Finite Group Databasebeta

← Group #72317839

Character table — Group #72317839

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176
size11111111111111112222222222222222222222224444444444444444888888888888888888888888888888888888888888888888161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616323232323232323232323232323232323232323232323232
order12224444888888882222224444448888888888882222444488888888222222222222444444444444888888888888888888888888224444444444444444444444888888888888888888888888444444444444888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111
χ511111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11111
χ711111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ911111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ1011111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111-1-1-1-111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ1211111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111-1-1-1-111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ1311111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ1411111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ1511111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ1611111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ171111-1-1-1-1iiii−i−i−i−i111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−i1111-1-1-1-1iiii−i−i−i−i11-111111111-11-1-1-1-1-1-1-1-1-1-11iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1-111-1-11-11111-1-1-1-111-1-111-1-1ii−i−iii−i−iiiii−i−i−i−iii−i−iii−i−i11-1-111-1-1ii−i−iii−i−iii−i−i11-1-1
χ181111-1-1-1-1iiii−i−i−i−i111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−i1111-1-1-1-1iiii−i−i−i−i11-111111111-11-1-1-1-1-1-1-1-1-1-11iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i-11-1-111-111111-1-1-1-111-1-111-1-1−i−iii−i−iiiiiii−i−i−i−iii−i−iii−i−i-1-111-1-111−i−iii−i−iii−i−iii-1-111
χ191111-1-1-1-1iiii−i−i−i−i111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−i1111-1-1-1-1iiii−i−i−i−i11-11111-1-1-1-1-11-1-1-1-1-1-111111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii1-111-1-11-1-1-1-1-1111111-1-1-1-111ii−i−iii−i−i−i−i−i−iiiiiii−i−i−i−iii11-1-1-1-111−i−iiiii−i−i−i−iii-1-111
χ201111-1-1-1-1iiii−i−i−i−i111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−i1111-1-1-1-1iiii−i−i−i−i11-11111-1-1-1-1-11-1-1-1-1-1-111111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-11-1-111-11-1-1-1-1111111-1-1-1-111−i−iii−i−iii−i−i−i−iiiiiii−i−i−i−iii-1-11111-1-1ii−i−i−i−iiiii−i−i11-1-1
χ211111-1-1-1-1iiii−i−i−i−i111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−i1111-1-1-1-1iiii−i−i−i−i11-1-1-1-1-11111-11-1-11111-1-1-1-11iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i1-111-1-11-1-1-1-1-11111-1-11111-1-1ii−i−iii−i−i−i−i−i−iiiii−i−iiiii−i−i-1-11111-1-1−i−iii−i−iiiii−i−i-1-111
χ221111-1-1-1-1iiii−i−i−i−i111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−i1111-1-1-1-1iiii−i−i−i−i11-1-1-1-1-11111-11-1-11111-1-1-1-11iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-11-1-111-11-1-1-1-11111-1-11111-1-1−i−iii−i−iii−i−i−i−iiiii−i−iiiii−i−i11-1-1-1-111ii−i−iii−i−i−i−iii11-1-1
χ231111-1-1-1-1iiii−i−i−i−i111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−i1111-1-1-1-1iiii−i−i−i−i11-1-1-1-1-1-1-1-1-1-11-1-1111111111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii1-111-1-11-11111-1-1-1-1-1-111-1-111ii−i−iii−i−iiiii−i−i−i−i−i−iii−i−iii-1-111-1-111ii−i−i−i−iii−i−iii11-1-1
χ241111-1-1-1-1iiii−i−i−i−i111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−i1111-1-1-1-1iiii−i−i−i−i11-1-1-1-1-1-1-1-1-1-11-1-1111111111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-11-1-111-111111-1-1-1-1-1-111-1-111−i−iii−i−iiiiiii−i−i−i−i−i−iii−i−iii11-1-111-1-1−i−iiiii−i−iii−i−i-1-111
χ251111-1-1-1-1−i−i−i−iiiii111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii1111-1-1-1-1−i−i−i−iiiii11-111111111-11-1-1-1-1-1-1-1-1-1-11−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1-111-1-11-11111-1-1-1-111-1-111-1-1−i−iii−i−iii−i−i−i−iiiii−i−iii−i−iii11-1-111-1-1−i−iii−i−iii−i−iii11-1-1
χ261111-1-1-1-1−i−i−i−iiiii111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii1111-1-1-1-1−i−i−i−iiiii11-111111111-11-1-1-1-1-1-1-1-1-1-11−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii-11-1-111-111111-1-1-1-111-1-111-1-1ii−i−iii−i−i−i−i−i−iiiii−i−iii−i−iii-1-111-1-111ii−i−iii−i−iii−i−i-1-111
χ271111-1-1-1-1−i−i−i−iiiii111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii1111-1-1-1-1−i−i−i−iiiii11-11111-1-1-1-1-11-1-1-1-1-1-111111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i1-111-1-11-1-1-1-1-1111111-1-1-1-111−i−iii−i−iiiiiii−i−i−i−i−i−iiiii−i−i11-1-1-1-111ii−i−i−i−iiiii−i−i-1-111
χ281111-1-1-1-1−i−i−i−iiiii111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii1111-1-1-1-1−i−i−i−iiiii11-11111-1-1-1-1-11-1-1-1-1-1-111111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-11-1-111-11-1-1-1-1111111-1-1-1-111ii−i−iii−i−iiiii−i−i−i−i−i−iiiii−i−i-1-11111-1-1−i−iiiii−i−i−i−iii11-1-1
χ291111-1-1-1-1−i−i−i−iiiii111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii1111-1-1-1-1−i−i−i−iiiii11-1-1-1-1-11111-11-1-11111-1-1-1-11−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii1-111-1-11-1-1-1-1-11111-1-11111-1-1−i−iii−i−iiiiiii−i−i−i−iii−i−i−i−iii-1-11111-1-1ii−i−iii−i−i−i−iii-1-111
χ301111-1-1-1-1−i−i−i−iiiii111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii1111-1-1-1-1−i−i−i−iiiii11-1-1-1-1-11111-11-1-11111-1-1-1-11−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-11-1-111-11-1-1-1-11111-1-11111-1-1ii−i−iii−i−iiiii−i−i−i−iii−i−i−i−iii11-1-1-1-111−i−iii−i−iiiii−i−i11-1-1
χ311111-1-1-1-1−i−i−i−iiiii111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii1111-1-1-1-1−i−i−i−iiiii11-1-1-1-1-1-1-1-1-1-11-1-1111111111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i1-111-1-11-11111-1-1-1-1-1-111-1-111−i−iii−i−iii−i−i−i−iiiiiii−i−iii−i−i-1-111-1-111−i−iiiii−i−iii−i−i11-1-1
χ321111-1-1-1-1−i−i−i−iiiii111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii1111-1-1-1-1−i−i−i−iiiii11-1-1-1-1-1-1-1-1-1-11-1-1111111111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-11-1-111-111111-1-1-1-1-1-111-1-111ii−i−iii−i−i−i−i−i−iiiiiii−i−iii−i−i11-1-111-1-1ii−i−i−i−iii−i−iii-1-111
χ33222222222222222222222222222222222222222222-2-222-2-222-2-222-2-22-2-200002222-2-22-200002222-22-2-2-22-2-2-2000000002222222200000000000000000000-2-2-2-200000000000000000000-2-2-2-2000000000000000000000000
χ34222222222222222222222222222222222222222222-2-222-2-222-2-222-2-22-2-20000-2-2-2-2-2-22-20000-2-2-2-2-22-2-2-22-2-2-200000000-2-2-2-2-2-2-2-2000000000000000000002222000000000000000000002222000000000000000000000000
χ352222222222222222222222222222222222222222-2-222-2-222-2-222-2-222-22-222220000-2-2-2222220000-2-22-2-2-22-2-222222222000000000000000000000000-2-2-2-200000000000000000000-2-2-2-20000000000000000000000000000
χ362222222222222222222222222222222222222222-2-222-2-222-2-222-2-222-22-2-2-2-2-20000-2-2-22-2-2-2-20000-2-22-2-2-22-2-2-2-2-2-2-2-2-2-200000000000000000000000022220000000000000000000022220000000000000000000000000000
χ372222222222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-220000000022-2-2000000002-2-222-2-22200000000000000000000000022-2-222-2-2000000000000000022-2-222-2-200000000000000000000000000000000
χ382222222222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-220000000022-2-2000000002-2-222-2-222000000000000000000000000-2-222-2-2220000000000000000-2-222-2-22200000000000000000000000000000000
χ392222222222222222-2-2-2-222-2-2-2-22222-2-2-2-222-2-2-2-22222222222222222-2-2200000000-22-2-200000000-2-2-22-2-2-22-2000000000000000022-2-2-2-2220000000000000000-2-2-2-222220000000000000000000000000000000000000000
χ402222222222222222-2-2-2-222-2-2-2-22222-2-2-2-222-2-2-2-22222222222222222-2-2200000000-22-2-200000000-2-2-22-2-2-22-20000000000000000-2-22222-2-200000000000000002222-2-2-2-20000000000000000000000000000000000000000
χ412222222222222222-2-2-2-222-2-2-2-22222-2-2-2-222-2-2-2-222-2-222-2-222-2-222-2-2-22-2000000002-2-22000000002-22-22-22-22000000000000000000000000000000000000000000000000000000000000000000002-22-2000000002-22-20000
χ422222222222222222-2-2-2-222-2-2-2-22222-2-2-2-222-2-2-2-222-2-222-2-222-2-222-2-2-22-2000000002-2-22000000002-22-22-22-2200000000000000000000000000000000000000000000000000000000000000000000-22-2200000000-22-220000
χ432222222222222222-2-2-2-222-2-2-2-22222-2-2-2-222-2-2-2-2-2-222-2-222-2-222-2-2222-2-2000000002-22-20000000022-2-222-2-2200000000000000000000000000000000000000000000000000000000000000002-22-2000000002-22-200000000
χ442222222222222222-2-2-2-222-2-2-2-22222-2-2-2-222-2-2-2-2-2-222-2-222-2-222-2-2222-2-2000000002-22-20000000022-2-222-2-220000000000000000000000000000000000000000000000000000000000000000-22-2200000000-22-2200000000
χ452222222222222222-2-2-2-222-2-2-2-22222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222200000000-222200000000-2222-2222-20000000000000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i000000002i−2i2i−2i
χ462222222222222222-2-2-2-222-2-2-2-22222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222200000000-222200000000-2222-2222-2000000000000000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i00000000−2i2i−2i2i
χ4722222222-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-222-2-2-2-222-2-2222-2-200002222-2-22-200002222-2-2222-222200000000-2-2-2-2-2-2-2-200000000000000000000-2-2-2-2000000000000000000002222000000000000000000000000
χ4822222222-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-222-2-2-2-222-2-2222-2-20000-2-2-2-2-2-22-20000-2-2-2-2-2-2222-2222000000002222222200000000000000000000222200000000000000000000-2-2-2-2000000000000000000000000
χ4922222222-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-22222-2-222-2-2-22-222220000-2-2-2222220000-22-2222-222-2-2-2-2-2-2-2-2000000000000000000000000-2-2-2-20000000000000000000022220000000000000000000000000000
χ5022222222-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-22222-2-222-2-2-22-2-2-2-2-20000-2-2-22-2-2-2-20000-22-2222-22222222222000000000000000000000000222200000000000000000000-2-2-2-20000000000000000000000000000
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χ16988-8-88i−8i8i−8i8ζ8ζ−8ζ−8ζ8ζ38ζ3−8ζ3−8ζ300-880000−8i8i000000−8ζ8ζ0000−8ζ38ζ30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ17088-8-88i−8i8i−8i−8ζ−8ζ8ζ8ζ−8ζ3−8ζ38ζ38ζ300-880000−8i8i0000008ζ−8ζ00008ζ3−8ζ30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ17188-8-8−8i8i−8i8i8ζ38ζ3−8ζ3−8ζ38ζ8ζ−8ζ−8ζ00-8800008i−8i000000−8ζ38ζ30000−8ζ8ζ0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ17288-8-8−8i8i−8i8i−8ζ3−8ζ38ζ38ζ3−8ζ−8ζ8ζ8ζ00-8800008i−8i0000008ζ3−8ζ300008ζ−8ζ0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1738-88-88i−8i−8i8i8ζ3−8ζ38ζ3−8ζ38ζ−8ζ8ζ−8ζ-880000−8i8i000000−8ζ38ζ30000−8ζ8ζ000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1748-88-88i−8i−8i8i−8ζ38ζ3−8ζ38ζ3−8ζ8ζ−8ζ8ζ-880000−8i8i0000008ζ3−8ζ300008ζ−8ζ000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1758-88-8−8i8i8i−8i8ζ−8ζ8ζ−8ζ8ζ3−8ζ38ζ3−8ζ3-8800008i−8i000000−8ζ8ζ0000−8ζ38ζ3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1768-88-8−8i8i8i−8i−8ζ8ζ−8ζ8ζ−8ζ38ζ3−8ζ38ζ3-8800008i−8i0000008ζ−8ζ00008ζ3−8ζ3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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