Finite Group Databasebeta

← Group #12135348

Character table — Group #12135348

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size112222222222222222244444444444444444444444888888888888888888888888888816161616161616161616161616161616161620202020404040404040404040408080
order1222244445588101020202020888101010101010202020202020404040404040404022244488101010102020202040404040404040404040404088101010102020202040404040404040402244222244888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1
χ411111111111111111111111111111111111111111111-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ5111111111111111111111111111111111111111111-1-11-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ6111111111111111111111111111111111111111111-1-11-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ7111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ911111111111-1-1111111-1-1-1111111111111-1-1-1-1-1-1-1-11-111-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-11-1
χ1011111111111-1-1111111-1-1-1111111111111-1-1-1-1-1-1-1-11-111-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-11
χ1111111111111-1-1111111-1-1-1111111111111-1-1-1-1-1-1-1-11-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1111-1-111-1-1-1-1-1-11111111111-1-111-1-1-1-1-11
χ1211111111111-1-1111111-1-1-1111111111111-1-1-1-1-1-1-1-11-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111-1
χ1311111111111-1-1111111-1-1-1111111111111-1-1-1-1-1-1-1-1-111-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-111111111-1-111-1-111-1-1-11
χ1411111111111-1-1111111-1-1-1111111111111-1-1-1-1-1-1-1-1-111-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-11111-1-1-1-111-1-111-1-1111-1
χ1511111111111-1-1111111-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-11-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-111-1-1111111-1-1-1-11111-1-11111-1-1-1-11-1
χ1611111111111-1-1111111-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-11-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-11
χ17222222222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222222222−1+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+52−1−52−1−52−1−52−1−5222−1+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+52−1−52−1−520000000000000000
χ18222222222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222-222-2-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+520000000000000000
χ19222222222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-22-2-2222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521+521−521+521−521+521−521+521−521−521+521+521−521−521+521+520000000000000000
χ20222222222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-2-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52221−521+521−521+521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ21222222222−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2−1+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+522-222-22-2-2−1+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+522-2−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000
χ22222222222−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2−1+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+522-2-22-2-2221−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-22−1+52−1−521−521+52−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000
χ23222222222−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2−1+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+52-222-222-2-2−1+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+52-221−521+52−1+52−1−521−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000
χ24222222222−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2−1+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+52-22-2-22-2221−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-21−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000
χ25222222222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+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+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+520000000000000000
χ26222222222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222-222-2-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−520000000000000000
χ27222222222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-22-2-2222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521−521+521−521+521−521+521−521+521+521−521−521+521+521−521−520000000000000000
χ28222222222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-2-2-2-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52221+521−521+521−521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ29222222222−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−522-222-22-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−522-2−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000
χ30222222222−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−522-2-22-2-2221+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+52-22−1−52−1+521+521−52−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000
χ31222222222−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-222-222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52-221+521−52−1−52−1+521+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000
χ32222222222−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-22-2-22-2221+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+522-21+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000
χ33222-2-22-22-222002222220002-2-22-2-222-2-2-2-2000000000000002i−2i0000000000002i2i−2i−2i2i2i−2i−2i00000000000000000022-2-200002i−2i000000
χ34222-2-22-22-222002222220002-2-22-2-222-2-2-2-2000000000000002i−2i0000000000002i2i−2i−2i2i2i−2i−2i000000000000000000-2-2220000−2i2i000000
χ35222-2-22-22-222002222220002-2-22-2-222-2-2-2-200000000000000−2i2i000000000000−2i−2i2i2i−2i−2i2i2i00000000000000000022-2-20000−2i2i000000
χ36222-2-22-22-222002222220002-2-22-2-222-2-2-2-200000000000000−2i2i000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000-2-22200002i−2i000000
χ37222-2-2-22-22222222-2-2-2-22-2-22-2-22-2-2-2-2222222-2-222-2-2220-2-2000000000002-22-200000000002222-2-2-2-2000000000000000000000000
χ38222-2-2-22-22222222-2-2-2-22-2-22-2-22-2-2-2-2222222-2-222-2-2-2-2022000000000002-22-20000000000-2-2-2-22222000000000000000000000000
χ39222-2-2-22-2222-2-222-2-2-2-2-2222-2-22-2-2-2-22222-2-222-2-2222-20-2200000000000-22-22000000000022-2-2-2-222000000000000000000000000
χ40222-2-2-22-2222-2-222-2-2-2-2-2222-2-22-2-2-2-22222-2-222-2-222-2202-200000000000-22-220000000000-2-22222-2-2000000000000000000000000
χ41222-2-2-22-22−1+52−1−5222−1+52−1−521−521−521+521+522-2-2−1+521−521−52−1−521+521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+521−521−52−1−52−1−521+521+52220-2-2000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+521−52−1−521+52ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ3600−1+52−1−52−1+52−1−521−521+521−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000000000
χ42222-2-2-22-22−1+52−1−5222−1+52−1−521−521−521+521+522-2-2−1+521−521−52−1−521+521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+521−521−52−1−52−1−521+521+52220-2-2000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+521−52−1−521+52−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ3600−1+52−1−52−1+52−1−521−521+521−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000000000
χ43222-2-2-22-22−1+52−1−5222−1+52−1−521−521−521+521+522-2-2−1+521−521−52−1−521+521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+521−521−52−1−52−1−521+521+52-2-2022000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+521−52−1−521+52ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36001−521+521−521+52−1+52−1−52−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000000000
χ44222-2-2-22-22−1+52−1−5222−1+52−1−521−521−521+521+522-2-2−1+521−521−52−1−521+521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+521−521−52−1−52−1−521+521+52-2-2022000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+521−52−1−521+52−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36001−521+521−521+52−1+52−1−52−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000000000
χ45222-2-2-22-22−1+52−1−52-2-2−1+52−1−521−521−521+521+52-222−1+521−521−52−1−521+521+521−521+52−1+52−1+52−1−52−1−521−521−52−1+52−1+521+521+52−1−52−1−522-20-22000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−52−1+521+52−1−52−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ3600−1+52−1−521−521+521−521+52−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000000000
χ46222-2-2-22-22−1+52−1−52-2-2−1+52−1−521−521−521+521+52-222−1+521−521−52−1−521+521+521−521+52−1+52−1+52−1−52−1−521−521−52−1+52−1+521+521+52−1−52−1−522-20-22000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−52−1+521+52−1−52ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ3600−1+52−1−521−521+521−521+52−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000000000
χ47222-2-2-22-22−1+52−1−52-2-2−1+52−1−521−521−521+521+52-222−1+521−521−52−1−521+521+521−521+52−1+52−1+52−1−52−1−521−521−52−1+52−1+521+521+52−1−52−1−52-2202-2000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−52−1+521+52−1−52−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36001−521+52−1+52−1−52−1+52−1−521−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000000000
χ48222-2-2-22-22−1+52−1−52-2-2−1+52−1−521−521−521+521+52-222−1+521−521−52−1−521+521+521−521+52−1+52−1+52−1−52−1−521−521−52−1+52−1+521+521+52−1−52−1−52-2202-2000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−52−1+521+52−1−52ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36001−521+52−1+52−1−52−1+52−1−521−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000000000
χ49222-2-2-22-22−1−52−1+5222−1−52−1+521+521+521−521−522-2-2−1−521+521+52−1+521−521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−521+521+52−1+52−1+521−521−52220-2-2000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−521+52−1+521−52−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ2800−1−52−1+52−1−52−1+521+521−521+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000000000000
χ50222-2-2-22-22−1−52−1+5222−1−52−1+521+521+521−521−522-2-2−1−521+521+52−1+521−521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−521+521+52−1+52−1+521−521−52220-2-2000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−521+52−1+521−52ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ2800−1−52−1+52−1−52−1+521+521−521+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000000000000
χ51222-2-2-22-22−1−52−1+5222−1−52−1+521+521+521−521−522-2-2−1−521+521+52−1+521−521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−521+521+52−1+52−1+521−521−52-2-2022000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−521+52−1+521−52−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28001+521−521+521−52−1−52−1+52−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000000000000
χ52222-2-2-22-22−1−52−1+5222−1−52−1+521+521+521−521−522-2-2−1−521+521+52−1+521−521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−521+521+52−1+52−1+521−521−52-2-2022000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−521+52−1+521−52ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28001+521−521+521−52−1−52−1+52−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000000000000
χ53222-2-2-22-22−1−52−1+52-2-2−1−52−1+521+521+521−521−52-222−1−521+521+52−1+521−521−521+521−52−1−52−1−52−1+52−1+521+521+52−1−52−1−521−521−52−1+52−1+522-20-22000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+52−1−521−52−1+52ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ2800−1−52−1+521+521−521+521−52−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000000000000
χ54222-2-2-22-22−1−52−1+52-2-2−1−52−1+521+521+521−521−52-222−1−521+521+52−1+521−521−521+521−52−1−52−1−52−1+52−1+521+521+52−1−52−1−521−521−52−1+52−1+522-20-22000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+52−1−521−52−1+52−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ2800−1−52−1+521+521−521+521−52−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000000000000
χ55222-2-2-22-22−1−52−1+52-2-2−1−52−1+521+521+521−521−52-222−1−521+521+52−1+521−521−521+521−52−1−52−1−52−1+52−1+521+521+52−1−52−1−521−521−52−1+52−1+52-2202-2000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+52−1−521−52−1+52ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28001+521−52−1−52−1+52−1−52−1+521+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000000000000
χ56222-2-2-22-22−1−52−1+52-2-2−1−52−1+521+521+521−521−52-222−1−521+521+52−1+521−521−521+521−52−1−52−1−52−1+52−1+521+521+52−1−52−1−521−521−52−1+52−1+52-2202-2000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+52−1−521−52−1+52−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28001+521−52−1−52−1+52−1−52−1+521+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000000000000
χ5722-22-2-2-222222222-2-2-2-2-22-2-22-2-22-2222-22-222-2-222-2-20000000000000000-22-22000000000000000000000000002-22-2000000002-200
χ5822-22-2-2-222222222-2-2-2-2-22-2-22-2-22-2222-22-222-2-222-2-20000000000000000-22-2200000000000000000000000000-22-2200000000-2200
χ5922-22-2-2-22222-2-222-2-2-2-22-22-22-2-22-2222-22-2-2-222-2-22200000000000000002-22-2000000000000000000000000002-22-200000000-2200
χ6022-22-2-2-22222-2-222-2-2-2-22-22-22-2-22-2222-22-2-2-222-2-22200000000000000002-22-200000000000000000000000000-22-22000000002-200
χ6122-2-222-2-222222222222-2-22-2-22-2-22-2-22-22-2222222220000000000000000-2-2-2-20000000000000000000000000000002-22-200000000
χ6222-2-222-2-222222222222-2-22-2-22-2-22-2-22-22-2222222220000000000000000-2-2-2-2000000000000000000000000000000-22-2200000000
χ6322-2-222-2-2222-2-222222222-2-2-22-2-22-2-22-22-2-2-2-2-2-2-2-2-2000000000000000022220000000000000000000000000000002-2-2200000000
χ6422-2-222-2-2222-2-222222222-2-2-22-2-22-2-22-22-2-2-2-2-2-2-2-2-200000000000000002222000000000000000000000000000000-222-200000000
χ6522-2-22-222-2220022-2-2-2-2000-2-22-2-2222-22-220000000000200-2002222-2-2-2-20000000000000000000000000000002-2-220000002-20000
χ6622-2-22-222-2220022-2-2-2-2000-2-22-2-2222-22-220000000000200-2002222-2-2-2-2000000000000000000000000000000-222-2000000-220000
χ6722-2-22-222-2220022-2-2-2-2000-2-22-2-2222-22-220000000000-200200-2-2-2-222220000000000000000000000000000002-2-22000000-220000
χ6822-2-22-222-2220022-2-2-2-2000-2-22-2-2222-22-220000000000-200200-2-2-2-22222000000000000000000000000000000-222-20000002-20000
χ6944444-4-4-4-4440044-4-4-4-4000444444-4-4-4-4-4-40000000000000000000000000000000000000000000000000000000000000000000000
χ7044444-4-4-4-4−1+5−1−500−1+5−1−51−51−51+51+5000−1+5−1+5−1+5−1−5−1−5−1−51−51+51−51−51+51+50000000000000000000000000000−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ140000000000000000000000000000000000
χ7144444-4-4-4-4−1+5−1−500−1+5−1−51−51−51+51+5000−1+5−1+5−1+5−1−5−1−5−1−51−51+51−51−51+51+500000000000000000000000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ140000000000000000000000000000000000
χ7244444-4-4-4-4−1−5−1+500−1−5−1+51+51+51−51−5000−1−5−1−5−1−5−1+5−1+5−1+51+51−51+51+51−51−500000000000000000000000000002ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ380000000000000000000000000000000000
χ7344444-4-4-4-4−1−5−1+500−1−5−1+51+51+51−51−5000−1−5−1−5−1−5−1+5−1+5−1+51+51−51+51+51−51−50000000000000000000000000000−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ380000000000000000000000000000000000
χ74444-4-44-44-4−1+5−1−500−1+5−1−5−1+5−1+5−1−5−1−5000−1+51−51−5−1−51+51+5−1+5−1−51−51−51+51+5000000000000004i−4i000000000000−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ140000000000000000000000000000000000
χ75444-4-44-44-4−1+5−1−500−1+5−1−5−1+5−1+5−1−5−1−5000−1+51−51−5−1−51+51+5−1+5−1−51−51−51+51+500000000000000−4i4i0000000000002ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ140000000000000000000000000000000000
χ76444-4-44-44-4−1−5−1+500−1−5−1+5−1−5−1−5−1+5−1+5000−1−51+51+5−1+51−51−5−1−5−1+51+51+51−51−5000000000000004i−4i000000000000−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ14−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ380000000000000000000000000000000000
χ77444-4-44-44-4−1−5−1+500−1−5−1+5−1−5−1−5−1+5−1+5000−1−51+51+5−1+51−51−5−1−5−1+51+51+51−51−500000000000000−4i4i0000000000002ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ142ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ380000000000000000000000000000000000
χ7844-44-444-4-44400444444000-44-4-44-4-4-4-44-440000000000000000000000000000000000000000000000000000000000000000000000
χ7944-44-444-4-4−1+5−1−500−1+5−1−5−1+5−1+5−1−5−1−50001−5−1+51−51+5−1−51+51−51+51−5−1+51+5−1−500000000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ360000000000000000000000000000000000000000000000
χ8044-44-444-4-4−1+5−1−500−1+5−1−5−1+5−1+5−1−5−1−50001−5−1+51−51+5−1−51+51−51+51−5−1+51+5−1−50000000000000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ360000000000000000000000000000000000000000000000
χ8144-44-444-4-4−1−5−1+500−1−5−1+5−1−5−1−5−1+5−1+50001+5−1−51+51−5−1+51−51+51−51+5−1−51−5−1+50000000000000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ280000000000000000000000000000000000000000000000
χ8244-44-444-4-4−1−5−1+500−1−5−1+5−1−5−1−5−1+5−1+50001+5−1−51+51−5−1+51−51+51−51+5−1−51−5−1+500000000000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ280000000000000000000000000000000000000000000000
χ8344-44-4-4-444−1+5−1−544−1+5−1−51−51−51+51+5-44-41−5−1+51−51+5−1−51+5−1+5−1−5−1+51−5−1−51+5−1+5−1+51−51−5−1−5−1−51+51+500000000000000001−5−1+51+5−1−5000000000000000000000000000000000000000000
χ8444-44-4-4-444−1+5−1−5-4-4−1+5−1−51−51−51+51+54-441−5−1+51−51+5−1−51+5−1+5−1−5−1+51−5−1−51+51−51−5−1+5−1+51+51+5−1−5−1−50000000000000000−1+51−5−1−51+5000000000000000000000000000000000000000000
χ8544-44-4-4-444−1−5−1+544−1−5−1+51+51+51−51−5-44-41+5−1−51+51−5−1+51−5−1−5−1+5−1−51+5−1+51−5−1−5−1−51+51+5−1+5−1+51−51−500000000000000001+5−1−51−5−1+5000000000000000000000000000000000000000000
χ8644-44-4-4-444−1−5−1+5-4-4−1−5−1+51+51+51−51−54-441+5−1−51+51−5−1+51−5−1−5−1+5−1−51+5−1+51−51+51+5−1−5−1−51−51−5−1+5−1+50000000000000000−1−51+5−1+51−5000000000000000000000000000000000000000000
χ8744-4-444-4-44−1+5−1−544−1+5−1−5−1+5−1+5−1−5−1−5-4-441−51−5−1+51+51+5−1−51−51+5−1+51−5−1−51+5−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−500000000000000001−51−51+51+5000000000000000000000000000000000000000000
χ8844-4-444-4-44−1+5−1−5-4-4−1+5−1−5−1+5−1+5−1−5−1−544-41−51−5−1+51+51+5−1−51−51+5−1+51−5−1−51+51−51−51−51−51+51+51+51+50000000000000000−1+5−1+5−1−5−1−5000000000000000000000000000000000000000000
χ8944-4-444-4-44−1−5−1+544−1−5−1+5−1−5−1−5−1+5−1+5-4-441+51+5−1−51−51−5−1+51+51−5−1−51+5−1+51−5−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+500000000000000001+51+51−51−5000000000000000000000000000000000000000000
χ9044-4-444-4-44−1−5−1+5-4-4−1−5−1+5−1−5−1−5−1+5−1+544-41+51+5−1−51−51−5−1+51+51−5−1−51+5−1+51−51+51+51+51+51−51−51−51−50000000000000000−1−5−1−5−1+5−1+5000000000000000000000000000000000000000000
χ9144-4-44-444-4−1+5−1−500−1+5−1−51−51−51+51+50001−51−5−1+51+51+5−1−5−1+5−1−51−5−1+51+5−1−50000000000400-400−1+5−1+5−1−5−1−51−51−51+51+50000000000000000000000000000000000000000000000
χ9244-4-44-444-4−1+5−1−500−1+5−1−51−51−51+51+50001−51−5−1+51+51+5−1−5−1+5−1−51−5−1+51+5−1−50000000000-4004001−51−51+51+5−1+5−1+5−1−5−1−50000000000000000000000000000000000000000000000
χ9344-4-44-444-4−1−5−1+500−1−5−1+51+51+51−51−50001+51+5−1−51−51−5−1+5−1−5−1+51+5−1−51−5−1+50000000000400-400−1−5−1−5−1+5−1+51+51+51−51−50000000000000000000000000000000000000000000000
χ9444-4-44-444-4−1−5−1+500−1−5−1+51+51+51−51−50001+51+5−1−51−51−5−1+5−1−5−1+51+5−1−51−5−1+50000000000-4004001+51+51−51−5−1−5−1−5−1+5−1+50000000000000000000000000000000000000000000000
χ958-800000008842−42-8-8000000000000000000042−420042−420000000000000000000000000000000000000000000000000000000000000000
χ968-8000000088−4242-8-80000000000000000000−424200−42420000000000000000000000000000000000000000000000000000000000000000
χ978-80000000−2+25−2−2542−422−252+25−4ζ22+4ζ384ζ22−4ζ384ζ6−4ζ14−4ζ6+4ζ14000000000000000−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ372ζ7−2ζ13−2ζ23+2ζ37−2ζ7+2ζ13+2ζ23−2ζ372ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ39−2ζ21+2ζ29−2ζ31+2ζ392ζ21−2ζ29+2ζ31−2ζ3900000000000000000000000000000000000000000000000000000000000000
χ988-80000000−2+25−2−2542−422−252+254ζ22−4ζ38−4ζ22+4ζ38−4ζ6+4ζ144ζ6−4ζ14000000000000000−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13+2ζ23−2ζ372ζ7−2ζ13−2ζ23+2ζ372ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ392ζ21−2ζ29+2ζ31−2ζ39−2ζ21+2ζ29−2ζ31+2ζ3900000000000000000000000000000000000000000000000000000000000000
χ998-80000000−2+25−2−25−42422−252+25−4ζ22+4ζ384ζ22−4ζ384ζ6−4ζ14−4ζ6+4ζ140000000000000002ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37−2ζ7+2ζ13+2ζ23−2ζ372ζ7−2ζ13−2ζ23+2ζ37−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ392ζ21−2ζ29+2ζ31−2ζ39−2ζ21+2ζ29−2ζ31+2ζ3900000000000000000000000000000000000000000000000000000000000000
χ1008-80000000−2+25−2−25−42422−252+254ζ22−4ζ38−4ζ22+4ζ38−4ζ6+4ζ144ζ6−4ζ140000000000000002ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13−2ζ23+2ζ37−2ζ7+2ζ13+2ζ23−2ζ37−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ39−2ζ21+2ζ29−2ζ31+2ζ392ζ21−2ζ29+2ζ31−2ζ3900000000000000000000000000000000000000000000000000000000000000
χ1018-80000000−2−25−2+2542−422+252−254ζ6−4ζ14−4ζ6+4ζ144ζ22−4ζ38−4ζ22+4ζ380000000000000002ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ39−2ζ21+2ζ29−2ζ31+2ζ392ζ21−2ζ29+2ζ31−2ζ39−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13+2ζ23−2ζ372ζ7−2ζ13−2ζ23+2ζ3700000000000000000000000000000000000000000000000000000000000000
χ1028-80000000−2−25−2+2542−422+252−25−4ζ6+4ζ144ζ6−4ζ14−4ζ22+4ζ384ζ22−4ζ380000000000000002ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ392ζ21−2ζ29+2ζ31−2ζ39−2ζ21+2ζ29−2ζ31+2ζ39−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ372ζ7−2ζ13−2ζ23+2ζ37−2ζ7+2ζ13+2ζ23−2ζ3700000000000000000000000000000000000000000000000000000000000000
χ1038-80000000−2−25−2+25−42422+252−254ζ6−4ζ14−4ζ6+4ζ144ζ22−4ζ38−4ζ22+4ζ38000000000000000−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ392ζ21−2ζ29+2ζ31−2ζ39−2ζ21+2ζ29−2ζ31+2ζ392ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13−2ζ23+2ζ37−2ζ7+2ζ13+2ζ23−2ζ3700000000000000000000000000000000000000000000000000000000000000
χ1048-80000000−2−25−2+25−42422+252−25−4ζ6+4ζ144ζ6−4ζ14−4ζ22+4ζ384ζ22−4ζ38000000000000000−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ39−2ζ21+2ζ29−2ζ31+2ζ392ζ21−2ζ29+2ζ31−2ζ392ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37−2ζ7+2ζ13+2ζ23−2ζ372ζ7−2ζ13−2ζ23+2ζ3700000000000000000000000000000000000000000000000000000000000000

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