Finite Group Databasebeta

← Group #489257

Character table — Group #489257

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11111111222222222222222244444444444444444444444444888888888888888888161616161616161616163232
order12224444224444448888888844444488881616161616161616161616161616161622244488881616161616161616244444888824
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-11-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111-1-1-1-111111111111111111111-111-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-1
χ611111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111
χ711111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1111111111-1-1-1-11-1-1-1-111
χ811111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111-11111-1-1
χ91111-1-1-1-1-1-1-1-11111-1-1-1-111111-111-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-111-1-11111-1-1-1-1-111-1-1111-1-11-1
χ101111-1-1-1-1-1-1-1-11111-1-1-1-111111-111-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-11111-1-11111-1-1-1-11-1-111-1-1-111-11
χ111111-1-1-1-1-1-1-1-11111-1-1-1-111111-111-1-1-1-111-1-1-1-1-1-1-1-111111111111-1-1-111-1-1-1-1-1-11111-111-1-11-1-111-11
χ121111-1-1-1-1-1-1-1-11111-1-1-1-111111-111-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1-11111-1-1-1-1-1-111111-1-111-111-1-11-1
χ131111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1-111111-1-1-11
χ141111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-11111111-1-1-1-1-1111-1
χ151111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1111-1-1-1-1111111-1-1-1-1-1-1-1111-1-1111-1
χ161111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1111-1-1111111-1-1-1-1111-1-1-111-1-1-11
χ172222222222222222-2-2-2-2-2-2-2-2222222-2-2-2-20000000000000000200200-2-2-2-200000000000000000000
χ182222222222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-20000000000000000-200-200222200000000000000000000
χ192222222222-2-22-2-2200000000-2-2222200002222−2−2−2−22222−2−2−2−2-200-200000022−2−222−2−2000000000000
χ202222222222-2-22-2-2200000000-2-222220000−2−2−2−22222−2−2−2−22222-200-2000000−2−222−2−222000000000000
χ212222222222-2-22-2-2200000000-2-2-2-2-2-200002222−2−2−2−22222−2−2−2−22002000000−2−222−2−222000000000000
χ222222222222-2-22-2-2200000000-2-2-2-2-2-20000−2−2−2−22222−2−2−2−22222200200000022−2−222−2−2000000000000
χ2322222222-2-222-222-222222222-2-20000-2-2-2-20000000000000000022022000000000000-20000-2000000
χ2422222222-2-222-222-222222222-2-20000-2-2-2-200000000000000000-2-20-2-2000000000000200002000000
χ2522222222-2-222-222-2-2-2-2-2-2-2-2-2-2-200002222000000000000000000000000000000000002-22-20000000
χ2622222222-2-222-222-2-2-2-2-2-2-2-2-2-2-20000222200000000000000000000000000000000000-22-220000000
χ272222-2-2-2-222-2-2-222-22222-2-2-2-2-220000-2-222000000000000000000000000000000000002-2-220000000
χ282222-2-2-2-222-2-2-222-22222-2-2-2-2-220000-2-22200000000000000000000000000000000000-222-20000000
χ292222-2-2-2-222-2-2-222-2-2-2-2-22222-22000022-2-200000000000000000220-2-200000000000020000-2000000
χ302222-2-2-2-222-2-2-222-2-2-2-2-22222-22000022-2-200000000000000000-2-2022000000000000-200002000000
χ312222-2-2-2-2-2-2222-2-2200000000-2222-2-200002222−2−2−2−2−2−2−2−22222-200200000022−2−2−2−222000000000000
χ322222-2-2-2-2-2-2222-2-2200000000-2222-2-20000−2−2−2−222222222−2−2−2−2-2002000000−2−22222−2−2000000000000
χ332222-2-2-2-2-2-2222-2-2200000000-22-2-22200002222−2−2−2−2−2−2−2−22222200-2000000−2−22222−2−2000000000000
χ342222-2-2-2-2-2-2222-2-2200000000-22-2-2220000−2−2−2−222222222−2−2−2−2200-200000022−2−2−2−222000000000000
χ352222-2-2-2-2-2-2-2-222222222-2-2-2-22-222-2-222-2-20000000000000000200-200-2-22200000000000000000000
χ362222-2-2-2-2-2-2-2-222222222-2-2-2-22-2-2-22222-2-20000000000000000-20020022-2-200000000000000000000
χ3722-2-22i2i−2i−2i002i−2i02-202i2i−2i−2i22-2-2000000000022−2−222−2−2i2i2−i2−i2i2i2−i2−i202-202i−2i0000000000000000002−2i2−i200
χ3822-2-22i2i−2i−2i002i−2i02-202i2i−2i−2i22-2-2000000000022−2−222−2−2i2i2−i2−i2i2i2−i2−i20-220−2i2i000000000000000000−22−i2i200
χ3922-2-22i2i−2i−2i002i−2i02-202i2i−2i−2i22-2-20000000000−2−222−2−222−i2−i2i2i2−i2−i2i2i202-202i−2i000000000000000000−22−i2i200
χ4022-2-22i2i−2i−2i002i−2i02-202i2i−2i−2i22-2-20000000000−2−222−2−222−i2−i2i2i2−i2−i2i2i20-220−2i2i0000000000000000002−2i2−i200
χ4122-2-2−2i−2i2i2i00−2i2i02-20−2i−2i2i2i22-2-2000000000022−2−222−2−2−i2−i2i2i2−i2−i2i2i202-20−2i2i0000000000000000002−2−i2i200
χ4222-2-2−2i−2i2i2i00−2i2i02-20−2i−2i2i2i22-2-2000000000022−2−222−2−2−i2−i2i2i2−i2−i2i2i20-2202i−2i000000000000000000−22i2−i200
χ4322-2-2−2i−2i2i2i00−2i2i02-20−2i−2i2i2i22-2-20000000000−2−222−2−222i2i2−i2−i2i2i2−i2−i202-20−2i2i000000000000000000−22i2−i200
χ4422-2-2−2i−2i2i2i00−2i2i02-20−2i−2i2i2i22-2-20000000000−2−222−2−222i2i2−i2−i2i2i2−i2−i20-2202i−2i0000000000000000002−2−i2i200
χ452-2-222-22-22-200200-22−22−22−22−2002i−2i2i−2i2−22−2ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5000000i2−i2i2−i2ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7000000000000
χ462-2-222-22-22-200200-22−22−22−22−2002i−2i2i−2i2−22−2−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5000000i2−i2i2−i2−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7000000000000
χ472-2-222-22-22-200200-22−22−22−22−200−2i2i−2i2i2−22−2ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5000000−i2i2−i2i2−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7000000000000
χ482-2-222-22-22-200200-22−22−22−22−200−2i2i−2i2i2−22−2−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5000000−i2i2−i2i2ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7000000000000
χ492-2-222-22-22-200200-2−22−22−22−22002i−2i2i−2i−22−22ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7000000−i2i2−i2i2ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5000000000000
χ502-2-222-22-22-200200-2−22−22−22−22002i−2i2i−2i−22−22−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7000000−i2i2−i2i2−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5000000000000
χ512-2-222-22-22-200200-2−22−22−22−2200−2i2i−2i2i−22−22ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7000000i2−i2i2−i2−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5000000000000
χ522-2-222-22-22-200200-2−22−22−22−2200−2i2i−2i2i−22−22−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7000000i2−i2i2−i2ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5000000000000
χ532-2-22-22-22-2200200-22−22−2−22−22002i−2i−2i2i2−2−22ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7000000−i2i2i2−i2ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5000000000000
χ542-2-22-22-22-2200200-22−22−2−22−22002i−2i−2i2i2−2−22−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7000000−i2i2i2−i2−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5000000000000
χ552-2-22-22-22-2200200-22−22−2−22−2200−2i2i2i−2i2−2−22ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7000000i2−i2−i2i2−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5000000000000
χ562-2-22-22-22-2200200-22−22−2−22−2200−2i2i2i−2i2−2−22−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7000000i2−i2−i2i2ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5000000000000
χ572-2-22-22-22-2200200-2−22−222−22−2002i−2i−2i2i−222−2ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5000000i2−i2−i2i2ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7000000000000
χ582-2-22-22-22-2200200-2−22−222−22−2002i−2i−2i2i−222−2−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5000000i2−i2−i2i2−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7000000000000
χ592-2-22-22-22-2200200-2−22−222−22−200−2i2i2i−2i−222−2ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5000000−i2i2i2−i2−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7000000000000
χ602-2-22-22-22-2200200-2−22−222−22−200−2i2i2i−2i−222−2−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5000000−i2i2i2−i2ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7000000000000
χ6144444444-4-4-4-4-4-4-4-40000000044000000000000000000000000000000000000000000000000000000
χ624444-4-4-4-44444-4-4-4-4000000004-4000000000000000000000000000000000000000000000000000000
χ6344-4-44i4i−4i−4i004i−4i04-40−4i−4i4i4i-4-44400000000000000000000000000000000000000000000000000000000
χ6444-4-44i4i−4i−4i00−4i4i0-44000000000000000000022-2-2-2-2222i2i−2i−2i−2i−2i2i2i000000000000000000000000000000
χ6544-4-44i4i−4i−4i00−4i4i0-440000000000000000000-2-22222-2-2−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000
χ6644-4-4−4i−4i4i4i004i−4i0-44000000000000000000022-2-2-2-222−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000
χ6744-4-4−4i−4i4i4i004i−4i0-440000000000000000000-2-22222-2-22i2i−2i−2i−2i−2i2i2i000000000000000000000000000000
χ6844-4-4−4i−4i4i4i00−4i4i04-404i4i−4i−4i-4-44400000000000000000000000000000000000000000000000000000000
χ694-44-44i−4i−4i4i000000002i2−2i2−2i22i222−22−22220000000000ζ−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−ζ7ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ7−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ7000000000000000000000000000000
χ704-44-44i−4i−4i4i000000002i2−2i2−2i22i222−22−22220000000000−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+ζ7−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ7ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ7000000000000000000000000000000
χ714-44-44i−4i−4i4i00000000−2i22i22i2−2i2−222222−220000000000ζ+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+ζ7ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ7−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ7000000000000000000000000000000
χ724-44-44i−4i−4i4i00000000−2i22i22i2−2i2−222222−220000000000−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−ζ7−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ7ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ7000000000000000000000000000000
χ734-44-4−4i4i4i−4i000000002i2−2i2−2i22i2−222222−220000000000ζ+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−ζ7−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ7ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ7000000000000000000000000000000
χ744-44-4−4i4i4i−4i000000002i2−2i2−2i22i2−222222−220000000000−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+ζ7ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ7−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ7000000000000000000000000000000
χ754-44-4−4i4i4i−4i00000000−2i22i22i2−2i222−22−22220000000000ζ−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+ζ7−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ7ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ7000000000000000000000000000000
χ764-44-4−4i4i4i−4i00000000−2i22i22i2−2i222−22−22220000000000−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−ζ7ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ7−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ7000000000000000000000000000000
χ774-4-444-44-4-4400-400422−2222−2222−2222−22000000−2222−22220000000000000000000000000000000000000000000000
χ784-4-444-44-4-4400-4004−2222−2222−2222−222200000022−2222−220000000000000000000000000000000000000000000000
χ794-4-44-44-444-400-400422−2222−22−2222−2222000000−222222−220000000000000000000000000000000000000000000000
χ804-4-44-44-444-400-4004−2222−222222−2222−2200000022−22−22220000000000000000000000000000000000000000000000

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