Finite Group Databasebeta

← Group #13047983

Character table — Group #13047983

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size111111222444666666661212121212121212121212121818181818183636361111112224446666666612121212121212121212121218181818181836363611111122244466666666121212121212121212121212181818181818363636
order1233664121241212333366661212121212121212121212128824242424412123633661212121212123333666612121212121212121212121224242424242412121236336612121212121233336666121212121212121212121212242424242424121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1
χ3111111111-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1111111111-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1111111111-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1
χ4111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ52222222222222-1-1-12-1-1-12-1-1-122-1-1-1-1-1-10000000002222222222222-1-1-12-1-1-12-1-1-122-1-1-1-1-1-10000000002222222222222-1-1-12-1-1-12-1-1-122-1-1-1-1-1-1000000000
χ6222222222222-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1000000000222222222222-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1000000000222222222222-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1000000000
χ7222222222222-1-12-1-1-12-1-1-12-1-1-1-1-122-1-1000000000222222222222-1-12-1-1-12-1-1-12-1-1-1-1-122-1-1000000000222222222222-1-12-1-1-12-1-1-12-1-1-1-1-122-1-1000000000
χ8222222222222-1-1-12-1-1-12-1-1-12-1-1-1-1-1-122000000000222222222222-1-1-12-1-1-12-1-1-12-1-1-1-1-1-122000000000222222222222-1-1-12-1-1-12-1-1-12-1-1-1-1-1-122000000000
χ9222222222-2-2-22-1-1-12-1-1-12-1-1-1-2-2111111000000000222222222-2-2-22-1-1-12-1-1-12-1-1-1-2-2111111000000000222222222-2-2-22-1-1-12-1-1-12-1-1-1-2-2111111000000000
χ10222222222-2-2-2-12-1-1-12-1-1-12-1-111-2-21111000000000222222222-2-2-2-12-1-1-12-1-1-12-1-111-2-21111000000000222222222-2-2-2-12-1-1-12-1-1-12-1-111-2-21111000000000
χ11222222222-2-2-2-1-12-1-1-12-1-1-12-11111-2-211000000000222222222-2-2-2-1-12-1-1-12-1-1-12-11111-2-211000000000222222222-2-2-2-1-12-1-1-12-1-1-12-11111-2-211000000000
χ12222222222-2-2-2-1-1-12-1-1-12-1-1-12111111-2-2000000000222222222-2-2-2-1-1-12-1-1-12-1-1-12111111-2-2000000000222222222-2-2-2-1-1-12-1-1-12-1-1-12111111-2-2000000000
χ13222222-2-2-200022222222-2-2-2-200000000000000000222222-2-2-200022222222-2-2-2-200000000000000000222222-2-2-200022222222-2-2-2-200000000000000000
χ14222222-2-2-20002-1-1-12-1-1-1-211100−i3i3−i3i3−i3i3000000000222222-2-2-20002-1-1-12-1-1-1-211100−i3i3−i3i3−i3i3000000000222222-2-2-20002-1-1-12-1-1-1-211100−i3i3−i3i3−i3i3000000000
χ15222222-2-2-20002-1-1-12-1-1-1-211100i3−i3i3−i3i3−i3000000000222222-2-2-20002-1-1-12-1-1-1-211100i3−i3i3−i3i3−i3000000000222222-2-2-20002-1-1-12-1-1-1-211100i3−i3i3−i3i3−i3000000000
χ16222222-2-2-2000-12-1-1-12-1-11-211−i3i300−i3i3i3−i3000000000222222-2-2-2000-12-1-1-12-1-11-211−i3i300−i3i3i3−i3000000000222222-2-2-2000-12-1-1-12-1-11-211−i3i300−i3i3i3−i3000000000
χ17222222-2-2-2000-12-1-1-12-1-11-211i3−i300i3−i3−i3i3000000000222222-2-2-2000-12-1-1-12-1-11-211i3−i300i3−i3−i3i3000000000222222-2-2-2000-12-1-1-12-1-11-211i3−i300i3−i3−i3i3000000000
χ18222222-2-2-2000-1-12-1-1-12-111-21−i3i3i3−i300−i3i3000000000222222-2-2-2000-1-12-1-1-12-111-21−i3i3i3−i300−i3i3000000000222222-2-2-2000-1-12-1-1-12-111-21−i3i3i3−i300−i3i3000000000
χ19222222-2-2-2000-1-12-1-1-12-111-21i3−i3−i3i300i3−i3000000000222222-2-2-2000-1-12-1-1-12-111-21i3−i3−i3i300i3−i3000000000222222-2-2-2000-1-12-1-1-12-111-21i3−i3−i3i300i3−i3000000000
χ20222222-2-2-2000-1-1-12-1-1-12111-2−i3i3−i3i3i3−i300000000000222222-2-2-2000-1-1-12-1-1-12111-2−i3i3−i3i3i3−i300000000000222222-2-2-2000-1-1-12-1-1-12111-2−i3i3−i3i3i3−i300000000000
χ21222222-2-2-2000-1-1-12-1-1-12111-2i3−i3i3−i3−i3i300000000000222222-2-2-2000-1-1-12-1-1-12111-2i3−i3i3−i3−i3i300000000000222222-2-2-2000-1-1-12-1-1-12111-2i3−i3i3−i3−i3i300000000000
χ222-222-2-20000002222-2-2-2-20000000000002−222−2−20002-222-2-20000002222-2-2-2-20000000000002−222−2−20002-222-2-20000002222-2-2-2-20000000000002−222−2−2000
χ232-222-2-20000002222-2-2-2-2000000000000−22−2−2220002-222-2-20000002222-2-2-2-2000000000000−22−2−2220002-222-2-20000002222-2-2-2-2000000000000−22−2−222000
χ2433−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i320000000000000000000011−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i320000000000000000000011−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i320000000000000000000011−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32
χ2533−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i3200000000000000000000-1-11+i321−i321+i321−i32-11+i321−i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i3200000000000000000000-1-11+i321−i321+i321−i32-11+i321−i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i3200000000000000000000-1-11+i321−i321+i321−i32-11+i321−i32
χ2633−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-33+3i323−3i320000000000000000000011−1−i32−1+i32−1−i32−1+i32-11+i321−i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-33+3i323−3i320000000000000000000011−1−i32−1+i32−1−i32−1+i32-11+i321−i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-33+3i323−3i320000000000000000000011−1−i32−1+i32−1−i32−1+i32-11+i321−i32
χ2733−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-33+3i323−3i3200000000000000000000-1-11+i321−i321+i321−i321−1−i32−1+i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-33+3i323−3i3200000000000000000000-1-11+i321−i321+i321−i321−1−i32−1+i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-33+3i323−3i3200000000000000000000-1-11+i321−i321+i321−i321−1−i32−1+i32
χ2833−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i320000000000000000000011−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i320000000000000000000011−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i320000000000000000000011−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32
χ2933−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i3200000000000000000000-1-11−i321+i321−i321+i32-11−i321+i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i3200000000000000000000-1-11−i321+i321−i321+i32-11−i321+i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i3200000000000000000000-1-11−i321+i321−i321+i32-11−i321+i32
χ3033−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-33−3i323+3i320000000000000000000011−1+i32−1−i32−1+i32−1−i32-11−i321+i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-33−3i323+3i320000000000000000000011−1+i32−1−i32−1+i32−1−i32-11−i321+i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-33−3i323+3i320000000000000000000011−1+i32−1−i32−1+i32−1−i32-11−i321+i32
χ3133−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-33−3i323+3i3200000000000000000000-1-11−i321+i321−i321+i321−1+i32−1−i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-33−3i323+3i3200000000000000000000-1-11−i321+i321−i321+i321−1+i32−1−i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-33−3i323+3i3200000000000000000000-1-11−i321+i321−i321+i321−1+i32−1−i32
χ324-444-4-40000004-2-2-2-42220000000000000000000004-444-4-40000004-2-2-2-42220000000000000000000004-444-4-40000004-2-2-2-4222000000000000000000000
χ334-444-4-4000000-24-2-22-4220000000000000000000004-444-4-4000000-24-2-22-4220000000000000000000004-444-4-4000000-24-2-22-422000000000000000000000
χ344-444-4-4000000-2-24-222-420000000000000000000004-444-4-4000000-2-24-222-420000000000000000000004-444-4-4000000-2-24-222-42000000000000000000000
χ354-444-4-4000000-2-2-24222-40000000000000000000004-444-4-4000000-2-2-24222-40000000000000000000004-444-4-4000000-2-2-24222-4000000000000000000000
χ3666−3−3i3−3+3i3−3−3i3−3+3i3-63+3i33−3i30000000000000000000000000000000066−3−3i3−3+3i3−3−3i3−3+3i3-63+3i33−3i30000000000000000000000000000000066−3−3i3−3+3i3−3−3i3−3+3i3-63+3i33−3i300000000000000000000000000000000
χ3766−3+3i3−3−3i3−3+3i3−3−3i3-63−3i33+3i30000000000000000000000000000000066−3+3i3−3−3i3−3+3i3−3−3i3-63−3i33+3i30000000000000000000000000000000066−3+3i3−3−3i3−3+3i3−3−3i3-63−3i33+3i300000000000000000000000000000000
χ386-6−3−3i3−3+3i33+3i33−3i3000000000000000000000000002−2−ζ7+ζ13ζ5−ζ23ζ7−ζ13−ζ5+ζ230006-6−3−3i3−3+3i33+3i33−3i3000000000000000000000000002−2−ζ7+ζ13ζ5−ζ23ζ7−ζ13−ζ5+ζ230006-6−3−3i3−3+3i33+3i33−3i3000000000000000000000000002−2−ζ7+ζ13ζ5−ζ23ζ7−ζ13−ζ5+ζ23000
χ396-6−3−3i3−3+3i33+3i33−3i300000000000000000000000000−22ζ7−ζ13−ζ5+ζ23−ζ7+ζ13ζ5−ζ230006-6−3−3i3−3+3i33+3i33−3i300000000000000000000000000−22ζ7−ζ13−ζ5+ζ23−ζ7+ζ13ζ5−ζ230006-6−3−3i3−3+3i33+3i33−3i300000000000000000000000000−22ζ7−ζ13−ζ5+ζ23−ζ7+ζ13ζ5−ζ23000
χ406-6−3+3i3−3−3i33−3i33+3i3000000000000000000000000002−2ζ5−ζ23−ζ7+ζ13−ζ5+ζ23ζ7−ζ130006-6−3+3i3−3−3i33−3i33+3i3000000000000000000000000002−2ζ5−ζ23−ζ7+ζ13−ζ5+ζ23ζ7−ζ130006-6−3+3i3−3−3i33−3i33+3i3000000000000000000000000002−2ζ5−ζ23−ζ7+ζ13−ζ5+ζ23ζ7−ζ13000
χ416-6−3+3i3−3−3i33−3i33+3i300000000000000000000000000−22−ζ5+ζ23ζ7−ζ13ζ5−ζ23−ζ7+ζ130006-6−3+3i3−3−3i33−3i33+3i300000000000000000000000000−22−ζ5+ζ23ζ7−ζ13ζ5−ζ23−ζ7+ζ130006-6−3+3i3−3−3i33−3i33+3i300000000000000000000000000−22−ζ5+ζ23ζ7−ζ13ζ5−ζ23−ζ7+ζ13000
χ4211111111111111111111111111111111111111111−1+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+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ4311111111111111111111111111111111-1-1-1-1-1-1-1-1-1−1+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−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+i32
χ44111111111-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32
χ45111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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+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−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−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32
χ462222222222222-1-1-12-1-1-12-1-1-122-1-1-1-1-1-1000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+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−i32000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−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+i32000000000
χ47222222222222-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+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−i32000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−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+i32000000000
χ48222222222222-1-12-1-1-12-1-1-12-1-1-1-1-122-1-1000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+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−i32000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−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+i32000000000
χ49222222222222-1-1-12-1-1-12-1-1-12-1-1-1-1-1-122000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+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+i3000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−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−i3000000000
χ50222222222-2-2-22-1-1-12-1-1-12-1-1-1-2-2111111000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000000
χ51222222222-2-2-2-12-1-1-12-1-1-12-1-111-2-21111000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32000000000
χ52222222222-2-2-2-1-12-1-1-12-1-1-12-11111-2-211000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i32000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i32000000000
χ53222222222-2-2-2-1-1-12-1-1-12-1-1-12111111-2-2000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i3000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i3000000000
χ54222222-2-2-200022222222-2-2-2-200000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i3000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i300000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i3000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i300000000000000000
χ55222222-2-2-20002-1-1-12-1-1-1-211100−i3i3−i3i3−i3i3000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i3000−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i3−1+i32−1+i32−1+i32003+i32−3−i323+i32−3−i323+i32−3−i32000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i3000−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i3−1−i32−1−i32−1−i3200−3+i323−i32−3+i323−i32−3+i323−i32000000000
χ56222222-2-2-20002-1-1-12-1-1-1-211100i3−i3i3−i3i3−i3000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i3000−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i3−1+i32−1+i32−1+i3200−3−i323+i32−3−i323+i32−3−i323+i32000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i3000−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i3−1−i32−1−i32−1−i32003−i32−3+i323−i32−3+i323−i32−3+i32000000000
χ57222222-2-2-2000-12-1-1-12-1-11-211−i3i300−i3i3i3−i3000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i30001−i32−1+i31−i321−i321−i32−1+i31−i321−i32−1+i321−i3−1+i32−1+i323+i32−3−i32003+i32−3−i32−3−i323+i32000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i30001+i32−1−i31+i321+i321+i32−1−i31+i321+i32−1−i321+i3−1−i32−1−i32−3+i323−i3200−3+i323−i323−i32−3+i32000000000
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χ59222222-2-2-2000-1-12-1-1-12-111-21−i3i3i3−i300−i3i3000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i30001−i321−i32−1+i31−i321−i321−i32−1+i31−i32−1+i32−1+i321−i3−1+i323+i32−3−i32−3−i323+i32003+i32−3−i32000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i30001+i321+i32−1−i31+i321+i321+i32−1−i31+i32−1−i32−1−i321+i3−1−i32−3+i323−i323−i32−3+i3200−3+i323−i32000000000
χ60222222-2-2-2000-1-12-1-1-12-111-21i3−i3−i3i300i3−i3000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i30001−i321−i32−1+i31−i321−i321−i32−1+i31−i32−1+i32−1+i321−i3−1+i32−3−i323+i323+i32−3−i3200−3−i323+i32000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i30001+i321+i32−1−i31+i321+i321+i32−1−i31+i32−1−i32−1−i321+i3−1−i323−i32−3+i32−3+i323−i32003−i32−3+i32000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.