Finite Group Databasebeta

← Group #12076863

Character table — Group #12076863

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11112222222222224444444444444448888888888888888888888888101010101010161616161616161616161616161616161616202020202020203232404040404040408080
order1222444455101010101010224888820202020202020202224488101010101010101020204040404040404040224444481010101020202020404040404040404022488882020244448828
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-1-11-1111111-1-1-1-11111111111111111-1-1-1-1-1-111-1-11111-1-1-1-11111111-1-1-11-1-1-111-1-1
χ41111111111111111111111111111111-1-1-11-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111
χ51111111111111111111-1-1-1-11111111111111-1-11111111111-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-111111-1-1-1-1
χ61111111111111111111-1-1-1-11111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111
χ71111111111111111111-1-1-1-111111111-1-1-11-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111111-1-1-1-111-11-1-1-1-1-111
χ81111111111111111111-1-1-1-111111111-1-1-11-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-11111111-111111-1-1
χ91111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-11-1
χ101111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1111-11
χ111111111111111111-1-11111111111111-1-11-11-1-1-1-1-1-111111111111111111111-11-1-1-1-1-1-111-1-1-1-11111-1-111111-1-11-1-1-11-1-1-11
χ121111111111111111-1-11111111111111-1-11-11-1-1-1-1-1-111111111111111-1-1-1-1-1-1-11-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1111-1
χ131111111111111111-1-11-1-1-1-11111111111-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-111111-1-1-1-111111111-1-11-1-1-1-1-1-1-1-111-111-11
χ141111111111111111-1-11-1-1-1-11111111111-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111111111-11111-1-111-1-11-1-11-1
χ151111111111111111-1-11-1-1-1-111111111-1-11-1111-1-1-1-1111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-1-1-1111-1-1-11111-1
χ161111111111111111-1-11-1-1-1-111111111-1-11-1111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1111111-1-1-1-111-1111111-1111-1-1-1-11
χ1722222222−1+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+52−1−522222222−1+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+52−1−52−1−52−1−52−1−5200000022−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000−1+52−1−52000000000
χ1822222222−1+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+52−1−52-2-2-22-222−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000-2-21−521−521+521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+5200000001−521+52000000000
χ1922222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222222-2-2−1+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+52000000-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+5200000001−521+52000000000
χ2022222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-22-2-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−521−521−521−521−521+521+521+521+52000000221−521−521+521+52−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−520000000−1+52−1−52000000000
χ2122222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000002-2−1+52−1+52−1−52−1−521−521+521−521+521−521−521+521+521−521−521+521+520000000−1+52−1−52000000000
χ2222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-22-22-2-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000-221−521−521+521+521−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000001−521+52000000000
χ2322222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-22-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-2-2221−521−521+521+521−521−521+521+52−1+52−1−521−521−521−521−521+521+521+521+52000000-22−1+52−1+52−1−52−1−521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000001−521+52000000000
χ2422222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-22-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-22-22221−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+520000002-21−521−521+521+521−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000000−1+52−1−52000000000
χ2522222222−1−52−1+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+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+5200000022−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000−1−52−1+52000000000
χ2622222222−1−52−1+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+52-2-2-22-222−1−52−1−52−1+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+52000000-2-21+521+521−521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−5200000001+521−52000000000
χ2722222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52000000-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−5200000001+521−52000000000
χ2822222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-22-2-2-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+521+521+521+521+521−521−521−521−52000000221+521+521−521−52−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+520000000−1−52−1+52000000000
χ2922222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-2-2-2-21+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000002-2−1−52−1−52−1+52−1+521+521−521+521−521+521+521−521−521+521+521−521−520000000−1−52−1+52000000000
χ3022222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-22-22-2-21+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+52000000-221+521+521−521−521+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000001+521−52000000000
χ3122222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-22-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-2-2221+521+521−521−521+521+521−521−52−1−52−1+521+521+521+521+521−521−521−521−52000000-22−1−52−1−52−1+52−1+521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000001+521−52000000000
χ3222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-22-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-22-22221+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−520000002-21+521+521−521−521+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000000−1−52−1+52000000000
χ3322222-22-22222222200-2000022-2-222-2-20020-20000002222-2-2000000002222-2-200000000-2-20000000000-2000000-200020000
χ3422222-22-22222222200-2000022-2-222-2-20020-20000002222-2-200000000-2-2-2-22200000000-2-2000000000020000002000-20000
χ3522222-22-22222222200-2000022-2-222-2-200-202000000-2-2-2-2-2-2000000002222-2-200000000220000000000-20000002000-20000
χ3622222-22-22222222200-2000022-2-222-2-200-202000000-2-2-2-2-2-200000000-2-2-2-222000000002200000000002000000-200020000
χ372222-22-222222222222-20000-2-222-2-222000-200022220000-2-20000000022-2-222000000-2-2000000000022-20000000-20000000
χ382222-22-222222222222-20000-2-222-2-222000-200022220000-2-200000000-2-222-2-2000000-2-20000000000-2-22000000020000000
χ392222-22-2222222222-2-2-20000-2-222-2-2220002000-2-2-2-20000-2-20000000022-2-222000000220000000000-2-2-2000000020000000
χ402222-22-2222222222-2-2-20000-2-222-2-2220002000-2-2-2-20000-2-200000000-2-222-2-20000002200000000002220000000-20000000
χ412222-2-2-2-2222222220020000-2-2-2-2-2-2-2-22-20000000000000220000000022-2-2-2-2002-22-2000000000000002000000002-200000
χ422222-2-2-2-2222222220020000-2-2-2-2-2-2-2-22-200000000000002200000000-2-22222002-22-200000000000000-200000000-2200000
χ432222-2-2-2-2222222220020000-2-2-2-2-2-2-2-2-220000000000000220000000022-2-2-2-200-22-2200000000000000200000000-2200000
χ442222-2-2-2-2222222220020000-2-2-2-2-2-2-2-2-2200000000000002200000000-2-2222200-22-2200000000000000-2000000002-200000
χ452-2-220-20222-2-2-2-2222-2022−2−200-2-20022000002−22-22-200000022−2−222−2−22-2002-200000000002−22−200002-2022−2−200000002−200
χ462-2-220-20222-2-2-2-2222-2022−2−200-2-20022000002−22-22-200000022−2−222−2−2-2200-2200000000002−22−20000-220−2−2220000000−2200
χ472-2-220-20222-2-2-2-2222-20−2−22200-2-2002200000−222-22-2000000−2−222−2−2222-2002-20000000000−22−2200002-20−2−2220000000−2200
χ482-2-220-20222-2-2-2-2222-20−2−22200-2-2002200000−222-22-2000000−2−222−2−222-2200-220000000000−22−220000-22022−2−200000002−200
χ492-2-220-20222-2-2-2-222-22022−2−200-2-2002200000−22-22-2200000022−2−222−2−22-2002-20000000000−22−220000-22022−2−20000000−2200
χ502-2-220-20222-2-2-2-222-22022−2−200-2-2002200000−22-22-2200000022−2−222−2−2-2200-220000000000−22−2200002-20−2−22200000002−200
χ512-2-220-20222-2-2-2-222-220−2−22200-2-20022000002−2-22-22000000−2−222−2−2222-2002-200000000002−22−20000-220−2−22200000002−200
χ522-2-220-20222-2-2-2-222-220−2−22200-2-20022000002−2-22-22000000−2−222−2−222-2200-2200000000002−22−200002-2022−2−20000000−2200
χ5344444-44-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−500-40000−1+5−1−51−51+5−1+5−1−51−51+50040-4000000−1+5−1+5−1−5−1−51−51+500000000000000000000001−51+500000000000000000000000000
χ5444444-44-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−500-40000−1+5−1−51−51+5−1+5−1−51−51+500-4040000001−51−51+51+51−51+50000000000000000000000−1+5−1−500000000000000000000000000
χ5544444-44-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+500-40000−1−5−1+51+51−5−1−5−1+51+51−50040-4000000−1−5−1−5−1+5−1+51+51−500000000000000000000001+51−500000000000000000000000000
χ5644444-44-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+500-40000−1−5−1+51+51−5−1−5−1+51+51−500-4040000001+51+51−51−51+51−50000000000000000000000−1−5−1+500000000000000000000000000
χ574444-44-44−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−544-400001−51+5−1+5−1−51−51+5−1+5−1−5000-4000−1+5−1+5−1−5−1−500001−51+5000000000000000000001−51+50000000000000000000000000000
χ584444-44-44−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-4-4-400001−51+5−1+5−1−51−51+5−1+5−1−500040001−51−51+51+500001−51+500000000000000000000−1+5−1−50000000000000000000000000000
χ594444-44-44−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+544-400001+51−5−1−5−1+51+51−5−1−5−1+5000-4000−1−5−1−5−1+5−1+500001+51−5000000000000000000001+51−50000000000000000000000000000
χ604444-44-44−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5-4-4-400001+51−5−1−5−1+51+51−5−1−5−1+500040001+51+51−51−500001+51−500000000000000000000−1−5−1+50000000000000000000000000000
χ614444-4-4-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−500400001−51+51−51+51−51+51−51+54-40000000000000−1+5−1−50000000000000000−1+51−5−1−51+5000000000000000000000000000000
χ624444-4-4-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−500400001−51+51−51+51−51+51−51+5-440000000000000−1+5−1−500000000000000001−5−1+51+5−1−5000000000000000000000000000000
χ634444-4-4-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+500400001+51−51+51−51+51−51+51−54-40000000000000−1−5−1+50000000000000000−1−51+5−1+51−5000000000000000000000000000000
χ644444-4-4-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+500400001+51−51+51−51+51−51+51−5-440000000000000−1−5−1+500000000000000001+5−1−51−5−1+5000000000000000000000000000000
χ6544-4-400004444-4-4-4-40002i−2i2i−2i00000000000000000000000002i−2i2i−2i2i−2i2i−2i004i−4i000000000000000000000002-22-200000000000
χ6644-4-400004444-4-4-4-40002i−2i2i−2i00000000000000000000000002i−2i2i−2i2i−2i2i−2i00−4i4i00000000000000000000000-22-2200000000000
χ6744-4-400004444-4-4-4-4000−2i2i−2i2i0000000000000000000000000−2i2i−2i2i−2i2i−2i2i004i−4i00000000000000000000000-22-2200000000000
χ6844-4-400004444-4-4-4-4000−2i2i−2i2i0000000000000000000000000−2i2i−2i2i−2i2i−2i2i00−4i4i000000000000000000000002-22-200000000000
χ694-44-440-4044-4-444-4-40002i2−2i2−2i22i24400-4-400000000000000000002i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000000000000000000000
χ704-44-440-4044-4-444-4-4000−2i22i22i2−2i24400-4-40000000000000000000−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000000000000000000000
χ714-44-440-40−1+5−1−51−51+5−1+5−1−51−51+50002i2−2i2−2i22i2−1+5−1−5001−51+500000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ3600ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ3900000000000000000000ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39000000000000000000
χ724-44-440-40−1+5−1−51−51+5−1+5−1−51−51+50002i2−2i2−2i22i2−1+5−1−5001−51+50000000000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ3600ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ3900000000000000000000−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39000000000000000000
χ734-44-440-40−1+5−1−51−51+5−1+5−1−51−51+5000−2i22i22i2−2i2−1+5−1−5001−51+500000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ3600−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ3900000000000000000000−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39000000000000000000
χ744-44-440-40−1+5−1−51−51+5−1+5−1−51−51+5000−2i22i22i2−2i2−1+5−1−5001−51+50000000000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ3600−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ3900000000000000000000ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39000000000000000000
χ754-44-440-40−1−5−1+51+51−5−1−5−1+51+51−50002i2−2i2−2i22i2−1−5−1+5001+51−50000000000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ3700000000000000000000ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37000000000000000000
χ764-44-440-40−1−5−1+51+51−5−1−5−1+51+51−50002i2−2i2−2i22i2−1−5−1+5001+51−500000000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2800ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ3700000000000000000000−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37000000000000000000
χ774-44-440-40−1−5−1+51+51−5−1−5−1+51+51−5000−2i22i22i2−2i2−1−5−1+5001+51−50000000000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ3700000000000000000000−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37000000000000000000
χ784-44-440-40−1−5−1+51+51−5−1−5−1+51+51−5000−2i22i22i2−2i2−1−5−1+5001+51−500000000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2800−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ3700000000000000000000ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37000000000000000000
χ794-44-4-404044-4-444-4-40000000-4-4004400000000000000000000000000000000000000000000000000000022−22−222200000000000
χ804-44-4-404044-4-444-4-40000000-4-40044000000000000000000000000000000000000000000000000000000−222222−2200000000000
χ814-4-44040-444-4-4-4-4440000000004400-4-400000000000000000000000004-400-44000000000000000000000000000000000000
χ824-4-44040-444-4-4-4-4440000000004400-4-40000000000000000000000000-44004-4000000000000000000000000000000000000
χ834-4-440-404−1+5−1−51−51+51−51+5−1+5−1−54-402222−22−22001−51+500−1+5−1−50000022−22−1+51−5−1−51+5000000−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ390000000000000000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ390000000000000000000000
χ844-4-440-404−1+5−1−51−51+51−51+5−1+5−1−54-40−22−222222001−51+500−1+5−1−500000−2222−1+51−5−1−51+5000000ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ390000000000000000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ390000000000000000000000
χ854-4-440-404−1+5−1−51−51+51−51+5−1+5−1−5-4402222−22−22001−51+500−1+5−1−500000−22221−5−1+51+5−1−5000000−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ390000000000000000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ390000000000000000000000
χ864-4-440-404−1+5−1−51−51+51−51+5−1+5−1−5-440−22−222222001−51+500−1+5−1−50000022−221−5−1+51+5−1−5000000ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ390000000000000000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ390000000000000000000000
χ874-4-440-404−1−5−1+51+51−51+51−5−1−5−1+54-402222−22−22001+51−500−1−5−1+50000022−22−1−51+5−1+51−5000000ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ370000000000000000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ370000000000000000000000
χ884-4-440-404−1−5−1+51+51−51+51−5−1−5−1+54-40−22−222222001+51−500−1−5−1+500000−2222−1−51+5−1+51−5000000−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ370000000000000000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ370000000000000000000000
χ894-4-440-404−1−5−1+51+51−51+51−5−1−5−1+5-4402222−22−22001+51−500−1−5−1+500000−22221+5−1−51−5−1+5000000ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ370000000000000000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ370000000000000000000000
χ904-4-440-404−1−5−1+51+51−51+51−5−1−5−1+5-440−22−222222001+51−500−1−5−1+50000022−221+5−1−51−5−1+5000000−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ370000000000000000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ370000000000000000000000
χ9188-8-80000−2+25−2−25−2+25−2−252−252+252−252+250004i−4i4i−4i0000000000000000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14000000000000000000000000000000000000000000
χ9288-8-80000−2+25−2−25−2+25−2−252−252+252−252+25000−4i4i−4i4i00000000000000000000000002ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ14000000000000000000000000000000000000000000
χ9388-8-80000−2−25−2+25−2−25−2+252+252−252+252−250004i−4i4i−4i0000000000000000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38000000000000000000000000000000000000000000
χ9488-8-80000−2−25−2+25−2−25−2+252+252−252+252−25000−4i4i−4i4i00000000000000000000000002ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ38000000000000000000000000000000000000000000
χ958-88-8-8080−2+25−2−252−252+25−2+25−2−252−252+2500000002−252+2500−2+25−2−25000000000000000000000000000000000000000000000000000000000000000000000
χ968-88-8-8080−2−25−2+252+252−25−2−25−2+252+252−2500000002+252−2500−2−25−2+25000000000000000000000000000000000000000000000000000000000000000000000
χ978-8-88080-8−2+25−2−252−252+252−252+25−2+25−2−25000000000−2+25−2−25002−252+250000000000000000000000000000000000000000000000000000000000000000000
χ988-8-88080-8−2−25−2+252+252−252+252−25−2−25−2+25000000000−2−25−2+25002+252−250000000000000000000000000000000000000000000000000000000000000000000

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