Finite Group Databasebeta

← Group #12248062

Character table — Group #12248062

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size1122222222222444444444444444444444444448888888888888888888888881616161616161616161616161616161616161616202020202020202020202020202020204040808080
order1222244445510102222224444441010101010102020202020202020101010101010101010101010202020202020202020202020448820202020202020204040404040404040222222444444444488448
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111111111111-1-1-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-1
χ6111111111111111-1-1-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-11
χ7111111111111111-1-1-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-111-1-11
χ8111111111111111-1-1-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1111111-1-111-1
χ91111111111111-1-111-1-1-1-111-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-11-11111-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1-1-1-1-11-11
χ101111111111111-1-111-1-1-1-111-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-11-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1111111-11-1
χ111111111111111-1-111-1-1-1-111-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-1-1-11111-1-1-1-1111111-1-11111-1-111-1-1-1-111-11-1
χ121111111111111-1-111-1-1-1-111-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-11-11
χ131111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111111-1-1
χ141111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-111111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-111
χ151111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-111
χ161111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-1-1-1-111111111-1-1-1-1-1-11111-1-11111-1-1-1-1111-1-1
χ17222222222−1+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+52−1−52−1−522222−1+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+52−1−52−1−52000000000000000000000
χ18222222222−1+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+52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52000000000000000000000
χ19222222222−1+52−1−52−1+52−1−5222-2-2-2-222-2-2-2-2−1+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+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+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+52000000000000000000000
χ20222222222−1+52−1−52−1+52−1−5222-2-2-2-222-2-2-2-2−1+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+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+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+52−1−52−1−52000000000000000000000
χ21222222222−1+52−1−52−1+52−1−52-2-222-2-2-2-222-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+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+52000000000000000000000
χ22222222222−1+52−1−52−1+52−1−52-2-222-2-2-2-222-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52-22-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000000
χ23222222222−1+52−1−52−1+52−1−52-2-2-2-222-2-2-2-222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−522-2-22−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000000
χ24222222222−1+52−1−52−1+52−1−52-2-2-2-222-2-2-2-222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52-222-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000000
χ25222222222−1−52−1+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+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+52000000000000000000000
χ26222222222−1−52−1+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+52-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52000000000000000000000
χ27222222222−1−52−1+52−1−52−1+5222-2-2-2-222-2-2-2-2−1−52−1−52−1+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+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+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+521−521−52000000000000000000000
χ28222222222−1−52−1+52−1−52−1+5222-2-2-2-222-2-2-2-2−1−52−1−52−1+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+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+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+52000000000000000000000
χ29222222222−1−52−1+52−1−52−1+52-2-222-2-2-2-222-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+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+521−521−52000000000000000000000
χ30222222222−1−52−1+52−1−52−1+52-2-222-2-2-2-222-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+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+52000000000000000000000
χ31222222222−1−52−1+52−1−52−1+52-2-2-2-222-2-2-2-222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+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+52000000000000000000000
χ32222222222−1−52−1+52−1−52−1+52-2-2-2-222-2-2-2-222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52-222-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000000
χ3322222-2-2-2-222222-200002-20000222222-2-2-2-2-2-2-2-22-22-2000000002-22-200000000000000000000000000002-22-2002-22-200000000000
χ3422222-2-2-2-222222-200002-20000222222-2-2-2-2-2-2-2-22-22-2000000002-22-20000000000000000000000000000-22-2200-22-2200000000000
χ3522222-2-2-2-22222-220000-220000222222-2-2-2-2-2-2-2-2-22-2200000000-22-2200000000000000000000000000002-2-22002-2-2200000000000
χ3622222-2-2-2-22222-220000-220000222222-2-2-2-2-2-2-2-2-22-2200000000-22-220000000000000000000000000000-222-200-222-200000000000
χ37222-2-222-2-22222222-22-2-2-22-22-2-2-2-2-222-2-2-2-2222222222-22-22-22-2-2-2-2-22-22-22-22-200000000000000000000000000000000000000000
χ38222-2-222-2-2222222-22-22-2-2-22-22-2-2-2-222-2-2-2-222222222-22-22-22-22-2-2-2-2-22-22-22-2200000000000000000000000000000000000000000
χ39222-2-222-2-22222-2-22-2-22222-2-22-2-2-2-222-2-2-2-22222-2-2-2-22-22-2-22-2222222-22-2-22-2200000000000000000000000000000000000000000
χ40222-2-222-2-22222-2-2-222-222-222-2-2-2-2-222-2-2-2-22222-2-2-2-2-22-222-22-22222-22-222-22-200000000000000000000000000000000000000000
χ41222-2-222-2-2−1+52−1−52−1+52−1−52222-22-2-2-22-22-21−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+521−52−1−521+52−1+521−52−1−521+521−521−521+521+52−1+521−52−1−521+52−1+521−52−1−521+520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000000000000
χ42222-2-222-2-2−1+52−1−52−1+52−1−52222-22-2-2-22-22-21−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+521−52−1−521+52−1+521−52−1−521+521−521−521+521+52−1+521−52−1−521+52−1+521−52−1−521+520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000000000000
χ43222-2-222-2-2−1+52−1−52−1+52−1−5222-22-22-2-2-22-221−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−52−1+521+52−1−521−52−1+521+52−1−521−521−521+521+521−52−1+521+52−1−521−52−1+521+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+ζ36000000000000000000000
χ44222-2-222-2-2−1+52−1−52−1+52−1−5222-22-22-2-2-22-221−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−52−1+521+52−1−521−52−1+521+52−1−521−521−521+521+521−52−1+521+52−1−521−52−1+521+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−ζ36000000000000000000000
χ45222-2-222-2-2−1+52−1−52−1+52−1−52-2-22-2-22222-2-221−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+521−52−1−521+521−52−1+521+52−1−52−1+52−1+52−1−52−1−52−1+521−52−1−521+521−52−1+521+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+ζ36000000000000000000000
χ46222-2-222-2-2−1+52−1−52−1+52−1−52-2-22-2-22222-2-221−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+521−52−1−521+521−52−1+521+52−1−52−1+52−1+52−1−52−1−52−1+521−52−1−521+521−52−1+521+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−ζ36000000000000000000000
χ47222-2-222-2-2−1+52−1−52−1+52−1−52-2-2-222-222-222-21−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−52−1+521+52−1−52−1+521−52−1−521+52−1+52−1+52−1−52−1−521−52−1+521+52−1−52−1+521−52−1−521+520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000000000000
χ48222-2-222-2-2−1+52−1−52−1+52−1−52-2-2-222-222-222-21−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−52−1+521+52−1−52−1+521−52−1−521+52−1+52−1+52−1−52−1−521−52−1+521+52−1−52−1+521−52−1−521+520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000000000000
χ49222-2-222-2-2−1−52−1+52−1−52−1+52222-22-2-2-22-22-21+521+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+52−1−521+52−1+521−52−1−521+52−1+521−521+521+521−521−52−1−521+52−1+521−52−1−521+52−1+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−ζ28000000000000000000000
χ50222-2-222-2-2−1−52−1+52−1−52−1+52222-22-2-2-22-22-21+521+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+52−1−521+52−1+521−52−1−521+52−1+521−521+521+521−521−52−1−521+52−1+521−52−1−521+52−1+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+ζ28000000000000000000000
χ51222-2-222-2-2−1−52−1+52−1−52−1+5222-22-22-2-2-22-221+521+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+52−1−521−52−1+521+52−1−521−52−1+521+521+521−521−521+52−1−521−52−1+521+52−1−521−52−1+520000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000000000000000
χ52222-2-222-2-2−1−52−1+52−1−52−1+5222-22-22-2-2-22-221+521+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+52−1−521−52−1+521+52−1−521−52−1+521+521+521−521−521+52−1−521−52−1+521+52−1−521−52−1+520000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000000000000000
χ53222-2-222-2-2−1−52−1+52−1−52−1+52-2-22-2-22222-2-221+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−521+52−1+521−521+52−1−521−52−1+52−1−52−1−52−1+52−1+52−1−521+52−1+521−521+52−1−521−52−1+520000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000000000000000
χ54222-2-222-2-2−1−52−1+52−1−52−1+52-2-22-2-22222-2-221+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−521+52−1+521−521+52−1−521−52−1+52−1−52−1−52−1+52−1+52−1−521+52−1+521−521+52−1−521−52−1+520000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000000000000000
χ55222-2-222-2-2−1−52−1+52−1−52−1+52-2-2-222-222-222-21+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+52−1−521−52−1+52−1−521+52−1+521−52−1−52−1−52−1+52−1+521+52−1−521−52−1+52−1−521+52−1+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−ζ28000000000000000000000
χ56222-2-222-2-2−1−52−1+52−1−52−1+52-2-2-222-222-222-21+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+52−1−521−52−1+52−1−521+52−1+521−52−1−52−1−52−1+52−1+521+52−1−521−52−1+52−1−521+52−1+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+ζ28000000000000000000000
χ57222-2-2-2-22222222-20000-220000-2-2-2-2222222-2-2-2-22-22-200000000-22-2200000000000000000000000000000000220000-2-222-2-200000
χ58222-2-2-2-22222222-20000-220000-2-2-2-2222222-2-2-2-22-22-200000000-22-2200000000000000000000000000000000-2-2000022-2-22200000
χ59222-2-2-2-2222222-2200002-20000-2-2-2-2222222-2-2-2-2-22-22000000002-22-200000000000000000000000000000000220000-2-2-2-22200000
χ60222-2-2-2-2222222-2200002-20000-2-2-2-2222222-2-2-2-2-22-22000000002-22-200000000000000000000000000000000-2-200002222-2-200000
χ6122-22-22-22-222220000220000-2-22-22-2-2-22-22-22-22-200000000222200000000-2-2-2-2000000000000000000002-20000-2200002-22-200000
χ6222-22-22-22-222220000220000-2-22-22-2-2-22-22-22-22-200000000222200000000-2-2-2-200000000000000000000-2200002-20000-22-2200000
χ6322-22-22-22-222220000-2-20000222-22-2-2-22-22-22-22-200000000-2-2-2-2000000002222000000000000000000002-20000-220000-22-2200000
χ6422-22-22-22-222220000-2-20000222-22-2-2-22-22-22-22-200000000-2-2-2-200000000222200000000000000000000-2200002-200002-22-200000
χ6522-22-2-22-222222002-20000-22002-22-2-2-2-22-22-22-2200002-22-200000000-22-2200000000000000000000000022002-2-2-2002-2000000000
χ6622-22-2-22-222222002-20000-22002-22-2-2-2-22-22-22-2200002-22-200000000-22-22000000000000000000000000-2-200-222200-22000000000
χ6722-22-2-22-22222200-2200002-2002-22-2-2-2-22-22-22-220000-22-22000000002-22-20000000000000000000000002200-22-2-200-22000000000
χ6822-22-2-22-22222200-2200002-2002-22-2-2-2-22-22-22-220000-22-22000000002-22-2000000000000000000000000-2-2002-222002-2000000000
χ6922-2-222-2-22222200002-20000-22-22-22-2-2-22-222-22-2000000002-22-200000000-22-22000000000000000000000022-2200-2-22-2000000000
χ7022-2-222-2-22222200002-20000-22-22-22-2-2-22-222-22-2000000002-22-200000000-22-220000000000000000000000-2-22-20022-22000000000
χ7122-2-222-2-2222220000-2200002-2-22-22-2-2-22-222-22-200000000-22-22000000002-22-20000000000000000000000222-200-2-2-22000000000
χ7222-2-222-2-2222220000-2200002-2-22-22-2-2-22-222-22-200000000-22-22000000002-22-20000000000000000000000-2-2-2200222-2000000000
χ7322-2-22-222-2222200220000-2-200-22-22-2-22-22-2-22-220000222200000000-2-2-2-2000000000000000000000000002-20000-2200-222-200000
χ7422-2-22-222-2222200220000-2-200-22-22-2-22-22-2-22-220000222200000000-2-2-2-200000000000000000000000000-2200002-2002-2-2200000
χ7522-2-22-222-2222200-2-200002200-22-22-2-22-22-2-22-220000-2-2-2-2000000002222000000000000000000000000002-20000-22002-2-2200000
χ7622-2-22-222-2222200-2-200002200-22-22-2-22-22-2-22-220000-2-2-2-200000000222200000000000000000000000000-2200002-200-222-200000
χ7744444-4-4-4-4−1+5−1−5−1+5−1−54-400004-40000−1+5−1+5−1−5−1−5−1+5−1−51−51−51+51+51−51−51+51+5−1+51−5−1−51+500000000−1+51−5−1−51+50000000000000000000000000000000000000000000000000
χ7844444-4-4-4-4−1+5−1−5−1+5−1−5-440000-440000−1+5−1+5−1−5−1−5−1+5−1−51−51−51+51+51−51−51+51+51−5−1+51+5−1−5000000001−5−1+51+5−1−50000000000000000000000000000000000000000000000000
χ7944444-4-4-4-4−1−5−1+5−1−5−1+54-400004-40000−1−5−1−5−1+5−1+5−1−5−1+51+51+51−51−51+51+51−51−5−1−51+5−1+51−500000000−1−51+5−1+51−50000000000000000000000000000000000000000000000000
χ8044444-4-4-4-4−1−5−1+5−1−5−1+5-440000-440000−1−5−1−5−1+5−1+5−1−5−1+51+51+51−51−51+51+51−51−51+5−1−51−5−1+5000000001+5−1−51−5−1+50000000000000000000000000000000000000000000000000
χ81444-4-4-4-444−1+5−1−5−1+5−1−54-40000-4400001−51−51+51+5−1+5−1−5−1+5−1+5−1−5−1−51−51−51+51+5−1+51−5−1−51+5000000001−5−1+51+5−1−50000000000000000000000000000000000000000000000000
χ82444-4-4-4-444−1+5−1−5−1+5−1−5-4400004-400001−51−51+51+5−1+5−1−5−1+5−1+5−1−5−1−51−51−51+51+51−5−1+51+5−1−500000000−1+51−5−1−51+50000000000000000000000000000000000000000000000000
χ83444-4-4-4-444−1−5−1+5−1−5−1+54-40000-4400001+51+51−51−5−1−5−1+5−1−5−1−5−1+5−1+51+51+51−51−5−1−51+5−1+51−5000000001+5−1−51−5−1+50000000000000000000000000000000000000000000000000
χ84444-4-4-4-444−1−5−1+5−1−5−1+5-4400004-400001+51+51−51−5−1−5−1+5−1−5−1−5−1+5−1+51+51+51−51−51+5−1−51−5−1+500000000−1−51+5−1+51−50000000000000000000000000000000000000000000000000
χ8544-44-44-44-4−1+5−1−5−1+5−1−50000440000-4-4−1+51−5−1−51+51−51+5−1+51−5−1−51+5−1+51−5−1−51+500000000−1+5−1+5−1−5−1−5000000001−51−51+51+500000000000000000000000000000000000000000
χ8644-44-44-44-4−1+5−1−5−1+5−1−50000-4-4000044−1+51−5−1−51+51−51+5−1+51−5−1−51+5−1+51−5−1−51+5000000001−51−51+51+500000000−1+5−1+5−1−5−1−500000000000000000000000000000000000000000
χ8744-44-44-44-4−1−5−1+5−1−5−1+50000440000-4-4−1−51+5−1+51−51+51−5−1−51+5−1+51−5−1−51+5−1+51−500000000−1−5−1−5−1+5−1+5000000001+51+51−51−500000000000000000000000000000000000000000
χ8844-44-44-44-4−1−5−1+5−1−5−1+50000-4-4000044−1−51+5−1+51−51+51−5−1−51+5−1+51−5−1−51+5−1+51−5000000001+51+51−51−500000000−1−5−1−5−1+5−1+500000000000000000000000000000000000000000
χ8944-44-4-44-44−1+5−1−5−1+5−1−5004-40000-4400−1+51−5−1−51+51−51+51−5−1+51+5−1−51−5−1+51+5−1−50000−1+51−5−1−51+5000000001−5−1+51+5−1−5000000000000000000000000000000000000000000000
χ9044-44-4-44-44−1+5−1−5−1+5−1−500-4400004-400−1+51−5−1−51+51−51+51−5−1+51+5−1−51−5−1+51+5−1−500001−5−1+51+5−1−500000000−1+51−5−1−51+5000000000000000000000000000000000000000000000
χ9144-44-4-44-44−1−5−1+5−1−5−1+5004-40000-4400−1−51+5−1+51−51+51−51+5−1−51−5−1+51+5−1−51−5−1+50000−1−51+5−1+51−5000000001+5−1−51−5−1+5000000000000000000000000000000000000000000000
χ9244-44-4-44-44−1−5−1+5−1−5−1+500-4400004-400−1−51+5−1+51−51+51−51+5−1−51−5−1+51+5−1−51−5−1+500001+5−1−51−5−1+500000000−1−51+5−1+51−5000000000000000000000000000000000000000000000
χ9344-4-444-4-44−1+5−1−5−1+5−1−500004-40000-441−5−1+51+5−1−51−51+51−5−1+51+5−1−5−1+51−5−1−51+500000000−1+51−5−1−51+5000000001−5−1+51+5−1−500000000000000000000000000000000000000000
χ9444-4-444-4-44−1+5−1−5−1+5−1−50000-4400004-41−5−1+51+5−1−51−51+51−5−1+51+5−1−5−1+51−5−1−51+5000000001−5−1+51+5−1−500000000−1+51−5−1−51+500000000000000000000000000000000000000000
χ9544-4-444-4-44−1−5−1+5−1−5−1+500004-40000-441+5−1−51−5−1+51+51−51+5−1−51−5−1+5−1−51+5−1+51−500000000−1−51+5−1+51−5000000001+5−1−51−5−1+500000000000000000000000000000000000000000
χ9644-4-444-4-44−1−5−1+5−1−5−1+50000-4400004-41+5−1−51−5−1+51+51−51+5−1−51−5−1+5−1−51+5−1+51−5000000001+5−1−51−5−1+500000000−1−51+5−1+51−500000000000000000000000000000000000000000
χ9744-4-44-444-4−1+5−1−5−1+5−1−500440000-4-4001−5−1+51+5−1−51−51+5−1+51−5−1−51+51−5−1+51+5−1−50000−1+5−1+5−1−5−1−5000000001−51−51+51+5000000000000000000000000000000000000000000000
χ9844-4-44-444-4−1+5−1−5−1+5−1−500-4-4000044001−5−1+51+5−1−51−51+5−1+51−5−1−51+51−5−1+51+5−1−500001−51−51+51+500000000−1+5−1+5−1−5−1−5000000000000000000000000000000000000000000000
χ9944-4-44-444-4−1−5−1+5−1−5−1+500440000-4-4001+5−1−51−5−1+51+51−5−1−51+5−1+51−51+5−1−51−5−1+50000−1−5−1−5−1+5−1+5000000001+51+51−51−5000000000000000000000000000000000000000000000
χ10044-4-44-444-4−1−5−1+5−1−5−1+500-4-4000044001+5−1−51−5−1+51+51−5−1−51+5−1+51−51+5−1−51−5−1+500001+51+51−51−500000000−1−5−1−5−1+5−1+5000000000000000000000000000000000000000000000
χ1018-8000000088-8-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000022−22000
χ1028-8000000088-8-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000−2222000
χ10316-160000000−4+45−4−454−454+450000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10416-160000000−4−45−4+454+454−450000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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