Finite Group Databasebeta

← Group #13142699

Character table — Group #13142699

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146
size1111222222222222223333333344444444444444446666666666666666666666666666666666661212121212121212121212121212121212121212121212121212121212121212121212121212121212121212363636363636363636363636363636363636363636363636
order1244222344466612121212336612121212444466121212121212121212123336666666666666661212121212121212121212121212121212126666661212121212121212121212121212121212121212121212121212121212121212121212121212224444446666121212121212121212121212
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
χ311111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ5111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111−1−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+i321111−1−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+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+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+i3211111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111−1−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+i321111−1−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+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+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+i32-1-1-1-11111-1-1-1-1-1-1-1-11−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111−1−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+i321111−1−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+i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+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+i32-1-1-1-11111-1-1-1-1-1-1-1-11−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111−1−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+i321111−1−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+i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+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−i3211111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111−1+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−i321111−1+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−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−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−i3211111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111−1+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−i321111−1+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−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−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−i32-1-1-1-11111-1-1-1-1-1-1-1-11−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111−1+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−i321111−1+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−i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−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−i32-1-1-1-11111-1-1-1-1-1-1-1-11−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111−1+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−i321111−1+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−i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−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
χ1311111-1-111-1-11-1-111-1-111111111ii−i−i1-11-1iiii−i−i−i−i11111-1-11-1-11-1-11-1-1-1-11-1-11-1-111-1-111-1-111-1-11-11-11-11-11-11-1iiii−i−i−i−iiiiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−i1-11-1ii−i−i1-11-11-11-1ii−i−iii−i−i
χ1411111-1-111-1-11-1-111-1-111111111ii−i−i1-11-1iiii−i−i−i−i11111-1-11-1-11-1-11-1-1-1-11-1-11-1-111-1-111-1-111-1-11-11-11-11-11-11-1iiii−i−i−i−iiiiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−i-11-11−i−iii-11-11-11-11−i−iii−i−iii
χ1511111-1-111-1-11-1-111-1-111111111−i−iii1-11-1−i−i−i−iiiii11111-1-11-1-11-1-11-1-1-1-11-1-11-1-111-1-111-1-111-1-11-11-11-11-11-11-1−i−i−i−iiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiiiiii1-11-1−i−iii1-11-11-11-1−i−iii−i−iii
χ1611111-1-111-1-11-1-111-1-111111111−i−iii1-11-1−i−i−i−iiiii11111-1-11-1-11-1-11-1-1-1-11-1-11-1-111-1-111-1-111-1-11-11-11-11-11-11-1−i−i−i−iiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiiiiii-11-11ii−i−i-11-11-11-11ii−i−iii−i−i
χ1711111-1-111-1-11-1-111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32ii−i−i1-11-1iiii−i−i−i−i1−1−i32−1+i32−1−i32−1+i321+i321−i321-1-1−1−i321+i321+i32−1+i321−i321−i321+i321−i32−1−i321+i321+i32−1+i321−i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-1−1−i321+i32−1+i321−i321-1−1−i321+i32−1+i321−i32iiii−i−i−i−iζ11ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11ζ7ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ71-11-1ii−i−i−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32ζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7
χ1811111-1-111-1-11-1-111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32ii−i−i1-11-1iiii−i−i−i−i1−1−i32−1+i32−1−i32−1+i321+i321−i321-1-1−1−i321+i321+i32−1+i321−i321−i321+i321−i32−1−i321+i321+i32−1+i321−i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-1−1−i321+i32−1+i321−i321-1−1−i321+i32−1+i321−i32iiii−i−i−i−iζ11ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11ζ7ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7-11-11−i−iii1+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i32−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7
χ1911111-1-111-1-11-1-111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−i−iii1-11-1−i−i−i−iiiii1−1−i32−1+i32−1−i32−1+i321+i321−i321-1-1−1−i321+i321+i32−1+i321−i321−i321+i321−i32−1−i321+i321+i32−1+i321−i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-1−1−i321+i32−1+i321−i321-1−1−i321+i32−1+i321−i32−i−i−i−iiiii−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11ζ11ζ11−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7ζ7ζ71-11-1−i−iii−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7
χ2011111-1-111-1-11-1-111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−i−iii1-11-1−i−i−i−iiiii1−1−i32−1+i32−1−i32−1+i321+i321−i321-1-1−1−i321+i321+i32−1+i321−i321−i321+i321−i32−1−i321+i321+i32−1+i321−i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-1−1−i321+i32−1+i321−i321-1−1−i321+i32−1+i321−i32−i−i−i−iiiii−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11ζ11ζ11−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7ζ7ζ7-11-11ii−i−i1+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i32ζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7
χ2111111-1-111-1-11-1-111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32ii−i−i1-11-1iiii−i−i−i−i1−1+i32−1−i32−1+i32−1−i321−i321+i321-1-1−1+i321−i321−i32−1−i321+i321+i321−i321+i32−1+i321−i321−i32−1−i321+i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-1−1+i321−i32−1−i321+i321-1−1+i321−i32−1−i321+i32iiii−i−i−i−iζ7ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7ζ11ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ111-11-1ii−i−i−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32ζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11
χ2211111-1-111-1-11-1-111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32ii−i−i1-11-1iiii−i−i−i−i1−1+i32−1−i32−1+i32−1−i321−i321+i321-1-1−1+i321−i321−i32−1−i321+i321+i321−i321+i32−1+i321−i321−i32−1−i321+i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-1−1+i321−i32−1−i321+i321-1−1+i321−i32−1−i321+i32iiii−i−i−i−iζ7ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7ζ11ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11-11-11−i−iii1−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i32−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11
χ2311111-1-111-1-11-1-111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−i−iii1-11-1−i−i−i−iiiii1−1+i32−1−i32−1+i32−1−i321−i321+i321-1-1−1+i321−i321−i32−1−i321+i321+i321−i321+i32−1+i321−i321−i32−1−i321+i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-1−1+i321−i32−1−i321+i321-1−1+i321−i32−1−i321+i32−i−i−i−iiiii−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7ζ7ζ7−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11ζ11ζ111-11-1−i−iii−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11
χ2411111-1-111-1-11-1-111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−i−iii1-11-1−i−i−i−iiiii1−1+i32−1−i32−1+i32−1−i321−i321+i321-1-1−1+i321−i321−i32−1−i321+i321+i321−i321+i32−1+i321−i321−i32−1−i321+i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-1−1+i321−i32−1−i321+i321-1−1+i321−i32−1−i321+i32−i−i−i−iiiii−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7ζ7ζ7−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11ζ11ζ11-11-11ii−i−i1−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i32ζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11
χ2511-1-11111-1-1-1111-1-1-1-11111-1-1-1-11-11-111-1-111-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1111-1-1-1111-1-1-1111-1-1-1111-1-1-11-1-111-11-11-11-1-11-111-11-11-11-1
χ2611-1-11111-1-1-1111-1-1-1-11111-1-1-1-11-11-111-1-111-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1111-1-1-1111-1-1-1111-1-1-1111-1-1-1-111-1-11-11-11-111-11-1-11-11-11-11
χ2711-1-11111-1-1-1111-1-1-1-11111-1-1-1-1-11-1111-1-1-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1111-1-1-1111-1-1-1111-1-1-11111-1-11-11-111-11-1-11-11-11-11-11-11
χ2811-1-11111-1-1-1111-1-1-1-11111-1-1-1-1-11-1111-1-1-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1111-1-1-1111-1-1-1111-1-1-1111-111-11-11-1-11-111-11-11-11-11-11-1
χ2911-1-11111-1-1-1111-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-11-111-1-111-1-111-1-11−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321−i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i3211-1-111-1-1−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321-1-111-11-1−1−i321+i32−1+i321−i321+i32−1−i321−i32−1+i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32
χ3011-1-11111-1-1-1111-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-11-111-1-111-1-111-1-11−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321−i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i3211-1-111-1-1−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32-111-1-11-111+i32−1−i321−i32−1+i32−1−i321+i32−1+i321−i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i32
χ3111-1-11111-1-1-1111-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11-1111-1-1-1-111-1-1111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321−i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32-1-111-1-1111+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321-1-11-11-11−1−i321+i32−1+i321−i321+i32−1−i321−i32−1+i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i32
χ3211-1-11111-1-1-1111-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11-1111-1-1-1-111-1-1111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321−i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32-1-111-1-1111+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32-111-11-11-11+i32−1−i321−i32−1+i32−1−i321+i32−1+i321−i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32
χ3311-1-11111-1-1-1111-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-11-111-1-111-1-111-1-11−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321+i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i3211-1-111-1-1−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321-1-111-11-1−1+i321−i32−1−i321+i321−i32−1+i321+i32−1−i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32
χ3411-1-11111-1-1-1111-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-11-111-1-111-1-111-1-11−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321+i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i3211-1-111-1-1−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32-111-1-11-111−i32−1+i321+i32−1−i32−1+i321−i32−1−i321+i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i32
χ3511-1-11111-1-1-1111-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11-1111-1-1-1-111-1-1111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321+i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32-1-111-1-1111−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321-1-11-11-11−1+i321−i32−1−i321+i321−i32−1+i321+i32−1−i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i32
χ3611-1-11111-1-1-1111-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11-1111-1-1-1-111-1-1111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321+i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32-1-111-1-1111−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32-111-11-11-11−i32−1+i321+i32−1−i32−1+i321−i32−1−i321+i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32
χ3711-1-11-1-11-1111-1-1-1-1111111-1-1-1-1i−i−ii1-1-11ii−i−i−i−iii11111-1-11-1-11-1-11-1-1-1-1-111-111-1-111-1-111-1-1111-11-11-1-11-11-11ii−i−i−i−iiiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiii11-1-1i−i−ii1111-1-1-1-1i−i−iii−i−ii
χ3811-1-11-1-11-1111-1-1-1-1111111-1-1-1-1i−i−ii1-1-11ii−i−i−i−iii11111-1-11-1-11-1-11-1-1-1-1-111-111-1-111-1-111-1-1111-11-11-1-11-11-11ii−i−i−i−iiiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiii-1-111−iii−i-1-1-1-11111−iii−i−iii−i
χ3911-1-11-1-11-1111-1-1-1-1111111-1-1-1-1−iii−i1-1-11−i−iiiii−i−i11111-1-11-1-11-1-11-1-1-1-1-111-111-1-111-1-111-1-1111-11-11-1-11-11-11−i−iiiii−i−i−i−i−iiiiiii−i−i−i−i−i−iiiiiii−i−i−i11-1-1−iii−i1111-1-1-1-1−iii−i−iii−i
χ4011-1-11-1-11-1111-1-1-1-1111111-1-1-1-1−iii−i1-1-11−i−iiiii−i−i11111-1-11-1-11-1-11-1-1-1-1-111-111-1-111-1-111-1-1111-11-11-1-11-11-11−i−iiiii−i−i−i−i−iiiiiii−i−i−i−i−i−iiiiiii−i−i−i-1-111i−i−ii-1-1-1-11111i−i−iii−i−ii
χ4111-1-11-1-11-1111-1-1-1-111−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32i−i−ii1-1-11ii−i−i−i−iii1−1−i32−1+i32−1−i32−1+i321+i321−i321-1-1−1−i321+i321+i32−1+i321−i321−i321+i321−i321+i32−1−i32−1−i321−i32−1+i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321-1−1−i321+i32−1+i321−i32-111+i32−1−i321−i32−1+i32ii−i−i−i−iiiζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ711-1-1i−i−ii−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32ζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ7
χ4211-1-11-1-11-1111-1-1-1-111−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32i−i−ii1-1-11ii−i−i−i−iii1−1−i32−1+i32−1−i32−1+i321+i321−i321-1-1−1−i321+i321+i32−1+i321−i321−i321+i321−i321+i32−1−i32−1−i321−i32−1+i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321-1−1−i321+i32−1+i321−i32-111+i32−1−i321−i32−1+i32ii−i−i−i−iiiζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7-1-111−iii−i1+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ7
χ4311-1-11-1-11-1111-1-1-1-111−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−iii−i1-1-11−i−iiiii−i−i1−1−i32−1+i32−1−i32−1+i321+i321−i321-1-1−1−i321+i321+i32−1+i321−i321−i321+i321−i321+i32−1−i32−1−i321−i32−1+i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321-1−1−i321+i32−1+i321−i32-111+i32−1−i321−i32−1+i32−i−iiiii−i−i−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ711-1-1−iii−i−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ7
χ4411-1-11-1-11-1111-1-1-1-111−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−iii−i1-1-11−i−iiiii−i−i1−1−i32−1+i32−1−i32−1+i321+i321−i321-1-1−1−i321+i321+i32−1+i321−i321−i321+i321−i321+i32−1−i32−1−i321−i32−1+i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321-1−1−i321+i32−1+i321−i32-111+i32−1−i321−i32−1+i32−i−iiiii−i−i−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7-1-111i−i−ii1+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32ζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ7
χ4511-1-11-1-11-1111-1-1-1-111−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32i−i−ii1-1-11ii−i−i−i−iii1−1+i32−1−i32−1+i32−1−i321−i321+i321-1-1−1+i321−i321−i32−1−i321+i321+i321−i321+i321−i32−1+i32−1+i321+i32−1−i32−1−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321-1−1+i321−i32−1−i321+i32-111−i32−1+i321+i32−1−i32ii−i−i−i−iiiζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ1111-1-1i−i−ii−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32ζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ11
χ4611-1-11-1-11-1111-1-1-1-111−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32i−i−ii1-1-11ii−i−i−i−iii1−1+i32−1−i32−1+i32−1−i321−i321+i321-1-1−1+i321−i321−i32−1−i321+i321+i321−i321+i321−i32−1+i32−1+i321+i32−1−i32−1−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321-1−1+i321−i32−1−i321+i32-111−i32−1+i321+i32−1−i32ii−i−i−i−iiiζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11-1-111−iii−i1−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−ζ7ζ7ζ7−ζ7−ζ11ζ11ζ11−ζ11
χ4711-1-11-1-11-1111-1-1-1-111−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−iii−i1-1-11−i−iiiii−i−i1−1+i32−1−i32−1+i32−1−i321−i321+i321-1-1−1+i321−i321−i32−1−i321+i321+i321−i321+i321−i32−1+i32−1+i321+i32−1−i32−1−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321-1−1+i321−i32−1−i321+i32-111−i32−1+i321+i32−1−i32−i−iiiii−i−i−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ1111-1-1−iii−i−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−ζ7ζ7ζ7−ζ7−ζ11ζ11ζ11−ζ11
χ4811-1-11-1-11-1111-1-1-1-111−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−iii−i1-1-11−i−iiiii−i−i1−1+i32−1−i32−1+i32−1−i321−i321+i321-1-1−1+i321−i321−i32−1−i321+i321+i321−i321+i321−i32−1+i32−1+i321+i32−1−i32−1−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321-1−1+i321−i32−1−i321+i32-111−i32−1+i321+i32−1−i32−i−iiiii−i−i−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11-1-111i−i−ii1−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32ζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ11
χ49222222222222222222222222222222222222222222-1-1-12222-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-1000000000000000000000000
χ5022222222222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-12222-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-211-211-211-211-211-211-211-211000000000000000000000000
χ51222222222222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i32222222222222222-11+i321−i32−1−i3−1+i3−1−i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32−1−i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-1-1-1-1-1-1-1−1−i31+i321+i32−1−i31+i321+i32−1−i31+i321+i32−1−i31+i321+i32−1+i31−i321−i32−1+i31−i321−i32−1+i31−i321−i32−1+i31−i321−i32000000000000000000000000
χ52222222222222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-2-2-2-22222-2-2-2-2-2-2-2-2-11+i321−i32−1−i3−1+i3−1−i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32−1−i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32111111111+i3−1−i32−1−i321+i3−1−i32−1−i321+i3−1−i32−1−i321+i3−1−i32−1−i321−i3−1+i32−1+i321−i3−1+i32−1+i321−i3−1+i32−1+i321−i3−1+i32−1+i32000000000000000000000000
χ53222222222222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i32222222222222222-11−i321+i32−1+i3−1−i3−1+i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32−1+i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32-1-1-1-1-1-1-1-1−1+i31−i321−i32−1+i31−i321−i32−1+i31−i321−i32−1+i31−i321−i32−1−i31+i321+i32−1−i31+i321+i32−1−i31+i321+i32−1−i31+i321+i32000000000000000000000000
χ54222222222222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-2-2-2-22222-2-2-2-2-2-2-2-2-11−i321+i32−1+i3−1−i3−1+i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32−1+i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32111111111−i3−1+i32−1+i321−i3−1+i32−1+i321−i3−1+i32−1+i321−i3−1+i32−1+i321+i3−1−i32−1−i321+i3−1−i32−1−i321+i3−1−i32−1−i321+i3−1−i32−1−i32000000000000000000000000
χ5522222-2-222-2-22-2-222-2-2222222222i2i−2i−2i2-22-22i2i2i2i−2i−2i−2i−2i-1-1-122-2-2-111-111-111-2-22-2-22-2-2-1-111-1-111-1-111-11-11-11-11-11-11−i−i−i−iiiii2i−i−i2i−i−i−2iii−2iii2i−i−i2i−i−i−2iii−2iii000000000000000000000000
χ5622222-2-222-2-22-2-222-2-222222222−2i−2i2i2i2-22-2−2i−2i−2i−2i2i2i2i2i-1-1-122-2-2-111-111-111-2-22-2-22-2-2-1-111-1-111-1-111-11-11-11-11-11-11iiii−i−i−i−i−2iii−2iii2i−i−i2i−i−i−2iii−2iii2i−i−i2i−i−i000000000000000000000000
χ5722222-2-222-2-22-2-222-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i32i2i−2i−2i2-22-22i2i2i2i−2i−2i−2i−2i-11+i321−i32−1−i3−1+i31+i31−i3-1111+i32−1−i32−1−i321−i32−1+i32−1+i321+i31−i3−1−i31+i31+i3−1+i31−i31−i3-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-111+i32−1−i321−i32−1+i32-111+i32−1−i321−i32−1+i32−i−i−i−iiiii2ζ11−ζ11−ζ112ζ11−ζ11−ζ11−2ζ11ζ11ζ11−2ζ11ζ11ζ112ζ7−ζ7−ζ72ζ7−ζ7−ζ7−2ζ7ζ7ζ7−2ζ7ζ7ζ7000000000000000000000000
χ5822222-2-222-2-22-2-222-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−2i−2i2i2i2-22-2−2i−2i−2i−2i2i2i2i2i-11+i321−i32−1−i3−1+i31+i31−i3-1111+i32−1−i32−1−i321−i32−1+i32−1+i321+i31−i3−1−i31+i31+i3−1+i31−i31−i3-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-111+i32−1−i321−i32−1+i32-111+i32−1−i321−i32−1+i32iiii−i−i−i−i−2ζ11ζ11ζ11−2ζ11ζ11ζ112ζ11−ζ11−ζ112ζ11−ζ11−ζ11−2ζ7ζ7ζ7−2ζ7ζ7ζ72ζ7−ζ7−ζ72ζ7−ζ7−ζ7000000000000000000000000
χ5922222-2-222-2-22-2-222-2-2−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i32i2i−2i−2i2-22-22i2i2i2i−2i−2i−2i−2i-11−i321+i32−1+i3−1−i31−i31+i3-1111−i32−1+i32−1+i321+i32−1−i32−1−i321−i31+i3−1+i31−i31−i3−1−i31+i31+i3-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-111−i32−1+i321+i32−1−i32-111−i32−1+i321+i32−1−i32−i−i−i−iiiii2ζ7−ζ7−ζ72ζ7−ζ7−ζ7−2ζ7ζ7ζ7−2ζ7ζ7ζ72ζ11−ζ11−ζ112ζ11−ζ11−ζ11−2ζ11ζ11ζ11−2ζ11ζ11ζ11000000000000000000000000
χ6022222-2-222-2-22-2-222-2-2−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−2i−2i2i2i2-22-2−2i−2i−2i−2i2i2i2i2i-11−i321+i32−1+i3−1−i31−i31+i3-1111−i32−1+i32−1+i321+i32−1−i32−1−i321−i31+i3−1+i31−i31−i3−1−i31+i31+i3-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-111−i32−1+i321+i32−1−i32-111−i32−1+i321+i32−1−i32iiii−i−i−i−i−2ζ7ζ7ζ7−2ζ7ζ7ζ72ζ7−ζ7−ζ72ζ7−ζ7−ζ7−2ζ11ζ11ζ11−2ζ11ζ11ζ112ζ11−ζ11−ζ112ζ11−ζ11−ζ11000000000000000000000000
χ612222-22-22-22-22222222222222220000-2-2-2-200000000222-2-222222222222-2-2-22-2-22-2222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000
χ622222-22-22-22-22222222222222220000-2-2-2-200000000-1-1-1-2-222-1-1-1-1-1-1-1-1-1-2-2-22-2-22-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111−i3i3−i3i3−i3i3−i3i30−i3i30−i3i30−i3i30−i3i30−i3i30−i3i30−i3i30−i3i3000000000000000000000000
χ632222-22-22-22-22222222222222220000-2-2-2-200000000-1-1-1-2-222-1-1-1-1-1-1-1-1-1-2-2-22-2-22-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111i3−i3i3−i3i3−i3i3−i30i3−i30i3−i30i3−i30i3−i30i3−i30i3−i30i3−i30i3−i3000000000000000000000000
χ642222-22-22-22-22222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i30000-2-2-2-2000000002−1−i3−1+i31+i31−i3−1−i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i31−i31+i3−1−i31+i31−i3−1+i31−i32222−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3-2-21+i31+i31−i31−i3-2-21+i31+i31−i31−i300000000000000000000000000000000000000000000000000000000
χ652222-22-22-22-22222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i30000-2-2-2-200000000-11+i321−i321+i31−i3−1−i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i321+i31−i31+i3−1−i31+i31−i3−1+i31−i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32−i3i3−i3i3−i3i3−i3i30−3+i323−i320−3+i323−i320−3+i323−i320−3+i323−i3203+i32−3−i3203+i32−3−i3203+i32−3−i3203+i32−3−i32000000000000000000000000
χ662222-22-22-22-22222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i30000-2-2-2-200000000-11+i321−i321+i31−i3−1−i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i321+i31−i31+i3−1−i31+i31−i3−1+i31−i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32i3−i3i3−i3i3−i3i3−i303−i32−3+i3203−i32−3+i3203−i32−3+i3203−i32−3+i320−3−i323+i320−3−i323+i320−3−i323+i320−3−i323+i32000000000000000000000000
χ672222-22-22-22-22222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i30000-2-2-2-2000000002−1+i3−1−i31−i31+i3−1+i3−1−i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31−i31+i31−i3−1+i31−i31+i3−1−i31+i32222−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3-2-21−i31−i31+i31+i3-2-21−i31−i31+i31+i300000000000000000000000000000000000000000000000000000000
χ682222-22-22-22-22222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i30000-2-2-2-200000000-11−i321+i321−i31+i3−1+i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i321−i31+i31−i3−1+i31−i31+i3−1−i31+i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32−i3i3−i3i3−i3i3−i3i303+i32−3−i3203+i32−3−i3203+i32−3−i3203+i32−3−i320−3+i323−i320−3+i323−i320−3+i323−i320−3+i323−i32000000000000000000000000
χ692222-22-22-22-22222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i30000-2-2-2-200000000-11−i321+i321−i31+i3−1+i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i321−i31+i31−i3−1+i31−i31+i3−1−i31+i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32i3−i3i3−i3i3−i3i3−i30−3−i323+i320−3−i323+i320−3−i323+i320−3−i323+i3203−i32−3+i3203−i32−3+i3203−i32−3+i3203−i32−3+i32000000000000000000000000
χ702222-2-222-2-222-2-222-2-2222222220000-22-2200000000222-2-2-2-22-2-22-2-22-2-222-2-22-2-2222-2-222-2-222-2-2-22-22-22-22-22-2200000000000000000000000000000000000000000000000000000000
χ712222-2-222-2-222-2-222-2-2222222220000-22-2200000000-1-1-1-2-2-2-2-111-111-11122-2-22-2-22-1-111-1-111-1-1111-11-11-11-11-11-13−33−3−33−3303−303−30−330−3303−303−30−330−33000000000000000000000000
χ722222-2-222-2-222-2-222-2-2222222220000-22-2200000000-1-1-1-2-2-2-2-111-111-11122-2-22-2-22-1-111-1-111-1-1111-11-11-11-11-11-1−33−333−33−30−330−3303−303−30−330−3303−303−3000000000000000000000000
χ732222-2-222-2-222-2-222-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i30000-22-22000000002−1−i3−1+i31+i31−i31+i31−i32-2-2−1−i31+i31+i3−1+i31−i31−i3−1−i3−1+i31+i31+i3−1−i31−i31−i3−1+i322-2-2−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i3-221+i3−1−i31−i3−1+i3-221+i3−1−i31−i3−1+i300000000000000000000000000000000000000000000000000000000
χ742222-2-222-2-222-2-222-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i30000-22-2200000000-11+i321−i321+i31−i31+i31−i3-1111+i32−1−i32−1−i321−i32−1+i32−1+i32−1−i3−1+i31+i31+i3−1−i31−i31−i3−1+i3-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321-1−1−i321+i32−1+i321−i321-1−1−i321+i32−1+i321−i323−33−3−33−3302ζ7+ζ11−2ζ7−ζ1102ζ7+ζ11−2ζ7−ζ110−2ζ7−ζ112ζ7+ζ110−2ζ7−ζ112ζ7+ζ110−ζ7−2ζ11ζ7+2ζ110−ζ7−2ζ11ζ7+2ζ110ζ7+2ζ11−ζ7−2ζ110ζ7+2ζ11−ζ7−2ζ11000000000000000000000000
χ752222-2-222-2-222-2-222-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i30000-22-2200000000-11+i321−i321+i31−i31+i31−i3-1111+i32−1−i32−1−i321−i32−1+i32−1+i32−1−i3−1+i31+i31+i3−1−i31−i31−i3−1+i3-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321-1−1−i321+i32−1+i321−i321-1−1−i321+i32−1+i321−i32−33−333−33−30−2ζ7−ζ112ζ7+ζ110−2ζ7−ζ112ζ7+ζ1102ζ7+ζ11−2ζ7−ζ1102ζ7+ζ11−2ζ7−ζ110ζ7+2ζ11−ζ7−2ζ110ζ7+2ζ11−ζ7−2ζ110−ζ7−2ζ11ζ7+2ζ110−ζ7−2ζ11ζ7+2ζ11000000000000000000000000
χ762222-2-222-2-222-2-222-2-2−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i30000-22-22000000002−1+i3−1−i31−i31+i31−i31+i32-2-2−1+i31−i31−i3−1−i31+i31+i3−1+i3−1−i31−i31−i3−1+i31+i31+i3−1−i322-2-2−1+i3−1+i31−i31−i3−1−i3−1−i31+i31+i3-221−i3−1+i31+i3−1−i3-221−i3−1+i31+i3−1−i300000000000000000000000000000000000000000000000000000000
χ772222-2-222-2-222-2-222-2-2−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i30000-22-2200000000-11−i321+i321−i31+i31−i31+i3-1111−i32−1+i32−1+i321+i32−1−i32−1−i32−1+i3−1−i31−i31−i3−1+i31+i31+i3−1−i3-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321-1−1+i321−i32−1−i321+i321-1−1+i321−i32−1−i321+i323−33−3−33−330−ζ7−2ζ11ζ7+2ζ110−ζ7−2ζ11ζ7+2ζ110ζ7+2ζ11−ζ7−2ζ110ζ7+2ζ11−ζ7−2ζ1102ζ7+ζ11−2ζ7−ζ1102ζ7+ζ11−2ζ7−ζ110−2ζ7−ζ112ζ7+ζ110−2ζ7−ζ112ζ7+ζ11000000000000000000000000
χ782222-2-222-2-222-2-222-2-2−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i30000-22-2200000000-11−i321+i321−i31+i31−i31+i3-1111−i32−1+i32−1+i321+i32−1−i32−1−i32−1+i3−1−i31−i31−i3−1+i31+i31+i3−1−i3-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321-1−1+i321−i32−1−i321+i321-1−1+i321−i32−1−i321+i32−33−333−33−30ζ7+2ζ11−ζ7−2ζ110ζ7+2ζ11−ζ7−2ζ110−ζ7−2ζ11ζ7+2ζ110−ζ7−2ζ11ζ7+2ζ110−2ζ7−ζ112ζ7+ζ110−2ζ7−ζ112ζ7+ζ1102ζ7+ζ11−2ζ7−ζ1102ζ7+ζ11−2ζ7−ζ11000000000000000000000000
χ7922-2-22222-2-2-2222-2-2-2-22222-2-2-2-22-22-222-2-222-2-222-2-2-1-1-12222-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2111111111111-1-1-1-1-1-1111111-1-111-1-1112-1-1-2112-1-1-2112-1-1-2112-1-1-211000000000000000000000000
χ8022-2-22222-2-2-2222-2-2-2-22222-2-2-2-2-22-2222-2-2-2-222-2-222-1-1-12222-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2111111111111-1-1-1-1-1-111111111-1-111-1-1-2112-1-1-2112-1-1-2112-1-1-2112-1-1000000000000000000000000
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χ1184-4−4i4i0004000-400−4i4i0044-4-4−4i4i−4i4i00000000000000004440000-400-400-40000000000−4i4i00−4i4i00−4i4i0000000000000000000000000000000000000000000000000000000000000000000000
χ1194-4−4i4i0004000-400−4i4i0044-4-4−4i4i−4i4i0000000000000000-2-2-200002−2i32i32−2i32i32−2i32i3000000002i−2i−23232i−2i−23232i−2i−232300000000000000000000000000000000000000000000000000000000000000000000
χ1204-4−4i4i0004000-400−4i4i0044-4-4−4i4i−4i4i0000000000000000-2-2-2000022i3−2i322i3−2i322i3−2i3000000002i−2i23−232i−2i23−232i−2i23−2300000000000000000000000000000000000000000000000000000000000000000000
χ1214-4−4i4i0004000-400−4i4i00−2−2i3−2+2i32+2i32−2i3−4ζ114ζ11−4ζ74ζ700000000000000004−2−2i3−2+2i30000-4002+2i3002−2i30000000000−4i4i00−4ζ114ζ1100−4ζ74ζ70000000000000000000000000000000000000000000000000000000000000000000000
χ1224-4−4i4i0004000-400−4i4i00−2−2i3−2+2i32+2i32−2i3−4ζ114ζ11−4ζ74ζ70000000000000000-21+i31−i300002−2i32i3−1−i3−3+i33−i3−1+i33+i3−3−i3000000002i−2i−23232ζ11−2ζ11−4ζ7−2ζ114ζ7+2ζ112ζ7−2ζ72ζ7+4ζ11−2ζ7−4ζ1100000000000000000000000000000000000000000000000000000000000000000000
χ1234-4−4i4i0004000-400−4i4i00−2−2i3−2+2i32+2i32−2i3−4ζ114ζ11−4ζ74ζ70000000000000000-21+i31−i3000022i3−2i3−1−i33−i3−3+i3−1+i3−3−i33+i3000000002i−2i23−232ζ11−2ζ114ζ7+2ζ11−4ζ7−2ζ112ζ7−2ζ7−2ζ7−4ζ112ζ7+4ζ1100000000000000000000000000000000000000000000000000000000000000000000
χ1244-4−4i4i0004000-400−4i4i00−2+2i3−2−2i32−2i32+2i3−4ζ74ζ7−4ζ114ζ1100000000000000004−2+2i3−2−2i30000-4002−2i3002+2i30000000000−4i4i00−4ζ74ζ700−4ζ114ζ110000000000000000000000000000000000000000000000000000000000000000000000
χ1254-4−4i4i0004000-400−4i4i00−2+2i3−2−2i32−2i32+2i3−4ζ74ζ7−4ζ114ζ110000000000000000-21−i31+i300002−2i32i3−1+i33+i3−3−i3−1−i3−3+i33−i3000000002i−2i−23232ζ7−2ζ72ζ7+4ζ11−2ζ7−4ζ112ζ11−2ζ11−4ζ7−2ζ114ζ7+2ζ1100000000000000000000000000000000000000000000000000000000000000000000
χ1264-4−4i4i0004000-400−4i4i00−2+2i3−2−2i32−2i32+2i3−4ζ74ζ7−4ζ114ζ110000000000000000-21−i31+i3000022i3−2i3−1+i3−3−i33+i3−1−i33−i3−3+i3000000002i−2i23−232ζ7−2ζ7−2ζ7−4ζ112ζ7+4ζ112ζ11−2ζ114ζ7+2ζ11−4ζ7−2ζ1100000000000000000000000000000000000000000000000000000000000000000000
χ1276666666-3666-3-3-3-3-3-3-3000000006666-3-3-3-3-3-3-3-3-3-3-3-300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1286666666-3666-3-3-3-3-3-3-300000000-6-6-6-6-3-3-3-33333333300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12966666-6-6-36-6-6-333-3-333000000006i6i−6i−6i-33-33−3i−3i−3i−3i3i3i3i3i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13066666-6-6-36-6-6-333-3-33300000000−6i−6i6i6i-33-333i3i3i3i−3i−3i−3i−3i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1316666-66-6-3-66-6-3-3-3-3-3-3-30000000000003333−3i33i3−3i33i3−3i33i3−3i33i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1326666-66-6-3-66-6-3-3-3-3-3-3-300000000000033333i3−3i33i3−3i33i3−3i33i3−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1336666-6-66-3-6-66-333-3-3330000000000003-33-333−3333−33−3333−333300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1346666-6-66-3-6-66-333-3-3330000000000003-33-3−3333−333333−3333−3300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13566-6-6666-3-6-6-6-3-3-33333000000006-66-6-3-333-3-333-3-33300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13666-6-6666-3-6-6-6-3-3-3333300000000-66-66-3-33333-3-333-3-300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13766-6-66-6-6-3-666-33333-3-3000000006i−6i−6i6i-333-3−3i−3i3i3i3i3i−3i−3i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13866-6-66-6-6-3-666-33333-3-300000000−6i6i6i−6i-333-33i3i−3i−3i−3i−3i3i3i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13966-6-6-66-6-36-66-3-3-3333300000000000033-3-3−3i33i33i3−3i3−3i33i33i3−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14066-6-6-66-6-36-66-3-3-3333300000000000033-3-33i3−3i3−3i33i33i3−3i3−3i33i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14166-6-6-6-66-366-6-33333-3-30000000000003-3-3333−33−3333−333333−3300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14266-6-6-6-66-366-6-33333-3-30000000000003-3-33−333333−3333−33−333300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14312-1212i−12i000-60006−6i36i3−6i6i63−6300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14412-1212i−12i000-600066i3−6i3−6i6i−636300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14512-12−12i12i000-60006−6i36i36i−6i−636300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14612-12−12i12i000-600066i3−6i36i−6i63−6300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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