Finite Group Databasebeta

← Group #72245740

Character table — Group #72245740

Order 3456.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size112222266668888888888888888888888881212121218183232323232323232323232323232323232323232323232323636484848484848484848484848216216216216216216216216
order1223666444499999918181818181818181818181818181818181812121212223336666666669991818181818181818186636363636363636363636363624448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311-11-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-11-1111111-1-1-1-1-1-11-11-111-1-1
χ411-11-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-11-1111111-1-1-1-1-1-1-11-11-1-111
χ522222222222222-1-1-1222222-1-1-1-1-1-1222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1222-1-1-100000000
χ622222222222-1-1-1222-1-1-1-1-1-1222222-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1222-1-1-122200000000
χ722222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000
χ822222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ9222-1-1-1-12222ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5-1-1-1-1222-1-12-1-122-1-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ500000000
χ10222-1-1-1-12222ζ+ζ8ζ2+ζ7ζ4+ζ5ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ2+ζ7ζ4+ζ5ζ+ζ8-1-1-1-122-12-1-12-1-1-122-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ2+ζ7ζ4+ζ5ζ+ζ800000000
χ11222-1-1-1-12222ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7-1-1-1-122-1-12-1-12-1-1-1-122ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ700000000
χ12222-1-1-1-12222ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5-1-1-1-122-1-12-1-12-1-1-1-122ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ500000000
χ13222-1-1-1-12222ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8-1-1-1-1222-1-12-1-122-1-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ800000000
χ14222-1-1-1-12222ζ2+ζ7ζ4+ζ5ζ+ζ8ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ4+ζ5ζ+ζ8ζ2+ζ7-1-1-1-122-12-1-12-1-1-122-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ4+ζ5ζ+ζ8ζ2+ζ700000000
χ15222-1-1-1-12222ζ4+ζ5ζ+ζ8ζ2+ζ7ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ+ζ8ζ2+ζ7ζ4+ζ5-1-1-1-122-12-1-12-1-1-122-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ+ζ8ζ2+ζ7ζ4+ζ500000000
χ16222-1-1-1-12222ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8-1-1-1-122-1-12-1-12-1-1-1-122ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ800000000
χ17222-1-1-1-12222ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7-1-1-1-1222-1-12-1-122-1-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ700000000
χ1822-22-2-22-2-222222-1-1-1-2-2-2-2-2-2111111222-1-1-122-2-2-22-1-1-1-1-1-1111111-1-1-1-1-1-11111112-2222-1-1-1-2-2-211100000000
χ1922-22-2-22-2-222-1-1-1222111111-2-2-2-2-2-2-1-1-122222-2-2-22-1-1-1-1-1-1111111-1-1-1-1-1-11111112-2-1-1-1222111-2-2-200000000
χ2022-22-2-22-2-222-1-1-1-1-1-1111111111111-1-1-1-1-1-122-2-2-22222222-2-2-2-2-2-2-1-1-1-1-1-11111112-2-1-1-1-1-1-111111100000000
χ2122-22-2-22-2-222-1-1-1-1-1-1111111111111-1-1-1-1-1-122-2-2-22-1-1-1-1-1-1111111222222-2-2-2-2-2-22-2-1-1-1-1-1-111111100000000
χ2222-2-111-1-2-222ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5-1-111-222-1-12-1-1-2-21111ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5-11ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ500000000
χ2322-2-111-1-2-222ζ+ζ8ζ2+ζ7ζ4+ζ5ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ2+ζ7ζ4+ζ5ζ+ζ8-1-111-22-12-1-12-111-2-211ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7-11ζ+ζ8ζ2+ζ7ζ4+ζ5ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ2−ζ7−ζ4−ζ5−ζ−ζ800000000
χ2422-2-111-1-2-222ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7-1-111-22-1-12-1-121111-2-2ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8-11ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ2−ζ700000000
χ2522-2-111-1-2-222ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5-1-111-22-1-12-1-121111-2-2ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7-11ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ4−ζ500000000
χ2622-2-111-1-2-222ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8-1-111-222-1-12-1-1-2-21111ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8-11ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ800000000
χ2722-2-111-1-2-222ζ2+ζ7ζ4+ζ5ζ+ζ8ζ4+ζ5ζ+ζ8ζ2+ζ7−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ4+ζ5ζ+ζ8ζ2+ζ7-1-111-22-12-1-12-111-2-211ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5-11ζ2+ζ7ζ4+ζ5ζ+ζ8ζ4+ζ5ζ+ζ8ζ2+ζ7−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ4−ζ5−ζ−ζ8−ζ2−ζ700000000
χ2822-2-111-1-2-222ζ4+ζ5ζ+ζ8ζ2+ζ7ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ+ζ8ζ2+ζ7ζ4+ζ5-1-111-22-12-1-12-111-2-211ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8-11ζ4+ζ5ζ+ζ8ζ2+ζ7ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ−ζ8−ζ2−ζ7−ζ4−ζ500000000
χ2922-2-111-1-2-222ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8-1-111-22-1-12-1-121111-2-2ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5-11ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ−ζ800000000
χ3022-2-111-1-2-222ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7-1-111-222-1-12-1-1-2-21111ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7-11ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ700000000
χ3133333333-13-10003330000003333330003333-13-1-1-1000000000000000000000000-1-1000-1-1-1000-1-1-111-1-11-11-1
χ3233333333-13-10003330000003333330003333-13-1-1-1000000000000000000000000-1-1000-1-1-1000-1-1-1-1-111-11-11
χ333333333-13-13333000333333000000333000-13-13-1-1000000000000000000000000-1-1-1-1-1000-1-1-100011-1-1-11-11
χ343333333-13-13333000333333000000333000-13-13-1-1000000000000000000000000-1-1-1-1-1000-1-1-1000-1-1111-11-1
χ3533-33-3-331-3-13333000-3-3-3-3-3-3000000333000-131-31-1000000000000000000000000-11-1-1-10001110001-1-11-111-1
χ3633-33-3-331-3-13333000-3-3-3-3-3-3000000333000-131-31-1000000000000000000000000-11-1-1-1000111000-111-11-1-11
χ3733-33-3-33-313-1000333000000-3-3-3-3-3-30003333-1-311-1000000000000000000000000-11000-1-1-10001111-1-111-1-11
χ3833-33-3-33-313-1000333000000-3-3-3-3-3-30003333-1-311-1000000000000000000000000-11000-1-1-1000111-111-1-111-1
χ3966666666-26-2000-3-3-3000000-3-3-3-3-3-3000-3-3-36-26-2-2-2000000000000000000000000-2-200011100011100000000
χ406666666-26-26-3-3-3000-3-3-3-3-3-3000000-3-3-3000-26-26-2-2000000000000000000000000-2-211100011100000000000
χ41666-3-3-3-36-26-20003ζ+3ζ83ζ2+3ζ73ζ4+3ζ50000003ζ+3ζ83ζ+3ζ83ζ2+3ζ73ζ2+3ζ73ζ4+3ζ53ζ4+3ζ50003ζ+3ζ83ζ2+3ζ73ζ4+3ζ5-31-31-2-200000000000000000000000011000−ζ−ζ8−ζ2−ζ7−ζ4−ζ5000−ζ−ζ8−ζ2−ζ7−ζ4−ζ500000000
χ42666-3-3-3-36-26-20003ζ2+3ζ73ζ4+3ζ53ζ+3ζ80000003ζ2+3ζ73ζ2+3ζ73ζ4+3ζ53ζ4+3ζ53ζ+3ζ83ζ+3ζ80003ζ2+3ζ73ζ4+3ζ53ζ+3ζ8-31-31-2-200000000000000000000000011000−ζ2−ζ7−ζ4−ζ5−ζ−ζ8000−ζ2−ζ7−ζ4−ζ5−ζ−ζ800000000
χ43666-3-3-3-36-26-20003ζ4+3ζ53ζ+3ζ83ζ2+3ζ70000003ζ4+3ζ53ζ4+3ζ53ζ+3ζ83ζ+3ζ83ζ2+3ζ73ζ2+3ζ70003ζ4+3ζ53ζ+3ζ83ζ2+3ζ7-31-31-2-200000000000000000000000011000−ζ4−ζ5−ζ−ζ8−ζ2−ζ7000−ζ4−ζ5−ζ−ζ8−ζ2−ζ700000000
χ44666-3-3-3-3-26-263ζ+3ζ83ζ2+3ζ73ζ4+3ζ50003ζ+3ζ83ζ+3ζ83ζ2+3ζ73ζ2+3ζ73ζ4+3ζ53ζ4+3ζ50000003ζ+3ζ83ζ2+3ζ73ζ4+3ζ50001-31-3-2-200000000000000000000000011−ζ−ζ8−ζ2−ζ7−ζ4−ζ5000−ζ−ζ8−ζ2−ζ7−ζ4−ζ500000000000
χ45666-3-3-3-3-26-263ζ2+3ζ73ζ4+3ζ53ζ+3ζ80003ζ2+3ζ73ζ2+3ζ73ζ4+3ζ53ζ4+3ζ53ζ+3ζ83ζ+3ζ80000003ζ2+3ζ73ζ4+3ζ53ζ+3ζ80001-31-3-2-200000000000000000000000011−ζ2−ζ7−ζ4−ζ5−ζ−ζ8000−ζ2−ζ7−ζ4−ζ5−ζ−ζ800000000000
χ46666-3-3-3-3-26-263ζ4+3ζ53ζ+3ζ83ζ2+3ζ70003ζ4+3ζ53ζ4+3ζ53ζ+3ζ83ζ+3ζ83ζ2+3ζ73ζ2+3ζ70000003ζ4+3ζ53ζ+3ζ83ζ2+3ζ70001-31-3-2-200000000000000000000000011−ζ4−ζ5−ζ−ζ8−ζ2−ζ7000−ζ4−ζ5−ζ−ζ8−ζ2−ζ700000000000
χ4766-66-6-662-6-26-3-3-3000333333000000-3-3-3000-262-62-2000000000000000000000000-22111000-1-1-100000000000
χ4866-66-6-66-626-2000-3-3-3000000333333000-3-3-36-2-622-2000000000000000000000000-22000111000-1-1-100000000
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Here ζ is a primitive root of unity of order 9 (ζ9 = 1); i = ζ2.