Finite Group Databasebeta

← Group #146245

Character table — Group #146245

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size1111111122222222222222222222222222224444444444444444444444444444444444444444444444443232323232323232
order1222222244444444444488888888888888888888888888888888161616161616161616161616161616161616161616161616161616161616161644444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1
χ922222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ1022222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000
χ112222222222-2-2-2-222-2-2-2-20000000000000000000000002222-2-2-2-222222222−2−2−2−2−2−2−2−222222222−2−2−2−2−2−2−2−200000000
χ122222222222-2-2-2-222-2-2-2-20000000000000000000000002222-2-2-2-2−2−2−2−2−2−2−2−222222222−2−2−2−2−2−2−2−22222222200000000
χ132222222222-2-2-2-222-2-2-2-2000000000000000000000000-2-2-2-2222222222222−2−2−2−2−2−2−2−2−2−2−2−2−2−2−2−22222222200000000
χ142222222222-2-2-2-222-2-2-2-2000000000000000000000000-2-2-2-22222−2−2−2−2−2−2−2−22222222222222222−2−2−2−2−2−2−2−200000000
χ1522222222-2-222-2-2-2-222-2-22222-2-2-2-22222-2-2-2-2000000000000000000000000000000002222-2-2-2-22222-2-2-2-200000000
χ1622222222-2-222-2-2-2-222-2-22222-2-2-2-22222-2-2-2-200000000000000000000000000000000-2-2-2-22222-2-2-2-2222200000000
χ1722222222-2-222-2-2-2-222-2-2-2-2-2-22222-2-2-2-2222200000000000000002222-2-2-2-22222-2-2-2-2000000000000000000000000
χ1822222222-2-222-2-2-2-222-2-2-2-2-2-22222-2-2-2-222220000000000000000-2-2-2-22222-2-2-2-22222000000000000000000000000
χ1922222222-2-2-2-222-2-2-2-22200000000000000002222-2-2-2-2000000002222−2−2−2−2−2−2−2−222222222−2−2−2−2−2−2−2−2222200000000
χ2022222222-2-2-2-222-2-2-2-22200000000000000002222-2-2-2-200000000−2−2−2−222222222−2−2−2−2−2−2−2−222222222−2−2−2−200000000
χ2122222222-2-2-2-222-2-2-2-2220000000000000000-2-2-2-22222000000002222−2−2−2−2−2−2−2−22222−2−2−2−222222222−2−2−2−200000000
χ2222222222-2-2-2-222-2-2-2-2220000000000000000-2-2-2-2222200000000−2−2−2−222222222−2−2−2−22222−2−2−2−2−2−2−2−2222200000000
χ2322-2-22-2-2200002-200002-222−2−222−2−222−2−222−2−200002i2i−2i−2ii2i2−i2−i2i2i2−i2−i2ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ700000000
χ2422-2-22-2-2200002-200002-222−2−222−2−222−2−222−2−200002i2i−2i−2ii2i2−i2−i2i2i2−i2−i2−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ700000000
χ2522-2-22-2-2200002-200002-222−2−222−2−222−2−222−2−20000−2i−2i2i2i−i2−i2i2i2−i2−i2i2i2ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ700000000
χ2622-2-22-2-2200002-200002-222−2−222−2−222−2−222−2−20000−2i−2i2i2i−i2−i2i2i2−i2−i2i2i2−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ700000000
χ2722-2-22-2-2200002-200002-2−2−222−2−222−2−222−2−22200002i2i−2i−2i−i2−i2i2i2−i2−i2i2i2ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ500000000
χ2822-2-22-2-2200002-200002-2−2−222−2−222−2−222−2−22200002i2i−2i−2i−i2−i2i2i2−i2−i2i2i2−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ500000000
χ2922-2-22-2-2200002-200002-2−2−222−2−222−2−222−2−2220000−2i−2i2i2ii2i2−i2−i2i2i2−i2−i2ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ500000000
χ3022-2-22-2-2200002-200002-2−2−222−2−222−2−222−2−2220000−2i−2i2i2ii2i2−i2−i2i2i2−i2−i2−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ500000000
χ3122-2-22-2-220000-220000-2222−2−2−2−22222−2−2−2−2222i2i−2i−2i0000i2i2−i2−i2−i2−i2i2i2ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ700000000
χ3222-2-22-2-220000-220000-2222−2−2−2−22222−2−2−2−2222i2i−2i−2i0000i2i2−i2−i2−i2−i2i2i2−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ700000000
χ3322-2-22-2-220000-220000-2222−2−2−2−22222−2−2−2−222−2i−2i2i2i0000−i2−i2i2i2i2i2−i2−i2ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ700000000
χ3422-2-22-2-220000-220000-2222−2−2−2−22222−2−2−2−222−2i−2i2i2i0000−i2−i2i2i2i2i2−i2−i2−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ700000000
χ3522-2-22-2-220000-220000-22−2−22222−2−2−2−22222−2−22i2i−2i−2i0000−i2−i2i2i2i2i2−i2−i2ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ500000000
χ3622-2-22-2-220000-220000-22−2−22222−2−2−2−22222−2−22i2i−2i−2i0000−i2−i2i2i2i2i2−i2−i2−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ500000000
χ3722-2-22-2-220000-220000-22−2−22222−2−2−2−22222−2−2−2i−2i2i2i0000i2i2−i2−i2−i2−i2i2i2ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ500000000
χ3822-2-22-2-220000-220000-22−2−22222−2−2−2−22222−2−2−2i−2i2i2i0000i2i2−i2−i2−i2−i2i2i2−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ500000000
χ392-222-2-2-2222-2-222-2-222-2-222222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000002-2
χ402-222-2-2-2222-2-222-2-222-2-222222222-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000-22
χ412-222-2-2-2222-2-222-2-222-2-2-2-2-2-2-2-2-2-22222222200000000000000000000000000000000000000000000000000002i−2i00
χ422-222-2-2-2222-2-222-2-222-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000000000000000−2i2i00
χ432-222-2-2-22-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000000000002i−2i000000
χ442-222-2-2-22-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-22222000000000000000000000000000000000000000000000000−2i2i000000
χ452-222-2-2-22-2-2-2-2-2-2222222-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000000000000000002i−2i0000
χ462-222-2-2-22-2-2-2-2-2-2222222-2-2-2-222222222-2-2-2-200000000000000000000000000000000000000000000000000−2i2i0000
χ472-22-222-2-2002-200002-20000002-22-200002-22-2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200002-22-200002-22-2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000
χ482-22-222-2-2002-200002-20000002-22-200002-22-2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000-22-220000-22-22−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000
χ492-22-222-2-2002-200002-20000002-22-200002-22-2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200002-22-200002-22-2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000
χ502-22-222-2-2002-200002-20000002-22-200002-22-2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000-22-220000-22-22i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000
χ512-22-222-2-2002-200002-2000000-22-220000-22-22i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i22-22-200002-22-20000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i200000000
χ522-22-222-2-2002-200002-2000000-22-220000-22-22i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2-22-220000-22-220000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i200000000
χ532-22-222-2-2002-200002-2000000-22-220000-22-22−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i22-22-200002-22-20000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i200000000
χ542-22-222-2-2002-200002-2000000-22-220000-22-22−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2-22-220000-22-220000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i200000000
χ552-22-222-2-200-220000-22002-22-200002-22-20000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i22−22−22−22−2−22−22−22−2200002i−2i2i−2i0000−2i2i−2i2i00000000
χ562-22-222-2-200-220000-22002-22-200002-22-20000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2−22−22−22−222−22−22−22−20000−2i2i−2i2i00002i−2i2i−2i00000000
χ572-22-222-2-200-220000-22002-22-200002-22-20000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i22−22−22−22−2−22−22−22−220000−2i2i−2i2i00002i−2i2i−2i00000000
χ582-22-222-2-200-220000-22002-22-200002-22-20000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−22−22−22−222−22−22−22−200002i−2i2i−2i0000−2i2i−2i2i00000000
χ592-22-222-2-200-220000-2200-22-220000-22-220000i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i22−22−2−22−22−22−222−22−22i−2i2i−2i0000−2i2i−2i2i000000000000
χ602-22-222-2-200-220000-2200-22-220000-22-220000i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2−22−222−22−22−22−2−22−22−2i2i−2i2i00002i−2i2i−2i000000000000
χ612-22-222-2-200-220000-2200-22-220000-22-220000−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i22−22−2−22−22−22−222−22−2−2i2i−2i2i00002i−2i2i−2i000000000000
χ622-22-222-2-200-220000-2200-22-220000-22-220000−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−22−222−22−22−22−2−22−222i−2i2i−2i0000−2i2i−2i2i000000000000
χ632-2-222-22-22-200002-200002−2−222−2−222−2−222−2−222−2−222−2−2200002-2-22ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ500000000
χ642-2-222-22-22-200002-200002−2−222−2−222−2−222−2−222−2−222−2−2200002-2-22−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ500000000
χ652-2-222-22-22-200002-200002−2−222−2−222−2−222−2−22−222−2−222−20000-222-2ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ500000000
χ662-2-222-22-22-200002-200002−2−222−2−222−2−222−2−22−222−2−222−20000-222-2−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ500000000
χ672-2-222-22-22-200002-20000−222−2−222−2−222−2−222−22−2−222−2−220000-222-2ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ700000000
χ682-2-222-22-22-200002-20000−222−2−222−2−222−2−222−22−2−222−2−220000-222-2−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ700000000
χ692-2-222-22-22-200002-20000−222−2−222−2−222−2−222−2−222−2−222−200002-2-22ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ700000000
χ702-2-222-22-22-200002-20000−222−2−222−2−222−2−222−2−222−2−222−200002-2-22−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ700000000
χ712-2-222-22-2-220000-2200002−2−22−222−22−2−22−222−22−2−22−222−22-2-220000ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ500000000
χ722-2-222-22-2-220000-2200002−2−22−222−22−2−22−222−22−2−22−222−22-2-220000−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ500000000
χ732-2-222-22-2-220000-2200002−2−22−222−22−2−22−222−2−222−22−2−22-222-20000ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ500000000
χ742-2-222-22-2-220000-2200002−2−22−222−22−2−22−222−2−222−22−2−22-222-20000−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ500000000
χ752-2-222-22-2-220000-220000−222−22−2−22−222−22−2−222−2−22−222−2-222-20000ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ700000000
χ762-2-222-22-2-220000-220000−222−22−2−22−222−22−2−222−2−22−222−2-222-20000−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ700000000
χ772-2-222-22-2-220000-220000−222−22−2−22−222−22−2−22−222−22−2−222-2-220000ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ700000000
χ782-2-222-22-2-220000-220000−222−22−2−22−222−22−2−22−222−22−2−222-2-220000−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ700000000
χ79444-4-4-44-4004-40000-44004-44-40000-44-44000000000000000000000000000000000000000000000000000000000000
χ80444-4-4-44-4004-40000-4400-44-4400004-44-4000000000000000000000000000000000000000000000000000000000000
χ81444-4-4-44-400-4400004-40000004-44-40000-44-4400000000000000000000000000000000000000000000000000000000
χ82444-4-4-44-400-4400004-4000000-44-4400004-44-400000000000000000000000000000000000000000000000000000000
χ8344-44-44-4-44-40000-44000022−22−222222−22−2222−222222−22−222222−2200000000000000000000000000000000000000000000000000000000
χ8444-44-44-4-44-40000-440000−222222−22−222222−2222−22−222222−22−222200000000000000000000000000000000000000000000000000000000
χ8544-44-44-4-4-4400004-4000022−22−2222−222222−22−222222−2222−22−222200000000000000000000000000000000000000000000000000000000
χ8644-44-44-4-4-4400004-40000−222222−2222−22−222222−22−2222−222222−2200000000000000000000000000000000000000000000000000000000
χ874-444-4-4-444444-4-4-4-4-4-444000000000000000000000000000000000000000000000000000000000000000000000000
χ884-444-4-4-44-4-4444444-4-4-4-4000000000000000000000000000000000000000000000000000000000000000000000000
χ894-4-4-4-444400004-40000-442222−22−222222−22−22−22−222222−22−22222200000000000000000000000000000000000000000000000000000000
χ904-4-4-4-444400004-40000-44−22−222222−22−2222222222−22−222222−22−2200000000000000000000000000000000000000000000000000000000
χ914-4-4-4-44440000-4400004-42222−22−22−22−222222−22−2222222222−22−2200000000000000000000000000000000000000000000000000000000
χ924-4-4-4-44440000-4400004-4−22−2222222222−22−222222−22−22−22−22222200000000000000000000000000000000000000000000000000000000

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