Finite Group Databasebeta

← Group #13147084

Character table — Group #13147084

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size11111111111122222233333333333366666666666666666666666666666666666666242424242424242424242424242424242424242424242424363636363636363636363636363636363636363636363636
order122233666666226666222266666666223666666666666666666666666666666666663336666666666666666666664444444412121212121212121212121212121212
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
χ3111111111111-1-1-1-1-1-1111111111111-1-11-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ4111111111111-1-1-1-1-1-1111111111111-1-11-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111
χ511-1-11111-1-1-1-11-111-1-111-1-11111-1-1-1-11-1111-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i
χ611-1-11111-1-1-1-11-111-1-111-1-11111-1-1-1-11-1111-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii
χ711-1-11111-1-1-1-1-11-1-11111-1-11111-1-1-1-1-111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111i−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iii
χ811-1-11111-1-1-1-1-11-1-11111-1-11111-1-1-1-1-111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i
χ922222222222222222222222222222222222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ1022222222222222222222222222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-12-1-122-1-1-1-122-1-1-1-122-1-1-1-1000000000000000000000000
χ1122222222222222222222222222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-12-1-1-122-1-1-1-122-1-1-1-122-1-1000000000000000000000000
χ1222222222222222222222222222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-12-1-1-1-122-1-1-1-122-1-1-1-122000000000000000000000000
χ13222222222222-2-2-2-2-2-2222222222222-2-22-2-2-2-2222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111000000000000000000000000
χ14222222222222-2-2-2-2-2-2222222222222-2-2-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111112-1-12-1-122-1-1-1-1-2-21111-2-21111000000000000000000000000
χ15222222222222-2-2-2-2-2-2222222222222-2-2-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-12-1-12-1-1-122-1-111-2-21111-2-211000000000000000000000000
χ16222222222222-2-2-2-2-2-2222222222222-2-2-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-12-1-12-1-1-1-1221111-2-21111-2-2000000000000000000000000
χ1722-2-22222-2-2-2-22-222-2-222-2-22222-2-2-2-22-2222-2-22222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1111111-1-1-1-1-1-1111111000000000000000000000000
χ1822-2-22222-2-2-2-22-222-2-222-2-22222-2-2-2-22-2-122-2-2-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111112-1-12-1-1-2-2111122-1-1-1-1-2-21111000000000000000000000000
χ1922-2-22222-2-2-2-22-222-2-222-2-22222-2-2-2-22-2-122-2-2-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-12-1-12-111-2-211-1-122-1-111-2-211000000000000000000000000
χ2022-2-22222-2-2-2-22-222-2-222-2-22222-2-2-2-22-2-122-2-2-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-12-1-121111-2-2-1-1-1-1221111-2-2000000000000000000000000
χ2122-2-22222-2-2-2-2-22-2-22222-2-22222-2-2-2-2-222-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-1-1-1-1-1-1111111111111-1-1-1-1-1-1000000000000000000000000
χ2222-2-22222-2-2-2-2-22-2-22222-2-22222-2-2-2-2-22-1-2-222-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-12-1-12-1-1-2-21111-2-2111122-1-1-1-1000000000000000000000000
χ2322-2-22222-2-2-2-2-22-2-22222-2-22222-2-2-2-2-22-1-2-222-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-12-1-12-111-2-21111-2-211-1-122-1-1000000000000000000000000
χ2422-2-22222-2-2-2-2-22-2-22222-2-22222-2-2-2-2-22-1-2-222-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-12-1-121111-2-21111-2-2-1-1-1-122000000000000000000000000
χ252-22-222-2-222-2-20000002-22-222-2-222-2-20020000222-2-2-2-22222-2-2-2-20000000000000000222-2-2-22-22-22-2000000000000000000000000000000000000
χ262-22-222-2-222-2-20000002-22-222-2-222-2-20020000222-2-2-2-22222-2-2-2-20000000000000000-1-1-1111-11-11-11−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3000000000000000000000000
χ272-22-222-2-222-2-20000002-22-222-2-222-2-20020000222-2-2-2-22222-2-2-2-20000000000000000-1-1-1111-11-11-11i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3000000000000000000000000
χ282-22-222-2-222-2-20000002-22-222-2-222-2-200-10000-1-1-11111-1-1-1-11111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i32-1-1-2112-2-11-1100−i3i3i3−i300−i3i3i3−i3000000000000000000000000
χ292-22-222-2-222-2-20000002-22-222-2-222-2-200-10000-1-1-11111-1-1-1-11111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3-12-11-21-112-2-11i3−i300−i3i3i3−i300−i3i3000000000000000000000000
χ302-22-222-2-222-2-20000002-22-222-2-222-2-200-10000-1-1-11111-1-1-1-11111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3-1-1211-2-11-112-2−i3i3i3−i300−i3i3i3−i300000000000000000000000000
χ312-22-222-2-222-2-20000002-22-222-2-222-2-200-10000-1-1-11111-1-1-1-11111i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i32-1-1-2112-2-11-1100i3−i3−i3i300i3−i3−i3i3000000000000000000000000
χ322-22-222-2-222-2-20000002-22-222-2-222-2-200-10000-1-1-11111-1-1-1-11111i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3-12-11-21-112-2-11−i3i300i3−i3−i3i300i3−i3000000000000000000000000
χ332-22-222-2-222-2-20000002-22-222-2-222-2-200-10000-1-1-11111-1-1-1-11111i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3-1-1211-2-11-112-2i3−i3−i3i300i3−i3−i3i300000000000000000000000000
χ342-2-2222-2-2-2-2220000002-2-2222-2-2-2-2220020000222-2-2-2-2-2-2-2-222220000000000000000222-2-2-2-22-22-22000000000000000000000000000000000000
χ352-2-2222-2-2-2-2220000002-2-2222-2-2-2-2220020000222-2-2-2-2-2-2-2-222220000000000000000-1-1-11111-11-11-1−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3000000000000000000000000
χ362-2-2222-2-2-2-2220000002-2-2222-2-2-2-2220020000222-2-2-2-2-2-2-2-222220000000000000000-1-1-11111-11-11-1i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3000000000000000000000000
χ372-2-2222-2-2-2-2220000002-2-2222-2-2-2-22200-10000-1-1-111111111-1-1-1-1−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i32-1-1-211-221-11-100−i3i3i3−i300i3−i3−i3i3000000000000000000000000
χ382-2-2222-2-2-2-2220000002-2-2222-2-2-2-22200-10000-1-1-111111111-1-1-1-1−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3-12-11-211-1-221-1i3−i300−i3i3−i3i300i3−i3000000000000000000000000
χ392-2-2222-2-2-2-2220000002-2-2222-2-2-2-22200-10000-1-1-111111111-1-1-1-1−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3-1-1211-21-11-1-22−i3i3i3−i300i3−i3−i3i300000000000000000000000000
χ402-2-2222-2-2-2-2220000002-2-2222-2-2-2-22200-10000-1-1-111111111-1-1-1-1i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i32-1-1-211-221-11-100i3−i3−i3i300−i3i3i3−i3000000000000000000000000
χ412-2-2222-2-2-2-2220000002-2-2222-2-2-2-22200-10000-1-1-111111111-1-1-1-1i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3-12-11-211-1-221-1−i3i300i3−i3i3−i300−i3i3000000000000000000000000
χ422-2-2222-2-2-2-2220000002-2-2222-2-2-2-22200-10000-1-1-111111111-1-1-1-1i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3-1-1211-21-11-1-22i3−i3−i3i300−i3i3i3−i300000000000000000000000000
χ43333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-13-1-1-1-1-1-1-13-1-1-13-1-1-13-1-1-13-1-1-13-1-1-13-1-1-13-1-1-10000000000000000000000001111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ44333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-13-1-1-1-1-1-1-13-1-1-13-1-1-13-1-1-13-1-1-13-1-1-13-1-1-13-1-1-1000000000000000000000000-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ45333333333333-3-3-3-3-3-3-1-1-1-1-1-1-1-1-1-1-1-11131111-1-1-13-1-1-13-1-1-13-1-1-1-3111-3111-3111-311100000000000000000000000011-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ46333333333333-3-3-3-3-3-3-1-1-1-1-1-1-1-1-1-1-1-11131111-1-1-13-1-1-13-1-1-13-1-1-1-3111-3111-3111-3111000000000000000000000000-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ473333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i323333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32330−3−3i32−3+3i32−3−3i32−3+3i32000000000000000000000000000000000000000000000000000000011111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ483333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i323333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32330−3−3i32−3+3i32−3−3i32−3+3i320000000000000000000000000000000000000000000000000000000-1-1-1-1-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i32
χ493333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32-1-101+i321−i321+i321−i322−1−i3−1+i302−1−i3−1+i302−1−i3−1+i302−1−i3−1+i302−1−i3−1+i302−1−i3−1+i302−1−i3−1+i302−1−i3−1+i30000000000000000000000001111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i321+i321−i321+i321−i32
χ503333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32-1-101+i321−i321+i321−i322−1−i3−1+i302−1−i3−1+i302−1−i3−1+i302−1−i3−1+i302−1−i3−1+i302−1−i3−1+i302−1−i3−1+i302−1−i3−1+i3000000000000000000000000-1-1-1-111111+i321−i321+i321−i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ513333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i323333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-303+3i323−3i323+3i323−3i32000000000000000000000000000000000000000000000000000000011-1-111-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32
χ523333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i323333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-303+3i323−3i323+3i323−3i320000000000000000000000000000000000000000000000000000000-1-111-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32
χ533333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32110−1−i32−1+i32−1−i32−1+i322−1−i3−1+i302−1−i3−1+i302−1−i3−1+i302−1−i3−1+i30-21+i31−i30-21+i31−i30-21+i31−i30-21+i31−i300000000000000000000000011-1-1-1-111−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32
χ543333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32110−1−i32−1+i32−1−i32−1+i322−1−i3−1+i302−1−i3−1+i302−1−i3−1+i302−1−i3−1+i30-21+i31−i30-21+i31−i30-21+i31−i30-21+i31−i3000000000000000000000000-1-11111-1-11+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32
χ553333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i323333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32330−3+3i32−3−3i32−3+3i32−3−3i32000000000000000000000000000000000000000000000000000000011111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32
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χ1006-66-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3000000-22-221+i31−i3−1−i3−1+i31+i31−i3−1−i3−1+i30000000-21+i31−i302−1−i3−1+i30-21+i31−i302−1−i3−1+i30−2i3−3+i33+i302i33−i3−3−i30−2i3−3+i33+i302i33−i3−3−i3000000000000000000000000000000000000000000000000
χ1016-66-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3000000-22-221+i31−i3−1−i3−1+i31+i31−i3−1−i3−1+i30000000-21+i31−i302−1−i3−1+i30-21+i31−i302−1−i3−1+i302i33−i3−3−i30−2i3−3+i33+i302i33−i3−3−i30−2i3−3+i33+i3000000000000000000000000000000000000000000000000
χ1026-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i30000006-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1036-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3000000-22-221−i31+i3−1+i3−1−i31−i31+i3−1+i3−1−i300000004−2+2i3−2−2i30-42−2i32+2i304−2+2i3−2−2i30-42−2i32+2i30000000000000000000000000000000000000000000000000000000000000000
χ1046-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3000000-22-221−i31+i3−1+i3−1−i31−i31+i3−1+i3−1−i30000000-21−i31+i302−1+i3−1−i30-21−i31+i302−1+i3−1−i30−2i33+i3−3+i302i3−3−i33−i30−2i33+i3−3+i302i3−3−i33−i3000000000000000000000000000000000000000000000000
χ1056-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3000000-22-221−i31+i3−1+i3−1−i31−i31+i3−1+i3−1−i30000000-21−i31+i302−1+i3−1−i30-21−i31+i302−1+i3−1−i302i3−3−i33−i30−2i33+i3−3+i302i3−3−i33−i30−2i33+i3−3+i3000000000000000000000000000000000000000000000000
χ1066-6-6666-6-6-6-666000000-222-2-2-22222-2-20060000-2-2-2-6222-62226-2-2-20000000000000000000000000000000000000000000000000000000000000000
χ1076-6-6666-6-6-6-666000000-222-2-2-22222-2-200-300001113-1-1-13-1-1-1-3111−3i3i3i3i33i3−i3−i3−i33i3−i3−i3−i3−3i3i3i3i3000000000000000000000000000000000000000000000000
χ1086-6-6666-6-6-6-666000000-222-2-2-22222-2-200-300001113-1-1-13-1-1-1-31113i3−i3−i3−i3−3i3i3i3i3−3i3i3i3i33i3−i3−i3−i3000000000000000000000000000000000000000000000000
χ1096-6-66−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i30000006-6-66−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1106-6-66−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3000000-222-21+i31−i3−1−i3−1+i3−1−i3−1+i31+i31−i300000004−2−2i3−2+2i30-42+2i32−2i30-42+2i32−2i304−2−2i3−2+2i30000000000000000000000000000000000000000000000000000000000000000
χ1116-6-66−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3000000-222-21+i31−i3−1−i3−1+i3−1−i3−1+i31+i31−i30000000-21+i31−i302−1−i3−1+i302−1−i3−1+i30-21+i31−i30−2i3−3+i33+i302i33−i3−3−i302i33−i3−3−i30−2i3−3+i33+i3000000000000000000000000000000000000000000000000
χ1126-6-66−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3000000-222-21+i31−i3−1−i3−1+i3−1−i3−1+i31+i31−i30000000-21+i31−i302−1−i3−1+i302−1−i3−1+i30-21+i31−i302i33−i3−3−i30−2i3−3+i33+i30−2i3−3+i33+i302i33−i3−3−i3000000000000000000000000000000000000000000000000
χ1136-6-66−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i30000006-6-66−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1146-6-66−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3000000-222-21−i31+i3−1+i3−1−i3−1+i3−1−i31−i31+i300000004−2+2i3−2−2i30-42−2i32+2i30-42−2i32+2i304−2+2i3−2−2i30000000000000000000000000000000000000000000000000000000000000000
χ1156-6-66−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3000000-222-21−i31+i3−1+i3−1−i3−1+i3−1−i31−i31+i30000000-21−i31+i302−1+i3−1−i302−1+i3−1−i30-21−i31+i30−2i33+i3−3+i302i3−3−i33−i302i3−3−i33−i30−2i33+i3−3+i3000000000000000000000000000000000000000000000000
χ1166-6-66−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3000000-222-21−i31+i3−1+i3−1−i3−1+i3−1−i31−i31+i30000000-21−i31+i302−1+i3−1−i302−1+i3−1−i30-21−i31+i302i3−3−i33−i30−2i33+i3−3+i30−2i33+i3−3+i302i3−3−i33−i3000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.