Finite Group Databasebeta

← Group #12254708

Character table — Group #12254708

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111122222244444444444416161616222244444488888888888832323232222244444488888888888832323232555510101010101020202020202020202020202080808080
order12224488884488161616161616161622245101010202040404040202040408080808080808080101010205101010202040404040202040408080808080808080101010202222448888448816161616161616162224
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-1-1-11111111111111111111111-1-1-1-11111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1
χ311111111111111-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1-1-1-1-1-111-1-1
χ411111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111
χ51111111111-1-1-1-11111-1-1-1-11-11-11111111111-1-1-1-11111-1-1-1-11-11-11111111111-1-1-1-11111-1-1-1-11-11-11111111111-1-1-1-11111-1-1-1-11-11-1
χ61111111111-1-1-1-11111-1-1-1-1-11-111111111111-1-1-1-11111-1-1-1-1-11-111111111111-1-1-1-11111-1-1-1-1-11-111111111111-1-1-1-11111-1-1-1-1-11-11
χ71111111111-1-1-1-1-1-1-1-111111-1-111111111111-1-1-1-1-1-1-1-111111-1-111111111111-1-1-1-1-1-1-1-111111-1-111111111111-1-1-1-1-1-1-1-111111-1-11
χ81111111111-1-1-1-1-1-1-1-11111-111-11111111111-1-1-1-1-1-1-1-11111-111-11111111111-1-1-1-1-1-1-1-11111-111-11111111111-1-1-1-1-1-1-1-11111-111-1
χ9222222-2-2-2-222-2-2000000000000222222-2-2-2-222-2-2000000000000222222-2-2-2-222-2-2000000000000222222-2-2-2-222-2-2000000000000
χ10222222-2-2-2-2-2-222000000000000222222-2-2-2-2-2-222000000000000222222-2-2-2-2-2-222000000000000222222-2-2-2-2-2-222000000000000
χ112222-2-200002-20022−2−222−2−200002222-2-200002-20022−2−222−2−200002222-2-200002-20022−2−222−2−200002222-2-200002-20022−2−222−2−20000
χ122222-2-200002-200−2−222−2−22200002222-2-200002-200−2−222−2−22200002222-2-200002-200−2−222−2−22200002222-2-200002-200−2−222−2−2220000
χ132222-2-20000-220022−2−2−2−22200002222-2-20000-220022−2−2−2−22200002222-2-20000-220022−2−2−2−22200002222-2-20000-220022−2−2−2−2220000
χ142222-2-20000-2200−2−22222−2−200002222-2-20000-2200−2−22222−2−200002222-2-20000-2200−2−22222−2−200002222-2-20000-2200−2−22222−2−20000
χ152-2-222-20000002-22−22−22−22−200002-2-222-20000002-22−22−22−22−200002-2-222-20000002-22−22−22−22−200002-2-222-20000002-22−22−22−22−20000
χ162-2-222-20000002-2−22−22−22−2200002-2-222-20000002-2−22−22−22−2200002-2-222-20000002-2−22−22−22−2200002-2-222-20000002-2−22−22−22−220000
χ172-2-222-2000000-222−22−2−22−2200002-2-222-2000000-222−22−2−22−2200002-2-222-2000000-222−22−2−22−2200002-2-222-2000000-222−22−2−22−220000
χ182-2-222-2000000-22−22−222−22−200002-2-222-2000000-22−22−222−22−200002-2-222-2000000-22−22−222−22−200002-2-222-2000000-22−22−222−22−20000
χ192-2-22-2222-2-2000000002-2-2200002-2-22-2222-2-2000000002-2-2200002-2-22-2222-2-2000000002-2-2200002-2-22-2222-2-2000000002-2-220000
χ202-2-22-2222-2-200000000-222-200002-2-22-2222-2-200000000-222-200002-2-22-2222-2-200000000-222-200002-2-22-2222-2-200000000-222-20000
χ212-2-22-22-2-22200002-2-22000000002-2-22-22-2-22200002-2-22000000002-2-22-22-2-22200002-2-22000000002-2-22-22-2-22200002-2-2200000000
χ222-2-22-22-2-2220000-222-2000000002-2-22-22-2-2220000-222-2000000002-2-22-22-2-2220000-222-2000000002-2-22-22-2-2220000-222-200000000
χ2344-4-40022−2222−22000000000000000044-4-40022−2222−22000000000000000044-4-40022−2222−22000000000000000044-4-40022−2222−220000000000000000
χ2444-4-400−2222−2222000000000000000044-4-400−2222−2222000000000000000044-4-400−2222−2222000000000000000044-4-400−2222−22220000000000000000
χ254-44-40022−22−222200000000000000004-44-40022−22−222200000000000000004-44-40022−22−222200000000000000004-44-40022−22−22220000000000000000
χ264-44-400−222222−2200000000000000004-44-400−222222−2200000000000000004-44-400−222222−2200000000000000004-44-400−222222−220000000000000000
χ27111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ281111111111111111111111-1-1-1-11111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ2911111111111111-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111
χ3011111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ311111111111-1-1-1-11111-1-1-1-11-11-11111111111-1-1-1-11111-1-1-1-11-11-11111111111-1-1-1-11111-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11
χ321111111111-1-1-1-11111-1-1-1-1-11-111111111111-1-1-1-11111-1-1-1-1-11-111111111111-1-1-1-11111-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1
χ331111111111-1-1-1-1-1-1-1-111111-1-111111111111-1-1-1-1-1-1-1-111111-1-111111111111-1-1-1-1-1-1-1-111111-1-11-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1
χ341111111111-1-1-1-1-1-1-1-11111-111-11111111111-1-1-1-1-1-1-1-11111-111-11111111111-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-11
χ35222222-2-2-2-222-2-2000000000000222222-2-2-2-222-2-2000000000000222222-2-2-2-222-2-2000000000000-2-2-2-2-2-22222-2-222000000000000
χ36222222-2-2-2-2-2-222000000000000222222-2-2-2-2-2-222000000000000222222-2-2-2-2-2-222000000000000-2-2-2-2-2-2222222-2-2000000000000
χ372222-2-200002-20022−2−222−2−200002222-2-200002-20022−2−222−2−200002222-2-200002-20022−2−222−2−20000-2-2-2-2220000-2200−2−222−2−2220000
χ382222-2-200002-200−2−222−2−22200002222-2-200002-200−2−222−2−22200002222-2-200002-200−2−222−2−2220000-2-2-2-2220000-220022−2−222−2−20000
χ392222-2-20000-220022−2−2−2−22200002222-2-20000-220022−2−2−2−22200002222-2-20000-220022−2−2−2−2220000-2-2-2-22200002-200−2−22222−2−20000
χ402222-2-20000-2200−2−22222−2−200002222-2-20000-2200−2−22222−2−200002222-2-20000-2200−2−22222−2−20000-2-2-2-22200002-20022−2−2−2−2220000
χ412-2-222-20000002-22−22−22−22−200002-2-222-20000002-22−22−22−22−200002-2-222-20000002-22−22−22−22−20000-222-2-22000000-22−22−22−22−220000
χ422-2-222-20000002-2−22−22−22−2200002-2-222-20000002-2−22−22−22−2200002-2-222-20000002-2−22−22−22−220000-222-2-22000000-222−22−22−22−20000
χ432-2-222-2000000-222−22−2−22−2200002-2-222-2000000-222−22−2−22−2200002-2-222-2000000-222−22−2−22−220000-222-2-220000002-2−22−222−22−20000
χ442-2-222-2000000-22−22−222−22−200002-2-222-2000000-22−22−222−22−200002-2-222-2000000-22−22−222−22−20000-222-2-220000002-22−22−2−22−220000
χ452-2-22-2222-2-2000000002-2-2200002-2-22-2222-2-2000000002-2-2200002-2-22-2222-2-2000000002-2-220000-222-22-2-2-22200000000-222-20000
χ462-2-22-2222-2-200000000-222-200002-2-22-2222-2-200000000-222-200002-2-22-2222-2-200000000-222-20000-222-22-2-2-222000000002-2-220000
χ472-2-22-22-2-22200002-2-22000000002-2-22-22-2-22200002-2-22000000002-2-22-22-2-22200002-2-2200000000-222-22-222-2-20000-222-200000000
χ482-2-22-22-2-2220000-222-2000000002-2-22-22-2-2220000-222-2000000002-2-22-22-2-2220000-222-200000000-222-22-222-2-200002-2-2200000000
χ4944-4-40022−2222−22000000000000000044-4-40022−2222−22000000000000000044-4-40022−2222−220000000000000000-4-44400−2222−22220000000000000000
χ5044-4-400−2222−2222000000000000000044-4-400−2222−2222000000000000000044-4-400−2222−22220000000000000000-4-4440022−2222−220000000000000000
χ514-44-40022−22−222200000000000000004-44-40022−22−222200000000000000004-44-40022−22−22220000000000000000-44-4400−222222−220000000000000000
χ524-44-400−222222−2200000000000000004-44-400−222222−2200000000000000004-44-400−222222−220000000000000000-44-440022−22−22220000000000000000
χ5322222222222222222222222222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5200000000000000000000000000
χ542222222222222222222222-2-2-2-2−1+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+521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+5200000000000000000000000000
χ5522222222222222-2-2-2-2-2-2-2-222-2-2−1+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+521−521−521−521−521−521−521−521−52−1+52−1+521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+521+521+52−1−52−1−521+521+5200000000000000000000000000
χ5622222222222222-2-2-2-2-2-2-2-2-2-222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−521−521−521−521−52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+521+521+521+521+52−1−52−1−5200000000000000000000000000
χ572222222222-2-2-2-22222-2-2-2-22-22-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+52−1+52−1+521−521−521−521−52−1+521−52−1+521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−52−1−52−1−521+521+521+521+52−1−521+52−1−521+5200000000000000000000000000
χ582222222222-2-2-2-22222-2-2-2-2-22-22−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+52−1+52−1+521−521−521−521−521−52−1+521−52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−52−1−52−1−521+521+521+521+521+52−1−521+52−1−5200000000000000000000000000
χ592222222222-2-2-2-2-2-2-2-222222-2-22−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−521−521−52−1+52−1+52−1+52−1+52−1+521−521−52−1+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+52−1−52−1−52−1−52−1−52−1−521+521+52−1−5200000000000000000000000000
χ602222222222-2-2-2-2-2-2-2-22222-222-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−521−521−52−1+52−1+52−1+52−1+521−52−1+52−1+521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+521+521+52−1−52−1−52−1−52−1−521+52−1−52−1−521+5200000000000000000000000000
χ61444444-4-4-4-444-4-4000000000000−1+5−1+5−1+5−1+5−1+5−1+51−51−51−51−5−1+5−1+51−51−5000000000000−1−5−1−5−1−5−1−5−1−5−1−51+51+51+51+5−1−5−1−51+51+500000000000000000000000000000000000000
χ62444444-4-4-4-4-4-444000000000000−1+5−1+5−1+5−1+5−1+5−1+51−51−51−51−51−51−5−1+5−1+5000000000000−1−5−1−5−1−5−1−5−1−5−1−51+51+51+51+51+51+5−1−5−1−500000000000000000000000000000000000000
χ634444-4-400004-4002222−22−222222−22−220000−1+5−1+5−1+5−1+51−51−50000−1+51−500−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ370000−1−5−1−5−1−5−1−51+51+50000−1−51+500ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39000000000000000000000000000000
χ644444-4-400004-400−22−222222−22−2222220000−1+5−1+5−1+5−1+51−51−50000−1+51−500ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ370000−1−5−1−5−1−5−1−51+51+50000−1−51+500−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39000000000000000000000000000000
χ654444-4-40000-44002222−22−22−22−2222220000−1+5−1+5−1+5−1+51−51−500001−5−1+500−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ370000−1−5−1−5−1−5−1−51+51+500001+5−1−500ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39000000000000000000000000000000
χ664444-4-40000-4400−22−2222222222−22−220000−1+5−1+5−1+5−1+51−51−500001−5−1+500ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ370000−1−5−1−5−1−5−1−51+51+500001+5−1−500−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39000000000000000000000000000000
χ674-4-444-40000004-422−2222−2222−2222−220000−1+51−51−5−1+5−1+51−5000000−1+51−5−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ370000−1−51+51+5−1−5−1−51+5000000−1−51+5ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39000000000000000000000000000000
χ684-4-444-40000004-4−2222−2222−2222−22220000−1+51−51−5−1+5−1+51−5000000−1+51−5ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ370000−1−51+51+5−1−5−1−51+5000000−1−51+5−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39000000000000000000000000000000
χ694-4-444-4000000-4422−2222−22−2222−22220000−1+51−51−5−1+5−1+51−50000001−5−1+5−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ370000−1−51+51+5−1−5−1−51+50000001+5−1−5ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39000000000000000000000000000000
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χ714-4-44-4444-4-4000000004-4-440000−1+51−51−5−1+51−5−1+5−1+5−1+51−51−500000000−1+51−51−5−1+50000−1−51+51+5−1−51+5−1−5−1−5−1−51+51+500000000−1−51+51+5−1−5000000000000000000000000000000
χ724-4-44-4444-4-400000000-444-40000−1+51−51−5−1+51−5−1+5−1+5−1+51−51−5000000001−5−1+5−1+51−50000−1−51+51+5−1−51+5−1−5−1−5−1−51+51+5000000001+5−1−5−1−51+5000000000000000000000000000000
χ734-4-44-44-4-44400004-4-4400000000−1+51−51−5−1+51−5−1+51−51−5−1+5−1+50000−1+51−51−5−1+500000000−1−51+51+5−1−51+5−1−51+51+5−1−5−1−50000−1−51+51+5−1−50000000000000000000000000000000000
χ744-4-44-44-4-4440000-444-400000000−1+51−51−5−1+51−5−1+51−51−5−1+5−1+500001−5−1+5−1+51−500000000−1−51+51+5−1−51+5−1−51+51+5−1−5−1−500001+5−1−5−1−51+50000000000000000000000000000000000
χ7588-8-80042−4242−420000000000000000−2+25−2+252−252−2500−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ370000000000000000−2−25−2−252+252+25002ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ39000000000000000000000000000000000000000000
χ7688-8-800−4242−42420000000000000000−2+25−2+252−252−25002ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ370000000000000000−2−25−2−252+252+2500−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ39000000000000000000000000000000000000000000
χ778-88-80042−42−42420000000000000000−2+252−25−2+252−2500−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ372ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ370000000000000000−2−252+25−2−252+25002ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ39−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ39000000000000000000000000000000000000000000
χ788-88-800−424242−420000000000000000−2+252−25−2+252−25002ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ370000000000000000−2−252+25−2−252+2500−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ392ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ39000000000000000000000000000000000000000000
χ7922222222222222222222222222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+5200000000000000000000000000
χ802222222222222222222222-2-2-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+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+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−5200000000000000000000000000
χ8122222222222222-2-2-2-2-2-2-2-222-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+521+521+52−1−52−1−521+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+521−521−521−521−521−521−521−521−52−1+52−1+521−521−5200000000000000000000000000
χ8222222222222222-2-2-2-2-2-2-2-2-2-222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+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+521−521−521−521−521−521−521−521−521−521−52−1+52−1+5200000000000000000000000000
χ832222222222-2-2-2-22222-2-2-2-22-22-2−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−52−1−52−1−521+521+521+521+52−1−521+52−1−521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+52−1+52−1+521−521−521−521−52−1+521−52−1+521−5200000000000000000000000000
χ842222222222-2-2-2-22222-2-2-2-2-22-22−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−52−1−52−1−521+521+521+521+521+52−1−521+52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+52−1+52−1+521−521−521−521−521−52−1+521−52−1+5200000000000000000000000000
χ852222222222-2-2-2-2-2-2-2-222222-2-22−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+521+521+52−1−52−1−52−1−52−1−52−1−521+521+52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−521−521−52−1+52−1+52−1+52−1+52−1+521−521−52−1+5200000000000000000000000000
χ862222222222-2-2-2-2-2-2-2-22222-222-2−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+521+521+52−1−52−1−52−1−52−1−521+52−1−52−1−521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−521−521−52−1+52−1+52−1+52−1+521−52−1+52−1+521−5200000000000000000000000000
χ87444444-4-4-4-444-4-4000000000000−1−5−1−5−1−5−1−5−1−5−1−51+51+51+51+5−1−5−1−51+51+5000000000000−1+5−1+5−1+5−1+5−1+5−1+51−51−51−51−5−1+5−1+51−51−500000000000000000000000000000000000000
χ88444444-4-4-4-4-4-444000000000000−1−5−1−5−1−5−1−5−1−5−1−51+51+51+51+51+51+5−1−5−1−5000000000000−1+5−1+5−1+5−1+5−1+5−1+51−51−51−51−51−51−5−1+5−1+500000000000000000000000000000000000000
χ894444-4-400004-4002222−22−222222−22−220000−1−5−1−5−1−5−1−51+51+50000−1−51+500ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ390000−1+5−1+5−1+5−1+51−51−50000−1+51−500−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37000000000000000000000000000000
χ904444-4-400004-400−22−222222−22−2222220000−1−5−1−5−1−5−1−51+51+50000−1−51+500−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ390000−1+5−1+5−1+5−1+51−51−50000−1+51−500ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37000000000000000000000000000000
χ914444-4-40000-44002222−22−22−22−2222220000−1−5−1−5−1−5−1−51+51+500001+5−1−500ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ390000−1+5−1+5−1+5−1+51−51−500001−5−1+500−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37000000000000000000000000000000
χ924444-4-40000-4400−22−2222222222−22−220000−1−5−1−5−1−5−1−51+51+500001+5−1−500−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ390000−1+5−1+5−1+5−1+51−51−500001−5−1+500ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37000000000000000000000000000000
χ934-4-444-40000004-422−2222−2222−2222−220000−1−51+51+5−1−5−1−51+5000000−1−51+5ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ390000−1+51−51−5−1+5−1+51−5000000−1+51−5−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37000000000000000000000000000000
χ944-4-444-40000004-4−2222−2222−2222−22220000−1−51+51+5−1−5−1−51+5000000−1−51+5−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ390000−1+51−51−5−1+5−1+51−5000000−1+51−5ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37000000000000000000000000000000
χ954-4-444-4000000-4422−2222−22−2222−22220000−1−51+51+5−1−5−1−51+50000001+5−1−5ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ390000−1+51−51−5−1+5−1+51−50000001−5−1+5−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37000000000000000000000000000000
χ964-4-444-4000000-44−2222−222222−2222−220000−1−51+51+5−1−5−1−51+50000001+5−1−5−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ390000−1+51−51−5−1+5−1+51−50000001−5−1+5ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37000000000000000000000000000000
χ974-4-44-4444-4-4000000004-4-440000−1−51+51+5−1−51+5−1−5−1−5−1−51+51+500000000−1−51+51+5−1−50000−1+51−51−5−1+51−5−1+5−1+5−1+51−51−500000000−1+51−51−5−1+5000000000000000000000000000000
χ984-4-44-4444-4-400000000-444-40000−1−51+51+5−1−51+5−1−5−1−5−1−51+51+5000000001+5−1−5−1−51+50000−1+51−51−5−1+51−5−1+5−1+5−1+51−51−5000000001−5−1+5−1+51−5000000000000000000000000000000
χ994-4-44-44-4-44400004-4-4400000000−1−51+51+5−1−51+5−1−51+51+5−1−5−1−50000−1−51+51+5−1−500000000−1+51−51−5−1+51−5−1+51−51−5−1+5−1+50000−1+51−51−5−1+50000000000000000000000000000000000
χ1004-4-44-44-4-4440000-444-400000000−1−51+51+5−1−51+5−1−51+51+5−1−5−1−500001+5−1−5−1−51+500000000−1+51−51−5−1+51−5−1+51−51−5−1+5−1+500001−5−1+5−1+51−50000000000000000000000000000000000
χ10188-8-80042−4242−420000000000000000−2−25−2−252+252+25002ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ390000000000000000−2+25−2+252−252−2500−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ37000000000000000000000000000000000000000000
χ10288-8-800−4242−42420000000000000000−2−25−2−252+252+2500−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ390000000000000000−2+25−2+252−252−25002ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37000000000000000000000000000000000000000000
χ1038-88-80042−42−42420000000000000000−2−252+25−2−252+25002ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ39−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ390000000000000000−2+252−25−2+252−2500−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ372ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37000000000000000000000000000000000000000000
χ1048-88-800−424242−420000000000000000−2−252+25−2−252+2500−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ392ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ390000000000000000−2+252−25−2+252−25002ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ37000000000000000000000000000000000000000000

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