Finite Group Databasebeta

← Group #13144036

Character table — Group #13144036

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140
size111111111111222222222222222222444444444444666666666666666699999999999912121212121212121212121212121212121212121212121218181818181818181818181818181818181824242424242424242424242424242424363636363636363636363636
order1233446612121212244444661212121212121212121224668812122424242433336666121212121212121288882424242424242424666612121212121212121212121212121212121212128888882424242424242424242424246666121212122424242424242424246688121224242424
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
χ51111111111111-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ61111111111111-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1
χ71111111111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1
χ81111111111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111
χ91111-1-111-1-1-1-1-1ii−i−i1-1-1iiii−i−i−i−i111-111i−i-1-1ii−i−i11111111-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−ii−i11-1-1ii−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−i1-111i−i-1-1ii−i−i
χ101111-1-111-1-1-1-1-1ii−i−i1-1-1iiii−i−i−i−i111-111i−i-1-1ii−i−i11111111-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i−ii-1-111−i−iii-1-1-1-111111111-1-1-1-1iiii−i−i−i−i-11-1-1−ii11−i−iii
χ111111-1-111-1-1-1-1-1ii−i−i1-1-1iiii−i−i−i−i11-11-1-1−ii11−i−iii11111111-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−ii−i11-1-1ii−i−i1111-1-1-1-1-1-1-1-11111−i−i−i−iiiii-11-1-1−ii11−i−iii
χ121111-1-111-1-1-1-1-1ii−i−i1-1-1iiii−i−i−i−i11-11-1-1−ii11−i−iii11111111-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i−ii-1-111−i−iii-1-1-1-11111-1-1-1-11111−i−i−i−iiiii1-111i−i-1-1ii−i−i
χ131111-1-111-1-1-1-1-1−i−iii1-1-1−i−i−i−iiiii111-111−ii-1-1−i−iii11111111-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiiii−i-1-111ii−i−i-1-1-1-111111111-1-1-1-1−i−i−i−iiiii-11-1-1i−i11ii−i−i
χ141111-1-111-1-1-1-1-1−i−iii1-1-1−i−i−i−iiiii111-111−ii-1-1−i−iii11111111-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii−ii11-1-1−i−iii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii1-111−ii-1-1−i−iii
χ151111-1-111-1-1-1-1-1−i−iii1-1-1−i−i−i−iiiii11-11-1-1i−i11ii−i−i11111111-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiiii−i-1-111ii−i−i-1-1-1-11111-1-1-1-11111iiii−i−i−i−i1-111−ii-1-1−i−iii
χ161111-1-111-1-1-1-1-1−i−iii1-1-1−i−i−i−iiiii11-11-1-1i−i11ii−i−i11111111-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii−ii11-1-1−i−iii1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i-11-1-1i−i11ii−i−i
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
χ252222222222222-2-2-2-2222-2-2-2-2-2-2-2-2222222-2-222-2-2-2-22-1-1-12-1-1-122-1-1-1-1-1-10000000000002-1-1-12-1-1-1-2-2111111-2-21111110000000000000000002-1-1-12-1-1-1-2111-2111000000000000
χ262222222222222-2-2-2-2222-2-2-2-2-2-2-2-2222222-2-222-2-2-2-2-12-1-1-12-1-1-1-122-1-1-1-1000000000000-12-1-1-12-1-111-2-2111111-2-21111000000000000000000-12-1-1-12-1-11-2111-211000000000000
χ272222222222222-2-2-2-2222-2-2-2-2-2-2-2-2222222-2-222-2-2-2-2-1-12-1-1-12-1-1-1-1-122-1-1000000000000-1-12-1-1-12-11111-2-2111111-2-211000000000000000000-1-12-1-1-12-111-2111-21000000000000
χ282222222222222-2-2-2-2222-2-2-2-2-2-2-2-2222222-2-222-2-2-2-2-1-1-12-1-1-12-1-1-1-1-1-122000000000000-1-1-12-1-1-12111111-2-2111111-2-2000000000000000000-1-1-12-1-1-12111-2111-2000000000000
χ292222222222222-2-2-2-2222-2-2-2-2-2-2-2-222-2-2-2-222-2-222222-1-1-12-1-1-122-1-1-1-1-1-10000000000002-1-1-12-1-1-1-2-2111111-2-2111111000000000000000000-2111-21112-1-1-12-1-1-1000000000000
χ302222222222222-2-2-2-2222-2-2-2-2-2-2-2-222-2-2-2-222-2-22222-12-1-1-12-1-1-1-122-1-1-1-1000000000000-12-1-1-12-1-111-2-2111111-2-211110000000000000000001-2111-211-12-1-1-12-1-1000000000000
χ312222222222222-2-2-2-2222-2-2-2-2-2-2-2-222-2-2-2-222-2-22222-1-12-1-1-12-1-1-1-1-122-1-1000000000000-1-12-1-1-12-11111-2-2111111-2-21100000000000000000011-2111-21-1-12-1-1-12-1000000000000
χ322222222222222-2-2-2-2222-2-2-2-2-2-2-2-222-2-2-2-222-2-22222-1-1-12-1-1-12-1-1-1-1-1-122000000000000-1-1-12-1-1-12111111-2-2111111-2-2000000000000000000111-2111-2-1-1-12-1-1-12000000000000
χ33222222222222-20000-2-2-200000000-2-20000000000002222222222222222222222222222-2-2-2-2-2-2-2-20000000000000000-2-20000-2-2-2-2000000000000000000000000000000000000
χ34222222222222-20000-2-2-200000000-2-20000000000002222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000002200002222000000000000000000000000000000000000
χ352222-2-222-2-2-2-220000-22200000000-2-200000000000022222222-2-2-2-2-2-2-2-22i2i−2i−2i2i2i2i2i−2i−2i−2i−2i2222-2-2-2-20000000000000000−2i2i0000−2i−2i2i2i000000000000000000000000000000000000
χ362222-2-222-2-2-2-220000-22200000000-2-200000000000022222222-2-2-2-2-2-2-2-2−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i2222-2-2-2-200000000000000002i−2i00002i2i−2i−2i000000000000000000000000000000000000
χ372222-2-222-2-2-2-2-22i2i−2i−2i2-2-22i2i2i2i−2i−2i−2i−2i222-2222i−2i-2-22i2i−2i−2i2-1-1-12-1-1-1-2-2111111000000000000-21112-1-1-12i2i−i−i−i−i−i−i−2i−2iiiiiii0000000000000000002-1-1-1-21112i−i−i−i−2iiii000000000000
χ382222-2-222-2-2-2-2-22i2i−2i−2i2-2-22i2i2i2i−2i−2i−2i−2i222-2222i−2i-2-22i2i−2i−2i-12-1-1-12-1-111-2-211110000000000001-211-12-1-1−i−i2i2i−i−i−i−iii−2i−2iiiii000000000000000000-12-1-11-211−i2i−i−ii−2iii000000000000
χ392222-2-222-2-2-2-2-22i2i−2i−2i2-2-22i2i2i2i−2i−2i−2i−2i222-2222i−2i-2-22i2i−2i−2i-1-12-1-1-12-11111-2-21100000000000011-21-1-12-1−i−i−i−i2i2i−i−iiiii−2i−2iii000000000000000000-1-12-111-21−i−i2i−iii−2ii000000000000
χ402222-2-222-2-2-2-2-22i2i−2i−2i2-2-22i2i2i2i−2i−2i−2i−2i222-2222i−2i-2-22i2i−2i−2i-1-1-12-1-1-12111111-2-2000000000000111-2-1-1-12−i−i−i−i−i−i2i2iiiiiii−2i−2i000000000000000000-1-1-12111-2−i−i−i2iiii−2i000000000000
χ412222-2-222-2-2-2-2-22i2i−2i−2i2-2-22i2i2i2i−2i−2i−2i−2i22-22-2-2−2i2i22−2i−2i2i2i2-1-1-12-1-1-1-2-2111111000000000000-21112-1-1-12i2i−i−i−i−i−i−i−2i−2iiiiiii000000000000000000-21112-1-1-1−2iiii2i−i−i−i000000000000
χ422222-2-222-2-2-2-2-22i2i−2i−2i2-2-22i2i2i2i−2i−2i−2i−2i22-22-2-2−2i2i22−2i−2i2i2i-12-1-1-12-1-111-2-211110000000000001-211-12-1-1−i−i2i2i−i−i−i−iii−2i−2iiiii0000000000000000001-211-12-1-1i−2iii−i2i−i−i000000000000
χ432222-2-222-2-2-2-2-22i2i−2i−2i2-2-22i2i2i2i−2i−2i−2i−2i22-22-2-2−2i2i22−2i−2i2i2i-1-12-1-1-12-11111-2-21100000000000011-21-1-12-1−i−i−i−i2i2i−i−iiiii−2i−2iii00000000000000000011-21-1-12-1ii−2ii−i−i2i−i000000000000
χ442222-2-222-2-2-2-2-22i2i−2i−2i2-2-22i2i2i2i−2i−2i−2i−2i22-22-2-2−2i2i22−2i−2i2i2i-1-1-12-1-1-12111111-2-2000000000000111-2-1-1-12−i−i−i−i−i−i2i2iiiiiii−2i−2i000000000000000000111-2-1-1-12iii−2i−i−i−i2i000000000000
χ452222-2-222-2-2-2-2-2−2i−2i2i2i2-2-2−2i−2i−2i−2i2i2i2i2i222-222−2i2i-2-2−2i−2i2i2i2-1-1-12-1-1-1-2-2111111000000000000-21112-1-1-1−2i−2iiiiiii2i2i−i−i−i−i−i−i0000000000000000002-1-1-1-2111−2iiii2i−i−i−i000000000000
χ462222-2-222-2-2-2-2-2−2i−2i2i2i2-2-2−2i−2i−2i−2i2i2i2i2i222-222−2i2i-2-2−2i−2i2i2i-12-1-1-12-1-111-2-211110000000000001-211-12-1-1ii−2i−2iiiii−i−i2i2i−i−i−i−i000000000000000000-12-1-11-211i−2iii−i2i−i−i000000000000
χ472222-2-222-2-2-2-2-2−2i−2i2i2i2-2-2−2i−2i−2i−2i2i2i2i2i222-222−2i2i-2-2−2i−2i2i2i-1-12-1-1-12-11111-2-21100000000000011-21-1-12-1iiii−2i−2iii−i−i−i−i2i2i−i−i000000000000000000-1-12-111-21ii−2ii−i−i2i−i000000000000
χ482222-2-222-2-2-2-2-2−2i−2i2i2i2-2-2−2i−2i−2i−2i2i2i2i2i222-222−2i2i-2-2−2i−2i2i2i-1-1-12-1-1-12111111-2-2000000000000111-2-1-1-12iiiiii−2i−2i−i−i−i−i−i−i2i2i000000000000000000-1-1-12111-2iii−2i−i−i−i2i000000000000
χ492222-2-222-2-2-2-2-2−2i−2i2i2i2-2-2−2i−2i−2i−2i2i2i2i2i22-22-2-22i−2i222i2i−2i−2i2-1-1-12-1-1-1-2-2111111000000000000-21112-1-1-1−2i−2iiiiiii2i2i−i−i−i−i−i−i000000000000000000-21112-1-1-12i−i−i−i−2iiii000000000000
χ502222-2-222-2-2-2-2-2−2i−2i2i2i2-2-2−2i−2i−2i−2i2i2i2i2i22-22-2-22i−2i222i2i−2i−2i-12-1-1-12-1-111-2-211110000000000001-211-12-1-1ii−2i−2iiiii−i−i2i2i−i−i−i−i0000000000000000001-211-12-1-1−i2i−i−ii−2iii000000000000
χ512222-2-222-2-2-2-2-2−2i−2i2i2i2-2-2−2i−2i−2i−2i2i2i2i2i22-22-2-22i−2i222i2i−2i−2i-1-12-1-1-12-11111-2-21100000000000011-21-1-12-1iiii−2i−2iii−i−i−i−i2i2i−i−i00000000000000000011-21-1-12-1−i−i2i−iii−2ii000000000000
χ522222-2-222-2-2-2-2-2−2i−2i2i2i2-2-2−2i−2i−2i−2i2i2i2i2i22-22-2-22i−2i222i2i−2i−2i-1-1-12-1-1-12111111-2-2000000000000111-2-1-1-12iiiiii−2i−2i−i−i−i−i−i−i2i2i000000000000000000111-2-1-1-12−i−i−i2iiii−2i000000000000
χ532-2222i−2i-2-22i2i−2i−2i01+i−1−i1−i−1+i0001+i1+i−1−i−1−i1−i1−i−1+i−1+i000000000000002222-2-2-2-22i−2i2i−2i2i−2i2i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13000000001+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i002−2−i2i2000022−2−2−i2−i2i2i20000000000000000000000000000
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χ1276-6−3−3i3−3+3i36i−6i3+3i33−3i36ζ226ζ14−6ζ22−6ζ140−3−3i3+3i−3+3i3−3i0003ζ4−3ζ22−3ζ14+3ζ20−3ζ4+3ζ223ζ14−3ζ203ζ4+3ζ223ζ14+3ζ20−3ζ4−3ζ22−3ζ14−3ζ200000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ72ζ232ζ132ζ5−2ζ13−2ζ500000000000000000000000000−22i2−i20000ζ7−ζ13−ζ5+ζ23−ζ7+ζ13ζ5−ζ23−ζ7−ζ13−ζ5−ζ23ζ7+ζ13ζ5+ζ230000000000000000000000000000
χ1286-6−3−3i3−3+3i36i−6i3+3i33−3i36ζ226ζ14−6ζ22−6ζ140−3−3i3+3i−3+3i3−3i0003ζ4−3ζ22−3ζ14+3ζ20−3ζ4+3ζ223ζ14−3ζ203ζ4+3ζ223ζ14+3ζ20−3ζ4−3ζ22−3ζ14−3ζ20000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ72ζ23−2ζ7−2ζ23−2ζ13−2ζ52ζ132ζ5000000000000000000000000002−2−i2i20000−ζ7+ζ13ζ5−ζ23ζ7−ζ13−ζ5+ζ23ζ7+ζ13ζ5+ζ23−ζ7−ζ13−ζ5−ζ230000000000000000000000000000
χ1296-6−3−3i3−3+3i3−6i6i3+3i33−3i3−6ζ22−6ζ146ζ226ζ1403−3i−3+3i3+3i−3−3i000−3ζ4−3ζ22−3ζ14−3ζ203ζ4+3ζ223ζ14+3ζ20−3ζ4+3ζ223ζ14−3ζ203ζ4−3ζ22−3ζ14+3ζ20000000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ132ζ5−2ζ13−2ζ5−2ζ7−2ζ232ζ72ζ23000000000000000000000000002−2i2−i20000−ζ7+ζ13ζ5−ζ23ζ7−ζ13−ζ5+ζ23−ζ7−ζ13−ζ5−ζ23ζ7+ζ13ζ5+ζ230000000000000000000000000000
χ1306-6−3−3i3−3+3i3−6i6i3+3i33−3i3−6ζ22−6ζ146ζ226ζ1403−3i−3+3i3+3i−3−3i000−3ζ4−3ζ22−3ζ14−3ζ203ζ4+3ζ223ζ14+3ζ20−3ζ4+3ζ223ζ14−3ζ203ζ4−3ζ22−3ζ14+3ζ200000000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ13−2ζ52ζ132ζ52ζ72ζ23−2ζ7−2ζ2300000000000000000000000000−22−i2i20000ζ7−ζ13−ζ5+ζ23−ζ7+ζ13ζ5−ζ23ζ7+ζ13ζ5+ζ23−ζ7−ζ13−ζ5−ζ230000000000000000000000000000
χ1316-6−3−3i3−3+3i3−6i6i3+3i33−3i3−6ζ22−6ζ146ζ226ζ140−3+3i3−3i−3−3i3+3i0003ζ4+3ζ223ζ14+3ζ20−3ζ4−3ζ22−3ζ14−3ζ203ζ4−3ζ22−3ζ14+3ζ20−3ζ4+3ζ223ζ14−3ζ20000000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ132ζ5−2ζ13−2ζ5−2ζ7−2ζ232ζ72ζ2300000000000000000000000000−22−i2i20000ζ7−ζ13−ζ5+ζ23−ζ7+ζ13ζ5−ζ23ζ7+ζ13ζ5+ζ23−ζ7−ζ13−ζ5−ζ230000000000000000000000000000
χ1326-6−3−3i3−3+3i3−6i6i3+3i33−3i3−6ζ22−6ζ146ζ226ζ140−3+3i3−3i−3−3i3+3i0003ζ4+3ζ223ζ14+3ζ20−3ζ4−3ζ22−3ζ14−3ζ203ζ4−3ζ22−3ζ14+3ζ20−3ζ4+3ζ223ζ14−3ζ200000000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ13−2ζ52ζ132ζ52ζ72ζ23−2ζ7−2ζ23000000000000000000000000002−2i2−i20000−ζ7+ζ13ζ5−ζ23ζ7−ζ13−ζ5+ζ23−ζ7−ζ13−ζ5−ζ23ζ7+ζ13ζ5+ζ230000000000000000000000000000
χ1336-6−3+3i3−3−3i36i−6i3−3i33+3i36ζ146ζ22−6ζ14−6ζ2203+3i−3−3i3−3i−3+3i0003ζ14−3ζ20−3ζ4+3ζ22−3ζ14+3ζ203ζ4−3ζ22−3ζ14−3ζ20−3ζ4−3ζ223ζ14+3ζ203ζ4+3ζ220000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ23−2ζ72ζ232ζ72ζ52ζ13−2ζ5−2ζ13000000000000000000000000002−2−i2i20000ζ5−ζ23−ζ7+ζ13−ζ5+ζ23ζ7−ζ13ζ5+ζ23ζ7+ζ13−ζ5−ζ23−ζ7−ζ130000000000000000000000000000
χ1346-6−3+3i3−3−3i36i−6i3−3i33+3i36ζ146ζ22−6ζ14−6ζ2203+3i−3−3i3−3i−3+3i0003ζ14−3ζ20−3ζ4+3ζ22−3ζ14+3ζ203ζ4−3ζ22−3ζ14−3ζ20−3ζ4−3ζ223ζ14+3ζ203ζ4+3ζ22000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ232ζ7−2ζ23−2ζ7−2ζ5−2ζ132ζ52ζ1300000000000000000000000000−22i2−i20000−ζ5+ζ23ζ7−ζ13ζ5−ζ23−ζ7+ζ13−ζ5−ζ23−ζ7−ζ13ζ5+ζ23ζ7+ζ130000000000000000000000000000
χ1356-6−3+3i3−3−3i36i−6i3−3i33+3i36ζ146ζ22−6ζ14−6ζ220−3−3i3+3i−3+3i3−3i000−3ζ14+3ζ203ζ4−3ζ223ζ14−3ζ20−3ζ4+3ζ223ζ14+3ζ203ζ4+3ζ22−3ζ14−3ζ20−3ζ4−3ζ220000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ23−2ζ72ζ232ζ72ζ52ζ13−2ζ5−2ζ1300000000000000000000000000−22i2−i20000−ζ5+ζ23ζ7−ζ13ζ5−ζ23−ζ7+ζ13−ζ5−ζ23−ζ7−ζ13ζ5+ζ23ζ7+ζ130000000000000000000000000000
χ1366-6−3+3i3−3−3i36i−6i3−3i33+3i36ζ146ζ22−6ζ14−6ζ220−3−3i3+3i−3+3i3−3i000−3ζ14+3ζ203ζ4−3ζ223ζ14−3ζ20−3ζ4+3ζ223ζ14+3ζ203ζ4+3ζ22−3ζ14−3ζ20−3ζ4−3ζ22000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ232ζ7−2ζ23−2ζ7−2ζ5−2ζ132ζ52ζ13000000000000000000000000002−2−i2i20000ζ5−ζ23−ζ7+ζ13−ζ5+ζ23ζ7−ζ13ζ5+ζ23ζ7+ζ13−ζ5−ζ23−ζ7−ζ130000000000000000000000000000
χ1376-6−3+3i3−3−3i3−6i6i3−3i33+3i3−6ζ14−6ζ226ζ146ζ2203−3i−3+3i3+3i−3−3i000−3ζ14−3ζ20−3ζ4−3ζ223ζ14+3ζ203ζ4+3ζ223ζ14−3ζ20−3ζ4+3ζ22−3ζ14+3ζ203ζ4−3ζ22000000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ52ζ13−2ζ5−2ζ13−2ζ23−2ζ72ζ232ζ7000000000000000000000000002−2i2−i20000ζ5−ζ23−ζ7+ζ13−ζ5+ζ23ζ7−ζ13−ζ5−ζ23−ζ7−ζ13ζ5+ζ23ζ7+ζ130000000000000000000000000000
χ1386-6−3+3i3−3−3i3−6i6i3−3i33+3i3−6ζ14−6ζ226ζ146ζ2203−3i−3+3i3+3i−3−3i000−3ζ14−3ζ20−3ζ4−3ζ223ζ14+3ζ203ζ4+3ζ223ζ14−3ζ20−3ζ4+3ζ22−3ζ14+3ζ203ζ4−3ζ220000000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ52ζ132ζ232ζ7−2ζ23−2ζ700000000000000000000000000−22−i2i20000−ζ5+ζ23ζ7−ζ13ζ5−ζ23−ζ7+ζ13ζ5+ζ23ζ7+ζ13−ζ5−ζ23−ζ7−ζ130000000000000000000000000000
χ1396-6−3+3i3−3−3i3−6i6i3−3i33+3i3−6ζ14−6ζ226ζ146ζ220−3+3i3−3i−3−3i3+3i0003ζ14+3ζ203ζ4+3ζ22−3ζ14−3ζ20−3ζ4−3ζ22−3ζ14+3ζ203ζ4−3ζ223ζ14−3ζ20−3ζ4+3ζ22000000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ52ζ13−2ζ5−2ζ13−2ζ23−2ζ72ζ232ζ700000000000000000000000000−22−i2i20000−ζ5+ζ23ζ7−ζ13ζ5−ζ23−ζ7+ζ13ζ5+ζ23ζ7+ζ13−ζ5−ζ23−ζ7−ζ130000000000000000000000000000
χ1406-6−3+3i3−3−3i3−6i6i3−3i33+3i3−6ζ14−6ζ226ζ146ζ220−3+3i3−3i−3−3i3+3i0003ζ14+3ζ203ζ4+3ζ22−3ζ14−3ζ20−3ζ4−3ζ22−3ζ14+3ζ203ζ4−3ζ223ζ14−3ζ20−3ζ4+3ζ220000000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ52ζ132ζ232ζ7−2ζ23−2ζ7000000000000000000000000002−2i2−i20000ζ5−ζ23−ζ7+ζ13−ζ5+ζ23ζ7−ζ13−ζ5−ζ23−ζ7−ζ13ζ5+ζ23ζ7+ζ130000000000000000000000000000

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