Finite Group Databasebeta

← Group #13178275

Character table — Group #13178275

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size111122222222222222444444444444444444444444444444448888888888888888888888888888888888181818181818181818181818181836363636363636363636363636363636363636363672727272
order122222333666666666333334466666666666666666666612121212666666666612121212121212121212121212121212121212121212121222444444441212121244444446612121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-11111-1-1-1-11-11-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-11111-11-11
χ511111111111111111111111-1-1111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-11-11111-1-11111-1-1-1-1-11-11
χ611111111111111111111111-1-1111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-11-1-11-111111-1-1-1-1-1-111111-11-1
χ711111111111111111111111-1-1111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-11-1-11-1-1-1-11111111111-1-1-1-1
χ811111111111111111111111-1-1111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-111-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ91111-1-1111111111111111111-1-1-1-1-1-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-111-111-1-1-1-111-1-111-1-1-1-111
χ101111-1-1111111111111111111-1-1-1-1-1-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1111-1-1111-1-1-1-1-1-111-1-11111-1-1
χ111111-1-1111111111111111111-1-1-1-1-1-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11-11-11-11-1-1111111-1-1-1-111-111-1
χ121111-1-1111111111111111111-1-1-1-1-1-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-11-11-1-1-11111-1-11111-1-11-1-11
χ131111-1-111111111111111111-11-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-111-1-1-11111-1-11111-1-1-1-1111-1-11
χ141111-1-111111111111111111-11-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-11-1111-1-111-1-111-1-11111-1-1-111-1
χ151111-1-111111111111111111-11-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1111111111111-111-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ161111-1-111111111111111111-11-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-11111-1-1-11111-1-111-1-1-1-111-1-111-1-111
χ1722222222-122-1-122-1222-1-1-1-1222222-1-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222220000-1-1-1-12000000-1-1-1-1-1-1000000000000
χ1822222222-122-1-122-1222-1-1-1-1222222-1-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-2-2-200001111-2000000111111000000000000
χ1922222222-122-1-122-1222-1-1-1-1-2-22222-1-12-1-1-1-122-1-1-1-1-1-1-1-1111122-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111-2-2111111112222-2-200001111-2000000-1-1-1-111000000000000
χ2022222222-122-1-122-1222-1-1-1-1-2-22222-1-12-1-1-1-122-1-1-1-1-1-1-1-1111122-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111-2-211111111-2-2-2-2220000-1-1-1-120000001111-1-1000000000000
χ212222222-122-1222-122-1-12-1-1-12222-1-122-12-1-1-1-1-122-1-1-1-1-1-12222-1-122-1-1-1-1-1-12-12-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10000000022000000200220000000000-1-1-1-10-10-1
χ222222222-122-1222-122-1-12-1-1-12222-1-122-12-1-1-1-1-122-1-1-1-1-1-12222-1-122-1-1-1-1-1-12-12-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100000000-2-2000000-200-2-2000000000011110101
χ232222222-122-1222-122-1-12-1-1-1-2-222-1-122-12-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-21-2111-2-211111111-2-21111110000000022000000-200-220000000000-1-1-1-10101
χ242222222-122-1222-122-1-12-1-1-1-2-222-1-122-12-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-21-2111-2-211111111-2-211111100000000-2-20000002002-2000000000011110-10-1
χ25222222-122-1222-122-12-1-12-1-122-1-12222-1-12-1-1-1-1-1-122-1-1-1-12222-1-1-1-122-1-1-1-1-12-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1000000220000000202200000000-1-1-1-10000-10-10
χ26222222-122-1222-122-12-1-12-1-122-1-12222-1-12-1-1-1-1-1-122-1-1-1-12222-1-1-1-122-1-1-1-1-12-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1000000-2-20000000-20-2-200000000111100001010
χ27222222-122-1222-122-12-1-12-1-1-2-2-1-12222-1-12-1-1-1-1-1-122-1-1-1-1-2-2-2-2-1-1-1-122-1-1-1-11-21-21111-2-211111111-2-21111000000220000000-202-200000000-1-1-1-100001010
χ28222222-122-1222-122-12-1-12-1-1-2-2-1-12222-1-12-1-1-1-1-1-122-1-1-1-1-2-2-2-2-1-1-1-122-1-1-1-11-21-21111-2-211111111-2-21111000000-2-2000000020-220000000011110000-10-10
χ292222-2-222-122-1-122-1222-1-1-1-12-2-2-2-2-2112-1-1-1-122-1-1-1-1-1-1-1-111-1-1-2-21111111122-2-222-1-1-1-1-1-1-1-1-2-21111111122-2-2220000-1-1-1-1-2000000-1-11111000000000000
χ302222-2-222-122-1-122-1222-1-1-1-12-2-2-2-2-2112-1-1-1-122-1-1-1-1-1-1-1-111-1-1-2-21111111122-2-222-1-1-1-1-1-1-1-1-2-211111111-2-222-2-200001111200000011-1-1-1-1000000000000
χ312222-2-222-122-1-122-1222-1-1-1-1-22-2-2-2-2112-1-1-1-122-1-1-1-1-1-1-1-1-1-111-2-211111111-2-222-2-21111111122-1-1-1-1-1-1-1-122-2-2-2-2000011112000000-1-111-1-1000000000000
χ322222-2-222-122-1-122-1222-1-1-1-1-22-2-2-2-2112-1-1-1-122-1-1-1-1-1-1-1-1-1-111-2-211111111-2-222-2-21111111122-1-1-1-1-1-1-1-1-2-222220000-1-1-1-1-200000011-1-111000000000000
χ332222-2-22-122-1222-122-1-12-1-1-12-2-2-211-2-2-12-1-1-1-1-122-1-1-1-1-1-1-2-22211-2-21111112-1-21-1-122-1-1-1-1-1-111-2-21111110000000022000000-2002-20000000000-1-111010-1
χ342222-2-22-122-1222-122-1-12-1-1-12-2-2-211-2-2-12-1-1-1-1-122-1-1-1-1-1-1-2-22211-2-21111112-1-21-1-122-1-1-1-1-1-111-2-211111100000000-2-2000000200-22000000000011-1-10-101
χ352222-2-22-122-1222-122-1-12-1-1-1-22-2-211-2-2-12-1-1-1-1-122-1-1-1-1-1-122-2-211-2-2111111-212-111-2-2111111-1-122-1-1-1-1-1-10000000022000000200-2-20000000000-1-1110-101
χ362222-2-22-122-1222-122-1-12-1-1-1-22-2-211-2-2-12-1-1-1-1-122-1-1-1-1-1-122-2-211-2-2111111-212-111-2-2111111-1-122-1-1-1-1-1-100000000-2-2000000-20022000000000011-1-1010-1
χ372222-2-2-122-1222-122-12-1-12-1-12-211-2-2-2-2-1-12-1-1-1-1-1-122-1-1-1-1-2-2221111-2-21111-121-2-1-1-1-122-1-1-1-11111-2-21111000000220000000-20-2200000000-1-111000010-10
χ382222-2-2-122-1222-122-12-1-12-1-12-211-2-2-2-2-1-12-1-1-1-1-1-122-1-1-1-1-2-2221111-2-21111-121-2-1-1-1-122-1-1-1-11111-2-21111000000-2-20000000202-20000000011-1-10000-1010
χ392222-2-2-122-1222-122-12-1-12-1-1-2211-2-2-2-2-1-12-1-1-1-1-1-122-1-1-1-122-2-21111-2-211111-2-121111-2-21111-1-1-1-122-1-1-1-100000022000000020-2-200000000-1-1110000-1010
χ402222-2-2-122-1222-122-12-1-12-1-1-2211-2-2-2-2-1-12-1-1-1-1-1-122-1-1-1-122-2-21111-2-211111-2-121111-2-21111-1-1-1-122-1-1-1-1000000-2-20000000-20220000000011-1-1000010-10
χ4122-2-22-222222-22-2-2-2-2-222222002-22-22-222222-2-2-2-2-2-2-2-2-2-200002-22-22-222-2-20000000000000000000000002-22-2000000000000000002-22-200000000000000
χ4222-2-22-222222-22-2-2-2-2-222222002-22-22-222222-2-2-2-2-2-2-2-2-2-200002-22-22-222-2-2000000000000000000000000-22-2200000000000000000-22-2200000000000000
χ4322-2-22-222-1221-1-2-21-2-22-1-1-1-1002-22-2-112-1-1-1-1-2-2111111113−33−32-2-11-11-1-1110000003−33−333−3−3003−33−333−3−32-22-200000033−3−30000000-11-113−3000000000000
χ4422-2-22-222-1221-1-2-21-2-22-1-1-1-1002-22-2-112-1-1-1-1-2-2111111113−33−32-2-11-11-1-1110000003−33−333−3−3003−33−333−3−3-22-22000000−3−33300000001-11-1−33000000000000
χ4522-2-22-222-1221-1-2-21-2-22-1-1-1-1002-22-2-112-1-1-1-1-2-211111111−33−332-2-11-11-1-111000000−33−33−3−33300−33−33−3−3332-22-2000000−3−3330000000-11-11−33000000000000
χ4622-2-22-222-1221-1-2-21-2-22-1-1-1-1002-22-2-112-1-1-1-1-2-211111111−33−332-2-11-11-1-111000000−33−33−3−33300−33−33−3−333-22-2200000033−3−300000001-11-13−3000000000000
χ4722-2-2-2222222-22-2-2-2-2-22222200-22-22-2222222-2-2-2-2-2-2-2-2-2-20000-22-22-22-2-2220000000000000000000000002-2-22000000000000000002-2-2200000000000000
χ4822-2-2-2222222-22-2-2-2-2-22222200-22-22-2222222-2-2-2-2-2-2-2-2-2-20000-22-22-22-2-222000000000000000000000000-222-200000000000000000-222-200000000000000
χ4922-2-2-2222-1221-1-2-21-2-22-1-1-1-100-22-221-12-1-1-1-1-2-2111111113−3−33-221-11-111-1-1000000−33−33−3−333003−33−333−3−32-2-22000000−3−3330000000-111-13−3000000000000
χ5022-2-2-2222-1221-1-2-21-2-22-1-1-1-100-22-221-12-1-1-1-1-2-2111111113−3−33-221-11-111-1-1000000−33−33−3−333003−33−333−3−3-222-200000033−3−300000001-1-11−33000000000000
χ5122-2-2-2222-1221-1-2-21-2-22-1-1-1-100-22-221-12-1-1-1-1-2-211111111−333−3-221-11-111-1-10000003−33−333−3−300−33−33−3−3332-2-2200000033−3−30000000-111-1−33000000000000
χ5222-2-2-2222-1221-1-2-21-2-22-1-1-1-100-22-221-12-1-1-1-1-2-211111111−333−3-221-11-111-1-10000003−33−333−3−300−33−33−3−333-222-2000000−3−33300000001-1-113−3000000000000
χ532-22-200222-2-2-2-2222-2-22222200000000-2-2-2-2-22-22-22-222-2-20000000000000000000000000000000000000000002-22i−2i2i−2i2-22-200000000000002i−2i002i−2i000000
χ542-22-200222-2-2-2-2222-2-22222200000000-2-2-2-2-22-22-22-222-2-20000000000000000000000000000000000000000002-2−2i2i−2i2i2-22-20000000000000−2i2i00−2i2i000000
χ552-22-200222-2-2-2-2222-2-22222200000000-2-2-2-2-22-22-22-222-2-2000000000000000000000000000000000000000000-222i−2i−2i2i-22-2200000000000002i−2i00−2i2i000000
χ562-22-200222-2-2-2-2222-2-22222200000000-2-2-2-2-22-22-22-222-2-2000000000000000000000000000000000000000000-22−2i2i2i−2i-22-220000000000000−2i2i002i−2i000000
χ574444444-2-24-2-2-24-2-24-2-2-21114444-2-2-2-2-2-2111-2-2-2-2111111-2-2-2-2-2-2-2-21111114-24-2-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000000000000
χ584444444-2-24-2-2-24-2-24-2-2-2111-4-444-2-2-2-2-2-2111-2-2-2-21111112222-2-2-2-2111111-42-422222-1-1-1-1-1-12222-1-1-1-1-1-1000000000000000000000000000000000000000
χ59444444-24-2-24-2-2-24-2-24-21-21144-2-244-2-2-21-211-2-211-2-21111-2-2-2-2-2-211-2-21111-24-24-2-211-2-21111-2-211-2-21111000000000000000000000000000000000000000
χ60444444-24-2-24-2-2-24-2-24-21-211-4-4-2-244-2-2-21-211-2-211-2-211112222-2-211-2-211112-42-422-1-122-1-1-1-122-1-122-1-1-1-1000000000000000000000000000000000000000
χ61444444-2-24-2-244-2-24-2-21-2-21144-2-2-2-2441-2-21111-2-2-2-21111444411-2-2-2-21111-2-2-2-211-2-2-2-2111111-2-2-2-21111000000000000000000000000000000000000000
χ62444444-2-24-2-244-2-24-2-21-2-211-4-4-2-2-2-2441-2-21111-2-2-2-21111-4-4-4-411-2-2-2-211112222-1-12222-1-1-1-1-1-12222-1-1-1-1000000000000000000000000000000000000000
χ63444444-2-2-2-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i3244-2-2-2-2-2-2111−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32-2-2-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32-2-2-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000000000000000
χ64444444-2-2-2-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32-4-4-2-2-2-2-2-2111−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i322222111111−1−3i32−1+3i32−1−3i32−1+3i322222-1-1-1-1-1-11+3i321−3i321+3i321−3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000000000000000
χ65444444-2-2-2-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i3244-2-2-2-2-2-2111−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32-2-2-2-2111111−1+3i32−1−3i32−1+3i32−1−3i32-2-2-2-2111111−1+3i32−1−3i32−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000000000
χ66444444-2-2-2-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32-4-4-2-2-2-2-2-2111−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i322222111111−1+3i32−1−3i32−1+3i32−1−3i322222-1-1-1-1-1-11−3i321+3i321−3i321+3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32000000000000000000000000000000000000000
χ674444-4-44-2-24-2-2-24-2-24-2-2-21114-4-4-42222-2-2111-2-2-2-211111122-2-22222-1-1-1-1-1-14-2-42-2-2-2-21111112222-1-1-1-1-1-1000000000000000000000000000000000000000
χ684444-4-44-2-24-2-2-24-2-24-2-2-2111-44-4-42222-2-2111-2-2-2-2111111-2-2222222-1-1-1-1-1-1-424-22222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000000000
χ694444-4-4-24-2-24-2-2-24-2-24-21-2114-422-4-422-21-211-2-211-2-2111122-2-222-1-122-1-1-1-1-242-4-2-211-2-2111122-1-122-1-1-1-1000000000000000000000000000000000000000
χ704444-4-4-24-2-24-2-2-24-2-24-21-211-4422-4-422-21-211-2-211-2-21111-2-22222-1-122-1-1-1-12-4-2422-1-122-1-1-1-1-2-211-2-21111000000000000000000000000000000000000000
χ714444-4-4-2-24-2-244-2-24-2-21-2-2114-42222-4-41-2-21111-2-2-2-21111-4-444-1-12222-1-1-1-1-2-22211-2-2-2-21111-1-12222-1-1-1-1000000000000000000000000000000000000000
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χ7844-4-44-44-2-24-22-2-422-42-2-2111004-4-22-22-2-21112222-1-1-1-1-1-123−2323−23-22-221-111-1-100000023−23−33−3−3330023−23−33−3−333000000000000000000000000000000000000000
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χ8244-4-44-4-24-2-242-22-422-4-21-21100-224-4-22-21-21122-1-122-1-1-1-1−2323−2323-221-1-2211-1-10000003−3−232333−3−3003−3−232333−3−3000000000000000000000000000000000000000
χ8344-4-44-4-2-24-2-2-4422-4221-2-21100-22-224-41-2-211-1-12222-1-1-1-100001-1-22-2211-1-100003i−3i00003i−3i−3i3i3i−3i00003i−3i−3i3i000000000000000000000000000000000000000
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χ8544-4-44-4-2-2-2-2-22-222222111−1−3i32−1+3i3200-22-22-22111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i3223−2323−231-11-11-1−1−3i32−1+3i321+3i321−3i3200003i−3i−33−33ζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ113i−3i−33−33ζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11000000000000000000000000000000000000000
χ8644-4-44-4-2-2-2-2-22-222222111−1−3i32−1+3i3200-22-22-22111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32−2323−23231-11-11-1−1−3i32−1+3i321+3i321−3i320000−3i3i3−33−3−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11−3i3i3−33−3−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11000000000000000000000000000000000000000
χ8744-4-44-4-2-2-2-2-22-222222111−1+3i32−1−3i3200-22-22-22111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i3223−2323−231-11-11-1−1+3i32−1−3i321−3i321+3i320000−3i3i−33−33−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11−3i3i−33−33−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11000000000000000000000000000000000000000
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χ8944-4-4-444-244-2-44-42-4-42-24-2-2-200-442-2-44-24-2-2-222-4-422222200002-2-442-222-2-2000000000000000000000000000000000000000000000000000000000000000
χ9044-4-4-444-2-24-22-2-422-42-2-211100-442-22-2-2-21112222-1-1-1-1-1-123−23−23232-22-2-11-1-111000000−23233−333−3−30023−23−33−3−333000000000000000000000000000000000000000
χ9144-4-4-444-2-24-22-2-422-42-2-211100-442-22-2-2-21112222-1-1-1-1-1-1−232323−232-22-2-11-1-11100000023−23−33−3−33300−23233−333−3−3000000000000000000000000000000000000000
χ9244-4-4-44-244-24-442-4-42-4-2-24-2-2002-2-44-44-2-24-2-22222-4-4222200002-22-2-4422-2-2000000000000000000000000000000000000000000000000000000000000000
χ9344-4-4-44-24-2-242-22-422-4-21-211002-2-442-2-21-21122-1-122-1-1-1-123−23−23232-2-112-2-1-1110000003−3−232333−3−300−3323−23−3−333000000000000000000000000000000000000000
χ9444-4-4-44-24-2-242-22-422-4-21-211002-2-442-2-21-21122-1-122-1-1-1-1−232323−232-2-112-2-1-111000000−3323−23−3−333003−3−232333−3−3000000000000000000000000000000000000000
χ9544-4-4-44-2-24-2-2-4422-4221-2-211002-22-2-441-2-211-1-12222-1-1-1-10000-112-22-2-1-11100003i−3i00003i−3i−3i3i−3i3i0000−3i3i3i−3i000000000000000000000000000000000000000
χ9644-4-4-44-2-24-2-2-4422-4221-2-211002-22-2-441-2-211-1-12222-1-1-1-10000-112-22-2-1-1110000−3i3i0000−3i3i3i−3i3i−3i00003i−3i−3i3i000000000000000000000000000000000000000
χ9744-4-4-44-2-2-2-2-22-222222111−1−3i32−1+3i32002-22-22-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i3223−23−2323-11-11-111+3i321−3i32−1−3i32−1+3i320000−3i3i3−33−3−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ113i−3i−33−33ζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11000000000000000000000000000000000000000
χ9844-4-4-44-2-2-2-2-22-222222111−1−3i32−1+3i32002-22-22-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32−232323−23-11-11-111+3i321−3i32−1−3i32−1+3i3200003i−3i−33−33ζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11−3i3i3−33−3−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11000000000000000000000000000000000000000
χ9944-4-4-44-2-2-2-2-22-222222111−1+3i32−1−3i32002-22-22-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i3223−23−2323-11-11-111−3i321+3i32−1+3i32−1−3i3200003i−3i3−33−32ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11−3i3i−33−33−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11000000000000000000000000000000000000000
χ10044-4-4-44-2-2-2-2-22-222222111−1+3i32−1−3i32002-22-22-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32−232323−23-11-11-111−3i321+3i32−1+3i32−1−3i320000−3i3i−33−33−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ113i−3i3−33−32ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11000000000000000000000000000000000000000
χ1014-44-40044-2-4-42244-2-4-44-2-2-2-200000000-422224-4-22-22-2-2220000000000000000000000000000000000000000004-40000-22-220000000000000000000000000
χ1024-44-40044-2-4-42244-2-4-44-2-2-2-200000000-422224-4-22-22-2-222000000000000000000000000000000000000000000-4400002-22-20000000000000000000000000
χ1034-44-4004-24-42-4-44-24-42-24-2-2-2000000002-4222-224-4-22-2-22200000000000000000000000000000000000000000000004i−4i000000000000000000000−2i2i000000
χ1044-44-4004-24-42-4-44-24-42-24-2-2-2000000002-4222-224-4-22-2-2220000000000000000000000000000000000000000000000−4i4i0000000000000000000002i−2i000000
χ1054-44-400-2442-4-4-4-2442-4-2-24-2-20000000022-422-22-224-4-2-222000000000000000000000000000000000000000000004i−4i0000000000000000000−2i2i0000000000
χ1064-44-400-2442-4-4-4-2442-4-2-24-2-20000000022-422-22-224-4-2-22200000000000000000000000000000000000000000000−4i4i00000000000000000002i−2i0000000000
χ1074-4-4400444-4-44-4-4-4-4444444400000000-4-4-4-4-4-44-44-44-4-44400000000000000000000000000000000000000000000000000000000000000000000000000000
χ1084-4-440044-2-4-4-22-4-42444-2-2-2-200000000-42222-442-22-222-2-200000000000000000000000000000000000000000000000023−23−23230000000000000000000000000
χ1094-4-440044-2-4-4-22-4-42444-2-2-2-200000000-42222-442-22-222-2-2000000000000000000000000000000000000000000000000−232323−230000000000000000000000000
χ1104-4-44004-24-424-4-42-44-2-24-2-2-2000000002-42222-2-442-222-2-200000000000000000000000000000000000000000000000000000000000000000000000−2i32i30000
χ1114-4-44004-24-424-4-42-44-2-24-2-2-2000000002-42222-2-442-222-2-2000000000000000000000000000000000000000000000000000000000000000000000002i3−2i30000
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χ1134-4-4400-2442-44-42-4-4-24-2-24-2-20000000022-4222-22-2-4422-2-200000000000000000000000000000000000000000000000000000000000000000002i3−2i300000000
χ1148-88-8008-4-4-84448-4-4-84-4-42220000000044-2-2-2-44-442-222-2-200000000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-88-800-48-44-844-48-44-8-42-422000000004-24-2-2-442-2-4422-2-200000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1178-88-800-4-4-44444-4-4-444222−1−3i3−1+3i300000000-2-2-21+3i31−3i32-22-22-2−1−3i3−1+3i31+3i31−3i300000000000000000000000000000000000000000000000000000000000000000000000000000
χ1188-88-800-4-4-44444-4-4-444222−1+3i3−1−3i300000000-2-2-21−3i31+3i32-22-22-2−1+3i3−1−3i31−3i31+3i300000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-8-88008-4-4-84-44-8448-4-4-42220000000044-2-2-24-44-4-22-2-22200000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-8-8800-48-44-8-444-84-48-42-422000000004-24-2-24-4-224-4-2-22200000000000000000000000000000000000000000000000000000000000000000000000000000
χ1218-8-8800-4-48448-844-8-4-42-4-42200000000-244-2-2-224-44-4-2-22200000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-8-8800-4-4-444-44444-4-4222−1−3i3−1+3i300000000-2-2-21+3i31−3i3-22-22-221+3i31−3i3−1−3i3−1+3i300000000000000000000000000000000000000000000000000000000000000000000000000000
χ1238-8-8800-4-4-444-44444-4-4222−1+3i3−1−3i300000000-2-2-21−3i31+3i3-22-22-221−3i31+3i3−1+3i3−1−3i300000000000000000000000000000000000000000000000000000000000000000000000000000

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