iiii−i−i−i1-11-11-1i−ii−ii−i1111-1-11-1-111111i−i-1ii−i−i11111111-1-1-1-1-1-1-1-1-1-1111-1-1-1ii−i−iiii−i−i−iiii−i−i−i1-11-11-1i−ii−ii−i
χ141111-1-11-1-111111i−i-1ii−i−i11111111-1-1-1-1-1-1-1-1-1-1111-1-1-1ii−i−iiii−i−i−iiii−i−i−i-11-11-11−ii−ii−ii1111-1-11-1-111111i−i-1ii−i−i11111111-1-1-1-1-1-1-1-1-1-1111-1-1-1ii−i−iiii−i−i−iiii−i−i−i-11-11-11−ii−ii−ii
χ151111-1-11-1-111111−ii-1−i−iii11111111-1-1-1-1-1-1-1-1-1-1111-1-1-1−i−iii−i−i−iiii−i−i−iiii1-11-11-1−ii−ii−ii1111-1-11-1-111111−ii-1−i−iii11111111-1-1-1-1-1-1-1-1-1-1111-1-1-1−i−iii−i−i−iiii−i−i−iiii1-11-11-1−ii−ii−ii
χ161111-1-11-1-111111−ii-1−i−iii11111111-1-1-1-1-1-1-1-1-1-1111-1-1-1−i−iii−i−i−iiii−i−i−iiii-11-11-11i−ii−ii−i1111-1-11-1-111111−ii-1−i−iii11111111-1-1-1-1-1-1-1-1-1-1111-1-1-1−i−iii−i−i−iiii−i−i−iiii-11-11-11i−ii−ii−i
χ171111-1-11-1-1−1−i32−1+i32−1−i32−1+i321i−i-1ii−i−i1−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321+i321−i32-1-11+i321+i321−i321−i321+i321−i321−1−i32−1+i32-11+i321−i32ii−i−iζ11ζ11ζ11−ζ11−ζ11−ζ11ζ7ζ7ζ7−ζ7−ζ7−ζ71-1−1−i321+i32−1+i321−i32i−iζ11−ζ11ζ7−ζ71111-1-11-1-1−1−i32−1+i32−1−i32−1+i321i−i-1ii−i−i1−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321+i321−i32-1-11+i321+i321−i321−i321+i321−i321−1−i32−1+i32-11+i321−i32ii−i−iζ11ζ11ζ11−ζ11−ζ11−ζ11ζ7ζ7ζ7−ζ7−ζ7−ζ71-1−1−i321+i32−1+i321−i32i−iζ11−ζ11ζ7−ζ7
χ181111-1-11-1-1−1−i32−1+i32−1−i32−1+i321i−i-1ii−i−i1−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321+i321−i32-1-11+i321+i321−i321−i321+i321−i321−1−i32−1+i32-11+i321−i32ii−i−iζ11ζ11ζ11−ζ11−ζ11−ζ11ζ7ζ7ζ7−ζ7−ζ7−ζ7-111+i32−1−i321−i32−1+i32−ii−ζ11ζ11−ζ7ζ71111-1-11-1-1−1−i32−1+i32−1−i32−1+i321i−i-1ii−i−i1−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321+i321−i32-1-11+i321+i321−i321−i321+i321−i321−1−i32−1+i32-11+i321−i32ii−i−iζ11ζ11ζ11−ζ11−ζ11−ζ11ζ7ζ7ζ7−ζ7−ζ7−ζ7-111+i32−1−i321−i32−1+i32−ii−ζ11ζ11−ζ7ζ7
χ191111-1-11-1-1−1−i32−1+i32−1−i32−1+i321−ii-1−i−iii1−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321+i321−i32-1-11+i321+i321−i321−i321+i321−i321−1−i32−1+i32-11+i321−i32−i−iii−ζ11−ζ11−ζ11ζ11ζ11ζ11−ζ7−ζ7−ζ7ζ7ζ7ζ71-1−1−i321+i32−1+i321−i32−ii−ζ11ζ11−ζ7ζ71111-1-11-1-1−1−i32−1+i32−1−i32−1+i321−ii-1−i−iii1−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321+i321−i32-1-11+i321+i321−i321−i321+i321−i321−1−i32−1+i32-11+i321−i32−i−iii−ζ11−ζ11−ζ11ζ11ζ11ζ11−ζ7−ζ7−ζ7ζ7ζ7ζ71-1−1−i321+i32−1+i321−i32−ii−ζ11ζ11−ζ7ζ7
χ201111-1-11-1-1−1−i32−1+i32−1−i32−1+i321−ii-1−i−iii1−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321+i321−i32-1-11+i321+i321−i321−i321+i321−i321−1−i32−1+i32-11+i321−i32−i−iii−ζ11−ζ11−ζ11ζ11ζ11ζ11−ζ7−ζ7−ζ7ζ7ζ7ζ7-111+i32−1−i321−i32−1+i32i−iζ11−ζ11ζ7−ζ71111-1-11-1-1−1−i32−1+i32−1−i32−1+i321−ii-1−i−iii1−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321+i321−i32-1-11+i321+i321−i321−i321+i321−i321−1−i32−1+i32-11+i321−i32−i−iii−ζ11−ζ11−ζ11ζ11ζ11ζ11−ζ7−ζ7−ζ7ζ7ζ7ζ7-111+i32−1−i321−i32−1+i32i−iζ11−ζ11ζ7−ζ7
χ211111-1-11-1-1−1+i32−1−i32−1+i32−1−i321i−i-1ii−i−i1−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−i321+i32-1-11−i321−i321+i321+i321−i321+i321−1+i32−1−i32-11−i321+i32ii−i−iζ7ζ7ζ7−ζ7−ζ7−ζ7ζ11ζ11ζ11−ζ11−ζ11−ζ111-1−1+i321−i32−1−i321+i32i−iζ7−ζ7ζ11−ζ111111-1-11-1-1−1+i32−1−i32−1+i32−1−i321i−i-1ii−i−i1−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−i321+i32-1-11−i321−i321+i321+i321−i321+i321−1+i32−1−i32-11−i321+i32ii−i−iζ7ζ7ζ7−ζ7−ζ7−ζ7ζ11ζ11ζ11−ζ11−ζ11−ζ111-1−1+i321−i32−1−i321+i32i−iζ7−ζ7ζ11−ζ11
χ221111-1-11-1-1−1+i32−1−i32−1+i32−1−i321i−i-1ii−i−i1−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−i321+i32-1-11−i321−i321+i321+i321−i321+i321−1+i32−1−i32-11−i321+i32ii−i−iζ7ζ7ζ7−ζ7−ζ7−ζ7ζ11ζ11ζ11−ζ11−ζ11−ζ11-111−i32−1+i321+i32−1−i32−ii−ζ7ζ7−ζ11ζ111111-1-11-1-1−1+i32−1−i32−1+i32−1−i321i−i-1ii−i−i1−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−i321+i32-1-11−i321−i321+i321+i321−i321+i321−1+i32−1−i32-11−i321+i32ii−i−iζ7ζ7ζ7−ζ7−ζ7−ζ7ζ11ζ11ζ11−ζ11−ζ11−ζ11-111−i32−1+i321+i32−1−i32−ii−ζ7ζ7−ζ11ζ11
χ231111-1-11-1-1−1+i32−1−i32−1+i32−1−i321−ii-1−i−iii1−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−i321+i32-1-11−i321−i321+i321+i321−i321+i321−1+i32−1−i32-11−i321+i32−i−iii−ζ7−ζ7−ζ7ζ7ζ7ζ7−ζ11−ζ11−ζ11ζ11ζ11ζ111-1−1+i321−i32−1−i321+i32−ii−ζ7ζ7−ζ11ζ111111-1-11-1-1−1+i32−1−i32−1+i32−1−i321−ii-1−i−iii1−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−i321+i32-1-11−i321−i321+i321+i321−i321+i321−1+i32−1−i32-11−i321+i32−i−iii−ζ7−ζ7−ζ7ζ7ζ7ζ7−ζ11−ζ11−ζ11ζ11ζ11ζ111-1−1+i321−i32−1−i321+i32−ii−ζ7ζ7−ζ11ζ11
χ241111-1-11-1-1−1+i32−1−i32−1+i32−1−i321−ii-1−i−iii1−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−i321+i32-1-11−i321−i321+i321+i321−i321+i321−1+i32−1−i32-11−i321+i32−i−iii−ζ7−ζ7−ζ7ζ7ζ7ζ7−ζ11−ζ11−ζ11ζ11ζ11ζ11-111−i32−1+i321+i32−1−i32i−iζ7−ζ7ζ11−ζ111111-1-11-1-1−1+i32−1−i32−1+i32−1−i321−ii-1−i−iii1−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−i321+i32-1-11−i321−i321+i321+i321−i321+i321−1+i32−1−i32-11−i321+i32−i−iii−ζ7−ζ7−ζ7ζ7ζ7ζ7−ζ11−ζ11−ζ11ζ11ζ11ζ11-111−i32−1+i321+i32−1−i32i−iζ7−ζ7ζ11−ζ11
χ25222222222222222222222-1-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12-1-12-1-12-1-12-1-1000000000000222222222222222222222-1-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12-1-12-1-12-1-12-1-1000000000000
χ2622222222222222-2-22-2-2-2-2-1-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-11111-211-211-211-21100000000000022222222222222-2-22-2-2-2-2-1-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-11111-211-211-211-211000000000000
χ27222222222−1−i3−1+i3−1−i3−1+i322222222-11+i321−i32−1−i3−1+i3-11+i321−i32−1−i3−1+i3-1-11+i321+i321−i321−i32−1−i3−1+i3-11+i321−i32-11+i321−i32-1-1-1-1−1−i31+i321+i32−1−i31+i321+i32−1+i31−i321−i32−1+i31−i321−i32000000000000222222222−1−i3−1+i3−1−i3−1+i322222222-11+i321−i32−1−i3−1+i3-11+i321−i32−1−i3−1+i3-1-11+i321+i321−i321−i32−1−i3−1+i3-11+i321−i32-11+i321−i32-1-1-1-1−1−i31+i321+i32−1−i31+i321+i32−1+i31−i321−i32−1+i31−i321−i32000000000000
χ28222222222−1−i3−1+i3−1−i3−1+i32-2-22-2-2-2-2-11+i321−i32−1−i3−1+i3-11+i321−i32−1−i3−1+i3-1-11+i321+i321−i321−i32−1−i3−1+i3-11+i321−i32-11+i321−i3211111+i3−1−i32−1−i321+i3−1−i32−1−i321−i3−1+i32−1+i321−i3−1+i32−1+i32000000000000222222222−1−i3−1+i3−1−i3−1+i32-2-22-2-2-2-2-11+i321−i32−1−i3−1+i3-11+i321−i32−1−i3−1+i3-1-11+i321+i321−i321−i32−1−i3−1+i3-11+i321−i32-11+i321−i3211111+i3−1−i32−1−i321+i3−1−i32−1−i321−i3−1+i32−1+i321−i3−1+i32−1+i32000000000000
χ29222222222−1+i3−1−i3−1+i3−1−i322222222-11−i321+i32−1+i3−1−i3-11−i321+i32−1+i3−1−i3-1-11−i321−i321+i321+i32−1+i3−1−i3-11−i321+i32-11−i321+i32-1-1-1-1−1+i31−i321−i32−1+i31−i321−i32−1−i31+i321+i32−1−i31+i321+i32000000000000222222222−1+i3−1−i3−1+i3−1−i322222222-11−i321+i32−1+i3−1−i3-11−i321+i32−1+i3−1−i3-1-11−i321−i321+i321+i32−1+i3−1−i3-11−i321+i32-11−i321+i32-1-1-1-1−1+i31−i321−i32−1+i31−i321−i32−1−i31+i321+i32−1−i31+i321+i32000000000000
χ30222222222−1+i3−1−i3−1+i3−1−i32-2-22-2-2-2-2-11−i321+i32−1+i3−1−i3-11−i321+i32−1+i3−1−i3-1-11−i321−i321+i321+i32−1+i3−1−i3-11−i321+i32-11−i321+i3211111−i3−1+i32−1+i321−i3−1+i32−1+i321+i3−1−i32−1−i321+i3−1−i32−1−i32000000000000222222222−1+i3−1−i3−1+i3−1−i32-2-22-2-2-2-2-11−i321+i32−1+i3−1−i3-11−i321+i32−1+i3−1−i3-1-11−i321−i321+i321+i32−1+i3−1−i3-11−i321+i32-11−i321+i3211111−i3−1+i32−1+i321−i3−1+i32−1+i321+i3−1−i32−1−i321+i3−1−i32−1−i32000000000000
χ312222-2-22-2-2222222i−2i-22i2i−2i−2i-1-1-122-1-1-1-2-2111111-2-2-1-1-1111−i−iii2i−i−i−2iii2i−i−i−2iii0000000000002222-2-22-2-2222222i−2i-22i2i−2i−2i-1-1-122-1-1-1-2-2111111-2-2-1-1-1111−i−iii2i−i−i−2iii2i−i−i−2iii000000000000
χ322222-2-22-2-222222−2i2i-2−2i−2i2i2i-1-1-122-1-1-1-2-2111111-2-2-1-1-1111ii−i−i−2iii2i−i−i−2iii2i−i−i0000000000002222-2-22-2-222222−2i2i-2−2i−2i2i2i-1-1-122-1-1-1-2-2111111-2-2-1-1-1111ii−i−i−2iii2i−i−i−2iii2i−i−i000000000000
χ332222-2-22-2-2−1−i3−1+i3−1−i3−1+i322i−2i-22i2i−2i−2i-11+i321−i32−1−i3−1+i3-11+i321−i321+i31−i311−1−i32−1−i32−1+i32−1+i321+i31−i3-11+i321−i321−1−i32−1+i32−i−iii2ζ11−ζ11−ζ11−2ζ11ζ11ζ112ζ7−ζ7−ζ7−2ζ7ζ7ζ70000000000002222-2-22-2-2−1−i3−1+i3−1−i3−1+i322i−2i-22i2i−2i−2i-11+i321−i32−1−i3−1+i3-11+i321−i321+i31−i311−1−i32−1−i32−1+i32−1+i321+i31−i3-11+i321−i321−1−i32−1+i32−i−iii2ζ11−ζ11−ζ11−2ζ11ζ11ζ112ζ7−ζ7−ζ7−2ζ7ζ7ζ7000000000000
χ342222-2-22-2-2−1−i3−1+i3−1−i3−1+i32−2i2i-2−2i−2i2i2i-11+i321−i32−1−i3−1+i3-11+i321−i321+i31−i311−1−i32−1−i32−1+i32−1+i321+i31−i3-11+i321−i321−1−i32−1+i32ii−i−i−2ζ11ζ11ζ112ζ11−ζ11−ζ11−2ζ7ζ7ζ72ζ7−ζ7−ζ70000000000002222-2-22-2-2−1−i3−1+i3−1−i3−1+i32−2i2i-2−2i−2i2i2i-11+i321−i32−1−i3−1+i3-11+i321−i321+i31−i311−1−i32−1−i32−1+i32−1+i321+i31−i3-11+i321−i321−1−i32−1+i32ii−i−i−2ζ11ζ11ζ112ζ11−ζ11−ζ11−2ζ7ζ7ζ72ζ7−ζ7−ζ7000000000000
χ352222-2-22-2-2−1+i3−1−i3−1+i3−1−i322i−2i-22i2i−2i−2i-11−i321+i32−1+i3−1−i3-11−i321+i321−i31+i311−1+i32−1+i32−1−i32−1−i321−i31+i3-11−i321+i321−1+i32−1−i32−i−iii2ζ7−ζ7−ζ7−2ζ7ζ7ζ72ζ11−ζ11−ζ11−2ζ11ζ11ζ110000000000002222-2-22-2-2−1+i3−1−i3−1+i3−1−i322i−2i-22i2i−2i−2i-11−i321+i32−1+i3−1−i3-11−i321+i321−i31+i311−1+i32−1+i32−1−i32−1−i321−i31+i3-11−i321+i321−1+i32−1−i32−i−iii2ζ7−ζ7−ζ7−2ζ7ζ7ζ72ζ11−ζ11−ζ11−2ζ11ζ11ζ11000000000000
χ362222-2-22-2-2−1+i3−1−i3−1+i3−1−i32−2i2i-2−2i−2i2i2i-11−i321+i32−1+i3−1−i3-11−i321+i321−i31+i311−1+i32−1+i32−1−i32−1−i321−i31+i3-11−i321+i321−1+i32−1−i32ii−i−i−2ζ7ζ7ζ72ζ7−ζ7−ζ7−2ζ11ζ11ζ112ζ11−ζ11−ζ110000000000002222-2-22-2-2−1+i3−1−i3−1+i3−1−i32−2i2i-2−2i−2i2i2i-11−i321+i32−1+i3−1−i3-11−i321+i321−i31+i311−1+i32−1+i32−1−i32−1−i321−i31+i3-11−i321+i321−1+i32−1−i32ii−i−i−2ζ7ζ7ζ72ζ7−ζ7−ζ7−2ζ11ζ11ζ112ζ11−ζ11−ζ11000000000000
χ3722-222-22222222-200-20000222-2-222222222222-2-2-2-2-2-2-2-2000000000000000000000000000022-222-22222222-200-20000222-2-222222222222-2-2-2-2-2-2-2-20000000000000000000000000000
χ3822-222-22222222-200-20000-1-1-1-2-2-1-1-122-1-1-1-1-1-1-2-2111111−i3i3−i3i30−i3i30−i3i30−i3i30−i3i300000000000022-222-22222222-200-20000-1-1-1-2-2-1-1-122-1-1-1-1-1-1-2-2111111−i3i3−i3i30−i3i30−i3i30−i3i30−i3i3000000000000
χ3922-222-22222222-200-20000-1-1-1-2-2-1-1-122-1-1-1-1-1-1-2-2111111i3−i3i3−i30i3−i30i3−i30i3−i30i3−i300000000000022-222-22222222-200-20000-1-1-1-2-2-1-1-122-1-1-1-1-1-1-2-2111111i3−i3i3−i30i3−i30i3−i30i3−i30i3−i3000000000000
χ4022-222-2222−1−i3−1+i3−1−i3−1+i3-200-200002−1−i3−1+i31+i31−i32−1−i3−1+i3−1−i3−1+i322−1−i3−1−i3−1+i3−1+i31+i31−i3-21+i31−i3-21+i31−i3000000000000000000000000000022-222-2222−1−i3−1+i3−1−i3−1+i3-200-200002−1−i3−1+i31+i31−i32−1−i3−1+i3−1−i3−1+i322−1−i3−1−i3−1+i3−1+i31+i31−i3-21+i31−i3-21+i31−i30000000000000000000000000000
χ4122-222-2222−1−i3−1+i3−1−i3−1+i3-200-20000-11+i321−i321+i31−i3-11+i321−i32−1−i3−1+i3-1-11+i321+i321−i321−i321+i31−i31−1−i32−1+i321−1−i32−1+i32−i3i3−i3i30−3+i323−i320−3+i323−i3203+i32−3−i3203+i32−3−i3200000000000022-222-2222−1−i3−1+i3−1−i3−1+i3-200-20000-11+i321−i321+i31−i3-11+i321−i32−1−i3−1+i3-1-11+i321+i321−i321−i321+i31−i31−1−i32−1+i321−1−i32−1+i32−i3i3−i3i30−3+i323−i320−3+i323−i3203+i32−3−i3203+i32−3−i32000000000000
χ4222-222-2222−1−i3−1+i3−1−i3−1+i3-200-20000-11+i321−i321+i31−i3-11+i321−i32−1−i3−1+i3-1-11+i321+i321−i321−i321+i31−i31−1−i32−1+i321−1−i32−1+i32i3−i3i3−i303−i32−3+i3203−i32−3+i320−3−i323+i320−3−i323+i3200000000000022-222-2222−1−i3−1+i3−1−i3−1+i3-200-20000-11+i321−i321+i31−i3-11+i321−i32−1−i3−1+i3-1-11+i321+i321−i321−i321+i31−i31−1−i32−1+i321−1−i32−1+i32i3−i3i3−i303−i32−3+i3203−i32−3+i320−3−i323+i320−3−i323+i32000000000000
χ4322-222-2222−1+i3−1−i3−1+i3−1−i3-200-200002−1+i3−1−i31−i31+i32−1+i3−1−i3−1+i3−1−i322−1+i3−1+i3−1−i3−1−i31−i31+i3-21−i31+i3-21−i31+i3000000000000000000000000000022-222-2222−1+i3−1−i3−1+i3−1−i3-200-200002−1+i3−1−i31−i31+i32−1+i3−1−i3−1+i3−1−i322−1+i3−1+i3−1−i3−1−i31−i31+i3-21−i31+i3-21−i31+i30000000000000000000000000000
χ4422-222-2222−1+i3−1−i3−1+i3−1−i3-200-20000-11−i321+i321−i31+i3-11−i321+i32−1+i3−1−i3-1-11−i321−i321+i321+i321−i31+i31−1+i32−1−i321−1+i32−1−i32−i3i3−i3i303+i32−3−i3203+i32−3−i320−3+i323−i320−3+i323−i3200000000000022-222-2222−1+i3−1−i3−1+i3−1−i3-200-20000-11−i321+i321−i31+i3-11−i321+i32−1+i3−1−i3-1-11−i321−i321+i321+i321−i31+i31−1+i32−1−i321−1+i32−1−i32−i3i3−i3i303+i32−3−i3203+i32−3−i320−3+i323−i320−3+i323−i32000000000000
χ4522-222-2222−1+i3−1−i3−1+i3−1−i3-200-20000-11−i321+i321−i31+i3-11−i321+i32−1+i3−1−i3-1-11−i321−i321+i321+i321−i31+i31−1+i32−1−i321−1+i32−1−i32i3−i3i3−i30−3−i323+i320−3−i323+i3203−i32−3+i3203−i32−3+i3200000000000022-222-2222−1+i3−1−i3−1+i3−1−i3-200-20000-11−i321+i321−i31+i3-11−i321+i32−1+i3−1−i3-1-11−i321−i321+i321+i321−i31+i31−1+i32−1−i321−1+i32−1−i32i3−i3i3−i30−3−i323+i320−3−i323+i3203−i32−3+i3203−i32−3+i32000000000000
χ4622-22-222-2-22222-20020000222-2-2222-2-2-2-2-2-2-2-222-2-2-2222000000000000000000000000000022-22-222-2-22222-20020000222-2-2222-2-2-2-2-2-2-2-222-2-2-22220000000000000000000000000000
χ4722-22-222-2-22222-20020000-1-1-1-2-2-1-1-1-2-211111122111-1-1-13−3−3303−30−3303−30−3300000000000022-22-222-2-22222-20020000-1-1-1-2-2-1-1-1-2-211111122111-1-1-13−3−3303−30−3303−30−33000000000000
χ4822-22-222-2-22222-20020000-1-1-1-2-2-1-1-1-2-211111122111-1-1-1−333−30−3303−30−3303−300000000000022-22-222-2-22222-20020000-1-1-1-2-2-1-1-1-2-211111122111-1-1-1−333−30−3303−30−3303−3000000000000
χ4922-22-222-2-2−1−i3−1+i3−1−i3−1+i3-200200002−1−i3−1+i31+i31−i32−1−i3−1+i31+i31−i3-2-21+i31+i31−i31−i3−1−i3−1+i3-21+i31−i32−1−i3−1+i3000000000000000000000000000022-22-222-2-2−1−i3−1+i3−1−i3−1+i3-200200002−1−i3−1+i31+i31−i32−1−i3−1+i31+i31−i3-2-21+i31+i31−i31−i3−1−i3−1+i3-21+i31−i32−1−i3−1+i30000000000000000000000000000
χ5022-22-222-2-2−1−i3−1+i3−1−i3−1+i3-20020000-11+i321−i321+i31−i3-11+i321−i321+i31−i311−1−i32−1−i32−1+i32−1+i32−1−i3−1+i31−1−i32−1+i32-11+i321−i323−3−3302ζ7+ζ11−2ζ7−ζ110−2ζ7−ζ112ζ7+ζ110−ζ7−2ζ11ζ7+2ζ110ζ7+2ζ11−ζ7−2ζ1100000000000022-22-222-2-2−1−i3−1+i3−1−i3−1+i3-20020000-11+i321−i321+i31−i3-11+i321−i321+i31−i311−1−i32−1−i32−1+i32−1+i32−1−i3−1+i31−1−i32−1+i32-11+i321−i323−3−3302ζ7+ζ11−2ζ7−ζ110−2ζ7−ζ112ζ7+ζ110−ζ7−2ζ11ζ7+2ζ110ζ7+2ζ11−ζ7−2ζ11000000000000
χ5122-22-222-2-2−1−i3−1+i3−1−i3−1+i3-20020000-11+i321−i321+i31−i3-11+i321−i321+i31−i311−1−i32−1−i32−1+i32−1+i32−1−i3−1+i31−1−i32−1+i32-11+i321−i32−333−30−2ζ7−ζ112ζ7+ζ1102ζ7+ζ11−2ζ7−ζ110ζ7+2ζ11−ζ7−2ζ110−ζ7−2ζ11ζ7+2ζ1100000000000022-22-222-2-2−1−i3−1+i3−1−i3−1+i3-20020000-11+i321−i321+i31−i3-11+i321−i321+i31−i311−1−i32−1−i32−1+i32−1+i32−1−i3−1+i31−1−i32−1+i32-11+i321−i32−333−30−2ζ7−ζ112ζ7+ζ1102ζ7+ζ11−2ζ7−ζ110ζ7+2ζ11−ζ7−2ζ110−ζ7−2ζ11ζ7+2ζ11000000000000
χ5222-22-222-2-2−1+i3−1−i3−1+i3−1−i3-200200002−1+i3−1−i31−i31+i32−1+i3−1−i31−i31+i3-2-21−i31−i31+i31+i3−1+i3−1−i3-21−i31+i32−1+i3−1−i3000000000000000000000000000022-22-222-2-2−1+i3−1−i3−1+i3−1−i3-200200002−1+i3−1−i31−i31+i32−1+i3−1−i31−i31+i3-2-21−i31−i31+i31+i3−1+i3−1−i3-21−i31+i32−1+i3−1−i30000000000000000000000000000
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χ5422-22-222-2-2−1+i3−1−i3−1+i3−1−i3-20020000-11−i321+i321−i31+i3-11−i321+i321−i31+i311−1+i32−1+i32−1−i32−1−i32−1+i3−1−i31−1+i32−1−i32-11−i321+i32−333−30ζ7+2ζ11−ζ7−2ζ110−ζ7−2ζ11ζ7+2ζ110−2ζ7−ζ112ζ7+ζ1102ζ7+ζ11−2ζ7−ζ1100000000000022-22-222-2-2−1+i3−1−i3−1+i3−1−i3-20020000-11−i321+i321−i31+i3-11−i321+i321−i31+i311−1+i32−1+i32−1−i32−1−i32−1+i3−1−i31−1+i32−1−i32-11−i321+i32−333−30ζ7+2ζ11−ζ7−2ζ110−ζ7−2ζ11ζ7+2ζ110−2ζ7−ζ112ζ7+ζ1102ζ7+ζ11−2ζ7−ζ11000000000000
χ554-40400-40044-4-40000000044400-4-4-4000000000000000000000000000000000000000000004-40400-40044-4-40000000044400-4-4-400000000000000000000000000000000000000000000
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χ751111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ7611111111111111-1-11-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1111111
χ7711111111111111-1-11-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1
χ78111111111−1−i32−1+i32−1−i32−1+i32111111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321111−1−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+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-1-1-1-1-1-11+i321−i321+i321−i32-11+i321−i321+i321−i32-1-11+i321+i321−i321−i321+i321−i32-11+i321−i32-11+i321−i32-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32
χ79111111111−1−i32−1+i32−1−i32−1+i32111111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-1-1-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-1-1-1-1-1-11+i321−i321+i321−i32-11+i321−i321+i321−i32-1-11+i321+i321−i321−i321+i321−i32-11+i321−i32-11+i321−i32-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32
χ80111111111−1−i32−1+i32−1−i32−1+i321-1-11-1-1-1-11−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32-1-1-1-1-1-1-1-1-11+i321−i321+i321−i32-111-11111-11+i321−i321+i321−i32-11+i321−i321+i321−i32-1-11+i321+i321−i321−i321+i321−i32-11+i321−i32-11+i321−i321111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32
χ81111111111−1−i32−1+i32−1−i32−1+i321-1-11-1-1-1-11−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1-1-1-11+i321−i321+i321−i32-111-11111-11+i321−i321+i321−i32-11+i321−i321+i321−i32-1-11+i321+i321−i321−i321+i321−i32-11+i321−i32-11+i321−i321111−1−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+i32-1-11+i321+i321−i321−i32
χ82111111111−1+i32−1−i32−1+i32−1−i32111111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321111−1+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−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-1-1-1-11−i321+i321−i321+i32-11−i321+i321−i321+i32-1-11−i321−i321+i321+i321−i321+i32-11−i321+i32-11−i321+i32-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32
χ83111111111−1+i32−1−i32−1+i32−1−i32111111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32-1-1-1-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-1-1-1-11−i321+i321−i321+i32-11−i321+i321−i321+i32-1-11−i321−i321+i321+i321−i321+i32-11−i321+i32-11−i321+i32-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32
χ84111111111−1+i32−1−i32−1+i32−1−i321-1-11-1-1-1-11−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32-1-1-1-1-1-1-1-1-11−i321+i321−i321+i32-111-11111-11−i321+i321−i321+i32-11−i321+i321−i321+i32-1-11−i321−i321+i321+i321−i321+i32-11−i321+i32-11−i321+i321111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32
χ85111111111−1+i32−1−i32−1+i32−1−i321-1-11-1-1-1-11−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1-1-1-11−i321+i321−i321+i32-111-11111-11−i321+i321−i321+i32-11−i321+i321−i321+i32-1-11−i321−i321+i321+i321−i321+i32-11−i321+i32-11−i321+i321111−1+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−i32-1-11−i321−i321+i321+i32
χ861111-1-11-1-111111i−i-1ii−i−i11111111-1-1-1-1-1-1-1-1-1-1111-1-1-1ii−i−iiii−i−i−iiii−i−i−i1-11-11-1i−ii−ii−i-1-1-1-111-111-1-1-1-1-1−ii1−i−iii-1-1-1-1-1-1-1-11111111111-1-1-1111−i−iii−i−i−iiii−i−i−iiii-11-11-11−ii−ii−ii
χ871111-1-11-1-111111i−i-1ii−i−i11111111-1-1-1-1-1-1-1-1-1-1111-1-1-1ii−i−iiii−i−i−iiii−i−i−i-11-11-11−ii−ii−ii-1-1-1-111-111-1-1-1-1-1−ii1−i−iii-1-1-1-1-1-1-1-11111111111-1-1-1111−i−iii−i−i−iiii−i−i−iiii1-11-11-1i−ii−ii−i
χ881111-1-11-1-111111−ii-1−i−iii11111111-1-1-1-1-1-1-1-1-1-1111-1-1-1−i−iii−i−i−iiii−i−i−iiii1-11-11-1−ii−ii−ii-1-1-1-111-111-1-1-1-1-1i−i1ii−i−i-1-1-1-1-1-1-1-11111111111-1-1-1111ii−i−iiii−i−i−iiii−i−i−i-11-11-11i−ii−ii−i
χ891111-1-11-1-111111−ii-1−i−iii11111111-1-1-1-1-1-1-1-1-1-1111-1-1-1−i−iii−i−i−iiii−i−i−iiii-11-11-11i−ii−ii−i-1-1-1-111-111-1-1-1-1-1i−i1ii−i−i-1-1-1-1-1-1-1-11111111111-1-1-1111ii−i−iiii−i−i−iiii−i−i−i1-11-11-1−ii−ii−ii
χ901111-1-11-1-1−1−i32−1+i32−1−i32−1+i321i−i-1ii−i−i1−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321+i321−i32-1-11+i321+i321−i321−i321+i321−i321−1−i32−1+i32-11+i321−i32ii−i−iζ11ζ11ζ11−ζ11−ζ11−ζ11ζ7ζ7ζ7−ζ7−ζ7−ζ71-1−1−i321+i32−1+i321−i32i−iζ11−ζ11ζ7−ζ7-1-1-1-111-1111+i321−i321+i321−i32-1−ii1−i−iii-11+i321−i321+i321−i32-11+i321−i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-11+i321−i321−1−i32−1+i32−i−iii−ζ11−ζ11−ζ11ζ11ζ11ζ11−ζ7−ζ7−ζ7ζ7ζ7ζ7-111+i32−1−i321−i32−1+i32−ii−ζ11ζ11−ζ7ζ7
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χ941111-1-11-1-1−1+i32−1−i32−1+i32−1−i321i−i-1ii−i−i1−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−i321+i32-1-11−i321−i321+i321+i321−i321+i321−1+i32−1−i32-11−i321+i32ii−i−iζ7ζ7ζ7−ζ7−ζ7−ζ7ζ11ζ11ζ11−ζ11−ζ11−ζ111-1−1+i321−i32−1−i321+i32i−iζ7−ζ7ζ11−ζ11-1-1-1-111-1111−i321+i321−i321+i32-1−ii1−i−iii-11−i321+i321−i321+i32-11−i321+i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-11−i321+i321−1+i32−1−i32−i−iii−ζ7−ζ7−ζ7ζ7ζ7ζ7−ζ11−ζ11−ζ11ζ11ζ11ζ11-111−i32−1+i321+i32−1−i32−ii−ζ7ζ7−ζ11ζ11
χ951111-1-11-1-1−1+i32−1−i32−1+i32−1−i321i−i-1ii−i−i1−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−i321+i32-1-11−i321−i321+i321+i321−i321+i321−1+i32−1−i32-11−i321+i32ii−i−iζ7ζ7ζ7−ζ7−ζ7−ζ7ζ11ζ11ζ11−ζ11−ζ11−ζ11-111−i32−1+i321+i32−1−i32−ii−ζ7ζ7−ζ11ζ11-1-1-1-111-1111−i321+i321−i321+i32-1−ii1−i−iii-11−i321+i321−i321+i32-11−i321+i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-11−i321+i321−1+i32−1−i32−i−iii−ζ7−ζ7−ζ7ζ7ζ7ζ7−ζ11−ζ11−ζ11ζ11ζ11ζ111-1−1+i321−i32−1−i321+i32i−iζ7−ζ7ζ11−ζ11
χ961111-1-11-1-1−1+i32−1−i32−1+i32−1−i321−ii-1−i−iii1−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−i321+i32-1-11−i321−i321+i321+i321−i321+i321−1+i32−1−i32-11−i321+i32−i−iii−ζ7−ζ7−ζ7ζ7ζ7ζ7−ζ11−ζ11−ζ11ζ11ζ11ζ111-1−1+i321−i32−1−i321+i32−ii−ζ7ζ7−ζ11ζ11-1-1-1-111-1111−i321+i321−i321+i32-1i−i1ii−i−i-11−i321+i321−i321+i32-11−i321+i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-11−i321+i321−1+i32−1−i32ii−i−iζ7ζ7ζ7−ζ7−ζ7−ζ7ζ11ζ11ζ11−ζ11−ζ11−ζ11-111−i32−1+i321+i32−1−i32i−iζ7−ζ7ζ11−ζ11
χ971111-1-11-1-1−1+i32−1−i32−1+i32−1−i321−ii-1−i−iii1−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−i321+i32-1-11−i321−i321+i321+i321−i321+i321−1+i32−1−i32-11−i321+i32−i−iii−ζ7−ζ7−ζ7ζ7ζ7ζ7−ζ11−ζ11−ζ11ζ11ζ11ζ11-111−i32−1+i321+i32−1−i32i−iζ7−ζ7ζ11−ζ11-1-1-1-111-1111−i321+i321−i321+i32-1i−i1ii−i−i-11−i321+i321−i321+i32-11−i321+i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-11−i321+i321−1+i32−1−i32ii−i−iζ7ζ7ζ7−ζ7−ζ7−ζ7ζ11ζ11ζ11−ζ11−ζ11−ζ111-1−1+i321−i32−1−i321+i32−ii−ζ7ζ7−ζ11ζ11
χ98222222222222222222222-1-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12-1-12-1-12-1-12-1-1000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111-2-2111-2-2111111-2-21111111111-211-211-211-211000000000000
χ9922222222222222-2-22-2-2-2-2-1-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-11111-211-211-211-211000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-222-22222111-2-2111-2-2111111-2-2111111-1-1-1-12-1-12-1-12-1-12-1-1000000000000
χ100222222222−1−i3−1+i3−1−i3−1+i322222222-11+i321−i32−1−i3−1+i3-11+i321−i32−1−i3−1+i3-1-11+i321+i321−i321−i32−1−i3−1+i3-11+i321−i32-11+i321−i32-1-1-1-1−1−i31+i321+i32−1−i31+i321+i32−1+i31−i321−i32−1+i31−i321−i32000000000000-2-2-2-2-2-2-2-2-21+i31−i31+i31−i3-2-2-2-2-2-2-2-21−1−i32−1+i321+i31−i31−1−i32−1+i321+i31−i311−1−i32−1−i32−1+i32−1+i321+i31−i31−1−i32−1+i321−1−i32−1+i3211111+i3−1−i32−1−i321+i3−1−i32−1−i321−i3−1+i32−1+i321−i3−1+i32−1+i32000000000000
χ101222222222−1−i3−1+i3−1−i3−1+i32-2-22-2-2-2-2-11+i321−i32−1−i3−1+i3-11+i321−i32−1−i3−1+i3-1-11+i321+i321−i321−i32−1−i3−1+i3-11+i321−i32-11+i321−i3211111+i3−1−i32−1−i321+i3−1−i32−1−i321−i3−1+i32−1+i321−i3−1+i32−1+i32000000000000-2-2-2-2-2-2-2-2-21+i31−i31+i31−i3-222-222221−1−i32−1+i321+i31−i31−1−i32−1+i321+i31−i311−1−i32−1−i32−1+i32−1+i321+i31−i31−1−i32−1+i321−1−i32−1+i32-1-1-1-1−1−i31+i321+i32−1−i31+i321+i32−1+i31−i321−i32−1+i31−i321−i32000000000000
χ102222222222−1+i3−1−i3−1+i3−1−i322222222-11−i321+i32−1+i3−1−i3-11−i321+i32−1+i3−1−i3-1-11−i321−i321+i321+i32−1+i3−1−i3-11−i321+i32-11−i321+i32-1-1-1-1−1+i31−i321−i32−1+i31−i321−i32−1−i31+i321+i32−1−i31+i321+i32000000000000-2-2-2-2-2-2-2-2-21−i31+i31−i31+i3-2-2-2-2-2-2-2-21−1+i32−1−i321−i31+i31−1+i32−1−i321−i31+i311−1+i32−1+i32−1−i32−1−i321−i31+i31−1+i32−1−i321−1+i32−1−i3211111−i3−1+i32−1+i321−i3−1+i32−1+i321+i3−1−i32−1−i321+i3−1−i32−1−i32000000000000
χ103222222222−1+i3−1−i3−1+i3−1−i32-2-22-2-2-2-2-11−i321+i32−1+i3−1−i3-11−i321+i32−1+i3−1−i3-1-11−i321−i321+i321+i32−1+i3−1−i3-11−i321+i32-11−i321+i3211111−i3−1+i32−1+i321−i3−1+i32−1+i321+i3−1−i32−1−i321+i3−1−i32−1−i32000000000000-2-2-2-2-2-2-2-2-21−i31+i31−i31+i3-222-222221−1+i32−1−i321−i31+i31−1+i32−1−i321−i31+i311−1+i32−1+i32−1−i32−1−i321−i31+i31−1+i32−1−i321−1+i32−1−i32-1-1-1-1−1+i31−i321−i32−1+i31−i321−i32−1−i31+i321+i32−1−i31+i321+i32000000000000
χ1042222-2-22-2-2222222i−2i-22i2i−2i−2i-1-1-122-1-1-1-2-2111111-2-2-1-1-1111−i−iii2i−i−i−2iii2i−i−i−2iii000000000000-2-2-2-222-222-2-2-2-2-2−2i2i2−2i−2i2i2i111-2-211122-1-1-1-1-1-122111-1-1-1ii−i−i−2iii2i−i−i−2iii2i−i−i000000000000
χ1052222-2-22-2-222222−2i2i-2−2i−2i2i2i-1-1-122-1-1-1-2-2111111-2-2-1-1-1111ii−i−i−2iii2i−i−i−2iii2i−i−i000000000000-2-2-2-222-222-2-2-2-2-22i−2i22i2i−2i−2i111-2-211122-1-1-1-1-1-122111-1-1-1−i−iii2i−i−i−2iii2i−i−i−2iii000000000000
χ1062222-2-22-2-2−1−i3−1+i3−1−i3−1+i322i−2i-22i2i−2i−2i-11+i321−i32−1−i3−1+i3-11+i321−i321+i31−i311−1−i32−1−i32−1+i32−1+i321+i31−i3-11+i321−i321−1−i32−1+i32−i−iii2ζ11−ζ11−ζ11−2ζ11ζ11ζ112ζ7−ζ7−ζ7−2ζ7ζ7ζ7000000000000-2-2-2-222-2221+i31−i31+i31−i3-2−2i2i2−2i−2i2i2i1−1−i32−1+i321+i31−i31−1−i32−1+i32−1−i3−1+i3-1-11+i321+i321−i321−i32−1−i3−1+i31−1−i32−1+i32-11+i321−i32ii−i−i−2ζ11ζ11ζ112ζ11−ζ11−ζ11−2ζ7ζ7ζ72ζ7−ζ7−ζ7000000000000
χ1072222-2-22-2-2−1−i3−1+i3−1−i3−1+i32−2i2i-2−2i−2i2i2i-11+i321−i32−1−i3−1+i3-11+i321−i321+i31−i311−1−i32−1−i32−1+i32−1+i321+i31−i3-11+i321−i321−1−i32−1+i32ii−i−i−2ζ11ζ11ζ112ζ11−ζ11−ζ11−2ζ7ζ7ζ72ζ7−ζ7−ζ7000000000000-2-2-2-222-2221+i31−i31+i31−i3-22i−2i22i2i−2i−2i1−1−i32−1+i321+i31−i31−1−i32−1+i32−1−i3−1+i3-1-11+i321+i321−i321−i32−1−i3−1+i31−1−i32−1+i32-11+i321−i32−i−iii2ζ11−ζ11−ζ11−2ζ11ζ11ζ112ζ7−ζ7−ζ7−2ζ7ζ7ζ7000000000000
χ1082222-2-22-2-2−1+i3−1−i3−1+i3−1−i322i−2i-22i2i−2i−2i-11−i321+i32−1+i3−1−i3-11−i321+i321−i31+i311−1+i32−1+i32−1−i32−1−i321−i31+i3-11−i321+i321−1+i32−1−i32−i−iii2ζ7−ζ7−ζ7−2ζ7ζ7ζ72ζ11−ζ11−ζ11−2ζ11ζ11ζ11000000000000-2-2-2-222-2221−i31+i31−i31+i3-2−2i2i2−2i−2i2i2i1−1+i32−1−i321−i31+i31−1+i32−1−i32−1+i3−1−i3-1-11−i321−i321+i321+i32−1+i3−1−i31−1+i32−1−i32-11−i321+i32ii−i−i−2ζ7ζ7ζ72ζ7−ζ7−ζ7−2ζ11ζ11ζ112ζ11−ζ11−ζ11000000000000
χ1092222-2-22-2-2−1+i3−1−i3−1+i3−1−i32−2i2i-2−2i−2i2i2i-11−i321+i32−1+i3−1−i3-11−i321+i321−i31+i311−1+i32−1+i32−1−i32−1−i321−i31+i3-11−i321+i321−1+i32−1−i32ii−i−i−2ζ7ζ7ζ72ζ7−ζ7−ζ7−2ζ11ζ11ζ112ζ11−ζ11−ζ11000000000000-2-2-2-222-2221−i31+i31−i31+i3-22i−2i22i2i−2i−2i1−1+i32−1−i321−i31+i31−1+i32−1−i32−1+i3−1−i3-1-11−i321−i321+i321+i32−1+i3−1−i31−1+i32−1−i32-11−i321+i32−i−iii2ζ7−ζ7−ζ7−2ζ7ζ7ζ72ζ11−ζ11−ζ11−2ζ11ζ11ζ11000000000000
χ11022-222-22222222-200-20000222-2-222222222222-2-2-2-2-2-2-2-20000000000000000000000000000-2-22-2-22-2-2-2-2-2-2-220020000-2-2-222-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000
χ11122-222-22222222-200-20000-1-1-1-2-2-1-1-122-1-1-1-1-1-1-2-2111111−i3i3−i3i30−i3i30−i3i30−i3i30−i3i3000000000000-2-22-2-22-2-2-2-2-2-2-22002000011122111-2-211111122-1-1-1-1-1-1i3−i3i3−i30i3−i30i3−i30i3−i30i3−i3000000000000
χ11222-222-22222222-200-20000-1-1-1-2-2-1-1-122-1-1-1-1-1-1-2-2111111i3−i3i3−i30i3−i30i3−i30i3−i30i3−i3000000000000-2-22-2-22-2-2-2-2-2-2-22002000011122111-2-211111122-1-1-1-1-1-1−i3i3−i3i30−i3i30−i3i30−i3i30−i3i3000000000000
χ11322-222-2222−1−i3−1+i3−1−i3−1+i3-200-200002−1−i3−1+i31+i31−i32−1−i3−1+i3−1−i3−1+i322−1−i3−1−i3−1+i3−1+i31+i31−i3-21+i31−i3-21+i31−i30000000000000000000000000000-2-22-2-22-2-2-21+i31−i31+i31−i320020000-21+i31−i3−1−i3−1+i3-21+i31−i31+i31−i3-2-21+i31+i31−i31−i3−1−i3−1+i32−1−i3−1+i32−1−i3−1+i30000000000000000000000000000
χ11422-222-2222−1−i3−1+i3−1−i3−1+i3-200-20000-11+i321−i321+i31−i3-11+i321−i32−1−i3−1+i3-1-11+i321+i321−i321−i321+i31−i31−1−i32−1+i321−1−i32−1+i32−i3i3−i3i30−3+i323−i320−3+i323−i3203+i32−3−i3203+i32−3−i32000000000000-2-22-2-22-2-2-21+i31−i31+i31−i3200200001−1−i32−1+i32−1−i3−1+i31−1−i32−1+i321+i31−i311−1−i32−1−i32−1+i32−1+i32−1−i3−1+i3-11+i321−i32-11+i321−i32i3−i3i3−i303−i32−3+i3203−i32−3+i320−3−i323+i320−3−i323+i32000000000000
χ11522-222-2222−1−i3−1+i3−1−i3−1+i3-200-20000-11+i321−i321+i31−i3-11+i321−i32−1−i3−1+i3-1-11+i321+i321−i321−i321+i31−i31−1−i32−1+i321−1−i32−1+i32i3−i3i3−i303−i32−3+i3203−i32−3+i320−3−i323+i320−3−i323+i32000000000000-2-22-2-22-2-2-21+i31−i31+i31−i3200200001−1−i32−1+i32−1−i3−1+i31−1−i32−1+i321+i31−i311−1−i32−1−i32−1+i32−1+i32−1−i3−1+i3-11+i321−i32-11+i321−i32−i3i3−i3i30−3+i323−i320−3+i323−i3203+i32−3−i3203+i32−3−i32000000000000
χ11622-222-2222−1+i3−1−i3−1+i3−1−i3-200-200002−1+i3−1−i31−i31+i32−1+i3−1−i3−1+i3−1−i322−1+i3−1+i3−1−i3−1−i31−i31+i3-21−i31+i3-21−i31+i30000000000000000000000000000-2-22-2-22-2-2-21−i31+i31−i31+i320020000-21−i31+i3−1+i3−1−i3-21−i31+i31−i31+i3-2-21−i31−i31+i31+i3−1+i3−1−i32−1+i3−1−i32−1+i3−1−i30000000000000000000000000000
χ11722-222-2222−1+i3−1−i3−1+i3−1−i3-200-20000-11−i321+i321−i31+i3-11−i321+i32−1+i3−1−i3-1-11−i321−i321+i321+i321−i31+i31−1+i32−1−i321−1+i32−1−i32−i3i3−i3i303+i32−3−i3203+i32−3−i320−3+i323−i320−3+i323−i32000000000000-2-22-2-22-2-2-21−i31+i31−i31+i3200200001−1+i32−1−i32−1+i3−1−i31−1+i32−1−i321−i31+i311−1+i32−1+i32−1−i32−1−i32−1+i3−1−i3-11−i321+i32-11−i321+i32i3−i3i3−i30−3−i323+i320−3−i323+i3203−i32−3+i3203−i32−3+i32000000000000
χ11822-222-2222−1+i3−1−i3−1+i3−1−i3-200-20000-11−i321+i321−i31+i3-11−i321+i32−1+i3−1−i3-1-11−i321−i321+i321+i321−i31+i31−1+i32−1−i321−1+i32−1−i32i3−i3i3−i30−3−i323+i320−3−i323+i3203−i32−3+i3203−i32−3+i32000000000000-2-22-2-22-2-2-21−i31+i31−i31+i3200200001−1+i32−1−i32−1+i3−1−i31−1+i32−1−i321−i31+i311−1+i32−1+i32−1−i32−1−i32−1+i3−1−i3-11−i321+i32-11−i321+i32−i3i3−i3i303+i32−3−i3203+i32−3−i320−3+i323−i320−3+i323−i32000000000000
χ11922-22-222-2-22222-20020000222-2-2222-2-2-2-2-2-2-2-222-2-2-22220000000000000000000000000000-2-22-22-2-222-2-2-2-2200-20000-2-2-222-2-2-222222222-2-2222-2-2-20000000000000000000000000000
χ12022-22-222-2-22222-20020000-1-1-1-2-2-1-1-1-2-211111122111-1-1-13−3−3303−30−3303−30−33000000000000-2-22-22-2-222-2-2-2-2200-200001112211122-1-1-1-1-1-1-2-2-1-1-1111−333−30−3303−30−3303−3000000000000
χ12122-22-222-2-22222-20020000-1-1-1-2-2-1-1-1-2-211111122111-1-1-1−333−30−3303−30−3303−3000000000000-2-22-22-2-222-2-2-2-2200-200001112211122-1-1-1-1-1-1-2-2-1-1-11113−3−3303−30−3303−30−33000000000000
χ12222-22-222-2-2−1−i3−1+i3−1−i3−1+i3-200200002−1−i3−1+i31+i31−i32−1−i3−1+i31+i31−i3-2-21+i31+i31−i31−i3−1−i3−1+i3-21+i31−i32−1−i3−1+i30000000000000000000000000000-2-22-22-2-2221+i31−i31+i31−i3200-20000-21+i31−i3−1−i3−1+i3-21+i31−i3−1−i3−1+i322−1−i3−1−i3−1+i3−1+i31+i31−i32−1−i3−1+i3-21+i31−i30000000000000000000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.