Finite Group Databasebeta

← Group #12970449

Character table — Group #12970449

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size1111222222222222224444444444444444888888888888888888888888888888888888888888881616161616161616161616162020202020202020404040404040404040404040
order1222224444551010101010102244101010102020202020202020244444448888101010102020202020202020202020202020202020202020404040404040404010102020202020204040404022224444244444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-11111-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111111
χ51111111111111111111111111111111111-1-1-11111-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1111-1-1-1-1
χ61111111111111111111111111111111111-1-1-11111-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ9111111111111111111-1-1-1-11111111111111-1-111-1-1111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-1111-1-11-1-111-1-1
χ10111111111111111111-1-1-1-11111111111111-1-111-1-1111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-111-111-1-111
χ11111111111111111111-1-1-1-11111111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-111-1-1-111-1-111
χ12111111111111111111-1-1-1-11111111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1111-1-1111-1-111-1-1
χ13111111111111111111-1-1-1-1111111111111-11111-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-11-1-1111-1-1-1-111
χ14111111111111111111-1-1-1-1111111111111-11111-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-111-1-1-11111-1-1
χ15111111111111111111-1-1-1-1111111111111-111-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-111-11111-1-1
χ16111111111111111111-1-1-1-1111111111111-111-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111111-1-11-1-1-1-111
χ171111-1-1-1-111111111111-11-1-1-1-1-1-1-1-1-1111111-11-11-1-11-11-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-11-11-11-11-111-11-1-11-11-11-1
χ181111-1-1-1-111111111111-11-1-1-1-1-1-1-1-1-1111111-11-11-1-11-11-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-11-11-11-11-1-11-111-11-11-11
χ191111-1-1-1-111111111111-11-1-1-1-1-1-1-1-1-1111111-1-11-11-1-11-1111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1111-11-11-11-1-11-11-11-11-11-11
χ201111-1-1-1-111111111111-11-1-1-1-1-1-1-1-1-1111111-1-11-11-1-11-1111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111-11-11-11-111-11-11-11-11-11-1
χ211111-1-1-1-111111111111-11-1-1-1-1-1-1-1-1-11111-1-111-11-11-11-1111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1111-11-11-11-11-11-11-11-1-11-11
χ221111-1-1-1-111111111111-11-1-1-1-1-1-1-1-1-11111-1-111-11-11-11-1111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-11-11-11-11-11-11-11-111-11-1
χ231111-1-1-1-111111111111-11-1-1-1-1-1-1-1-1-11111-1-11-11-1111-11-111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-11-11-11-11-1-1-11-111-111-11-1
χ241111-1-1-1-111111111111-11-1-1-1-1-1-1-1-1-11111-1-11-11-1111-11-111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-11-11-11-1111-11-1-11-1-11-11
χ251111-1-1-1-11111111111-11-11-1-1-1-1-1-1-1-111111-111-1-11-11-1-11-1-111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1111-1-111-1-1111-1-11-1-111-1-11
χ261111-1-1-1-11111111111-11-11-1-1-1-1-1-1-1-111111-111-1-11-11-1-11-1-111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111-111-1-111-1-1-111-111-1-111-1
χ271111-1-1-1-11111111111-11-11-1-1-1-1-1-1-1-111111-11-111-1-1-111-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11-1-111-1-11-11-1-1111-1-111-1
χ281111-1-1-1-11111111111-11-11-1-1-1-1-1-1-1-111111-11-111-1-1-111-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-111-1-111-11-111-1-1-111-1-11
χ291111-1-1-1-11111111111-11-11-1-1-1-1-1-1-1-11111-11-11-1-111-111-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-11-1-111-1-111-111-1-1-11-111-1
χ301111-1-1-1-11111111111-11-11-1-1-1-1-1-1-1-11111-11-11-1-111-111-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-111-1-111-1-11-1-1111-11-1-11
χ311111-1-1-1-11111111111-11-11-1-1-1-1-1-1-1-11111-11-1-111-111-1-11-1-111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111-1-111-1-11-1-111-111-11-1-11
χ321111-1-1-1-11111111111-11-11-1-1-1-1-1-1-1-11111-11-1-111-111-1-11-1-111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-111-1-111-111-1-11-1-11-111-1
χ332222222222−1+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+52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000000000000000
χ342222222222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52222-2-2-2-22-2-2-2-2−1+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+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+5200000000000000000000
χ352222222222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-22222-2-2-2-2-2−1+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+52−1−52−1−52−1+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+5200000000000000000000
χ362222222222−1+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+52−1−52−1−52−1+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+52−1−521−521−521+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+521−521+521−521+52−1+52−1−52−1+52−1−5200000000000000000000
χ372222222222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−522-2-222-2-2222-2-21−521+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+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+5200000000000000000000
χ382222222222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−522-2-2-2-2222-2-2221−521+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+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−5200000000000000000000
χ392222222222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52-22222-2-2-2-2-2221−521+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+521−521−521+521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000000000000000
χ402222222222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52-222-2-222-222-2-21−521+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+52−1−52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+5200000000000000000000
χ412222222222−1−52−1+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+52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000000000000000
χ422222222222−1−52−1+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+52−1−52−1−52−1+52−1+52222-2-2-2-22-2-2-2-2−1−52−1+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+521−521−521+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+521−5200000000000000000000
χ432222222222−1−52−1+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+52−1−52−1−52−1+52−1+52-2-2-22222-2-2-2-2-2−1−52−1+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+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+521−5200000000000000000000
χ442222222222−1−52−1+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+52−1−52−1−52−1+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+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+521−521+521−521+521−52−1−52−1+52−1−52−1+5200000000000000000000
χ452222222222−1−52−1+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+52−1−52−1−52−1+52−1+522-2-222-2-2222-2-21+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+521−521−52−1−52−1−52−1+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+521−5200000000000000000000
χ462222222222−1−52−1+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+52−1−52−1−52−1+52−1+522-2-2-2-2222-2-2221+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+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+5200000000000000000000
χ472222222222−1−52−1+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+52−1−52−1−52−1+52−1+52-22222-2-2-2-2-2221+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+521−521−521+521+521−521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000000000000000
χ482222222222−1−52−1+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+52−1−52−1−52−1+52−1+52-222-2-222-222-2-21+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+521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−5200000000000000000000
χ49222222-2-2-2-2222222222-2-222222-2-2-2-2-2-2-2-200000000000022-2-2-2-222000000000000000000000000000000000000222-2-2-2-22000000000000
χ50222222-2-2-2-2222222222-2-222222-2-2-2-2-2-2-2-200000000000022-2-2-2-222000000000000000000000000000000000000-2-2-22222-2000000000000
χ51222222-2-2-2-222222222-222-22222-2-2-2-2-2-2-2-2000000000000-2-22222-2-200000000000000000000000000000000000022-22-2-22-2000000000000
χ52222222-2-2-2-222222222-222-22222-2-2-2-2-2-2-2-2000000000000-2-22222-2-2000000000000000000000000000000000000-2-22-222-22000000000000
χ532222-2-222-2-22222222222-2-2-2-2-2-22222-2-2-2-20000000000002222-2-2-2-20000000000000000000000000000000000002-222-22-2-2000000000000
χ542222-2-222-2-22222222222-2-2-2-2-2-22222-2-2-2-20000000000002222-2-2-2-2000000000000000000000000000000000000-22-2-22-222000000000000
χ552222-2-222-2-222222222-2-222-2-2-2-22222-2-2-2-2000000000000-2-2-2-222220000000000000000000000000000000000002-2-2-2-2222000000000000
χ562222-2-222-2-222222222-2-222-2-2-2-22222-2-2-2-2000000000000-2-2-2-22222000000000000000000000000000000000000-22222-2-2-2000000000000
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χ652222-2-2-2-222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522-22-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5222-22-22-2-22-22-2−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−5200000000000000000000
χ662222-2-2-2-222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522-22-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5222-2-22-22-2-22-22−1−52−1+521+521−52−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521−52−1−52−1+521+521−521+521−52−1−52−1+5200000000000000000000
χ672222-2-2-2-222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522-22-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52-2-222-22-22-22-22−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+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+521+521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+5200000000000000000000
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χ692222-2-2-2-222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-22-221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+522-222-2-22-22-2-221+521−52−1−52−1+521+521−52−1−52−1+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+521+521−521+521−52−1−52−1+521+521−52−1−52−1+5200000000000000000000
χ702222-2-2-2-222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-22-221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+522-22-222-2-2-222-21+521−52−1−52−1+521+521−52−1−52−1+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+521+521−521+521−52−1−52−1+52−1−52−1+521+521−5200000000000000000000
χ712222-2-2-2-222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-22-221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52-22-22-2-222-222-21+521−52−1−52−1+521+521−52−1−52−1+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+521−521−52−1−52−1−52−1+52−1+521+521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−5200000000000000000000
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χ994-4-44-44-444-4−1−5−1+5−1−51+51+5−1+51−51−500001+5−1−51−5−1+51+5−1−51−5−1+5−1−51+5−1+51−500000000000000000000000000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ380000000000000000000000000000000000000000
χ1004-4-44-44-444-4−1−5−1+5−1−51+51+5−1+51−51−500001+5−1−51−5−1+51+5−1−51−5−1+5−1−51+5−1+51−50000000000000000000000000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ380000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1).