Finite Group Databasebeta

← Group #11995863

Character table — Group #11995863

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119
size1111222222222222222222222222444444444444444444444448888888888888888888888888888888888888888881616161616161616161620202020404040404040404040408080
order1222222222445510101010101010101010101010104444444101010101010101020202020202020204488882020202020202020202020202020202020202020404040404040404040404040404040404420202020202020204444444444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111111-1-1-1-111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ6111111111111111111111111111111-1-1-1-111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ7111111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-111
χ8111111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-11111-1-1
χ9111111-1-1-1-1-1-111111111111111111-1ii−i−i1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−iii−i−i1111iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1-11111-1-1-1-1ii−i−i1-11-1i−i11-1-1i−i
χ10111111-1-1-1-1-1-111111111111111111-1ii−i−i1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−iii−i−i1111iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1-11111-1-1-1-1−i−iii-11-11−ii-1-111−ii
χ11111111-1-1-1-1-1-111111111111111111-1ii−i−i1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−i−i−iii1111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-11-1-1-1-11111ii−i−i1-11-1i−i-1-111−ii
χ12111111-1-1-1-1-1-111111111111111111-1ii−i−i1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−i−i−iii1111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-11-1-1-1-11111−i−iii-11-11−ii11-1-1i−i
χ13111111-1-1-1-1-1-111111111111111111-1−i−iii1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−iiii−i−i1111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-11-1-1-1-11111ii−i−i-11-11i−i11-1-1−ii
χ14111111-1-1-1-1-1-111111111111111111-1−i−iii1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−iiii−i−i1111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-11-1-1-1-11111−i−iii1-11-1−ii-1-111i−i
χ15111111-1-1-1-1-1-111111111111111111-1−i−iii1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−i−iii1111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii1-11111-1-1-1-1ii−i−i-11-11i−i-1-111i−i
χ16111111-1-1-1-1-1-111111111111111111-1−i−iii1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−i−iii1111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii1-11111-1-1-1-1−i−iii1-11-1−ii11-1-1−ii
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+52−1−522222222−1+52−1+52−1+52−1−52−1−52−1−52−1+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+52−1−52−1−520000000000000000
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+52−1−522222222−1+52−1+52−1+52−1−52−1−52−1−52−1+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+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+52-2-21−521−521+521+521−521−521+521+520000000000000000
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+52−1−5222-2-2-2-22−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-22222−1+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+52−1−52−1−52−1−52−1−52-2-21−521−521+521+521−521−521+521+520000000000000000
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+52−1−5222-2-2-2-22−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2−1+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+521−521−521−521−521+521+521+521+5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
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+522222222−1−52−1−52−1−52−1+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+520000000000000000
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+522222222−1−52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+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+521−521−521−521−52-2-21+521+521−521−521+521+521−521−520000000000000000
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+5222-2-2-2-22−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-22222−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521+521−521−521+521+521−521−520000000000000000
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+5222-2-2-2-22−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ252222222222-2-22222222222222222-2-20000-222222222-2-2-2-2-2-2-2-2000000-2-2-2-200000000000000000000000000000000000000000022220000-2-2000000
χ262222222222-2-22222222222222222-2-20000-222222222-2-2-2-2-2-2-2-2000000-2-2-2-2000000000000000000000000000000000000000000-2-2-2-2000022000000
χ27222222-2-2-2-2222222222222222222-220000-2-2-2-2-2-2-2-2-222222222000000-2-2-2-20000000000000000000000000000000000000000002i2i−2i−2i0000−2i2i000000
χ28222222-2-2-2-2222222222222222222-220000-2-2-2-2-2-2-2-2-222222222000000-2-2-2-2000000000000000000000000000000000000000000−2i−2i2i2i00002i−2i000000
χ29222222-2-2-2-2-2-2−1+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+52−1−522-22i2i−2i−2i21−521−521−521+521+521+521−521+521−521−521+521+521−521−521+521+522i−2i2i2i−2i−2i−1+52−1+52−1−52−1−52−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ142-2−1+52−1+52−1−52−1−521−521−521+521+520000000000000000
χ30222222-2-2-2-2-2-2−1+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+52−1−522-22i2i−2i−2i21−521−521−521+521+521+521−521+521−521−521+521+521−521−521+521+522i−2i−2i−2i2i2i−1+52−1+52−1−52−1−52−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14-221−521−521+521+52−1+52−1+52−1−52−1−520000000000000000
χ31222222-2-2-2-2-2-2−1+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+52−1−522-2−2i−2i2i2i21−521−521−521+521+521+521−521+521−521−521+521+521−521−521+521+52−2i2i2i2i−2i−2i−1+52−1+52−1−52−1−52ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14-221−521−521+521+52−1+52−1+52−1−52−1−520000000000000000
χ32222222-2-2-2-2-2-2−1+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+52−1−522-2−2i−2i2i2i21−521−521−521+521+521+521−521+521−521−521+521+521−521−521+521+52−2i2i−2i−2i2i2i−1+52−1+52−1−52−1−52ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ142-2−1+52−1+52−1−52−1−521−521−521+521+520000000000000000
χ33222222-2-2-2-2-2-2−1−52−1+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+522-22i2i−2i−2i21+521+521+521−521−521−521+521−521+521+521−521−521+521+521−521−522i−2i2i2i−2i−2i−1−52−1−52−1+52−1+52−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ382-2−1−52−1−52−1+52−1+521+521+521−521−520000000000000000
χ34222222-2-2-2-2-2-2−1−52−1+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+522-22i2i−2i−2i21+521+521+521−521−521−521+521−521+521+521−521−521+521+521−521−522i−2i−2i−2i2i2i−1−52−1−52−1+52−1+52−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38-221+521+521−521−52−1−52−1−52−1+52−1+520000000000000000
χ35222222-2-2-2-2-2-2−1−52−1+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+522-2−2i−2i2i2i21+521+521+521−521−521−521+521−521+521+521−521−521+521+521−521−52−2i2i2i2i−2i−2i−1−52−1−52−1+52−1+52ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38-221+521+521−521−52−1−52−1−52−1+52−1+520000000000000000
χ36222222-2-2-2-2-2-2−1−52−1+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+522-2−2i−2i2i2i21+521+521+521−521−521−521+521−521+521+521−521−521+521+521−521−52−2i2i−2i−2i2i2i−1−52−1−52−1+52−1+52ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ382-2−1−52−1−52−1+52−1+521+521+521−521−520000000000000000
χ372222-2-22-2-2222222-2-2-2-22-2-2-2-22222-2-20000222-222-2-2-2-2-2-2-222220000002-22-200000000000000000000000000000000000000000000002-2-2200000000
χ382222-2-22-2-2222222-2-2-2-22-2-2-2-22222-2-20000222-222-2-2-2-2-2-2-222220000002-22-20000000000000000000000000000000000000000000000-222-200000000
χ392222-2-22-2-22-2-2222-2-2-2-22-2-2-2-22222222i2i−2i−2i-222-222-2-2-22222-2-2-2-2−2i2i0000-22-222i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000
χ402222-2-22-2-22-2-2222-2-2-2-22-2-2-2-2222222−2i−2i2i2i-222-222-2-2-22222-2-2-2-22i−2i0000-22-22−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000
χ412222-2-22-2-22-2-2−1+52−1−52−1+521−521−521−521−52−1−521+521+521+521+52−1+52−1−52−1+52−1−52222i2i−2i−2i-2−1+52−1+521−52−1−52−1−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+52−2i2i00001−52−1+521+52−1−52−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ1400ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000000000
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χ432222-2-22-2-22-2-2−1+52−1−52−1+521−521−521−521−52−1−521+521+521+521+52−1+52−1−52−1+52−1−5222−2i−2i2i2i-2−1+52−1+521−52−1−52−1−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+522i−2i00001−52−1+521+52−1−52ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ1400−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000000000
χ442222-2-22-2-22-2-2−1+52−1−52−1+521−521−521−521−52−1−521+521+521+521+52−1+52−1−52−1+52−1−5222−2i−2i2i2i-2−1+52−1+521−52−1−52−1−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+522i−2i00001−52−1+521+52−1−52ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ1400ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000000000
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χ462222-2-22-2-22-2-2−1−52−1+52−1−521+521+521+521+52−1+521−521−521−521−52−1−52−1+52−1−52−1+52222i2i−2i−2i-2−1−52−1−521+52−1+52−1+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−52−2i2i00001+52−1−521−52−1+52−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ3800−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000000000000
χ472222-2-22-2-22-2-2−1−52−1+52−1−521+521+521+521+52−1+521−521−521−521−52−1−52−1+52−1−52−1+5222−2i−2i2i2i-2−1−52−1−521+52−1+52−1+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−522i−2i00001+52−1−521−52−1+52ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ3800−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000000000000
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χ1074-44-4000000−4i4i−1+5−1−51−52ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ28−2ζ12+2ζ281+5−2ζ4+2ζ362ζ4−2ζ36−2ζ4+2ζ362ζ4−2ζ36−1+5−1−51−51+5002−2i−2+2i2+2i−2−2i0000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ140000000000−ζ12+ζ22−ζ28+ζ38ζ12−ζ22+ζ28−ζ38−ζ12+ζ22+ζ28−ζ38ζ12−ζ22−ζ28+ζ38−ζ4+ζ6+ζ14−ζ36ζ4−ζ6−ζ14+ζ36−ζ4−ζ6+ζ14+ζ36ζ4+ζ6−ζ14−ζ36ζ12+ζ22−ζ28−ζ38−ζ12−ζ22+ζ28+ζ38−ζ12−ζ22−ζ28−ζ38ζ12+ζ22+ζ28+ζ38−ζ4+ζ6−ζ14+ζ36ζ4−ζ6+ζ14−ζ36−ζ4−ζ6−ζ14−ζ36ζ4+ζ6+ζ14+ζ36000000000000000000000000000000000000000000
χ1084-44-4000000−4i4i−1+5−1−51−52ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ28−2ζ12+2ζ281+5−2ζ4+2ζ362ζ4−2ζ36−2ζ4+2ζ362ζ4−2ζ36−1+5−1−51−51+500−2+2i2−2i−2−2i2+2i0000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ140000000000ζ12−ζ22+ζ28−ζ38−ζ12+ζ22−ζ28+ζ38ζ12−ζ22−ζ28+ζ38−ζ12+ζ22+ζ28−ζ38ζ4−ζ6−ζ14+ζ36−ζ4+ζ6+ζ14−ζ36ζ4+ζ6−ζ14−ζ36−ζ4−ζ6+ζ14+ζ36−ζ12−ζ22+ζ28+ζ38ζ12+ζ22−ζ28−ζ38ζ12+ζ22+ζ28+ζ38−ζ12−ζ22−ζ28−ζ38ζ4−ζ6+ζ14−ζ36−ζ4+ζ6−ζ14+ζ36ζ4+ζ6+ζ14+ζ36−ζ4−ζ6−ζ14−ζ36000000000000000000000000000000000000000000
χ1094-44-4000000−4i4i−1+5−1−51−5−2ζ12+2ζ282ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ281+52ζ4−2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ4+2ζ36−1+5−1−51−51+5002−2i−2+2i2+2i−2−2i000000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ140000000000−ζ12+ζ22−ζ28+ζ38ζ12−ζ22+ζ28−ζ38ζ12−ζ22−ζ28+ζ38−ζ12+ζ22+ζ28−ζ38−ζ4+ζ6+ζ14−ζ36ζ4−ζ6−ζ14+ζ36ζ4+ζ6−ζ14−ζ36−ζ4−ζ6+ζ14+ζ36−ζ12−ζ22+ζ28+ζ38ζ12+ζ22−ζ28−ζ38−ζ12−ζ22−ζ28−ζ38ζ12+ζ22+ζ28+ζ38ζ4−ζ6+ζ14−ζ36−ζ4+ζ6−ζ14+ζ36−ζ4−ζ6−ζ14−ζ36ζ4+ζ6+ζ14+ζ36000000000000000000000000000000000000000000
χ1104-44-4000000−4i4i−1+5−1−51−5−2ζ12+2ζ282ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ281+52ζ4−2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ4+2ζ36−1+5−1−51−51+500−2+2i2−2i−2−2i2+2i000000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ140000000000ζ12−ζ22+ζ28−ζ38−ζ12+ζ22−ζ28+ζ38−ζ12+ζ22+ζ28−ζ38ζ12−ζ22−ζ28+ζ38ζ4−ζ6−ζ14+ζ36−ζ4+ζ6+ζ14−ζ36−ζ4−ζ6+ζ14+ζ36ζ4+ζ6−ζ14−ζ36ζ12+ζ22−ζ28−ζ38−ζ12−ζ22+ζ28+ζ38ζ12+ζ22+ζ28+ζ38−ζ12−ζ22−ζ28−ζ38−ζ4+ζ6−ζ14+ζ36ζ4−ζ6+ζ14−ζ36ζ4+ζ6+ζ14+ζ36−ζ4−ζ6−ζ14−ζ36000000000000000000000000000000000000000000
χ1114-44-4000000−4i4i−1−5−1+51+5−2ζ4+2ζ362ζ4−2ζ36−2ζ4+2ζ362ζ4−2ζ361−5−2ζ12+2ζ282ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ28−1−5−1+51+51−5002−2i−2+2i2+2i−2−2i0000000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ380000000000−ζ4+ζ6+ζ14−ζ36ζ4−ζ6−ζ14+ζ36ζ4+ζ6−ζ14−ζ36−ζ4−ζ6+ζ14+ζ36−ζ12+ζ22−ζ28+ζ38ζ12−ζ22+ζ28−ζ38−ζ12+ζ22+ζ28−ζ38ζ12−ζ22−ζ28+ζ38−ζ4+ζ6−ζ14+ζ36ζ4−ζ6+ζ14−ζ36−ζ4−ζ6−ζ14−ζ36ζ4+ζ6+ζ14+ζ36−ζ12−ζ22+ζ28+ζ38ζ12+ζ22−ζ28−ζ38−ζ12−ζ22−ζ28−ζ38ζ12+ζ22+ζ28+ζ38000000000000000000000000000000000000000000
χ1124-44-4000000−4i4i−1−5−1+51+5−2ζ4+2ζ362ζ4−2ζ36−2ζ4+2ζ362ζ4−2ζ361−5−2ζ12+2ζ282ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ28−1−5−1+51+51−500−2+2i2−2i−2−2i2+2i0000000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ380000000000ζ4−ζ6−ζ14+ζ36−ζ4+ζ6+ζ14−ζ36−ζ4−ζ6+ζ14+ζ36ζ4+ζ6−ζ14−ζ36ζ12−ζ22+ζ28−ζ38−ζ12+ζ22−ζ28+ζ38ζ12−ζ22−ζ28+ζ38−ζ12+ζ22+ζ28−ζ38ζ4−ζ6+ζ14−ζ36−ζ4+ζ6−ζ14+ζ36ζ4+ζ6+ζ14+ζ36−ζ4−ζ6−ζ14−ζ36ζ12+ζ22−ζ28−ζ38−ζ12−ζ22+ζ28+ζ38ζ12+ζ22+ζ28+ζ38−ζ12−ζ22−ζ28−ζ38000000000000000000000000000000000000000000
χ1134-44-4000000−4i4i−1−5−1+51+52ζ4−2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ4+2ζ361−52ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ28−2ζ12+2ζ28−1−5−1+51+51−5002−2i−2+2i2+2i−2−2i000000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ380000000000−ζ4+ζ6+ζ14−ζ36ζ4−ζ6−ζ14+ζ36−ζ4−ζ6+ζ14+ζ36ζ4+ζ6−ζ14−ζ36−ζ12+ζ22−ζ28+ζ38ζ12−ζ22+ζ28−ζ38ζ12−ζ22−ζ28+ζ38−ζ12+ζ22+ζ28−ζ38ζ4−ζ6+ζ14−ζ36−ζ4+ζ6−ζ14+ζ36−ζ4−ζ6−ζ14−ζ36ζ4+ζ6+ζ14+ζ36ζ12+ζ22−ζ28−ζ38−ζ12−ζ22+ζ28+ζ38−ζ12−ζ22−ζ28−ζ38ζ12+ζ22+ζ28+ζ38000000000000000000000000000000000000000000
χ1144-44-4000000−4i4i−1−5−1+51+52ζ4−2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ4+2ζ361−52ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ28−2ζ12+2ζ28−1−5−1+51+51−500−2+2i2−2i−2−2i2+2i000000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ380000000000ζ4−ζ6−ζ14+ζ36−ζ4+ζ6+ζ14−ζ36ζ4+ζ6−ζ14−ζ36−ζ4−ζ6+ζ14+ζ36ζ12−ζ22+ζ28−ζ38−ζ12+ζ22−ζ28+ζ38−ζ12+ζ22+ζ28−ζ38ζ12−ζ22−ζ28+ζ38−ζ4+ζ6−ζ14+ζ36ζ4−ζ6+ζ14−ζ36ζ4+ζ6+ζ14+ζ36−ζ4−ζ6−ζ14−ζ36−ζ12−ζ22+ζ28+ζ38ζ12+ζ22−ζ28−ζ38ζ12+ζ22+ζ28+ζ38−ζ12−ζ22−ζ28−ζ38000000000000000000000000000000000000000000
χ1158-8-880000000088-80000-80000-8-8880000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-8800000000−2+25−2−252−254ζ12−4ζ28−4ζ12+4ζ28−4ζ12+4ζ284ζ12−4ζ282+25−4ζ4+4ζ364ζ4−4ζ364ζ4−4ζ36−4ζ4+4ζ362−252+25−2+25−2−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1178-8-8800000000−2+25−2−252−25−4ζ12+4ζ284ζ12−4ζ284ζ12−4ζ28−4ζ12+4ζ282+254ζ4−4ζ36−4ζ4+4ζ36−4ζ4+4ζ364ζ4−4ζ362−252+25−2+25−2−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1188-8-8800000000−2−25−2+252+25−4ζ4+4ζ364ζ4−4ζ364ζ4−4ζ36−4ζ4+4ζ362−25−4ζ12+4ζ284ζ12−4ζ284ζ12−4ζ28−4ζ12+4ζ282+252−25−2−25−2+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-8-8800000000−2−25−2+252+254ζ4−4ζ36−4ζ4+4ζ36−4ζ4+4ζ364ζ4−4ζ362−254ζ12−4ζ28−4ζ12+4ζ28−4ζ12+4ζ284ζ12−4ζ282+252−25−2−25−2+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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