Finite Group Databasebeta

← Group #12121410

Character table — Group #12121410

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164
size11111111111111112222222222222222222222222222222244444444444444444444888888888888888888888888888888888888888888888888888888888888101010101010101010101010101010102020202020202020202020202020202040404040
order1222222244444444551010101010101010101010101010202020202020202020202020202020202222444488888888888844881010101010101010202020202020202020202020202020204040404040404040404040404040404040404040404040404040404040404040444444448888888822444444888888884488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111
χ511111111111111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111
χ811111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-111-1-1
χ9111111111111111111111111111111111111111111111111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ10111111111111111111111111111111111111111111111111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ11111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ12111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-1
χ13111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ14111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ15111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ16111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111
χ1711111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−i1-1i−i111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i11-1-111-1-1ii−i−iii−i−i1-1i−i
χ1811111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−i1-1i−i111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii-1-111-1-111−i−iii−i−iii-11−ii
χ1911111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii1-1−ii111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii11-1-111-1-1−i−iii−i−iii1-1−ii
χ2011111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii1-1−ii111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i-1-111-1-111ii−i−iii−i−i-11i−i
χ2111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111ii−i−iii−i−i−i−iii-11−ii1111-1-1-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i-1-11111-1-1ii−i−i−i−iii-11−ii
χ2211111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111ii−i−iii−i−i−i−iii-11−ii1111-1-1-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii11-1-1-1-111−i−iiiii−i−i1-1i−i
χ2311111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111−i−iii−i−iiiii−i−i-11i−i1111-1-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii-1-11111-1-1−i−iiiii−i−i-11i−i
χ2411111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111−i−iii−i−iiiii−i−i-11i−i1111-1-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i11-1-1-1-111ii−i−i−i−iii1-1−ii
χ2511111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1ii−i−i−i−iiiii−i−i-11−ii-1-1-1-11111-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i11-1-1-1-111−i−iiiii−i−i-11−ii
χ2611111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1ii−i−i−i−iiiii−i−i-11−ii-1-1-1-11111-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii-1-11111-1-1ii−i−i−i−iii1-1i−i
χ2711111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1−i−iiiii−i−i−i−iii-11i−i-1-1-1-11111-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii11-1-1-1-111ii−i−i−i−iii-11i−i
χ2811111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1−i−iiiii−i−i−i−iii-11i−i-1-1-1-11111-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i-1-11111-1-1−i−iiiii−i−i1-1−ii
χ2911111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii−i−iii1-1i−i-1-1-1-1-1-1-1-11111-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i-1-111-1-111−i−iii−i−iii1-1i−i
χ3011111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii−i−iii1-1i−i-1-1-1-1-1-1-1-11111-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii11-1-111-1-1ii−i−iii−i−i-11−ii
χ3111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−iii−i−i1-1−ii-1-1-1-1-1-1-1-11111-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii-1-111-1-111ii−i−iii−i−i1-1−ii
χ3211111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−iii−i−i1-1−ii-1-1-1-1-1-1-1-11111-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i11-1-111-1-1−i−iii−i−iii-11i−i
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+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52222222222222222222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000000000000000000000
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+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−5222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-2−1+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+52000000000000000000000000000000000000
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+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−5222-2-222-2-222222222-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52000000000000000000000000000000000000
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+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−5222-2-222-2-2-2-2-2-2-2-2-2-22222-2-222−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+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+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000000000000000000000
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+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52-2-222-2-2222222-2-2-2-22222-2-2-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+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+52−1−52−1−521−521−521+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+52000000000000000000000000000000000000
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+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52-2-222-2-222-2-2-2-22222-2-2-2-2-2-2221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+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+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000000000000000000000
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+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+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+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000000000000000000000
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χ4922222222-2-2-2-2-2-2-2-2−1+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+52−1−521−521−521+521+521−521−521−521−521+521+521+521+521−521−521+521+522222-2-2-2-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2-22i−2i−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+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14000000000000000000000000000000000000
χ5022222222-2-2-2-2-2-2-2-2−1+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+52−1−521−521−521+521+521−521−521−521−521+521+521+521+521−521−521+521+522222-2-2-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i2-2−2i2i−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+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14000000000000000000000000000000000000
χ5122222222-2-2-2-2-2-2-2-2−1+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+52−1−521−521−521+521+521−521−521−521−521+521+521+521+521−521−521+521+5222-2-2-2-2222i2i−2i−2i2i2i−2i−2i−2i−2i2i2i-22−2i2i−1+52−1+52−1−52−1−521−521−521+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−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14000000000000000000000000000000000000
χ5222222222-2-2-2-2-2-2-2-2−1+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+52−1−521−521−521+521+521−521−521−521−521+521+521+521+521−521−521+521+5222-2-2-2-222−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i-222i−2i−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14000000000000000000000000000000000000
χ5322222222-2-2-2-2-2-2-2-2−1+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+52−1−521−521−521+521+521−521−521−521−521+521+521+521+521−521−521+521+52-2-22222-2-22i2i−2i−2i−2i−2i2i2i2i2i−2i−2i-22−2i2i1−521−521+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+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14000000000000000000000000000000000000
χ5422222222-2-2-2-2-2-2-2-2−1+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+52−1−521−521−521+521+521−521−521−521−521+521+521+521+521−521−521+521+52-2-22222-2-2−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i-222i−2i1−521−521+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+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14000000000000000000000000000000000000
χ5522222222-2-2-2-2-2-2-2-2−1+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+52−1−521−521−521+521+521−521−521−521−521+521+521+521+521−521−521+521+52-2-2-2-222222i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2-22i−2i1−521−521+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+52−1−52−1−52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14000000000000000000000000000000000000
χ5622222222-2-2-2-2-2-2-2-2−1+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+52−1−521−521−521+521+521−521−521−521−521+521+521+521+521−521−521+521+52-2-2-2-22222−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i2-2−2i2i1−521−521+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+52−1−52−1−52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14000000000000000000000000000000000000
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χ5822222222-2-2-2-2-2-2-2-2−1−52−1+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+521+521+521−521−521+521+521+521+521−521−521−521−521+521+521−521−522222-2-2-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i2-2−2i2i−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+521−521−52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38000000000000000000000000000000000000
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χ1464-44-44-44-4−4i4i−4i4i4i−4i−4i4i−1+5−1−51−5−1+51−5−1+51+5−1−51+5−1−51−5−1+51+5−1−51−51+5−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ1400000000000000000000000000000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ140000000000000000000000000000000000000000000000000000000000000000000000000000
χ1474-44-44-44-4−4i4i−4i4i4i−4i−4i4i−1−5−1+51+5−1−51+5−1−51−5−1+51−5−1+51+5−1−51−5−1+51+51−5−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ3800000000000000000000000000000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ380000000000000000000000000000000000000000000000000000000000000000000000000000
χ1484-44-44-44-4−4i4i−4i4i4i−4i−4i4i−1−5−1+51+5−1−51+5−1−51−5−1+51−5−1+51+5−1−51−5−1+51+51−5−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38000000000000000000000000000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ380000000000000000000000000000000000000000000000000000000000000000000000000000
χ1494-4-4444-4-44444-4-4-4-4−1+5−1−51−51−51−51−51+51+51+51+5−1+5−1+5−1−5−1−5−1+5−1−51−51−51+51+5−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−51−51−51+51+54-4004-4000000000000000000−1+51−5−1−51+5000000000000−1+51−5−1−51+5000000000000000000000000000000000000000000000000000000000000000000000000
χ1504-4-4444-4-44444-4-4-4-4−1+5−1−51−51−51−51−51+51+51+51+5−1+5−1+5−1−5−1−5−1+5−1−51−51−51+51+5−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−51−51−51+51+5-4400-440000000000000000001−5−1+51+5−1−50000000000001−5−1+51+5−1−5000000000000000000000000000000000000000000000000000000000000000000000000
χ1514-4-4444-4-44444-4-4-4-4−1−5−1+51+51+51+51+51−51−51−51−5−1−5−1−5−1+5−1+5−1−5−1+51+51+51−51−5−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+51+51+51−51−54-4004-4000000000000000000−1−51+5−1+51−5000000000000−1−51+5−1+51−5000000000000000000000000000000000000000000000000000000000000000000000000
χ1524-4-4444-4-44444-4-4-4-4−1−5−1+51+51+51+51+51−51−51−51−5−1−5−1−5−1+5−1+5−1−5−1+51+51+51−51−5−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+51+51+51−51−5-4400-440000000000000000001+5−1−51−5−1+50000000000001+5−1−51−5−1+5000000000000000000000000000000000000000000000000000000000000000000000000
χ1534-4-4444-4-4-4-4-4-44444−1+5−1−51−51−51−51−51+51+51+51+5−1+5−1+5−1−5−1−5−1+5−1−5−1+5−1+5−1−5−1−51−51−51−51−51+51+51+51+5−1+5−1+5−1−5−1−54-400-44000000000000000000−1+51−5−1−51+50000000000001−5−1+51+5−1−5000000000000000000000000000000000000000000000000000000000000000000000000
χ1544-4-4444-4-4-4-4-4-44444−1+5−1−51−51−51−51−51+51+51+51+5−1+5−1+5−1−5−1−5−1+5−1−5−1+5−1+5−1−5−1−51−51−51−51−51+51+51+51+5−1+5−1+5−1−5−1−5-44004-40000000000000000001−5−1+51+5−1−5000000000000−1+51−5−1−51+5000000000000000000000000000000000000000000000000000000000000000000000000
χ1554-4-4444-4-4-4-4-4-44444−1−5−1+51+51+51+51+51−51−51−51−5−1−5−1−5−1+5−1+5−1−5−1+5−1−5−1−5−1+5−1+51+51+51+51+51−51−51−51−5−1−5−1−5−1+5−1+54-400-44000000000000000000−1−51+5−1+51−50000000000001+5−1−51−5−1+5000000000000000000000000000000000000000000000000000000000000000000000000
χ1564-4-4444-4-4-4-4-4-44444−1−5−1+51+51+51+51+51−51−51−51−5−1−5−1−5−1+5−1+5−1−5−1+5−1−5−1−5−1+5−1+51+51+51+51+51−51−51−51−5−1−5−1−5−1+5−1+5-44004-40000000000000000001+5−1−51−5−1+5000000000000−1−51+5−1+51−5000000000000000000000000000000000000000000000000000000000000000000000000
χ1574-4-4-4-44444-4-44-4-444−1+5−1−51−5−1+5−1+51−51+5−1−5−1−51+51−51−51+51+5−1+5−1−51−51−51+51+5−1+51−51−5−1+5−1−51+51+5−1−5−1+5−1+5−1−5−1−500000000000000004-44-400000000000000000000000000000000000000000000−1+51−5−1−51+5−1+51−5−1−51+500000000000000000000000000000000000000000000
χ1584-4-4-4-44444-4-44-4-444−1+5−1−51−5−1+5−1+51−51+5−1−5−1−51+51−51−51+51+5−1+5−1−51−51−51+51+5−1+51−51−5−1+5−1−51+51+5−1−5−1+5−1+5−1−5−1−50000000000000000-44-44000000000000000000000000000000000000000000001−5−1+51+5−1−51−5−1+51+5−1−500000000000000000000000000000000000000000000
χ1594-4-4-4-44444-4-44-4-444−1−5−1+51+5−1−5−1−51+51−5−1+5−1+51−51+51+51−51−5−1−5−1+51+51+51−51−5−1−51+51+5−1−5−1+51−51−5−1+5−1−5−1−5−1+5−1+500000000000000004-44-400000000000000000000000000000000000000000000−1−51+5−1+51−5−1−51+5−1+51−500000000000000000000000000000000000000000000
χ1604-4-4-4-44444-4-44-4-444−1−5−1+51+5−1−5−1−51+51−5−1+5−1+51−51+51+51−51−5−1−5−1+51+51+51−51−5−1−51+51+5−1−5−1+51−51−5−1+5−1−5−1−5−1+5−1+50000000000000000-44-44000000000000000000000000000000000000000000001+5−1−51−5−1+51+5−1−51−5−1+500000000000000000000000000000000000000000000
χ1614-4-4-4-4444-444-444-4-4−1+5−1−51−5−1+5−1+51−51+5−1−5−1−51+51−51−51+51+5−1+5−1−5−1+5−1+5−1−5−1−51−5−1+5−1+51−51+5−1−5−1−51+51−51−51+51+500000000000000004i−4i−4i4i00000000000000000000000000000000000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ1400000000000000000000000000000000000000000000
χ1624-4-4-4-4444-444-444-4-4−1+5−1−51−5−1+5−1+51−51+5−1−5−1−51+51−51−51+51+5−1+5−1−5−1+5−1+5−1−5−1−51−5−1+5−1+51−51+5−1−5−1−51+51−51−51+51+50000000000000000−4i4i4i−4i000000000000000000000000000000000000000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ1400000000000000000000000000000000000000000000
χ1634-4-4-4-4444-444-444-4-4−1−5−1+51+5−1−5−1−51+51−5−1+5−1+51−51+51+51−51−5−1−5−1+5−1−5−1−5−1+5−1+51+5−1−5−1−51+51−5−1+5−1+51−51+51+51−51−500000000000000004i−4i−4i4i00000000000000000000000000000000000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ3800000000000000000000000000000000000000000000
χ1644-4-4-4-4444-444-444-4-4−1−5−1+51+5−1−5−1−51+51−5−1+5−1+51−51+51+51−51−5−1−5−1+5−1−5−1−5−1+5−1+51+5−1−5−1−51+51−5−1+5−1+51−51+51+51−51−50000000000000000−4i4i4i−4i000000000000000000000000000000000000000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ3800000000000000000000000000000000000000000000

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