Finite Group Databasebeta

← Group #12121596

Character table — Group #12121596

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146
size11111111222222222222222222222222444444444444444444444444444444888888888888888888888888888888888888888888101010101010101010101010101010101616161616161616202020202020202020202020404040404040
order1222222244444444551010101010101010101010101010444444888888882020202020202020202020202020202044444420202020202020202020202020202020202020204040404040404040404040404040404044444444888888882020202020202020444444448888224444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ511111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1
χ611111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111
χ711111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1
χ811111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-11111
χ9111111111-1-1-1-111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1
χ10111111111-1-1-1-111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-111
χ11111111111-1-1-1-111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1
χ12111111111-1-1-1-111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111
χ13111111111-1-1-1-11111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111
χ14111111111-1-1-1-11111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-111-1-1
χ15111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-111
χ16111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1
χ171-1-111-11-11ii−i−i-1-11111111-1-1-1-1-1-1-1-11111-1-1i−iii−i−i11-1-1iiii−i−i−i−i11-1-111-1-1i−i1-1i−iii−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-111-1-1ii−i−iiiii−i−i−i−iii−i−i11-1-11-1i−iii−i−i11-1-11-11-1i−i
χ181-1-111-11-11ii−i−i-1-11111111-1-1-1-1-1-1-1-11111-1-1i−iii−i−i11-1-1iiii−i−i−i−i11-1-111-1-1i−i1-1i−iii−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1-1-111−i−iii−i−i−i−iiiiiii−i−i11-1-1-11−ii−i−iii-1-111-11-11−ii
χ191-1-111-11-11ii−i−i-1-11111111-1-1-1-1-1-1-1-11111-1-1i−i−i−iii-1-111iiii−i−i−i−i11-1-111-1-1−ii-11i−iii−i−iiiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii-1-1-1-1111111-1-1ii−i−i−i−i−i−iiiii−i−iii-1-1111-1i−i−i−iii-1-111-111-1i−i
χ201-1-111-11-11ii−i−i-1-11111111-1-1-1-1-1-1-1-11111-1-1i−i−i−iii-1-111iiii−i−i−i−i11-1-111-1-1−ii-11i−iii−i−iiiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii-1-1-1-11111-1-111−i−iiiiiii−i−i−i−i−i−iii-1-111-11−iiii−i−i11-1-11-1-11−ii
χ211-1-111-11-11ii−i−i-1-11111111-1-1-1-1-1-1-1-111-1-111i−iii−i−i11-1-1iiii−i−i−i−i11-1-111-1-1−ii-11−iiii−i−i−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i1111-1-1-1-111-1-1ii−i−iiiii−i−i−i−i−i−iii-1-1111-1i−i−i−iii11-1-1-11-11−ii
χ221-1-111-11-11ii−i−i-1-11111111-1-1-1-1-1-1-1-111-1-111i−iii−i−i11-1-1iiii−i−i−i−i11-1-111-1-1−ii-11−iiii−i−i−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1-1-111−i−iii−i−i−i−iiiii−i−iii-1-111-11−iiii−i−i-1-1111-11-1i−i
χ231-1-111-11-11ii−i−i-1-11111111-1-1-1-1-1-1-1-111-1-111i−i−i−iii-1-111iiii−i−i−i−i11-1-111-1-1i−i1-1−iiii−i−i−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii-1-1-1-1111111-1-1ii−i−i−i−i−i−iiiiiii−i−i11-1-11-1i−iii−i−i-1-1111-1-11−ii
χ241-1-111-11-11ii−i−i-1-11111111-1-1-1-1-1-1-1-111-1-111i−i−i−iii-1-111iiii−i−i−i−i11-1-111-1-1i−i1-1−iiii−i−i−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii-1-1-1-11111-1-111−i−iiiiiii−i−i−i−iii−i−i11-1-1-11−ii−i−iii11-1-1-111-1i−i
χ251-1-111-11-11−i−iii-1-11111111-1-1-1-1-1-1-1-11111-1-1−iiii−i−i-1-111−i−i−i−iiiii11-1-111-1-1i−i-11−ii−i−iii−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i-1-1-1-1111111-1-1−i−iiiiiii−i−i−i−iii−i−i-1-1111-1−iiii−i−i-1-111-111-1−ii
χ261-1-111-11-11−i−iii-1-11111111-1-1-1-1-1-1-1-11111-1-1−iiii−i−i-1-111−i−i−i−iiiii11-1-111-1-1i−i-11−ii−i−iii−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i-1-1-1-11111-1-111ii−i−i−i−i−i−iiiiiii−i−i-1-111-11i−i−i−iii11-1-11-1-11i−i
χ271-1-111-11-11−i−iii-1-11111111-1-1-1-1-1-1-1-11111-1-1−ii−i−iii11-1-1−i−i−i−iiiii11-1-111-1-1−ii1-1−ii−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-111-1-1−i−iii−i−i−i−iiiii−i−iii11-1-11-1−ii−i−iii11-1-11-11-1−ii
χ281-1-111-11-11−i−iii-1-11111111-1-1-1-1-1-1-1-11111-1-1−ii−i−iii11-1-1−i−i−i−iiiii11-1-111-1-1−ii1-1−ii−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1-1-111ii−i−iiiii−i−i−i−i−i−iii11-1-1-11i−iii−i−i-1-111-11-11i−i
χ291-1-111-11-11−i−iii-1-11111111-1-1-1-1-1-1-1-111-1-111−iiii−i−i-1-111−i−i−i−iiiii11-1-111-1-1−ii1-1i−i−i−iiiiiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i-1-1-1-1111111-1-1−i−iiiiiii−i−i−i−i−i−iii11-1-11-1−ii−i−iii-1-1111-1-11i−i
χ301-1-111-11-11−i−iii-1-11111111-1-1-1-1-1-1-1-111-1-111−iiii−i−i-1-111−i−i−i−iiiii11-1-111-1-1−ii1-1i−i−i−iiiiiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i-1-1-1-11111-1-111ii−i−i−i−i−i−iiiii−i−iii11-1-1-11i−iii−i−i11-1-1-111-1−ii
χ311-1-111-11-11−i−iii-1-11111111-1-1-1-1-1-1-1-111-1-111−ii−i−iii11-1-1−i−i−i−iiiii11-1-111-1-1i−i-11i−i−i−iiiiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii1111-1-1-1-111-1-1−i−iii−i−i−i−iiiiiii−i−i-1-1111-1−iiii−i−i11-1-1-11-11i−i
χ321-1-111-11-11−i−iii-1-11111111-1-1-1-1-1-1-1-111-1-111−ii−i−iii11-1-1−i−i−i−iiiii11-1-111-1-1i−i-11i−i−i−iiiiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1-1-111ii−i−iiiii−i−i−i−iii−i−i-1-111-11i−i−i−iii-1-1111-11-1−ii
χ332222222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222222222222222−1+52−1+52−1−52−1−52−1+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+52−1−52−1−520000000000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000
χ342222222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52222222-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+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+5200000000000000001−521+521−521+521−521+521−521+52000000000000000000
χ352222222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-22222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+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+52−1−52−1−5200000000000000001−521+521−521+521−521+521−521+52000000000000000000
χ362222222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-222-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222-2-2−1+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+520000000000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000
χ372222222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222222222222222−1−52−1−52−1+52−1+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+520000000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000
χ382222222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52222222-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+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+521−521−5200000000000000001+521−521+521−521+521−521+521−52000000000000000000
χ392222222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-22222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+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+5200000000000000001+521−521+521−521+521−521+521−52000000000000000000
χ402222222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-222-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222-2-2−1−52−1+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+521−521−520000000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000
χ41222222222-2-2-2-2222−1+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+52−1−522222-2-22222-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-2-2-21−521+521−521+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+52−1−52−1−521−521−521+521+521−521−521+521+520000000000000000−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000
χ42222222222-2-2-2-2222−1+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+52−1−522222-2-2-2-2-2-222221−521−521+521+521−521−521+521+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+52−1−52−1−52−1+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+52−1−52−1−5200000000000000001−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000
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χ11844-4-4-4-4440-44-44000−1−5−1+5−1−51+5−1+51−5−1−5−1+5−1−5−1+51+51−51+51−51+51−500000022−2222−22−2222−22221+5−1−51−5−1+51+5−1−51−5−1+50000000000000000000000000000000000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37000000000000000000000000000000000000000000
χ11944-4-4-4-4440-44-44000−1−5−1+5−1−51+5−1+51−5−1−5−1+5−1−5−1+51+51−51+51−51+51−5000000−2222−222222−2222−221+5−1−51−5−1+51+5−1−51−5−1+50000000000000000000000000000000000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37000000000000000000000000000000000000000000
χ1204-44-44-4-440000000044-44-44-4-44444-4-4-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000002i2−2i2−2i22i2−2i22i22i2−2i200000000000000000000000000
χ1214-44-44-4-440000000044-44-44-4-44444-4-4-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000−2i22i22i2−2i22i2−2i2−2i22i200000000000000000000000000
χ1224-44-4-444-404i−4i−4i4i000−1+5−1−5−1+51−5−1−51+51−51+51−51+5−1+5−1−5−1+5−1−51−51+50000002i2−2i2−2i22i222−22−2222−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ140000000000000000000000000000000000ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39000000000000000000000000000000000000000000
χ1234-44-4-444-404i−4i−4i4i000−1+5−1−5−1+51−5−1−51+51−51+51−51+5−1+5−1−5−1+5−1−51−51+5000000−2i22i22i2−2i2−222222−22−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ140000000000000000000000000000000000−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39000000000000000000000000000000000000000000
χ1244-44-4-444-404i−4i−4i4i000−1−5−1+5−1−51+5−1+51−51+51−51+51−5−1−5−1+5−1−5−1+51+51−50000002i2−2i2−2i22i222−22−2222−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ380000000000000000000000000000000000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37000000000000000000000000000000000000000000
χ1254-44-4-444-404i−4i−4i4i000−1−5−1+5−1−51+5−1+51−51+51−51+51−5−1−5−1+5−1−5−1+51+51−5000000−2i22i22i2−2i2−222222−22−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ380000000000000000000000000000000000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37000000000000000000000000000000000000000000
χ1264-44-4-444-40−4i4i4i−4i000−1+5−1−5−1+51−5−1−51+51−51+51−51+5−1+5−1−5−1+5−1−51−51+50000002i2−2i2−2i22i2−222222−222ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ140000000000000000000000000000000000ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39000000000000000000000000000000000000000000
χ1274-44-4-444-40−4i4i4i−4i000−1+5−1−5−1+51−5−1−51+51−51+51−51+5−1+5−1−5−1+5−1−51−51+5000000−2i22i22i2−2i222−22−22222ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ140000000000000000000000000000000000−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39000000000000000000000000000000000000000000
χ1284-44-4-444-40−4i4i4i−4i000−1−5−1+5−1−51+5−1+51−51+51−51+51−5−1−5−1+5−1−5−1+51+51−50000002i2−2i2−2i22i2−222222−222ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ380000000000000000000000000000000000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37000000000000000000000000000000000000000000
χ1294-44-4-444-40−4i4i4i−4i000−1−5−1+5−1−51+5−1+51−51+51−51+51−5−1−5−1+5−1−5−1+51+51−5000000−2i22i22i2−2i222−22−22222ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ380000000000000000000000000000000000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37000000000000000000000000000000000000000000
χ1304-4-444-44-4-44i4i−4i−4i44-4−1+5−1−5−1+5−1+5−1−5−1−51−51+51−51+51−51+51−51+5−1+5−1−50000−4i4i00000000−2ζ22−2ζ38−2ζ22−2ζ38−2ζ6−2ζ14−2ζ6−2ζ142ζ22+2ζ382ζ22+2ζ382ζ6+2ζ142ζ6+2ζ141−51+5−1+5−1−51−51+5−1+5−1−50000002ζ22+2ζ382ζ6+2ζ14−2ζ22−2ζ38−2ζ6−2ζ1400000000000000000000000000000000000000000000000000000000000000000000000000
χ1314-4-444-44-4-44i4i−4i−4i44-4−1−5−1+5−1−5−1−5−1+5−1+51+51−51+51−51+51−51+51−5−1−5−1+50000−4i4i00000000−2ζ6−2ζ14−2ζ6−2ζ14−2ζ22−2ζ38−2ζ22−2ζ382ζ6+2ζ142ζ6+2ζ142ζ22+2ζ382ζ22+2ζ381+51−5−1−5−1+51+51−5−1−5−1+50000002ζ6+2ζ142ζ22+2ζ38−2ζ6−2ζ14−2ζ22−2ζ3800000000000000000000000000000000000000000000000000000000000000000000000000
χ1324-4-444-44-4-4−4i−4i4i4i44-4−1+5−1−5−1+5−1+5−1−5−1−51−51+51−51+51−51+51−51+5−1+5−1−500004i−4i000000002ζ22+2ζ382ζ22+2ζ382ζ6+2ζ142ζ6+2ζ14−2ζ22−2ζ38−2ζ22−2ζ38−2ζ6−2ζ14−2ζ6−2ζ141−51+5−1+5−1−51−51+5−1+5−1−5000000−2ζ22−2ζ38−2ζ6−2ζ142ζ22+2ζ382ζ6+2ζ1400000000000000000000000000000000000000000000000000000000000000000000000000
χ1334-4-444-44-4-4−4i−4i4i4i44-4−1−5−1+5−1−5−1−5−1+5−1+51+51−51+51−51+51−51+51−5−1−5−1+500004i−4i000000002ζ6+2ζ142ζ6+2ζ142ζ22+2ζ382ζ22+2ζ38−2ζ6−2ζ14−2ζ6−2ζ14−2ζ22−2ζ38−2ζ22−2ζ381+51−5−1−5−1+51+51−5−1−5−1+5000000−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ3800000000000000000000000000000000000000000000000000000000000000000000000000
χ1344-4-44-44-44400004-4-444-4-4-4-4-4-444-4-44444000000000000000000000044-4-4-4-444000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1354-4-44-44-44400004-4-4−1+5−1−51−51−51+51+51−51+5−1+5−1−51−51+5−1+5−1−5−1+5−1−50000000000000000000000−1+5−1−51−51+51−51+5−1+5−1−500000000002ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ36000000000000000000000000000000000000000000000000000000000000000000
χ1364-4-44-44-44400004-4-4−1+5−1−51−51−51+51+51−51+5−1+5−1−51−51+5−1+5−1−5−1+5−1−50000000000000000000000−1+5−1−51−51+51−51+5−1+5−1−50000000000−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ36000000000000000000000000000000000000000000000000000000000000000000
χ1374-4-44-44-44400004-4-4−1−5−1+51+51+51−51−51+51−5−1−5−1+51+51−5−1−5−1+5−1−5−1+50000000000000000000000−1−5−1+51+51−51+51−5−1−5−1+50000000000−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ28000000000000000000000000000000000000000000000000000000000000000000
χ1384-4-44-44-44400004-4-4−1−5−1+51+51+51−51−51+51−5−1−5−1+51+51−5−1−5−1+5−1−5−1+50000000000000000000000−1−5−1+51+51−51+51−5−1−5−1+500000000002ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ28000000000000000000000000000000000000000000000000000000000000000000
χ1394-4-44-44-44-40000-444−1+5−1−51−51−51+51+51−51+5−1+5−1−51−51+5−1+5−1−5−1+5−1−54-4-440000000000000000001−51+5−1+5−1−5−1+5−1−51−51+5000000000000000000−1+51−5−1−51+51−5−1+51+5−1−50000000000000000000000000000000000000000000000000000000000
χ1404-4-44-44-44-40000-444−1+5−1−51−51−51+51+51−51+5−1+5−1−51−51+5−1+5−1−5−1+5−1−5-444-40000000000000000001−51+5−1+5−1−5−1+5−1−51−51+50000000000000000001−5−1+51+5−1−5−1+51−5−1−51+50000000000000000000000000000000000000000000000000000000000
χ1414-4-44-44-44-40000-444−1−5−1+51+51+51−51−51+51−5−1−5−1+51+51−5−1−5−1+5−1−5−1+54-4-440000000000000000001+51−5−1−5−1+5−1−5−1+51+51−5000000000000000000−1−51+5−1+51−51+5−1−51−5−1+50000000000000000000000000000000000000000000000000000000000
χ1424-4-44-44-44-40000-444−1−5−1+51+51+51−51−51+51−5−1−5−1+51+51−5−1−5−1+5−1−5−1+5-444-40000000000000000001+51−5−1−5−1+5−1−5−1+51+51−50000000000000000001+5−1−51−5−1+5−1−51+5−1+51−50000000000000000000000000000000000000000000000000000000000
χ14388-8-888-8-800000000−2+25−2−252−25−2+252+25−2−25−2+25−2−252−252+252−252+25−2+25−2−252−252+25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14488-8-888-8-800000000−2−25−2+252+25−2−252−25−2+25−2−25−2+252+252−252+252−25−2−25−2+252+252−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1458-88-88-8-8800000000−2+25−2−252−25−2+252+25−2−252−252+25−2+25−2−25−2+25−2−252−252+252−252+25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1468-88-88-8-8800000000−2−25−2+252+25−2−252−25−2+252+252−25−2−25−2+25−2−25−2+252+252−252+252−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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