Finite Group Databasebeta

← Group #14277192

Character table — Group #14277192

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11111111222222224444444444444444444444444444448888888888888888888888888888888888888888881010101010101010202020202020202040404040404060606060606060606060606060606060
order122244443666121212122456610101012121515202020203030303030306060606060606060881010202024242424303030304040404040404040606060601201201201201201201201201201201201201201201201202222444466661212121288242424244444444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii
χ51111111111111111111111111111111111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111111111111111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111iiii−i−i−i−i−i−i−i−iiiii
χ81111111111111111111111111111111111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−i−i−i−iiiiiiiii−i−i−i−i
χ91111-1-1-1-11111-1-1-1-1-111-1-11111111-1-1-1-1111111-1-1-1-1-1-1-1-1i−i-1-111ii−i−i-1-1-1-1iiii−i−i−i−i1111iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-111-1-111-1-1i−iii−i−i11-1-1ii−i−i11-1-1ii−i−i
χ101111-1-1-1-11111-1-1-1-1-111-1-11111111-1-1-1-1111111-1-1-1-1-1-1-1-1i−i-1-111ii−i−i-1-1-1-1iiii−i−i−i−i1111iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-111-1-111-1-1i−iii−i−i-1-111−i−iii-1-111−i−iii
χ111111-1-1-1-11111-1-1-1-1-111-1-11111111-1-1-1-1111111-1-1-1-1-1-1-1-1i−i-1-111ii−i−i-1-1-1-1iiii−i−i−i−i1111iiiiiiii−i−i−i−i−i−i−i−i-1-111-1-111-1-111-1-111−ii−i−iiiii−i−i-1-111−i−iii11-1-1
χ121111-1-1-1-11111-1-1-1-1-111-1-11111111-1-1-1-1111111-1-1-1-1-1-1-1-1i−i-1-111ii−i−i-1-1-1-1iiii−i−i−i−i1111iiiiiiii−i−i−i−i−i−i−i−i-1-111-1-111-1-111-1-111−ii−i−iii−i−iii11-1-1ii−i−i-1-111
χ131111-1-1-1-11111-1-1-1-1-111-1-11111111-1-1-1-1111111-1-1-1-1-1-1-1-1−ii-1-111−i−iii-1-1-1-1−i−i−i−iiiii1111−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-111-1-111-1-1−ii−i−iii11-1-1−i−iii11-1-1−i−iii
χ141111-1-1-1-11111-1-1-1-1-111-1-11111111-1-1-1-1111111-1-1-1-1-1-1-1-1−ii-1-111−i−iii-1-1-1-1−i−i−i−iiiii1111−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-111-1-111-1-1−ii−i−iii-1-111ii−i−i-1-111ii−i−i
χ151111-1-1-1-11111-1-1-1-1-111-1-11111111-1-1-1-1111111-1-1-1-1-1-1-1-1−ii-1-111−i−iii-1-1-1-1−i−i−i−iiiii1111−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-111-1-111-1-111i−iii−i−iii−i−i11-1-1−i−iii-1-111
χ161111-1-1-1-11111-1-1-1-1-111-1-11111111-1-1-1-1111111-1-1-1-1-1-1-1-1−ii-1-111−i−iii-1-1-1-1−i−i−i−iiiii1111−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-111-1-111-1-111i−iii−i−i−i−iii-1-111ii−i−i11-1-1
χ172222222222222222-2-22-2-2222-2-22222222222222222222200-2-2-2-20000-2-2-2-200000000-2-2-2-2000000000000000022-2-2-2-22222-2-2-2-2220000000000000000000000
χ182222222222222222-2-22-2-2222-2-22222222222222222222200-2-2-2-20000-2-2-2-200000000-2-2-2-20000000000000000-2-22222-2-2-2-22222-2-20000000000000000000000
χ1922222222-1-1-1-1-1-1-1-1222-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-122-1-1-1-10000000000000000
χ2022222222-1-1-1-1-1-1-1-1222-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111-2-211110000000000000000
χ2122222222-1-1-1-1-1-1-1-1222-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222221111-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1111111111111111122222222-1-1-1-1-1-1-1-1-2-211110000000000000000
χ2222222222-1-1-1-1-1-1-1-1222-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222221111-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-11111111111111111-2-2-2-2-2-2-2-21111111122-1-1-1-10000000000000000
χ2322222222-1-1-1-1-1-1-1-1-2-221122211-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-2−i3i3−i3i31111000000001111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i322-2-2-2-222-1-11111-1-100−i3i3−i3i30000000000000000
χ2422222222-1-1-1-1-1-1-1-1-2-221122211-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-2−i3i3−i3i31111000000001111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3-2-22222-2-211-1-1-1-11100i3−i3i3−i30000000000000000
χ2522222222-1-1-1-1-1-1-1-1-2-221122211-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-2i3−i3i3−i31111000000001111i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i322-2-2-2-222-1-11111-1-100i3−i3i3−i30000000000000000
χ2622222222-1-1-1-1-1-1-1-1-2-221122211-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-2i3−i3i3−i31111000000001111i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3-2-22222-2-211-1-1-1-11100−i3i3−i3i30000000000000000
χ272222-2-2-2-22222-2-2-2-22-2222222-2-222-2-2-2-2222222-2-2-2-2-2-2-2-20022-2-20000222200000000-2-2-2-200000000000000002222-2-2-2-22222-2-2-2-20000000000000000000000
χ282222-2-2-2-22222-2-2-2-22-2222222-2-222-2-2-2-2222222-2-2-2-2-2-2-2-20022-2-20000222200000000-2-2-2-20000000000000000-2-2-2-22222-2-2-2-222220000000000000000000000
χ292222-2-2-2-2-1-1-1-111112-22-1-122211-1-1-2-2-2-2-1-1-1-1-1-1111111110022-2-23−3−33-1-1-1-10000000011113333−3−3−3−3−3−3−3−333332222-2-2-2-2-1-1-1-11111003−3−330000000000000000
χ302222-2-2-2-2-1-1-1-111112-22-1-122211-1-1-2-2-2-2-1-1-1-1-1-1111111110022-2-23−3−33-1-1-1-10000000011113333−3−3−3−3−3−3−3−33333-2-2-2-222221111-1-1-1-100−333−30000000000000000
χ312222-2-2-2-2-1-1-1-111112-22-1-122211-1-1-2-2-2-2-1-1-1-1-1-1111111110022-2-2−333−3-1-1-1-1000000001111−3−3−3−333333333−3−3−3−32222-2-2-2-2-1-1-1-1111100−333−30000000000000000
χ322222-2-2-2-2-1-1-1-111112-22-1-122211-1-1-2-2-2-2-1-1-1-1-1-1111111110022-2-2−333−3-1-1-1-1000000001111−3−3−3−333333333−3−3−3−3-2-2-2-222221111-1-1-1-1003−3−330000000000000000
χ332222-2-2-2-2-1-1-1-11111-22211222-1-1-1-1-2-2-2-2-1-1-1-1-1-1111111112i−2i-2-222−i−iii11112i2i2i2i−2i−2i−2i−2i-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii22-2-222-2-2-1-111-1-1112i−2i−i−iii0000000000000000
χ342222-2-2-2-2-1-1-1-11111-22211222-1-1-1-1-2-2-2-2-1-1-1-1-1-1111111112i−2i-2-222−i−iii11112i2i2i2i−2i−2i−2i−2i-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-2-222-2-22211-1-111-1-1−2i2iii−i−i0000000000000000
χ352222-2-2-2-2-1-1-1-11111-22211222-1-1-1-1-2-2-2-2-1-1-1-1-1-111111111−2i2i-2-222ii−i−i1111−2i−2i−2i−2i2i2i2i2i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i22-2-222-2-2-1-111-1-111−2i2iii−i−i0000000000000000
χ362222-2-2-2-2-1-1-1-11111-22211222-1-1-1-1-2-2-2-2-1-1-1-1-1-111111111−2i2i-2-222ii−i−i1111−2i−2i−2i−2i2i2i2i2i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-2-222-2-22211-1-111-1-12i−2i−i−iii0000000000000000
χ3722-2-22i−2i2i−2i22-2-22i−2i2i−2i002002-2-200222i−2i2i−2i22-2-2-2-22i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000002-22i−2i00002-22i−2i000000001+i−1−i1−i−1+i00001−i−1+i1+i−1−i0000
χ3822-2-22i−2i2i−2i22-2-22i−2i2i−2i002002-2-200222i−2i2i−2i22-2-2-2-22i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000002-22i−2i00002-22i−2i00000000−1−i1+i−1+i1−i0000−1+i1−i−1−i1+i0000
χ3922-2-22i−2i2i−2i22-2-22i−2i2i−2i002002-2-200222i−2i2i−2i22-2-2-2-22i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000000000000-22−2i2i0000-22−2i2i000000001−i−1+i−1−i1+i00001+i−1−i−1+i1−i0000
χ4022-2-22i−2i2i−2i22-2-22i−2i2i−2i002002-2-200222i−2i2i−2i22-2-2-2-22i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000000000000-22−2i2i0000-22−2i2i00000000−1+i1−i1+i−1−i0000−1−i1+i1−i−1+i0000
χ4122-2-2−2i2i−2i2i22-2-2−2i2i−2i2i002002-2-20022−2i2i−2i2i22-2-2-2-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000002-2−2i2i00002-2−2i2i000000001−i−1+i1+i−1−i00001+i−1−i1−i−1+i0000
χ4222-2-2−2i2i−2i2i22-2-2−2i2i−2i2i002002-2-20022−2i2i−2i2i22-2-2-2-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000002-2−2i2i00002-2−2i2i00000000−1+i1−i−1−i1+i0000−1−i1+i−1+i1−i0000
χ4322-2-2−2i2i−2i2i22-2-2−2i2i−2i2i002002-2-20022−2i2i−2i2i22-2-2-2-2−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000000000000000-222i−2i0000-222i−2i000000001+i−1−i−1+i1−i00001−i−1+i−1−i1+i0000
χ4422-2-2−2i2i−2i2i22-2-2−2i2i−2i2i002002-2-20022−2i2i−2i2i22-2-2-2-2−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000000000000000-222i−2i0000-222i−2i00000000−1−i1+i1−i−1+i0000−1+i1−i1+i−1−i0000
χ452-22-22i−2i−2i2i2-22-22i−2i−2i2i00200-22-20022−2i2i2i−2i-2-222-2-2−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000002-200002i−2i2-200002i−2i00000000001+i−1−i1−i−1+i00001+i−1−i1−i−1+i
χ462-22-22i−2i−2i2i2-22-22i−2i−2i2i00200-22-20022−2i2i2i−2i-2-222-2-2−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000002-200002i−2i2-200002i−2i0000000000−1−i1+i−1+i1−i0000−1−i1+i−1+i1−i
χ472-22-22i−2i−2i2i2-22-22i−2i−2i2i00200-22-20022−2i2i2i−2i-2-222-2-2−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000000000-220000−2i2i-220000−2i2i00000000001−i−1+i−1−i1+i0000−1+i1−i1+i−1−i
χ482-22-22i−2i−2i2i2-22-22i−2i−2i2i00200-22-20022−2i2i2i−2i-2-222-2-2−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000000000-220000−2i2i-220000−2i2i0000000000−1+i1−i1+i−1−i00001−i−1+i−1−i1+i
χ492-22-2−2i2i2i−2i2-22-2−2i2i2i−2i00200-22-200222i−2i−2i2i-2-222-2-22i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000000000002-20000−2i2i2-20000−2i2i00000000001−i−1+i1+i−1−i00001−i−1+i1+i−1−i
χ502-22-2−2i2i2i−2i2-22-2−2i2i2i−2i00200-22-200222i−2i−2i2i-2-222-2-22i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000000000002-20000−2i2i2-20000−2i2i0000000000−1+i1−i−1−i1+i0000−1+i1−i−1−i1+i
χ512-22-2−2i2i2i−2i2-22-2−2i2i2i−2i00200-22-200222i−2i−2i2i-2-222-2-22i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000-2200002i−2i-2200002i−2i00000000001+i−1−i−1+i1−i0000−1−i1+i1−i−1+i
χ522-22-2−2i2i2i−2i2-22-2−2i2i2i−2i00200-22-200222i−2i−2i2i-2-222-2-22i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000-2200002i−2i-2200002i−2i0000000000−1−i1+i1−i−1+i00001+i−1−i−1+i1−i
χ53444444444444444444-144-1-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-144-1-1-1-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000000000
χ54444444444444444444-144-1-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-4-4-1-1-1-1-4-4-4-4-1-1-1-111111111-1-1-1-1111111111111111100000000000000000000000000000000000000
χ554444444444444444-4-4-1-4-4-1-1-1-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100111100001111−5−555−5−5551111−5−555−5−555−5−555−5−55500000000000000000000000000000000000000
χ564444444444444444-4-4-1-4-4-1-1-1-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10011110000111155−5−555−5−5111155−5−555−5−555−5−555−5−500000000000000000000000000000000000000
χ5744444444-2-2-2-2-2-2-2-244-1-2-2-1-1-1-2-21−i1521+i152-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i15244-1-1-1-1-2-2-2-21−i1521−i1521+i1521+i152-1-1-1-1-1-1-1-11−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i1521−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i15200000000000000000000000000000000000000
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χ11988-8-8−8i8i−8i8i-4-4444i−4i4i−4i00-200-222001−i151+i152i−2i2i−2i1−i151+i15−1+i15−1−i15−1+i15−1−i15−2ζ7−2ζ11−2ζ43−2ζ59−2ζ19−2ζ23−2ζ31−2ζ472ζ7+2ζ11+2ζ43+2ζ592ζ19+2ζ23+2ζ31+2ζ47−2ζ7−2ζ11−2ζ43−2ζ59−2ζ19−2ζ23−2ζ31−2ζ472ζ7+2ζ11+2ζ43+2ζ592ζ19+2ζ23+2ζ31+2ζ4700000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12088-8-8−8i8i−8i8i-4-4444i−4i4i−4i00-200-222001+i151−i152i−2i2i−2i1+i151−i15−1−i15−1+i15−1−i15−1+i15−2ζ19−2ζ23−2ζ31−2ζ47−2ζ7−2ζ11−2ζ43−2ζ592ζ19+2ζ23+2ζ31+2ζ472ζ7+2ζ11+2ζ43+2ζ59−2ζ19−2ζ23−2ζ31−2ζ47−2ζ7−2ζ11−2ζ43−2ζ592ζ19+2ζ23+2ζ31+2ζ472ζ7+2ζ11+2ζ43+2ζ5900000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1218-88-88i−8i−8i8i8-88-88i−8i−8i8i00-2002-2200-2-22i−2i−2i2i22-2-2222i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-88-88i−8i−8i8i-44-44−4i4i4i−4i00-2002-22001−i151+i152i−2i−2i2i−1+i15−1−i151−i151+i15−1+i15−1−i15−2ζ7−2ζ11−2ζ43−2ζ59−2ζ19−2ζ23−2ζ31−2ζ472ζ7+2ζ11+2ζ43+2ζ592ζ19+2ζ23+2ζ31+2ζ472ζ7+2ζ11+2ζ43+2ζ592ζ19+2ζ23+2ζ31+2ζ47−2ζ7−2ζ11−2ζ43−2ζ59−2ζ19−2ζ23−2ζ31−2ζ4700000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1238-88-88i−8i−8i8i-44-44−4i4i4i−4i00-2002-22001+i151−i152i−2i−2i2i−1−i15−1+i151+i151−i15−1−i15−1+i15−2ζ19−2ζ23−2ζ31−2ζ47−2ζ7−2ζ11−2ζ43−2ζ592ζ19+2ζ23+2ζ31+2ζ472ζ7+2ζ11+2ζ43+2ζ592ζ19+2ζ23+2ζ31+2ζ472ζ7+2ζ11+2ζ43+2ζ59−2ζ19−2ζ23−2ζ31−2ζ47−2ζ7−2ζ11−2ζ43−2ζ5900000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1248-88-8−8i8i8i−8i8-88-8−8i8i8i−8i00-2002-2200-2-2−2i2i2i−2i22-2-222−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1258-88-8−8i8i8i−8i-44-444i−4i−4i4i00-2002-22001−i151+i15−2i2i2i−2i−1+i15−1−i151−i151+i15−1+i15−1−i152ζ7+2ζ11+2ζ43+2ζ592ζ19+2ζ23+2ζ31+2ζ47−2ζ7−2ζ11−2ζ43−2ζ59−2ζ19−2ζ23−2ζ31−2ζ47−2ζ7−2ζ11−2ζ43−2ζ59−2ζ19−2ζ23−2ζ31−2ζ472ζ7+2ζ11+2ζ43+2ζ592ζ19+2ζ23+2ζ31+2ζ4700000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-88-8−8i8i8i−8i-44-444i−4i−4i4i00-2002-22001+i151−i15−2i2i2i−2i−1−i15−1+i151+i151−i15−1−i15−1+i152ζ19+2ζ23+2ζ31+2ζ472ζ7+2ζ11+2ζ43+2ζ59−2ζ19−2ζ23−2ζ31−2ζ47−2ζ7−2ζ11−2ζ43−2ζ59−2ζ19−2ζ23−2ζ31−2ζ47−2ζ7−2ζ11−2ζ43−2ζ592ζ19+2ζ23+2ζ31+2ζ472ζ7+2ζ11+2ζ43+2ζ5900000000000000000000000000000000000000000000000000000000000000000000000000000000

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