Finite Group Databasebeta

← Group #11988913

Character table — Group #11988913

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176
size11111111222222222222222222222222222222222222222222222222222244444444444444444444444444444444444444444444444444448888888888888888888888888888888888888888202020202020202020202020202020204040404040404040
order1222222222222222444444444444551010101010101010101010101010202020202020202020202020202020202244101010101010101010101010101010101010101010101010202020202020202020202020202020202020202020202020888888884040404040404040404040404040404040404040404040404040404040404040888888888888888844444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1
χ61111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111
χ71111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111
χ81111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1
χ9111111111111-1-1-1-11111-1-1-1-1111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ10111111111111-1-1-1-11111-1-1-1-1111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111
χ11111111111111-1-1-1-11111-1-1-1-1111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-1-111
χ12111111111111-1-1-1-11111-1-1-1-1111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ13111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111ii−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111
χ14111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111ii−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1
χ15111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−iiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1
χ16111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−iiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111
χ171111-1-1-1-111-1-111-1-111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-11-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−ii−ii−ii−ii−i
χ181111-1-1-1-111-1-111-1-111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-11-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii−ii−ii−ii−ii
χ191111-1-1-1-111-1-111-1-111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-11-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-11-11-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111ii−i−iii−i−iii−i−iii−i−i−ii−ii−ii−ii
χ201111-1-1-1-111-1-111-1-111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-11-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-11-11-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111−i−iii−i−iii−i−iii−i−iiii−ii−ii−ii−i
χ211111-1-1-1-111-1-111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111i−ii−i−ii−iiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1-1-111-1-111−ii−iii−ii−i
χ221111-1-1-1-111-1-111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111i−ii−i−ii−iiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-111-1-11111-1-111-1-1i−ii−i−ii−ii
χ231111-1-1-1-111-1-111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111−ii−iii−ii−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1-1-111-1-111i−ii−i−ii−ii
χ241111-1-1-1-111-1-111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111−ii−iii−ii−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-111-1-11111-1-111-1-1−ii−iii−ii−i
χ251111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-11-111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iiii−i−iii−i−ii
χ261111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-11-111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i−iii−i−iii−i
χ271111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-11-111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-111-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1ii−i−i−i−iiiii−i−i−i−iii−iii−i−iii−i
χ281111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-11-111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-111-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1−i−iiiii−i−i−i−iiiii−i−ii−i−iii−i−ii
χ291111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1i−i−ii−iii−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111-1-11111-1-1−iii−ii−i−ii
χ301111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1i−i−ii−iii−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-111-1-1-1-111i−i−ii−iii−i
χ311111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1−iii−ii−i−ii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111-1-11111-1-1i−i−ii−iii−i
χ321111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1−iii−ii−i−ii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-11111-1-111-1-1-1-111−iii−ii−i−ii
χ332222222222222222222222222222−1+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+52−1−52−1−52−1−52−1−522222−1+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+52−1−52−1−52−1−52−1−5222222222−1+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+52−1−52−1−52000000000000000000000000
χ342222222222222222222222222222−1+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+52−1−52−1−52−1−52−1−522222−1+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+52−1−52−1−52−1−52−1−52-2-2-2-2-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52000000000000000000000000
χ352222222222222222222222222222−1−52−1+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+522222−1−52−1−52−1+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+5222222222−1−52−1−52−1+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+52000000000000000000000000
χ362222222222222222222222222222−1−52−1+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+522222−1−52−1−52−1+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+52-2-2-2-2-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52000000000000000000000000
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χ1664-4-444-4-440000-44-44000000000000−1−5−1+51+51+51−51−5−1−51+51+5−1−5−1+51−51−5−1+5−1−5−1+52ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ280000000000001+5−1−5001−5−1+5001+5−1−5001−5−1+5000000000000−2ζ4+2ζ362ζ4−2ζ3600−2ζ12+2ζ282ζ12−2ζ2800−2ζ4+2ζ362ζ4−2ζ3600−2ζ12+2ζ282ζ12−2ζ280000000000000000000000000000000000000000000000000000000000000000
χ1674-4-44-444-400004-4-4400000000000044-4-4-4-4-444-4-444-44400000000000000000000000000004-4004-400-4400-44000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1684-4-44-444-400004-4-44000000000000−1+5−1−51−51−51+51+51−5−1+5−1+51−51+5−1−5−1−51+5−1+5−1−52ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ36000000000000−1+51−500−1−51+5001−5−1+5001+5−1−5000000000000−2ζ12+2ζ282ζ12−2ζ28002ζ4−2ζ36−2ζ4+2ζ36002ζ12−2ζ28−2ζ12+2ζ2800−2ζ4+2ζ362ζ4−2ζ360000000000000000000000000000000000000000000000000000000000000000
χ1694-4-44-444-400004-4-44000000000000−1+5−1−51−51−51+51+51−5−1+5−1+51−51+5−1−5−1−51+5−1+5−1−5−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ36000000000000−1+51−500−1−51+5001−5−1+5001+5−1−50000000000002ζ12−2ζ28−2ζ12+2ζ2800−2ζ4+2ζ362ζ4−2ζ3600−2ζ12+2ζ282ζ12−2ζ28002ζ4−2ζ36−2ζ4+2ζ360000000000000000000000000000000000000000000000000000000000000000
χ1704-4-44-444-400004-4-44000000000000−1−5−1+51+51+51−51−51+5−1−5−1−51+51−5−1+5−1+51−5−1−5−1+5−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ28000000000000−1−51+500−1+51−5001+5−1−5001−5−1+50000000000002ζ4−2ζ36−2ζ4+2ζ36002ζ12−2ζ28−2ζ12+2ζ2800−2ζ4+2ζ362ζ4−2ζ3600−2ζ12+2ζ282ζ12−2ζ280000000000000000000000000000000000000000000000000000000000000000
χ1714-4-44-444-400004-4-44000000000000−1−5−1+51+51+51−51−51+5−1−5−1−51+51−5−1+5−1+51−5−1−5−1+52ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ28000000000000−1−51+500−1+51−5001+5−1−5001−5−1+5000000000000−2ζ4+2ζ362ζ4−2ζ3600−2ζ12+2ζ282ζ12−2ζ28002ζ4−2ζ36−2ζ4+2ζ36002ζ12−2ζ28−2ζ12+2ζ280000000000000000000000000000000000000000000000000000000000000000
χ1724-4-44-444-40000-444-400000000000044-4-4-4-4-444-4-444-4440000000000000000000000000000-4400-44004-4004-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1734-4-44-444-40000-444-4000000000000−1+5−1−51−51−51+51+51−5−1+5−1+51−51+5−1−5−1−51+5−1+5−1−52ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ360000000000001−5−1+5001+5−1−500−1+51−500−1−51+50000000000002ζ12−2ζ28−2ζ12+2ζ2800−2ζ4+2ζ362ζ4−2ζ3600−2ζ12+2ζ282ζ12−2ζ28002ζ4−2ζ36−2ζ4+2ζ360000000000000000000000000000000000000000000000000000000000000000
χ1744-4-44-444-40000-444-4000000000000−1+5−1−51−51−51+51+51−5−1+5−1+51−51+5−1−5−1−51+5−1+5−1−5−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ360000000000001−5−1+5001+5−1−500−1+51−500−1−51+5000000000000−2ζ12+2ζ282ζ12−2ζ28002ζ4−2ζ36−2ζ4+2ζ36002ζ12−2ζ28−2ζ12+2ζ2800−2ζ4+2ζ362ζ4−2ζ360000000000000000000000000000000000000000000000000000000000000000
χ1754-4-44-444-40000-444-4000000000000−1−5−1+51+51+51−51−51+5−1−5−1−51+51−5−1+5−1+51−5−1−5−1+5−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ280000000000001+5−1−5001−5−1+500−1−51+500−1+51−5000000000000−2ζ4+2ζ362ζ4−2ζ3600−2ζ12+2ζ282ζ12−2ζ28002ζ4−2ζ36−2ζ4+2ζ36002ζ12−2ζ28−2ζ12+2ζ280000000000000000000000000000000000000000000000000000000000000000
χ1764-4-44-444-40000-444-4000000000000−1−5−1+51+51+51−51−51+5−1−5−1−51+51−5−1+5−1+51−5−1−5−1+52ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ280000000000001+5−1−5001−5−1+500−1−51+500−1+51−50000000000002ζ4−2ζ36−2ζ4+2ζ36002ζ12−2ζ28−2ζ12+2ζ2800−2ζ4+2ζ362ζ4−2ζ3600−2ζ12+2ζ282ζ12−2ζ280000000000000000000000000000000000000000000000000000000000000000

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