Finite Group Databasebeta

← Group #12150071

Character table — Group #12150071

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134
size11111111222222222222222222222222444444444444444444444444448888888888888888888888888888888888888888101010101010101016161616161616161616202020202020202020202020404040408080
order1222222244444444551010101010101010101010101010222244444420202020202020202020202020202020444410101010101010102020202020202020202020202020202020202020202020202020202088888888241010101020202020888888888888224444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111
χ711111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111111111-1-1
χ91111111111-1-1-1-111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-11
χ101111111111-1-1-1-111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-1111111-1-11-1
χ111111111111-1-1-1-111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-11-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11-1
χ121111111111-1-1-1-111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-11111-1-111-11
χ131111111111-1-1-1-1111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111-1
χ141111111111-1-1-1-1111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1111111111111-1-1-1-111-1-1-11
χ151111111111-1-1-1-1111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11
χ161111111111-1-1-1-1111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11-11111-1-1-1-111111111-1-1-1-1-1-1111-1
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+52−1−522222222222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000
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+52−1−522222222222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-2−1+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+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000-2-21−521−521+521+521−521−521+521+52000000000000000000
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+52−1−52-2-2-2-222-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222221−521−521+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+5200000000-2-21−521−521+521+521−521−521+521+52000000000000000000
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+52−1−52-2-2-2-222-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-21−521−521+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+520000000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000
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+522222222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000
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+522222222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-2−1−52−1−52−1+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+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000-2-21+521+521−521−521+521+521−521−52000000000000000000
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+52-2-2-2-222-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222221+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+521−521−5200000000-2-21+521+521−521−521+521+521−521−52000000000000000000
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+52-2-2-2-222-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-21+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+521−521−520000000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000
χ252222222222-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-222-2-21−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−521−521−521+521+52000000002-2−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000
χ262222222222-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-222-2-21−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-222−1+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+52−1−52−1−521−521−521+521+5200000000-221−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000
χ272222222222-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-222-2-2-2-2221−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000-221−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000
χ282222222222-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-222-2-2-2-2221−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2221−521−521+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+52−1−52−1−52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000002-2−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000
χ292222222222-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-222-2-21+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222-2-2−1−52−1−52−1+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+521−521−521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000000002-2−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000
χ302222222222-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-222-2-21+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-222−1−52−1−52−1+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+521+521+521−521−5200000000-221+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000
χ312222222222-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-222-2-2-2-2221+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222-2-21+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+521+521+521+521+521−521−521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000-221+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000
χ322222222222-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-222-2-2-2-2221+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2221+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+521+521+521−521−52−1−52−1−52−1+52−1+52000000002-2−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000
χ3322222222-2-22222-2-2222222222222222222-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-200002222-2-2-2-2-2-2-2-20000000000000000-2-2-2-22222000000000000000000000000000000000000
χ3422222222-2-22222-2-22222222222222222-2-222-2-222-2-222222222-2-2-2-2-2-2-2-20000-2-2-2-22222-2-2-2-200000000000000002222-2-2-2-2000000000000000000000000000000000000
χ3522222222-2-22222-2-2−1+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+52−1−5222-2-2-2-2-2-222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+520000−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ361−521−521+521+52−1+52−1+52−1−52−1−520000000000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000000000
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χ3722222222-2-22222-2-2−1+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+52−1−52-2-222-2-222-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+5200001−521−521+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−ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−1+52−1+52−1−52−1−521−521−521+521+520000000000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000000000
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χ10044-444-4-4-4-440000-44−1−5−1+5−1−51+5−1+51−51+51+51−51−51+5−1−51−5−1+5−1−5−1+50000000000000000001+51+5−1−5−1−51−51−5−1+5−1+50000000000000000−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ280000000000000000000000000000000000000000000000000000
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χ1074-444-44-4-4004i−4i4i−4i00−1−5−1+51+5−1−51−5−1+5−1−51+5−1+51−51+5−1−51−5−1+51+51−5-44000000−4i4i−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ380000000000001+5−1−51−5−1+500000000000000000000000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38000000000000000000000000000000000000
χ1084-444-44-4-400−4i4i−4i4i00−1+5−1−51−5−1+51+5−1−5−1+51−5−1−51+51−5−1+51+5−1−51−51+54-4000000−4i4i2ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ14000000000000−1+51−5−1−51+500000000000000000000000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14000000000000000000000000000000000000
χ1094-444-44-4-400−4i4i−4i4i00−1+5−1−51−5−1+51+5−1−5−1+51−5−1−51+51−5−1+51+5−1−51−51+5-440000004i−4i2ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ140000000000001−5−1+51+5−1−50000000000000000000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14000000000000000000000000000000000000
χ1104-444-44-4-400−4i4i−4i4i00−1−5−1+51+5−1−51−5−1+5−1−51+5−1+51−51+5−1−51−5−1+51+51−54-4000000−4i4i2ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ38000000000000−1−51+5−1+51−500000000000000000000000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38000000000000000000000000000000000000
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χ1144-44-44-44-444-444-4-4-4−1+5−1−51−51−51+51+5−1+5−1+5−1−5−1−51−51−51+51+5−1+5−1−50000-4400001−5−1+5−1+51−51+5−1−5−1−51+5−1+51−5−1+51−5−1−51+5−1−51+50000000000001−5−1+51+5−1−5000000000000000000000000000000000000000000000000000000000000
χ1154-44-44-44-444-444-4-4-4−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+51+51+51−51−5−1−5−1+50000-4400001+5−1−5−1−51+51−5−1+5−1+51−5−1−51+5−1−51+5−1+51−5−1+51−50000000000001+5−1−51−5−1+5000000000000000000000000000000000000000000000000000000000000
χ1164-44-44-44-4-4-44-4-4444−1+5−1−51−51−51+51+5−1+5−1+5−1−5−1−51−51−51+51+5−1+5−1−50000-440000−1+51−51−5−1+5−1−51+51+5−1−51−5−1+51−5−1+51+5−1−51+5−1−50000000000001−5−1+51+5−1−5000000000000000000000000000000000000000000000000000000000000
χ1174-44-44-44-4-4-44-4-4444−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+51+51+51−51−5−1−5−1+50000-440000−1−51+51+5−1−5−1+51−51−5−1+51+5−1−51+5−1−51−5−1+51−5−1+50000000000001+5−1−51−5−1+5000000000000000000000000000000000000000000000000000000000000
χ1184-44-44-44-4-4-4-444-444−1+5−1−51−51−51+51+5−1+5−1+5−1−5−1−51−51−51+51+5−1+5−1−500004-400001−5−1+5−1+51−51+5−1−5−1−51+51−5−1+51−5−1+51+5−1−51+5−1−5000000000000−1+51−5−1−51+5000000000000000000000000000000000000000000000000000000000000
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χ1204-4-44-4-4440000000044-4-4-4-4-44-444444-4-400000000000000000000000000000000000000000000000000000000000000000022−22−222222−22−22220000000000000000000000000000
χ1214-4-44-4-4440000000044-4-4-4-4-44-444444-4-4000000000000000000000000000000000000000000000000000000000000000000−222222−22−222222−220000000000000000000000000000
χ1224-4-4-444-444-40000-44−1+5−1−51−5−1+51+5−1−51−51−51+51+5−1+51−5−1−51+5−1+5−1−5000000000000000000−1+51−51−5−1+5−1−51+51+5−1−5004-400000000000000000000−1+51−5−1+51−5−1−51+5−1−51+500000000000000000000000000000000000000000000
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χ1244-4-4-444-444-40000-44−1−5−1+51+5−1−51−5−1+51+51+51−51−5−1−51+5−1+51−5−1−5−1+5000000000000000000−1−51+51+5−1−5−1+51−51−5−1+5004-400000000000000000000−1−51+5−1−51+5−1+51−5−1+51−500000000000000000000000000000000000000000000
χ1254-4-4-444-444-40000-44−1−5−1+51+5−1−51−5−1+51+51+51−51−5−1−51+5−1+51−5−1−5−1+5000000000000000000−1−51+51+5−1−5−1+51−51−5−1+500-44000000000000000000001+5−1−51+5−1−51−5−1+51−5−1+500000000000000000000000000000000000000000000
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χ1274-4-4-444-44-4400004-4−1+5−1−51−5−1+51+5−1−51−51−51+51+5−1+51−5−1−51+5−1+5−1−50000000000000000001−5−1+5−1+51−51+5−1−5−1−51+50000000000000000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ3600000000000000000000000000000000000000000000
χ1284-4-4-444-44-4400004-4−1+5−1−51−5−1+51+5−1−51−51−51+51+5−1+51−5−1−51+5−1+5−1−50000000000000000001−5−1+5−1+51−51+5−1−5−1−51+5000000000000000000000000−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ3600000000000000000000000000000000000000000000
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χ1304-4-4-444-44-4400004-4−1−5−1+51+5−1−51−5−1+51+51+51−51−5−1−51+5−1+51−5−1−5−1+50000000000000000001+5−1−5−1−51+51−5−1+5−1+51−50000000000000000000000002ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ2800000000000000000000000000000000000000000000
χ13188-8-8-888-800000000−2+25−2−25−2+25−2+25−2−25−2−252−25−2+252+25−2−252−252−252+252+252−252+25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13288-8-8-888-800000000−2−25−2+25−2−25−2−25−2+25−2+252+25−2−252−25−2+252+252+252−252−252+252−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1338-8-88-8-88800000000−2+25−2−252−252−252+252+252−25−2+252+25−2−25−2+25−2+25−2−25−2−252−252+25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1348-8-88-8-88800000000−2−25−2+252+252+252−252−252+25−2−252−25−2+25−2−25−2−25−2+25−2+252+252−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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