Finite Group Databasebeta

← Group #499255

Character table — Group #499255

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size111111112222222222222222222244444444444444444444888888888888888816161616161616161616161616161616
order12224444224444444444888888888888161616161616161616161616161616162444888816161616161616162224444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111111-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111111
χ511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-1111-1-1-1-1
χ611111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-1-1-11111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1-11111111-1-1-1-1
χ91111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-1-111-1-111-111-1-1
χ101111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1111-1-111-1-11-1-111
χ111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111111-1-111-1-1-1-11-1-111
χ121111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-111-1-11111-111-1-1
χ131111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1111111-1-1-1-1-11111-1-1-111
χ141111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-111111-1-1-1-1111-1-1
χ151111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1111-1-1-1-111-1-1111-1-1
χ161111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1-1-1-11111-1-111-1-1-111
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
χ1922222222-2-222-2-2-2-222-2-20000000000002222−2−2−2−22222−2−2−2−22-22-2000022−2−222−2−20000000000000000
χ2022222222-2-222-2-2-2-222-2-20000000000002222−2−2−2−22222−2−2−2−2-22-220000−2−222−2−2220000000000000000
χ2122222222-2-222-2-2-2-222-2-2000000000000−2−2−2−22222−2−2−2−222222-22-20000−2−222−2−2220000000000000000
χ2222222222-2-222-2-2-2-222-2-2000000000000−2−2−2−22222−2−2−2−22222-22-22000022−2−222−2−20000000000000000
χ2322222222-2-2-2-222-2-2-2-22222222222-2-2-2-2000000000000000000000000000000000020000002-2-20000
χ2422222222-2-2-2-222-2-2-2-22222222222-2-2-2-20000000000000000000000000000000000-2000000-2220000
χ2522222222-2-2-2-222-2-2-2-222-2-2-2-2-2-2-2-22222000000000000000000000000000000002-202-200000000000
χ2622222222-2-2-2-222-2-2-2-222-2-2-2-2-2-2-2-2222200000000000000000000000000000000-220-2200000000000
χ272222-2-2-2-222-2-2-2-2-2-222222222-2-2-2-222-2-2000000000000000022-2-2-2-222000000000000000000000000
χ282222-2-2-2-222-2-2-2-2-2-222222222-2-2-2-222-2-20000000000000000-2-22222-2-2000000000000000000000000
χ292222-2-2-2-2-2-222-2-222-2-2222222-2-2-2-2-2-222000000000000000000000000000000002-20-2200000000000
χ302222-2-2-2-2-2-222-2-222-2-2222222-2-2-2-2-2-22200000000000000000000000000000000-2202-200000000000
χ312222-2-2-2-2-2-222-2-222-2-222-2-2-2-2222222-2-200000000000000000000000000000000002000000-22-20000
χ322222-2-2-2-2-2-222-2-222-2-222-2-2-2-2222222-2-20000000000000000000000000000000000-20000002-220000
χ332222-2-2-2-2-2-2-2-2222222-2-20000000000002222−2−2−2−2−2−2−2−222222-2-22000022−2−2−2−2220000000000000000
χ342222-2-2-2-2-2-2-2-2222222-2-20000000000002222−2−2−2−2−2−2−2−22222-222-20000−2−22222−2−20000000000000000
χ352222-2-2-2-2-2-2-2-2222222-2-2000000000000−2−2−2−222222222−2−2−2−22-2-220000−2−22222−2−20000000000000000
χ362222-2-2-2-2-2-2-2-2222222-2-2000000000000−2−2−2−222222222−2−2−2−2-222-2000022−2−2−2−2220000000000000000
χ3722-2-22i2i−2i−2i2-22i−2i2i−2i2i−2i2-22-2000000000000i2i2−i2−i2i2i2−i2−i222−2−222−2−200002i−2i2-22−22−2i2−i2i2−i20000000000000000
χ3822-2-22i2i−2i−2i2-22i−2i2i−2i2i−2i2-22-2000000000000i2i2−i2−i2i2i2−i2−i222−2−222−2−20000−2i2i-22−22−22−i2i2−i2i20000000000000000
χ3922-2-22i2i−2i−2i2-22i−2i2i−2i2i−2i2-22-2000000000000−i2−i2i2i2−i2−i2i2i2−2−222−2−22200002i−2i2-2−22−22−i2i2−i2i20000000000000000
χ4022-2-22i2i−2i−2i2-22i−2i2i−2i2i−2i2-22-2000000000000−i2−i2i2i2−i2−i2i2i2−2−222−2−2220000−2i2i-222−22−2i2−i2i2−i20000000000000000
χ4122-2-22i2i−2i−2i2-2−2i2i−2i2i2i−2i-22-222i2i−2i−2i22-2-22i−2i2-2000000000000000000000000000000000000000000002i−2i2-2
χ4222-2-22i2i−2i−2i2-2−2i2i−2i2i2i−2i-22-222i2i−2i−2i22-2-22i−2i2-200000000000000000000000000000000000000000000−2i2i-22
χ4322-2-22i2i−2i−2i2-2−2i2i−2i2i2i−2i-22-22−2i−2i2i2i-2-222−2i2i-2200000000000000000000000000000000000002i−2i2-20000000
χ4422-2-22i2i−2i−2i2-2−2i2i−2i2i2i−2i-22-22−2i−2i2i2i-2-222−2i2i-220000000000000000000000000000000000000−2i2i-220000000
χ4522-2-22i2i−2i−2i-222i−2i−2i2i−2i2i2-2-222i2i−2i−2i22-2-2−2i2i-222i2i−2i−2i−2i−2i2i2i22-2-2-2-22200000000000000000000000000000000
χ4622-2-22i2i−2i−2i-222i−2i−2i2i−2i2i2-2-222i2i−2i−2i22-2-2−2i2i-22−2i−2i2i2i2i2i−2i−2i-2-22222-2-200000000000000000000000000000000
χ4722-2-22i2i−2i−2i-222i−2i−2i2i−2i2i2-2-22−2i−2i2i2i-2-2222i−2i2-20000000000000000000000002-2-222i−2i−2i2i0000000000000000
χ4822-2-22i2i−2i−2i-222i−2i−2i2i−2i2i2-2-22−2i−2i2i2i-2-2222i−2i2-2000000000000000000000000-222-2−2i2i2i−2i0000000000000000
χ4922-2-2−2i−2i2i2i2-22i−2i2i−2i−2i2i-22-222i2i−2i−2i-2-2222i−2i-2200000000000000000000000000000000000002i−2i-220000000
χ5022-2-2−2i−2i2i2i2-22i−2i2i−2i−2i2i-22-222i2i−2i−2i-2-2222i−2i-220000000000000000000000000000000000000−2i2i2-20000000
χ5122-2-2−2i−2i2i2i2-22i−2i2i−2i−2i2i-22-22−2i−2i2i2i22-2-2−2i2i2-2000000000000000000000000000000000000000000002i−2i-22
χ5222-2-2−2i−2i2i2i2-22i−2i2i−2i−2i2i-22-22−2i−2i2i2i22-2-2−2i2i2-200000000000000000000000000000000000000000000−2i2i2-2
χ5322-2-2−2i−2i2i2i2-2−2i2i−2i2i−2i2i2-22-2000000000000i2i2−i2−i2i2i2−i2−i2−2−222−2−22200002i−2i-222−22−2−i2i2−i2i20000000000000000
χ5422-2-2−2i−2i2i2i2-2−2i2i−2i2i−2i2i2-22-2000000000000i2i2−i2−i2i2i2−i2−i2−2−222−2−2220000−2i2i2-2−22−22i2−i2i2−i20000000000000000
χ5522-2-2−2i−2i2i2i2-2−2i2i−2i2i−2i2i2-22-2000000000000−i2−i2i2i2−i2−i2i2i222−2−222−2−200002i−2i-22−22−22i2−i2i2−i20000000000000000
χ5622-2-2−2i−2i2i2i2-2−2i2i−2i2i−2i2i2-22-2000000000000−i2−i2i2i2−i2−i2i2i222−2−222−2−20000−2i2i2-22−22−2−i2i2−i2i20000000000000000
χ5722-2-2−2i−2i2i2i-22−2i2i2i−2i2i−2i2-2-222i2i−2i−2i-2-222−2i2i2-20000000000000000000000002-2-22−2i2i2i−2i0000000000000000
χ5822-2-2−2i−2i2i2i-22−2i2i2i−2i2i−2i2-2-222i2i−2i−2i-2-222−2i2i2-2000000000000000000000000-222-22i−2i−2i2i0000000000000000
χ5922-2-2−2i−2i2i2i-22−2i2i2i−2i2i−2i2-2-22−2i−2i2i2i22-2-22i−2i-222i2i−2i−2i−2i−2i2i2i-2-22222-2-200000000000000000000000000000000
χ6022-2-2−2i−2i2i2i-22−2i2i2i−2i2i−2i2-2-22−2i−2i2i2i22-2-22i−2i-22−2i−2i2i2i2i2i−2i−2i22-2-2-2-22200000000000000000000000000000000
χ614444444444-4-4-4-444-4-4-4-4000000000000000000000000000000000000000000000000000000000000
χ624444-4-4-4-4444444-4-4-4-4-4-4000000000000000000000000000000000000000000000000000000000000
χ6344-4-44i4i−4i−4i-44−4i4i4i−4i−4i4i-444-4000000000000000000000000000000000000000000000000000000000000
χ6444-4-4−4i−4i4i4i-444i−4i−4i4i4i−4i-444-4000000000000000000000000000000000000000000000000000000000000
χ654-44-44-44-400000000000022−2222−2222−2222−220000ζ+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
χ664-44-44-44-400000000000022−2222−2222−2222−220000−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
χ674-44-44-44-4000000000000−2222−2222−2222−22220000ζ−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
χ684-44-44-44-4000000000000−2222−2222−2222−22220000−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
χ694-44-4-44-4400000000000022−2222−22−2222−22220000ζ−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
χ704-44-4-44-4400000000000022−2222−22−2222−22220000−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
χ714-44-4-44-44000000000000−2222−222222−2222−220000ζ+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
χ724-44-4-44-44000000000000−2222−222222−2222−220000−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
χ734-4-444i−4i−4i4i0000000000002i2−2i2−2i22i222−22−22220000ζ+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+ζ700000000000000000000000000000000
χ744-4-444i−4i−4i4i0000000000002i2−2i2−2i22i222−22−22220000−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−ζ700000000000000000000000000000000
χ754-4-444i−4i−4i4i000000000000−2i22i22i2−2i2−222222−220000ζ−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+ζ700000000000000000000000000000000
χ764-4-444i−4i−4i4i000000000000−2i22i22i2−2i2−222222−220000−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−ζ700000000000000000000000000000000
χ774-4-44−4i4i4i−4i0000000000002i2−2i2−2i22i2−222222−220000ζ−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−ζ700000000000000000000000000000000
χ784-4-44−4i4i4i−4i0000000000002i2−2i2−2i22i2−222222−220000−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+ζ700000000000000000000000000000000
χ794-4-44−4i4i4i−4i000000000000−2i22i22i2−2i222−22−22220000ζ+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−ζ700000000000000000000000000000000
χ804-4-44−4i4i4i−4i000000000000−2i22i22i2−2i222−22−22220000−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+ζ700000000000000000000000000000000

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