Finite Group Databasebeta

← Group #11986840

Character table — Group #11986840

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size1111222222222222222222444444444488888888888888888888888888888888881616161616161616161616161616161616168080808080808080
order1222225510101010101010101010101010104420202020202020204444448888202020202020202040404040404040404040404040404040442020202020202020202020202020202088888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ511111111111111111111111111111111-111-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i
χ611111111111111111111111111111111-111-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii
χ711111111111111111111111111111111-111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1ii−i−i−i−iii
χ811111111111111111111111111111111-111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1−i−iiiii−i−i
χ9222222222222222222222222222222222-2-2-2-220000-2-2-2-2-2-2-2-2000000000000000000-2-2-2-200000000222200000000
χ1022222222222222222222222222222222-2-2-222-20000-2-2-2-2-2-2-2-2000000000000000000222200000000-2-2-2-200000000
χ11222222−1+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+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222222222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5222−1+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+52−1−52−1−5200000000
χ12222222−1+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+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222222-2-2-2-2−1+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+521+521+521+521+52-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−5200000000
χ13222222−1+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+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-2-2-2-2200001−521−521−521−521+521+521+521+52ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36001−521−521+521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−1+52−1+52−1−52−1−5200000000
χ14222222−1+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+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-2-2-2-2200001−521−521−521−521+521+521+521+52−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36001−521−521+521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−1+52−1+52−1−52−1−5200000000
χ15222222−1+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+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-222-2-2-22222−1+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+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52-2-21−521−521+521+521−521−521−521−521+521+521+521+521−521−521+521+5200000000
χ16222222−1+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+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-222-2-2-2-2-2-2-2−1+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+521+521+521+521+52221−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+5200000000
χ17222222−1+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+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-222-200001−521−521−521−521+521+521+521+52ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ3600−1+52−1+52−1−52−1−52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ361−521−521+521+5200000000
χ18222222−1+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+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-222-200001−521−521−521−521+521+521+521+52−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ3600−1+52−1+52−1−52−1−52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ361−521−521+521+5200000000
χ19222222−1−52−1+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+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222222222−1−52−1−52−1−52−1−52−1+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+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+5200000000
χ20222222−1−52−1+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+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222222-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+5200000000
χ21222222−1−52−1+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+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-2-2-2-2200001+521+521+521+521−521−521−521−52−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28001+521+521−521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−1−52−1−52−1+52−1+5200000000
χ22222222−1−52−1+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+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-2-2-2-2200001+521+521+521+521−521−521−521−52ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28001+521+521−521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−1−52−1−52−1+52−1+5200000000
χ23222222−1−52−1+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+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-222-2-2-22222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52-2-21+521+521−521−521+521+521+521+521−521−521−521−521+521+521−521−5200000000
χ24222222−1−52−1+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+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-222-2-2-2-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52221+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−5200000000
χ25222222−1−52−1+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+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-222-200001+521+521+521+521−521−521−521−52−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ2800−1−52−1−52−1+52−1+52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ281+521+521−521−5200000000
χ26222222−1−52−1+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+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-222-200001+521+521+521+521−521−521−521−52ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ2800−1−52−1−52−1+52−1+52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ281+521+521−521−5200000000
χ272-2-22-2222-2-2-2-2-2-222-222-2222-22222-2-2-2-20002i−2i00000000000000000000000000000002i−2i2i−2i00000000000000001−i−1+i1+i−1−i
χ282-2-22-2222-2-2-2-2-2-222-222-2222-22222-2-2-2-20002i−2i00000000000000000000000000000002i−2i2i−2i0000000000000000−1+i1−i−1−i1+i
χ292-2-22-2222-2-2-2-2-2-222-222-2222-22222-2-2-2-2000−2i2i0000000000000000000000000000000−2i2i−2i2i00000000000000001+i−1−i1−i−1+i
χ302-2-22-2222-2-2-2-2-2-222-222-2222-22222-2-2-2-2000−2i2i0000000000000000000000000000000−2i2i−2i2i0000000000000000−1−i1+i−1+i1−i
χ312-2-22-2222-2-2-2-2-2-222-222-222-22-2-2-2-2222220000-20000000000000000000000000000000000000000002-22-2i2−i2i2−i20000
χ322-2-22-2222-2-2-2-2-2-222-222-222-22-2-2-2-2222220000-20000000000000000000000000000000000000000002-22-2−i2i2−i2i20000
χ332-2-22-2222-2-2-2-2-2-222-222-222-22-2-2-2-22222-200002000000000000000000000000000000000000000000-22-222−2−220000
χ342-2-22-2222-2-2-2-2-2-222-222-222-22-2-2-2-22222-200002000000000000000000000000000000000000000000-22-22−222−20000
χ354444444444444444444444-4-4-4-4-4-4-4-4-4-4000000000000000000000000000000000000000000000000000000000000
χ36444444−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1+5−1+5−1−5−1−5−1−5−1+5−1−5-4-41−51−51+51+51−51−51+51+500000000002ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ28−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36000000000000000000000000000000000000000000
χ37444444−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1+5−1+5−1−5−1−5−1−5−1+5−1−5-4-41−51−51+51+51−51−51+51+50000000000−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ282ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ36000000000000000000000000000000000000000000
χ38444444−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1−5−1−5−1+5−1+5−1+5−1−5−1+5-4-41+51+51−51−51+51+51−51−50000000000−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28000000000000000000000000000000000000000000
χ39444444−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1−5−1−5−1+5−1+5−1+5−1−5−1+5-4-41+51+51−51−51+51+51−51−500000000002ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ28000000000000000000000000000000000000000000
χ404444-4-44444-4-4-4-4-4-44-4-444400000000000000002i2i−2i−2i000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i00000000000000000000000000
χ414444-4-44444-4-4-4-4-4-44-4-44440000000000000000−2i−2i2i2i00000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i00000000000000000000000000
χ424444-4-4−1+5−1−5−1+5−1−51−51−51+51+51−51−5−1+51+51+5−1−5−1+5−1−5002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ360000002i2i−2i−2i00000000−2ζ22−2ζ222ζ222ζ22−2ζ38−2ζ382ζ382ζ38−2ζ6−2ζ62ζ62ζ6−2ζ14−2ζ142ζ142ζ1400000000000000000000000000
χ434444-4-4−1+5−1−5−1+5−1−51−51−51+51+51−51−5−1+51+51+5−1−5−1+5−1−5002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36000000−2i−2i2i2i000000002ζ222ζ22−2ζ22−2ζ222ζ382ζ38−2ζ38−2ζ382ζ62ζ6−2ζ6−2ζ62ζ142ζ14−2ζ14−2ζ1400000000000000000000000000
χ444444-4-4−1+5−1−5−1+5−1−51−51−51+51+51−51−5−1+51+51+5−1−5−1+5−1−500−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ360000002i2i−2i−2i00000000−2ζ38−2ζ382ζ382ζ38−2ζ22−2ζ222ζ222ζ22−2ζ14−2ζ142ζ142ζ14−2ζ6−2ζ62ζ62ζ600000000000000000000000000
χ454444-4-4−1+5−1−5−1+5−1−51−51−51+51+51−51−5−1+51+51+5−1−5−1+5−1−500−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36000000−2i−2i2i2i000000002ζ382ζ38−2ζ38−2ζ382ζ222ζ22−2ζ22−2ζ222ζ142ζ14−2ζ14−2ζ142ζ62ζ6−2ζ6−2ζ600000000000000000000000000
χ464444-4-4−1−5−1+5−1−5−1+51+51+51−51−51+51+5−1−51−51−5−1+5−1−5−1+500−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ280000002i2i−2i−2i00000000−2ζ6−2ζ62ζ62ζ6−2ζ14−2ζ142ζ142ζ14−2ζ38−2ζ382ζ382ζ38−2ζ22−2ζ222ζ222ζ2200000000000000000000000000
χ474444-4-4−1−5−1+5−1−5−1+51+51+51−51−51+51+5−1−51−51−5−1+5−1−5−1+500−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28000000−2i−2i2i2i000000002ζ62ζ6−2ζ6−2ζ62ζ142ζ14−2ζ14−2ζ142ζ382ζ38−2ζ38−2ζ382ζ222ζ22−2ζ22−2ζ2200000000000000000000000000
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χ734-4-444-4−1+5−1−51−51+5−1+5−1+5−1−5−1−51−51−51−51+51+51+5−1+5−1−5002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ360000000000000000000000000000000000−2i2i00002ζ38−2ζ382ζ22−2ζ222ζ14−2ζ142ζ6−2ζ6000000000000
χ744-4-444-4−1+5−1−51−51+5−1+5−1+5−1−5−1−51−51−51−51+51+51+5−1+5−1−500−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ3600000000000000000000000000000000002i−2i0000−2ζ222ζ22−2ζ382ζ38−2ζ62ζ6−2ζ142ζ14000000000000
χ754-4-444-4−1+5−1−51−51+5−1+5−1+5−1−5−1−51−51−51−51+51+51+5−1+5−1−500−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ360000000000000000000000000000000000−2i2i00002ζ22−2ζ222ζ38−2ζ382ζ6−2ζ62ζ14−2ζ14000000000000
χ764-4-444-4−1−5−1+51+51−5−1−5−1−5−1+5−1+51+51+51+51−51−51−5−1−5−1+500−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2800000000000000000000000000000000002i−2i0000−2ζ142ζ14−2ζ62ζ6−2ζ222ζ22−2ζ382ζ38000000000000
χ774-4-444-4−1−5−1+51+51−5−1−5−1−5−1+5−1+51+51+51+51−51−51−5−1−5−1+500−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ280000000000000000000000000000000000−2i2i00002ζ14−2ζ142ζ6−2ζ62ζ22−2ζ222ζ38−2ζ38000000000000
χ784-4-444-4−1−5−1+51+51−5−1−5−1−5−1+5−1+51+51+51+51−51−51−5−1−5−1+5002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800000000000000000000000000000000002i−2i0000−2ζ62ζ6−2ζ142ζ14−2ζ382ζ38−2ζ222ζ22000000000000
χ794-4-444-4−1−5−1+51+51−5−1−5−1−5−1+5−1+51+51+51+51−51−51−5−1−5−1+5002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ280000000000000000000000000000000000−2i2i00002ζ6−2ζ62ζ14−2ζ142ζ38−2ζ382ζ22−2ζ22000000000000
χ804-4-44-44−1+5−1−51−51+51−51−51+51+5−1+5−1+51−5−1−5−1−51+5−1+5−1−54-4−1+5−1+5−1−5−1−51−51−51+51+50004i−4i0000000000000000000000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ1400000000000000000000
χ814-4-44-44−1+5−1−51−51+51−51−51+51+5−1+5−1+51−5−1−5−1−51+5−1+5−1−54-4−1+5−1+5−1−5−1−51−51−51+51+5000−4i4i00000000000000000000000000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ1400000000000000000000
χ824-4-44-44−1+5−1−51−51+51−51−51+51+5−1+5−1+51−5−1−5−1−51+5−1+5−1−5-441−51−51+51+5−1+5−1+5−1−5−1−540000-4000000000000000000000000000000000000000000−1+51−5−1−51+500000000
χ834-4-44-44−1+5−1−51−51+51−51−51+51+5−1+5−1+51−5−1−5−1−51+5−1+5−1−5-441−51−51+51+5−1+5−1+5−1−5−1−5-4000040000000000000000000000000000000000000000001−5−1+51+5−1−500000000
χ844-4-44-44−1−5−1+51+51−51+51+51−51−5−1−5−1−51+5−1+5−1+51−5−1−5−1+54-4−1−5−1−5−1+5−1+51+51+51−51−50004i−4i0000000000000000000000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ3800000000000000000000
χ854-4-44-44−1−5−1+51+51−51+51+51−51−5−1−5−1−51+5−1+5−1+51−5−1−5−1+54-4−1−5−1−5−1+5−1+51+51+51−51−5000−4i4i00000000000000000000000000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ3800000000000000000000
χ864-4-44-44−1−5−1+51+51−51+51+51−51−5−1−5−1−51+5−1+5−1+51−5−1−5−1+5-441+51+51−51−5−1−5−1−5−1+5−1+540000-4000000000000000000000000000000000000000000−1−51+5−1+51−500000000
χ874-4-44-44−1−5−1+51+51−51+51+51−51−5−1−5−1−51+5−1+5−1+51−5−1−5−1+5-441+51+51−51−5−1−5−1−5−1+5−1+5-4000040000000000000000000000000000000000000000001+5−1−51−5−1+500000000
χ8888-8-8008888000000-800-8-8-80000000000000000000000000000000000000000000000000000000000000000000000
χ8988-8-800−2+25−2−25−2+25−2−254ζ12−4ζ28−4ζ12+4ζ28−4ζ4+4ζ364ζ4−4ζ36−4ζ12+4ζ284ζ12−4ζ282−254ζ4−4ζ36−4ζ4+4ζ362+252−252+250000000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-800−2+25−2−25−2+25−2−25−4ζ12+4ζ284ζ12−4ζ284ζ4−4ζ36−4ζ4+4ζ364ζ12−4ζ28−4ζ12+4ζ282−25−4ζ4+4ζ364ζ4−4ζ362+252−252+250000000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-800−2−25−2+25−2−25−2+25−4ζ4+4ζ364ζ4−4ζ36−4ζ12+4ζ284ζ12−4ζ284ζ4−4ζ36−4ζ4+4ζ362+254ζ12−4ζ28−4ζ12+4ζ282−252+252−250000000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-800−2−25−2+25−2−25−2+254ζ4−4ζ36−4ζ4+4ζ364ζ12−4ζ28−4ζ12+4ζ28−4ζ4+4ζ364ζ4−4ζ362+25−4ζ12+4ζ284ζ12−4ζ282−252+252−250000000000000000000000000000000000000000000000000000000000000000000000

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