Finite Group Databasebeta

← Group #12137381

Character table — Group #12137381

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size111122222222222222444444444444448888888888888888816161616161616161616161616161616161616161616161616162020202020202020202040404040404040404080
order1222224444551010101010108810101010202020202020202022224488840404040404040408810101010101010102020202040404040404040404040404022224444882444448884
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1-11-1-1-111-1
χ4111111111111111111111111111111111111-1-1-1-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1111-1-11
χ511111111111111111111111111111111-1-1-1-111-1-1111111111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-111111-1
χ611111111111111111111111111111111-1-1-1-111-1-1111111111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-1-1-1-11
χ711111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-111-1-1-1-1111
χ811111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111111-1-11111-1-1-1
χ9111111111111111111-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-111-1-1-11-1-1-1
χ10111111111111111111-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1111
χ11111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111-1-1-11
χ12111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1111-1
χ13111111111111111111-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-1111-1-11-1-11-1-11
χ14111111111111111111-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-111-111-111-1
χ15111111111111111111-1-1111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1111111-1-1-1-1
χ16111111111111111111-1-1111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-11111
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+52−1−52−1−52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000
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+52−1−522222-2-2-2-22−1+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+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200000000000000000000
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+52−1−52-2-2-2-222-2-22−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000
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+52−1−52−1−52−1−52−1−522-21−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000000
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+52−1−5222-2-22222-21−521−521−521−521+521+521+521+52-2-2−1+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+5200000000000000000000
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+52−1−5222-2-2-2-2-2-2-21−521−521−521−521+521+521+521+5222−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000
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+52−1−52-2-22222-2-2-21−521−521−521−521+521+521+521+522-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000000
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+52−1−52-2-222-2-222-21−521−521−521−521+521+521+521+52-221−521−521+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+52−1−52−1−5200000000000000000000
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+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000
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+522222-2-2-2-22−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000000000000000
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+52-2-2-2-222-2-22−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-221+521+521−521−521+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+5200000000000000000000
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+522-21+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+521+521+521−521−5200000000000000000000
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+5222-2-22222-21+521+521+521+521−521−521−521−52-2-2−1−52−1−52−1+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+521−521−5200000000000000000000
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+5222-2-2-2-2-2-2-21+521+521+521+521−521−521−521−5222−1−52−1−52−1+52−1+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+5200000000000000000000
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+52-2-22222-2-2-21+521+521+521+521−521−521−521−522-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000
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+52-2-222-2-222-21+521+521+521+521−521−521−521−52-221+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+5200000000000000000000
χ332222-2-22-2-222222222222-2-2-2-222-2-2-2-22200000000-222-2-222-2-200000000000000000000000000002200-2-200200-2000000
χ342222-2-22-2-222222222222-2-2-2-222-2-2-2-22200000000-222-2-222-2-20000000000000000000000000000-2-2002200-2002000000
χ352222-2-22-2-2222222222-2-2-2-2-2-222-2-2-2-222000000002-2-222-2-22200000000000000000000000000002200-2-200-2002000000
χ362222-2-22-2-2222222222-2-2-2-2-2-222-2-2-2-222000000002-2-222-2-2220000000000000000000000000000-2-2002200200-2000000
χ372222-2-2-222-22222222200-2-2-2-2-2-22222-2-200002-20000000000000000000002-22-20000000000002200-2-200-2-20000002000
χ382222-2-2-222-22222222200-2-2-2-2-2-22222-2-200002-20000000000000000000002-22-2000000000000-2-200220022000000-2000
χ392222-2-2-222-22222222200-2-2-2-2-2-22222-2-20000-22000000000000000000000-22-220000000000002200-2-20022000000-2000
χ402222-2-2-222-22222222200-2-2-2-2-2-22222-2-20000-22000000000000000000000-22-22000000000000-2-2002200-2-20000002000
χ412-2-222-222-2-2222-2-22-2-2002-22-2222-22-2-2-20000002i−2i000000000000000000000002i−2i2i−2i000000002-2002-2000002i−2i0000000
χ422-2-222-222-2-2222-2-22-2-2002-22-2222-22-2-2-20000002i−2i000000000000000000000002i−2i2i−2i00000000-2200-2200000−2i2i0000000
χ432-2-222-222-2-2222-2-22-2-2002-22-2222-22-2-2-2000000−2i2i00000000000000000000000−2i2i−2i2i000000002-2002-200000−2i2i0000000
χ442-2-222-222-2-2222-2-22-2-2002-22-2222-22-2-2-2000000−2i2i00000000000000000000000−2i2i−2i2i00000000-2200-22000002i−2i0000000
χ452-2-222-2-2-222222-2-22-2-2002-22-2-2-2-22-2222002-200000000000000000002-22-20000000000000000002-2002-20000000002-20
χ462-2-222-2-2-222222-2-22-2-2002-22-2-2-2-22-2222002-200000000000000000002-22-2000000000000000000-2200-22000000000-220
χ472-2-222-2-2-222222-2-22-2-2002-22-2-2-2-22-222200-220000000000000000000-22-220000000000000000002-2002-2000000000-220
χ482-2-222-2-2-222222-2-22-2-2002-22-2-2-2-22-222200-220000000000000000000-22-22000000000000000000-2200-220000000002-20
χ492-2-22-22-22-22222-2-22-2-200-22-22-2-22-22-2222-2000000000000000002-22-2000000000000000000002-22-2-22-22000000000000
χ502-2-22-22-22-22222-2-22-2-200-22-22-2-22-22-2222-2000000000000000002-22-200000000000000000000-22-222-22-2000000000000
χ512-2-22-22-22-22222-2-22-2-200-22-22-2-22-22-222-2200000000000000000-22-22000000000000000000002-2-22-222-2000000000000
χ522-2-22-22-22-22222-2-22-2-200-22-22-2-22-22-222-2200000000000000000-22-2200000000000000000000-222-22-2-22000000000000
χ53444444-4-4-4-444444444004444-4-4-4-4-4-4-4-4000000000000000000000000000000000000000000000000000000000000000
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+5000000000000000000000000000000000000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ1400000000000000000000
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+50000000000000000000000000000000000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ1400000000000000000000
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+51−50000000000000000000000000000000000000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ3800000000000000000000
χ57444444-4-4-4-4−1−5−1+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+51−5000000000000000000000000000000000000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ3800000000000000000000
χ584444-4-44-4-44−1+5−1−5−1+5−1+5−1+5−1−5−1−5−1−5441−51−51+51+5−1+5−1−51−51−51+51+5−1+5−1−500000000-4−1+5−1+51−51−5−1−5−1−51+51+50000000000000000000000000000000000000000000000
χ594444-4-44-4-44−1+5−1−5−1+5−1+5−1+5−1−5−1−5−1−5-4-41−51−51+51+5−1+5−1−51−51−51+51+5−1+5−1−50000000041−51−5−1+5−1+51+51+5−1−5−1−50000000000000000000000000000000000000000000000
χ604444-4-44-4-44−1−5−1+5−1−5−1−5−1−5−1+5−1+5−1+5441+51+51−51−5−1−5−1+51+51+51−51−5−1−5−1+500000000-4−1−5−1−51+51+5−1+5−1+51−51−50000000000000000000000000000000000000000000000
χ614444-4-44-4-44−1−5−1+5−1−5−1−5−1−5−1+5−1+5−1+5-4-41+51+51−51−5−1−5−1+51+51+51−51−5−1−5−1+50000000041+51+5−1−5−1−51−51−5−1+5−1+50000000000000000000000000000000000000000000000
χ624444-4-4-444-4−1+5−1−5−1+5−1+5−1+5−1−5−1−5−1−5001−51−51+51+51−51+5−1+5−1+5−1−5−1−51−51+500004-4000000000000000000000−1+51−5−1−51+500000000000000000000000000000000
χ634444-4-4-444-4−1+5−1−5−1+5−1+5−1+5−1−5−1−5−1−5001−51−51+51+51−51+5−1+5−1+5−1−5−1−51−51+50000-440000000000000000000001−5−1+51+5−1−500000000000000000000000000000000
χ644444-4-4-444-4−1−5−1+5−1−5−1−5−1−5−1+5−1+5−1+5001+51+51−51−51+51−5−1−5−1−5−1+5−1+51+51−500004-4000000000000000000000−1−51+5−1+51−500000000000000000000000000000000
χ654444-4-4-444-4−1−5−1+5−1−5−1−5−1−5−1+5−1+5−1+5001+51+51−51−51+51−5−1−5−1−5−1+5−1+51+51−50000-440000000000000000000001+5−1−51−5−1+500000000000000000000000000000000
χ6644-4-400000044-44-4-44-422−2200000000000000000000022−220022−220000000000000000000000000000000000002i2−2i200002i−2i0000
χ6744-4-400000044-44-4-44-422−2200000000000000000000022−220022−22000000000000000000000000000000000000−2i22i20000−2i2i0000
χ6844-4-400000044-44-4-44-4−2222000000000000000000000−222200−22220000000000000000000000000000000000002i2−2i20000−2i2i0000
χ6944-4-400000044-44-4-44-4−2222000000000000000000000−222200−2222000000000000000000000000000000000000−2i22i200002i−2i0000
χ704-4-444-444-4-4−1+5−1−5−1+51−51−5−1−51+51+500−1+51−5−1−51+5−1+5−1−5−1+51−5−1−51+51−51+50000004i−4i00000000000000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ140000000000000000000000000000
χ714-4-444-444-4-4−1+5−1−5−1+51−51−5−1−51+51+500−1+51−5−1−51+5−1+5−1−5−1+51−5−1−51+51−51+5000000−4i4i000000000000000000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ140000000000000000000000000000
χ724-4-444-444-4-4−1−5−1+5−1−51+51+5−1+51−51−500−1−51+5−1+51−5−1−5−1+5−1−51+5−1+51−51+51−50000004i−4i00000000000000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ380000000000000000000000000000
χ734-4-444-444-4-4−1−5−1+5−1−51+51+5−1+51−51−500−1−51+5−1+51−5−1−5−1+5−1−51+5−1+51−51+51−5000000−4i4i000000000000000000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ380000000000000000000000000000
χ744-4-444-4-4-444−1+5−1−5−1+51−51−5−1−51+51+500−1+51−5−1−51+51−51+51−5−1+51+5−1−5−1+5−1−5004-40000000000000000000−1+51−5−1−51+5000000000000000000000000000000000000
χ754-4-444-4-4-444−1+5−1−5−1+51−51−5−1−51+51+500−1+51−5−1−51+51−51+51−5−1+51+5−1−5−1+5−1−500-4400000000000000000001−5−1+51+5−1−5000000000000000000000000000000000000
χ764-4-444-4-4-444−1−5−1+5−1−51+51+5−1+51−51−500−1−51+5−1+51−51+51−51+5−1−51−5−1+5−1−5−1+5004-40000000000000000000−1−51+5−1+51−5000000000000000000000000000000000000
χ774-4-444-4-4-444−1−5−1+5−1−51+51+5−1+51−51−500−1−51+5−1+51−51+51−51+5−1−51−5−1+5−1−5−1+500-4400000000000000000001+5−1−51−5−1+5000000000000000000000000000000000000
χ784-4-44-444-44-4444-4-44-4-400-44-4444-44-44-4-4000000000000000000000000000000000000000000000000000000000000000
χ794-4-44-444-44-4−1+5−1−5−1+51−51−5−1−51+51+5001−5−1+51+5−1−5−1+5−1−51−5−1+51+5−1−51−51+500000000000000000000000000000000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ14000000000000000000000000
χ804-4-44-444-44-4−1+5−1−5−1+51−51−5−1−51+51+5001−5−1+51+5−1−5−1+5−1−51−5−1+51+5−1−51−51+5000000000000000000000000000000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14000000000000000000000000
χ814-4-44-444-44-4−1−5−1+5−1−51+51+5−1+51−51−5001+5−1−51−5−1+5−1−5−1+51+5−1−51−5−1+51+51−5000000000000000000000000000000000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38000000000000000000000000
χ824-4-44-444-44-4−1−5−1+5−1−51+51+5−1+51−51−5001+5−1−51−5−1+5−1−5−1+51+5−1−51−5−1+51+51−500000000000000000000000000000000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ38000000000000000000000000
χ834-4-44-44-44-44−1+5−1−5−1+51−51−5−1−51+51+5001−5−1+51+5−1−51−51+5−1+51−5−1−51+5−1+5−1−54-400000000000000000−1+51−5−1−51+50000000000000000000000000000000000000000
χ844-4-44-44-44-44−1+5−1−5−1+51−51−5−1−51+51+5001−5−1+51+5−1−51−51+5−1+51−5−1−51+5−1+5−1−5-44000000000000000001−5−1+51+5−1−50000000000000000000000000000000000000000
χ854-4-44-44-44-44−1−5−1+5−1−51+51+5−1+51−51−5001+5−1−51−5−1+51+51−5−1−51+5−1+51−5−1−5−1+54-400000000000000000−1−51+5−1+51−50000000000000000000000000000000000000000
χ864-4-44-44-44-44−1−5−1+5−1−51+51+5−1+51−51−5001+5−1−51−5−1+51+51−5−1−51+5−1+51−5−1−5−1+5-44000000000000000001+5−1−51−5−1+50000000000000000000000000000000000000000
χ8788-8-8000000−2+25−2−252−25−2+252−252+25−2−252+2542−42000000000000000000000−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ37002ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ39000000000000000000000000000000000000000000000000
χ8888-8-8000000−2+25−2−252−25−2+252−252+25−2−252+25−42420000000000000000000002ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ3700−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ39000000000000000000000000000000000000000000000000
χ8988-8-8000000−2−25−2+252+25−2−252+252−25−2+252−2542−420000000000000000000002ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ3900−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ37000000000000000000000000000000000000000000000000
χ9088-8-8000000−2−25−2+252+25−2−252+252−25−2+252−25−4242000000000000000000000−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ39002ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37000000000000000000000000000000000000000000000000
χ918-88-800000088-8-88-8-8800000000000000000000000000000000000000000000000000000000000000000000000000000
χ928-88-8000000−2+25−2−252−252−25−2+252+252+25−2−250000000000000000000000000−2ζ7−2ζ13+2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ3700−2ζ21+2ζ29+2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ390000000000000000000000000000000000000000000000
χ938-88-8000000−2+25−2−252−252−25−2+252+252+25−2−2500000000000000000000000002ζ7+2ζ13−2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ37002ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ390000000000000000000000000000000000000000000000
χ948-88-8000000−2−25−2+252+252+25−2−252−252−25−2+250000000000000000000000000−2ζ21+2ζ29+2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ39002ζ7+2ζ13−2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ370000000000000000000000000000000000000000000000
χ958-88-8000000−2−25−2+252+252+25−2−252−252−25−2+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.