Finite Group Databasebeta

← Group #13140511

Character table — Group #13140511

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size1122222222222224444444444444444444444444444444888888888888888888888888888888888881212242424242424242424242424242424242436367272727272108108108108
order122334466999181818366666999121212121818181818181818181818183636363636362666666661212181818181818181818181818181818181818363636363636246812181818242436363672727272727224681224242244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11111-1-1111-1-1-1-1-1-1111-11-1-111-1-1
χ61111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11111-1-1111-1-1-1-1-1-1-1-1-11-111-1-111
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11-1-1-1-111-1-1-1111111111-11-1-1-1-111
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11-1-1-1-111-1-1-1111111-1-1-11-11111-1-1
χ9222222222-1-1-1-1-1-1222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-122-1-1-1-1-1-1-1-1-100000000000
χ10222222222-1-1-1-1-1-1222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2111-2-211111111100000000000
χ11222222222-1-1-1-1-1-1222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-222111111111111111111-1-1-1-1-1-1222-22-1-1-1-2-2-1-1-111111100000000000
χ12222222222-1-1-1-1-1-1222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-222111111111111111111-1-1-1-1-1-1-2-2-22-211122111-1-1-1-1-1-100000000000
χ1322222-2-222222222222222222-2-2-2-2222222222222-2-2-2-2-2-2000000000-2-2000000000000000000-2-2-2-2-2-2000000000000000000000000002-200
χ1422222-2-222222222222222222-2-2-2-2222222222222-2-2-2-2-2-2000000000-2-2000000000000000000-2-2-2-2-2-200000000000000000000000000-2200
χ152222-1222-1222222-12-1-1-1-1-1-1-12-12-1222-1-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000022-12-1-1-10000
χ162222-1222-1222222-12-1-1-1-1-1-1-12-12-1222-1-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000-2-21-21110000
χ172222-1222-1222222-12-1-1-1-1-1-1-12-12-1222-1-1-1-1-1-1-1-1-1222222-2-2-2111111-1-1-2-2-2-2-2-2111111111111-1-1-1-1-1-1000000000000000000022-1-2-1110000
χ182222-1222-1222222-12-1-1-1-1-1-1-12-12-1222-1-1-1-1-1-1-1-1-1222222-2-2-2111111-1-1-2-2-2-2-2-2111111111111-1-1-1-1-1-10000000000000000000-2-2121-1-10000
χ19222-1222-12ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5-1-12-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5-12-12ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ52-1-122-1-1-1-1-1-1ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ522-12-1ζ+ζ8ζ2+ζ7ζ4+ζ5-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ500000000000
χ20222-1222-12ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5-1-12-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5-12-12ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ52-1-122-1-1-1-1-1-1ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5-2-21-21−ζ−ζ8−ζ2−ζ7−ζ4−ζ511−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ500000000000
χ21222-1222-12ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5-1-12-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5-12-12ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5-211-2-21111-1-1−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ522-1-2-1ζ+ζ8ζ2+ζ7ζ4+ζ511ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ500000000000
χ22222-1222-12ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5-1-12-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5-12-12ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5-211-2-21111-1-1−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5-2-2121−ζ−ζ8−ζ2−ζ7−ζ4−ζ5-1-1−ζ−ζ8−ζ2−ζ7−ζ4−ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ500000000000
χ23222-1222-12ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8-1-12-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8-12-12ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ82-1-122-1-1-1-1-1-1ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ822-12-1ζ2+ζ7ζ4+ζ5ζ+ζ8-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ800000000000
χ24222-1222-12ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8-1-12-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8-12-12ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ82-1-122-1-1-1-1-1-1ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8-2-21-21−ζ2−ζ7−ζ4−ζ5−ζ−ζ811−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ800000000000
χ25222-1222-12ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8-1-12-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8-12-12ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8-211-2-21111-1-1−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ822-1-2-1ζ2+ζ7ζ4+ζ5ζ+ζ811ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ800000000000
χ26222-1222-12ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8-1-12-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8-12-12ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8-211-2-21111-1-1−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8-2-2121−ζ2−ζ7−ζ4−ζ5−ζ−ζ8-1-1−ζ2−ζ7−ζ4−ζ5−ζ−ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ800000000000
χ27222-1222-12ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7-1-12-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7-12-12ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ72-1-122-1-1-1-1-1-1ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ722-12-1ζ4+ζ5ζ+ζ8ζ2+ζ7-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ700000000000
χ28222-1222-12ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7-1-12-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7-12-12ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ72-1-122-1-1-1-1-1-1ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7-2-21-21−ζ4−ζ5−ζ−ζ8−ζ2−ζ711−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ700000000000
χ29222-1222-12ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7-1-12-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7-12-12ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7-211-2-21111-1-1−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ722-1-2-1ζ4+ζ5ζ+ζ8ζ2+ζ711ζ4+ζ5ζ+ζ8ζ2+ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ700000000000
χ30222-1222-12ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7-1-12-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7-12-12ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7-211-2-21111-1-1−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7-2-2121−ζ4−ζ5−ζ−ζ8−ζ2−ζ7-1-1−ζ4−ζ5−ζ−ζ8−ζ2−ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ700000000000
χ3122-2222-2222222222-2-2-2-22222-222-2-2-2-2-2-2-2-2-2-2222-2-2-22220000000002-20000000000000000002-22-22-22-220-222200-2-2-200000000000000000
χ3222-2222-2222222222-2-2-2-22222-222-2-2-2-2-2-2-2-2-2-2222-2-2-22220000000002-20000000000000000002-22-22-2-22-202-2-2-20022200000000000000000
χ3322-2222-222-1-1-1-1-1-12-2-2-2-22-1-1-1-222-2111111111-1-1-1111-1-1-10000000002-2i3−i3i3−i3i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3-11-11-112-220-2-1-1-100111i3−i3i3−i3i3−i300000000000
χ3422-2222-222-1-1-1-1-1-12-2-2-2-22-1-1-1-222-2111111111-1-1-1111-1-1-10000000002-2i3−i3i3−i3i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3-11-11-11-22-20211100-1-1-1−i3i3−i3i3−i3i300000000000
χ3522-2222-222-1-1-1-1-1-12-2-2-2-22-1-1-1-222-2111111111-1-1-1111-1-1-10000000002-2−i3i3−i3i3−i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3-11-11-112-220-2-1-1-100111−i3i3−i3i3−i3i300000000000
χ3622-2222-222-1-1-1-1-1-12-2-2-2-22-1-1-1-222-2111111111-1-1-1111-1-1-10000000002-2−i3i3−i3i3−i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3-11-11-11-22-20211100-1-1-1i3−i3i3−i3i3−i300000000000
χ3722-222-22222222222-2-2-2-222222-2-22-2-2-2-2-2-2-2-2-2222222-2-2-2000000000-22000000000000000000-22-22-2200000000000000000002-220-2000000
χ3822-222-22222222222-2-2-2-222222-2-22-2-2-2-2-2-2-2-2-2222222-2-2-2000000000-22000000000000000000-22-22-220000000000000000000-22-202000000
χ3922-22-1-222-1222222-1-2111-1-1-1-121-2-1-2-2-2111111-1-1-1222-2-2-2000i3−i3i3i3−i3−i31-1000000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i31-11-11-100000000000000000002-2-101i3−i30000
χ4022-22-1-222-1222222-1-2111-1-1-1-121-2-1-2-2-2111111-1-1-1222-2-2-2000i3−i3i3i3−i3−i31-1000000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i31-11-11-10000000000000000000-2210-1−i3i30000
χ4122-22-1-222-1222222-1-2111-1-1-1-121-2-1-2-2-2111111-1-1-1222-2-2-2000−i3i3−i3−i3i3i31-1000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i31-11-11-100000000000000000002-2-101−i3i30000
χ4222-22-1-222-1222222-1-2111-1-1-1-121-2-1-2-2-2111111-1-1-1222-2-2-2000−i3i3−i3−i3i3i31-1000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i31-11-11-10000000000000000000-2210-1i3−i30000
χ4322-2-122-2-12ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5-11-211-1ζ+ζ8ζ2+ζ7ζ4+ζ512-1-2−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5ζ+ζ8ζ2+ζ7ζ4+ζ50i3−i300i3−i3i3−i3-11ζ−ζ8−ζ+ζ8−ζ2+ζ7ζ2−ζ7ζ4−ζ5−ζ4+ζ5ζ−ζ8ζ−ζ8−ζ+ζ8−ζ+ζ8−ζ2+ζ7−ζ2+ζ7ζ2−ζ7ζ2−ζ7ζ4−ζ5ζ4−ζ5−ζ4+ζ5−ζ4+ζ5ζ+ζ8−ζ−ζ8ζ2+ζ7−ζ2−ζ7ζ4+ζ5−ζ4−ζ52-2-101ζ+ζ8ζ2+ζ7ζ4+ζ5i3−i3−ζ−ζ8−ζ2−ζ7−ζ4−ζ5ζ−ζ8−ζ+ζ8−ζ2+ζ7ζ2−ζ7ζ4−ζ5−ζ4+ζ500000000000
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Here ζ is a primitive root of unity of order 9 (ζ9 = 1); i = ζ2.