Finite Group Databasebeta

← Group #12150304

Character table — Group #12150304

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size111122222222222222444444444444448888888888888888810101616161616161616161616161616161616161616161616161616202020202020202020404040404040408080
order1222224444551010101010108810101010202020202020202024448888840404040404040404448101020202020202020202020404040404040404040404040444888888244488848
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-111-1-111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1
χ41111111111111111111111111111111111-1-111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ511111111111111111111111111111111-1-111-1-1-1-1111111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111-11-1-11-1
χ611111111111111111111111111111111-1-111-1-1-1-1111111111-1-11-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-111-11
χ711111111111111111111111111111111-1-1-1-1-1-11111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1111-11
χ811111111111111111111111111111111-1-1-1-1-1-111111111111-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111111111-1-1-11-1
χ9111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-1-1-11111-1-1-1-11
χ10111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-1-11111-1
χ11111111111111111111-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1111-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-11-1-11-1111-1
χ12111111111111111111-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1111111-111-11-1-1-11
χ13111111111111111111-1-1111111111111-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111-1-11111-111-1-111-1-1
χ14111111111111111111-1-1111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-111-1-1-1-11-1-111-1-111
χ15111111111111111111-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111-1-11111-1-1-1-1-1-1-111
χ16111111111111111111-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-111-1-1-1-11111111-1-1
χ172222222222−1+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+52−1−52−1−52−1−52−1−52222222222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520022−1+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+52−1−52−1−52000000000000000000
χ182222222222−1+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+52−1−52−1−52−1−52−1−5222-2-222-2-22−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+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+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-222-2-2-2-22−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52002-21−521+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+52000000000000000000
χ202222222222−1+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+52−1−52−1−52−1−52−1−52-2-2-2-2-2-2222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200-221−521+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+52−1−52−1−52000000000000000000
χ212222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222-2-2-2-2-21−521−521−521−521+521+521+521+5200-22−1+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+52−1−52−1−521−521−521+521+52000000000000000000
χ222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222-2-2-2-222-21−521−521−521−521+521+521+521+52002-2−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+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+52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2222222-21−521−521−521−521+521+521+521+5200-2-21−521+521−521+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+52−1+52−1−52−1−52000000000000000000
χ242222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-222-2-2-21−521−521−521−521+521+521+521+5200221−521+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+52−1−52−1−521−521−521+521+52000000000000000000
χ252222222222−1−52−1+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+52222222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520022−1−52−1+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+52000000000000000000
χ262222222222−1−52−1+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+5222-2-222-2-22−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+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+5222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-222-2-2-2-22−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52002-21+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+521−521−52000000000000000000
χ282222222222−1−52−1+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+52-2-2-2-2-2-2222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200-221+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+52000000000000000000
χ292222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222-2-2-2-2-21+521+521+521+521−521−521−521−5200-22−1−52−1+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+521+521−521−52000000000000000000
χ302222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222-2-2-2-222-21+521+521+521+521−521−521−521−52002-2−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+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+52-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2222222-21+521+521+521+521−521−521−521−5200-2-21+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000
χ322222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-222-2-2-21+521+521+521+521−521−521−521−5200221+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+521+521+521−521−52000000000000000000
χ33222222-2-2-2-222222222002222-2-2-2-2-2-2-2-200002i−2i0000000000022000000000000002i−2i2i−2i000000002-2-2002i2i−2i−2i000000000
χ34222222-2-2-2-222222222002222-2-2-2-2-2-2-2-200002i−2i00000000000-2-2000000000000002i−2i2i−2i00000000-22200−2i−2i2i2i000000000
χ35222222-2-2-2-222222222002222-2-2-2-2-2-2-2-20000−2i2i000000000002200000000000000−2i2i−2i2i000000002-2-200−2i−2i2i2i000000000
χ36222222-2-2-2-222222222002222-2-2-2-2-2-2-2-20000−2i2i00000000000-2-200000000000000−2i2i−2i2i00000000-222002i2i−2i−2i000000000
χ372222-2-22-22-22222222200-2-2-2-222-2-222-2-22-2000000000000000220022-2-200000000000000000000-22-2000000200-200000
χ382222-2-22-22-22222222200-2-2-2-222-2-222-2-22-2000000000000000-2-20022-2-2000000000000000000002-22000000-200200000
χ392222-2-22-22-22222222200-2-2-2-222-2-222-2-2-220000000000000002200-2-22200000000000000000000-22-2000000-200200000
χ402222-2-22-22-22222222200-2-2-2-222-2-222-2-2-22000000000000000-2-200-2-222000000000000000000002-22000000200-200000
χ412222-2-2-22-222222222222-2-2-2-2-2-222-2-22200000000-222-2-222-2-22200000000000000000000000000-2-222200000000-20000
χ422222-2-2-22-222222222222-2-2-2-2-2-222-2-22200000000-222-2-222-2-2-2-20000000000000000000000000022-2-2-20000000020000
χ432222-2-2-22-2222222222-2-2-2-2-2-2-2-222-2-222000000002-2-222-2-2222200000000000000000000000000-2-22-2-20000000020000
χ442222-2-2-22-2222222222-2-2-2-2-2-2-2-222-2-222000000002-2-222-2-222-2-20000000000000000000000000022-22200000000-20000
χ452-2-222-222-2-222-2-2-2-222002-22-22-22-22-22-20000002-20000000000000000000000000000000002-22-2000002i−2i2i−2i02i−2i000000
χ462-2-222-222-2-222-2-2-2-222002-22-22-22-22-22-20000002-20000000000000000000000000000000002-22-200000−2i2i−2i2i0−2i2i000000
χ472-2-222-222-2-222-2-2-2-222002-22-22-22-22-22-2000000-22000000000000000000000000000000000-22-22000002i−2i2i−2i0−2i2i000000
χ482-2-222-222-2-222-2-2-2-222002-22-22-22-22-22-2000000-22000000000000000000000000000000000-22-2200000−2i2i−2i2i02i−2i000000
χ492-2-222-2-2-22222-2-2-2-222002-22-2-22-22-22-22002-20000000000000000000002-22-20000000000000000000002-2-22000002-200
χ502-2-222-2-2-22222-2-2-2-222002-22-2-22-22-22-22002-20000000000000000000002-22-2000000000000000000000-222-200000-2200
χ512-2-222-2-2-22222-2-2-2-222002-22-2-22-22-22-2200-22000000000000000000000-22-220000000000000000000002-2-2200000-2200
χ522-2-222-2-2-22222-2-2-2-222002-22-2-22-22-22-2200-22000000000000000000000-22-22000000000000000000000-222-2000002-200
χ53444444-4-4-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−500−1+5−1+5−1−5−1−51−51−51−51−51+51+51+51+500004i−4i000000000000000000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ1400000000000000000000000000
χ54444444-4-4-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−500−1+5−1+5−1−5−1−51−51−51−51−51+51+51+51+50000−4i4i0000000000000000000000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ1400000000000000000000000000
χ55444444-4-4-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+500−1−5−1−5−1+5−1+51+51+51+51+51−51−51−51−500004i−4i000000000000000000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ3800000000000000000000000000
χ56444444-4-4-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+500−1−5−1−5−1+5−1+51+51+51+51+51−51−51−51−50000−4i4i0000000000000000000000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ3800000000000000000000000000
χ574444-4-44-44-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5001−51−51+51+5−1+5−1+51−51−5−1−5−1−51+51+54-40000000000000000000−1+5−1−51−51+500000000000000000000000000000000000000
χ584444-4-44-44-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5001−51−51+51+5−1+5−1+51−51−5−1−5−1−51+51+5-4400000000000000000001−51+5−1+5−1−500000000000000000000000000000000000000
χ594444-4-44-44-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5001+51+51−51−5−1−5−1−51+51+5−1+5−1+51−51−54-40000000000000000000−1−5−1+51+51−500000000000000000000000000000000000000
χ604444-4-44-44-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5001+51+51−51−5−1−5−1−51+51+5−1+5−1+51−51−5-4400000000000000000001+51−5−1−5−1+500000000000000000000000000000000000000
χ614444-4-4-44-44−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5441−51−51+51+51−51−5−1+5−1+51+51+5−1−5−1−500000000-4−1+5−1+51−51−5−1−5−1−51+51+50000000000000000000000000000000000000000000000
χ624444-4-4-44-44−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5-4-41−51−51+51+51−51−5−1+5−1+51+51+5−1−5−1−50000000041−51−5−1+5−1+51+51+5−1−5−1−50000000000000000000000000000000000000000000000
χ634444-4-4-44-44−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5441+51+51−51−51+51+5−1−5−1−51−51−5−1+5−1+500000000-4−1−5−1−51+51+5−1+5−1+51−51−50000000000000000000000000000000000000000000000
χ644444-4-4-44-44−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5-4-41+51+51−51−51+51+5−1−5−1−51−51−5−1+5−1+50000000041+51+5−1−5−1−51−51−5−1+5−1+50000000000000000000000000000000000000000000000
χ6544-4-4000000444-44-4-4-422−2200000000000000000000022−220022−22004-40000000000000000000000000000022−220000000000000
χ6644-4-4000000444-44-4-4-422−2200000000000000000000022−220022−2200-4400000000000000000000000000000−22220000000000000
χ6744-4-4000000444-44-4-4-4−2222000000000000000000000−222200−2222004-400000000000000000000000000000−22220000000000000
χ6844-4-4000000444-44-4-4-4−2222000000000000000000000−222200−222200-440000000000000000000000000000022−220000000000000
χ694-4-444-444-4-4−1+5−1−51−51−51+51+5−1+5−1−500−1+51−5−1−51+5−1+51−5−1+51−5−1−51+5−1−51+50000004-4000000000000000000000000000000000−1+51−5−1−51+5000000000000000000
χ704-4-444-444-4-4−1+5−1−51−51−51+51+5−1+5−1−500−1+51−5−1−51+5−1+51−5−1+51−5−1−51+5−1−51+5000000-440000000000000000000000000000000001−5−1+51+5−1−5000000000000000000
χ714-4-444-444-4-4−1−5−1+51+51+51−51−5−1−5−1+500−1−51+5−1+51−5−1−51+5−1−51+5−1+51−5−1+51−50000004-4000000000000000000000000000000000−1−51+5−1+51−5000000000000000000
χ724-4-444-444-4-4−1−5−1+51+51+51−51−5−1−5−1+500−1−51+5−1+51−5−1−51+5−1−51+5−1+51−5−1+51−5000000-440000000000000000000000000000000001+5−1−51−5−1+5000000000000000000
χ734-4-444-4-4-444−1+5−1−51−51−51+51+5−1+5−1−500−1+51−5−1−51+51−5−1+51−5−1+51+5−1−51+5−1−5004-4000000000000000000000−1+51−5−1−51+50000000000000000000000000000000000
χ744-4-444-4-4-444−1+5−1−51−51−51+51+5−1+5−1−500−1+51−5−1−51+51−5−1+51−5−1+51+5−1−51+5−1−500-440000000000000000000001−5−1+51+5−1−50000000000000000000000000000000000
χ754-4-444-4-4-444−1−5−1+51+51+51−51−5−1−5−1+500−1−51+5−1+51−51+5−1−51+5−1−51−5−1+51−5−1+5004-4000000000000000000000−1−51+5−1+51−50000000000000000000000000000000000
χ764-4-444-4-4-444−1−5−1+51+51+51−51−5−1−5−1+500−1−51+5−1+51−51+5−1−51+5−1−51−5−1+51−5−1+500-440000000000000000000001+5−1−51−5−1+50000000000000000000000000000000000
χ774-4-44-444-4-4444-4-4-4-44400-44-444-4-444-4-44000000000000000000000000000000000000000000000000000000000000000
χ784-4-44-444-4-44−1+5−1−51−51−51+51+5−1+5−1−5001−5−1+51+5−1−5−1+51−51−5−1+5−1−51+51+5−1−5000000000000000000000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36000000000000000000000000000000
χ794-4-44-444-4-44−1+5−1−51−51−51+51+5−1+5−1−5001−5−1+51+5−1−5−1+51−51−5−1+5−1−51+51+5−1−500000000000000000000000000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36000000000000000000000000000000
χ804-4-44-444-4-44−1−5−1+51+51+51−51−5−1−5−1+5001+5−1−51−5−1+5−1−51+51+5−1−5−1+51−51−5−1+500000000000000000000000000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28000000000000000000000000000000
χ814-4-44-444-4-44−1−5−1+51+51+51−51−5−1−5−1+5001+5−1−51−5−1+5−1−51+51+5−1−5−1+51−51−5−1+5000000000000000000000000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28000000000000000000000000000000
χ824-4-44-44-444-444-4-4-4-44400-44-44-444-4-444-4000000000000000000000000000000000000000000000000000000000000000
χ834-4-44-44-444-4−1+5−1−51−51−51+51+5−1+5−1−5001−5−1+51+5−1−51−5−1+5−1+51−51+5−1−5−1−51+500000000000000000000000000000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ360000000000000000000000
χ844-4-44-44-444-4−1+5−1−51−51−51+51+5−1+5−1−5001−5−1+51+5−1−51−5−1+5−1+51−51+5−1−5−1−51+50000000000000000000000000000000000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ360000000000000000000000
χ854-4-44-44-444-4−1−5−1+51+51+51−51−5−1−5−1+5001+5−1−51−5−1+51+5−1−5−1−51+51−5−1+5−1+51−50000000000000000000000000000000000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ280000000000000000000000
χ864-4-44-44-444-4−1−5−1+51+51+51−51−5−1−5−1+5001+5−1−51−5−1+51+5−1−5−1−51+51−5−1+5−1+51−500000000000000000000000000000000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ280000000000000000000000
χ8788-8-8000000−2+25−2−25−2+252−25−2−252+252−252+2542−42000000000000000000000−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ37002ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ39000000000000000000000000000000000000000000000000
χ8888-8-8000000−2+25−2−25−2+252−25−2−252+252−252+25−42420000000000000000000002ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ3700−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ39000000000000000000000000000000000000000000000000
χ8988-8-8000000−2−25−2+25−2−252+25−2+252−252+252−2542−420000000000000000000002ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ3900−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ37000000000000000000000000000000000000000000000000
χ9088-8-8000000−2−25−2+25−2−252+25−2+252−252+252−25−4242000000000000000000000−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ39002ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37000000000000000000000000000000000000000000000000
χ918-88-800000088-88-88-8-800000000000000000000000000000000000000000000000000000000000000000000000000000
χ928-88-8000000−2+25−2−252−25−2+252+25−2−252−252+250000000000000000000000000−2ζ7−2ζ13+2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ3700−2ζ21+2ζ29+2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ390000000000000000000000000000000000000000000000
χ938-88-8000000−2+25−2−252−25−2+252+25−2−252−252+2500000000000000000000000002ζ7+2ζ13−2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ37002ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ390000000000000000000000000000000000000000000000
χ948-88-8000000−2−25−2+252+25−2−252−25−2+252+252−250000000000000000000000000−2ζ21+2ζ29+2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ39002ζ7+2ζ13−2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ370000000000000000000000000000000000000000000000
χ958-88-8000000−2−25−2+252+25−2−252−25−2+252+252−2500000000000000000000000002ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ3900−2ζ7−2ζ13+2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ370000000000000000000000000000000000000000000000

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