Finite Group Databasebeta

← Group #12146730

Character table — Group #12146730

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size1111111122222222222222222222222244444444444444444444448888888888888888888888888888888888888888881616161616161616161620202020202020202020202040404040404040404040
order1222222244444444551010101010101010101010101010224444202020202020202020202020202020204444441010101020202020202020202020202020202020202020202020202020202020202020202410101010202020202222888888882244448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111-1-11-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111-1-11-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111
χ511111111111111111111111111111111-1-111-1-11111111111111111-111-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1
χ611111111111111111111111111111111-1-111-1-11111111111111111-111-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ711111111111111111111111111111111-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111
χ811111111111111111111111111111111-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111111111-1-111-1-1-1-1
χ9111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111
χ10111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1
χ11111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-1
χ12111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-111
χ13111111111-1-1-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1
χ14111111111-1-1-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111
χ15111111111-1-1-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111
χ16111111111-1-1-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1
χ172222222222222222−1+52−1−52−1+52−1+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+52−1−52−1−52−1−52−1−52222222−1+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+52−1−52−1−52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000000000
χ182222222222222222−1+52−1−52−1+52−1+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+52−1−52−1−52−1−52−1−522-2-22-2-2−1+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+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2-21−521−521+521+521−521−521+521+520000000000000000000000
χ192222222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-222-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-222-2221−521−521+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+52−1−52−1−52−1−52−1−521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521−521+521+521−521−521+521+520000000000000000000000
χ202222222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-222-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-2-2-21−521−521+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+5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000000000
χ212222222222222222−1−52−1+52−1−52−1−52−1+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+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+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000000000
χ222222222222222222−1−52−1+52−1−52−1−52−1+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+522-2-22-2-2−1−52−1−52−1+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+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2-21+521+521−521−521+521+521−521−520000000000000000000000
χ232222222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-222-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521+521−521−521+521+521−521−520000000000000000000000
χ242222222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-2-2-21+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+521−521−521−521−5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000000000
χ25222222222-2-2-2-2222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-21−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2222-2-2−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+522-2−1+52−1+52−1−52−1−521−521−521+521+520000000000000000000000
χ26222222222-2-2-2-2222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-21−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2222−1+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+52−1−52−1−52−1−52−1−52-221−521−521+521+52−1+52−1+52−1−52−1−520000000000000000000000
χ27222222222-2-2-2-2222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2221−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52222-2-2-21−521−521+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+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52-221−521−521+521+52−1+52−1+52−1−52−1−520000000000000000000000
χ28222222222-2-2-2-2222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2221−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2-2-2221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2−1+52−1+52−1−52−1−521−521−521+521+520000000000000000000000
χ29222222222-2-2-2-2222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-21+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2222-2-2−1−52−1−52−1+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+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−520000000000000000000000
χ30222222222-2-2-2-2222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-21+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2222−1−52−1−52−1+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+52-221+521+521−521−52−1−52−1−52−1+52−1+520000000000000000000000
χ31222222222-2-2-2-2222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2221+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52222-2-2-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+520000000000000000000000
χ32222222222-2-2-2-2222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2221+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-2-2-2221+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+521−521−521−521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-2−1−52−1−52−1+52−1+521+521+521−521−520000000000000000000000
χ3322222222-22222-2-2-2222222222222222222-2-22222222222-2-2-2-2-2-2-2-2-200-2002222-2-2-2-2-2-2-2-2222200000000-2-2-2-20000000000000000000000000000000000000000
χ3422222222-22222-2-2-22222222222222222-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2200200-2-2-2-22222-2-2-2-2-2-2-2-20000000022220000000000000000000000000000000000000000
χ3522222222-22222-2-2-2−1+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+52−1−5222-2-222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-200-200−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ361−521−521+521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ3600ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000000000000000
χ3622222222-22222-2-2-2−1+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+52−1−5222-2-222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-200-200−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ361−521−521+521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ3600−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000000000000000
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χ83444-4-44-4-4-4−4i−4i4i4i44-4−1+5−1−5−1+5−1+5−1−5−1−51−51−51+51+51−51−51+51+5−1+5−1−5004i−4i002ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ141−51−5−1+5−1+51+51+5−1−5−1−500000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ1400000000000000000000000000000000000000000000000000000000
χ84444-4-44-4-4-4−4i−4i4i4i44-4−1−5−1+5−1−5−1−5−1+5−1+51+51+51−51−51+51+51−51−5−1−5−1+5004i−4i002ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ142ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ381+51+5−1−5−1−51−51−5−1+5−1+500000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ3800000000000000000000000000000000000000000000000000000000
χ8544-444-4-4-404i−4i4i−4i000−1+5−1−5−1+51−5−1−51+5−1+51−5−1−51+5−1+51−5−1−51+51−51+54-4004i−4i−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ1400000000000000−1+51−5−1−51+500000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ140000000000000000000000000000000000000000000000000000
χ8644-444-4-4-404i−4i4i−4i000−1+5−1−5−1+51−5−1−51+5−1+51−5−1−51+5−1+51−5−1−51+51−51+5-4400−4i4i−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14000000000000001−5−1+51+5−1−5000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ140000000000000000000000000000000000000000000000000000
χ8744-444-4-4-404i−4i4i−4i000−1−5−1+5−1−51+5−1+51−5−1−51+5−1+51−5−1−51+5−1+51−51+51−54-4004i−4i−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ3800000000000000−1−51+5−1+51−500000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ380000000000000000000000000000000000000000000000000000
χ8844-444-4-4-404i−4i4i−4i000−1−5−1+5−1−51+5−1+51−5−1−51+5−1+51−5−1−51+5−1+51−51+51−5-4400−4i4i−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38000000000000001+5−1−51−5−1+5000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ380000000000000000000000000000000000000000000000000000
χ8944-444-4-4-40−4i4i−4i4i000−1+5−1−5−1+51−5−1−51+5−1+51−5−1−51+5−1+51−5−1−51+51−51+54-400−4i4i2ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ1400000000000000−1+51−5−1−51+5000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ140000000000000000000000000000000000000000000000000000
χ9044-444-4-4-40−4i4i−4i4i000−1+5−1−5−1+51−5−1−51+5−1+51−5−1−51+5−1+51−5−1−51+51−51+5-44004i−4i2ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ14000000000000001−5−1+51+5−1−500000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ140000000000000000000000000000000000000000000000000000
χ9144-444-4-4-40−4i4i−4i4i000−1−5−1+5−1−51+5−1+51−5−1−51+5−1+51−5−1−51+5−1+51−51+51−54-400−4i4i2ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ3800000000000000−1−51+5−1+51−5000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ380000000000000000000000000000000000000000000000000000
χ9244-444-4-4-40−4i4i−4i4i000−1−5−1+5−1−51+5−1+51−5−1−51+5−1+51−5−1−51+5−1+51−51+51−5-44004i−4i2ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ38000000000000001+5−1−51−5−1+500000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ380000000000000000000000000000000000000000000000000000
χ9344-4-4-4-44404-4-44000444-44-4-44-44-44-44-4-40000004-4-444-4-440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9444-4-4-4-44404-4-44000−1+5−1−5−1+51−5−1−51+51−5−1+51+5−1−51−5−1+51+5−1−51−51+5000000−1+51−51−5−1+5−1−51+51+5−1−5000000000000000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ140000000000000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ140000000000000000000000000000000000000000
χ9544-4-4-4-44404-4-44000−1+5−1−5−1+51−5−1−51+51−5−1+51+5−1−51−5−1+51+5−1−51−51+5000000−1+51−51−5−1+5−1−51+51+5−1−50000000000000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ1400000000000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ140000000000000000000000000000000000000000
χ9644-4-4-4-44404-4-44000−1−5−1+5−1−51+5−1+51−51+5−1−51−5−1+51+5−1−51−5−1+51+51−5000000−1−51+51+5−1−5−1+51−51−5−1+50000000000000000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ3800000000000000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ380000000000000000000000000000000000000000
χ9744-4-4-4-44404-4-44000−1−5−1+5−1−51+5−1+51−51+5−1−51−5−1+51+5−1−51−5−1+51+51−5000000−1−51+51+5−1−5−1+51−51−5−1+5000000000000000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ380000000000000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ380000000000000000000000000000000000000000
χ9844-4-4-4-4440-444-4000444-44-4-44-44-44-44-4-4000000-444-4-444-40000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9944-4-4-4-4440-444-4000−1+5−1−5−1+51−5−1−51+51−5−1+51+5−1−51−5−1+51+5−1−51−51+50000001−5−1+5−1+51−51+5−1−5−1−51+5000000000000000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ1400000000000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ140000000000000000000000000000000000000000
χ10044-4-4-4-4440-444-4000−1+5−1−5−1+51−5−1−51+51−5−1+51+5−1−51−5−1+51+5−1−51−51+50000001−5−1+5−1+51−51+5−1−5−1−51+50000000000000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ140000000000000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ140000000000000000000000000000000000000000
χ10144-4-4-4-4440-444-4000−1−5−1+5−1−51+5−1+51−51+5−1−51−5−1+51+5−1−51−5−1+51+51−50000001+5−1−5−1−51+51−5−1+5−1+51−50000000000000000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ380000000000000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ380000000000000000000000000000000000000000
χ10244-4-4-4-4440-444-4000−1−5−1+5−1−51+5−1+51−51+5−1−51−5−1+51+5−1−51−5−1+51+51−50000001+5−1−5−1−51+51−5−1+5−1+51−5000000000000000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ3800000000000000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ380000000000000000000000000000000000000000
χ1034-444-4-44-40000000044-44-444444-4-4-4-4-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000002i2−2i2−2i22i20000000000
χ1044-444-4-44-40000000044-44-444444-4-4-4-4-4-40000000000000000000000000000000000000000000000000000000000000000000000000000000000−2i22i22i2−2i20000000000
χ1054-44-44-4-440000000044-44-44-4-4-4-44444-4-400000000000000000000000000000000000000000000000000000000000000000000000000000022−22−222200000000000000
χ1064-44-44-4-440000000044-44-44-4-4-4-44444-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000−222222−2200000000000000
χ1074-4-44-44-4440000-44-444-4-4-4-44-44-4-44-444400000000000000-44-44-44-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ1084-4-44-44-4440000-44-4−1+5−1−51−51−51+51+5−1+51−5−1−51+51−5−1+51+5−1−5−1+5−1−5000000000000001−5−1+51−5−1+51+5−1−51+5−1−500000000000000000000000000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ3600000000000000000000000000000000
χ1094-4-44-44-4440000-44-4−1+5−1−51−51−51+51+5−1+51−5−1−51+51−5−1+51+5−1−5−1+5−1−5000000000000001−5−1+51−5−1+51+5−1−51+5−1−50000000000000000000000000000000000−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ3600000000000000000000000000000000
χ1104-4-44-44-4440000-44-4−1−5−1+51+51+51−51−5−1−51+5−1+51−51+5−1−51−5−1+5−1−5−1+5000000000000001+5−1−51+5−1−51−5−1+51−5−1+50000000000000000000000000000000000−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ2800000000000000000000000000000000
χ1114-4-44-44-4440000-44-4−1−5−1+51+51+51−51−5−1−51+5−1+51−51+5−1−51−5−1+5−1−5−1+5000000000000001+5−1−51+5−1−51−5−1+51−5−1+500000000000000000000000000000000002ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ2800000000000000000000000000000000
χ1124-4-44-44-44-400004-44−1+5−1−51−51−51+51+5−1+51−5−1−51+51−5−1+51+5−1−5−1+5−1−500000000000000−1+51−5−1+51−5−1−51+5−1−51+500004-40000000000000000000000000000−1+51−5−1+51−5−1−51+5−1−51+500000000000000000000000000000000
χ1134-4-44-44-44-400004-44−1+5−1−51−51−51+51+5−1+51−5−1−51+51−5−1+51+5−1−5−1+5−1−500000000000000−1+51−5−1+51−5−1−51+5−1−51+50000-4400000000000000000000000000001−5−1+51−5−1+51+5−1−51+5−1−500000000000000000000000000000000
χ1144-4-44-44-44-400004-44−1−5−1+51+51+51−51−5−1−51+5−1+51−51+5−1−51−5−1+5−1−5−1+500000000000000−1−51+5−1−51+5−1+51−5−1+51−500004-40000000000000000000000000000−1−51+5−1−51+5−1+51−5−1+51−500000000000000000000000000000000
χ1154-4-44-44-44-400004-44−1−5−1+51+51+51−51−5−1−51+5−1+51−51+5−1−51−5−1+5−1−5−1+500000000000000−1−51+5−1−51+5−1+51−5−1+51−50000-4400000000000000000000000000001+5−1−51+5−1−51−5−1+51−5−1+500000000000000000000000000000000
χ1164-4-4-4444-4400004-4-444-4-4-4-4-44-444-44-44400000000000000-444-4-444-400000000000000000000000000000000000000000000000000000000000000000000000000
χ1174-4-4-4444-4400004-4-4−1+5−1−51−51−51+51+51−5−1+51+5−1−5−1+51−5−1−51+5−1+5−1−5000000000000001−5−1+5−1+51−51+5−1−5−1−51+500000000000000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ3600000000000000000000000000000000000000000000
χ1184-4-4-4444-4400004-4-4−1+5−1−51−51−51+51+51−5−1+51+5−1−5−1+51−5−1−51+5−1+5−1−5000000000000001−5−1+5−1+51−51+5−1−5−1−51+50000000000000000000000−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ3600000000000000000000000000000000000000000000
χ1194-4-4-4444-4400004-4-4−1−5−1+51+51+51−51−51+5−1−51−5−1+5−1−51+5−1+51−5−1−5−1+5000000000000001+5−1−5−1−51+51−5−1+5−1+51−50000000000000000000000−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ2800000000000000000000000000000000000000000000
χ1204-4-4-4444-4400004-4-4−1−5−1+51+51+51−51−51+5−1−51−5−1+5−1−51+5−1+51−5−1−5−1+5000000000000001+5−1−5−1−51+51−5−1+5−1+51−500000000000000000000002ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ2800000000000000000000000000000000000000000000
χ1214-4-4-4444-4-40000-444−1+5−1−51−51−51+51+51−5−1+51+5−1−5−1+51−5−1−51+5−1+5−1−500000000000000−1+51−51−5−1+5−1−51+51+5−1−504-40000000000000000000−1+51−5−1+51−5−1−51+5−1−51+500000000000000000000000000000000000000000000
χ1224-4-4-4444-4-40000-444−1+5−1−51−51−51+51+51−5−1+51+5−1−5−1+51−5−1−51+5−1+5−1−500000000000000−1+51−51−5−1+5−1−51+51+5−1−50-4400000000000000000001−5−1+51−5−1+51+5−1−51+5−1−500000000000000000000000000000000000000000000
χ1234-4-4-4444-4-40000-444−1−5−1+51+51+51−51−51+5−1−51−5−1+5−1−51+5−1+51−5−1−5−1+500000000000000−1−51+51+5−1−5−1+51−51−5−1+504-40000000000000000000−1−51+5−1−51+5−1+51−5−1+51−500000000000000000000000000000000000000000000
χ1244-4-4-4444-4-40000-444−1−5−1+51+51+51−51−51+5−1−51−5−1+5−1−51+5−1+51−5−1−5−1+500000000000000−1−51+51+5−1−5−1+51−51−5−1+50-4400000000000000000001+5−1−51+5−1−51−5−1+51−5−1+500000000000000000000000000000000000000000000
χ1258-888-8-88-800000000−2+25−2−252−25−2+252+25−2−25−2+25−2+25−2−25−2−252−252−252+252+252−252+25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-888-8-88-800000000−2−25−2+252+25−2−252−25−2+25−2−25−2−25−2+25−2+252+252+252−252−252+252−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1278-88-88-8-8800000000−2+25−2−252−25−2+252+25−2−252−252−252+252+25−2+25−2+25−2−25−2−252−252+25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1288-88-88-8-8800000000−2−25−2+252+25−2−252−25−2+252+252+252−252−25−2−25−2−25−2+25−2+252+252−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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