Finite Group Databasebeta

← Group #12131441

Character table — Group #12131441

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size11112222222222222244444444444488888888888888888888101016161616161616161616161616161616161616161616161616202020202020204040404040404040404080
order1222224444551010101010101010101020202020202020204444444444882020202020202020448202020202020202020202020202020204040404040404040224444422244444888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1111-1-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111111
χ51111111111111111111111111111111-11-1-1-111-1-111-1-1-1-1-1-1-1-111-111-1-1111111-1-1-1-1-1-11111-1-1-1-11111111-111-1-1-1-1-111-1
χ61111111111111111111111111111111-11-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-11
χ71111111111111111111111111111111-11-1-1-1-1-111-1-11111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-111-1-11
χ81111111111111111111111111111111-11-1-1-1-1-111-1-111111111-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1111111-1-111-1
χ9111111111111111111111111111111-11-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111111-1-1-1-1-1-11
χ10111111111111111111111111111111-11-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1111111-1
χ11111111111111111111111111111111-11-11-1-1-1-111111111111111-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111-1-11-1-11111-1
χ12111111111111111111111111111111-11-11-1-1-1-1111111111111-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-111-111-1-1-1-11
χ13111111111111111111111111111111-1-1-1-1111111-1-11111111111-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11-111-11111-1-1-1
χ14111111111111111111111111111111-1-1-1-1111111-1-111111111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-11-1-1-1-1111
χ15111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11-1-1-1-111-1-1111
χ16111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-11111-1-111-1-1-1
χ172222222222−1+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+52−1−52−1−52222222222222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52002−1+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+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222222-2-2-2-2-2-21−521−521−521−521+521+521+521+5200-2−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000000000000000000
χ192222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-22-2-2-222-2-2221−521−521−521−521+521+521+521+5200-2−1+52−1−521−521+52−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000
χ202222222222−1+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+52−1−52−1−522-22-2-2-2-2-222-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52002−1+52−1−521−521+521−521−521+521+52−1+52−1−521−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000
χ212222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-22-22-2-222-2-2-2-21−521−521−521−521+521+521+521+520021−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521+52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000
χ222222222222−1+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+52−1−52−1−52-22-22-2-2-2-22222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200-21−521+52−1+52−1−521−521−521+521+521−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000
χ232222222222−1+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+52−1−52−1−52-2-2-2-2222222-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200-21−521+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+521−521−521+521+52000000000000000000
χ242222222222−1+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+52−1−52−1−52-2-2-2-222-2-2-2-2221−521−521−521−521+521+521+521+520021−521+521−521+521−521−521+521+521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000
χ252222222222−1−52−1+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+52222222222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52002−1−52−1+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+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222222-2-2-2-2-2-21+521+521+521+521−521−521−521−5200-2−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+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+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-22-2-2-222-2-2221+521+521+521+521−521−521−521−5200-2−1−52−1+521+521−52−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000
χ282222222222−1−52−1+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+522-22-2-2-2-2-222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52002−1−52−1+521+521−521+521+521−521−52−1−52−1+521+521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000
χ292222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-22-22-2-222-2-2-2-21+521+521+521+521−521−521−521−520021+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521−52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000
χ302222222222−1−52−1+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+52-22-22-2-2-2-22222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200-21+521−52−1−52−1+521+521+521−521−521+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000
χ312222222222−1−52−1+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+52-2-2-2-2222222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200-21+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+521−521−521+521+521−521−52000000000000000000
χ322222222222−1−52−1+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+52-2-2-2-222-2-2-2-2221+521+521+521+521−521−521−521−520021+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+52−1−52−1−52−1+52−1+52000000000000000000
χ33222222-2-2-2-2222222222222-2-2-2-2-2-2-2-200002-2000000000000002200000000000002-22-200000000-2-20000200002-200000
χ34222222-2-2-2-2222222222222-2-2-2-2-2-2-2-200002-200000000000000-2-200000000000002-22-200000000220000-20000-2200000
χ35222222-2-2-2-2222222222222-2-2-2-2-2-2-2-20000-2200000000000000220000000000000-22-2200000000-2-2000020000-2200000
χ36222222-2-2-2-2222222222222-2-2-2-2-2-2-2-20000-2200000000000000-2-20000000000000-22-2200000000220000-200002-200000
χ372222-2-22-2-2222222222-2-2-2-22-22-22-22-220-20000000000000000022022000000-2-2000000000000002-2-2-222-200000000000
χ382222-2-22-2-2222222222-2-2-2-22-22-22-22-220-200000000000000000-2-2022000000-2-200000000000000-2222-2-2200000000000
χ392222-2-22-2-2222222222-2-2-2-22-22-22-22-2-20200000000000000000220-2-200000022000000000000002-222-2-2-200000000000
χ402222-2-22-2-2222222222-2-2-2-22-22-22-22-2-20200000000000000000-2-20-2-20000002200000000000000-22-2-222200000000000
χ412222-2-2-222-222222222-2-2-2-2-22-22-22-22020-200000000000000002200022000000-2-2000000000000-220000-2200-20000000
χ422222-2-2-222-222222222-2-2-2-2-22-22-22-22020-20000000000000000-2-200022000000-2-20000000000002-200002-20020000000
χ432222-2-2-222-222222222-2-2-2-2-22-22-22-220-202000000000000000022000-2-200000022000000000000-220000-2-20020000000
χ442222-2-2-222-222222222-2-2-2-2-22-22-22-220-2020000000000000000-2-2000-2-2000000220000000000002-200002200-20000000
χ452-2-222-222-2-222-2-222-2-2-2-2222-22-2-22-2200000000002i−2i0000000000000000000000000002i−2i2i−2i0000002i−2i2i−2i002-200000000
χ462-2-222-222-2-222-2-222-2-2-2-2222-22-2-22-2200000000002i−2i0000000000000000000000000002i−2i2i−2i000000−2i2i−2i2i00-2200000000
χ472-2-222-222-2-222-2-222-2-2-2-2222-22-2-22-220000000000−2i2i000000000000000000000000000−2i2i−2i2i0000002i−2i2i−2i00-2200000000
χ482-2-222-222-2-222-2-222-2-2-2-2222-22-2-22-220000000000−2i2i000000000000000000000000000−2i2i−2i2i000000−2i2i−2i2i002-200000000
χ492-2-22-222-22-222-2-222-2-222-2-22222-2-2-2-20000002-200000000000000000002-22-20000000000000000002i−2i−2i2i0000000002i−2i0
χ502-2-22-222-22-222-2-222-2-222-2-22222-2-2-2-20000002-200000000000000000002-22-2000000000000000000−2i2i2i−2i000000000−2i2i0
χ512-2-22-222-22-222-2-222-2-222-2-22222-2-2-2-2000000-220000000000000000000-22-220000000000000000002i−2i−2i2i000000000−2i2i0
χ522-2-22-222-22-222-2-222-2-222-2-22222-2-2-2-2000000-220000000000000000000-22-22000000000000000000−2i2i2i−2i0000000002i−2i0
χ53444444-4-4-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−51−51−51+51+51−51−51+51+500004-400000000000000000000000000000−1+51−5−1−51+500000000000000000000000000
χ54444444-4-4-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−51−51−51+51+51−51−51+51+50000-44000000000000000000000000000001−5−1+51+5−1−500000000000000000000000000
χ55444444-4-4-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+51+51+51−51−51+51+51−51−500004-400000000000000000000000000000−1−51+5−1+51−500000000000000000000000000
χ56444444-4-4-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+51+51+51−51−51+51+51−51−50000-44000000000000000000000000000001+5−1−51−5−1+500000000000000000000000000
χ574444-4-44-4-44−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−51−51+51−51+5−1+51−5−1−51+5−1+51−5−1−51+540-400000000000000000000−1+5−1−50000001−51+500000000000000000000000000000000
χ584444-4-44-4-44−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−51−51+51−51+5−1+51−5−1−51+5−1+51−5−1−51+5-404000000000000000000001−51+5000000−1+5−1−500000000000000000000000000000000
χ594444-4-44-4-44−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+51+51−51+51−5−1−51+5−1+51−5−1−51+5−1+51−540-400000000000000000000−1−5−1+50000001+51−500000000000000000000000000000000
χ604444-4-44-4-44−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+51+51−51+51−5−1−51+5−1+51−5−1−51+5−1+51−5-404000000000000000000001+51−5000000−1−5−1+500000000000000000000000000000000
χ614444-4-4-444-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−51−51+51−51+51−5−1+51+5−1−51−5−1+51+5−1−5040-4000000000000000000000−1+5−1−50000001−51+5000000000000000000000000000000
χ624444-4-4-444-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−51−51+51−51+51−5−1+51+5−1−51−5−1+51+5−1−50-4040000000000000000000001−51+5000000−1+5−1−5000000000000000000000000000000
χ634444-4-4-444-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+51+51−51+51−51+5−1−51−5−1+51+5−1−51−5−1+5040-4000000000000000000000−1−5−1+50000001+51−5000000000000000000000000000000
χ644444-4-4-444-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+51+51−51+51−51+5−1−51−5−1+51+5−1−51−5−1+50-4040000000000000000000001+51−5000000−1−5−1+5000000000000000000000000000000
χ654-44-400000044-4-4-4-444000000000000000000002i−2i002i2i−2i−2i2i2i−2i−2i4i−4i000000000000000000000000000000000000002-2000
χ664-44-400000044-4-4-4-444000000000000000000002i−2i002i2i−2i−2i2i2i−2i−2i−4i4i00000000000000000000000000000000000000-22000
χ674-44-400000044-4-4-4-44400000000000000000000−2i2i00−2i−2i2i2i−2i−2i2i2i4i−4i00000000000000000000000000000000000000-22000
χ684-44-400000044-4-4-4-44400000000000000000000−2i2i00−2i−2i2i2i−2i−2i2i2i−4i4i000000000000000000000000000000000000002-2000
χ694-4-444-444-4-4−1+5−1−51−51+5−1+5−1−51−51+51−51+5−1+5−1−5−1+51−5−1−51+51−5−1+51+5−1−500000000004i−4i000000000000000000000000000−2ζ11−2ζ192ζ11+2ζ19−2ζ3−2ζ72ζ3+2ζ70000000000000000000000
χ704-4-444-444-4-4−1+5−1−51−51+5−1+5−1−51−51+51−51+5−1+5−1−5−1+51−5−1−51+51−5−1+51+5−1−50000000000−4i4i0000000000000000000000000002ζ11+2ζ19−2ζ11−2ζ192ζ3+2ζ7−2ζ3−2ζ70000000000000000000000
χ714-4-444-444-4-4−1−5−1+51+51−5−1−5−1+51+51−51+51−5−1−5−1+5−1−51+5−1+51−51+5−1−51−5−1+500000000004i−4i000000000000000000000000000−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ190000000000000000000000
χ724-4-444-444-4-4−1−5−1+51+51−5−1−5−1+51+51−51+51−5−1−5−1+5−1−51+5−1+51−51+5−1−51−5−1+50000000000−4i4i0000000000000000000000000002ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ190000000000000000000000
χ734-4-444-4-4-44444-4-444-4-4-4-444-44-444-44-400000000000000000000000000000000000000000000000000000000000000000
χ744-4-444-4-4-444−1+5−1−51−51+5−1+5−1−51−51+51−51+5−1+5−1−51−5−1+51+5−1−5−1+51−5−1−51+50000000000000000000000000000000000000000000−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ7000000000000000000
χ754-4-444-4-4-444−1+5−1−51−51+5−1+5−1−51−51+51−51+5−1+5−1−51−5−1+51+5−1−5−1+51−5−1−51+500000000000000000000000000000000000000000002ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ7000000000000000000
χ764-4-444-4-4-444−1−5−1+51+51−5−1−5−1+51+51−51+51−5−1−5−1+51+5−1−51−5−1+5−1−51+5−1+51−500000000000000000000000000000000000000000002ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ19000000000000000000
χ774-4-444-4-4-444−1−5−1+51+51−5−1−5−1+51+51−51+51−5−1−5−1+51+5−1−51−5−1+5−1−51+5−1+51−50000000000000000000000000000000000000000000−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ19000000000000000000
χ784-4-44-444-44-4−1+5−1−51−51+5−1+5−1−51−51+5−1+5−1−51−51+5−1+5−1+5−1−5−1−51−51−51+51+50000004-40000000000000000000−1+51−5−1−51+50000000000000000000000000000000000
χ794-4-44-444-44-4−1+5−1−51−51+5−1+5−1−51−51+5−1+5−1−51−51+5−1+5−1+5−1−5−1−51−51−51+51+5000000-4400000000000000000001−5−1+51+5−1−50000000000000000000000000000000000
χ804-4-44-444-44-4−1−5−1+51+51−5−1−5−1+51+51−5−1−5−1+51+51−5−1−5−1−5−1+5−1+51+51+51−51−50000004-40000000000000000000−1−51+5−1+51−50000000000000000000000000000000000
χ814-4-44-444-44-4−1−5−1+51+51−5−1−5−1+51+51−5−1−5−1+51+51−5−1−5−1−5−1+5−1+51+51+51−51−5000000-4400000000000000000001+5−1−51−5−1+50000000000000000000000000000000000
χ824-4-44-44-44-4444-4-444-4-444-4-4-4-4-4-4444400000000000000000000000000000000000000000000000000000000000000000
χ834-4-44-44-44-44−1+5−1−51−51+5−1+5−1−51−51+5−1+5−1−51−51+51−51−51+51+5−1+5−1+5−1−5−1−5000000000000−2ζ11+2ζ192ζ11−2ζ19−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ72ζ3−2ζ7−2ζ3+2ζ7000000000000000000000000000000000000000000000
χ844-4-44-44-44-44−1+5−1−51−51+5−1+5−1−51−51+5−1+5−1−51−51+51−51−51+51+5−1+5−1+5−1−5−1−50000000000002ζ11−2ζ19−2ζ11+2ζ192ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ7−2ζ3+2ζ72ζ3−2ζ7000000000000000000000000000000000000000000000
χ854-4-44-44-44-44−1−5−1+51+51−5−1−5−1+51+51−5−1−5−1+51+51−51+51+51−51−5−1−5−1−5−1+5−1+50000000000002ζ3−2ζ7−2ζ3+2ζ72ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ192ζ11−2ζ19−2ζ11+2ζ19000000000000000000000000000000000000000000000
χ864-4-44-44-44-44−1−5−1+51+51−5−1−5−1+51+51−5−1−5−1+51+51−51+51+51−51−5−1−5−1−5−1+5−1+5000000000000−2ζ3+2ζ72ζ3−2ζ7−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ19−2ζ11+2ζ192ζ11−2ζ19000000000000000000000000000000000000000000000
χ8788-8-80000008888-8-8-8-800000000000000000000000000000000000000000000000000000000000000000000000000000
χ8888-8-8000000−2+25−2−25−2+25−2−252−252+252−252+250000000000000000000000002ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ18−2ζ2+2ζ182ζ2−2ζ18000000000000000000000000000000000000000000000
χ8988-8-8000000−2+25−2−25−2+25−2−252−252+252−252+25000000000000000000000000−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ182ζ2−2ζ18−2ζ2+2ζ18000000000000000000000000000000000000000000000
χ9088-8-8000000−2−25−2+25−2−25−2+252+252−252+252−25000000000000000000000000−2ζ2+2ζ182ζ2−2ζ182ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ14000000000000000000000000000000000000000000000
χ9188-8-8000000−2−25−2+25−2−25−2+252+252−252+252−250000000000000000000000002ζ2−2ζ18−2ζ2+2ζ18−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ14000000000000000000000000000000000000000000000
χ928-88-8000000−2+25−2−252−252+252−252+25−2+25−2−25000000000000000000004i−4i00−2ζ11−2ζ19−2ζ11−2ζ192ζ11+2ζ192ζ11+2ζ19−2ζ3−2ζ7−2ζ3−2ζ72ζ3+2ζ72ζ3+2ζ7000000000000000000000000000000000000000000000
χ938-88-8000000−2+25−2−252−252+252−252+25−2+25−2−2500000000000000000000−4i4i002ζ11+2ζ192ζ11+2ζ19−2ζ11−2ζ19−2ζ11−2ζ192ζ3+2ζ72ζ3+2ζ7−2ζ3−2ζ7−2ζ3−2ζ7000000000000000000000000000000000000000000000
χ948-88-8000000−2−25−2+252+252−252+252−25−2−25−2+25000000000000000000004i−4i00−2ζ3−2ζ7−2ζ3−2ζ72ζ3+2ζ72ζ3+2ζ7−2ζ11−2ζ19−2ζ11−2ζ192ζ11+2ζ192ζ11+2ζ19000000000000000000000000000000000000000000000
χ958-88-8000000−2−25−2+252+252−252+252−25−2−25−2+2500000000000000000000−4i4i002ζ3+2ζ72ζ3+2ζ7−2ζ3−2ζ7−2ζ3−2ζ72ζ11+2ζ192ζ11+2ζ19−2ζ11−2ζ19−2ζ11−2ζ19000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.