Finite Group Databasebeta

← Group #147667

Character table — Group #147667

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size111111112222222222222222222244444444444444444444888888888888888816161616161616161616161616161616
order12224444222222444444888888888888161616161616161616161616161616162244888816161616161616162244444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1
χ511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111
χ91111-1-1-1-111-1-1-1-1111-1-111111-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i1-11-111-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−iii−i−i
χ101111-1-1-1-111-1-1-1-1111-1-111111-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i1-11-111-1-1iiii−i−i−i−i-1-1-1-11111−i−iii−i−iii
χ111111-1-1-1-111-1-1-1-1111-1-111111-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i-11-11-1-111−i−i−i−iiiii11-1-111-1-1−i−iiiii−i−i
χ121111-1-1-1-111-1-1-1-1111-1-111111-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i-11-11-1-111−i−i−i−iiiii-1-111-1-111ii−i−i−i−iii
χ131111-1-1-1-111-1-1-1-1111-1-111111-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii1-11-111-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii−i−iii
χ141111-1-1-1-111-1-1-1-1111-1-111111-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii1-11-111-1-1−i−i−i−iiiii-1-1-1-11111ii−i−iii−i−i
χ151111-1-1-1-111-1-1-1-1111-1-111111-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii-11-11-1-111iiii−i−i−i−i11-1-111-1-1ii−i−i−i−iii
χ161111-1-1-1-111-1-1-1-1111-1-111111-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii-11-11-1-111iiii−i−i−i−i-1-111-1-111−i−iiiii−i−i
χ1722222222222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000002222-2-2-2-2000000000000000000000000
χ1822222222222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000-2-2-2-22222000000000000000000000000
χ1922222222-2-222-2-22-2-2-2-2222222222-2-2-2-200000000000000000000000000000000002-22-20000000000
χ2022222222-2-222-2-22-2-2-2-2222222222-2-2-2-20000000000000000000000000000000000-22-220000000000
χ2122222222-2-222-2-22-2-2-2-22-2-2-2-2-2-2-2-22222000000000000000000000000000000002-200002-200000000
χ2222222222-2-222-2-22-2-2-2-22-2-2-2-2-2-2-2-2222200000000000000000000000000000000-220000-2200000000
χ2322222222-2-2-2-222-222-2-2-20000000000002222−2−2−2−22222−2−2−2−22-2-22000022−2−222−2−20000000000000000
χ2422222222-2-2-2-222-222-2-2-20000000000002222−2−2−2−22222−2−2−2−2-222-20000−2−222−2−2220000000000000000
χ2522222222-2-2-2-222-222-2-2-2000000000000−2−2−2−22222−2−2−2−222222-2-220000−2−222−2−2220000000000000000
χ2622222222-2-2-2-222-222-2-2-2000000000000−2−2−2−22222−2−2−2−22222-222-2000022−2−222−2−20000000000000000
χ272222-2-2-2-222-2-2-2-2222-2-22-2-2-2-22222-2-22200000000000000002-22-2-2-222000000000000000000000000
χ282222-2-2-2-222-2-2-2-2222-2-22-2-2-2-22222-2-2220000000000000000-22-2222-2-2000000000000000000000000
χ292222-2-2-2-2-2-222-2-2-22222-2000000000000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i222-2-20000i2i2−i2−i2−i2−i2i2i20000000000000000
χ302222-2-2-2-2-2-222-2-2-22222-2000000000000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2-2-2220000−i2−i2i2i2i2i2−i2−i20000000000000000
χ312222-2-2-2-2-2-222-2-2-22222-2000000000000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i222-2-20000−i2−i2i2i2i2i2−i2−i20000000000000000
χ322222-2-2-2-2-2-222-2-2-22222-2000000000000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2-2-2220000i2i2−i2−i2−i2−i2i2i20000000000000000
χ332222-2-2-2-2-2-2-2-2222-2-22222222-2-2-2-2-2-22200000000000000000000000000000000002-2-220000000000
χ342222-2-2-2-2-2-2-2-2222-2-22222222-2-2-2-2-2-2220000000000000000000000000000000000-222-20000000000
χ352222-2-2-2-2-2-2-2-2222-2-2222-2-2-2-2222222-2-2000000000000000000000000000000002-20000-2200000000
χ362222-2-2-2-2-2-2-2-2222-2-2222-2-2-2-2222222-2-200000000000000000000000000000000-2200002-200000000
χ372-2-2222-2-22-22-22-2-22-22-2222-2-222-2-22-2-2200000000000000000000000000000000000000002i−2i2i−2i0000
χ382-2-2222-2-22-22-22-2-22-22-2222-2-222-2-22-2-220000000000000000000000000000000000000000−2i2i−2i2i0000
χ392-2-2222-2-22-22-22-2-22-22-22-2-222-2-222-222-2000000000000000000000000000000000000000000002i−2i2i−2i
χ402-2-2222-2-22-22-22-2-22-22-22-2-222-2-222-222-200000000000000000000000000000000000000000000−2i2i−2i2i
χ412-2-2222-2-22-2-22-222-222-2-2000000000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200002i−2i2i−2i2−22−22−22−20000000000000000
χ422-2-2222-2-22-2-22-222-222-2-2000000000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000−2i2i−2i2i−22−22−22−220000000000000000
χ432-2-2222-2-22-2-22-222-222-2-2000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200002i−2i2i−2i−22−22−22−220000000000000000
χ442-2-2222-2-22-2-22-222-222-2-2000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000−2i2i−2i2i2−22−22−22−20000000000000000
χ452-2-2222-2-2-222-2-22-2-22-22222-2-222-2-2-222-22i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000
χ462-2-2222-2-2-222-2-22-2-22-22222-2-222-2-2-222-2−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000
χ472-2-2222-2-2-222-2-22-2-22-222-2-222-2-2222-2-220000000000000000000000002-2-222-2-220000000000000000
χ482-2-2222-2-2-222-2-22-2-22-222-2-222-2-2222-2-22000000000000000000000000-222-2-222-20000000000000000
χ492-2-22-2-2222-22-22-22-22-22-200000000000022−2−222−2−2−2−222−2−22200002i−2i−2i2i−i2i2−i2i2i2−i2i2−i20000000000000000
χ502-2-22-2-2222-22-22-22-22-22-200000000000022−2−222−2−2−2−222−2−2220000−2i2i2i−2ii2−i2i2−i2−i2i2−i2i20000000000000000
χ512-2-22-2-2222-22-22-22-22-22-2000000000000−2−222−2−22222−2−222−2−200002i−2i−2i2ii2−i2i2−i2−i2i2−i2i20000000000000000
χ522-2-22-2-2222-22-22-22-22-22-2000000000000−2−222−2−22222−2−222−2−20000−2i2i2i−2i−i2i2−i2i2i2−i2i2−i20000000000000000
χ532-2-22-2-2222-2-22-22-22-2-22222-2-2-2-2222-22-200000000000000000000000000000000000000002-2-220000
χ542-2-22-2-2222-2-22-22-22-2-22222-2-2-2-2222-22-20000000000000000000000000000000000000000-222-20000
χ552-2-22-2-2222-2-22-22-22-2-222-2-22222-2-2-22-22000000000000000000000000000000000000000000002-2-22
χ562-2-22-2-2222-2-22-22-22-2-222-2-22222-2-2-22-2200000000000000000000000000000000000000000000-222-2
χ572-2-22-2-222-22-222-2-2-222-2222-2-2-2-222-22-2222-2-2-2-222-2-22222-2-200000000000000000000000000000000
χ582-2-22-2-222-22-222-2-2-222-2222-2-2-2-222-22-22-2-22222-2-222-2-2-2-22200000000000000000000000000000000
χ592-2-22-2-222-22-222-2-2-222-22-2-22222-2-22-22-20000000000000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000
χ602-2-22-2-222-22-222-2-2-222-22-2-22222-2-22-22-2000000000000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000
χ614444444444-4-4-4-4-4-4-444-4000000000000000000000000000000000000000000000000000000000000
χ624444-4-4-4-4444444-4-4-4-4-4-4000000000000000000000000000000000000000000000000000000000000
χ6344-4-44i−4i4i−4i00000000000022−2222−222i2−2i22i2−2i20000ζ+ζ3+ζ5−ζ7−ζ−ζ3−ζ5+ζ7ζ+ζ3+ζ5−ζ7−ζ−ζ3−ζ5+ζ7ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5−ζ7ζ−ζ3−ζ5−ζ7−ζ+ζ3+ζ5+ζ7ζ−ζ3−ζ5−ζ7−ζ+ζ3+ζ5+ζ7ζ−ζ3+ζ5+ζ7−ζ+ζ3−ζ5−ζ7ζ−ζ3+ζ5+ζ7−ζ+ζ3−ζ5−ζ700000000000000000000000000000000
χ6444-4-44i−4i4i−4i00000000000022−2222−222i2−2i22i2−2i20000−ζ−ζ3−ζ5+ζ7ζ+ζ3+ζ5−ζ7−ζ−ζ3−ζ5+ζ7ζ+ζ3+ζ5−ζ7−ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5+ζ7−ζ+ζ3+ζ5+ζ7ζ−ζ3−ζ5−ζ7−ζ+ζ3+ζ5+ζ7ζ−ζ3−ζ5−ζ7−ζ+ζ3−ζ5−ζ7ζ−ζ3+ζ5+ζ7−ζ+ζ3−ζ5−ζ7ζ−ζ3+ζ5+ζ700000000000000000000000000000000
χ6544-4-44i−4i4i−4i000000000000−2222−2222−2i22i2−2i22i20000ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5−ζ7−ζ−ζ3−ζ5+ζ7ζ+ζ3+ζ5−ζ7−ζ−ζ3−ζ5+ζ7ζ+ζ3+ζ5−ζ7−ζ+ζ3−ζ5−ζ7ζ−ζ3+ζ5+ζ7−ζ+ζ3−ζ5−ζ7ζ−ζ3+ζ5+ζ7ζ−ζ3−ζ5−ζ7−ζ+ζ3+ζ5+ζ7ζ−ζ3−ζ5−ζ7−ζ+ζ3+ζ5+ζ700000000000000000000000000000000
χ6644-4-44i−4i4i−4i000000000000−2222−2222−2i22i2−2i22i20000−ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5+ζ7ζ+ζ3+ζ5−ζ7−ζ−ζ3−ζ5+ζ7ζ+ζ3+ζ5−ζ7−ζ−ζ3−ζ5+ζ7ζ−ζ3+ζ5+ζ7−ζ+ζ3−ζ5−ζ7ζ−ζ3+ζ5+ζ7−ζ+ζ3−ζ5−ζ7−ζ+ζ3+ζ5+ζ7ζ−ζ3−ζ5−ζ7−ζ+ζ3+ζ5+ζ7ζ−ζ3−ζ5−ζ700000000000000000000000000000000
χ6744-4-4−4i4i−4i4i00000000000022−2222−22−2i22i2−2i22i20000ζ−ζ3−ζ5−ζ7−ζ+ζ3+ζ5+ζ7ζ−ζ3−ζ5−ζ7−ζ+ζ3+ζ5+ζ7−ζ+ζ3−ζ5−ζ7ζ−ζ3+ζ5+ζ7−ζ+ζ3−ζ5−ζ7ζ−ζ3+ζ5+ζ7ζ+ζ3+ζ5−ζ7−ζ−ζ3−ζ5+ζ7ζ+ζ3+ζ5−ζ7−ζ−ζ3−ζ5+ζ7−ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5+ζ700000000000000000000000000000000
χ6844-4-4−4i4i−4i4i00000000000022−2222−22−2i22i2−2i22i20000−ζ+ζ3+ζ5+ζ7ζ−ζ3−ζ5−ζ7−ζ+ζ3+ζ5+ζ7ζ−ζ3−ζ5−ζ7ζ−ζ3+ζ5+ζ7−ζ+ζ3−ζ5−ζ7ζ−ζ3+ζ5+ζ7−ζ+ζ3−ζ5−ζ7−ζ−ζ3−ζ5+ζ7ζ+ζ3+ζ5−ζ7−ζ−ζ3−ζ5+ζ7ζ+ζ3+ζ5−ζ7ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5−ζ700000000000000000000000000000000
χ6944-4-4−4i4i−4i4i000000000000−2222−22222i2−2i22i2−2i20000ζ−ζ3+ζ5+ζ7−ζ+ζ3−ζ5−ζ7ζ−ζ3+ζ5+ζ7−ζ+ζ3−ζ5−ζ7ζ−ζ3−ζ5−ζ7−ζ+ζ3+ζ5+ζ7ζ−ζ3−ζ5−ζ7−ζ+ζ3+ζ5+ζ7−ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5+ζ7−ζ−ζ3−ζ5+ζ7ζ+ζ3+ζ5−ζ7−ζ−ζ3−ζ5+ζ7ζ+ζ3+ζ5−ζ700000000000000000000000000000000
χ7044-4-4−4i4i−4i4i000000000000−2222−22222i2−2i22i2−2i20000−ζ+ζ3−ζ5−ζ7ζ−ζ3+ζ5+ζ7−ζ+ζ3−ζ5−ζ7ζ−ζ3+ζ5+ζ7−ζ+ζ3+ζ5+ζ7ζ−ζ3−ζ5−ζ7−ζ+ζ3+ζ5+ζ7ζ−ζ3−ζ5−ζ7ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5−ζ7ζ+ζ3+ζ5−ζ7−ζ−ζ3−ζ5+ζ7ζ+ζ3+ζ5−ζ7−ζ−ζ3−ζ5+ζ700000000000000000000000000000000
χ714-44-44i−4i−4i4i00000000000022−22−22222i2−2i2−2i22i20000ζ−ζ3−ζ5−ζ7−ζ+ζ3+ζ5+ζ7−ζ+ζ3+ζ5+ζ7ζ−ζ3−ζ5−ζ7ζ−ζ3+ζ5+ζ7−ζ+ζ3−ζ5−ζ7−ζ+ζ3−ζ5−ζ7ζ−ζ3+ζ5+ζ7−ζ−ζ3−ζ5+ζ7ζ+ζ3+ζ5−ζ7ζ+ζ3+ζ5−ζ7−ζ−ζ3−ζ5+ζ7−ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5+ζ7ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5−ζ700000000000000000000000000000000
χ724-44-44i−4i−4i4i00000000000022−22−22222i2−2i2−2i22i20000−ζ+ζ3+ζ5+ζ7ζ−ζ3−ζ5−ζ7ζ−ζ3−ζ5−ζ7−ζ+ζ3+ζ5+ζ7−ζ+ζ3−ζ5−ζ7ζ−ζ3+ζ5+ζ7ζ−ζ3+ζ5+ζ7−ζ+ζ3−ζ5−ζ7ζ+ζ3+ζ5−ζ7−ζ−ζ3−ζ5+ζ7−ζ−ζ3−ζ5+ζ7ζ+ζ3+ζ5−ζ7ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5−ζ7−ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5+ζ700000000000000000000000000000000
χ734-44-44i−4i−4i4i000000000000−222222−22−2i22i22i2−2i20000ζ−ζ3+ζ5+ζ7−ζ+ζ3−ζ5−ζ7−ζ+ζ3−ζ5−ζ7ζ−ζ3+ζ5+ζ7−ζ+ζ3+ζ5+ζ7ζ−ζ3−ζ5−ζ7ζ−ζ3−ζ5−ζ7−ζ+ζ3+ζ5+ζ7ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5−ζ7−ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5+ζ7−ζ−ζ3−ζ5+ζ7ζ+ζ3+ζ5−ζ7ζ+ζ3+ζ5−ζ7−ζ−ζ3−ζ5+ζ700000000000000000000000000000000
χ744-44-44i−4i−4i4i000000000000−222222−22−2i22i22i2−2i20000−ζ+ζ3−ζ5−ζ7ζ−ζ3+ζ5+ζ7ζ−ζ3+ζ5+ζ7−ζ+ζ3−ζ5−ζ7ζ−ζ3−ζ5−ζ7−ζ+ζ3+ζ5+ζ7−ζ+ζ3+ζ5+ζ7ζ−ζ3−ζ5−ζ7−ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5+ζ7ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5−ζ7ζ+ζ3+ζ5−ζ7−ζ−ζ3−ζ5+ζ7−ζ−ζ3−ζ5+ζ7ζ+ζ3+ζ5−ζ700000000000000000000000000000000
χ754-44-4−4i4i4i−4i00000000000022−22−2222−2i22i22i2−2i20000ζ+ζ3+ζ5−ζ7−ζ−ζ3−ζ5+ζ7−ζ−ζ3−ζ5+ζ7ζ+ζ3+ζ5−ζ7−ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5+ζ7ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5−ζ7−ζ+ζ3+ζ5+ζ7ζ−ζ3−ζ5−ζ7ζ−ζ3−ζ5−ζ7−ζ+ζ3+ζ5+ζ7ζ−ζ3+ζ5+ζ7−ζ+ζ3−ζ5−ζ7−ζ+ζ3−ζ5−ζ7ζ−ζ3+ζ5+ζ700000000000000000000000000000000
χ764-44-4−4i4i4i−4i00000000000022−22−2222−2i22i22i2−2i20000−ζ−ζ3−ζ5+ζ7ζ+ζ3+ζ5−ζ7ζ+ζ3+ζ5−ζ7−ζ−ζ3−ζ5+ζ7ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5−ζ7−ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5+ζ7ζ−ζ3−ζ5−ζ7−ζ+ζ3+ζ5+ζ7−ζ+ζ3+ζ5+ζ7ζ−ζ3−ζ5−ζ7−ζ+ζ3−ζ5−ζ7ζ−ζ3+ζ5+ζ7ζ−ζ3+ζ5+ζ7−ζ+ζ3−ζ5−ζ700000000000000000000000000000000
χ774-44-4−4i4i4i−4i000000000000−222222−222i2−2i2−2i22i20000ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5−ζ7−ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5+ζ7ζ+ζ3+ζ5−ζ7−ζ−ζ3−ζ5+ζ7−ζ−ζ3−ζ5+ζ7ζ+ζ3+ζ5−ζ7ζ−ζ3+ζ5+ζ7−ζ+ζ3−ζ5−ζ7−ζ+ζ3−ζ5−ζ7ζ−ζ3+ζ5+ζ7ζ−ζ3−ζ5−ζ7−ζ+ζ3+ζ5+ζ7−ζ+ζ3+ζ5+ζ7ζ−ζ3−ζ5−ζ700000000000000000000000000000000
χ784-44-4−4i4i4i−4i000000000000−222222−222i2−2i2−2i22i20000−ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5+ζ7ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5−ζ7−ζ−ζ3−ζ5+ζ7ζ+ζ3+ζ5−ζ7ζ+ζ3+ζ5−ζ7−ζ−ζ3−ζ5+ζ7−ζ+ζ3−ζ5−ζ7ζ−ζ3+ζ5+ζ7ζ−ζ3+ζ5+ζ7−ζ+ζ3−ζ5−ζ7−ζ+ζ3+ζ5+ζ7ζ−ζ3−ζ5−ζ7ζ−ζ3−ζ5−ζ7−ζ+ζ3+ζ5+ζ700000000000000000000000000000000
χ794-4-4444-4-4-44-444-444-4-44-4000000000000000000000000000000000000000000000000000000000000
χ804-4-44-4-444-444-4-4444-44-4-4000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 16 (ζ16 = 1); i = ζ4.