Finite Group Databasebeta

← Group #12012720

Character table — Group #12012720

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size112222222222244444444444444444444444444888888888888888888888888881616161616161616161616161616161616161640408080808080160
order12244551010202020204488881010202020202020202020204040404040404040248888404040404040404040404040404040404040404081010161620204040404080808080808080802424816164
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-111111-1-1-1
χ411111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ5111111111111111111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1
χ6111111111111111111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11
χ7111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-11-1-11
χ8111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-111-111-1
χ9222222222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2000000-2-2-2-200000000000000000000000000000000000002-20000
χ10222222222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2000000-2-2-2-20000000000000000000000000000000000000-220000
χ112222222222222-2-22-22-22222-2-2-2-2-2-2-2-222222222000000-2-2-2-2000000000000000000000000000000000002200-2000
χ122222222222222-2-22-22-22222-2-2-2-2-2-2-2-222222222000000-2-2-2-200000000000000000000000000000000000-2-2002000
χ132222222222222-2-2-22-222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222000022220000000000000000-2220022-2-2-2-20000000000000000
χ142222222222222-2-2-22-222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000222200000000000000002-2-200-2-222220000000000000000
χ1522222−1+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+52−1−52−1−52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−522−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000
χ1622222−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-2-2-2−1+52−1+52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+522−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+5200000000
χ1722222−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-22222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52-21−521+52-2-21−521+521−521−521+521+521−521−521−521−521+521+521+521+5200000000
χ1822222−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2−1+52−1+52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52-21−521+52221−521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000
χ1922222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-22-22−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521+521+521−521−521+521+52220000−1+52−1+52−1−52−1−52−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14-2−1+52−1−5200−1+52−1−521−521−521+521+52−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ1400000000
χ2022222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-22-22−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521+521+521−521−521+521+52220000−1+52−1+52−1−52−1−52ζ22−ζ38ζ22−ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14-2−1+52−1−5200−1+52−1−521−521−521+521+52ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ1400000000
χ2122222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-22-22−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521+521+521−521−521+521+52-2-20000−1+52−1+52−1−52−1−52−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ1421−521+52001−521+52−1+52−1+52−1−52−1−52ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ1400000000
χ2222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-22-22−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521+521+521−521−521+521+52-2-20000−1+52−1+52−1−52−1−52ζ22−ζ38ζ22−ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ1421−521+52001−521+52−1+52−1+52−1−52−1−52−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ1400000000
χ2322222−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+522−1−52−1+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+5200000000
χ2422222−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-2-2-2−1−52−1−52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−522−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5200000000
χ2522222−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-22222−1−52−1−52−1+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+52-21+521−52-2-21+521−521+521+521−521−521+521+521+521+521−521−521−521−5200000000
χ2622222−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2−1−52−1−52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52-21+521−52221+521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000
χ2722222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-22-22−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521−521−521+521+521−521−52220000−1−52−1−52−1+52−1+52ζ6−ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38-2−1−52−1+5200−1−52−1+521+521+521−521−52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ3800000000
χ2822222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-22-22−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521−521−521+521+521−521−52220000−1−52−1−52−1+52−1+52−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ22−ζ38ζ22−ζ38-2−1−52−1+5200−1−52−1+521+521+521−521−52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ3800000000
χ2922222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-22-22−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521−521−521+521+521−521−52-2-20000−1−52−1−52−1+52−1+52ζ6−ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38−ζ22+ζ3821+521−52001+521−52−1−52−1−52−1+52−1+52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ3800000000
χ3022222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-22-22−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521−521−521+521+521−521−52-2-20000−1−52−1−52−1+52−1+52−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ22−ζ38ζ22−ζ3821+521−52001+521−52−1−52−1−52−1+52−1+52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ3800000000
χ3122-22-22222222200-2020-2-2-2-200000000-2-2-2-222220022−2−2000022−2−222−2−222−2−222−2−200000000000000000002-20002−20
χ3222-22-22222222200-2020-2-2-2-200000000-2-2-2-222220022−2−2000022−2−222−2−222−2−222−2−20000000000000000000-22000−220
χ3322-22-22222222200-2020-2-2-2-200000000-2-2-2-2222200−2−2220000−2−222−2−222−2−222−2−22200000000000000000002-2000−220
χ3422-22-22222222200-2020-2-2-2-200000000-2-2-2-2222200−2−2220000−2−222−2−222−2−222−2−2220000000000000000000-220002−20
χ3522-2-222222-2-2-2-2000-202-2-22200000000000000002-22−22−22-22-22−22−22−22−22−22−22−22−20222−2-2-200002−22−22−22−200000000
χ3622-2-222222-2-2-2-2000-202-2-22200000000000000002-2−22−222-22-2−22−22−22−22−22−22−22−22022−22-2-20000−22−22−22−2200000000
χ3722-2-222222-2-2-2-2000-202-2-2220000000000000000-222−22−22-22-22−22−22−22−22−22−22−22−20-2-2−22220000−22−22−22−2200000000
χ3822-2-222222-2-2-2-2000-202-2-2220000000000000000-22−22−222-22-2−22−22−22−22−22−22−22−220-2-22−22200002−22−22−22−200000000
χ3922-2-22−1+52−1−52−1+52−1−521−521−521+521+52000-2021−521+52−1+52−1−52−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ142-22−22−2−1+521−52−1−521+52−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ23+ζ37ζ23−ζ37−ζ23+ζ37ζ23−ζ37ζ21−ζ39−ζ21+ζ39ζ21−ζ39−ζ21+ζ39ζ29−ζ31−ζ29+ζ31ζ29−ζ31−ζ29+ζ310−1+52−1−522−21−521+52−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ7+ζ13ζ7−ζ13−ζ23+ζ37ζ23−ζ37ζ21−ζ39−ζ21+ζ39ζ29−ζ31−ζ29+ζ3100000000
χ4022-2-22−1+52−1−52−1+52−1−521−521−521+521+52000-2021−521+52−1+52−1−52−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ142-2−22−22−1+521−52−1−521+52ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ23−ζ37−ζ23+ζ37ζ23−ζ37−ζ23+ζ37−ζ21+ζ39ζ21−ζ39−ζ21+ζ39ζ21−ζ39−ζ29+ζ31ζ29−ζ31−ζ29+ζ31ζ29−ζ310−1+52−1−52−221−521+52−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ7−ζ13−ζ7+ζ13ζ23−ζ37−ζ23+ζ37−ζ21+ζ39ζ21−ζ39−ζ29+ζ31ζ29−ζ3100000000
χ4122-2-22−1+52−1−52−1+52−1−521−521−521+521+52000-2021−521+52−1+52−1−52−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14-222−22−2−1+521−52−1−521+52−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ23+ζ37ζ23−ζ37−ζ23+ζ37ζ23−ζ37ζ21−ζ39−ζ21+ζ39ζ21−ζ39−ζ21+ζ39ζ29−ζ31−ζ29+ζ31ζ29−ζ31−ζ29+ζ3101−521+52−22−1+52−1−52ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ7−ζ13−ζ7+ζ13ζ23−ζ37−ζ23+ζ37−ζ21+ζ39ζ21−ζ39−ζ29+ζ31ζ29−ζ3100000000
χ4222-2-22−1+52−1−52−1+52−1−521−521−521+521+52000-2021−521+52−1+52−1−52−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14-22−22−22−1+521−52−1−521+52ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ23−ζ37−ζ23+ζ37ζ23−ζ37−ζ23+ζ37−ζ21+ζ39ζ21−ζ39−ζ21+ζ39ζ21−ζ39−ζ29+ζ31ζ29−ζ31−ζ29+ζ31ζ29−ζ3101−521+522−2−1+52−1−52ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ7+ζ13ζ7−ζ13−ζ23+ζ37ζ23−ζ37ζ21−ζ39−ζ21+ζ39ζ29−ζ31−ζ29+ζ3100000000
χ4322-2-22−1+52−1−52−1+52−1−521−521−521+521+52000-2021−521+52−1+52−1−52ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ142-22−22−2−1+521−52−1−521+52−ζ23+ζ37ζ23−ζ37−ζ23+ζ37ζ23−ζ37−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13ζ29−ζ31−ζ29+ζ31ζ29−ζ31−ζ29+ζ31ζ21−ζ39−ζ21+ζ39ζ21−ζ39−ζ21+ζ390−1+52−1−522−21−521+52ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ23+ζ37ζ23−ζ37−ζ7+ζ13ζ7−ζ13ζ29−ζ31−ζ29+ζ31ζ21−ζ39−ζ21+ζ3900000000
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χ4522-2-22−1+52−1−52−1+52−1−521−521−521+521+52000-2021−521+52−1+52−1−52ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14-222−22−2−1+521−52−1−521+52−ζ23+ζ37ζ23−ζ37−ζ23+ζ37ζ23−ζ37−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13ζ29−ζ31−ζ29+ζ31ζ29−ζ31−ζ29+ζ31ζ21−ζ39−ζ21+ζ39ζ21−ζ39−ζ21+ζ3901−521+52−22−1+52−1−52−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ23−ζ37−ζ23+ζ37ζ7−ζ13−ζ7+ζ13−ζ29+ζ31ζ29−ζ31−ζ21+ζ39ζ21−ζ3900000000
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χ7444-44-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+50040-401+51−51+51−500000000−1−5−1−5−1+5−1+51+51+51−51−50000000000−ζ21+ζ29−ζ31+ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ21−ζ29+ζ31−ζ39ζ21−ζ29+ζ31−ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ21+ζ29−ζ31+ζ39−ζ7+ζ13+ζ23−ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ7−ζ13−ζ23+ζ37ζ7−ζ13−ζ23+ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ7+ζ13+ζ23−ζ37000000000000000000000000000
χ7544-44-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+50040-401+51−51+51−500000000−1−5−1−5−1+5−1+51+51+51−51−50000000000ζ21−ζ29+ζ31−ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ21+ζ29−ζ31+ζ39−ζ21+ζ29−ζ31+ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ21−ζ29+ζ31−ζ39ζ7−ζ13−ζ23+ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ7+ζ13+ζ23−ζ37−ζ7+ζ13+ζ23−ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ7−ζ13−ζ23+ζ37000000000000000000000000000
χ7644-44-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+500-40401+51−51+51−5000000001+51+51−51−5−1−5−1−5−1+5−1+5002222−22−220000ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37000000000000000000000000000
χ7744-44-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+500-40401+51−51+51−5000000001+51+51−51−5−1−5−1−5−1+5−1+500−22−2222220000−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37000000000000000000000000000
χ7844-4-444444-4-4-4-400040-4-4-4440000000000000000000000-44-440000000000000000000000000000000000000000000
χ7944-4-44−1+5−1−5−1+5−1−51−51−51+51+500040-41−51+5−1+5−1−5−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ382ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ140000001−5−1+51+5−1−50000000000000000000000000000000000000000000
χ8044-4-44−1+5−1−5−1+5−1−51−51−51+51+500040-41−51+5−1+5−1−52ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ38−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ140000001−5−1+51+5−1−50000000000000000000000000000000000000000000
χ8144-4-44−1−5−1+5−1−5−1+51+51+51−51−500040-41+51−5−1−5−1+52ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ38−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ380000001+5−1−51−5−1+50000000000000000000000000000000000000000000
χ8244-4-44−1−5−1+5−1−5−1+51+51+51−51−500040-41+51−5−1−5−1+5−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ382ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ380000001+5−1−51−5−1+50000000000000000000000000000000000000000000
χ838-800088-8-800004-4000000004-44-44-44-40000000000000000000000000000000000000000000000000000000000000
χ848-800088-8-80000-4400000000-44-44-44-440000000000000000000000000000000000000000000000000000000000000
χ858-8000−2+25−2−252−252+25−4ζ22+4ζ384ζ22−4ζ384ζ6−4ζ14−4ζ6+4ζ144-400000000−2ζ12−2ζ22−2ζ28+2ζ382ζ12+2ζ22+2ζ28−2ζ38−2ζ12+2ζ22−2ζ28−2ζ382ζ12−2ζ22+2ζ28+2ζ38−2ζ4+2ζ6−2ζ14−2ζ362ζ4−2ζ6+2ζ14+2ζ36−2ζ4−2ζ6+2ζ14−2ζ362ζ4+2ζ6−2ζ14+2ζ360000000000000000000000000000000000000000000000000000000000000
χ868-8000−2+25−2−252−252+25−4ζ22+4ζ384ζ22−4ζ384ζ6−4ζ14−4ζ6+4ζ14-44000000002ζ12+2ζ22+2ζ28−2ζ38−2ζ12−2ζ22−2ζ28+2ζ382ζ12−2ζ22+2ζ28+2ζ38−2ζ12+2ζ22−2ζ28−2ζ382ζ4−2ζ6+2ζ14+2ζ36−2ζ4+2ζ6−2ζ14−2ζ362ζ4+2ζ6−2ζ14+2ζ36−2ζ4−2ζ6+2ζ14−2ζ360000000000000000000000000000000000000000000000000000000000000
χ878-8000−2+25−2−252−252+254ζ22−4ζ38−4ζ22+4ζ38−4ζ6+4ζ144ζ6−4ζ144-400000000−2ζ12+2ζ22−2ζ28−2ζ382ζ12−2ζ22+2ζ28+2ζ38−2ζ12−2ζ22−2ζ28+2ζ382ζ12+2ζ22+2ζ28−2ζ38−2ζ4−2ζ6+2ζ14−2ζ362ζ4+2ζ6−2ζ14+2ζ36−2ζ4+2ζ6−2ζ14−2ζ362ζ4−2ζ6+2ζ14+2ζ360000000000000000000000000000000000000000000000000000000000000
χ888-8000−2+25−2−252−252+254ζ22−4ζ38−4ζ22+4ζ38−4ζ6+4ζ144ζ6−4ζ14-44000000002ζ12−2ζ22+2ζ28+2ζ38−2ζ12+2ζ22−2ζ28−2ζ382ζ12+2ζ22+2ζ28−2ζ38−2ζ12−2ζ22−2ζ28+2ζ382ζ4+2ζ6−2ζ14+2ζ36−2ζ4−2ζ6+2ζ14−2ζ362ζ4−2ζ6+2ζ14+2ζ36−2ζ4+2ζ6−2ζ14−2ζ360000000000000000000000000000000000000000000000000000000000000
χ898-8000−2−25−2+252+252−254ζ6−4ζ14−4ζ6+4ζ144ζ22−4ζ38−4ζ22+4ζ384-400000000−2ζ4+2ζ6−2ζ14−2ζ362ζ4−2ζ6+2ζ14+2ζ36−2ζ4−2ζ6+2ζ14−2ζ362ζ4+2ζ6−2ζ14+2ζ36−2ζ12+2ζ22−2ζ28−2ζ382ζ12−2ζ22+2ζ28+2ζ38−2ζ12−2ζ22−2ζ28+2ζ382ζ12+2ζ22+2ζ28−2ζ380000000000000000000000000000000000000000000000000000000000000
χ908-8000−2−25−2+252+252−254ζ6−4ζ14−4ζ6+4ζ144ζ22−4ζ38−4ζ22+4ζ38-44000000002ζ4−2ζ6+2ζ14+2ζ36−2ζ4+2ζ6−2ζ14−2ζ362ζ4+2ζ6−2ζ14+2ζ36−2ζ4−2ζ6+2ζ14−2ζ362ζ12−2ζ22+2ζ28+2ζ38−2ζ12+2ζ22−2ζ28−2ζ382ζ12+2ζ22+2ζ28−2ζ38−2ζ12−2ζ22−2ζ28+2ζ380000000000000000000000000000000000000000000000000000000000000
χ918-8000−2−25−2+252+252−25−4ζ6+4ζ144ζ6−4ζ14−4ζ22+4ζ384ζ22−4ζ384-400000000−2ζ4−2ζ6+2ζ14−2ζ362ζ4+2ζ6−2ζ14+2ζ36−2ζ4+2ζ6−2ζ14−2ζ362ζ4−2ζ6+2ζ14+2ζ36−2ζ12−2ζ22−2ζ28+2ζ382ζ12+2ζ22+2ζ28−2ζ38−2ζ12+2ζ22−2ζ28−2ζ382ζ12−2ζ22+2ζ28+2ζ380000000000000000000000000000000000000000000000000000000000000
χ928-8000−2−25−2+252+252−25−4ζ6+4ζ144ζ6−4ζ14−4ζ22+4ζ384ζ22−4ζ38-44000000002ζ4+2ζ6−2ζ14+2ζ36−2ζ4−2ζ6+2ζ14−2ζ362ζ4−2ζ6+2ζ14+2ζ36−2ζ4+2ζ6−2ζ14−2ζ362ζ12+2ζ22+2ζ28−2ζ38−2ζ12−2ζ22−2ζ28+2ζ382ζ12−2ζ22+2ζ28+2ζ38−2ζ12+2ζ22−2ζ28−2ζ380000000000000000000000000000000000000000000000000000000000000

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