Finite Group Databasebeta

← Group #13049640

Character table — Group #13049640

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size112222222222222444444444444444444446699121212121212121218181818185454112222222222222444444444444444444446699121212121212121218181818185454112222222222222444444444444444444446699121212121212121218181818185454
order1223333366666663333666666666666666624446666121212124121212122436633333666666633336666666666666666612121266661212121212121212126123663333366666663333666666666666666661212126666121212121212121212612
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-11111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-11111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111111-1-111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111111-1-111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111111-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ511-111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1111111-1-1-1-1-111-1-1-1111-111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1111111-1-1-1-1-111-1-1-1111-111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1111111-1-1-1-1-111-1-1-11
χ611-111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-11-1-1111-111-111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-11-1-1111-111-111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-11-1-1111-1
χ711-111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-11111-111-1-11-111-111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-11111-111-1-11-111-111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-11111-111-1-11-1
χ811-111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111111-1-111-1111-111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111111-1-111-1111-111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111111-1-111-11
χ922222-1-1-1222-1-1-122-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122002-1-1-12-1-1-1000000022222-1-1-1222-1-1-122-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122002-1-1-12-1-1-1000000022222-1-1-1222-1-1-122-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122002-1-1-12-1-1-10000000
χ1022222-1-1-1222-1-1-122-1-1-12-1-1-12-1-1-122-1-1-1-1-1-1-2-200-2111-2111000000022222-1-1-1222-1-1-122-1-1-12-1-1-12-1-1-122-1-1-1-1-1-1-2-200-2111-2111000000022222-1-1-1222-1-1-122-1-1-12-1-1-12-1-1-122-1-1-1-1-1-1-2-200-2111-21110000000
χ112222-12-1-122-12-1-12-12-1-1-12-1-1-12-1-1-1-122-1-1-1-12200-12-1-1-12-1-100000002222-12-1-122-12-1-12-12-1-1-12-1-1-12-1-1-1-122-1-1-1-12200-12-1-1-12-1-100000002222-12-1-122-12-1-12-12-1-1-12-1-1-12-1-1-1-122-1-1-1-12200-12-1-1-12-1-10000000
χ122222-12-1-122-12-1-12-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-2-2001-2111-21100000002222-12-1-122-12-1-12-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-2-2001-2111-21100000002222-12-1-122-12-1-12-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-2-2001-2111-2110000000
χ132222-1-12-122-1-12-12-1-12-1-1-12-1-1-12-1-1-1-1-122-1-12200-1-12-1-1-12-100000002222-1-12-122-1-12-12-1-12-1-1-12-1-1-12-1-1-1-1-122-1-12200-1-12-1-1-12-100000002222-1-12-122-1-12-12-1-12-1-1-12-1-1-12-1-1-1-1-122-1-12200-1-12-1-1-12-10000000
χ142222-1-12-122-1-12-12-1-12-1-1-12-1-1-12-1-1-1-1-122-1-1-2-20011-2111-2100000002222-1-12-122-1-12-12-1-12-1-1-12-1-1-12-1-1-1-1-122-1-1-2-20011-2111-2100000002222-1-12-122-1-12-12-1-12-1-1-12-1-1-12-1-1-1-1-122-1-1-2-20011-2111-210000000
χ152222-1-1-1222-1-1-122-1-1-12-1-1-12-1-1-12-1-1-1-1-1-1222200-1-1-12-1-1-1200000002222-1-1-1222-1-1-122-1-1-12-1-1-12-1-1-12-1-1-1-1-1-1222200-1-1-12-1-1-1200000002222-1-1-1222-1-1-122-1-1-12-1-1-12-1-1-12-1-1-1-1-1-1222200-1-1-12-1-1-120000000
χ162222-1-1-1222-1-1-122-1-1-12-1-1-12-1-1-12-1-1-1-1-1-122-2-200111-2111-200000002222-1-1-1222-1-1-122-1-1-12-1-1-12-1-1-12-1-1-1-1-1-122-2-200111-2111-200000002222-1-1-1222-1-1-122-1-1-12-1-1-12-1-1-12-1-1-1-1-1-122-2-200111-2111-20000000
χ17222-12222-1-12222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10022000000002-1-1-1-100222-12222-1-12222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10022000000002-1-1-1-100222-12222-1-12222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10022000000002-1-1-1-100
χ18222-12222-1-12222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-200000000-2111100222-12222-1-12222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-200000000-2111100222-12222-1-12222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-200000000-2111100
χ1922-222-1-1-1-2-22-1-1-122-1-1-1-21112-1-1-1-2-21111112-2002-1-1-1-2111000000022-222-1-1-1-2-22-1-1-122-1-1-1-21112-1-1-1-2-21111112-2002-1-1-1-2111000000022-222-1-1-1-2-22-1-1-122-1-1-1-21112-1-1-1-2-21111112-2002-1-1-1-21110000000
χ2022-222-1-1-1-2-22-1-1-122-1-1-1-21112-1-1-1-2-2111111-2200-21112-1-1-1000000022-222-1-1-1-2-22-1-1-122-1-1-1-21112-1-1-1-2-2111111-2200-21112-1-1-1000000022-222-1-1-1-2-22-1-1-122-1-1-1-21112-1-1-1-2-2111111-2200-21112-1-1-10000000
χ2122-22-12-1-1-2-2-12-1-12-12-1-11-211-12-1-111-2-211112-200-12-1-11-211000000022-22-12-1-1-2-2-12-1-12-12-1-11-211-12-1-111-2-211112-200-12-1-11-211000000022-22-12-1-1-2-2-12-1-12-12-1-11-211-12-1-111-2-211112-200-12-1-11-2110000000
χ2222-22-12-1-1-2-2-12-1-12-12-1-11-211-12-1-111-2-21111-22001-211-12-1-1000000022-22-12-1-1-2-2-12-1-12-12-1-11-211-12-1-111-2-21111-22001-211-12-1-1000000022-22-12-1-1-2-2-12-1-12-12-1-11-211-12-1-111-2-21111-22001-211-12-1-10000000
χ2322-22-1-12-1-2-2-1-12-12-1-12-111-21-1-12-11111-2-2112-200-1-12-111-21000000022-22-1-12-1-2-2-1-12-12-1-12-111-21-1-12-11111-2-2112-200-1-12-111-21000000022-22-1-12-1-2-2-1-12-12-1-12-111-21-1-12-11111-2-2112-200-1-12-111-210000000
χ2422-22-1-12-1-2-2-1-12-12-1-12-111-21-1-12-11111-2-211-220011-21-1-12-1000000022-22-1-12-1-2-2-1-12-12-1-12-111-21-1-12-11111-2-211-220011-21-1-12-1000000022-22-1-12-1-2-2-1-12-12-1-12-111-21-1-12-11111-2-211-220011-21-1-12-10000000
χ2522-22-1-1-12-2-2-1-1-122-1-1-12111-2-1-1-12111111-2-22-200-1-1-12111-2000000022-22-1-1-12-2-2-1-1-122-1-1-12111-2-1-1-12111111-2-22-200-1-1-12111-2000000022-22-1-1-12-2-2-1-1-122-1-1-12111-2-1-1-12111111-2-22-200-1-1-12111-20000000
χ2622-22-1-1-12-2-2-1-1-122-1-1-12111-2-1-1-12111111-2-2-2200111-2-1-1-12000000022-22-1-1-12-2-2-1-1-122-1-1-12111-2-1-1-12111111-2-2-2200111-2-1-1-12000000022-22-1-1-12-2-2-1-1-122-1-1-12111-2-1-1-12111111-2-2-2200111-2-1-1-120000000
χ2722-2-12222112222-1-1-1-1-1-2-2-2-2-1-1-1-111111111002200000000-2-1-1110022-2-12222112222-1-1-1-1-1-2-2-2-2-1-1-1-111111111002200000000-2-1-1110022-2-12222112222-1-1-1-1-1-2-2-2-2-1-1-1-111111111002200000000-2-1-11100
χ2822-2-12222112222-1-1-1-1-1-2-2-2-2-1-1-1-11111111100-2-200000000211-1-10022-2-12222112222-1-1-1-1-1-2-2-2-2-1-1-1-11111111100-2-200000000211-1-10022-2-12222112222-1-1-1-1-1-2-2-2-2-1-1-1-11111111100-2-200000000211-1-100
χ292-202222200-2-2-2-2-222220000-2-2-2-200000000002i−2i0000000002i−2i00002-202222200-2-2-2-2-222220000-2-2-2-200000000002i−2i0000000002i−2i00002-202222200-2-2-2-2-222220000-2-2-2-200000000002i−2i0000000002i−2i0000
χ302-202222200-2-2-2-2-222220000-2-2-2-20000000000−2i2i000000000−2i2i00002-202222200-2-2-2-2-222220000-2-2-2-20000000000−2i2i000000000−2i2i00002-202222200-2-2-2-2-222220000-2-2-2-20000000000−2i2i000000000−2i2i0000
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χ504-40-2-24-2-22i3−2i32-42221-2110000-12-1-1−i3i32i3−2i3−i3i3−i3i300000000000000000004-40-2-24-2-22i3−2i32-42221-2110000-12-1-1−i3i32i3−2i3−i3i3−i3i300000000000000000004-40-2-24-2-22i3−2i32-42221-2110000-12-1-1−i3i32i3−2i3−i3i3−i3i30000000000000000000
χ514-40-2-2-24-2−2i32i322-42211-210000-1-12-1i3−i3i3−i3−2i32i3i3−i300000000000000000004-40-2-2-24-2−2i32i322-42211-210000-1-12-1i3−i3i3−i3−2i32i3i3−i300000000000000000004-40-2-2-24-2−2i32i322-42211-210000-1-12-1i3−i3i3−i3−2i32i3i3−i30000000000000000000
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χ5911-111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1111111-1-1-1-1-111-1-1-11−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32
χ6011-111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-11-1-1111-1−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32
χ6111-111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-11111-111-1-11-1−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32
χ6211-111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111111-1-111-11−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32
χ6322222-1-1-1222-1-1-122-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122002-1-1-12-1-1-10000000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i300−1+i31−i321−i321−i32−1+i31−i321−i321−i320000000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i300−1−i31+i321+i321+i32−1−i31+i321+i321+i320000000
χ6422222-1-1-1222-1-1-122-1-1-12-1-1-12-1-1-122-1-1-1-1-1-1-2-200-2111-21110000000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i31−i3001−i3−1+i32−1+i32−1+i321−i3−1+i32−1+i32−1+i320000000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i31+i3001+i3−1−i32−1−i32−1−i321+i3−1−i32−1−i32−1−i320000000
χ652222-12-1-122-12-1-12-12-1-1-12-1-1-12-1-1-1-122-1-1-1-12200-12-1-1-12-1-10000000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i3001−i32−1+i31−i321−i321−i32−1+i31−i321−i320000000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i3001+i32−1−i31+i321+i321+i32−1−i31+i321+i320000000
χ662222-12-1-122-12-1-12-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-2-2001-2111-2110000000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i31−i300−1+i321−i3−1+i32−1+i32−1+i321−i3−1+i32−1+i320000000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i31+i300−1−i321+i3−1−i32−1−i32−1−i321+i3−1−i32−1−i320000000
χ672222-1-12-122-1-12-12-1-12-1-1-12-1-1-12-1-1-1-1-122-1-12200-1-12-1-1-12-10000000−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i31−i32−1+i3−1+i31−i321−i32−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i3001−i321−i32−1+i31−i321−i321−i32−1+i31−i320000000−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i31+i32−1−i3−1−i31+i321+i32−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i3001+i321+i32−1−i31+i321+i321+i32−1−i31+i320000000
χ682222-1-12-122-1-12-12-1-12-1-1-12-1-1-12-1-1-1-1-122-1-1-2-20011-2111-210000000−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i31−i32−1+i3−1+i31−i321−i32−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i31−i300−1+i32−1+i321−i3−1+i32−1+i32−1+i321−i3−1+i320000000−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i31+i32−1−i3−1−i31+i321+i32−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i31+i300−1−i32−1−i321+i3−1−i32−1−i32−1−i321+i3−1−i320000000
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χ702222-1-1-1222-1-1-122-1-1-12-1-1-12-1-1-12-1-1-1-1-1-122-2-200111-2111-20000000−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i31−i300−1+i32−1+i32−1+i321−i3−1+i32−1+i32−1+i321−i30000000−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i31+i300−1−i32−1−i32−1−i321+i3−1−i32−1−i32−1−i321+i30000000
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χ11211111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−1−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−i32−1−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−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+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+i32−1+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ11311-111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1111111-1-1-1-1-111-1-1-11−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32
χ11411-111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-11-1-1111-1−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32
χ11511-111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-11111-111-1-11-1−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32
χ11611-111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111111-1-111-11−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32
χ11722222-1-1-1222-1-1-122-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122002-1-1-12-1-1-10000000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i300−1−i31+i321+i321+i32−1−i31+i321+i321+i320000000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i300−1+i31−i321−i321−i32−1+i31−i321−i321−i320000000
χ11822222-1-1-1222-1-1-122-1-1-12-1-1-12-1-1-122-1-1-1-1-1-1-2-200-2111-21110000000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i31+i3001+i3−1−i32−1−i32−1−i321+i3−1−i32−1−i32−1−i320000000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i31−i3001−i3−1+i32−1+i32−1+i321−i3−1+i32−1+i32−1+i320000000
χ1192222-12-1-122-12-1-12-12-1-1-12-1-1-12-1-1-1-122-1-1-1-12200-12-1-1-12-1-10000000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i3001+i32−1−i31+i321+i321+i32−1−i31+i321+i320000000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i3001−i32−1+i31−i321−i321−i32−1+i31−i321−i320000000
χ1202222-12-1-122-12-1-12-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-2-2001-2111-2110000000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i31+i300−1−i321+i3−1−i32−1−i32−1−i321+i3−1−i32−1−i320000000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i31−i300−1+i321−i3−1+i32−1+i32−1+i321−i3−1+i32−1+i320000000
χ1212222-1-12-122-1-12-12-1-12-1-1-12-1-1-12-1-1-1-1-122-1-12200-1-12-1-1-12-10000000−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i31+i32−1−i3−1−i31+i321+i32−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i3001+i321+i32−1−i31+i321+i321+i32−1−i31+i320000000−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i31−i32−1+i3−1+i31−i321−i32−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i3001−i321−i32−1+i31−i321−i321−i32−1+i31−i320000000
χ1222222-1-12-122-1-12-12-1-12-1-1-12-1-1-12-1-1-1-1-122-1-1-2-20011-2111-210000000−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i31+i32−1−i3−1−i31+i321+i32−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i31+i300−1−i32−1−i321+i3−1−i32−1−i32−1−i321+i3−1−i320000000−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i31−i32−1+i3−1+i31−i321−i32−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i31−i300−1+i32−1+i321−i3−1+i32−1+i32−1+i321−i3−1+i320000000
χ1232222-1-1-1222-1-1-122-1-1-12-1-1-12-1-1-12-1-1-1-1-1-1222200-1-1-12-1-1-120000000−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i3001+i321+i321+i32−1−i31+i321+i321+i32−1−i30000000−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i3001−i321−i321−i32−1+i31−i321−i321−i32−1+i30000000
χ1242222-1-1-1222-1-1-122-1-1-12-1-1-12-1-1-12-1-1-1-1-1-122-2-200111-2111-20000000−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i31+i300−1−i32−1−i32−1−i321+i3−1−i32−1−i32−1−i321+i30000000−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i31−i300−1+i32−1+i32−1+i321−i3−1+i32−1+i32−1+i321−i30000000
χ125222-12222-1-12222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10022000000002-1-1-1-100−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i3200−1−i3−1−i300000000−1−i31+i321+i321+i321+i3200−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i3200−1+i3−1+i300000000−1+i31−i321−i321−i321−i3200
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.