Finite Group Databasebeta

← Group #13178141

Character table — Group #13178141

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159
size111122222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444181818181818181836363636363636363636363636363636363636363636363672727272
order12223334444666666666121212121212121233333466666666666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212124444444422224444121212121212121212121212121212126666
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111-1-11111111111111-1-1-1-111111-111111111111111111-1-1-1-111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11-11111-1-1-1-11111-1-1-1-111-1-1
χ6111111111-1-11111111111111-1-1-1-111111-111111111111111111-1-1-1-111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-111111-1-1-1-1-1-1-1-11111-1-111
χ7111111111-1-11111111111111-1-1-1-111111-111111111111111111-1-1-1-111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-111111111-1-1-1-1-1-111
χ8111111111-1-11111111111111-1-1-1-111111-111111111111111111-1-1-1-111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-11-1-1-1-11111-1-1-1-1111111-1-1
χ91111111-1-111111111111-1-1-1-1111111111-1111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-11-11-1-1-111-1-111-1-111-1-111-1-11-11-1
χ101111111-1-111111111111-1-1-1-1111111111-1111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11-111-11111-1-111-1-1-1-111-1-111-11-11
χ111111111-1-111111111111-1-1-1-1111111111-1111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11-11-11-1-1-1-111-1-11111-1-111-1-1-11-11
χ121111111-1-111111111111-1-1-1-1111111111-1111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-11-1-1111-1-111-1-111-1-111-1-1111-11-1
χ131111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-111-1-11-1-11-11-1111-1-1-1-11111-1-1-1-1111-1-11
χ141111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-111-111-1-111-111-1-1-1-111-1-11111-1-1-111-1
χ151111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-11111-1-1-111-11-1-11-1-11111-1-111-1-1-1-111-111-1
χ161111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-111-1-1111-1-111-11-1-1-11111-1-1-1-11111-1-11-1-11
χ17222222-1222222-1-1-12222222222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000222200000000000000000000-1-1-1-1
χ18222222-1222222-1-1-12222222222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2000000000000000000001111
χ19222222-122-2-222-1-1-122222222-2-2-2-22-1-1-1-1-2222-1-1-1-1-1-1-1-1-1-1-1-1-1-1111122-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111-2-2-2-211111111111111110000000022-2-200000000000000000000-1-111
χ20222222-122-2-222-1-1-122222222-2-2-2-22-1-1-1-1-2222-1-1-1-1-1-1-1-1-1-1-1-1-1-1111122-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111-2-2-2-2111111111111111100000000-2-2220000000000000000000011-1-1
χ21222222-1-2-22222-1-1-12222-2-2-2-222222-1-1-1-1-2222-1-1-1-1-1-1-1-1-1-1-1-111-1-111-2-222-2-2-2-2-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111000000002-22-200000000000000000000-11-11
χ22222222-1-2-22222-1-1-12222-2-2-2-222222-1-1-1-1-2222-1-1-1-1-1-1-1-1-1-1-1-111-1-111-2-222-2-2-2-2-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111111100000000-22-22000000000000000000001-11-1
χ23222222-1-2-2-2-222-1-1-12222-2-2-2-2-2-2-2-22-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-2-2-2-22222-2-2-2-21111111111111111-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000002-2-2200000000000000000000-111-1
χ24222222-1-2-2-2-222-1-1-12222-2-2-2-2-2-2-2-22-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-2-2-2-22222-2-2-2-21111111111111111-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-222-2000000000000000000001-1-11
χ2522222-1222222-122222-1-12222-1-1-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1222222-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222000000002200-1-1-1-1-1-1-1-1000000000000
χ2622222-1222222-122222-1-12222-1-1-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1222222-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000-2-20011111111000000000000
χ2722222-1222-2-22-122222-1-122221111-12-1-1-1-2-1-1-1222-1-1-1-1-1-1-1-1-122-2-2-2-2-1-1-2-2-2-211-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-21111111111111111-2-2-2-2111111111111222200000000-2-200-1-1-1-11111000000000000
χ2822222-1222-2-22-122222-1-122221111-12-1-1-1-2-1-1-1222-1-1-1-1-1-1-1-1-122-2-2-2-2-1-1-2-2-2-211-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-21111111111111111-2-2-2-2111111111111-2-2-2-20000000022001111-1-1-1-1000000000000
χ2922222-12-2-2222-122222-1-1-2-2-2-2-1-1-1-1-12-1-1-1-2-1-1-1222-1-1-1-1-1-1-1-1-1-2-222-2-21122-2-2111111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-211111111111122-2-2000000002-200-1-111-1-111000000000000
χ3022222-12-2-2222-122222-1-1-2-2-2-2-1-1-1-1-12-1-1-1-2-1-1-1222-1-1-1-1-1-1-1-1-1-2-222-2-21122-2-2111111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-2111111111111-2-22200000000-220011-1-111-1-1000000000000
χ3122222-12-2-2-2-22-122222-1-1-2-2-2-21111-12-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-2-22211-2-222-1-11111-2-2-2-21111111111111111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-2-200000000-2200-1-11111-1-1000000000000
χ3222222-12-2-2-2-22-122222-1-1-2-2-2-21111-12-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-2-22211-2-222-1-11111-2-2-2-21111111111111111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-222000000002-20011-1-1-1-111000000000000
χ332222-1222222-12222-1-122-1-1-1-12222-1-12-1-12-1-1-1-1-1-1222-1-1-1-1-1-122222222-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000022220000002200000000-1-1-1-1-1-1-1-10000
χ342222-1222222-12222-1-122-1-1-1-12222-1-12-1-12-1-1-1-1-1-1222-1-1-1-1-1-122222222-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-2000000-2-200000000111111110000
χ352222-12222-2-2-12222-1-122-1-1-1-1-2-2-2-2-1-12-1-1-2-1-1-1-1-1-1222-1-1-1-1-1-122-2-2-2-2221111-2-2-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-21111111111111111-2-2-2-211111111000022-2-20000002-200000000-1-1-1-111110000
χ362222-12222-2-2-12222-1-122-1-1-1-1-2-2-2-2-1-12-1-1-2-1-1-1-1-1-1222-1-1-1-1-1-122-2-2-2-2221111-2-2-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-21111111111111111-2-2-2-2111111110000-2-222000000-22000000001111-1-1-1-10000
χ372222-122-2-222-12222-1-12211112222-1-12-1-1-2-1-1-1-1-1-1222-1-1-1-1-1-1-2-222-2-2-2-2-1-111-2-211111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-21111111100002222000000-2-200000000-1-111-1-1110000
χ382222-122-2-222-12222-1-12211112222-1-12-1-1-2-1-1-1-1-1-1222-1-1-1-1-1-1-2-222-2-2-2-2-1-111-2-211111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-2111111110000-2-2-2-2000000220000000011-1-111-1-10000
χ392222-122-2-2-2-2-12222-1-1221111-2-2-2-2-1-12-1-12-1-1-1-1-1-1222-1-1-1-1-1-1-2-2-2-222-2-211-1-12211111111-2-2-2-21111111111111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000022-2-2000000-2200000000-1-11111-1-10000
χ402222-122-2-2-2-2-12222-1-1221111-2-2-2-2-1-12-1-12-1-1-1-1-1-1222-1-1-1-1-1-1-2-2-2-222-2-211-1-12211111111-2-2-2-21111111111111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2220000002-20000000011-1-1-1-1110000
χ4122-2-2222002-2-222-2-22-2-2-2000022-2-22222202-2-22-2-22-2-222-2-2-2-2002-200002-200000000000000000000000022-2-222-2-222-2-22222-2-2-2-20000000000000000000000002i−2i2i−2i00000000000000002i−2i002i−2i000000
χ4222-2-2222002-2-222-2-22-2-2-2000022-2-22222202-2-22-2-22-2-222-2-2-2-2002-200002-200000000000000000000000022-2-222-2-222-2-22222-2-2-2-2000000000000000000000000−2i2i−2i2i0000000000000000−2i2i00−2i2i000000
χ4322-2-222200-22-222-2-22-2-2-20000-2-2222222202-2-22-2-22-2-222-2-2-2-200-220000-22000000000000000000000000-2-222-2-222-2-222-2-2-2-222220000000000000000000000002i−2i−2i2i00000000000000002i−2i00−2i2i000000
χ4422-2-222200-22-222-2-22-2-2-20000-2-2222222202-2-22-2-22-2-222-2-2-2-200-220000-22000000000000000000000000-2-222-2-222-2-222-2-2-2-22222000000000000000000000000−2i2i2i−2i0000000000000000−2i2i002i−2i000000
χ4522-2-2-122002-2122-2-2-11-2-233−3−322-2-2-1-12-1-10-111-1112-2-2-1-11111002-20000-113−30033−3−333−3−300003333−3−3−3−3-1-111-1-11122-2-2-1-1-1-1111133−3−333−3−300003333−3−3−3−300002i−2i2i−2i0000000000000000−ii−i3i3−ii−i3i30000
χ4622-2-2-122002-2122-2-2-11-2-233−3−322-2-2-1-12-1-10-111-1112-2-2-1-11111002-20000-113−30033−3−333−3−300003333−3−3−3−3-1-111-1-11122-2-2-1-1-1-1111133−3−333−3−300003333−3−3−3−30000−2i2i−2i2i0000000000000000i−ii3−i3i−ii3−i30000
χ4722-2-2-122002-2122-2-2-11-2-2−3−33322-2-2-1-12-1-10-111-1112-2-2-1-11111002-20000-11−3300−3−333−3−3330000−3−3−3−33333-1-111-1-11122-2-2-1-1-1-11111−3−333−3−3330000−3−3−3−3333300002i−2i2i−2i0000000000000000−iii3−i3−iii3−i30000
χ4822-2-2-122002-2122-2-2-11-2-2−3−33322-2-2-1-12-1-10-111-1112-2-2-1-11111002-20000-11−3300−3−333−3−3330000−3−3−3−33333-1-111-1-11122-2-2-1-1-1-11111−3−333−3−3330000−3−3−3−333330000−2i2i−2i2i0000000000000000i−i−i3i3i−i−i3i30000
χ4922-2-2-12200-22122-2-2-11-2-233−3−3-2-222-1-12-1-10-111-1112-2-2-1-1111100-2200001-1−330033−3−333−3−300003333−3−3−3−311-1-111-1-1-2-2221111-1-1-1-1−3−333−3−3330000−3−3−3−3333300002i−2i−2i2i0000000000000000−ii−i3i3i−ii3−i30000
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χ1464-4-44-24-200002-422-22-2-44−232323−230000-21-211022-2-1-1122-2-1-1-1-1110000−2i32i300000000−232323−233−3−33000033−3−3−3−3330000−3i3i3i−3i0000−3i3i3i−3i3i−3i−3i3i0000i3−i3−i3i3−2i32i32i3−2i3i3−i3−i3i3−i3i3i3−i3000000000000000000000000000000000000
χ1474-4-44-24-200002-422-22-2-44−232323−230000-21-211022-2-1-1122-2-1-1-1-11100002i3−2i300000000−232323−233−3−33000033−3−3−3−33300003i−3i−3i3i00003i−3i−3i3i−3i3i3i−3i0000−i3i3i3−i32i3−2i3−2i32i3−i3i3i3−i3i3−i3−i3i3000000000000000000000000000000000000
χ1484-4-44-2-24000022-4-442-22-223−23−232323−23−23231-2-2110-1-1122-222-2-1-1-1-11100000000000000−333−323−23−23230000−3−33333−3−3−333−3000023−23−2323−3−33333−3−33-3-330000000033-3-3-3-333000000000000000000000000000000000000
χ1494-4-44-2-24000022-4-442-22-223−23−2323−232323−231-2-2110-1-1122-222-2-1-1-1-11100000000000000−333−323−23−23230000−3−33333−3−33−3−330000−232323−2333−3−3−3−333-333-300000000-3-33333-3-3000000000000000000000000000000000000
χ1504-4-44-2-24000022-4-442-22-2−232323−2323−23−23231-2-2110-1-1122-222-2-1-1-1-111000000000000003−3−33−232323−23000033−3−3−3−333−333−3000023−23−2323−3−33333−3−3-333-300000000-3-33333-3-3000000000000000000000000000000000000
χ1514-4-44-2-24000022-4-442-22-2−232323−23−232323−231-2-2110-1-1122-222-2-1-1-1-111000000000000003−3−33−232323−23000033−3−3−3−3333−3−330000−232323−2333−3−3−3−3333-3-330000000033-3-3-3-333000000000000000000000000000000000000
χ1524-4-44-2-2-200002222-22-22-223−23−232323−23−2323111−1−3i32−1+3i320-1-11-1-11-1-111+3i321−3i321+3i321−3i32−1−3i32−1+3i320000−2i32i300000000−333−3−333−33i−3i−3i3iζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11−333−33i−3i−3i3i−333−3ζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ113-3-33i3−i3−i3i3i3−i3−i3i3−3−i32−3+i323+i323−i323+i323−i32−3−i32−3+i32000000000000000000000000000000000000
χ1534-4-44-2-2-200002222-22-22-223−23−232323−23−2323111−1+3i32−1−3i320-1-11-1-11-1-111−3i321+3i321−3i321+3i32−1+3i32−1−3i3200002i3−2i300000000−333−3−333−3−3i3i3i−3i−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ112ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11−333−3−3i3i3i−3i−333−3−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ112ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ113-3-33−i3i3i3−i3−i3i3i3−i3−3+i32−3−i323−i323+i323−i323+i32−3+i32−3−i32000000000000000000000000000000000000
χ1544-4-44-2-2-200002222-22-22-223−23−2323−232323−23111−1−3i32−1+3i320-1-11-1-11-1-111+3i321−3i321+3i321−3i32−1−3i32−1+3i3200002i3−2i300000000−333−3−333−33i−3i−3i3iζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ113−3−33−3i3i3i−3i3−3−33−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11ζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11-333-3−i3i3i3−i3−i3i3i3−i33+i323−i32−3−i32−3+i32−3−i32−3+i323+i323−i32000000000000000000000000000000000000
χ1554-4-44-2-2-200002222-22-22-223−23−2323−232323−23111−1+3i32−1−3i320-1-11-1-11-1-111−3i321+3i321−3i321+3i32−1+3i32−1−3i320000−2i32i300000000−333−3−333−3−3i3i3i−3i−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ112ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ113−3−333i−3i−3i3i3−3−332ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11-333-3i3−i3−i3i3i3−i3−i3i33−i323+i32−3+i32−3−i32−3+i32−3−i323−i323+i32000000000000000000000000000000000000
χ1564-4-44-2-2-200002222-22-22-2−232323−2323−23−2323111−1−3i32−1+3i320-1-11-1-11-1-111+3i321−3i321+3i321−3i32−1−3i32−1+3i3200002i3−2i3000000003−3−333−3−33−3i3i3i−3i−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11ζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11−333−33i−3i−3i3i−333−3ζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11-333-3−i3i3i3−i3−i3i3i3−i33+i323−i32−3−i32−3+i32−3−i32−3+i323+i323−i32000000000000000000000000000000000000
χ1574-4-44-2-2-200002222-22-22-2−232323−2323−23−2323111−1+3i32−1−3i320-1-11-1-11-1-111−3i321+3i321−3i321+3i32−1+3i32−1−3i320000−2i32i3000000003−3−333−3−333i−3i−3i3i2ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11−333−3−3i3i3i−3i−333−3−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ112ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11-333-3i3−i3−i3i3i3−i3−i3i33−i323+i32−3+i32−3−i32−3+i32−3−i323−i323+i32000000000000000000000000000000000000
χ1584-4-44-2-2-200002222-22-22-2−232323−23−232323−23111−1−3i32−1+3i320-1-11-1-11-1-111+3i321−3i321+3i321−3i32−1−3i32−1+3i320000−2i32i3000000003−3−333−3−33−3i3i3i−3i−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11ζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ113−3−33−3i3i3i−3i3−3−33−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11ζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ113-3-33i3−i3−i3i3i3−i3−i3i3−3−i32−3+i323+i323−i323+i323−i32−3−i32−3+i32000000000000000000000000000000000000
χ1594-4-44-2-2-200002222-22-22-2−232323−23−232323−23111−1+3i32−1−3i320-1-11-1-11-1-111−3i321+3i321−3i321+3i32−1+3i32−1−3i3200002i3−2i3000000003−3−333−3−333i−3i−3i3i2ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ113−3−333i−3i−3i3i3−3−332ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ113-3-33−i3i3i3−i3−i3i3i3−i3−3+i32−3−i323−i323+i323−i323+i32−3+i32−3−i32000000000000000000000000000000000000

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