Finite Group Databasebeta

← Group #12147180

Character table — Group #12147180

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107
size1111222222222222224444444444444444448888888888888888888888888888888888888881616161616161616161616161616202020202020404040404040404040404080
order1222224444551010101010104444881010101020202020202020202224448101010101010101020202020202020202020202020202020404040404040404048101020202020202040404040224488444444888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-111-1-1-1
χ41111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-1111
χ51111111111111111111111-1-1111111111111-11111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-111-1
χ61111111111111111111111-1-1111111111111-11111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-11
χ71111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-111-1-111-1-1-1-1-11
χ81111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-111-1-111111-1
χ9111111111111111111-1-1-1-111111111111111-111-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-111111
χ10111111111111111111-1-1-1-111111111111111-111-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1
χ11111111111111111111-1-1-1-111111111111111-1-1-111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-11-1-1-1-1-1-1-1-11111111111-1-1-1-111111-1-1-1
χ12111111111111111111-1-1-1-111111111111111-1-1-111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1111
χ13111111111111111111-1-1-1-1-1-1111111111111111-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111111111-1-1-1-11111-1-1-111-1
χ14111111111111111111-1-1-1-1-1-1111111111111111-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-11
χ15111111111111111111-1-1-1-1-1-11111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-111111111-1-1-1-1111111-1-111-1-11-1-1-1-11
χ16111111111111111111-1-1-1-1-1-11111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-111-1-111-11111-1
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+52−1−522-2-2-2-2221−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2−1+52−1−52−1+52−1−521−521−521+521+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+52−1−52-22222-2-2−1+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+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+52−1−52-2-2-2-2-2-2-21−521−521−521−521+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+521−521−521−521−521+521+521+521+52221−521+521−521+52−1+52−1+52−1−52−1−52−1+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+52−1−52-222-2-2-22−1+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+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-21−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+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+52−1−52-2-2-222-221−521−521−521−521+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+52−1−52−1−52−1−52−1−52-221−521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000
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+52−1−52222-2-22-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-22−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000
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+52−1−522-2-2222-21−521−521−521−521+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+522-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+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+522-2-2-2-2221+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2−1−52−1+52−1−52−1+521+521+521−521−521+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+52-22222-2-2−1−52−1−52−1−52−1−52−1+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+521−521−521−521−52-2-21+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+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52221+521−521+521−52−1−52−1−52−1+52−1+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+52-222-2-2-22−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-21+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000
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+52-2-2-222-221+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+52-221+521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+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+52222-2-22-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-22−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+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+522-2-2222-21+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+521−521−521−521−522-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000
χ332222-2-22-22-22222222222-2-222-2-2-2-22-2-22-2-22220000-2-20000000022-2-222-2-20000000022-2-222-2-20022-2-200000000000000000000000000
χ342222-2-22-22-22222222222-2-2-2-2-2-2-2-22-2-22-2-222-20000220000000022-2-222-2-200000000-2-222-2-22200-2-22200000000000000000000000000
χ352222-2-22-22-222222222-2-22222-2-2-2-22-2-22-2-222-200002-200000000-2-222-2-2220000000022-2-222-2-200-2-22200000000000000000000000000
χ362222-2-22-22-222222222-2-222-2-2-2-2-2-22-2-22-2-22220000-2200000000-2-222-2-22200000000-2-222-2-2220022-2-200000000000000000000000000
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+52−1+521−521−52−1−521+521+52−1+52−1−5220000-2-2ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−1+52−1+521−521−52−1−52−1−521+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+5200−1+52−1−521−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−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+52−1+521−521−52−1−521+521+52−1+52−1−5220000-2-2−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−1+52−1+521−521−52−1−52−1−521+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+5200−1+52−1−521−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−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+52−1+521−521−52−1−521+521+52−1+52−1−52-2000022ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−1+52−1+521−521−52−1−52−1−521+521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ361−521−52−1+52−1+521+521+52−1−52−1−52001−521+52−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−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+52−1+521−521−52−1−521+521+52−1+52−1−52-2000022−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−1+52−1+521−521−52−1−52−1−521+521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ361−521−52−1+52−1+521+521+52−1−52−1−52001−521+52−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−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+52−1+521−521−52−1−521+521+52−1+52−1−52-200002-2ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ361−521−52−1+52−1+521+521+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+52001−521+52−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+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+52−1+521−521−52−1−521+521+52−1+52−1−52-200002-2−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ361−521−52−1+52−1+521+521+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+52001−521+52−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−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+52−1+521−521−52−1−521+521+52−1+52−1−5220000-22ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ361−521−52−1+52−1+521+521+52−1−52−1−52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ361−521−52−1+52−1+521+521+52−1−52−1−5200−1+52−1−521−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−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+52−1+521−521−52−1−521+521+52−1+52−1−5220000-22−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ361−521−52−1+52−1+521+521+52−1−52−1−52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ361−521−52−1+52−1+521+521+52−1−52−1−5200−1+52−1−521−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+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+521−521−52−1−521+521+52−1+521−521−52−1−52−1+5220000-2-2−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−1−52−1−521+521+52−1+52−1+521−521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−1−52−1−521+521+52−1+52−1+521−521−5200−1−52−1+521+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−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+521−521−52−1−521+521+52−1+521−521−52−1−52−1+5220000-2-2ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−1−52−1−521+521+52−1+52−1+521−521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−1−52−1−521+521+52−1+52−1+521−521−5200−1−52−1+521+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−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+521−521−52−1−521+521+52−1+521−521−52−1−52−1+52-2000022−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−1−52−1−521+521+52−1+52−1+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+52001+521−52−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−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+521−521−52−1−521+521+52−1+521−521−52−1−52−1+52-2000022ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−1−52−1−521+521+52−1+52−1+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+52001+521−52−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−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+521−521−52−1−521+521+52−1+521−521−52−1−52−1+52-200002-2−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ281+521+52−1−52−1−521−521−52−1+52−1+52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−1−52−1−521+521+52−1+52−1+521−521−52001+521−52−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+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+521−521−52−1−521+521+52−1+521−521−52−1−52−1+52-200002-2ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ281+521+52−1−52−1−521−521−52−1+52−1+52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−1−52−1−521+521+52−1+52−1+521−521−52001+521−52−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−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+521−521−52−1−521+521+52−1+521−521−52−1−52−1+5220000-22−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ281+521+52−1−52−1−521−521−52−1+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+5200−1−52−1+521+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−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+521−521−52−1−521+521+52−1+521−521−52−1−52−1+5220000-22ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ281+521+52−1−52−1−521−521−52−1+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+5200−1−52−1+521+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000000000000
χ532222-2-2-22-2222222222000000-2-2-2-2-222-222-2-20002-20000000000000000002-22-22-22-2000000000000000000000022-2-2-2-2000000200000
χ542222-2-2-22-2222222222000000-2-2-2-2-222-222-2-20002-20000000000000000002-22-22-22-20000000000000000000000-2-22222000000-200000
χ552222-2-2-22-2222222222000000-2-2-2-2-222-222-2-2000-22000000000000000000-22-22-22-22000000000000000000000022-2-222000000-200000
χ562222-2-2-22-2222222222000000-2-2-2-2-222-222-2-2000-22000000000000000000-22-22-22-220000000000000000000000-2-222-2-2000000200000
χ572-2-222-22-2-2222-2-2-2-2222i−2i2i−2i002-22-222-222-2-2-20000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000002-22-2002i−2i0000000000
χ582-2-222-22-2-2222-2-2-2-2222i−2i2i−2i002-22-222-222-2-2-20000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000000000-22-2200−2i2i0000000000
χ592-2-222-22-2-2222-2-2-2-222−2i2i−2i2i002-22-222-222-2-2-2000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000002-22-200−2i2i0000000000
χ602-2-222-22-2-2222-2-2-2-222−2i2i−2i2i002-22-222-222-2-2-2000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000-22-22002i−2i0000000000
χ612-2-22-2222-2-222-2-2-2-2222i−2i−2i2i00-22-222-222-22-2-20000000000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000000000000000002-20002i−2i000
χ622-2-22-2222-2-222-2-2-2-2222i−2i−2i2i00-22-222-222-22-2-20000000000000002i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000000000-22000−2i2i000
χ632-2-22-2222-2-222-2-2-2-222−2i2i2i−2i00-22-222-222-22-2-2000000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000000000002-2000−2i2i000
χ642-2-22-2222-2-222-2-2-2-222−2i2i2i−2i00-22-222-222-22-2-2000000000000000−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000000000-220002i−2i000
χ652-2-22-22-2-22222-2-2-2-222000000-22-22-22-2-22-22202-200002-22-22-22-2000000000000000000000000000000000000002-2-22000000000002-20
χ662-2-22-22-2-22222-2-2-2-222000000-22-22-22-2-22-22202-200002-22-22-22-200000000000000000000000000000000000000-222-200000000000-220
χ672-2-22-22-2-22222-2-2-2-222000000-22-22-22-2-22-2220-220000-22-22-22-22000000000000000000000000000000000000002-2-2200000000000-220
χ682-2-22-22-2-22222-2-2-2-222000000-22-22-22-2-22-2220-220000-22-22-22-2200000000000000000000000000000000000000-222-2000000000002-20
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+5000000000000000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ360000000000000000000000000000000000000000
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+500000000000000000000000−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ360000000000000000000000000000000000000000
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+51−500000000000000000000000−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ280000000000000000000000000000000000000000
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+51−5000000000000000000000002ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ280000000000000000000000000000000000000000
χ744444-4-4-44-44−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−50000001−51−51+51+51−5−1+5−1+51+5−1−5−1−51−51+50004-4000000000000000000−1+51−5−1+51−5−1−51+5−1−51+50000000000000000000000000000000000000000
χ754444-4-4-44-44−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−50000001−51−51+51+51−5−1+5−1+51+5−1−5−1−51−51+5000-440000000000000000001−5−1+51−5−1+51+5−1−51+5−1−50000000000000000000000000000000000000000
χ764444-4-4-44-44−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+50000001+51+51−51−51+5−1−5−1−51−5−1+5−1+51+51−50004-4000000000000000000−1−51+5−1−51+5−1+51−5−1+51−50000000000000000000000000000000000000000
χ774444-4-4-44-44−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+50000001+51+51−51−51+5−1−5−1−51−5−1+5−1+51+51−5000-440000000000000000001+5−1−51+5−1−51−5−1+51−5−1+50000000000000000000000000000000000000000
χ784-44-4000000444-44-4-4-400002i2−2i200000000000000000000000000000000000000000002i2−2i2002i2−2i20000000000000000000022−2200002i−2i000000
χ794-44-4000000444-44-4-4-400002i2−2i200000000000000000000000000000000000000000002i2−2i2002i2−2i200000000000000000000−22220000−2i2i000000
χ804-44-4000000444-44-4-4-40000−2i22i20000000000000000000000000000000000000000000−2i22i200−2i22i20000000000000000000022−220000−2i2i000000
χ814-44-4000000444-44-4-4-40000−2i22i20000000000000000000000000000000000000000000−2i22i200−2i22i200000000000000000000−222200002i−2i000000
χ824-4-444-44-4-44−1+5−1−51−51−51+51+5−1+5−1−54i−4i4i−4i00−1+51−5−1−51+5−1+5−1+51−5−1−5−1−51+51−51+5000000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14000000000000000000000000000000000000000000000000
χ834-4-444-44-4-44−1+5−1−51−51−51+51+5−1+5−1−5−4i4i−4i4i00−1+51−5−1−51+5−1+5−1+51−5−1−5−1−51+51−51+50000000000000002ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ14000000000000000000000000000000000000000000000000
χ844-4-444-44-4-44−1−5−1+51+51+51−51−5−1−5−1+54i−4i4i−4i00−1−51+5−1+51−5−1−5−1−51+5−1+5−1+51−51+51−5000000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38000000000000000000000000000000000000000000000000
χ854-4-444-44-4-44−1−5−1+51+51+51−51−5−1−5−1+5−4i4i−4i4i00−1−51+5−1+51−5−1−5−1−51+5−1+5−1+51−51+51−50000000000000002ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ38000000000000000000000000000000000000000000000000
χ864-4-444-4-444-444-4-4-4-4440000004-44-4-4-44-4-444400000000000000000000000000000000000000000000000000000000000000000000000
χ874-4-444-4-444-4−1+5−1−51−51−51+51+5−1+5−1−5000000−1+51−5−1−51+51−51−5−1+51+51+5−1−5−1+5−1−500000002ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ3600000000000000000000000000000000000000000000000000000000
χ884-4-444-4-444-4−1+5−1−51−51−51+51+5−1+5−1−5000000−1+51−5−1−51+51−51−5−1+51+51+5−1−5−1+5−1−50000000−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ3600000000000000000000000000000000000000000000000000000000
χ894-4-444-4-444-4−1−5−1+51+51+51−51−5−1−5−1+5000000−1−51+5−1+51−51+51+5−1−51−51−5−1+5−1−5−1+50000000−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ2800000000000000000000000000000000000000000000000000000000
χ904-4-444-4-444-4−1−5−1+51+51+51−51−5−1−5−1+5000000−1−51+5−1+51−51+51+5−1−51−51−5−1+5−1−5−1+500000002ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ2800000000000000000000000000000000000000000000000000000000
χ914-4-44-4444-4-4−1+5−1−51−51−51+51+5−1+5−1−54i−4i−4i4i001−5−1+51+5−1−5−1+51−5−1+5−1−51+5−1−51−51+5000000000000000−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14000000000000000000000000000000000000000000000000
χ924-4-44-4444-4-4−1+5−1−51−51−51+51+5−1+5−1−5−4i4i4i−4i001−5−1+51+5−1−5−1+51−5−1+5−1−51+5−1−51−51+50000000000000002ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ14000000000000000000000000000000000000000000000000
χ934-4-44-4444-4-4−1−5−1+51+51+51−51−5−1−5−1+54i−4i−4i4i001+5−1−51−5−1+5−1−51+5−1−5−1+51−5−1+51+51−5000000000000000−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38000000000000000000000000000000000000000000000000
χ944-4-44-4444-4-4−1−5−1+51+51+51−51−5−1−5−1+5−4i4i4i−4i001+5−1−51−5−1+5−1−51+5−1−5−1+51−5−1+51+51−50000000000000002ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ38000000000000000000000000000000000000000000000000
χ954-4-44-44-4-444−1+5−1−51−51−51+51+5−1+5−1−50000001−5−1+51+5−1−51−5−1+51−51+5−1−51+5−1+5−1−504-40000−1+51−5−1+51−5−1−51+5−1−51+500000000000000000000000000000000000000000000000000000000
χ964-4-44-44-4-444−1+5−1−51−51−51+51+5−1+5−1−50000001−5−1+51+5−1−51−5−1+51−51+5−1−51+5−1+5−1−50-4400001−5−1+51−5−1+51+5−1−51+5−1−500000000000000000000000000000000000000000000000000000000
χ974-4-44-44-4-444−1−5−1+51+51+51−51−5−1−5−1+50000001+5−1−51−5−1+51+5−1−51+51−5−1+51−5−1−5−1+504-40000−1−51+5−1−51+5−1+51−5−1+51−500000000000000000000000000000000000000000000000000000000
χ984-4-44-44-4-444−1−5−1+51+51+51−51−5−1−5−1+50000001+5−1−51−5−1+51+5−1−51+51−5−1+51−5−1−5−1+50-4400001+5−1−51+5−1−51−5−1+51−5−1+500000000000000000000000000000000000000000000000000000000
χ9988-8-800000088-88-88-8-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10088-8-8000000−2+25−2−252−25−2+252+25−2−252−252+250000000000000000000000000000000000000000000000000002ζ7−2ζ13−2ζ23+2ζ37−2ζ7+2ζ13+2ζ23−2ζ3700−2ζ21+2ζ29−2ζ31+2ζ392ζ21−2ζ29+2ζ31−2ζ3900000000000000000000000000000000
χ10188-8-8000000−2+25−2−252−25−2+252+25−2−252−252+25000000000000000000000000000000000000000000000000000−2ζ7+2ζ13+2ζ23−2ζ372ζ7−2ζ13−2ζ23+2ζ37002ζ21−2ζ29+2ζ31−2ζ39−2ζ21+2ζ29−2ζ31+2ζ3900000000000000000000000000000000
χ10288-8-8000000−2−25−2+252+25−2−252−25−2+252+252−25000000000000000000000000000000000000000000000000000−2ζ21+2ζ29−2ζ31+2ζ392ζ21−2ζ29+2ζ31−2ζ3900−2ζ7+2ζ13+2ζ23−2ζ372ζ7−2ζ13−2ζ23+2ζ3700000000000000000000000000000000
χ10388-8-8000000−2−25−2+252+25−2−252−25−2+252+252−250000000000000000000000000000000000000000000000000002ζ21−2ζ29+2ζ31−2ζ39−2ζ21+2ζ29−2ζ31+2ζ39002ζ7−2ζ13−2ζ23+2ζ37−2ζ7+2ζ13+2ζ23−2ζ3700000000000000000000000000000000
χ1048-88-8000000−2+25−2−25−2+252−25−2−252+252−252+2500004i2−4i200000000000000000000000000000000000000000002ζ7+2ζ13+2ζ23+2ζ37−2ζ7−2ζ13−2ζ23−2ζ37002ζ21+2ζ29+2ζ31+2ζ39−2ζ21−2ζ29−2ζ31−2ζ390000000000000000000000000000000000
χ1058-88-8000000−2+25−2−25−2+252−25−2−252+252−252+250000−4i24i20000000000000000000000000000000000000000000−2ζ7−2ζ13−2ζ23−2ζ372ζ7+2ζ13+2ζ23+2ζ3700−2ζ21−2ζ29−2ζ31−2ζ392ζ21+2ζ29+2ζ31+2ζ390000000000000000000000000000000000
χ1068-88-8000000−2−25−2+25−2−252+25−2+252−252+252−2500004i2−4i200000000000000000000000000000000000000000002ζ21+2ζ29+2ζ31+2ζ39−2ζ21−2ζ29−2ζ31−2ζ39002ζ7+2ζ13+2ζ23+2ζ37−2ζ7−2ζ13−2ζ23−2ζ370000000000000000000000000000000000
χ1078-88-8000000−2−25−2+25−2−252+25−2+252−252+252−250000−4i24i20000000000000000000000000000000000000000000−2ζ21−2ζ29−2ζ31−2ζ392ζ21+2ζ29+2ζ31+2ζ3900−2ζ7−2ζ13−2ζ23−2ζ372ζ7+2ζ13+2ζ23+2ζ370000000000000000000000000000000000

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