Finite Group Databasebeta

← Group #13164153

Character table — Group #13164153

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size112222222223344446666666668812121212121212121616161616161616161616161616161616181824242424242424242424242424242424545454545454108108144144
order1223699918181822618181826618181818181836244461818183666699918181818181818181824612121218181836363636363636363622244424612
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-111
χ41111111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1
χ511-11111111111-1-1-1-1-111111111111-1-11-1-1-1-11-11-1-1111111-1-1-1-1-1-11-11-11-1111-1-1-1111-1-1-1111-111-1-11-1
χ611-11111111111-1-1-1-1-111111111111-1-11-1-1-1-11-11-1-1111111-1-1-1-1-1-1-111-11-1111-1-1-1111-1-1-1-1-1-11-1-111-11
χ711-11111111111-1-1-1-1-11111111111-111-1-1-1-1-11-11-1-1111111-1-1-1-1-1-11-1-11-11-1-1-1111-1-1-11111-1-1-1-1-1111-1
χ811-11111111111-1-1-1-1-11111111111-111-1-1-1-1-11-11-1-1111111-1-1-1-1-1-1-11-11-11-1-1-1111-1-1-1111-111111-1-1-11
χ922222222222222222222222222-1-100002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122000000000000000020020000-1-1
χ1022222222222222222222222222-1-100002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20000000000000000-200-2000011
χ1122222-1-1-1-1-1-1222-1-1-1222-1-1-1-1-1-12222222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1002222-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ1222222-1-1-1-1-1-1222-1-1-1222-1-1-1-1-1-122-2-2-2-22-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-21111111111110000000000
χ13222-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ522-1ζ+ζ8ζ2+ζ7ζ4+ζ52-1-1ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5222222-1ζ+ζ8ζ2+ζ7ζ4+ζ5-12-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ500-1-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ50000000000
χ14222-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ522-1ζ+ζ8ζ2+ζ7ζ4+ζ52-1-1ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ522-2-2-2-2-1ζ+ζ8ζ2+ζ7ζ4+ζ5-12-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5001111−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ50000000000
χ15222-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ822-1ζ2+ζ7ζ4+ζ5ζ+ζ82-1-1ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8222222-1ζ2+ζ7ζ4+ζ5ζ+ζ8-12-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ800-1-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ80000000000
χ16222-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ822-1ζ2+ζ7ζ4+ζ5ζ+ζ82-1-1ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ822-2-2-2-2-1ζ2+ζ7ζ4+ζ5ζ+ζ8-12-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8001111−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ80000000000
χ17222-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ722-1ζ4+ζ5ζ+ζ8ζ2+ζ72-1-1ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7222222-1ζ4+ζ5ζ+ζ8ζ2+ζ7-12-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ700-1-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ70000000000
χ18222-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ722-1ζ4+ζ5ζ+ζ8ζ2+ζ72-1-1ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ722-2-2-2-2-1ζ4+ζ5ζ+ζ8ζ2+ζ7-12-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7001111−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ70000000000
χ1922-22222222222-2-2-2-2-222222222-1-10000-2-2-2-2-11-111-1-1-1-1-1-11111112-20000000000000000200-20000-11
χ2022-22222222222-2-2-2-2-222222222-1-10000-2-2-2-2-11-111-1-1-1-1-1-1111111-220000000000000000-200200001-1
χ2122-222-1-1-1-1-1-122-2111-222-1-1-1-1-1-1222-2-22-21112-22-2-2-1-1-1-1-1-1111111002-22-2-1-1-1111-1-1-11110000000000
χ2222-222-1-1-1-1-1-122-2111-222-1-1-1-1-1-122-222-2-21112-22-2-2-1-1-1-1-1-111111100-22-22111-1-1-1111-1-1-10000000000
χ2322-2-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5221−ζ−ζ8−ζ2−ζ7−ζ4−ζ5-2-1-1ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5222-2-221−ζ−ζ8−ζ2−ζ7−ζ4−ζ5-1-2-111ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ500-11-11ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ50000000000
χ2422-2-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5221−ζ−ζ8−ζ2−ζ7−ζ4−ζ5-2-1-1ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ522-222-21−ζ−ζ8−ζ2−ζ7−ζ4−ζ5-1-2-111ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5001-11-1−ζ−ζ8−ζ2−ζ7−ζ4−ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5ζ+ζ8ζ2+ζ7ζ4+ζ50000000000
χ2522-2-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8221−ζ2−ζ7−ζ4−ζ5−ζ−ζ8-2-1-1ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8222-2-221−ζ2−ζ7−ζ4−ζ5−ζ−ζ8-1-2-111ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ800-11-11ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ80000000000
χ2622-2-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8221−ζ2−ζ7−ζ4−ζ5−ζ−ζ8-2-1-1ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ822-222-21−ζ2−ζ7−ζ4−ζ5−ζ−ζ8-1-2-111ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8001-11-1−ζ2−ζ7−ζ4−ζ5−ζ−ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8ζ2+ζ7ζ4+ζ5ζ+ζ80000000000
χ2722-2-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7221−ζ4−ζ5−ζ−ζ8−ζ2−ζ7-2-1-1ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7222-2-221−ζ4−ζ5−ζ−ζ8−ζ2−ζ7-1-2-111ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ700-11-11ζ4+ζ5ζ+ζ8ζ2+ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ70000000000
χ2822-2-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7221−ζ4−ζ5−ζ−ζ8−ζ2−ζ7-2-1-1ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ722-222-21−ζ4−ζ5−ζ−ζ8−ζ2−ζ7-1-2-111ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7001-11-1−ζ4−ζ5−ζ−ζ8−ζ2−ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7ζ4+ζ5ζ+ζ8ζ2+ζ70000000000
χ292-202-2222-2-2-2-22000002-22-22-22-22-20000000020-200222-2-2-200000000000000000000000002-202-20000
χ302-202-2222-2-2-2-22000002-22-22-22-22-20000000020-200222-2-2-20000000000000000000000000-220-220000
χ3133333333333-1-13333-1-1-1-1-1-1-1-1-10011-1-1-1-1-1-1000000000000000003311-1-1111111-1-1-1-1-1-1-111-1-1-11-100
χ3233333333333-1-13333-1-1-1-1-1-1-1-1-10011-1-1-1-1-1-100000000000000000-3-311-1-1111111-1-1-1-1-1-11-1-1111-1100
χ3333333333333-1-13333-1-1-1-1-1-1-1-1-100-1-111-1-1-1-10000000000000000033-1-111-1-1-1-1-1-1111111-1-1-1-111-1100
χ3433333333333-1-13333-1-1-1-1-1-1-1-1-100-1-111-1-1-1-100000000000000000-3-3-1-111-1-1-1-1-1-11111111111-1-11-100
χ3533-333333333-1-1-3-3-3-31-1-1-1-1-1-1-1-1001-11-11111000000000000000003-31-1-11111-1-1-1-1-1-1111-1111-1-1-1100
χ3633-333333333-1-1-3-3-3-31-1-1-1-1-1-1-1-1001-11-1111100000000000000000-331-1-11111-1-1-1-1-1-11111-1-1-1111-100
χ3733-333333333-1-1-3-3-3-31-1-1-1-1-1-1-1-100-11-111111000000000000000003-3-111-1-1-1-1111111-1-1-1-1-1-11111-100
χ3833-333333333-1-1-3-3-3-31-1-1-1-1-1-1-1-100-11-11111100000000000000000-33-111-1-1-1-1111111-1-1-1111-1-1-1-1100
χ3944444-2-2-2-2-2-2444-2-2-2444-2-2-2-2-2-2-2-200004-2-2-2-2-2-2-2-21111111111110000000000000000000000000000
χ40444-2-22ζ+2ζ82ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ4+2ζ544-22ζ+2ζ82ζ2+2ζ72ζ4+2ζ54-2-22ζ+2ζ82ζ+2ζ82ζ2+2ζ72ζ2+2ζ72ζ4+2ζ52ζ4+2ζ5-2-20000-22ζ+2ζ82ζ2+2ζ72ζ4+2ζ51-2111−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ50000000000000000000000000000
χ41444-2-22ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ4+2ζ52ζ+2ζ844-22ζ2+2ζ72ζ4+2ζ52ζ+2ζ84-2-22ζ2+2ζ72ζ2+2ζ72ζ4+2ζ52ζ4+2ζ52ζ+2ζ82ζ+2ζ8-2-20000-22ζ2+2ζ72ζ4+2ζ52ζ+2ζ81-2111−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ80000000000000000000000000000
χ42444-2-22ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ2+2ζ744-22ζ4+2ζ52ζ+2ζ82ζ2+2ζ74-2-22ζ4+2ζ52ζ4+2ζ52ζ+2ζ82ζ+2ζ82ζ2+2ζ72ζ2+2ζ7-2-20000-22ζ4+2ζ52ζ+2ζ82ζ2+2ζ71-2111−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ70000000000000000000000000000
χ4344-444-2-2-2-2-2-244-4222-444-2-2-2-2-2-2-2-20000-4222-22-222111111-1-1-1-1-1-10000000000000000000000000000
χ4444-4-2-22ζ+2ζ82ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ4+2ζ5442−2ζ−2ζ8−2ζ2−2ζ7−2ζ4−2ζ5-4-2-22ζ+2ζ82ζ+2ζ82ζ2+2ζ72ζ2+2ζ72ζ4+2ζ52ζ4+2ζ5-2-200002−2ζ−2ζ8−2ζ2−2ζ7−2ζ4−2ζ5121-1-1−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ50000000000000000000000000000
χ4544-4-2-22ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ4+2ζ52ζ+2ζ8442−2ζ2−2ζ7−2ζ4−2ζ5−2ζ−2ζ8-4-2-22ζ2+2ζ72ζ2+2ζ72ζ4+2ζ52ζ4+2ζ52ζ+2ζ82ζ+2ζ8-2-200002−2ζ2−2ζ7−2ζ4−2ζ5−2ζ−2ζ8121-1-1−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ80000000000000000000000000000
χ4644-4-2-22ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ2+2ζ7442−2ζ4−2ζ5−2ζ−2ζ8−2ζ2−2ζ7-4-2-22ζ4+2ζ52ζ4+2ζ52ζ+2ζ82ζ+2ζ82ζ2+2ζ72ζ2+2ζ7-2-200002−2ζ4−2ζ5−2ζ−2ζ8−2ζ2−2ζ7121-1-1−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ70000000000000000000000000000
χ474-404-4444-4-4-4-44000004-44-44-44-4-2200000000-20200-2-2-22220000000000000000000000000000000000
χ484-404-4-2-2-2222-44000004-4-22-22-224-40000000040-400-2-2-22220000000000000000000000000000000000
χ494-404-4-2-2-2222-44000004-4-22-22-22-2200000000-20200111-1-1-13-33-33-30000000000000000000000000000
χ504-404-4-2-2-2222-44000004-4-22-22-22-2200000000-20200111-1-1-1-33-33-330000000000000000000000000000
χ514-40-222ζ+2ζ82ζ2+2ζ72ζ4+2ζ5−2ζ−2ζ8−2ζ2−2ζ7−2ζ4−2ζ5-4400000-222ζ+2ζ8−2ζ−2ζ82ζ2+2ζ7−2ζ2−2ζ72ζ4+2ζ5−2ζ4−2ζ54-400000000-202002ζ+2ζ82ζ2+2ζ72ζ4+2ζ5−2ζ−2ζ8−2ζ2−2ζ7−2ζ4−2ζ50000000000000000000000000000000000
χ524-40-222ζ+2ζ82ζ2+2ζ72ζ4+2ζ5−2ζ−2ζ8−2ζ2−2ζ7−2ζ4−2ζ5-4400000-222ζ+2ζ8−2ζ−2ζ82ζ2+2ζ7−2ζ2−2ζ72ζ4+2ζ5−2ζ4−2ζ5-220000000010-13-3−ζ−ζ8−ζ2−ζ7−ζ4−ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ−ζ2+2ζ4+ζ5−ζ+ζ2−2ζ4−ζ5ζ−ζ2−ζ4−2ζ5−ζ+ζ2+ζ4+2ζ5−2ζ+2ζ2−ζ4+ζ52ζ−2ζ2+ζ4−ζ50000000000000000000000000000
χ534-40-222ζ+2ζ82ζ2+2ζ72ζ4+2ζ5−2ζ−2ζ8−2ζ2−2ζ7−2ζ4−2ζ5-4400000-222ζ+2ζ8−2ζ−2ζ82ζ2+2ζ7−2ζ2−2ζ72ζ4+2ζ5−2ζ4−2ζ5-220000000010-1-33−ζ−ζ8−ζ2−ζ7−ζ4−ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ+ζ2−2ζ4−ζ5ζ−ζ2+2ζ4+ζ5−ζ+ζ2+ζ4+2ζ5ζ−ζ2−ζ4−2ζ52ζ−2ζ2+ζ4−ζ5−2ζ+2ζ2−ζ4+ζ50000000000000000000000000000
χ544-40-222ζ2+2ζ72ζ4+2ζ52ζ+2ζ8−2ζ2−2ζ7−2ζ4−2ζ5−2ζ−2ζ8-4400000-222ζ2+2ζ7−2ζ2−2ζ72ζ4+2ζ5−2ζ4−2ζ52ζ+2ζ8−2ζ−2ζ84-400000000-202002ζ2+2ζ72ζ4+2ζ52ζ+2ζ8−2ζ2−2ζ7−2ζ4−2ζ5−2ζ−2ζ80000000000000000000000000000000000
χ554-40-222ζ2+2ζ72ζ4+2ζ52ζ+2ζ8−2ζ2−2ζ7−2ζ4−2ζ5−2ζ−2ζ8-4400000-222ζ2+2ζ7−2ζ2−2ζ72ζ4+2ζ5−2ζ4−2ζ52ζ+2ζ8−2ζ−2ζ8-220000000010-13-3−ζ2−ζ7−ζ4−ζ5−ζ−ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ−ζ2−ζ4−2ζ5−ζ+ζ2+ζ4+2ζ5−2ζ+2ζ2−ζ4+ζ52ζ−2ζ2+ζ4−ζ5ζ−ζ2+2ζ4+ζ5−ζ+ζ2−2ζ4−ζ50000000000000000000000000000
χ564-40-222ζ2+2ζ72ζ4+2ζ52ζ+2ζ8−2ζ2−2ζ7−2ζ4−2ζ5−2ζ−2ζ8-4400000-222ζ2+2ζ7−2ζ2−2ζ72ζ4+2ζ5−2ζ4−2ζ52ζ+2ζ8−2ζ−2ζ8-220000000010-1-33−ζ2−ζ7−ζ4−ζ5−ζ−ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ+ζ2+ζ4+2ζ5ζ−ζ2−ζ4−2ζ52ζ−2ζ2+ζ4−ζ5−2ζ+2ζ2−ζ4+ζ5−ζ+ζ2−2ζ4−ζ5ζ−ζ2+2ζ4+ζ50000000000000000000000000000
χ574-40-222ζ4+2ζ52ζ+2ζ82ζ2+2ζ7−2ζ4−2ζ5−2ζ−2ζ8−2ζ2−2ζ7-4400000-222ζ4+2ζ5−2ζ4−2ζ52ζ+2ζ8−2ζ−2ζ82ζ2+2ζ7−2ζ2−2ζ74-400000000-202002ζ4+2ζ52ζ+2ζ82ζ2+2ζ7−2ζ4−2ζ5−2ζ−2ζ8−2ζ2−2ζ70000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 9 (ζ9 = 1).