Finite Group Databasebeta

← Group #12159814

Character table — Group #12159814

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107
size1111222222222222224444444444444444448888888888888888888888888888888888888881616161616161616161616161616202020202020404040404040404040404080
order1222224444551010101010104444881010101020202020202020202444448101010102020202020202020202020202020202020202020404040404040404028101010102020202040404040224488444444888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-111-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-111-1-1
χ4111111111111111111111111111111111111-1-111-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ51111111111111111111111-1-111111111111111-1-111-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-11-1
χ61111111111111111111111-1-111111111111111-1-111-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-11
χ71111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-11
χ81111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-111111-1
χ9111111111111111111-1-1-1-11111111111111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1111-1
χ10111111111111111111-1-1-1-11111111111111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-11
χ11111111111111111111-1-1-1-111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11
χ12111111111111111111-1-1-1-111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1
χ13111111111111111111-1-1-1-1-1-11111111111111111-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111
χ14111111111111111111-1-1-1-1-1-11111111111111111-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ15111111111111111111-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-1111111111111-1-111-1-11111-1-1-1-1
χ16111111111111111111-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-111-1-111-1-1-1-11111
χ172222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+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+52−1−52−1−52000000000000000000
χ182222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-222-2-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+52000000000000000000
χ192222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-222-2−1+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+52-2-21−521−521+521+521−521+521−521+521−521−521+521+52000000000000000000
χ202222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5222−1+52−1+52−1−52−1−521−521+521−521+52−1+52−1+52−1−52−1−52000000000000000000
χ212222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-2-2-22−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-221−521−521+521+521−521+521−521+52−1+52−1+52−1−52−1−52000000000000000000
χ222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-22221−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2−1+52−1+52−1−52−1−521−521+521−521+521−521−521+521+52000000000000000000
χ232222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222-2-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+522-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−521−521−521+521+52000000000000000000
χ242222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-22222-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-221−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52000000000000000000
χ252222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+52000000000000000000
χ262222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-222-2-221+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+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−52000000000000000000
χ272222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-222-2−1−52−1−52−1+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+521−521−521−521−52-2-21+521+521−521−521+521−521+521−521+521+521−521−52000000000000000000
χ282222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2-21+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+521−521−521−521−521+521+521+521+521−521−521−521−5222−1−52−1−52−1+52−1+521+521−521+521−52−1−52−1−52−1+52−1+52000000000000000000
χ292222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-2-2-22−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-221+521+521−521−521+521−521+521−52−1−52−1−52−1+52−1+52000000000000000000
χ302222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-22221+521+521−521−521+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-2−1−52−1−52−1+52−1+521+521−521+521−521+521+521−521−52000000000000000000
χ312222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222-2-2-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−522-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+521+521+521−521−52000000000000000000
χ322222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-22222-21+521+521−521−521+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+521+521+521+521+521−521−521−521−52-221+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52000000000000000000
χ332222-2-22-22-22222222222-2-222-2-2-2-2-2-2-2-2222200-2200-2000022220000-2-2-2-20000000022-2-222-2-2000000-2-2220000000000000000000000
χ342222-2-22-22-22222222222-2-2-2-2-2-2-2-2-2-2-2-22222002-2002000022220000-2-2-2-200000000-2-222-2-22200000022-2-20000000000000000000000
χ352222-2-22-22-222222222-2-22222-2-2-2-2-2-2-2-22222002-200-20000-2-2-2-2000022220000000022-2-222-2-200000022-2-20000000000000000000000
χ362222-2-22-22-222222222-2-222-2-2-2-2-2-2-2-2-2-2222200-220020000-2-2-2-20000222200000000-2-222-2-222000000-2-2220000000000000000000000
χ372222-2-22-22-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200-2200-2ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1+52−1−52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521−521+521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−1+52−1+521−521−52−1−52−1−521+521+5200ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+52−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000000000
χ382222-2-22-22-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200-2200-2−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1+52−1−52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521−521+521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−1+52−1+521−521−52−1−52−1−521+521+5200−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+52−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000000000
χ392222-2-22-22-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52002-2002ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1+52−1−52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521−521+521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ361−521−52−1+52−1+521+521+52−1−52−1−5200−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1−521−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000000000
χ402222-2-22-22-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52002-2002−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1+52−1−52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521−521+521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ361−521−52−1+52−1+521+521+52−1−52−1−5200ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1−521−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000000000
χ412222-2-22-22-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-222221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52002-200-2ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521−521+521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1+52−1−52−1−52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−1+52−1+521−521−52−1−52−1−521+521+5200−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1−521−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000000000
χ422222-2-22-22-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-222221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52002-200-2−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521−521+521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1+52−1−52−1−52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−1+52−1+521−521−52−1−52−1−521+521+5200ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1−521−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000000000
χ432222-2-22-22-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-222-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200-22002ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521−521+521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1+52−1−52−1−52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ361−521−52−1+52−1+521+521+52−1−52−1−5200ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+52−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000000000
χ442222-2-22-22-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-222-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200-22002−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521−521+521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1+52−1−52−1−52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ361−521−52−1+52−1+521+521+52−1−52−1−5200−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+52−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000000000
χ452222-2-22-22-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200-2200-2−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1−52−1+52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521+521−521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−1−52−1−521+521+52−1+52−1+521−521−5200−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−52−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000000000000
χ462222-2-22-22-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200-2200-2ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1−52−1+52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521+521−521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−1−52−1−521+521+52−1+52−1+521−521−5200ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−52−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000000000000
χ472222-2-22-22-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52002-2002−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1−52−1+52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521+521−521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ281+521+52−1−52−1−521−521−52−1+52−1+5200ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1+521+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000000000000
χ482222-2-22-22-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52002-2002ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1−52−1+52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521+521−521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ281+521+52−1−52−1−521−521−52−1+52−1+5200−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1+521+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000000000000
χ492222-2-22-22-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-222221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52002-200-2−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521+521−521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1−52−1+52−1+52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−1−52−1−521+521+52−1+52−1+521−521−5200ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1+521+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000000000000
χ502222-2-22-22-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-222221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52002-200-2ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521+521−521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1−52−1+52−1+52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−1−52−1−521+521+52−1+52−1+521−521−5200−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1+521+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000000000000
χ512222-2-22-22-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-222-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200-22002−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521+521−521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1−52−1+52−1+52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ281+521+52−1−52−1−521−521−52−1+52−1+5200−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−52−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000000000000
χ522222-2-22-22-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-222-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200-22002ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521+521−521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1−52−1+52−1+52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ281+521+52−1−52−1−521−521−52−1+52−1+5200ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−52−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000000000000
χ532222-2-2-22-2222222222000000-2-2-2-22222-2-2-2-22-20000022220000-2-2-2-2000000000000000000000000000000000022-2-2220000000000-20
χ542222-2-2-22-2222222222000000-2-2-2-22222-2-2-2-22-20000022220000-2-2-2-20000000000000000000000000000000000-2-222-2-2000000000020
χ552222-2-2-22-2222222222000000-2-2-2-22222-2-2-2-2-2200000-2-2-2-200002222000000000000000000000000000000000022-2-2-2-2000000000020
χ562222-2-2-22-2222222222000000-2-2-2-22222-2-2-2-2-2200000-2-2-2-2000022220000000000000000000000000000000000-2-222220000000000-20
χ5722-2-22-2-2-222222-22-2-2-22i−2i2i−2i002-22-22-22-22-22-2000000000002i−2i2i−2i00002i−2i2i−2i0000000000000000000000000000002-22-200002i−2i00000000
χ5822-2-22-2-2-222222-22-2-2-22i−2i2i−2i002-22-22-22-22-22-2000000000002i−2i2i−2i00002i−2i2i−2i000000000000000000000000000000-22-220000−2i2i00000000
χ5922-2-22-2-2-222222-22-2-2-2−2i2i−2i2i002-22-22-22-22-22-200000000000−2i2i−2i2i0000−2i2i−2i2i0000000000000000000000000000002-22-20000−2i2i00000000
χ6022-2-22-2-2-222222-22-2-2-2−2i2i−2i2i002-22-22-22-22-22-200000000000−2i2i−2i2i0000−2i2i−2i2i000000000000000000000000000000-22-2200002i−2i00000000
χ6122-2-2-222-2-22222-22-2-2-2000000-22-222-22-2-22-2200002i−2i000000000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000002-2-22000000002i−2i0000
χ6222-2-2-222-2-22222-22-2-2-2000000-22-222-22-2-22-2200002i−2i000000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000-222-200000000−2i2i0000
χ6322-2-2-222-2-22222-22-2-2-2000000-22-222-22-2-22-220000−2i2i00000000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000002-2-2200000000−2i2i0000
χ6422-2-2-222-2-22222-22-2-2-2000000-22-222-22-2-22-220000−2i2i00000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000-222-2000000002i−2i0000
χ6522-2-2-22-222-2222-22-2-2-22i−2i−2i2i00-22-22-22-222-22-2000000000002i−2i2i−2i0000−2i2i−2i2i0000000000000000000000000000000000002i−2i0000002-200
χ6622-2-2-22-222-2222-22-2-2-22i−2i−2i2i00-22-22-22-222-22-2000000000002i−2i2i−2i0000−2i2i−2i2i000000000000000000000000000000000000−2i2i000000-2200
χ6722-2-2-22-222-2222-22-2-2-2−2i2i2i−2i00-22-22-22-222-22-200000000000−2i2i−2i2i00002i−2i2i−2i0000000000000000000000000000000000002i−2i000000-2200
χ6822-2-2-22-222-2222-22-2-2-2−2i2i2i−2i00-22-22-22-222-22-200000000000−2i2i−2i2i00002i−2i2i−2i000000000000000000000000000000000000−2i2i0000002-200
χ69444444-4-4-4-4444444440000004444-4-4-4-4-4-4-4-400000000000000000000000000000000000000000000000000000000000000000000000
χ70444444-4-4-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5000000−1+5−1+5−1−5−1−51−51−51+51+51−51−51+51+500000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ360000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ360000000000000000000000000000000000000000000000000000
χ71444444-4-4-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5000000−1+5−1+5−1−5−1−51−51−51+51+51−51−51+51+50000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ3600002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ360000000000000000000000000000000000000000000000000000
χ72444444-4-4-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5000000−1−5−1−5−1+5−1+51+51+51−51−51+51+51−51−50000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ280000000000000000000000000000000000000000000000000000
χ73444444-4-4-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5000000−1−5−1−5−1+5−1+51+51+51−51−51+51+51−51−500000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ280000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ280000000000000000000000000000000000000000000000000000
χ744444-4-4-44-44−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−50000001−51−51+51+5−1+5−1+5−1−5−1−51−51−51+51+54-400000−1+5−1+5−1−5−1−500001−51−51+51+50000000000000000000000000000000000000000000000000000
χ754444-4-4-44-44−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−50000001−51−51+51+5−1+5−1+5−1−5−1−51−51−51+51+5-44000001−51−51+51+50000−1+5−1+5−1−5−1−50000000000000000000000000000000000000000000000000000
χ764444-4-4-44-44−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+50000001+51+51−51−5−1−5−1−5−1+5−1+51+51+51−51−54-400000−1−5−1−5−1+5−1+500001+51+51−51−50000000000000000000000000000000000000000000000000000
χ774444-4-4-44-44−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+50000001+51+51−51−5−1−5−1−5−1+5−1+51+51+51−51−5-44000001+51+51−51−50000−1−5−1−5−1+5−1+50000000000000000000000000000000000000000000000000000
χ7844-4-44-444-4-4444-44-4-4-40000004-44-4-44-44-44-4400000000000000000000000000000000000000000000000000000000000000000000000
χ7944-4-44-444-4-4−1+5−1−5−1+51−5−1−51+51−51+5000000−1+51−5−1−51+51−5−1+51+5−1−51−5−1+51+5−1−500000000000000000000000−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ140000000000000000000000000000000000000000
χ8044-4-44-444-4-4−1+5−1−5−1+51−5−1−51+51−51+5000000−1+51−5−1−51+51−5−1+51+5−1−51−5−1+51+5−1−5000000000000000000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ140000000000000000000000000000000000000000
χ8144-4-44-444-4-4−1−5−1+5−1−51+5−1+51−51+51−5000000−1−51+5−1+51−51+5−1−51−5−1+51+5−1−51−5−1+5000000000000000000000002ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ380000000000000000000000000000000000000000
χ8244-4-44-444-4-4−1−5−1+5−1−51+5−1+51−51+51−5000000−1−51+5−1+51−51+5−1−51−5−1+51+5−1−51−5−1+500000000000000000000000−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ380000000000000000000000000000000000000000
χ8344-4-44-4-4-444−1+5−1−5−1+51−5−1−51+51−51+54i−4i4i−4i00−1+51−5−1−51+5−1+51−5−1−51+5−1+51−5−1−51+500000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ140000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14000000000000000000000000000000000000000000000000
χ8444-4-44-4-4-444−1+5−1−5−1+51−5−1−51+51−51+5−4i4i−4i4i00−1+51−5−1−51+5−1+51−5−1−51+5−1+51−5−1−51+5000000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ1400002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14000000000000000000000000000000000000000000000000
χ8544-4-44-4-4-444−1−5−1+5−1−51+5−1+51−51+51−54i−4i4i−4i00−1−51+5−1+51−5−1−51+5−1+51−5−1−51+5−1+51−500000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ380000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38000000000000000000000000000000000000000000000000
χ8644-4-44-4-4-444−1−5−1+5−1−51+5−1+51−51+51−5−4i4i−4i4i00−1−51+5−1+51−5−1−51+5−1+51−5−1−51+5−1+51−5000000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ3800002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38000000000000000000000000000000000000000000000000
χ8744-4-4-444-4-44−1+5−1−5−1+51−5−1−51+51−51+50000001−5−1+51+5−1−5−1+51−5−1−51+51−5−1+51+5−1−500004i−4i00000000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ140000000000000000000000000000000000000000
χ8844-4-4-444-4-44−1+5−1−5−1+51−5−1−51+51−51+50000001−5−1+51+5−1−5−1+51−5−1−51+51−5−1+51+5−1−50000−4i4i000000000000000002ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ140000000000000000000000000000000000000000
χ8944-4-4-444-4-44−1−5−1+5−1−51+5−1+51−51+51−50000001+5−1−51−5−1+5−1−51+5−1+51−51+5−1−51−5−1+500004i−4i00000000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ380000000000000000000000000000000000000000
χ9044-4-4-444-4-44−1−5−1+5−1−51+5−1+51−51+51−50000001+5−1−51−5−1+5−1−51+5−1+51−51+5−1−51−5−1+50000−4i4i000000000000000002ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ380000000000000000000000000000000000000000
χ9144-4-4-44-444-4−1+5−1−5−1+51−5−1−51+51−51+54i−4i−4i4i001−5−1+51+5−1−51−5−1+51+5−1−5−1+51−5−1−51+500000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ1400002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14000000000000000000000000000000000000000000000000
χ9244-4-4-44-444-4−1+5−1−5−1+51−5−1−51+51−51+5−4i4i4i−4i001−5−1+51+5−1−51−5−1+51+5−1−5−1+51−5−1−51+5000000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ140000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14000000000000000000000000000000000000000000000000
χ9344-4-4-44-444-4−1−5−1+5−1−51+5−1+51−51+51−54i−4i−4i4i001+5−1−51−5−1+51+5−1−51−5−1+5−1−51+5−1+51−500000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ3800002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38000000000000000000000000000000000000000000000000
χ9444-4-4-44-444-4−1−5−1+5−1−51+5−1+51−51+51−5−4i4i4i−4i001+5−1−51−5−1+51+5−1−51−5−1+5−1−51+5−1+51−5000000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ380000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38000000000000000000000000000000000000000000000000
χ954-44-400000044-44-44-4-400002i2−2i200000000000000000000000000000000000000000002i2−2i2002i2−2i20000000000000000000022−2200002i−2i000000
χ964-44-400000044-44-44-4-400002i2−2i200000000000000000000000000000000000000000002i2−2i2002i2−2i200000000000000000000−22220000−2i2i000000
χ974-44-400000044-44-44-4-40000−2i22i20000000000000000000000000000000000000000000−2i22i200−2i22i20000000000000000000022−220000−2i2i000000
χ984-44-400000044-44-44-4-40000−2i22i20000000000000000000000000000000000000000000−2i22i200−2i22i200000000000000000000−222200002i−2i000000
χ998-88-8000000−2+25−2−252−25−2+252+25−2−252−252+2500004i2−4i200000000000000000000000000000000000000000002ζ7+2ζ13+2ζ23+2ζ37−2ζ7−2ζ13−2ζ23−2ζ37002ζ21+2ζ29+2ζ31+2ζ39−2ζ21−2ζ29−2ζ31−2ζ390000000000000000000000000000000000
χ1008-88-8000000−2+25−2−252−25−2+252+25−2−252−252+250000−4i24i20000000000000000000000000000000000000000000−2ζ7−2ζ13−2ζ23−2ζ372ζ7+2ζ13+2ζ23+2ζ3700−2ζ21−2ζ29−2ζ31−2ζ392ζ21+2ζ29+2ζ31+2ζ390000000000000000000000000000000000
χ1018-88-8000000−2−25−2+252+25−2−252−25−2+252+252−2500004i2−4i200000000000000000000000000000000000000000002ζ21+2ζ29+2ζ31+2ζ39−2ζ21−2ζ29−2ζ31−2ζ39002ζ7+2ζ13+2ζ23+2ζ37−2ζ7−2ζ13−2ζ23−2ζ370000000000000000000000000000000000
χ1028-88-8000000−2−25−2+252+25−2−252−25−2+252+252−250000−4i24i20000000000000000000000000000000000000000000−2ζ21−2ζ29−2ζ31−2ζ392ζ21+2ζ29+2ζ31+2ζ3900−2ζ7−2ζ13−2ζ23−2ζ372ζ7+2ζ13+2ζ23+2ζ370000000000000000000000000000000000
χ1038-8-8800000088-8-8-8-88800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88000000−2+25−2−252−252−252+252+25−2+25−2−25000000000000000000000000000000000000000000000000000−2ζ7−2ζ13+2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ3700−2ζ21+2ζ29+2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ3900000000000000000000000000000000
χ1058-8-88000000−2+25−2−252−252−252+252+25−2+25−2−250000000000000000000000000000000000000000000000000002ζ7+2ζ13−2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ37002ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ3900000000000000000000000000000000
χ1068-8-88000000−2−25−2+252+252+252−252−25−2−25−2+25000000000000000000000000000000000000000000000000000−2ζ21+2ζ29+2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ39002ζ7+2ζ13−2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ3700000000000000000000000000000000
χ1078-8-88000000−2−25−2+252+252+252−252−25−2−25−2+250000000000000000000000000000000000000000000000000002ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ3900−2ζ7−2ζ13+2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ3700000000000000000000000000000000

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