Finite Group Databasebeta

← Group #13178340

Character table — Group #13178340

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size111122222222222222444444444444444444444444444444448888888888888888888888888888888888181818181818181818181818181836363636363636363636363636363636363636363672727272
order12223334466666666633333446666666666666661212121212121212121212121212121212121212121212121212121212121212121212121212121212121212222244444412121212444444466661212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-111-1-111
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1
χ511111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-11-1-11111-1-111-1-1-1-11111-1-1
χ611111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-11-1111111-1-1-1-11111-1-1-1-111
χ711111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-111-1-1-1-1-1-11111111111-1-1-1-1
χ811111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111
χ91111111-1-1111111111111111-1111111111111111-1-1-1-1-1-111-1-11-11-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-11-1-1-11-111-1-1-1-11111-1-1-1-11-11-1
χ101111111-1-1111111111111111-1111111111111111-1-1-1-1-1-111-1-11-11-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1111-1111-1-1-1-1-1-1-1-11111-11-11
χ111111111-1-1111111111111111-1111111111111111-1-1-1-1-1-111-1-11-11-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-111-11-1-1-1111111-1-111-1-1-111-1
χ121111111-1-1111111111111111-1111111111111111-1-1-1-1-1-111-1-11-11-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-11-11-1-11111-1-111-1-1111-1-11
χ131111111-1-111111111111111-11111111111111111-1-1-1-1-1-1-1-111-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-111-11-1-1111-1-11111-1-111-1-11-1-11
χ141111111-1-111111111111111-11111111111111111-1-1-1-1-1-1-1-111-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-11-11-111-111-1-111-1-111-1-111-111-1
χ151111111-1-111111111111111-11111111111111111-1-1-1-1-1-1-1-111-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111111111111-1-11-1-1-11-1-111-1-11111-1-1-1-1-11-11
χ161111111-1-111111111111111-11111111111111111-1-1-1-1-1-1-1-111-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-11111-11-1111-1-1-111-1-1-1-1-1-111111-11-1
χ17222222-12222-12-12-1222-1-1-1-1222-1-1-1-12-1-1-1-12-1-1-1-12222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222002200-1-1-1-12000000-1-1-1-1-1-1000000000000
χ18222222-12222-12-12-1222-1-1-1-1222-1-1-1-12-1-1-1-12-1-1-1-12222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-200-2-2001111-2000000111111000000000000
χ19222222-12222-12-12-1222-1-1-1-1-2-22-1-1-1-12-1-1-1-12-1-1-1-12222-1-11111-2-2-2-222-1-1-1-1-1-1-1-1-2-211111111-2-211111111222200-2-2001111-2000000-1-1-1-111000000000000
χ20222222-12222-12-12-1222-1-1-1-1-2-22-1-1-1-12-1-1-1-12-1-1-1-12222-1-11111-2-2-2-222-1-1-1-1-1-1-1-1-2-211111111-2-211111111-2-2-2-2002200-1-1-1-120000001111-1-1000000000000
χ21222222-1-2-222-12-12-1222-1-1-1-12-22-1-1-1-12-1-1-1-12-1-1-1-1-2-2-2-211-1-1112-22-2-2-21111111122-1-1-1-1-1-1-1-1-2-21111111122-2-2002200-1-1-1-1-2000000-1-11111000000000000
χ22222222-1-2-222-12-12-1222-1-1-1-12-22-1-1-1-12-1-1-1-12-1-1-1-1-2-2-2-211-1-1112-22-2-2-21111111122-1-1-1-1-1-1-1-1-2-211111111-2-22200-2-2001111200000011-1-1-1-1000000000000
χ23222222-1-2-222-12-12-1222-1-1-1-1-222-1-1-1-12-1-1-1-12-1-1-1-1-2-2-2-21111-1-1-22-22-2-211111111-2-21111111122-1-1-1-1-1-1-1-122-2-200-2-20011112000000-1-111-1-1000000000000
χ24222222-1-2-222-12-12-1222-1-1-1-1-222-1-1-1-12-1-1-1-12-1-1-1-1-2-2-2-21111-1-1-22-22-2-211111111-2-21111111122-1-1-1-1-1-1-1-1-2-222002200-1-1-1-1-200000011-1-111000000000000
χ2522222-12222-1222-12-12-12-1-1-122-12-1-1-1-12-1-1-1-12-1-1-122-1-1222222-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100000000220000022200000000000-1-1-1-100-1-100
χ2622222-12222-1222-12-12-12-1-1-122-12-1-1-1-12-1-1-1-12-1-1-122-1-1222222-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100000000-2-200000-2-2-2000000000001111001100
χ2722222-12222-1222-12-12-12-1-1-1-2-2-12-1-1-1-12-1-1-1-12-1-1-122-1-122-2-2-2-211-2-2-1-122-1-1-1-1-1-111-2-211111111-2-2111111000000002200000-2-2200000000000-1-1-1-1001100
χ2822222-12222-1222-12-12-12-1-1-1-2-2-12-1-1-1-12-1-1-1-12-1-1-122-1-122-2-2-2-211-2-2-1-122-1-1-1-1-1-111-2-211111111-2-211111100000000-2-20000022-200000000000111100-1-100
χ2922222-12-2-22-1222-12-12-12-1-1-12-2-12-1-1-1-12-1-1-1-12-1-1-1-2-211-2-222-2-2-112-211-2-2111111-1-122-1-1-1-1-1-111-2-21111110000000022000002-2-200000000000-1-11100-1100
χ3022222-12-2-22-1222-12-12-12-1-1-12-2-12-1-1-1-12-1-1-1-12-1-1-1-2-211-2-222-2-2-112-211-2-2111111-1-122-1-1-1-1-1-111-2-211111100000000-2-200000-2220000000000011-1-1001-100
χ3122222-12-2-22-1222-12-12-12-1-1-1-22-12-1-1-1-12-1-1-1-12-1-1-1-2-211-2-2-2-2221-1-2211-2-211111111-2-2111111-1-122-1-1-1-1-1-1000000002200000-22-200000000000-1-111001-100
χ3222222-12-2-22-1222-12-12-12-1-1-1-22-12-1-1-1-12-1-1-1-12-1-1-1-2-211-2-2-2-2221-1-2211-2-211111111-2-2111111-1-122-1-1-1-1-1-100000000-2-2000002-220000000000011-1-100-1100
χ332222-12222-122-12222-1-1-12-1-122-1-12-1-1-1-12-1-1-1-12-1-1-1-12222222222-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1000022000000000000222000000-1-10000-1-100-1-1
χ342222-12222-122-12222-1-1-12-1-122-1-12-1-1-1-12-1-1-1-12-1-1-1-12222222222-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-10000-2-2000000000000-2-2-2000000110000110011
χ352222-12222-122-12222-1-1-12-1-1-2-2-1-12-1-1-1-12-1-1-1-12-1-1-1-12222-2-2-2-2-2-211-1-1-1-122-1-1-1-11111-2-211111111-2-211110000220000000000002-2-2000000-1-10000-1-10011
χ362222-12222-122-12222-1-1-12-1-1-2-2-1-12-1-1-1-12-1-1-1-12-1-1-1-12222-2-2-2-2-2-211-1-1-1-122-1-1-1-11111-2-211111111-2-211110000-2-2000000000000-2220000001100001100-1-1
χ372222-122-2-2-122-12222-1-1-12-1-12-2-1-12-1-1-1-12-1-1-1-12-1-111-2-2-2-222-2-22-2-111111-2-21111-1-1-1-122-1-1-1-11111-2-21111000022000000000000-22-2000000-1-100001100-11
χ382222-122-2-2-122-12222-1-1-12-1-12-2-1-12-1-1-1-12-1-1-1-12-1-111-2-2-2-222-2-22-2-111111-2-21111-1-1-1-122-1-1-1-11111-2-211110000-2-20000000000002-22000000110000-1-1001-1
χ392222-122-2-2-122-12222-1-1-12-1-1-22-1-12-1-1-1-12-1-1-1-12-1-111-2-2-2-2-2-222-221-11111-2-211111111-2-21111-1-1-1-122-1-1-1-1000022000000000000-2-22000000-1-1000011001-1
χ402222-122-2-2-122-12222-1-1-12-1-1-22-1-12-1-1-1-12-1-1-1-12-1-111-2-2-2-2-2-222-221-11111-2-211111111-2-21111-1-1-1-122-1-1-1-10000-2-200000000000022-2000000110000-1-100-11
χ4122-2-22222-2222-2-2-2-2-2-22222200-2-2-2-2-222222-2-2-2-2-22-22-22-2000000002-22-22-222-2-2000000000000000000002-22-2000000000000000002-22-200000000000000
χ4222-2-22222-2222-2-2-2-2-2-22222200-2-2-2-2-222222-2-2-2-2-22-22-22-2000000002-22-22-222-2-200000000000000000000-22-2200000000000000000-22-2200000000000000
χ4322-2-2222-22222-2-2-2-2-2-22222200-2-2-2-2-222222-2-2-2-2-2-22-22-2200000000-22-22-22-2-222000000000000000000002-2-22000000000000000002-2-2200000000000000
χ4422-2-2222-22222-2-2-2-2-2-22222200-2-2-2-2-222222-2-2-2-2-2-22-22-2200000000-22-22-22-2-22200000000000000000000-222-200000000000000000-222-200000000000000
χ4522-2-222-12-222-1-21-21-2-22-1-1-1-100-211112-1-1-1-1-211112-22-2-113−33−300002-2-11-11-1-111003−33−333−3−3003−33−333−3−32-22-200000033−3−30000000-11-113−3000000000000
χ4622-2-222-12-222-1-21-21-2-22-1-1-1-100-211112-1-1-1-1-211112-22-2-113−33−300002-2-11-11-1-111003−33−333−3−3003−33−333−3−3-22-22000000−3−33300000001-11-1−33000000000000
χ4722-2-222-12-222-1-21-21-2-22-1-1-1-100-211112-1-1-1-1-211112-22-2-11−33−3300002-2-11-11-1-11100−33−33−3−33300−33−33−3−3332-22-2000000−3−3330000000-11-11−33000000000000
χ4822-2-222-12-222-1-21-21-2-22-1-1-1-100-211112-1-1-1-1-211112-22-2-11−33−3300002-2-11-11-1-11100−33−33−3−33300−33−33−3−333-22-2200000033−3−300000001-11-13−3000000000000
χ4922-2-222-1-2222-1-21-21-2-22-1-1-1-100-211112-1-1-1-1-21111-22-221-13−3−330000-221-11-111-1-1003−33−333−3−300−33−33−3−3332-2-2200000033−3−30000000-111-1−33000000000000
χ5022-2-222-1-2222-1-21-21-2-22-1-1-1-100-211112-1-1-1-1-21111-22-221-13−3−330000-221-11-111-1-1003−33−333−3−300−33−33−3−333-222-2000000−3−33300000001-1-113−3000000000000
χ5122-2-222-1-2222-1-21-21-2-22-1-1-1-100-211112-1-1-1-1-21111-22-221-1−333−30000-221-11-111-1-100−33−33−3−333003−33−333−3−32-2-22000000−3−3330000000-111-13−3000000000000
χ5222-2-222-1-2222-1-21-21-2-22-1-1-1-100-211112-1-1-1-1-21111-22-221-1−333−30000-221-11-111-1-100−33−33−3−333003−33−333−3−3-222-200000033−3−300000001-1-11−33000000000000
χ532-22-222200-2-2-222-2-22-2222220022222-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000002-22i−2i2i−2i2i−2i2i−2i00000000000002-22i−2i00000000
χ542-22-222200-2-2-222-2-22-2222220022222-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000002-2−2i2i−2i2i−2i2i−2i2i00000000000002-2−2i2i00000000
χ552-22-222200-2-2-222-2-22-2222220022222-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000-222i−2i−2i2i2i−2i2i−2i0000000000000-22−2i2i00000000
χ562-22-222200-2-2-222-2-22-2222220022222-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000-22−2i2i2i−2i−2i2i−2i2i0000000000000-222i−2i00000000
χ5744444-2-2444-2-24-2-2-2-24-2-211144-2-2111-2-2111-2-211144-2-2-2-2-2-2-2-2-2-244-2-2-2-2111111-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000000000000
χ5844444-2-2444-2-24-2-2-2-24-2-2111-4-4-2-2111-2-2111-2-211144-2-2-2-2222222-4-4-2-2-2-21111112222-1-1-1-1-1-12222-1-1-1-1-1-1000000000000000000000000000000000000000
χ5944444-2-2-4-44-2-24-2-2-2-24-2-21114-4-2-2111-2-2111-2-2111-4-42222-2-222-224-42222-1-1-1-1-1-1-2-2-2-21111112222-1-1-1-1-1-1000000000000000000000000000000000000000
χ6044444-2-2-4-44-2-24-2-2-2-24-2-2111-44-2-2111-2-2111-2-2111-4-4222222-2-22-2-442222-1-1-1-1-1-12222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000000000
χ614444-24-244-24-2-2-24-24-2-21-21144-21-211-21-211-21-211-2-244-2-2-2-2-2-244-2-2-2-211-2-21111-2-211-2-21111-2-211-2-21111000000000000000000000000000000000000000
χ624444-24-244-24-2-2-24-24-2-21-211-4-4-21-211-21-211-21-211-2-244-2-22222-4-422-2-211-2-2111122-1-122-1-1-1-122-1-122-1-1-1-1000000000000000000000000000000000000000
χ634444-24-2-4-4-24-2-2-24-24-2-21-2114-4-21-211-21-211-21-21122-4-422-2-2224-4-2222-1-122-1-1-1-1-2-211-2-2111122-1-122-1-1-1-1000000000000000000000000000000000000000
χ644444-24-2-4-4-24-2-2-24-24-2-21-211-44-21-211-21-211-21-21122-4-42222-2-2-442-222-1-122-1-1-1-122-1-122-1-1-1-1-2-211-2-21111000000000000000000000000000000000000000
χ654444-2-2444-2-24-24-24-2-21-2-211441-2-2111-2-2111-2-211-2-2-2-2444444-2-2-2-211-2-2-2-2111111-2-2-2-2111111-2-2-2-21111000000000000000000000000000000000000000
χ664444-2-2444-2-24-24-24-2-21-2-211-4-41-2-2111-2-2111-2-211-2-2-2-244-4-4-4-4222211-2-2-2-21111-1-12222-1-1-1-1-1-12222-1-1-1-1000000000000000000000000000000000000000
χ674444-2-24-4-4-2-24-24-24-2-21-2-2114-41-2-2111-2-2111-2-2112222-4-444-4-4-22-22-1-12222-1-1-1-111-2-2-2-21111-1-12222-1-1-1-1000000000000000000000000000000000000000
χ684444-2-24-4-4-2-24-24-24-2-21-2-211-441-2-2111-2-2111-2-2112222-4-4-4-4442-22-2-1-12222-1-1-1-1-1-12222-1-1-1-111-2-2-2-21111000000000000000000000000000000000000000
χ694444-2-2-244-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i3244111−1−3i32−1+3i32111−1−3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000000000000000
χ704444-2-2-244-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32-4-4111−1−3i32−1+3i32111−1−3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2-2-222222222111111−1−3i32−1+3i32−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000000000000000
χ714444-2-2-244-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i3244111−1+3i32−1−3i32111−1+3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111−1+3i32−1−3i32−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000000000
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χ8844-4-4-24-2-44-24-222-42-42-21-211002-12-1-1-21-2112-12-1-12-2-442-2−232323−2300002-2-112-2-1-111003−3−232333−3−300−3323−23−3−333000000000000000000000000000000000000000
χ8944-4-4-2-244-4-2-242-42-4221-2-21100-122-1-11-2-211-122-1-1-22-224-4000000001-1-22-2211-1-13i−3i00003i−3i−3i3i3i−3i00003i−3i−3i3i000000000000000000000000000000000000000
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χ9144-4-4-2-24-44-2-242-42-4221-2-21100-122-1-11-2-211-122-1-12-22-2-4400000000-112-22-2-1-1113i−3i00003i−3i−3i3i−3i3i0000−3i3i3i−3i000000000000000000000000000000000000000
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χ9344-4-4-2-2-24-4-2-2-2222222111−1−3i32−1+3i3200-1-1-11+3i321−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i32-22-22-2223−2323−2300001-11-11-1−1−3i32−1+3i321+3i321−3i323i−3i−33−33ζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ113i−3i−33−33ζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11000000000000000000000000000000000000000
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χ9544-4-4-2-2-24-4-2-2-2222222111−1+3i32−1−3i3200-1-1-11−3i321+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i32-22-22-2223−2323−2300001-11-11-1−1+3i32−1−3i321−3i321+3i32−3i3i−33−33−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11−3i3i−33−33−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11000000000000000000000000000000000000000
χ9644-4-4-2-2-24-4-2-2-2222222111−1+3i32−1−3i3200-1-1-11−3i321+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i32-22-22-22−2323−232300001-11-11-1−1+3i32−1−3i321−3i321+3i323i−3i3−33−32ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ113i−3i3−33−32ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11000000000000000000000000000000000000000
χ9744-4-4-2-2-2-44-2-2-2222222111−1−3i32−1+3i3200-1-1-11+3i321−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i322-22-22-223−23−23230000-11-11-111+3i321−3i32−1−3i32−1+3i323i−3i−33−33ζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11−3i3i3−33−3−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11000000000000000000000000000000000000000
χ9844-4-4-2-2-2-44-2-2-2222222111−1−3i32−1+3i3200-1-1-11+3i321−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i322-22-22-2−232323−230000-11-11-111+3i321−3i32−1−3i32−1+3i32−3i3i3−33−3−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ113i−3i−33−33ζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11000000000000000000000000000000000000000
χ9944-4-4-2-2-2-44-2-2-2222222111−1+3i32−1−3i3200-1-1-11−3i321+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i322-22-22-223−23−23230000-11-11-111−3i321+3i32−1+3i32−1−3i32−3i3i−33−33−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ113i−3i3−33−32ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11000000000000000000000000000000000000000
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χ1054-44-4-244002-4-4-24-4-442-2-24-2-200-2-24-2-222-42222-4220000000000000000000000000000000000000000000000004-4000000000000000000000-220000000000
χ1064-44-4-244002-4-4-24-4-442-2-24-2-200-2-24-2-222-42222-422000000000000000000000000000000000000000000000000-440000000000000000000002-20000000000
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χ1178-88-8-4-4-400444-4-444-44222−1−3i3−1+3i300222−1−3i3−1+3i3-2-2-21+3i31−3i3-2-2-21+3i31−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1188-88-8-4-4-400444-4-444-44222−1+3i3−1−3i300222−1+3i3−1−3i3-2-2-21−3i31+3i3-2-2-21−3i31+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-8-888-4-400-844-84-4-448-4-42220044-2-2-244-2-2-2-4-422200000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1228-8-88-4-4-40044444-4-44-4222−1−3i3−1+3i300-2-2-21+3i31−3i3-2-2-21+3i31−3i3222−1−3i3−1+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1238-8-88-4-4-40044444-4-44-4222−1+3i3−1−3i300-2-2-21−3i31+3i3-2-2-21−3i31+3i3222−1+3i3−1−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.