Finite Group Databasebeta

← Group #12252442

Character table — Group #12252442

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size1111222222222222222222444444444444444444444444444444555588888888888888888888888888881010101010101010101016161616161616161616161616161616202020202020202020204040404040404040
order12442455888888881010202020202444448888101020204040404040404040404040404040404088881010161616161616161620202020202020202020404040404040404022444444888080808080808080808080808080808024448888881616161616161616
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-111-1-1-1-1-1-1111111111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ61111111111111111111111-1-111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-11111
χ71111111111111111111111-1-111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111
χ81111111111111111111111-1-111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1111111-1-1-1-1
χ9111111111111-1-1-1-111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111ii−i−iii−i−i11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111iiii−i−i−i−iiiii−i−i−i−i-1-11111-1-1-1-1ii−i−iii−i−i
χ10111111111111-1-1-1-111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111−i−iii−i−iii11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111−i−i−i−iiiii−i−i−i−iiiii-1-11111-1-1-1-1−i−iii−i−iii
χ11111111111111-1-1-1-111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111ii−i−iii−i−i11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-11111−i−iii−i−iii
χ12111111111111-1-1-1-111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111−i−iii−i−iii11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-11111ii−i−iii−i−i
χ13111111111111-1-1-1-1111111-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1ii−i−i−i−iii-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-1-1-111ii−i−i−i−iii
χ14111111111111-1-1-1-1111111-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1−i−iiiii−i−i-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-1-1-111−i−iiiii−i−i
χ15111111111111-1-1-1-1111111-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i−i−iii-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1111111-1-1−i−iiiii−i−i
χ16111111111111-1-1-1-1111111-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iiiii−i−i-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1111111-1-1ii−i−i−i−iii
χ1711111111-1-1-1-1111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111111111111-11-11-11-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-1-111-1-111-1-1-1-11-11-11-11-1
χ1811111111-1-1-1-1111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111111111-11-11-11-1111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-11111-1-111-1-1-1-1-11-11-11-11
χ1911111111-1-1-1-1111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111-11-11-11-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-111-1-1-1-111-1-11111-11-11-11-11
χ2011111111-1-1-1-1111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-11-11-11-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-111111-11-11-11-1
χ2111111111-1-1-1-11111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1111111111111-1-11-11-1-11-11-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-111-1-111-1-111-1-1-1-1111-11-1-11-11
χ2211111111-1-1-1-11111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-11-111-11-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-111-1-11111-1-111-1-1-1-111-1-1-1-111-11-111-11-1
χ2311111111-1-1-1-11111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-11-1-11-11-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-111-1-11111-1-11111-1-1-11-111-11-1
χ2411111111-1-1-1-11111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11-111-11-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-111-1-111-1-11111-1-11-11-1-11-11
χ2511111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111i−i−iii−i−ii1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii-1-1-1-1111111i−i−iii−i−ii
χ2611111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−iii−i−iii−i1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i-1-1-1-1111111−iii−i−iii−i
χ2711111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111i−i−iii−i−ii1111111111-1-1-1-1-1-1-1-111111111-1-1ii−i−i−i−iiiii−i−i−i−iii1111-1-1-1-1-1-1−iii−i−iii−i
χ2811111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−iii−i−iii−i1111111111-1-1-1-1-1-1-1-111111111-1-1−i−iiiii−i−i−i−iiiii−i−i1111-1-1-1-1-1-1i−i−iii−i−ii
χ2911111111-1-1-1-1-1-1-1-1111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1i−i−ii−iii−i-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i1111-1-111-1-1i−i−ii−iii−i
χ3011111111-1-1-1-1-1-1-1-1111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1−iii−ii−i−ii-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111−i−iiiii−i−iii−i−i−i−iii1111-1-111-1-1−iii−ii−i−ii
χ3111111111-1-1-1-1-1-1-1-1111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−i−ii−iii−i-1-11111-1-1-1-11111111111111111-1-1ii−i−i−i−iii−i−iiiii−i−i-1-1-1-111-1-111−iii−ii−i−ii
χ3211111111-1-1-1-1-1-1-1-1111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−iii−ii−i−ii-1-11111-1-1-1-11111111111111111-1-1−i−iiiii−i−iii−i−i−i−iii-1-1-1-111-1-111i−i−ii−iii−i
χ33222222−1+52−1−5222222222−1+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+52−1−52−1−52−1−52−1−520000−1+52−1−5222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000
χ34222222−1+52−1−5222222222−1+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+52−1−52−1−52−1−52−1−520000−1+52−1−52-2-2-2-2-2-2-2-2−1+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+52−1−52−1−5200000000001−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+52000000000000000000
χ35222222−1+52−1−5222222222−1+52−1−52−1+52−1+52−1−52−1−52-2-222-2-2-2-2-2-2−1+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+52−1−52−1−52−1−52−1−5200001−521+522222-2-2-2-21−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+520000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52000000000000000000
χ36222222−1+52−1−5222222222−1+52−1−52−1+52−1+52−1−52−1−52-2-222-2-2-2-2-2-2−1+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+52−1−52−1−52−1−52−1−5200001−521+52-2-2-2-222221−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+5200000000001−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000
χ37222222−1+52−1−522222-2-2-2-2−1+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+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+520000−1+52−1−522i2i−2i−2i2i2i−2i−2i−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000000000−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14000000000000000000
χ38222222−1+52−1−522222-2-2-2-2−1+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+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+520000−1+52−1−52−2i−2i2i2i−2i−2i2i2i−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000000000ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14000000000000000000
χ39222222−1+52−1−522222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-22222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+5200001−521+522i2i−2i−2i−2i−2i2i2i1−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000000000−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14000000000000000000
χ40222222−1+52−1−522222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-22222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+5200001−521+52−2i−2i2i2i2i2i−2i−2i1−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000000000ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14000000000000000000
χ41222222−1+52−1−52-2-2-2-22222−1+52−1−52−1+52−1+52−1−52−1−5222-2-2-2-222-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000−1+52−1−522-22-22-22-2−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+52000000000000000000
χ42222222−1+52−1−52-2-2-2-22222−1+52−1−52−1+52−1+52−1−52−1−5222-2-2-2-222-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000−1+52−1−52-22-22-22-22−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000001−521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−52000000000000000000
χ43222222−1+52−1−52-2-2-2-22222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-222-2-222−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200001−521+522-22-2-22-221−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000−1+52−1−521−521+52−1+52−1−521−521+521−521+52−1+52−1−521−521+52−1+52−1−52000000000000000000
χ44222222−1+52−1−52-2-2-2-22222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-222-2-222−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200001−521+52-22-222-22-21−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000001−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+52000000000000000000
χ45222222−1+52−1−52-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52222222-2-2-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+520000−1+52−1−522i−2i−2i2i2i−2i−2i2i−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+520000000000−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14000000000000000000
χ46222222−1+52−1−52-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52222222-2-2-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+520000−1+52−1−52−2i2i2i−2i−2i2i2i−2i−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+520000000000ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14000000000000000000
χ47222222−1+52−1−52-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52-2-222-2-22222−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5200001−521+522i−2i−2i2i−2i2i2i−2i1−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14000000000000000000
χ48222222−1+52−1−52-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52-2-222-2-22222−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5200001−521+52−2i2i2i−2i2i−2i−2i2i1−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14000000000000000000
χ49222222−1−52−1+5222222222−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000−1−52−1+5222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000
χ50222222−1−52−1+5222222222−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000−1−52−1+52-2-2-2-2-2-2-2-2−1−52−1+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+5200000000001+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−52000000000000000000
χ51222222−1−52−1+5222222222−1−52−1+52−1−52−1−52−1+52−1+52-2-222-2-2-2-2-2-2−1−52−1+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+5200001+521−522222-2-2-2-21+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−520000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52000000000000000000
χ52222222−1−52−1+5222222222−1−52−1+52−1−52−1−52−1+52−1+52-2-222-2-2-2-2-2-2−1−52−1+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+5200001+521−52-2-2-2-222221+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−5200000000001+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000
χ53222222−1−52−1+522222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+5222-2-2-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−520000−1−52−1+522i2i−2i−2i2i2i−2i−2i−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000000000−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38000000000000000000
χ54222222−1−52−1+522222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+5222-2-2-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−520000−1−52−1+52−2i−2i2i2i−2i−2i2i2i−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000000000ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38000000000000000000
χ55222222−1−52−1+522222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-22222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−5200001+521−522i2i−2i−2i−2i−2i2i2i1+521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000000000−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38000000000000000000
χ56222222−1−52−1+522222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-22222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−5200001+521−52−2i−2i2i2i2i2i−2i−2i1+521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000000000ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38000000000000000000
χ57222222−1−52−1+52-2-2-2-22222−1−52−1+52−1−52−1−52−1+52−1+5222-2-2-2-222-2-2−1−52−1+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+520000−1−52−1+522-22-22-22-2−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−52000000000000000000
χ58222222−1−52−1+52-2-2-2-22222−1−52−1+52−1−52−1−52−1+52−1+5222-2-2-2-222-2-2−1−52−1+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+520000−1−52−1+52-22-22-22-22−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000001+521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+52000000000000000000
χ59222222−1−52−1+52-2-2-2-22222−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-222-2-222−1−52−1+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+5200001+521−522-22-2-22-221+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+520000000000−1−52−1+521+521−52−1−52−1+521+521−521+521−52−1−52−1+521+521−52−1−52−1+52000000000000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.