Finite Group Databasebeta

← Group #12126496

Character table — Group #12126496

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111122222244448888888888882222444444888816161616161616161616161622224444448888161616161616161616161616555510101010101020202020404040404040404040404040
order1222224444888824444488888851010101010202020204040404010202020202040404040404051010101010202020204040404010202020202040404040404022222244448888244444888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-111-1-1-1-1
χ311111111111111-1-11111-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1
χ411111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111
χ51111111111-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-111-1-1
χ61111111111-1-1-1-111-1-111-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-111
χ71111111111-1-1-1-1-1-111-1-111-1-1111111111111-1-1-1-1-1-111-1-111-1-1111111111111-1-1-1-1-1-111-1-111-1-1111111111111-1-1-1-1-1-111-1-111-1-111
χ81111111111-1-1-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1111111-1-1
χ9222222-2-2-2-200000000002i−2i0000222222-2-2-2-200000000002i−2i0000222222-2-2-2-200000000002i−2i0000222222-2-2-2-200000000002i−2i0000
χ10222222-2-2-2-20000000000−2i2i0000222222-2-2-2-20000000000−2i2i0000222222-2-2-2-20000000000−2i2i0000222222-2-2-2-20000000000−2i2i0000
χ112222-2-222-2-200002-200000000002222-2-222-2-200002-200000000002222-2-222-2-200002-200000000002222-2-222-2-200002-20000000000
χ122222-2-222-2-20000-2200000000002222-2-222-2-20000-2200000000002222-2-222-2-20000-2200000000002222-2-222-2-20000-220000000000
χ132222-2-2-2-22222-2-20000000000002222-2-2-2-22222-2-20000000000002222-2-2-2-22222-2-20000000000002222-2-2-2-22222-2-2000000000000
χ142222-2-2-2-222-2-2220000000000002222-2-2-2-222-2-2220000000000002222-2-2-2-222-2-2220000000000002222-2-2-2-222-2-222000000000000
χ152-2-222-22-22-2000000002-20000002-2-222-22-22-2000000002-20000002-2-222-22-22-2000000002-20000002-2-222-22-22-2000000002-2000000
χ162-2-222-22-22-200000000-220000002-2-222-22-22-200000000-220000002-2-222-22-22-200000000-220000002-2-222-22-22-200000000-22000000
χ172-2-222-2-22-220000000000002-2002-2-222-2-22-220000000000002-2002-2-222-2-22-220000000000002-2002-2-222-2-22-220000000000002-200
χ182-2-222-2-22-22000000000000-22002-2-222-2-22-22000000000000-22002-2-222-2-22-22000000000000-22002-2-222-2-22-22000000000000-2200
χ192-2-22-222-2-22000000000000002-22-2-22-222-2-22000000000000002-22-2-22-222-2-22000000000000002-22-2-22-222-2-22000000000000002-2
χ202-2-22-222-2-2200000000000000-222-2-22-222-2-2200000000000000-222-2-22-222-2-2200000000000000-222-2-22-222-2-2200000000000000-22
χ212-2-22-22-222-20000002-2000000002-2-22-22-222-20000002-2000000002-2-22-22-222-20000002-2000000002-2-22-22-222-20000002-200000000
χ222-2-22-22-222-2000000-22000000002-2-22-22-222-2000000-22000000002-2-22-22-222-2000000-22000000002-2-22-22-222-2000000-2200000000
χ2344-4-40000000022−2200000000000044-4-40000000022−2200000000000044-4-40000000022−2200000000000044-4-40000000022−22000000000000
χ2444-4-400000000−222200000000000044-4-400000000−222200000000000044-4-400000000−222200000000000044-4-400000000−2222000000000000
χ254-44-400000022−22000000000000004-44-400000022−22000000000000004-44-400000022−22000000000000004-44-400000022−2200000000000000
χ264-44-4000000−2222000000000000004-44-4000000−2222000000000000004-44-4000000−2222000000000000004-44-4000000−222200000000000000
χ27111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ281111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ2911111111111111-1-11111-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ3011111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ311111111111-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111
χ321111111111-1-1-1-111-1-111-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1
χ331111111111-1-1-1-1-1-111-1-111-1-1111111111111-1-1-1-1-1-111-1-111-1-1111111111111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1
χ341111111111-1-1-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ35222222-2-2-2-200000000002i−2i0000222222-2-2-2-200000000002i−2i0000222222-2-2-2-200000000002i−2i0000-2-2-2-2-2-222220000000000−2i2i0000
χ36222222-2-2-2-20000000000−2i2i0000222222-2-2-2-20000000000−2i2i0000222222-2-2-2-20000000000−2i2i0000-2-2-2-2-2-2222200000000002i−2i0000
χ372222-2-222-2-200002-200000000002222-2-222-2-200002-200000000002222-2-222-2-200002-20000000000-2-2-2-222-2-2220000-220000000000
χ382222-2-222-2-20000-2200000000002222-2-222-2-20000-2200000000002222-2-222-2-20000-220000000000-2-2-2-222-2-22200002-20000000000
χ392222-2-2-2-22222-2-20000000000002222-2-2-2-22222-2-20000000000002222-2-2-2-22222-2-2000000000000-2-2-2-22222-2-2-2-222000000000000
χ402222-2-2-2-222-2-2220000000000002222-2-2-2-222-2-2220000000000002222-2-2-2-222-2-222000000000000-2-2-2-22222-2-222-2-2000000000000
χ412-2-222-22-22-2000000002-20000002-2-222-22-22-2000000002-20000002-2-222-22-22-2000000002-2000000-222-2-22-22-2200000000-22000000
χ422-2-222-22-22-200000000-220000002-2-222-22-22-200000000-220000002-2-222-22-22-200000000-22000000-222-2-22-22-22000000002-2000000
χ432-2-222-2-22-220000000000002-2002-2-222-2-22-220000000000002-2002-2-222-2-22-220000000000002-200-222-2-222-22-2000000000000-2200
χ442-2-222-2-22-22000000000000-22002-2-222-2-22-22000000000000-22002-2-222-2-22-22000000000000-2200-222-2-222-22-20000000000002-200
χ452-2-22-222-2-22000000000000002-22-2-22-222-2-22000000000000002-22-2-22-222-2-22000000000000002-2-222-22-2-222-200000000000000-22
χ462-2-22-222-2-2200000000000000-222-2-22-222-2-2200000000000000-222-2-22-222-2-2200000000000000-22-222-22-2-222-2000000000000002-2
χ472-2-22-22-222-20000002-2000000002-2-22-22-222-20000002-2000000002-2-22-22-222-20000002-200000000-222-22-22-2-22000000-2200000000
χ482-2-22-22-222-2000000-22000000002-2-22-22-222-2000000-22000000002-2-22-22-222-2000000-2200000000-222-22-22-2-220000002-200000000
χ4944-4-40000000022−2200000000000044-4-40000000022−2200000000000044-4-40000000022−22000000000000-4-44400000000−2222000000000000
χ5044-4-400000000−222200000000000044-4-400000000−222200000000000044-4-400000000−2222000000000000-4-4440000000022−22000000000000
χ514-44-400000022−22000000000000004-44-400000022−22000000000000004-44-400000022−2200000000000000-44-44000000−222200000000000000
χ524-44-4000000−2222000000000000004-44-4000000−2222000000000000004-44-4000000−222200000000000000-44-4400000022−2200000000000000
χ5322222222222222222222222222−1+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+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5200000000000000000000000000
χ542222222222222222-2-2-2-222-2-2-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−521+521+521+521+5200000000000000000000000000
χ5522222222222222-2-22222-2-2-2-2-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−52−1+52−1+52−1+52−1+521−521−521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52−1−52−1−52−1−52−1−521+521+521+521+521+521+5200000000000000000000000000
χ5622222222222222-2-2-2-2-2-2-2-22222−1+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+521−521−521−521−521−521−521−521−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+521+521+52−1−52−1−52−1−52−1−5200000000000000000000000000
χ572222222222-2-2-2-22222-2-2-2-222-2-2−1+52−1+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+521−521−521−521−52−1+52−1+521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−521+521+5200000000000000000000000000
χ582222222222-2-2-2-222-2-222-2-2-2-222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+521−521−52−1+52−1+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+52−1−52−1−521+521+52−1−52−1−521+521+521+521+52−1−52−1−5200000000000000000000000000
χ592222222222-2-2-2-2-2-222-2-222-2-222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−52−1+52−1+521−521−52−1+52−1+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+521+521+52−1−52−1−521+521+52−1−52−1−521+521+52−1−52−1−5200000000000000000000000000
χ602222222222-2-2-2-2-2-2-2-2222222-2-2−1+52−1+52−1+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+52−1+52−1+521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+521+521+52−1−52−1−52−1−52−1−52−1−52−1−521+521+5200000000000000000000000000
χ61444444-4-4-4-400000000004i−4i0000−1+5−1+5−1+5−1+5−1+5−1+51−51−51−51−50000000000−2ζ22−2ζ382ζ22+2ζ380000−1−5−1−5−1−5−1−5−1−5−1−51+51+51+51+50000000000−2ζ6−2ζ142ζ6+2ζ14000000000000000000000000000000
χ62444444-4-4-4-40000000000−4i4i0000−1+5−1+5−1+5−1+5−1+5−1+51−51−51−51−500000000002ζ22+2ζ38−2ζ22−2ζ380000−1−5−1−5−1−5−1−5−1−5−1−51+51+51+51+500000000002ζ6+2ζ14−2ζ6−2ζ14000000000000000000000000000000
χ634444-4-444-4-400004-40000000000−1+5−1+5−1+5−1+51−51−5−1+5−1+51−51−50000−1+51−50000000000−1−5−1−5−1−5−1−51+51+5−1−5−1−51+51+50000−1−51+5000000000000000000000000000000000000
χ644444-4-444-4-40000-440000000000−1+5−1+5−1+5−1+51−51−5−1+5−1+51−51−500001−5−1+50000000000−1−5−1−5−1−5−1−51+51+5−1−5−1−51+51+500001+5−1−5000000000000000000000000000000000000
χ654444-4-4-4-44444-4-4000000000000−1+5−1+5−1+5−1+51−51−51−51−5−1+5−1+5−1+5−1+51−51−5000000000000−1−5−1−5−1−5−1−51+51+51+51+5−1−5−1−5−1−5−1−51+51+500000000000000000000000000000000000000
χ664444-4-4-4-444-4-444000000000000−1+5−1+5−1+5−1+51−51−51−51−5−1+5−1+51−51−5−1+5−1+5000000000000−1−5−1−5−1−5−1−51+51+51+51+5−1−5−1−51+51+5−1−5−1−500000000000000000000000000000000000000
χ674-4-444-44-44-4000000004-4000000−1+51−51−5−1+5−1+51−5−1+51−5−1+51−500000000−1+51−5000000−1−51+51+5−1−5−1−51+5−1−51+5−1−51+500000000−1−51+500000000000000000000000000000000
χ684-4-444-44-44-400000000-44000000−1+51−51−5−1+5−1+51−5−1+51−5−1+51−5000000001−5−1+5000000−1−51+51+5−1−5−1−51+5−1−51+5−1−51+5000000001+5−1−500000000000000000000000000000000
χ694-4-444-4-44-440000000000004-400−1+51−51−5−1+5−1+51−51−5−1+51−5−1+5000000000000−1+51−500−1−51+51+5−1−5−1−51+51+5−1−51+5−1−5000000000000−1−51+50000000000000000000000000000
χ704-4-444-4-44-44000000000000-4400−1+51−51−5−1+5−1+51−51−5−1+51−5−1+50000000000001−5−1+500−1−51+51+5−1−5−1−51+51+5−1−51+5−1−50000000000001+5−1−50000000000000000000000000000
χ714-4-44-444-4-44000000000000004-4−1+51−51−5−1+51−5−1+5−1+51−51−5−1+500000000000000−1+51−5−1−51+51+5−1−51+5−1−5−1−51+51+5−1−500000000000000−1−51+500000000000000000000000000
χ724-4-44-444-4-4400000000000000-44−1+51−51−5−1+51−5−1+5−1+51−51−5−1+5000000000000001−5−1+5−1−51+51+5−1−51+5−1−5−1−51+51+5−1−5000000000000001+5−1−500000000000000000000000000
χ734-4-44-44-444-40000004-400000000−1+51−51−5−1+51−5−1+51−5−1+5−1+51−5000000−1+51−500000000−1−51+51+5−1−51+5−1−51+5−1−5−1−51+5000000−1−51+50000000000000000000000000000000000
χ744-4-44-44-444-4000000-4400000000−1+51−51−5−1+51−5−1+51−5−1+5−1+51−50000001−5−1+500000000−1−51+51+5−1−51+5−1−51+5−1−5−1−51+50000001+5−1−50000000000000000000000000000000000
χ7588-8-80000000042−42000000000000−2+25−2+252−252−2500000000−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ37000000000000−2−25−2−252+252+25000000002ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ3900000000000000000000000000000000000000
χ7688-8-800000000−4242000000000000−2+25−2+252−252−25000000002ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37000000000000−2−25−2−252+252+2500000000−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ3900000000000000000000000000000000000000
χ778-88-800000042−4200000000000000−2+252−25−2+252−25000000−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ3700000000000000−2−252+25−2−252+250000002ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ390000000000000000000000000000000000000000
χ788-88-8000000−424200000000000000−2+252−25−2+252−250000002ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ3700000000000000−2−252+25−2−252+25000000−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ390000000000000000000000000000000000000000
χ7922222222222222222222222222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+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+52−1+52−1+52−1+52−1+52−1+5200000000000000000000000000
χ802222222222222222-2-2-2-222-2-2-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−521+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+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+521−521−521−521−5200000000000000000000000000
χ8122222222222222-2-22222-2-2-2-2-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52−1−52−1−52−1−52−1−521+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+52−1+52−1+521−521−52−1+52−1+52−1+52−1+521−521−521−521−521−521−5200000000000000000000000000
χ8222222222222222-2-2-2-2-2-2-2-22222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+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+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+5200000000000000000000000000
χ832222222222-2-2-2-22222-2-2-2-222-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−521+521+52−1+52−1+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+521−521−521−521−52−1+52−1+521−521−5200000000000000000000000000
χ842222222222-2-2-2-222-2-222-2-2-2-222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−521+521+52−1−52−1−521+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+521−521−521−521−52−1+52−1+521−521−52−1+52−1+521−521−521−521−52−1+52−1+5200000000000000000000000000
χ852222222222-2-2-2-2-2-222-2-222-2-222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+52−1−52−1−521+521+52−1−52−1−521+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+521−521−521−521−521−521−52−1+52−1+521−521−52−1+52−1+521−521−52−1+52−1+5200000000000000000000000000
χ862222222222-2-2-2-2-2-2-2-2222222-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+521+521+52−1−52−1−52−1−52−1−52−1−52−1−521+521+52−1+52−1+52−1+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+52−1+52−1+521−521−5200000000000000000000000000
χ87444444-4-4-4-400000000004i−4i0000−1−5−1−5−1−5−1−5−1−5−1−51+51+51+51+50000000000−2ζ6−2ζ142ζ6+2ζ140000−1+5−1+5−1+5−1+5−1+5−1+51−51−51−51−50000000000−2ζ22−2ζ382ζ22+2ζ38000000000000000000000000000000
χ88444444-4-4-4-40000000000−4i4i0000−1−5−1−5−1−5−1−5−1−5−1−51+51+51+51+500000000002ζ6+2ζ14−2ζ6−2ζ140000−1+5−1+5−1+5−1+5−1+5−1+51−51−51−51−500000000002ζ22+2ζ38−2ζ22−2ζ38000000000000000000000000000000
χ894444-4-444-4-400004-40000000000−1−5−1−5−1−5−1−51+51+5−1−5−1−51+51+50000−1−51+50000000000−1+5−1+5−1+5−1+51−51−5−1+5−1+51−51−50000−1+51−5000000000000000000000000000000000000
χ904444-4-444-4-40000-440000000000−1−5−1−5−1−5−1−51+51+5−1−5−1−51+51+500001+5−1−50000000000−1+5−1+5−1+5−1+51−51−5−1+5−1+51−51−500001−5−1+5000000000000000000000000000000000000
χ914444-4-4-4-44444-4-4000000000000−1−5−1−5−1−5−1−51+51+51+51+5−1−5−1−5−1−5−1−51+51+5000000000000−1+5−1+5−1+5−1+51−51−51−51−5−1+5−1+5−1+5−1+51−51−500000000000000000000000000000000000000
χ924444-4-4-4-444-4-444000000000000−1−5−1−5−1−5−1−51+51+51+51+5−1−5−1−51+51+5−1−5−1−5000000000000−1+5−1+5−1+5−1+51−51−51−51−5−1+5−1+51−51−5−1+5−1+500000000000000000000000000000000000000
χ934-4-444-44-44-4000000004-4000000−1−51+51+5−1−5−1−51+5−1−51+5−1−51+500000000−1−51+5000000−1+51−51−5−1+5−1+51−5−1+51−5−1+51−500000000−1+51−500000000000000000000000000000000
χ944-4-444-44-44-400000000-44000000−1−51+51+5−1−5−1−51+5−1−51+5−1−51+5000000001+5−1−5000000−1+51−51−5−1+5−1+51−5−1+51−5−1+51−5000000001−5−1+500000000000000000000000000000000
χ954-4-444-4-44-440000000000004-400−1−51+51+5−1−5−1−51+51+5−1−51+5−1−5000000000000−1−51+500−1+51−51−5−1+5−1+51−51−5−1+51−5−1+5000000000000−1+51−50000000000000000000000000000
χ964-4-444-4-44-44000000000000-4400−1−51+51+5−1−5−1−51+51+5−1−51+5−1−50000000000001+5−1−500−1+51−51−5−1+5−1+51−51−5−1+51−5−1+50000000000001−5−1+50000000000000000000000000000
χ974-4-44-444-4-44000000000000004-4−1−51+51+5−1−51+5−1−5−1−51+51+5−1−500000000000000−1−51+5−1+51−51−5−1+51−5−1+5−1+51−51−5−1+500000000000000−1+51−500000000000000000000000000
χ984-4-44-444-4-4400000000000000-44−1−51+51+5−1−51+5−1−5−1−51+51+5−1−5000000000000001+5−1−5−1+51−51−5−1+51−5−1+5−1+51−51−5−1+5000000000000001−5−1+500000000000000000000000000
χ994-4-44-44-444-40000004-400000000−1−51+51+5−1−51+5−1−51+5−1−5−1−51+5000000−1−51+500000000−1+51−51−5−1+51−5−1+51−5−1+5−1+51−5000000−1+51−50000000000000000000000000000000000
χ1004-4-44-44-444-4000000-4400000000−1−51+51+5−1−51+5−1−51+5−1−5−1−51+50000001+5−1−500000000−1+51−51−5−1+51−5−1+51−5−1+5−1+51−50000001−5−1+50000000000000000000000000000000000
χ10188-8-80000000042−42000000000000−2−25−2−252+252+25000000002ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ39000000000000−2+25−2+252−252−2500000000−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ3700000000000000000000000000000000000000
χ10288-8-800000000−4242000000000000−2−25−2−252+252+2500000000−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ39000000000000−2+25−2+252−252−25000000002ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ3700000000000000000000000000000000000000
χ1038-88-800000042−4200000000000000−2−252+25−2−252+250000002ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ3900000000000000−2+252−25−2+252−25000000−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ370000000000000000000000000000000000000000
χ1048-88-8000000−424200000000000000−2−252+25−2−252+25000000−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ3900000000000000−2+252−25−2+252−250000002ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ370000000000000000000000000000000000000000

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