Finite Group Databasebeta

← Group #12159379

Character table — Group #12159379

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size1111111122222222222222222222222244444444444444444444448888888888888888888888888888888888888888881616161616161616161620202020202020202020202040404040404040404040
order1222222244444444551010101010101010101010101010444444202020202020202020202020202020202244441010101010101010202020202020202020202020202020202020202020202020202020204420202020202020204444888888884444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111
χ511111111111111111111111111111111-1-111-1-1111111111111111111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1
χ611111111111111111111111111111111-1-111-1-1111111111111111111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ711111111111111111111111111111111-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111
χ811111111111111111111111111111111-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111111111-1-111-1-1-1-1
χ9111111111-1-1-1-1111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1
χ10111111111-1-1-1-1111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111
χ11111111111-1-1-1-1111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-111
χ12111111111-1-1-1-1111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-1
χ13111111111-1-1-1-11111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-111
χ14111111111-1-1-1-11111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1
χ15111111111-1-1-1-11111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ16111111111-1-1-1-11111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111
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+52−1−52−1−52−1−52−1−52-2-222-2-21−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+52-2-21−521−521+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+52−1−52−1−52−1−52−1−5222-2-222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521−521+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+521−521−521−521−521+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+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+52-2-222-2-21+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+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+521−521−521−521−52-2-21+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+5222-2-222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+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+52-2-21+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+521−521−521−521−521+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+521−521−521−521−5222−1−52−1−52−1+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+52−1−5222-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52222-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+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+52−1−5222-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-2-22-2221−521−521−521−521+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+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+52−1−52-2-2-2-222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+5222-22-2-2−1+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+52-221−521−521+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+52−1−52-2-2-2-222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-2-2-22221−521−521−521−521+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+52−1−52−1−52−1−52−1−522-2−1+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+5222-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52222-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+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+5222-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-2-22-2221+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+521−521−52−1−52−1−52−1−52−1−52−1+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+52-2-2-2-222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−5222-22-2-2−1−52−1−52−1−52−1−52−1+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+521−521−521−521−52-221+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+52-2-2-2-222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-2-2-22221+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-2−1−52−1−52−1+52−1+521+521+521−521−520000000000000000000000
χ3322222222-22222-2-2-2222222222222222222-2-222-2-2-2-2-2-2-2-22222222200-2-2000000000022-2-222-2-2-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000
χ3422222222-22222-2-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200220000000000-2-222-2-222-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000
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+52−1−5222-2-2221−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200-2-200ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−1+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+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+52−1−5222-2-2221−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200-2-200−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−1+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−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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χ8944-4-44-4-44044-4-4000−1+5−1−5−1+5−1−5−1+51−5−1−51+51−51−51+51+51−51+5−1+5−1−5−4i4i00−4i4i00000000−1+5−1+51−51−5−1−5−1−51+51+5000000000000002ζ22+2ζ38−2ζ22−2ζ38002ζ6+2ζ14−2ζ6−2ζ140000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ1400000000000000000000000000000000000000000000
χ9044-4-44-4-44044-4-4000−1−5−1+5−1−5−1+5−1−51+5−1+51−51+51+51−51−51+51−5−1−5−1+54i−4i004i−4i00000000−1−5−1−51+51+5−1+5−1+51−51−500000000000000−2ζ6−2ζ142ζ6+2ζ1400−2ζ22−2ζ382ζ22+2ζ38000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ3800000000000000000000000000000000000000000000
χ9144-4-44-4-44044-4-4000−1−5−1+5−1−5−1+5−1−51+5−1+51−51+51+51−51−51+51−5−1−5−1+5−4i4i00−4i4i00000000−1−5−1−51+51+5−1+5−1+51−51−5000000000000002ζ6+2ζ14−2ζ6−2ζ14002ζ22+2ζ38−2ζ22−2ζ380000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ3800000000000000000000000000000000000000000000
χ9244-4-44-4-440-4-444000−1+5−1−5−1+5−1−5−1+51−5−1−51+51−51−51+51+51−51+5−1+5−1−54i−4i00−4i4i000000001−51−5−1+5−1+51+51+5−1−5−1−500000000000000−2ζ22−2ζ382ζ22+2ζ3800−2ζ6−2ζ142ζ6+2ζ140000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ1400000000000000000000000000000000000000000000
χ9344-4-44-4-440-4-444000−1+5−1−5−1+5−1−5−1+51−5−1−51+51−51−51+51+51−51+5−1+5−1−5−4i4i004i−4i000000001−51−5−1+5−1+51+51+5−1−5−1−5000000000000002ζ22+2ζ38−2ζ22−2ζ38002ζ6+2ζ14−2ζ6−2ζ14000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ1400000000000000000000000000000000000000000000
χ9444-4-44-4-440-4-444000−1−5−1+5−1−5−1+5−1−51+5−1+51−51+51+51−51−51+51−5−1−5−1+54i−4i00−4i4i000000001+51+5−1−5−1−51−51−5−1+5−1+500000000000000−2ζ6−2ζ142ζ6+2ζ1400−2ζ22−2ζ382ζ22+2ζ380000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ3800000000000000000000000000000000000000000000
χ9544-4-44-4-440-4-444000−1−5−1+5−1−5−1+5−1−51+5−1+51−51+51+51−51−51+51−5−1−5−1+5−4i4i004i−4i000000001+51+5−1−5−1−51−51−5−1+5−1+5000000000000002ζ6+2ζ14−2ζ6−2ζ14002ζ22+2ζ38−2ζ22−2ζ38000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ3800000000000000000000000000000000000000000000
χ964-444-4-4-440000000044-4-4-44-444-44-4-4-44400000000000000000000000000000000000000000000000000000000000000000000000000000000002i2−2i2−2i22i20000000000
χ974-444-4-4-440000000044-4-4-44-444-44-4-4-4440000000000000000000000000000000000000000000000000000000000000000000000000000000000−2i22i22i2−2i20000000000
χ984-44-44-44-444i−4i4i−4i-4-44−1+5−1−51−51+5−1+5−1+5−1−5−1−51−51−51+51+5−1+5−1−51−51+5004i−4i00−1+51−5−1+51−5−1−51+5−1−51+5−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ140000000000000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14000000000000000000000000000000000000000000000000
χ994-44-44-44-444i−4i4i−4i-4-44−1−5−1+51+51−5−1−5−1−5−1+5−1+51+51+51−51−5−1−5−1+51+51−5004i−4i00−1−51+5−1−51+5−1+51−5−1+51−5−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ380000000000000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38000000000000000000000000000000000000000000000000
χ1004-44-44-44-44−4i4i−4i4i-4-44−1+5−1−51−51+5−1+5−1+5−1−5−1−51−51−51+51+5−1+5−1−51−51+500−4i4i00−1+51−5−1+51−5−1−51+5−1−51+52ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ1400000000000000000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14000000000000000000000000000000000000000000000000
χ1014-44-44-44-44−4i4i−4i4i-4-44−1−5−1+51+51−5−1−5−1−5−1+5−1+51+51+51−51−5−1−5−1+51+51−500−4i4i00−1−51+5−1−51+5−1+51−5−1+51−52ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ3800000000000000000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38000000000000000000000000000000000000000000000000
χ1024-44-44-44-4-44i−4i4i−4i44-4−1+5−1−51−51+5−1+5−1+5−1−5−1−51−51−51+51+5−1+5−1−51−51+500−4i4i001−5−1+51−5−1+51+5−1−51+5−1−5−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ1400000000000000000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14000000000000000000000000000000000000000000000000
χ1034-44-44-44-4-44i−4i4i−4i44-4−1−5−1+51+51−5−1−5−1−5−1+5−1+51+51+51−51−5−1−5−1+51+51−500−4i4i001+5−1−51+5−1−51−5−1+51−5−1+5−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ3800000000000000000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38000000000000000000000000000000000000000000000000
χ1044-44-44-44-4-4−4i4i−4i4i44-4−1+5−1−51−51+5−1+5−1+5−1−5−1−51−51−51+51+5−1+5−1−51−51+5004i−4i001−5−1+51−5−1+51+5−1−51+5−1−52ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ140000000000000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14000000000000000000000000000000000000000000000000
χ1054-44-44-44-4-4−4i4i−4i4i44-4−1−5−1+51+51−5−1−5−1−5−1+5−1+51+51+51−51−5−1−5−1+51+51−5004i−4i001+5−1−51+5−1−51−5−1+51−5−1+52ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ380000000000000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38000000000000000000000000000000000000000000000000
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χ1074-4-4444-4-404i−4i−4i4i000−1+5−1−51−51+5−1+51−5−1−51+5−1+5−1+5−1−5−1−51−51+51−51+500000000000000−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ1400000000000000002ζ12−2ζ28−2ζ12+2ζ2800−2ζ4+2ζ362ζ4−2ζ3600000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ140000000000000000000000000000000000000000
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χ1094-4-4444-4-404i−4i−4i4i000−1−5−1+51+51−5−1−51+5−1+51−5−1−5−1−5−1+5−1+51+51−51+51−500000000000000−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ380000000000000000−2ζ4+2ζ362ζ4−2ζ3600−2ζ12+2ζ282ζ12−2ζ2800000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ380000000000000000000000000000000000000000
χ1104-4-4444-4-404i−4i−4i4i000−1−5−1+51+51−5−1−51+5−1+51−5−1−5−1−5−1+5−1+51+51−51+51−500000000000000−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ3800000000000000002ζ4−2ζ36−2ζ4+2ζ36002ζ12−2ζ28−2ζ12+2ζ28000000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ380000000000000000000000000000000000000000
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χ1124-4-4444-4-40−4i4i4i−4i000−1+5−1−51−51+5−1+51−5−1−51+5−1+5−1+5−1−5−1−51−51+51−51+5000000000000002ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ1400000000000000002ζ12−2ζ28−2ζ12+2ζ2800−2ζ4+2ζ362ζ4−2ζ36000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ140000000000000000000000000000000000000000
χ1134-4-4444-4-40−4i4i4i−4i000−1+5−1−51−51+5−1+51−5−1−51+5−1+5−1+5−1−5−1−51−51+51−51+5000000000000002ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ140000000000000000−2ζ12+2ζ282ζ12−2ζ28002ζ4−2ζ36−2ζ4+2ζ3600000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ140000000000000000000000000000000000000000
χ1144-4-4444-4-40−4i4i4i−4i000−1−5−1+51+51−5−1−51+5−1+51−5−1−5−1−5−1+5−1+51+51−51+51−5000000000000002ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ380000000000000000−2ζ4+2ζ362ζ4−2ζ3600−2ζ12+2ζ282ζ12−2ζ28000000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ380000000000000000000000000000000000000000
χ1154-4-4444-4-40−4i4i4i−4i000−1−5−1+51+51−5−1−51+5−1+51−5−1−5−1−5−1+5−1+51+51−51+51−5000000000000002ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ3800000000000000002ζ4−2ζ36−2ζ4+2ζ36002ζ12−2ζ28−2ζ12+2ζ2800000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ380000000000000000000000000000000000000000
χ1164-4-4-4-4444400004-4-444-4-4-4-4-4-4-44-444444000000-444-4-444-40000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1174-4-4-4-4444400004-4-4−1+5−1−51−51+51−51−51+51+51−5−1+51+5−1−5−1+5−1−5−1+5−1−50000001−5−1+5−1+51−51+5−1−5−1−51+5000000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ36000000000000000000000000000000000000000000000000000000000000
χ1184-4-4-4-4444400004-4-4−1+5−1−51−51+51−51−51+51+51−5−1+51+5−1−5−1+5−1−5−1+5−1−50000001−5−1+5−1+51−51+5−1−5−1−51+500000000000000−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ36000000000000000000000000000000000000000000000000000000000000
χ1194-4-4-4-4444400004-4-4−1−5−1+51+51−51+51+51−51−51+5−1−51−5−1+5−1−5−1+5−1−5−1+50000001+5−1−5−1−51+51−5−1+5−1+51−500000000000000−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ28000000000000000000000000000000000000000000000000000000000000
χ1204-4-4-4-4444400004-4-4−1−5−1+51+51−51+51+51−51−51+5−1−51−5−1+5−1−5−1+5−1−5−1+50000001+5−1−5−1−51+51−5−1+5−1+51−5000000000000002ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ28000000000000000000000000000000000000000000000000000000000000
χ1214-4-4-4-4444-40000-444−1+5−1−51−51+51−51−51+51+51−5−1+51+5−1−5−1+5−1−5−1+5−1−5000000−1+51−51−5−1+5−1−51+51+5−1−5000000004-40000−1+51−5−1+51−5−1−51+5−1−51+5000000000000000000000000000000000000000000000000000000000000
χ1224-4-4-4-4444-40000-444−1+5−1−51−51+51−51−51+51+51−5−1+51+5−1−5−1+5−1−5−1+5−1−5000000−1+51−51−5−1+5−1−51+51+5−1−500000000-4400001−5−1+51−5−1+51+5−1−51+5−1−5000000000000000000000000000000000000000000000000000000000000
χ1234-4-4-4-4444-40000-444−1−5−1+51+51−51+51+51−51−51+5−1−51−5−1+5−1−5−1+5−1−5−1+5000000−1−51+51+5−1−5−1+51−51−5−1+5000000004-40000−1−51+5−1−51+5−1+51−5−1+51−5000000000000000000000000000000000000000000000000000000000000
χ1244-4-4-4-4444-40000-444−1−5−1+51+51−51+51+51−51−51+5−1−51−5−1+5−1−5−1+5−1−5−1+5000000−1−51+51+5−1−5−1+51−51−5−1+500000000-4400001+5−1−51+5−1−51−5−1+51−5−1+5000000000000000000000000000000000000000000000000000000000000
χ125888-8-88-8-800000000−2+25−2−25−2+25−2−252−25−2+252+25−2−252−25−2+252+25−2−252−252+252−252+25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ126888-8-88-8-800000000−2−25−2+25−2−25−2+252+25−2−252−25−2+252+25−2−252−25−2+252+252−252+252−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1278-888-8-8-8800000000−2+25−2−252−252+252−25−2+252+25−2−25−2+252−25−2−252+252−252+25−2+25−2−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1288-888-8-8-8800000000−2−25−2+252+252−252+25−2−252−25−2+25−2−252+25−2+252−252+252−25−2−25−2+25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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