Finite Group Databasebeta

← Group #6373521

Character table — Group #6373521

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176
size11111111111111112222222222222222222222222222222222222222222222222222222288888888888888881111111111111111222222222222222222222222222222222222222222222222222222228888888888888888
order12224444888888882244444444444444444444444444888888888888888888888888888822444444888888882222444488888888224444444444444444444444444488888888888888888888888888882244444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ5111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-1111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-1
χ6111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-111
χ7111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-1-11111-1-1-1-111
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1111-1-1-1-11111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1111-1-1-1-11111-1-1
χ911111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ1011111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ1111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1
χ1211111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111
χ1311111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-11-1-1-111-1-11111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-11-1-1-111-1-11111-1-1
χ1411111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-11-1111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-11-1111-1-111-1-1-1-111
χ1511111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-11-111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-11-111-1-1-1-111-1-111
χ1611111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-11-11-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-11-11-1-11111-1-111-1-1
χ171111-1-1-1-1iiii−i−i−i−i-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11ii−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-111-1-11-11-1i−ii−ii−ii−i1111-1-1-1-1iiii−i−i−i−i-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11ii−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-111-1-11-11-1i−ii−ii−ii−i
χ181111-1-1-1-1iiii−i−i−i−i-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11ii−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1-1-111-11-11−ii−ii−ii−ii1111-1-1-1-1iiii−i−i−i−i-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11ii−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1-1-111-11-11−ii−ii−ii−ii
χ191111-1-1-1-1iiii−i−i−i−i-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11ii−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-1111111-1-1-11-11i−ii−i−ii−ii1111-1-1-1-1iiii−i−i−i−i-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11ii−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-1111111-1-1-11-11i−ii−i−ii−ii
χ201111-1-1-1-1iiii−i−i−i−i-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11ii−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111-1-1111-11-1−ii−iii−ii−i1111-1-1-1-1iiii−i−i−i−i-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11ii−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111-1-1111-11-1−ii−iii−ii−i
χ211111-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11ii−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-111111-1-111-1-11i−i−iii−i−ii1111-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11ii−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-111111-1-111-1-11i−i−iii−i−ii
χ221111-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11ii−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111-111-1-111-1−iii−i−iii−i1111-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11ii−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111-111-1-111-1−iii−i−iii−i
χ231111-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11ii−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-11-1-11-111-1i−i−ii−iii−i1111-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11ii−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-11-1-11-111-1i−i−ii−iii−i
χ241111-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11ii−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1-111-11-1-11−iii−ii−i−ii1111-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11ii−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1-111-11-1-11−iii−ii−i−ii
χ251111-1-1-1-1−i−i−i−iiiii-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11−i−iii−i−i−i−iiiii-1-1-1-11111-1-1-1-1111111-1-1-11-11−ii−iii−ii−i1111-1-1-1-1−i−i−i−iiiii-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11−i−iii−i−i−i−iiiii-1-1-1-11111-1-1-1-1111111-1-1-11-11−ii−iii−ii−i
χ261111-1-1-1-1−i−i−i−iiiii-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11−i−iii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111-1-1111-11-1i−ii−i−ii−ii1111-1-1-1-1−i−i−i−iiiii-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11−i−iii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111-1-1111-11-1i−ii−i−ii−ii
χ271111-1-1-1-1−i−i−i−iiiii-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11−i−iii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-111-1-11-11-1−ii−ii−ii−ii1111-1-1-1-1−i−i−i−iiiii-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11−i−iii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-111-1-11-11-1−ii−ii−ii−ii
χ281111-1-1-1-1−i−i−i−iiiii-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11−i−iii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1-1-111-11-11i−ii−ii−ii−i1111-1-1-1-1−i−i−i−iiiii-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11−i−iii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1-1-111-11-11i−ii−ii−ii−i
χ291111-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11−i−iiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-11-1-11-111-1−iii−ii−i−ii1111-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11−i−iiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-11-1-11-111-1−iii−ii−i−ii
χ301111-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11−i−iiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1-111-11-1-11i−i−ii−iii−i1111-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11−i−iiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1-111-11-1-11i−i−ii−iii−i
χ311111-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11−i−iiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-111111-1-111-1-11−iii−i−iii−i1111-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11−i−iiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-111111-1-111-1-11−iii−i−iii−i
χ321111-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11−i−iiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111-111-1-111-1i−i−iii−i−ii1111-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11−i−iiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111-111-1-111-1i−i−iii−i−ii
χ332222222222222222-2-222-2-222-2-20000000000000000-2-2-2-2-2-222-2-222-2-2000000000000000000000000000000002222222222222222-2-222-2-222-2-20000000000000000-2-2-2-2-2-222-2-222-2-200000000000000000000000000000000
χ342222222222222222-2-2-2-222-2-2220000000000000000-2-2-2-2-2-2-2-222-2-222000000000000000000000000000000002222222222222222-2-2-2-222-2-2220000000000000000-2-2-2-2-2-2-2-222-2-22200000000000000000000000000000000
χ3522222222-2-2-2-2-2-2-2-2-2-222-2-222-2-20000000000000000-2-22222-2-222-2-2220000000000000000000000000000000022222222-2-2-2-2-2-2-2-2-2-222-2-222-2-20000000000000000-2-22222-2-222-2-22200000000000000000000000000000000
χ3622222222-2-2-2-2-2-2-2-2-2-2-2-222-2-2220000000000000000-2-2222222-2-222-2-20000000000000000000000000000000022222222-2-2-2-2-2-2-2-2-2-2-2-222-2-2220000000000000000-2-2222222-2-222-2-200000000000000000000000000000000
χ372222-2-2-2-22i2i2i2i−2i−2i−2i−2i2222-2-2-2-2220000000000000000-2-2−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000000000002222-2-2-2-22i2i2i2i−2i−2i−2i−2i2222-2-2-2-2220000000000000000-2-2−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000
χ382222-2-2-2-22i2i2i2i−2i−2i−2i−2i22-2-22222-2-20000000000000000-2-2−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000002222-2-2-2-22i2i2i2i−2i−2i−2i−2i22-2-22222-2-20000000000000000-2-2−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000
χ392222-2-2-2-2−2i−2i−2i−2i2i2i2i2i2222-2-2-2-2220000000000000000-2-22i2i−2i−2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000002222-2-2-2-2−2i−2i−2i−2i2i2i2i2i2222-2-2-2-2220000000000000000-2-22i2i−2i−2i−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000
χ402222-2-2-2-2−2i−2i−2i−2i2i2i2i2i22-2-22222-2-20000000000000000-2-22i2i−2i−2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000000000002222-2-2-2-2−2i−2i−2i−2i2i2i2i2i22-2-22222-2-20000000000000000-2-22i2i−2i−2i2i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000
χ4122-2-222-2-222-2-222-2-22-200000000000000002i2i−2i−2i2i2i−2i−2i2-22-22-200000000000000002i2i−2i−2i2i2i−2i−2i000000000000000022-2-222-2-222-2-222-2-22-200000000000000002i2i−2i−2i2i2i−2i−2i2-22-22-200000000000000002i2i−2i−2i2i2i−2i−2i0000000000000000
χ4222-2-222-2-222-2-222-2-22-20000000000000000−2i−2i2i2i−2i−2i2i2i2-22-22-20000000000000000−2i−2i2i2i−2i−2i2i2i000000000000000022-2-222-2-222-2-222-2-22-20000000000000000−2i−2i2i2i−2i−2i2i2i2-22-22-20000000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000
χ4322-2-222-2-222-2-222-2-2-22000000002i2i−2i−2i2i2i−2i−2i00000000-22-22-22000000002i2i−2i−2i2i2i−2i−2i00000000000000000000000022-2-222-2-222-2-222-2-2-22000000002i2i−2i−2i2i2i−2i−2i00000000-22-22-22000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000
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χ882-2-22−2i2i2i−2i−2ζ32ζ32ζ3−2ζ3−2ζ2ζ2ζ−2ζ00-22002i−2i00−1−i1+i1+i−1−i1−i−1+i−1+i1−i1+i−1−i−1−i1+i−1+i1−i1−i−1+i0000002ζ3−2ζ3002ζ−2ζ00−i2i2i2−i2−222−2i2−i2−i2i22−2−2200000000000000002-2-22−2i2i2i−2i−2ζ32ζ32ζ3−2ζ3−2ζ2ζ2ζ−2ζ00-22002i−2i00−1−i1+i1+i−1−i1−i−1+i−1+i1−i1+i−1−i−1−i1+i−1+i1−i1−i−1+i0000002ζ3−2ζ3002ζ−2ζ00−i2i2i2−i2−222−2i2−i2−i2i22−2−220000000000000000
χ891111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ90111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
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χ9211111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1
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χ96111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-11-1-1-11111-1-1-1-111
χ9711111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-111111111-1-1-1-1
χ9811111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-11111
χ9911111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ10011111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ10111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-11-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1111-1-111-1-1-1-111
χ10211111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-11-1111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-1-111-1-11111-1-1
χ10311111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-11-111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-1-11111-1-111-1-1
χ10411111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-11-11-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-111-1-1-1-111-1-111
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χ1071111-1-1-1-1iiii−i−i−i−i-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11ii−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-1111111-1-1-11-11i−ii−i−ii−ii-1-1-1-11111−i−i−i−iiiii11-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i-1-1−i−iii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1-1-1111-11-1−ii−iii−ii−i
χ1081111-1-1-1-1iiii−i−i−i−i-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11ii−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111-1-1111-11-1−ii−iii−ii−i-1-1-1-11111−i−i−i−iiiii11-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i-1-1−i−iii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-111-1-1-11-11i−ii−i−ii−ii
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χ1532-22-2−2i2i−2i2i2ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ00002-200−2i2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i000000002ζ3−2ζ3002ζ−2ζ−22−22i2−i2i2−i2−22−22i2−i2i2−i20000000000000000-22-222i−2i2i−2i−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ0000-22002i−2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000−2ζ32ζ300−2ζ2ζ2−22−2−i2i2−i2i22−22−2−i2i2−i2i20000000000000000
χ1542-22-2−2i2i−2i2i2ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ00002-200−2i2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000002ζ3−2ζ3002ζ−2ζ2−22−2−i2i2−i2i22−22−2−i2i2−i2i20000000000000000-22-222i−2i2i−2i−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ0000-22002i−2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000−2ζ32ζ300−2ζ2ζ−22−22i2−i2i2−i2−22−22i2−i2i2−i20000000000000000
χ1552-22-2−2i2i−2i2i2ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ0000-22002i−2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000−2ζ32ζ300−2ζ2ζ−22−22i2−i2i2−i22−22−2−i2i2−i2i20000000000000000-22-222i−2i2i−2i−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ00002-200−2i2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i000000002ζ3−2ζ3002ζ−2ζ2−22−2−i2i2−i2i2−22−22i2−i2i2−i20000000000000000
χ1562-22-2−2i2i−2i2i2ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ0000-22002i−2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000−2ζ32ζ300−2ζ2ζ2−22−2−i2i2−i2i2−22−22i2−i2i2−i20000000000000000-22-222i−2i2i−2i−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ00002-200−2i2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000002ζ3−2ζ3002ζ−2ζ−22−22i2−i2i2−i22−22−2−i2i2−i2i20000000000000000
χ1572-22-2−2i2i−2i2i−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ00002-200−2i2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000−2ζ32ζ300−2ζ2ζ2−22−2−i2i2−i2i22−22−2−i2i2−i2i20000000000000000-22-222i−2i2i−2i2ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ0000-22002i−2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000002ζ3−2ζ3002ζ−2ζ−22−22i2−i2i2−i2−22−22i2−i2i2−i20000000000000000
χ1582-22-2−2i2i−2i2i−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ00002-200−2i2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000−2ζ32ζ300−2ζ2ζ−22−22i2−i2i2−i2−22−22i2−i2i2−i20000000000000000-22-222i−2i2i−2i2ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ0000-22002i−2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i000000002ζ3−2ζ3002ζ−2ζ2−22−2−i2i2−i2i22−22−2−i2i2−i2i20000000000000000
χ1592-22-2−2i2i−2i2i−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ0000-22002i−2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000002ζ3−2ζ3002ζ−2ζ2−22−2−i2i2−i2i2−22−22i2−i2i2−i20000000000000000-22-222i−2i2i−2i2ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ00002-200−2i2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000−2ζ32ζ300−2ζ2ζ−22−22i2−i2i2−i22−22−2−i2i2−i2i20000000000000000
χ1602-22-2−2i2i−2i2i−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ0000-22002i−2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i000000002ζ3−2ζ3002ζ−2ζ−22−22i2−i2i2−i22−22−2−i2i2−i2i20000000000000000-22-222i−2i2i−2i2ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ00002-200−2i2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000−2ζ32ζ300−2ζ2ζ2−22−2−i2i2−i2i2−22−22i2−i2i2−i20000000000000000
χ1612-2-222i−2i−2i2i2ζ−2ζ−2ζ2ζ2ζ3−2ζ3−2ζ32ζ3002-2002i−2i001−i−1+i−1+i1−i−1−i1+i1+i−1−i1−i−1+i−1+i1−i−1−i1+i1+i−1−i0000002ζ−2ζ002ζ3−2ζ300−i2i2i2−i22−2−22−i2i2i2−i22−2−220000000000000000-222-2−2i2i2i−2i−2ζ2ζ2ζ−2ζ−2ζ32ζ32ζ3−2ζ300-2200−2i2i00−1+i1−i1−i−1+i1+i−1−i−1−i1+i−1+i1−i1−i−1+i1+i−1−i−1−i1+i000000−2ζ2ζ00−2ζ32ζ300i2−i2−i2i2−222−2i2−i2−i2i2−222−20000000000000000
χ1622-2-222i−2i−2i2i2ζ−2ζ−2ζ2ζ2ζ3−2ζ3−2ζ32ζ3002-2002i−2i00−1+i1−i1−i−1+i1+i−1−i−1−i1+i−1+i1−i1−i−1+i1+i−1−i−1−i1+i0000002ζ−2ζ002ζ3−2ζ300i2−i2−i2i2−222−2i2−i2−i2i2−222−20000000000000000-222-2−2i2i2i−2i−2ζ2ζ2ζ−2ζ−2ζ32ζ32ζ3−2ζ300-2200−2i2i001−i−1+i−1+i1−i−1−i1+i1+i−1−i1−i−1+i−1+i1−i−1−i1+i1+i−1−i000000−2ζ2ζ00−2ζ32ζ300−i2i2i2−i22−2−22−i2i2i2−i22−2−220000000000000000
χ1632-2-222i−2i−2i2i2ζ−2ζ−2ζ2ζ2ζ3−2ζ3−2ζ32ζ300-2200−2i2i001−i−1+i−1+i1−i−1−i1+i1+i−1−i−1+i1−i1−i−1+i1+i−1−i−1−i1+i000000−2ζ2ζ00−2ζ32ζ300−i2i2i2−i22−2−22i2−i2−i2i2−222−20000000000000000-222-2−2i2i2i−2i−2ζ2ζ2ζ−2ζ−2ζ32ζ32ζ3−2ζ3002-2002i−2i00−1+i1−i1−i−1+i1+i−1−i−1−i1+i1−i−1+i−1+i1−i−1−i1+i1+i−1−i0000002ζ−2ζ002ζ3−2ζ300i2−i2−i2i2−222−2−i2i2i2−i22−2−220000000000000000
χ1642-2-222i−2i−2i2i2ζ−2ζ−2ζ2ζ2ζ3−2ζ3−2ζ32ζ300-2200−2i2i00−1+i1−i1−i−1+i1+i−1−i−1−i1+i1−i−1+i−1+i1−i−1−i1+i1+i−1−i000000−2ζ2ζ00−2ζ32ζ300i2−i2−i2i2−222−2−i2i2i2−i22−2−220000000000000000-222-2−2i2i2i−2i−2ζ2ζ2ζ−2ζ−2ζ32ζ32ζ3−2ζ3002-2002i−2i001−i−1+i−1+i1−i−1−i1+i1+i−1−i−1+i1−i1−i−1+i1+i−1−i−1−i1+i0000002ζ−2ζ002ζ3−2ζ300−i2i2i2−i22−2−22i2−i2−i2i2−222−20000000000000000
χ1652-2-222i−2i−2i2i−2ζ2ζ2ζ−2ζ−2ζ32ζ32ζ3−2ζ3002-2002i−2i001−i−1+i−1+i1−i−1−i1+i1+i−1−i1−i−1+i−1+i1−i−1−i1+i1+i−1−i000000−2ζ2ζ00−2ζ32ζ300i2−i2−i2i2−222−2i2−i2−i2i2−222−20000000000000000-222-2−2i2i2i−2i2ζ−2ζ−2ζ2ζ2ζ3−2ζ3−2ζ32ζ300-2200−2i2i00−1+i1−i1−i−1+i1+i−1−i−1−i1+i−1+i1−i1−i−1+i1+i−1−i−1−i1+i0000002ζ−2ζ002ζ3−2ζ300−i2i2i2−i22−2−22−i2i2i2−i22−2−220000000000000000
χ1662-2-222i−2i−2i2i−2ζ2ζ2ζ−2ζ−2ζ32ζ32ζ3−2ζ3002-2002i−2i00−1+i1−i1−i−1+i1+i−1−i−1−i1+i−1+i1−i1−i−1+i1+i−1−i−1−i1+i000000−2ζ2ζ00−2ζ32ζ300−i2i2i2−i22−2−22−i2i2i2−i22−2−220000000000000000-222-2−2i2i2i−2i2ζ−2ζ−2ζ2ζ2ζ3−2ζ3−2ζ32ζ300-2200−2i2i001−i−1+i−1+i1−i−1−i1+i1+i−1−i1−i−1+i−1+i1−i−1−i1+i1+i−1−i0000002ζ−2ζ002ζ3−2ζ300i2−i2−i2i2−222−2i2−i2−i2i2−222−20000000000000000
χ1672-2-222i−2i−2i2i−2ζ2ζ2ζ−2ζ−2ζ32ζ32ζ3−2ζ300-2200−2i2i001−i−1+i−1+i1−i−1−i1+i1+i−1−i−1+i1−i1−i−1+i1+i−1−i−1−i1+i0000002ζ−2ζ002ζ3−2ζ300i2−i2−i2i2−222−2−i2i2i2−i22−2−220000000000000000-222-2−2i2i2i−2i2ζ−2ζ−2ζ2ζ2ζ3−2ζ3−2ζ32ζ3002-2002i−2i00−1+i1−i1−i−1+i1+i−1−i−1−i1+i1−i−1+i−1+i1−i−1−i1+i1+i−1−i000000−2ζ2ζ00−2ζ32ζ300−i2i2i2−i22−2−22i2−i2−i2i2−222−20000000000000000
χ1682-2-222i−2i−2i2i−2ζ2ζ2ζ−2ζ−2ζ32ζ32ζ3−2ζ300-2200−2i2i00−1+i1−i1−i−1+i1+i−1−i−1−i1+i1−i−1+i−1+i1−i−1−i1+i1+i−1−i0000002ζ−2ζ002ζ3−2ζ300−i2i2i2−i22−2−22i2−i2−i2i2−222−20000000000000000-222-2−2i2i2i−2i2ζ−2ζ−2ζ2ζ2ζ3−2ζ3−2ζ32ζ3002-2002i−2i001−i−1+i−1+i1−i−1−i1+i1+i−1−i−1+i1−i1−i−1+i1+i−1−i−1−i1+i000000−2ζ2ζ00−2ζ32ζ300i2−i2−i2i2−222−2−i2i2i2−i22−2−220000000000000000
χ1692-2-22−2i2i2i−2i2ζ3−2ζ3−2ζ32ζ32ζ−2ζ−2ζ2ζ002-200−2i2i001+i−1−i−1−i1+i−1+i1−i1−i−1+i1+i−1−i−1−i1+i−1+i1−i1−i−1+i0000002ζ3−2ζ3002ζ−2ζ00−i2i2i2−i2−222−2−i2i2i2−i2−222−20000000000000000-222-22i−2i−2i2i−2ζ32ζ32ζ3−2ζ3−2ζ2ζ2ζ−2ζ00-22002i−2i00−1−i1+i1+i−1−i1−i−1+i−1+i1−i−1−i1+i1+i−1−i1−i−1+i−1+i1−i000000−2ζ32ζ300−2ζ2ζ00i2−i2−i2i22−2−22i2−i2−i2i22−2−220000000000000000
χ1702-2-22−2i2i2i−2i2ζ3−2ζ3−2ζ32ζ32ζ−2ζ−2ζ2ζ002-200−2i2i00−1−i1+i1+i−1−i1−i−1+i−1+i1−i−1−i1+i1+i−1−i1−i−1+i−1+i1−i0000002ζ3−2ζ3002ζ−2ζ00i2−i2−i2i22−2−22i2−i2−i2i22−2−220000000000000000-222-22i−2i−2i2i−2ζ32ζ32ζ3−2ζ3−2ζ2ζ2ζ−2ζ00-22002i−2i001+i−1−i−1−i1+i−1+i1−i1−i−1+i1+i−1−i−1−i1+i−1+i1−i1−i−1+i000000−2ζ32ζ300−2ζ2ζ00−i2i2i2−i2−222−2−i2i2i2−i2−222−20000000000000000
χ1712-2-22−2i2i2i−2i2ζ3−2ζ3−2ζ32ζ32ζ−2ζ−2ζ2ζ00-22002i−2i001+i−1−i−1−i1+i−1+i1−i1−i−1+i−1−i1+i1+i−1−i1−i−1+i−1+i1−i000000−2ζ32ζ300−2ζ2ζ00−i2i2i2−i2−222−2i2−i2−i2i22−2−220000000000000000-222-22i−2i−2i2i−2ζ32ζ32ζ3−2ζ3−2ζ2ζ2ζ−2ζ002-200−2i2i00−1−i1+i1+i−1−i1−i−1+i−1+i1−i1+i−1−i−1−i1+i−1+i1−i1−i−1+i0000002ζ3−2ζ3002ζ−2ζ00i2−i2−i2i22−2−22−i2i2i2−i2−222−20000000000000000
χ1722-2-22−2i2i2i−2i2ζ3−2ζ3−2ζ32ζ32ζ−2ζ−2ζ2ζ00-22002i−2i00−1−i1+i1+i−1−i1−i−1+i−1+i1−i1+i−1−i−1−i1+i−1+i1−i1−i−1+i000000−2ζ32ζ300−2ζ2ζ00i2−i2−i2i22−2−22−i2i2i2−i2−222−20000000000000000-222-22i−2i−2i2i−2ζ32ζ32ζ3−2ζ3−2ζ2ζ2ζ−2ζ002-200−2i2i001+i−1−i−1−i1+i−1+i1−i1−i−1+i−1−i1+i1+i−1−i1−i−1+i−1+i1−i0000002ζ3−2ζ3002ζ−2ζ00−i2i2i2−i2−222−2i2−i2−i2i22−2−220000000000000000
χ1732-2-22−2i2i2i−2i−2ζ32ζ32ζ3−2ζ3−2ζ2ζ2ζ−2ζ002-200−2i2i001+i−1−i−1−i1+i−1+i1−i1−i−1+i1+i−1−i−1−i1+i−1+i1−i1−i−1+i000000−2ζ32ζ300−2ζ2ζ00i2−i2−i2i22−2−22i2−i2−i2i22−2−220000000000000000-222-22i−2i−2i2i2ζ3−2ζ3−2ζ32ζ32ζ−2ζ−2ζ2ζ00-22002i−2i00−1−i1+i1+i−1−i1−i−1+i−1+i1−i−1−i1+i1+i−1−i1−i−1+i−1+i1−i0000002ζ3−2ζ3002ζ−2ζ00−i2i2i2−i2−222−2−i2i2i2−i2−222−20000000000000000
χ1742-2-22−2i2i2i−2i−2ζ32ζ32ζ3−2ζ3−2ζ2ζ2ζ−2ζ002-200−2i2i00−1−i1+i1+i−1−i1−i−1+i−1+i1−i−1−i1+i1+i−1−i1−i−1+i−1+i1−i000000−2ζ32ζ300−2ζ2ζ00−i2i2i2−i2−222−2−i2i2i2−i2−222−20000000000000000-222-22i−2i−2i2i2ζ3−2ζ3−2ζ32ζ32ζ−2ζ−2ζ2ζ00-22002i−2i001+i−1−i−1−i1+i−1+i1−i1−i−1+i1+i−1−i−1−i1+i−1+i1−i1−i−1+i0000002ζ3−2ζ3002ζ−2ζ00i2−i2−i2i22−2−22i2−i2−i2i22−2−220000000000000000
χ1752-2-22−2i2i2i−2i−2ζ32ζ32ζ3−2ζ3−2ζ2ζ2ζ−2ζ00-22002i−2i001+i−1−i−1−i1+i−1+i1−i1−i−1+i−1−i1+i1+i−1−i1−i−1+i−1+i1−i0000002ζ3−2ζ3002ζ−2ζ00i2−i2−i2i22−2−22−i2i2i2−i2−222−20000000000000000-222-22i−2i−2i2i2ζ3−2ζ3−2ζ32ζ32ζ−2ζ−2ζ2ζ002-200−2i2i00−1−i1+i1+i−1−i1−i−1+i−1+i1−i1+i−1−i−1−i1+i−1+i1−i1−i−1+i000000−2ζ32ζ300−2ζ2ζ00−i2i2i2−i2−222−2i2−i2−i2i22−2−220000000000000000
χ1762-2-22−2i2i2i−2i−2ζ32ζ32ζ3−2ζ3−2ζ2ζ2ζ−2ζ00-22002i−2i00−1−i1+i1+i−1−i1−i−1+i−1+i1−i1+i−1−i−1−i1+i−1+i1−i1−i−1+i0000002ζ3−2ζ3002ζ−2ζ00−i2i2i2−i2−222−2i2−i2−i2i22−2−220000000000000000-222-22i−2i−2i2i2ζ3−2ζ3−2ζ32ζ32ζ−2ζ−2ζ2ζ002-200−2i2i001+i−1−i−1−i1+i−1+i1−i1−i−1+i−1−i1+i1+i−1−i1−i−1+i−1+i1−i000000−2ζ32ζ300−2ζ2ζ00i2−i2−i2i22−2−22−i2i2i2−i2−222−20000000000000000

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