Finite Group Databasebeta

← Group #13178314

Character table — Group #13178314

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11112222222222222244444444444444444444444444444444888888888888888888888888888888888899991818181818181818181818181818363636363636363636363636363636363636363672727272
order1222333446666666663333344666666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121244442244444444121212124444446612121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-111111-1-11-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-11-1-11-111-1-1-1-1-1-1-1-1-1-1111-1-11
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11-1-11-1-111-1-1-1-1-1-111-1-1-111-1
χ511111111111111111111111-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1
χ611111111111111111111111-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-111-111-1-1-1-1-1-111-1-1-1-1-1-11111
χ711111111111111111111111-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11-111-1111-1-111-1-111-1-111-111-1
χ811111111111111111111111-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-111-1-1-11111-1-11111-1-11-1-11
χ91111111-1-1111111111111111-1111111111111111-1-1-1-111-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-11111-1-1111-11111-1-1-1-111-1-1-1-111-1-1
χ101111111-1-1111111111111111-1111111111111111-1-1-1-111-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1111111-11-11-11-1-1-1-1-1-1-1-1111111-1-111
χ111111111-1-1111111111111111-1111111111111111-1-1-1-111-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-11-1-1-11111-1-11111-1-111-1-11-11-1
χ121111111-1-1111111111111111-1111111111111111-1-1-1-111-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-1111-1-1-1-1-1111111-1-1-1-111-11-11
χ131111111-1-111111111111111-11111111111111111-1-1-1-1-1-111-1-11-11-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-11111111-1-1-1-1-1-1-1-1-1-111
χ141111111-1-111111111111111-11111111111111111-1-1-1-1-1-111-1-11-11-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111111-11-11-1-1-1-1-111-1-1-1-1111111-1-1
χ151111111-1-111111111111111-11111111111111111-1-1-1-1-1-111-1-11-11-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1111-1-111-1-1-1-1111111-1-1-11-11
χ161111111-1-111111111111111-11111111111111111-1-1-1-1-1-111-1-11-11-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111-1-111-1-11111-1-1111-11-1
χ17222222-122-122-12222-12-1-1-1-1222-1-1-1-12-1-1-1-12-1-1-1-122222222-1-1-122-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000022002200000000020020-1-10000000000-1-1-100-1
χ18222222-122-122-12222-12-1-1-1-1222-1-1-1-12-1-1-1-12-1-1-1-122222222-1-1-122-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000-2-200-2-2000000000-200-20110000000000111001
χ19222222-122-122-12222-12-1-1-1-1-2-22-1-1-1-12-1-1-1-12-1-1-1-12222-2-2-2-2-1-11-2-21-2-21111111122-1-1-1-1-1-1-1-1-2-2111111110000220022000000000-200-20-1-10000000000-1-11001
χ20222222-122-122-12222-12-1-1-1-1-2-22-1-1-1-12-1-1-1-12-1-1-1-12222-2-2-2-2-1-11-2-21-2-21111111122-1-1-1-1-1-1-1-1-2-2111111110000-2-200-2-20000000002002011000000000011-100-1
χ21222222-1-2-2-122-12222-12-1-1-1-12-22-1-1-1-12-1-1-1-12-1-1-1-1-2-2-2-222-2-21112-2-1-2-211111111-2-21111111122-1-1-1-1-1-1-1-100002200-2-2000000000-20020-1-1000000000011-1001
χ22222222-1-2-2-122-12222-12-1-1-1-12-22-1-1-1-12-1-1-1-12-1-1-1-1-2-2-2-222-2-21112-2-1-2-211111111-2-21111111122-1-1-1-1-1-1-1-10000-2-20022000000000200-20110000000000-1-1100-1
χ23222222-1-2-2-122-12222-12-1-1-1-1-222-1-1-1-12-1-1-1-12-1-1-1-1-2-2-2-2-2-22211-1-22122-1-1-1-1-1-1-1-1-2-211111111-2-21111111100002200-2-2000000000200-20-1-1000000000011100-1
χ24222222-1-2-2-122-12222-12-1-1-1-1-222-1-1-1-12-1-1-1-12-1-1-1-1-2-2-2-2-2-22211-1-22122-1-1-1-1-1-1-1-1-2-211111111-2-2111111110000-2-20022000000000-20020110000000000-1-1-1001
χ2522222-122222-122-12-12-12-1-1-122-12-1-1-1-12-1-1-1-12-1-1-122-1-12222222-1-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100000022000022000000200200-1-1000000-1-1000-1-10
χ2622222-122222-122-12-12-12-1-1-122-12-1-1-1-12-1-1-1-12-1-1-122-1-12222222-1-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1000000-2-20000-2-2000000-200-2001100000011000110
χ2722222-122222-122-12-12-12-1-1-1-2-2-12-1-1-1-12-1-1-1-12-1-1-122-1-1-2-2-2-222-211-211-2-2111111-1-122-1-1-1-1-1-111-2-211111100000022000022000000-200-200-1-1000000-1-1000110
χ2822222-122222-122-12-12-12-1-1-1-2-2-12-1-1-1-12-1-1-1-12-1-1-122-1-1-2-2-2-222-211-211-2-2111111-1-122-1-1-1-1-1-111-2-2111111000000-2-20000-2-20000002002001100000011000-1-10
χ2922222-12-2-222-122-12-12-12-1-1-12-2-12-1-1-1-12-1-1-1-12-1-1-1-2-21122-2-2-2-2-2-11211-2-211111111-2-2111111-1-122-1-1-1-1-1-1000000220000-2-2000000200-200-1-100000011000-110
χ3022222-12-2-222-122-12-12-12-1-1-12-2-12-1-1-1-12-1-1-1-12-1-1-1-2-21122-2-2-2-2-2-11211-2-211111111-2-2111111-1-122-1-1-1-1-1-1000000-2-2000022000000-20020011000000-1-10001-10
χ3122222-12-2-222-122-12-12-12-1-1-1-22-12-1-1-1-12-1-1-1-12-1-1-1-2-211-2-222-2-221-1-2-1-122-1-1-1-1-1-111-2-211111111-2-2111111000000220000-2-2000000-200200-1-1000000110001-10
χ3222222-12-2-222-122-12-12-12-1-1-1-22-12-1-1-1-12-1-1-1-12-1-1-1-2-211-2-222-2-221-1-2-1-122-1-1-1-1-1-111-2-211111111-2-2111111000000-2-2000022000000200-20011000000-1-1000-110
χ332222-122222-122-12-122-1-12-1-122-1-12-1-1-1-12-1-1-1-12-1-1-1-122-1-1-1-1222222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122220000002200-1-1-1-12002000000-1-1-1-1-1-100000000
χ342222-122222-122-12-122-1-12-1-122-1-12-1-1-1-12-1-1-1-12-1-1-1-122-1-1-1-1222222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2000000-2-2001111-200-200000011111100000000
χ352222-122222-122-12-122-1-12-1-1-2-2-1-12-1-1-1-12-1-1-1-12-1-1-1-122111122-2-2-2-21111-2-21111-1-1-1-122-1-1-1-11111-2-2111122220000002200-1-1-1-1-200-200000011-1-11100000000
χ362222-122222-122-12-122-1-12-1-1-2-2-1-12-1-1-1-12-1-1-1-12-1-1-1-122111122-2-2-2-21111-2-21111-1-1-1-122-1-1-1-11111-2-21111-2-2-2-2000000-2-20011112002000000-1-111-1-100000000
χ372222-122-2-22-122-12-122-1-12-1-12-2-1-12-1-1-1-12-1-1-1-12-1-111-2-2-1-111-2-2-22-221111-2-211111111-2-21111-1-1-1-122-1-1-1-12222000000-2-200-1-1-1-1-20020000001111-1-100000000
χ382222-122-2-22-122-12-122-1-12-1-12-2-1-12-1-1-1-12-1-1-1-12-1-111-2-2-1-111-2-2-22-221111-2-211111111-2-21111-1-1-1-122-1-1-1-1-2-2-2-200000022001111200-2000000-1-1-1-11100000000
χ392222-122-2-22-122-12-122-1-12-1-1-22-1-12-1-1-1-12-1-1-1-12-1-111-2-211-1-1-2-22-22-2-1-1-1-122-1-1-1-11111-2-211111111-2-211112222000000-2-200-1-1-1-1200-2000000-1-1111100000000
χ402222-122-2-22-122-12-122-1-12-1-1-22-1-12-1-1-1-12-1-1-1-12-1-111-2-211-1-1-2-22-22-2-1-1-1-122-1-1-1-11111-2-211111111-2-21111-2-2-2-200000022001111-200200000011-1-1-1-100000000
χ4122-2-222200222-2-2-2-2-2-2222220022222-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000022-2-22-22-200000022-2-20000002-22-200000000000000
χ4222-2-222200222-2-2-2-2-2-2222220022222-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000022-2-2-22-2200000022-2-2000000-22-2200000000000000
χ4322-2-222200222-2-2-2-2-2-2222220022222-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000-2-2222-2-22000000-2-2220000002-2-2200000000000000
χ4422-2-222200222-2-2-2-2-2-2222220022222-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000-2-222-222-2000000-2-222000000-222-200000000000000
χ452-22-222200-2-2-2-222-2-222222200-2-2-2-2-2-2-2-2-2-222222000000000000000000000000000000000000000000002i−2i2i−2i00002-2002i−2i2i−2i2i−2i00000000000000002i−2i2-20000
χ462-22-222200-2-2-2-222-2-222222200-2-2-2-2-2-2-2-2-2-222222000000000000000000000000000000000000000000002i−2i2i−2i0000-2200−2i2i2i−2i2i−2i0000000000000000−2i2i-220000
χ472-22-222200-2-2-2-222-2-222222200-2-2-2-2-2-2-2-2-2-22222200000000000000000000000000000000000000000000−2i2i−2i2i00002-200−2i2i−2i2i−2i2i0000000000000000−2i2i2-20000
χ482-22-222200-2-2-2-222-2-222222200-2-2-2-2-2-2-2-2-2-22222200000000000000000000000000000000000000000000−2i2i−2i2i0000-22002i−2i−2i2i−2i2i00000000000000002i−2i-220000
χ492-2-222222i−2i-2-2-22-2-222-22222200-2-2-2-2-222222-2-2-2-2-22i−2i2i−2i00002i−2i000000000000002i−2i2i−2i2i−2i2i2i−2i−2i00000000002i−2i−2i2i0000002-2002i−2i−2i2i0000000000002-20000000000
χ502-2-222222i−2i-2-2-22-2-222-22222200-2-2-2-2-222222-2-2-2-2-22i−2i2i−2i00002i−2i000000000000002i−2i2i−2i2i−2i2i2i−2i−2i0000000000−2i2i2i−2i000000-2200−2i2i2i−2i000000000000-220000000000
χ512-2-22222−2i2i-2-2-22-2-222-22222200-2-2-2-2-222222-2-2-2-2-2−2i2i−2i2i0000−2i2i00000000000000−2i2i−2i2i−2i2i−2i−2i2i2i00000000002i−2i−2i2i000000-22002i−2i−2i2i000000000000-220000000000
χ522-2-22222−2i2i-2-2-22-2-222-22222200-2-2-2-2-222222-2-2-2-2-2−2i2i−2i2i0000−2i2i00000000000000−2i2i−2i2i−2i2i−2i−2i2i2i0000000000−2i2i2i−2i0000002-200−2i2i2i−2i0000000000002-20000000000
χ532-2-22-1222i−2i-21-221-2-12-2-1-12-1-10011-211-1-12-1-111-211−ii2i−2i3−3−i3i32i−2i0000−i3i3−i3i300−i3−i3i3i3−ii−ii2i−2i−i−iii3−33−30033−3−32i−2i−2i2i0000002-200−iii−i00000000003−3-11−i3i300000000
χ542-2-22-1222i−2i-21-221-2-12-2-1-12-1-10011-211-1-12-1-111-211−ii2i−2i3−3−i3i32i−2i0000−i3i3−i3i300−i3−i3i3i3−ii−ii2i−2i−i−iii3−33−30033−3−3−2i2i2i−2i000000-2200i−i−ii0000000000−331-1i3−i300000000
χ552-2-22-1222i−2i-21-221-2-12-2-1-12-1-10011-211-1-12-1-111-211−ii2i−2i−33i3−i32i−2i0000i3−i3i3−i300i3i3−i3−i3−ii−ii2i−2i−i−iii−33−3300−3−3332i−2i−2i2i0000002-200−iii−i0000000000−33-11i3−i300000000
χ562-2-22-1222i−2i-21-221-2-12-2-1-12-1-10011-211-1-12-1-111-211−ii2i−2i−33i3−i32i−2i0000i3−i3i3−i300i3i3−i3−i3−ii−ii2i−2i−i−iii−33−3300−3−333−2i2i2i−2i000000-2200i−i−ii00000000003−31-1−i3i300000000
χ572-2-22-122−2i2i-21-221-2-12-2-1-12-1-10011-211-1-12-1-111-211i−i−2i2i3−3i3−i3−2i2i0000i3−i3i3−i300i3i3−i3−i3i−ii−i−2i2iii−i−i3−33−30033−3−32i−2i−2i2i000000-2200−iii−i0000000000−331-1−i3i300000000
χ582-2-22-122−2i2i-21-221-2-12-2-1-12-1-10011-211-1-12-1-111-211i−i−2i2i3−3i3−i3−2i2i0000i3−i3i3−i300i3i3−i3−i3i−ii−i−2i2iii−i−i3−33−30033−3−3−2i2i2i−2i0000002-200i−i−ii00000000003−3-11i3−i300000000
χ592-2-22-122−2i2i-21-221-2-12-2-1-12-1-10011-211-1-12-1-111-211i−i−2i2i−33−i3i3−2i2i0000−i3i3−i3i300−i3−i3i3i3i−ii−i−2i2iii−i−i−33−3300−3−3332i−2i−2i2i000000-2200−iii−i00000000003−31-1i3−i300000000
χ602-2-22-122−2i2i-21-221-2-12-2-1-12-1-10011-211-1-12-1-111-211i−i−2i2i−33−i3i3−2i2i0000−i3i3−i3i300−i3−i3i3i3i−ii−i−2i2iii−i−i−33−3300−3−333−2i2i2i−2i0000002-200i−i−ii0000000000−33-11−i3i300000000
χ6144444-2-244-24-2-24-24-2-2-2-211144-2-2111-2-2111-2-211144-2-24444-2-2-2-2-2-2-2-2-2-2111111-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000000000000000
χ6244444-2-244-24-2-24-24-2-2-2-2111-4-4-2-2111-2-2111-2-211144-2-2-4-4-4-4-2-222222222-1-1-1-1-1-1-2-2-2-21111112222-1-1-1-1-1-1000000000000000000000000000000000000000000
χ6344444-2-2-4-4-24-2-24-24-2-2-2-21114-4-2-2111-2-2111-2-2111-4-42244-4-4222-22-22222-1-1-1-1-1-12222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000000000000
χ6444444-2-2-4-4-24-2-24-24-2-2-2-2111-44-2-2111-2-2111-2-2111-4-422-4-44422-22-22-2-2-2-21111112222-1-1-1-1-1-12222-1-1-1-1-1-1000000000000000000000000000000000000000000
χ654444-24-244-2-24-2-24-24-2-21-21144-21-211-21-211-21-211-2-244-2-2-2-2-2-2-244-2-2-211-2-21111-2-211-2-21111-2-211-2-21111000000000000000000000000000000000000000000
χ664444-24-244-2-24-2-24-24-2-21-211-4-4-21-211-21-211-21-211-2-2442222-2-22-4-4222-1-122-1-1-1-1-2-211-2-2111122-1-122-1-1-1-1000000000000000000000000000000000000000000
χ674444-24-2-4-4-2-24-2-24-24-2-21-2114-4-21-211-21-211-21-21122-4-4-2-2222224-4-222-1-122-1-1-1-122-1-122-1-1-1-1-2-211-2-21111000000000000000000000000000000000000000000
χ684444-24-2-4-4-2-24-2-24-24-2-21-211-44-21-211-21-211-21-21122-4-422-2-222-2-442-2-211-2-2111122-1-122-1-1-1-122-1-122-1-1-1-1000000000000000000000000000000000000000000
χ694444-2-24444-2-24-2-2-2-241-2-211441-2-2111-2-2111-2-211-2-2-2-2-2-2-2-2444-2-2411-2-2-2-2111111-2-2-2-2111111-2-2-2-21111000000000000000000000000000000000000000000
χ704444-2-24444-2-24-2-2-2-241-2-211-4-41-2-2111-2-2111-2-211-2-2-2-2222244-422-4-1-12222-1-1-1-111-2-2-2-21111-1-12222-1-1-1-1000000000000000000000000000000000000000000
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χ744444-2-2-244-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32-4-4111−1−3i32−1+3i32111−1−3i32−1+3i32111−1−3i32−1+3i32-2-2-2-22222-2-22222-1-1-1-1-1-11+3i321−3i321+3i321−3i32111111−1−3i32−1+3i32−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000000000000000000
χ754444-2-2-244-2-2-2-2-2-2-2-2-2111−1+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+3i32−1−3i32000000000000000000000000000000000000000000
χ764444-2-2-244-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32-4-4111−1+3i32−1−3i32111−1+3i32−1−3i32111−1+3i32−1−3i32-2-2-2-22222-2-22222-1-1-1-1-1-11−3i321+3i321−3i321+3i32111111−1+3i32−1−3i32−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32000000000000000000000000000000000000000000
χ774444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i324-4111−1−3i32−1+3i32111−1−3i32−1+3i32111−1−3i32−1+3i322222-2-222222-22-2-1-1-1-1-1-11+3i321−3i321+3i321−3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000000000000000000
χ784444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32-44111−1−3i32−1+3i32111−1−3i32−1+3i32111−1−3i32−1+3i32222222-2-222-22-22111111−1−3i32−1+3i32−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000000000000000000
χ794444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i324-4111−1+3i32−1−3i32111−1+3i32−1−3i32111−1+3i32−1−3i322222-2-222222-22-2-1-1-1-1-1-11−3i321+3i321−3i321+3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000000000000
χ804444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32-44111−1+3i32−1−3i32111−1+3i32−1−3i32111−1+3i32−1−3i32222222-2-222-22-22111111−1+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+3i32000000000000000000000000000000000000000000
χ8144-4-444-200-2442-4-4-4-424-2-2-2-2004-2-2-2-2-42222-422220000000000000000000000000000000000000000000000004-4000000000000000000-220000000000000000
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χ954-4-444-244i−4i-4-424-424-2-4-24-2-2-2002-4222-24-2-2-22-42224i−4i−2i2i00004i−4i00000000000000−2i2i4i−4i−2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000000000
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χ974-4-444-2-24i−4i2-42-2-424-22-2-21110022-1-1-1-2-211122-1-1-14i−4i−2i2i0000−2i2i000000003-33-3-33−2i2i−2i2ii−iii−i−i00003i−3i3i−3i−3i3i000000000000000000000000000000000000000000
χ984-4-444-2-24i−4i2-42-2-424-22-2-21110022-1-1-1-2-211122-1-1-14i−4i−2i2i0000−2i2i00000000-33-333-3−2i2i−2i2ii−iii−i−i0000−3i3i−3i3i3i−3i000000000000000000000000000000000000000000
χ994-4-444-2-2−4i4i2-42-2-424-22-2-21110022-1-1-1-2-211122-1-1-1−4i4i2i−2i00002i−2i000000003-33-3-332i−2i2i−2i−ii−i−iii0000−3i3i−3i3i3i−3i000000000000000000000000000000000000000000
χ1004-4-444-2-2−4i4i2-42-2-424-22-2-21110022-1-1-1-2-211122-1-1-1−4i4i2i−2i00002i−2i00000000-33-333-32i−2i2i−2i−ii−i−iii00003i−3i3i−3i−3i3i000000000000000000000000000000000000000000
χ1014-4-44-24-24i−4i22-4-22-4-242-21-211002-12-1-1-21-2112-12-1-1−2i2i4i−4i23−23−2i32i3−2i2i0000−2i32i3i3−i300i3i3−i3−i3−2i2ii−i−2i2iii−i−i23−23−3300−3−333000000000000000000000000000000000000000000
χ1024-4-44-24-24i−4i22-4-22-4-242-21-211002-12-1-1-21-2112-12-1-1−2i2i4i−4i−23232i3−2i3−2i2i00002i3−2i3−i3i300−i3−i3i3i3−2i2ii−i−2i2iii−i−i−23233−30033−3−3000000000000000000000000000000000000000000
χ1034-4-44-24-2−4i4i22-4-22-4-242-21-211002-12-1-1-21-2112-12-1-12i−2i−4i4i23−232i3−2i32i−2i00002i3−2i3−i3i300−i3−i3i3i32i−2i−ii2i−2i−i−iii23−23−3300−3−333000000000000000000000000000000000000000000
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χ1054-4-44-2-244i−4i-422422-2-2-41-2-21100-122-1-11-2-211-122-1-1−2i2i−2i2i23−23−2i32i34i−4i0000i3−i3−2i32i300i3i3−i3−i3i−i−2i2i−2i2iii−i−i−3323−2300−3−333000000000000000000000000000000000000000000
χ1064-4-44-2-244i−4i-422422-2-2-41-2-21100-122-1-11-2-211-122-1-1−2i2i−2i2i−23232i3−2i34i−4i0000−i3i32i3−2i300−i3−i3i3i3i−i−2i2i−2i2iii−i−i3−3−23230033−3−3000000000000000000000000000000000000000000
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χ1084-4-44-2-24−4i4i-422422-2-2-41-2-21100-122-1-11-2-211-122-1-12i−2i2i−2i−2323−2i32i3−4i4i0000i3−i3−2i32i300i3i3−i3−i3−ii2i−2i2i−2i−i−iii3−3−23230033−3−3000000000000000000000000000000000000000000
χ1094-4-44-2-2-24i−4i222-222-2-22111−1−3i32−1+3i3200-1-1-11+3i321−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i32−2i2i−2i2i23−23−2i32i3−2i2i0000i3−i3i3−i33-3−3−i323−i323+i32−3+i32i−ii−ii−i−ζ7+2ζ112ζ7−ζ11ζ7−2ζ11−2ζ7+ζ11−33−333i−3iζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11000000000000000000000000000000000000000000
χ1104-4-44-2-2-24i−4i222-222-2-22111−1−3i32−1+3i3200-1-1-11+3i321−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i32−2i2i−2i2i−23232i3−2i3−2i2i0000−i3i3−i3i3-333+i32−3+i32−3−i323−i32i−ii−ii−i−ζ7+2ζ112ζ7−ζ11ζ7−2ζ11−2ζ7+ζ113−33−3−3i3i−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11000000000000000000000000000000000000000000
χ1114-4-44-2-2-24i−4i222-222-2-22111−1+3i32−1−3i3200-1-1-11−3i321+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i32−2i2i−2i2i23−23−2i32i3−2i2i0000i3−i3i3−i3-333−i32−3−i32−3+i323+i32i−ii−ii−i2ζ7−ζ11−ζ7+2ζ11−2ζ7+ζ11ζ7−2ζ11−33−33−3i3i−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11000000000000000000000000000000000000000000
χ1124-4-44-2-2-24i−4i222-222-2-22111−1+3i32−1−3i3200-1-1-11−3i321+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i32−2i2i−2i2i−23232i3−2i3−2i2i0000−i3i3−i3i33-3−3+i323+i323−i32−3−i32i−ii−ii−i2ζ7−ζ11−ζ7+2ζ11−2ζ7+ζ11ζ7−2ζ113−33−33i−3i2ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11000000000000000000000000000000000000000000
χ1134-4-44-2-2-2−4i4i222-222-2-22111−1−3i32−1+3i3200-1-1-11+3i321−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i322i−2i2i−2i23−232i3−2i32i−2i0000−i3i3−i3i3-333+i32−3+i32−3−i323−i32−ii−ii−iiζ7−2ζ11−2ζ7+ζ11−ζ7+2ζ112ζ7−ζ11−33−333i−3iζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11000000000000000000000000000000000000000000
χ1144-4-44-2-2-2−4i4i222-222-2-22111−1−3i32−1+3i3200-1-1-11+3i321−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i322i−2i2i−2i−2323−2i32i32i−2i0000i3−i3i3−i33-3−3−i323−i323+i32−3+i32−ii−ii−iiζ7−2ζ11−2ζ7+ζ11−ζ7+2ζ112ζ7−ζ113−33−3−3i3i−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11000000000000000000000000000000000000000000
χ1154-4-44-2-2-2−4i4i222-222-2-22111−1+3i32−1−3i3200-1-1-11−3i321+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i322i−2i2i−2i23−232i3−2i32i−2i0000−i3i3−i3i33-3−3+i323+i323−i32−3−i32−ii−ii−ii−2ζ7+ζ11ζ7−2ζ112ζ7−ζ11−ζ7+2ζ11−33−33−3i3i−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11000000000000000000000000000000000000000000
χ1164-4-44-2-2-2−4i4i222-222-2-22111−1+3i32−1−3i3200-1-1-11−3i321+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i322i−2i2i−2i−2323−2i32i32i−2i0000i3−i3i3−i3-333−i32−3−i32−3+i323+i32−ii−ii−ii−2ζ7+ζ11ζ7−2ζ112ζ7−ζ11−ζ7+2ζ113−33−33i−3i2ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11000000000000000000000000000000000000000000
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χ1258-88-8-4-4-4004444-4-444-4222−1−3i3−1+3i300-2-2-21+3i31−3i3-2-2-21+3i31−3i3222−1−3i3−1+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-88-8-4-4-4004444-4-444-4222−1+3i3−1−3i300-2-2-21−3i31+3i3-2-2-21−3i31+3i3222−1+3i3−1−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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