Finite Group Databasebeta

← Group #12121121

Character table — Group #12121121

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170
size11111111222222222222222222222222222222224444444444444444444444444444444444444444444444444444444444888888888888888888888888888888888888888888101010101010101020202020202020202020202020202020404040404040
order1222222244444444444444445510101010101010101010101010104444444444202020202020202020202020202020202020202020202020202020202020202020202020202020202020202020202020444444202020202020202020202020202020202020202020202020202020202020202020202020888888884444888888888888444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-1-1
χ61111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111
χ71111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111
χ81111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-1
χ9111111111-1-1-1-11111-1-1-1-11111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ10111111111-1-1-1-11111-1-1-1-11111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ11111111111-1-1-1-11111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ12111111111-1-1-1-11111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ13111111111-1-1-1-1-1-1-1-111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ14111111111-1-1-1-1-1-1-1-111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111
χ15111111111-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ16111111111-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1
χ171-111-1-1-111ii−i−iii−i−i11-1-1-1-1111-1-1-1-111-1-11111-1-11-111-1-1i−ii−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-111111111-1-1-1-1-1-1-1-11-1i−ii−i11-1-11111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i11-1-111-1-1i−i1-11-1
χ181-111-1-1-111ii−i−iii−i−i11-1-1-1-1111-1-1-1-111-1-11111-1-11-111-1-1i−ii−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-111111111-1-1-1-1-1-1-1-11-1i−ii−i11-1-11111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−iii−i−iii-1-111-1-111−ii-11-11
χ191-111-1-1-111ii−i−iii−i−i11-1-1-1-1111-1-1-1-111-1-11111-1-11-1-1-111i−ii−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-1-1-1-1-1-1-1-111111111-11−ii−ii11-1-1-1-1-1-11111ii−i−iii−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i11-1-111-1-1−ii-11-11
χ201-111-1-1-111ii−i−iii−i−i11-1-1-1-1111-1-1-1-111-1-11111-1-11-1-1-111i−ii−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-1-1-1-1-1-1-1-111111111-11−ii−ii11-1-1-1-1-1-11111ii−i−iii−i−i−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiiiii−i−i−i−iii-1-111-1-111i−i1-11-1
χ211-111-1-1-111ii−i−i−i−iii-1-111-1-1111-1-1-1-111-1-11111-1-1-1111-1-1i−i−ii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-111111111-1-1-1-1-1-1-1-1-11i−i−ii-1-111-1-1-1-11111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii11-1-1-1-111−ii1-1-11
χ221-111-1-1-111ii−i−i−i−iii-1-111-1-1111-1-1-1-111-1-11111-1-1-1111-1-1i−i−ii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-111111111-1-1-1-1-1-1-1-1-11i−i−ii-1-111-1-1-1-11111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii−i−iiiii−i−i-1-11111-1-1i−i-111-1
χ231-111-1-1-111ii−i−i−i−iii-1-111-1-1111-1-1-1-111-1-11111-1-1-11-1-111i−i−ii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1−iii−i-1-1111111-1-1-1-1ii−i−i−i−iii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii11-1-1-1-111i−i-111-1
χ241-111-1-1-111ii−i−i−i−iii-1-111-1-1111-1-1-1-111-1-11111-1-1-11-1-111i−i−ii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1−iii−i-1-1111111-1-1-1-1ii−i−i−i−iii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiii−i−iii−i−i-1-11111-1-1−ii1-1-11
χ251-111-1-1-111−i−iiiii−i−i-1-111-1-1111-1-1-1-111-1-11111-1-1-1111-1-1−iii−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-111111111-1-1-1-1-1-1-1-1-11−iii−i-1-111-1-1-1-11111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−iii−i−i−i−iii-1-11111-1-1−ii-111-1
χ261-111-1-1-111−i−iiiii−i−i-1-111-1-1111-1-1-1-111-1-11111-1-1-1111-1-1−iii−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-111111111-1-1-1-1-1-1-1-1-11−iii−i-1-111-1-1-1-11111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i11-1-1-1-111i−i1-1-11
χ271-111-1-1-111−i−iiiii−i−i-1-111-1-1111-1-1-1-111-1-11111-1-1-11-1-111−iii−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1i−i−ii-1-1111111-1-1-1-1−i−iiiii−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−iii−i−iii-1-11111-1-1i−i1-1-11
χ281-111-1-1-111−i−iiiii−i−i-1-111-1-1111-1-1-1-111-1-11111-1-1-11-1-111−iii−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1i−i−ii-1-1111111-1-1-1-1−i−iiiii−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i11-1-1-1-111−ii-111-1
χ291-111-1-1-111−i−iii−i−iii11-1-1-1-1111-1-1-1-111-1-11111-1-11-111-1-1−ii−ii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-111111111-1-1-1-1-1-1-1-11-1−ii−ii11-1-11111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iii−i−iii−i−i-1-111-1-111i−i-11-11
χ301-111-1-1-111−i−iii−i−iii11-1-1-1-1111-1-1-1-111-1-11111-1-11-111-1-1−ii−ii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-111111111-1-1-1-1-1-1-1-11-1−ii−ii11-1-11111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii11-1-111-1-1−ii1-11-1
χ311-111-1-1-111−i−iii−i−iii11-1-1-1-1111-1-1-1-111-1-11111-1-11-1-1-111−ii−ii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-1-1-1-1-1-1-1-111111111-11i−ii−i11-1-1-1-1-1-11111−i−iii−i−iiiiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i−i−iiiii−i−i-1-111-1-111−ii1-11-1
χ321-111-1-1-111−i−iii−i−iii11-1-1-1-1111-1-1-1-111-1-11111-1-11-1-1-111−ii−ii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-1-1-1-1-1-1-1-111111111-11i−ii−i11-1-1-1-1-1-11111−i−iii−i−iiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii11-1-111-1-1i−i-11-11
χ33222222222222222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000000000000000
χ34222222222222222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-22222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-2-2-2-2-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52000000000000000000000000000000
χ35222222222222222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000000000000000
χ36222222222222222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-22222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-2-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52000000000000000000000000000000
χ372222222222222-2-2-2-2-2-2-2-2222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2222222-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-222-2-21−521+521−521+521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000000000000000000000000000000
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χ1564-44-44-44-4-40000000000004-44−1−5−1+51+51+51−51−51+51−5−1−5−1+5−1−51+5−1+51−5−1−5−1+500000000000000000000000000000000001+5−1−51−5−1+5−1−51+5−1+51−52ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ28000000000000000000000000000000000000000000000000000000000000000000000000
χ1574-4-4444-4-4000000000000000044-44-44-4-4-4-4-44-444400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000
χ1584-4-4444-4-4000000000000000044-44-44-4-4-4-4-44-44440000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000
χ1594-4-4-4-444404-4-444-4-444-4-44000−1+5−1−51−5−1+51+5−1−5−1+5−1−5−1+5−1−51−51−51+51+51−51+50000000000−1+51−5−1−51+51−5−1+51+5−1−5−1+51−5−1−51+51−5−1+51+5−1−5−1+51−5−1−51+51−5−1+51+5−1−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1604-4-4-4-444404-4-444-4-444-4-44000−1−5−1+51+5−1−51−5−1+5−1−5−1+5−1−5−1+51+51+51−51−51+51−50000000000−1−51+5−1+51−51+5−1−51−5−1+5−1−51+5−1+51−51+5−1−51−5−1+5−1−51+5−1+51−51+5−1−51−5−1+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1614-4-4-4-444404-4-44-444-4-444-4000−1+5−1−51−5−1+51+5−1−5−1+5−1−5−1+5−1−51−51−51+51+51−51+500000000001−5−1+51+5−1−5−1+51−5−1−51+5−1+51−5−1−51+51−5−1+51+5−1−51−5−1+51+5−1−5−1+51−5−1−51+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1624-4-4-4-444404-4-44-444-4-444-4000−1−5−1+51+5−1−51−5−1+5−1−5−1+5−1−5−1+51+51+51−51−51+51−500000000001+5−1−51−5−1+5−1−51+5−1+51−5−1−51+5−1+51−51+5−1−51−5−1+51+5−1−51−5−1+5−1−51+5−1+51−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1634-4-4-4-44440-444-44-4-44-444-4000−1+5−1−51−5−1+51+5−1−5−1+5−1−5−1+5−1−51−51−51+51+51−51+500000000001−5−1+51+5−1−5−1+51−5−1−51+51−5−1+51+5−1−5−1+51−5−1−51+5−1+51−5−1−51+51−5−1+51+5−1−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1644-4-4-4-44440-444-44-4-44-444-4000−1−5−1+51+5−1−51−5−1+5−1−5−1+5−1−5−1+51+51+51−51−51+51−500000000001+5−1−51−5−1+5−1−51+5−1+51−51+5−1−51−5−1+5−1−51+5−1+51−5−1−51+5−1+51−51+5−1−51−5−1+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1654-4-4-4-44440-444-4-444-44-4-44000−1+5−1−51−5−1+51+5−1−5−1+5−1−5−1+5−1−51−51−51+51+51−51+50000000000−1+51−5−1−51+51−5−1+51+5−1−51−5−1+51+5−1−5−1+51−5−1−51+51−5−1+51+5−1−5−1+51−5−1−51+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1664-4-4-4-44440-444-4-444-44-4-44000−1−5−1+51+5−1−51−5−1+5−1−5−1+5−1−5−1+51+51+51−51−51+51−50000000000−1−51+5−1+51−51+5−1−51−5−1+51+5−1−51−5−1+5−1−51+5−1+51−51+5−1−51−5−1+5−1−51+5−1+51−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ16788-88-8-88-80000000000000000−2+25−2−25−2+252−25−2−252+252−252+25−2+25−2−252−25−2+252+25−2−252−252+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ16888-88-8-88-80000000000000000−2−25−2+25−2−252+25−2+252−252+252−25−2−25−2+252+25−2−252−25−2+252+252−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1698-8-8888-8-80000000000000000−2+25−2−252−25−2+252+25−2−252−252+252−252+252−25−2+252+25−2−25−2+25−2−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1708-8-8888-8-80000000000000000−2−25−2+252+25−2−252−25−2+252+252−252+252−252+25−2−252−25−2+25−2−25−2+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.