Finite Group Databasebeta

← Group #12144383

Character table — Group #12144383

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11112222222222222244444444444444448888888888888888101010101010101016161616161616161616161616161616161616161616161616162020202040404040404040408080
order1244222444551010202020208888101010101010202020202020244488884040404040404040444488884810102020202020202020202040404040404040404040404044882244444448
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-11111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-1-111-1-1
χ411111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111
χ51111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-11-1111-1-1-1-1
χ61111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-1-11111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1
χ9111111111111111111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-11-11-1-111-11
χ10111111111111111111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111-11-111-1-11-1
χ11111111111111111111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111111-1
χ12111111111111111111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-11
χ13111111111111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-11-1
χ14111111111111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-11
χ15111111111111111111-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-11-11-111-1-1-11
χ16111111111111111111-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-11-11-1-1111-1
χ172222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222222222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000000022−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000
χ182222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000-2-2−1+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+5200000000000000
χ192222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-22222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000-2-21−521+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+5200000000000000
χ202222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000221−521+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+52−1−52−1−5200000000000000
χ212222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-222-2-21−521−521−521−521+521+521+521+52000000002-2−1+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+5200000000000000
χ222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-2-2-2221−521−521−521−521+521+521+521+5200000000-22−1+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+52−1−52−1−5200000000000000
χ232222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-22222-2-21−521−521−521−521+521+521+521+5200000000-221−521+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+52−1−52−1−5200000000000000
χ242222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-222-2-2221−521−521−521−521+521+521+521+52000000002-21−521+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+5200000000000000
χ252222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000000022−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000
χ262222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000-2-2−1−52−1+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+521−521−5200000000000000
χ272222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-22222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000-2-21+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+521−521−5200000000000000
χ282222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000221+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+5200000000000000
χ292222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-222-2-21+521+521+521+521−521−521−521−52000000002-2−1−52−1+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+521−521−5200000000000000
χ302222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-2-2-2221+521+521+521+521−521−521−521−5200000000-22−1−52−1+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+5200000000000000
χ312222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-22222-2-21+521+521+521+521−521−521−521−5200000000-221+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+5200000000000000
χ322222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-222-2-2221+521+521+521+521−521−521−521−52000000002-21+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+521−521−5200000000000000
χ3322222-2-2-22-222222222000022-2-2-2-2-2-222-2-2002i−2i000000000000000022220000002i−2i2i−2i000000000000000000-2-20000002i−2i00
χ3422222-2-2-22-222222222000022-2-2-2-2-2-222-2-2002i−2i0000000000000000-2-2-2-20000002i−2i2i−2i00000000000000000022000000−2i2i00
χ3522222-2-2-22-222222222000022-2-2-2-2-2-222-2-200−2i2i00000000000000002222000000−2i2i−2i2i000000000000000000-2-2000000−2i2i00
χ3622222-2-2-22-222222222000022-2-2-2-2-2-222-2-200−2i2i0000000000000000-2-2-2-2000000−2i2i−2i2i000000000000000000220000002i−2i00
χ372222-2-222-2-2222222220000-2-22-22-222-2-2-2-20000002i−2i00000000222200000000000000000000002i−2i2i−2i0000-2-20000002i−2i0000
χ382222-2-222-2-2222222220000-2-22-22-222-2-2-2-20000002i−2i00000000-2-2-2-200000000000000000000002i−2i2i−2i000022000000−2i2i0000
χ392222-2-222-2-2222222220000-2-22-22-222-2-2-2-2000000−2i2i0000000022220000000000000000000000−2i2i−2i2i0000-2-2000000−2i2i0000
χ402222-2-222-2-2222222220000-2-22-22-222-2-2-2-2000000−2i2i00000000-2-2-2-20000000000000000000000−2i2i−2i2i0000220000002i−2i0000
χ4122-2-22-2-22-222222-2-2-2-2000022-2-2-2-222-2-22200002i−2i00000000002i2i−2i−2i0000000000000000002i−2i2i−2i000000002i−2i00020-2000000
χ4222-2-22-2-22-222222-2-2-2-2000022-2-2-2-222-2-22200002i−2i0000000000−2i−2i2i2i0000000000000000002i−2i2i−2i00000000−2i2i000-202000000
χ4322-2-22-2-22-222222-2-2-2-2000022-2-2-2-222-2-2220000−2i2i00000000002i2i−2i−2i000000000000000000−2i2i−2i2i000000002i−2i000-202000000
χ4422-2-22-2-22-222222-2-2-2-2000022-2-2-2-222-2-2220000−2i2i0000000000−2i−2i2i2i000000000000000000−2i2i−2i2i00000000−2i2i00020-2000000
χ4522-2-2-22-222-22222-2-2-2-22i2i−2i−2i-2-2-22-222222-2-2000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i22-2-200000000000000000000000000−2i2i2-20000000000
χ4622-2-2-22-222-22222-2-2-2-22i2i−2i−2i-2-2-22-222222-2-2000000002i2i−2i−2i2i2i−2i−2i−2i−2i2i2i-2-222000000000000000000000000002i−2i-220000000000
χ4722-2-2-22-222-22222-2-2-2-2−2i−2i2i2i-2-2-22-222222-2-200000000−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i-2-22200000000000000000000000000−2i2i-220000000000
χ4822-2-2-22-222-22222-2-2-2-2−2i−2i2i2i-2-2-22-222222-2-200000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i22-2-2000000000000000000000000002i−2i2-20000000000
χ4922-2-2-2-22-2222222-2-2-2-20000-2-22-22-2-2-222222-200000000000000000022-2-20022-2-20000000000000000000000-2220-20000000
χ5022-2-2-2-22-2222222-2-2-2-20000-2-22-22-2-2-222222-2000000000000000000-2-2220022-2-200000000000000000000002-2-2020000000
χ5122-2-2-2-22-2222222-2-2-2-20000-2-22-22-2-2-22222-2200000000000000000022-2-200-2-2220000000000000000000000-22-2020000000
χ5222-2-2-2-22-2222222-2-2-2-20000-2-22-22-2-2-22222-22000000000000000000-2-22200-2-22200000000000000000000002-220-20000000
χ5344444-4-4-44-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−50000−1+5−1−51−51−51+51+51−51+5−1+5−1−51−51+5004i−4i00000000000000000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14000000000000000000000000000000
χ5444444-4-4-44-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−50000−1+5−1−51−51−51+51+51−51+5−1+5−1−51−51+500−4i4i000000000000000000000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14000000000000000000000000000000
χ5544444-4-4-44-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+50000−1−5−1+51+51+51−51−51+51−5−1−5−1+51+51−5004i−4i00000000000000000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38000000000000000000000000000000
χ5644444-4-4-44-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+50000−1−5−1+51+51+51−51−51+51−5−1−5−1+51+51−500−4i4i000000000000000000000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38000000000000000000000000000000
χ574444-44-4-4-44444444440000-4-4-44-44-4-4-4-4440000000000000000000000000000000000000000000000000000000000000000
χ584444-44-4-4-44−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−500001−51+51−5−1+51+5−1−51−51+51−51+5−1+5−1−500000000000000000000000000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ3600000000000000000000000000
χ594444-44-4-4-44−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−500001−51+51−5−1+51+5−1−51−51+51−51+5−1+5−1−50000000000000000000000000000000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ3600000000000000000000000000
χ604444-44-4-4-44−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+500001+51−51+5−1−51−5−1+51+51−51+51−5−1−5−1+50000000000000000000000000000000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800000000000000000000000000
χ614444-44-4-4-44−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+500001+51−51+5−1−51−5−1+51+51−51+51−5−1−5−1+500000000000000000000000000000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2800000000000000000000000000
χ624444-4-444-4-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−500001−51+5−1+51−5−1−51+5−1+5−1−51−51+51−51+50000004i−4i0000000000000000000000000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14000000000000000000
χ634444-4-444-4-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−500001−51+5−1+51−5−1−51+5−1+5−1−51−51+51−51+5000000−4i4i00000000000000000000000000000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14000000000000000000
χ644444-4-444-4-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+500001+51−5−1−51+5−1+51−5−1−5−1+51+51−51+51−50000004i−4i0000000000000000000000000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38000000000000000000
χ654444-4-444-4-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+500001+51−5−1−51+5−1+51−5−1−5−1+51+51−51+51−5000000−4i4i00000000000000000000000000000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38000000000000000000
χ6644-4-4444-4-4-44444-4-4-4-40000444444-4-4-4-4-4-40000000000000000000000000000000000000000000000000000000000000000
χ6744-4-4444-4-4-4−1+5−1−5−1+5−1−51−51−51+51+50000−1+5−1−5−1+5−1+5−1−5−1−51−51+51−51+51−51+50000000000000000000000000000000000000000000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ1400000000000000
χ6844-4-4444-4-4-4−1+5−1−5−1+5−1−51−51−51+51+50000−1+5−1−5−1+5−1+5−1−5−1−51−51+51−51+51−51+500000000000000000000000000000000000000000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ1400000000000000
χ6944-4-4444-4-4-4−1−5−1+5−1−5−1+51+51+51−51−50000−1−5−1+5−1−5−1−5−1+5−1+51+51−51+51−51+51−500000000000000000000000000000000000000000000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ3800000000000000
χ7044-4-4444-4-4-4−1−5−1+5−1−5−1+51+51+51−51−50000−1−5−1+5−1−5−1−5−1+5−1+51+51−51+51−51+51−50000000000000000000000000000000000000000000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ3800000000000000
χ7144-4-44-4-44-44−1+5−1−5−1+5−1−51−51−51+51+50000−1+5−1−51−51−51+51+5−1+5−1−51−51+5−1+5−1−500004i−4i00000000000000000000000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ140000000000000000000000
χ7244-4-44-4-44-44−1+5−1−5−1+5−1−51−51−51+51+50000−1+5−1−51−51−51+51+5−1+5−1−51−51+5−1+5−1−50000−4i4i000000000000000000000000000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ140000000000000000000000
χ7344-4-44-4-44-44−1−5−1+5−1−5−1+51+51+51−51−50000−1−5−1+51+51+51−51−5−1−5−1+51+51−5−1−5−1+500004i−4i00000000000000000000000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ380000000000000000000000
χ7444-4-44-4-44-44−1−5−1+5−1−5−1+51+51+51−51−50000−1−5−1+51+51+51−51−5−1−5−1+51+51−5−1−5−1+50000−4i4i000000000000000000000000000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ380000000000000000000000
χ7544-4-4-44-444-4−1+5−1−5−1+5−1−51−51−51+51+54i4i−4i−4i1−51+51−5−1+51+5−1−5−1+5−1−5−1+5−1−51−51+500000000−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ14000000000000000000000000000000000000000000000000
χ7644-4-4-44-444-4−1+5−1−5−1+5−1−51−51−51+51+5−4i−4i4i4i1−51+51−5−1+51+5−1−5−1+5−1−5−1+5−1−51−51+5000000002ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ14000000000000000000000000000000000000000000000000
χ7744-4-4-44-444-4−1−5−1+5−1−5−1+51+51+51−51−54i4i−4i−4i1+51−51+5−1−51−5−1+5−1−5−1+5−1−5−1+51+51−500000000−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ14−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38000000000000000000000000000000000000000000000000
χ7844-4-4-44-444-4−1−5−1+5−1−5−1+51+51+51−51−5−4i−4i4i4i1+51−51+5−1−51−5−1+5−1−5−1+5−1−5−1+51+51−5000000002ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ142ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ38000000000000000000000000000000000000000000000000
χ7944-4-4-4-44-444−1+5−1−5−1+5−1−51−51−51+51+500001−51+5−1+51−5−1−51+51−51+5−1+5−1−5−1+5−1−54-4000000000000000000000000−1+5−1−51−51+50000000000000000000000000000000000
χ8044-4-4-4-44-444−1+5−1−5−1+5−1−51−51−51+51+500001−51+5−1+51−5−1−51+51−51+5−1+5−1−5−1+5−1−5-440000000000000000000000001−51+5−1+5−1−50000000000000000000000000000000000
χ8144-4-4-4-44-444−1−5−1+5−1−5−1+51+51+51−51−500001+51−5−1−51+5−1+51−51+51−5−1−5−1+5−1−5−1+54-4000000000000000000000000−1−5−1+51+51−50000000000000000000000000000000000
χ8244-4-4-4-44-444−1−5−1+5−1−5−1+51+51+51−51−500001+51−5−1−51+5−1+51−51+51−5−1−5−1+5−1−5−1+5-440000000000000000000000001+51−5−1−5−1+50000000000000000000000000000000000
χ834-44i−4i00000044-4-44i−4i4i−4i−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900000000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392+2i−2−2i2−2i−2+2i22−222i2−2i20000000000000000000000000000000000000000
χ844-44i−4i00000044-4-44i−4i4i−4i−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900000000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2−2i2+2i−2+2i2−2i−2222−2i22i20000000000000000000000000000000000000000
χ854-44i−4i00000044-4-44i−4i4i−4i2ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392+2i−2−2i2−2i−2+2i−2222−2i22i20000000000000000000000000000000000000000
χ864-44i−4i00000044-4-44i−4i4i−4i2ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2−2i2+2i−2+2i2−2i22−222i2−2i20000000000000000000000000000000000000000
χ874-4−4i4i00000044-4-4−4i4i−4i4i−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700000000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372−2i−2+2i2+2i−2−2i−22222i2−2i20000000000000000000000000000000000000000
χ884-4−4i4i00000044-4-4−4i4i−4i4i−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700000000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2+2i2−2i−2−2i2+2i22−22−2i22i20000000000000000000000000000000000000000
χ894-4−4i4i00000044-4-4−4i4i−4i4i2ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372−2i−2+2i2+2i−2−2i22−22−2i22i20000000000000000000000000000000000000000
χ904-4−4i4i00000044-4-4−4i4i−4i4i2ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2+2i2−2i−2−2i2+2i−22222i2−2i20000000000000000000000000000000000000000
χ918-88i−8i000000−2+25−2−252−252+25−4ζ22−4ζ384ζ22+4ζ38−4ζ6−4ζ144ζ6+4ζ14−4ζ13−4ζ21−4ζ29−4ζ374ζ13+4ζ21+4ζ29+4ζ37−4ζ7−4ζ23−4ζ31−4ζ394ζ7+4ζ23+4ζ31+4ζ39000000000000000000002ζ13+2ζ37−2ζ13−2ζ372ζ7+2ζ23−2ζ7−2ζ232ζ21+2ζ29−2ζ21−2ζ292ζ31+2ζ39−2ζ31−2ζ39000000000000000000000000000000000000000000000000
χ928-88i−8i000000−2+25−2−252−252+25−4ζ22−4ζ384ζ22+4ζ38−4ζ6−4ζ144ζ6+4ζ144ζ13+4ζ21+4ζ29+4ζ37−4ζ13−4ζ21−4ζ29−4ζ374ζ7+4ζ23+4ζ31+4ζ39−4ζ7−4ζ23−4ζ31−4ζ3900000000000000000000−2ζ13−2ζ372ζ13+2ζ37−2ζ7−2ζ232ζ7+2ζ23−2ζ21−2ζ292ζ21+2ζ29−2ζ31−2ζ392ζ31+2ζ39000000000000000000000000000000000000000000000000
χ938-88i−8i000000−2−25−2+252+252−25−4ζ6−4ζ144ζ6+4ζ14−4ζ22−4ζ384ζ22+4ζ38−4ζ13−4ζ21−4ζ29−4ζ374ζ13+4ζ21+4ζ29+4ζ37−4ζ7−4ζ23−4ζ31−4ζ394ζ7+4ζ23+4ζ31+4ζ39000000000000000000002ζ21+2ζ29−2ζ21−2ζ292ζ31+2ζ39−2ζ31−2ζ392ζ13+2ζ37−2ζ13−2ζ372ζ7+2ζ23−2ζ7−2ζ23000000000000000000000000000000000000000000000000
χ948-88i−8i000000−2−25−2+252+252−25−4ζ6−4ζ144ζ6+4ζ14−4ζ22−4ζ384ζ22+4ζ384ζ13+4ζ21+4ζ29+4ζ37−4ζ13−4ζ21−4ζ29−4ζ374ζ7+4ζ23+4ζ31+4ζ39−4ζ7−4ζ23−4ζ31−4ζ3900000000000000000000−2ζ21−2ζ292ζ21+2ζ29−2ζ31−2ζ392ζ31+2ζ39−2ζ13−2ζ372ζ13+2ζ37−2ζ7−2ζ232ζ7+2ζ23000000000000000000000000000000000000000000000000
χ958-8−8i8i000000−2+25−2−252−252+254ζ22+4ζ38−4ζ22−4ζ384ζ6+4ζ14−4ζ6−4ζ14−4ζ7−4ζ23−4ζ31−4ζ394ζ7+4ζ23+4ζ31+4ζ39−4ζ13−4ζ21−4ζ29−4ζ374ζ13+4ζ21+4ζ29+4ζ37000000000000000000002ζ7+2ζ23−2ζ7−2ζ232ζ13+2ζ37−2ζ13−2ζ372ζ31+2ζ39−2ζ31−2ζ392ζ21+2ζ29−2ζ21−2ζ29000000000000000000000000000000000000000000000000
χ968-8−8i8i000000−2+25−2−252−252+254ζ22+4ζ38−4ζ22−4ζ384ζ6+4ζ14−4ζ6−4ζ144ζ7+4ζ23+4ζ31+4ζ39−4ζ7−4ζ23−4ζ31−4ζ394ζ13+4ζ21+4ζ29+4ζ37−4ζ13−4ζ21−4ζ29−4ζ3700000000000000000000−2ζ7−2ζ232ζ7+2ζ23−2ζ13−2ζ372ζ13+2ζ37−2ζ31−2ζ392ζ31+2ζ39−2ζ21−2ζ292ζ21+2ζ29000000000000000000000000000000000000000000000000
χ978-8−8i8i000000−2−25−2+252+252−254ζ6+4ζ14−4ζ6−4ζ144ζ22+4ζ38−4ζ22−4ζ38−4ζ7−4ζ23−4ζ31−4ζ394ζ7+4ζ23+4ζ31+4ζ39−4ζ13−4ζ21−4ζ29−4ζ374ζ13+4ζ21+4ζ29+4ζ37000000000000000000002ζ31+2ζ39−2ζ31−2ζ392ζ21+2ζ29−2ζ21−2ζ292ζ7+2ζ23−2ζ7−2ζ232ζ13+2ζ37−2ζ13−2ζ37000000000000000000000000000000000000000000000000
χ988-8−8i8i000000−2−25−2+252+252−254ζ6+4ζ14−4ζ6−4ζ144ζ22+4ζ38−4ζ22−4ζ384ζ7+4ζ23+4ζ31+4ζ39−4ζ7−4ζ23−4ζ31−4ζ394ζ13+4ζ21+4ζ29+4ζ37−4ζ13−4ζ21−4ζ29−4ζ3700000000000000000000−2ζ31−2ζ392ζ31+2ζ39−2ζ21−2ζ292ζ21+2ζ29−2ζ7−2ζ232ζ7+2ζ23−2ζ13−2ζ372ζ13+2ζ37000000000000000000000000000000000000000000000000

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