Finite Group Databasebeta

← Group #13178272

Character table — Group #13178272

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size111122222222222222444444444444444444444444444444448888888888888888888888888888888888181818181818181818181818181836363636363636363636363636363636363636363672727272
order12223334466666666623333346666666666666666612121212121212126666666666661212121212121212121212121212121212121212121244444444441212121224444446612121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-111-1-111-1-1-1-11-11-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-111-1-111-1-1-11-11
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1
χ5111111111111111111-111111-1-1-1111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111-1-11-11-111-1-111111111-1-1-1-1-1-1
χ6111111111111111111-111111-1-1-1111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-11-1-11111-1-111-1-111-11-11
χ7111111111111111111-111111-1-1-1111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11-1-111-1-1-111-1-111-1-111111-11-1
χ8111111111111111111-111111-1-1-1111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-11-1111-1-1-1-1-1-1-1-1-1-1-1-11111
χ91111111-1-1111111111111111-111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11-11-1-1-1-11111-1-1-1-111-1-111
χ101111111-1-1111111111111111-111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11-11-111-1111111-1-1-1-111-1-1-111-1
χ111111111-1-1111111111111111-111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-11-1-111111-1-11111-1-1-1-11-1-11
χ121111111-1-1111111111111111-111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1111-11-1-1-1-1-1-1-1-1-111111111-1-1
χ131111111-1-1111111111-1111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1111111-111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1
χ141111111-1-1111111111-1111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-111-1-1-11111-1-111-1-1-1-111111-1-11
χ151111111-1-1111111111-1111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-11-1111-1-111-1-1-1-11111-1-111-111-1
χ161111111-1-1111111111-1111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1111111-1-1-11111-1-111-1-1-1-11111-1-1-1-111
χ17222222-122-1-1222222-122-1-1-1-12-1-12-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000222222-1-1-1-12000000-1-1-1-100000000-1-10000
χ18222222-122-1-1222222-122-1-1-1-12-1-12-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000-2-2-2-2-2-21111-2000000111100000000110000
χ19222222-122-1-1222222-1-22-1-1-1-1-2112-1-1-1-122-1-1-1-1-1-1-1-1112222-1-1-2-2-2-211111111-2-222-1-1-1-1-1-1-1-1-2-211111111000022-2-2-2-2-1-1-1-12000000-1-11100000000110000
χ20222222-122-1-1222222-1-22-1-1-1-1-2112-1-1-1-122-1-1-1-1-1-1-1-1112222-1-1-2-2-2-211111111-2-222-1-1-1-1-1-1-1-1-2-2111111110000-2-222221111-200000011-1-100000000-1-10000
χ21222222-1-2-2-1-1222222-122-1-1-1-1-2-1-12-1-1-1-122-1-1-1-1-1-1-1-111-2-2-2-2112222-1-1-1-1-1-1-1-1-2-2-2-211111111-2-21111111100002222-2-2-1-1-1-1-2000000111100000000-1-10000
χ22222222-1-2-2-1-1222222-122-1-1-1-1-2-1-12-1-1-1-122-1-1-1-1-1-1-1-111-2-2-2-2112222-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2111111110000-2-2-2-22211112000000-1-1-1-100000000110000
χ23222222-1-2-2-1-1222222-1-22-1-1-1-12112-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-211-2-2-2-21111111122-2-21111111122-1-1-1-1-1-1-1-1000022-2-222-1-1-1-1-200000011-1-100000000110000
χ24222222-1-2-2-1-1222222-1-22-1-1-1-12112-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-211-2-2-2-21111111122-2-21111111122-1-1-1-1-1-1-1-10000-2-222-2-211112000000-1-11100000000-1-10000
χ2522222-12222222-1-12-122-12-1-1-1222-12-1-1-1-1-122-1-1-1-1-1-12222-1-1222-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1002200000000000020022000000-1-100-1-1000-10-1
χ2622222-12222222-1-12-122-12-1-1-1222-12-1-1-1-1-122-1-1-1-1-1-12222-1-1222-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100-2-2000000000000-200-2-2000000110011000101
χ2722222-12222222-1-12-12-2-12-1-1-1-2-2-2-12-1-1-1-1-122-1-1-1-1-1-1-2-222-1-122-2111-2-2111111-21-1-122-1-1-1-1-1-111-2-21111110022000000000000-2002-2000000-1-100-1-1000101
χ2822222-12222222-1-12-12-2-12-1-1-1-2-2-2-12-1-1-1-1-122-1-1-1-1-1-1-2-222-1-122-2111-2-2111111-21-1-122-1-1-1-1-1-111-2-211111100-2-2000000000000200-22000000110011000-10-1
χ2922222-12-2-22222-1-12-122-12-1-1-1-222-12-1-1-1-1-122-1-1-1-1-1-1-2-2-2-211-2-22-1-1-122-1-1-1-1-1-1-2111-2-211111111-2-21111110022000000000000-200-22000000-1-1001100010-1
χ3022222-12-2-22222-1-12-122-12-1-1-1-222-12-1-1-1-1-122-1-1-1-1-1-1-2-2-2-211-2-22-1-1-122-1-1-1-1-1-1-2111-2-211111111-2-211111100-2-20000000000002002-20000001100-1-1000-101
χ3122222-12-2-22222-1-12-12-2-12-1-1-12-2-2-12-1-1-1-1-122-1-1-1-1-1-122-2-211-2-2-2111-2-21111112-111-2-2111111-1-122-1-1-1-1-1-10022000000000000200-2-2000000-1-10011000-101
χ3222222-12-2-22222-1-12-12-2-12-1-1-12-2-2-12-1-1-1-1-122-1-1-1-1-1-122-2-211-2-2-2111-2-21111112-111-2-2111111-1-122-1-1-1-1-1-100-2-2000000000000-200220000001100-1-100010-1
χ332222-1222222-1-122-1222-1-12-1-1222-1-12-1-1-1-1-1-122-1-1-1-122-1-12222-12-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-12200000000000002022000000-1-100-1-10000-10-10
χ342222-1222222-1-122-1222-1-12-1-1222-1-12-1-1-1-1-1-122-1-1-1-122-1-12222-12-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-2-20000000000000-20-2-200000011001100001010
χ352222-1222222-1-122-122-2-1-12-1-1-2-2-2-1-12-1-1-1-1-1-122-1-1-1-1-2-2-1-122221-21111-2-211111-2-1-1-1-122-1-1-1-11111-2-21111220000000000000-202-2000000-1-100-1-100001010
χ362222-1222222-1-122-122-2-1-12-1-1-2-2-2-1-12-1-1-1-1-1-122-1-1-1-1-2-2-1-122221-21111-2-211111-2-1-1-1-122-1-1-1-11111-2-21111-2-2000000000000020-220000001100110000-10-10
χ372222-122-2-222-1-122-1222-1-12-1-1-222-1-12-1-1-1-1-1-122-1-1-1-1-2-211-2-2-2-2-12-1-1-1-122-1-1-1-11-21111-2-211111111-2-21111220000000000000-20-22000000-1-10011000010-10
χ382222-122-2-222-1-122-1222-1-12-1-1-222-1-12-1-1-1-1-1-122-1-1-1-1-2-211-2-2-2-2-12-1-1-1-122-1-1-1-11-21111-2-211111111-2-21111-2-20000000000000202-20000001100-1-10000-1010
χ392222-122-2-222-1-122-122-2-1-12-1-12-2-2-1-12-1-1-1-1-1-122-1-1-1-12211-2-2-2-21-21111-2-21111-121111-2-21111-1-1-1-122-1-1-1-122000000000000020-2-2000000-1-100110000-1010
χ402222-122-2-222-1-122-122-2-1-12-1-12-2-2-1-12-1-1-1-1-1-122-1-1-1-12211-2-2-2-21-21111-2-21111-121111-2-21111-1-1-1-122-1-1-1-1-2-20000000000000-20220000001100-1-1000010-10
χ412-22-222200-2-22-22-2-2-22022222000-2-2-2-2-22-22-22-222-2-20000000000000000000000000000000000000000002i−2i2i−2i2-2000022-2-2000000000002i−2i2i−2i0000000000
χ422-22-222200-2-22-22-2-2-22022222000-2-2-2-2-22-22-22-222-2-20000000000000000000000000000000000000000002i−2i−2i2i-220000-2-222000000000002i−2i−2i2i0000000000
χ432-22-222200-2-22-22-2-2-22022222000-2-2-2-2-22-22-22-222-2-2000000000000000000000000000000000000000000−2i2i2i−2i-220000-2-22200000000000−2i2i2i−2i0000000000
χ442-22-222200-2-22-22-2-2-22022222000-2-2-2-2-22-22-22-222-2-2000000000000000000000000000000000000000000−2i2i−2i2i2-2000022-2-200000000000−2i2i−2i2i0000000000
χ452-2-222222i−2i-22-2-2-2-222-202222200022222-2-2-2-2-2-2-2-2-2-2002i−2i2i−2i2i−2i000000000000002i−2i2i−2i2i−2i2i2i−2i−2i00000000000000002i−2i2-200000000000002-2000000002i−2i0000
χ462-2-222222i−2i-22-2-2-2-222-202222200022222-2-2-2-2-2-2-2-2-2-2002i−2i2i−2i2i−2i000000000000002i−2i2i−2i2i−2i2i2i−2i−2i0000000000000000−2i2i-220000000000000-2200000000−2i2i0000
χ472-2-22222−2i2i-22-2-2-2-222-202222200022222-2-2-2-2-2-2-2-2-2-200−2i2i−2i2i−2i2i00000000000000−2i2i−2i2i−2i2i−2i−2i2i2i00000000000000002i−2i-220000000000000-22000000002i−2i0000
χ482-2-22222−2i2i-22-2-2-2-222-202222200022222-2-2-2-2-2-2-2-2-2-200−2i2i−2i2i−2i2i00000000000000−2i2i−2i2i−2i2i−2i−2i2i2i0000000000000000−2i2i2-200000000000002-200000000−2i2i0000
χ492-2-2222-12i−2i1-1-2-2-2-222102-1-1-1-10−i3i32-1-1-1-1-2-2111111113−32i−2i2i−2i−ii0000−i3i3−i3i3−i3−i3i3i3002i−2i−ii−ii−i−iii003−33−333−3−30000002i−2i2-23−33−30000000−i3i3-1100000000−ii0000
χ502-2-2222-12i−2i1-1-2-2-2-222102-1-1-1-10−i3i32-1-1-1-1-2-2111111113−32i−2i2i−2i−ii0000−i3i3−i3i3−i3−i3i3i3002i−2i−ii−ii−i−iii003−33−333−3−3000000−2i2i-22−33−330000000i3−i31-100000000i−i0000
χ512-2-2222-12i−2i1-1-2-2-2-222102-1-1-1-10i3−i32-1-1-1-1-2-211111111−332i−2i2i−2i−ii0000i3−i3i3−i3i3i3−i3−i3002i−2i−ii−ii−i−iii00−33−33−3−3330000002i−2i2-2−33−330000000i3−i3-1100000000−ii0000
χ522-2-2222-12i−2i1-1-2-2-2-222102-1-1-1-10i3−i32-1-1-1-1-2-211111111−332i−2i2i−2i−ii0000i3−i3i3−i3i3i3−i3−i3002i−2i−ii−ii−i−iii00−33−33−3−333000000−2i2i-223−33−30000000−i3i31-100000000i−i0000
χ532-2-2222-1−2i2i1-1-2-2-2-222102-1-1-1-10−i3i32-1-1-1-1-2-211111111−33−2i2i−2i2ii−i0000−i3i3−i3i3−i3−i3i3i300−2i2ii−ii−iii−i−i00−33−33−3−3330000002i−2i-223−33−30000000i3−i31-100000000−ii0000
χ542-2-2222-1−2i2i1-1-2-2-2-222102-1-1-1-10−i3i32-1-1-1-1-2-211111111−33−2i2i−2i2ii−i0000−i3i3−i3i3−i3−i3i3i300−2i2ii−ii−iii−i−i00−33−33−3−333000000−2i2i2-2−33−330000000−i3i3-1100000000i−i0000
χ552-2-2222-1−2i2i1-1-2-2-2-222102-1-1-1-10i3−i32-1-1-1-1-2-2111111113−3−2i2i−2i2ii−i0000i3−i3i3−i3i3i3−i3−i300−2i2ii−ii−iii−i−i003−33−333−3−30000002i−2i-22−33−330000000−i3i31-100000000−ii0000
χ562-2-2222-1−2i2i1-1-2-2-2-222102-1-1-1-10i3−i32-1-1-1-1-2-2111111113−3−2i2i−2i2ii−i0000i3−i3i3−i3i3i3−i3−i300−2i2ii−ii−iii−i−i003−33−333−3−3000000−2i2i2-23−33−30000000i3−i3-1100000000i−i0000
χ5744444-2-244-2-244-2-24-2-24-2-21114-2-2-2-2111-2-2-2-2111111-2-244-2-2-2-24-2-2-2-2-21111114-2-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000000000000
χ5844444-2-244-2-244-2-24-2-2-4-2-2111-422-2-2111-2-2-2-21111112244-2-2-2-2-422222-1-1-1-1-1-1-42-2-2-2-21111112222-1-1-1-1-1-1000000000000000000000000000000000000000
χ5944444-2-2-4-4-2-244-2-24-2-24-2-2111-4-2-2-2-2111-2-2-2-211111122-4-422224-2-2-2-2-2111111-422222-1-1-1-1-1-12222-1-1-1-1-1-1000000000000000000000000000000000000000
χ6044444-2-2-4-4-2-244-2-24-2-2-4-2-2111422-2-2111-2-2-2-2111111-2-2-4-42222-422222-1-1-1-1-1-14-22222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000000000
χ614444-24-244-2-2-2-244-24-24-21-2114-2-2-21-211-2-211-2-21111-2-2-2-244-2-2-24-2-211-2-21111-24-2-211-2-21111-2-211-2-21111000000000000000000000000000000000000000
χ624444-24-244-2-2-2-244-24-2-4-21-211-422-21-211-2-211-2-2111122-2-244-2-22-422-1-122-1-1-1-12-4-2-211-2-2111122-1-122-1-1-1-1000000000000000000000000000000000000000
χ634444-24-2-4-4-2-2-2-244-24-24-21-211-4-2-2-21-211-2-211-2-211112222-4-422-24-2-211-2-211112-422-1-122-1-1-1-122-1-122-1-1-1-1000000000000000000000000000000000000000
χ644444-24-2-4-4-2-2-2-244-24-2-4-21-211422-21-211-2-211-2-21111-2-222-4-4222-422-1-122-1-1-1-1-2422-1-122-1-1-1-1-2-211-2-21111000000000000000000000000000000000000000
χ654444-2-244444-2-2-2-2-2-2441-2-2114441-2-21111-2-2-2-2111144-2-2-2-244-2-211-2-2-2-21111-2-211-2-2-2-2111111-2-2-2-21111000000000000000000000000000000000000000
χ664444-2-244444-2-2-2-2-2-24-41-2-211-4-4-41-2-21111-2-2-2-21111-4-4-2-2-2-24422-1-12222-1-1-1-12211-2-2-2-21111-1-12222-1-1-1-1000000000000000000000000000000000000000
χ674444-2-24-4-444-2-2-2-2-2-2441-2-211-4441-2-21111-2-2-2-21111-4-42222-4-4-2-211-2-2-2-2111122-1-12222-1-1-1-1-1-12222-1-1-1-1000000000000000000000000000000000000000
χ684444-2-24-4-444-2-2-2-2-2-24-41-2-2114-4-41-2-21111-2-2-2-21111442222-4-422-1-12222-1-1-1-1-2-2-1-12222-1-1-1-111-2-2-2-21111000000000000000000000000000000000000000
χ694444-2-2-244-2-2-2-2-2-2-2-2-24111−1−3i32−1+3i324-2-2111−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32-2-2-2-2-2-2-2-2-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000000000000000
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χ714444-2-2-244-2-2-2-2-2-2-2-2-2-4111−1−3i32−1+3i32-422111−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i3222-2-2-2-2-2-222-1-1-1-1-1-11+3i321−3i321+3i321−3i3222111111−1−3i32−1+3i32−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000000000000000
χ724444-2-2-244-2-2-2-2-2-2-2-2-2-4111−1+3i32−1−3i32-422111−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i3222-2-2-2-2-2-222-1-1-1-1-1-11−3i321+3i321−3i321+3i3222111111−1+3i32−1−3i32−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32000000000000000000000000000000000000000
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χ744444-2-2-2-4-4-2-2-2-2-2-2-2-2-24111−1+3i32−1−3i32-4-2-2111−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i3222222222-2-2111111−1+3i32−1−3i32−1+3i32−1−3i3222-1-1-1-1-1-11−3i321+3i321−3i321+3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32000000000000000000000000000000000000000
χ754444-2-2-2-4-4-2-2-2-2-2-2-2-2-2-4111−1−3i32−1+3i32422111−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32-2-222222222-1-1-1-1-1-11+3i321−3i321+3i321−3i32-2-2-1-1-1-1-1-11+3i321−3i321+3i321−3i32111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000000000000000
χ764444-2-2-2-4-4-2-2-2-2-2-2-2-2-2-4111−1+3i32−1−3i32422111−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32-2-222222222-1-1-1-1-1-11−3i321+3i321−3i321+3i32-2-2-1-1-1-1-1-11−3i321+3i321−3i321+3i32111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000000000
χ7744-4-4444004-4-44-44-4-4-4044444000-4-4-4-4-4-44-44-44-4-444000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ7844-4-444-200-22-44-44-4-4204-2-2-2-2000-42222-442-22-222-2-2000000000000000000000000000000000000000000000000000023−23−23230000000000000000000000000
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χ8044-4-44-24004-4-442-2-42-40-24-2-2-20002-42222-2-442-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000023−23000000
χ8144-4-44-24004-4-442-2-42-40-24-2-2-20002-42222-2-442-222-2-20000000000000000000000000000000000000000000000000000000000000000000000000−2323000000
χ8244-4-4-244004-42-2-442-4-40-2-24-2-200022-4222-22-2-4422-2-20000000000000000000000000000000000000000000000000000000000000000000000023−2300000000
χ8344-4-4-244004-42-2-442-4-40-2-24-2-200022-4222-22-2-4422-2-200000000000000000000000000000000000000000000000000000000000000000000000−232300000000
χ844-44-444-200224-44-4-4-4-204-2-2-2-2000-422224-4-22-22-2-22200000000000000000000000000000000000000000000004-40000-2-2220000000000000000000000000
χ854-44-444-200224-44-4-4-4-204-2-2-2-2000-422224-4-22-22-2-2220000000000000000000000000000000000000000000000-44000022-2-20000000000000000000000000
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χ874-44-44-2400-4-44-4-22-4240-24-2-2-20002-4222-224-4-22-2-22200000000000000000000000000000000000000000000−4i4i000000000000000000000002i−2i0000000000
χ884-44-4-24400-4-4-224-42-440-2-24-2-200022-422-22-224-4-2-2220000000000000000000000000000000000000000004i−4i00000000000000000000000−2i2i000000000000
χ894-44-4-24400-4-4-224-42-440-2-24-2-200022-422-22-224-4-2-222000000000000000000000000000000000000000000−4i4i000000000000000000000002i−2i000000000000
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χ924-4-444-2-24i−4i2-2-4-4224-220-2-21110−2i32i3-2-21112222-1-1-1-1-1-123−234i−4i−2i2i−2i2i0000−2i32i3i3−i3i3i3−i3−i300−2i2i−2i2ii−iii−i−i0023−23−33−3−333000000000000000000000000000000000000000
χ934-4-444-2-24i−4i2-2-4-4224-220-2-211102i3−2i3-2-21112222-1-1-1-1-1-1−23234i−4i−2i2i−2i2i00002i3−2i3−i3i3−i3−i3i3i300−2i2i−2i2ii−iii−i−i00−23233−333−3−3000000000000000000000000000000000000000
χ944-4-444-2-2−4i4i2-2-4-4224-220-2-21110−2i32i3-2-21112222-1-1-1-1-1-1−2323−4i4i2i−2i2i−2i0000−2i32i3i3−i3i3i3−i3−i3002i−2i2i−2i−ii−i−iii00−23233−333−3−3000000000000000000000000000000000000000
χ954-4-444-2-2−4i4i2-2-4-4224-220-2-211102i3−2i3-2-21112222-1-1-1-1-1-123−23−4i4i2i−2i2i−2i00002i3−2i3−i3i3−i3−i3i3i3002i−2i2i−2i−ii−i−iii0023−23−33−3−333000000000000000000000000000000000000000
χ964-4-44-2444i−4i-4422-4-4-24-40-2-24-2-2000-2-24-2-22222-4-4222200−2i2i4i−4i4i−4i00000000000000−2i2i−2i2i4i−4i−2i−2i2i2i0000000000000000000000000000000000000000000000000
χ974-4-44-244−4i4i-4422-4-4-24-40-2-24-2-2000-2-24-2-22222-4-42222002i−2i−4i4i−4i4i000000000000002i−2i2i−2i−4i4i2i2i−2i−2i0000000000000000000000000000000000000000000000000
χ984-4-44-24-24i−4i2-222-4-4-2420-21-2110−2i32i3-21-21122-1-122-1-1-1-123−23−2i2i4i−4i−2i2i0000i3−i3−2i32i3i3i3−i3−i300−2i2ii−i−2i2iii−i−i00−3323−23−3−333000000000000000000000000000000000000000
χ994-4-44-24-24i−4i2-222-4-4-2420-21-21102i3−2i3-21-21122-1-122-1-1-1-1−2323−2i2i4i−4i−2i2i0000−i3i32i3−2i3−i3−i3i3i300−2i2ii−i−2i2iii−i−i003−3−232333−3−3000000000000000000000000000000000000000
χ1004-4-44-24-2−4i4i2-222-4-4-2420-21-2110−2i32i3-21-21122-1-122-1-1-1-1−23232i−2i−4i4i2i−2i0000i3−i3−2i32i3i3i3−i3−i3002i−2i−ii2i−2i−i−iii003−3−232333−3−3000000000000000000000000000000000000000
χ1014-4-44-24-2−4i4i2-222-4-4-2420-21-21102i3−2i3-21-21122-1-122-1-1-1-123−232i−2i−4i4i2i−2i0000−i3i32i3−2i3−i3−i3i3i3002i−2i−ii2i−2i−i−iii00−3323−23−3−333000000000000000000000000000000000000000
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χ1034-4-44-2-244i−4i-442222-2-2-401-2-2110001-2-211-1-12222-1-1-1-100−2i2i−2i2i4i−4i00-330000-333-300i−i−2i2i−2i2iii−i−i−3i3i0000−3i3i3i−3i000000000000000000000000000000000000000
χ1044-4-44-2-24−4i4i-442222-2-2-401-2-2110001-2-211-1-12222-1-1-1-1002i−2i2i−2i−4i4i003-300003-3-3300−ii2i−2i2i−2i−i−iii−3i3i0000−3i3i3i−3i000000000000000000000000000000000000000
χ1054-4-44-2-24−4i4i-442222-2-2-401-2-2110001-2-211-1-12222-1-1-1-1002i−2i2i−2i−4i4i00-330000-333-300−ii2i−2i2i−2i−i−iii3i−3i00003i−3i−3i3i000000000000000000000000000000000000000
χ1064-4-44-2-2-24i−4i2-22222-2-220111−1−3i32−1+3i320−2i32i3111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i3223−23−2i2i−2i2i−2i2i003-3i3−i3i3−i3−3−i323−i323+i32−3+i3200i−ii−ii−i−ζ7+2ζ112ζ7−ζ11ζ7−2ζ11−2ζ7+ζ113i−3i−33−33ζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11000000000000000000000000000000000000000
χ1074-4-44-2-2-24i−4i2-22222-2-220111−1−3i32−1+3i3202i3−2i3111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32−2323−2i2i−2i2i−2i2i00-33−i3i3−i3i33+i32−3+i32−3−i323−i3200i−ii−ii−i−ζ7+2ζ112ζ7−ζ11ζ7−2ζ11−2ζ7+ζ11−3i3i3−33−3−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11000000000000000000000000000000000000000
χ1084-4-44-2-2-24i−4i2-22222-2-220111−1+3i32−1−3i320−2i32i3111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i3223−23−2i2i−2i2i−2i2i00-33i3−i3i3−i33−i32−3−i32−3+i323+i3200i−ii−ii−i2ζ7−ζ11−ζ7+2ζ11−2ζ7+ζ11ζ7−2ζ11−3i3i−33−33−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11000000000000000000000000000000000000000
χ1094-4-44-2-2-24i−4i2-22222-2-220111−1+3i32−1−3i3202i3−2i3111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32−2323−2i2i−2i2i−2i2i003-3−i3i3−i3i3−3+i323+i323−i32−3−i3200i−ii−ii−i2ζ7−ζ11−ζ7+2ζ11−2ζ7+ζ11ζ7−2ζ113i−3i3−33−32ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11000000000000000000000000000000000000000
χ1104-4-44-2-2-2−4i4i2-22222-2-220111−1−3i32−1+3i320−2i32i3111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32−23232i−2i2i−2i2i−2i003-3i3−i3i3−i3−3−i323−i323+i32−3+i3200−ii−ii−iiζ7−2ζ11−2ζ7+ζ11−ζ7+2ζ112ζ7−ζ11−3i3i3−33−3−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11000000000000000000000000000000000000000
χ1114-4-44-2-2-2−4i4i2-22222-2-220111−1−3i32−1+3i3202i3−2i3111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i3223−232i−2i2i−2i2i−2i00-33−i3i3−i3i33+i32−3+i32−3−i323−i3200−ii−ii−iiζ7−2ζ11−2ζ7+ζ11−ζ7+2ζ112ζ7−ζ113i−3i−33−33ζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11000000000000000000000000000000000000000
χ1124-4-44-2-2-2−4i4i2-22222-2-220111−1+3i32−1−3i320−2i32i3111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32−23232i−2i2i−2i2i−2i00-33i3−i3i3−i33−i32−3−i32−3+i323+i3200−ii−ii−ii−2ζ7+ζ11ζ7−2ζ112ζ7−ζ11−ζ7+2ζ113i−3i3−33−32ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11000000000000000000000000000000000000000
χ1134-4-44-2-2-2−4i4i2-22222-2-220111−1+3i32−1−3i3202i3−2i3111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i3223−232i−2i2i−2i2i−2i003-3−i3i3−i3i3−3+i323+i323−i32−3−i3200−ii−ii−ii−2ζ7+ζ11ζ7−2ζ112ζ7−ζ11−ζ7+2ζ11−3i3i−33−33−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11000000000000000000000000000000000000000
χ11488-8-88-4-400-44-884-4-8440-4-422200044-2-2-24-44-4-22-2-222000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11588-8-8-48-400-444-4-884-840-42-4220004-24-2-24-4-224-4-2-222000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11688-8-8-4-48008-84-44-444-802-4-422000-244-2-2-224-44-4-2-222000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11788-8-8-4-4-400-444-44-44440222−1−3i3−1+3i3000-2-2-21+3i31−3i3-22-22-221+3i31−3i3−1−3i3−1+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11888-8-8-4-4-400-444-44-44440222−1+3i3−1−3i3000-2-2-21−3i31+3i3-22-22-221−3i31+3i3−1+3i3−1−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-88-88-4-400448-8-44-84-40-4-422200044-2-2-2-44-442-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-88-8-48-40044-448-84-8-40-42-4220004-24-2-2-442-2-4422-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1218-88-8-4-4800-8-8-44-4444802-4-422000-244-2-22-2-44-4422-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-88-8-4-4-40044-44-4444-40222−1−3i3−1+3i3000-2-2-21+3i31−3i32-22-22-2−1−3i3−1+3i31+3i31−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1238-88-8-4-4-40044-44-4444-40222−1+3i3−1−3i3000-2-2-21−3i31+3i32-22-22-2−1+3i3−1−3i31−3i31+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000

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