Finite Group Databasebeta

← Group #11771648

Character table — Group #11771648

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222222222222222222222224444444444444444444444444444444444444444444444444444444418181818181818181818181818181818242424242424242424242424242424242424242424242424
order12448888233444446688888812121212242424242424242436666612121212121212121212121212121212121212121212242424242424242424242424242424242424242424242424242424248888888888888888246688121216161616242424244848484848484848
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ51111-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-111ii−i−i-1-1-1-1iiii−i−i−i−i
χ61111-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-111-1-1−i−iii1111−i−i−i−iiiii
χ71111-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-111−i−iii-1-1-1-1−i−i−i−iiiii
χ81111-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-111-1-1ii−i−i1111iiii−i−i−i−i
χ911-1-1ii−i−i-1111ii−i−i11i−i11-1-1-1-1-1-1ii−i−iii−i−i1-1-11-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1i−ii−i11111111-1-1-1-1-1-1-1-1iiii−i−i−i−iζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ131-111i−i-1-1ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ii−i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13
χ1011-1-1ii−i−i-1111ii−i−i11i−i11-1-1-1-1-1-1ii−i−iii−i−i1-1-11-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1i−ii−i11111111-1-1-1-1-1-1-1-1iiii−i−i−i−iζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13-11-1-1−ii11−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−i−iii−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13
χ1111-1-1ii−i−i-1111ii−i−i11i−i11-1-1-1-1-1-1ii−i−iii−i−i1-1-11-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1i−ii−i11111111-1-1-1-1-1-1-1-1iiii−i−i−i−i−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ131-111i−i-1-1−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ii−i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13
χ1211-1-1ii−i−i-1111ii−i−i11i−i11-1-1-1-1-1-1ii−i−iii−i−i1-1-11-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1i−ii−i11111111-1-1-1-1-1-1-1-1iiii−i−i−i−i−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13-11-1-1−ii11ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−i−iiiζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13
χ1311-1-1−i−iii-1111−i−iii11−ii11-1-1-1-1-1-1−i−iii−i−iii1-1-11-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1−ii−ii11111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ231-111−ii-1-1−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−i−iii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23
χ1411-1-1−i−iii-1111−i−iii11−ii11-1-1-1-1-1-1−i−iii−i−iii1-1-11-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1−ii−ii11111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23-11-1-1i−i11ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ii−i−iζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23
χ1511-1-1−i−iii-1111−i−iii11−ii11-1-1-1-1-1-1−i−iii−i−iii1-1-11-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1−ii−ii11111111-1-1-1-1-1-1-1-1−i−i−i−iiiiiζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ231-111−ii-1-1ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−i−iiiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23
χ1611-1-1−i−iii-1111−i−iii11−ii11-1-1-1-1-1-1−i−iii−i−iii1-1-11-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1−ii−ii11111111-1-1-1-1-1-1-1-1−i−i−i−iiiiiζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23-11-1-1i−i11−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ii−i−i−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23
χ17222222222222-2-2-2-22222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000
χ182222222222-1222222-122222222-1-1-1-1-1-12222-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000022-1-122-1-10000-1-1-1-100000000
χ192222222222-1222222-122222222-1-1-1-1-1-12222-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-211-2-2110000111100000000
χ202222222222-12-2-2-2-22-122-2-2-2-222-1-1-1-1-1-12222-12-1-1-1-1-2-2111111-2-21111112-1-1-1-1-122-1-1-2-2111111-2-2111111-1-1-1-1-1-1-1-1000000000000000000−i3i300−i3i30000−i3i3−i3i300000000
χ212222222222-12-2-2-2-22-122-2-2-2-222-1-1-1-1-1-12222-12-1-1-1-1-2-2111111-2-21111112-1-1-1-1-122-1-1-2-2111111-2-2111111-1-1-1-1-1-1-1-1000000000000000000i3−i300i3−i30000i3−i3i3−i300000000
χ22222222222-1222222-12222222-1-1222222-1-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000022220000-1-1-1-1-1-1-1-1
χ23222222222-1222222-12222222-1-1222222-1-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-2000011111111
χ24222222222-122-2-2-2-2-1222-2-2-2-2-1-1222222-1-1-1-1-1-12-1-1-111-2-2111111-2-21111-12-1-1-1-1-1-12211-2-2111111-2-21111-1-1-1-1-1-1-1-100000000000000000000000000000000−i3i3−i3i3−i3i3−i3i3
χ25222222222-122-2-2-2-2-1222-2-2-2-2-1-1222222-1-1-1-1-1-12-1-1-111-2-2111111-2-21111-12-1-1-1-1-1-12211-2-2111111-2-21111-1-1-1-1-1-1-1-100000000000000000000000000000000i3−i3i3−i3i3−i3i3−i3
χ2622222222-222-2000022-2-200002222222222222-2-22-2-20000000000000000-2-2-2-222-2-2-2-2000000000000000022-2-222-2-222−2−222−2−222−2−222−2−2000000000000000000000000
χ2722222222-222-2000022-2-200002222222222222-2-22-2-20000000000000000-2-2-2-222-2-2-2-2000000000000000022-2-222-2-2−2−222−2−222−2−222−2−222000000000000000000000000
χ282222-2-2-2-22222222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ292222-2-2-2-222-1222222-1-2-2-2-2-2-222-1-11111-2-2-2-2-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1-1-1-2-211-2-2111111-2-211111111111111000000000000000000−i3i300−i3i30000i3−i3i3−i300000000
χ302222-2-2-2-222-1222222-1-2-2-2-2-2-222-1-11111-2-2-2-2-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1-1-1-2-211-2-2111111-2-211111111111111000000000000000000i3−i300i3−i30000−i3i3−i3i300000000
χ312222-2-2-2-222-12-2-2-2-22-1-2-2222222-1-11111-2-2-2-2-12-1-1-1-1-2-2111111-2-21111112-1-1-1-1-1-2-21122-1-1-1-1-1-122-1-1-1-1-1-111111111000000000000000022-1-1-2-2-1-10000111100000000
χ322222-2-2-2-222-12-2-2-2-22-1-2-2222222-1-11111-2-2-2-2-12-1-1-1-1-2-2111111-2-21111112-1-1-1-1-1-2-21122-1-1-1-1-1-122-1-1-1-1-1-1111111110000000000000000-2-21122110000-1-1-1-100000000
χ332222-2-2-2-22-1222222-12-2-2-2-2-2-2-1-122-2-2-2-21111-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-1-111-2-211-2-2111111-2-2111111111111000000000000000000000000000000003−33−3−33−33
χ342222-2-2-2-22-1222222-12-2-2-2-2-2-2-1-122-2-2-2-21111-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-1-111-2-211-2-2111111-2-211111111111100000000000000000000000000000000−33−333−33−3
χ352222-2-2-2-22-122-2-2-2-2-12-2-22222-1-122-2-2-2-21111-1-12-1-1-111-2-2111111-2-21111-12-1-1-1-111-2-2-1-122-1-1-1-1-1-122-1-1-1-1111111110000000000000000000000002i2i−2i−2i0000−i−i−i−iiiii
χ362222-2-2-2-22-122-2-2-2-2-12-2-22222-1-122-2-2-2-21111-1-12-1-1-111-2-2111111-2-21111-12-1-1-1-111-2-2-1-122-1-1-1-1-1-122-1-1-1-111111111000000000000000000000000−2i−2i2i2i0000iiii−i−i−i−i
χ372222-2-2-2-2-222-20000222200002222-2-2-2-2-2-2-2-22-2-22-2-20000000000000000-2-2-2-22222220000000000000000-2-222-2-222−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2000000000000000000000000
χ382222-2-2-2-2-222-20000222200002222-2-2-2-2-2-2-2-22-2-22-2-20000000000000000-2-2-2-22222220000000000000000-2-222-2-222i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2000000000000000000000000
χ3922-2-22i2i−2i−2i222-2000022−2i2i0000-2-2-2-22i2i−2i−2i2i2i−2i−2i2222220000000000000000-2-2-2-2-2-2−2i2i−2i2i00000000000000002i2i−2i−2i−2i−2i2i2i1+i1+i−1−i−1−i−1−i−1−i1+i1+i1−i1−i−1+i−1+i−1+i−1+i1−i1−i000000000000000000000000
χ4022-2-22i2i−2i−2i222-2000022−2i2i0000-2-2-2-22i2i−2i−2i2i2i−2i−2i2222220000000000000000-2-2-2-2-2-2−2i2i−2i2i00000000000000002i2i−2i−2i−2i−2i2i2i−1−i−1−i1+i1+i1+i1+i−1−i−1−i−1+i−1+i1−i1−i1−i1−i−1+i−1+i000000000000000000000000
χ4122-2-22i2i−2i−2i-2222−2i−2i2i2i222i−2i-2-222-2-2-2-22i2i−2i−2i2i2i−2i−2i2-2-22-2-2−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i2222-2-22i−2i2i−2i-2-2-2-2-2-2-2-2222222222i2i2i2i−2i−2i−2i−2i0000000000000000000000000000000000000000
χ4222-2-22i2i−2i−2i-22-122i2i−2i−2i2-12i−2i22-2-2-2-211−i−iii2i2i−2i−2i-1-21-1112i2i−i−i−i−i−i−i−2i−2iiiiiii2-1-1-1112i−2i−ii22-1-1-1-1-1-1-2-2111111−i−i−i−iiiii00000000000000002-2-1-12i−2i110000−i−iii00000000
χ4322-2-22i2i−2i−2i-22-122i2i−2i−2i2-12i−2i22-2-2-2-211−i−iii2i2i−2i−2i-1-21-1112i2i−i−i−i−i−i−i−2i−2iiiiiii2-1-1-1112i−2i−ii22-1-1-1-1-1-1-2-2111111−i−i−i−iiiii0000000000000000-2211−2i2i-1-10000ii−i−i00000000
χ4422-2-22i2i−2i−2i-22-12−2i−2i2i2i2-12i−2i-2-222-2-211−i−iii2i2i−2i−2i-1-21-111−2i−2iiiiiii2i2i−i−i−i−i−i−i2-1-1-1112i−2i−ii-2-211111122-1-1-1-1-1-1−i−i−i−iiiii000000000000000000−i3i300i3−i300003−3−3300000000
χ4522-2-22i2i−2i−2i-22-12−2i−2i2i2i2-12i−2i-2-222-2-211−i−iii2i2i−2i−2i-1-21-111−2i−2iiiiiii2i2i−i−i−i−i−i−i2-1-1-1112i−2i−ii-2-211111122-1-1-1-1-1-1−i−i−i−iiiii000000000000000000i3−i300−i3i30000−333−300000000
χ4622-2-22i2i−2i−2i-2-1222i2i−2i−2i-122i−2i22-2-211-2-22i2i−2i−2i−i−iii-11-2-111−i−i2i2i−i−i−i−iii−2i−2iiiii-12-1-111−ii2i−2i-1-122-1-1-1-111-2-21111−i−i−i−iiiii0000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13
χ4722-2-22i2i−2i−2i-2-1222i2i−2i−2i-122i−2i22-2-211-2-22i2i−2i−2i−i−iii-11-2-111−i−i2i2i−i−i−i−iii−2i−2iiiii-12-1-111−ii2i−2i-1-122-1-1-1-111-2-21111−i−i−i−iiiii000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13
χ4822-2-22i2i−2i−2i-2-122−2i−2i2i2i-122i−2i-2-22211-2-22i2i−2i−2i−i−iii-11-2-111ii−2i−2iiiii−i−i2i2i−i−i−i−i-12-1-111−ii2i−2i11-2-21111-1-122-1-1-1-1−i−i−i−iiiii00000000000000000000000000000000−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13
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χ1114-44i−4i−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ130-2402+2i−2−2i2−2i−2+2i2-400−22222i2−2i2−2i2i4i−4i−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13-200200−1−i1+i2+2i−2−2i−1−i−1−i1+i1+i−1+i1−i2−2i−2+2i−1+i−1+i1−i1−i0000−2i2i00002−2−222222−2−2−i2i22i2−2i2−i2−i2i2i22ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ13000000000000000000000000000000000000000000
χ1124-44i−4i−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ130-240−2−2i2+2i−2+2i2−2i2-40022−22−2i22i2−2i2i4i−4i−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13-2002001+i−1−i−2−2i2+2i1+i1+i−1−i−1−i1−i−1+i−2+2i2−2i1−i1−i−1+i−1+i0000−2i2i0000−2222−22−2−222i2−i2−2i22i2i2i2−i2−i22ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ13000000000000000000000000000000000000000000
χ1134-44i−4i−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ130-2-202+2i−2−2i2−2i−2+2i2200−22222i2−2i2−2i2i−2i2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13100-13-3−1−i1+i−1−i1+i2−i−1+2i−2+i1−2i−1+i1−i−1+i1−i−1−2i2+i1+2i−2−i003i−3ii−i00002−22−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23−i2i2−i2i2−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ7−ζ23ζ7+ζ233ζ5+3ζ13−3ζ5−3ζ13ζ5+ζ13−ζ5−ζ13−3ζ7−3ζ233ζ7+3ζ230000000000000000000000000000000000000000
χ1144-44i−4i−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ130-2-202+2i−2−2i2−2i−2+2i2200−22222i2−2i2−2i2i−2i2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13100-1-33−1−i1+i−1−i1+i−1+2i2−i1−2i−2+i−1+i1−i−1+i1−i2+i−1−2i−2−i1+2i00−3i3ii−i00002−22−2−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ23−ζ7−ζ23ζ7+ζ23−3ζ5−3ζ133ζ5+3ζ13ζ5+ζ13−ζ5−ζ133ζ7+3ζ23−3ζ7−3ζ230000000000000000000000000000000000000000
χ1154-44i−4i−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ130-2-20−2−2i2+2i−2+2i2−2i220022−22−2i22i2−2i2i−2i2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13100-13-31+i−1−i1+i−1−i−2+i1−2i2−i−1+2i1−i−1+i1−i−1+i1+2i−2−i−1−2i2+i003i−3ii−i0000−22−22−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23i2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23−ζ7−ζ23ζ7+ζ233ζ5+3ζ13−3ζ5−3ζ13ζ5+ζ13−ζ5−ζ13−3ζ7−3ζ233ζ7+3ζ230000000000000000000000000000000000000000
χ1164-44i−4i−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ130-2-20−2−2i2+2i−2+2i2−2i220022−22−2i22i2−2i2i−2i2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13100-1-331+i−1−i1+i−1−i1−2i−2+i−1+2i2−i1−i−1+i1−i−1+i−2−i1+2i2+i−1−2i00−3i3ii−i0000−22−22ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23i2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−ζ7−ζ23ζ7+ζ23−3ζ5−3ζ133ζ5+3ζ13ζ5+ζ13−ζ5−ζ133ζ7+3ζ23−3ζ7−3ζ230000000000000000000000000000000000000000
χ1174-4−4i4i−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ2304-202−2i−2+2i2+2i−2−2i-420022−222i2−2i2−4i4i2i−2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ23-2002002−2i−2+2i−1+i1−i−1+i−1+i1−i1−i2+2i−2−2i−1−i1+i−1−i−1−i1+i1+i00002i−2i000022−22−22−2−2222i2−2i2−i2i2−i2−i2i2i22ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ23000000000000000000000000000000000000000000
χ1184-4−4i4i−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ2304-20−2+2i2−2i−2−2i2+2i-4200−2222−2i22i2−4i4i2i−2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ23-200200−2+2i2−2i1−i−1+i1−i1−i−1+i−1+i−2−2i2+2i1+i−1−i1+i1+i−1−i−1−i00002i−2i0000−22222−222−2−2−2i22i2i2−i2i2i2−i2−i22ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ23000000000000000000000000000000000000000000
χ1194-4−4i4i−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ230-2402−2i−2+2i2+2i−2−2i2-40022−222i2−2i22i−2i−4i4i−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23-200200−1+i1−i2−2i−2+2i−1+i−1+i1−i1−i−1−i1+i2+2i−2−2i−1−i−1−i1+i1+i00002i−2i0000−2222−22−2−222−i2i22i2−2i2−i2−i2i2i22ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ23000000000000000000000000000000000000000000
χ1204-4−4i4i−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ230-240−2+2i2−2i−2−2i2+2i2-400−2222−2i22i22i−2i−4i4i−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23-2002001−i−1+i−2+2i2−2i1−i1−i−1+i−1+i1+i−1−i−2−2i2+2i1+i1+i−1−i−1−i00002i−2i00002−2−222222−2−2i2−i2−2i22i2i2i2−i2−i22ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ23000000000000000000000000000000000000000000
χ1214-4−4i4i−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ230-2-202−2i−2+2i2+2i−2−2i220022−222i2−2i22i−2i2i−2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23100-13-3−1+i1−i−1+i1−i2+i−1−2i−2−i1+2i−1−i1+i−1−i1+i−1+2i2−i1−2i−2+i00−3i3i−ii0000−22−22ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5−ζ13ζ5+ζ133ζ7+3ζ23−3ζ7−3ζ23ζ7+ζ23−ζ7−ζ23−3ζ5−3ζ133ζ5+3ζ130000000000000000000000000000000000000000
χ1224-4−4i4i−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ230-2-202−2i−2+2i2+2i−2−2i220022−222i2−2i22i−2i2i−2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23100-1-33−1+i1−i−1+i1−i−1−2i2+i1+2i−2−i−1−i1+i−1−i1+i2−i−1+2i−2+i1−2i003i−3i−ii0000−22−22−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−i2i2−i2i2−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5−ζ13ζ5+ζ13−3ζ7−3ζ233ζ7+3ζ23ζ7+ζ23−ζ7−ζ233ζ5+3ζ13−3ζ5−3ζ130000000000000000000000000000000000000000
χ1234-4−4i4i−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ230-2-20−2+2i2−2i−2−2i2+2i2200−2222−2i22i22i−2i2i−2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23100-13-31−i−1+i1−i−1+i−2−i1+2i2+i−1−2i1+i−1−i1+i−1−i1−2i−2+i−1+2i2−i00−3i3i−ii00002−22−2−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23i2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−ζ5−ζ13ζ5+ζ133ζ7+3ζ23−3ζ7−3ζ23ζ7+ζ23−ζ7−ζ23−3ζ5−3ζ133ζ5+3ζ130000000000000000000000000000000000000000
χ1244-4−4i4i−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ230-2-20−2+2i2−2i−2−2i2+2i2200−2222−2i22i22i−2i2i−2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23100-1-331−i−1+i1−i−1+i1+2i−2−i−1−2i2+i1+i−1−i1+i−1−i−2+i1−2i2−i−1+2i003i−3i−ii00002−22−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23i2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23−ζ5−ζ13ζ5+ζ13−3ζ7−3ζ233ζ7+3ζ23ζ7+ζ23−ζ7−ζ233ζ5+3ζ13−3ζ5−3ζ130000000000000000000000000000000000000000
χ1254-4−4i4i4ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ2304-202−2i−2+2i2+2i−2−2i-4200−2222−2i22i2−4i4i2i−2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ234ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ23-2002002−2i−2+2i−1+i1−i−1+i−1+i1−i1−i2+2i−2−2i−1−i1+i−1−i−1−i1+i1+i00002i−2i0000−22222−222−2−2−2i22i2i2−i2i2i2−i2−i2−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ23000000000000000000000000000000000000000000
χ1264-4−4i4i4ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ2304-20−2+2i2−2i−2−2i2+2i-420022−222i2−2i2−4i4i2i−2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ234ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ23-200200−2+2i2−2i1−i−1+i1−i1−i−1+i−1+i−2−2i2+2i1+i−1−i1+i1+i−1−i−1−i00002i−2i000022−22−22−2−2222i2−2i2−i2i2−i2−i2i2i2−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ23000000000000000000000000000000000000000000
χ1274-4−4i4i4ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ230-2402−2i−2+2i2+2i−2−2i2-400−2222−2i22i22i−2i−4i4i4ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23-200200−1+i1−i2−2i−2+2i−1+i−1+i1−i1−i−1−i1+i2+2i−2−2i−1−i−1−i1+i1+i00002i−2i00002−2−222222−2−2i2−i2−2i22i2i2i2−i2−i2−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ23000000000000000000000000000000000000000000
χ1284-4−4i4i4ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ230-240−2+2i2−2i−2−2i2+2i2-40022−222i2−2i22i−2i−4i4i4ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23-2002001−i−1+i−2+2i2−2i1−i1−i−1+i−1+i1+i−1−i−2−2i2+2i1+i1+i−1−i−1−i00002i−2i0000−2222−22−2−222−i2i22i2−2i2−i2−i2i2i2−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ23000000000000000000000000000000000000000000
χ1294-4−4i4i4ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ230-2-202−2i−2+2i2+2i−2−2i2200−2222−2i22i22i−2i2i−2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23100-13-3−1+i1−i−1+i1−i2+i−1−2i−2−i1+2i−1−i1+i−1−i1+i−1+2i2−i1−2i−2+i00−3i3i−ii00002−22−2−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23i2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5+ζ13−ζ5−ζ13−3ζ7−3ζ233ζ7+3ζ23−ζ7−ζ23ζ7+ζ233ζ5+3ζ13−3ζ5−3ζ130000000000000000000000000000000000000000
χ1304-4−4i4i4ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ230-2-202−2i−2+2i2+2i−2−2i2200−2222−2i22i22i−2i2i−2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23100-1-33−1+i1−i−1+i1−i−1−2i2+i1+2i−2−i−1−i1+i−1−i1+i2−i−1+2i−2+i1−2i003i−3i−ii00002−22−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23i2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23ζ5+ζ13−ζ5−ζ133ζ7+3ζ23−3ζ7−3ζ23−ζ7−ζ23ζ7+ζ23−3ζ5−3ζ133ζ5+3ζ130000000000000000000000000000000000000000
χ1314-4−4i4i4ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ230-2-20−2+2i2−2i−2−2i2+2i220022−222i2−2i22i−2i2i−2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23100-13-31−i−1+i1−i−1+i−2−i1+2i2+i−1−2i1+i−1−i1+i−1−i1−2i−2+i−1+2i2−i00−3i3i−ii0000−22−22ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ23ζ5+ζ13−ζ5−ζ13−3ζ7−3ζ233ζ7+3ζ23−ζ7−ζ23ζ7+ζ233ζ5+3ζ13−3ζ5−3ζ130000000000000000000000000000000000000000
χ1324-4−4i4i4ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ230-2-20−2+2i2−2i−2−2i2+2i220022−222i2−2i22i−2i2i−2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23100-1-331−i−1+i1−i−1+i1+2i−2−i−1−2i2+i1+i−1−i1+i−1−i−2+i1−2i2−i−1+2i003i−3i−ii0000−22−22−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−i2i2−i2i2−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23ζ5+ζ13−ζ5−ζ133ζ7+3ζ23−3ζ7−3ζ23−ζ7−ζ23ζ7+ζ23−3ζ5−3ζ133ζ5+3ζ130000000000000000000000000000000000000000

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