Finite Group Databasebeta

← Group #12109614

Character table — Group #12109614

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size111111112222222222222222222244444444444488888888888888888888888888888888888816161616161616161616161616161616202020202020202020202020202020204040404040404040
order1222222244445510101010101010101010101010102244202020202020202044444444888810101010202020204040404040404040404040404040404020202020202020202020202020202020222244448888888844444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ4111111111111111111111111111111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111
χ51111111111111111111111111111111111111111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ61111111111111111111111111111111111111111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ91111111111111111111111111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-1-1-111
χ101111111111111111111111111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-11111-1-1
χ111111111111111111111111111111-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111111111-1-1-1-1
χ121111111111111111111111111111-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-11111
χ131111111111111111111111111111-1-1-1-111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111
χ141111111111111111111111111111-1-1-1-111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1
χ151111111111111111111111111111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-1-1-11111-1-1
χ161111111111111111111111111111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1111111-1-1-1-111
χ17111-11-1-1-1-1-111111111-1-111-1-1-1-1-1-11-11-111-1-1-1-111i−ii−ii−ii−i1-11-111-1-111-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i1-11-11-11-111-1-111-1-1i−ii−ii−ii−i
χ18111-11-1-1-1-1-111111111-1-111-1-1-1-1-1-11-11-111-1-1-1-111i−ii−ii−ii−i1-11-111-1-111-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i-11-11-11-11-1-111-1-111−ii−ii−ii−ii
χ19111-11-1-1-1-1-111111111-1-111-1-1-1-1-1-11-11-111-1-1-1-111i−i−iii−i−ii-11-1111-1-111-1-1-1-1-1-11111-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii1-11-11-11-1-1-111-1-111i−i−iii−i−ii
χ20111-11-1-1-1-1-111111111-1-111-1-1-1-1-1-11-11-111-1-1-1-111i−i−iii−i−ii-11-1111-1-111-1-1-1-1-1-11111-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii-11-11-11-1111-1-111-1-1−iii−i−iii−i
χ21111-11-1-1-1-1-111111111-1-111-1-1-1-1-1-11-11-111-1-1-1-111−iii−i−iii−i-11-1111-1-111-1-1-1-1-1-11111-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i1-11-11-11-1-1-111-1-111−iii−i−iii−i
χ22111-11-1-1-1-1-111111111-1-111-1-1-1-1-1-11-11-111-1-1-1-111−iii−i−iii−i-11-1111-1-111-1-1-1-1-1-11111-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i-11-11-11-1111-1-111-1-1i−i−iii−i−ii
χ23111-11-1-1-1-1-111111111-1-111-1-1-1-1-1-11-11-111-1-1-1-111−ii−ii−ii−ii1-11-111-1-111-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii1-11-11-11-111-1-111-1-1−ii−ii−ii−ii
χ24111-11-1-1-1-1-111111111-1-111-1-1-1-1-1-11-11-111-1-1-1-111−ii−ii−ii−ii1-11-111-1-111-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii-11-11-11-11-1-111-1-111i−ii−ii−ii−i
χ25111-11-1-1-1-1-111111111-1-111-1-1-1-1-1-1-11-1111-1-1-1-111i−ii−i−ii−ii1-1-11-1-111-1-1111111-1-1-1-1-1-1-1-11111ii−i−iii−i−i−i−iii−i−iii1-1-111-1-1111-1-1-1-111i−i−ii−iii−i
χ26111-11-1-1-1-1-111111111-1-111-1-1-1-1-1-1-11-1111-1-1-1-111i−ii−i−ii−ii1-1-11-1-111-1-1111111-1-1-1-1-1-1-1-11111ii−i−iii−i−i−i−iii−i−iii-111-1-111-1-1-11111-1-1−iii−ii−i−ii
χ27111-11-1-1-1-1-111111111-1-111-1-1-1-1-1-1-11-1111-1-1-1-111i−i−ii−iii−i-111-1-1-111-1-111-1-1-1-111111111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i1-1-111-1-11-1-11111-1-1i−ii−i−ii−ii
χ28111-11-1-1-1-1-111111111-1-111-1-1-1-1-1-1-11-1111-1-1-1-111i−i−ii−iii−i-111-1-1-111-1-111-1-1-1-111111111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i-111-1-111-111-1-1-1-111−ii−iii−ii−i
χ29111-11-1-1-1-1-111111111-1-111-1-1-1-1-1-1-11-1111-1-1-1-111−iii−ii−i−ii-111-1-1-111-1-111-1-1-1-111111111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii1-1-111-1-11-1-11111-1-1−ii−iii−ii−i
χ30111-11-1-1-1-1-111111111-1-111-1-1-1-1-1-1-11-1111-1-1-1-111−iii−ii−i−ii-111-1-1-111-1-111-1-1-1-111111111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii-111-1-111-111-1-1-1-111i−ii−i−ii−ii
χ31111-11-1-1-1-1-111111111-1-111-1-1-1-1-1-1-11-1111-1-1-1-111−ii−iii−ii−i1-1-11-1-111-1-1111111-1-1-1-1-1-1-1-11111−i−iii−i−iiiii−i−iii−i−i1-1-111-1-1111-1-1-1-111−iii−ii−i−ii
χ32111-11-1-1-1-1-111111111-1-111-1-1-1-1-1-1-11-1111-1-1-1-111−ii−iii−ii−i1-1-11-1-111-1-1111111-1-1-1-1-1-1-1-11111−i−iii−i−iiiii−i−iii−i−i-111-1-111-1-1-11111-1-1i−i−ii−iii−i
χ33222222222222−1+52−1−52−1+52−1+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+52−1−52222222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000000000
χ34222222222222−1+52−1−52−1+52−1+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+52−1−5222-2-222-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000000000
χ35222222222222−1+52−1−52−1+52−1+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+52−1−52-2-222-2-222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000000000
χ36222222222222−1+52−1−52−1+52−1+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+52−1−52-2-2-2-2-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+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+52000000000000000000000000
χ37222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−522222-2-2-2-222-2-21−521+521−521+521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+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+52000000000000000000000000
χ38222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−5222-2-2-2-222-2-2221−521+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+521−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000000000
χ39222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−52-2-22222-2-2-2-2221−521+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+52−1−52−1−521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000000000
χ40222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−52-2-2-2-2222222-2-21−521+521−521+521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+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+52−1−52000000000000000000000000
χ41222222222222−1−52−1+52−1−52−1−52−1+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+52222222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000000000
χ42222222222222−1−52−1+52−1−52−1−52−1+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+5222-2-222-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52000000000000000000000000
χ43222222222222−1−52−1+52−1−52−1−52−1+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+52-2-222-2-222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+52000000000000000000000000
χ44222222222222−1−52−1+52−1−52−1−52−1+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+52-2-2-2-2-2-2-2-22222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+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+521−52000000000000000000000000
χ45222222222222−1−52−1+52−1−52−1−52−1+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+522222-2-2-2-222-2-21+521−521+521−521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+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+521−52000000000000000000000000
χ46222222222222−1−52−1+52−1−52−1−52−1+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+5222-2-2-2-222-2-2221+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+521−521+521−521+521−52−1−52−1+52−1−52−1+52000000000000000000000000
χ47222222222222−1−52−1+52−1−52−1−52−1+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+52-2-22222-2-2-2-2221+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+521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−52000000000000000000000000
χ48222222222222−1−52−1+52−1−52−1−52−1+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+52-2-2-2-2222222-2-21+521−521+521−521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+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+52000000000000000000000000
χ4922222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-2-2-20000000000002222-2-2-2-20000000000000000000000000000000022-2-2-2-2220000000000000000
χ5022222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-2-2-20000000000002222-2-2-2-200000000000000000000000000000000-2-22222-2-20000000000000000
χ5122222222-2-2-2-22222222222222222-2-222-2-2-2-2-2-2-2-2000000000000-2-2-2-22222000000000000000000000000000000002222-2-2-2-20000000000000000
χ5222222222-2-2-2-22222222222222222-2-222-2-2-2-2-2-2-2-2000000000000-2-2-2-2222200000000000000000000000000000000-2-2-2-222220000000000000000
χ53222-22-2-2-222-2-2222222-2-222-2-2-2-2-2-22-2-22-2-22222-2-200000000000022-2-2-2-222000000000000000000000000000000002-2-22-222-20000000000000000
χ54222-22-2-2-222-2-2222222-2-222-2-2-2-2-2-22-2-22-2-22222-2-200000000000022-2-2-2-22200000000000000000000000000000000-222-22-2-220000000000000000
χ55222-22-2-2-222-2-2222222-2-222-2-2-2-2-2-2-222-2-2-22222-2-2000000000000-2-22222-2-2000000000000000000000000000000002-22-2-22-220000000000000000
χ56222-22-2-2-222-2-2222222-2-222-2-2-2-2-2-2-222-2-2-22222-2-2000000000000-2-22222-2-200000000000000000000000000000000-22-222-22-20000000000000000
χ57222-22-2-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−521−521+52−1+52−1−521−521−521+521+521−521+522-22-2−1+52−1−521−521−521+521+52−1+52−1−522i−2i2i−2i2i−2i2i−2i2-22-2−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14000000000000000000000000
χ58222-22-2-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−521−521+52−1+52−1−521−521−521+521+521−521+522-22-2−1+52−1−521−521−521+521+52−1+52−1−522i−2i−2i2i2i−2i−2i2i-22-22−1+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+52−1+52−1+52−1−52−1−52−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14000000000000000000000000
χ59222-22-2-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−521−521+52−1+52−1−521−521−521+521+521−521+522-22-2−1+52−1−521−521−521+521+52−1+52−1−52−2i2i2i−2i−2i2i2i−2i-22-22−1+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+52−1+52−1+52−1−52−1−52ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14000000000000000000000000
χ60222-22-2-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−521−521+52−1+52−1−521−521−521+521+521−521+522-22-2−1+52−1−521−521−521+521+52−1+52−1−52−2i2i−2i2i−2i2i−2i2i2-22-2−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14000000000000000000000000
χ61222-22-2-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−521−521+52−1+52−1−521−521−521+521+521−521+52-22-22−1+52−1−521−521−521+521+52−1+52−1−522i−2i2i−2i−2i2i−2i2i2-2-221−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14000000000000000000000000
χ62222-22-2-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−521−521+52−1+52−1−521−521−521+521+521−521+52-22-22−1+52−1−521−521−521+521+52−1+52−1−522i−2i−2i2i−2i2i2i−2i-222-21−521+52−1+52−1−521−521+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+52−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14000000000000000000000000
χ63222-22-2-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−521−521+52−1+52−1−521−521−521+521+521−521+52-22-22−1+52−1−521−521−521+521+52−1+52−1−52−2i2i2i−2i2i−2i−2i2i-222-21−521+52−1+52−1−521−521+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+52ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14000000000000000000000000
χ64222-22-2-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−521−521+52−1+52−1−521−521−521+521+521−521+52-22-22−1+52−1−521−521−521+521+52−1+52−1−52−2i2i−2i2i2i−2i2i−2i2-2-221−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14000000000000000000000000
χ65222-22-2-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+521+521−52−1−52−1+521+521+521−521−521+521−522-22-2−1−52−1+521+521+521−521−52−1−52−1+522i−2i2i−2i2i−2i2i−2i2-22-2−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38000000000000000000000000
χ66222-22-2-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+521+521−52−1−52−1+521+521+521−521−521+521−522-22-2−1−52−1+521+521+521−521−52−1−52−1+522i−2i−2i2i2i−2i−2i2i-22-22−1−52−1+521+521−52−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38000000000000000000000000
χ67222-22-2-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+521+521−52−1−52−1+521+521+521−521−521+521−522-22-2−1−52−1+521+521+521−521−52−1−52−1+52−2i2i2i−2i−2i2i2i−2i-22-22−1−52−1+521+521−52−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38000000000000000000000000
χ68222-22-2-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+521+521−52−1−52−1+521+521+521−521−521+521−522-22-2−1−52−1+521+521+521−521−52−1−52−1+52−2i2i−2i2i−2i2i−2i2i2-22-2−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38000000000000000000000000
χ69222-22-2-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+521+521−52−1−52−1+521+521+521−521−521+521−52-22-22−1−52−1+521+521+521−521−52−1−52−1+522i−2i2i−2i−2i2i−2i2i2-2-221+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38000000000000000000000000
χ70222-22-2-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+521+521−52−1−52−1+521+521+521−521−521+521−52-22-22−1−52−1+521+521+521−521−52−1−52−1+522i−2i−2i2i−2i2i2i−2i-222-21+521−52−1−52−1+521+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38000000000000000000000000
χ71222-22-2-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+521+521−52−1−52−1+521+521+521−521−521+521−52-22-22−1−52−1+521+521+521−521−52−1−52−1+52−2i2i2i−2i2i−2i−2i2i-222-21+521−52−1−52−1+521+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38000000000000000000000000
χ72222-22-2-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+521+521−52−1−52−1+521+521+521−521−521+521−52-22-22−1−52−1+521+521+521−521−52−1−52−1+52−2i2i−2i2i2i−2i2i−2i2-2-221+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38000000000000000000000000
χ7344444444-4-4-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−544-4-41−51+51−51−51+51+51−51+5000000000000−1+5−1−5−1+5−1−51−51+51−51+500000000000000000000000000000000000000000000000000000000
χ7444444444-4-4-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5-4-4441−51+51−51−51+51+51−51+50000000000001−51+51−51+5−1+5−1−5−1+5−1−500000000000000000000000000000000000000000000000000000000
χ7544444444-4-4-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+544-4-41+51−51+51+51−51−51+51−5000000000000−1−5−1+5−1−5−1+51+51−51+51−500000000000000000000000000000000000000000000000000000000
χ7644444444-4-4-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5-4-4441+51−51+51+51−51−51+51−50000000000001+51−51+51−5−1−5−1+5−1−5−1+500000000000000000000000000000000000000000000000000000000
χ77444-44-4-4-444-4-4−1+5−1−5−1+5−1+5−1−5−1−51−51+5−1+5−1−51−51−51+51+51−51+54-4-441−51+5−1+5−1+5−1−5−1−51−51+5000000000000−1+5−1−51−51+51−51+5−1+5−1−500000000000000000000000000000000000000000000000000000000
χ78444-44-4-4-444-4-4−1+5−1−5−1+5−1+5−1−5−1−51−51+5−1+5−1−51−51−51+51+51−51+5-444-41−51+5−1+5−1+5−1−5−1−51−51+50000000000001−51+5−1+5−1−5−1+5−1−51−51+500000000000000000000000000000000000000000000000000000000
χ79444-44-4-4-444-4-4−1−5−1+5−1−5−1−5−1+5−1+51+51−5−1−5−1+51+51+51−51−51+51−54-4-441+51−5−1−5−1−5−1+5−1+51+51−5000000000000−1−5−1+51+51−51+51−5−1−5−1+500000000000000000000000000000000000000000000000000000000
χ80444-44-4-4-444-4-4−1−5−1+5−1−5−1−5−1+5−1+51+51−5−1−5−1+51+51+51−51−51+51−5-444-41+51−5−1−5−1−5−1+5−1+51+51−50000000000001+51−5−1−5−1+5−1−5−1+51+51−500000000000000000000000000000000000000000000000000000000
χ8144-44-44-4-40000444-44-444-4-44-44-4-4-4000000000000000000000000000000000000000000000000000000000000000000000000000022−2222−2200000000
χ8244-44-44-4-40000444-44-444-4-44-44-4-4-40000000000000000000000000000000000000000000000000000000000000000000000000000−2222−222200000000
χ8344-4-4-4-4440000444-44-4-4-4-4-4-44-4444000000000000000000000000000000000000000000000000000000000000000000000000000022−22−222200000000
χ8444-4-4-4-4440000444-44-4-4-4-4-4-44-44440000000000000000000000000000000000000000000000000000000000000000000000000000−222222−2200000000
χ854-444-4-44-4000044-44-4444-4-4-44-44-4-400000000000000000000000000000000000000000000000000000000000000000000000022−2222−22000000000000
χ864-444-4-44-4000044-44-4444-4-4-44-44-4-4000000000000000000000000000000000000000000000000000000000000000000000000−2222−2222000000000000
χ874-44-4-44-44000044-44-44-4-4-4-44-44-44400000000000000000000000000000000000000000000000000000000000000000000000022−22−2222000000000000
χ884-44-4-44-44000044-44-44-4-4-4-44-44-444000000000000000000000000000000000000000000000000000000000000000000000000−222222−22000000000000
χ894-4-444-4-444-44-444-4-4-4-44444-4-4-4-4440000-4-44-44-4440000000000000000000000000000000000000000000000000000000000000000000000000000
χ904-4-444-4-444-44-4−1+5−1−51−51−51+51+5−1+5−1−5−1+5−1−51−51−51+51+5−1+5−1−500001−51+5−1+51−5−1−51+5−1+5−1−5000000000000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36000000000000000000000000000000000000000000000000
χ914-4-444-4-444-44-4−1+5−1−51−51−51+51+5−1+5−1−5−1+5−1−51−51−51+51+5−1+5−1−500001−51+5−1+51−5−1−51+5−1+5−1−500000000000000000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36000000000000000000000000000000000000000000000000
χ924-4-444-4-444-44-4−1−5−1+51+51+51−51−5−1−5−1+5−1−5−1+51+51+51−51−5−1−5−1+500001+51−5−1−51+5−1+51−5−1−5−1+500000000000000000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28000000000000000000000000000000000000000000000000
χ934-4-444-4-444-44-4−1−5−1+51+51+51−51−5−1−5−1+5−1−5−1+51+51+51−51−5−1−5−1+500001+51−5−1−51+5−1+51−5−1−5−1+5000000000000000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28000000000000000000000000000000000000000000000000
χ944-4-444-4-44-44-4444-4-4-4-44444-4-4-4-444000044-44-44-4-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ954-4-444-4-44-44-44−1+5−1−51−51−51+51+5−1+5−1−5−1+5−1−51−51−51+51+5−1+5−1−50000−1+5−1−51−5−1+51+5−1−51−51+50000000000000000000000000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ140000000000000000000000000000000000000000
χ964-4-444-4-44-44-44−1+5−1−51−51−51+51+5−1+5−1−5−1+5−1−51−51−51+51+5−1+5−1−50000−1+5−1−51−5−1+51+5−1−51−51+500000000000000000000000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ140000000000000000000000000000000000000000
χ974-4-444-4-44-44-44−1−5−1+51+51+51−51−5−1−5−1+5−1−5−1+51+51+51−51−5−1−5−1+50000−1−5−1+51+5−1−51−5−1+51+51−500000000000000000000000000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ382ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ380000000000000000000000000000000000000000
χ984-4-444-4-44-44-44−1−5−1+51+51+51−51−5−1−5−1+5−1−5−1+51+51+51−51−5−1−5−1+50000−1−5−1+51+5−1−51−5−1+51+51−50000000000000000000000000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ38−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ380000000000000000000000000000000000000000
χ994-4-4-4444-44-4-4444-4-4-4-4-4-4444444-4-40000444-44-4-4-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ1004-4-4-4444-44-4-44−1+5−1−51−51−51+51+51−51+5−1+5−1−5−1+5−1+5−1−5−1−51−51+50000−1+5−1−5−1+51−5−1−51+51−51+50000000000000000000000000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ140000000000000000000000000000000000000000
χ1014-4-4-4444-44-4-44−1+5−1−51−51−51+51+51−51+5−1+5−1−5−1+5−1+5−1−5−1−51−51+50000−1+5−1−5−1+51−5−1−51+51−51+500000000000000000000000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ140000000000000000000000000000000000000000
χ1024-4-4-4444-44-4-44−1−5−1+51+51+51−51−51+51−5−1−5−1+5−1−5−1−5−1+5−1+51+51−50000−1−5−1+5−1−51+5−1+51−51+51−500000000000000000000000000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ380000000000000000000000000000000000000000
χ1034-4-4-4444-44-4-44−1−5−1+51+51+51−51−51+51−5−1−5−1+5−1−5−1−5−1+5−1+51+51−50000−1−5−1+5−1−51+5−1+51−51+51−50000000000000000000000000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ380000000000000000000000000000000000000000
χ1044-4-4-4444-4-444-444-4-4-4-4-4-4444444-4-40000-4-4-44-44440000000000000000000000000000000000000000000000000000000000000000000000000000
χ1054-4-4-4444-4-444-4−1+5−1−51−51−51+51+51−51+5−1+5−1−5−1+5−1+5−1−5−1−51−51+500001−51+51−5−1+51+5−1−5−1+5−1−5000000000000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36000000000000000000000000000000000000000000000000
χ1064-4-4-4444-4-444-4−1+5−1−51−51−51+51+51−51+5−1+5−1−5−1+5−1+5−1−5−1−51−51+500001−51+51−5−1+51+5−1−5−1+5−1−500000000000000000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36000000000000000000000000000000000000000000000000
χ1074-4-4-4444-4-444-4−1−5−1+51+51+51−51−51+51−5−1−5−1+5−1−5−1−5−1+5−1+51+51−500001+51−51+5−1−51−5−1+5−1−5−1+500000000000000000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28000000000000000000000000000000000000000000000000
χ1084-4-4-4444-4-444-4−1−5−1+51+51+51−51−51+51−5−1−5−1+5−1−5−1−5−1+5−1+51+51−500001+51−51+5−1−51−5−1+5−1−5−1+5000000000000000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28000000000000000000000000000000000000000000000000
χ10988-88-88-8-80000−2+25−2−25−2+252−25−2−252+25−2+25−2−252−252+25−2+252−25−2−252+252−252+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11088-88-88-8-80000−2−25−2+25−2−252+25−2+252−25−2−25−2+252+252−25−2−252+25−2+252−252+252−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11188-8-8-8-8880000−2+25−2−25−2+252−25−2−252+252−252+252−252+252−25−2+252+25−2−25−2+25−2−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-8-8880000−2−25−2+25−2−252+25−2+252−252+252−252+252−252+25−2−252−25−2+25−2−25−2+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-888-8-88-80000−2+25−2−252−25−2+252+25−2−25−2+25−2−252−252+252−25−2+252+25−2−252−252+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-888-8-88-80000−2−25−2+252+25−2−252−25−2+25−2−25−2+252+252−252+25−2−252−25−2+252+252−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-88-8-88-880000−2+25−2−252−25−2+252+25−2−252−252+252−252+25−2+252−25−2−252+25−2+25−2−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-88-8-88-880000−2−25−2+252+25−2−252−25−2+252+252−252+252−25−2−252+25−2+252−25−2−25−2+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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