Finite Group Databasebeta

← Group #12119683

Character table — Group #12119683

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134
size111111112222222222222222222222224444444444444444444444888888888888888888888888888888888888888888888816161616161616162020202020202020202020202020202020202020404040404040
order1222222244444444551010101010101010101010101010222244202020202020202020202020202020204444448888101010101010101020202020202020202020202040404040404040404040404040404040202020202020202022444444444488888888444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1
χ511111111111111111111111111111111-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ611111111111111111111111111111111-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111
χ711111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1
χ811111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111
χ911111111-1-1-1-1111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1
χ1011111111-1-1-1-1111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-11111-1-1-1-111
χ1111111111-1-1-1-1111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-111-1-1
χ1211111111-1-1-1-1111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111-1-111
χ1311111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111
χ1411111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-11111111111-1-1-1-1-1-111-1-1
χ1511111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-111
χ1611111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1
χ1711-1-1-111-1ii−i−i-111-1111111-1-1-1-1-1-111-1-111-1-1i−i11-1-1iiii−i−i−i−i11-1-1i−i1-1i−i1-1i−i1111-1-1-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−iii−i−i11-1-11-1i−i1-1i−iii−i−i11-1-1ii−i−i1-11-1i−i
χ1811-1-1-111-1ii−i−i-111-1111111-1-1-1-1-1-111-1-111-1-1i−i11-1-1iiii−i−i−i−i11-1-1i−i1-1i−i1-1i−i1111-1-1-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−iii−i−i11-1-1-11−ii-11−ii−i−iii-1-111−i−iii-11-11−ii
χ1911-1-1-111-1ii−i−i-111-1111111-1-1-1-1-1-111-1-111-1-1i−i11-1-1iiii−i−i−i−i11-1-1i−i-11−ii-11−ii1111-1-1-1-1ii−i−iiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii−i−iii-1-1111-1i−i1-1i−i−i−iii-1-111−i−iii-111-1i−i
χ2011-1-1-111-1ii−i−i-111-1111111-1-1-1-1-1-111-1-111-1-1i−i11-1-1iiii−i−i−i−i11-1-1i−i-11−ii-11−ii1111-1-1-1-1ii−i−iiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii−i−iii-1-111-11−ii-11−iiii−i−i11-1-1ii−i−i1-1-11−ii
χ2111-1-1-111-1ii−i−i-111-1111111-1-1-1-1-1-111-1-1-1-111i−i11-1-1iiii−i−i−i−i11-1-1−ii1-1i−i-11−ii-1-1-1-11111ii−i−i−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiiiii−i−i11-1-11-1i−i1-1i−iii−i−i-1-111−i−iii1-1-11−ii
χ2211-1-1-111-1ii−i−i-111-1111111-1-1-1-1-1-111-1-1-1-111i−i11-1-1iiii−i−i−i−i11-1-1−ii1-1i−i-11−ii-1-1-1-11111ii−i−i−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiiiii−i−i11-1-1-11−ii-11−ii−i−iii11-1-1ii−i−i-111-1i−i
χ2311-1-1-111-1ii−i−i-111-1111111-1-1-1-1-1-111-1-1-1-111i−i11-1-1iiii−i−i−i−i11-1-1−ii-11−ii1-1i−i-1-1-1-11111ii−i−i−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i−i−iii-1-1111-1i−i1-1i−i−i−iii11-1-1ii−i−i-11-11−ii
χ2411-1-1-111-1ii−i−i-111-1111111-1-1-1-1-1-111-1-1-1-111i−i11-1-1iiii−i−i−i−i11-1-1−ii-11−ii1-1i−i-1-1-1-11111ii−i−i−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i−i−iii-1-111-11−ii-11−iiii−i−i-1-111−i−iii1-11-1i−i
χ2511-1-1-111-1−i−iii-111-1111111-1-1-1-1-1-111-1-111-1-1−ii11-1-1−i−i−i−iiiii11-1-1−ii1-1−ii1-1−ii1111-1-1-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii−i−iii11-1-11-1−ii1-1−ii−i−iii11-1-1−i−iii1-11-1−ii
χ2611-1-1-111-1−i−iii-111-1111111-1-1-1-1-1-111-1-111-1-1−ii11-1-1−i−i−i−iiiii11-1-1−ii1-1−ii1-1−ii1111-1-1-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii−i−iii11-1-1-11i−i-11i−iii−i−i-1-111ii−i−i-11-11i−i
χ2711-1-1-111-1−i−iii-111-1111111-1-1-1-1-1-111-1-111-1-1−ii11-1-1−i−i−i−iiiii11-1-1−ii-11i−i-11i−i1111-1-1-1-1−i−iii−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−iii−i−i-1-1111-1−ii1-1−iiii−i−i-1-111ii−i−i-111-1−ii
χ2811-1-1-111-1−i−iii-111-1111111-1-1-1-1-1-111-1-111-1-1−ii11-1-1−i−i−i−iiiii11-1-1−ii-11i−i-11i−i1111-1-1-1-1−i−iii−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−iii−i−i-1-111-11i−i-11i−i−i−iii11-1-1−i−iii1-1-11i−i
χ2911-1-1-111-1−i−iii-111-1111111-1-1-1-1-1-111-1-1-1-111−ii11-1-1−i−i−i−iiiii11-1-1i−i1-1−ii-11i−i-1-1-1-11111−i−iiiiiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i−i−iii11-1-11-1−ii1-1−ii−i−iii-1-111ii−i−i1-1-11i−i
χ3011-1-1-111-1−i−iii-111-1111111-1-1-1-1-1-111-1-1-1-111−ii11-1-1−i−i−i−iiiii11-1-1i−i1-1−ii-11i−i-1-1-1-11111−i−iiiiiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i−i−iii11-1-1-11i−i-11i−iii−i−i11-1-1−i−iii-111-1−ii
χ3111-1-1-111-1−i−iii-111-1111111-1-1-1-1-1-111-1-1-1-111−ii11-1-1−i−i−i−iiiii11-1-1i−i-11i−i1-1−ii-1-1-1-11111−i−iiiiiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiiiii−i−i-1-1111-1−ii1-1−iiii−i−i11-1-1−i−iii-11-11i−i
χ3211-1-1-111-1−i−iii-111-1111111-1-1-1-1-1-111-1-1-1-111−ii11-1-1−i−i−i−iiiii11-1-1i−i-11i−i1-1−ii-1-1-1-11111−i−iiiiiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiiiii−i−i-1-111-11i−i-11i−i−i−iii-1-111ii−i−i1-11-1−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+52−1−52222222−1+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+52−1−522222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000000000000000000000
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+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−5222-2-2-2-2-2-2-2-2−1+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+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521+521−521+521−521+521−521+5200000000000000000000000000
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+52−1−52-2-2-2-222−1+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+52−1−52-2-22222-2-2-2-21−521−521+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+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000000000000000000000
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+52−1−52-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-222221−521−521+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+5200000000000000000000000000
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+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+522222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000000000000000000000
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+52222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+5222-2-2-2-2-2-2-2-2−1−52−1−52−1+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+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521−521+521−521+521−521+521−5200000000000000000000000000
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+52-2-2-2-222−1−52−1+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+52-2-22222-2-2-2-21+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+521−521−521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000000000000000000000
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+52-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-222221+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+521−5200000000000000000000000000
χ41222222222222-2-2-2-222222222222222220000-2-2-2-2-2-222222222-2-2-2-2000000000000000000-2-2-2-2000000000000000000000000000000002222-2-2-2-2000000000000000000
χ42222222222222-2-2-2-222222222222222220000-2-2-2-2-2-222222222-2-2-2-2000000000000000000-2-2-2-200000000000000000000000000000000-2-2-2-22222000000000000000000
χ4322222222-2-2-2-22222−1+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+52−1−522222-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52-2-222-2-222-2-2−1+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+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+52−1+52−1−52−1+52−1−5200000000000000000000000000
χ4422222222-2-2-2-22222−1+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+52−1−522222-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52-2-2-2-222-2-222−1+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+52−1−52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000000000000000000000000
χ4522222222-2-2-2-22222−1+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+52−1−52-2-2-2-2-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−522222-2-2-2-2221−521−521+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+52−1−52−1−521−521+521−521+52−1+52−1−52−1+52−1−5200000000000000000000000000
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χ1094-444-4-44-4000044-4-4−1+5−1−51−51−51+51+51−51+5−1+5−1−51−51+5−1+5−1−5−1+5−1−54-44-4001−51+5−1+5−1−500000000−1+5−1−51−51+50000000000−1+51−5−1−51+5−1+51−5−1−51+500000000000000000000000000000000000000000000000000000000000000
χ1104-444-4-44-4000044-4-4−1+5−1−51−51−51+51+51−51+5−1+5−1−51−51+5−1+5−1−5−1+5−1−5-44-44001−51+5−1+5−1−500000000−1+5−1−51−51+500000000001−5−1+51+5−1−51−5−1+51+5−1−500000000000000000000000000000000000000000000000000000000000000
χ1114-444-4-44-4000044-4-4−1−5−1+51+51+51−51−51+51−5−1−5−1+51+51−5−1−5−1+5−1−5−1+54-44-4001+51−5−1−5−1+500000000−1−5−1+51+51−50000000000−1−51+5−1+51−5−1−51+5−1+51−500000000000000000000000000000000000000000000000000000000000000
χ1124-444-4-44-4000044-4-4−1−5−1+51+51+51−51−51+51−5−1−5−1+51+51−5−1−5−1+5−1−5−1+5-44-44001+51−5−1−5−1+500000000−1−5−1+51+51−500000000001+5−1−51−5−1+51+5−1−51−5−1+500000000000000000000000000000000000000000000000000000000000000
χ1134-444-4-44-40000-4-44444-4-4-4-4-4-444-4-4444400000044-4-400000000-4-44400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1144-444-4-44-40000-4-444−1+5−1−51−51−51+51+51−51+5−1+5−1−51−51+5−1+5−1−5−1+5−1−5000000−1+5−1−51−51+5000000001−51+5−1+5−1−500000000000000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ3600000000000000000000000000000000000000000000000000
χ1154-444-4-44-40000-4-444−1+5−1−51−51−51+51+51−51+5−1+5−1−51−51+5−1+5−1−5−1+5−1−5000000−1+5−1−51−51+5000000001−51+5−1+5−1−50000000000000000000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ3600000000000000000000000000000000000000000000000000
χ1164-444-4-44-40000-4-444−1−5−1+51+51+51−51−51+51−5−1−5−1+51+51−5−1−5−1+5−1−5−1+5000000−1−5−1+51+51−5000000001+51−5−1−5−1+50000000000000000000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800000000000000000000000000000000000000000000000000
χ1174-444-4-44-40000-4-444−1−5−1+51+51+51−51−51+51−5−1−5−1+51+51−5−1−5−1+5−1−5−1+5000000−1−5−1+51+51−5000000001+51−5−1−5−1+500000000000000000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2800000000000000000000000000000000000000000000000000
χ1184-44-444-4-40000000044-44-444444-4-4-4-4-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000022−2222−220000000000
χ1194-44-444-4-40000000044-44-444444-4-4-4-4-4-40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−2222−22220000000000
χ1204-4-44-44-440000000044-44-44-4-4-4-444-4-444000000000000000000000000000000000000000000000000000000000000000000000000000000000000000022−22−22220000000000
χ1214-4-44-44-440000000044-44-44-4-4-4-444-4-4440000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−222222−220000000000
χ1224-4-4-44-44400004-44-444-4-4-4-444-4-44444-4-4000000444400000000-4-4-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1234-4-4-44-44400004-44-4−1+5−1−51−51−51+51+5−1+5−1−51−51+5−1+5−1−5−1+5−1−51−51+5000000−1+5−1−5−1+5−1−5000000001−51+51−51+50000000000000000000000−2ζ22+2ζ382ζ22−2ζ38−2ζ6+2ζ142ζ6−2ζ142ζ22−2ζ38−2ζ22+2ζ382ζ6−2ζ14−2ζ6+2ζ1400000000000000000000000000000000000000000000000000
χ1244-4-4-44-44400004-44-4−1+5−1−51−51−51+51+5−1+5−1−51−51+5−1+5−1−5−1+5−1−51−51+5000000−1+5−1−5−1+5−1−5000000001−51+51−51+500000000000000000000002ζ22−2ζ38−2ζ22+2ζ382ζ6−2ζ14−2ζ6+2ζ14−2ζ22+2ζ382ζ22−2ζ38−2ζ6+2ζ142ζ6−2ζ1400000000000000000000000000000000000000000000000000
χ1254-4-4-44-44400004-44-4−1−5−1+51+51+51−51−5−1−5−1+51+51−5−1−5−1+5−1−5−1+51+51−5000000−1−5−1+5−1−5−1+5000000001+51−51+51−500000000000000000000002ζ6−2ζ14−2ζ6+2ζ14−2ζ22+2ζ382ζ22−2ζ38−2ζ6+2ζ142ζ6−2ζ142ζ22−2ζ38−2ζ22+2ζ3800000000000000000000000000000000000000000000000000
χ1264-4-4-44-44400004-44-4−1−5−1+51+51+51−51−5−1−5−1+51+51−5−1−5−1+5−1−5−1+51+51−5000000−1−5−1+5−1−5−1+5000000001+51−51+51−50000000000000000000000−2ζ6+2ζ142ζ6−2ζ142ζ22−2ζ38−2ζ22+2ζ382ζ6−2ζ14−2ζ6+2ζ14−2ζ22+2ζ382ζ22−2ζ3800000000000000000000000000000000000000000000000000
χ1274-4-4-44-4440000-44-44−1+5−1−51−51−51+51+5−1+5−1−51−51+5−1+5−1−5−1+5−1−51−51+54-4-44001−51+51−51+500000000−1+5−1−5−1+5−1−50000000000−1+51−5−1−51+51−5−1+51+5−1−500000000000000000000000000000000000000000000000000000000000000
χ1284-4-4-44-4440000-44-44−1+5−1−51−51−51+51+5−1+5−1−51−51+5−1+5−1−5−1+5−1−51−51+5-444-4001−51+51−51+500000000−1+5−1−5−1+5−1−500000000001−5−1+51+5−1−5−1+51−5−1−51+500000000000000000000000000000000000000000000000000000000000000
χ1294-4-4-44-4440000-44-44−1−5−1+51+51+51−51−5−1−5−1+51+51−5−1−5−1+5−1−5−1+51+51−54-4-44001+51−51+51−500000000−1−5−1+5−1−5−1+50000000000−1−51+5−1+51−51+5−1−51−5−1+500000000000000000000000000000000000000000000000000000000000000
χ1304-4-4-44-4440000-44-44−1−5−1+51+51+51−51−5−1−5−1+51+51−5−1−5−1+5−1−5−1+51+51−5-444-4001+51−51+51−500000000−1−5−1+5−1−5−1+500000000001+5−1−51−5−1+5−1−51+5−1+51−500000000000000000000000000000000000000000000000000000000000000
χ1318-88-888-8-800000000−2+25−2−252−25−2+252+25−2−25−2+25−2−25−2+25−2−252−252+252−252+252−252+25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1328-88-888-8-800000000−2−25−2+252+25−2−252−25−2+25−2−25−2+25−2−25−2+252+252−252+252−252+252−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1338-8-88-88-8800000000−2+25−2−252−25−2+252+25−2−252−252+252−252+25−2+25−2−252−252+25−2+25−2−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1348-8-88-88-8800000000−2−25−2+252+25−2−252−25−2+252+252−252+252−25−2−25−2+252+252−25−2−25−2+25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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