Finite Group Databasebeta

← Group #13150852

Character table — Group #13150852

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size11111111222222222222222222226666666666666666121212121212121212121212121212121212121212121212181818181818181818181818181818181818181818181818363636363636363636363636363636363636363636363636
order12224444223446666666121212121212121233666666121212121212121236666666666612121212121212121212121222224444666666661212121212121212224444446666121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ511111111-1-11-1-111-1-1-1-111111-1-1-1-111111111111111111-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11-111-1-11-111-1-11111-1-1-1-111-1-1
χ611111111-1-11-1-111-1-1-1-111111-1-1-1-111111111111111111-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-11-1-111-11-1-111-1-1-1-11111-1-111
χ711111111-1-11-1-111-1-1-1-111111-1-1-1-111111111111111111-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111-1-1-1111-111-1-1-1-1-1-1111111-1-1
χ811111111-1-11-1-111-1-1-1-111111-1-1-1-111111111111111111-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1111-1-1-11-1-1111111-1-1-1-1-1-111
χ91111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11-1-1111-1-111-1-111-1-1-1-111
χ101111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-111-1-1-111-1-111-1-11111-1-1
χ111111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-11-11-1111-1-1-1-111-1-111-1-111
χ121111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-111-11-11-1-1-11111-1-111-1-111-1-1
χ131111-1-1-1-1-1-111111-1-1-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111-1-11-1-1111111-1-1-1-111-1-1-1-1
χ141111-1-1-1-1-1-111111-1-1-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-111-111-1-1-1-1-1-11111-1-11111
χ151111-1-1-1-1-1-111111-1-1-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-111-111-1-1-11111-1-11111-1-1-1-1-1-1
χ161111-1-1-1-1-1-111111-1-1-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-1111111
χ1722222222222222222222222222222-1-1-1222-12222-1-1-1-1-122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-100000000000000000000000022000022-1-1-1-100000000-1-1-1-1
χ1822222222222222222222222222222-1-1-1222-12222-1-1-1-1-122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-20000-2-21111000000001111
χ192222222222222222222222222222-1222-1-1-12-1-1-1-12222-1-1-122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000000000000000000000002222000000-1-1-1-1-1-1-1-10000
χ202222222222222222222222222222-1222-1-1-12-1-1-1-12222-1-1-122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100000000000000000000000000-2-2-2-2000000111111110000
χ2122222222-2-22-2-222-2-2-2-222222-2-2-2-22-1-1-1222-12222-1-1-1-1-1-2-211-1-11111-1-2-211-1-1-1-111110000000000000000000000002-200002-2-1-11100000000-1-111
χ2222222222-2-22-2-222-2-2-2-222222-2-2-2-22-1-1-1222-12222-1-1-1-1-1-2-211-1-11111-1-2-211-1-1-1-11111000000000000000000000000-220000-2211-1-10000000011-1-1
χ2322222222-2-22-2-222-2-2-2-222222-2-2-2-2-1222-1-1-12-1-1-1-12222-111-2-2-1-11111-111-2-2-1-1-1-111110000000000000000000000000022-2-2000000-1-1-1-111110000
χ2422222222-2-22-2-222-2-2-2-222222-2-2-2-2-1222-1-1-12-1-1-1-12222-111-2-2-1-11111-111-2-2-1-1-1-1111100000000000000000000000000-2-2220000001111-1-1-1-10000
χ252222-2-2-2-2222-2-22222222-2-2-2-2-2-2-2-22-1-1-1222-1-2-2-2-21111-122-1-1-1-1-1-1-1-1-1-2-211111111110000000000000000000000002-20000-22-1-1110000000011-1-1
χ262222-2-2-2-2222-2-22222222-2-2-2-2-2-2-2-22-1-1-1222-1-2-2-2-21111-122-1-1-1-1-1-1-1-1-1-2-21111111111000000000000000000000000-2200002-211-1-100000000-1-111
χ272222-2-2-2-2222-2-22222222-2-2-2-2-2-2-2-2-1222-1-1-121111-2-2-2-2-1-1-122-1-1-1-1-1-1-111-2-211111111000000000000000000000000002-22-2000000-1-111-1-1110000
χ282222-2-2-2-2222-2-22222222-2-2-2-2-2-2-2-2-1222-1-1-121111-2-2-2-2-1-1-122-1-1-1-1-1-1-111-2-21111111100000000000000000000000000-22-2200000011-1-111-1-10000
χ292222-2-2-2-2-2-222222-2-2-2-22-2-2-2-222222-1-1-1222-1-2-2-2-21111-1-2-211-1-11111-122-1-11111-1-1-1-1000000000000000000000000220000-2-2-1-1-1-1000000001111
χ302222-2-2-2-2-2-222222-2-2-2-22-2-2-2-222222-1-1-1222-1-2-2-2-21111-1-2-211-1-11111-122-1-11111-1-1-1-1000000000000000000000000-2-2000022111100000000-1-1-1-1
χ312222-2-2-2-2-2-222222-2-2-2-22-2-2-2-22222-1222-1-1-121111-2-2-2-2-111-2-2-1-11111-1-1-1221111-1-1-1-1000000000000000000000000002-2-22000000-1-11111-1-10000
χ322222-2-2-2-2-2-222222-2-2-2-22-2-2-2-22222-1222-1-1-121111-2-2-2-2-111-2-2-1-11111-1-1-1221111-1-1-1-100000000000000000000000000-222-200000011-1-1-1-1110000
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χ372-22-22i−2i2i−2i00200-220000-22i−2i2i−2i000022-22-2-22-22i−2i2i−2i2i−2i2i−2i20000-220000-200002i−2i2i−2i00002-2002i−2i0022-2-200002i2i−2i−2i0000000000000000000000000000
χ382-22-22i−2i2i−2i00200-220000-22i−2i2i−2i000022-22-2-22-22i−2i2i−2i2i−2i2i−2i20000-220000-200002i−2i2i−2i0000-2200−2i2i00-2-2220000−2i−2i2i2i0000000000000000000000000000
χ392-22-2−2i2i−2i2i00200-220000-2−2i2i−2i2i000022-22-2-22-2−2i2i−2i2i−2i2i−2i2i20000-220000-20000−2i2i−2i2i00002-200−2i2i0022-2-20000−2i−2i2i2i0000000000000000000000000000
χ402-22-2−2i2i−2i2i00200-220000-2−2i2i−2i2i000022-22-2-22-2−2i2i−2i2i−2i2i−2i2i20000-220000-20000−2i2i−2i2i0000-22002i−2i00-2-22200002i2i−2i−2i0000000000000000000000000000
χ412-2-222-2-222-222-2-2-222-2-222-2-2222-2-222-2-22-2-222-2-222-2-2222-22-2-2-222-2-222-22-22-2-2222-2-2000000000000000000000000000000000000000000000000
χ422-2-222-2-222-222-2-2-222-2-222-2-2222-2-22-1112-2-2-12-2-22-111-1-12-2-1111-1-111-12-2-11-111-1-1-11100000000000000000000000000000000−i3i3−i3i300000000−i3i3−i3i3
χ432-2-222-2-222-222-2-2-222-2-222-2-2222-2-22-1112-2-2-12-2-22-111-1-12-2-1111-1-111-12-2-11-111-1-1-11100000000000000000000000000000000i3−i3i3−i300000000i3−i3i3−i3
χ442-2-222-2-222-222-2-2-222-2-222-2-2222-2-2-12-2-2-1112-111-12-2-22-1-112-211-1-111-1-112-2-111-1-1-1110000000000000000000000000000000000003−33−33−33−30000
χ452-2-222-2-222-222-2-2-222-2-222-2-2222-2-2-12-2-2-1112-111-12-2-22-1-112-211-1-111-1-112-2-111-1-1-111000000000000000000000000000000000000−33−33−33−330000
χ462-2-222-2-22-222-22-2-2-2-22222-2-22-2-22222-2-22-2-222-2-222-2-222-22-22-2-2-2-2222-22-222-2-22-2-222000000000000000000000000000000000000000000000000
χ472-2-222-2-22-222-22-2-2-2-22222-2-22-2-2222-1112-2-2-12-2-22-111-1-1-221-11111-1-1-1-221-1-111-111-1-100000000000000000000000000000000−i3i3i3−i300000000−i3i3i3−i3
χ482-2-222-2-22-222-22-2-2-2-22222-2-22-2-2222-1112-2-2-12-2-22-111-1-1-221-11111-1-1-1-221-1-111-111-1-100000000000000000000000000000000i3−i3−i3i300000000i3−i3−i3i3
χ492-2-222-2-22-222-22-2-2-2-22222-2-22-2-222-12-2-2-1112-111-12-2-22-11-1-221111-1-1-11-1-22-111-111-1-10000000000000000000000000000000000003−33−3−33−330000
χ502-2-222-2-22-222-22-2-2-2-22222-2-22-2-222-12-2-2-1112-111-12-2-22-11-1-221111-1-1-11-1-22-111-111-1-1000000000000000000000000000000000000−33−333−33−30000
χ512-2-22-222-22-22-22-2-222-2-22-222-2-2-22222-2-22-2-22-222-2-222-222-22-2-2-222-2-22-22-22-222-2-2-222000000000000000000000000000000000000000000000000
χ522-2-22-222-22-22-22-2-222-2-22-222-2-2-2222-1112-2-2-1-222-21-1-11-12-2-1111-1-111-1-221-11-1-1111-1-100000000000000000000000000000000−i3i3i3−i300000000i3−i3−i3i3
χ532-2-22-222-22-22-22-2-222-2-22-222-2-2-2222-1112-2-2-1-222-21-1-11-12-2-1111-1-111-1-221-11-1-1111-1-100000000000000000000000000000000i3−i3−i3i300000000−i3i3i3−i3
χ542-2-22-222-22-22-22-2-222-2-22-222-2-2-222-12-2-2-11121-1-11-222-2-1-112-211-1-111-11-1-221-1-1111-1-10000000000000000000000000000000000003−3−333−3−330000
χ552-2-22-222-22-22-22-2-222-2-22-222-2-2-222-12-2-2-11121-1-11-222-2-1-112-211-1-111-11-1-221-1-1111-1-1000000000000000000000000000000000000−333−3−333−30000
χ562-2-22-222-2-2222-2-2-2-2-2222-222-222-2-222-2-22-2-22-222-2-222-22-22-22-2-2-2-22222-22-2-222-222-2-2000000000000000000000000000000000000000000000000
χ572-2-22-222-2-2222-2-2-2-2-2222-222-222-2-22-1112-2-2-1-222-21-1-11-1-221-11111-1-1-12-2-111-1-11-1-11100000000000000000000000000000000−i3i3−i3i300000000i3−i3i3−i3
χ582-2-22-222-2-2222-2-2-2-2-2222-222-222-2-22-1112-2-2-1-222-21-1-11-1-221-11111-1-1-12-2-111-1-11-1-11100000000000000000000000000000000i3−i3i3−i300000000−i3i3−i3i3
χ592-2-22-222-2-2222-2-2-2-2-2222-222-222-2-2-12-2-2-11121-1-11-222-2-11-1-221111-1-1-1-112-21-1-11-1-1110000000000000000000000000000000000003−3−33−333−30000
χ602-2-22-222-2-2222-2-2-2-2-2222-222-222-2-2-12-2-2-11121-1-11-222-2-11-1-221111-1-1-1-112-21-1-11-1-111000000000000000000000000000000000000−333−33−3−330000
χ614444444444444444444444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2-21111111-2-2-2-211111111000000000000000000000000000000000000000000000000
χ6244444444-4-44-4-444-4-4-4-444444-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21222211-1-1-1-1122221111-1-1-1-1000000000000000000000000000000000000000000000000
χ634444-4-4-4-4444-4-44444444-4-4-4-4-4-4-4-4-2-2-2-2-2-2-2-2222222221-2-2-2-211111112222-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000
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χ814-4-444-4-444-444-4-4-444-4-444-4-4444-4-4-2-222-222-2-222-2-222-21-22-22-1-111-1-11-22-221-1-1111-1-1000000000000000000000000000000000000000000000000
χ824-4-444-4-44-444-44-4-4-4-44444-4-44-4-444-2-222-222-2-222-2-222-212-22-2-1-1-1-11112-22-21-1-11-1-111000000000000000000000000000000000000000000000000
χ834-4-44-444-44-44-44-4-444-4-44-444-4-4-444-2-222-222-22-2-222-2-221-22-22-1-111-1-112-22-2-111-1-1-111000000000000000000000000000000000000000000000000
χ844-4-44-444-4-4444-4-4-4-4-4444-444-444-4-4-2-222-222-22-2-222-2-2212-22-2-1-1-1-1111-22-22-111-111-1-1000000000000000000000000000000000000000000000000
χ856666666666-366-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3000000000000000000000000000000000000000022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ866666666666-366-3-3-3-3-3-3-3-3-3-3-3-3-3-3-30000000000000000000000000000000000000000-2-2-2-2-2-2-2-21111111111111111000000000000000000000000
χ8766666666-6-6-3-6-6-3-33333-3-3-3-3-33333000000000000000000000000000000000000000022-2-222-2-2-1-1-1-11111-1-1-1-11111000000000000000000000000
χ8866666666-6-6-3-6-6-3-33333-3-3-3-3-333330000000000000000000000000000000000000000-2-222-2-2221111-1-1-1-11111-1-1-1-1000000000000000000000000
χ896666-6-6-6-666-3-6-6-3-3-3-3-3-3-33333333300000000000000000000000000000000000000002222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000000000
χ906666-6-6-6-666-3-6-6-3-3-3-3-3-3-3333333330000000000000000000000000000000000000000-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ916666-6-6-6-6-6-6-366-3-33333-33333-3-3-3-3000000000000000000000000000000000000000022-2-2-2-222-1-1-1-111111111-1-1-1-1000000000000000000000000
χ926666-6-6-6-6-6-6-366-3-33333-33333-3-3-3-30000000000000000000000000000000000000000-2-22222-2-21111-1-1-1-1-1-1-1-11111000000000000000000000000
χ9366-6-66i6i−6i−6i00-300-33−3i33i3−3i33i33−3i−3i3i3i33−3333−330000000000000000000000000000000000000000002-2002i−2i−i3i3−i3i3-1-1113−33−3−i−iii000000000000000000000000
χ9466-6-66i6i−6i−6i00-300-33−3i33i3−3i33i33−3i−3i3i3i33−3333−33000000000000000000000000000000000000000000-2200−2i2ii3−i3i3−i311-1-1−33−33ii−i−i000000000000000000000000
χ9566-6-66i6i−6i−6i00-300-333i3−3i33i3−3i33−3i−3i3i3i−3333−33330000000000000000000000000000000000000000002-2002i−2ii3−i3i3−i3-1-111−33−33−i−iii000000000000000000000000
χ9666-6-66i6i−6i−6i00-300-333i3−3i33i3−3i33−3i−3i3i3i−3333−3333000000000000000000000000000000000000000000-2200−2i2i−i3i3−i3i311-1-13−33−3ii−i−i000000000000000000000000
χ9766-6-6−6i−6i6i6i00-300-33−3i33i3−3i33i333i3i−3i−3i−3333−33330000000000000000000000000000000000000000002-200−2i2i−i3i3−i3i3-1-111−33−33ii−i−i000000000000000000000000
χ9866-6-6−6i−6i6i6i00-300-33−3i33i3−3i33i333i3i−3i−3i−3333−3333000000000000000000000000000000000000000000-22002i−2ii3−i3i3−i311-1-13−33−3−i−iii000000000000000000000000
χ9966-6-6−6i−6i6i6i00-300-333i3−3i33i3−3i333i3i−3i−3i33−3333−330000000000000000000000000000000000000000002-200−2i2ii3−i3i3−i3-1-1113−33−3ii−i−i000000000000000000000000
χ10066-6-6−6i−6i6i6i00-300-333i3−3i33i3−3i333i3i−3i−3i33−3333−33000000000000000000000000000000000000000000-22002i−2i−i3i3−i3i311-1-1−33−33−i−iii000000000000000000000000
χ1016-66-66i−6i6i−6i00-3003-3−3i33i33i3−3i33−3i3i−3i3i33−33−333300000000000000000000000000000000000000002-2002i−2i00-1-111−i3i3−i3i3−i−iii3−33−3000000000000000000000000
χ1026-66-66i−6i6i−6i00-3003-3−3i33i33i3−3i33−3i3i−3i3i33−33−33330000000000000000000000000000000000000000-2200−2i2i0011-1-1i3−i3i3−i3ii−i−i−33−33000000000000000000000000
χ1036-66-66i−6i6i−6i00-3003-33i3−3i3−3i33i33−3i3i−3i3i−333333−3300000000000000000000000000000000000000002-2002i−2i00-1-111i3−i3i3−i3−i−iii−33−33000000000000000000000000
χ1046-66-66i−6i6i−6i00-3003-33i3−3i3−3i33i33−3i3i−3i3i−333333−330000000000000000000000000000000000000000-2200−2i2i0011-1-1−i3i3−i3i3ii−i−i3−33−3000000000000000000000000
χ1056-66-6−6i6i−6i6i00-3003-3−3i33i33i3−3i333i−3i3i−3i−333333−3300000000000000000000000000000000000000002-200−2i2i00-1-111−i3i3−i3i3ii−i−i−33−33000000000000000000000000
χ1066-66-6−6i6i−6i6i00-3003-3−3i33i33i3−3i333i−3i3i−3i−333333−330000000000000000000000000000000000000000-22002i−2i0011-1-1i3−i3i3−i3−i−iii3−33−3000000000000000000000000
χ1076-66-6−6i6i−6i6i00-3003-33i3−3i3−3i33i333i−3i3i−3i33−33−333300000000000000000000000000000000000000002-200−2i2i00-1-111i3−i3i3−i3ii−i−i3−33−3000000000000000000000000
χ1086-66-6−6i6i−6i6i00-3003-33i3−3i3−3i33i333i−3i3i−3i33−33−33330000000000000000000000000000000000000000-22002i−2i0011-1-1−i3i3−i3i3−i−iii−33−33000000000000000000000000
χ1096-6-666-6-666-6-36-633-3-333-3-333-3-3-333000000000000000000000000000000000000000000000000−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3000000000000000000000000
χ1106-6-666-6-666-6-36-633-3-333-3-333-3-3-333000000000000000000000000000000000000000000000000i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3000000000000000000000000
χ1116-6-666-6-66-66-3-663333-3-3-3-333-333-3-3000000000000000000000000000000000000000000000000−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3000000000000000000000000
χ1126-6-666-6-66-66-3-663333-3-3-3-333-333-3-3000000000000000000000000000000000000000000000000i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3000000000000000000000000
χ1136-6-66-666-66-6-3-6633-3-333-33-3-3333-3-3000000000000000000000000000000000000000000000000−i3i3i3−i3−i3i3i3−i3i3−i3−i3i3i3−i3−i3i3000000000000000000000000
χ1146-6-66-666-66-6-3-6633-3-333-33-3-3333-3-3000000000000000000000000000000000000000000000000i3−i3−i3i3i3−i3−i3i3−i3i3i3−i3−i3i3i3−i3000000000000000000000000
χ1156-6-66-666-6-66-36-63333-3-3-33-3-33-3-333000000000000000000000000000000000000000000000000−i3i3i3−i3i3−i3−i3i3i3−i3−i3i3−i3i3i3−i3000000000000000000000000
χ1166-6-66-666-6-66-36-63333-3-3-33-3-33-3-333000000000000000000000000000000000000000000000000i3−i3−i3i3−i3i3i3−i3−i3i3i3−i3i3−i3−i3i3000000000000000000000000

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