Finite Group Databasebeta

← Group #12137321

Character table — Group #12137321

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size111111112222222222222222222244444444448888888888888888888888888888888888816161616161616161616161616161616162020202020202020202040404040404040404080
order1222222244445510101010101010101010101010104420202020202020202244444888820202020202020204040404040404040404040404040404041010101020202020202020202020202022444444442444488882
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111111-1-111-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111
χ511111111111111111111111111111111111111-1-1111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111111111-1-1-1-1111-1-1-1-1-1-11
χ611111111111111111111111111111111111111-1-1111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1111111-1
χ711111111111111111111111111111111111111-1-1-1-11-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1-1-11111-1
χ811111111111111111111111111111111111111-1-1-1-11-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1-1-11
χ91111111111111111111111111111-1-1111111111111-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-1
χ101111111111111111111111111111-1-1111111111111-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1111
χ111111111111111111111111111111-1-11111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1111
χ121111111111111111111111111111-1-11111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111-1-111-1-1-1
χ131111111111111111111111111111-1-111111111-1-111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111111111-1-1-1-11111-1-11111-111-1-1-1-111-1
χ141111111111111111111111111111-1-111111111-1-111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11-1-11111-1-11
χ151111111111111111111111111111-1-111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-111-1-11
χ161111111111111111111111111111-1-111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111111-1-111-1
χ17222222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000
χ18222222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-2222-2-2-2-2−1+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+52-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000000
χ19222222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2222-2-2-2-2-2-2−1+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+5221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000
χ20222222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-22-2-22222−1+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+52−1−52−1−52−1−52−1−52-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200000000000000000000
χ21222222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222-2-2-222-2-21−521−521+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+52-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200000000000000000000
χ22222222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-2-2-2-2-2-2221−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000
χ23222222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-222-222-2-2221−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000000
χ24222222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-22222-2-21−521−521+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+5221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000
χ25222222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522−1−52−1−52−1+52−1+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
χ26222222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-2222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000
χ27222222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2222-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000000
χ28222222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-22-2-22222−1−52−1−52−1+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+52-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000000000000000
χ29222222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222-2-2-222-2-21+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+521−521−521−521−52-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000000000000000000
χ30222222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-2-2-2-2-2-2221+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+522−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000000
χ31222222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-222-222-2-2221+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+52-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000
χ32222222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-22222-2-21+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+521−521−521−521−5221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000
χ3322222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-20000-2000000-2-2-2-2222200000000000000000000000000000000022-2-2220000-2000000000
χ3422222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-20000-2000000-2-2-2-22222000000000000000000000000000000000-2-222-2-200002000000000
χ3522222222-2-2-2-22222222222222222-2-2-2-2-2-2-2-2-2-2000020000002222-2-2-2-200000000000000000000000000000000022-2-2-2-200002000000000
χ3622222222-2-2-2-22222222222222222-2-2-2-2-2-2-2-2-2-2000020000002222-2-2-2-2000000000000000000000000000000000-2-222220000-2000000000
χ37222-2-2-2-2222-2-22222-222-2-2-2-2-22-22-2002-22-22-22-20000000002i−2i00000000000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000022-2-202i−2i0000000
χ38222-2-2-2-2222-2-22222-222-2-2-2-2-22-22-2002-22-22-22-20000000002i−2i00000000000000002i2i−2i−2i2i2i−2i−2i00000000000000000000000-2-2220−2i2i0000000
χ39222-2-2-2-2222-2-22222-222-2-2-2-2-22-22-2002-22-22-22-2000000000−2i2i0000000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000022-2-20−2i2i0000000
χ40222-2-2-2-2222-2-22222-222-2-2-2-2-22-22-2002-22-22-22-2000000000−2i2i0000000000000000−2i−2i2i2i−2i−2i2i2i00000000000000000000000-2-22202i−2i0000000
χ412-2-22-22-22-22-2222-2-22-2-22-2-2222-22-200-2-2-2-22222002-20000000000000000000000000000000000002-22-2000000000000002-22-200000002-20
χ422-2-22-22-22-22-2222-2-22-2-22-2-2222-22-200-2-2-2-22222002-20000000000000000000000000000000000002-22-200000000000000-22-220000000-220
χ432-2-22-22-22-22-2222-2-22-2-22-2-2222-22-200-2-2-2-2222200-22000000000000000000000000000000000000-22-22000000000000002-22-20000000-220
χ442-2-22-22-22-22-2222-2-22-2-22-2-2222-22-200-2-2-2-2222200-22000000000000000000000000000000000000-22-2200000000000000-22-2200000002-20
χ452-2-2-22-2222-2-2222-2-2-2-2-2-222-2-22222002-22-2-22-222-200000000000000000000000000000000002-22-20000000000002-22-20000000002-200000
χ462-2-2-22-2222-2-2222-2-2-2-2-2-222-2-22222002-22-2-22-222-200000000000000000000000000000000002-22-2000000000000-22-22000000000-2200000
χ472-2-2-22-2222-2-2222-2-2-2-2-2-222-2-22222002-22-2-22-22-220000000000000000000000000000000000-22-220000000000002-22-2000000000-2200000
χ482-2-2-22-2222-2-2222-2-2-2-2-2-222-2-22222002-22-2-22-22-220000000000000000000000000000000000-22-22000000000000-22-220000000002-200000
χ492-2-2-22-222-222-222-2-2-2-2-2-222-2-2222200-22-222-22-2000002-200000000000000000000000000000000000002-22-200002-2-22002-2-220000000000
χ502-2-2-22-222-222-222-2-2-2-2-2-222-2-2222200-22-222-22-2000002-200000000000000000000000000000000000002-22-20000-222-200-222-20000000000
χ512-2-2-22-222-222-222-2-2-2-2-2-222-2-2222200-22-222-22-200000-220000000000000000000000000000000000000-22-2200002-2-2200-222-20000000000
χ522-2-2-22-222-222-222-2-2-2-2-2-222-2-2222200-22-222-22-200000-220000000000000000000000000000000000000-22-220000-222-2002-2-220000000000
χ5344444444-4-4-4-4−1+5−1−5−1+5−1+5−1+5−1−5−1−5−1−5−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5441−51−51+51+51−51−51+51+50000-40000001−51−51+51+5−1+5−1+5−1−5−1−500000000000000000000000000000000000000000000000000000
χ5444444444-4-4-4-4−1+5−1−5−1+5−1+5−1+5−1−5−1−5−1−5−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5-4-41−51−51+51+51−51−51+51+500004000000−1+5−1+5−1−5−1−51−51−51+51+500000000000000000000000000000000000000000000000000000
χ5544444444-4-4-4-4−1−5−1+5−1−5−1−5−1−5−1+5−1+5−1+5−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5441+51+51−51−51+51+51−51−50000-40000001+51+51−51−5−1−5−1−5−1+5−1+500000000000000000000000000000000000000000000000000000
χ5644444444-4-4-4-4−1−5−1+5−1−5−1−5−1−5−1+5−1+5−1+5−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5-4-41+51+51−51−51+51+51−51−500004000000−1−5−1−5−1+5−1+51+51+51−51−500000000000000000000000000000000000000000000000000000
χ57444-4-4-4-4444-4-4−1+5−1−5−1+5−1+51−5−1−5−1−51+51−51+51−51+5−1+51−5−1−51+500−1+51−5−1−51+5−1+51−5−1−51+50000000004i−4i0000000000000000−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ140000000000000000000000000000000000000
χ58444-4-4-4-4444-4-4−1+5−1−5−1+5−1+51−5−1−5−1−51+51−51+51−51+5−1+51−5−1−51+500−1+51−5−1−51+5−1+51−5−1−51+5000000000−4i4i00000000000000002ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ140000000000000000000000000000000000000
χ59444-4-4-4-4444-4-4−1−5−1+5−1−5−1−51+5−1+5−1+51−51+51−51+51−5−1−51+5−1+51−500−1−51+5−1+51−5−1−51+5−1+51−50000000004i−4i0000000000000000−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ14−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ380000000000000000000000000000000000000
χ60444-4-4-4-4444-4-4−1−5−1+5−1−5−1−51+5−1+5−1+51−51+51−51+51−5−1−51+5−1+51−500−1−51+5−1+51−5−1−51+5−1+51−5000000000−4i4i00000000000000002ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ142ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ380000000000000000000000000000000000000
χ61444-4-4-4-44-4-4444444-444-4-4-4-4-44-44-400-44-44-44-44000000000000000000000000000000000000000000000000000000000000000000000000
χ62444-4-4-4-44-4-444−1+5−1−5−1+5−1+51−5−1−5−1−51+51−51+51−51+5−1+51−5−1−51+5001−5−1+51+5−1−51−5−1+51+5−1−50000000000000000000−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ382ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ14000000000000000000000000000000000000000000000
χ63444-4-4-4-44-4-444−1+5−1−5−1+5−1+51−5−1−5−1−51+51−51+51−51+5−1+51−5−1−51+5001−5−1+51+5−1−51−5−1+51+5−1−500000000000000000002ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ38−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14000000000000000000000000000000000000000000000
χ64444-4-4-4-44-4-444−1−5−1+5−1−5−1−51+5−1+5−1+51−51+51−51+51−5−1−51+5−1+51−5001+5−1−51−5−1+51+5−1−51−5−1+500000000000000000002ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ38000000000000000000000000000000000000000000000
χ65444-4-4-4-44-4-444−1−5−1+5−1−5−1−51+5−1+5−1+51−51+51−51+51−5−1−51+5−1+51−5001+5−1−51−5−1+51+5−1−51−5−1+50000000000000000000−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38000000000000000000000000000000000000000000000
χ6644-444-4-4-40000444-4-44-4-4-4-444-44-44000000000000000000000000000000000000000000000000000000000000000000000000000002i2−2i2000
χ6744-444-4-4-40000444-4-44-4-4-4-444-44-4400000000000000000000000000000000000000000000000000000000000000000000000000000−2i22i2000
χ6844-4-4-444-40000444-444-4444-4-4-4-4-4-40000000000000000000000000000000000000000000000000000000000000000004i−4i00000000000000
χ6944-4-4-444-40000444-444-4444-4-4-4-4-4-4000000000000000000000000000000000000000000000000000000000000000000−4i4i00000000000000
χ704-444-4-44-4000044-44-4-44-44444-4-4-4-44i−4i000000000000000000000004i−4i4i−4i00000000000000000000000000000000000000000000000000000
χ714-444-4-44-4000044-44-4-44-44444-4-4-4-4−4i4i00000000000000000000000−4i4i−4i4i00000000000000000000000000000000000000000000000000000
χ724-444-4-44-40000−1+5−1−51−5−1+51−51+5−1−51+5−1+5−1−5−1+5−1−51−51−51+51+54i−4i00000000000000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ390000000000000000000000000000000000000
χ734-444-4-44-40000−1+5−1−51−5−1+51−51+5−1−51+5−1+5−1−5−1+5−1−51−51−51+51+54i−4i00000000000000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ390000000000000000000000000000000000000
χ744-444-4-44-40000−1+5−1−51−5−1+51−51+5−1−51+5−1+5−1−5−1+5−1−51−51−51+51+5−4i4i000000000000000000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ390000000000000000000000000000000000000
χ754-444-4-44-40000−1+5−1−51−5−1+51−51+5−1−51+5−1+5−1−5−1+5−1−51−51−51+51+5−4i4i000000000000000000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ390000000000000000000000000000000000000
χ764-444-4-44-40000−1−5−1+51+5−1−51+51−5−1+51−5−1−5−1+5−1−5−1+51+51+51−51−54i−4i00000000000000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ370000000000000000000000000000000000000
χ774-444-4-44-40000−1−5−1+51+5−1−51+51−5−1+51−5−1−5−1+5−1−5−1+51+51+51−51−54i−4i00000000000000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ370000000000000000000000000000000000000
χ784-444-4-44-40000−1−5−1+51+5−1−51+51−5−1+51−5−1−5−1+5−1−5−1+51+51+51−51−5−4i4i000000000000000000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ370000000000000000000000000000000000000
χ794-444-4-44-40000−1−5−1+51+5−1−51+51−5−1+51−5−1−5−1+5−1−5−1+51+51+51−51−5−4i4i000000000000000000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ370000000000000000000000000000000000000
χ804-44-444-4-4000044-444-444-4-4-4-4-44-44000000000000000002i2−2i200000000002i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000000000000000000000000
χ814-44-444-4-4000044-444-444-4-4-4-4-44-4400000000000000000−2i22i20000000000−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000000000000000000000000
χ824-44-444-4-40000−1+5−1−51−5−1+5−1+51+5−1−5−1−51−51+51−51+51−5−1+51+5−1−5000000000000000002i2−2i200−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ140000ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ390000000000000000000000000000000000000
χ834-44-444-4-40000−1+5−1−51−5−1+5−1+51+5−1−5−1−51−51+51−51+51−5−1+51+5−1−5000000000000000002i2−2i2002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ140000ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ390000000000000000000000000000000000000
χ844-44-444-4-40000−1+5−1−51−5−1+5−1+51+5−1−5−1−51−51+51−51+51−5−1+51+5−1−500000000000000000−2i22i200−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ140000−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ390000000000000000000000000000000000000
χ854-44-444-4-40000−1+5−1−51−5−1+5−1+51+5−1−5−1−51−51+51−51+51−5−1+51+5−1−500000000000000000−2i22i2002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ140000−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ390000000000000000000000000000000000000
χ864-44-444-4-40000−1−5−1+51+5−1−5−1−51−5−1+5−1+51+51−51+51−51+5−1−51−5−1+5000000000000000002i2−2i2002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ380000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ370000000000000000000000000000000000000
χ874-44-444-4-40000−1−5−1+51+5−1−5−1−51−5−1+5−1+51+51−51+51−51+5−1−51−5−1+5000000000000000002i2−2i200−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ380000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ370000000000000000000000000000000000000
χ884-44-444-4-40000−1−5−1+51+5−1−5−1−51−5−1+5−1+51+51−51+51−51+5−1−51−5−1+500000000000000000−2i22i2002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ380000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ370000000000000000000000000000000000000
χ894-44-444-4-40000−1−5−1+51+5−1−5−1−51−5−1+5−1+51+51−51+51−51+5−1−51−5−1+500000000000000000−2i22i200−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ380000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ370000000000000000000000000000000000000
χ904-4-44-44-444-44-444-4-44-4-44-4-4444-44-4004444-4-4-4-4000000000000000000000000000000000000000000000000000000000000000000000000
χ914-4-44-44-444-44-4−1+5−1−51−51−5−1+51+51+5−1−51−51+5−1+5−1−5−1+51−5−1−51+500−1+5−1+5−1−5−1−51−51−51+51+5000000000000000000000000000000000000000000000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ1400000000000000000000
χ924-4-44-44-444-44-4−1+5−1−51−51−5−1+51+51+5−1−51−51+5−1+5−1−5−1+51−5−1−51+500−1+5−1+5−1−5−1−51−51−51+51+50000000000000000000000000000000000000000000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ1400000000000000000000
χ934-4-44-44-444-44-4−1−5−1+51+51+5−1−51−51−5−1+51+51−5−1−5−1+5−1−51+5−1+51−500−1−5−1−5−1+5−1+51+51+51−51−50000000000000000000000000000000000000000000000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ3800000000000000000000
χ944-4-44-44-444-44-4−1−5−1+51+51+5−1−51−51−5−1+51+51−5−1−5−1+5−1−51+5−1+51−500−1−5−1−5−1+5−1+51+51+51−51−5000000000000000000000000000000000000000000000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ3800000000000000000000
χ954-4-44-44-44-44-44−1+5−1−51−51−5−1+51+51+5−1−51−51+5−1+5−1−5−1+51−5−1−51+5001−51−51+51+5−1+5−1+5−1−5−1−5004-4000000000000000000000000000000000000−1+51−5−1−51+50000000000000000000000000000
χ964-4-44-44-44-44-44−1+5−1−51−51−5−1+51+51+5−1−51−51+5−1+5−1−5−1+51−5−1−51+5001−51−51+51+5−1+5−1+5−1−5−1−500-440000000000000000000000000000000000001−5−1+51+5−1−50000000000000000000000000000
χ974-4-44-44-44-44-44−1−5−1+51+51+5−1−51−51−5−1+51+51−5−1−5−1+5−1−51+5−1+51−5001+51+51−51−5−1−5−1−5−1+5−1+5004-4000000000000000000000000000000000000−1−51+5−1+51−50000000000000000000000000000
χ984-4-44-44-44-44-44−1−5−1+51+51+5−1−51−51−5−1+51+51−5−1−5−1+5−1−51+5−1+51−5001+51+51−51−5−1−5−1−5−1+5−1+500-440000000000000000000000000000000000001+5−1−51−5−1+50000000000000000000000000000
χ994-4-4-44-4444-4-44−1+5−1−51−51−51−51+51+51+5−1+5−1−51−51+5−1+5−1+5−1−5−1−500−1+51−5−1−51+51−5−1+51+5−1−54-40000000000000000000000000000000000−1+51−5−1−51+500000000000000000000000000000000
χ1004-4-4-44-4444-4-44−1+5−1−51−51−51−51+51+51+5−1+5−1−51−51+5−1+5−1+5−1−5−1−500−1+51−5−1−51+51−5−1+51+5−1−5-4400000000000000000000000000000000001−5−1+51+5−1−500000000000000000000000000000000
χ1014-4-4-44-4444-4-44−1−5−1+51+51+51+51−51−51−5−1−5−1+51+51−5−1−5−1−5−1+5−1+500−1−51+5−1+51−51+5−1−51−5−1+54-40000000000000000000000000000000000−1−51+5−1+51−500000000000000000000000000000000
χ1024-4-4-44-4444-4-44−1−5−1+51+51+51+51−51−51−5−1−5−1+51+51−5−1−5−1−5−1+5−1+500−1−51+5−1+51−51+5−1−51−5−1+5-4400000000000000000000000000000000001+5−1−51−5−1+500000000000000000000000000000000
χ1034-4-4-44-444-444-4−1+5−1−51−51−51−51+51+51+5−1+5−1−51−51+5−1+5−1+5−1−5−1−5001−5−1+51+5−1−5−1+51−5−1−51+5000004-40000000000000000000000000000000000000−1+51−5−1−51+5000000000000000000000000
χ1044-4-4-44-444-444-4−1+5−1−51−51−51−51+51+51+5−1+5−1−51−51+5−1+5−1+5−1−5−1−5001−5−1+51+5−1−5−1+51−5−1−51+500000-4400000000000000000000000000000000000001−5−1+51+5−1−5000000000000000000000000
χ1054-4-4-44-444-444-4−1−5−1+51+51+51+51−51−51−5−1−5−1+51+51−5−1−5−1−5−1+5−1+5001+5−1−51−5−1+5−1−51+5−1+51−5000004-40000000000000000000000000000000000000−1−51+5−1+51−5000000000000000000000000
χ1064-4-4-44-444-444-4−1−5−1+51+51+51+51−51−51−5−1−5−1+51+51−5−1−5−1−5−1+5−1+5001+5−1−51−5−1+5−1−51+5−1+51−500000-4400000000000000000000000000000000000001+5−1−51−5−1+5000000000000000000000000
χ10788-888-8-8-80000−2+25−2−25−2+252−252−25−2−252+252+252−252+25−2+25−2−252−25−2+252+25−2−250000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10888-888-8-8-80000−2−25−2+25−2−252+252+25−2+252−252−252+252−25−2−25−2+252+25−2−252−25−2+250000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10988-8-8-888-80000−2+25−2−25−2+252−25−2+25−2−252+25−2−25−2+25−2−252−252+252−252−252+252+250000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11088-8-8-888-80000−2−25−2+25−2−252+25−2−25−2+252−25−2+25−2−25−2+252+252−252+252+252−252−250000000000000000000000000000000000000000000000000000000000000000000000000000000000

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