Finite Group Databasebeta

← Group #72231985

Character table — Group #72231985

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170
size111122222222222222224444444444444444444444444444444448888888888888888888888888888888888888888888888816161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616323232323232323232323232323232323232323232323232
order1222444444444444888822244444488888888888888881616161616161616888888888888888161616161616161616161616161616163232323232323232323232323232323216161616161616161616161616161616161616161616323232323232323232323232323232323232323232323232161616161616161616161616161616161616161616161616
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ51111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−i
χ61111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiiiiii
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-1111111111111iiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiii
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1111111111111−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i
χ9111111111111-1-1-1-11111-1-1-1111-1-1-1111111-1-1iiii−i−i−i−i1111-1-1-1-1-1-1-1iiiiii−i−i−i−i−i−i111111-1-1-1-1-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−iiii−i−i−iζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−iζ2ζ2ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6−ζ6−ζ6−ζ6
χ10111111111111-1-1-1-11111-1-1-1111-1-1-1111111-1-1iiii−i−i−i−i1111-1-1-1-1-1-1-1iiiiii−i−i−i−i−i−i111111-1-1-1-1-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−iiii−i−i−i−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−i−ζ2−ζ2−ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6ζ6ζ6ζ6
χ11111111111111-1-1-1-11111-1-1-1111-1-1-1111111-1-1iiii−i−i−i−i1111-1-1-1-1-1-1-1iiiiii−i−i−i−i−i−i111111-1-1-1-1-1-1ii−i−i-1-1-1-11111−i−i−i−iiiiiiii−i−i−iζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6-1-1-1-1-1-1111111−i−i−i−i−i−iiiiiiiζ2ζ2ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ2−ζ2−ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6ζ6ζ6ζ6
χ12111111111111-1-1-1-11111-1-1-1111-1-1-1111111-1-1iiii−i−i−i−i1111-1-1-1-1-1-1-1iiiiii−i−i−i−i−i−i111111-1-1-1-1-1-1ii−i−i-1-1-1-11111−i−i−i−iiiiiiii−i−i−i−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6-1-1-1-1-1-1111111−i−i−i−i−i−iiiiiii−ζ2−ζ2−ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ2ζ2ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6−ζ6−ζ6−ζ6
χ13111111111111-1-1-1-11111-1-1-1111-1-1-1111111-1-1−i−i−i−iiiii1111-1-1-1-1-1-1-1−i−i−i−i−i−iiiiiii111111-1-1-1-1-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−iiiiζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiiiζ6ζ6ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2−ζ2−ζ2−ζ2
χ14111111111111-1-1-1-11111-1-1-1111-1-1-1111111-1-1−i−i−i−iiiii1111-1-1-1-1-1-1-1−i−i−i−i−i−iiiiiii111111-1-1-1-1-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−iiii−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii−ζ6−ζ6−ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2ζ2ζ2ζ2
χ15111111111111-1-1-1-11111-1-1-1111-1-1-1111111-1-1−i−i−i−iiiii1111-1-1-1-1-1-1-1−i−i−i−i−i−iiiiiii111111-1-1-1-1-1-1−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−iiiiζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2-1-1-1-1-1-1111111iiiiii−i−i−i−i−i−iζ6ζ6ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ6−ζ6−ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2ζ2ζ2ζ2
χ16111111111111-1-1-1-11111-1-1-1111-1-1-1111111-1-1−i−i−i−iiiii1111-1-1-1-1-1-1-1−i−i−i−i−i−iiiiiii111111-1-1-1-1-1-1−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−iiii−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2-1-1-1-1-1-1111111iiiiii−i−i−i−i−i−i−ζ6−ζ6−ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ6ζ6ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2−ζ2−ζ2−ζ2
χ17111111-1-1-1-111111111111-1-11-1-11-1-111-1-1-1-11111111111111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1111111111111111111111-1-11-1-1111111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11-1-11-1-11-1-11-1-11-1-11-1-11-1-11-1-1
χ18111111-1-1-1-111111111111-1-11-1-11-1-111-1-1-1-11111111111111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-111-111-111-111-111-111-111-111
χ19111111-1-1-1-111111111111-1-11-1-11-1-111-1-1-1-11111111111111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-111111-1-11-1-11-1-11-1-1-111-111-111-111
χ20111111-1-1-1-111111111111-1-11-1-11-1-111-1-1-1-11111111111111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-11111-1-11111-111-111-111-1111-1-11-1-11-1-11-1-1
χ21111111-1-1-1-111111111111-1-11-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-111iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-111-1-1-1-1-1-11111-1-11111i−i−ii−i−i−iii−iiii−i−ii−i−i−iii−iii
χ22111111-1-1-1-111111111111-1-11-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-111−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-111-1-1-1-1-1-11111-1-11111−iii−iiii−i−ii−i−i−iii−iiii−i−ii−i−i
χ23111111-1-1-1-111111111111-1-11-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-111iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1111111-1-1-1-111-1-1-1-1i−i−ii−i−i−iii−iii−iii−iiii−i−ii−i−i
χ24111111-1-1-1-111111111111-1-11-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-111−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1111111-1-1-1-111-1-1-1-1−iii−iiii−i−ii−i−ii−i−ii−i−i−iii−iii
χ25111111-1-1-1-111-1-1-1-11111-1111-1-1-11111-1-1-1-1-1-1iiii−i−i−i−i1111-1-1-1-1-111ii−i−i−i−i−i−iiiii11-1-1-1-1-1-11111ii−i−i1111-1-1-1-1iiii−i−i−i−ii−i−i−iiiζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ611-1-1-1-1-1-11111ii−i−i−i−i−i−iiiiiζ2−ζ2−ζ2−ζ2ζ2ζ2ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ6−ζ6−ζ6−ζ6ζ6ζ6
χ26111111-1-1-1-111-1-1-1-11111-1111-1-1-11111-1-1-1-1-1-1iiii−i−i−i−i1111-1-1-1-1-111ii−i−i−i−i−i−iiiii11-1-1-1-1-1-11111ii−i−i1111-1-1-1-1iiii−i−i−i−ii−i−i−iii−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ611-1-1-1-1-1-11111ii−i−i−i−i−i−iiiii−ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ6ζ6ζ6ζ6−ζ6−ζ6
χ27111111-1-1-1-111-1-1-1-11111-1111-1-1-11111-1-1-1-1-1-1iiii−i−i−i−i1111-1-1-1-1-111ii−i−i−i−i−i−iiiii11-1-1-1-1-1-11111ii−i−i-1-1-1-11111−i−i−i−iiiiii−i−i−iiiζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6-1-1111111-1-1-1-1−i−iiiiiii−i−i−i−iζ2−ζ2−ζ2−ζ2ζ2ζ2ζ6−ζ6−ζ6−ζ6ζ6ζ6−ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ6ζ6ζ6ζ6−ζ6−ζ6
χ28111111-1-1-1-111-1-1-1-11111-1111-1-1-11111-1-1-1-1-1-1iiii−i−i−i−i1111-1-1-1-1-111ii−i−i−i−i−i−iiiii11-1-1-1-1-1-11111ii−i−i-1-1-1-11111−i−i−i−iiiiii−i−i−iii−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6-1-1111111-1-1-1-1−i−iiiiiii−i−i−i−i−ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ6ζ6ζ6ζ6−ζ6−ζ6ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ6−ζ6−ζ6−ζ6ζ6ζ6
χ29111111-1-1-1-111-1-1-1-11111-1111-1-1-11111-1-1-1-1-1-1−i−i−i−iiiii1111-1-1-1-1-111−i−iiiiiii−i−i−i−i11-1-1-1-1-1-11111−i−iii1111-1-1-1-1−i−i−i−iiiii−iiii−i−iζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ211-1-1-1-1-1-11111−i−iiiiiii−i−i−i−iζ6−ζ6−ζ6−ζ6ζ6ζ6ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ2−ζ2−ζ2−ζ2ζ2ζ2
χ30111111-1-1-1-111-1-1-1-11111-1111-1-1-11111-1-1-1-1-1-1−i−i−i−iiiii1111-1-1-1-1-111−i−iiiiiii−i−i−i−i11-1-1-1-1-1-11111−i−iii1111-1-1-1-1−i−i−i−iiiii−iiii−i−i−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ211-1-1-1-1-1-11111−i−iiiiiii−i−i−i−i−ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ2ζ2ζ2ζ2−ζ2−ζ2
χ31111111-1-1-1-111-1-1-1-11111-1111-1-1-11111-1-1-1-1-1-1−i−i−i−iiiii1111-1-1-1-1-111−i−iiiiiii−i−i−i−i11-1-1-1-1-1-11111−i−iii-1-1-1-11111iiii−i−i−i−i−iiii−i−iζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2-1-1111111-1-1-1-1ii−i−i−i−i−i−iiiiiζ6−ζ6−ζ6−ζ6ζ6ζ6ζ2−ζ2−ζ2−ζ2ζ2ζ2−ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ2ζ2ζ2ζ2−ζ2−ζ2
χ32111111-1-1-1-111-1-1-1-11111-1111-1-1-11111-1-1-1-1-1-1−i−i−i−iiiii1111-1-1-1-1-111−i−iiiiiii−i−i−i−i11-1-1-1-1-1-11111−i−iii-1-1-1-11111iiii−i−i−i−i−iiii−i−i−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2-1-1111111-1-1-1-1ii−i−i−i−i−i−iiiii−ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ2ζ2ζ2ζ2−ζ2−ζ2ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ2−ζ2−ζ2−ζ2ζ2ζ2
χ331111-1-111-1-11111111111-11-1-11-1-11-1-1-111-1-1111111111111111111-11-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-111111111111111111111-11-1-11-11111111111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-11-1-11-1-11-1-11-1-11-1-11-1-11-1-11-1
χ341111-1-111-1-11111111111-11-1-11-1-11-1-1-111-1-1111111111111111111-11-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-111111111111111111111-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-11-111-111-111-111-111-111-111-11
χ351111-1-111-1-11111111111-11-1-11-1-11-1-1-111-1-1111111111111111111-11-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-111111111-1-1-1-1-1-1-1-111-1-11111-1-11111-1-11111-1-111-11-1-11-1-11-1-11-11-111-111-111-11
χ361111-1-111-1-11111111111-11-1-11-1-11-1-1-111-1-1111111111111111111-11-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-1-11111111111-1-11111-1-11111-1-11111-1-1111-111-111-111-11-11-1-11-1-11-1-11-1
χ371111-1-111-1-11111111111-11-1-11-1-11-1-1-111-1-111-1-1-1-1-1-1-1-111111111-11-111-1-11111-1-111-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-111-11iiii−i−i−i−iiiii−i−i−i−i-1-111-1-1-1-111-1-111-1-11111-1-111−ii−i−ii−ii−iii−ii−ii−i−ii−ii−iii−ii
χ381111-1-111-1-11111111111-11-1-11-1-11-1-1-111-1-111-1-1-1-1-1-1-1-111111111-11-111-1-11111-1-111-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-111-11−i−i−i−iiiii−i−i−i−iiiii-1-111-1-1-1-111-1-111-1-11111-1-111i−iii−ii−ii−i−ii−ii−iii−ii−ii−i−ii−i
χ391111-1-111-1-11111111111-11-1-11-1-11-1-1-111-1-111-1-1-1-1-1-1-1-111111111-11-111-1-11111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-11iiii−i−i−i−i−i−i−i−iiiii11-1-11111-1-111-1-111-1-1-1-111-1-1−ii−i−ii−ii−iii−iii−iii−ii−ii−i−ii−i
χ401111-1-111-1-11111111111-11-1-11-1-11-1-1-111-1-111-1-1-1-1-1-1-1-111111111-11-111-1-11111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-11−i−i−i−iiiiiiiii−i−i−i−i11-1-11111-1-111-1-111-1-1-1-111-1-1i−iii−ii−ii−i−ii−i−ii−i−ii−ii−iii−ii
χ411111-1-111-1-111-1-1-1-111111-11-11-11-11-1-111-1-1-1-1iiii−i−i−i−i1111-1-1-1-11-11−i−iii−i−iii−i−iii-1-111-1-111-1-111ii−i−i1111-1-1-1-1iiii−i−i−i−i−ii−ii−iiζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6-1-111-1-111-1-111−i−iii−i−iii−i−iii−ζ2ζ2−ζ2ζ2−ζ2ζ2−ζ6ζ6−ζ6ζ6−ζ6ζ6−ζ2ζ2−ζ2ζ2−ζ2ζ2−ζ6ζ6−ζ6ζ6−ζ6ζ6
χ421111-1-111-1-111-1-1-1-111111-11-11-11-11-1-111-1-1-1-1iiii−i−i−i−i1111-1-1-1-11-11−i−iii−i−iii−i−iii-1-111-1-111-1-111ii−i−i1111-1-1-1-1iiii−i−i−i−i−ii−ii−ii−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6-1-111-1-111-1-111−i−iii−i−iii−i−iiiζ2−ζ2ζ2−ζ2ζ2−ζ2ζ6−ζ6ζ6−ζ6ζ6−ζ6ζ2−ζ2ζ2−ζ2ζ2−ζ2ζ6−ζ6ζ6−ζ6ζ6−ζ6
χ431111-1-111-1-111-1-1-1-111111-11-11-11-11-1-111-1-1-1-1iiii−i−i−i−i1111-1-1-1-11-11−i−iii−i−iii−i−iii-1-111-1-111-1-111ii−i−i-1-1-1-11111−i−i−i−iiiii−ii−ii−iiζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ611-1-111-1-111-1-1ii−i−iii−i−iii−i−i−ζ2ζ2−ζ2ζ2−ζ2ζ2−ζ6ζ6−ζ6ζ6−ζ6ζ6ζ2−ζ2ζ2−ζ2ζ2−ζ2ζ6−ζ6ζ6−ζ6ζ6−ζ6
χ441111-1-111-1-111-1-1-1-111111-11-11-11-11-1-111-1-1-1-1iiii−i−i−i−i1111-1-1-1-11-11−i−iii−i−iii−i−iii-1-111-1-111-1-111ii−i−i-1-1-1-11111−i−i−i−iiiii−ii−ii−ii−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ611-1-111-1-111-1-1ii−i−iii−i−iii−i−iζ2−ζ2ζ2−ζ2ζ2−ζ2ζ6−ζ6ζ6−ζ6ζ6−ζ6−ζ2ζ2−ζ2ζ2−ζ2ζ2−ζ6ζ6−ζ6ζ6−ζ6ζ6
χ451111-1-111-1-111-1-1-1-111111-11-11-11-11-1-111-1-1-1-1−i−i−i−iiiii1111-1-1-1-11-11ii−i−iii−i−iii−i−i-1-111-1-111-1-111−i−iii1111-1-1-1-1−i−i−i−iiiiii−ii−ii−iζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2-1-111-1-111-1-111ii−i−iii−i−iii−i−i−ζ6ζ6−ζ6ζ6−ζ6ζ6−ζ2ζ2−ζ2ζ2−ζ2ζ2−ζ6ζ6−ζ6ζ6−ζ6ζ6−ζ2ζ2−ζ2ζ2−ζ2ζ2
χ461111-1-111-1-111-1-1-1-111111-11-11-11-11-1-111-1-1-1-1−i−i−i−iiiii1111-1-1-1-11-11ii−i−iii−i−iii−i−i-1-111-1-111-1-111−i−iii1111-1-1-1-1−i−i−i−iiiiii−ii−ii−i−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2-1-111-1-111-1-111ii−i−iii−i−iii−i−iζ6−ζ6ζ6−ζ6ζ6−ζ6ζ2−ζ2ζ2−ζ2ζ2−ζ2ζ6−ζ6ζ6−ζ6ζ6−ζ6ζ2−ζ2ζ2−ζ2ζ2−ζ2
χ471111-1-111-1-111-1-1-1-111111-11-11-11-11-1-111-1-1-1-1−i−i−i−iiiii1111-1-1-1-11-11ii−i−iii−i−iii−i−i-1-111-1-111-1-111−i−iii-1-1-1-11111iiii−i−i−i−ii−ii−ii−iζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ211-1-111-1-111-1-1−i−iii−i−iii−i−iii−ζ6ζ6−ζ6ζ6−ζ6ζ6−ζ2ζ2−ζ2ζ2−ζ2ζ2ζ6−ζ6ζ6−ζ6ζ6−ζ6ζ2−ζ2ζ2−ζ2ζ2−ζ2
χ481111-1-111-1-111-1-1-1-111111-11-11-11-11-1-111-1-1-1-1−i−i−i−iiiii1111-1-1-1-11-11ii−i−iii−i−iii−i−i-1-111-1-111-1-111−i−iii-1-1-1-11111iiii−i−i−i−ii−ii−ii−i−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ211-1-111-1-111-1-1−i−iii−i−iii−i−iiiζ6−ζ6ζ6−ζ6ζ6−ζ6ζ2−ζ2ζ2−ζ2ζ2−ζ2−ζ6ζ6−ζ6ζ6−ζ6ζ6−ζ2ζ2−ζ2ζ2−ζ2ζ2
χ491111-1-1-1-1111111111111-1-11-1-11-1-11-1-1-1-111111111111111111111-1-11-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11111111111111111111111-1-11-1-111111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-11-1-11-1-11-1-11-1-11-1-11-1-11-1-11
χ501111-1-1-1-1111111111111-1-11-1-11-1-11-1-1-1-111111111111111111111-1-11-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11111111111111111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-111-111-111-111-111-111-111-1
χ511111-1-1-1-1111111111111-1-11-1-11-1-11-1-1-1-111111111111111111111-1-11-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-11111-1-1-1-11-1-11-1-11-1-1111-111-111-111-1
χ521111-1-1-1-1111111111111-1-11-1-11-1-11-1-1-1-111111111111111111111-1-11-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-1111111111111-1-11111-1-11111-1-11111-1-111-111-111-111-1-1-11-1-11-1-11-1-11
χ531111-1-1-1-1111111111111-1-11-1-11-1-11-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111111-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-111-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-111-1-1-1-1111111-1-11111-1-1−i−ii−i−iiii−iii−i−i−ii−i−iiii−iii−i
χ541111-1-1-1-1111111111111-1-11-1-11-1-11-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111111-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-111-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-111-1-1-1-1111111-1-11111-1-1ii−iii−i−i−ii−i−iiii−iii−i−i−ii−i−ii
χ551111-1-1-1-1111111111111-1-11-1-11-1-11-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111111-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1iiii−i−i−i−i−i−i−i−iiiii1111-1-11111-1-1-1-1-1-111-1-1-1-111−i−ii−i−iiii−iii−iii−iii−i−i−ii−i−ii
χ561111-1-1-1-1111111111111-1-11-1-11-1-11-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111111-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1−i−i−i−iiiiiiiii−i−i−i−i1111-1-11111-1-1-1-1-1-111-1-1-1-111ii−iii−i−i−ii−i−ii−i−ii−i−iiii−iii−i
χ571111-1-1-1-11111-1-1-1-1111111-1-1-1111-1-1-1-1-111-1-1iiii−i−i−i−i1111-1-1-1-111-1−i−i−i−iiiiiii−i−i-1-1-1-1111111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i−i−iiii−iζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6-1-1-1-1111111-1-1−i−i−i−iiiiiii−i−i−ζ2−ζ2ζ2ζ2ζ2−ζ2−ζ6−ζ6ζ6ζ6ζ6−ζ6−ζ2−ζ2ζ2ζ2ζ2−ζ2−ζ6−ζ6ζ6ζ6ζ6−ζ6
χ581111-1-1-1-11111-1-1-1-1111111-1-1-1111-1-1-1-1-111-1-1iiii−i−i−i−i1111-1-1-1-111-1−i−i−i−iiiiiii−i−i-1-1-1-1111111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i−i−iiii−i−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6-1-1-1-1111111-1-1−i−i−i−iiiiiii−i−iζ2ζ2−ζ2−ζ2−ζ2ζ2ζ6ζ6−ζ6−ζ6−ζ6ζ6ζ2ζ2−ζ2−ζ2−ζ2ζ2ζ6ζ6−ζ6−ζ6−ζ6ζ6
χ591111-1-1-1-11111-1-1-1-1111111-1-1-1111-1-1-1-1-111-1-1iiii−i−i−i−i1111-1-1-1-111-1−i−i−i−iiiiiii−i−i-1-1-1-1111111-1-1ii−i−i-1-1-1-11111−i−i−i−iiiii−i−iiii−iζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ61111-1-1-1-1-1-111iiii−i−i−i−i−i−iii−ζ2−ζ2ζ2ζ2ζ2−ζ2−ζ6−ζ6ζ6ζ6ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ2ζ2ζ6ζ6−ζ6−ζ6−ζ6ζ6
χ601111-1-1-1-11111-1-1-1-1111111-1-1-1111-1-1-1-1-111-1-1iiii−i−i−i−i1111-1-1-1-111-1−i−i−i−iiiiiii−i−i-1-1-1-1111111-1-1ii−i−i-1-1-1-11111−i−i−i−iiiii−i−iiii−i−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ61111-1-1-1-1-1-111iiii−i−i−i−i−i−iiiζ2ζ2−ζ2−ζ2−ζ2ζ2ζ6ζ6−ζ6−ζ6−ζ6ζ6−ζ2−ζ2ζ2ζ2ζ2−ζ2−ζ6−ζ6ζ6ζ6ζ6−ζ6
χ611111-1-1-1-11111-1-1-1-1111111-1-1-1111-1-1-1-1-111-1-1−i−i−i−iiiii1111-1-1-1-111-1iiii−i−i−i−i−i−iii-1-1-1-1111111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiiiii−i−i−iiζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2-1-1-1-1111111-1-1iiii−i−i−i−i−i−iii−ζ6−ζ6ζ6ζ6ζ6−ζ6−ζ2−ζ2ζ2ζ2ζ2−ζ2−ζ6−ζ6ζ6ζ6ζ6−ζ6−ζ2−ζ2ζ2ζ2ζ2−ζ2
χ621111-1-1-1-11111-1-1-1-1111111-1-1-1111-1-1-1-1-111-1-1−i−i−i−iiiii1111-1-1-1-111-1iiii−i−i−i−i−i−iii-1-1-1-1111111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiiiii−i−i−ii−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2-1-1-1-1111111-1-1iiii−i−i−i−i−i−iiiζ6ζ6−ζ6−ζ6−ζ6ζ6ζ2ζ2−ζ2−ζ2−ζ2ζ2ζ6ζ6−ζ6−ζ6−ζ6ζ6ζ2ζ2−ζ2−ζ2−ζ2ζ2
χ631111-1-1-1-11111-1-1-1-1111111-1-1-1111-1-1-1-1-111-1-1−i−i−i−iiiii1111-1-1-1-111-1iiii−i−i−i−i−i−iii-1-1-1-1111111-1-1−i−iii-1-1-1-11111iiii−i−i−i−iii−i−i−iiζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ21111-1-1-1-1-1-111−i−i−i−iiiiiii−i−i−ζ6−ζ6ζ6ζ6ζ6−ζ6−ζ2−ζ2ζ2ζ2ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ6ζ6ζ2ζ2−ζ2−ζ2−ζ2ζ2
χ641111-1-1-1-11111-1-1-1-1111111-1-1-1111-1-1-1-1-111-1-1−i−i−i−iiiii1111-1-1-1-111-1iiii−i−i−i−i−i−iii-1-1-1-1111111-1-1−i−iii-1-1-1-11111iiii−i−i−i−iii−i−i−ii−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ21111-1-1-1-1-1-111−i−i−i−iiiiiii−i−iζ6ζ6−ζ6−ζ6−ζ6ζ6ζ2ζ2−ζ2−ζ2−ζ2ζ2−ζ6−ζ6ζ6ζ6ζ6−ζ6−ζ2−ζ2ζ2ζ2ζ2−ζ2
χ65222222222222222222222222222222222222222222222-2-2-2-2-2-2-2-2222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000000
χ662222222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222200000000000000002222220000000000000000000000000000000000000000000000000000000000000000
χ672222222222222222-2-2-2-2222222222-2-2-2-2-2-2-2-222-2-222-2-200000000-2-2-22-22-22-22-22-22-20000000000000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000000000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000000000000000000000
χ682222222222222222-2-2-2-2222222222-2-2-2-2-2-2-2-222-2-222-2-200000000-2-2-22-22-22-22-22-22-20000000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000000000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000000000000000000000
χ692222222222222222-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-222-2-22200000000-2-2-2-22-22-22-22-22-220000000000000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i20000000000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000000000000000000000
χ702222222222222222-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-222-2-22200000000-2-2-2-22-22-22-22-22-220000000000000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i20000000000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000000000000000000000
χ71222222222222-2-2-2-22222-2-2-2222-2-2-2222222-2-22i2i2i2i−2i−2i−2i−2i-2-2-2-22222-2-2-22i2i2i2i2i2i−2i−2i−2i−2i−2i−2i-2-2-2-2-2-2222222−2i−2i2i2i0000000000000000−2i−2i−2i2i2i2i0000000000000000000000000000000000000000000000000000000000000000
χ72222222222222-2-2-2-22222-2-2-2222-2-2-2222222-2-2−2i−2i−2i−2i2i2i2i2i-2-2-2-22222-2-2-2−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i-2-2-2-2-2-22222222i2i−2i−2i00000000000000002i2i2i−2i−2i−2i0000000000000000000000000000000000000000000000000000000000000000
χ73222222222222-2-2-2-2-2-2-2-2-2-2-2222-2-2-2-2-2-2-2-2-2222i2i−2i−2i−2i−2i2i2i000000002222i−2i2i−2i2i−2i−2i2i−2i2i−2i2i0000000000000000i2i2−i2−i2−i2−i2i2i2−2−22222−2−20000000000000000000000i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−22−22−222−22−22−2000000000000000000000000
χ74222222222222-2-2-2-2-2-2-2-2-2-2-2222-2-2-2-2-2-2-2-2-2222i2i−2i−2i−2i−2i2i2i000000002222i−2i2i−2i2i−2i−2i2i−2i2i−2i2i0000000000000000−i2−i2i2i2i2i2−i2−i222−2−2−2−2220000000000000000000000−i2i2−i2i2−i2i2i2−i2i2−i2i2−i22−22−22−2−22−22−22000000000000000000000000
χ75222222222222-2-2-2-2-2-2-2-2-2-2-2222-2-2-2-2-2-2-2-2-222−2i−2i2i2i2i2i−2i−2i00000000222−2i2i−2i2i−2i2i2i−2i2i−2i2i−2i0000000000000000i2i2−i2−i2−i2−i2i2i222−2−2−2−2220000000000000000000000i2−i2i2−i2i2−i2−i2i2−i2i2−i2i22−22−22−2−22−22−22000000000000000000000000
χ76222222222222-2-2-2-2-2-2-2-2-2-2-2222-2-2-2-2-2-2-2-2-222−2i−2i2i2i2i2i−2i−2i00000000222−2i2i−2i2i−2i2i2i−2i2i−2i2i−2i0000000000000000−i2−i2i2i2i2i2−i2−i2−2−22222−2−20000000000000000000000−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2−22−22−222−22−22−2000000000000000000000000
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Here ζ is a primitive root of unity of order 16 (ζ16 = 1); i = ζ4.