Finite Group Databasebeta

← Group #13138777

Character table — Group #13138777

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size11111111222222222222222222226666666666666666121212121212121212121212121212121212121212121212181818181818181818181818181818181818181818181818363636363636363636363636363636363636363636363636
order122244443666888812121212242424242424242433666666121212121212121236661212121224242424242424242424242424242424444488881212121212121212242424242424242424446688881212121212122424242424242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-11111
χ5111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ6111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111
χ7111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-111-1-1-1-11111
χ8111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-11111-1-1-1-1
χ91111-1-1-1-11111ii−i−i-1-1-1-1iiii−i−i−i−i11111111-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i1-11-111i−ii−i11-1-1-1-1ii−i−iii−i−i
χ101111-1-1-1-11111ii−i−i-1-1-1-1iiii−i−i−i−i11111111-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i-11-11-1-1−ii−ii-1-11111−i−iii−i−iii
χ111111-1-1-1-11111ii−i−i-1-1-1-1iiii−i−i−i−i11111111-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i-1-111−i−iii-1-1-1-11111−i−i−i−iiiii1-1-1111−iii−i-1-111-1-1ii−i−i−i−iii
χ121111-1-1-1-11111ii−i−i-1-1-1-1iiii−i−i−i−i11111111-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i-1-111−i−iii-1-1-1-11111−i−i−i−iiiii-111-1-1-1i−i−ii11-1-111−i−iiiii−i−i
χ131111-1-1-1-11111−i−iii-1-1-1-1−i−i−i−iiiii11111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii1-11-111−ii−ii11-1-1-1-1−i−iii−i−iii
χ141111-1-1-1-11111−i−iii-1-1-1-1−i−i−i−iiiii11111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii-11-11-1-1i−ii−i-1-11111ii−i−iii−i−i
χ151111-1-1-1-11111−i−iii-1-1-1-1−i−i−i−iiiii11111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i1-1-1111i−i−ii-1-111-1-1−i−iiiii−i−i
χ161111-1-1-1-11111−i−iii-1-1-1-1−i−i−i−iiiii11111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i-111-1-1-1−iii−i11-1-111ii−i−i−i−iii
χ1722222222222222222222222222222-1-1-1222-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000000000002200-1-100220000-1-1-1-1-1-10000
χ1822222222222222222222222222222-1-1-1222-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000000000-2-2001100-2-200001111110000
χ192222222222222222222222222222-1222-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000022002200-1-1-1-1000000-1-1-1-1
χ202222222222222222222222222222-1222-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000-2-200-2-20011110000001111
χ21222222222222-2-2-2-22222-2-2-2-2-2-2-2-22-1-1-1222-122-1-1-1-122-1-1-1-1-1-1-1-11111-2-2-2-2111111110000000000000000000000002200-1-100-2-20000-1-111110000
χ22222222222222-2-2-2-22222-2-2-2-2-2-2-2-22-1-1-1222-122-1-1-1-122-1-1-1-1-1-1-1-11111-2-2-2-211111111000000000000000000000000-2-200110022000011-1-1-1-10000
χ23222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-1222-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111000000000000000000000000002200-2-200-1-1-1-10000001111
χ24222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-1222-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111100000000000000000000000000-2-20022001111000000-1-1-1-1
χ252222-2-2-2-222222i2i−2i−2i-2-2-2-22i2i2i2i−2i−2i−2i−2i2-1-1-1222-1-2-21111-2-2-1-1-1-11111−i−iii2i2i−2i−2i−i−i−i−iiiii0000000000000000000000002-200-1-1002i−2i000011−i−iii0000
χ262222-2-2-2-222222i2i−2i−2i-2-2-2-22i2i2i2i−2i−2i−2i−2i2-1-1-1222-1-2-21111-2-2-1-1-1-11111−i−iii2i2i−2i−2i−i−i−i−iiiii000000000000000000000000-22001100−2i2i0000-1-1ii−i−i0000
χ272222-2-2-2-222222i2i−2i−2i-2-2-2-22i2i2i2i−2i−2i−2i−2i-1222-1-1-1211-2-2-2-211-1-1-1-111112i2i−2i−2i−i−iii−i−i−i−iiiii000000000000000000000000002-2002i−2i00-1-111000000−i−iii
χ282222-2-2-2-222222i2i−2i−2i-2-2-2-22i2i2i2i−2i−2i−2i−2i-1222-1-1-1211-2-2-2-211-1-1-1-111112i2i−2i−2i−i−iii−i−i−i−iiiii00000000000000000000000000-2200−2i2i0011-1-1000000ii−i−i
χ292222-2-2-2-22222−2i−2i2i2i-2-2-2-2−2i−2i−2i−2i2i2i2i2i2-1-1-1222-1-2-21111-2-2-1-1-1-11111ii−i−i−2i−2i2i2iiiii−i−i−i−i0000000000000000000000002-200-1-100−2i2i000011ii−i−i0000
χ302222-2-2-2-22222−2i−2i2i2i-2-2-2-2−2i−2i−2i−2i2i2i2i2i2-1-1-1222-1-2-21111-2-2-1-1-1-11111ii−i−i−2i−2i2i2iiiii−i−i−i−i000000000000000000000000-220011002i−2i0000-1-1−i−iii0000
χ312222-2-2-2-22222−2i−2i2i2i-2-2-2-2−2i−2i−2i−2i2i2i2i2i-1222-1-1-1211-2-2-2-211-1-1-1-11111−2i−2i2i2iii−i−iiiii−i−i−i−i000000000000000000000000002-200−2i2i00-1-111000000ii−i−i
χ322222-2-2-2-22222−2i−2i2i2i-2-2-2-2−2i−2i−2i−2i2i2i2i2i-1222-1-1-1211-2-2-2-211-1-1-1-11111−2i−2i2i2iii−i−iiiii−i−i−i−i00000000000000000000000000-22002i−2i0011-1-1000000−i−iii
χ3322-2-222-2-222-2-2000022-2-20000000022-2-22-2-22-2-222-2-2222-2-22-2-22200000000000000002i−2i2i−2i00002i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000
χ3422-2-222-2-222-2-2000022-2-20000000022-2-22-2-22-2-222-2-2222-2-22-2-2220000000000000000−2i2i−2i2i0000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000
χ3522-2-2-2-22222-2-20000-2-2220000000022-2-22-2-2222-2-222-2-22-2-2222-2-200000000000000002i−2i−2i2i00002i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000
χ3622-2-2-2-22222-2-20000-2-2220000000022-2-22-2-2222-2-222-2-22-2-2222-2-20000000000000000−2i2i2i−2i0000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000
χ372-22-22i−2i2i−2i2-22-200002i−2i2i−2i00000000222-2-22-2-22i−2i2i−2i2i−2i2i−2i22-2-22i−2i2i−2i000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000002ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13000000000000000000000000
χ382-22-22i−2i2i−2i2-22-200002i−2i2i−2i00000000222-2-22-2-22i−2i2i−2i2i−2i2i−2i22-2-22i−2i2i−2i00000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ232ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ13000000000000000000000000
χ392-22-2−2i2i−2i2i2-22-20000−2i2i−2i2i00000000222-2-22-2-2−2i2i−2i2i−2i2i−2i2i22-2-2−2i2i−2i2i00000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ132ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23000000000000000000000000
χ402-22-2−2i2i−2i2i2-22-20000−2i2i−2i2i00000000222-2-22-2-2−2i2i−2i2i−2i2i−2i2i22-2-2−2i2i−2i2i000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000002ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ13−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23000000000000000000000000
χ412-2-222i−2i−2i2i2-2-222ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132i−2i−2i2i2ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ1322-22-2-22-2−2i2i2i−2i−2i2i2i−2i2-22-2−2i2i2i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13000000000000000000000000000000000000000000000000
χ422-2-222i−2i−2i2i2-2-222ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132i−2i−2i2i2ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ132-11-1-2-221−2i2i−iii−i2i−2i-11-11i−i−ii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ130000000000000000000000000000−i3i3000000003−3−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000
χ432-2-222i−2i−2i2i2-2-222ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132i−2i−2i2i2ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ132-11-1-2-221−2i2i−iii−i2i−2i-11-11i−i−ii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ130000000000000000000000000000i3−i300000000−33ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000
χ442-2-222i−2i−2i2i2-2-222ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132i−2i−2i2i2ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13-12-2211-1-2i−i2i−2i−2i2i−ii-11-11i−i−ii2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ130000000000000000000000000000000000−i3i33−3000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13
χ452-2-222i−2i−2i2i2-2-222ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132i−2i−2i2i2ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13-12-2211-1-2i−i2i−2i−2i2i−ii-11-11i−i−ii2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ130000000000000000000000000000000000i3−i3−33000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13
χ462-2-222i−2i−2i2i2-2-22−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132i−2i−2i2i−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ232ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ1322-22-2-22-2−2i2i2i−2i−2i2i2i−2i2-22-2−2i2i2i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ232ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ13000000000000000000000000000000000000000000000000
χ472-2-222i−2i−2i2i2-2-22−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132i−2i−2i2i−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ232ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132-11-1-2-221−2i2i−iii−i2i−2i-11-11i−i−iiζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ130000000000000000000000000000−i3i3000000003−3ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000
χ482-2-222i−2i−2i2i2-2-22−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132i−2i−2i2i−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ232ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132-11-1-2-221−2i2i−iii−i2i−2i-11-11i−i−iiζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ130000000000000000000000000000i3−i300000000−33−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000
χ492-2-222i−2i−2i2i2-2-22−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132i−2i−2i2i−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ232ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ13-12-2211-1-2i−i2i−2i−2i2i−ii-11-11i−i−ii−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ130000000000000000000000000000000000−i3i33−3000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13
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χ1096-6-666i−6i−6i6i-333-36ζ7+6ζ23−6ζ7−6ζ23−6ζ5−6ζ136ζ5+6ζ13−3i3i3i−3i−3ζ7−3ζ23−3ζ7−3ζ233ζ7+3ζ233ζ7+3ζ233ζ5+3ζ133ζ5+3ζ13−3ζ5−3ζ13−3ζ5−3ζ130000000000000000000000000000000000000000000000003−3−33i3−i3−i3i3ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23000000000000000000000000
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χ1146-6-66−6i6i6i−6i-333-3−6ζ5−6ζ136ζ5+6ζ136ζ7+6ζ23−6ζ7−6ζ233i−3i−3i3i3ζ5+3ζ133ζ5+3ζ13−3ζ5−3ζ13−3ζ5−3ζ13−3ζ7−3ζ23−3ζ7−3ζ233ζ7+3ζ233ζ7+3ζ23000000000000000000000000000000000000000000000000−333−3i3−i3−i3i3ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13000000000000000000000000
χ1156-6-66−6i6i6i−6i-333-36ζ5+6ζ13−6ζ5−6ζ13−6ζ7−6ζ236ζ7+6ζ233i−3i−3i3i−3ζ5−3ζ13−3ζ5−3ζ133ζ5+3ζ133ζ5+3ζ133ζ7+3ζ233ζ7+3ζ23−3ζ7−3ζ23−3ζ7−3ζ230000000000000000000000000000000000000000000000003−3−33−i3i3i3−i3ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13000000000000000000000000
χ1166-6-66−6i6i6i−6i-333-36ζ5+6ζ13−6ζ5−6ζ13−6ζ7−6ζ236ζ7+6ζ233i−3i−3i3i−3ζ5−3ζ13−3ζ5−3ζ133ζ5+3ζ133ζ5+3ζ133ζ7+3ζ233ζ7+3ζ23−3ζ7−3ζ23−3ζ7−3ζ23000000000000000000000000000000000000000000000000−333−3i3−i3−i3i3−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.