Finite Group Databasebeta

← Group #12019175

Character table — Group #12019175

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size1111222222222222222222222222224444444444444444444444444444444444444444444444444444444444444444441616161616161616161616161616161616161616404040404040404080808080
order1222224444558888101010101010202020202020202088101010101616161616161616202020204040404040404040404040404040404080808080808080808080808080808080808080808080808080808080808080808888404040404040404040404040404040402488161616164444
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
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ9222222222222-2-2-2-222222222222222-2-22222000000002222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000022-2-200000000
χ10222222222222-2-2-2-222222222222222-2-22222000000002222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000-2-22200000000
χ112222222222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−522222−1+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+52−1−52−1−52−1−52−1−5222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52-2-2-2-21−521−521−521−521+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+52−1−52−1−52−1−52−1−5222−1+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+52−1−52−1−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521+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+52−1−52−1−52−1−52−1−5222−1+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+52−1−52−1−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521+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+5222−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+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+5222−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+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+5222−1−52−1−52−1+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+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+5222−1−52−1−52−1+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+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
χ19222222-2-2-2-2220000222222-2-2-2-2-2-2-2-20022222222−2−2−2−2-2-2-2-2000000000000000022222222−2−2−2−2−2−2−2−222222222−2−2−2−2−2−2−2−200000000000000000000002i−2ii2i2−i2−i20000
χ20222222-2-2-2-2220000222222-2-2-2-2-2-2-2-20022222222−2−2−2−2-2-2-2-2000000000000000022222222−2−2−2−2−2−2−2−222222222−2−2−2−2−2−2−2−20000000000000000000000−2i2i−i2−i2i2i20000
χ21222222-2-2-2-2220000222222-2-2-2-2-2-2-2-2002222−2−2−2−22222-2-2-2-20000000000000000−2−2−2−2−2−2−2−222222222−2−2−2−2−2−2−2−22222222200000000000000000000002i−2i−i2−i2i2i20000
χ22222222-2-2-2-2220000222222-2-2-2-2-2-2-2-2002222−2−2−2−22222-2-2-2-20000000000000000−2−2−2−2−2−2−2−222222222−2−2−2−2−2−2−2−2222222220000000000000000000000−2i2ii2i2−i2−i20000
χ232222-2-22-2-22222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-222-2-2222222-2-2-2-222-2-2-2-222222222-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-200000000000000000000000000000000
χ242222-2-22-2-22222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-222222222-2-2-2-222-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-2222200000000000000000000000000000000
χ252222-2-22-2-2222-2-2-2-2222222-2-2-2-2-2-2-2-222-2-2-2-2000000002222-2-22222-2-22222-2-2-2-2000000000000000000000000000000000000000000000000000000002i−2i2i−2i0000
χ262222-2-22-2-2222-2-2-2-2222222-2-2-2-2-2-2-2-222-2-2-2-2000000002222-2-22222-2-22222-2-2-2-200000000000000000000000000000000000000000000000000000000−2i2i−2i2i0000
χ272222-2-22-2-22−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-21−521−521+521+5222-2-222-2-2−1+52−1−52−1+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−ζ44+ζ76−ζ44+ζ76ζ44−ζ76ζ44−ζ76ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ44+ζ76−ζ44+ζ76ζ44−ζ76ζ44−ζ76ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28000000000000
χ282222-2-22-2-22−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-21−521−521+521+5222-2-222-2-2−1+52−1−52−1+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+520000ζ44−ζ76ζ44−ζ76−ζ44+ζ76−ζ44+ζ76−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ44−ζ76ζ44−ζ76−ζ44+ζ76−ζ44+ζ76−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28000000000000
χ292222-2-22-2-22−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-21−521−521+521+52-2-222-2-222−1+52−1−52−1+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−ζ44+ζ76−ζ44+ζ76ζ44−ζ76ζ44−ζ76ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ44−ζ76ζ44−ζ76−ζ44+ζ76−ζ44+ζ76−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28000000000000
χ302222-2-22-2-22−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-21−521−521+521+52-2-222-2-222−1+52−1−52−1+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+52−1−52−1−52−1−52−1−520000ζ44−ζ76ζ44−ζ76−ζ44+ζ76−ζ44+ζ76−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ44+ζ76−ζ44+ζ76ζ44−ζ76ζ44−ζ76ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28000000000000
χ312222-2-22-2-22−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-21+521+521−521−5222-2-222-2-2−1−52−1+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+521−521−521−521−520000ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ44−ζ76ζ44−ζ76−ζ44+ζ76−ζ44+ζ76ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ44−ζ76ζ44−ζ76−ζ44+ζ76−ζ44+ζ76000000000000
χ322222-2-22-2-22−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-21+521+521−521−5222-2-222-2-2−1−52−1+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−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ44+ζ76−ζ44+ζ76ζ44−ζ76ζ44−ζ76−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ44+ζ76−ζ44+ζ76ζ44−ζ76ζ44−ζ76000000000000
χ332222-2-22-2-22−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-21+521+521−521−52-2-222-2-222−1−52−1+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+520000ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ44−ζ76ζ44−ζ76−ζ44+ζ76−ζ44+ζ76−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ44+ζ76−ζ44+ζ76ζ44−ζ76ζ44−ζ76000000000000
χ342222-2-22-2-22−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-21+521+521−521−52-2-222-2-222−1−52−1+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−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ44+ζ76−ζ44+ζ76ζ44−ζ76ζ44−ζ76ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ44−ζ76ζ44−ζ76−ζ44+ζ76−ζ44+ζ76000000000000
χ352222-2-2-222-22200002222222222222200-2-2-2-222−2−2−2−222-2-2-2-200000000000000002222−2−2−2−2−2−2−2−222222222−2−2−2−2−2−2−2−22222000000000000000000002-2002−2−220000
χ362222-2-2-222-22200002222222222222200-2-2-2-222−2−2−2−222-2-2-2-200000000000000002222−2−2−2−2−2−2−2−222222222−2−2−2−2−2−2−2−2222200000000000000000000-2200−222−20000
χ372222-2-2-222-22200002222222222222200-2-2-2-2−2−22222−2−2-2-2-2-20000000000000000−2−2−2−222222222−2−2−2−2−2−2−2−222222222−2−2−2−2000000000000000000002-200−222−20000
χ382222-2-2-222-22200002222222222222200-2-2-2-2−2−22222−2−2-2-2-2-20000000000000000−2−2−2−222222222−2−2−2−2−2−2−2−222222222−2−2−2−200000000000000000000-22002−2−220000
χ392-22-22-2-22-222222-2-2-2-2-2-22222-2-222-2-22-22-22-200000000-2-222-2-222-2-2-2-222-2-22222000000000000000000000000000000000000000000000000000000000000002i−2i
χ402-22-22-2-22-222222-2-2-2-2-2-22222-2-222-2-22-22-22-200000000-2-222-2-222-2-2-2-222-2-2222200000000000000000000000000000000000000000000000000000000000000−2i2i
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χ1224-4-44000000−1−5−1+522−22−22221+5−1−51−5−1+51+51−52ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ282ζ44−2ζ76−2ζ44+2ζ76−2ζ44+2ζ762ζ44−2ζ760000002ζ11−2ζ13+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+2ζ73−2ζ79000000−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+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−ζ77ζ47−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+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+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
χ1234-4-44000000−1−5−1+522−22−22221+5−1−51−5−1+51+51−5−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ28−2ζ44+2ζ762ζ44−2ζ762ζ44−2ζ76−2ζ44+2ζ76000000−2ζ11+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+2ζ79000000−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+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−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−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−ζ79−ζ9+ζ31+ζ41−ζ79ζ9−ζ31−ζ41+ζ79ζ9−ζ31−ζ41+ζ79−ζ9+ζ31+ζ41−ζ7900000000000000000000000000000000
χ1244-4-44000000−1−5−1+522−22−22221+5−1−51−5−1+51+51−5−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ28−2ζ44+2ζ762ζ44−2ζ762ζ44−2ζ76−2ζ44+2ζ760000002ζ11−2ζ13+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+2ζ73−2ζ79000000−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+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+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+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+ζ79ζ9−ζ31−ζ41+ζ79−ζ9+ζ31+ζ41−ζ79−ζ9+ζ31+ζ41−ζ79ζ9−ζ31−ζ41+ζ7900000000000000000000000000000000
χ1254-4-44000000−1−5−1+5−222222−221+5−1−51−5−1+51+51−52ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ282ζ44−2ζ76−2ζ44+2ζ76−2ζ44+2ζ762ζ44−2ζ760000002ζ9−2ζ31+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+2ζ77000000ζ42+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−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−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−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+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−ζ61ζ11−ζ29−ζ59+ζ61−ζ11+ζ29+ζ59−ζ61−ζ11+ζ29+ζ59−ζ61ζ11−ζ29−ζ59+ζ6100000000000000000000000000000000
χ1264-4-44000000−1−5−1+5−222222−221+5−1−51−5−1+51+51−52ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ282ζ44−2ζ76−2ζ44+2ζ76−2ζ44+2ζ762ζ44−2ζ76000000−2ζ9+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+2ζ59−2ζ61−2ζ77000000ζ42+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−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+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+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−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+ζ61−ζ11+ζ29+ζ59−ζ61ζ11−ζ29−ζ59+ζ61ζ11−ζ29−ζ59+ζ61−ζ11+ζ29+ζ59−ζ6100000000000000000000000000000000
χ1274-4-44000000−1−5−1+5−222222−221+5−1−51−5−1+51+51−5−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ28−2ζ44+2ζ762ζ44−2ζ762ζ44−2ζ76−2ζ44+2ζ760000002ζ9−2ζ31+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+2ζ77000000ζ42+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−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−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−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+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−ζ61−ζ11+ζ29+ζ59−ζ61ζ11−ζ29−ζ59+ζ61ζ11−ζ29−ζ59+ζ61−ζ11+ζ29+ζ59−ζ6100000000000000000000000000000000
χ1284-4-44000000−1−5−1+5−222222−221+5−1−51−5−1+51+51−5−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ28−2ζ44+2ζ762ζ44−2ζ762ζ44−2ζ76−2ζ44+2ζ76000000−2ζ9+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+2ζ59−2ζ61−2ζ77000000ζ42+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−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+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+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−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+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.