Finite Group Databasebeta

← Group #13049594

Character table — Group #13049594

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size112222222244444444444444444444444444444444444499181818181818181881818181112222222244444444444444444444444444444444444499181818181818181881818181
order1233336666333333333333333333666666666666666666441212121212121212888822666666666666666666666666666666666666666666664412121212121212128888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111111111111111111111111111-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1ii−i−i1111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1ii−i−i
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1−i−iii1111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1−i−iii
χ51-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−iiiii−i−i−i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−iiiii−i−i−i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ61-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−iiiii−i−i−i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−iiiii−i−i−i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ71-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−i−i−i−iiiii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ231-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−i−i−i−iiiii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ81-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−i−i−i−iiiiiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ231-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−i−i−i−iiiiiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ9222-1-1-12-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-12-1-1-10000222-1-1-12-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-12-1-1-10000
χ10222-1-1-12-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2111-21110000222-1-1-12-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2111-21110000
χ1122-12-1-1-12-1-122-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-122-12-1-1-12-1-1000022-12-1-1-12-1-122-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-122-12-1-1-12-1-10000
χ1222-12-1-1-12-1-122-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-2-21-2111-211000022-12-1-1-12-1-122-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-2-21-2111-2110000
χ1322-1-12-1-1-12-122-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-122-1-12-1-1-12-1000022-1-12-1-1-12-122-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-122-1-12-1-1-12-10000
χ1422-1-12-1-1-12-122-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-2-211-2111-21000022-1-12-1-1-12-122-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-2-211-2111-210000
χ1522-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-12-1-1-12000022-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-12-1-1-120000
χ1622-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-12222-2-2111-2111-2000022-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-12222-2-2111-2111-20000
χ172-22-1-1-1-2111222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111111111112i−2i2i−i−i−i−2iiii00002-22-1-1-1-2111222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111111111112i−2i2i−i−i−i−2iiii0000
χ182-22-1-1-1-2111222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111111111−2i2i−2iiii2i−i−i−i00002-22-1-1-1-2111222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111111111−2i2i−2iiii2i−i−i−i0000
χ192-2-12-1-11-21122-1-1-1-12222-1-1-1-1-1-1-1-1-2-21111-2-2-2-2111111112i−2i−i2i−i−ii−2iii00002-2-12-1-11-21122-1-1-1-12222-1-1-1-1-1-1-1-1-2-21111-2-2-2-2111111112i−2i−i2i−i−ii−2iii0000
χ202-2-12-1-11-21122-1-1-1-12222-1-1-1-1-1-1-1-1-2-21111-2-2-2-211111111−2i2ii−2iii−i2i−i−i00002-2-12-1-11-21122-1-1-1-12222-1-1-1-1-1-1-1-1-2-21111-2-2-2-211111111−2i2ii−2iii−i2i−i−i0000
χ212-2-1-12-111-2122-1-1-1-1-1-1-1-12222-1-1-1-1-2-211111111-2-2-2-211112i−2i−i−i2i−iii−2ii00002-2-1-12-111-2122-1-1-1-1-1-1-1-12222-1-1-1-1-2-211111111-2-2-2-211112i−2i−i−i2i−iii−2ii0000
χ222-2-1-12-111-2122-1-1-1-1-1-1-1-12222-1-1-1-1-2-211111111-2-2-2-21111−2i2iii−2ii−i−i2i−i00002-2-1-12-111-2122-1-1-1-1-1-1-1-12222-1-1-1-1-2-211111111-2-2-2-21111−2i2iii−2ii−i−i2i−i0000
χ232-2-1-1-12111-222-1-1-1-1-1-1-1-1-1-1-1-12222-2-2111111111111-2-2-2-22i−2i−i−i−i2iiii−2i00002-2-1-1-12111-222-1-1-1-1-1-1-1-1-1-1-1-12222-2-2111111111111-2-2-2-22i−2i−i−i−i2iiii−2i0000
χ242-2-1-1-12111-222-1-1-1-1-1-1-1-1-1-1-1-12222-2-2111111111111-2-2-2-2−2i2iiii−2i−i−i−i2i00002-2-1-1-12111-222-1-1-1-1-1-1-1-1-1-1-1-12222-2-2111111111111-2-2-2-2−2i2iiii−2i−i−i−i2i0000
χ2544444444441-211-2-211-2-211-2-211-2-21-211-2-211-2-211-2-211-2-20000000000000044444444441-211-2-211-2-211-2-211-2-21-211-2-211-2-211-2-211-2-200000000000000
χ264444444444-21-2-211-2-211-2-211-2-211-21-2-211-2-211-2-211-2-211000000000000004444444444-21-2-211-2-211-2-211-2-211-21-2-211-2-211-2-211-2-21100000000000000
χ27444-2-2-24-2-2-21-211-2-2−1−3i32−1+3i3211−1−3i32−1+3i3211−1−3i32−1+3i32111-211-2-2−1−3i32−1+3i3211−1−3i32−1+3i3211−1−3i32−1+3i321100000000000000444-2-2-24-2-2-21-211-2-2−1−3i32−1+3i3211−1−3i32−1+3i3211−1−3i32−1+3i32111-211-2-2−1−3i32−1+3i3211−1−3i32−1+3i3211−1−3i32−1+3i321100000000000000
χ28444-2-2-24-2-2-21-211-2-2−1+3i32−1−3i3211−1+3i32−1−3i3211−1+3i32−1−3i32111-211-2-2−1+3i32−1−3i3211−1+3i32−1−3i3211−1+3i32−1−3i321100000000000000444-2-2-24-2-2-21-211-2-2−1+3i32−1−3i3211−1+3i32−1−3i3211−1+3i32−1−3i32111-211-2-2−1+3i32−1−3i3211−1+3i32−1−3i3211−1+3i32−1−3i321100000000000000
χ29444-2-2-24-2-2-2-21-2-21111−1−3i32−1+3i3211−1−3i32−1+3i3211−1−3i32−1+3i32-21-2-21111−1−3i32−1+3i3211−1−3i32−1+3i3211−1−3i32−1+3i3200000000000000444-2-2-24-2-2-2-21-2-21111−1−3i32−1+3i3211−1−3i32−1+3i3211−1−3i32−1+3i32-21-2-21111−1−3i32−1+3i3211−1−3i32−1+3i3211−1−3i32−1+3i3200000000000000
χ30444-2-2-24-2-2-2-21-2-21111−1+3i32−1−3i3211−1+3i32−1−3i3211−1+3i32−1−3i32-21-2-21111−1+3i32−1−3i3211−1+3i32−1−3i3211−1+3i32−1−3i3200000000000000444-2-2-24-2-2-2-21-2-21111−1+3i32−1−3i3211−1+3i32−1−3i3211−1+3i32−1−3i32-21-2-21111−1+3i32−1−3i3211−1+3i32−1−3i3211−1+3i32−1−3i3200000000000000
χ3144-24-2-2-24-2-21-2−1−3i32−1+3i321111-2-2−1−3i32−1+3i3211−1+3i32−1−3i32111-2−1−3i32−1+3i321111-2-2−1−3i32−1+3i3211−1+3i32−1−3i32110000000000000044-24-2-2-24-2-21-2−1−3i32−1+3i321111-2-2−1−3i32−1+3i3211−1+3i32−1−3i32111-2−1−3i32−1+3i321111-2-2−1−3i32−1+3i3211−1+3i32−1−3i321100000000000000
χ3244-24-2-2-24-2-21-2−1+3i32−1−3i321111-2-2−1+3i32−1−3i3211−1−3i32−1+3i32111-2−1+3i32−1−3i321111-2-2−1+3i32−1−3i3211−1−3i32−1+3i32110000000000000044-24-2-2-24-2-21-2−1+3i32−1−3i321111-2-2−1+3i32−1−3i3211−1−3i32−1+3i32111-2−1+3i32−1−3i321111-2-2−1+3i32−1−3i3211−1−3i32−1+3i321100000000000000
χ3344-24-2-2-24-2-2-2111−1−3i32−1+3i32-2-21111−1−3i32−1+3i3211−1+3i32−1−3i32-2111−1−3i32−1+3i32-2-21111−1−3i32−1+3i3211−1+3i32−1−3i320000000000000044-24-2-2-24-2-2-2111−1−3i32−1+3i32-2-21111−1−3i32−1+3i3211−1+3i32−1−3i32-2111−1−3i32−1+3i32-2-21111−1−3i32−1+3i3211−1+3i32−1−3i3200000000000000
χ3444-24-2-2-24-2-2-2111−1+3i32−1−3i32-2-21111−1+3i32−1−3i3211−1−3i32−1+3i32-2111−1+3i32−1−3i32-2-21111−1+3i32−1−3i3211−1−3i32−1+3i320000000000000044-24-2-2-24-2-2-2111−1+3i32−1−3i32-2-21111−1+3i32−1−3i3211−1−3i32−1+3i32-2111−1+3i32−1−3i32-2-21111−1+3i32−1−3i3211−1−3i32−1+3i3200000000000000
χ3544-2-24-2-2-24-21-2−1−3i32−1+3i3211−1+3i32−1−3i321111-2-2−1−3i32−1+3i32111-2−1−3i32−1+3i3211−1+3i32−1−3i321111-2-2−1−3i32−1+3i32110000000000000044-2-24-2-2-24-21-2−1−3i32−1+3i3211−1+3i32−1−3i321111-2-2−1−3i32−1+3i32111-2−1−3i32−1+3i3211−1+3i32−1−3i321111-2-2−1−3i32−1+3i321100000000000000
χ3644-2-24-2-2-24-21-2−1+3i32−1−3i3211−1−3i32−1+3i321111-2-2−1+3i32−1−3i32111-2−1+3i32−1−3i3211−1−3i32−1+3i321111-2-2−1+3i32−1−3i32110000000000000044-2-24-2-2-24-21-2−1+3i32−1−3i3211−1−3i32−1+3i321111-2-2−1+3i32−1−3i32111-2−1+3i32−1−3i3211−1−3i32−1+3i321111-2-2−1+3i32−1−3i321100000000000000
χ3744-2-24-2-2-24-2-2111−1−3i32−1+3i3211−1+3i32−1−3i32-2-21111−1−3i32−1+3i32-2111−1−3i32−1+3i3211−1+3i32−1−3i32-2-21111−1−3i32−1+3i320000000000000044-2-24-2-2-24-2-2111−1−3i32−1+3i3211−1+3i32−1−3i32-2-21111−1−3i32−1+3i32-2111−1−3i32−1+3i3211−1+3i32−1−3i32-2-21111−1−3i32−1+3i3200000000000000
χ3844-2-24-2-2-24-2-2111−1+3i32−1−3i3211−1−3i32−1+3i32-2-21111−1+3i32−1−3i32-2111−1+3i32−1−3i3211−1−3i32−1+3i32-2-21111−1+3i32−1−3i320000000000000044-2-24-2-2-24-2-2111−1+3i32−1−3i3211−1−3i32−1+3i32-2-21111−1+3i32−1−3i32-2111−1+3i32−1−3i3211−1−3i32−1+3i32-2-21111−1+3i32−1−3i3200000000000000
χ3944-2-2-24-2-2-241-2−1−3i32−1+3i3211−1−3i32−1+3i3211−1+3i32−1−3i321111-2-21-2−1−3i32−1+3i3211−1−3i32−1+3i3211−1+3i32−1−3i321111-2-20000000000000044-2-2-24-2-2-241-2−1−3i32−1+3i3211−1−3i32−1+3i3211−1+3i32−1−3i321111-2-21-2−1−3i32−1+3i3211−1−3i32−1+3i3211−1+3i32−1−3i321111-2-200000000000000
χ4044-2-2-24-2-2-241-2−1+3i32−1−3i3211−1+3i32−1−3i3211−1−3i32−1+3i321111-2-21-2−1+3i32−1−3i3211−1+3i32−1−3i3211−1−3i32−1+3i321111-2-20000000000000044-2-2-24-2-2-241-2−1+3i32−1−3i3211−1+3i32−1−3i3211−1−3i32−1+3i321111-2-21-2−1+3i32−1−3i3211−1+3i32−1−3i3211−1−3i32−1+3i321111-2-200000000000000
χ4144-2-2-24-2-2-24-2111−1−3i32−1+3i3211−1−3i32−1+3i3211−1+3i32−1−3i32-2-211-2111−1−3i32−1+3i3211−1−3i32−1+3i3211−1+3i32−1−3i32-2-2110000000000000044-2-2-24-2-2-24-2111−1−3i32−1+3i3211−1−3i32−1+3i3211−1+3i32−1−3i32-2-211-2111−1−3i32−1+3i3211−1−3i32−1+3i3211−1+3i32−1−3i32-2-21100000000000000
χ4244-2-2-24-2-2-24-2111−1+3i32−1−3i3211−1+3i32−1−3i3211−1−3i32−1+3i32-2-211-2111−1+3i32−1−3i3211−1+3i32−1−3i3211−1−3i32−1+3i32-2-2110000000000000044-2-2-24-2-2-24-2111−1+3i32−1−3i3211−1+3i32−1−3i3211−1−3i32−1+3i32-2-211-2111−1+3i32−1−3i3211−1+3i32−1−3i3211−1−3i32−1+3i32-2-21100000000000000
χ434-44444-4-4-4-41-211-2-211-2-211-2-211-2-2-12-1-122-1-122-1-122-1-122000000000000004-44444-4-4-4-41-211-2-211-2-211-2-211-2-2-12-1-122-1-122-1-122-1-12200000000000000
χ444-44444-4-4-4-4-21-2-211-2-211-2-211-2-2112-122-1-122-1-122-1-122-1-1000000000000004-44444-4-4-4-4-21-2-211-2-211-2-211-2-2112-122-1-122-1-122-1-122-1-100000000000000
χ454-44-2-2-2-42221-211-2-2−1−3i32−1+3i3211−1−3i32−1+3i3211−1−3i32−1+3i3211-12-1-1221+3i321−3i32-1-11+3i321−3i32-1-11+3i321−3i32-1-1000000000000004-44-2-2-2-42221-211-2-2−1−3i32−1+3i3211−1−3i32−1+3i3211−1−3i32−1+3i3211-12-1-1221+3i321−3i32-1-11+3i321−3i32-1-11+3i321−3i32-1-100000000000000
χ464-44-2-2-2-42221-211-2-2−1+3i32−1−3i3211−1+3i32−1−3i3211−1+3i32−1−3i3211-12-1-1221−3i321+3i32-1-11−3i321+3i32-1-11−3i321+3i32-1-1000000000000004-44-2-2-2-42221-211-2-2−1+3i32−1−3i3211−1+3i32−1−3i3211−1+3i32−1−3i3211-12-1-1221−3i321+3i32-1-11−3i321+3i32-1-11−3i321+3i32-1-100000000000000
χ474-44-2-2-2-4222-21-2-21111−1−3i32−1+3i3211−1−3i32−1+3i3211−1−3i32−1+3i322-122-1-1-1-11+3i321−3i32-1-11+3i321−3i32-1-11+3i321−3i32000000000000004-44-2-2-2-4222-21-2-21111−1−3i32−1+3i3211−1−3i32−1+3i3211−1−3i32−1+3i322-122-1-1-1-11+3i321−3i32-1-11+3i321−3i32-1-11+3i321−3i3200000000000000
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χ61111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ6211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ631111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1ii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111−i−iii
χ641111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111ii−i−i
χ651-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−iiiii−i−i−i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111−ii−i−i−i−iiiii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
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χ671-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−i−i−i−iiiii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111i−iiiii−i−i−i−iζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ681-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−i−i−i−iiiiiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111i−iiiii−i−i−i−i−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ69222-1-1-12-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-12-1-1-10000-2-2-2111-2111-2-2-2-2-2-2111111111111-2-2-2-2-2-2111111111111-2-2-2111-21110000
χ70222-1-1-12-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2111-21110000-2-2-2111-2111-2-2-2-2-2-2111111111111-2-2-2-2-2-2111111111111222-1-1-12-1-1-10000
χ7122-12-1-1-12-1-122-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-122-12-1-1-12-1-10000-2-21-2111-211-2-21111-2-2-2-211111111-2-21111-2-2-2-211111111-2-21-2111-2110000
χ7222-12-1-1-12-1-122-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-2-21-2111-2110000-2-21-2111-211-2-21111-2-2-2-211111111-2-21111-2-2-2-21111111122-12-1-1-12-1-10000
χ7322-1-12-1-1-12-122-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-122-1-12-1-1-12-10000-2-211-2111-21-2-211111111-2-2-2-21111-2-211111111-2-2-2-21111-2-211-2111-210000
χ7422-1-12-1-1-12-122-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-2-211-2111-210000-2-211-2111-21-2-211111111-2-2-2-21111-2-211111111-2-2-2-2111122-1-12-1-1-12-10000
χ7522-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-12-1-1-120000-2-2111-2111-2-2-2111111111111-2-2-2-2-2-2111111111111-2-2-2-2-2-2111-2111-20000
χ7622-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-12222-2-2111-2111-20000-2-2111-2111-2-2-2111111111111-2-2-2-2-2-2111111111111-2-2-2-222-1-1-12-1-1-120000
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χ782-22-1-1-1-2111222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111111111−2i2i−2iiii2i−i−i−i0000-22-21112-1-1-1-2-2-2-2-2-2111111111111222222-1-1-1-1-1-1-1-1-1-1-1-12i−2i2i−i−i−i−2iiii0000
χ792-2-12-1-11-21122-1-1-1-12222-1-1-1-1-1-1-1-1-2-21111-2-2-2-2111111112i−2i−i2i−i−ii−2iii0000-221-211-12-1-1-2-21111-2-2-2-21111111122-1-1-1-12222-1-1-1-1-1-1-1-1−2i2ii−2iii−i2i−i−i0000
χ802-2-12-1-11-21122-1-1-1-12222-1-1-1-1-1-1-1-1-2-21111-2-2-2-211111111−2i2ii−2iii−i2i−i−i0000-221-211-12-1-1-2-21111-2-2-2-21111111122-1-1-1-12222-1-1-1-1-1-1-1-12i−2i−i2i−i−ii−2iii0000
χ812-2-1-12-111-2122-1-1-1-1-1-1-1-12222-1-1-1-1-2-211111111-2-2-2-211112i−2i−i−i2i−iii−2ii0000-2211-21-1-12-1-2-211111111-2-2-2-2111122-1-1-1-1-1-1-1-12222-1-1-1-1−2i2iii−2ii−i−i2i−i0000
χ822-2-1-12-111-2122-1-1-1-1-1-1-1-12222-1-1-1-1-2-211111111-2-2-2-21111−2i2iii−2ii−i−i2i−i0000-2211-21-1-12-1-2-211111111-2-2-2-2111122-1-1-1-1-1-1-1-12222-1-1-1-12i−2i−i−i2i−iii−2ii0000
χ832-2-1-1-12111-222-1-1-1-1-1-1-1-1-1-1-1-12222-2-2111111111111-2-2-2-22i−2i−i−i−i2iiii−2i0000-22111-2-1-1-12-2-2111111111111-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-12222−2i2iiii−2i−i−i−i2i0000
χ842-2-1-1-12111-222-1-1-1-1-1-1-1-1-1-1-1-12222-2-2111111111111-2-2-2-2−2i2iiii−2i−i−i−i2i0000-22111-2-1-1-12-2-2111111111111-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-122222i−2i−i−i−i2iiii−2i0000
χ8544444444441-211-2-211-2-211-2-211-2-21-211-2-211-2-211-2-211-2-200000000000000-4-4-4-4-4-4-4-4-4-4-12-1-122-1-122-1-122-1-122-12-1-122-1-122-1-122-1-12200000000000000
χ864444444444-21-2-211-2-211-2-211-2-211-21-2-211-2-211-2-211-2-21100000000000000-4-4-4-4-4-4-4-4-4-42-122-1-122-1-122-1-122-1-12-122-1-122-1-122-1-122-1-100000000000000
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χ89444-2-2-24-2-2-2-21-2-21111−1−3i32−1+3i3211−1−3i32−1+3i3211−1−3i32−1+3i32-21-2-21111−1−3i32−1+3i3211−1−3i32−1+3i3211−1−3i32−1+3i3200000000000000-4-4-4222-42222-122-1-1-1-11+3i321−3i32-1-11+3i321−3i32-1-11+3i321−3i322-122-1-1-1-11+3i321−3i32-1-11+3i321−3i32-1-11+3i321−3i3200000000000000
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χ9244-24-2-2-24-2-21-2−1+3i32−1−3i321111-2-2−1+3i32−1−3i3211−1−3i32−1+3i32111-2−1+3i32−1−3i321111-2-2−1+3i32−1−3i3211−1−3i32−1+3i321100000000000000-4-42-4222-422-121−3i321+3i32-1-1-1-1221−3i321+3i32-1-11+3i321−3i32-1-1-121−3i321+3i32-1-1-1-1221−3i321+3i32-1-11+3i321−3i32-1-100000000000000
χ9344-24-2-2-24-2-2-2111−1−3i32−1+3i32-2-21111−1−3i32−1+3i3211−1+3i32−1−3i32-2111−1−3i32−1+3i32-2-21111−1−3i32−1+3i3211−1+3i32−1−3i3200000000000000-4-42-4222-4222-1-1-11+3i321−3i3222-1-1-1-11+3i321−3i32-1-11−3i321+3i322-1-1-11+3i321−3i3222-1-1-1-11+3i321−3i32-1-11−3i321+3i3200000000000000
χ9444-24-2-2-24-2-2-2111−1+3i32−1−3i32-2-21111−1+3i32−1−3i3211−1−3i32−1+3i32-2111−1+3i32−1−3i32-2-21111−1+3i32−1−3i3211−1−3i32−1+3i3200000000000000-4-42-4222-4222-1-1-11−3i321+3i3222-1-1-1-11−3i321+3i32-1-11+3i321−3i322-1-1-11−3i321+3i3222-1-1-1-11−3i321+3i32-1-11+3i321−3i3200000000000000
χ9544-2-24-2-2-24-21-2−1−3i32−1+3i3211−1+3i32−1−3i321111-2-2−1−3i32−1+3i32111-2−1−3i32−1+3i3211−1+3i32−1−3i321111-2-2−1−3i32−1+3i321100000000000000-4-422-4222-42-121+3i321−3i32-1-11−3i321+3i32-1-1-1-1221+3i321−3i32-1-1-121+3i321−3i32-1-11−3i321+3i32-1-1-1-1221+3i321−3i32-1-100000000000000
χ9644-2-24-2-2-24-21-2−1+3i32−1−3i3211−1−3i32−1+3i321111-2-2−1+3i32−1−3i32111-2−1+3i32−1−3i3211−1−3i32−1+3i321111-2-2−1+3i32−1−3i321100000000000000-4-422-4222-42-121−3i321+3i32-1-11+3i321−3i32-1-1-1-1221−3i321+3i32-1-1-121−3i321+3i32-1-11+3i321−3i32-1-1-1-1221−3i321+3i32-1-100000000000000
χ9744-2-24-2-2-24-2-2111−1−3i32−1+3i3211−1+3i32−1−3i32-2-21111−1−3i32−1+3i32-2111−1−3i32−1+3i3211−1+3i32−1−3i32-2-21111−1−3i32−1+3i3200000000000000-4-422-4222-422-1-1-11+3i321−3i32-1-11−3i321+3i3222-1-1-1-11+3i321−3i322-1-1-11+3i321−3i32-1-11−3i321+3i3222-1-1-1-11+3i321−3i3200000000000000
χ9844-2-24-2-2-24-2-2111−1+3i32−1−3i3211−1−3i32−1+3i32-2-21111−1+3i32−1−3i32-2111−1+3i32−1−3i3211−1−3i32−1+3i32-2-21111−1+3i32−1−3i3200000000000000-4-422-4222-422-1-1-11−3i321+3i32-1-11+3i321−3i3222-1-1-1-11−3i321+3i322-1-1-11−3i321+3i32-1-11+3i321−3i3222-1-1-1-11−3i321+3i3200000000000000
χ9944-2-2-24-2-2-241-2−1−3i32−1+3i3211−1−3i32−1+3i3211−1+3i32−1−3i321111-2-21-2−1−3i32−1+3i3211−1−3i32−1+3i3211−1+3i32−1−3i321111-2-200000000000000-4-4222-4222-4-121+3i321−3i32-1-11+3i321−3i32-1-11−3i321+3i32-1-1-1-122-121+3i321−3i32-1-11+3i321−3i32-1-11−3i321+3i32-1-1-1-12200000000000000
χ10044-2-2-24-2-2-241-2−1+3i32−1−3i3211−1+3i32−1−3i3211−1−3i32−1+3i321111-2-21-2−1+3i32−1−3i3211−1+3i32−1−3i3211−1−3i32−1+3i321111-2-200000000000000-4-4222-4222-4-121−3i321+3i32-1-11−3i321+3i32-1-11+3i321−3i32-1-1-1-122-121−3i321+3i32-1-11−3i321+3i32-1-11+3i321−3i32-1-1-1-12200000000000000
χ10144-2-2-24-2-2-24-2111−1−3i32−1+3i3211−1−3i32−1+3i3211−1+3i32−1−3i32-2-211-2111−1−3i32−1+3i3211−1−3i32−1+3i3211−1+3i32−1−3i32-2-21100000000000000-4-4222-4222-42-1-1-11+3i321−3i32-1-11+3i321−3i32-1-11−3i321+3i3222-1-12-1-1-11+3i321−3i32-1-11+3i321−3i32-1-11−3i321+3i3222-1-100000000000000
χ10244-2-2-24-2-2-24-2111−1+3i32−1−3i3211−1+3i32−1−3i3211−1−3i32−1+3i32-2-211-2111−1+3i32−1−3i3211−1+3i32−1−3i3211−1−3i32−1+3i32-2-21100000000000000-4-4222-4222-42-1-1-11−3i321+3i32-1-11−3i321+3i32-1-11+3i321−3i3222-1-12-1-1-11−3i321+3i32-1-11−3i321+3i32-1-11+3i321−3i3222-1-100000000000000
χ1034-44444-4-4-4-41-211-2-211-2-211-2-211-2-2-12-1-122-1-122-1-122-1-12200000000000000-44-4-4-4-44444-12-1-122-1-122-1-122-1-1221-211-2-211-2-211-2-211-2-200000000000000
χ1044-44444-4-4-4-4-21-2-211-2-211-2-211-2-2112-122-1-122-1-122-1-122-1-100000000000000-44-4-4-4-444442-122-1-122-1-122-1-122-1-1-21-2-211-2-211-2-211-2-21100000000000000
χ1054-44-2-2-2-42221-211-2-2−1−3i32−1+3i3211−1−3i32−1+3i3211−1−3i32−1+3i3211-12-1-1221+3i321−3i32-1-11+3i321−3i32-1-11+3i321−3i32-1-100000000000000-44-42224-2-2-2-12-1-1221+3i321−3i32-1-11+3i321−3i32-1-11+3i321−3i32-1-11-211-2-2−1−3i32−1+3i3211−1−3i32−1+3i3211−1−3i32−1+3i321100000000000000
χ1064-44-2-2-2-42221-211-2-2−1+3i32−1−3i3211−1+3i32−1−3i3211−1+3i32−1−3i3211-12-1-1221−3i321+3i32-1-11−3i321+3i32-1-11−3i321+3i32-1-100000000000000-44-42224-2-2-2-12-1-1221−3i321+3i32-1-11−3i321+3i32-1-11−3i321+3i32-1-11-211-2-2−1+3i32−1−3i3211−1+3i32−1−3i3211−1+3i32−1−3i321100000000000000
χ1074-44-2-2-2-4222-21-2-21111−1−3i32−1+3i3211−1−3i32−1+3i3211−1−3i32−1+3i322-122-1-1-1-11+3i321−3i32-1-11+3i321−3i32-1-11+3i321−3i3200000000000000-44-42224-2-2-22-122-1-1-1-11+3i321−3i32-1-11+3i321−3i32-1-11+3i321−3i32-21-2-21111−1−3i32−1+3i3211−1−3i32−1+3i3211−1−3i32−1+3i3200000000000000
χ1084-44-2-2-2-4222-21-2-21111−1+3i32−1−3i3211−1+3i32−1−3i3211−1+3i32−1−3i322-122-1-1-1-11−3i321+3i32-1-11−3i321+3i32-1-11−3i321+3i3200000000000000-44-42224-2-2-22-122-1-1-1-11−3i321+3i32-1-11−3i321+3i32-1-11−3i321+3i32-21-2-21111−1+3i32−1−3i3211−1+3i32−1−3i3211−1+3i32−1−3i3200000000000000
χ1094-4-24-2-22-4221-2−1−3i32−1+3i321111-2-2−1−3i32−1+3i3211−1+3i32−1−3i3211-121+3i321−3i32-1-1-1-1221+3i321−3i32-1-11−3i321+3i32-1-100000000000000-442-422-24-2-2-121+3i321−3i32-1-1-1-1221+3i321−3i32-1-11−3i321+3i32-1-11-2−1−3i32−1+3i321111-2-2−1−3i32−1+3i3211−1+3i32−1−3i321100000000000000
χ1104-4-24-2-22-4221-2−1+3i32−1−3i321111-2-2−1+3i32−1−3i3211−1−3i32−1+3i3211-121−3i321+3i32-1-1-1-1221−3i321+3i32-1-11+3i321−3i32-1-100000000000000-442-422-24-2-2-121−3i321+3i32-1-1-1-1221−3i321+3i32-1-11+3i321−3i32-1-11-2−1+3i32−1−3i321111-2-2−1+3i32−1−3i3211−1−3i32−1+3i321100000000000000
χ1114-4-24-2-22-422-2111−1−3i32−1+3i32-2-21111−1−3i32−1+3i3211−1+3i32−1−3i322-1-1-11+3i321−3i3222-1-1-1-11+3i321−3i32-1-11−3i321+3i3200000000000000-442-422-24-2-22-1-1-11+3i321−3i3222-1-1-1-11+3i321−3i32-1-11−3i321+3i32-2111−1−3i32−1+3i32-2-21111−1−3i32−1+3i3211−1+3i32−1−3i3200000000000000
χ1124-4-24-2-22-422-2111−1+3i32−1−3i32-2-21111−1+3i32−1−3i3211−1−3i32−1+3i322-1-1-11−3i321+3i3222-1-1-1-11−3i321+3i32-1-11+3i321−3i3200000000000000-442-422-24-2-22-1-1-11−3i321+3i3222-1-1-1-11−3i321+3i32-1-11+3i321−3i32-2111−1+3i32−1−3i32-2-21111−1+3i32−1−3i3211−1−3i32−1+3i3200000000000000
χ1134-4-2-24-222-421-2−1−3i32−1+3i3211−1+3i32−1−3i321111-2-2−1−3i32−1+3i3211-121+3i321−3i32-1-11−3i321+3i32-1-1-1-1221+3i321−3i32-1-100000000000000-4422-42-2-24-2-121+3i321−3i32-1-11−3i321+3i32-1-1-1-1221+3i321−3i32-1-11-2−1−3i32−1+3i3211−1+3i32−1−3i321111-2-2−1−3i32−1+3i321100000000000000
χ1144-4-2-24-222-421-2−1+3i32−1−3i3211−1−3i32−1+3i321111-2-2−1+3i32−1−3i3211-121−3i321+3i32-1-11+3i321−3i32-1-1-1-1221−3i321+3i32-1-100000000000000-4422-42-2-24-2-121−3i321+3i32-1-11+3i321−3i32-1-1-1-1221−3i321+3i32-1-11-2−1+3i32−1−3i3211−1−3i32−1+3i321111-2-2−1+3i32−1−3i321100000000000000
χ1154-4-2-24-222-42-2111−1−3i32−1+3i3211−1+3i32−1−3i32-2-21111−1−3i32−1+3i322-1-1-11+3i321−3i32-1-11−3i321+3i3222-1-1-1-11+3i321−3i3200000000000000-4422-42-2-24-22-1-1-11+3i321−3i32-1-11−3i321+3i3222-1-1-1-11+3i321−3i32-2111−1−3i32−1+3i3211−1+3i32−1−3i32-2-21111−1−3i32−1+3i3200000000000000
χ1164-4-2-24-222-42-2111−1+3i32−1−3i3211−1−3i32−1+3i32-2-21111−1+3i32−1−3i322-1-1-11−3i321+3i32-1-11+3i321−3i3222-1-1-1-11−3i321+3i3200000000000000-4422-42-2-24-22-1-1-11−3i321+3i32-1-11+3i321−3i3222-1-1-1-11−3i321+3i32-2111−1+3i32−1−3i3211−1−3i32−1+3i32-2-21111−1+3i32−1−3i3200000000000000
χ1174-4-2-2-24222-41-2−1−3i32−1+3i3211−1−3i32−1+3i3211−1+3i32−1−3i321111-2-2-121+3i321−3i32-1-11+3i321−3i32-1-11−3i321+3i32-1-1-1-12200000000000000-44222-4-2-2-24-121+3i321−3i32-1-11+3i321−3i32-1-11−3i321+3i32-1-1-1-1221-2−1−3i32−1+3i3211−1−3i32−1+3i3211−1+3i32−1−3i321111-2-200000000000000
χ1184-4-2-2-24222-41-2−1+3i32−1−3i3211−1+3i32−1−3i3211−1−3i32−1+3i321111-2-2-121−3i321+3i32-1-11−3i321+3i32-1-11+3i321−3i32-1-1-1-12200000000000000-44222-4-2-2-24-121−3i321+3i32-1-11−3i321+3i32-1-11+3i321−3i32-1-1-1-1221-2−1+3i32−1−3i3211−1+3i32−1−3i3211−1−3i32−1+3i321111-2-200000000000000
χ1194-4-2-2-24222-4-2111−1−3i32−1+3i3211−1−3i32−1+3i3211−1+3i32−1−3i32-2-2112-1-1-11+3i321−3i32-1-11+3i321−3i32-1-11−3i321+3i3222-1-100000000000000-44222-4-2-2-242-1-1-11+3i321−3i32-1-11+3i321−3i32-1-11−3i321+3i3222-1-1-2111−1−3i32−1+3i3211−1−3i32−1+3i3211−1+3i32−1−3i32-2-21100000000000000
χ1204-4-2-2-24222-4-2111−1+3i32−1−3i3211−1+3i32−1−3i3211−1−3i32−1+3i32-2-2112-1-1-11−3i321+3i32-1-11−3i321+3i32-1-11+3i321−3i3222-1-100000000000000-44222-4-2-2-242-1-1-11−3i321+3i32-1-11−3i321+3i32-1-11+3i321−3i3222-1-1-2111−1+3i32−1−3i3211−1+3i32−1−3i3211−1−3i32−1+3i32-2-21100000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.