Finite Group Databasebeta

← Group #12012617

Character table — Group #12012617

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83
size1111222222222244444444444444444488888888881616161616161616161616161616161616161616161616161616161616404040404040404080808080
order122244551010101010102488881010101020202020202020204440404040404040404488820202020202020202020202040404040404040404040404016161616161616162444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ4111111111111111111111111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111-1-11111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-1
χ611111111111111111111111111111111-1-11111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11
χ711111111111111111111111111111111-1-111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-11-11
χ811111111111111111111111111111111-1-111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-11-1
χ92222222222222222-2-2-2-222222222222222-2-2-2-2-2-2-2-200-20022220000000000000000-2-2-2-2000000000000
χ102222222222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-200200-2-2-2-200000000000000002222000000000000
χ1122222222222222-2-222-2-2-2-2-2-222-2-2-2-222002222-2-2-2-2000000000000000000000000000000000000020-20
χ1222222222222222-2-222-2-2-2-2-2-222-2-2-2-222002222-2-2-2-20000000000000000000000000000000000000-2020
χ1322222222222222-2-2-2-222-2-2-2-222-2-2-2-22200-2-2-2-222220000000000000000000000000000000000000020-2
χ1422222222222222-2-2-2-222-2-2-2-222-2-2-2-22200-2-2-2-2222200000000000000000000000000000000000000-202
χ15222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222222−1+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+52−1−52−1−5222222−1+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+52−1−52−1−52000000000000
χ16222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222222−1+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+52−1−52−1−52-2-22-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52000000000000
χ17222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-2-21−521+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+521−521−521+521+52000000000000
χ18222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2221−521+521−521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+52000000000000
χ19222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52221−521−521+521+521−521−521+521+5200-200−1+52−1−52−1+52−1−52ζ24−ζ56ζ24−ζ56−ζ24+ζ56−ζ24+ζ56−ζ8+ζ72−ζ8+ζ72ζ8−ζ72ζ8−ζ72ζ24−ζ56ζ24−ζ56−ζ24+ζ56−ζ24+ζ56−ζ8+ζ72−ζ8+ζ72ζ8−ζ72ζ8−ζ721−521−521+521+52000000000000
χ20222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52221−521−521+521+521−521−521+521+5200-200−1+52−1−52−1+52−1−52−ζ24+ζ56−ζ24+ζ56ζ24−ζ56ζ24−ζ56ζ8−ζ72ζ8−ζ72−ζ8+ζ72−ζ8+ζ72−ζ24+ζ56−ζ24+ζ56ζ24−ζ56ζ24−ζ56ζ8−ζ72ζ8−ζ72−ζ8+ζ72−ζ8+ζ721−521−521+521+52000000000000
χ21222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-21−521−521+521+521−521−521+521+52002001−521+521−521+52ζ24−ζ56ζ24−ζ56−ζ24+ζ56−ζ24+ζ56−ζ8+ζ72−ζ8+ζ72ζ8−ζ72ζ8−ζ72−ζ24+ζ56−ζ24+ζ56ζ24−ζ56ζ24−ζ56ζ8−ζ72ζ8−ζ72−ζ8+ζ72−ζ8+ζ72−1+52−1+52−1−52−1−52000000000000
χ22222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-21−521−521+521+521−521−521+521+52002001−521+521−521+52−ζ24+ζ56−ζ24+ζ56ζ24−ζ56ζ24−ζ56ζ8−ζ72ζ8−ζ72−ζ8+ζ72−ζ8+ζ72ζ24−ζ56ζ24−ζ56−ζ24+ζ56−ζ24+ζ56−ζ8+ζ72−ζ8+ζ72ζ8−ζ72ζ8−ζ72−1+52−1+52−1−52−1−52000000000000
χ23222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222222−1−52−1−52−1+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+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+52000000000000
χ24222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222222−1−52−1−52−1+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+52-2-22-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52000000000000
χ25222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-2-21+521−521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521−521−52000000000000
χ26222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+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+521+521+521−521−52000000000000
χ27222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52221+521+521−521−521+521+521−521−5200-200−1−52−1+52−1−52−1+52−ζ8+ζ72−ζ8+ζ72ζ8−ζ72ζ8−ζ72−ζ24+ζ56−ζ24+ζ56ζ24−ζ56ζ24−ζ56−ζ8+ζ72−ζ8+ζ72ζ8−ζ72ζ8−ζ72−ζ24+ζ56−ζ24+ζ56ζ24−ζ56ζ24−ζ561+521+521−521−52000000000000
χ28222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52221+521+521−521−521+521+521−521−5200-200−1−52−1+52−1−52−1+52ζ8−ζ72ζ8−ζ72−ζ8+ζ72−ζ8+ζ72ζ24−ζ56ζ24−ζ56−ζ24+ζ56−ζ24+ζ56ζ8−ζ72ζ8−ζ72−ζ8+ζ72−ζ8+ζ72ζ24−ζ56ζ24−ζ56−ζ24+ζ56−ζ24+ζ561+521+521−521−52000000000000
χ29222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-21+521+521−521−521+521+521−521−52002001+521−521+521−52−ζ8+ζ72−ζ8+ζ72ζ8−ζ72ζ8−ζ72−ζ24+ζ56−ζ24+ζ56ζ24−ζ56ζ24−ζ56ζ8−ζ72ζ8−ζ72−ζ8+ζ72−ζ8+ζ72ζ24−ζ56ζ24−ζ56−ζ24+ζ56−ζ24+ζ56−1−52−1−52−1+52−1+52000000000000
χ30222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-21+521+521−521−521+521+521−521−52002001+521−521+521−52ζ8−ζ72ζ8−ζ72−ζ8+ζ72−ζ8+ζ72ζ24−ζ56ζ24−ζ56−ζ24+ζ56−ζ24+ζ56−ζ8+ζ72−ζ8+ζ72ζ8−ζ72ζ8−ζ72−ζ24+ζ56−ζ24+ζ56ζ24−ζ56ζ24−ζ56−1−52−1−52−1+52−1+52000000000000
χ312222-2-222222222-220000-2-2-2-2-2-22222-2-22-2000000000000022-2-20000000000000000000022−2−222−2−20000
χ322222-2-222222222-220000-2-2-2-2-2-22222-2-22-2000000000000022-2-200000000000000000000−2−222−2−2220000
χ332222-2-222222222-220000-2-2-2-2-2-22222-2-2-220000000000000-2-2220000000000000000000022−2−2−2−2220000
χ342222-2-222222222-220000-2-2-2-2-2-22222-2-2-220000000000000-2-22200000000000000000000−2−22222−2−20000
χ35444444−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5-4-444-4-41−51−51+51+5−1+5−1−51−51−51+51+5−1+5−1−500−1+5−1+5−1−5−1−51−51−51+51+500000000000000000000000000000000000000000
χ36444444−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5-4-4-4-4441−51−51+51+5−1+5−1−51−51−51+51+5−1+5−1−5001−51−51+51+5−1+5−1+5−1−5−1−500000000000000000000000000000000000000000
χ37444444−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5-4-444-4-41+51+51−51−5−1−5−1+51+51+51−51−5−1−5−1+500−1−5−1−5−1+5−1+51+51+51−51−500000000000000000000000000000000000000000
χ38444444−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5-4-4-4-4441+51+51−51−5−1−5−1+51+51+51−51−5−1−5−1+5001+51+51−51−5−1−5−1−5−1+5−1+500000000000000000000000000000000000000000
χ394444-4-4444444444-400004444-4-4-4-4-4-4-4-4000000000000000000000000000000000000000000000000000
χ404444-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−54-40000−1+5−1+5−1−5−1−51−51+51−51−51+51+51−51+500000000000000000000000000000000000−2ζ44+2ζ762ζ44−2ζ762ζ12−2ζ28−2ζ12+2ζ28000000000000
χ414444-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−54-40000−1+5−1+5−1−5−1−51−51+51−51−51+51+51−51+5000000000000000000000000000000000002ζ44−2ζ76−2ζ44+2ζ76−2ζ12+2ζ282ζ12−2ζ28000000000000
χ424444-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5-4400001−51−51+51+51−51+5−1+5−1+5−1−5−1−51−51+54-40000000000000−1+5−1−51−51+500000000000000000000000000000000
χ434444-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5-4400001−51−51+51+51−51+5−1+5−1+5−1−5−1−51−51+5-4400000000000001−51+5−1+5−1−500000000000000000000000000000000
χ444444-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+54-40000−1−5−1−5−1+5−1+51+51−51+51+51−51−51+51−5000000000000000000000000000000000002ζ12−2ζ28−2ζ12+2ζ282ζ44−2ζ76−2ζ44+2ζ76000000000000
χ454444-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+54-40000−1−5−1−5−1+5−1+51+51−51+51+51−51−51+51−500000000000000000000000000000000000−2ζ12+2ζ282ζ12−2ζ28−2ζ44+2ζ762ζ44−2ζ76000000000000
χ464444-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5-4400001+51+51−51−51+51−5−1−5−1−5−1+5−1+51+51−54-40000000000000−1−5−1+51+51−500000000000000000000000000000000
χ474444-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5-4400001+51+51−51−51+51−5−1−5−1−5−1+5−1+51+51−5-4400000000000001+51−5−1−5−1+500000000000000000000000000000000
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χ524-44-44-444-44-44-4-40000000000440000-4-400000000000002-20000000000002-22-22-22-20000000000000000
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χ544-44-44-4−1+5−1−51−5−1+51+5−1−51−51+50000002ζ24−2ζ56−2ζ24+2ζ56−2ζ8+2ζ722ζ8−2ζ72−1+5−1−52ζ24−2ζ56−2ζ24+2ζ56−2ζ8+2ζ722ζ8−2ζ721−51+500000000000002-2000000000000−2ζ562ζ56−2ζ242ζ24−2ζ82ζ8−2ζ722ζ720000000000000000
χ554-44-44-4−1+5−1−51−5−1+51+5−1−51−51+50000002ζ24−2ζ56−2ζ24+2ζ56−2ζ8+2ζ722ζ8−2ζ72−1+5−1−52ζ24−2ζ56−2ζ24+2ζ56−2ζ8+2ζ722ζ8−2ζ721−51+50000000000000-220000000000002ζ56−2ζ562ζ24−2ζ242ζ8−2ζ82ζ72−2ζ720000000000000000
χ564-44-44-4−1+5−1−51−5−1+51+5−1−51−51+5000000−2ζ24+2ζ562ζ24−2ζ562ζ8−2ζ72−2ζ8+2ζ72−1+5−1−5−2ζ24+2ζ562ζ24−2ζ562ζ8−2ζ72−2ζ8+2ζ721−51+500000000000002-2000000000000−2ζ242ζ24−2ζ562ζ56−2ζ722ζ72−2ζ82ζ80000000000000000
χ574-44-44-4−1+5−1−51−5−1+51+5−1−51−51+5000000−2ζ24+2ζ562ζ24−2ζ562ζ8−2ζ72−2ζ8+2ζ72−1+5−1−5−2ζ24+2ζ562ζ24−2ζ562ζ8−2ζ72−2ζ8+2ζ721−51+50000000000000-220000000000002ζ24−2ζ242ζ56−2ζ562ζ72−2ζ722ζ8−2ζ80000000000000000
χ584-44-44-4−1−5−1+51+5−1−51−5−1+51+51−5000000−2ζ8+2ζ722ζ8−2ζ72−2ζ24+2ζ562ζ24−2ζ56−1−5−1+5−2ζ8+2ζ722ζ8−2ζ72−2ζ24+2ζ562ζ24−2ζ561+51−500000000000002-2000000000000−2ζ82ζ8−2ζ722ζ72−2ζ242ζ24−2ζ562ζ560000000000000000
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χ614-44-44-4−1−5−1+51+5−1−51−5−1+51+51−50000002ζ8−2ζ72−2ζ8+2ζ722ζ24−2ζ56−2ζ24+2ζ56−1−5−1+52ζ8−2ζ72−2ζ8+2ζ722ζ24−2ζ56−2ζ24+2ζ561+51−50000000000000-220000000000002ζ72−2ζ722ζ8−2ζ82ζ56−2ζ562ζ24−2ζ240000000000000000
χ624-44-4-4444-44-44-4-40000000000-4-400004400000000002i−2i00000002i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ634-44-4-4444-44-44-4-40000000000-4-40000440000000000−2i2i0000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ644-44-4-44−1+5−1−51−5−1+51+5−1−51−51+50000002ζ24−2ζ56−2ζ24+2ζ56−2ζ8+2ζ722ζ8−2ζ721−51+5−2ζ24+2ζ562ζ24−2ζ562ζ8−2ζ72−2ζ8+2ζ72−1+5−1−500000000002i−2i0000000−2ζ442ζ44−2ζ762ζ76−2ζ122ζ12−2ζ282ζ28000000000000000000000000
χ654-44-4-44−1+5−1−51−5−1+51+5−1−51−51+50000002ζ24−2ζ56−2ζ24+2ζ56−2ζ8+2ζ722ζ8−2ζ721−51+5−2ζ24+2ζ562ζ24−2ζ562ζ8−2ζ72−2ζ8+2ζ72−1+5−1−50000000000−2i2i00000002ζ44−2ζ442ζ76−2ζ762ζ12−2ζ122ζ28−2ζ28000000000000000000000000
χ664-44-4-44−1+5−1−51−5−1+51+5−1−51−51+5000000−2ζ24+2ζ562ζ24−2ζ562ζ8−2ζ72−2ζ8+2ζ721−51+52ζ24−2ζ56−2ζ24+2ζ56−2ζ8+2ζ722ζ8−2ζ72−1+5−1−500000000002i−2i0000000−2ζ762ζ76−2ζ442ζ44−2ζ282ζ28−2ζ122ζ12000000000000000000000000
χ674-44-4-44−1+5−1−51−5−1+51+5−1−51−51+5000000−2ζ24+2ζ562ζ24−2ζ562ζ8−2ζ72−2ζ8+2ζ721−51+52ζ24−2ζ56−2ζ24+2ζ56−2ζ8+2ζ722ζ8−2ζ72−1+5−1−50000000000−2i2i00000002ζ76−2ζ762ζ44−2ζ442ζ28−2ζ282ζ12−2ζ12000000000000000000000000
χ684-44-4-44−1−5−1+51+5−1−51−5−1+51+51−5000000−2ζ8+2ζ722ζ8−2ζ72−2ζ24+2ζ562ζ24−2ζ561+51−52ζ8−2ζ72−2ζ8+2ζ722ζ24−2ζ56−2ζ24+2ζ56−1−5−1+500000000002i−2i0000000−2ζ122ζ12−2ζ282ζ28−2ζ762ζ76−2ζ442ζ44000000000000000000000000
χ694-44-4-44−1−5−1+51+5−1−51−5−1+51+51−5000000−2ζ8+2ζ722ζ8−2ζ72−2ζ24+2ζ562ζ24−2ζ561+51−52ζ8−2ζ72−2ζ8+2ζ722ζ24−2ζ56−2ζ24+2ζ56−1−5−1+50000000000−2i2i00000002ζ12−2ζ122ζ28−2ζ282ζ76−2ζ762ζ44−2ζ44000000000000000000000000
χ704-44-4-44−1−5−1+51+5−1−51−5−1+51+51−50000002ζ8−2ζ72−2ζ8+2ζ722ζ24−2ζ56−2ζ24+2ζ561+51−5−2ζ8+2ζ722ζ8−2ζ72−2ζ24+2ζ562ζ24−2ζ56−1−5−1+500000000002i−2i0000000−2ζ282ζ28−2ζ122ζ12−2ζ442ζ44−2ζ762ζ76000000000000000000000000
χ714-44-4-44−1−5−1+51+5−1−51−5−1+51+51−50000002ζ8−2ζ72−2ζ8+2ζ722ζ24−2ζ56−2ζ24+2ζ561+51−5−2ζ8+2ζ722ζ8−2ζ72−2ζ24+2ζ562ζ24−2ζ56−1−5−1+50000000000−2i2i00000002ζ28−2ζ282ζ12−2ζ122ζ44−2ζ442ζ76−2ζ76000000000000000000000000
χ724-4-440044-4-4-4-444000022−2200000000000000000022−2222−2200000000000000000000000000000ζ9−ζ11+ζ13−ζ27+ζ29−ζ31+ζ41−ζ43−ζ47+ζ57−ζ59+ζ61−ζ63+ζ73+ζ77−ζ79−ζ9+ζ11−ζ13+ζ27−ζ29+ζ31−ζ41+ζ43+ζ47−ζ57+ζ59−ζ61+ζ63−ζ73−ζ77+ζ79−ζ9−ζ11+ζ13−ζ27+ζ29+ζ31−ζ41−ζ43+ζ47−ζ57−ζ59+ζ61+ζ63−ζ73+ζ77+ζ79ζ9+ζ11−ζ13+ζ27−ζ29−ζ31+ζ41+ζ43−ζ47+ζ57+ζ59−ζ61−ζ63+ζ73−ζ77−ζ7900000000
χ734-4-440044-4-4-4-444000022−2200000000000000000022−2222−2200000000000000000000000000000−ζ9+ζ11−ζ13+ζ27−ζ29+ζ31−ζ41+ζ43+ζ47−ζ57+ζ59−ζ61+ζ63−ζ73−ζ77+ζ79ζ9−ζ11+ζ13−ζ27+ζ29−ζ31+ζ41−ζ43−ζ47+ζ57−ζ59+ζ61−ζ63+ζ73+ζ77−ζ79ζ9+ζ11−ζ13+ζ27−ζ29−ζ31+ζ41+ζ43−ζ47+ζ57+ζ59−ζ61−ζ63+ζ73−ζ77−ζ79−ζ9−ζ11+ζ13−ζ27+ζ29+ζ31−ζ41−ζ43+ζ47−ζ57−ζ59+ζ61+ζ63−ζ73+ζ77+ζ7900000000
χ744-4-440044-4-4-4-4440000−2222000000000000000000−2222−222200000000000000000000000000000−ζ9−ζ11+ζ13−ζ27+ζ29+ζ31−ζ41−ζ43+ζ47−ζ57−ζ59+ζ61+ζ63−ζ73+ζ77+ζ79ζ9+ζ11−ζ13+ζ27−ζ29−ζ31+ζ41+ζ43−ζ47+ζ57+ζ59−ζ61−ζ63+ζ73−ζ77−ζ79−ζ9+ζ11−ζ13+ζ27−ζ29+ζ31−ζ41+ζ43+ζ47−ζ57+ζ59−ζ61+ζ63−ζ73−ζ77+ζ79ζ9−ζ11+ζ13−ζ27+ζ29−ζ31+ζ41−ζ43−ζ47+ζ57−ζ59+ζ61−ζ63+ζ73+ζ77−ζ7900000000
χ754-4-440044-4-4-4-4440000−2222000000000000000000−2222−222200000000000000000000000000000ζ9+ζ11−ζ13+ζ27−ζ29−ζ31+ζ41+ζ43−ζ47+ζ57+ζ59−ζ61−ζ63+ζ73−ζ77−ζ79−ζ9−ζ11+ζ13−ζ27+ζ29+ζ31−ζ41−ζ43+ζ47−ζ57−ζ59+ζ61+ζ63−ζ73+ζ77+ζ79ζ9−ζ11+ζ13−ζ27+ζ29−ζ31+ζ41−ζ43−ζ47+ζ57−ζ59+ζ61−ζ63+ζ73+ζ77−ζ79−ζ9+ζ11−ζ13+ζ27−ζ29+ζ31−ζ41+ζ43+ζ47−ζ57+ζ59−ζ61+ζ63−ζ73−ζ77+ζ7900000000
χ7688-8-800−2+25−2−25−2+252−25−2−252+252−252+250042−420000000000000000−2ζ14+2ζ26−2ζ46+2ζ742ζ14−2ζ26+2ζ46−2ζ742ζ42+2ζ58−2ζ62−2ζ78−2ζ42−2ζ58+2ζ62+2ζ78000000000000000000000000000000000000000000000
χ7788-8-800−2+25−2−25−2+252−25−2−252+252−252+2500−424200000000000000002ζ14−2ζ26+2ζ46−2ζ74−2ζ14+2ζ26−2ζ46+2ζ74−2ζ42−2ζ58+2ζ62+2ζ782ζ42+2ζ58−2ζ62−2ζ78000000000000000000000000000000000000000000000
χ7888-8-800−2−25−2+25−2−252+25−2+252−252+252−250042−4200000000000000002ζ42+2ζ58−2ζ62−2ζ78−2ζ42−2ζ58+2ζ62+2ζ78−2ζ14+2ζ26−2ζ46+2ζ742ζ14−2ζ26+2ζ46−2ζ74000000000000000000000000000000000000000000000
χ7988-8-800−2−25−2+25−2−252+25−2+252−252+252−2500−42420000000000000000−2ζ42−2ζ58+2ζ62+2ζ782ζ42+2ζ58−2ζ62−2ζ782ζ14−2ζ26+2ζ46−2ζ74−2ζ14+2ζ26−2ζ46+2ζ74000000000000000000000000000000000000000000000
χ808-8-8800−2+25−2−252−252−252+252+25−2+25−2−25000042−42000000000000000000−2ζ14+2ζ26−2ζ46+2ζ742ζ14−2ζ26+2ζ46−2ζ742ζ42+2ζ58−2ζ62−2ζ78−2ζ42−2ζ58+2ζ62+2ζ7800000000000000000000000000000000000000000
χ818-8-8800−2+25−2−252−252−252+252+25−2+25−2−250000−42420000000000000000002ζ14−2ζ26+2ζ46−2ζ74−2ζ14+2ζ26−2ζ46+2ζ74−2ζ42−2ζ58+2ζ62+2ζ782ζ42+2ζ58−2ζ62−2ζ7800000000000000000000000000000000000000000
χ828-8-8800−2−25−2+252+252+252−252−25−2−25−2+25000042−420000000000000000002ζ42+2ζ58−2ζ62−2ζ78−2ζ42−2ζ58+2ζ62+2ζ78−2ζ14+2ζ26−2ζ46+2ζ742ζ14−2ζ26+2ζ46−2ζ7400000000000000000000000000000000000000000
χ838-8-8800−2−25−2+252+252+252−252−25−2−25−2+250000−4242000000000000000000−2ζ42−2ζ58+2ζ62+2ζ782ζ42+2ζ58−2ζ62−2ζ782ζ14−2ζ26+2ζ46−2ζ74−2ζ14+2ζ26−2ζ46+2ζ7400000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 80 (ζ80 = 1); i = ζ20.