Finite Group Databasebeta

← Group #12254183

Character table — Group #12254183

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size112222222444444444444888888888888881616161616161616162020404040404080112222222444444444444888888888888881616161616161616162020404040404080
order122445510108810102020202040404040881616404080808080808080802101010104040404024888161642224410101010881010202020204040404088161640408080808080808080210101010404040402488816164
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1
χ411111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111
χ5111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1111-1-111-1111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1111-1-111-1
χ6111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11
χ7111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-1-1111-1-1-1-11111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-1-1111-1-1-1-11
χ8111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-11111-1111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-11111-1
χ9222222222-2-2222222-2-2-2-20000-2-20000000000000000022-200000222222222-2-2222222-2-2-2-20000-2-20000000000000000022-200000
χ10222222222-2-2222222-2-2-2-20000-2-200000000000000000-2-2200000222222222-2-2222222-2-2-2-20000-2-200000000000000000-2-2200000
χ1122222−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000022222−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000
χ1222222−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-2-2−1+52−1−521−521−521−521−521+521+521+521+52-21−521−521+521+52−1+52−1+52−1−52−1−520000000022222−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-2-2−1+52−1−521−521−521−521−521+521+521+521+52-21−521−521+521+52−1+52−1+52−1−52−1−5200000000
χ1322222−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-21−521−521+521+521−521−521+521+520000000022222−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-21−521−521+521+521−521−521+521+5200000000
χ1422222−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1−521−521−521−521−521+521+521+521+522−1+52−1+52−1−52−1−521−521−521+521+520000000022222−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1−521−521−521−521−521+521+521+521+522−1+52−1+52−1−52−1−521−521−521+521+5200000000
χ1522222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000022222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000
χ1622222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222-2-2−1−52−1+521+521+521+521+521−521−521−521−52-21+521+521−521−52−1−52−1−52−1+52−1+520000000022222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222-2-2−1−52−1+521+521+521+521+521−521−521−521−52-21+521+521−521−52−1−52−1−52−1+52−1+5200000000
χ1722222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-21+521+521−521−521+521+521−521−520000000022222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-21+521+521−521−521+521+521−521−5200000000
χ1822222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1+521+521+521+521+521−521−521−521−522−1−52−1−52−1+52−1+521+521+521−521−520000000022222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1+521+521+521+521+521−521−521−521−522−1−52−1−52−1+52−1+521+521+521−521−5200000000
χ19222-2-222220022-2-2-2-2000000i2−i200i2i2−i2−i2i2i2−i2−i20000000002-2000i2−i20222-2-222220022-2-2-2-2000000i2−i200i2i2−i2−i2i2i2−i2−i20000000002-2000i2−i20
χ20222-2-222220022-2-2-2-2000000i2−i200i2i2−i2−i2i2i2−i2−i2000000000-22000−i2i20222-2-222220022-2-2-2-2000000i2−i200i2i2−i2−i2i2i2−i2−i2000000000-22000−i2i20
χ21222-2-222220022-2-2-2-2000000−i2i200−i2−i2i2i2−i2−i2i2i20000000002-2000−i2i20222-2-222220022-2-2-2-2000000−i2i200−i2−i2i2i2−i2−i2i2i20000000002-2000−i2i20
χ22222-2-222220022-2-2-2-2000000−i2i200−i2−i2i2i2−i2−i2i2i2000000000-22000i2−i20222-2-222220022-2-2-2-2000000−i2i200−i2−i2i2i2−i2−i2i2i2000000000-22000i2−i20
χ2322-22-222222-2-2-222-2-222220000-2-2000000000000000000002i−2i00022-22-222222-2-2-222-2-222220000-2-2000000000000000000002i−2i000
χ2422-22-222222-2-2-222-2-222220000-2-200000000000000000000−2i2i00022-22-222222-2-2-222-2-222220000-2-200000000000000000000−2i2i000
χ2522-22-22222-22-2-222-2-2-2-2-2-22i−2i002200000000000002i−2i2i−2i0000000022-22-22222-22-2-222-2-2-2-2-2-22i−2i002200000000000002i−2i2i−2i00000000
χ2622-22-22222-22-2-222-2-2-2-2-2-2−2i2i00220000000000000−2i2i−2i2i0000000022-22-22222-22-2-222-2-2-2-2-2-2−2i2i00220000000000000−2i2i−2i2i00000000
χ2722-22-2−1+52−1−52−1+52−1−52-221−521+52−1+52−1−521−521+521−521−521+521+522i−2i00−1+52−1−52−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ140ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ140000000022-22-2−1+52−1−52−1+52−1−52-221−521+52−1+52−1−521−521+521−521−521+521+522i−2i00−1+52−1−52−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ140ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ1400000000
χ2822-22-2−1+52−1−52−1+52−1−52-221−521+52−1+52−1−521−521+521−521−521+521+522i−2i00−1+52−1−52ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ140−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ140000000022-22-2−1+52−1−52−1+52−1−52-221−521+52−1+52−1−521−521+521−521−521+521+522i−2i00−1+52−1−52ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ140−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ1400000000
χ2922-22-2−1+52−1−52−1+52−1−52-221−521+52−1+52−1−521−521+521−521−521+521+52−2i2i00−1+52−1−52−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ140−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ140000000022-22-2−1+52−1−52−1+52−1−52-221−521+52−1+52−1−521−521+521−521−521+521+52−2i2i00−1+52−1−52−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ140−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ1400000000
χ3022-22-2−1+52−1−52−1+52−1−52-221−521+52−1+52−1−521−521+521−521−521+521+52−2i2i00−1+52−1−52ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ140ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ140000000022-22-2−1+52−1−52−1+52−1−52-221−521+52−1+52−1−521−521+521−521−521+521+52−2i2i00−1+52−1−52ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ140ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ1400000000
χ3122-22-2−1−52−1+52−1−52−1+52-221+521−52−1−52−1+521+521−521+521+521−521−522i−2i00−1−52−1+52ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ380ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ380000000022-22-2−1−52−1+52−1−52−1+52-221+521−52−1−52−1+521+521−521+521+521−521−522i−2i00−1−52−1+52ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ380ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ3800000000
χ3222-22-2−1−52−1+52−1−52−1+52-221+521−52−1−52−1+521+521−521+521+521−521−522i−2i00−1−52−1+52−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ380−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ380000000022-22-2−1−52−1+52−1−52−1+52-221+521−52−1−52−1+521+521−521+521+521−521−522i−2i00−1−52−1+52−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ380−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ3800000000
χ3322-22-2−1−52−1+52−1−52−1+52-221+521−52−1−52−1+521+521−521+521+521−521−52−2i2i00−1−52−1+52ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ380−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ380000000022-22-2−1−52−1+52−1−52−1+52-221+521−52−1−52−1+521+521−521+521+521−521−52−2i2i00−1−52−1+52ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ380−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ3800000000
χ3422-22-2−1−52−1+52−1−52−1+52-221+521−52−1−52−1+521+521−521+521+521−521−52−2i2i00−1−52−1+52−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ380ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ380000000022-22-2−1−52−1+52−1−52−1+52-221+521−52−1−52−1+521+521−521+521+521−521−52−2i2i00−1−52−1+52−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ380ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ3800000000
χ3544444−1+5−1−5−1+5−1−5-4-4−1+5−1−5−1+5−1−5−1+5−1−51−51−51+51+500001−51+5000000000000000000000000044444−1+5−1−5−1+5−1−5-4-4−1+5−1−5−1+5−1−5−1+5−1−51−51−51+51+500001−51+50000000000000000000000000
χ3644444−1−5−1+5−1−5−1+5-4-4−1−5−1+5−1−5−1+5−1−5−1+51+51+51−51−500001+51−5000000000000000000000000044444−1−5−1+5−1−5−1+5-4-4−1−5−1+5−1−5−1+5−1−5−1+51+51+51−51−500001+51−50000000000000000000000000
χ37444-4-4−1+5−1−5−1+5−1−500−1+5−1−51−51+51−51+50000002i2−2i200ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ3900000000000000000444-4-4−1+5−1−5−1+5−1−500−1+5−1−51−51+51−51+50000002i2−2i200ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ3900000000000000000
χ38444-4-4−1+5−1−5−1+5−1−500−1+5−1−51−51+51−51+5000000−2i22i200−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ3900000000000000000444-4-4−1+5−1−5−1+5−1−500−1+5−1−51−51+51−51+5000000−2i22i200−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ3900000000000000000
χ39444-4-4−1−5−1+5−1−5−1+500−1−5−1+51+51−51+51−50000002i2−2i200ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ3700000000000000000444-4-4−1−5−1+5−1−5−1+500−1−5−1+51+51−51+51−50000002i2−2i200ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ3700000000000000000
χ40444-4-4−1−5−1+5−1−5−1+500−1−5−1+51+51−51+51−5000000−2i22i200−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ3700000000000000000444-4-4−1−5−1+5−1−5−1+500−1−5−1+51+51−51+51−5000000−2i22i200−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ3700000000000000000
χ4144-44-4−1+5−1−5−1+5−1−54-41−51+5−1+5−1−51−51+5−1+5−1+5−1−5−1−500001−51+5000000000000000000000000044-44-4−1+5−1−5−1+5−1−54-41−51+5−1+5−1−51−51+5−1+5−1+5−1−5−1−500001−51+50000000000000000000000000
χ4244-44-4−1−5−1+5−1−5−1+54-41+51−5−1−5−1+51+51−5−1−5−1−5−1+5−1+500001+51−5000000000000000000000000044-44-4−1−5−1+5−1−5−1+54-41+51−5−1−5−1+51+51−5−1−5−1−5−1+5−1+500001+51−50000000000000000000000000
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χ89444-4-4−1+5−1−5−1+5−1−500−1+5−1−51−51+51−51+50000002i2−2i200ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ3900000000000000000-4-4-4441−51+51−51+5001−51+5−1+5−1−5−1+5−1−5000000−2i22i200−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ3900000000000000000
χ90444-4-4−1+5−1−5−1+5−1−500−1+5−1−51−51+51−51+5000000−2i22i200−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ3900000000000000000-4-4-4441−51+51−51+5001−51+5−1+5−1−5−1+5−1−50000002i2−2i200ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ3900000000000000000
χ91444-4-4−1−5−1+5−1−5−1+500−1−5−1+51+51−51+51−50000002i2−2i200ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ3700000000000000000-4-4-4441+51−51+51−5001+51−5−1−5−1+5−1−5−1+5000000−2i22i200−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ3700000000000000000
χ92444-4-4−1−5−1+5−1−5−1+500−1−5−1+51+51−51+51−5000000−2i22i200−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ3700000000000000000-4-4-4441+51−51+51−5001+51−5−1−5−1+5−1−5−1+50000002i2−2i200ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ3700000000000000000
χ9344-44-4−1+5−1−5−1+5−1−54-41−51+5−1+5−1−51−51+5−1+5−1+5−1−5−1−500001−51+50000000000000000000000000-4-44-441−51+51−51+5-44−1+5−1−51−51+5−1+5−1−51−51−51+51+50000−1+5−1−50000000000000000000000000
χ9444-44-4−1−5−1+5−1−5−1+54-41+51−5−1−5−1+51+51−5−1−5−1−5−1+5−1+500001+51−50000000000000000000000000-4-44-441+51−51+51−5-44−1−5−1+51+51−5−1−5−1+51+51+51−51−50000−1−5−1+50000000000000000000000000
χ9544-4-44444400-4-4-4-44400000000000000000000000000000000000-4-444-4-4-4-4-4004444-4-400000000000000000000000000000000000
χ9644-4-44−1+5−1−5−1+5−1−5001−51+51−51+5−1+5−1−50000000000−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ3900000000000000000-4-444-41−51+51−51+500−1+5−1−5−1+5−1−51−51+50000000000ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ3900000000000000000
χ9744-4-44−1+5−1−5−1+5−1−5001−51+51−51+5−1+5−1−50000000000ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ3900000000000000000-4-444-41−51+51−51+500−1+5−1−5−1+5−1−51−51+50000000000−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ3900000000000000000
χ9844-4-44−1−5−1+5−1−5−1+5001+51−51+51−5−1−5−1+50000000000−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ3700000000000000000-4-444-41+51−51+51−500−1−5−1+5−1−5−1+51+51−50000000000ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ3700000000000000000
χ9944-4-44−1−5−1+5−1−5−1+5001+51−51+51−5−1−5−1+50000000000ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ3700000000000000000-4-444-41+51−51+51−500−1−5−1+5−1−5−1+51+51−50000000000−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ3700000000000000000
χ1008-800088-8-80000000000000000000000000000000000000000000-88000-8-8880000000000000000000000000000000000000000000
χ1018-8000−2+25−2−252−252+2500000000−2ζ7−2ζ13+2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ37−2ζ21+2ζ29+2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ390000000000000000000000000000000-880002−252+25−2+25−2−25000000002ζ7+2ζ13−2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ372ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ390000000000000000000000000000000
χ1028-8000−2+25−2−252−252+25000000002ζ7+2ζ13−2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ372ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ390000000000000000000000000000000-880002−252+25−2+25−2−2500000000−2ζ7−2ζ13+2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ37−2ζ21+2ζ29+2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ390000000000000000000000000000000
χ1038-8000−2−25−2+252+252−2500000000−2ζ21+2ζ29+2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ392ζ7+2ζ13−2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ370000000000000000000000000000000-880002+252−25−2−25−2+25000000002ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ39−2ζ7−2ζ13+2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ370000000000000000000000000000000
χ1048-8000−2−25−2+252+252−25000000002ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ39−2ζ7−2ζ13+2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ370000000000000000000000000000000-880002+252−25−2−25−2+2500000000−2ζ21+2ζ29+2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ392ζ7+2ζ13−2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ370000000000000000000000000000000

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