Finite Group Databasebeta

← Group #14522740

Character table — Group #14522740

Order 2000.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size112222222244444444445588888888888888888888888810101010101010102020202020202020505050505050505050505050505050505050505050100100250
order125555101010105555510101010104455555555555510101010101010101010101020202020202020202020202020202020288884040404040404040404040404040404010104
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ311111111111111111111111111111111111111111111111111111111111111-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1
χ511111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11i−ii−iiiii−i−i−i−iiiii−i−i−i−i11-1
χ611111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−ii−ii−i−i−i−iiiii−i−i−i−iiiii11-1
χ711111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−i−iiiiii−i−i−i−i−i−i−i−iiiii-1-11
χ811111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−iii−i−i−i−i−iiiiiiiii−i−i−i−i-1-11
χ92222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−522222−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−5222−1+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+52−1−52−1−52−1−52−1−520002200000000−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000
χ102222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−522222−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−5222−1+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+52−1−52−1−52−1−52−1−52000-2-2000000001−521−521+521+521−521−521+521+52000
χ112222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−52-2-222−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−5222−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52-2-2-2-21−521−521+521+521−521−521−521−521+521+521+521+520002i−2i00000000−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14000
χ122222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−52-2-222−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−5222−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52-2-2-2-21−521−521+521+521−521−521−521−521+521+521+521+52000−2i2i00000000ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14000
χ132222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+522222−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+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+52−1+52−1+520002200000000−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000
χ142222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+522222−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+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+52−1+52−1+52000-2-2000000001+521+521−521−521+521+521−521−52000
χ152222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+52-2-222−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+5222−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52-2-2-2-21+521+521−521−521+521+521+521+521−521−521−521−520002i−2i00000000−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38000
χ162222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+52-2-222−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+5222−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52-2-2-2-21+521+521−521−521+521+521+521+521−521−521−521−52000−2i2i00000000ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38000
χ1722−1+52−1−5222−1+52−1−5222−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−5222−1+52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1−522−1+52−1+52−1−52−1−522−1+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+52−1−52−1−5202200−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000
χ1822−1+52−1−5222−1+52−1−5222−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−5222−1+52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1−522−1+52−1+52−1−52−1−522−1+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+52−1−52−1−520-2-2001−521−521+521+521−521−521+521+5200000000000
χ1922−1+52−1−5222−1+52−1−5222−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52-2-2−1+52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−521−521−521+521+52-2-2-2-21−521−521+521+521−521−521+521+5202i−2i00−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ1400000000000
χ2022−1+52−1−5222−1+52−1−5222−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52-2-2−1+52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−521−521−521+521+52-2-2-2-21−521−521+521+521−521−521+521+520−2i2i00ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ1400000000000
χ2122−1−52−1+5222−1−52−1+5222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+5222−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+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+5202200−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000
χ2222−1−52−1+5222−1−52−1+5222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+5222−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+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+520-2-2001+521+521−521−521+521+521−521−5200000000000
χ2322−1−52−1+5222−1−52−1+5222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52-2-2−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+521+521+521−521−52-2-2-2-21+521+521−521−521+521+521−521−5202i−2i00−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ3800000000000
χ2422−1−52−1+5222−1−52−1+5222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52-2-2−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+521+521+521−521−52-2-2-2-21+521+521−521−521+521+521−521−520−2i2i00ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ3800000000000
χ252-22222-2-2-2-222222-2-2-2-2-22i−2i222222222222-2-2-2-2-2-2-2-2-2-2-2-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ262-22222-2-2-2-222222-2-2-2-2-2−2i2i222222222222-2-2-2-2-2-2-2-2-2-2-2-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ272-222−1+52−1−52-2-21−521+52−1+52−1+52−1−52−1−522-21−521−521+521+522i−2i22−1+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+522i−2i2i−2i−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14−ζ6−ζ14ζ6+ζ140000000000000ζ7−ζ23−ζ7+ζ23−ζ31+ζ39ζ31−ζ39−ζ13+ζ37ζ13−ζ37−ζ21+ζ29ζ21−ζ29000
χ282-222−1+52−1−52-2-21−521+52−1+52−1+52−1−52−1−522-21−521−521+521+522i−2i22−1+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+522i−2i2i−2i−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14−ζ6−ζ14ζ6+ζ140000000000000−ζ7+ζ23ζ7−ζ23ζ31−ζ39−ζ31+ζ39ζ13−ζ37−ζ13+ζ37ζ21−ζ29−ζ21+ζ29000
χ292-222−1+52−1−52-2-21−521+52−1+52−1+52−1−52−1−522-21−521−521+521+52−2i2i22−1+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+52−2i2i−2i2iζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ38ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14ζ6+ζ14−ζ6−ζ140000000000000−ζ13+ζ37ζ13−ζ37−ζ21+ζ29ζ21−ζ29ζ7−ζ23−ζ7+ζ23−ζ31+ζ39ζ31−ζ39000
χ302-222−1+52−1−52-2-21−521+52−1+52−1+52−1−52−1−522-21−521−521+521+52−2i2i22−1+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+52−2i2i−2i2iζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ38ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14ζ6+ζ14−ζ6−ζ140000000000000ζ13−ζ37−ζ13+ζ37ζ21−ζ29−ζ21+ζ29−ζ7+ζ23ζ7−ζ23ζ31−ζ39−ζ31+ζ39000
χ312-222−1−52−1+52-2-21+521−52−1−52−1−52−1+52−1+522-21+521+521−521−522i−2i22−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52-2-21+521+521+521+521+521−521−521−521−521−522i−2i2i−2i−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38−ζ22−ζ38ζ22+ζ380000000000000−ζ31+ζ39ζ31−ζ39−ζ7+ζ23ζ7−ζ23−ζ21+ζ29ζ21−ζ29ζ13−ζ37−ζ13+ζ37000
χ322-222−1−52−1+52-2-21+521−52−1−52−1−52−1+52−1+522-21+521+521−521−522i−2i22−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52-2-21+521+521+521+521+521−521−521−521−521−522i−2i2i−2i−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38−ζ22−ζ38ζ22+ζ380000000000000ζ31−ζ39−ζ31+ζ39ζ7−ζ23−ζ7+ζ23ζ21−ζ29−ζ21+ζ29−ζ13+ζ37ζ13−ζ37000
χ332-222−1−52−1+52-2-21+521−52−1−52−1−52−1+52−1+522-21+521+521−521−52−2i2i22−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52-2-21+521+521+521+521+521−521−521−521−521−52−2i2i−2i2iζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ38ζ22+ζ38−ζ22−ζ380000000000000−ζ21+ζ29ζ21−ζ29ζ13−ζ37−ζ13+ζ37−ζ31+ζ39ζ31−ζ39−ζ7+ζ23ζ7−ζ23000
χ342-222−1−52−1+52-2-21+521−52−1−52−1−52−1+52−1+522-21+521+521−521−52−2i2i22−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52-2-21+521+521+521+521+521−521−521−521−521−52−2i2i−2i2iζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ38ζ22+ζ38−ζ22−ζ380000000000000ζ21−ζ29−ζ21+ζ29−ζ13+ζ37ζ13−ζ37ζ31−ζ39−ζ31+ζ39ζ7−ζ23−ζ7+ζ23000
χ352-2−1+52−1−52221−521+52-2-2−1+52−1−52−1+52−1−522-21−521+521−521+522i−2i−1+52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−521−521+52-21−521−521+521+52-21−521−521+521+52−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ142i−2i2i−2i−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ1400000−ζ13+ζ37ζ13−ζ37−ζ21+ζ29ζ21−ζ29ζ7−ζ23−ζ7+ζ23−ζ31+ζ39ζ31−ζ3900000000000
χ362-2−1+52−1−52221−521+52-2-2−1+52−1−52−1+52−1−522-21−521+521−521+522i−2i−1+52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−521−521+52-21−521−521+521+52-21−521−521+521+52−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ142i−2i2i−2i−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ1400000ζ13−ζ37−ζ13+ζ37ζ21−ζ29−ζ21+ζ29−ζ7+ζ23ζ7−ζ23ζ31−ζ39−ζ31+ζ3900000000000
χ372-2−1+52−1−52221−521+52-2-2−1+52−1−52−1+52−1−522-21−521+521−521+52−2i2i−1+52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−521−521+52-21−521−521+521+52-21−521−521+521+52ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14−2i2i−2i2iζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ1400000ζ7−ζ23−ζ7+ζ23−ζ31+ζ39ζ31−ζ39−ζ13+ζ37ζ13−ζ37−ζ21+ζ29ζ21−ζ2900000000000
χ382-2−1+52−1−52221−521+52-2-2−1+52−1−52−1+52−1−522-21−521+521−521+52−2i2i−1+52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−521−521+52-21−521−521+521+52-21−521−521+521+52ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14−2i2i−2i2iζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ1400000−ζ7+ζ23ζ7−ζ23ζ31−ζ39−ζ31+ζ39ζ13−ζ37−ζ13+ζ37ζ21−ζ29−ζ21+ζ2900000000000
χ392-2−1−52−1+52221+521−52-2-2−1−52−1+52−1−52−1+522-21+521−521+521−522i−2i−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+521+521−52-21+521+521−521−52-21+521+521−521−52−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ382i−2i2i−2i−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ3800000−ζ21+ζ29ζ21−ζ29ζ13−ζ37−ζ13+ζ37−ζ31+ζ39ζ31−ζ39−ζ7+ζ23ζ7−ζ2300000000000
χ402-2−1−52−1+52221+521−52-2-2−1−52−1+52−1−52−1+522-21+521−521+521−522i−2i−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+521+521−52-21+521+521−521−52-21+521+521−521−52−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ382i−2i2i−2i−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ3800000ζ21−ζ29−ζ21+ζ29−ζ13+ζ37ζ13−ζ37ζ31−ζ39−ζ31+ζ39ζ7−ζ23−ζ7+ζ2300000000000
χ412-2−1−52−1+52221+521−52-2-2−1−52−1+52−1−52−1+522-21+521−521+521−52−2i2i−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+521+521−52-21+521+521−521−52-21+521+521−521−52ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ38−2i2i−2i2iζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ3800000−ζ31+ζ39ζ31−ζ39−ζ7+ζ23ζ7−ζ23−ζ21+ζ29ζ21−ζ29ζ13−ζ37−ζ13+ζ3700000000000
χ422-2−1−52−1+52221+521−52-2-2−1−52−1+52−1−52−1+522-21+521−521+521−52−2i2i−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+521+521−52-21+521+521−521−52-21+521+521−521−52ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ38−2i2i−2i2iζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ3800000ζ31−ζ39−ζ31+ζ39ζ7−ζ23−ζ7+ζ23ζ21−ζ29−ζ21+ζ29−ζ13+ζ37ζ13−ζ3700000000000
χ4344444444444444-1-1444400-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000400000000000000000000-1-10
χ4444444444444444-1-1444400-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-400000000000000000000110
χ4544−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−53−52-1-13+52443−52-1-13+5244−1+5−1−5−1+53−523−52-1-1−1−5-1-13+523+52−1+5−1−5−1+53−523−52-1-1−1−5-1-13+523+52−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−53−523−52-1-1-1-13+523+52000000000000000000000000
χ4644−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−53−52-1-13+52443−52-1-13+52-4-4−1+5−1−5−1+53−523−52-1-1−1−5-1-13+523+52−1+5−1−5−1+53−523−52-1-1−1−5-1-13+523+521−51−51+51+51−51−51+51+5−3+52−3+521111−3−52−3−52000000000000000000000000
χ4744−1+5−1−5−1−5−1+5−1+5−1−5−1−5−1+5-13+523−52-144-13+523−52-144−1+5−1−5−1−5-1-13+523+52−1+53−523−52-1-1−1+5−1−5−1−5-1-13+523+52−1+53−523−52-1-1−1+5−1+5−1−5−1−5−1−5−1−5−1+5−1+5-1-13+523+523−523−52-1-1000000000000000000000000
χ4844−1+5−1−5−1−5−1+5−1+5−1−5−1−5−1+5-13+523−52-144-13+523−52-1-4-4−1+5−1−5−1−5-1-13+523+52−1+53−523−52-1-1−1+5−1−5−1−5-1-13+523+52−1+53−523−52-1-11−51−51+51+51+51+51−51−511−3−52−3−52−3+52−3+5211000000000000000000000000
χ4944−1−5−1+5−1+5−1−5−1−5−1+5−1+5−1−5-13−523+52-144-13−523+52-144−1−5−1+5−1+5-1-13−523−52−1−53+523+52-1-1−1−5−1+5−1+5-1-13−523−52−1−53+523+52-1-1−1−5−1−5−1+5−1+5−1+5−1+5−1−5−1−5-1-13−523−523+523+52-1-1000000000000000000000000
χ5044−1−5−1+5−1+5−1−5−1−5−1+5−1+5−1−5-13−523+52-144-13−523+52-1-4-4−1−5−1+5−1+5-1-13−523−52−1−53+523+52-1-1−1−5−1+5−1+5-1-13−523−52−1−53+523+52-1-11+51+51−51−51−51−51+51+511−3+52−3+52−3−52−3−5211000000000000000000000000
χ5144−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+53+52-1-13−52443+52-1-13−5244−1−5−1+5−1−53+523+52-1-1−1+5-1-13−523−52−1−5−1+5−1−53+523+52-1-1−1+5-1-13−523−52−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+53+523+52-1-1-1-13−523−52000000000000000000000000
χ5244−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+53+52-1-13−52443+52-1-13−52-4-4−1−5−1+5−1−53+523+52-1-1−1+5-1-13−523−52−1−5−1+5−1−53+523+52-1-1−1+5-1-13−523−521+51+51−51−51+51+51−51−5−3−52−3−521111−3+52−3+52000000000000000000000000
χ534-44444-4-4-4-44444-11-4-4-4-400-1-1-1-1-1-1-1-1-1-1-1-111111111111100000000000000000000000000000000000005−50
χ544-44444-4-4-4-44444-11-4-4-4-400-1-1-1-1-1-1-1-1-1-1-1-11111111111110000000000000000000000000000000000000−550
χ554-4−1+5−1−5−1+5−1−51−51+51−51+53−52-1-13+524-4−3+5211−3−524i−4i−1+5−1−5−1+53−523−52-1-1−1−5-1-13+523+521−51+51−5−3+52−3+52111+511−3−52−3−52−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14ζ6+ζ14+2ζ22+2ζ38−ζ6−ζ14−2ζ22−2ζ38−ii−ii2ζ6+2ζ14+ζ22+ζ38−2ζ6−2ζ14−ζ22−ζ38000000000000000000000000
χ564-4−1+5−1−5−1+5−1−51−51+51−51+53−52-1-13+524-4−3+5211−3−52−4i4i−1+5−1−5−1+53−523−52-1-1−1−5-1-13+523+521−51+51−5−3+52−3+52111+511−3−52−3−522ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14−ζ6−ζ14−2ζ22−2ζ38ζ6+ζ14+2ζ22+2ζ38i−ii−i−2ζ6−2ζ14−ζ22−ζ382ζ6+2ζ14+ζ22+ζ38000000000000000000000000
χ574-4−1+5−1−5−1−5−1+51−51+51+51−5-13+523−52-14-41−3−52−3+5214i−4i−1+5−1−5−1−5-1-13+523+52−1+53−523−52-1-11−51+51+511−3−52−3−521−5−3+52−3+5211−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−ii2ζ6+2ζ14+ζ22+ζ38−2ζ6−2ζ14−ζ22−ζ38ζ6+ζ14+2ζ22+2ζ38−ζ6−ζ14−2ζ22−2ζ38−ii000000000000000000000000
χ584-4−1+5−1−5−1−5−1+51−51+51+51−5-13+523−52-14-41−3−52−3+521−4i4i−1+5−1−5−1−5-1-13+523+52−1+53−523−52-1-11−51+51+511−3−52−3−521−5−3+52−3+52112ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38i−i−2ζ6−2ζ14−ζ22−ζ382ζ6+2ζ14+ζ22+ζ38−ζ6−ζ14−2ζ22−2ζ38ζ6+ζ14+2ζ22+2ζ38i−i000000000000000000000000
χ594-4−1−5−1+5−1+5−1−51+51−51−51+5-13−523+52-14-41−3+52−3−5214i−4i−1−5−1+5−1+5-1-13−523−52−1−53+523+52-1-11+51−51−511−3+52−3+521+5−3−52−3−5211−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−iiζ6+ζ14+2ζ22+2ζ38−ζ6−ζ14−2ζ22−2ζ382ζ6+2ζ14+ζ22+ζ38−2ζ6−2ζ14−ζ22−ζ38−ii000000000000000000000000
χ604-4−1−5−1+5−1+5−1−51+51−51−51+5-13−523+52-14-41−3+52−3−521−4i4i−1−5−1+5−1+5-1-13−523−52−1−53+523+52-1-11+51−51−511−3+52−3+521+5−3−52−3−52112ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14i−i−ζ6−ζ14−2ζ22−2ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ382ζ6+2ζ14+ζ22+ζ38i−i000000000000000000000000
χ614-4−1−5−1+5−1−5−1+51+51−51+51−53+52-1-13−524-4−3−5211−3+524i−4i−1−5−1+5−1−53+523+52-1-1−1+5-1-13−523−521+51−51+5−3−52−3−52111−511−3+52−3+52−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38−2ζ6−2ζ14−ζ22−ζ38−ii−iiζ6+ζ14+2ζ22+2ζ38−ζ6−ζ14−2ζ22−2ζ38000000000000000000000000
χ624-4−1−5−1+5−1−5−1+51+51−51+51−53+52-1-13−524-4−3−5211−3+52−4i4i−1−5−1+5−1−53+523+52-1-1−1+5-1-13−523−521+51−51+5−3−52−3−52111−511−3+52−3+522ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ382ζ6+2ζ14+ζ22+ζ38i−ii−i−ζ6−ζ14−2ζ22−2ζ38ζ6+ζ14+2ζ22+2ζ38000000000000000000000000
χ638888−2+25−2−2588−2+25−2−25−2+25−2+25−2−25−2−25-2-2−2+25−2+25−2−25−2−2500-2-21−521−521−521−521−521+521+521+521+521+52-2-21−521−521−521−521−521+521+521+521+521+520000000000000000000000000000000000000000
χ648888−2−25−2+2588−2−25−2+25−2−25−2−25−2+25−2+25-2-2−2−25−2−25−2+25−2+2500-2-21+521+521+521+521+521−521−521−521−521−52-2-21+521+521+521+521+521−521−521−521−521−520000000000000000000000000000000000000000
χ6588−2+25−2−2588−2+25−2−2588−2+25−2−25−2+25−2−25-2-2−2+25−2−25−2+25−2−25001−521+52-21−521−521+521+52-21−521−521+521+521−521+52-21−521−521+521+52-21−521−521+521+520000000000000000000000000000000000000000
χ6688−2+25−2−25−2+25−2−25−2+25−2−25−2+25−2−253−5-2-23+5-2-23−5-2-23+5001−521+521−521+352−2−53-21+523-2−2+51−3521−521+521−521+352−2−53-21+523-2−2+51−3520000000000000000000000000000000000000000
χ6788−2+25−2−25−2+25−2−25−2+25−2−25−2+25−2−253−5-2-23+5-2-23−5-2-23+5001−521+521−52−2−51+352-231+52-231−352−2+51−521+521−52−2−51+352-231+52-231−352−2+50000000000000000000000000000000000000000
χ6888−2+25−2−25−2−25−2+25−2+25−2−25−2−25−2+25-23+53−5-2-2-2-23+53−5-2001−521+521+523-2−2+51−3521−52−2−51+352-231−521+521+523-2−2+51−3521−52−2−51+352-230000000000000000000000000000000000000000
χ6988−2+25−2−25−2−25−2+25−2+25−2−25−2−25−2+25-23+53−5-2-2-2-23+53−5-2001−521+521+52-231−352−2+51−521+352−2−53-21−521+521+52-231−352−2+51−521+352−2−53-20000000000000000000000000000000000000000
χ7088−2−25−2+2588−2−25−2+2588−2−25−2+25−2−25−2+25-2-2−2−25−2+25−2−25−2+25001+521−52-21+521+521−521−52-21+521+521−521−521+521−52-21+521+521−521−52-21+521+521−521−520000000000000000000000000000000000000000
χ7188−2−25−2+25−2+25−2−25−2−25−2+25−2+25−2−25-23−53+5-2-2-2-23−53+5-2001+521−521−523-2−2−51+3521+52−2+51−352-231+521−521−523-2−2−51+3521+52−2+51−352-230000000000000000000000000000000000000000
χ7288−2−25−2+25−2+25−2−25−2−25−2+25−2+25−2−25-23−53+5-2-2-2-23−53+5-2001+521−521−52-231+352−2−51+521−352−2+53-21+521−521−52-231+352−2−51+521−352−2+53-20000000000000000000000000000000000000000
χ7388−2−25−2+25−2−25−2+25−2−25−2+25−2−25−2+253+5-2-23−5-2-23+5-2-23−5001+521−521+52−2+51−352-231−52-231+352−2−51+521−521+52−2+51−352-231−52-231+352−2−50000000000000000000000000000000000000000
χ7488−2−25−2+25−2−25−2+25−2−25−2+25−2−25−2+253+5-2-23−5-2-23+5-2-23−5001+521−521+521−352−2+53-21−523-2−2−51+3521+521−521+521−352−2+53-21−523-2−2−51+3520000000000000000000000000000000000000000
χ758-888−2+25−2−25-8-82−252+25−2+25−2+25−2−25−2−25-222−252−252+252+2500-2-21−521−521−521−521−521+521+521+521+521+5222−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−520000000000000000000000000000000000000000
χ768-888−2−25−2+25-8-82+252−25−2−25−2−25−2+25−2+25-222+252+252−252−2500-2-21+521+521+521+521+521−521−521−521−521−5222−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+520000000000000000000000000000000000000000
χ778-8−2+25−2−25882−252+25-8-8−2+25−2−25−2+25−2−25-222−252+252−252+25001−521+52-21−521−521+521+52-21−521−521+521+52−1+52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−520000000000000000000000000000000000000000
χ788-8−2+25−2−25−2+25−2−252−252+252−252+253−5-2-23+5-22−3+522−3−5001−521+521−521+352−2−53-21+523-2−2+51−352−1+52−1−52−1+52−1−3522+5-32−1−52-322−5−1+3520000000000000000000000000000000000000000
χ798-8−2+25−2−25−2+25−2−252−252+252−252+253−5-2-23+5-22−3+522−3−5001−521+521−52−2−51+352-231+52-231−352−2+5−1+52−1−52−1+522+5−1−3522-3−1−522-3−1+3522−50000000000000000000000000000000000000000
χ808-8−2+25−2−25−2−25−2+252−252+252+252−25-23+53−5-2-222−3−5−3+52001−521+521+523-2−2+51−3521−52−2−51+352-23−1+52−1−52−1−52-322−5−1+352−1+522+5−1−3522-30000000000000000000000000000000000000000
χ818-8−2+25−2−25−2−25−2+252−252+252+252−25-23+53−5-2-222−3−5−3+52001−521+521+52-231−352−2+51−521+352−2−53-2−1+52−1−52−1−522-3−1+3522−5−1+52−1−3522+5-320000000000000000000000000000000000000000
χ828-8−2−25−2+25882+252−25-8-8−2−25−2+25−2−25−2+25-222+252−252+252−25001+521−52-21+521+521−521−52-21+521+521−521−52−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+520000000000000000000000000000000000000000
χ838-8−2−25−2+25−2+25−2−252+252−252−252+25-23−53+5-2-222−3+5−3−52001+521−521−523-2−2−51+3521+52−2+51−352-23−1−52−1+52−1+52-322+5−1−352−1−522−5−1+3522-30000000000000000000000000000000000000000
χ848-8−2−25−2+25−2+25−2−252+252−252−252+25-23−53+5-2-222−3+5−3−52001+521−521−52-231+352−2−51+521−352−2+53-2−1−52−1+52−1+522-3−1−3522+5−1−52−1+3522−5-320000000000000000000000000000000000000000
χ858-8−2−25−2+25−2−25−2+252+252−252+252−253+5-2-23−5-22−3−522−3+5001+521−521+52−2+51−352-231−52-231+352−2−5−1−52−1+52−1−522−5−1+3522-3−1+522-3−1−3522+50000000000000000000000000000000000000000
χ868-8−2−25−2+25−2−25−2+252+252−252+252−253+5-2-23−5-22−3−522−3+5001+521−521+521−352−2+53-21−523-2−2−51+352−1−52−1+52−1−52−1+3522−5-32−1+52-322+5−1−3520000000000000000000000000000000000000000

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