Finite Group Databasebeta

← Group #12011464

Character table — Group #12011464

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size112222222222244444444444444448888888888816161616161616161616161616161616161616161616161616161616168080808080808080
order12244551010202020202224101010101010202020202020488101010102020202024448101010102020202020202020202020204040404040404040224416161616
χ111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ51111111111111-1-111111111111111-111-1-1-1-1-1-1-1-111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111-11-111-1-1
χ61111111111111-1-111111111111111-111-1-1-1-1-1-1-1-111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-1-111
χ71111111111111-1-111111111111111-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-111111-11-1-1-111
χ81111111111111-1-111111111111111-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-11-1111-1-1
χ9222222222222200-2-222-2-2-2-2-2-2-2-22202-200000000000000000000000000000000022-2-2020-20000
χ10222222222222200-2-222-2-2-2-2-2-2-2-22202-200000000000000000000000000000000022-2-20-2020000
χ11222222222222200-2-222-2-2-2-2-2-2-2-2220-22000000000000000000000000000000000-2-22220-200000
χ12222222222222200-2-222-2-2-2-2-2-2-2-2220-22000000000000000000000000000000000-2-222-20200000
χ13222222222222222222222222222222-2-2222222220000-20000000000000000-2-2-2-2-2-2-2-200000000
χ142222222222222-2-222222222222222-2-2-2-2-2-2-2-2-2-2-20000200000000000000002222-2-2-2-200000000
χ1522222−1+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+52−1−52222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−5200000000
χ1622222−1+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+52−1−52222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-221−521−521+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+52−1−5200000000
χ1722222−1+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+52−1−522-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000-2ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ361−521−521+521+521−521+521−521+5200000000
χ1822222−1+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+52−1−522-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000-2−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ361−521−521+521+521−521+521−521+5200000000
χ1922222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2221−521−521+521+521−521−521+521+5222-2-2-2−1+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+52−1+52−1−52−1+52−1−5200000000
χ2022222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2221−521−521+521+521−521−521+521+52-2-222-21−521−521+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+52−1+52−1−52−1+52−1−5200000000
χ2122222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-21−521−521+521+521−521−521+521+5200002ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−1+52−1+52−1−52−1−521−521+521−521+5200000000
χ2222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-21−521−521+521+521−521−521+521+5200002−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−1+52−1+52−1−52−1−521−521+521−521+5200000000
χ2322222−1−52−1+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+52222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+5200000000
χ2422222−1−52−1+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+52222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-221+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+5200000000
χ2522222−1−52−1+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+522-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000-2−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ281+521+521−521−521+521−521+521−5200000000
χ2622222−1−52−1+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+522-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000-2ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ281+521+521−521−521+521−521+521−5200000000
χ2722222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2221+521+521−521−521+521+521−521−5222-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521−521−52−1−52−1+52−1−52−1+5200000000
χ2822222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2221+521+521−521−521+521+521−521−52-2-222-21+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+521−521−52−1−52−1+52−1−52−1+5200000000
χ2922222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-21+521+521−521−521+521+521−521−5200002−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−1−52−1−52−1+52−1+521+521−521+521−5200000000
χ3022222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-21+521+521−521−521+521+521−521−5200002ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−1−52−1−52−1+52−1+521+521−521+521−5200000000
χ31222-2-22222-2-2-2-2222-2222222-2-2-2-2-2-2-2002222-2-2-2-20000000000000000000000000000000002−22−2
χ32222-2-22222-2-2-2-2222-2222222-2-2-2-2-2-2-2002222-2-2-2-2000000000000000000000000000000000−22−22
χ33222-2-22222-2-2-2-2-2-22-2222222-2-2-2-2-2-2200-2-2-2-222220000000000000000000000000000000002−2−22
χ34222-2-22222-2-2-2-2-2-22-2222222-2-2-2-2-2-2200-2-2-2-22222000000000000000000000000000000000−222−2
χ3544444−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−500-4-4−1+5−1−51−51−51+51+51−51−51+51+5−1+5−1−504-4000000000000000000000000000000000−1+5−1−51−51+500000000
χ3644444−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−500-4-4−1+5−1−51−51−51+51+51−51−51+51+5−1+5−1−50-440000000000000000000000000000000001−51+5−1+5−1−500000000
χ3744444−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+500-4-4−1−5−1+51+51+51−51−51+51+51−51−5−1−5−1+504-4000000000000000000000000000000000−1−5−1+51+51−500000000
χ3844444−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+500-4-4−1−5−1+51+51+51−51−51+51+51−51−5−1−5−1+50-440000000000000000000000000000000001+51−5−1−5−1+500000000
χ39444-4-44444-4-4-4-400-4444-4-4-4-44444-4-4000000000000000000000000000000000000000000000000
χ40444-4-4−1+5−1−5−1+5−1−51−51−51+51+500-44−1+5−1−51−51−51+51+5−1+5−1+5−1−5−1−51−51+500000000000000000000000000000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ14000000000000
χ41444-4-4−1+5−1−5−1+5−1−51−51−51+51+500-44−1+5−1−51−51−51+51+5−1+5−1+5−1−5−1−51−51+5000000000000000000000000000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14000000000000
χ42444-4-4−1+5−1−5−1+5−1−51−51−51+51+5444-4−1+5−1−5−1+5−1+5−1−5−1−51−51−51+51+51−51+5-400−1+5−1+5−1−5−1−51−51−51+51+50000000000000000000000000000000000000
χ43444-4-4−1+5−1−5−1+5−1−51−51−51+51+5-4-44-4−1+5−1−5−1+5−1+5−1−5−1−51−51−51+51+51−51+54001−51−51+51+5−1+5−1+5−1−5−1−50000000000000000000000000000000000000
χ44444-4-4−1−5−1+5−1−5−1+51+51+51−51−500-44−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+51+51−5000000000000000000000000000000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38000000000000
χ45444-4-4−1−5−1+5−1−5−1+51+51+51−51−500-44−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+51+51−500000000000000000000000000000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ38000000000000
χ46444-4-4−1−5−1+5−1−5−1+51+51+51−51−5444-4−1−5−1+5−1−5−1−5−1+5−1+51+51+51−51−51+51−5-400−1−5−1−5−1+5−1+51+51+51−51−50000000000000000000000000000000000000
χ47444-4-4−1−5−1+5−1−5−1+51+51+51−51−5-4-44-4−1−5−1+5−1−5−1−5−1+5−1+51+51+51−51−51+51−54001+51+51−51−5−1−5−1−5−1+5−1+50000000000000000000000000000000000000
χ4844-44-4444444440000-4-400000000-4-400000000000002-20000000002-22-22-22-20000000000000000
χ4944-44-4444444440000-4-400000000-4-40000000000000-22000000000-22-22-22-220000000000000000
χ5044-44-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−500001−51+52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ361−51+500000000000002-2000000000−2ζ282ζ28−2ζ122ζ12−2ζ42ζ4−2ζ362ζ360000000000000000
χ5144-44-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−500001−51+52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ361−51+50000000000000-220000000002ζ28−2ζ282ζ12−2ζ122ζ4−2ζ42ζ36−2ζ360000000000000000
χ5244-44-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−500001−51+5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ361−51+500000000000002-2000000000−2ζ122ζ12−2ζ282ζ28−2ζ362ζ36−2ζ42ζ40000000000000000
χ5344-44-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−500001−51+5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ361−51+50000000000000-220000000002ζ12−2ζ122ζ28−2ζ282ζ36−2ζ362ζ4−2ζ40000000000000000
χ5444-44-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+500001+51−5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ281+51−500000000000002-2000000000−2ζ42ζ4−2ζ362ζ36−2ζ122ζ12−2ζ282ζ280000000000000000
χ5544-44-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+500001+51−5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ281+51−50000000000000-220000000002ζ4−2ζ42ζ36−2ζ362ζ12−2ζ122ζ28−2ζ280000000000000000
χ5644-44-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+500001+51−52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ281+51−500000000000002-2000000000−2ζ362ζ36−2ζ42ζ4−2ζ282ζ28−2ζ122ζ120000000000000000
χ5744-44-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+500001+51−52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ281+51−50000000000000-220000000002ζ36−2ζ362ζ4−2ζ42ζ28−2ζ282ζ12−2ζ120000000000000000
χ5844-4-444444-4-4-4-40000-4-40000000044000000000002-20002222-2-2-2-2000000000000000000000000
χ5944-4-444444-4-4-4-40000-4-4000000004400000000000-22000-2-2-2-22222000000000000000000000000
χ6044-4-44−1+5−1−5−1+5−1−51−51−51+51+500001−51+52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−1+5−1−5000000000002-2000−2ζ28−2ζ12−2ζ4−2ζ362ζ282ζ122ζ42ζ36000000000000000000000000
χ6144-4-44−1+5−1−5−1+5−1−51−51−51+51+500001−51+52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−1+5−1−500000000000-220002ζ282ζ122ζ42ζ36−2ζ28−2ζ12−2ζ4−2ζ36000000000000000000000000
χ6244-4-44−1+5−1−5−1+5−1−51−51−51+51+500001−51+5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−1+5−1−5000000000002-2000−2ζ12−2ζ28−2ζ36−2ζ42ζ122ζ282ζ362ζ4000000000000000000000000
χ6344-4-44−1+5−1−5−1+5−1−51−51−51+51+500001−51+5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−1+5−1−500000000000-220002ζ122ζ282ζ362ζ4−2ζ12−2ζ28−2ζ36−2ζ4000000000000000000000000
χ6444-4-44−1−5−1+5−1−5−1+51+51+51−51−500001+51−5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−1−5−1+5000000000002-2000−2ζ4−2ζ36−2ζ12−2ζ282ζ42ζ362ζ122ζ28000000000000000000000000
χ6544-4-44−1−5−1+5−1−5−1+51+51+51−51−500001+51−5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−1−5−1+500000000000-220002ζ42ζ362ζ122ζ28−2ζ4−2ζ36−2ζ12−2ζ28000000000000000000000000
χ6644-4-44−1−5−1+5−1−5−1+51+51+51−51−500001+51−52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−1−5−1+5000000000002-2000−2ζ36−2ζ4−2ζ28−2ζ122ζ362ζ42ζ282ζ12000000000000000000000000
χ6744-4-44−1−5−1+5−1−5−1+51+51+51−51−500001+51−52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−1−5−1+500000000000-220002ζ362ζ42ζ282ζ12−2ζ36−2ζ4−2ζ28−2ζ12000000000000000000000000
χ688-800088-8-800004-4000000000000000004-44-400000000000000000000000000000000000000000
χ698-800088-8-80000-4400000000000000000-44-4400000000000000000000000000000000000000000
χ708-8000−2+25−2−252−252+25−4ζ22+4ζ384ζ22−4ζ384ζ6−4ζ14−4ζ6+4ζ144-400000000000000000−1+51−5−1−51+5−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ140000000000000000000000000000000000000
χ718-8000−2+25−2−252−252+25−4ζ22+4ζ384ζ22−4ζ384ζ6−4ζ14−4ζ6+4ζ14-44000000000000000001−5−1+51+5−1−52ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ140000000000000000000000000000000000000
χ728-8000−2+25−2−252−252+254ζ22−4ζ38−4ζ22+4ζ38−4ζ6+4ζ144ζ6−4ζ144-400000000000000000−1+51−5−1−51+52ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ140000000000000000000000000000000000000
χ738-8000−2+25−2−252−252+254ζ22−4ζ38−4ζ22+4ζ38−4ζ6+4ζ144ζ6−4ζ14-44000000000000000001−5−1+51+5−1−5−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ140000000000000000000000000000000000000
χ748-8000−2−25−2+252+252−254ζ6−4ζ14−4ζ6+4ζ144ζ22−4ζ38−4ζ22+4ζ384-400000000000000000−1−51+5−1+51−52ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ380000000000000000000000000000000000000
χ758-8000−2−25−2+252+252−254ζ6−4ζ14−4ζ6+4ζ144ζ22−4ζ38−4ζ22+4ζ38-44000000000000000001+5−1−51−5−1+5−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ380000000000000000000000000000000000000
χ768-8000−2−25−2+252+252−25−4ζ6+4ζ144ζ6−4ζ14−4ζ22+4ζ384ζ22−4ζ384-400000000000000000−1−51+5−1+51−5−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ380000000000000000000000000000000000000
χ778-8000−2−25−2+252+252−25−4ζ6+4ζ144ζ6−4ζ14−4ζ22+4ζ384ζ22−4ζ38-44000000000000000001+5−1−51−5−1+52ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ380000000000000000000000000000000000000

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