Finite Group Databasebeta

← Group #13172012

Character table — Group #13172012

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444444444666666668888888888888121212121212121212121212121212121212121212121212121218182424242424242424242424243636363636363636363636727272108108
order1222333666666666233366666666666666666224412121212366666666666624446666121212121212121212121212121212121212446666661212121212124444412121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-111-11111111111-1-1111111111111-1-111-1-1-1111-1-11-1-1-1-111-1-111-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11-11-1-111-1-1-1-11-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-11111111111111-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111-1-1-11-11-1-1-1-1-1-1-111-111
χ51111111111111111111111111111111111111-1-111111111111111111111-111-1-1-1-1-1-11111111111111111-1-111-1-1111-1-1-111-11-11-1-1-1-1-1-1-111-1-1-1
χ61111111111111111111111111111111111111-1-11111111111111111111-1-11-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-1111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-11-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1-1111-1-1-1-111-1-111-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ91111111111111111-1111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1111-1-1-1-11-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-111-1-1-1-1-1-1111-11-11
χ101111111111111111-1111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1111-1-1-1-1-1-1-111111-1-111-1-111-1-11111-1-1-1-111-1-111-1-11-1-1-111-1-1-111-1-11111-11-11-1
χ111111111111111111-1111-1-1-1-111-1-1-1-1111111111-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-11-11-11111-1-1-1-111-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-11-111-111-1-1-1-1-1111-1
χ121111111111111111-1111-1-1-1-111-1-1-1-1111111111-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-11-1-1-11111-1-111111-1-11-1-1-11
χ131111111111111111-1111-1-1-1-111-1-1-1-11111111-1-11111111-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1111-1-111-1-111111-1-11-1-11-1
χ141111111111111111-1111-1-1-1-111-1-1-1-11111111-1-11111111-1-1-1-1-1111-1-1-1-1-11-11-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-111-111-1-1-1-1-111-11
χ151111111111111111-1111-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-1111-1-1-1-1-111-1-111-1-111-1-1-1-111111111-1-111-1111-1-1-1-1-111-1-11111-11-1-11
χ161111111111111111-1111-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-1-1111-1-1-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-1111111-111-1-1-1-1-1-1111-111-1
χ17222222-1-122222-1-1222-1-12222222222-1-1-1-1-1-1222000000-1-1-1-1-1-1-1-1-1-1-1-1-1220222-1-1220000-1-10000000000002-1-1-1-1-12-1-1-1-1-10020200-1-10000-100
χ18222222-1-122222-1-1222-1-12222222222-1-1-1-1-1-1222000000-1-1-1-1-1-1-1-1-1-1-1-1-1-220-222-1-122000011000000000000-21-1-111-2-1-1-11100-20-200110000100
χ19222222-1-122222-1-1222-1-12222222222-1-1-1-1-1-12-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-12-202-2-211-2-20000-1-10000000000002-111-1-12111-1-100-20-200110000100
χ20222222-1-122222-1-1222-1-12222222222-1-1-1-1-1-12-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20-2-2-211-2-2000011000000000000-211111-2111110020200-1-10000-100
χ21222222-1-122222-1-12-22-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-1222000000-111111-1-1-111112-20-222-1-1-2-20000110000000000002-1-1-1-1-1-2111110020-200110000-100
χ22222222-1-122222-1-12-22-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-1222000000-111111-1-1-11111-2-20222-1-1-2-20000-1-1000000000000-21-1-1112111-1-100-20200-1-10000100
χ23222222-1-122222-1-12-22-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-12-2-2000000-111111-1-1-11111220-2-2-211220000110000000000002-111-1-1-2-1-1-11100-20200-1-10000100
χ24222222-1-122222-1-12-22-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-12-2-2000000-111111-1-1-11111-2202-2-211220000-1-1000000000000-2111112-1-1-1-1-10020-200110000-100
χ2522222-12222-1-1-12222-12-122-1-1-1-1-1-1-1-122-1-12-1-100222222-1222-1-1-1-1-1-1-1-1-12022000000-1-1-1-12222-1-1-1-1-1-1-1-100-1200-1-1-1000-1-102020000000-1-1000
χ2622222-12222-1-1-12222-12-122-1-1-1-1-1-1-1-122-1-12-1-100222222-1222-1-1-1-1-1-1-1-1-1-202-2000000-1-1-1-1-2-222-1-1-1-1-1-1-1-1001-200111000110-20-2000000011000
χ2722222-12222-1-1-12222-12-122-1-1-1-1-1-1-1-122-1-12-1-100-2-2-2-2-2-2-1222-1-1-1-1-1-1-1-1-120-22000000111122-2-21111111100-1200-1-1-1000-1-10-20-2000000011000
χ2822222-12222-1-1-12222-12-122-1-1-1-1-1-1-1-122-1-12-1-100-2-2-2-2-2-2-1222-1-1-1-1-1-1-1-1-1-20-2-20000001111-2-2-2-211111111001-2001110001102020000000-1-1000
χ2922222-12222-1-1-1222-2-12-1-2-211-1-1111122-1-12-1-100222222-1-2-2-211-1-1-1111120-2-2000000-1-111-2-2-2-2-1-1-1-1111100-1200-1-1100011020-20000000-11000
χ3022222-12222-1-1-1222-2-12-1-2-211-1-1111122-1-12-1-100222222-1-2-2-211-1-1-11111-20-22000000-1-11122-2-2-1-1-1-11111001-20011-1000-1-10-20200000001-1000
χ3122222-12222-1-1-1222-2-12-1-2-211-1-1111122-1-12-1-100-2-2-2-2-2-2-1-2-2-211-1-1-11111202-200000011-1-1-2-2221111-1-1-1-100-1200-1-11000110-20200000001-1000
χ3222222-12222-1-1-1222-2-12-1-2-211-1-1111122-1-12-1-100-2-2-2-2-2-2-1-2-2-211-1-1-11111-202200000011-1-122221111-1-1-1-1001-20011-1000-1-1020-20000000-11000
χ332222-1222-1-122222-12-1-12-1-122-1-1-1-1-1-1-1-122-12-12222-1-1-1-1-12-1-122-1-1-1-1-1-1-10220-1-122-1-1222200-1-1-1-1-1-1-1-1-1-12200-1-10002-1-10020000-1-100-1-100000
χ342222-1222-1-122222-12-1-12-1-122-1-1-1-1-1-1-1-122-12-122-2-21111-12-1-122-1-1-1-1-1-1-102-20-1-122-1-1-2-2-2-2001111111111-2-200-1-10002-1-100-2000011001100000
χ352222-1222-1-122222-12-1-12-1-122-1-1-1-1-1-1-1-122-12-1-2-222-1-1-1-1-12-1-122-1-1-1-1-1-1-10-22011-2-211222200-1-1-1-1-1-1-1-1-1-1-2-20011000-21100-2000011001100000
χ362222-1222-1-122222-12-1-12-1-122-1-1-1-1-1-1-1-122-12-1-2-2-2-21111-12-1-122-1-1-1-1-1-1-10-2-2011-2-211-2-2-2-2001111111111220011000-2110020000-1-100-1-100000
χ372222-1222-1-122222-1-2-1-1211-2-2-1-11111-1-122-12-12222-1-1-1-1-1-211-2-2-1-1-111110-2-20-1-1221122-2-20011-1-1-1-111112200-1-1000-21100-200001100-1-100000
χ382222-1222-1-122222-1-2-1-1211-2-2-1-11111-1-122-12-122-2-21111-1-211-2-2-1-1-111110-220-1-12211-2-22200-1-11111-1-1-1-1-2-200-1-1000-2110020000-1-1001100000
χ392222-1222-1-122222-1-2-1-1211-2-2-1-11111-1-122-12-1-2-222-1-1-1-1-1-211-2-2-1-1-1111102-2011-2-2-1-122-2-20011-1-1-1-11111-2-200110002-1-10020000-1-1001100000
χ402222-1222-1-122222-1-2-1-1211-2-2-1-11111-1-122-12-1-2-2-2-21111-1-211-2-2-1-1-11111022011-2-2-1-1-2-22200-1-11111-1-1-1-12200110002-1-100-200001100-1-100000
χ412-22-2222-22-22-2-22-2-2022200002-20000-2-22-22-2-22-22i−2i2i2i−2i−2i2000002-2-2000000002-22-2002i−2i0000002i2i−2i−2i00002i−2i002-2000000000000000002i−2i00000
χ422-22-2222-22-22-2-22-2-2022200002-20000-2-22-22-2-22-2−2i2i−2i−2i2i2i2000002-2-2000000002-22-200−2i2i000000−2i−2i2i2i0000−2i2i002-200000000000000000−2i2i00000
χ432-22-2222-22-22-2-22-2-2022200002-20000-2-22-22-2-2-222i−2i2i2i−2i−2i2000002-2-200000000-22-22002i−2i0000002i2i−2i−2i0000−2i2i00-2200000000000000000−2i2i00000
χ442-22-2222-22-22-2-22-2-2022200002-20000-2-22-22-2-2-22−2i2i−2i−2i2i2i2000002-2-200000000-22-2200−2i2i000000−2i−2i2i2i00002i−2i00-22000000000000000002i−2i00000
χ452-22-2-122-2-112-2-22-210-1-12−i3i300-11−i3−i3i3i3112-2-1-212-22i−2i−i−iii-10−i3i300-111−i3−i3i3i30000-112-2−i3i32i−2i00003−3−i−iii33−3−32i−2i00-110000−i3i300000003−300−ii00000
χ462-22-2-122-2-112-2-22-210-1-12−i3i300-11−i3−i3i3i3112-2-1-212-2−2i2iii−i−i-10−i3i300-111−i3−i3i3i30000-112-2−i3i3−2i2i0000−33ii−i−i−3−333−2i2i00-110000−i3i30000000−3300i−i00000
χ472-22-2-122-2-112-2-22-210-1-12−i3i300-11−i3−i3i3i3112-2-1-21-222i−2i−i−iii-10−i3i300-111−i3−i3i3i300001-1-22i3−i32i−2i00003−3−i−iii33−3−3−2i2i001-10000i3−i30000000−3300i−i00000
χ482-22-2-122-2-112-2-22-210-1-12−i3i300-11−i3−i3i3i3112-2-1-21-22−2i2iii−i−i-10−i3i300-111−i3−i3i3i300001-1-22i3−i3−2i2i0000−33ii−i−i−3−3332i−2i001-10000i3−i300000003−300−ii00000
χ492-22-2-122-2-112-2-22-210-1-12i3−i300-11i3i3−i3−i3112-2-1-212-22i−2i−i−iii-10i3−i300-111i3i3−i3−i30000-112-2i3−i32i−2i0000−33−i−iii−3−3332i−2i00-110000i3−i30000000−3300−ii00000
χ502-22-2-122-2-112-2-22-210-1-12i3−i300-11i3i3−i3−i3112-2-1-212-2−2i2iii−i−i-10i3−i300-111i3i3−i3−i30000-112-2i3−i3−2i2i00003−3ii−i−i33−3−3−2i2i00-110000i3−i300000003−300i−i00000
χ512-22-2-122-2-112-2-22-210-1-12i3−i300-11i3i3−i3−i3112-2-1-21-222i−2i−i−iii-10i3−i300-111i3i3−i3−i300001-1-22−i3i32i−2i0000−33−i−iii−3−333−2i2i001-10000−i3i300000003−300i−i00000
χ522-22-2-122-2-112-2-22-210-1-12i3−i300-11i3i3−i3−i3112-2-1-21-22−2i2iii−i−i-10i3−i300-111i3i3−i3−i300001-1-22−i3i3−2i2i00003−3ii−i−i33−3−32i−2i001-10000−i3i30000000−3300−ii00000
χ5344444-2-2-244-2-2-2-2-244-2-2144-2-2-2-2-2-2-2-2-2-211-21-2000000001-2-2-211111111140040000000000-2-2000000000000-2-20011-2000110000000000000000
χ5444444-2-2-244-2-2-2-2-244-2-2144-2-2-2-2-2-2-2-2-2-211-21-2000000001-2-2-2111111111-400-40000000000220000000000002200-1-12000-1-10000000000000000
χ5544444-2-2-244-2-2-2-2-24-4-2-21-4-422-2-22222-2-211-21-2000000001222-1-1111-1-1-1-1400-4000000000022000000000000-2-200112000-1-10000000000000000
χ5644444-2-2-244-2-2-2-2-24-4-2-21-4-422-2-22222-2-211-21-2000000001222-1-1111-1-1-1-1-40040000000000-2-20000000000002200-1-1-2000110000000000000000
χ574444-24-2-2-2-2444-2-2-24-21-2-2-244-2-2-2-2-2-211-2-21-2-2440000001-211-2-211111110400-2-2-2-2-2-20000000000000000000011000-211000000000000000000
χ584444-24-2-2-2-2444-2-2-24-21-2-2-244-2-2-2-2-2-211-2-21-2-2-4-40000001-211-2-211111110-40022222200000000000000000000-1-10002-1-1000000000000000000
χ594444-24-2-2-2-2444-2-2-2-4-21-222-4-4-2-2222211-2-21-2-24400000012-1-122111-1-1-1-10-400-2-2-2-22200000000000000000000110002-1-1000000000000000000
χ604444-24-2-2-2-2444-2-2-2-4-21-222-4-4-2-2222211-2-21-2-2-4-400000012-1-122111-1-1-1-104002222-2-200000000000000000000-1-1000-211000000000000000000
χ614444-2-244-2-2-2-2-244-241-2-2-2-2-2-2111111-2-2-2-2-2-210044-2-2-2-214-2-2-2-211111110040000000-2-2-2-200-2-211111111000000000000000000000000000000
χ624444-2-244-2-2-2-2-244-241-2-2-2-2-2-2111111-2-2-2-2-2-2100-4-4222214-2-2-2-2111111100-4000000022220022-1-1-1-1-1-1-1-1000000000000000000000000000000
χ634444-2-244-2-2-2-2-244-2-41-2-2222211-1-1-1-1-2-2-2-2-2-210044-2-2-2-21-42222111-1-1-1-100-40000000-2-22200221111-1-1-1-1000000000000000000000000000000
χ644444-2-244-2-2-2-2-244-2-41-2-2222211-1-1-1-1-2-2-2-2-2-2100-4-422221-42222111-1-1-1-1004000000022-2-200-2-2-1-1-1-11111000000000000000000000000000000
χ6544-4-44444-44-44-4-4-4-404440000-4400004-4-44-4-4-400000000400000-44-4000000000000000000000000000000000000000000000000000000000000
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χ7344-4-4-2-2442-22-22-4-4201-2-20000-113-33-3-222-222-10000−2323−2323100000-11-13-33-3000000000000−232300003−33−33−33−3000000000000000000000000000000
χ7444-4-4-2-2442-22-22-4-4201-2-20000-11-33-33-222-222-1000023−2323−23100000-11-1-33-33000000000000−23230000−33−333−33−3000000000000000000000000000000
χ7544-4-4-2-2442-22-22-4-4201-2-20000-11-33-33-222-222-10000−2323−2323100000-11-1-33-3300000000000023−2300003−33−3−33−33000000000000000000000000000000
χ764-44-444-224-44-4-4-22-404-2-200004-4000022-22-22-44-4000000-200000-222000000004-4-220000000000000000000000-22000000000000000000000000
χ774-44-444-224-44-4-4-22-404-2-200004-4000022-22-22-4-44000000-200000-22200000000-442-200000000000000000000002-2000000000000000000000000
χ784-44-44-24-44-4-2224-4-40-24-20000-220000-4-4-22422004i−4i4i4i−4i−4i-200000-22200000000000000−2i2i000000−2i−2i2i2i0000000000000000000000000000000000
χ794-44-44-24-44-4-2224-4-40-24-20000-220000-4-4-2242200−4i4i−4i−4i4i4i-200000-222000000000000002i−2i0000002i2i−2i−2i0000000000000000000000000000000000
χ804-44-4-24-22-224-4-4-2220-21-2−2i32i300-22−2i3−2i32i32i3-1-1-221224-400000010i3−i3001-1-1i3i3−i3−i30000-22-22−2i32i3000000000000000000001-10000i3−i3000000000000000000
χ814-44-4-24-22-224-4-4-2220-21-2−2i32i300-22−2i3−2i32i32i3-1-1-22122-4400000010i3−i3001-1-1i3i3−i3−i300002-22-22i3−2i300000000000000000000-110000−i3i3000000000000000000
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χ864-44-4-2-24-4-22-2224-4201-2-22i3−2i3001-1−i3−i3i3i322-22-22-1004i−4i−2i−2i2i2i102i3−2i3001-1-1−i3−i3i3i30000000000−2i2i0000−2323ii−i−i33−3−3000000000000000000000000000000
χ874-44-4-2-24-4-22-2224-4201-2-22i3−2i3001-1−i3−i3i3i322-22-22-100−4i4i2i2i−2i−2i102i3−2i3001-1-1−i3−i3i3i300000000002i−2i000023−23−i−iii−3−333000000000000000000000000000000
χ884-4-44444-4-4-4-4-44-44404440000-4-40000-44-4-4-44400000000400000-4-44000000000000000000000000000000000000000000000000000000000000
χ894-4-4444-22-4-4-4-442-2404-2-20000-4-400002-2222-2400000000-20000022-2000000000000000000−2i32i30000000000000000000000−2i32i30000000000000000
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χ914-4-444-24-4-4-422-2-4440-24-200−2i32i322−2i32i32i3−2i3-4422-4-2-200000000-2000−2i32i322-2−2i32i32i3−2i300000000000000000000000000000000000000000000000000000000
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χ984-4-44-244-422-4-44-44-20-2-2400002200002-2-4-424-200002i3−2i3−2i32i3-20000022-200000000000000000000002i3−2i3−2i32i30000000000000000000000000000000000
χ994-4-44-2-24-42222-2-44-201-2-200−2i32i3-1-1i3−i3−i3i32-2222-210000−2i32i32i3−2i31000−2i32i3-1-11i3−i3−i3i3000000000000000000i3−i3−i3i33-3-33000000000000000000000000000000
χ1004-4-44-2-24-42222-2-44-201-2-200−2i32i3-1-1i3−i3−i3i32-2222-2100002i3−2i3−2i32i31000−2i32i3-1-11i3−i3−i3i3000000000000000000−i3i3i3−i3-333-3000000000000000000000000000000
χ1014-4-44-2-24-42222-2-44-201-2-2002i3−2i3-1-1−i3i3i3−i32-2222-210000−2i32i32i3−2i310002i3−2i3-1-11−i3i3i3−i3000000000000000000i3−i3−i3i3-333-3000000000000000000000000000000
χ1024-4-44-2-24-42222-2-44-201-2-2002i3−2i3-1-1−i3i3i3−i32-2222-2100002i3−2i3−2i32i310002i3−2i3-1-11−i3i3i3−i3000000000000000000−i3i3i3−i33-3-33000000000000000000000000000000
χ1038888-4-4-4-4-4-4-4-4-4-4-4-48222-4-4-4-4222222222222200000000-1-42222-1-1-1-1-1-1-100000000000000000000000000000000000000000000000000000000
χ1048888-4-4-4-4-4-4-4-4-4-4-4-4-8222444422-2-2-2-2222222200000000-14-2-2-2-2-1-1-1111100000000000000000000000000000000000000000000000000000000
χ10588-8-88-4-4-4-884-4444-80-4-4200004-40000-44-224-2400000000200000-22-2000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-48-4-44-4-88-84440-42-400004-400002-24-4-24400000000200000-22-2000000000000000000000000000000000000000000000000000000000000
χ10788-8-8-4-4-4-44-44-4444402220000-226-66-62-2-22-2-2-200000000-1000001-11-33-3300000000000000000000000000000000000000000000000000000000
χ10888-8-8-4-4-4-44-44-4444402220000-22-66-662-2-22-2-2-200000000-1000001-113-33-300000000000000000000000000000000000000000000000000000000
χ1098-88-88-4-448-8-444-44-80-4-420000-440000442-2-4-24000000002000002-2-2000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4-44-44-444-4440222−4i34i3002-22i32i3−2i3−2i3-2-22-22-2-200000000-102i3−2i300-111−i3−i3i3i300000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-44-44-444-44402224i3−4i3002-2−2i3−2i32i32i3-2-22-22-2-200000000-10−2i32i300-111i3i3−i3−i300000000000000000000000000000000000000000000000000000000
χ1128-8-88-48-4444-8-884-4-40-42-40000440000-2244-2-4-400000000200000-2-22000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-444444-44-4-4022200−4i34i3-2-22i3−2i3−2i32i3-22-2-2-22200000000-10002i3−2i311-1−i3i3i3−i300000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-444444-44-4-40222004i3−4i3-2-2−2i32i32i3−2i3-22-2-2-22200000000-1000−2i32i311-1i3−i3−i3i300000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).