Finite Group Databasebeta

← Group #12115322

Character table — Group #12115322

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146
size111122222222222222222222222222222244444444444444444444444444444444444444444444444444444444444444448888888816161616161616161616161616161616202020202020202020202020202020204040404040404040
order1222224444558888888810101010101010101010101010104444888820202020202020202020202020202020202020202020202040404040404040404040404040404040404040404040404040404040404040402222444410101010101010102020202020202020222222444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1
χ51111111111111111-1-1-1-111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-111-1-1-1-1
χ61111111111111111-1-1-1-111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111
χ71111111111111111-1-1-1-111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111111111-1-111-1-1-1-1-1-1
χ81111111111111111-1-1-1-111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1111111
χ9111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111111111-1-111-1-1-1-111-1-1
χ10111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-111
χ11111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1
χ12111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111111111-1-11111-1-1-1-1-1-111
χ13111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-11111-1-1-1-111
χ14111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-111-1-1-1-11111-1-1
χ15111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-111
χ16111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1
χ171-1-111-11-11-11111-1-1ii−i−i1111-1-111-1-1-1-1-1-1ii−i−i1-1i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-11-1i−ii−i11-1-111-1-1ii−i−iii−i−i1-11-11-1i−ii−i1-11-11-1i−i1-1i−ii−i
χ181-1-111-11-11-11111-1-1ii−i−i1111-1-111-1-1-1-1-1-1ii−i−i1-1i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-11-1i−ii−i11-1-111-1-1ii−i−iii−i−i-11-11-11−ii−ii-11-11-11−ii-11−ii−ii
χ191-1-111-11-11-11111-1-1ii−i−i1111-1-111-1-1-1-1-1-1ii−i−i1-1i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-11-11−ii−ii-1-111-1-111−i−iii−i−iii1-11-1-11−ii−ii1-11-1-11−ii-11i−ii−i
χ201-1-111-11-11-11111-1-1ii−i−i1111-1-111-1-1-1-1-1-1ii−i−i1-1i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-11-11−ii−ii-1-111-1-111−i−iii−i−iii-11-111-1i−ii−i-11-111-1i−i1-1−ii−ii
χ211-1-111-11-11-11111-1-1−i−iii1111-1-111-1-1-1-1-1-1−i−iii1-1−ii11-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-11-1−ii−ii11-1-111-1-1−i−iii−i−iii1-11-11-1−ii−ii1-11-11-1−ii1-1−ii−ii
χ221-1-111-11-11-11111-1-1−i−iii1111-1-111-1-1-1-1-1-1−i−iii1-1−ii11-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-11-1−ii−ii11-1-111-1-1−i−iii−i−iii-11-11-11i−ii−i-11-11-11i−i-11i−ii−i
χ231-1-111-11-11-11111-1-1−i−iii1111-1-111-1-1-1-1-1-1−i−iii1-1−ii11-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-11-11i−ii−i-1-111-1-111ii−i−iii−i−i1-11-1-11i−ii−i1-11-1-11i−i-11−ii−ii
χ241-1-111-11-11-11111-1-1−i−iii1111-1-111-1-1-1-1-1-1−i−iii1-1−ii11-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-11-11i−ii−i-1-111-1-111ii−i−iii−i−i-11-111-1−ii−ii-11-111-1−ii1-1i−ii−i
χ251-1-111-11-11-111-1-111ii−i−i1111-1-111-1-1-1-1-1-1−i−iii-11i−i11-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i1-1-11i−i−ii11-1-1-1-111ii−i−i−i−iii1-1-111-1i−ii−i1-1-111-1−ii-11i−i−ii
χ261-1-111-11-11-111-1-111ii−i−i1111-1-111-1-1-1-1-1-1−i−iii-11i−i11-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i1-1-11i−i−ii11-1-1-1-111ii−i−i−i−iii-111-1-11−ii−ii-111-1-11i−i1-1−iii−i
χ271-1-111-11-11-111-1-111ii−i−i1111-1-111-1-1-1-1-1-1−i−iii-11i−i11-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i-111-1−iii−i-1-11111-1-1−i−iiiii−i−i1-1-11-11−ii−ii1-1-11-11i−i1-1i−i−ii
χ281-1-111-11-11-111-1-111ii−i−i1111-1-111-1-1-1-1-1-1−i−iii-11i−i11-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i-111-1−iii−i-1-11111-1-1−i−iiiii−i−i-111-11-1i−ii−i-111-11-1−ii-11−iii−i
χ291-1-111-11-11-111-1-111−i−iii1111-1-111-1-1-1-1-1-1ii−i−i-11−ii11-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii1-1-11−iii−i11-1-1-1-111−i−iiiii−i−i1-1-111-1−ii−ii1-1-111-1i−i-11−iii−i
χ301-1-111-11-11-111-1-111−i−iii1111-1-111-1-1-1-1-1-1ii−i−i-11−ii11-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii1-1-11−iii−i11-1-1-1-111−i−iiiii−i−i-111-1-11i−ii−i-111-1-11−ii1-1i−i−ii
χ311-1-111-11-11-111-1-111−i−iii1111-1-111-1-1-1-1-1-1ii−i−i-11−ii11-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii-111-1i−i−ii-1-11111-1-1ii−i−i−i−iii1-1-11-11i−ii−i1-1-11-11−ii1-1−iii−i
χ321-1-111-11-11-111-1-111−i−iii1111-1-111-1-1-1-1-1-1ii−i−i-11−ii11-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii-111-1i−i−ii-1-11111-1-1ii−i−i−i−iii-111-11-1−ii−ii-111-11-1i−i-11i−i−ii
χ332222222222−1+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+52−1−5222222222−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+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+52−1−52000000000000000000000000
χ342222222222−1+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+52−1−5222222222−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+52000000000000000000000000
χ352222222222−1+52−1−522222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-222-2-2−1+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+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+522222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52000000000000000000000000
χ362222222222−1+52−1−522222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-222-2-2−1+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+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-2-2-2-222221−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000000000
χ372222222222−1+52−1−52-2-2-2-22222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-222−1+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+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+52−1−52−1−52−1−52−1−5222-2-222-2-2−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000000000
χ382222222222−1+52−1−52-2-2-2-22222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-222−1+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+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+52−1−52−1−52−1−52−1−52-2-222-2-2221−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000000000
χ392222222222−1+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+52−1−522222-2-2-2-2−1+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+5222-2-2-2-222−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000000000
χ402222222222−1+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+52−1−522222-2-2-2-2−1+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+52-2-22222-2-21−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000000000
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χ1324-44-4000000−1−5−1+5−222222−22−222222−22−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ281+51−51+51−52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−1−5−1+52-2-2200000000−2ζ362ζ36−2ζ42ζ4−2ζ282ζ28−2ζ122ζ122ζ36−2ζ362ζ4−2ζ42ζ28−2ζ282ζ12−2ζ120000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37000000000000000000000000000000000000000000000000
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χ1394-4-44-4444-4-4−1+5−1−500004i4i−4i−4i1−51−51+51+51−51+5−1+5−1−5−1+5−1+5−1−5−1−51−51+5000000−4i4i−1+5−1−5−1+5−1−500000000000000001−51+51−51+50000000000000000−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ142ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ14000000000000000000000000000000000000000000000000
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χ1414-4-44-4444-4-4−1−5−1+500004i4i−4i−4i1+51+51−51−51+51−5−1−5−1+5−1−5−1−5−1+5−1+51+51−5000000−4i4i−1−5−1+5−1−5−1+500000000000000001+51−51+51−50000000000000000−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ14−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ382ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ142ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ38000000000000000000000000000000000000000000000000
χ1424-4-44-4444-4-4−1−5−1+50000−4i−4i4i4i1+51+51−51−51+51−5−1−5−1+5−1−5−1−5−1+5−1+51+51−50000004i−4i−1−5−1+5−1−5−1+500000000000000001+51−51+51−500000000000000002ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ142ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ38−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ14−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38000000000000000000000000000000000000000000000000
χ1434-4-44-44-4-444−1+5−1−544-4-400001−51−51+51+51−51+5−1+5−1−5−1+5−1+5−1−5−1−51−51+50000-44001−51+51−51+50000000000000000−1+5−1−5−1+5−1−5−1+5−1+51−51−5−1−5−1−51+51+51−51−5−1+5−1+51+51+5−1−5−1−50000000000000000000000000000000000000000000000000000000000000000
χ1444-4-44-44-4-444−1+5−1−5-4-44400001−51−51+51+51−51+5−1+5−1−5−1+5−1+5−1−5−1−51−51+500004-4001−51+51−51+50000000000000000−1+5−1−5−1+5−1−51−51−5−1+5−1+51+51+5−1−5−1−5−1+5−1+51−51−5−1−5−1−51+51+50000000000000000000000000000000000000000000000000000000000000000
χ1454-4-44-44-4-444−1−5−1+544-4-400001+51+51−51−51+51−5−1−5−1+5−1−5−1−5−1+5−1+51+51−50000-44001+51−51+51−50000000000000000−1−5−1+5−1−5−1+5−1−5−1−51+51+5−1+5−1+51−51−51+51+5−1−5−1−51−51−5−1+5−1+50000000000000000000000000000000000000000000000000000000000000000
χ1464-4-44-44-4-444−1−5−1+5-4-44400001+51+51−51−51+51−5−1−5−1+5−1−5−1−5−1+5−1+51+51−500004-4001+51−51+51−50000000000000000−1−5−1+5−1−5−1+51+51+5−1−5−1−51−51−5−1+5−1+5−1−5−1−51+51+5−1+5−1+51−51−50000000000000000000000000000000000000000000000000000000000000000

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