Finite Group Databasebeta

← Group #14522719

Character table — Group #14522719

Order 2000.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size1122224444888888888888888888888888888825252525252525252525505050505050505050505050100100100100125125125125
order125510105510105555555555555510101010101010101010101010102244448888202020204040404040404040101020208888
χ111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1ii−i−i-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i
χ41111111111111111111111111111111111111111-1-1-1-1−i−iii-1-1-1-1−i−i−i−iiiii11-1-1−i−iii
χ511111111111111111111111111111111111111-1-111-1-1ii−i−i-1-1-1-1iiii−i−i−i−i-1-111−i−iii
χ611111111111111111111111111111111111111-1-111-1-1−i−iii-1-1-1-1−i−i−i−iiiii-1-111ii−i−i
χ711111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1
χ811111111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ91-111-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1i−ii−i−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39ii−i−i−ζ13−ζ21−ζ29−ζ37−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37ζ13+ζ21+ζ29+ζ37−ζ7−ζ23−ζ31−ζ39−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39ζ7+ζ23+ζ31+ζ391-1i−i−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39
χ101-111-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1i−ii−iζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39ii−i−iζ13+ζ21+ζ29+ζ37ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37−ζ13−ζ21−ζ29−ζ37ζ7+ζ23+ζ31+ζ39ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39−ζ7−ζ23−ζ31−ζ391-1i−iζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39
χ111-111-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1−ii−ii−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37−i−iii−ζ7−ζ23−ζ31−ζ39−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39ζ7+ζ23+ζ31+ζ39−ζ13−ζ21−ζ29−ζ37−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37ζ13+ζ21+ζ29+ζ371-1−ii−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37
χ121-111-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1−ii−iiζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37−i−iiiζ7+ζ23+ζ31+ζ39ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39−ζ7−ζ23−ζ31−ζ39ζ13+ζ21+ζ29+ζ37ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37−ζ13−ζ21−ζ29−ζ371-1−iiζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37
χ131-111-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11i−i−ii−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37−i−iii−ζ7−ζ23−ζ31−ζ39−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39ζ7+ζ23+ζ31+ζ39−ζ13−ζ21−ζ29−ζ37−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37ζ13+ζ21+ζ29+ζ37-11i−iζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37
χ141-111-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11i−i−iiζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37−i−iiiζ7+ζ23+ζ31+ζ39ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39−ζ7−ζ23−ζ31−ζ39ζ13+ζ21+ζ29+ζ37ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37−ζ13−ζ21−ζ29−ζ37-11i−i−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37
χ151-111-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−iii−i−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39ii−i−i−ζ13−ζ21−ζ29−ζ37−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37ζ13+ζ21+ζ29+ζ37−ζ7−ζ23−ζ31−ζ39−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39ζ7+ζ23+ζ31+ζ39-11−iiζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39
χ161-111-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−iii−iζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39ii−i−iζ13+ζ21+ζ29+ζ37ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37−ζ13−ζ21−ζ29−ζ37ζ7+ζ23+ζ31+ζ39ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39−ζ7−ζ23−ζ31−ζ39-11−ii−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39
χ1722−1+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+52−1−52−1−52−1−52−1−52−1−52−1−520000222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000
χ1822−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52000022-2-2-2-2−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+5200000000
χ1922−1+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+52−1−52−1−52−1−52−1−52−1−52−1−520000-2-22i2i−2i−2i1−521+521−521+52−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ1400000000
χ2022−1+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+52−1−52−1−52−1−52−1−52−1−52−1−520000-2-2−2i−2i2i2i1−521+521−521+52ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ1400000000
χ2122−1−52−1+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+52−1+52−1+52−1+52−1+520000222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000
χ2222−1−52−1+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+52−1+52−1+52−1+52−1+52000022-2-2-2-2−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−5200000000
χ2322−1−52−1+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+52−1+52−1+52−1+52−1+520000-2-22i2i−2i−2i1+521−521+521−52−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ3800000000
χ2422−1−52−1+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+52−1+52−1+52−1+52−1+520000-2-2−2i−2i2i2i1+521−521+521−52ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ3800000000
χ252-2−1+52−1−521−521+5222-2-222−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52-2-21−521−521−521−521−521−521+521+521+521+521+521+5200002i−2i−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ13+ζ37ζ21+ζ29−ζ13−ζ37−ζ21−ζ29ζ7+ζ23ζ31+ζ39−ζ7−ζ23−ζ31−ζ3900000000
χ262-2−1+52−1−521−521+5222-2-222−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52-2-21−521−521−521−521−521−521+521+521+521+521+521+5200002i−2i2ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14−ζ13−ζ37−ζ21−ζ29ζ13+ζ37ζ21+ζ29−ζ7−ζ23−ζ31−ζ39ζ7+ζ23ζ31+ζ3900000000
χ272-2−1+52−1−521−521+5222-2-222−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52-2-21−521−521−521−521−521−521+521+521+521+521+521+520000−2i2i−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14ζ7+ζ23ζ31+ζ39−ζ7−ζ23−ζ31−ζ39ζ13+ζ37ζ21+ζ29−ζ13−ζ37−ζ21−ζ2900000000
χ282-2−1+52−1−521−521+5222-2-222−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52-2-21−521−521−521−521−521−521+521+521+521+521+521+520000−2i2i2ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ7−ζ23−ζ31−ζ39ζ7+ζ23ζ31+ζ39−ζ13−ζ37−ζ21−ζ29ζ13+ζ37ζ21+ζ2900000000
χ292-2−1−52−1+521+521−5222-2-222−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52-2-21+521+521+521+521+521+521−521−521−521−521−521−5200002i−2i−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ21+ζ29ζ13+ζ37−ζ21−ζ29−ζ13−ζ37ζ31+ζ39ζ7+ζ23−ζ31−ζ39−ζ7−ζ2300000000
χ302-2−1−52−1+521+521−5222-2-222−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52-2-21+521+521+521+521+521+521−521−521−521−521−521−5200002i−2i2ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38−ζ21−ζ29−ζ13−ζ37ζ21+ζ29ζ13+ζ37−ζ31−ζ39−ζ7−ζ23ζ31+ζ39ζ7+ζ2300000000
χ312-2−1−52−1+521+521−5222-2-222−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52-2-21+521+521+521+521+521+521−521−521−521−521−521−520000−2i2i−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38ζ31+ζ39ζ7+ζ23−ζ31−ζ39−ζ7−ζ23ζ21+ζ29ζ13+ζ37−ζ21−ζ29−ζ13−ζ3700000000
χ322-2−1−52−1+521+521−5222-2-222−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52-2-21+521+521+521+521+521+521−521−521−521−521−521−520000−2i2i2ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ31−ζ39−ζ7−ζ23ζ31+ζ39ζ7+ζ23−ζ21−ζ29−ζ13−ζ37ζ21+ζ29ζ13+ζ3700000000
χ334444444-1-14-1-14-1-1-1-1-14-1-1-1-1-1-1-14-1-1-1-1-14-1-1-1-1-14400000000000000000000-1-1000000
χ344444444-1-14-1-14-1-1-1-1-14-1-1-1-1-1-1-14-1-1-1-1-14-1-1-1-1-1-4-40000000000000000000011000000
χ35444444-144-1-1-1-14-1-1-1-1-14-1-1-1-1-1-1-14-1-1-1-1-14-1-1-1-1004400000000000000000000-1-10000
χ36444444-144-1-1-1-14-1-1-1-1-14-1-1-1-1-1-1-14-1-1-1-1-14-1-1-1-100-4-400000000000000000000110000
χ374-444-4-44-11-4-1-14-1-1-1-1-14-1-1-1-1-111-411111-4111114-400000000000000000000-11000000
χ384-444-4-44-11-4-1-14-1-1-1-1-14-1-1-1-1-111-411111-411111-44000000000000000000001-1000000
χ394-444-4-4-14-41-1-1-14-1-1-1-1-14-1-1-1-1111-411111-41111004i−4i00000000000000000000−ii0000
χ404-444-4-4-14-41-1-1-14-1-1-1-1-14-1-1-1-1111-411111-4111100−4i4i00000000000000000000i−i0000
χ41888888-2-2-2-23-2-2-233-2-2-2-233-2-23-2-2-233-2-2-2-233-2-2000000000000000000000000000000
χ42888888-2-2-2-2-23-2-2-2-233-2-2-2-233-23-2-2-2-233-2-2-2-233000000000000000000000000000000
χ4388−2+25−2−25−2+25−2−258-2-28-2-2−2+251−521−521−521−521−52−2−251+521+521+521+521+52-2-2−2+251−521−521−521−521−52−2−251+521+521+521+521+52000000000000000000000000000000
χ4488−2+25−2−25−2+25−2−25-288-2-2-21−52−2+251−521−521−521−521+52−2−251+521+521+521+52-2-21−52−2+251−521−521−521−521+52−2−251+521+521+521+52000000000000000000000000000000
χ4588−2+25−2−25−2+25−2−25-2-2-2-23-21−521−52ζ4−ζ12−2ζ28−ζ36−ζ4−2ζ12−ζ28+ζ36−2ζ4+2ζ28+2ζ362ζ4+2ζ12−2ζ361+521+52−2ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28−2ζ362ζ12−2ζ28+2ζ362ζ4−2ζ12+2ζ283-21−521−52ζ4−ζ12−2ζ28−ζ36−ζ4−2ζ12−ζ28+ζ36−2ζ4+2ζ28+2ζ362ζ4+2ζ12−2ζ361+521+52−2ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28−2ζ362ζ12−2ζ28+2ζ362ζ4−2ζ12+2ζ28000000000000000000000000000000
χ4688−2+25−2−25−2+25−2−25-2-2-2-23-21−521−52−ζ4−2ζ12−ζ28+ζ36ζ4−ζ12−2ζ28−ζ362ζ4+2ζ12−2ζ36−2ζ4+2ζ28+2ζ361+521+52−ζ4−ζ12+ζ28−2ζ36−2ζ4+ζ12−ζ28−ζ362ζ4−2ζ12+2ζ282ζ12−2ζ28+2ζ363-21−521−52−ζ4−2ζ12−ζ28+ζ36ζ4−ζ12−2ζ28−ζ362ζ4+2ζ12−2ζ36−2ζ4+2ζ28+2ζ361+521+52−ζ4−ζ12+ζ28−2ζ36−2ζ4+ζ12−ζ28−ζ362ζ4−2ζ12+2ζ282ζ12−2ζ28+2ζ36000000000000000000000000000000
χ4788−2+25−2−25−2+25−2−25-2-2-2-2-231−521−52−2ζ4+2ζ28+2ζ362ζ4+2ζ12−2ζ36−ζ4−2ζ12−ζ28+ζ36ζ4−ζ12−2ζ28−ζ361+521+522ζ4−2ζ12+2ζ282ζ12−2ζ28+2ζ36−2ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28−2ζ36-231−521−52−2ζ4+2ζ28+2ζ362ζ4+2ζ12−2ζ36−ζ4−2ζ12−ζ28+ζ36ζ4−ζ12−2ζ28−ζ361+521+522ζ4−2ζ12+2ζ282ζ12−2ζ28+2ζ36−2ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28−2ζ36000000000000000000000000000000
χ4888−2+25−2−25−2+25−2−25-2-2-2-2-231−521−522ζ4+2ζ12−2ζ36−2ζ4+2ζ28+2ζ36ζ4−ζ12−2ζ28−ζ36−ζ4−2ζ12−ζ28+ζ361+521+522ζ12−2ζ28+2ζ362ζ4−2ζ12+2ζ28−ζ4−ζ12+ζ28−2ζ36−2ζ4+ζ12−ζ28−ζ36-231−521−522ζ4+2ζ12−2ζ36−2ζ4+2ζ28+2ζ36ζ4−ζ12−2ζ28−ζ36−ζ4−2ζ12−ζ28+ζ361+521+522ζ12−2ζ28+2ζ362ζ4−2ζ12+2ζ28−ζ4−ζ12+ζ28−2ζ36−2ζ4+ζ12−ζ28−ζ36000000000000000000000000000000
χ4988−2−25−2+25−2−25−2+258-2-28-2-2−2−251+521+521+521+521+52−2+251−521−521−521−521−52-2-2−2−251+521+521+521+521+52−2+251−521−521−521−521−52000000000000000000000000000000
χ5088−2−25−2+25−2−25−2+25-288-2-2-21+52−2−251+521+521+521+521−52−2+251−521−521−521−52-2-21+52−2−251+521+521+521+521−52−2+251−521−521−521−52000000000000000000000000000000
χ5188−2−25−2+25−2−25−2+25-2-2-2-23-21+521+52−2ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28−2ζ362ζ4−2ζ12+2ζ282ζ12−2ζ28+2ζ361−521−52−ζ4−2ζ12−ζ28+ζ36ζ4−ζ12−2ζ28−ζ36−2ζ4+2ζ28+2ζ362ζ4+2ζ12−2ζ363-21+521+52−2ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28−2ζ362ζ4−2ζ12+2ζ282ζ12−2ζ28+2ζ361−521−52−ζ4−2ζ12−ζ28+ζ36ζ4−ζ12−2ζ28−ζ36−2ζ4+2ζ28+2ζ362ζ4+2ζ12−2ζ36000000000000000000000000000000
χ5288−2−25−2+25−2−25−2+25-2-2-2-23-21+521+52−ζ4−ζ12+ζ28−2ζ36−2ζ4+ζ12−ζ28−ζ362ζ12−2ζ28+2ζ362ζ4−2ζ12+2ζ281−521−52ζ4−ζ12−2ζ28−ζ36−ζ4−2ζ12−ζ28+ζ362ζ4+2ζ12−2ζ36−2ζ4+2ζ28+2ζ363-21+521+52−ζ4−ζ12+ζ28−2ζ36−2ζ4+ζ12−ζ28−ζ362ζ12−2ζ28+2ζ362ζ4−2ζ12+2ζ281−521−52ζ4−ζ12−2ζ28−ζ36−ζ4−2ζ12−ζ28+ζ362ζ4+2ζ12−2ζ36−2ζ4+2ζ28+2ζ36000000000000000000000000000000
χ5388−2−25−2+25−2−25−2+25-2-2-2-2-231+521+522ζ12−2ζ28+2ζ362ζ4−2ζ12+2ζ28−2ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28−2ζ361−521−52−2ζ4+2ζ28+2ζ362ζ4+2ζ12−2ζ36ζ4−ζ12−2ζ28−ζ36−ζ4−2ζ12−ζ28+ζ36-231+521+522ζ12−2ζ28+2ζ362ζ4−2ζ12+2ζ28−2ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28−2ζ361−521−52−2ζ4+2ζ28+2ζ362ζ4+2ζ12−2ζ36ζ4−ζ12−2ζ28−ζ36−ζ4−2ζ12−ζ28+ζ36000000000000000000000000000000
χ5488−2−25−2+25−2−25−2+25-2-2-2-2-231+521+522ζ4−2ζ12+2ζ282ζ12−2ζ28+2ζ36−ζ4−ζ12+ζ28−2ζ36−2ζ4+ζ12−ζ28−ζ361−521−522ζ4+2ζ12−2ζ36−2ζ4+2ζ28+2ζ36−ζ4−2ζ12−ζ28+ζ36ζ4−ζ12−2ζ28−ζ36-231+521+522ζ4−2ζ12+2ζ282ζ12−2ζ28+2ζ36−ζ4−ζ12+ζ28−2ζ36−2ζ4+ζ12−ζ28−ζ361−521−522ζ4+2ζ12−2ζ36−2ζ4+2ζ28+2ζ36−ζ4−2ζ12−ζ28+ζ36ζ4−ζ12−2ζ28−ζ36000000000000000000000000000000
χ558-888-8-8-2-2223-2-2-233-2-2-2-233-2-2-3222-3-32222-3-322000000000000000000000000000000
χ568-888-8-8-2-222-23-2-2-2-233-2-2-2-2332-32222-3-32222-3-3000000000000000000000000000000
χ578-8−2+25−2−252−252+258-22-8-2-2−2+251−521−521−521−521−52−2−251+521+521+521+521+52222−25−1+52−1+52−1+52−1+52−1+522+25−1−52−1−52−1−52−1−52−1−52000000000000000000000000000000
χ588-8−2+25−2−252−252+25-28-82-2-21−52−2+251−521−521−521−521+52−2−251+521+521+521+5222−1+522−25−1+52−1+52−1+52−1+52−1−522+25−1−52−1−52−1−52−1−52000000000000000000000000000000
χ598-8−2+25−2−252−252+25-2-2223-21−521−52ζ4−ζ12−2ζ28−ζ36−ζ4−2ζ12−ζ28+ζ36−2ζ4+2ζ28+2ζ362ζ4+2ζ12−2ζ361+521+52−2ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28−2ζ362ζ12−2ζ28+2ζ362ζ4−2ζ12+2ζ28-32−1+52−1+52−ζ4+ζ12+2ζ28+ζ36ζ4+2ζ12+ζ28−ζ362ζ4−2ζ28−2ζ36−2ζ4−2ζ12+2ζ36−1−52−1−522ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28+2ζ36−2ζ12+2ζ28−2ζ36−2ζ4+2ζ12−2ζ28000000000000000000000000000000
χ608-8−2+25−2−252−252+25-2-2223-21−521−52−ζ4−2ζ12−ζ28+ζ36ζ4−ζ12−2ζ28−ζ362ζ4+2ζ12−2ζ36−2ζ4+2ζ28+2ζ361+521+52−ζ4−ζ12+ζ28−2ζ36−2ζ4+ζ12−ζ28−ζ362ζ4−2ζ12+2ζ282ζ12−2ζ28+2ζ36-32−1+52−1+52ζ4+2ζ12+ζ28−ζ36−ζ4+ζ12+2ζ28+ζ36−2ζ4−2ζ12+2ζ362ζ4−2ζ28−2ζ36−1−52−1−52ζ4+ζ12−ζ28+2ζ362ζ4−ζ12+ζ28+ζ36−2ζ4+2ζ12−2ζ28−2ζ12+2ζ28−2ζ36000000000000000000000000000000
χ618-8−2+25−2−252−252+25-2-222-231−521−52−2ζ4+2ζ28+2ζ362ζ4+2ζ12−2ζ36−ζ4−2ζ12−ζ28+ζ36ζ4−ζ12−2ζ28−ζ361+521+522ζ4−2ζ12+2ζ282ζ12−2ζ28+2ζ36−2ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28−2ζ362-3−1+52−1+522ζ4−2ζ28−2ζ36−2ζ4−2ζ12+2ζ36ζ4+2ζ12+ζ28−ζ36−ζ4+ζ12+2ζ28+ζ36−1−52−1−52−2ζ4+2ζ12−2ζ28−2ζ12+2ζ28−2ζ362ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28+2ζ36000000000000000000000000000000
χ628-8−2+25−2−252−252+25-2-222-231−521−522ζ4+2ζ12−2ζ36−2ζ4+2ζ28+2ζ36ζ4−ζ12−2ζ28−ζ36−ζ4−2ζ12−ζ28+ζ361+521+522ζ12−2ζ28+2ζ362ζ4−2ζ12+2ζ28−ζ4−ζ12+ζ28−2ζ36−2ζ4+ζ12−ζ28−ζ362-3−1+52−1+52−2ζ4−2ζ12+2ζ362ζ4−2ζ28−2ζ36−ζ4+ζ12+2ζ28+ζ36ζ4+2ζ12+ζ28−ζ36−1−52−1−52−2ζ12+2ζ28−2ζ36−2ζ4+2ζ12−2ζ28ζ4+ζ12−ζ28+2ζ362ζ4−ζ12+ζ28+ζ36000000000000000000000000000000
χ638-8−2−25−2+252+252−258-22-8-2-2−2−251+521+521+521+521+52−2+251−521−521−521−521−52222+25−1−52−1−52−1−52−1−52−1−522−25−1+52−1+52−1+52−1+52−1+52000000000000000000000000000000
χ648-8−2−25−2+252+252−25-28-82-2-21+52−2−251+521+521+521+521−52−2+251−521−521−521−5222−1−522+25−1−52−1−52−1−52−1−52−1+522−25−1+52−1+52−1+52−1+52000000000000000000000000000000
χ658-8−2−25−2+252+252−25-2-2223-21+521+52−2ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28−2ζ362ζ4−2ζ12+2ζ282ζ12−2ζ28+2ζ361−521−52−ζ4−2ζ12−ζ28+ζ36ζ4−ζ12−2ζ28−ζ36−2ζ4+2ζ28+2ζ362ζ4+2ζ12−2ζ36-32−1−52−1−522ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28+2ζ36−2ζ4+2ζ12−2ζ28−2ζ12+2ζ28−2ζ36−1+52−1+52ζ4+2ζ12+ζ28−ζ36−ζ4+ζ12+2ζ28+ζ362ζ4−2ζ28−2ζ36−2ζ4−2ζ12+2ζ36000000000000000000000000000000
χ668-8−2−25−2+252+252−25-2-2223-21+521+52−ζ4−ζ12+ζ28−2ζ36−2ζ4+ζ12−ζ28−ζ362ζ12−2ζ28+2ζ362ζ4−2ζ12+2ζ281−521−52ζ4−ζ12−2ζ28−ζ36−ζ4−2ζ12−ζ28+ζ362ζ4+2ζ12−2ζ36−2ζ4+2ζ28+2ζ36-32−1−52−1−52ζ4+ζ12−ζ28+2ζ362ζ4−ζ12+ζ28+ζ36−2ζ12+2ζ28−2ζ36−2ζ4+2ζ12−2ζ28−1+52−1+52−ζ4+ζ12+2ζ28+ζ36ζ4+2ζ12+ζ28−ζ36−2ζ4−2ζ12+2ζ362ζ4−2ζ28−2ζ36000000000000000000000000000000
χ678-8−2−25−2+252+252−25-2-222-231+521+522ζ12−2ζ28+2ζ362ζ4−2ζ12+2ζ28−2ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28−2ζ361−521−52−2ζ4+2ζ28+2ζ362ζ4+2ζ12−2ζ36ζ4−ζ12−2ζ28−ζ36−ζ4−2ζ12−ζ28+ζ362-3−1−52−1−52−2ζ12+2ζ28−2ζ36−2ζ4+2ζ12−2ζ282ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28+2ζ36−1+52−1+522ζ4−2ζ28−2ζ36−2ζ4−2ζ12+2ζ36−ζ4+ζ12+2ζ28+ζ36ζ4+2ζ12+ζ28−ζ36000000000000000000000000000000
χ688-8−2−25−2+252+252−25-2-222-231+521+522ζ4−2ζ12+2ζ282ζ12−2ζ28+2ζ36−ζ4−ζ12+ζ28−2ζ36−2ζ4+ζ12−ζ28−ζ361−521−522ζ4+2ζ12−2ζ36−2ζ4+2ζ28+2ζ36−ζ4−2ζ12−ζ28+ζ36ζ4−ζ12−2ζ28−ζ362-3−1−52−1−52−2ζ4+2ζ12−2ζ28−2ζ12+2ζ28−2ζ36ζ4+ζ12−ζ28+2ζ362ζ4−ζ12+ζ28+ζ36−1+52−1+52−2ζ4−2ζ12+2ζ362ζ4−2ζ28−2ζ36ζ4+2ζ12+ζ28−ζ36−ζ4+ζ12+2ζ28+ζ36000000000000000000000000000000

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