Finite Group Databasebeta

← Group #12019174

Character table — Group #12019174

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size1111222222222222222222222222224444444444444444444444444444444444444444444444444444444444444444441616161616161616161616161616161616161616404040404040404080808080
order1222224444558888101010101010101010101010101088161616161616161620202020202020204040404040404040404040404040404080808080808080808080808080808080808080808080808080808080808080804444202020202020202020202020202020202488161616168888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ9222222222222-2-2-2-222222222222222-2-20000000022222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000022-2-200000000
χ10222222222222-2-2-2-222222222222222-2-20000000022222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000-2-22200000000
χ112222222222−1+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+52−1−522222222222−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000000
χ122222222222−1+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+52−1−522222222222−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52-2-2-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52000000000000
χ132222222222−1+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+52−1−5222-2-2-2-2-2-2-2-2−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1+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+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+52000000000000
χ142222222222−1+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+52−1−5222-2-2-2-2-2-2-2-2−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1+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+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+52−1−52−1−52−1−52−1−52000000000000
χ152222222222−1−52−1+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+522222222222−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+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+52000000000000
χ162222222222−1−52−1+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+522222222222−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+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+521−521−521−521−52000000000000
χ172222222222−1−52−1+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+5222-2-2-2-2-2-2-2-2−1−52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−5222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52000000000000
χ182222222222−1−52−1+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+5222-2-2-2-2-2-2-2-2−1−52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−52-2-2221+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000000
χ19222222-2-2-2-222000022222222222222002222−2−2−2−2-2-2-2-2-2-2-2-2000000000000000022222222−2−2−2−2−2−2−2−222222222−2−2−2−2−2−2−2−200000000000000000000002i−2ii2i2−i2−i20000
χ20222222-2-2-2-222000022222222222222002222−2−2−2−2-2-2-2-2-2-2-2-2000000000000000022222222−2−2−2−2−2−2−2−222222222−2−2−2−2−2−2−2−20000000000000000000000−2i2i−i2−i2i2i20000
χ21222222-2-2-2-22200002222222222222200−2−2−2−22222-2-2-2-2-2-2-2-20000000000000000−2−2−2−2−2−2−2−222222222−2−2−2−2−2−2−2−22222222200000000000000000000002i−2i−i2−i2i2i20000
χ22222222-2-2-2-22200002222222222222200−2−2−2−22222-2-2-2-2-2-2-2-20000000000000000−2−2−2−2−2−2−2−222222222−2−2−2−2−2−2−2−2222222220000000000000000000000−2i2ii2i2−i2−i20000
χ232222-2-222-2-22222222-2-2-2-22-2-2-2-22222-2-222-2-222-2-22-2-22-2-22222-2-2-2-222-2-2-2-222222222-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-200000000000000000000000000000000
χ242222-2-222-2-22222222-2-2-2-22-2-2-2-22222-2-2-2-222-2-2222-2-22-2-22222-2-2-2-222-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-2222200000000000000000000000000000000
χ252222-2-222-2-222-2-2-2-22-2-2-2-22-2-2-2-2222222000000002-2-22-2-222-2-22222-2-22222-2-2-2-2000000000000000000000000000000000000000000000000000000002i−2i2i−2i0000
χ262222-2-222-2-222-2-2-2-22-2-2-2-22-2-2-2-2222222000000002-2-22-2-222-2-22222-2-22222-2-2-2-200000000000000000000000000000000000000000000000000000000−2i2i−2i2i0000
χ272222-2-222-2-2−1+52−1−522222−1+521−521−521−521−52−1−521+521+521+521+52−1+52−1−52−1+52−1−52-2-222-2-222-2-2−1+521−521−52−1−521+521+52−1+52−1−52−1+52−1+521−521−521−521−52−1−52−1−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+52−1+52−1+521−521−521−521−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−52−1−52−1−521+521+521+521+520000ζ24−ζ56ζ24−ζ56−ζ24+ζ56−ζ24+ζ56−ζ8+ζ72−ζ8+ζ72ζ8−ζ72ζ8−ζ72ζ24−ζ56ζ24−ζ56−ζ24+ζ56−ζ24+ζ56−ζ8+ζ72−ζ8+ζ72ζ8−ζ72ζ8−ζ72000000000000
χ282222-2-222-2-2−1+52−1−522222−1+521−521−521−521−52−1−521+521+521+521+52−1+52−1−52−1+52−1−52-2-222-2-222-2-2−1+521−521−52−1−521+521+52−1+52−1−52−1+52−1+521−521−521−521−52−1−52−1−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+52−1+52−1+521−521−521−521−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−52−1−52−1−521+521+521+521+520000−ζ24+ζ56−ζ24+ζ56ζ24−ζ56ζ24−ζ56ζ8−ζ72ζ8−ζ72−ζ8+ζ72−ζ8+ζ72−ζ24+ζ56−ζ24+ζ56ζ24−ζ56ζ24−ζ56ζ8−ζ72ζ8−ζ72−ζ8+ζ72−ζ8+ζ72000000000000
χ292222-2-222-2-2−1+52−1−522222−1+521−521−521−521−52−1−521+521+521+521+52−1+52−1−52−1+52−1−52-2-2-2-222-2-222−1+521−521−52−1−521+521+52−1+52−1−52−1+52−1+521−521−521−521−52−1−52−1−521+521+521+521+52−1+52−1+52−1−52−1−521−521−521−521−52−1+52−1+52−1+52−1+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+52−1−52−1−52−1−52−1−520000ζ24−ζ56ζ24−ζ56−ζ24+ζ56−ζ24+ζ56−ζ8+ζ72−ζ8+ζ72ζ8−ζ72ζ8−ζ72−ζ24+ζ56−ζ24+ζ56ζ24−ζ56ζ24−ζ56ζ8−ζ72ζ8−ζ72−ζ8+ζ72−ζ8+ζ72000000000000
χ302222-2-222-2-2−1+52−1−522222−1+521−521−521−521−52−1−521+521+521+521+52−1+52−1−52−1+52−1−52-2-2-2-222-2-222−1+521−521−52−1−521+521+52−1+52−1−52−1+52−1+521−521−521−521−52−1−52−1−521+521+521+521+52−1+52−1+52−1−52−1−521−521−521−521−52−1+52−1+52−1+52−1+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+52−1−52−1−52−1−52−1−520000−ζ24+ζ56−ζ24+ζ56ζ24−ζ56ζ24−ζ56ζ8−ζ72ζ8−ζ72−ζ8+ζ72−ζ8+ζ72ζ24−ζ56ζ24−ζ56−ζ24+ζ56−ζ24+ζ56−ζ8+ζ72−ζ8+ζ72ζ8−ζ72ζ8−ζ72000000000000
χ312222-2-222-2-2−1−52−1+522222−1−521+521+521+521+52−1+521−521−521−521−52−1−52−1+52−1−52−1+52-2-222-2-222-2-2−1−521+521+52−1+521−521−52−1−52−1+52−1−52−1−521+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+521+521+521+52−1−52−1−52−1−52−1−521+521+521+521+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+52−1+52−1+521−521−521−521−520000−ζ8+ζ72−ζ8+ζ72ζ8−ζ72ζ8−ζ72−ζ24+ζ56−ζ24+ζ56ζ24−ζ56ζ24−ζ56−ζ8+ζ72−ζ8+ζ72ζ8−ζ72ζ8−ζ72−ζ24+ζ56−ζ24+ζ56ζ24−ζ56ζ24−ζ56000000000000
χ322222-2-222-2-2−1−52−1+522222−1−521+521+521+521+52−1+521−521−521−521−52−1−52−1+52−1−52−1+52-2-222-2-222-2-2−1−521+521+52−1+521−521−52−1−52−1+52−1−52−1−521+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+521+521+521+52−1−52−1−52−1−52−1−521+521+521+521+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+52−1+52−1+521−521−521−521−520000ζ8−ζ72ζ8−ζ72−ζ8+ζ72−ζ8+ζ72ζ24−ζ56ζ24−ζ56−ζ24+ζ56−ζ24+ζ56ζ8−ζ72ζ8−ζ72−ζ8+ζ72−ζ8+ζ72ζ24−ζ56ζ24−ζ56−ζ24+ζ56−ζ24+ζ56000000000000
χ332222-2-222-2-2−1−52−1+522222−1−521+521+521+521+52−1+521−521−521−521−52−1−52−1+52−1−52−1+52-2-2-2-222-2-222−1−521+521+52−1+521−521−52−1−52−1+52−1−52−1−521+521+521+521+52−1+52−1+521−521−521−521−52−1−52−1−52−1+52−1+521+521+521+521+52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−52−1−52−1−521−521−521−521−52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+52−1+52−1+520000−ζ8+ζ72−ζ8+ζ72ζ8−ζ72ζ8−ζ72−ζ24+ζ56−ζ24+ζ56ζ24−ζ56ζ24−ζ56ζ8−ζ72ζ8−ζ72−ζ8+ζ72−ζ8+ζ72ζ24−ζ56ζ24−ζ56−ζ24+ζ56−ζ24+ζ56000000000000
χ342222-2-222-2-2−1−52−1+522222−1−521+521+521+521+52−1+521−521−521−521−52−1−52−1+52−1−52−1+52-2-2-2-222-2-222−1−521+521+52−1+521−521−52−1−52−1+52−1−52−1−521+521+521+521+52−1+52−1+521−521−521−521−52−1−52−1−52−1+52−1+521+521+521+521+52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−52−1−52−1−521−521−521−521−52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+52−1+52−1+520000ζ8−ζ72ζ8−ζ72−ζ8+ζ72−ζ8+ζ72ζ24−ζ56ζ24−ζ56−ζ24+ζ56−ζ24+ζ56−ζ8+ζ72−ζ8+ζ72ζ8−ζ72ζ8−ζ72−ζ24+ζ56−ζ24+ζ56ζ24−ζ56ζ24−ζ56000000000000
χ352222-2-2-2-2222200002-2-2-2-22-2-2-2-222220022−2−2−2−222-222-222-2-200000000000000002222−2−2−2−2−2−2−2−222222222−2−2−2−2−2−2−2−22222000000000000000000002-2002−2−220000
χ362222-2-2-2-2222200002-2-2-2-22-2-2-2-222220022−2−2−2−222-222-222-2-200000000000000002222−2−2−2−2−2−2−2−222222222−2−2−2−2−2−2−2−2222200000000000000000000-2200−222−20000
χ372222-2-2-2-2222200002-2-2-2-22-2-2-2-2222200−2−22222−2−2-222-222-2-20000000000000000−2−2−2−222222222−2−2−2−2−2−2−2−222222222−2−2−2−2000000000000000000002-200−222−20000
χ382222-2-2-2-2222200002-2-2-2-22-2-2-2-2222200−2−22222−2−2-222-222-2-20000000000000000−2−2−2−222222222−2−2−2−2−2−2−2−222222222−2−2−2−200000000000000000000-22002−2−220000
χ392-22-22-2-222-22222-2-2-222-2-2-222-2-222-2-22-200000000-22-2-22-222-2-222-2-2-2-222-2-2222200000000000000000000000000000000002i−2i000000002i−2i2i−2i2i−2i2i−2i000000000000
χ402-22-22-2-222-22222-2-2-222-2-2-222-2-222-2-22-200000000-22-2-22-222-2-222-2-2-2-222-2-222220000000000000000000000000000000000−2i2i00000000−2i2i−2i2i−2i2i−2i2i000000000000
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χ1224-4-44000000−1−5−1+522−22−22221+5−2ζ8+2ζ722ζ8−2ζ722ζ8−2ζ72−2ζ8+2ζ721−5−2ζ24+2ζ562ζ24−2ζ562ζ24−2ζ56−2ζ24+2ζ561+51−5−1−5−1+5002ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ77−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ7700−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ792ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ790000000000−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ42−ζ58−ζ62+ζ78−ζ42+ζ58+ζ62−ζ78−ζ42+ζ58+ζ62−ζ78ζ42−ζ58−ζ62+ζ78ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74−ζ14−ζ26+ζ46+ζ74ζ14+ζ26−ζ46−ζ74ζ14+ζ26−ζ46−ζ74−ζ14−ζ26+ζ46+ζ74ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74ζ13−ζ27−ζ43+ζ77−ζ13+ζ27+ζ43−ζ77−ζ13+ζ27+ζ43−ζ77ζ13−ζ27−ζ43+ζ77ζ13+ζ27−ζ43−ζ77−ζ13−ζ27+ζ43+ζ77−ζ13−ζ27+ζ43+ζ77ζ13+ζ27−ζ43−ζ77−ζ47+ζ57−ζ63+ζ73ζ47−ζ57+ζ63−ζ73ζ47−ζ57+ζ63−ζ73−ζ47+ζ57−ζ63+ζ73ζ47−ζ57−ζ63+ζ73−ζ47+ζ57+ζ63−ζ73−ζ47+ζ57+ζ63−ζ73ζ47−ζ57−ζ63+ζ73ζ11−ζ29+ζ59−ζ61−ζ11+ζ29−ζ59+ζ61−ζ11+ζ29−ζ59+ζ61ζ11−ζ29+ζ59−ζ61ζ11+ζ29−ζ59−ζ61−ζ11−ζ29+ζ59+ζ61−ζ11−ζ29+ζ59+ζ61ζ11+ζ29−ζ59−ζ61−ζ9+ζ31−ζ41+ζ79ζ9−ζ31+ζ41−ζ79ζ9−ζ31+ζ41−ζ79−ζ9+ζ31−ζ41+ζ79ζ9+ζ31−ζ41−ζ79−ζ9−ζ31+ζ41+ζ79−ζ9−ζ31+ζ41+ζ79ζ9+ζ31−ζ41−ζ7900000000000000000000000000000000
χ1234-4-44000000−1−5−1+522−22−22221+52ζ8−2ζ72−2ζ8+2ζ72−2ζ8+2ζ722ζ8−2ζ721−52ζ24−2ζ56−2ζ24+2ζ56−2ζ24+2ζ562ζ24−2ζ561+51−5−1−5−1+500−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ772ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ77002ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ79−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ790000000000−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78−ζ42+ζ58+ζ62−ζ78ζ42−ζ58−ζ62+ζ78ζ42−ζ58−ζ62+ζ78−ζ42+ζ58+ζ62−ζ78ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74ζ14+ζ26−ζ46−ζ74−ζ14−ζ26+ζ46+ζ74−ζ14−ζ26+ζ46+ζ74ζ14+ζ26−ζ46−ζ74ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74−ζ13+ζ27+ζ43−ζ77ζ13−ζ27−ζ43+ζ77ζ13−ζ27−ζ43+ζ77−ζ13+ζ27+ζ43−ζ77ζ13+ζ27−ζ43−ζ77−ζ13−ζ27+ζ43+ζ77−ζ13−ζ27+ζ43+ζ77ζ13+ζ27−ζ43−ζ77ζ47−ζ57+ζ63−ζ73−ζ47+ζ57−ζ63+ζ73−ζ47+ζ57−ζ63+ζ73ζ47−ζ57+ζ63−ζ73ζ47−ζ57−ζ63+ζ73−ζ47+ζ57+ζ63−ζ73−ζ47+ζ57+ζ63−ζ73ζ47−ζ57−ζ63+ζ73−ζ11+ζ29−ζ59+ζ61ζ11−ζ29+ζ59−ζ61ζ11−ζ29+ζ59−ζ61−ζ11+ζ29−ζ59+ζ61ζ11+ζ29−ζ59−ζ61−ζ11−ζ29+ζ59+ζ61−ζ11−ζ29+ζ59+ζ61ζ11+ζ29−ζ59−ζ61ζ9−ζ31+ζ41−ζ79−ζ9+ζ31−ζ41+ζ79−ζ9+ζ31−ζ41+ζ79ζ9−ζ31+ζ41−ζ79ζ9+ζ31−ζ41−ζ79−ζ9−ζ31+ζ41+ζ79−ζ9−ζ31+ζ41+ζ79ζ9+ζ31−ζ41−ζ7900000000000000000000000000000000
χ1244-4-44000000−1−5−1+522−22−22221+52ζ8−2ζ72−2ζ8+2ζ72−2ζ8+2ζ722ζ8−2ζ721−52ζ24−2ζ56−2ζ24+2ζ56−2ζ24+2ζ562ζ24−2ζ561+51−5−1−5−1+5002ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ77−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ7700−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ792ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ790000000000−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78−ζ42+ζ58+ζ62−ζ78ζ42−ζ58−ζ62+ζ78ζ42−ζ58−ζ62+ζ78−ζ42+ζ58+ζ62−ζ78ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74ζ14+ζ26−ζ46−ζ74−ζ14−ζ26+ζ46+ζ74−ζ14−ζ26+ζ46+ζ74ζ14+ζ26−ζ46−ζ74ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74ζ13−ζ27−ζ43+ζ77−ζ13+ζ27+ζ43−ζ77−ζ13+ζ27+ζ43−ζ77ζ13−ζ27−ζ43+ζ77−ζ13−ζ27+ζ43+ζ77ζ13+ζ27−ζ43−ζ77ζ13+ζ27−ζ43−ζ77−ζ13−ζ27+ζ43+ζ77−ζ47+ζ57−ζ63+ζ73ζ47−ζ57+ζ63−ζ73ζ47−ζ57+ζ63−ζ73−ζ47+ζ57−ζ63+ζ73−ζ47+ζ57+ζ63−ζ73ζ47−ζ57−ζ63+ζ73ζ47−ζ57−ζ63+ζ73−ζ47+ζ57+ζ63−ζ73ζ11−ζ29+ζ59−ζ61−ζ11+ζ29−ζ59+ζ61−ζ11+ζ29−ζ59+ζ61ζ11−ζ29+ζ59−ζ61−ζ11−ζ29+ζ59+ζ61ζ11+ζ29−ζ59−ζ61ζ11+ζ29−ζ59−ζ61−ζ11−ζ29+ζ59+ζ61−ζ9+ζ31−ζ41+ζ79ζ9−ζ31+ζ41−ζ79ζ9−ζ31+ζ41−ζ79−ζ9+ζ31−ζ41+ζ79−ζ9−ζ31+ζ41+ζ79ζ9+ζ31−ζ41−ζ79ζ9+ζ31−ζ41−ζ79−ζ9−ζ31+ζ41+ζ7900000000000000000000000000000000
χ1254-4-44000000−1−5−1+5−222222−221+5−2ζ8+2ζ722ζ8−2ζ722ζ8−2ζ72−2ζ8+2ζ721−5−2ζ24+2ζ562ζ24−2ζ562ζ24−2ζ56−2ζ24+2ζ561+51−5−1−5−1+5002ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ79−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ79002ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ77−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ770000000000ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78−ζ42+ζ58+ζ62−ζ78ζ42−ζ58−ζ62+ζ78ζ42−ζ58−ζ62+ζ78−ζ42+ζ58+ζ62−ζ78−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74ζ14+ζ26−ζ46−ζ74−ζ14−ζ26+ζ46+ζ74−ζ14−ζ26+ζ46+ζ74ζ14+ζ26−ζ46−ζ74−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74ζ47−ζ57+ζ63−ζ73−ζ47+ζ57−ζ63+ζ73−ζ47+ζ57−ζ63+ζ73ζ47−ζ57+ζ63−ζ73−ζ47+ζ57+ζ63−ζ73ζ47−ζ57−ζ63+ζ73ζ47−ζ57−ζ63+ζ73−ζ47+ζ57+ζ63−ζ73ζ13−ζ27−ζ43+ζ77−ζ13+ζ27+ζ43−ζ77−ζ13+ζ27+ζ43−ζ77ζ13−ζ27−ζ43+ζ77ζ13+ζ27−ζ43−ζ77−ζ13−ζ27+ζ43+ζ77−ζ13−ζ27+ζ43+ζ77ζ13+ζ27−ζ43−ζ77ζ9−ζ31+ζ41−ζ79−ζ9+ζ31−ζ41+ζ79−ζ9+ζ31−ζ41+ζ79ζ9−ζ31+ζ41−ζ79−ζ9−ζ31+ζ41+ζ79ζ9+ζ31−ζ41−ζ79ζ9+ζ31−ζ41−ζ79−ζ9−ζ31+ζ41+ζ79ζ11−ζ29+ζ59−ζ61−ζ11+ζ29−ζ59+ζ61−ζ11+ζ29−ζ59+ζ61ζ11−ζ29+ζ59−ζ61ζ11+ζ29−ζ59−ζ61−ζ11−ζ29+ζ59+ζ61−ζ11−ζ29+ζ59+ζ61ζ11+ζ29−ζ59−ζ6100000000000000000000000000000000
χ1264-4-44000000−1−5−1+5−222222−221+5−2ζ8+2ζ722ζ8−2ζ722ζ8−2ζ72−2ζ8+2ζ721−5−2ζ24+2ζ562ζ24−2ζ562ζ24−2ζ56−2ζ24+2ζ561+51−5−1−5−1+500−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ792ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ7900−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ772ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ770000000000ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78−ζ42+ζ58+ζ62−ζ78ζ42−ζ58−ζ62+ζ78ζ42−ζ58−ζ62+ζ78−ζ42+ζ58+ζ62−ζ78−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74ζ14+ζ26−ζ46−ζ74−ζ14−ζ26+ζ46+ζ74−ζ14−ζ26+ζ46+ζ74ζ14+ζ26−ζ46−ζ74−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74−ζ47+ζ57−ζ63+ζ73ζ47−ζ57+ζ63−ζ73ζ47−ζ57+ζ63−ζ73−ζ47+ζ57−ζ63+ζ73ζ47−ζ57−ζ63+ζ73−ζ47+ζ57+ζ63−ζ73−ζ47+ζ57+ζ63−ζ73ζ47−ζ57−ζ63+ζ73−ζ13+ζ27+ζ43−ζ77ζ13−ζ27−ζ43+ζ77ζ13−ζ27−ζ43+ζ77−ζ13+ζ27+ζ43−ζ77−ζ13−ζ27+ζ43+ζ77ζ13+ζ27−ζ43−ζ77ζ13+ζ27−ζ43−ζ77−ζ13−ζ27+ζ43+ζ77−ζ9+ζ31−ζ41+ζ79ζ9−ζ31+ζ41−ζ79ζ9−ζ31+ζ41−ζ79−ζ9+ζ31−ζ41+ζ79ζ9+ζ31−ζ41−ζ79−ζ9−ζ31+ζ41+ζ79−ζ9−ζ31+ζ41+ζ79ζ9+ζ31−ζ41−ζ79−ζ11+ζ29−ζ59+ζ61ζ11−ζ29+ζ59−ζ61ζ11−ζ29+ζ59−ζ61−ζ11+ζ29−ζ59+ζ61−ζ11−ζ29+ζ59+ζ61ζ11+ζ29−ζ59−ζ61ζ11+ζ29−ζ59−ζ61−ζ11−ζ29+ζ59+ζ6100000000000000000000000000000000
χ1274-4-44000000−1−5−1+5−222222−221+52ζ8−2ζ72−2ζ8+2ζ72−2ζ8+2ζ722ζ8−2ζ721−52ζ24−2ζ56−2ζ24+2ζ56−2ζ24+2ζ562ζ24−2ζ561+51−5−1−5−1+5002ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ79−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ79002ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ77−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ770000000000ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78ζ42−ζ58−ζ62+ζ78−ζ42+ζ58+ζ62−ζ78−ζ42+ζ58+ζ62−ζ78ζ42−ζ58−ζ62+ζ78−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74−ζ14−ζ26+ζ46+ζ74ζ14+ζ26−ζ46−ζ74ζ14+ζ26−ζ46−ζ74−ζ14−ζ26+ζ46+ζ74−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74ζ47−ζ57+ζ63−ζ73−ζ47+ζ57−ζ63+ζ73−ζ47+ζ57−ζ63+ζ73ζ47−ζ57+ζ63−ζ73ζ47−ζ57−ζ63+ζ73−ζ47+ζ57+ζ63−ζ73−ζ47+ζ57+ζ63−ζ73ζ47−ζ57−ζ63+ζ73ζ13−ζ27−ζ43+ζ77−ζ13+ζ27+ζ43−ζ77−ζ13+ζ27+ζ43−ζ77ζ13−ζ27−ζ43+ζ77−ζ13−ζ27+ζ43+ζ77ζ13+ζ27−ζ43−ζ77ζ13+ζ27−ζ43−ζ77−ζ13−ζ27+ζ43+ζ77ζ9−ζ31+ζ41−ζ79−ζ9+ζ31−ζ41+ζ79−ζ9+ζ31−ζ41+ζ79ζ9−ζ31+ζ41−ζ79ζ9+ζ31−ζ41−ζ79−ζ9−ζ31+ζ41+ζ79−ζ9−ζ31+ζ41+ζ79ζ9+ζ31−ζ41−ζ79ζ11−ζ29+ζ59−ζ61−ζ11+ζ29−ζ59+ζ61−ζ11+ζ29−ζ59+ζ61ζ11−ζ29+ζ59−ζ61−ζ11−ζ29+ζ59+ζ61ζ11+ζ29−ζ59−ζ61ζ11+ζ29−ζ59−ζ61−ζ11−ζ29+ζ59+ζ6100000000000000000000000000000000
χ1284-4-44000000−1−5−1+5−222222−221+52ζ8−2ζ72−2ζ8+2ζ72−2ζ8+2ζ722ζ8−2ζ721−52ζ24−2ζ56−2ζ24+2ζ56−2ζ24+2ζ562ζ24−2ζ561+51−5−1−5−1+500−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ792ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ7900−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ772ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ770000000000ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78ζ42−ζ58−ζ62+ζ78−ζ42+ζ58+ζ62−ζ78−ζ42+ζ58+ζ62−ζ78ζ42−ζ58−ζ62+ζ78−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74−ζ14−ζ26+ζ46+ζ74ζ14+ζ26−ζ46−ζ74ζ14+ζ26−ζ46−ζ74−ζ14−ζ26+ζ46+ζ74−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74−ζ47+ζ57−ζ63+ζ73ζ47−ζ57+ζ63−ζ73ζ47−ζ57+ζ63−ζ73−ζ47+ζ57−ζ63+ζ73−ζ47+ζ57+ζ63−ζ73ζ47−ζ57−ζ63+ζ73ζ47−ζ57−ζ63+ζ73−ζ47+ζ57+ζ63−ζ73−ζ13+ζ27+ζ43−ζ77ζ13−ζ27−ζ43+ζ77ζ13−ζ27−ζ43+ζ77−ζ13+ζ27+ζ43−ζ77ζ13+ζ27−ζ43−ζ77−ζ13−ζ27+ζ43+ζ77−ζ13−ζ27+ζ43+ζ77ζ13+ζ27−ζ43−ζ77−ζ9+ζ31−ζ41+ζ79ζ9−ζ31+ζ41−ζ79ζ9−ζ31+ζ41−ζ79−ζ9+ζ31−ζ41+ζ79−ζ9−ζ31+ζ41+ζ79ζ9+ζ31−ζ41−ζ79ζ9+ζ31−ζ41−ζ79−ζ9−ζ31+ζ41+ζ79−ζ11+ζ29−ζ59+ζ61ζ11−ζ29+ζ59−ζ61ζ11−ζ29+ζ59−ζ61−ζ11+ζ29−ζ59+ζ61ζ11+ζ29−ζ59−ζ61−ζ11−ζ29+ζ59+ζ61−ζ11−ζ29+ζ59+ζ61ζ11+ζ29−ζ59−ζ6100000000000000000000000000000000

Here ζ is a primitive root of unity of order 80 (ζ80 = 1); i = ζ20.