Finite Group Databasebeta

← Group #14514446

Character table — Group #14514446

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112
size111122333366888888881212121212121212222244666612121616161616161616242424242424242422224466661212161616161616161624242424242424245555101015151515303040404040404040406060606060606060
order124424224424366612121212224444445102020102010102020102015303030606060601010202020202020510202010201010202010201530303060606060101020202020202022442422442466661212121222444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1
χ31111-1-11111-1-11-1-1111-1-11-11-111-1-11111-1-11111-1-11-1-1111-1-11-11-111-1-11111-1-11111-1-11-1-1111-1-11-11-111-1-11111-1-11111-1-11-1-1111-1-11-11-111-1-1
χ41111-1-11111-1-11-1-1111-1-1-11-11-1-1111111-1-11111-1-11-1-1111-1-1-11-11-1-1111111-1-11111-1-11-1-1111-1-1-11-11-1-1111111-1-11111-1-11-1-1111-1-1-11-11-1-111
χ511-1-11-111-1-11-11111-1-1-1-11-1-111-11-111-1-11-111-1-11-11111-1-1-1-11-1-111-11-111-1-11-111-1-11-11111-1-1-1-11-1-111-11-111-1-11-111-1-11-11111-1-1-1-11-1-111-11-1
χ611-1-11-111-1-11-11111-1-1-1-1-111-1-11-1111-1-11-111-1-11-11111-1-1-1-1-111-1-11-1111-1-11-111-1-11-11111-1-1-1-1-111-1-11-1111-1-11-111-1-11-11111-1-1-1-1-111-1-11-11
χ711-1-1-1111-1-1-111-1-11-1-11111-1-11-1-1111-1-1-1111-1-1-111-1-11-1-11111-1-11-1-1111-1-1-1111-1-1-111-1-11-1-11111-1-11-1-1111-1-1-1111-1-1-111-1-11-1-11111-1-11-1-11
χ811-1-1-1111-1-1-111-1-11-1-111-1-111-111-111-1-1-1111-1-1-111-1-11-1-111-1-111-111-111-1-1-1111-1-1-111-1-11-1-111-1-111-111-111-1-1-1111-1-1-111-1-11-1-111-1-111-111-1
χ9222222222222-1-1-1-1-1-1-1-100000000222222222222-1-1-1-1-1-1-1-100000000222222222222-1-1-1-1-1-1-1-100000000222222222222-1-1-1-1-1-1-1-100000000
χ102222-2-22222-2-2-111-1-1-111000000002222-2-22222-2-2-111-1-1-111000000002222-2-22222-2-2-111-1-1-111000000002222-2-22222-2-2-111-1-1-11100000000
χ1122-2-22-222-2-22-2-1-1-1-111110000000022-2-22-222-2-22-2-1-1-1-111110000000022-2-22-222-2-22-2-1-1-1-111110000000022-2-22-222-2-22-2-1-1-1-1111100000000
χ1222-2-2-2222-2-2-22-111-111-1-10000000022-2-2-2222-2-2-22-111-111-1-10000000022-2-2-2222-2-2-22-111-111-1-10000000022-2-2-2222-2-2-22-111-111-1-100000000
χ132-22i−2i002-22i−2i00200-22i−2i00000000002-22i−2i002-22i−2i00200-22i−2i00000000002-22i−2i002-22i−2i00200-22i−2i00000000002-22i−2i002-22i−2i00200-22i−2i0000000000
χ142-22i−2i002-22i−2i00-1−i3i31−ii3−3000000002-22i−2i002-22i−2i00-1−i3i31−ii3−3000000002-22i−2i002-22i−2i00-1−i3i31−ii3−3000000002-22i−2i002-22i−2i00-1−i3i31−ii3−300000000
χ152-22i−2i002-22i−2i00-1i3−i31−ii−33000000002-22i−2i002-22i−2i00-1i3−i31−ii−33000000002-22i−2i002-22i−2i00-1i3−i31−ii−33000000002-22i−2i002-22i−2i00-1i3−i31−ii−3300000000
χ162-2−2i2i002-2−2i2i00200-2−2i2i00000000002-2−2i2i002-2−2i2i00200-2−2i2i00000000002-2−2i2i002-2−2i2i00200-2−2i2i00000000002-2−2i2i002-2−2i2i00200-2−2i2i0000000000
χ172-2−2i2i002-2−2i2i00-1−i3i31i−i−33000000002-2−2i2i002-2−2i2i00-1−i3i31i−i−33000000002-2−2i2i002-2−2i2i00-1−i3i31i−i−33000000002-2−2i2i002-2−2i2i00-1−i3i31i−i−3300000000
χ182-2−2i2i002-2−2i2i00-1i3−i31i−i3−3000000002-2−2i2i002-2−2i2i00-1i3−i31i−i3−3000000002-2−2i2i002-2−2i2i00-1i3−i31i−i3−3000000002-2−2i2i002-2−2i2i00-1i3−i31i−i3−300000000
χ19333333-1-1-1-1-1-1000000001111-1-1-1-1333333-1-1-1-1-1-1000000001111-1-1-1-1333333-1-1-1-1-1-1000000001111-1-1-1-1333333-1-1-1-1-1-1000000001111-1-1-1-1
χ20333333-1-1-1-1-1-100000000-1-1-1-11111333333-1-1-1-1-1-100000000-1-1-1-11111333333-1-1-1-1-1-100000000-1-1-1-11111333333-1-1-1-1-1-100000000-1-1-1-11111
χ213333-3-3-1-1-1-111000000001-11-1-1-1113333-3-3-1-1-1-111000000001-11-1-1-1113333-3-3-1-1-1-111000000001-11-1-1-1113333-3-3-1-1-1-111000000001-11-1-1-111
χ223333-3-3-1-1-1-11100000000-11-1111-1-13333-3-3-1-1-1-11100000000-11-1111-1-13333-3-3-1-1-1-11100000000-11-1111-1-13333-3-3-1-1-1-11100000000-11-1111-1-1
χ2333-3-33-3-1-111-11000000001-1-11-11-1133-3-33-3-1-111-11000000001-1-11-11-1133-3-33-3-1-111-11000000001-1-11-11-1133-3-33-3-1-111-11000000001-1-11-11-11
χ2433-3-33-3-1-111-1100000000-111-11-11-133-3-33-3-1-111-1100000000-111-11-11-133-3-33-3-1-111-1100000000-111-11-11-133-3-33-3-1-111-1100000000-111-11-11-1
χ2533-3-3-33-1-1111-10000000011-1-1-111-133-3-3-33-1-1111-10000000011-1-1-111-133-3-3-33-1-1111-10000000011-1-1-111-133-3-3-33-1-1111-10000000011-1-1-111-1
χ2633-3-3-33-1-1111-100000000-1-1111-1-1133-3-3-33-1-1111-100000000-1-1111-1-1133-3-3-33-1-1111-100000000-1-1111-1-1133-3-3-33-1-1111-100000000-1-1111-1-11
χ276-66i−6i00-22−2i2i0000000000000000006-66i−6i00-22−2i2i0000000000000000006-66i−6i00-22−2i2i0000000000000000006-66i−6i00-22−2i2i000000000000000000
χ286-6−6i6i00-222i−2i0000000000000000006-6−6i6i00-222i−2i0000000000000000006-6−6i6i00-222i−2i0000000000000000006-6−6i6i00-222i−2i000000000000000000
χ29111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3011111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ311111-1-11111-1-11-1-1111-1-11-11-111-1-11111-1-11111-1-11-1-1111-1-11-11-111-1-11111-1-11111-1-11-1-1111-1-11-11-111-1-1-1-1-1-111-1-1-1-111-111-1-1-111-11-11-1-111
χ321111-1-11111-1-11-1-1111-1-1-11-11-1-1111111-1-11111-1-11-1-1111-1-1-11-11-1-1111111-1-11111-1-11-1-1111-1-1-11-11-1-111-1-1-1-111-1-1-1-111-111-1-1-1111-11-111-1-1
χ3311-1-11-111-1-11-11111-1-1-1-11-1-111-11-111-1-11-111-1-11-11111-1-1-1-11-1-111-11-111-1-11-111-1-11-11111-1-1-1-11-1-111-11-1-1-111-11-1-111-11-1-1-1-11111-111-1-11-11
χ3411-1-11-111-1-11-11111-1-1-1-1-111-1-11-1111-1-11-111-1-11-11111-1-1-1-1-111-1-11-1111-1-11-111-1-11-11111-1-1-1-1-111-1-11-11-1-111-11-1-111-11-1-1-1-111111-1-111-11-1
χ3511-1-1-1111-1-1-111-1-11-1-11111-1-11-1-1111-1-1-1111-1-1-111-1-11-1-11111-1-11-1-1111-1-1-1111-1-1-111-1-11-1-11111-1-11-1-11-1-1111-1-1-1111-1-111-111-1-1-1-111-111-1
χ3611-1-1-1111-1-1-111-1-11-1-111-1-111-111-111-1-1-1111-1-1-111-1-11-1-111-1-111-111-111-1-1-1111-1-1-111-1-11-1-111-1-111-111-1-1-1111-1-1-1111-1-111-111-1-111-1-11-1-11
χ37222222222222-1-1-1-1-1-1-1-100000000222222222222-1-1-1-1-1-1-1-100000000222222222222-1-1-1-1-1-1-1-100000000-2-2-2-2-2-2-2-2-2-2-2-21111111100000000
χ382222-2-22222-2-2-111-1-1-111000000002222-2-22222-2-2-111-1-1-111000000002222-2-22222-2-2-111-1-1-11100000000-2-2-2-222-2-2-2-2221-1-1111-1-100000000
χ3922-2-22-222-2-22-2-1-1-1-111110000000022-2-22-222-2-22-2-1-1-1-111110000000022-2-22-222-2-22-2-1-1-1-1111100000000-2-222-22-2-222-221111-1-1-1-100000000
χ4022-2-2-2222-2-2-22-111-111-1-10000000022-2-2-2222-2-2-22-111-111-1-10000000022-2-2-2222-2-2-22-111-111-1-100000000-2-2222-2-2-2222-21-1-11-1-11100000000
χ412-22i−2i002-22i−2i00200-22i−2i00000000002-22i−2i002-22i−2i00200-22i−2i00000000002-22i−2i002-22i−2i00200-22i−2i0000000000-22−2i2i00-22−2i2i00-2002−2i2i0000000000
χ422-22i−2i002-22i−2i00-1−i3i31−ii3−3000000002-22i−2i002-22i−2i00-1−i3i31−ii3−3000000002-22i−2i002-22i−2i00-1−i3i31−ii3−300000000-22−2i2i00-22−2i2i001i3−i3-1i−i−3300000000
χ432-22i−2i002-22i−2i00-1i3−i31−ii−33000000002-22i−2i002-22i−2i00-1i3−i31−ii−33000000002-22i−2i002-22i−2i00-1i3−i31−ii−3300000000-22−2i2i00-22−2i2i001−i3i3-1i−i3−300000000
χ442-2−2i2i002-2−2i2i00200-2−2i2i00000000002-2−2i2i002-2−2i2i00200-2−2i2i00000000002-2−2i2i002-2−2i2i00200-2−2i2i0000000000-222i−2i00-222i−2i00-20022i−2i0000000000
χ452-2−2i2i002-2−2i2i00-1−i3i31i−i−33000000002-2−2i2i002-2−2i2i00-1−i3i31i−i−33000000002-2−2i2i002-2−2i2i00-1−i3i31i−i−3300000000-222i−2i00-222i−2i001i3−i3-1−ii3−300000000
χ462-2−2i2i002-2−2i2i00-1i3−i31i−i3−3000000002-2−2i2i002-2−2i2i00-1i3−i31i−i3−3000000002-2−2i2i002-2−2i2i00-1i3−i31i−i3−300000000-222i−2i00-222i−2i001−i3i3-1−ii−3300000000
χ47333333-1-1-1-1-1-1000000001111-1-1-1-1333333-1-1-1-1-1-1000000001111-1-1-1-1333333-1-1-1-1-1-1000000001111-1-1-1-1-3-3-3-3-3-311111100000000-1-1-1-11111
χ48333333-1-1-1-1-1-100000000-1-1-1-11111333333-1-1-1-1-1-100000000-1-1-1-11111333333-1-1-1-1-1-100000000-1-1-1-11111-3-3-3-3-3-3111111000000001111-1-1-1-1
χ493333-3-3-1-1-1-111000000001-11-1-1-1113333-3-3-1-1-1-111000000001-11-1-1-1113333-3-3-1-1-1-111000000001-11-1-1-111-3-3-3-3331111-1-100000000-11-1111-1-1
χ503333-3-3-1-1-1-11100000000-11-1111-1-13333-3-3-1-1-1-11100000000-11-1111-1-13333-3-3-1-1-1-11100000000-11-1111-1-1-3-3-3-3331111-1-1000000001-11-1-1-111
χ5133-3-33-3-1-111-11000000001-1-11-11-1133-3-33-3-1-111-11000000001-1-11-11-1133-3-33-3-1-111-11000000001-1-11-11-11-3-333-3311-1-11-100000000-111-11-11-1
χ5233-3-33-3-1-111-1100000000-111-11-11-133-3-33-3-1-111-1100000000-111-11-11-133-3-33-3-1-111-1100000000-111-11-11-1-3-333-3311-1-11-1000000001-1-11-11-11
χ5333-3-3-33-1-1111-10000000011-1-1-111-133-3-3-33-1-1111-10000000011-1-1-111-133-3-3-33-1-1111-10000000011-1-1-111-1-3-3333-311-1-1-1100000000-1-1111-1-11
χ5433-3-3-33-1-1111-100000000-1-1111-1-1133-3-3-33-1-1111-100000000-1-1111-1-1133-3-3-33-1-1111-100000000-1-1111-1-11-3-3333-311-1-1-110000000011-1-1-111-1
χ556-66i−6i00-22−2i2i0000000000000000006-66i−6i00-22−2i2i0000000000000000006-66i−6i00-22−2i2i000000000000000000-66−6i6i002-22i−2i000000000000000000
χ566-6−6i6i00-222i−2i0000000000000000006-6−6i6i00-222i−2i0000000000000000006-6−6i6i00-222i−2i000000000000000000-666i−6i002-2−2i2i000000000000000000
χ572222222222222222222222222222−1+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+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−520000000000000000000000000000
χ5822222222222222222222-2-2-2-2-2-2-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+521+521+520000000000000000000000000000
χ592222-2-22222-2-22-2-2222-2-22-22-222-2-2−1+52−1+52−1+52−1+521−521−52−1+52−1+52−1+52−1+521−521−52−1+521−521−52−1+52−1+52−1+521−521−52−1+521−52−1+521−52−1+52−1+521−521−52−1−52−1−52−1−52−1−521+521+52−1−52−1−52−1−52−1−521+521+52−1−521+521+52−1−52−1−52−1−521+521+52−1−521+52−1−521+52−1−52−1−521+521+520000000000000000000000000000
χ602222-2-22222-2-22-2-2222-2-2-22-22-2-222−1+52−1+52−1+52−1+521−521−52−1+52−1+52−1+52−1+521−521−52−1+521−521−52−1+52−1+52−1+521−521−521−52−1+521−52−1+521−521−52−1+52−1+52−1−52−1−52−1−52−1−521+521+52−1−52−1−52−1−52−1−521+521+52−1−521+521+52−1−52−1−52−1−521+521+521+52−1−521+52−1−521+521+52−1−52−1−520000000000000000000000000000
χ6122-2-22-222-2-22-22222-2-2-2-22-2-222-22-2−1+52−1+521−521−52−1+521−52−1+52−1+521−521−52−1+521−52−1+52−1+52−1+52−1+521−521−521−521−52−1+521−521−52−1+52−1+521−52−1+521−52−1−52−1−521+521+52−1−521+52−1−52−1−521+521+52−1−521+52−1−52−1−52−1−52−1−521+521+521+521+52−1−521+521+52−1−52−1−521+52−1−521+520000000000000000000000000000
χ6222-2-22-222-2-22-22222-2-2-2-2-222-2-22-22−1+52−1+521−521−52−1+521−52−1+52−1+521−521−52−1+521−52−1+52−1+52−1+52−1+521−521−521−521−521−52−1+52−1+521−521−52−1+521−52−1+52−1−52−1−521+521+52−1−521+52−1−52−1−521+521+52−1−521+52−1−52−1−52−1−52−1−521+521+521+521+521+52−1−52−1−521+521+52−1−521+52−1−520000000000000000000000000000
χ6322-2-2-2222-2-2-222-2-22-2-22222-2-22-2-22−1+52−1+521−521−521−52−1+52−1+52−1+521−521−521−52−1+52−1+521−521−52−1+521−521−52−1+52−1+52−1+52−1+521−521−52−1+521−521−52−1+52−1−52−1−521+521+521+52−1−52−1−52−1−521+521+521+52−1−52−1−521+521+52−1−521+521+52−1−52−1−52−1−52−1−521+521+52−1−521+521+52−1−520000000000000000000000000000
χ6422-2-2-2222-2-2-222-2-22-2-222-2-222-222-2−1+52−1+521−521−521−52−1+52−1+52−1+521−521−521−52−1+52−1+521−521−52−1+521−521−52−1+52−1+521−521−52−1+52−1+521−52−1+52−1+521−52−1−52−1−521+521+521+52−1−52−1−52−1−521+521+521+52−1−52−1−521+521+52−1−521+521+52−1−52−1−521+521+52−1−52−1−521+52−1−52−1−521+520000000000000000000000000000
χ65444444444444-2-2-2-2-2-2-2-200000000−1+5−1+5−1+5−1+5−1+5−1+5−1+5−1+5−1+5−1+5−1+5−1+51−521−521−521−521−521−521−521−5200000000−1−5−1−5−1−5−1−5−1−5−1−5−1−5−1−5−1−5−1−5−1−5−1−51+521+521+521+521+521+521+521+52000000000000000000000000000000000000
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χ103666666-2-2-2-2-2-2000000002222-2-2-2-2−3−352−3−352−3−352−3−352−3−352−3−3521+521+521+521+521+521+5200000000−1−52−1−52−1−52−1−521+521+521+521+52−3+352−3+352−3+352−3+352−3+352−3+3521−521−521−521−521−521−5200000000−1+52−1+52−1+52−1+521−521−521−521−520000000000000000000000000000
χ104666666-2-2-2-2-2-200000000-2-2-2-22222−3−352−3−352−3−352−3−352−3−352−3−3521+521+521+521+521+521+52000000001+521+521+521+52−1−52−1−52−1−52−1−52−3+352−3+352−3+352−3+352−3+352−3+3521−521−521−521−521−521−52000000001−521−521−521−52−1+52−1+52−1+52−1+520000000000000000000000000000
χ1056666-6-6-2-2-2-222000000002-22-2-2-222−3−352−3−352−3−352−3−3523+3523+3521+521+521+521+52−1−52−1−5200000000−1−521+52−1−521+521+521+52−1−52−1−52−3+352−3+352−3+352−3+3523−3523−3521−521−521−521−52−1+52−1+5200000000−1+521−52−1+521−521−521−52−1+52−1+520000000000000000000000000000
χ1066666-6-6-2-2-2-22200000000-22-2222-2-2−3−352−3−352−3−352−3−3523+3523+3521+521+521+521+52−1−52−1−52000000001+52−1−521+52−1−52−1−52−1−521+521+52−3+352−3+352−3+352−3+3523−3523−3521−521−521−521−52−1+52−1+52000000001−52−1+521−52−1+52−1+52−1+521−521−520000000000000000000000000000
χ10766-6-66-6-2-222-22000000002-2-22-22-22−3−352−3−3523+3523+352−3−3523+3521+521+52−1−52−1−521+52−1−5200000000−1−521+521+52−1−521+52−1−521+52−1−52−3+352−3+3523−3523−352−3+3523−3521−521−52−1+52−1+521−52−1+5200000000−1+521−521−52−1+521−52−1+521−52−1+520000000000000000000000000000
χ10866-6-66-6-2-222-2200000000-222-22-22-2−3−352−3−3523+3523+352−3−3523+3521+521+52−1−52−1−521+52−1−52000000001+52−1−52−1−521+52−1−521+52−1−521+52−3+352−3+3523−3523−352−3+3523−3521−521−52−1+52−1+521−52−1+52000000001−52−1+52−1+521−52−1+521−52−1+521−520000000000000000000000000000
χ10966-6-6-66-2-2222-20000000022-2-2-222-2−3−352−3−3523+3523+3523+352−3−3521+521+52−1−52−1−52−1−521+5200000000−1−52−1−521+521+521+52−1−52−1−521+52−3+352−3+3523−3523−3523−352−3+3521−521−52−1+52−1+52−1+521−5200000000−1+52−1+521−521−521−52−1+52−1+521−520000000000000000000000000000
χ11066-6-6-66-2-2222-200000000-2-2222-2-22−3−352−3−3523+3523+3523+352−3−3521+521+52−1−52−1−52−1−521+52000000001+521+52−1−52−1−52−1−521+521+52−1−52−3+352−3+3523−3523−3523−352−3+3521−521−52−1+52−1+52−1+521−52000000001−521−52−1+52−1+52−1+521−521−52−1+520000000000000000000000000000
χ11112-1212i−12i00-44−4i4i000000000000000000−3−353+35−6ζ11−6ζ19−6ζ31−6ζ596ζ11+6ζ19+6ζ31+6ζ59001+5−1−52ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59000000000000000000−3+353−35−6ζ7−6ζ23−6ζ43−6ζ476ζ7+6ζ23+6ζ43+6ζ47001−5−1+52ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ470000000000000000000000000000000000000000000000
χ11212-12−12i12i00-444i−4i000000000000000000−3−353+356ζ11+6ζ19+6ζ31+6ζ59−6ζ11−6ζ19−6ζ31−6ζ59001+5−1−5−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59000000000000000000−3+353−356ζ7+6ζ23+6ζ43+6ζ47−6ζ7−6ζ23−6ζ43−6ζ47001−5−1+5−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ470000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.