Finite Group Databasebeta

← Group #12011816

Character table — Group #12011816

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size1122222222222444444888888888888888888888888881616161616161616161616161616161616161616161616168080808080808080
order12244551010202020202410102020448888101020204040404040404040404040404040404016161616202020208080808080808080808080808080808024444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ4111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ51111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111-11-1-1-1
χ61111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-11-1111
χ71111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-11-11-1-1
χ81111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-11-111
χ9222222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200002222000000000000000000000000
χ102222222222222222222-2-222-2-2222222222222-2-2-2-2-2-2-2-20000-2-2-2-2000000000000000000000000
χ112222222222222-2-2222200002-2-2-2-2-2000000002222-2-2-2-20000000000000000000000000020-2000
χ122222222222222-2-2222200002-2-2-2-2-2000000002222-2-2-2-200000000000000000000000000-202000
χ132222222222222-2-222220000-22-2-2-2-200000000-2-2-2-2222200000000000000000000000000020-200
χ142222222222222-2-222220000-22-2-2-2-200000000-2-2-2-22222000000000000000000000000000-20200
χ1522222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222−1+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+52−1−52−1−522222−1+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+52−1−52−1−52−1−52−1−5200000000
χ1622222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222−1+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+52−1−52−1−52-2-2-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5200000000
χ1722222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222−1+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+520000−1+52−1+52−1−52−1−52−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ1400000000
χ1822222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222−1+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+520000−1+52−1+52−1−52−1−52ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ1400000000
χ1922222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1−52-2-222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+521−521−521+521+5200001−521−521+521+52−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ1400000000
χ2022222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1−52-2-222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+521−521−521+521+5200001−521−521+521+52ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ1400000000
χ2122222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1−52-2-2-2-222−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-21−521−521+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+5200000000
χ2222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1−52-2-2-2-222−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2221−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000
χ2322222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1+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+522222−1−52−1−52−1+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+5200000000
χ2422222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1+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+52-2-2-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5200000000
χ2522222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1+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+521−521−520000−1−52−1−52−1+52−1+52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ3800000000
χ2622222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1+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+521−521−520000−1−52−1−52−1+52−1+52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ3800000000
χ2722222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1+52-2-222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−521+521+521−521−5200001+521+521−521−52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ3800000000
χ2822222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1+52-2-222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−521+521+521−521−5200001+521+521−521−52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ3800000000
χ2922222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1+52-2-2-2-222−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-21+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−5200000000
χ3022222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1+52-2-2-2-222−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2221+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+5200000000
χ31222-2-22222-2-2-2-22-222-2-22-2000022-2-200000000000000002−22−22-22-22−22−22−22−22−22−22−22−200000000
χ32222-2-22222-2-2-2-22-222-2-22-2000022-2-20000000000000000−22−222-22-2−22−22−22−22−22−22−22−2200000000
χ33222-2-22222-2-2-2-22-222-2-2-22000022-2-200000000000000002−2−22-22-222−22−22−22−2−22−22−22−2200000000
χ34222-2-22222-2-2-2-22-222-2-2-22000022-2-20000000000000000−222−2-22-22−22−22−22−222−22−22−22−200000000
χ35222-2-2−1+52−1−52−1+52−1−521−521−521+521+522-2−1+52−1−521−521+522-20000−1+52−1−521−521+52−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ142−22−2−1+521−52−1−521+52−ζ7+ζ13ζ7−ζ13−ζ23+ζ37ζ23−ζ37ζ21−ζ39−ζ21+ζ39ζ29−ζ31−ζ29+ζ31−ζ7+ζ13ζ7−ζ13−ζ23+ζ37ζ23−ζ37ζ21−ζ39−ζ21+ζ39ζ29−ζ31−ζ29+ζ3100000000
χ36222-2-2−1+52−1−52−1+52−1−521−521−521+521+522-2−1+52−1−521−521+522-20000−1+52−1−521−521+52−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−22−22−1+521−52−1−521+52ζ7−ζ13−ζ7+ζ13ζ23−ζ37−ζ23+ζ37−ζ21+ζ39ζ21−ζ39−ζ29+ζ31ζ29−ζ31ζ7−ζ13−ζ7+ζ13ζ23−ζ37−ζ23+ζ37−ζ21+ζ39ζ21−ζ39−ζ29+ζ31ζ29−ζ3100000000
χ37222-2-2−1+52−1−52−1+52−1−521−521−521+521+522-2−1+52−1−521−521+522-20000−1+52−1−521−521+52ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ142−22−2−1+521−52−1−521+52−ζ23+ζ37ζ23−ζ37−ζ7+ζ13ζ7−ζ13ζ29−ζ31−ζ29+ζ31ζ21−ζ39−ζ21+ζ39−ζ23+ζ37ζ23−ζ37−ζ7+ζ13ζ7−ζ13ζ29−ζ31−ζ29+ζ31ζ21−ζ39−ζ21+ζ3900000000
χ38222-2-2−1+52−1−52−1+52−1−521−521−521+521+522-2−1+52−1−521−521+522-20000−1+52−1−521−521+52ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−22−22−1+521−52−1−521+52ζ23−ζ37−ζ23+ζ37ζ7−ζ13−ζ7+ζ13−ζ29+ζ31ζ29−ζ31−ζ21+ζ39ζ21−ζ39ζ23−ζ37−ζ23+ζ37ζ7−ζ13−ζ7+ζ13−ζ29+ζ31ζ29−ζ31−ζ21+ζ39ζ21−ζ3900000000
χ39222-2-2−1+52−1−52−1+52−1−521−521−521+521+522-2−1+52−1−521−521+52-220000−1+52−1−521−521+52−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ142−2−221−52−1+521+52−1−52−ζ23+ζ37ζ23−ζ37−ζ7+ζ13ζ7−ζ13ζ29−ζ31−ζ29+ζ31ζ21−ζ39−ζ21+ζ39ζ23−ζ37−ζ23+ζ37ζ7−ζ13−ζ7+ζ13−ζ29+ζ31ζ29−ζ31−ζ21+ζ39ζ21−ζ3900000000
χ40222-2-2−1+52−1−52−1+52−1−521−521−521+521+522-2−1+52−1−521−521+52-220000−1+52−1−521−521+52−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−222−21−52−1+521+52−1−52ζ23−ζ37−ζ23+ζ37ζ7−ζ13−ζ7+ζ13−ζ29+ζ31ζ29−ζ31−ζ21+ζ39ζ21−ζ39−ζ23+ζ37ζ23−ζ37−ζ7+ζ13ζ7−ζ13ζ29−ζ31−ζ29+ζ31ζ21−ζ39−ζ21+ζ3900000000
χ41222-2-2−1+52−1−52−1+52−1−521−521−521+521+522-2−1+52−1−521−521+52-220000−1+52−1−521−521+52ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ142−2−221−52−1+521+52−1−52−ζ7+ζ13ζ7−ζ13−ζ23+ζ37ζ23−ζ37ζ21−ζ39−ζ21+ζ39ζ29−ζ31−ζ29+ζ31ζ7−ζ13−ζ7+ζ13ζ23−ζ37−ζ23+ζ37−ζ21+ζ39ζ21−ζ39−ζ29+ζ31ζ29−ζ3100000000
χ42222-2-2−1+52−1−52−1+52−1−521−521−521+521+522-2−1+52−1−521−521+52-220000−1+52−1−521−521+52ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−222−21−52−1+521+52−1−52ζ7−ζ13−ζ7+ζ13ζ23−ζ37−ζ23+ζ37−ζ21+ζ39ζ21−ζ39−ζ29+ζ31ζ29−ζ31−ζ7+ζ13ζ7−ζ13−ζ23+ζ37ζ23−ζ37ζ21−ζ39−ζ21+ζ39ζ29−ζ31−ζ29+ζ3100000000
χ43222-2-2−1−52−1+52−1−52−1+521+521+521−521−522-2−1−52−1+521+521−522-20000−1−52−1+521+521−52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ382−22−2−1−521+52−1+521−52ζ21−ζ39−ζ21+ζ39ζ29−ζ31−ζ29+ζ31−ζ23+ζ37ζ23−ζ37−ζ7+ζ13ζ7−ζ13ζ21−ζ39−ζ21+ζ39ζ29−ζ31−ζ29+ζ31−ζ23+ζ37ζ23−ζ37−ζ7+ζ13ζ7−ζ1300000000
χ44222-2-2−1−52−1+52−1−52−1+521+521+521−521−522-2−1−52−1+521+521−522-20000−1−52−1+521+521−52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−22−22−1−521+52−1+521−52−ζ21+ζ39ζ21−ζ39−ζ29+ζ31ζ29−ζ31ζ23−ζ37−ζ23+ζ37ζ7−ζ13−ζ7+ζ13−ζ21+ζ39ζ21−ζ39−ζ29+ζ31ζ29−ζ31ζ23−ζ37−ζ23+ζ37ζ7−ζ13−ζ7+ζ1300000000
χ45222-2-2−1−52−1+52−1−52−1+521+521+521−521−522-2−1−52−1+521+521−522-20000−1−52−1+521+521−52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ382−22−2−1−521+52−1+521−52ζ29−ζ31−ζ29+ζ31ζ21−ζ39−ζ21+ζ39−ζ7+ζ13ζ7−ζ13−ζ23+ζ37ζ23−ζ37ζ29−ζ31−ζ29+ζ31ζ21−ζ39−ζ21+ζ39−ζ7+ζ13ζ7−ζ13−ζ23+ζ37ζ23−ζ3700000000
χ46222-2-2−1−52−1+52−1−52−1+521+521+521−521−522-2−1−52−1+521+521−522-20000−1−52−1+521+521−52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−22−22−1−521+52−1+521−52−ζ29+ζ31ζ29−ζ31−ζ21+ζ39ζ21−ζ39ζ7−ζ13−ζ7+ζ13ζ23−ζ37−ζ23+ζ37−ζ29+ζ31ζ29−ζ31−ζ21+ζ39ζ21−ζ39ζ7−ζ13−ζ7+ζ13ζ23−ζ37−ζ23+ζ3700000000
χ47222-2-2−1−52−1+52−1−52−1+521+521+521−521−522-2−1−52−1+521+521−52-220000−1−52−1+521+521−52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ382−2−221+52−1−521−52−1+52ζ29−ζ31−ζ29+ζ31ζ21−ζ39−ζ21+ζ39−ζ7+ζ13ζ7−ζ13−ζ23+ζ37ζ23−ζ37−ζ29+ζ31ζ29−ζ31−ζ21+ζ39ζ21−ζ39ζ7−ζ13−ζ7+ζ13ζ23−ζ37−ζ23+ζ3700000000
χ48222-2-2−1−52−1+52−1−52−1+521+521+521−521−522-2−1−52−1+521+521−52-220000−1−52−1+521+521−52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−222−21+52−1−521−52−1+52−ζ29+ζ31ζ29−ζ31−ζ21+ζ39ζ21−ζ39ζ7−ζ13−ζ7+ζ13ζ23−ζ37−ζ23+ζ37ζ29−ζ31−ζ29+ζ31ζ21−ζ39−ζ21+ζ39−ζ7+ζ13ζ7−ζ13−ζ23+ζ37ζ23−ζ3700000000
χ49222-2-2−1−52−1+52−1−52−1+521+521+521−521−522-2−1−52−1+521+521−52-220000−1−52−1+521+521−52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ382−2−221+52−1−521−52−1+52ζ21−ζ39−ζ21+ζ39ζ29−ζ31−ζ29+ζ31−ζ23+ζ37ζ23−ζ37−ζ7+ζ13ζ7−ζ13−ζ21+ζ39ζ21−ζ39−ζ29+ζ31ζ29−ζ31ζ23−ζ37−ζ23+ζ37ζ7−ζ13−ζ7+ζ1300000000
χ50222-2-2−1−52−1+52−1−52−1+521+521+521−521−522-2−1−52−1+521+521−52-220000−1−52−1+521+521−52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−222−21+52−1−521−52−1+52−ζ21+ζ39ζ21−ζ39−ζ29+ζ31ζ29−ζ31ζ23−ζ37−ζ23+ζ37ζ7−ζ13−ζ7+ζ13ζ21−ζ39−ζ21+ζ39ζ29−ζ31−ζ29+ζ31−ζ23+ζ37ζ23−ζ37−ζ7+ζ13ζ7−ζ1300000000
χ5144444−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5-4-4−1+5−1−5−1+5−1−500004-41−51+51−51+500000000−1+5−1+5−1−5−1−51−51−51+51+500000000000000000000000000000000
χ5244444−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5-4-4−1+5−1−5−1+5−1−50000-441−51+51−51+5000000001−51−51+51+5−1+5−1+5−1−5−1−500000000000000000000000000000000
χ5344444−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5-4-4−1−5−1+5−1−5−1+500004-41+51−51+51−500000000−1−5−1−5−1+5−1+51+51+51−51−500000000000000000000000000000000
χ5444444−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5-4-4−1−5−1+5−1−5−1+50000-441+51−51+51−5000000001+51+51−51−5−1−5−1−5−1+5−1+500000000000000000000000000000000
χ55444-4-44444-4-4-4-4-4444-4-4000000-4-444000000000000000000000000000000000000000000000000
χ56444-4-4−1+5−1−5−1+5−1−51−51−51+51+5-44−1+5−1−51−51+50000001−51+5−1+5−1−500000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ1400000000000000000000000000000000
χ57444-4-4−1+5−1−5−1+5−1−51−51−51+51+5-44−1+5−1−51−51+50000001−51+5−1+5−1−5000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ1400000000000000000000000000000000
χ58444-4-4−1−5−1+5−1−5−1+51+51+51−51−5-44−1−5−1+51+51−50000001+51−5−1−5−1+5000000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ3800000000000000000000000000000000
χ59444-4-4−1−5−1+5−1−5−1+51+51+51−51−5-44−1−5−1+51+51−50000001+51−5−1−5−1+500000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ3800000000000000000000000000000000
χ6044-44-44444-4-4-4-400-4-444000000000000000000000000000000000000000000000000000000002i−2i
χ6144-44-44444-4-4-4-400-4-44400000000000000000000000000000000000000000000000000000000−2i2i
χ6244-4-444444444400-4-4-4-4000000000000000000000000000000000000000000000000002-2000000
χ6344-4-444444444400-4-4-4-400000000000000000000000000000000000000000000000000-22000000
χ6488-88-8−2+25−2−25−2+25−2−252−252−252+252+25002−252+25−2+25−2−250000000000000000000000000000000000000000000000000000000000
χ6588-88-8−2−25−2+25−2−25−2+252+252+252−252−25002+252−25−2−25−2+250000000000000000000000000000000000000000000000000000000000
χ6688-8-88−2+25−2−25−2+25−2−25−2+25−2+25−2−25−2−25002−252+252−252+250000000000000000000000000000000000000000000000000000000000
χ6788-8-88−2−25−2+25−2−25−2+25−2−25−2−25−2+25−2+25002+252−252+252−250000000000000000000000000000000000000000000000000000000000
χ688-800088-8-800000000000022−2200000022−2222−2222−2222−220000000000000000000000000000000000000000
χ698-800088-8-8000000000000−2222000000−2222−2222−2222−22220000000000000000000000000000000000000000
χ708-8000−2+25−2−252−252+25−4ζ22+4ζ384ζ22−4ζ384ζ6−4ζ14−4ζ6+4ζ140000000022−22000000−2ζ7+2ζ132ζ7−2ζ13−2ζ23+2ζ372ζ23−2ζ372ζ21−2ζ39−2ζ21+2ζ392ζ29−2ζ31−2ζ29+2ζ310000000000000000000000000000000000000000
χ718-8000−2+25−2−252−252+25−4ζ22+4ζ384ζ22−4ζ384ζ6−4ζ14−4ζ6+4ζ1400000000−22220000002ζ7−2ζ13−2ζ7+2ζ132ζ23−2ζ37−2ζ23+2ζ37−2ζ21+2ζ392ζ21−2ζ39−2ζ29+2ζ312ζ29−2ζ310000000000000000000000000000000000000000
χ728-8000−2+25−2−252−252+254ζ22−4ζ38−4ζ22+4ζ38−4ζ6+4ζ144ζ6−4ζ140000000022−22000000−2ζ23+2ζ372ζ23−2ζ37−2ζ7+2ζ132ζ7−2ζ132ζ29−2ζ31−2ζ29+2ζ312ζ21−2ζ39−2ζ21+2ζ390000000000000000000000000000000000000000
χ738-8000−2+25−2−252−252+254ζ22−4ζ38−4ζ22+4ζ38−4ζ6+4ζ144ζ6−4ζ1400000000−22220000002ζ23−2ζ37−2ζ23+2ζ372ζ7−2ζ13−2ζ7+2ζ13−2ζ29+2ζ312ζ29−2ζ31−2ζ21+2ζ392ζ21−2ζ390000000000000000000000000000000000000000
χ748-8000−2−25−2+252+252−254ζ6−4ζ14−4ζ6+4ζ144ζ22−4ζ38−4ζ22+4ζ380000000022−220000002ζ21−2ζ39−2ζ21+2ζ392ζ29−2ζ31−2ζ29+2ζ31−2ζ23+2ζ372ζ23−2ζ37−2ζ7+2ζ132ζ7−2ζ130000000000000000000000000000000000000000
χ758-8000−2−25−2+252+252−254ζ6−4ζ14−4ζ6+4ζ144ζ22−4ζ38−4ζ22+4ζ3800000000−2222000000−2ζ21+2ζ392ζ21−2ζ39−2ζ29+2ζ312ζ29−2ζ312ζ23−2ζ37−2ζ23+2ζ372ζ7−2ζ13−2ζ7+2ζ130000000000000000000000000000000000000000
χ768-8000−2−25−2+252+252−25−4ζ6+4ζ144ζ6−4ζ14−4ζ22+4ζ384ζ22−4ζ380000000022−220000002ζ29−2ζ31−2ζ29+2ζ312ζ21−2ζ39−2ζ21+2ζ39−2ζ7+2ζ132ζ7−2ζ13−2ζ23+2ζ372ζ23−2ζ370000000000000000000000000000000000000000
χ778-8000−2−25−2+252+252−25−4ζ6+4ζ144ζ6−4ζ14−4ζ22+4ζ384ζ22−4ζ3800000000−2222000000−2ζ29+2ζ312ζ29−2ζ31−2ζ21+2ζ392ζ21−2ζ392ζ7−2ζ13−2ζ7+2ζ132ζ23−2ζ37−2ζ23+2ζ370000000000000000000000000000000000000000

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