Finite Group Databasebeta

← Group #12253882

Character table — Group #12253882

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size112222222222222222244444444444444444444444444444448888888888888888888816161616161616161616161616161616161616162020202020202020202020202020202080808080
order12222444455881010101010108881010101016161616161616162020202020202020404040404040404040404040808080808080808080808080808080802224101010101010101010101010202020202244888816161616161616168888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111
χ711111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1
χ9111-1-1-1-11111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-11-11-111-1-11111-1-1-1-11-11-1
χ10111-1-1-1-11111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-1-11-11-1-111-1-1-1-11111-11-11
χ11111-1-1-1-11111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-111111-11-111-1-11111-1-1-1-1-11-11
χ12111-1-1-1-11111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111-11-11-1-111-1-1-1-111111-11-1
χ13111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111111-1-1-1-1-1-1-1-111111-11-111-1-1-1-1-1-111111-1-11
χ14111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111111-1-1-1-1-1-1-1-11111-11-11-1-1111111-1-1-1-1-111-1
χ15111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-111111111-1-1-1-11-11-111-1-1-1-1-1-11111-111-1
χ16111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-111111111-1-1-1-1-11-11-1-1111111-1-1-1-11-1-11
χ1722222222222-2-2222222-2-2-222220000000022222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000002222-2-2-2-2000000000000
χ1822222222222-2-2222222-2-2-222220000000022222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000-2-2-2-22222000000000000
χ19222222222−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52222−1+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+52−1−52−1−52−1+52−1+52−1+52−1+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+52−1−52−1−5200000000000000000000
χ20222222222−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52222−1+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+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+5200000000000000000000
χ21222222222−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52222−1+52−1+52−1−52−1−52-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+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+5200000000000000000000
χ22222222222−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52222−1+52−1+52−1−52−1−52-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+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+52−1−52−1−5200000000000000000000
χ23222222222−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52222−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+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+5200000000000000000000
χ24222222222−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52222−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+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+521−521−5200000000000000000000
χ25222222222−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52222−1−52−1−52−1+52−1+52-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+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+521−521−5200000000000000000000
χ26222222222−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52222−1−52−1−52−1+52−1+52-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+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+5200000000000000000000
χ2722222-2-2-2-22200222222000222222−2−222−2−2-2-2-2-2-2-2-2-200000000000022−2−222−2−222−2−222−2−20000000000000000000000002i−2i2i−2ii2i2−i2−i2i2i2−i2−i20000
χ2822222-2-2-2-22200222222000222222−2−222−2−2-2-2-2-2-2-2-2-200000000000022−2−222−2−222−2−222−2−2000000000000000000000000−2i2i−2i2i−i2−i2i2i2−i2−i2i2i20000
χ2922222-2-2-2-222002222220002222−2−222−2−222-2-2-2-2-2-2-2-2000000000000−2−222−2−222−2−222−2−2220000000000000000000000002i−2i2i−2i−i2−i2i2i2−i2−i2i2i20000
χ3022222-2-2-2-222002222220002222−2−222−2−222-2-2-2-2-2-2-2-2000000000000−2−222−2−222−2−222−2−222000000000000000000000000−2i2i−2i2ii2i2−i2−i2i2i2−i2−i20000
χ31222-2-222-2-22200222222000-2-2-2-222−2−2−2−222-2-22222-2-200000000000022−2−222−2−2−2−222−2−2220000000000000000000000002i−2i−2i2ii2i2−i2−i2−i2−i2i2i20000
χ32222-2-222-2-22200222222000-2-2-2-222−2−2−2−222-2-22222-2-200000000000022−2−222−2−2−2−222−2−222000000000000000000000000−2i2i2i−2i−i2−i2i2i2i2i2−i2−i20000
χ33222-2-222-2-22200222222000-2-2-2-2−2−22222−2−2-2-22222-2-2000000000000−2−222−2−22222−2−222−2−20000000000000000000000002i−2i−2i2i−i2−i2i2i2i2i2−i2−i20000
χ34222-2-222-2-22200222222000-2-2-2-2−2−22222−2−2-2-22222-2-2000000000000−2−222−2−22222−2−222−2−2000000000000000000000000−2i2i2i−2ii2i2−i2−i2−i2−i2i2i20000
χ35222-2-2-2-22222-2-2222222-222-2-2-2-20000000022-2-2-2-222-2-2-2-2-2-2-2-222220000000000000000000000000000000000002-22-2-2-222000000000000
χ36222-2-2-2-22222-2-2222222-222-2-2-2-20000000022-2-2-2-222-2-2-2-2-2-2-2-22222000000000000000000000000000000000000-22-2222-2-2000000000000
χ37222-2-2-2-222−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−522-2-21−521−521+521+522222-2-2-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+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+5200000000000000000000
χ38222-2-2-2-222−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−522-2-21−521−521+521+522222-2-2-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+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+52−1−52−1−5200000000000000000000
χ39222-2-2-2-222−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−522-2-21−521−521+521+52-2-2-2-22222−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2-22−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000
χ40222-2-2-2-222−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−522-2-21−521−521+521+52-2-2-2-22222−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-222-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000000
χ41222-2-2-2-222−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+522-2-21+521+521−521−522222-2-2-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+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+521−521−5200000000000000000000
χ42222-2-2-2-222−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+522-2-21+521+521−521−522222-2-2-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+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+5200000000000000000000
χ43222-2-2-2-222−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+522-2-21+521+521−521−52-2-2-2-22222−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+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+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+5200000000000000000000
χ44222-2-2-2-222−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+522-2-21+521+521−521−52-2-2-2-22222−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+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+52-222-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000
χ4522-22-22-22-22222-2-2-2-222-22-22-22-22-22-22-22-2-2-22-22-222-2-2-2-222222-22-22-22-22-22-22-22-22-22-20000000000000000000000000000000000000000
χ4622-22-22-22-22222-2-2-2-222-22-22-22-2-22-22-22-22-2-22-22-222-2-2-2-222222-22-2-22-22-22-22-22-22-22-220000000000000000000000000000000000000000
χ4722-22-22-22-222-2-2-2-2-2-2222-222-22-200000000-2-22-22-2222222-2-2-2-2-22-22000000000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i0000
χ4822-22-22-22-222-2-2-2-2-2-2222-222-22-200000000-2-22-22-2222222-2-2-2-2-22-2200000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i0000
χ4922-22-22-22-2−1+52−1−52221−521−521+521+52−1+52−1−52-22-2−1+521−52−1−521+522-22-22-22-21−521+52−1+521−52−1−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+521−52−1−521+52−1+521−52−1+521−52−1−521+52−1−521+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−ζ3600000000000000000000
χ5022-22-22-22-2−1+52−1−52221−521−521+521+52−1+52−1−52-22-2−1+521−52−1−521+522-22-22-22-21−521+52−1+521−52−1−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+521−52−1−521+52−1+521−52−1+521−52−1−521+52−1−521+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+ζ3600000000000000000000
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χ9344-44-4-44-44−1−5−1+5001+51+51−51−5−1−5−1+5000−1−51+5−1+51−522−22−222222−22−2222−1−5−1+51+5−1−51−5−1+51+51−5000000000000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ370000000000000000000000000000000000000000
χ9444-44-4-44-44−1−5−1+5001+51+51−51−5−1−5−1+5000−1−51+5−1+51−5−222222−22−222222−22−1−5−1+51+5−1−51−5−1+51+51−5000000000000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ370000000000000000000000000000000000000000
χ9544-4-444-4-44−1+5−1−5001−51−51+51+5−1+5−1−50001−5−1+51+5−1−522−22−2222−222222−22−1+5−1−5−1+51−5−1−51+51−51+5000000000000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ390000000000000000000000000000000000000000
χ9644-4-444-4-44−1+5−1−5001−51−51+51+5−1+5−1−50001−5−1+51+5−1−5−222222−2222−22−2222−1+5−1−5−1+51−5−1−51+51−51+5000000000000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ390000000000000000000000000000000000000000
χ9744-4-444-4-44−1−5−1+5001+51+51−51−5−1−5−1+50001+5−1−51−5−1+522−22−2222−222222−22−1−5−1+5−1−51+5−1+51−51+51−5000000000000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ370000000000000000000000000000000000000000
χ9844-4-444-4-44−1−5−1+5001+51+51−51−5−1−5−1+50001+5−1−51−5−1+5−222222−2222−22−2222−1−5−1+5−1−51+5−1+51−51+51−5000000000000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ370000000000000000000000000000000000000000
χ9944-4-44-444-4−1+5−1−5-4-41−51−51+51+5−1+5−1−544-41−5−1+51+5−1−5000000001−51+51−5−1+51+5−1−5−1+5−1−5−1+5−1+5−1−5−1−51−51−51+51+5−1+51−5−1−51+500000000000000000000000000000000000000000000000000000000
χ10044-4-44-444-4−1−5−1+5-4-41+51+51−51−5−1−5−1+544-41+5−1−51−5−1+5000000001+51−51+5−1−51−5−1+5−1−5−1+5−1−5−1−5−1+5−1+51+51+51−51−5−1−51+5−1+51−500000000000000000000000000000000000000000000000000000000
χ1018-800000008842−420000-8-800000000000000000000000000042−4242−42000000000000000000000000000000000000000000000000000000000000
χ1028-8000000088−42420000-8-8000000000000000000000000000−4242−4242000000000000000000000000000000000000000000000000000000000000
χ1038-80000000−2+25−2−2542−424ζ12−4ζ28−4ζ12+4ζ28−4ζ4+4ζ364ζ4−4ζ362−252+2500000000000000000000000−2ζ7−2ζ13+2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ37−2ζ21+2ζ29+2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ39−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ372ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ39000000000000000000000000000000000000000000000000000000000000
χ1048-80000000−2+25−2−2542−42−4ζ12+4ζ284ζ12−4ζ284ζ4−4ζ36−4ζ4+4ζ362−252+25000000000000000000000002ζ7+2ζ13−2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ372ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ39−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ372ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ39000000000000000000000000000000000000000000000000000000000000
χ1058-80000000−2+25−2−25−42424ζ12−4ζ28−4ζ12+4ζ28−4ζ4+4ζ364ζ4−4ζ362−252+25000000000000000000000002ζ7+2ζ13−2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ372ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ392ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ39000000000000000000000000000000000000000000000000000000000000
χ1068-80000000−2+25−2−25−4242−4ζ12+4ζ284ζ12−4ζ284ζ4−4ζ36−4ζ4+4ζ362−252+2500000000000000000000000−2ζ7−2ζ13+2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ37−2ζ21+2ζ29+2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ392ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ39000000000000000000000000000000000000000000000000000000000000
χ1078-80000000−2−25−2+2542−42−4ζ4+4ζ364ζ4−4ζ36−4ζ12+4ζ284ζ12−4ζ282+252−25000000000000000000000002ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ39−2ζ7−2ζ13+2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ372ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ39−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ37000000000000000000000000000000000000000000000000000000000000
χ1088-80000000−2−25−2+2542−424ζ4−4ζ36−4ζ4+4ζ364ζ12−4ζ28−4ζ12+4ζ282+252−2500000000000000000000000−2ζ21+2ζ29+2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ392ζ7+2ζ13−2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ372ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ39−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ37000000000000000000000000000000000000000000000000000000000000
χ1098-80000000−2−25−2+25−4242−4ζ4+4ζ364ζ4−4ζ36−4ζ12+4ζ284ζ12−4ζ282+252−2500000000000000000000000−2ζ21+2ζ29+2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ392ζ7+2ζ13−2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ37−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ392ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37000000000000000000000000000000000000000000000000000000000000
χ1108-80000000−2−25−2+25−42424ζ4−4ζ36−4ζ4+4ζ364ζ12−4ζ28−4ζ12+4ζ282+252−25000000000000000000000002ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ39−2ζ7−2ζ13+2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ37−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ392ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37000000000000000000000000000000000000000000000000000000000000

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