Finite Group Databasebeta

← Group #10694007

Character table — Group #10694007

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size1111111111111111222222222222222222222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444424242424242424242424242424242424
order122222224444444434444444466666661212121212121212121212121212121212121212121212124444444488888888888888881212121212121212121212121212121224242424242424242424242424242424242424242424242424242424242424242222444488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1
χ611111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111
χ711111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1-1-1-11111
χ811111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1111111-1-1-1-1
χ911111111-1-1-1-1-1-1-1-111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1ii−i−iii−i−i
χ1011111111-1-1-1-1-1-1-1-111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111−i−iii−i−iii
χ1111111111-1-1-1-1-1-1-1-111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−iii−i−iii
χ1211111111-1-1-1-1-1-1-1-111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111ii−i−iii−i−i
χ1311111111-1-1-1-1-1-1-1-111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-111ii−i−i−i−iii
χ1411111111-1-1-1-1-1-1-1-111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-11111-1-1−i−iiiii−i−i
χ1511111111-1-1-1-1-1-1-1-111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-111−i−iiiii−i−i
χ1611111111-1-1-1-1-1-1-1-111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-11111-1-1ii−i−i−i−iii
χ1722222222222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222-2-222-2-200000000000000002222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000000000000000
χ1822222222222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-222-2-2220000000000000000-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000000000000000
χ192222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ202222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111110000000000000000
χ212222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-21111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000000000000000
χ222222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ232222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111122-2-222-2-20000000000000000-1-1-1-11111-1-1-1-111113333−3−3−3−33333−3−3−3−33333−3−3−3−33333−3−3−3−30000000000000000
χ242222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111122-2-222-2-20000000000000000-1-1-1-11111-1-1-1-11111−3−3−3−33333−3−3−3−33333−3−3−3−33333−3−3−3−333330000000000000000
χ252222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-2-222-2-22200000000000000001111-1-1-1-11111-1-1-1-13333−3−3−3−33333−3−3−3−3−3−3−3−33333−3−3−3−333330000000000000000
χ262222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-2-222-2-22200000000000000001111-1-1-1-11111-1-1-1-1−3−3−3−33333−3−3−3−333333333−3−3−3−33333−3−3−3−30000000000000000
χ2722222222-2-2-2-2-2-2-2-22-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-22200000000000000002222-2-2-2-2-2-2-2-22222000000000000000000000000000000000000000000000000
χ2822222222-2-2-2-2-2-2-2-22-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-22222-2-20000000000000000-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000000000000000
χ2922222222-2-2-2-2-2-2-2-2-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111112222-2-2-2-22i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii0000000000000000
χ3022222222-2-2-2-2-2-2-2-2-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111112222-2-2-2-2−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i0000000000000000
χ3122222222-2-2-2-2-2-2-2-2-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-2-2-222222i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i0000000000000000
χ3222222222-2-2-2-2-2-2-2-2-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-2-2-22222−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii0000000000000000
χ3322222222-2-2-2-2-2-2-2-2-1-2-2-2-22222-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-122-2-2-2-2220000000000000000-1-1-1-111111111-1-1-1-1−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i30000000000000000
χ3422222222-2-2-2-2-2-2-2-2-1-2-2-2-22222-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-122-2-2-2-2220000000000000000-1-1-1-111111111-1-1-1-1i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i30000000000000000
χ3522222222-2-2-2-2-2-2-2-2-1-2-2-2-22222-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-2-22222-2-200000000000000001111-1-1-1-1-1-1-1-11111−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i30000000000000000
χ3622222222-2-2-2-2-2-2-2-2-1-2-2-2-22222-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-2-22222-2-200000000000000001111-1-1-1-1-1-1-1-11111i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i30000000000000000
χ372222-2-2-2-22i2i−2i−2i2i2i−2i−2i200000000222-2-2-2-2000000002i2i2i2i−2i−2i−2i−2i00000000002-2002i−2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i000022-2-200002i2i−2i−2i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i0000000000000000
χ382222-2-2-2-22i2i−2i−2i2i2i−2i−2i200000000222-2-2-2-2000000002i2i2i2i−2i−2i−2i−2i00000000002-2002i−2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i000022-2-200002i2i−2i−2i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i0000000000000000
χ392222-2-2-2-22i2i−2i−2i2i2i−2i−2i200000000222-2-2-2-2000000002i2i2i2i−2i−2i−2i−2i0000000000-2200−2i2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i0000-2-2220000−2i−2i2i2i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i0000000000000000
χ402222-2-2-2-22i2i−2i−2i2i2i−2i−2i200000000222-2-2-2-2000000002i2i2i2i−2i−2i−2i−2i0000000000-2200−2i2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i0000-2-2220000−2i−2i2i2i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i0000000000000000
χ412222-2-2-2-22i2i−2i−2i2i2i−2i−2i-100000000-1-1-111113333−3−3−3−3−i−i−i−iiiii−i3−i3−i3−i3i3i3i3i3002-2002i−2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i33−3−3-1-111−i3−i3i3i3−i−iii−ζ4+ζ14−ζ4+ζ14ζ4−ζ14ζ4−ζ14−ζ20+ζ22−ζ20+ζ22ζ20−ζ22ζ20−ζ22−ζ20−ζ22−ζ20−ζ22ζ20+ζ22ζ20+ζ22−ζ4−ζ14−ζ4−ζ14ζ4+ζ14ζ4+ζ14−ζ20+ζ22−ζ20+ζ22ζ20−ζ22ζ20−ζ22−ζ4+ζ14−ζ4+ζ14ζ4−ζ14ζ4−ζ14−ζ4−ζ14−ζ4−ζ14ζ4+ζ14ζ4+ζ14−ζ20−ζ22−ζ20−ζ22ζ20+ζ22ζ20+ζ220000000000000000
χ422222-2-2-2-22i2i−2i−2i2i2i−2i−2i-100000000-1-1-111113333−3−3−3−3−i−i−i−iiiii−i3−i3−i3−i3i3i3i3i3002-2002i−2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i33−3−3-1-111−i3−i3i3i3−i−iiiζ4−ζ14ζ4−ζ14−ζ4+ζ14−ζ4+ζ14ζ20−ζ22ζ20−ζ22−ζ20+ζ22−ζ20+ζ22ζ20+ζ22ζ20+ζ22−ζ20−ζ22−ζ20−ζ22ζ4+ζ14ζ4+ζ14−ζ4−ζ14−ζ4−ζ14ζ20−ζ22ζ20−ζ22−ζ20+ζ22−ζ20+ζ22ζ4−ζ14ζ4−ζ14−ζ4+ζ14−ζ4+ζ14ζ4+ζ14ζ4+ζ14−ζ4−ζ14−ζ4−ζ14ζ20+ζ22ζ20+ζ22−ζ20−ζ22−ζ20−ζ220000000000000000
χ432222-2-2-2-22i2i−2i−2i2i2i−2i−2i-100000000-1-1-111113333−3−3−3−3−i−i−i−iiiii−i3−i3−i3−i3i3i3i3i300-2200−2i2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−3−33311-1-1i3i3−i3−i3ii−i−i−ζ4+ζ14−ζ4+ζ14ζ4−ζ14ζ4−ζ14−ζ20+ζ22−ζ20+ζ22ζ20−ζ22ζ20−ζ22−ζ20−ζ22−ζ20−ζ22ζ20+ζ22ζ20+ζ22−ζ4−ζ14−ζ4−ζ14ζ4+ζ14ζ4+ζ14ζ20−ζ22ζ20−ζ22−ζ20+ζ22−ζ20+ζ22ζ4−ζ14ζ4−ζ14−ζ4+ζ14−ζ4+ζ14ζ4+ζ14ζ4+ζ14−ζ4−ζ14−ζ4−ζ14ζ20+ζ22ζ20+ζ22−ζ20−ζ22−ζ20−ζ220000000000000000
χ442222-2-2-2-22i2i−2i−2i2i2i−2i−2i-100000000-1-1-111113333−3−3−3−3−i−i−i−iiiii−i3−i3−i3−i3i3i3i3i300-2200−2i2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i−3−33311-1-1i3i3−i3−i3ii−i−iζ4−ζ14ζ4−ζ14−ζ4+ζ14−ζ4+ζ14ζ20−ζ22ζ20−ζ22−ζ20+ζ22−ζ20+ζ22ζ20+ζ22ζ20+ζ22−ζ20−ζ22−ζ20−ζ22ζ4+ζ14ζ4+ζ14−ζ4−ζ14−ζ4−ζ14−ζ20+ζ22−ζ20+ζ22ζ20−ζ22ζ20−ζ22−ζ4+ζ14−ζ4+ζ14ζ4−ζ14ζ4−ζ14−ζ4−ζ14−ζ4−ζ14ζ4+ζ14ζ4+ζ14−ζ20−ζ22−ζ20−ζ22ζ20+ζ22ζ20+ζ220000000000000000
χ452222-2-2-2-22i2i−2i−2i2i2i−2i−2i-100000000-1-1-11111−3−3−3−33333−i−i−i−iiiiii3i3i3i3−i3−i3−i3−i3002-2002i−2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i−3−333-1-111i3i3−i3−i3−i−iii−ζ20+ζ22−ζ20+ζ22ζ20−ζ22ζ20−ζ22−ζ4+ζ14−ζ4+ζ14ζ4−ζ14ζ4−ζ14−ζ4−ζ14−ζ4−ζ14ζ4+ζ14ζ4+ζ14−ζ20−ζ22−ζ20−ζ22ζ20+ζ22ζ20+ζ22−ζ4+ζ14−ζ4+ζ14ζ4−ζ14ζ4−ζ14−ζ20+ζ22−ζ20+ζ22ζ20−ζ22ζ20−ζ22−ζ20−ζ22−ζ20−ζ22ζ20+ζ22ζ20+ζ22−ζ4−ζ14−ζ4−ζ14ζ4+ζ14ζ4+ζ140000000000000000
χ462222-2-2-2-22i2i−2i−2i2i2i−2i−2i-100000000-1-1-11111−3−3−3−33333−i−i−i−iiiiii3i3i3i3−i3−i3−i3−i3002-2002i−2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−3−333-1-111i3i3−i3−i3−i−iiiζ20−ζ22ζ20−ζ22−ζ20+ζ22−ζ20+ζ22ζ4−ζ14ζ4−ζ14−ζ4+ζ14−ζ4+ζ14ζ4+ζ14ζ4+ζ14−ζ4−ζ14−ζ4−ζ14ζ20+ζ22ζ20+ζ22−ζ20−ζ22−ζ20−ζ22ζ4−ζ14ζ4−ζ14−ζ4+ζ14−ζ4+ζ14ζ20−ζ22ζ20−ζ22−ζ20+ζ22−ζ20+ζ22ζ20+ζ22ζ20+ζ22−ζ20−ζ22−ζ20−ζ22ζ4+ζ14ζ4+ζ14−ζ4−ζ14−ζ4−ζ140000000000000000
χ472222-2-2-2-22i2i−2i−2i2i2i−2i−2i-100000000-1-1-11111−3−3−3−33333−i−i−i−iiiiii3i3i3i3−i3−i3−i3−i300-2200−2i2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i33−3−311-1-1−i3−i3i3i3ii−i−i−ζ20+ζ22−ζ20+ζ22ζ20−ζ22ζ20−ζ22−ζ4+ζ14−ζ4+ζ14ζ4−ζ14ζ4−ζ14−ζ4−ζ14−ζ4−ζ14ζ4+ζ14ζ4+ζ14−ζ20−ζ22−ζ20−ζ22ζ20+ζ22ζ20+ζ22ζ4−ζ14ζ4−ζ14−ζ4+ζ14−ζ4+ζ14ζ20−ζ22ζ20−ζ22−ζ20+ζ22−ζ20+ζ22ζ20+ζ22ζ20+ζ22−ζ20−ζ22−ζ20−ζ22ζ4+ζ14ζ4+ζ14−ζ4−ζ14−ζ4−ζ140000000000000000
χ482222-2-2-2-22i2i−2i−2i2i2i−2i−2i-100000000-1-1-11111−3−3−3−33333−i−i−i−iiiiii3i3i3i3−i3−i3−i3−i300-2200−2i2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i33−3−311-1-1−i3−i3i3i3ii−i−iζ20−ζ22ζ20−ζ22−ζ20+ζ22−ζ20+ζ22ζ4−ζ14ζ4−ζ14−ζ4+ζ14−ζ4+ζ14ζ4+ζ14ζ4+ζ14−ζ4−ζ14−ζ4−ζ14ζ20+ζ22ζ20+ζ22−ζ20−ζ22−ζ20−ζ22−ζ4+ζ14−ζ4+ζ14ζ4−ζ14ζ4−ζ14−ζ20+ζ22−ζ20+ζ22ζ20−ζ22ζ20−ζ22−ζ20−ζ22−ζ20−ζ22ζ20+ζ22ζ20+ζ22−ζ4−ζ14−ζ4−ζ14ζ4+ζ14ζ4+ζ140000000000000000
χ492222-2-2-2-2−2i−2i2i2i−2i−2i2i2i200000000222-2-2-2-200000000−2i−2i−2i−2i2i2i2i2i00000000002-200−2i2i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i000022-2-20000−2i−2i2i2i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i0000000000000000
χ502222-2-2-2-2−2i−2i2i2i−2i−2i2i2i200000000222-2-2-2-200000000−2i−2i−2i−2i2i2i2i2i00000000002-200−2i2i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i000022-2-20000−2i−2i2i2i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i0000000000000000
χ512222-2-2-2-2−2i−2i2i2i−2i−2i2i2i200000000222-2-2-2-200000000−2i−2i−2i−2i2i2i2i2i0000000000-22002i−2i1−i1−i−1+i−1+i1+i1+i−1−i−1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i0000-2-22200002i2i−2i−2i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i0000000000000000
χ522222-2-2-2-2−2i−2i2i2i−2i−2i2i2i200000000222-2-2-2-200000000−2i−2i−2i−2i2i2i2i2i0000000000-22002i−2i−1+i−1+i1−i1−i−1−i−1−i1+i1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i0000-2-22200002i2i−2i−2i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i0000000000000000
χ532222-2-2-2-2−2i−2i2i2i−2i−2i2i2i-100000000-1-1-111113333−3−3−3−3iiii−i−i−i−ii3i3i3i3−i3−i3−i3−i3002-200−2i2i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i33−3−3-1-111i3i3−i3−i3ii−i−i−ζ20−ζ22−ζ20−ζ22ζ20+ζ22ζ20+ζ22−ζ4−ζ14−ζ4−ζ14ζ4+ζ14ζ4+ζ14−ζ4+ζ14−ζ4+ζ14ζ4−ζ14ζ4−ζ14−ζ20+ζ22−ζ20+ζ22ζ20−ζ22ζ20−ζ22−ζ4−ζ14−ζ4−ζ14ζ4+ζ14ζ4+ζ14−ζ20−ζ22−ζ20−ζ22ζ20+ζ22ζ20+ζ22−ζ20+ζ22−ζ20+ζ22ζ20−ζ22ζ20−ζ22−ζ4+ζ14−ζ4+ζ14ζ4−ζ14ζ4−ζ140000000000000000
χ542222-2-2-2-2−2i−2i2i2i−2i−2i2i2i-100000000-1-1-111113333−3−3−3−3iiii−i−i−i−ii3i3i3i3−i3−i3−i3−i3002-200−2i2i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i33−3−3-1-111i3i3−i3−i3ii−i−iζ20+ζ22ζ20+ζ22−ζ20−ζ22−ζ20−ζ22ζ4+ζ14ζ4+ζ14−ζ4−ζ14−ζ4−ζ14ζ4−ζ14ζ4−ζ14−ζ4+ζ14−ζ4+ζ14ζ20−ζ22ζ20−ζ22−ζ20+ζ22−ζ20+ζ22ζ4+ζ14ζ4+ζ14−ζ4−ζ14−ζ4−ζ14ζ20+ζ22ζ20+ζ22−ζ20−ζ22−ζ20−ζ22ζ20−ζ22ζ20−ζ22−ζ20+ζ22−ζ20+ζ22ζ4−ζ14ζ4−ζ14−ζ4+ζ14−ζ4+ζ140000000000000000
χ552222-2-2-2-2−2i−2i2i2i−2i−2i2i2i-100000000-1-1-111113333−3−3−3−3iiii−i−i−i−ii3i3i3i3−i3−i3−i3−i300-22002i−2i1−i1−i−1+i−1+i1+i1+i−1−i−1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−3−33311-1-1−i3−i3i3i3−i−iii−ζ20−ζ22−ζ20−ζ22ζ20+ζ22ζ20+ζ22−ζ4−ζ14−ζ4−ζ14ζ4+ζ14ζ4+ζ14−ζ4+ζ14−ζ4+ζ14ζ4−ζ14ζ4−ζ14−ζ20+ζ22−ζ20+ζ22ζ20−ζ22ζ20−ζ22ζ4+ζ14ζ4+ζ14−ζ4−ζ14−ζ4−ζ14ζ20+ζ22ζ20+ζ22−ζ20−ζ22−ζ20−ζ22ζ20−ζ22ζ20−ζ22−ζ20+ζ22−ζ20+ζ22ζ4−ζ14ζ4−ζ14−ζ4+ζ14−ζ4+ζ140000000000000000
χ562222-2-2-2-2−2i−2i2i2i−2i−2i2i2i-100000000-1-1-111113333−3−3−3−3iiii−i−i−i−ii3i3i3i3−i3−i3−i3−i300-22002i−2i−1+i−1+i1−i1−i−1−i−1−i1+i1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i−3−33311-1-1−i3−i3i3i3−i−iiiζ20+ζ22ζ20+ζ22−ζ20−ζ22−ζ20−ζ22ζ4+ζ14ζ4+ζ14−ζ4−ζ14−ζ4−ζ14ζ4−ζ14ζ4−ζ14−ζ4+ζ14−ζ4+ζ14ζ20−ζ22ζ20−ζ22−ζ20+ζ22−ζ20+ζ22−ζ4−ζ14−ζ4−ζ14ζ4+ζ14ζ4+ζ14−ζ20−ζ22−ζ20−ζ22ζ20+ζ22ζ20+ζ22−ζ20+ζ22−ζ20+ζ22ζ20−ζ22ζ20−ζ22−ζ4+ζ14−ζ4+ζ14ζ4−ζ14ζ4−ζ140000000000000000
χ572222-2-2-2-2−2i−2i2i2i−2i−2i2i2i-100000000-1-1-11111−3−3−3−33333iiii−i−i−i−i−i3−i3−i3−i3i3i3i3i3002-200−2i2i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i−3−333-1-111−i3−i3i3i3ii−i−i−ζ4−ζ14−ζ4−ζ14ζ4+ζ14ζ4+ζ14−ζ20−ζ22−ζ20−ζ22ζ20+ζ22ζ20+ζ22−ζ20+ζ22−ζ20+ζ22ζ20−ζ22ζ20−ζ22−ζ4+ζ14−ζ4+ζ14ζ4−ζ14ζ4−ζ14−ζ20−ζ22−ζ20−ζ22ζ20+ζ22ζ20+ζ22−ζ4−ζ14−ζ4−ζ14ζ4+ζ14ζ4+ζ14−ζ4+ζ14−ζ4+ζ14ζ4−ζ14ζ4−ζ14−ζ20+ζ22−ζ20+ζ22ζ20−ζ22ζ20−ζ220000000000000000
χ582222-2-2-2-2−2i−2i2i2i−2i−2i2i2i-100000000-1-1-11111−3−3−3−33333iiii−i−i−i−i−i3−i3−i3−i3i3i3i3i3002-200−2i2i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−3−333-1-111−i3−i3i3i3ii−i−iζ4+ζ14ζ4+ζ14−ζ4−ζ14−ζ4−ζ14ζ20+ζ22ζ20+ζ22−ζ20−ζ22−ζ20−ζ22ζ20−ζ22ζ20−ζ22−ζ20+ζ22−ζ20+ζ22ζ4−ζ14ζ4−ζ14−ζ4+ζ14−ζ4+ζ14ζ20+ζ22ζ20+ζ22−ζ20−ζ22−ζ20−ζ22ζ4+ζ14ζ4+ζ14−ζ4−ζ14−ζ4−ζ14ζ4−ζ14ζ4−ζ14−ζ4+ζ14−ζ4+ζ14ζ20−ζ22ζ20−ζ22−ζ20+ζ22−ζ20+ζ220000000000000000
χ592222-2-2-2-2−2i−2i2i2i−2i−2i2i2i-100000000-1-1-11111−3−3−3−33333iiii−i−i−i−i−i3−i3−i3−i3i3i3i3i300-22002i−2i1−i1−i−1+i−1+i1+i1+i−1−i−1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i33−3−311-1-1i3i3−i3−i3−i−iii−ζ4−ζ14−ζ4−ζ14ζ4+ζ14ζ4+ζ14−ζ20−ζ22−ζ20−ζ22ζ20+ζ22ζ20+ζ22−ζ20+ζ22−ζ20+ζ22ζ20−ζ22ζ20−ζ22−ζ4+ζ14−ζ4+ζ14ζ4−ζ14ζ4−ζ14ζ20+ζ22ζ20+ζ22−ζ20−ζ22−ζ20−ζ22ζ4+ζ14ζ4+ζ14−ζ4−ζ14−ζ4−ζ14ζ4−ζ14ζ4−ζ14−ζ4+ζ14−ζ4+ζ14ζ20−ζ22ζ20−ζ22−ζ20+ζ22−ζ20+ζ220000000000000000
χ602222-2-2-2-2−2i−2i2i2i−2i−2i2i2i-100000000-1-1-11111−3−3−3−33333iiii−i−i−i−i−i3−i3−i3−i3i3i3i3i300-22002i−2i−1+i−1+i1−i1−i−1−i−1−i1+i1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i33−3−311-1-1i3i3−i3−i3−i−iiiζ4+ζ14ζ4+ζ14−ζ4−ζ14−ζ4−ζ14ζ20+ζ22ζ20+ζ22−ζ20−ζ22−ζ20−ζ22ζ20−ζ22ζ20−ζ22−ζ20+ζ22−ζ20+ζ22ζ4−ζ14ζ4−ζ14−ζ4+ζ14−ζ4+ζ14−ζ20−ζ22−ζ20−ζ22ζ20+ζ22ζ20+ζ22−ζ4−ζ14−ζ4−ζ14ζ4+ζ14ζ4+ζ14−ζ4+ζ14−ζ4+ζ14ζ4−ζ14ζ4−ζ14−ζ20+ζ22−ζ20+ζ22ζ20−ζ22ζ20−ζ220000000000000000
χ6122-2-222-2-22i2i−2i−2i−2i−2i2i2i2000000002-2-222-2-2000000002i2i−2i−2i2i2i−2i−2i000000002-2002i−2i001−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i2-22-200002i−2i2i−2i00001−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i0000000000000000
χ6222-2-222-2-22i2i−2i−2i−2i−2i2i2i2000000002-2-222-2-2000000002i2i−2i−2i2i2i−2i−2i000000002-2002i−2i00−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i2-22-200002i−2i2i−2i0000−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i0000000000000000
χ6322-2-222-2-22i2i−2i−2i−2i−2i2i2i2000000002-2-222-2-2000000002i2i−2i−2i2i2i−2i−2i00000000-2200−2i2i001−i−1+i1−i−1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i-22-220000−2i2i−2i2i00001−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i0000000000000000
χ6422-2-222-2-22i2i−2i−2i−2i−2i2i2i2000000002-2-222-2-2000000002i2i−2i−2i2i2i−2i−2i00000000-2200−2i2i00−1+i1−i−1+i1−i−1−i1+i−1−i1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i-22-220000−2i2i−2i2i0000−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i0000000000000000
χ6522-2-222-2-22i2i−2i−2i−2i−2i2i2i-100000000-111-1-11133−3−333−3−3−i−iii−i−iii−i3−i3i3i3−i3−i3i3i32-2002i−2i001−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i-11-113−33−3−ii−ii−i3i3−i3i3−ζ4−ζ14ζ4+ζ14−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22−ζ20−ζ22ζ20+ζ22−ζ20+ζ22ζ20−ζ22−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14−ζ4+ζ14ζ4−ζ14−ζ4−ζ14ζ4+ζ14−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22−ζ20−ζ22ζ20+ζ22−ζ20+ζ22ζ20−ζ22−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14−ζ4+ζ14ζ4−ζ140000000000000000
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χ1202-2-22-222-22i−2i2i−2i−2i2i−2i2i2-222-2−2i2i2i−2i-2-22-222-2-222-22-2-222i−2i−2i2i−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000000000000000000000000000000000000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23
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χ1222-2-22-222-2−2i2i−2i2i2i−2i2i−2i22-2-22−2i2i2i−2i-2-22-222-22-2-22-222-2−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000000000000000000000000000000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000
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χ1242-2-22-222-2−2i2i−2i2i2i−2i2i−2i2-222-22i−2i−2i2i-2-22-222-2-222-22-2-22−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i−2i2i2i−2i000000000000000000000000000000000000000000000000000000000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13
χ1254-44-44-44-44i−4i4i−4i4i−4i4i−4i-24-44-44i−4i4i−4i2-22-22-22-22-22-22-22−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1264-44-44-44-44i−4i4i−4i4i−4i4i−4i-2-44-44−4i4i−4i4i2-22-22-222-22-22-22-2−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1414-4-44-444-44i−4i4i−4i−4i4i−4i4i-24-4-444i−4i−4i4i22-22-2-22-222-22-2-22−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1424-4-44-444-44i−4i4i−4i−4i4i−4i4i-2-444-4−4i4i4i−4i22-22-2-222-2-22-222-2−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i−2i2i2i−2i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1434-4-44-444-4−4i4i−4i4i4i−4i4i−4i-24-4-44−4i4i4i−4i22-22-2-22-222-22-2-222i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1444-4-44-444-4−4i4i−4i4i4i−4i4i−4i-2-444-44i−4i−4i4i22-22-2-222-2-22-222-22i−2i−2i2i−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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