Finite Group Databasebeta

← Group #12253699

Character table — Group #12253699

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size1122222222244444444444444444888888888888888881010101016161616161616161616161616161616161620202020323232324040404040404040408080
order122445588101088810102020202040404040404040402448816161616202020204040404022442210102020404040408080808080808080888810101010244881616161624
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1111111111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111-1-11-1-11111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11-1-11111-1-1
χ61111111111111111111111111111-1-11-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-111-1-1-1-111
χ71111111111111111111111111111-1-11-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1-1-1-1-1-111
χ81111111111111111111111111111-1-11-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1111111-1-1
χ9111111111111-1-1111111-1-1-1-1111111-1-1-111-1-1-1-1-1-111-1-111111-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-111-1-11-1
χ10111111111111-1-1111111-1-1-1-1111111-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111-1-111-11
χ11111111111111-1-1111111-1-1-1-1111111-1-1-1-1-111-1-1-1-111-1-11111-111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-111-11
χ12111111111111-1-1111111-1-1-1-1111111-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111111-1-11-1
χ13111111111111-1-1111111-1-1-1-11111-1-1-11111-1-1-1-1-1-111-1-11111-11-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-11111-1-1-11
χ14111111111111-1-1111111-1-1-1-11111-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-111-1-111111-1-1-1-1111-1
χ15111111111111-1-1111111-1-1-1-11111-1-1-111-1-111-1-1-1-111-1-111111-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-111-1-1111-1
χ16111111111111-1-1111111-1-1-1-11111-1-1-111-1-111-1-1-1-111-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-11111-1-11111-1-1111-1-111-1-1-11
χ172222222-2-222-2222222222222-2-2-2-200-2000000-2-2-2-2-2-2222222000000000000000000-2-222000000-200000000
χ182222222-2-222-2222222222222-2-2-2-200-2000000-2-2-2-2-2-222-2-2-2-200000000000000000022-2-2000000200000000
χ192222222-2-222-2-2-2222222-2-2-2-2-2-2-2-20020000002222-2-2-2-22222000000000000000000-2-2-2-2000000200000000
χ202222222-2-222-2-2-2222222-2-2-2-2-2-2-2-20020000002222-2-2-2-2-2-2-2-20000000000000000002222000000-200000000
χ2122222−1+52−1−5222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222222222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52000022−1+52−1−52−1+52−1−52−1+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+52−1−5200000000000
χ2222222−1+52−1−5222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−520000-2-2−1+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+5200000000000
χ2322222−1+52−1−5222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-22-2-22222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−520000-2-21−521+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+5200000000000
χ2422222−1+52−1−5222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-22-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−520000221−521+521−521+521−521−521+521+521−521−521+521+521−521−521+521+520000−1+52−1−52−1+52−1−5200000000000
χ2522222−1+52−1−5222−1+52−1−522-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5222-2-2-222-2-21−521−521+521+52−1+52−1−521−521+5200002-2−1+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+5200000000000
χ2622222−1+52−1−5222−1+52−1−522-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5222-2-2-2-2-2221−521−521+521+52−1+52−1−521−521+520000-22−1+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+52−1−5200000000000
χ2722222−1+52−1−5222−1+52−1−522-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52-2-2-22222-2-21−521−521+521+52−1+52−1−521−521+520000-221−521+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+52−1−5200000000000
χ2822222−1+52−1−5222−1+52−1−522-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52-2-2-222-2-2221−521−521+521+52−1+52−1−521−521+5200002-21−521+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+5200000000000
χ2922222−1−52−1+5222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52000022−1−52−1+52−1−52−1+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+5200000000000
χ3022222−1−52−1+5222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+520000-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200001+521−521+521−5200000000000
χ3122222−1−52−1+5222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-22-2-22222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+520000-2-21+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+521−5200000000000
χ3222222−1−52−1+5222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-22-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+520000221+521−521+521−521+521+521−521−521+521+521−521−521+521+521−521−520000−1−52−1+52−1−52−1+5200000000000
χ3322222−1−52−1+5222−1−52−1+522-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5222-2-2-222-2-21+521+521−521−52−1−52−1+521+521−5200002-2−1−52−1+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+521−5200000000000
χ3422222−1−52−1+5222−1−52−1+522-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5222-2-2-2-2-2221+521+521−521−52−1−52−1+521+521−520000-22−1−52−1+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+5200000000000
χ3522222−1−52−1+5222−1−52−1+522-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52-2-2-22222-2-21+521+521−521−52−1−52−1+521+521−520000-221+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+5200000000000
χ3622222−1−52−1+5222−1−52−1+522-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52-2-2-222-2-2221+521+521−521−52−1−52−1+521+521−5200002-21+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+521−5200000000000
χ3722-22-2222222-200-2-222-2-2000022222-200000000000-2-2002-22-20022-2-20000000000002-20000002-2000000000
χ3822-22-2222222-200-2-222-2-2000022222-200000000000-2-200-22-220022-2-2000000000000-22000000-22000000000
χ3922-22-2222222-200-2-222-2-200002222-2200000000000-2-2002-22-200-2-2220000000000002-2000000-22000000000
χ4022-22-2222222-200-2-222-2-200002222-2200000000000-2-200-22-2200-2-222000000000000-220000002-2000000000
χ4122-22-222-2-222200-2-222-2-20000-2-2-2-20002i−2i0000000022002-22-20000002i−2i2i−2i00000000-220000000002i−2i000000
χ4222-22-222-2-222200-2-222-2-20000-2-2-2-20002i−2i000000002200-22-220000002i−2i2i−2i000000002-2000000000−2i2i000000
χ4322-22-222-2-222200-2-222-2-20000-2-2-2-2000−2i2i0000000022002-22-2000000−2i2i−2i2i00000000-22000000000−2i2i000000
χ4422-22-222-2-222200-2-222-2-20000-2-2-2-2000−2i2i000000002200-22-22000000−2i2i−2i2i000000002-20000000002i−2i000000
χ4522-2-2222002202-2-2-2-2-22222220000000002−22−2000000-2-22-2-2200000000002−22−22−22−2002-20000000002−22−200
χ4622-2-2222002202-2-2-2-2-22222220000000002−22−2000000-2-2-222-200000000002−22−22−22−200-22000000000−22−2200
χ4722-2-2222002202-2-2-2-2-2222222000000000−22−22000000-2-22-2-220000000000−22−22−22−22002-2000000000−22−2200
χ4822-2-2222002202-2-2-2-2-2222222000000000−22−22000000-2-2-222-20000000000−22−22−22−2200-220000000002−22−200
χ4922-2-222200220-22-2-2-2-222-2-2-2-20000000002−2−22000000222-2-2200000000002−22−2−22−2200-220000000002−2−2200
χ5022-2-222200220-22-2-2-2-222-2-2-2-20000000002−2−2200000022-222-200000000002−22−2−22−22002-2000000000−222−200
χ5122-2-222200220-22-2-2-2-222-2-2-2-2000000000−222−2000000222-2-220000000000−22−222−22−200-22000000000−222−200
χ5222-2-222200220-22-2-2-2-222-2-2-2-2000000000−222−200000022-222-20000000000−22−222−22−2002-20000000002−2−2200
χ5344444−1+5−1−5-4-4−1+5−1−5-444−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−51−51−51+51+500-40000001−51−51+51+51−51+5−1+5−1−500000000000000000000000000000000000000000
χ5444444−1+5−1−5-4-4−1+5−1−5-4-4-4−1+5−1−5−1+5−1−5−1+5−1−51−51−51+51+51−51−51+51+5004000000−1+5−1+5−1−5−1−51−51+51−51+500000000000000000000000000000000000000000
χ5544444−1−5−1+5-4-4−1−5−1+5-444−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+51+51+51−51−500-40000001+51+51−51−51+51−5−1−5−1+500000000000000000000000000000000000000000
χ5644444−1−5−1+5-4-4−1−5−1+5-4-4-4−1−5−1+5−1−5−1+5−1−5−1+51+51+51−51−51+51+51−51−5004000000−1−5−1−5−1+5−1+51+51−51+51−500000000000000000000000000000000000000000
χ57444-4-444004400044-4-4-4-4000000000000000000000000044-4-40000000000000000000000000000000000000
χ58444-4-444004400044-4-4-4-40000000000000000000000000-4-4440000000000000000000000000000000000000
χ5944-44-4−1+5−1−544−1+5−1−5-4001−51+5−1+5−1−51−51+50000−1+5−1+5−1−5−1−54-4000000000001−51+500000000−1+5−1−51−51+50000000000000000000000000000000
χ6044-44-4−1+5−1−544−1+5−1−5-4001−51+5−1+5−1−51−51+50000−1+5−1+5−1−5−1−5-44000000000001−51+5000000001−51+5−1+5−1−50000000000000000000000000000000
χ6144-44-4−1+5−1−5-4-4−1+5−1−54001−51+5−1+5−1−51−51+500001−51−51+51+50004i−4i00000000−1+5−1−5000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14000000000000000000000000000
χ6244-44-4−1+5−1−5-4-4−1+5−1−54001−51+5−1+5−1−51−51+500001−51−51+51+5000−4i4i00000000−1+5−1−50000000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14000000000000000000000000000
χ6344-44-4−1−5−1+544−1−5−1+5-4001+51−5−1−5−1+51+51−50000−1−5−1−5−1+5−1+54-4000000000001+51−500000000−1−5−1+51+51−50000000000000000000000000000000
χ6444-44-4−1−5−1+544−1−5−1+5-4001+51−5−1−5−1+51+51−50000−1−5−1−5−1+5−1+5-44000000000001+51−5000000001+51−5−1−5−1+50000000000000000000000000000000
χ6544-44-4−1−5−1+5-4-4−1−5−1+54001+51−5−1−5−1+51+51−500001+51+51−51−50004i−4i00000000−1−5−1+5000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38000000000000000000000000000
χ6644-44-4−1−5−1+5-4-4−1−5−1+54001+51−5−1−5−1+51+51−500001+51+51−51−5000−4i4i00000000−1−5−1+50000000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38000000000000000000000000000
χ6744-4-44−1+5−1−500−1+5−1−504-41−51+51−51+5−1+5−1−5−1+5−1+5−1−5−1−500000000022−2222−220000001−51+500000000000000−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+ζ390000000000000000000
χ6844-4-44−1+5−1−500−1+5−1−504-41−51+51−51+5−1+5−1−5−1+5−1+5−1−5−1−5000000000−2222−22220000001−51+500000000000000ζ7−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−ζ390000000000000000000
χ6944-4-44−1+5−1−500−1+5−1−50-441−51+51−51+5−1+5−1−51−51−51+51+500000000022−22−2222000000−1+5−1−500000000000000−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−ζ390000000000000000000
χ7044-4-44−1+5−1−500−1+5−1−50-441−51+51−51+5−1+5−1−51−51−51+51+5000000000−222222−22000000−1+5−1−500000000000000ζ7−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+ζ390000000000000000000
χ7144-4-44−1−5−1+500−1−5−1+504-41+51−51+51−5−1−5−1+5−1−5−1−5−1+5−1+500000000022−2222−220000001+51−500000000000000ζ21+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−ζ370000000000000000000
χ7244-4-44−1−5−1+500−1−5−1+504-41+51−51+51−5−1−5−1+5−1−5−1−5−1+5−1+5000000000−2222−22220000001+51−500000000000000−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+ζ370000000000000000000
χ7344-4-44−1−5−1+500−1−5−1+50-441+51−51+51−5−1−5−1+51+51+51−51−500000000022−22−2222000000−1−5−1+500000000000000ζ21+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+ζ370000000000000000000
χ7444-4-44−1−5−1+500−1−5−1+50-441+51−51+51−5−1−5−1+51+51+51−51−5000000000−222222−22000000−1−5−1+500000000000000−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−ζ370000000000000000000
χ75888-8-8−2+25−2−2500−2+25−2−25000−2+25−2−252−252+252−252+25000000000000000000000000000000000000000000000000000000000000000000
χ76888-8-8−2−25−2+2500−2−25−2+25000−2−25−2+252+252−252+252−25000000000000000000000000000000000000000000000000000000000000000000
χ778-80008842−42-8-8000000000000042−4242−420000000000000000000000000000000000000000000000000000000000
χ788-800088−4242-8-80000000000000−4242−42420000000000000000000000000000000000000000000000000000000000
χ798-8000−2+25−2−2542−422−252+25000000000−2ζ7−2ζ13+2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ37−2ζ21+2ζ29+2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ39−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ372ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ390000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36000000000000000000000000000000000000000000000
χ808-8000−2+25−2−2542−422−252+250000000002ζ7+2ζ13−2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ372ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ39−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ372ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ39000000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36000000000000000000000000000000000000000000000
χ818-8000−2+25−2−25−42422−252+25000000000−2ζ7−2ζ13+2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ37−2ζ21+2ζ29+2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ392ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ39000000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36000000000000000000000000000000000000000000000
χ828-8000−2+25−2−25−42422−252+250000000002ζ7+2ζ13−2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ372ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ392ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ390000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36000000000000000000000000000000000000000000000
χ838-8000−2−25−2+2542−422+252−25000000000−2ζ21+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+2ζ23−2ζ370000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28000000000000000000000000000000000000000000000
χ848-8000−2−25−2+2542−422+252−250000000002ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ39−2ζ7−2ζ13+2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ372ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ39−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ37000000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28000000000000000000000000000000000000000000000
χ858-8000−2−25−2+25−42422+252−25000000000−2ζ21+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+2ζ37000000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28000000000000000000000000000000000000000000000
χ868-8000−2−25−2+25−42422+252−250000000002ζ21−2ζ29−2ζ31+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+2ζ370000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28000000000000000000000000000000000000000000000

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