Finite Group Databasebeta

← Group #13144775

Character table — Group #13144775

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140
size111111111111222222222222222222444444444444666666666666666699999999999912121212121212121212121212121212121212121212121218181818181818181818181818181818181824242424242424242424242424242424363636363636363636363636
order123344661212121224668888121224242424242424242244666612121212333366661212121212121212888824242424242424246666121212122424242424242424242424242424242444448812121212121212122424242466666666121212121212121288882424242424242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ51111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-11-111-1-111-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1
χ61111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-11-111-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111
χ71111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-11-11-1-111-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111
χ81111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-11-11-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1
χ91111-1-111-1-1-1-1-11-1-111-1-1111111-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i-1-1-1-1111111111111-1-1-1-1-1-1-1-1ii−i−ii−iiiii−i−i−i−iii−i−i11111111-1-1-1-1-1-1-1-1i−ii−iii−i−iii−i−i
χ101111-1-111-1-1-1-1-11-1-111-1-1111111-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii-1-1-1-1111111111111-1-1-1-1-1-1-1-1−i−iii−ii−i−i−i−iiiii−i−iii11111111-1-1-1-1-1-1-1-1−ii−ii−i−iii−i−iii
χ111111-1-111-1-1-1-1-11-1-111-1-1111111-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i-1-1-1-1111111111111-1-1-1-1-1-1-1-1ii−i−ii−iiiii−i−i−i−iii−i−i-1-1-1-1-1-1-1-111111111−ii−ii−i−iii−i−iii
χ121111-1-111-1-1-1-1-11-1-111-1-1111111-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii-1-1-1-1111111111111-1-1-1-1-1-1-1-1−i−iii−ii−i−i−i−iiiii−i−iii-1-1-1-1-1-1-1-111111111i−ii−iii−i−iii−i−i
χ131111-1-111-1-1-1-1-11-1-1-1-11111-1-1-1-111111-1-1111-1-1-1-11111111111-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-1-1-1-1-111111111−i−iiii−i−i−i−i−iiiiiii−i−i1111-1-1-1-1-1-1-1-11111i−i−iiii−i−i−i−iii
χ141111-1-111-1-1-1-1-11-1-1-1-11111-1-1-1-111111-1-1111-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii-1-1-1-11111-1-1-1-1-1-1-1-111111111ii−i−i−iiiiii−i−i−i−i−i−iii1111-1-1-1-1-1-1-1-11111−iii−i−i−iiiii−i−i
χ151111-1-111-1-1-1-1-11-1-1-1-11111-1-1-1-11111-111-1-1-11111-1-111111111-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-1-1-1-1-111111111−i−iiii−i−i−i−i−iiiiiii−i−i-1-1-1-111111111-1-1-1-1−iii−i−i−iiiii−i−i
χ161111-1-111-1-1-1-1-11-1-1-1-11111-1-1-1-11111-111-1-1-11111-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii-1-1-1-11111-1-1-1-1-1-1-1-111111111ii−i−i−iiiiii−i−i−i−i−i−iii-1-1-1-111111111-1-1-1-1i−i−iiii−i−i−i−iii
χ172222222222222222222222222222222222222222222-1-1-12-1-1-122-1-1-1-1-1-10000000000002-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000000000000000002-1-1-12-1-1-12-1-1-12-1-1-1000000000000
χ18222222222222222222222222222222222222222222-12-1-1-12-1-1-1-122-1-1-1-1000000000000-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000000000000000-12-1-1-12-1-1-12-1-1-12-1-1000000000000
χ19222222222222222222222222222222222222222222-1-12-1-1-12-1-1-1-1-122-1-1000000000000-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1000000000000000000-1-12-1-1-12-1-1-12-1-1-12-1000000000000
χ20222222222222222222222222222222222222222222-1-1-12-1-1-12-1-1-1-1-1-122000000000000-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122000000000000000000-1-1-12-1-1-12-1-1-12-1-1-12000000000000
χ21222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-22-1-1-12-1-1-122-1-1-1-1-1-10000000000002-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000000000000000-2111-2111-2111-2111000000000000
χ22222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-12-1-1-12-1-1-1-122-1-1-1-1000000000000-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-10000000000000000001-2111-2111-2111-211000000000000
χ23222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-1-12-1-1-12-1-1-1-1-122-1-1000000000000-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-100000000000000000011-2111-2111-2111-21000000000000
χ24222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-1-1-12-1-1-12-1-1-1-1-1-122000000000000-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122000000000000000000111-2111-2111-2111-2000000000000
χ252222222222222222-2-2-2-222-2-2-2-2-2-2-2-22-22-222-2-222-2-22-1-1-12-1-1-122-1-1-1-1-1-10000000000002-1-1-12-1-1-1-2-2111111-2-21111110000000000000000002-1-1-1-21112-1-1-1-2111000000000000
χ262222222222222222-2-2-2-222-2-2-2-2-2-2-2-22-22-222-2-222-2-2-12-1-1-12-1-1-1-122-1-1-1-1000000000000-12-1-1-12-1-111-2-2111111-2-21111000000000000000000-12-1-11-211-12-1-11-211000000000000
χ272222222222222222-2-2-2-222-2-2-2-2-2-2-2-22-22-222-2-222-2-2-1-12-1-1-12-1-1-1-1-122-1-1000000000000-1-12-1-1-12-11111-2-2111111-2-211000000000000000000-1-12-111-21-1-12-111-21000000000000
χ282222222222222222-2-2-2-222-2-2-2-2-2-2-2-22-22-222-2-222-2-2-1-1-12-1-1-12-1-1-1-1-1-122000000000000-1-1-12-1-1-12111111-2-2111111-2-2000000000000000000-1-1-12111-2-1-1-12111-2000000000000
χ292222222222222222-2-2-2-222-2-2-2-2-2-2-2-2-22-22-2-222-2-2222-1-1-12-1-1-122-1-1-1-1-1-10000000000002-1-1-12-1-1-1-2-2111111-2-2111111000000000000000000-21112-1-1-1-21112-1-1-1000000000000
χ302222222222222222-2-2-2-222-2-2-2-2-2-2-2-2-22-22-2-222-2-222-12-1-1-12-1-1-1-122-1-1-1-1000000000000-12-1-1-12-1-111-2-2111111-2-211110000000000000000001-211-12-1-11-211-12-1-1000000000000
χ312222222222222222-2-2-2-222-2-2-2-2-2-2-2-2-22-22-2-222-2-222-1-12-1-1-12-1-1-1-1-122-1-1000000000000-1-12-1-1-12-11111-2-2111111-2-21100000000000000000011-21-1-12-111-21-1-12-1000000000000
χ322222222222222222-2-2-2-222-2-2-2-2-2-2-2-2-22-22-2-222-2-222-1-1-12-1-1-12-1-1-1-1-1-122000000000000-1-1-12-1-1-12111111-2-2111111-2-2000000000000000000111-2-1-1-12111-2-1-1-12000000000000
χ33222222222222-2-2-2-20000-2-2000000000000000000002222222222222222222222222222-2-2-2-2-2-2-2-200000000000000000000-2-200000000-2-2-2-20000000000000000000000000000
χ34222222222222-2-2-2-20000-2-2000000000000000000002222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000220000000022220000000000000000000000000000
χ352222-2-222-2-2-2-22-2220000-2-20000000000000000000022222222-2-2-2-2-2-2-2-22i2i−2i−2i2i2i2i2i−2i−2i−2i−2i2222-2-2-2-200000000000000000000−2i2i00000000−2i−2i2i2i0000000000000000000000000000
χ362222-2-222-2-2-2-22-2220000-2-20000000000000000000022222222-2-2-2-2-2-2-2-2−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i2222-2-2-2-2000000000000000000002i−2i000000002i2i−2i−2i0000000000000000000000000000
χ372222-2-222-2-2-2-2-22-2-222-2-2222222-2-2-2-222-2-22222-2-2-2-22-1-1-12-1-1-1-2-2111111000000000000-21112-1-1-122-1-1-1-1-1-1-2-21111110000000000000000002-1-1-12-1-1-1-2111-2111000000000000
χ382222-2-222-2-2-2-2-22-2-222-2-2222222-2-2-2-222-2-22222-2-2-2-2-12-1-1-12-1-111-2-211110000000000001-211-12-1-1-1-122-1-1-1-111-2-21111000000000000000000-12-1-1-12-1-11-2111-211000000000000
χ392222-2-222-2-2-2-2-22-2-222-2-2222222-2-2-2-222-2-22222-2-2-2-2-1-12-1-1-12-11111-2-21100000000000011-21-1-12-1-1-1-1-122-1-11111-2-211000000000000000000-1-12-1-1-12-111-2111-21000000000000
χ402222-2-222-2-2-2-2-22-2-222-2-2222222-2-2-2-222-2-22222-2-2-2-2-1-1-12-1-1-12111111-2-2000000000000111-2-1-1-12-1-1-1-1-1-122111111-2-2000000000000000000-1-1-12-1-1-12111-2111-2000000000000
χ412222-2-222-2-2-2-2-22-2-222-2-2222222-2-2-2-2-2-222-2-2-2-222222-1-1-12-1-1-1-2-2111111000000000000-21112-1-1-122-1-1-1-1-1-1-2-2111111000000000000000000-2111-21112-1-1-12-1-1-1000000000000
χ422222-2-222-2-2-2-2-22-2-222-2-2222222-2-2-2-2-2-222-2-2-2-22222-12-1-1-12-1-111-2-211110000000000001-211-12-1-1-1-122-1-1-1-111-2-211110000000000000000001-2111-211-12-1-1-12-1-1000000000000
χ432222-2-222-2-2-2-2-22-2-222-2-2222222-2-2-2-2-2-222-2-2-2-22222-1-12-1-1-12-11111-2-21100000000000011-21-1-12-1-1-1-1-122-1-11111-2-21100000000000000000011-2111-21-1-12-1-1-12-1000000000000
χ442222-2-222-2-2-2-2-22-2-222-2-2222222-2-2-2-2-2-222-2-2-2-22222-1-1-12-1-1-12111111-2-2000000000000111-2-1-1-12-1-1-1-1-1-122111111-2-2000000000000000000111-2111-2-1-1-12-1-1-12000000000000
χ452222-2-222-2-2-2-2-22-2-2-2-22222-2-2-2-222222-2-2222-2-2-2-2222-1-1-12-1-1-1-2-2111111000000000000-21112-1-1-1-2-211111122-1-1-1-1-1-10000000000000000002-1-1-1-2111-21112-1-1-1000000000000
χ462222-2-222-2-2-2-2-22-2-2-2-22222-2-2-2-222222-2-2222-2-2-2-222-12-1-1-12-1-111-2-211110000000000001-211-12-1-111-2-21111-1-122-1-1-1-1000000000000000000-12-1-11-2111-211-12-1-1000000000000
χ472222-2-222-2-2-2-2-22-2-2-2-22222-2-2-2-222222-2-2222-2-2-2-222-1-12-1-1-12-11111-2-21100000000000011-21-1-12-11111-2-211-1-1-1-122-1-1000000000000000000-1-12-111-2111-21-1-12-1000000000000
χ482222-2-222-2-2-2-2-22-2-2-2-22222-2-2-2-222222-2-2222-2-2-2-222-1-1-12-1-1-12111111-2-2000000000000111-2-1-1-12111111-2-2-1-1-1-1-1-122000000000000000000-1-1-12111-2111-2-1-1-12000000000000
χ492222-2-222-2-2-2-2-22-2-2-2-22222-2-2-2-22222-222-2-2-22222-2-22-1-1-12-1-1-1-2-2111111000000000000-21112-1-1-1-2-211111122-1-1-1-1-1-1000000000000000000-21112-1-1-12-1-1-1-2111000000000000
χ502222-2-222-2-2-2-2-22-2-2-2-22222-2-2-2-22222-222-2-2-22222-2-2-12-1-1-12-1-111-2-211110000000000001-211-12-1-111-2-21111-1-122-1-1-1-10000000000000000001-211-12-1-1-12-1-11-211000000000000
χ512222-2-222-2-2-2-2-22-2-2-2-22222-2-2-2-22222-222-2-2-22222-2-2-1-12-1-1-12-11111-2-21100000000000011-21-1-12-11111-2-211-1-1-1-122-1-100000000000000000011-21-1-12-1-1-12-111-21000000000000
χ522222-2-222-2-2-2-2-22-2-2-2-22222-2-2-2-22222-222-2-2-22222-2-2-1-1-12-1-1-12111111-2-2000000000000111-2-1-1-12111111-2-2-1-1-1-1-1-122000000000000000000111-2-1-1-12-1-1-12111-2000000000000
χ532-2222i−2i-2-22i2i−2i−2i00002−2−i2i20022−2−2−i2−i2i2i20000000000002222-2-2-2-22i−2i2i−2i2i−2i2i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13000000002−22−22−22−2−i2i2−i2i2−i2i2−i2i21+i−1−i1−i−1+i001+i1+i−1−i−1−i1−i1−i−1+i−1+i00000000000000000000000000000000
χ542-2222i−2i-2-22i2i−2i−2i00002−2−i2i20022−2−2−i2−i2i2i20000000000002222-2-2-2-22i−2i2i−2i2i−2i2i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ232ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ13000000002−22−22−22−2−i2i2−i2i2−i2i2−i2i2−1−i1+i−1+i1−i00−1−i−1−i1+i1+i−1+i−1+i1−i1−i00000000000000000000000000000000
χ552-2222i−2i-2-22i2i−2i−2i0000−22i2−i200−2−222i2i2−i2−i20000000000002222-2-2-2-22i−2i2i−2i2i−2i2i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ1300000000−22−22−22−22i2−i2i2−i2i2−i2i2−i2−1−i1+i−1+i1−i00−1−i−1−i1+i1+i−1+i−1+i1−i1−i00000000000000000000000000000000
χ562-2222i−2i-2-22i2i−2i−2i0000−22i2−i200−2−222i2i2−i2−i20000000000002222-2-2-2-22i−2i2i−2i2i−2i2i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ232ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ1300000000−22−22−22−22i2−i2i2−i2i2−i2i2−i21+i−1−i1−i−1+i001+i1+i−1−i−1−i1−i1−i−1+i−1+i00000000000000000000000000000000
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χ582-222−2i2i-2-2−2i−2i2i2i00002−2i2−i20022−2−2i2i2−i2−i20000000000002222-2-2-2-2−2i2i−2i2i−2i2i−2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ13−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23000000002−22−22−22−2i2−i2i2−i2i2−i2i2−i2−1+i1−i−1−i1+i00−1+i−1+i1−i1−i−1−i−1−i1+i1+i00000000000000000000000000000000
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χ1356-6−3+3i3−3−3i36i−6i3−3i33+3i36ζ146ζ22−6ζ14−6ζ220000−32323i2−3i200−3ζ5+3ζ233ζ7−3ζ133ζ5−3ζ23−3ζ7+3ζ13−3ζ5−3ζ23−3ζ7−3ζ133ζ5+3ζ233ζ7+3ζ1300000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ23−2ζ72ζ232ζ72ζ52ζ13−2ζ5−2ζ13000000000000000000000000−1−i1+i−1+i1−i00−ζ14+ζ20ζ4−ζ22ζ14−ζ20−ζ4+ζ22ζ14+ζ20ζ4+ζ22−ζ14−ζ20−ζ4−ζ2200000000000000000000000000000000
χ1366-6−3+3i3−3−3i36i−6i3−3i33+3i36ζ146ζ22−6ζ14−6ζ220000−32323i2−3i200−3ζ5+3ζ233ζ7−3ζ133ζ5−3ζ23−3ζ7+3ζ13−3ζ5−3ζ23−3ζ7−3ζ133ζ5+3ζ233ζ7+3ζ130000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ232ζ7−2ζ23−2ζ7−2ζ5−2ζ132ζ52ζ130000000000000000000000001+i−1−i1−i−1+i00ζ14−ζ20−ζ4+ζ22−ζ14+ζ20ζ4−ζ22−ζ14−ζ20−ζ4−ζ22ζ14+ζ20ζ4+ζ2200000000000000000000000000000000
χ1376-6−3+3i3−3−3i3−6i6i3−3i33+3i3−6ζ14−6ζ226ζ146ζ22000032−323i2−3i2003ζ5−3ζ23−3ζ7+3ζ13−3ζ5+3ζ233ζ7−3ζ13−3ζ5−3ζ23−3ζ7−3ζ133ζ5+3ζ233ζ7+3ζ130000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ52ζ13−2ζ5−2ζ13−2ζ23−2ζ72ζ232ζ70000000000000000000000001−i−1+i1+i−1−i00−ζ14−ζ20−ζ4−ζ22ζ14+ζ20ζ4+ζ22ζ14−ζ20−ζ4+ζ22−ζ14+ζ20ζ4−ζ2200000000000000000000000000000000
χ1386-6−3+3i3−3−3i3−6i6i3−3i33+3i3−6ζ14−6ζ226ζ146ζ22000032−323i2−3i2003ζ5−3ζ23−3ζ7+3ζ13−3ζ5+3ζ233ζ7−3ζ13−3ζ5−3ζ23−3ζ7−3ζ133ζ5+3ζ233ζ7+3ζ1300000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ52ζ132ζ232ζ7−2ζ23−2ζ7000000000000000000000000−1+i1−i−1−i1+i00ζ14+ζ20ζ4+ζ22−ζ14−ζ20−ζ4−ζ22−ζ14+ζ20ζ4−ζ22ζ14−ζ20−ζ4+ζ2200000000000000000000000000000000
χ1396-6−3+3i3−3−3i3−6i6i3−3i33+3i3−6ζ14−6ζ226ζ146ζ220000−3232−3i23i200−3ζ5+3ζ233ζ7−3ζ133ζ5−3ζ23−3ζ7+3ζ133ζ5+3ζ233ζ7+3ζ13−3ζ5−3ζ23−3ζ7−3ζ130000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ52ζ13−2ζ5−2ζ13−2ζ23−2ζ72ζ232ζ7000000000000000000000000−1+i1−i−1−i1+i00ζ14+ζ20ζ4+ζ22−ζ14−ζ20−ζ4−ζ22−ζ14+ζ20ζ4−ζ22ζ14−ζ20−ζ4+ζ2200000000000000000000000000000000
χ1406-6−3+3i3−3−3i3−6i6i3−3i33+3i3−6ζ14−6ζ226ζ146ζ220000−3232−3i23i200−3ζ5+3ζ233ζ7−3ζ133ζ5−3ζ23−3ζ7+3ζ133ζ5+3ζ233ζ7+3ζ13−3ζ5−3ζ23−3ζ7−3ζ1300000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ52ζ132ζ232ζ7−2ζ23−2ζ70000000000000000000000001−i−1+i1+i−1−i00−ζ14−ζ20−ζ4−ζ22ζ14+ζ20ζ4+ζ22ζ14−ζ20−ζ4+ζ22−ζ14+ζ20ζ4−ζ2200000000000000000000000000000000

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