Finite Group Databasebeta

← Group #12078176

Character table — Group #12078176

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107
size1111222222222222222244444444444444444444444444488888888888888888888881616161616161616161616161616161616161616202020204040404040404040404040404040
order1222224444445510101010101022444441010101020202020202020202020202020202020441010101020202020202020202020202020202020228810101010101010104040404040404040224422244488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111-1-11-1-11111-1-1-1-1
χ611111111111111111111-1-111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-11111
χ711111111111111111111-1-111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111-1-11-1-1-1-1-1-11111
χ811111111111111111111-1-111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1111111-1-1-1-1
χ91111-1-111-1-1111111111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1111-1111111-1-11111-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-111-1-1-1111-1-111-1-111-1-1
χ101111-1-111-1-1111111111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1111-1111111-1-11111-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-1-1-1111-1-1-111-1-111-1-111
χ111111-1-111-1-1111111111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1111-1111111-1-11111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-1111111-1-1-1111-1-1-1-111-1-111
χ121111-1-111-1-1111111111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1111-1111111-1-11111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111-1-1111-1-1-11111-1-111-1-1
χ131111-1-111-1-11111111111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-111-11-1-1-1-111-1-1-1-1-1-1111111111-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1-111111-1-1-1-111
χ141111-1-111-1-11111111111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-111-11-1-1-1-111-1-1-1-1-1-1111111111-1-111111-1-1-1-1-1-1-1-11111-1-111111-1-1-1-1-11111-1-1
χ151111-1-111-1-11111111111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-111-11-1-1-1-111-1-1-1-1-1-111111111-111-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1111-1-11111-1-1
χ161111-1-111-1-11111111111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-111-11-1-1-1-111-1-1-1-1-1-111111111-111-1-1-1-1-111111111-1-1-1-1-1-111111-1-1-111-1-1-1-111
χ17222222222222−1+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+52−1−52−1−52−1−52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+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+52−1−52−1−52000000000000000000
χ18222222222222−1+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+52−1−52−1−52−1−52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+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+521−521−521+521+521−521−521+521+52000000000000000000
χ19222222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-222-2-22−1+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+52−1−52−1−52−1−52−1−52−1+52−1−52-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521−521−521+521+521+521+5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000000000000000000
χ20222222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-222-2-22−1+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+52−1−52−1−52−1−52−1−52−1+52−1−52-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521−521−521+521+521+521+52-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000
χ21222222222222−1−52−1+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+52−1+52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+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+52000000000000000000
χ22222222222222−1−52−1+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+52−1+52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+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+521−521−521+521+521−521−521+521+521−521−52000000000000000000
χ23222222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-222-2-22−1−52−1−52−1+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+52−1+52−1+52−1−52−1+52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−521+521+521+521+521−521−521−521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000000000000000000
χ24222222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-222-2-22−1−52−1−52−1+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+52−1+52−1+52−1−52−1+52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−521+521+521+521+521−521−521−521−52-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000
χ252222222-2-2-2-2222222222002-200-2222222-222-2-2-2-2-2-2-2-2-2-2-2000000-2-2220000000000000000000000000000000022-2-2200-20000000000
χ262222222-2-2-2-2222222222002-200-2222222-222-2-2-2-2-2-2-2-2-2-2-2000000-2-22200000000000000000000000000000000-2-222-20020000000000
χ27222222-22222-22222222222-2-222-22222-2-22-2-2222-2-222-2-222-2-22222-2-2-2-2-2-2-2-222-2-222-2-200000000000000000000000000000000000000
χ28222222-22222-222222222-2-2-2-2-2-2-22222-2-22-2-2222-2-222-2-22222-2-2-2-2-2-2-2-22222-2-222-2-22200000000000000000000000000000000000000
χ29222222-22222-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222-2-222-2−1+52−1+52−1−52−1−521−521−52−1+521+521+52−1−52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1−52-2-2−1+52−1+52−1−52−1−521−521+521−521+521−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000000000
χ30222222-22222-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222-2-222-2−1+52−1+52−1−52−1−521−521−52−1+521+521+52−1−52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1−52-2-2−1+52−1+52−1−52−1−521−521+521−521+521−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000000000
χ31222222-22222-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-2-2-2-2-2-2−1+52−1+52−1−52−1−521−521−52−1+521+521+52−1−52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1−52221−521−521+521+521−521+521−521+52−1+52−1+52−1−52−1−521−521−52−1+52−1+521+521+52−1−52−1−520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000000000
χ32222222-22222-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-2-2-2-2-2-2−1+52−1+52−1−52−1−521−521−52−1+521+521+52−1−52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1−52221−521−521+521+521−521+521−521+52−1+52−1+52−1−52−1−521−521−52−1+52−1+521+521+52−1−52−1−520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000000000
χ33222222-22222-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+5222-2-222-2−1−52−1−52−1+52−1+521+521+52−1−521−521−52−1+52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1+52-2-2−1−52−1−52−1+52−1+521+521−521+521−521+521+521−521−52−1−52−1−521+521+52−1+52−1+521−521−520000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000000000000
χ34222222-22222-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+5222-2-222-2−1−52−1−52−1+52−1+521+521+52−1−521−521−52−1+52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1+52-2-2−1−52−1−52−1+52−1+521+521−521+521−521+521+521−521−52−1−52−1−521+521+52−1+52−1+521−521−520000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000000000000
χ35222222-22222-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-2-2-2-2-2-2−1−52−1−52−1+52−1+521+521+52−1−521−521−52−1+52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1+52221+521+521−521−521+521−521+521−52−1−52−1−52−1+52−1+521+521+52−1−52−1−521−521−52−1+52−1+520000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000000000000
χ36222222-22222-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-2-2-2-2-2-2−1−52−1−52−1+52−1+521+521+52−1−521−521−52−1+52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1+52221+521+521−521−521+521−521+521−52−1−52−1−52−1+52−1+521+521+52−1−52−1−521−521−52−1+52−1+520000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000000000000
χ37222222-2-2-2-2-2-22222222200-220022222-2-2-2-2-2-2-2-222-2-222-2-200000022-2-200000000000000000000000000000000000002-202-200000000
χ38222222-2-2-2-2-2-22222222200-220022222-2-2-2-2-2-2-2-222-2-222-2-200000022-2-20000000000000000000000000000000000000-220-2200000000
χ392222-2-222-2-222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222-2-2-2-221−521−521+521+52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1−522-2−1+52−1+52−1−52−1−52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+522-22-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000
χ402222-2-222-2-222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222-2-2-2-221−521−521+521+52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1−522-2−1+52−1+52−1−52−1−52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-22-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000
χ412222-2-222-2-222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-2-2-22221−521−521+521+52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1−52-221−521−521+521+52−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2-22−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000
χ422222-2-222-2-222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-2-2-22221−521−521+521+52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1−52-221−521−521+521+52−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-222-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000
χ432222-2-222-2-222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+5222-2-2-2-221+521+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+522-2−1−52−1−52−1+52−1+52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−522-22-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000
χ442222-2-222-2-222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+5222-2-2-2-221+521+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+522-2−1−52−1−52−1+52−1+52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-22-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000
χ452222-2-222-2-222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-2-2-22221+521+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+52-221+521+521−521−52−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-2-22−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000
χ462222-2-222-2-222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-2-2-22221+521+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+52-221+521+521−521−52−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-222-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000
χ472222-2-22-222-222222222200-2200-2-2-2-2-222-222-222222222-2-2000000-2-2-2-2000000000000000000000000000000002222-200-20000000000
χ482222-2-22-222-222222222200-2200-2-2-2-2-222-222-222222222-2-2000000-2-2-2-200000000000000000000000000000000-2-2-2-220020000000000
χ492222-2-2-22-2-22-2222222222222-2-2-2-2-2-2-2-2-22-2-22-2-222-2-22222-222222-2-222-2-2-2-2-2-222-2-22200000000000000000000000000000000000000
χ502222-2-2-22-2-22-222222222-2-22222-2-2-2-2-2-2-22-2-22-2-222-2-222222-2-2-2-2-2-2-222222222-2-222-2-200000000000000000000000000000000000000
χ512222-2-2-22-2-22-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522222-2-2-21−521−521+521+521−521−52−1+521+521+52−1−521−521−52−1+52−1+521+521+52−1−52−1−52−1+52−1−52-22−1+52−1+52−1−52−1−521−521+52−1+52−1−521−521−521+521+521−521−52−1+52−1+521+521+52−1−52−1−520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000000000
χ522222-2-2-22-2-22-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522222-2-2-21−521−521+521+521−521−52−1+521+521+52−1−521−521−52−1+52−1+521+521+52−1−52−1−52−1+52−1−52-22−1+52−1+52−1−52−1−521−521+52−1+52−1−521−521−521+521+521−521−52−1+52−1+521+521+52−1−52−1−520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000000000
χ532222-2-2-22-2-22-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-22222-21−521−521+521+521−521−52−1+521+521+52−1−521−521−52−1+52−1+521+521+52−1−52−1−52−1+52−1−522-21−521−521+521+521−521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+521−521−52−1−52−1−521+521+520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000000000
χ542222-2-2-22-2-22-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-22222-21−521−521+521+521−521−52−1+521+521+52−1−521−521−52−1+52−1+521+521+52−1−52−1−52−1+52−1−522-21−521−521+521+521−521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+521−521−52−1−52−1−521+521+520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000000000
χ552222-2-2-22-2-22-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522222-2-2-21+521+521−521−521+521+52−1−521−521−52−1+521+521+52−1−52−1−521−521−52−1+52−1+52−1−52−1+52-22−1−52−1−52−1+52−1+521+521−52−1−52−1+521+521+521−521−521+521+52−1−52−1−521−521−52−1+52−1+520000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000000000000
χ562222-2-2-22-2-22-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522222-2-2-21+521+521−521−521+521+52−1−521−521−52−1+521+521+52−1−52−1−521−521−52−1+52−1+52−1−52−1+52-22−1−52−1−52−1+52−1+521+521−52−1−52−1+521+521+521−521−521+521+52−1−52−1−521−521−52−1+52−1+520000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000000000000
χ572222-2-2-22-2-22-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-22222-21+521+521−521−521+521+52−1−521−521−52−1+521+521+52−1−52−1−521−521−52−1+52−1+52−1−52−1+522-21+521+521−521−521+521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−521+521+52−1+52−1+521−521−520000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000000000000
χ582222-2-2-22-2-22-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-22222-21+521+521−521−521+521+52−1−521−521−52−1+521+521+52−1−52−1−521−521−52−1+52−1+52−1−52−1+522-21+521+521−521−521+521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−521+521+52−1+52−1+521−521−520000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000000000000
χ592222-2-2-2-222-2-222222222002-2002-2-2-2-2-2-2-2-2-2-222-2-222-2-2-2-2000000222200000000000000000000000000000000000002-20-2200000000
χ602222-2-2-2-222-2-222222222002-2002-2-2-2-2-2-2-2-2-2-222-2-222-2-2-2-200000022220000000000000000000000000000000000000-2202-200000000
χ612-2-222-20-22-220222-2-22-2-22-2002-202-22-200-200-22-2002-20022002-22-2000000002-2002-2000000000000000000000000000000002−22−22−22−2
χ622-2-222-20-22-220222-2-22-2-22-2002-202-22-200-200-22-2002-20022002-22-2000000002-2002-200000000000000000000000000000000−22−22−22−22
χ632-2-222-20-22-220222-2-22-2-2-2200-2202-22-200-200-22-2002-2002200-22-2200000000-2200-22000000000000000000000000000000002−22−2−22−22
χ642-2-222-20-22-220222-2-22-2-2-2200-2202-22-200-200-22-2002-2002200-22-2200000000-2200-2200000000000000000000000000000000−22−222−22−2
χ652-2-22-220-2-2220222-2-22-2-22-200-220-22-2200-200-2-2200-220022002-22-200000000-2200-22000000000000000000000000000000002−2−222−2−22
χ662-2-22-220-2-2220222-2-22-2-22-200-220-22-2200-200-2-2200-220022002-22-200000000-2200-2200000000000000000000000000000000−222−2−222−2
χ672-2-22-220-2-2220222-2-22-2-2-22002-20-22-2200-200-2-2200-22002200-22-22000000002-2002-2000000000000000000000000000000002−2−22−222−2
χ682-2-22-220-2-2220222-2-22-2-2-22002-20-22-2200-200-2-2200-22002200-22-22000000002-2002-200000000000000000000000000000000−222−22−2−22
χ694444444-4-4-4-44−1+5−1−5−1+5−1+5−1+5−1−5−1−5−1−5004-400-4−1+5−1+5−1−5−1−5−1+5−1+51−5−1−5−1−51+51−51−51−51−51+51+51+51+51−51+50000001−51+5−1+5−1−500000000000000000000000000000000000000000000000000
χ704444444-4-4-4-44−1−5−1+5−1−5−1−5−1−5−1+5−1+5−1+5004-400-4−1−5−1−5−1+5−1+5−1−5−1−51+5−1+5−1+51−51+51+51+51+51−51−51−51−51+51−50000001+51−5−1−5−1+500000000000000000000000000000000000000000000000000
χ71444444-4-4-4-4-4-4−1+5−1−5−1+5−1+5−1+5−1−5−1−5−1−500-44004−1+5−1+5−1−5−1−51−51−51−51+51+51+51−51−5−1+5−1+51+51+5−1−5−1−51−51+5000000−1+5−1−51−51+500000000000000000000000000000000000000000000000000
χ72444444-4-4-4-4-4-4−1−5−1+5−1−5−1−5−1−5−1+5−1+5−1+500-44004−1−5−1−5−1+5−1+51+51+51+51−51−51−51+51+5−1−5−1−51−51−5−1+5−1+51+51−5000000−1−5−1+51+51−500000000000000000000000000000000000000000000000000
χ734444-4-44-444-44−1+5−1−5−1+5−1+5−1+5−1−5−1−5−1−500-4400-41−51−51+51+5−1+5−1+51−5−1−5−1−51+5−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−51−51+50000001−51+51−51+500000000000000000000000000000000000000000000000000
χ744444-4-44-444-44−1−5−1+5−1−5−1−5−1−5−1+5−1+5−1+500-4400-41+51+51−51−5−1−5−1−51+5−1+5−1+51−5−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+51+51−50000001+51−51+51−500000000000000000000000000000000000000000000000000
χ754444-4-4-4-444-4-4−1+5−1−5−1+5−1+5−1+5−1−5−1−5−1−5004-40041−51−51+51+51−51−51−51+51+51+5−1+5−1+51−51−5−1−5−1−51+51+51−51+5000000−1+5−1−5−1+5−1−500000000000000000000000000000000000000000000000000
χ764444-4-4-4-444-4-4−1−5−1+5−1−5−1−5−1−5−1+5−1+5−1+5004-40041+51+51−51−51+51+51+51−51−51−5−1−5−1−51+51+5−1+5−1+51−51−51+51−5000000−1−5−1+5−1−5−1+500000000000000000000000000000000000000000000000000
χ7744-4-40040000-444-44-4-44-4000000000004-404-400000000000000000000000000000000000000000000000000000004i−4i00000000000000
χ7844-4-40040000-444-44-4-44-4000000000004-404-40000000000000000000000000000000000000000000000000000000−4i4i00000000000000
χ7944-4-400-40000444-44-4-44-400000000000-440-44000000000000000000000000000000000000000000000000000004-40000000000000000
χ8044-4-400-40000444-44-4-44-400000000000-440-4400000000000000000000000000000000000000000000000000000-440000000000000000
χ814-4-444-404-44-40444-4-44-4-400000004-44-4004004-4400-4400-4-4000000000000000000000000000000000000000000000000000000000000
χ824-4-444-404-44-40−1+5−1−5−1+51−51−5−1−51+51+50000000−1+51−5−1−51+500−1+500−1−51−5−1+5001+5−1−5001−51+50000000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ1400−2ζ22+2ζ382ζ22−2ζ38002ζ6−2ζ14−2ζ6+2ζ1400000000000000000000000000000000000000
χ834-4-444-404-44-40−1+5−1−5−1+51−51−5−1−51+51+50000000−1+51−5−1−51+500−1+500−1−51−5−1+5001+5−1−5001−51+500000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14002ζ22−2ζ38−2ζ22+2ζ3800−2ζ6+2ζ142ζ6−2ζ1400000000000000000000000000000000000000
χ844-4-444-404-44-40−1−5−1+5−1−51+51+5−1+51−51−50000000−1−51+5−1+51−500−1−500−1+51+5−1−5001−5−1+5001+51−500000000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38002ζ6−2ζ14−2ζ6+2ζ14002ζ22−2ζ38−2ζ22+2ζ3800000000000000000000000000000000000000
χ854-4-444-404-44-40−1−5−1+5−1−51+51+5−1+51−51−50000000−1−51+5−1+51−500−1−500−1+51+5−1−5001−5−1+5001+51−50000000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ3800−2ζ6+2ζ142ζ6−2ζ1400−2ζ22+2ζ382ζ22−2ζ3800000000000000000000000000000000000000
χ864-4-444-40-44-440−1+5−1−5−1+51−51−5−1−51+51+54-4004-40−1+51−5−1−51+5001−5001+5−1+51−500−1−51+500−1+5−1−500−1+51−5−1−51+500000000−1+51−500−1−51+50000000000000000000000000000000000000000
χ874-4-444-40-44-440−1+5−1−5−1+51−51−5−1−51+51+5-4400-440−1+51−5−1−51+5001−5001+5−1+51−500−1−51+500−1+5−1−5001−5−1+51+5−1−5000000001−5−1+5001+5−1−50000000000000000000000000000000000000000
χ884-4-444-40-44-440−1−5−1+5−1−51+51+5−1+51−51−54-4004-40−1−51+5−1+51−5001+5001−5−1−51+500−1+51−500−1−5−1+500−1−51+5−1+51−500000000−1−51+500−1+51−50000000000000000000000000000000000000000
χ894-4-444-40-44-440−1−5−1+5−1−51+51+5−1+51−51−5-4400-440−1−51+5−1+51−5001+5001−5−1−51+500−1+51−500−1−5−1+5001+5−1−51−5−1+5000000001+5−1−5001−5−1+50000000000000000000000000000000000000000
χ904-4-44-44044-4-40444-4-44-4-40000000-44-440040044-4004-400-4-4000000000000000000000000000000000000000000000000000000000000
χ914-4-44-44044-4-40−1+5−1−5−1+51−51−5−1−51+51+500000001−5−1+51+5−1−500−1+500−1−5−1+51−500−1−51+5001−51+50000000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ14002ζ22−2ζ38−2ζ22+2ζ3800−2ζ6+2ζ142ζ6−2ζ1400000000000000000000000000000000000000
χ924-4-44-44044-4-40−1+5−1−5−1+51−51−5−1−51+51+500000001−5−1+51+5−1−500−1+500−1−5−1+51−500−1−51+5001−51+500000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ1400−2ζ22+2ζ382ζ22−2ζ38002ζ6−2ζ14−2ζ6+2ζ1400000000000000000000000000000000000000
χ934-4-44-44044-4-40−1−5−1+5−1−51+51+5−1+51−51−500000001+5−1−51−5−1+500−1−500−1+5−1−51+500−1+51−5001+51−500000000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ3800−2ζ6+2ζ142ζ6−2ζ1400−2ζ22+2ζ382ζ22−2ζ3800000000000000000000000000000000000000
χ944-4-44-44044-4-40−1−5−1+5−1−51+51+5−1+51−51−500000001+5−1−51−5−1+500−1−500−1+5−1−51+500−1+51−5001+51−50000000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ38002ζ6−2ζ14−2ζ6+2ζ14002ζ22−2ζ38−2ζ22+2ζ3800000000000000000000000000000000000000
χ954-4-44-440-4-4440−1+5−1−5−1+51−51−5−1−51+51+54-400-4401−5−1+51+5−1−5001−5001+51−5−1+5001+5−1−500−1+5−1−500−1+51−5−1−51+5000000001−5−1+5001+5−1−50000000000000000000000000000000000000000
χ964-4-44-440-4-4440−1+5−1−5−1+51−51−5−1−51+51+5-44004-401−5−1+51+5−1−5001−5001+51−5−1+5001+5−1−500−1+5−1−5001−5−1+51+5−1−500000000−1+51−500−1−51+50000000000000000000000000000000000000000
χ974-4-44-440-4-4440−1−5−1+5−1−51+51+5−1+51−51−54-400-4401+5−1−51−5−1+5001+5001−51+5−1−5001−5−1+500−1−5−1+500−1−51+5−1+51−5000000001+5−1−5001−5−1+50000000000000000000000000000000000000000
χ984-4-44-440-4-4440−1−5−1+5−1−51+51+5−1+51−51−5-44004-401+5−1−51−5−1+5001+5001−51+5−1−5001−5−1+500−1−5−1+5001+5−1−51−5−1+500000000−1−51+500−1+51−50000000000000000000000000000000000000000
χ9988-8-80080000-8−2+25−2−252−25−2+252−252+25−2−252+2500000000000−2+252−250−2−252+2500000000000000000000000000000000000000000000000000000000000000000000000
χ10088-8-80080000-8−2−25−2+252+25−2−252+252−25−2+252−2500000000000−2−252+250−2+252−2500000000000000000000000000000000000000000000000000000000000000000000000
χ10188-8-800-800008−2+25−2−252−25−2+252−252+25−2−252+25000000000002−25−2+2502+25−2−2500000000000000000000000000000000000000000000000000000000000000000000000
χ10288-8-800-800008−2−25−2+252+25−2−252+252−25−2+252−25000000000002+25−2−2502−25−2+2500000000000000000000000000000000000000000000000000000000000000000000000
χ1038-88-80000000088-8-88-8-88000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-88-800000000−2+25−2−252−252−25−2+252+252+25−2−2500000000000000000004ζ12−4ζ28−4ζ12+4ζ2800−4ζ4+4ζ364ζ4−4ζ3600000000000000000000000000000000000000000000000000000000000000
χ1058-88-800000000−2+25−2−252−252−25−2+252+252+25−2−250000000000000000000−4ζ12+4ζ284ζ12−4ζ28004ζ4−4ζ36−4ζ4+4ζ3600000000000000000000000000000000000000000000000000000000000000
χ1068-88-800000000−2−25−2+252+252+25−2−252−252−25−2+250000000000000000000−4ζ4+4ζ364ζ4−4ζ3600−4ζ12+4ζ284ζ12−4ζ2800000000000000000000000000000000000000000000000000000000000000
χ1078-88-800000000−2−25−2+252+252+25−2−252−252−25−2+2500000000000000000004ζ4−4ζ36−4ζ4+4ζ36004ζ12−4ζ28−4ζ12+4ζ2800000000000000000000000000000000000000000000000000000000000000

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