Finite Group Databasebeta

← Group #12120005

Character table — Group #12120005

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134
size111111112222222222222222222222224444444444444444444444888888888888888888888888888888888888888888888816161616161616162020202020202020202020202020202020202020404040404040
order1222222244444444551010101010101010101010101010222244202020202020202020202020202020204444448888101010101010101020202020202020202020202040404040404040404040404040404040202020202020202022444444444488888888224444
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
χ3111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ4111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111
χ511111111111111111111111111111111-1-1-1-111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ611111111111111111111111111111111-1-1-1-111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ711111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1
χ811111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ911111111-1-1-1-1111111111111111111111111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111
χ1011111111-1-1-1-1111111111111111111111111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1
χ1111111111-1-1-1-1111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-11111-1-111-1-1-1-1111111-1-1-1-1
χ1211111111-1-1-1-1111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-1-1-1-11111
χ1311111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111
χ1411111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111111111-1-11111-1-1-1-111-1-1-1-1
χ1511111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1111111-1-1-1-1-1-111-1-1
χ1611111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1111111-1-111
χ17111-1-1-1-11ii−i−i-111-11111-1-1-1-111-1-111-1-111-1-1i−i11-1-1iiii−i−i−i−i11-1-11-1i−ii−i1-1i−i1111-1-1-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i1-1i−iii−i−ii−i1-111-1-1ii−i−i1-1i−i1-1
χ18111-1-1-1-11ii−i−i-111-11111-1-1-1-111-1-111-1-111-1-1i−i11-1-1iiii−i−i−i−i11-1-11-1i−ii−i1-1i−i1111-1-1-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i-11−ii−i−iii−ii-11-1-111−i−iii-11−ii-11
χ19111-1-1-1-11ii−i−i-111-11111-1-1-1-111-1-111-1-111-1-1i−i11-1-1iiii−i−i−i−i11-1-1-11i−i−ii-11−ii1111-1-1-1-1ii−i−iiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii-1-111−i−iii1-1i−i−i−iiii−i1-1-1-111−i−iii1-1i−i-11
χ20111-1-1-1-11ii−i−i-111-11111-1-1-1-111-1-111-1-111-1-1i−i11-1-1iiii−i−i−i−i11-1-1-11i−i−ii-11−ii1111-1-1-1-1ii−i−iiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii-1-111−i−iii-11−iiii−i−i−ii-1111-1-1ii−i−i-11−ii1-1
χ21111-1-1-1-11ii−i−i-111-11111-1-1-1-111-1-111-1-1-1-111i−i11-1-1iiii−i−i−i−i11-1-11-1−iii−i-11−ii-1-1-1-11111ii−i−i−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii11-1-1ii−i−i1-1i−iii−i−ii−i1-1-1-111−i−iii-11−ii1-1
χ22111-1-1-1-11ii−i−i-111-11111-1-1-1-111-1-111-1-1-1-111i−i11-1-1iiii−i−i−i−i11-1-11-1−iii−i-11−ii-1-1-1-11111ii−i−i−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii11-1-1ii−i−i-11−ii−i−iii−ii-1111-1-1ii−i−i1-1i−i-11
χ23111-1-1-1-11ii−i−i-111-11111-1-1-1-111-1-111-1-1-1-111i−i11-1-1iiii−i−i−i−i11-1-1-11−ii−ii1-1i−i-1-1-1-11111ii−i−i−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i-1-111−i−iii1-1i−i−i−iiii−i1-111-1-1ii−i−i-11−ii-11
χ24111-1-1-1-11ii−i−i-111-11111-1-1-1-111-1-111-1-1-1-111i−i11-1-1iiii−i−i−i−i11-1-1-11−ii−ii1-1i−i-1-1-1-11111ii−i−i−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i-1-111−i−iii-11−iiii−i−i−ii-11-1-111−i−iii1-1i−i1-1
χ25111-1-1-1-11−i−iii-111-11111-1-1-1-111-1-111-1-111-1-1−ii11-1-1−i−i−i−iiiii11-1-11-1−ii−ii1-1−ii1111-1-1-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii1-1−ii−i−iii−ii1-111-1-1−i−iii1-1−ii1-1
χ26111-1-1-1-11−i−iii-111-11111-1-1-1-111-1-111-1-111-1-1−ii11-1-1−i−i−i−iiiii11-1-11-1−ii−ii1-1−ii1111-1-1-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii-11i−iii−i−ii−i-11-1-111ii−i−i-11i−i-11
χ27111-1-1-1-11−i−iii-111-11111-1-1-1-111-1-111-1-111-1-1−ii11-1-1−i−i−i−iiiii11-1-1-11−iii−i-11i−i1111-1-1-1-1−i−iii−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i-1-111ii−i−i1-1−iiii−i−i−ii1-1-1-111ii−i−i1-1−ii-11
χ28111-1-1-1-11−i−iii-111-11111-1-1-1-111-1-111-1-111-1-1−ii11-1-1−i−i−i−iiiii11-1-1-11−iii−i-11i−i1111-1-1-1-1−i−iii−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i-1-111ii−i−i-11i−i−i−iiii−i-1111-1-1−i−iii-11i−i1-1
χ29111-1-1-1-11−i−iii-111-11111-1-1-1-111-1-111-1-1-1-111−ii11-1-1−i−i−i−iiiii11-1-11-1i−i−ii-11i−i-1-1-1-11111−i−iiiiiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i11-1-1−i−iii1-1−ii−i−iii−ii1-1-1-111ii−i−i-11i−i1-1
χ30111-1-1-1-11−i−iii-111-11111-1-1-1-111-1-111-1-1-1-111−ii11-1-1−i−i−i−iiiii11-1-11-1i−i−ii-11i−i-1-1-1-11111−i−iiiiiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i11-1-1−i−iii-11i−iii−i−ii−i-1111-1-1−i−iii1-1−ii-11
χ31111-1-1-1-11−i−iii-111-11111-1-1-1-111-1-111-1-1-1-111−ii11-1-1−i−i−i−iiiii11-1-1-11i−ii−i1-1−ii-1-1-1-11111−i−iiiiiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii-1-111ii−i−i1-1−iiii−i−i−ii1-111-1-1−i−iii-11i−i-11
χ32111-1-1-1-11−i−iii-111-11111-1-1-1-111-1-111-1-1-1-111−ii11-1-1−i−i−i−iiiii11-1-1-11i−ii−i1-1−ii-1-1-1-11111−i−iiiiiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii-1-111ii−i−i-11i−i−i−iiii−i-11-1-111ii−i−i1-1−ii1-1
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+52−1−52-2-222-2-2-2-2-2-2−1+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+52−1−5222-2-222-2-2-2-21−521−521+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+52-2-222-2-2-2-2-2-2−1−52−1−52−1+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+5222-2-222-2-2-2-21+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
χ41222222222222-2-2-2-222222222222222220000-2-2-2-2-2-222222222-2-2-2-2000000000000000000-2-2-2-20000000000000000000000000000000022-2-2000022-2-200000000000000
χ42222222222222-2-2-2-222222222222222220000-2-2-2-2-2-222222222-2-2-2-2000000000000000000-2-2-2-200000000000000000000000000000000-2-2220000-2-22200000000000000
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+52−1−5222-2-2-2-222-2-2−1+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+52−1+52−1−52−1+52−1−521−521+521−521+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+52−1−52−1−521−521+521−521+52−1+52−1−52−1+52−1−5200000000000000000000000000
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+52−1−52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000000000000000000000000
χ4622222222-2-2-2-22222−1+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+52−1−52-2-2222222-2-21−521−521+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+52−1−52−1−521−521−521+521+521−521−521+521+521−521+521−521+52−1+52−1−52−1+52−1−5200000000000000000000000000
χ4722222222-2-2-2-22222−1−52−1+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+5222-2-2-2-222-2-2−1−52−1−52−1+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+521−521−52−1−52−1+52−1−52−1+521+521−521+521−5200000000000000000000000000
χ4822222222-2-2-2-22222−1−52−1+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+521+521−521+521−52−1−52−1+52−1−52−1+5200000000000000000000000000
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χ60222-2-2-2-222i2i−2i−2i-222-2−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+521+521−52−1−52−1+521+521−5222-2-22i−2i−1−52−1+521+521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−1−52−1+521+521−52-222i−2i−2i2i-22−2i2i−1−52−1−52−1+52−1+521+521+521−521−52−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ381+521+521−521−52−1−52−1−52−1+52−1+52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ381+521−52−1−52−1+52ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ3800000000000000000000000000
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χ64222-2-2-2-22−2i−2i2i2i2-2-222222-2-2-2-222-2-222-2-200002i−2i-2-222−2i−2i−2i−2i2i2i2i2i-2-2220000000000000000002i2i−2i−2i00000000000000000000000000000000-22−2i2i00002i−2i2-200000000000000
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χ1124-44-444-4-4−4i4i4i−4i0000−1−5−1+51+51−5−1−51+5−1+51−51+51−5−1−5−1+5−1−5−1+51+51−500000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ380000000000000000000000000000000000ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ370000000000000000000000000000000000
χ1134-4-44-44-44000044-4-444-4-4-4-4-4-44444-4-444000000-4-4440000000044-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1144-4-44-44-44000044-4-4−1+5−1−51−51+51−51−51+51+5−1+5−1−5−1+5−1−51−51+5−1+5−1−50000001−51+5−1+5−1−500000000−1+5−1−51−51+500000000000000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ3600000000000000000000000000000000000000000000000000
χ1154-4-44-44-44000044-4-4−1+5−1−51−51+51−51−51+51+5−1+5−1−5−1+5−1−51−51+5−1+5−1−50000001−51+5−1+5−1−500000000−1+5−1−51−51+50000000000000000000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ3600000000000000000000000000000000000000000000000000
χ1164-4-44-44-44000044-4-4−1−5−1+51+51−51+51+51−51−5−1−5−1+5−1−5−1+51+51−5−1−5−1+50000001+51−5−1−5−1+500000000−1−5−1+51+51−50000000000000000000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800000000000000000000000000000000000000000000000000
χ1174-4-44-44-44000044-4-4−1−5−1+51+51−51+51+51−51−5−1−5−1+5−1−5−1+51+51−5−1−5−1+50000001+51−5−1−5−1+500000000−1−5−1+51+51−500000000000000000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2800000000000000000000000000000000000000000000000000
χ1184-4-44-44-440000-4-444−1+5−1−51−51+51−51−51+51+5−1+5−1−5−1+5−1−51−51+5−1+5−1−54-44-400−1+5−1−51−51+5000000001−51+5−1+5−1−50000000000−1+51−5−1−51+5−1+51−5−1−51+500000000000000000000000000000000000000000000000000000000000000
χ1194-4-44-44-440000-4-444−1+5−1−51−51+51−51−51+51+5−1+5−1−5−1+5−1−51−51+5−1+5−1−5-44-4400−1+5−1−51−51+5000000001−51+5−1+5−1−500000000001−5−1+51+5−1−51−5−1+51+5−1−500000000000000000000000000000000000000000000000000000000000000
χ1204-4-44-44-440000-4-444−1−5−1+51+51−51+51+51−51−5−1−5−1+5−1−5−1+51+51−5−1−5−1+54-44-400−1−5−1+51+51−5000000001+51−5−1−5−1+50000000000−1−51+5−1+51−5−1−51+5−1+51−500000000000000000000000000000000000000000000000000000000000000
χ1214-4-44-44-440000-4-444−1−5−1+51+51−51+51+51−51−5−1−5−1+5−1−5−1+51+51−5−1−5−1+5-44-4400−1−5−1+51+51−5000000001+51−5−1−5−1+500000000001+5−1−51−5−1+51+5−1−51−5−1+500000000000000000000000000000000000000000000000000000000000000
χ1224-4-4-44-44400004-44-4−1+5−1−51−51+5−1+5−1+5−1−5−1−5−1+5−1−51−51+51−51+51−51+54-4-4400−1+5−1−5−1+5−1−5000000001−51+51−51+50000000000−1+51−5−1−51+51−5−1+51+5−1−500000000000000000000000000000000000000000000000000000000000000
χ1234-4-4-44-44400004-44-4−1+5−1−51−51+5−1+5−1+5−1−5−1−5−1+5−1−51−51+51−51+51−51+5-444-400−1+5−1−5−1+5−1−5000000001−51+51−51+500000000001−5−1+51+5−1−5−1+51−5−1−51+500000000000000000000000000000000000000000000000000000000000000
χ1244-4-4-44-44400004-44-4−1−5−1+51+51−5−1−5−1−5−1+5−1+5−1−5−1+51+51−51+51−51+51−54-4-4400−1−5−1+5−1−5−1+5000000001+51−51+51−50000000000−1−51+5−1+51−51+5−1−51−5−1+500000000000000000000000000000000000000000000000000000000000000
χ1254-4-4-44-44400004-44-4−1−5−1+51+51−5−1−5−1−5−1+5−1+5−1−5−1+51+51−51+51−51+51−5-444-400−1−5−1+5−1−5−1+5000000001+51−51+51−500000000001+5−1−51−5−1+5−1−51+5−1+51−500000000000000000000000000000000000000000000000000000000000000
χ1264-4-4-44-4440000-44-4444-4-4444444-4-4-4-4-4-4000000-4-4-4-400000000444400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1274-4-4-44-4440000-44-44−1+5−1−51−51+5−1+5−1+5−1−5−1−5−1+5−1−51−51+51−51+51−51+50000001−51+51−51+500000000−1+5−1−5−1+5−1−50000000000000000000000−2ζ22+2ζ382ζ22−2ζ38−2ζ6+2ζ142ζ6−2ζ142ζ22−2ζ38−2ζ22+2ζ382ζ6−2ζ14−2ζ6+2ζ1400000000000000000000000000000000000000000000000000
χ1284-4-4-44-4440000-44-44−1+5−1−51−51+5−1+5−1+5−1−5−1−5−1+5−1−51−51+51−51+51−51+50000001−51+51−51+500000000−1+5−1−5−1+5−1−500000000000000000000002ζ22−2ζ38−2ζ22+2ζ382ζ6−2ζ14−2ζ6+2ζ14−2ζ22+2ζ382ζ22−2ζ38−2ζ6+2ζ142ζ6−2ζ1400000000000000000000000000000000000000000000000000
χ1294-4-4-44-4440000-44-44−1−5−1+51+51−5−1−5−1−5−1+5−1+5−1−5−1+51+51−51+51−51+51−50000001+51−51+51−500000000−1−5−1+5−1−5−1+500000000000000000000002ζ6−2ζ14−2ζ6+2ζ14−2ζ22+2ζ382ζ22−2ζ38−2ζ6+2ζ142ζ6−2ζ142ζ22−2ζ38−2ζ22+2ζ3800000000000000000000000000000000000000000000000000
χ1304-4-4-44-4440000-44-44−1−5−1+51+51−5−1−5−1−5−1+5−1+5−1−5−1+51+51−51+51−51+51−50000001+51−51+51−500000000−1−5−1+5−1−5−1+50000000000000000000000−2ζ6+2ζ142ζ6−2ζ142ζ22−2ζ38−2ζ22+2ζ382ζ6−2ζ14−2ζ6+2ζ14−2ζ22+2ζ382ζ22−2ζ3800000000000000000000000000000000000000000000000000
χ13188-888-8-8-800000000−2+25−2−25−2+25−2−25−2+252−25−2−252+252−252+252−252+252−252+25−2+25−2−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13288-888-8-8-800000000−2−25−2+25−2−25−2+25−2−252+25−2+252−252+252−252+252−252+252−25−2−25−2+25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13388-8-8-888-800000000−2+25−2−25−2+25−2−252−25−2+252+25−2−252−252+25−2+25−2−252−252+252−252+25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13488-8-8-888-800000000−2−25−2+25−2−25−2+252+25−2−252−25−2+252+252−25−2−25−2+252+252−252+252−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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