Finite Group Databasebeta

← Group #102103

Character table — Group #102103

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152
size111111111111111122222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222216161616161616161616161616161616
order12222222444444444444444444444444444444448888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888884444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-111111111-1-1-1-1
χ911111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i11-1-111-1-1ii−i−iii−i−i
χ1011111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-111-1-111−i−iii−i−iii
χ1111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii11-1-111-1-1−i−iii−i−iii
χ1211111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-1-111-1-111ii−i−iii−i−i
χ1311111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii11-1-1-1-111ii−i−i−i−iii
χ1411111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-1-11111-1-1−i−iiiii−i−i
χ1511111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i11-1-1-1-111−i−iiiii−i−i
χ1611111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-11111-1-1ii−i−i−i−iii
χ17111-1-1-11-1iii−i−i−ii−i11-1-1ii−i−i11-1-111-1-1ii−i−iii−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iζζζζζζζζ−ζ−ζ−ζ−ζ−ζ−ζ−ζ−ζζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3ζζζζζζζζ−ζ−ζ−ζ−ζ−ζ−ζ−ζ−ζζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ31-1i−i1-1i−iζ−ζζ3−ζ3ζ−ζζ3−ζ3
χ18111-1-1-11-1iii−i−i−ii−i11-1-1ii−i−i11-1-111-1-1ii−i−iii−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iζζζζζζζζ−ζ−ζ−ζ−ζ−ζ−ζ−ζ−ζζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3ζζζζζζζζ−ζ−ζ−ζ−ζ−ζ−ζ−ζ−ζζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3-11−ii-11−ii−ζζ−ζ3ζ3−ζζ−ζ3ζ3
χ19111-1-1-11-1iii−i−i−ii−i11-1-1ii−i−i11-1-111-1-1ii−i−iii−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−ζ−ζ−ζ−ζ−ζ−ζ−ζ−ζζζζζζζζζ−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3−ζ−ζ−ζ−ζ−ζ−ζ−ζ−ζζζζζζζζζ−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ31-1i−i1-1i−i−ζζ−ζ3ζ3−ζζ−ζ3ζ3
χ20111-1-1-11-1iii−i−i−ii−i11-1-1ii−i−i11-1-111-1-1ii−i−iii−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−ζ−ζ−ζ−ζ−ζ−ζ−ζ−ζζζζζζζζζ−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3−ζ−ζ−ζ−ζ−ζ−ζ−ζ−ζζζζζζζζζ−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3-11−ii-11−iiζ−ζζ3−ζ3ζ−ζζ3−ζ3
χ21111-1-1-11-1iii−i−i−ii−i11-1-1ii−i−i11-1-111-1-1ii−i−iii−i−i-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiζζζζζζζζ−ζ−ζ−ζ−ζ−ζ−ζ−ζ−ζζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ−ζ−ζ−ζ−ζ−ζ−ζ−ζζζζζζζζζ−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ31-1i−i-11−iiζ−ζζ3−ζ3−ζζ−ζ3ζ3
χ22111-1-1-11-1iii−i−i−ii−i11-1-1ii−i−i11-1-111-1-1ii−i−iii−i−i-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiζζζζζζζζ−ζ−ζ−ζ−ζ−ζ−ζ−ζ−ζζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ−ζ−ζ−ζ−ζ−ζ−ζ−ζζζζζζζζζ−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3-11−ii1-1i−i−ζζ−ζ3ζ3ζ−ζζ3−ζ3
χ23111-1-1-11-1iii−i−i−ii−i11-1-1ii−i−i11-1-111-1-1ii−i−iii−i−i-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii−ζ−ζ−ζ−ζ−ζ−ζ−ζ−ζζζζζζζζζ−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζζζζζζζζ−ζ−ζ−ζ−ζ−ζ−ζ−ζ−ζζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ31-1i−i-11−ii−ζζ−ζ3ζ3ζ−ζζ3−ζ3
χ24111-1-1-11-1iii−i−i−ii−i11-1-1ii−i−i11-1-111-1-1ii−i−iii−i−i-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii−ζ−ζ−ζ−ζ−ζ−ζ−ζ−ζζζζζζζζζ−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζζζζζζζζ−ζ−ζ−ζ−ζ−ζ−ζ−ζ−ζζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3-11−ii1-1i−iζ−ζζ3−ζ3−ζζ−ζ3ζ3
χ25111-1-1-11-1−i−i−iiii−ii11-1-1−i−iii11-1-111-1-1−i−iii−i−iii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3ζζζζζζζζ−ζ−ζ−ζ−ζ−ζ−ζ−ζ−ζζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3ζζζζζζζζ−ζ−ζ−ζ−ζ−ζ−ζ−ζ−ζ1-1−ii1-1−iiζ3−ζ3ζ−ζζ3−ζ3ζ−ζ
χ26111-1-1-11-1−i−i−iiii−ii11-1-1−i−iii11-1-111-1-1−i−iii−i−iii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3ζζζζζζζζ−ζ−ζ−ζ−ζ−ζ−ζ−ζ−ζζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3ζζζζζζζζ−ζ−ζ−ζ−ζ−ζ−ζ−ζ−ζ-11i−i-11i−i−ζ3ζ3−ζζ−ζ3ζ3−ζζ
χ27111-1-1-11-1−i−i−iiii−ii11-1-1−i−iii11-1-111-1-1−i−iii−i−iii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3−ζ−ζ−ζ−ζ−ζ−ζ−ζ−ζζζζζζζζζ−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3−ζ−ζ−ζ−ζ−ζ−ζ−ζ−ζζζζζζζζζ1-1−ii1-1−ii−ζ3ζ3−ζζ−ζ3ζ3−ζζ
χ28111-1-1-11-1−i−i−iiii−ii11-1-1−i−iii11-1-111-1-1−i−iii−i−iii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3−ζ−ζ−ζ−ζ−ζ−ζ−ζ−ζζζζζζζζζ−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3−ζ−ζ−ζ−ζ−ζ−ζ−ζ−ζζζζζζζζζ-11i−i-11i−iζ3−ζ3ζ−ζζ3−ζ3ζ−ζ
χ29111-1-1-11-1−i−i−iiii−ii11-1-1−i−iii11-1-111-1-1−i−iii−i−iii-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−iζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3ζζζζζζζζ−ζ−ζ−ζ−ζ−ζ−ζ−ζ−ζ−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3−ζ−ζ−ζ−ζ−ζ−ζ−ζ−ζζζζζζζζζ1-1−ii-11i−iζ3−ζ3ζ−ζ−ζ3ζ3−ζζ
χ30111-1-1-11-1−i−i−iiii−ii11-1-1−i−iii11-1-111-1-1−i−iii−i−iii-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−iζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3ζζζζζζζζ−ζ−ζ−ζ−ζ−ζ−ζ−ζ−ζ−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3−ζ−ζ−ζ−ζ−ζ−ζ−ζ−ζζζζζζζζζ-11i−i1-1−ii−ζ3ζ3−ζζζ3−ζ3ζ−ζ
χ31111-1-1-11-1−i−i−iiii−ii11-1-1−i−iii11-1-111-1-1−i−iii−i−iii-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3−ζ−ζ−ζ−ζ−ζ−ζ−ζ−ζζζζζζζζζζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3ζζζζζζζζ−ζ−ζ−ζ−ζ−ζ−ζ−ζ−ζ1-1−ii-11i−i−ζ3ζ3−ζζζ3−ζ3ζ−ζ
χ32111-1-1-11-1−i−i−iiii−ii11-1-1−i−iii11-1-111-1-1−i−iii−i−iii-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3−ζ−ζ−ζ−ζ−ζ−ζ−ζ−ζζζζζζζζζζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3ζζζζζζζζ−ζ−ζ−ζ−ζ−ζ−ζ−ζ−ζ-11i−i1-1−iiζ3−ζ3ζ−ζ−ζ3ζ3−ζζ
χ3322222222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-200000000000000000000000000000000000000000000000000000000000000002222-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-20000000000000000
χ3422222222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000000000000000000000000000-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-222220000000000000000
χ352222222222222222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ362222222222222222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-2222200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ372222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222000000000000000000000000000000002222-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000000000000000
χ382222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2222200000000000000000000000000000000-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000000000000000
χ3922222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2222200000000000000000000000000000000000000000000000000000000000000002i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i0000000000000000
χ4022222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000000000000000000000000000−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i0000000000000000
χ4122222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-22222-2-2-2-2000000000000000000000000000000002i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000000000000000
χ4222222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-22222-2-2-2-200000000000000000000000000000000−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000000000000000000
χ4322222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2222200000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1182-22-22-2-22−2i2i−2i2i−2i2i2i−2i-222-20000000000002i−2i−2i2i00002−22−2−22−22−22−222−22−2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−1+i1−i−1+i1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i1+i−1−i1+i−1−i2ζ3−2ζ32ζ3−2ζ30000−2ζ32ζ3−2ζ32ζ300002ζ−2ζ2ζ−2ζ0000−2ζ2ζ−2ζ2ζ00000000000000000000
χ1192-22-22-2-22−2i2i−2i2i−2i2i2i−2i-222-20000000000002i−2i−2i2i0000−22−222−22−22−22−2−22−22i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i21−i−1+i1−i−1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i−1−i1+i−1−i1+i2ζ3−2ζ32ζ3−2ζ30000−2ζ32ζ3−2ζ32ζ300002ζ−2ζ2ζ−2ζ0000−2ζ2ζ−2ζ2ζ00000000000000000000
χ1202-22-22-2-22−2i2i−2i2i−2i2i2i−2i-222-20000000000002i−2i−2i2i0000−22−222−22−22−22−2−22−22i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2−1+i1−i−1+i1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i1+i−1−i1+i−1−i−2ζ32ζ3−2ζ32ζ300002ζ3−2ζ32ζ3−2ζ30000−2ζ2ζ−2ζ2ζ00002ζ−2ζ2ζ−2ζ00000000000000000000
χ1212-2-22-2-2222-2-22-2-222000000002-22-2000000002-22-22−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−2200002-2-2200002-2-2200002-2-2200002-2-222−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−220000000000000000
χ1222-2-22-2-2222-2-22-2-222000000002-22-2000000002-22-22−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−220000-222-20000-222-20000-222-20000-222-2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−222−20000000000000000
χ1232-2-22-2-2222-2-22-2-222000000002-22-2000000002-22-2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−222−200002-2-2200002-2-2200002-2-2200002-2-22−222−2−222−2−222−2−222−2−222−2−222−2−222−2−222−20000000000000000
χ1242-2-22-2-2222-2-22-2-222000000002-22-2000000002-22-2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−222−20000-222-20000-222-20000-222-20000-222-22−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−220000000000000000
χ1252-2-22-2-2222-2-22-2-22200000000-22-2200000000-22-222−2−22−222−22−2−22−222−22−2−22−222−22−2−22−222−22-2-2200002-2-2200002-2-2200002-2-2200002−2−22−222−22−2−22−222−22−2−22−222−22−2−22−222−20000000000000000
χ1262-2-22-2-2222-2-22-2-22200000000-22-2200000000-22-222−2−22−222−22−2−22−222−22−2−22−222−22−2−22−222−2-222-20000-222-20000-222-20000-222-20000−222−22−2−22−222−22−2−22−222−22−2−22−222−22−2−220000000000000000
χ1272-2-22-2-2222-2-22-2-22200000000-22-2200000000-22-22−222−22−2−22−222−22−2−22−222−22−2−22−222−22−2−222-2-2200002-2-2200002-2-2200002-2-220000−222−22−2−22−222−22−2−22−222−22−2−22−222−22−2−220000000000000000
χ1282-2-22-2-2222-2-22-2-22200000000-22-2200000000-22-22−222−22−2−22−222−22−2−22−222−22−2−22−222−22−2−22-222-20000-222-20000-222-20000-222-200002−2−22−222−22−2−22−222−22−2−22−222−22−2−22−222−20000000000000000
χ1292-2-22-2-222-222-222-2-2000000002-22-200000000-22-222−2−222−2−222−2−222−2−22−222−2−222−2−222−2−222−200002i−2i−2i2i00002i−2i−2i2i0000−2i2i2i−2i0000−2i2i2i−2ii2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i20000000000000000
χ1302-2-22-2-222-222-222-2-2000000002-22-200000000-22-222−2−222−2−222−2−222−2−22−222−2−222−2−222−2−222−20000−2i2i2i−2i0000−2i2i2i−2i00002i−2i−2i2i00002i−2i−2i2i−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i20000000000000000
χ1312-2-22-2-222-222-222-2-2000000002-22-200000000-22-22−222−2−222−2−222−2−222−22−2−222−2−222−2−222−2−2200002i−2i−2i2i00002i−2i−2i2i0000−2i2i2i−2i0000−2i2i2i−2i−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i20000000000000000
χ1322-2-22-2-222-222-222-2-2000000002-22-200000000-22-22−222−2−222−2−222−2−222−22−2−222−2−222−2−222−2−220000−2i2i2i−2i0000−2i2i2i−2i00002i−2i−2i2i00002i−2i−2i2ii2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i20000000000000000
χ1332-2-22-2-222-222-222-2-200000000-22-22000000002-22-22−2−22−222−22−2−22−222−2−222−22−2−22−222−22−2−222i−2i−2i2i00002i−2i−2i2i0000−2i2i2i−2i0000−2i2i2i−2i0000i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i20000000000000000
χ1342-2-22-2-222-222-222-2-200000000-22-22000000002-22-22−2−22−222−22−2−22−222−2−222−22−2−22−222−22−2−22−2i2i2i−2i0000−2i2i2i−2i00002i−2i−2i2i00002i−2i−2i2i0000−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i20000000000000000
χ1352-2-22-2-222-222-222-2-200000000-22-22000000002-22-2−222−22−2−22−222−22−2−222−2−22−222−22−2−22−222−22i−2i−2i2i00002i−2i−2i2i0000−2i2i2i−2i0000−2i2i2i−2i0000−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i20000000000000000
χ1362-2-22-2-222-222-222-2-200000000-22-22000000002-22-2−222−22−2−22−222−22−2−222−2−22−222−22−2−22−222−2−2i2i2i−2i0000−2i2i2i−2i00002i−2i−2i2i00002i−2i−2i2i0000i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i20000000000000000
χ1372-2-2-2222-22i−2i−2i−2i2i2i2i−2i000000002-2-22000000002i−2i−2i2i2−2−222−2−22−222−2−222−2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i200002ζ−2ζ−2ζ2ζ0000−2ζ2ζ2ζ−2ζ00002ζ3−2ζ3−2ζ32ζ30000−2ζ32ζ32ζ3−2ζ31+i−1−i−1−i1+i1+i−1−i−1−i1+i−1−i1+i1+i−1−i−1−i1+i1+i−1−i−1+i1−i1−i−1+i−1+i1−i1−i−1+i1−i−1+i−1+i1−i1−i−1+i−1+i1−i0000000000000000
χ1382-2-2-2222-22i−2i−2i−2i2i2i2i−2i000000002-2-22000000002i−2i−2i2i2−2−222−2−22−222−2−222−2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i20000−2ζ2ζ2ζ−2ζ00002ζ−2ζ−2ζ2ζ0000−2ζ32ζ32ζ3−2ζ300002ζ3−2ζ3−2ζ32ζ3−1−i1+i1+i−1−i−1−i1+i1+i−1−i1+i−1−i−1−i1+i1+i−1−i−1−i1+i1−i−1+i−1+i1−i1−i−1+i−1+i1−i−1+i1−i1−i−1+i−1+i1−i1−i−1+i0000000000000000
χ1392-2-2-2222-22i−2i−2i−2i2i2i2i−2i000000002-2-22000000002i−2i−2i2i−222−2−222−22−2−222−2−22−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i200002ζ−2ζ−2ζ2ζ0000−2ζ2ζ2ζ−2ζ00002ζ3−2ζ3−2ζ32ζ30000−2ζ32ζ32ζ3−2ζ3−1−i1+i1+i−1−i−1−i1+i1+i−1−i1+i−1−i−1−i1+i1+i−1−i−1−i1+i1−i−1+i−1+i1−i1−i−1+i−1+i1−i−1+i1−i1−i−1+i−1+i1−i1−i−1+i0000000000000000
χ1402-2-2-2222-22i−2i−2i−2i2i2i2i−2i000000002-2-22000000002i−2i−2i2i−222−2−222−22−2−222−2−22−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i20000−2ζ2ζ2ζ−2ζ00002ζ−2ζ−2ζ2ζ0000−2ζ32ζ32ζ3−2ζ300002ζ3−2ζ3−2ζ32ζ31+i−1−i−1−i1+i1+i−1−i−1−i1+i−1−i1+i1+i−1−i−1−i1+i1+i−1−i−1+i1−i1−i−1+i−1+i1−i1−i−1+i1−i−1+i−1+i1−i1−i−1+i−1+i1−i0000000000000000
χ1412-2-2-2222-22i−2i−2i−2i2i2i2i−2i00000000-222-200000000−2i2i2i−2i2−2−22−222−2−222−22−2−22i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i22ζ−2ζ−2ζ2ζ0000−2ζ2ζ2ζ−2ζ00002ζ3−2ζ3−2ζ32ζ30000−2ζ32ζ32ζ3−2ζ300001+i−1−i−1−i1+i−1−i1+i1+i−1−i−1−i1+i1+i−1−i1+i−1−i−1−i1+i−1+i1−i1−i−1+i1−i−1+i−1+i1−i1−i−1+i−1+i1−i−1+i1−i1−i−1+i0000000000000000
χ1422-2-2-2222-22i−2i−2i−2i2i2i2i−2i00000000-222-200000000−2i2i2i−2i2−2−22−222−2−222−22−2−22i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2−2ζ2ζ2ζ−2ζ00002ζ−2ζ−2ζ2ζ0000−2ζ32ζ32ζ3−2ζ300002ζ3−2ζ3−2ζ32ζ30000−1−i1+i1+i−1−i1+i−1−i−1−i1+i1+i−1−i−1−i1+i−1−i1+i1+i−1−i1−i−1+i−1+i1−i−1+i1−i1−i−1+i−1+i1−i1−i−1+i1−i−1+i−1+i1−i0000000000000000
χ1432-2-2-2222-22i−2i−2i−2i2i2i2i−2i00000000-222-200000000−2i2i2i−2i−222−22−2−222−2−22−222−2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i22ζ−2ζ−2ζ2ζ0000−2ζ2ζ2ζ−2ζ00002ζ3−2ζ3−2ζ32ζ30000−2ζ32ζ32ζ3−2ζ30000−1−i1+i1+i−1−i1+i−1−i−1−i1+i1+i−1−i−1−i1+i−1−i1+i1+i−1−i1−i−1+i−1+i1−i−1+i1−i1−i−1+i−1+i1−i1−i−1+i1−i−1+i−1+i1−i0000000000000000
χ1442-2-2-2222-22i−2i−2i−2i2i2i2i−2i00000000-222-200000000−2i2i2i−2i−222−22−2−222−2−22−222−2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−2ζ2ζ2ζ−2ζ00002ζ−2ζ−2ζ2ζ0000−2ζ32ζ32ζ3−2ζ300002ζ3−2ζ3−2ζ32ζ300001+i−1−i−1−i1+i−1−i1+i1+i−1−i−1−i1+i1+i−1−i1+i−1−i−1−i1+i−1+i1−i1−i−1+i1−i−1+i−1+i1−i1−i−1+i−1+i1−i−1+i1−i1−i−1+i0000000000000000
χ1452-2-2-2222-2−2i2i2i2i−2i−2i−2i2i000000002-2-2200000000−2i2i2i−2i2−2−222−2−22−222−2−222−2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i200002ζ3−2ζ3−2ζ32ζ30000−2ζ32ζ32ζ3−2ζ300002ζ−2ζ−2ζ2ζ0000−2ζ2ζ2ζ−2ζ−1+i1−i1−i−1+i−1+i1−i1−i−1+i1−i−1+i−1+i1−i1−i−1+i−1+i1−i1+i−1−i−1−i1+i1+i−1−i−1−i1+i−1−i1+i1+i−1−i−1−i1+i1+i−1−i0000000000000000
χ1462-2-2-2222-2−2i2i2i2i−2i−2i−2i2i000000002-2-2200000000−2i2i2i−2i2−2−222−2−22−222−2−222−2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i20000−2ζ32ζ32ζ3−2ζ300002ζ3−2ζ3−2ζ32ζ30000−2ζ2ζ2ζ−2ζ00002ζ−2ζ−2ζ2ζ1−i−1+i−1+i1−i1−i−1+i−1+i1−i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1−i1+i1+i−1−i−1−i1+i1+i−1−i1+i−1−i−1−i1+i1+i−1−i−1−i1+i0000000000000000
χ1472-2-2-2222-2−2i2i2i2i−2i−2i−2i2i000000002-2-2200000000−2i2i2i−2i−222−2−222−22−2−222−2−22i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i200002ζ3−2ζ3−2ζ32ζ30000−2ζ32ζ32ζ3−2ζ300002ζ−2ζ−2ζ2ζ0000−2ζ2ζ2ζ−2ζ1−i−1+i−1+i1−i1−i−1+i−1+i1−i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1−i1+i1+i−1−i−1−i1+i1+i−1−i1+i−1−i−1−i1+i1+i−1−i−1−i1+i0000000000000000
χ1482-2-2-2222-2−2i2i2i2i−2i−2i−2i2i000000002-2-2200000000−2i2i2i−2i−222−2−222−22−2−222−2−22i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i20000−2ζ32ζ32ζ3−2ζ300002ζ3−2ζ3−2ζ32ζ30000−2ζ2ζ2ζ−2ζ00002ζ−2ζ−2ζ2ζ−1+i1−i1−i−1+i−1+i1−i1−i−1+i1−i−1+i−1+i1−i1−i−1+i−1+i1−i1+i−1−i−1−i1+i1+i−1−i−1−i1+i−1−i1+i1+i−1−i−1−i1+i1+i−1−i0000000000000000
χ1492-2-2-2222-2−2i2i2i2i−2i−2i−2i2i00000000-222-2000000002i−2i−2i2i2−2−22−222−2−222−22−2−22−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i22ζ3−2ζ3−2ζ32ζ30000−2ζ32ζ32ζ3−2ζ300002ζ−2ζ−2ζ2ζ0000−2ζ2ζ2ζ−2ζ0000−1+i1−i1−i−1+i1−i−1+i−1+i1−i1−i−1+i−1+i1−i−1+i1−i1−i−1+i1+i−1−i−1−i1+i−1−i1+i1+i−1−i−1−i1+i1+i−1−i1+i−1−i−1−i1+i0000000000000000
χ1502-2-2-2222-2−2i2i2i2i−2i−2i−2i2i00000000-222-2000000002i−2i−2i2i2−2−22−222−2−222−22−2−22−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−2ζ32ζ32ζ3−2ζ300002ζ3−2ζ3−2ζ32ζ30000−2ζ2ζ2ζ−2ζ00002ζ−2ζ−2ζ2ζ00001−i−1+i−1+i1−i−1+i1−i1−i−1+i−1+i1−i1−i−1+i1−i−1+i−1+i1−i−1−i1+i1+i−1−i1+i−1−i−1−i1+i1+i−1−i−1−i1+i−1−i1+i1+i−1−i0000000000000000
χ1512-2-2-2222-2−2i2i2i2i−2i−2i−2i2i00000000-222-2000000002i−2i−2i2i−222−22−2−222−2−22−222−2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i22ζ3−2ζ3−2ζ32ζ30000−2ζ32ζ32ζ3−2ζ300002ζ−2ζ−2ζ2ζ0000−2ζ2ζ2ζ−2ζ00001−i−1+i−1+i1−i−1+i1−i1−i−1+i−1+i1−i1−i−1+i1−i−1+i−1+i1−i−1−i1+i1+i−1−i1+i−1−i−1−i1+i1+i−1−i−1−i1+i−1−i1+i1+i−1−i0000000000000000
χ1522-2-2-2222-2−2i2i2i2i−2i−2i−2i2i00000000-222-2000000002i−2i−2i2i−222−22−2−222−2−22−222−2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2−2ζ32ζ32ζ3−2ζ300002ζ3−2ζ3−2ζ32ζ30000−2ζ2ζ2ζ−2ζ00002ζ−2ζ−2ζ2ζ0000−1+i1−i1−i−1+i1−i−1+i−1+i1−i1−i−1+i−1+i1−i−1+i1−i1−i−1+i1+i−1−i−1−i1+i−1−i1+i1+i−1−i−1−i1+i1+i−1−i1+i−1−i−1−i1+i0000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.