Finite Group Databasebeta

← Group #12121597

Character table — Group #12121597

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146
size11111111222222222222222222222222444444444444444444444444444444888888888888888888888888888888888888888888101010101010101010101010101010101616161616161616202020202020202020202020404040404040
order1222222244444444551010101010101010101010101010444444888888882020202020202020202020202020202044444420202020202020202020202020202020202020204040404040404040404040404040404044444444888888882020202020202020444444448888224444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1
χ51111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1
χ61111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111-1-1
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-111
χ911111111-1-1-1-111111111111111111111-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-11111
χ1011111111-1-1-1-111111111111111111111-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1
χ1111111111-1-1-1-111111111111111111111-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111
χ1211111111-1-1-1-111111111111111111111-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1
χ1311111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1
χ1411111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ1511111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1
χ1611111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-111
χ171-11-11-1-1111-1-111-1-111-1-1111111-1-1-1-1-1-11-1ii−i−i11-1-111-1-111-1-1-1-11111-1-1-1-111i−ii−ii−i11-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iii−i−iii−i−ii−ii−i11-1-1ii−i−i1-11-11-1
χ181-11-11-1-1111-1-111-1-111-1-1111111-1-1-1-1-1-11-1ii−i−i11-1-111-1-111-1-1-1-11111-1-1-1-111i−ii−ii−i11-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−i−i−iiiiiii−i−iii−i−i−ii−ii-1-111−i−iii-11-11-11
χ191-11-11-1-1111-1-111-1-111-1-1111111-1-1-1-1-1-11-1ii−i−i-1-111-1-11111-1-1-1-11111-1-1-1-111i−i−ii−ii11-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111ii−i−iii−i−i−i−i−i−iiiii−i−iii−i−iiii−ii−i-1-111−i−iii1-1-111-1
χ201-11-11-1-1111-1-111-1-111-1-1111111-1-1-1-1-1-11-1ii−i−i-1-111-1-11111-1-1-1-11111-1-1-1-111i−i−ii−ii11-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111−i−iii−i−iiiiiii−i−i−i−i−i−iii−i−iii−ii−ii11-1-1ii−i−i-111-1-11
χ211-11-11-1-1111-1-111-1-111-1-1111111-1-1-1-1-1-11-1−i−iii11-1-111-1-111-1-1-1-11111-1-1-1-111−ii−ii−ii11-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i−i−iii−i−iiii−ii−i-1-111ii−i−i-11-11-11
χ221-11-11-1-1111-1-111-1-111-1-1111111-1-1-1-1-1-11-1−i−iii11-1-111-1-111-1-1-1-11111-1-1-1-111−ii−ii−ii11-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−iii−i−iii−ii−ii11-1-1−i−iii1-11-11-1
χ231-11-11-1-1111-1-111-1-111-1-1111111-1-1-1-1-1-11-1−i−iii-1-111-1-11111-1-1-1-11111-1-1-1-111−iii−ii−i11-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111ii−i−iii−i−i−i−i−i−iiiiiii−i−iii−i−ii−ii−i11-1-1−i−iii-111-1-11
χ241-11-11-1-1111-1-111-1-111-1-1111111-1-1-1-1-1-11-1−i−iii-1-111-1-11111-1-1-1-11111-1-1-1-111−iii−ii−i11-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111−i−iii−i−iiiiiii−i−i−i−iii−i−iii−i−i−ii−ii-1-111ii−i−i1-1-111-1
χ251-11-11-1-11-1-11111-1-111-1-1111111-1-1-1-1-1-1-11ii−i−i11-1-1-1-11111-1-1-1-1-1-1-1-1111111−iii−i−ii-1-111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111ii−i−i−i−iii−i−i−i−iiiiiii−i−i−i−iii−iii−i-1-111ii−i−i-111-11-1
χ261-11-11-1-11-1-11111-1-111-1-1111111-1-1-1-1-1-1-11ii−i−i11-1-1-1-11111-1-1-1-1-1-1-1-1111111−iii−i−ii-1-111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111−i−iiiii−i−iiiii−i−i−i−iii−i−i−i−iiii−i−ii11-1-1−i−iii1-1-11-11
χ271-11-11-1-11-1-11111-1-111-1-1111111-1-1-1-1-1-1-11ii−i−i-1-11111-1-111-1-1-1-1-1-1-1-1111111−ii−iii−i-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1ii−i−i−i−iiiiiii−i−i−i−i−i−iiiii−i−i−iii−i11-1-1−i−iii-11-111-1
χ281-11-11-1-11-1-11111-1-111-1-1111111-1-1-1-1-1-1-11ii−i−i-1-11111-1-111-1-1-1-1-1-1-1-1111111−ii−iii−i-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1−i−iiiii−i−i−i−i−i−iiiii−i−iiiii−i−ii−i−ii-1-111ii−i−i1-11-1-11
χ291-11-11-1-11-1-11111-1-111-1-1111111-1-1-1-1-1-1-11−i−iii11-1-1-1-11111-1-1-1-1-1-1-1-1111111i−i−iii−i-1-111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111ii−i−i−i−iii−i−i−i−iiiii−i−iiiii−i−i−iii−i11-1-1ii−i−i1-1-11-11
χ301-11-11-1-11-1-11111-1-111-1-1111111-1-1-1-1-1-1-11−i−iii11-1-1-1-11111-1-1-1-1-1-1-1-1111111i−i−iii−i-1-111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111−i−iiiii−i−iiiii−i−i−i−i−i−iiiii−i−ii−i−ii-1-111−i−iii-111-11-1
χ311-11-11-1-11-1-11111-1-111-1-1111111-1-1-1-1-1-1-11−i−iii-1-11111-1-111-1-1-1-1-1-1-1-1111111i−ii−i−ii-1-111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1ii−i−i−i−iiiiiii−i−i−i−iii−i−i−i−iii−iii−i-1-111−i−iii1-11-1-11
χ321-11-11-1-11-1-11111-1-111-1-1111111-1-1-1-1-1-1-11−i−iii-1-11111-1-111-1-1-1-1-1-1-1-1111111i−ii−i−ii-1-111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1−i−iiiii−i−i−i−i−i−iiiiiii−i−i−i−iiii−i−ii11-1-1ii−i−i-11-111-1
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+52−1−5222222222222222−1+52−1−52−1+52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000
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+52−1−52222222-2-2-2-2-2-2-2-2−1+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+52−1−5222-2-2-2-2−1+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+5200000000000000001−521+521−521+521−521+521−521+52000000000000000000
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+52−1−5222-2-2-2-222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+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+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+52−1−52−1−5200000000000000001−521+521−521+521−521+521−521+52000000000000000000
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+52−1−5222-2-2-2-2-2-2-2-2-2-2-2-2−1+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+52−1−52-2-22222−1+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+520000000000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000
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+5222222222222222−1−52−1+52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000
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+52222222-2-2-2-2-2-2-2-2−1−52−1+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+5222-2-2-2-2−1−52−1+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+521−521−5200000000000000001+521−521+521−521+521−521+521−52000000000000000000
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+5222-2-2-2-222222222−1−52−1+52−1−52−1−52−1+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+521−521−521+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+5200000000000000001+521−521+521−521+521−521+521−52000000000000000000
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+5222-2-2-2-2-2-2-2-2-2-2-2-2−1−52−1+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+52-2-22222−1−52−1+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+521−521−520000000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000
χ41222222222222-2-2-2-22222222222222222-2-2000000000000-2-2-2-2-2-222222222-2-2000000-2-2-2-200000000000000000000000000000000222222220000000000000000-2-2-2-200000000000000
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χ11844-4-44-44-4−4i4i−4i4i0000−1−5−1+5−1−5−1+51+5−1−51+51−5−1+51−51+51+51−51−5−1−5−1+50000002i2−2i22i2−2i2−2222−22220000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ380000000000000000000000000000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37000000000000000000000000000000000000000000
χ11944-4-44-44-4−4i4i−4i4i0000−1−5−1+5−1−5−1+51+5−1−51+51−5−1+51−51+51+51−51−5−1−5−1+5000000−2i22i2−2i22i222−2222−220000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ380000000000000000000000000000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37000000000000000000000000000000000000000000
χ1204-444-4-44-40000000044-4-4-4-44-4-444-44-444000000000000000000000000000000000000000000000000000000000000000000000000000000002i2−2i2−2i22i2−2i22i22i2−2i200000000000000000000000000
χ1214-444-4-44-40000000044-4-4-4-44-4-444-44-44400000000000000000000000000000000000000000000000000000000000000000000000000000000−2i22i22i2−2i22i2−2i2−2i22i200000000000000000000000000
χ1224-44-44-4-4444-4-4-4-444−1+5−1−51−51+5−1+5−1+5−1+5−1−5−1−5−1−51−51−51+51+51−51+5-440000000000001−51+5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−51−51−51+51+51−51+50000001−51+5−1+5−1−500000000000000000000000000000000000000000000000000000000000000000000000000
χ1234-44-44-4-4444-4-4-4-444−1−5−1+51+51−5−1−5−1−5−1−5−1+5−1+5−1+51+51+51−51−51+51−5-440000000000001+51−5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+51+51+51−51−51+51−50000001+51−5−1−5−1+500000000000000000000000000000000000000000000000000000000000000000000000000
χ1244-44-44-4-44-4-444-4-444−1+5−1−51−51+5−1+5−1+5−1+5−1−5−1−5−1−51−51−51+51+51−51+54-40000000000001−51+5−1+5−1+5−1−5−1−51−51−51+51+5−1+5−1+5−1−5−1−51−51+5000000−1+5−1−51−51+500000000000000000000000000000000000000000000000000000000000000000000000000
χ1254-44-44-4-44-4-444-4-444−1−5−1+51+51−5−1−5−1−5−1−5−1+5−1+5−1+51+51+51−51−51+51−54-40000000000001+51−5−1−5−1−5−1+5−1+51+51+51−51−5−1−5−1−5−1+5−1+51+51−5000000−1−5−1+51+51−500000000000000000000000000000000000000000000000000000000000000000000000000
χ1264-4-4444-4-44i−4i−4i4i0000−1+5−1−51−51+51−5−1+51−51+5−1−51+5−1+5−1+5−1−5−1−51−51+50000002i2−2i2−2i22i222−22−2222000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ140000000000000000000000000000ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ7−ζ13−ζ23−ζ37ζ7+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+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39000000000000000000000000000000000000000000
χ1274-4-4444-4-44i−4i−4i4i0000−1+5−1−51−51+51−5−1+51−51+5−1−51+5−1+5−1+5−1−5−1−51−51+5000000−2i22i22i2−2i2−222222−22000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ140000000000000000000000000000−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−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+ζ39000000000000000000000000000000000000000000
χ1284-4-4444-4-44i−4i−4i4i0000−1−5−1+51+51−51+5−1−51+51−5−1+51−5−1−5−1−5−1+5−1+51+51−50000002i2−2i2−2i22i222−22−2222000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ380000000000000000000000000000ζ21+ζ29+ζ31+ζ39−ζ21−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+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37000000000000000000000000000000000000000000
χ1294-4-4444-4-44i−4i−4i4i0000−1−5−1+51+51−51+5−1−51+51−5−1+51−5−1−5−1−5−1+5−1+51+51−5000000−2i22i22i2−2i2−222222−22000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ380000000000000000000000000000−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−ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37000000000000000000000000000000000000000000
χ1304-4-4444-4-4−4i4i4i−4i0000−1+5−1−51−51+51−5−1+51−51+5−1−51+5−1+5−1+5−1−5−1−51−51+50000002i2−2i2−2i22i2−222222−220000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ140000000000000000000000000000ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21+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+ζ39000000000000000000000000000000000000000000
χ1314-4-4444-4-4−4i4i4i−4i0000−1+5−1−51−51+51−5−1+51−51+5−1−51+5−1+5−1+5−1−5−1−51−51+5000000−2i22i22i2−2i222−22−22220000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ140000000000000000000000000000−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39000000000000000000000000000000000000000000
χ1324-4-4444-4-4−4i4i4i−4i0000−1−5−1+51+51−51+5−1−51+51−5−1+51−5−1−5−1−5−1+5−1+51+51−50000002i2−2i2−2i22i2−222222−220000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ380000000000000000000000000000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37000000000000000000000000000000000000000000
χ1334-4-4444-4-4−4i4i4i−4i0000−1−5−1+51+51−51+5−1−51+51−5−1+51−5−1−5−1−5−1+5−1+51+51−5000000−2i22i22i2−2i222−22−22220000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ380000000000000000000000000000−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−ζ37ζ21+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+ζ37000000000000000000000000000000000000000000
χ1344-4-4-4-444400004-44-444-4-44-4-44-4-4-44-444400000000000000444-44-400000000-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1354-4-4-4-444400004-44-4−1+5−1−51−51+5−1+51−51−5−1−51+51+51−5−1+51+5−1−5−1+5−1−500000000000000−1+5−1−5−1+51−5−1−51+5000000001−51+50000000000−2ζ22+2ζ382ζ22−2ζ38−2ζ6+2ζ142ζ6−2ζ142ζ22−2ζ38−2ζ22+2ζ382ζ6−2ζ14−2ζ6+2ζ14000000000000000000000000000000000000000000000000000000000000000000
χ1364-4-4-4-444400004-44-4−1+5−1−51−51+5−1+51−51−5−1−51+51+51−5−1+51+5−1−5−1+5−1−500000000000000−1+5−1−5−1+51−5−1−51+5000000001−51+500000000002ζ22−2ζ38−2ζ22+2ζ382ζ6−2ζ14−2ζ6+2ζ14−2ζ22+2ζ382ζ22−2ζ38−2ζ6+2ζ142ζ6−2ζ14000000000000000000000000000000000000000000000000000000000000000000
χ1374-4-4-4-444400004-44-4−1−5−1+51+51−5−1−51+51+5−1+51−51−51+5−1−51−5−1+5−1−5−1+500000000000000−1−5−1+5−1−51+5−1+51−5000000001+51−500000000002ζ6−2ζ14−2ζ6+2ζ14−2ζ22+2ζ382ζ22−2ζ38−2ζ6+2ζ142ζ6−2ζ142ζ22−2ζ38−2ζ22+2ζ38000000000000000000000000000000000000000000000000000000000000000000
χ1384-4-4-4-444400004-44-4−1−5−1+51+51−5−1−51+51+5−1+51−51−51+5−1−51−5−1+5−1−5−1+500000000000000−1−5−1+5−1−51+5−1+51−5000000001+51−50000000000−2ζ6+2ζ142ζ6−2ζ142ζ22−2ζ38−2ζ22+2ζ382ζ6−2ζ14−2ζ6+2ζ14−2ζ22+2ζ382ζ22−2ζ38000000000000000000000000000000000000000000000000000000000000000000
χ1394-4-4-4-44440000-44-44−1+5−1−51−51+5−1+51−51−5−1−51+51+51−5−1+51+5−1−5−1+5−1−5004-4-44000000001−51+51−5−1+51+5−1−500000000−1+5−1−5000000000000000000−1+51−5−1−51+51−5−1+51+5−1−50000000000000000000000000000000000000000000000000000000000
χ1404-4-4-4-44440000-44-44−1+5−1−51−51+5−1+51−51−5−1−51+51+51−5−1+51+5−1−5−1+5−1−500-444-4000000001−51+51−5−1+51+5−1−500000000−1+5−1−50000000000000000001−5−1+51+5−1−5−1+51−5−1−51+50000000000000000000000000000000000000000000000000000000000
χ1414-4-4-4-44440000-44-44−1−5−1+51+51−5−1−51+51+5−1+51−51−51+5−1−51−5−1+5−1−5−1+5004-4-44000000001+51−51+5−1−51−5−1+500000000−1−5−1+5000000000000000000−1−51+5−1+51−51+5−1−51−5−1+50000000000000000000000000000000000000000000000000000000000
χ1424-4-4-4-44440000-44-44−1−5−1+51+51−5−1−51+51+5−1+51−51−51+5−1−51−5−1+5−1−5−1+500-444-4000000001+51−51+5−1−51−5−1+500000000−1−5−1+50000000000000000001+5−1−51−5−1+5−1−51+5−1+51−50000000000000000000000000000000000000000000000000000000000
χ143888-8-88-8-800000000−2+25−2−25−2+25−2−252−252−25−2+252+252+25−2−252−25−2+252+25−2−252−252+25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ144888-8-88-8-800000000−2−25−2+25−2−25−2+252+252+25−2−252−252−25−2+252+25−2−252−25−2+252+252−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1458-888-8-88-800000000−2+25−2−252−252+252−252−25−2+252+252+25−2−25−2+252−25−2−252+25−2+25−2−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1468-888-8-88-800000000−2−25−2+252+252−252+252+25−2−252−252−25−2+25−2−252+25−2+252−25−2−25−2+25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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