Finite Group Databasebeta

← Group #12111475

Character table — Group #12111475

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size111111112222222222222222222244444444444488888888888888888888888888888888888810101010101010101616161616161616161616161616161620202020404040404040404040404040
order1222222244445510101010101010101010101010104444202020202020202044444444888820202020202020204040404040404040404040404040404044444444202020202020202020202020202020204444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1
χ4111111111111111111111111111111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111
χ51111111111111111111111111111111111111111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ91111111111111111111111111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-11111-1-1
χ101111111111111111111111111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-111
χ111111111111111111111111111111-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-111
χ121111111111111111111111111111-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-111-1-1
χ131111111111111111111111111111-1-1-1-111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111
χ141111111111111111111111111111-1-1-1-111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1
χ151111111111111111111111111111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ161111111111111111111111111111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ171-1-111-1-111-11-111-1-1-1-111-1-11111-1-1i−ii−i11-1-111-1-1i−ii−i1-11-11-1i−iii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iii−i−i11-1-111-1-111-1-1ii−i−iii−i−ii−i1-1i−i1-1i−i1-1i−i1-1
χ181-1-111-1-111-11-111-1-1-1-111-1-11111-1-1i−ii−i11-1-111-1-1i−ii−i1-11-11-1i−iii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−i−i−iii-1-11111-1-111-1-1ii−i−iii−i−i−ii-11−ii-11−ii-11−ii-11
χ191-1-111-1-111-11-111-1-1-1-111-1-11111-1-1i−ii−i11-1-111-1-1i−i−ii1-1-11-11−iiii−i−iii−i−i-1-1-1-11111−i−i−i−iiiiiii−i−i11-1-111-1-1-1-111ii−i−i−i−iiii−i1-1i−i-11−ii1-1−ii-11
χ201-1-111-1-111-11-111-1-1-1-111-1-11111-1-1i−ii−i11-1-111-1-1i−i−ii1-1-11-11−iiii−i−iii−i−i-1-1-1-11111−i−i−i−iiiii−i−iii-1-11111-1-1-1-111ii−i−i−i−iii−ii-11−ii1-1i−i-11i−i1-1
χ211-1-111-1-111-11-111-1-1-1-111-1-11111-1-1i−ii−i11-1-111-1-1−iii−i-111-1-11−iiii−i−iii−i−i-1-1-1-11111−i−i−i−iiiiiii−i−i11-1-1-1-11111-1-1−i−iiiii−i−ii−i1-1−ii1-1i−i-11−ii-11
χ221-1-111-1-111-11-111-1-1-1-111-1-11111-1-1i−ii−i11-1-111-1-1−iii−i-111-1-11−iiii−i−iii−i−i-1-1-1-11111−i−i−i−iiiii−i−iii-1-111-1-11111-1-1−i−iiiii−i−i−ii-11i−i-11−ii1-1i−i1-1
χ231-1-111-1-111-11-111-1-1-1-111-1-11111-1-1i−ii−i11-1-111-1-1−ii−ii-11-111-1i−iii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iii−i−i11-1-1-1-111-1-111−i−iii−i−iiii−i1-1−ii-11−ii-11i−i1-1
χ241-1-111-1-111-11-111-1-1-1-111-1-11111-1-1i−ii−i11-1-111-1-1−ii−ii-11-111-1i−iii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−i−i−iii-1-111-1-111-1-111−i−iii−i−iii−ii-11i−i1-1i−i1-1−ii-11
χ251-1-111-1-111-11-111-1-1-1-111-1-11111-1-1−ii−ii11-1-111-1-1i−ii−i-11-111-1−ii−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiiiii−i−i-1-111-1-111-1-111ii−i−iii−i−ii−i-11−ii1-1−ii1-1i−i-11
χ261-1-111-1-111-11-111-1-1-1-111-1-11111-1-1−ii−ii11-1-111-1-1i−ii−i-11-111-1−ii−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−iii11-1-1-1-111-1-111ii−i−iii−i−i−ii1-1i−i-11i−i-11−ii1-1
χ271-1-111-1-111-11-111-1-1-1-111-1-11111-1-1−ii−ii11-1-111-1-1i−i−ii-111-1-11i−i−i−iii−i−iii-1-1-1-11111iiii−i−i−i−iii−i−i-1-111-1-11111-1-1ii−i−i−i−iiii−i-11−ii-11i−i1-1−ii1-1
χ281-1-111-1-111-11-111-1-1-1-111-1-11111-1-1−ii−ii11-1-111-1-1i−i−ii-111-1-11i−i−i−iii−i−iii-1-1-1-11111iiii−i−i−i−i−i−iii11-1-1-1-11111-1-1ii−i−i−i−iii−ii1-1i−i1-1−ii-11i−i-11
χ291-1-111-1-111-11-111-1-1-1-111-1-11111-1-1−ii−ii11-1-111-1-1−iii−i1-1-11-11i−i−i−iii−i−iii-1-1-1-11111iiii−i−i−i−iii−i−i-1-11111-1-1-1-111−i−iiiii−i−ii−i-11i−i1-1−ii-11−ii1-1
χ301-1-111-1-111-11-111-1-1-1-111-1-11111-1-1−ii−ii11-1-111-1-1−iii−i1-1-11-11i−i−i−iii−i−iii-1-1-1-11111iiii−i−i−i−i−i−iii11-1-111-1-1-1-111−i−iiiii−i−i−ii1-1−ii-11i−i1-1i−i-11
χ311-1-111-1-111-11-111-1-1-1-111-1-11111-1-1−ii−ii11-1-111-1-1−ii−ii1-11-11-1−ii−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiiiii−i−i-1-11111-1-111-1-1−i−iii−i−iiii−i-11i−i-11i−i-11i−i-11
χ321-1-111-1-111-11-111-1-1-1-111-1-11111-1-1−ii−ii11-1-111-1-1−ii−ii1-11-11-1−ii−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−iii11-1-111-1-111-1-1−i−iii−i−iii−ii1-1−ii1-1−ii1-1−ii1-1
χ33222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52222222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000000000
χ34222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-222-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200000000−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+520000000000000000
χ35222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-222-2-222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52000000001−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−520000000000000000
χ36222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-2-2-22222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000001−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+520000000000000000
χ37222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222-2-2-2-222-2-21−521+521−521+521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000000001−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000000000
χ38222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-2-2-222-2-2221−521+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+52−1−52−1−52000000001−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+520000000000000000
χ39222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-22222-2-2-2-2221−521+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+52−1−52−1−5200000000−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−520000000000000000
χ40222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2222222-2-21−521+521−521+521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+520000000000000000
χ41222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52222222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000−1−52−1+52−1−52−1+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
χ42222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-222-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−520000000000000000
χ43222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-222-2-222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52000000001+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+520000000000000000
χ44222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2-2-22222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000001+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−520000000000000000
χ45222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222-2-2-2-222-2-21+521−521+521−521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000000001+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000000000
χ46222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-2-2-222-2-2221+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+52000000001+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−520000000000000000
χ47222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-22222-2-2-2-2221+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+5200000000−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+520000000000000000
χ48222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2222222-2-21+521−521+521−521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−520000000000000000
χ4922222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-2-2-2000000000000-2-2-2-2222200000000000000002222-2-2-2-20000000000000000-2-222000000000000
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χ984-44-444-4-4-4-44444-4-4-4-44444-4-4-4-4440000-4-4-4-444440000000000000000000000000000000000000000000000000000000000000000000000000000
χ994-44-444-4-4-4-444−1+5−1−51−51−51+51+5−1+5−1−5−1+5−1−51−51−51+51+5−1+5−1−500001−51+51−51+5−1+5−1−5−1+5−1−5000000000000000000002ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ18000000000000000000000000000000000000000000000000
χ1004-44-444-4-4-4-444−1+5−1−51−51−51+51+5−1+5−1−5−1+5−1−51−51−51+51+5−1+5−1−500001−51+51−51+5−1+5−1−5−1+5−1−500000000000000000000−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ18000000000000000000000000000000000000000000000000
χ1014-44-444-4-4-4-444−1−5−1+51+51+51−51−5−1−5−1+5−1−5−1+51+51+51−51−5−1−5−1+500001+51−51+51−5−1−5−1+5−1−5−1+500000000000000000000−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ14000000000000000000000000000000000000000000000000
χ1024-44-444-4-4-4-444−1−5−1+51+51+51−51−5−1−5−1+5−1−5−1+51+51+51−51−5−1−5−1+500001+51−51+51−5−1−5−1+5−1−5−1+5000000000000000000002ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ14000000000000000000000000000000000000000000000000
χ1034-4-444-4-44-44-44−1+5−1−51−51−51+51+5−1+5−1−51−51+5−1+5−1+5−1−5−1−51−51+54i−4i−4i4i1−51+5−1+5−1−51−51+5−1+5−1−50000000000002ζ11+2ζ192ζ3+2ζ7−2ζ11−2ζ19−2ζ3−2ζ7−2ζ11−2ζ19−2ζ3−2ζ72ζ11+2ζ192ζ3+2ζ700000000000000000000000000000000000000000000000000000000
χ1044-4-444-4-44-44-44−1+5−1−51−51−51+51+5−1+5−1−51−51+5−1+5−1+5−1−5−1−51−51+5−4i4i4i−4i1−51+5−1+5−1−51−51+5−1+5−1−5000000000000−2ζ11−2ζ19−2ζ3−2ζ72ζ11+2ζ192ζ3+2ζ72ζ11+2ζ192ζ3+2ζ7−2ζ11−2ζ19−2ζ3−2ζ700000000000000000000000000000000000000000000000000000000
χ1054-4-444-4-44-44-44−1−5−1+51+51+51−51−5−1−5−1+51+51−5−1−5−1−5−1+5−1+51+51−54i−4i−4i4i1+51−5−1−5−1+51+51−5−1−5−1+50000000000002ζ3+2ζ72ζ11+2ζ19−2ζ3−2ζ7−2ζ11−2ζ19−2ζ3−2ζ7−2ζ11−2ζ192ζ3+2ζ72ζ11+2ζ1900000000000000000000000000000000000000000000000000000000
χ1064-4-444-4-44-44-44−1−5−1+51+51+51−51−5−1−5−1+51+51−5−1−5−1−5−1+5−1+51+51−5−4i4i4i−4i1+51−5−1−5−1+51+51−5−1−5−1+5000000000000−2ζ3−2ζ7−2ζ11−2ζ192ζ3+2ζ72ζ11+2ζ192ζ3+2ζ72ζ11+2ζ19−2ζ3−2ζ7−2ζ11−2ζ1900000000000000000000000000000000000000000000000000000000
χ1074-4-4-4-4444000044-44-44-4-4444-44-4-4-400000000000000000000000000000000000000000000000000004i−4i−4i4i00000000000000000000000000000000
χ1084-4-4-4-4444000044-44-44-4-4444-44-4-4-40000000000000000000000000000000000000000000000000000−4i4i4i−4i00000000000000000000000000000000
χ109888-8-8-8-880000−2+25−2−25−2+252−25−2−252+252−252+252−252+25−2+252−25−2−252+25−2+25−2−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ110888-8-8-8-880000−2−25−2+25−2−252+25−2+252−252+252−252+252−25−2−252+25−2+252−25−2−25−2+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11188-88-88-8-80000−2+25−2−25−2+252−25−2−252+252−252+25−2+25−2−252−25−2+252+25−2−252−252+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-88-88-8-80000−2−25−2+25−2−252+25−2+252−252+252−25−2−25−2+252+25−2−252−25−2+252+252−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-888-8-88-80000−2+25−2−252−25−2+252+25−2−252−252+252−252+252−25−2+252+25−2−25−2+25−2−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-888-8-88-80000−2−25−2+252+25−2−252−25−2+252+252−252+252−252+25−2−252−25−2+25−2−25−2+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-8-8-8-88880000−2+25−2−252−25−2+252+25−2−252−252+25−2+25−2−25−2+252−25−2−252+252−252+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-8-8-88880000−2−25−2+252+25−2−252−25−2+252+252−25−2−25−2+25−2−252+25−2+252−252+252−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.