Finite Group Databasebeta

← Group #12252440

Character table — Group #12252440

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size1111222222222222222222444444444444444444444444444444555588888888888888888888888888881010101010101010101016161616161616161616161616161616202020202020202020204040404040404040
order12442444445588881010202020202444888888101020202020202020202020404040404040404088881010161616161616161620202020202040404040404040404040404022448888888080808080808080808080808080808024444488881616161616161616
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
χ51111111111111111111111-1-1-1-1-1-111-1-1111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111-1-1-1-1-1-111-1-1111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-111-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111
χ81111111111111111111111-1-1-1-1-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111111111-1-1-1-1
χ9111111111111-1-1-1-11111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111ii−i−iii−i−i111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1-1-11111ii−i−iii−i−i
χ10111111111111-1-1-1-11111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111−i−iii−i−iii111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1-1-11111−i−iii−i−iii
χ11111111111111-1-1-1-11111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111ii−i−iii−i−i111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i111111-1-1-1-1−i−iii−i−iii
χ12111111111111-1-1-1-11111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111−i−iii−i−iii111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii111111-1-1-1-1ii−i−iii−i−i
χ13111111111111-1-1-1-1111111-1-1-1-111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1ii−i−i−i−iii-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111iiii−i−i−i−i−i−i−i−iiiii11-1-111-1-1-1-1ii−i−i−i−iii
χ14111111111111-1-1-1-1111111-1-1-1-111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1−i−iiiii−i−i-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111−i−i−i−iiiiiiiii−i−i−i−i11-1-111-1-1-1-1−i−iiiii−i−i
χ15111111111111-1-1-1-1111111-1-1-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i−i−iii-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-111-1-11111−i−iiiii−i−i
χ16111111111111-1-1-1-1111111-1-1-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iiiii−i−i-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-11111ii−i−i−i−iii
χ1711111-1-1-1-1111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111111111111-11-11-11-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-111-1-111-1-111-1-1-1-111-1-11-11-11-11-1
χ1811111-1-1-1-1111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-11-11-11-1111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-111-1-1-11-11-11-11
χ1911111-1-1-1-1111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1111-11-11-11-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-1-1-11111-1-111-11-11-11-11
χ2011111-1-1-1-1111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-111-11-11-11-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-111-1-11111-1-1111-11-11-11-1
χ2111111-1-1-1-11111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-11-11-1-11-11-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-111-1-111-1-1-1-111-1-1111-11-1-11-11
χ2211111-1-1-1-11111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-11-111-11-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-111-1-111-11-111-11-1
χ2311111-1-1-1-11111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11-11-1-11-11-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1111111-1-111-1-1-11-111-11-1
χ2411111-1-1-1-11111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-11-111-11-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-11111-1-111-1-11111-1-111-1-11-11-1-11-11
χ2511111-1-1-1-1111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111i−i−iii−i−ii11-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1ii−i−i−i−iiiii−i−i−i−iii-1-1111111-1-1i−i−iii−i−ii
χ2611111-1-1-1-1111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111−iii−i−iii−i11-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1−i−iiiii−i−i−i−iiiii−i−i-1-1111111-1-1−iii−i−iii−i
χ2711111-1-1-1-1111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111i−i−iii−i−ii11-1-1-1-1-1-1-1-1111111111111-1-11111ii−i−i−i−iiiii−i−i−i−iii11-1-1-1-1-1-111−iii−i−iii−i
χ2811111-1-1-1-1111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111−iii−i−iii−i11-1-1-1-1-1-1-1-1111111111111-1-11111−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-1-1-111i−i−iii−i−ii
χ2911111-1-1-1-1111-1-1-1-1111111-1-1111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1i−i−ii−iii−i-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i1111-1-1-1-111i−i−ii−iii−i
χ3011111-1-1-1-1111-1-1-1-1111111-1-1111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1−iii−ii−i−ii-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii1111-1-1-1-111−iii−ii−i−ii
χ3111111-1-1-1-1111-1-1-1-1111111-1-1111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−i−ii−iii−i-1-1111111111111-1-1-1-11111-1-11111ii−i−i−i−iii−i−iiiii−i−i-1-1-1-11111-1-1−iii−ii−i−ii
χ3211111-1-1-1-1111-1-1-1-1111111-1-1111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−iii−ii−i−ii-1-1111111111111-1-1-1-11111-1-11111−i−iiiii−i−iii−i−i−i−iii-1-1-1-11111-1-1i−i−ii−iii−i
χ332222222222−1+52−1−522222−1+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
χ342222222222−1+52−1−522222−1+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
χ352222222222−1+52−1−522222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-222-2-2−1+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+52−1−52−1−52−1−52−1−5200001−521+522222-2-2-2-21−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+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
χ362222222222−1+52−1−522222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-222-2-2−1+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+52−1−52−1−52−1−52−1−5200001−521+52-2-2-2-222221−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+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
χ372222222222−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−522222-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+520000−1+52−1−522i2i−2i−2i2i2i−2i−2i−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+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
χ382222222222−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−522222-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+520000−1+52−1−52−2i−2i2i2i−2i−2i2i2i−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+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
χ392222222222−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-222-2-222−1+52−1−52−1+52−1+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+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14000000000000000000
χ402222222222−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-222-2-222−1+52−1−52−1+52−1+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+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14000000000000000000
χ412222222222−1−52−1+522222−1−52−1+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
χ422222222222−1−52−1+522222−1−52−1+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
χ432222222222−1−52−1+522222−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-222-2-2−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200001+521−522222-2-2-2-21+521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+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
χ442222222222−1−52−1+522222−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-222-2-2−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200001+521−52-2-2-2-222221+521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+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
χ452222222222−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+522222-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−520000−1−52−1+522i2i−2i−2i2i2i−2i−2i−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−520000000000−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38000000000000000000
χ462222222222−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+522222-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−520000−1−52−1+52−2i−2i2i2i−2i−2i2i2i−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−520000000000ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38000000000000000000
χ472222222222−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-222-2-222−1−52−1+52−1−52−1−52−1−52−1−52−1+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+521+521+521−521−52−1−52−1−52−1+52−1+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
χ482222222222−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-222-2-222−1−52−1+52−1−52−1−52−1−52−1−52−1+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+521+521+521−521−52−1−52−1−52−1+52−1+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
χ4922222-2-2-2-22−1+52−1−522222−1+52−1−52−1+52−1+52−1−52−1−5222-2-222-2-2-2-2−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000−1+52−1−522-22-22-22-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+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
χ5022222-2-2-2-22−1+52−1−522222−1+52−1−52−1+52−1+52−1−52−1−5222-2-222-2-2-2-2−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000−1+52−1−52-22-22-22-22−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+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
χ5122222-2-2-2-22−1+52−1−522222−1+52−1−52−1+52−1+52−1−52−1−52-2-222-2-2-2-222−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200001−521+522-22-2-22-221−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000000000−1+52−1−521−521+52−1+52−1−521−521+521−521+52−1+52−1−521−521+52−1+52−1−52000000000000000000
χ5222222-2-2-2-22−1+52−1−522222−1+52−1−52−1+52−1+52−1−52−1−52-2-222-2-2-2-222−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200001−521+52-22-222-22-21−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000001−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+52000000000000000000
χ5322222-2-2-2-22−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−5222-2-2-2-22222−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1−521−521−521−521−521+521+521+521+520000−1+52−1−522i−2i−2i2i2i−2i−2i2i−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14000000000000000000
χ5422222-2-2-2-22−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−5222-2-2-2-22222−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1−521−521−521−521−521+521+521+521+520000−1+52−1−52−2i2i2i−2i−2i2i2i−2i−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14000000000000000000
χ5522222-2-2-2-22−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52-2-2222222-2-2−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1−521−521−521−521−521+521+521+521+5200001−521+522i−2i−2i2i−2i2i2i−2i1−521+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+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
χ5622222-2-2-2-22−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52-2-2222222-2-2−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1−521−521−521−521−521+521+521+521+5200001−521+52−2i2i2i−2i2i−2i−2i2i1−521+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+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
χ5722222-2-2-2-22−1−52−1+522222−1−52−1+52−1−52−1−52−1+52−1+5222-2-222-2-2-2-2−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000−1−52−1+522-22-22-22-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+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
χ5822222-2-2-2-22−1−52−1+522222−1−52−1+52−1−52−1−52−1+52−1+5222-2-222-2-2-2-2−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000−1−52−1+52-22-22-22-22−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+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
χ5922222-2-2-2-22−1−52−1+522222−1−52−1+52−1−52−1−52−1+52−1+52-2-222-2-2-2-222−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200001+521−522-22-2-22-221+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+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
χ6022222-2-2-2-22−1−52−1+522222−1−52−1+52−1−52−1−52−1+52−1+52-2-222-2-2-2-222−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200001+521−52-22-222-22-21+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+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
χ6122222-2-2-2-22−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+5222-2-2-2-22222−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1+521+521+521+521+521−521−521−521−520000−1−52−1+522i−2i−2i2i2i−2i−2i2i−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+520000000000−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38000000000000000000
χ6222222-2-2-2-22−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+5222-2-2-2-22222−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1+521+521+521+521+521−521−521−521−520000−1−52−1+52−2i2i2i−2i−2i2i2i−2i−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+520000000000ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38000000000000000000
χ6322222-2-2-2-22−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52-2-2222222-2-2−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1+521+521+521+521+521−521−521−521−5200001+521−522i−2i−2i2i−2i2i2i−2i1+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+521−521−520000000000−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38000000000000000000
χ6422222-2-2-2-22−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52-2-2222222-2-2−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1+521+521+521+521+521−521−521−521−5200001+521−52−2i2i2i−2i2i−2i−2i2i1+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+521−521−520000000000ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38000000000000000000
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χ1218-88i−8i04+4i−4−4i4−4i−4+4i0−2+25−2−2500002−252+25−4ζ22−4ζ384ζ22+4ζ38−4ζ6−4ζ144ζ6+4ζ14000000000000−2ζ12−2ζ22−2ζ28−2ζ382ζ12+2ζ22+2ζ28+2ζ38−2ζ12+2ζ22−2ζ28+2ζ382ζ12−2ζ22+2ζ28−2ζ38−2ζ4−2ζ6−2ζ14−2ζ362ζ4+2ζ6+2ζ14+2ζ36−2ζ4+2ζ6+2ζ14−2ζ362ζ4−2ζ6−2ζ14+2ζ3600000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1238-88i−8i0−4−4i4+4i−4+4i4−4i0−2+25−2−2500002−252+25−4ζ22−4ζ384ζ22+4ζ38−4ζ6−4ζ144ζ6+4ζ140000000000002ζ12+2ζ22+2ζ28+2ζ38−2ζ12−2ζ22−2ζ28−2ζ382ζ12−2ζ22+2ζ28−2ζ38−2ζ12+2ζ22−2ζ28+2ζ382ζ4+2ζ6+2ζ14+2ζ36−2ζ4−2ζ6−2ζ14−2ζ362ζ4−2ζ6−2ζ14+2ζ36−2ζ4+2ζ6+2ζ14−2ζ3600000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1278-8−8i8i0−4+4i4−4i−4−4i4+4i0−2+25−2−2500002−252+254ζ22+4ζ38−4ζ22−4ζ384ζ6+4ζ14−4ζ6−4ζ140000000000002ζ12−2ζ22+2ζ28−2ζ38−2ζ12+2ζ22−2ζ28+2ζ382ζ12+2ζ22+2ζ28+2ζ38−2ζ12−2ζ22−2ζ28−2ζ382ζ4−2ζ6−2ζ14+2ζ36−2ζ4+2ζ6+2ζ14−2ζ362ζ4+2ζ6+2ζ14+2ζ36−2ζ4−2ζ6−2ζ14−2ζ3600000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1288-8−8i8i0−4+4i4−4i−4−4i4+4i0−2−25−2+2500002+252−254ζ6+4ζ14−4ζ6−4ζ144ζ22+4ζ38−4ζ22−4ζ380000000000002ζ4−2ζ6−2ζ14+2ζ36−2ζ4+2ζ6+2ζ14−2ζ362ζ4+2ζ6+2ζ14+2ζ36−2ζ4−2ζ6−2ζ14−2ζ362ζ12−2ζ22+2ζ28−2ζ38−2ζ12+2ζ22−2ζ28+2ζ382ζ12+2ζ22+2ζ28+2ζ38−2ζ12−2ζ22−2ζ28−2ζ3800000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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