Finite Group Databasebeta

← Group #12012624

Character table — Group #12012624

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size112222222222244444444444444448888888888816161616161616161616161616161616161616161616161616161616168080808080808080
order12244551010202020202224101010101010202020202020488101010102020202088888404040404040404040404040404040404040404040404040224416161616
χ111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-11111111111111-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-11-111-1-1
χ611111111111111-1-11111111111111-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-11-1-111
χ711111111111111-1-11111111111111-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-11-1-1-111
χ811111111111111-1-11111111111111-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11-1111-1-1
χ9222222222222222222222222222222-2-222222222-20000-2-2-2-200000000-2-2-2-20000000000000000
χ1022222222222222-2-22222222222222-2-2-2-2-2-2-2-2-2-2-220000222200000000-2-2-2-20000000000000000
χ112222222222222-200-222-2-2-2-222-2-2-2-202-2000000000000000000000000022-2-200000000020-20000
χ122222222222222-200-222-2-2-2-222-2-2-2-202-2000000000000000000000000022-2-2000000000-2020000
χ132222222222222-200-222-2-2-2-222-2-2-2-20-220000000000000000000000000-2-2220000000020-200000
χ142222222222222-200-222-2-2-2-222-2-2-2-20-220000000000000000000000000-2-22200000000-20200000
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+52−1−52−1−522-2-2-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+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+52−1−52−1−52-200001−521−521+521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ361−521+521−521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ3600000000
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+52−1−52−1−52-200001−521−521+521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ361−521+521−521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ3600000000
χ1922222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2-22−1+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+52-222-2-21−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+5200000000
χ2022222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2-22−1+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+52-2-2-2221−521−521+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+52−1−52−1−52−1−52−1−5200000000
χ2122222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2-22−1+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+5220000−1+52−1+52−1−52−1−52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ361−521+521−521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ3600000000
χ2222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2-22−1+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+5220000−1+52−1+52−1−52−1−52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ361−521+521−521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ3600000000
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+522-2-2-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5200000000
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+52-200001+521+521−521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ281+521−521+521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ2800000000
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+52-200001+521+521−521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ281+521−521+521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ2800000000
χ2722222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-2-22−1−52−1+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+521−521−52-222-2-21+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+521−521−521−521−5200000000
χ2822222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-2-22−1−52−1+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+521−521−52-2-2-2221+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+5200000000
χ2922222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-2-22−1−52−1+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+521−521−5220000−1−52−1−52−1+52−1+52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ281+521−521+521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ2800000000
χ3022222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-2-22−1−52−1+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+521−521−5220000−1−52−1−52−1+52−1+52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ281+521−521+521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ2800000000
χ31222-2-22222-2-2-2-2222-2222222-2-2-2-2-2-2-2002222-2-2-2-2000000000000000000000000000000000i2−i2i2−i2
χ32222-2-22222-2-2-2-2222-2222222-2-2-2-2-2-2-2002222-2-2-2-2000000000000000000000000000000000−i2i2−i2i2
χ33222-2-22222-2-2-2-22-2-2-2222222-2-2-2-2-2-2200-2-2-2-22222000000000000000000000000000000000i2−i2−i2i2
χ34222-2-22222-2-2-2-22-2-2-2222222-2-2-2-2-2-2200-2-2-2-22222000000000000000000000000000000000−i2i2i2−i2
χ3544444−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5-400-4−1+5−1−51−51−51+51+5−1+5−1−51−51−51+51+504-40000000000000000000000000−1+5−1−51−51+50000000000000000
χ3644444−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5-400-4−1+5−1−51−51−51+51+5−1+5−1−51−51−51+51+50-4400000000000000000000000001−51+5−1+5−1−50000000000000000
χ3744444−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5-400-4−1−5−1+51+51+51−51−5−1−5−1+51+51+51−51−504-40000000000000000000000000−1−5−1+51+51−50000000000000000
χ3844444−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5-400-4−1−5−1+51+51+51−51−5−1−5−1+51+51+51−51−50-4400000000000000000000000001+51−5−1−5−1+50000000000000000
χ39444-4-44444-4-4-4-4-400444-4-4-4-4-4-44444000000000000000000000000000000000000000000000000
χ40444-4-4−1+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
χ41444-4-4−1+5−1−5−1+5−1−51−51−51+51+54-4-4-4−1+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
χ42444-4-4−1+5−1−5−1+5−1−51−51−51+51+5-4004−1+5−1−51−51−51+51+51−51+5−1+5−1+5−1−5−1−50000000000000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ140000000000000000000000000000
χ43444-4-4−1+5−1−5−1+5−1−51−51−51+51+5-4004−1+5−1−51−51−51+51+51−51+5−1+5−1+5−1−5−1−500000000000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ140000000000000000000000000000
χ44444-4-4−1−5−1+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
χ45444-4-4−1−5−1+5−1−5−1+51+51+51−51−54-4-4-4−1−5−1+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
χ46444-4-4−1−5−1+5−1−5−1+51+51+51−51−5-4004−1−5−1+51+51+51−51−51+51−5−1−5−1−5−1+5−1+500000000000000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ380000000000000000000000000000
χ47444-4-4−1−5−1+5−1−5−1+51+51+51−51−5-4004−1−5−1+51+51+51−51−51+51−5−1−5−1−5−1+5−1+50000000000000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ380000000000000000000000000000
χ4844-44-44444-4-4-4-40000-4-400004400000000000000002i−2i0000002i−2i2i−2i2i−2i2i−2i00000000000000000000
χ4944-44-44444-4-4-4-40000-4-40000440000000000000000−2i2i000000−2i2i−2i2i−2i2i−2i2i00000000000000000000
χ5044-44-4−1+5−1−5−1+5−1−51−51−51+51+500001−51+52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−1+5−1−52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ360000000000002i−2i000000−2ζ222ζ22−2ζ382ζ38−2ζ62ζ6−2ζ142ζ1400000000000000000000
χ5144-44-4−1+5−1−5−1+5−1−51−51−51+51+500001−51+52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−1+5−1−52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36000000000000−2i2i0000002ζ22−2ζ222ζ38−2ζ382ζ6−2ζ62ζ14−2ζ1400000000000000000000
χ5244-44-4−1+5−1−5−1+5−1−51−51−51+51+500001−51+5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−1+5−1−5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ360000000000002i−2i000000−2ζ382ζ38−2ζ222ζ22−2ζ142ζ14−2ζ62ζ600000000000000000000
χ5344-44-4−1+5−1−5−1+5−1−51−51−51+51+500001−51+5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−1+5−1−5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36000000000000−2i2i0000002ζ38−2ζ382ζ22−2ζ222ζ14−2ζ142ζ6−2ζ600000000000000000000
χ5444-44-4−1−5−1+5−1−5−1+51+51+51−51−500001+51−5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−1−5−1+5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ280000000000002i−2i000000−2ζ62ζ6−2ζ142ζ14−2ζ382ζ38−2ζ222ζ2200000000000000000000
χ5544-44-4−1−5−1+5−1−5−1+51+51+51−51−500001+51−5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−1−5−1+5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28000000000000−2i2i0000002ζ6−2ζ62ζ14−2ζ142ζ38−2ζ382ζ22−2ζ2200000000000000000000
χ5644-44-4−1−5−1+5−1−5−1+51+51+51−51−500001+51−52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−1−5−1+52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ280000000000002i−2i000000−2ζ142ζ14−2ζ62ζ6−2ζ222ζ22−2ζ382ζ3800000000000000000000
χ5744-44-4−1−5−1+5−1−5−1+51+51+51−51−500001+51−52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−1−5−1+52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28000000000000−2i2i0000002ζ14−2ζ142ζ6−2ζ62ζ22−2ζ222ζ38−2ζ3800000000000000000000
χ5844-4-44444444440000-4-40000-4-40000000000000000002-200000000000000002-22-22-22-200000000
χ5944-4-44444444440000-4-40000-4-4000000000000000000-220000000000000000-22-22-22-2200000000
χ6044-4-44−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−500001−51+52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ361−51+5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36000000000000002-20000000000000000−2ζ122ζ12−2ζ282ζ28−2ζ362ζ36−2ζ42ζ400000000
χ6144-4-44−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−500001−51+52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ361−51+5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ3600000000000000-2200000000000000002ζ12−2ζ122ζ28−2ζ282ζ36−2ζ362ζ4−2ζ400000000
χ6244-4-44−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−500001−51+5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ361−51+52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36000000000000002-20000000000000000−2ζ282ζ28−2ζ122ζ12−2ζ42ζ4−2ζ362ζ3600000000
χ6344-4-44−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−500001−51+5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ361−51+52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ3600000000000000-2200000000000000002ζ28−2ζ282ζ12−2ζ122ζ4−2ζ42ζ36−2ζ3600000000
χ6444-4-44−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+500001+51−5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ281+51−52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28000000000000002-20000000000000000−2ζ362ζ36−2ζ42ζ4−2ζ282ζ28−2ζ122ζ1200000000
χ6544-4-44−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+500001+51−5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ281+51−52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2800000000000000-2200000000000000002ζ36−2ζ362ζ4−2ζ42ζ28−2ζ282ζ12−2ζ1200000000
χ6644-4-44−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+500001+51−52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ281+51−5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28000000000000002-20000000000000000−2ζ42ζ4−2ζ362ζ36−2ζ122ζ12−2ζ282ζ2800000000
χ6744-4-44−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+500001+51−52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ281+51−5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800000000000000-2200000000000000002ζ4−2ζ42ζ36−2ζ362ζ12−2ζ122ζ28−2ζ2800000000
χ688-800088-8-8000004-400000000000000004-44-400000000000000000000000000000000000000000
χ698-800088-8-800000-440000000000000000-44-4400000000000000000000000000000000000000000
χ708-8000−2+25−2−252−252+25−4ζ22+4ζ384ζ22−4ζ384ζ6−4ζ14−4ζ6+4ζ1404-40000000000000000−1+51−5−1−51+5−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ140000000000000000000000000000000000000
χ718-8000−2+25−2−252−252+25−4ζ22+4ζ384ζ22−4ζ384ζ6−4ζ14−4ζ6+4ζ140-4400000000000000001−5−1+51+5−1−52ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ140000000000000000000000000000000000000
χ728-8000−2+25−2−252−252+254ζ22−4ζ38−4ζ22+4ζ38−4ζ6+4ζ144ζ6−4ζ1404-40000000000000000−1+51−5−1−51+52ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ140000000000000000000000000000000000000
χ738-8000−2+25−2−252−252+254ζ22−4ζ38−4ζ22+4ζ38−4ζ6+4ζ144ζ6−4ζ140-4400000000000000001−5−1+51+5−1−5−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ140000000000000000000000000000000000000
χ748-8000−2−25−2+252+252−254ζ6−4ζ14−4ζ6+4ζ144ζ22−4ζ38−4ζ22+4ζ3804-40000000000000000−1−51+5−1+51−52ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ380000000000000000000000000000000000000
χ758-8000−2−25−2+252+252−254ζ6−4ζ14−4ζ6+4ζ144ζ22−4ζ38−4ζ22+4ζ380-4400000000000000001+5−1−51−5−1+5−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ380000000000000000000000000000000000000
χ768-8000−2−25−2+252+252−25−4ζ6+4ζ144ζ6−4ζ14−4ζ22+4ζ384ζ22−4ζ3804-40000000000000000−1−51+5−1+51−5−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ380000000000000000000000000000000000000
χ778-8000−2−25−2+252+252−25−4ζ6+4ζ144ζ6−4ζ14−4ζ22+4ζ384ζ22−4ζ380-4400000000000000001+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); i = ζ10.