Finite Group Databasebeta

← Group #12121155

Character table — Group #12121155

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158
size11111111222222222222222222222222222222224444444444444444444444444444444444444444444444444444444444444488888888101010101010101016161616161616161616161616161616202020202020202020202020202020202020202040404040
order1222222244444444558888888810101010101010101010101010104488882020202020202020202020202020202020202020202020204040404040404040404040404040404040404040404040404040404040404040444444444444444420202020202020202020202020202020444444444444888888884444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ6111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111
χ7111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111
χ8111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1
χ911111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ1011111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-11111-1-1-1-1
χ1111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1
χ1211111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ1311111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ1411111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111
χ1511111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111-1-111
χ1611111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111111111-1-1-1-111-1-1
χ171-11-1-111-1ii−i−i1-1-1111iiii−i−i−i−i11-1-1-1-111-1-111-1-1i−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-11-11-1i−ii−i11-1-1ii−i−i11-1-111-1-1ii−i−iii−i−i1-1i−iii−i−i11-1-1ii−i−i11-1-11-1i−i
χ181-11-1-111-1ii−i−i1-1-1111iiii−i−i−i−i11-1-1-1-111-1-111-1-1i−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-11-11-1i−ii−i-1-111−i−iii11-1-111-1-1ii−i−iii−i−i-11−ii−i−iii-1-111−i−iii-1-111-11−ii
χ191-11-1-111-1ii−i−i1-1-1111iiii−i−i−i−i11-1-1-1-111-1-111-1-1i−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-1-11-11−ii−ii11-1-1ii−i−i-1-111-1-111−i−iii−i−iii1-1i−i−i−iii-1-111ii−i−i11-1-1-11−ii
χ201-11-1-111-1ii−i−i1-1-1111iiii−i−i−i−i11-1-1-1-111-1-111-1-1i−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-1-11-11−ii−ii-1-111−i−iii-1-111-1-111−i−iii−i−iii-11−iiii−i−i11-1-1−i−iii-1-1111-1i−i
χ211-11-1-111-1ii−i−i1-1-1111−i−i−i−iiiii11-1-1-1-111-1-111-1-1i−i-1-11111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-1111111111-1-11i−i−ii11-1-1ii−i−i11-1-1-1-111ii−i−i−i−iii1-1i−iii−i−i-1-111−i−iii-1-1111-1−ii
χ221-11-1-111-1ii−i−i1-1-1111−i−i−i−iiiii11-1-1-1-111-1-111-1-1i−i-1-11111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-1111111111-1-11i−i−ii-1-111−i−iii11-1-1-1-111ii−i−i−i−iii-11−ii−i−iii11-1-1ii−i−i11-1-1-11i−i
χ231-11-1-111-1ii−i−i1-1-1111−i−i−i−iiiii11-1-1-1-111-1-111-1-1i−i-1-11111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-111111111-111-1−iii−i11-1-1ii−i−i-1-11111-1-1−i−iiiii−i−i1-1i−i−i−iii11-1-1−i−iii-1-111-11i−i
χ241-11-1-111-1ii−i−i1-1-1111−i−i−i−iiiii11-1-1-1-111-1-111-1-1i−i-1-11111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-111111111-111-1−iii−i-1-111−i−iii-1-11111-1-1−i−iiiii−i−i-11−iiii−i−i-1-111ii−i−i11-1-11-1−ii
χ251-11-1-111-1−i−iii1-1-1111iiii−i−i−i−i11-1-1-1-111-1-111-1-1−ii-1-11111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1111111111-1-11−iii−i11-1-1−i−iii11-1-1-1-111−i−iiiii−i−i1-1−ii−i−iii-1-111ii−i−i-1-1111-1i−i
χ261-11-1-111-1−i−iii1-1-1111iiii−i−i−i−i11-1-1-1-111-1-111-1-1−ii-1-11111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1111111111-1-11−iii−i-1-111ii−i−i11-1-1-1-111−i−iiiii−i−i-11i−iii−i−i11-1-1−i−iii11-1-1-11−ii
χ271-11-1-111-1−i−iii1-1-1111iiii−i−i−i−i11-1-1-1-111-1-111-1-1−ii-1-11111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-111111111-111-1i−i−ii11-1-1−i−iii-1-11111-1-1ii−i−i−i−iii1-1−iiii−i−i11-1-1ii−i−i-1-111-11−ii
χ281-11-1-111-1−i−iii1-1-1111iiii−i−i−i−i11-1-1-1-111-1-111-1-1−ii-1-11111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-111111111-111-1i−i−ii-1-111ii−i−i-1-11111-1-1ii−i−i−i−iii-11i−i−i−iii-1-111−i−iii11-1-11-1i−i
χ291-11-1-111-1−i−iii1-1-1111−i−i−i−iiiii11-1-1-1-111-1-111-1-1−ii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-11-11-1−ii−ii11-1-1−i−iii11-1-111-1-1−i−iii−i−iii1-1−ii−i−iii11-1-1−i−iii11-1-11-1−ii
χ301-11-1-111-1−i−iii1-1-1111−i−i−i−iiiii11-1-1-1-111-1-111-1-1−ii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-11-11-1−ii−ii-1-111ii−i−i11-1-111-1-1−i−iii−i−iii-11i−iii−i−i-1-111ii−i−i-1-111-11i−i
χ311-11-1-111-1−i−iii1-1-1111−i−i−i−iiiii11-1-1-1-111-1-111-1-1−ii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-1-11-11i−ii−i11-1-1−i−iii-1-111-1-111ii−i−iii−i−i1-1−iiii−i−i-1-111−i−iii11-1-1-11i−i
χ321-11-1-111-1−i−iii1-1-1111−i−i−i−iiiii11-1-1-1-111-1-111-1-1−ii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-1-11-11i−ii−i-1-111ii−i−i-1-111-1-111ii−i−iii−i−i-11i−i−i−iii11-1-1ii−i−i-1-1111-1−ii
χ332222222222222222−1+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+52−1−52222222−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222222200000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000000000
χ342222222222222222−1+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+52−1−52222222−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-2-2-2-2-2000000001−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+52000000000000000000000000
χ352222222222222222−1+52−1−52-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5222-2-222-2-200000000−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000000000
χ362222222222222222−1+52−1−52-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-2-222-2-222000000001−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000000000
χ372222222222222222−1−52−1+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+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222222200000000−1−52−1+52−1−52−1+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
χ382222222222222222−1−52−1+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+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-2-2-2-2-2000000001+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−52000000000000000000000000
χ392222222222222222−1−52−1+52-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+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+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5222-2-222-2-200000000−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52000000000000000000000000
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χ1404-4-444-44-400000000442i2−2i2−2i22i2−2i22i22i2−2i244-44-44-4-4-4-4-4-4440000000000000000000000000000002i2−2i2−2i22i22i2−2i2−2i22i2−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000000000000000000000000000000000000000000000000000
χ1414-4-444-44-40000000044−2i22i22i2−2i22i2−2i2−2i22i244-44-44-4-4-4-4-4-444000000000000000000000000000000−2i22i22i2−2i2−2i22i22i2−2i22i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000000000000000000000000000000000000000000000000000
χ1424-4-444-44-400000000−1+5−1−52i2−2i2−2i22i2−2i22i22i2−2i2−1+5−1−51−5−1+51+5−1−51−51+51−51+51−51+5−1+5−1−50000000000−2ζ22+2ζ382ζ22−2ζ38−2ζ6+2ζ142ζ6−2ζ142ζ22−2ζ38−2ζ22+2ζ382ζ6−2ζ14−2ζ6+2ζ14000000000000ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ3900000000000000000000000000000000000000000000000000000000
χ1434-4-444-44-400000000−1+5−1−52i2−2i2−2i22i2−2i22i22i2−2i2−1+5−1−51−5−1+51+5−1−51−51+51−51+51−51+5−1+5−1−500000000002ζ22−2ζ38−2ζ22+2ζ382ζ6−2ζ14−2ζ6+2ζ14−2ζ22+2ζ382ζ22−2ζ38−2ζ6+2ζ142ζ6−2ζ14000000000000ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ3900000000000000000000000000000000000000000000000000000000
χ1444-4-444-44-400000000−1+5−1−5−2i22i22i2−2i22i2−2i2−2i22i2−1+5−1−51−5−1+51+5−1−51−51+51−51+51−51+5−1+5−1−50000000000−2ζ22+2ζ382ζ22−2ζ38−2ζ6+2ζ142ζ6−2ζ142ζ22−2ζ38−2ζ22+2ζ382ζ6−2ζ14−2ζ6+2ζ14000000000000−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ3900000000000000000000000000000000000000000000000000000000
χ1454-4-444-44-400000000−1+5−1−5−2i22i22i2−2i22i2−2i2−2i22i2−1+5−1−51−5−1+51+5−1−51−51+51−51+51−51+5−1+5−1−500000000002ζ22−2ζ38−2ζ22+2ζ382ζ6−2ζ14−2ζ6+2ζ14−2ζ22+2ζ382ζ22−2ζ38−2ζ6+2ζ142ζ6−2ζ14000000000000−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ3900000000000000000000000000000000000000000000000000000000
χ1464-4-444-44-400000000−1−5−1+52i2−2i2−2i22i2−2i22i22i2−2i2−1−5−1+51+5−1−51−5−1+51+51−51+51−51+51−5−1−5−1+500000000002ζ6−2ζ14−2ζ6+2ζ14−2ζ22+2ζ382ζ22−2ζ38−2ζ6+2ζ142ζ6−2ζ142ζ22−2ζ38−2ζ22+2ζ38000000000000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ3700000000000000000000000000000000000000000000000000000000
χ1474-4-444-44-400000000−1−5−1+52i2−2i2−2i22i2−2i22i22i2−2i2−1−5−1+51+5−1−51−5−1+51+51−51+51−51+51−5−1−5−1+50000000000−2ζ6+2ζ142ζ6−2ζ142ζ22−2ζ38−2ζ22+2ζ382ζ6−2ζ14−2ζ6+2ζ14−2ζ22+2ζ382ζ22−2ζ38000000000000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ3700000000000000000000000000000000000000000000000000000000
χ1484-4-444-44-400000000−1−5−1+5−2i22i22i2−2i22i2−2i2−2i22i2−1−5−1+51+5−1−51−5−1+51+51−51+51−51+51−5−1−5−1+500000000002ζ6−2ζ14−2ζ6+2ζ14−2ζ22+2ζ382ζ22−2ζ38−2ζ6+2ζ142ζ6−2ζ142ζ22−2ζ38−2ζ22+2ζ38000000000000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ3700000000000000000000000000000000000000000000000000000000
χ1494-4-444-44-400000000−1−5−1+5−2i22i22i2−2i22i2−2i2−2i22i2−1−5−1+51+5−1−51−5−1+51+51−51+51−51+51−5−1−5−1+50000000000−2ζ6+2ζ142ζ6−2ζ142ζ22−2ζ38−2ζ22+2ζ382ζ6−2ζ14−2ζ6+2ζ14−2ζ22+2ζ382ζ22−2ζ38000000000000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ3700000000000000000000000000000000000000000000000000000000
χ1504-4-44-44-4400004-44-4−1+5−1−54i−4i4i−4i−4i4i−4i4i1−51+51−51−51+51+5−1+5−1−5−1+5−1−51−51+5−1+5−1−5000000−1+5−1−5−1+5−1−500000000000000001−51+51−51+5−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ14000000000000000000000000000000000000000000000000000000000000000000000000
χ1514-4-44-44-4400004-44-4−1+5−1−5−4i4i−4i4i4i−4i4i−4i1−51+51−51−51+51+5−1+5−1−5−1+5−1−51−51+5−1+5−1−5000000−1+5−1−5−1+5−1−500000000000000001−51+51−51+52ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14000000000000000000000000000000000000000000000000000000000000000000000000
χ1524-4-44-44-4400004-44-4−1−5−1+54i−4i4i−4i−4i4i−4i4i1+51−51+51+51−51−5−1−5−1+5−1−5−1+51+51−5−1−5−1+5000000−1−5−1+5−1−5−1+500000000000000001+51−51+51−5−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ38000000000000000000000000000000000000000000000000000000000000000000000000
χ1534-4-44-44-4400004-44-4−1−5−1+5−4i4i−4i4i4i−4i4i−4i1+51−51+51+51−51−5−1−5−1+5−1−5−1+51+51−5−1−5−1+5000000−1−5−1+5−1−5−1+500000000000000001+51−51+51−52ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38000000000000000000000000000000000000000000000000000000000000000000000000
χ1544-4-44-44-440000-44-444400000000-4-4-4-4-4-44444-4-444000000-4-4-4-4000000000000000044440000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1554-4-44-44-440000-44-44−1+5−1−5000000001−51+51−51−51+51+5−1+5−1−5−1+5−1−51−51+5−1+5−1−50000001−51+51−51+50000000000000000−1+5−1−5−1+5−1−500000000000000002ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ4+2ζ3600000000000000000000000000000000000000000000000000000000
χ1564-4-44-44-440000-44-44−1+5−1−5000000001−51+51−51−51+51+5−1+5−1−5−1+5−1−51−51+5−1+5−1−50000001−51+51−51+50000000000000000−1+5−1−5−1+5−1−50000000000000000−2ζ12+2ζ282ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ4+2ζ362ζ4−2ζ3600000000000000000000000000000000000000000000000000000000
χ1574-4-44-44-440000-44-44−1−5−1+5000000001+51−51+51+51−51−5−1−5−1+5−1−5−1+51+51−5−1−5−1+50000001+51−51+51−50000000000000000−1−5−1+5−1−5−1+50000000000000000−2ζ4+2ζ362ζ4−2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ28−2ζ12+2ζ2800000000000000000000000000000000000000000000000000000000
χ1584-4-44-44-440000-44-44−1−5−1+5000000001+51−51+51+51−51−5−1−5−1+5−1−5−1+51+51−5−1−5−1+50000001+51−51+51−50000000000000000−1−5−1+5−1−5−1+500000000000000002ζ4−2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ2800000000000000000000000000000000000000000000000000000000

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