Finite Group Databasebeta

← Group #12253695

Character table — Group #12253695

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size112222222222244444444444444444455888888888888888810101010101010161616161616161616161616161616161616202020203232323240404040404040408080
order122445588881010448810102020202040404040404040404424881616161620202020404040402248888441010202040404040808080808080808044882020202024881616161622
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1111111111111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ51111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ81111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ91111111-1-11111-1-11-1111111-1-1-1-111111111-1-111-1-1-1-1-1-111-1-111111-1-11-11111-1-1-1-11111-1-1-1-1-1-11-111-1-111-1-111-1-11-1
χ101111111-1-11111-1-11-1111111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111111-1-1-111111-1-1-1-1-1-1-1-11111-1-11-1-1-11111-1-1-1-111-11
χ111111111-1-11111-1-11-1111111-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-111111-1-1-11-1-1-1-111111111-1-1-1-1-1-11-1-1-111-1-11111-1-1-11
χ121111111-1-11111-1-11-1111111-1-1-1-1111111-1-111-1-111-1-1-1-111-1-111111-1-11-1-1-1-1-11111-1-1-1-11111-1-11-111-1-1-1-111-1-1111-1
χ131111111-1-11111-1-11-1111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1111-11111-1-1-1-11111-1-1-1-111-1111-1-1-1-111-1-111-11
χ141111111-1-11111-1-11-1111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-111-111111-1-1-1-1-1-1-1-1111111-11-1-111-1-11111-1-11-1
χ151111111-1-11111-1-11-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-111-11-1-1-1-111111111-1-1-1-111-11-1-11111-1-1-1-1111-1
χ161111111-1-11111-1-11-1111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1-1111111-1111-1-111-1-111-1-1-11
χ17222222222-2-222-2-2-222222222222-2-2-2-22200000000-2-2-2-2-2-222222-2-222000000000000000000-2-2-2200000000000000
χ18222222222-2-222-2-2-222222222222-2-2-2-2-2-200000000-2-2-2-2-2-222-2-2-222-2-2000000000000000000222-200000000000000
χ192222222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-222000000002222-2-2-2-2222-2-2-2-200000000000000000022-2-200000000000000
χ202222222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-2-2-2000000002222-2-2-2-2-2-2-22222000000000000000000-2-22200000000000000
χ2122222−1+52−1−522222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520022222222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52000000022−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000−1+52−1−52−1+52−1−520000000000
χ2222222−1+52−1−522222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52002222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−520000000-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200001−521+521−521+520000000000
χ2322222−1+52−1−522222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200-2-2-2-22222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−520000000-2-21−521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200001−521+521−521+520000000000
χ2422222−1+52−1−522222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−520000000221−521+521−521+521−521−521+521+521−521−521+521+521−521−521+521+520000−1+52−1−52−1+52−1−520000000000
χ2522222−1+52−1−52-2-222−1+52−1−52-2-22-2−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520022-2-222-2-21−521−521+521+52−1+52−1−521−521+5200000002-2−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000−1+52−1−521−521+520000000000
χ2622222−1+52−1−52-2-222−1+52−1−52-2-22-2−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520022-2-2-2-2221−521−521+521+52−1+52−1−521−521+520000000-22−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200001−521+52−1+52−1−520000000000
χ2722222−1+52−1−52-2-222−1+52−1−52-2-22-2−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200-2-22222-2-21−521−521+521+52−1+52−1−521−521+520000000-221−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200001−521+52−1+52−1−520000000000
χ2822222−1+52−1−52-2-222−1+52−1−52-2-22-2−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200-2-222-2-2221−521−521+521+52−1+52−1−521−521+5200000002-21−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000−1+52−1−521−521+520000000000
χ2922222−1−52−1+522222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520022222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52000000022−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000−1−52−1+52−1−52−1+520000000000
χ3022222−1−52−1+522222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52002222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+520000000-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200001+521−521+521−520000000000
χ3122222−1−52−1+522222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200-2-2-2-22222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+520000000-2-21+521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200001+521−521+521−520000000000
χ3222222−1−52−1+522222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+520000000221+521−521+521−521+521+521−521−521+521+521−521−521+521+521−521−520000−1−52−1+52−1−52−1+520000000000
χ3322222−1−52−1+52-2-222−1−52−1+52-2-22-2−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520022-2-222-2-21+521+521−521−52−1−52−1+521+521−5200000002-2−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000−1−52−1+521+521−520000000000
χ3422222−1−52−1+52-2-222−1−52−1+52-2-22-2−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520022-2-2-2-2221+521+521−521−52−1−52−1+521+521−520000000-22−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200001+521−52−1−52−1+520000000000
χ3522222−1−52−1+52-2-222−1−52−1+52-2-22-2−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200-2-22222-2-21+521+521−521−52−1−52−1+521+521−520000000-221+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200001+521−52−1−52−1+520000000000
χ3622222−1−52−1+52-2-222−1−52−1+52-2-22-2−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200-2-222-2-2221+521+521−521−52−1−52−1+521+521−5200000002-21+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000−1−52−1+521+521−520000000000
χ3722-22-22200222200-20-2-222-2-200002222222-20000000000-2-2002-2-222000022-2-200000000000000-200000-2200000000
χ3822-22-22200222200-20-2-222-2-20000222222-220000000000-2-2002-2-2220000-2-22200000000000000-2000002-200000000
χ3922-22-22200222200-20-2-222-2-200002222-2-22-20000000000-2-200-222-2-2000022-2-2000000000000002000002-200000000
χ4022-22-22200222200-20-2-222-2-200002222-2-2-220000000000-2-200-222-2-20000-2-22200000000000000200000-2200000000
χ4122-22-22200-2-2220020-2-222-2-20000-2-2-2-222002i−2i0000000022002-2-2-2-2000000002i−2i2i−2i0000000000200000002i−2i000000
χ4222-22-22200-2-2220020-2-222-2-20000-2-2-2-22200−2i2i0000000022002-2-2-2-200000000−2i2i−2i2i000000000020000000−2i2i000000
χ4322-22-22200-2-2220020-2-222-2-20000-2-2-2-2-2-2002i−2i000000002200-22222000000002i−2i2i−2i0000000000-20000000−2i2i000000
χ4422-22-22200-2-2220020-2-222-2-20000-2-2-2-2-2-200−2i2i000000002200-2222200000000−2i2i−2i2i0000000000-200000002i−2i000000
χ4522-2-2222220022000-2-2-2-2-222222200002200002−22−2000000-2-2-22-2002200000000002−22−22−22−2000-2000000002−22−200
χ4622-2-2222220022000-2-2-2-2-22222220000220000−22−22000000-2-2-22-200220000000000−22−22−22−22000-200000000−22−2200
χ4722-2-2222220022000-2-2-2-2-22222220000-2-200002−22−2000000-2-22-2200-2-200000000002−22−22−22−2000200000000−22−2200
χ4822-2-2222220022000-2-2-2-2-22222220000-2-20000−22−22000000-2-22-2200-2-20000000000−22−22−22−220002000000002−22−200
χ4922-2-2222-2-200220002-2-2-2-222-2-2-2-200002200002−2−2200000022-22-200-2-200000000002−22−2−22−220002000000002−2−2200
χ5022-2-2222-2-200220002-2-2-2-222-2-2-2-20000220000−222−200000022-22-200-2-20000000000−22−222−22−2000200000000−222−200
χ5122-2-2222-2-200220002-2-2-2-222-2-2-2-20000-2-200002−2−22000000222-22002200000000002−22−2−22−22000-200000000−222−200
χ5222-2-2222-2-200220002-2-2-2-222-2-2-2-20000-2-20000−222−2000000222-2200220000000000−22−222−22−2000-2000000002−2−2200
χ5344444−1+5−1−544-4-4−1+5−1−5-4-4-44−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−51−51−51+51+500000000001−51−51+51+51−51+5−1+5−1−50000000000000000000000000000000000000000000
χ5444444−1+5−1−5-4-4-4-4−1+5−1−544-4-4−1+5−1−5−1+5−1−5−1+5−1−51−51−51+51+51−51−51+51+50000000000−1+5−1+5−1−5−1−51−51+51−51+50000000000000000000000000000000000000000000
χ5544444−1−5−1+544-4-4−1−5−1+5-4-4-44−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+51+51+51−51−500000000001+51+51−51−51+51−5−1−5−1+50000000000000000000000000000000000000000000
χ5644444−1−5−1+5-4-4-4-4−1−5−1+544-4-4−1−5−1+5−1−5−1+5−1−5−1+51+51+51−51−51+51+51−51−50000000000−1−5−1−5−1+5−1+51+51−51+51−50000000000000000000000000000000000000000000
χ57444-4-444000044000044-4-4-4-400000000440000000000000000-4-440000000000000000000000000000000000000000
χ58444-4-444000044000044-4-4-4-400000000-4-4000000000000000044-40000000000000000000000000000000000000000
χ5944-44-4−1+5−1−50044−1+5−1−500-401−51+5−1+5−1−51−51+50000−1+5−1+5−1−5−1−5004-400000000001−51+500000000000−1+5−1−51−51+5000000000000000000000000000000
χ6044-44-4−1+5−1−50044−1+5−1−500-401−51+5−1+5−1−51−51+50000−1+5−1+5−1−5−1−500-4400000000001−51+5000000000001−51+5−1+5−1−5000000000000000000000000000000
χ6144-44-4−1+5−1−500-4-4−1+5−1−500401−51+5−1+5−1−51−51+500001−51−51+51+500004i−4i00000000−1+5−1−5000000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ1400000000000000000000000000
χ6244-44-4−1+5−1−500-4-4−1+5−1−500401−51+5−1+5−1−51−51+500001−51−51+51+50000−4i4i00000000−1+5−1−50000000000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ1400000000000000000000000000
χ6344-44-4−1−5−1+50044−1−5−1+500-401+51−5−1−5−1+51+51−50000−1−5−1−5−1+5−1+5004-400000000001+51−500000000000−1−5−1+51+51−5000000000000000000000000000000
χ6444-44-4−1−5−1+50044−1−5−1+500-401+51−5−1−5−1+51+51−50000−1−5−1−5−1+5−1+500-4400000000001+51−5000000000001+51−5−1−5−1+5000000000000000000000000000000
χ6544-44-4−1−5−1+500-4-4−1−5−1+500401+51−5−1−5−1+51+51−500001+51+51−51−500004i−4i00000000−1−5−1+5000000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ3800000000000000000000000000
χ6644-44-4−1−5−1+500-4-4−1−5−1+500401+51−5−1−5−1+51+51−500001+51+51−51−50000−4i4i00000000−1−5−1+50000000000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ3800000000000000000000000000
χ6744-4-44−1+5−1−54400−1+5−1−5000-41−51+51−51+5−1+5−1−5−1+5−1+5−1−5−1−5000000000022−2222−220000001−51+500000000000000000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39000000000000000000
χ6844-4-44−1+5−1−54400−1+5−1−5000-41−51+51−51+5−1+5−1−5−1+5−1+5−1−5−1−50000000000−2222−22220000001−51+500000000000000000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39000000000000000000
χ6944-4-44−1+5−1−5-4-400−1+5−1−500041−51+51−51+5−1+5−1−51−51−51+51+5000000000022−22−2222000000−1+5−1−500000000000000000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39000000000000000000
χ7044-4-44−1+5−1−5-4-400−1+5−1−500041−51+51−51+5−1+5−1−51−51−51+51+50000000000−222222−22000000−1+5−1−500000000000000000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39000000000000000000
χ7144-4-44−1−5−1+54400−1−5−1+5000-41+51−51+51−5−1−5−1+5−1−5−1−5−1+5−1+5000000000022−2222−220000001+51−500000000000000000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37000000000000000000
χ7244-4-44−1−5−1+54400−1−5−1+5000-41+51−51+51−5−1−5−1+5−1−5−1−5−1+5−1+50000000000−2222−22220000001+51−500000000000000000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37000000000000000000
χ7344-4-44−1−5−1+5-4-400−1−5−1+500041+51−51+51−5−1−5−1+51+51+51−51−5000000000022−22−2222000000−1−5−1+500000000000000000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37000000000000000000
χ7444-4-44−1−5−1+5-4-400−1−5−1+500041+51−51+51−5−1−5−1+51+51+51−51−50000000000−222222−22000000−1−5−1+500000000000000000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37000000000000000000
χ754-40004422−2222−22-4-42-20000000022−2222−2222−2222−224i−4i000000002-22-200000002i2−2i22i2−2i20000000000000000002i−2i0000000000000000
χ764-40004422−2222−22-4-42-20000000022−2222−2222−2222−22−4i4i000000002-22-20000000−2i22i2−2i22i2000000000000000000−2i2i0000000000000000
χ774-40004422−22−2222-4-4-220000000022−2222−22−2222−22224i−4i00000000-22-220000000−2i22i22i2−2i2000000000000000000−2i2i0000000000000000
χ784-40004422−22−2222-4-4-220000000022−2222−22−2222−2222−4i4i00000000-22-2200000002i2−2i2−2i22i20000000000000000002i−2i0000000000000000
χ794-400044−222222−22-4-4-2200000000−2222−222222−2222−224i−4i00000000-22-2200000002i2−2i2−2i22i2000000000000000000−2i2i0000000000000000
χ804-400044−222222−22-4-4-2200000000−2222−222222−2222−22−4i4i00000000-22-220000000−2i22i22i2−2i20000000000000000002i−2i0000000000000000
χ814-400044−2222−2222-4-42-200000000−2222−2222−2222−22224i−4i000000002-22-20000000−2i22i2−2i22i20000000000000000002i−2i0000000000000000
χ824-400044−2222−2222-4-42-200000000−2222−2222−2222−2222−4i4i000000002-22-200000002i2−2i22i2−2i2000000000000000000−2i2i0000000000000000
χ83888-8-8−2+25−2−250000−2+25−2−250000−2+25−2−252−252+252−252+25000000000000000000000000000000000000000000000000000000000000000000000
χ84888-8-8−2−25−2+250000−2−25−2+250000−2−25−2+252+252−252+252−25000000000000000000000000000000000000000000000000000000000000000000000
χ858-8000−2+25−2−2542−4242−422−252+254-400000000−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ372ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ39−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ372ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ390000000000−1+51−5−1−51+500000000000000000000000000000000000000000000000
χ868-8000−2+25−2−2542−42−42422−252+25-4400000000−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ372ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ392ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ3900000000001−5−1+51+5−1−500000000000000000000000000000000000000000000000
χ878-8000−2+25−2−25−424242−422−252+25-44000000002ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ39−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ372ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ3900000000001−5−1+51+5−1−500000000000000000000000000000000000000000000000
χ888-8000−2+25−2−25−4242−42422−252+254-4000000002ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ392ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ390000000000−1+51−5−1−51+500000000000000000000000000000000000000000000000
χ898-8000−2−25−2+2542−4242−422+252−254-4000000002ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ39−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ372ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ39−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ370000000000−1−51+5−1+51−500000000000000000000000000000000000000000000000
χ908-8000−2−25−2+2542−42−42422+252−25-44000000002ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ39−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ37−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ392ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ3700000000001+5−1−51−5−1+500000000000000000000000000000000000000000000000
χ918-8000−2−25−2+25−424242−422+252−25-4400000000−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ392ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ372ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ39−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ3700000000001+5−1−51−5−1+500000000000000000000000000000000000000000000000
χ928-8000−2−25−2+25−4242−42422+252−254-400000000−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ392ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ392ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ370000000000−1−51+5−1+51−500000000000000000000000000000000000000000000000

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