Finite Group Databasebeta

← Group #12106330

Character table — Group #12106330

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176
size111111111111111122222222222222222222222222222222444444444444444444444444444455555555555555558888888888888888888888888888888888888888888888888888888820202020202020202020202020202020202020202020202020202020
order1222222244444444551010101010101010101010101010202020202020202020202020202020202244444444448888888888888888888888888888888810101010202020202020202020202020202020202020202040404040404040404040404040404040404040404040404040404040404040402244444444444444888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ511111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ611111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ711111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ9111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ10111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ11111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ12111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111
χ13111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ14111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111
χ15111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ16111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ1711111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1ii−i−iii−i−iii−i−iii−i−iiiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-11111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-111-1-111-1-111-1-1ii−i−iii−i−iii−i−i
χ1811111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-11111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i-1-111-1-111-1-111-1-111−i−iii−i−iii−i−iii
χ1911111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1−i−iii−i−iii−i−iii−i−iiiiiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-11111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111-1-111-1-111ii−i−iii−i−iii−i−i
χ2011111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1−i−iii−i−iii−i−iii−i−iii−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-11111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-111-1-111-1-1−i−iii−i−iii−i−iii
χ2111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1ii−i−iii−i−i−i−iii−i−iiiiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-11111-1-111-1-1-1-111−i−iii−i−iiiii−i−i
χ2211111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1ii−i−iii−i−i−i−iii−i−iii−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111-1-11111-1-1ii−i−iii−i−i−i−iii
χ2311111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1−i−iii−i−iiiii−i−iii−i−iiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111-1-11111-1-1−i−iii−i−iiiii−i−i
χ2411111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1−i−iii−i−iiiii−i−iii−i−i−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-111-1-1-1-111ii−i−iii−i−i−i−iii
χ2511111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111-1-1-1-1-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1-1-11111-1-1ii−i−i−i−iii−i−iii
χ2611111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111-1-1-1-1-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-11111-1-1-1-111−i−iiiii−i−iii−i−i
χ2711111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii11-1-1-1-11111-1-1-1-111ii−i−i−i−iii−i−iii
χ2811111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1-1-11111-1-1−i−iiiii−i−iii−i−i
χ2911111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111ii−i−i−i−iii−i−iiiii−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-111111111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1-1-111-1-111−i−iiiii−i−i−i−iii
χ3011111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111ii−i−i−i−iii−i−iiiii−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-111111111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-111-1-11111-1-111-1-1ii−i−i−i−iiiii−i−i
χ3111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111−i−iiiii−i−iii−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-111111111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-111-1-11111-1-111-1-1−i−iiiii−i−i−i−iii
χ3211111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111−i−iiiii−i−iii−i−i−i−iii−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-111111111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1-1-111-1-111ii−i−i−i−iiiii−i−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+52−1−52−1−5222222222222222222222222222220000000000000000−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000000000000000
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+52−1−52−1−52222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+520000000000000000000000000000
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+52−1−52−1−5222-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-20000000000000000−1+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+52−1−52−1−521−521−521+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+520000000000000000000000000000
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+52−1−52−1−5222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-2222222220000000000000000−1+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+52−1−52−1−521−521−521+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+52−1−52−1−520000000000000000000000000000
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+52−1−52−1−52-2-22222-2-2-2-2-2-22222-2-2-2-22222-2-2-2-200000000000000001−521−521+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+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+52−1−52−1−520000000000000000000000000000
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χ1534-44-44-44-44i−4i−4i4i−4i4i4i−4i−1+5−1−5−1+51−5−1−51+51−5−1+51−5−1+51+5−1−51+5−1−51−51+52ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ1400000000000000000000−4ζ7−4ζ23−4ζ31−4ζ394ζ7+4ζ23+4ζ31+4ζ39−4ζ13−4ζ21−4ζ29−4ζ374ζ13+4ζ21+4ζ29+4ζ37000000000000000000000000000000000000000000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ232ζ31+2ζ39−2ζ31−2ζ392ζ13+2ζ37−2ζ13−2ζ372ζ21+2ζ29−2ζ21−2ζ290000000000000000000000000000
χ1544-44-44-44-44i−4i−4i4i−4i4i4i−4i−1+5−1−5−1+51−5−1−51+51−5−1+51−5−1+51+5−1−51+5−1−51−51+52ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14000000000000000000004ζ7+4ζ23+4ζ31+4ζ39−4ζ7−4ζ23−4ζ31−4ζ394ζ13+4ζ21+4ζ29+4ζ37−4ζ13−4ζ21−4ζ29−4ζ3700000000000000000000000000000000000000000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ23−2ζ31−2ζ392ζ31+2ζ39−2ζ13−2ζ372ζ13+2ζ37−2ζ21−2ζ292ζ21+2ζ290000000000000000000000000000
χ1554-44-44-44-44i−4i−4i4i−4i4i4i−4i−1−5−1+5−1−51+5−1+51−51+5−1−51+5−1−51−5−1+51−5−1+51+51−52ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ3800000000000000000000−4ζ7−4ζ23−4ζ31−4ζ394ζ7+4ζ23+4ζ31+4ζ39−4ζ13−4ζ21−4ζ29−4ζ374ζ13+4ζ21+4ζ29+4ζ37000000000000000000000000000000000000000000000000000000000000000000002ζ31+2ζ39−2ζ31−2ζ392ζ7+2ζ23−2ζ7−2ζ232ζ21+2ζ29−2ζ21−2ζ292ζ13+2ζ37−2ζ13−2ζ370000000000000000000000000000
χ1564-44-44-44-44i−4i−4i4i−4i4i4i−4i−1−5−1+5−1−51+5−1+51−51+5−1−51+5−1−51−5−1+51−5−1+51+51−52ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38000000000000000000004ζ7+4ζ23+4ζ31+4ζ39−4ζ7−4ζ23−4ζ31−4ζ394ζ13+4ζ21+4ζ29+4ζ37−4ζ13−4ζ21−4ζ29−4ζ3700000000000000000000000000000000000000000000000000000000000000000000−2ζ31−2ζ392ζ31+2ζ39−2ζ7−2ζ232ζ7+2ζ23−2ζ21−2ζ292ζ21+2ζ29−2ζ13−2ζ372ζ13+2ζ370000000000000000000000000000
χ1574-44-44-44-4−4i4i4i−4i4i−4i−4i4i−1+5−1−5−1+51−5−1−51+51−5−1+51−5−1+51+5−1−51+5−1−51−51+5−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ1400000000000000000000−4ζ13−4ζ21−4ζ29−4ζ374ζ13+4ζ21+4ζ29+4ζ37−4ζ7−4ζ23−4ζ31−4ζ394ζ7+4ζ23+4ζ31+4ζ39000000000000000000000000000000000000000000000000000000000000000000002ζ13+2ζ37−2ζ13−2ζ372ζ21+2ζ29−2ζ21−2ζ292ζ7+2ζ23−2ζ7−2ζ232ζ31+2ζ39−2ζ31−2ζ390000000000000000000000000000
χ1584-44-44-44-4−4i4i4i−4i4i−4i−4i4i−1+5−1−5−1+51−5−1−51+51−5−1+51−5−1+51+5−1−51+5−1−51−51+5−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14000000000000000000004ζ13+4ζ21+4ζ29+4ζ37−4ζ13−4ζ21−4ζ29−4ζ374ζ7+4ζ23+4ζ31+4ζ39−4ζ7−4ζ23−4ζ31−4ζ3900000000000000000000000000000000000000000000000000000000000000000000−2ζ13−2ζ372ζ13+2ζ37−2ζ21−2ζ292ζ21+2ζ29−2ζ7−2ζ232ζ7+2ζ23−2ζ31−2ζ392ζ31+2ζ390000000000000000000000000000
χ1594-44-44-44-4−4i4i4i−4i4i−4i−4i4i−1−5−1+5−1−51+5−1+51−51+5−1−51+5−1−51−5−1+51−5−1+51+51−5−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ3800000000000000000000−4ζ13−4ζ21−4ζ29−4ζ374ζ13+4ζ21+4ζ29+4ζ37−4ζ7−4ζ23−4ζ31−4ζ394ζ7+4ζ23+4ζ31+4ζ39000000000000000000000000000000000000000000000000000000000000000000002ζ21+2ζ29−2ζ21−2ζ292ζ13+2ζ37−2ζ13−2ζ372ζ31+2ζ39−2ζ31−2ζ392ζ7+2ζ23−2ζ7−2ζ230000000000000000000000000000
χ1604-44-44-44-4−4i4i4i−4i4i−4i−4i4i−1−5−1+5−1−51+5−1+51−51+5−1−51+5−1−51−5−1+51−5−1+51+51−5−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38000000000000000000004ζ13+4ζ21+4ζ29+4ζ37−4ζ13−4ζ21−4ζ29−4ζ374ζ7+4ζ23+4ζ31+4ζ39−4ζ7−4ζ23−4ζ31−4ζ3900000000000000000000000000000000000000000000000000000000000000000000−2ζ21−2ζ292ζ21+2ζ29−2ζ13−2ζ372ζ13+2ζ37−2ζ31−2ζ392ζ31+2ζ39−2ζ7−2ζ232ζ7+2ζ230000000000000000000000000000
χ1614-4-4444-4-444-4-444-4-4−1+5−1−51−51−51+51+51−51−5−1+5−1+51+51+5−1−5−1−5−1+5−1−51−51−5−1+5−1+51+51+5−1−5−1−51−51−51+51+5−1+5−1+5−1−5−1−500000000000000004-44-40000000000000000000000000000000000000000000000000000000000000000−1+51−5−1−51+5−1+51−5−1−51+5000000000000000000000000000000000000
χ1624-4-4444-4-444-4-444-4-4−1+5−1−51−51−51+51+51−51−5−1+5−1+51+51+5−1−5−1−5−1+5−1−51−51−5−1+5−1+51+51+5−1−5−1−51−51−51+51+5−1+5−1+5−1−5−1−50000000000000000-44-4400000000000000000000000000000000000000000000000000000000000000001−5−1+51+5−1−51−5−1+51+5−1−5000000000000000000000000000000000000
χ1634-4-4444-4-444-4-444-4-4−1−5−1+51+51+51−51−51+51+5−1−5−1−51−51−5−1+5−1+5−1−5−1+51+51+5−1−5−1−51−51−5−1+5−1+51+51+51−51−5−1−5−1−5−1+5−1+500000000000000004-44-40000000000000000000000000000000000000000000000000000000000000000−1−51+5−1+51−5−1−51+5−1+51−5000000000000000000000000000000000000
χ1644-4-4444-4-444-4-444-4-4−1−5−1+51+51+51−51−51+51+5−1−5−1−51−51−5−1+5−1+5−1−5−1+51+51+5−1−5−1−51−51−5−1+5−1+51+51+51−51−5−1−5−1−5−1+5−1+50000000000000000-44-4400000000000000000000000000000000000000000000000000000000000000001+5−1−51−5−1+51+5−1−51−5−1+5000000000000000000000000000000000000
χ1654-4-4444-4-4-4-444-4-444−1+5−1−51−51−51+51+51−51−5−1+5−1+51+51+5−1−5−1−5−1+5−1−5−1+5−1+51−51−5−1−5−1−51+51+5−1+5−1+5−1−5−1−51−51−51+51+500000000000000004i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14000000000000000000000000000000000000
χ1664-4-4444-4-4-4-444-4-444−1+5−1−51−51−51+51+51−51−5−1+5−1+51+51+5−1−5−1−5−1+5−1−5−1+5−1+51−51−5−1−5−1−51+51+5−1+5−1+5−1−5−1−51−51−51+51+50000000000000000−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14000000000000000000000000000000000000
χ1674-4-4444-4-4-4-444-4-444−1−5−1+51+51+51−51−51+51+5−1−5−1−51−51−5−1+5−1+5−1−5−1+5−1−5−1−51+51+5−1+5−1+51−51−5−1−5−1−5−1+5−1+51+51+51−51−500000000000000004i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38000000000000000000000000000000000000
χ1684-4-4444-4-4-4-444-4-444−1−5−1+51+51+51−51−51+51+5−1−5−1−51−51−5−1+5−1+5−1−5−1+5−1−5−1−51+51+5−1+5−1+51−51−5−1−5−1−5−1+5−1+51+51+51−51−50000000000000000−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38000000000000000000000000000000000000
χ1694-4-4-4-444444-4-4-4-444−1+5−1−5−1+5−1+5−1−5−1−51−51−51−51−51+51+51+51+5−1+5−1−51−51−51−51−51+51+51+51+5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−54-4000000004-400000000000000000000000000000000−1+51−5−1−51+50000000000000000−1+51−5−1−51+5000000000000000000000000000000000000000000000000000000000000
χ1704-4-4-4-444444-4-4-4-444−1+5−1−5−1+5−1+5−1−5−1−51−51−51−51−51+51+51+51+5−1+5−1−51−51−51−51−51+51+51+51+5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−5-4400000000-44000000000000000000000000000000001−5−1+51+5−1−500000000000000001−5−1+51+5−1−5000000000000000000000000000000000000000000000000000000000000
χ1714-4-4-4-444444-4-4-4-444−1−5−1+5−1−5−1−5−1+5−1+51+51+51+51+51−51−51−51−5−1−5−1+51+51+51+51+51−51−51−51−5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+54-4000000004-400000000000000000000000000000000−1−51+5−1+51−50000000000000000−1−51+5−1+51−5000000000000000000000000000000000000000000000000000000000000
χ1724-4-4-4-444444-4-4-4-444−1−5−1+5−1−5−1−5−1+5−1+51+51+51+51+51−51−51−51−5−1−5−1+51+51+51+51+51−51−51−51−5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+5-4400000000-44000000000000000000000000000000001+5−1−51−5−1+500000000000000001+5−1−51−5−1+5000000000000000000000000000000000000000000000000000000000000
χ1734-4-4-4-4444-4-44444-4-4−1+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+5−1+5−1+5−1−5−1−5−1−5−1−51−51−51+51+51−51−51+51+54-400000000-4400000000000000000000000000000000−1+51−5−1−51+500000000000000001−5−1+51+5−1−5000000000000000000000000000000000000000000000000000000000000
χ1744-4-4-4-4444-4-44444-4-4−1+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+5−1+5−1+5−1−5−1−5−1−5−1−51−51−51+51+51−51−51+51+5-44000000004-4000000000000000000000000000000001−5−1+51+5−1−50000000000000000−1+51−5−1−51+5000000000000000000000000000000000000000000000000000000000000
χ1754-4-4-4-4444-4-44444-4-4−1−5−1+5−1−5−1−5−1+5−1+51+51+51+51+51−51−51−51−5−1−5−1+5−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+51+51+51−51−51+51+51−51−54-400000000-4400000000000000000000000000000000−1−51+5−1+51−500000000000000001+5−1−51−5−1+5000000000000000000000000000000000000000000000000000000000000
χ1764-4-4-4-4444-4-44444-4-4−1−5−1+5−1−5−1−5−1+5−1+51+51+51+51+51−51−51−51−5−1−5−1+5−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+51+51+51−51−51+51+51−51−5-44000000004-4000000000000000000000000000000001+5−1−51−5−1+50000000000000000−1−51+5−1+51−5000000000000000000000000000000000000000000000000000000000000

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