Finite Group Databasebeta

← Group #13178309

Character table — Group #13178309

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size111122222222222222444444444444444444444444444444448888888888888888888888888888888888181818181818181818181818181836363636363636363636363636363636363636363672727272
order1222333446666666663333344666666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121222224444441212121222444446666666612121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-111-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-11-1-1-111-1-111-1-1-1-1-1-1-1-111-1-111
χ511111111111111111111111-1-111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11-1-1-1-11111-1-11111-1-111-1-1-1-111
χ611111111111111111111111-1-111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-11-111-1-1-1-1111111-1-1-1-11111-1-1
χ711111111111111111111111-1-111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ811111111111111111111111-1-111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111-1-1-1-1-1-1-1-111-1-1-1-11111
χ91111111-1-1111111111111111-1111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-11-11-1-1-1-1-111-1-1-1-111111-11-1
χ101111111-1-1111111111111111-1111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-11-11111111-1-1-1-1-1-1-1-1-11-11
χ111111111-1-1111111111111111-1111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1111-1-11-1-111-1-1111111-1-11-1-11
χ121111111-1-1111111111111111-1111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11-11-111-111-1-1-1-11111-1-111-111-1
χ131111111-1-111111111111111-11111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-111-111-1-1-11111-1-11111-1-1-111-1
χ141111111-1-111111111111111-11111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-11-111-1-1111-1-111-1-111-1-1111-1-11
χ151111111-1-111111111111111-11111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111111111111-1-1-1-11-11-1-1-1-1-1-111-1-11111-11-11
χ161111111-1-111111111111111-11111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1111111-11-11-11111-1-111-1-1-1-1-1-11-11-1
χ17222222-12222-122-1-1222-1-1-1-1222-1-1-1-12-1-1-1-12-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222220000-1-1-1-100200000000-1-1-1-1-1-100000000
χ18222222-12222-122-1-1222-1-1-1-1222-1-1-1-12-1-1-1-12-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-2-2-20000111100-20000000011111100000000
χ19222222-12222-122-1-1222-1-1-1-1-2-22-1-1-1-12-1-1-1-12-1-1-1-1-1-111112222-2-2-2-222-1-1-1-1-1-1-1-1-2-211111111-2-2111111112222-2-20000111100-200000000-1-1-1-11100000000
χ20222222-12222-122-1-1222-1-1-1-1-2-22-1-1-1-12-1-1-1-12-1-1-1-1-1-111112222-2-2-2-222-1-1-1-1-1-1-1-1-2-211111111-2-211111111-2-2-2-2220000-1-1-1-1002000000001111-1-100000000
χ21222222-1-2-222-122-1-1222-1-1-1-12-22-1-1-1-12-1-1-1-12-1-1-1-111-1-111-2-2-2-222-2-2-2-21111111122-1-1-1-1-1-1-1-1-2-21111111122-2-2220000-1-1-1-100-200000000-1-1111100000000
χ22222222-1-2-222-122-1-1222-1-1-1-12-22-1-1-1-12-1-1-1-12-1-1-1-111-1-111-2-2-2-222-2-2-2-21111111122-1-1-1-1-1-1-1-1-2-211111111-2-222-2-2000011110020000000011-1-1-1-100000000
χ23222222-1-2-222-122-1-1222-1-1-1-1-222-1-1-1-12-1-1-1-12-1-1-1-11111-1-1-2-2-2-2-2-222-2-211111111-2-21111111122-1-1-1-1-1-1-1-122-2-2-2-20000111100200000000-1-111-1-100000000
χ24222222-1-2-222-122-1-1222-1-1-1-1-222-1-1-1-12-1-1-1-12-1-1-1-11111-1-1-2-2-2-2-2-222-2-211111111-2-21111111122-1-1-1-1-1-1-1-1-2-222220000-1-1-1-100-20000000011-1-11100000000
χ2522222-12222-122-1222-1-12-1-1-122-12-1-1-1-12-1-1-1-12-1-1-122222222-1-12-12-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100000000220000020002200-1-100000000-1-100-1-1
χ2622222-12222-122-1222-1-12-1-1-122-12-1-1-1-12-1-1-1-12-1-1-122222222-1-12-12-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100000000-2-200000-2000-2-2001100000000110011
χ2722222-12222-122-1222-1-12-1-1-1-2-2-12-1-1-1-12-1-1-1-12-1-1-122-2-2-2-222-1-1-21-21-1-122-1-1-1-1-1-111-2-211111111-2-21111110000000022000002000-2-200-1-100000000-1-10011
χ2822222-12222-122-1222-1-12-1-1-1-2-2-12-1-1-1-12-1-1-1-12-1-1-122-2-2-2-222-1-1-21-21-1-122-1-1-1-1-1-111-2-211111111-2-211111100000000-2-200000-2000220011000000001100-1-1
χ2922222-12-2-22-122-1222-1-12-1-1-12-2-12-1-1-1-12-1-1-1-12-1-1-1-2-222-2-2-2-2112-1-2111-2-2111111-1-122-1-1-1-1-1-111-2-2111111000000002200000-20002-2001100000000-1-100-11
χ3022222-12-2-22-122-1222-1-12-1-1-12-2-12-1-1-1-12-1-1-1-12-1-1-1-2-222-2-2-2-2112-1-2111-2-2111111-1-122-1-1-1-1-1-111-2-211111100000000-2-2000002000-2200-1-10000000011001-1
χ3122222-12-2-22-122-1222-1-12-1-1-1-22-12-1-1-1-12-1-1-1-12-1-1-1-2-2-2-222-2-211-212-111-2-211111111-2-2111111-1-122-1-1-1-1-1-1000000002200000-2000-22001100000000-1-1001-1
χ3222222-12-2-22-122-1222-1-12-1-1-1-22-12-1-1-1-12-1-1-1-12-1-1-1-2-2-2-222-2-211-212-111-2-211111111-2-2111111-1-122-1-1-1-1-1-100000000-2-20000020002-200-1-1000000001100-11
χ332222-12222-122-1222-12-1-12-1-122-1-12-1-1-1-12-1-1-1-12-1-1222222-1-122-12-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1000000220000002002200-1-100000000-1-100-1-100
χ342222-12222-122-1222-12-1-12-1-122-1-12-1-1-1-12-1-1-1-12-1-1222222-1-122-12-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1000000-2-2000000-200-2-200110000000011001100
χ352222-12222-122-1222-12-1-12-1-1-2-2-1-12-1-1-1-12-1-1-1-12-1-122-2-2-2-2-1-1221-21-2-1-1-1-122-1-1-1-11111-2-211111111-2-2111100000022000000200-2-200-1-100000000-1-1001100
χ362222-12222-122-1222-12-1-12-1-1-2-2-1-12-1-1-1-12-1-1-1-12-1-122-2-2-2-2-1-1221-21-2-1-1-1-122-1-1-1-11111-2-211111111-2-21111000000-2-2000000-200220011000000001100-1-100
χ372222-122-2-2-122-1222-12-1-12-1-12-2-1-12-1-1-1-12-1-1-1-12-1-1-2-222-2-211-2-2-121-21111-2-21111-1-1-1-122-1-1-1-11111-2-2111100000022000000-2002-2001100000000-1-100-1100
χ382222-122-2-2-122-1222-12-1-12-1-12-2-1-12-1-1-1-12-1-1-1-12-1-1-2-222-2-211-2-2-121-21111-2-21111-1-1-1-122-1-1-1-11111-2-21111000000-2-2000000200-2200-1-10000000011001-100
χ392222-122-2-2-122-1222-12-1-12-1-1-22-1-12-1-1-1-12-1-1-1-12-1-1-2-2-2-22211-2-21-2-121111-2-211111111-2-21111-1-1-1-122-1-1-1-100000022000000-200-22001100000000-1-1001-100
χ402222-122-2-2-122-1222-12-1-12-1-1-22-1-12-1-1-1-12-1-1-1-12-1-1-2-2-2-22211-2-21-2-121111-2-211111111-2-21111-1-1-1-122-1-1-1-1000000-2-20000002002-200-1-1000000001100-1100
χ412-22-222200-2-2-222-22-2-22222200-2-2-2-2-2-2-2-2-2-2222220000000000000000000000000000000000000000000000002-22i−2i2i−2i22-2-2000000000000000002i−2i2i−2i0000
χ422-22-222200-2-2-222-22-2-22222200-2-2-2-2-2-2-2-2-2-2222220000000000000000000000000000000000000000000000002-2−2i2i−2i2i22-2-200000000000000000−2i2i−2i2i0000
χ432-22-222200-2-2-222-22-2-22222200-2-2-2-2-2-2-2-2-2-222222000000000000000000000000000000000000000000000000-222i−2i−2i2i-2-222000000000000000002i−2i−2i2i0000
χ442-22-222200-2-2-222-22-2-22222200-2-2-2-2-2-2-2-2-2-222222000000000000000000000000000000000000000000000000-22−2i2i2i−2i-2-22200000000000000000−2i2i2i−2i0000
χ452-2-222222-2-2-22-2-2-2-2222222200-2-2-2-2-222222-2-2-2-2-22-200002-22-200002-22-22-222-2-2000000000000000000002-22-20000000000000000000002-22-20000000000
χ462-2-222222-2-2-22-2-2-2-2222222200-2-2-2-2-222222-2-2-2-2-22-200002-22-200002-22-22-222-2-200000000000000000000-22-22000000000000000000000-22-220000000000
χ472-2-22222-22-2-22-2-2-2-2222222200-2-2-2-2-222222-2-2-2-2-2-220000-22-220000-22-22-22-2-222000000000000000000002-2-220000000000000000000002-2-220000000000
χ482-2-22222-22-2-22-2-2-2-2222222200-2-2-2-2-222222-2-2-2-2-2-220000-22-220000-22-22-22-2-22200000000000000000000-222-2000000000000000000000-222-20000000000
χ492-2-2222-12-2-2-2-1-2-211222-1-1-1-100-211112-1-1-1-1-21111-113−33−32-22-200002-2-11-11-1-111003−33−333−3−3003−33−333−3−32-22-20000003−33−300000000000-11-113−300000000
χ502-2-2222-12-2-2-2-1-2-211222-1-1-1-100-211112-1-1-1-1-21111-113−33−32-22-200002-2-11-11-1-111003−33−333−3−3003−33−333−3−3-22-22000000−33−33000000000001-11-1−3300000000
χ512-2-2222-12-2-2-2-1-2-211222-1-1-1-100-211112-1-1-1-1-21111-11−33−332-22-200002-2-11-11-1-11100−33−33−3−33300−33−33−3−3332-22-2000000−33−3300000000000-11-11−3300000000
χ522-2-2222-12-2-2-2-1-2-211222-1-1-1-100-211112-1-1-1-1-21111-11−33−332-22-200002-2-11-11-1-11100−33−33−3−33300−33−33−3−333-22-220000003−33−3000000000001-11-13−300000000
χ532-2-2222-1-22-2-2-1-2-211222-1-1-1-100-211112-1-1-1-1-211111-13−3−33-22-220000-221-11-111-1-1003−33−333−3−300−33−33−3−3332-2-220000003−33−300000000000-111-1−3300000000
χ542-2-2222-1-22-2-2-1-2-211222-1-1-1-100-211112-1-1-1-1-211111-13−3−33-22-220000-221-11-111-1-1003−33−333−3−300−33−33−3−333-222-2000000−33−33000000000001-1-113−300000000
χ552-2-2222-1-22-2-2-1-2-211222-1-1-1-100-211112-1-1-1-1-211111-1−333−3-22-220000-221-11-111-1-100−33−33−3−333003−33−333−3−32-2-22000000−33−3300000000000-111-13−300000000
χ562-2-2222-1-22-2-2-1-2-211222-1-1-1-100-211112-1-1-1-1-211111-1−333−3-22-220000-221-11-111-1-100−33−33−3−333003−33−333−3−3-222-20000003−33−3000000000001-1-11−3300000000
χ5744444-2-2444-2-24-2-2-24-2-2-211144-2-2111-2-2111-2-2111-2-2-2-2-2-244-2-24-24-2-2-2-2-2111111-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000000000000
χ5844444-2-2444-2-24-2-2-24-2-2-2111-4-4-2-2111-2-2111-2-2111-2-2222244-2-2-42-42-2-2-2-21111112222-1-1-1-1-1-12222-1-1-1-1-1-1000000000000000000000000000000000000000
χ5944444-2-2-4-44-2-24-2-2-24-2-2-21114-4-2-2111-2-2111-2-211122-2-222-4-4224-2-422222-1-1-1-1-1-1-2-2-2-21111112222-1-1-1-1-1-1000000000000000000000000000000000000000
χ6044444-2-2-4-44-2-24-2-2-24-2-2-2111-44-2-2111-2-2111-2-21112222-2-2-4-422-424-22222-1-1-1-1-1-12222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000000000
χ614444-24-244-24-2-24-2-2-24-21-21144-21-211-21-211-21-211-2-2-2-2-2-2-2-244-24-24-2-211-2-21111-2-211-2-21111-2-211-2-21111000000000000000000000000000000000000000
χ624444-24-244-24-2-24-2-2-24-21-211-4-4-21-211-21-211-21-211-2-22222-2-2442-42-4-2-211-2-2111122-1-122-1-1-1-122-1-122-1-1-1-1000000000000000000000000000000000000000
χ634444-24-2-4-4-24-2-24-2-2-24-21-2114-4-21-211-21-211-21-21122-2-22222-4-4-242-422-1-122-1-1-1-1-2-211-2-2111122-1-122-1-1-1-1000000000000000000000000000000000000000
χ644444-24-2-4-4-24-2-24-2-2-24-21-211-44-21-211-21-211-21-2112222-2-222-4-42-4-2422-1-122-1-1-1-122-1-122-1-1-1-1-2-211-2-21111000000000000000000000000000000000000000
χ654444-2-2444-2-24-2-244-2-21-2-211441-2-2111-2-2111-2-211444444-2-2-2-2-2-2-2-211-2-2-2-2111111-2-2-2-2111111-2-2-2-21111000000000000000000000000000000000000000
χ664444-2-2444-2-24-2-244-2-21-2-211-4-41-2-2111-2-2111-2-21144-4-4-4-4-2-2-2-2222211-2-2-2-21111-1-12222-1-1-1-1-1-12222-1-1-1-1000000000000000000000000000000000000000
χ674444-2-24-4-4-2-24-2-244-2-21-2-2114-41-2-2111-2-2111-2-211-4-444-4-42222-2-222-1-12222-1-1-1-111-2-2-2-21111-1-12222-1-1-1-1000000000000000000000000000000000000000
χ684444-2-24-4-4-2-24-2-244-2-21-2-211-441-2-2111-2-2111-2-211-4-4-4-444222222-2-2-1-12222-1-1-1-1-1-12222-1-1-1-111-2-2-2-21111000000000000000000000000000000000000000
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+3i32-2-22222-2-2-2-22222111111−1−3i32−1+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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χ734444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i324-4111−1−3i32−1+3i32111−1−3i32−1+3i32111−1−3i32−1+3i3222-2-2222222-2-222-1-1-1-1-1-11+3i321−3i321+3i321−3i32111111−1−3i32−1+3i32−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000000000000000
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χ924-4-444-2-24-4-42-2-42224-2-2-21110022-1-1-1-2-211122-1-1-1-2223−2323−234-4-220000-22-221-111-1-10023−23−33−3−3330023−23−33−3−333000000000000000000000000000000000000000
χ934-4-444-2-24-4-42-2-42224-2-2-21110022-1-1-1-2-211122-1-1-1-22−2323−23234-4-220000-22-221-111-1-100−23233−333−3−300−23233−333−3−3000000000000000000000000000000000000000
χ944-4-444-2-2-44-42-2-42224-2-2-21110022-1-1-1-2-211122-1-1-12-223−23−2323-442-200002-22-2-11-1-1110023−23−33−3−33300−23233−333−3−3000000000000000000000000000000000000000
χ954-4-444-2-2-44-42-2-42224-2-2-21110022-1-1-1-2-211122-1-1-12-2−232323−23-442-200002-22-2-11-1-11100−23233−333−3−30023−23−33−3−333000000000000000000000000000000000000000
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χ984-4-44-24-24-42-4-22-422-24-21-211002-12-1-1-21-2112-12-1-1-2223−2323−23-224-40000-221-1-2211-1-100−3323−23−3−33300−3323−23−3−333000000000000000000000000000000000000000
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χ1004-4-44-24-2-442-4-22-422-24-21-211002-12-1-1-21-2112-12-1-12-223−23−23232-2-4400002-2-112-2-1-11100−3323−23−3−333003−3−232333−3−3000000000000000000000000000000000000000
χ1014-4-44-24-2-442-4-22-422-24-21-211002-12-1-1-21-2112-12-1-12-2−232323−232-2-4400002-2-112-2-1-111003−3−232333−3−300−3323−23−3−333000000000000000000000000000000000000000
χ1024-4-44-2-244-422422-4-4-2-21-2-21100-122-1-11-2-211-122-1-14-40000-22-2200001-1-22-2211-1-13i−3i00003i−3i−3i3i3i−3i00003i−3i−3i3i000000000000000000000000000000000000000
χ1034-4-44-2-244-422422-4-4-2-21-2-21100-122-1-11-2-211-122-1-14-40000-22-2200001-1-22-2211-1-1−3i3i0000−3i3i3i−3i−3i3i0000−3i3i3i−3i000000000000000000000000000000000000000
χ1044-4-44-2-24-4422422-4-4-2-21-2-21100-122-1-11-2-211-122-1-1-4400002-22-20000-112-22-2-1-1113i−3i00003i−3i−3i3i−3i3i0000−3i3i3i−3i000000000000000000000000000000000000000
χ1054-4-44-2-24-4422422-4-4-2-21-2-21100-122-1-11-2-211-122-1-1-4400002-22-20000-112-22-2-1-111−3i3i0000−3i3i3i−3i3i−3i00003i−3i−3i3i000000000000000000000000000000000000000
χ1064-4-44-2-2-24-422-22222-2-2111−1−3i32−1+3i3200-1-1-11+3i321−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i32-2223−2323−23-22-2200001-11-11-1−1−3i32−1+3i321+3i321−3i323i−3i−33−33ζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ113i−3i−33−33ζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11000000000000000000000000000000000000000
χ1074-4-44-2-2-24-422-22222-2-2111−1−3i32−1+3i3200-1-1-11+3i321−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i32-22−2323−2323-22-2200001-11-11-1−1−3i32−1+3i321+3i321−3i32−3i3i3−33−3−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11−3i3i3−33−3−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11000000000000000000000000000000000000000
χ1084-4-44-2-2-24-422-22222-2-2111−1+3i32−1−3i3200-1-1-11−3i321+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i32-2223−2323−23-22-2200001-11-11-1−1+3i32−1−3i321−3i321+3i32−3i3i−33−33−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11−3i3i−33−33−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11000000000000000000000000000000000000000
χ1094-4-44-2-2-24-422-22222-2-2111−1+3i32−1−3i3200-1-1-11−3i321+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i32-22−2323−2323-22-2200001-11-11-1−1+3i32−1−3i321−3i321+3i323i−3i3−33−32ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ113i−3i3−33−32ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11000000000000000000000000000000000000000
χ1104-4-44-2-2-2-4422-22222-2-2111−1−3i32−1+3i3200-1-1-11+3i321−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i322-223−23−23232-22-20000-11-11-111+3i321−3i32−1−3i32−1+3i323i−3i−33−33ζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11−3i3i3−33−3−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11000000000000000000000000000000000000000
χ1114-4-44-2-2-2-4422-22222-2-2111−1−3i32−1+3i3200-1-1-11+3i321−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i322-2−232323−232-22-20000-11-11-111+3i321−3i32−1−3i32−1+3i32−3i3i3−33−3−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ113i−3i−33−33ζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11000000000000000000000000000000000000000
χ1124-4-44-2-2-2-4422-22222-2-2111−1+3i32−1−3i3200-1-1-11−3i321+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i322-223−23−23232-22-20000-11-11-111−3i321+3i32−1+3i32−1−3i32−3i3i−33−33−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ113i−3i3−33−32ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11000000000000000000000000000000000000000
χ1134-4-44-2-2-2-4422-22222-2-2111−1+3i32−1−3i3200-1-1-11−3i321+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i322-2−232323−232-22-20000-11-11-111−3i321+3i32−1+3i32−1−3i323i−3i3−33−32ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11−3i3i−33−33−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11000000000000000000000000000000000000000
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χ11588-8-8-48-400-4844-8-444-8-42-42200-42-4224-24-2-24-24-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11688-8-8-4-4800-4-4-8448-8442-4-422002-4-422-244-2-2-244-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11788-8-8-4-4-400-4-4444-4444222−1−3i3−1+3i300222−1−3i3−1+3i3-2-2-21+3i31−3i3-2-2-21+3i31−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11888-8-8-4-4-400-4-4444-4444222−1+3i3−1−3i300222−1+3i3−1−3i3-2-2-21−3i31+3i3-2-2-21−3i31+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-88-88-4-400-8448-44-4-84-4-42220044-2-2-244-2-2-2-4-422200000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1218-88-8-4-480044-8-4-4-88442-4-42200-244-2-2-244-2-22-4-42200000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-88-8-4-4-400444-4-44-444222−1−3i3−1+3i300-2-2-21+3i31−3i3-2-2-21+3i31−3i3222−1−3i3−1+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1238-88-8-4-4-400444-4-44-444222−1+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.