Finite Group Databasebeta

← Group #11874325

Character table — Group #11874325

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111224444448888222244888888161616162222448888881616161622224488888816161616222244888888161616169999181836363636363672727272
order122244448888222436661212121224242424666129181818363636367272727218181836918181836363636727272721818183691818183636363672727272181818362222444488882224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1
χ311111111-1-1-1-111-1-111111111-1-1-1-111-1-111111111-1-1-1-111-1-111111111-1-1-1-111-1-111111111-1-1-1-111-1-111111111-1-1-1-111-1-1
χ411111111-1-1-1-1-1-11111111111-1-1-1-1-1-11111111111-1-1-1-1-1-11111111111-1-1-1-1-1-11111111111-1-1-1-1-1-11111111111-1-1-1-1-1-111
χ5111111-1-111-1-11-11-1111111-1-111-1-11-11-1111111-1-111-1-11-11-1111111-1-111-1-11-11-1111111-1-111-1-11-11-1111111-1-111-1-11-11-1
χ6111111-1-111-1-1-11-11111111-1-111-1-1-11-11111111-1-111-1-1-11-11111111-1-111-1-1-11-11111111-1-111-1-1-11-11111111-1-111-1-1-11-11
χ7111111-1-1-1-1111-1-11111111-1-1-1-1111-1-11111111-1-1-1-1111-1-11111111-1-1-1-1111-1-11111111-1-1-1-1111-1-11111111-1-1-1-1111-1-11
χ8111111-1-1-1-111-111-1111111-1-1-1-111-111-1111111-1-1-1-111-111-1111111-1-1-1-111-111-1111111-1-1-1-111-111-1111111-1-1-1-111-111-1
χ92222-2-22-2000000002222-2-22-2000000002222-2-22-2000000002222-2-22-2000000002222-2-22-2000000002222-2-22-200000000
χ102222-2-2-22000000002222-2-2-22000000002222-2-2-22000000002222-2-2-22000000002222-2-2-22000000002222-2-2-2200000000
χ112-2-222-200002-200002-2-222-200002-200002-2-222-200002-200002-2-222-200002-200002-2-222-200002-200002-2-222-200002-20000
χ122-2-222-20000-2200002-2-222-20000-2200002-2-222-20000-2200002-2-222-20000-2200002-2-222-20000-2200002-2-222-20000-220000
χ132-2-22-22002-20000002-2-22-22002-20000002-2-22-22002-20000002-2-22-22002-20000002-2-22-22002-20000002-2-22-22002-2000000
χ142-2-22-2200-220000002-2-22-2200-220000002-2-22-2200-220000002-2-22-2200-220000002-2-22-2200-220000002-2-22-2200-22000000
χ1544-4-400000000000044-4-400000000000044-4-400000000000044-4-400000000000044-4-400000000000044-4-4000000000000
χ164-44-40000000000004-44-40000000000004-44-40000000000004-44-40000000000004-44-40000000000004-44-4000000000000
χ1711111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ18111111111111-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ1911111111-1-1-1-111-1-111111111-1-1-1-111-1-111111111-1-1-1-111-1-111111111-1-1-1-111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111
χ2011111111-1-1-1-1-1-11111111111-1-1-1-1-1-11111111111-1-1-1-1-1-11111111111-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1
χ21111111-1-111-1-11-11-1111111-1-111-1-11-11-1111111-1-111-1-11-11-1111111-1-111-1-11-11-1111111-1-111-1-11-11-1-1-1-1-1-1-111-1-111-11-11
χ22111111-1-111-1-1-11-11111111-1-111-1-1-11-11111111-1-111-1-1-11-11111111-1-111-1-1-11-11111111-1-111-1-1-11-11-1-1-1-1-1-111-1-1111-11-1
χ23111111-1-1-1-1111-1-11111111-1-1-1-1111-1-11111111-1-1-1-1111-1-11111111-1-1-1-1111-1-11111111-1-1-1-1111-1-11-1-1-1-1-1-11111-1-1-111-1
χ24111111-1-1-1-111-111-1111111-1-1-1-111-111-1111111-1-1-1-111-111-1111111-1-1-1-111-111-1111111-1-1-1-111-111-1-1-1-1-1-1-11111-1-11-1-11
χ252222-2-22-2000000002222-2-22-2000000002222-2-22-2000000002222-2-22-2000000002222-2-22-200000000-2-2-2-222-2200000000
χ262222-2-2-22000000002222-2-2-22000000002222-2-2-22000000002222-2-2-22000000002222-2-2-2200000000-2-2-2-2222-200000000
χ272-2-222-200002-200002-2-222-200002-200002-2-222-200002-200002-2-222-200002-200002-2-222-200002-20000-222-2-220000-220000
χ282-2-222-20000-2200002-2-222-20000-2200002-2-222-20000-2200002-2-222-20000-2200002-2-222-20000-220000-222-2-2200002-20000
χ292-2-22-22002-20000002-2-22-22002-20000002-2-22-22002-20000002-2-22-22002-20000002-2-22-22002-2000000-222-22-200-22000000
χ302-2-22-2200-220000002-2-22-2200-220000002-2-22-2200-220000002-2-22-2200-220000002-2-22-2200-22000000-222-22-2002-2000000
χ3144-4-400000000000044-4-400000000000044-4-400000000000044-4-400000000000044-4-4000000000000-4-444000000000000
χ324-44-40000000000004-44-40000000000004-44-40000000000004-44-40000000000004-44-4000000000000-44-44000000000000
χ3322222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ34222222222222-2-2-2-2222222222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111110000000000000000
χ3522222222-2-2-2-222-2-222222222-2-2-2-222-2-2-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1110000000000000000
χ3622222222-2-2-2-2-2-22222222222-2-2-2-2-2-222-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-10000000000000000
χ37222222-2-222-2-22-22-2222222-2-222-2-22-22-2-1-1-1-1-1-111-1-111-11-11-1-1-1-1-1-111-1-111-11-11-1-1-1-1-1-111-1-111-11-110000000000000000
χ38222222-2-222-2-2-22-22222222-2-222-2-2-22-22-1-1-1-1-1-111-1-1111-11-1-1-1-1-1-1-111-1-1111-11-1-1-1-1-1-1-111-1-1111-11-10000000000000000
χ39222222-2-2-2-2222-2-22222222-2-2-2-2222-2-22-1-1-1-1-1-11111-1-1-111-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-1-1-11111-1-1-111-10000000000000000
χ40222222-2-2-2-222-222-2222222-2-2-2-222-222-2-1-1-1-1-1-11111-1-11-1-11-1-1-1-1-1-11111-1-11-1-11-1-1-1-1-1-11111-1-11-1-110000000000000000
χ414444-4-44-4000000004444-4-44-400000000-2-2-2-222-2200000000-2-2-2-222-2200000000-2-2-2-222-22000000000000000000000000
χ424444-4-4-44000000004444-4-4-4400000000-2-2-2-2222-200000000-2-2-2-2222-200000000-2-2-2-2222-2000000000000000000000000
χ434-4-444-400004-400004-4-444-400004-40000-222-2-220000-220000-222-2-220000-220000-222-2-220000-2200000000000000000000
χ444-4-444-40000-4400004-4-444-40000-440000-222-2-2200002-20000-222-2-2200002-20000-222-2-2200002-200000000000000000000
χ454-4-44-44004-40000004-4-44-44004-4000000-222-22-200-22000000-222-22-200-22000000-222-22-200-220000000000000000000000
χ464-4-44-4400-440000004-4-44-4400-44000000-222-22-2002-2000000-222-22-2002-2000000-222-22-2002-20000000000000000000000
χ4788-8-800000000000088-8-8000000000000-4-444000000000000-4-444000000000000-4-4440000000000000000000000000000
χ488-88-80000000000008-88-8000000000000-44-44000000000000-44-44000000000000-44-440000000000000000000000000000
χ492222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ50000000000000000
χ50222222222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ50000000000000000
χ5122222222-2-2-2-222-2-2-1-1-1-1-1-1-1-11111-1-111ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8ζ+ζ8ζ+ζ8−ζ−ζ8−ζ−ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5ζ4+ζ5ζ4+ζ5−ζ4−ζ5−ζ4−ζ50000000000000000
χ5222222222-2-2-2-2-2-222-1-1-1-1-1-1-1-1111111-1-1ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5ζ4+ζ5ζ4+ζ50000000000000000
χ53222222-2-222-2-22-22-2-1-1-1-1-1-111-1-111-11-11ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8−ζ−ζ8−ζ−ζ8ζ+ζ8ζ+ζ8−ζ−ζ8−ζ−ζ8ζ+ζ8−ζ−ζ8ζ+ζ8−ζ−ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ7−ζ2−ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5−ζ4−ζ5−ζ4−ζ5ζ4+ζ5ζ4+ζ5−ζ4−ζ5−ζ4−ζ5ζ4+ζ5−ζ4−ζ5ζ4+ζ5−ζ4−ζ50000000000000000
χ54222222-2-222-2-2-22-22-1-1-1-1-1-111-1-1111-11-1ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8−ζ−ζ8−ζ−ζ8ζ+ζ8ζ+ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8ζ+ζ8−ζ−ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5−ζ4−ζ5−ζ4−ζ5ζ4+ζ5ζ4+ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5ζ4+ζ5−ζ4−ζ5ζ4+ζ50000000000000000
χ55222222-2-2-2-2222-2-22-1-1-1-1-1-11111-1-1-111-1ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8ζ+ζ8ζ+ζ8ζ+ζ8−ζ−ζ8−ζ−ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5−ζ4−ζ5−ζ4−ζ5ζ4+ζ50000000000000000
χ56222222-2-2-2-222-222-2-1-1-1-1-1-11111-1-11-1-11ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8ζ+ζ8ζ+ζ8−ζ−ζ8ζ+ζ8ζ+ζ8−ζ−ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5ζ4+ζ5ζ4+ζ5−ζ4−ζ5ζ4+ζ5ζ4+ζ5−ζ4−ζ50000000000000000
χ574444-4-44-400000000-2-2-2-222-22000000002ζ+2ζ82ζ+2ζ82ζ+2ζ82ζ+2ζ8−2ζ−2ζ8−2ζ−2ζ82ζ+2ζ8−2ζ−2ζ8000000002ζ2+2ζ72ζ2+2ζ72ζ2+2ζ72ζ2+2ζ7−2ζ2−2ζ7−2ζ2−2ζ72ζ2+2ζ7−2ζ2−2ζ7000000002ζ4+2ζ52ζ4+2ζ52ζ4+2ζ52ζ4+2ζ5−2ζ4−2ζ5−2ζ4−2ζ52ζ4+2ζ5−2ζ4−2ζ5000000000000000000000000
χ584444-4-4-4400000000-2-2-2-2222-2000000002ζ+2ζ82ζ+2ζ82ζ+2ζ82ζ+2ζ8−2ζ−2ζ8−2ζ−2ζ8−2ζ−2ζ82ζ+2ζ8000000002ζ2+2ζ72ζ2+2ζ72ζ2+2ζ72ζ2+2ζ7−2ζ2−2ζ7−2ζ2−2ζ7−2ζ2−2ζ72ζ2+2ζ7000000002ζ4+2ζ52ζ4+2ζ52ζ4+2ζ52ζ4+2ζ5−2ζ4−2ζ5−2ζ4−2ζ5−2ζ4−2ζ52ζ4+2ζ5000000000000000000000000
χ594-4-444-400004-40000-222-2-220000-2200002ζ+2ζ8−2ζ−2ζ8−2ζ−2ζ82ζ+2ζ82ζ+2ζ8−2ζ−2ζ800002ζ+2ζ8−2ζ−2ζ800002ζ2+2ζ7−2ζ2−2ζ7−2ζ2−2ζ72ζ2+2ζ72ζ2+2ζ7−2ζ2−2ζ700002ζ2+2ζ7−2ζ2−2ζ700002ζ4+2ζ5−2ζ4−2ζ5−2ζ4−2ζ52ζ4+2ζ52ζ4+2ζ5−2ζ4−2ζ500002ζ4+2ζ5−2ζ4−2ζ500000000000000000000
χ604-4-444-40000-440000-222-2-2200002-200002ζ+2ζ8−2ζ−2ζ8−2ζ−2ζ82ζ+2ζ82ζ+2ζ8−2ζ−2ζ80000−2ζ−2ζ82ζ+2ζ800002ζ2+2ζ7−2ζ2−2ζ7−2ζ2−2ζ72ζ2+2ζ72ζ2+2ζ7−2ζ2−2ζ70000−2ζ2−2ζ72ζ2+2ζ700002ζ4+2ζ5−2ζ4−2ζ5−2ζ4−2ζ52ζ4+2ζ52ζ4+2ζ5−2ζ4−2ζ50000−2ζ4−2ζ52ζ4+2ζ500000000000000000000
χ614-4-44-44004-4000000-222-22-200-220000002ζ+2ζ8−2ζ−2ζ8−2ζ−2ζ82ζ+2ζ8−2ζ−2ζ82ζ+2ζ8002ζ+2ζ8−2ζ−2ζ80000002ζ2+2ζ7−2ζ2−2ζ7−2ζ2−2ζ72ζ2+2ζ7−2ζ2−2ζ72ζ2+2ζ7002ζ2+2ζ7−2ζ2−2ζ70000002ζ4+2ζ5−2ζ4−2ζ5−2ζ4−2ζ52ζ4+2ζ5−2ζ4−2ζ52ζ4+2ζ5002ζ4+2ζ5−2ζ4−2ζ50000000000000000000000
χ624-4-44-4400-44000000-222-22-2002-20000002ζ+2ζ8−2ζ−2ζ8−2ζ−2ζ82ζ+2ζ8−2ζ−2ζ82ζ+2ζ800−2ζ−2ζ82ζ+2ζ80000002ζ2+2ζ7−2ζ2−2ζ7−2ζ2−2ζ72ζ2+2ζ7−2ζ2−2ζ72ζ2+2ζ700−2ζ2−2ζ72ζ2+2ζ70000002ζ4+2ζ5−2ζ4−2ζ5−2ζ4−2ζ52ζ4+2ζ5−2ζ4−2ζ52ζ4+2ζ500−2ζ4−2ζ52ζ4+2ζ50000000000000000000000
χ6388-8-8000000000000-4-4440000000000004ζ+4ζ84ζ+4ζ8−4ζ−4ζ8−4ζ−4ζ80000000000004ζ2+4ζ74ζ2+4ζ7−4ζ2−4ζ7−4ζ2−4ζ70000000000004ζ4+4ζ54ζ4+4ζ5−4ζ4−4ζ5−4ζ4−4ζ50000000000000000000000000000
χ648-88-8000000000000-44-440000000000004ζ+4ζ8−4ζ−4ζ84ζ+4ζ8−4ζ−4ζ80000000000004ζ2+4ζ7−4ζ2−4ζ74ζ2+4ζ7−4ζ2−4ζ70000000000004ζ4+4ζ5−4ζ4−4ζ54ζ4+4ζ5−4ζ4−4ζ50000000000000000000000000000
χ652222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ80000000000000000
χ66222222222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ80000000000000000
χ6722222222-2-2-2-222-2-2-1-1-1-1-1-1-1-11111-1-111ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5ζ4+ζ5ζ4+ζ5−ζ4−ζ5−ζ4−ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8ζ+ζ8ζ+ζ8−ζ−ζ8−ζ−ζ80000000000000000
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χ968-88-8000000000000-44-440000000000004ζ4+4ζ5−4ζ4−4ζ54ζ4+4ζ5−4ζ4−4ζ50000000000004ζ+4ζ8−4ζ−4ζ84ζ+4ζ8−4ζ−4ζ80000000000004ζ2+4ζ7−4ζ2−4ζ74ζ2+4ζ7−4ζ2−4ζ70000000000000000000000000000

Here ζ is a primitive root of unity of order 9 (ζ9 = 1).