Finite Group Databasebeta

← Group #144194

Character table — Group #144194

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
χ23222-22-2-2-2002-200002-200000022-2-2000022-2-222−2−222−2−222−2−222−2−2000022-2-2000022-2-222−2−222−2−222−2−222−2−200000000
χ24222-22-2-2-2002-200002-200000022-2-2000022-2-222−2−222−2−222−2−222−2−20000-2-2220000-2-222−2−222−2−222−2−222−2−22200000000
χ25222-22-2-2-2002-200002-200000022-2-2000022-2-2−2−222−2−222−2−222−2−222000022-2-2000022-2-2−2−222−2−222−2−222−2−22200000000
χ26222-22-2-2-2002-200002-200000022-2-2000022-2-2−2−222−2−222−2−222−2−2220000-2-2220000-2-22222−2−222−2−222−2−222−2−200000000
χ27222-22-2-2-2002-200002-2000000-2-2220000-2-22222−2−222−2−2−2−222−2−22222-2-2000022-2-2000022−2−2−2−22222−2−2−2−22200000000
χ28222-22-2-2-2002-200002-2000000-2-2220000-2-22222−2−222−2−2−2−222−2−222-2-2220000-2-2220000−2−22222−2−2−2−22222−2−200000000
χ29222-22-2-2-2002-200002-2000000-2-2220000-2-222−2−222−2−22222−2−222−2−222-2-2000022-2-20000−2−22222−2−2−2−22222−2−200000000
χ30222-22-2-2-2002-200002-2000000-2-2220000-2-222−2−222−2−22222−2−222−2−2-2-2220000-2-222000022−2−2−2−22222−2−2−2−22200000000
χ31222-22-2-2-200-220000-220022-2-2000022-2-2000022−2−2−2−22222−2−2−2−22222−2−222−2−2−2−222−2−222000022-2-20000-2-22200000000
χ32222-22-2-2-200-220000-220022-2-2000022-2-2000022−2−2−2−22222−2−2−2−222−2−222−2−22222−2−222−2−20000-2-222000022-2-200000000
χ33222-22-2-2-200-220000-220022-2-2000022-2-20000−2−22222−2−2−2−22222−2−222−2−222−2−2−2−222−2−2220000-2-222000022-2-200000000
χ34222-22-2-2-200-220000-220022-2-2000022-2-20000−2−22222−2−2−2−22222−2−2−2−222−2−22222−2−222−2−2000022-2-20000-2-22200000000
χ35222-22-2-2-200-220000-2200-2-2220000-2-222000022−2−2−2−222−2−22222−2−222−2−2−2−222−2−22222−2−222-2-20000-2-222000000000000
χ36222-22-2-2-200-220000-2200-2-2220000-2-222000022−2−2−2−222−2−22222−2−2−2−22222−2−222−2−2−2−222-2-222000022-2-2000000000000
χ37222-22-2-2-200-220000-2200-2-2220000-2-2220000−2−22222−2−222−2−2−2−22222−2−2−2−222−2−22222−2−2-2-222000022-2-2000000000000
χ38222-22-2-2-200-220000-2200-2-2220000-2-2220000−2−22222−2−222−2−2−2−222−2−22222−2−222−2−2−2−22222-2-20000-2-222000000000000
χ3922-22-22-2-22-200002-200002−22−22−22−22−22−22−22−22−22−22−22−200002-22-2ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ700000000
χ4022-22-22-2-22-200002-200002−22−22−22−22−22−22−22−22−22−22−22−200002-22-2−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ700000000
χ4122-22-22-2-22-200002-200002−22−22−22−22−22−22−22−2−22−22−22−220000-22-22ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ700000000
χ4222-22-22-2-22-200002-200002−22−22−22−22−22−22−22−2−22−22−22−220000-22-22−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ700000000
χ4322-22-22-2-22-200002-20000−22−22−22−22−22−22−22−222−22−22−22−20000-22-22ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ500000000
χ4422-22-22-2-22-200002-20000−22−22−22−22−22−22−22−222−22−22−22−20000-22-22−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ500000000
χ4522-22-22-2-22-200002-20000−22−22−22−22−22−22−22−22−22−22−22−2200002-22-2ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ500000000
χ4622-22-22-2-22-200002-20000−22−22−22−22−22−22−22−22−22−22−22−2200002-22-2−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ500000000
χ4722-22-22-2-2-220000-2200002−22−2−22−222−22−2−22−222−22−2−22−222-22-20000ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ700000000
χ4822-22-22-2-2-220000-2200002−22−2−22−222−22−2−22−222−22−2−22−222-22-20000−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ700000000
χ4922-22-22-2-2-220000-2200002−22−2−22−222−22−2−22−22−22−222−22−2-22-220000ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ700000000
χ5022-22-22-2-2-220000-2200002−22−2−22−222−22−2−22−22−22−222−22−2-22-220000−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ700000000
χ5122-22-22-2-2-220000-220000−22−222−22−2−22−222−22−22−22−2−22−22-22-220000ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ500000000
χ5222-22-22-2-2-220000-220000−22−222−22−2−22−222−22−22−22−2−22−22-22-220000−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ500000000
χ5322-22-22-2-2-220000-220000−22−222−22−2−22−222−22−2−22−222−22−22-22-20000ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ500000000
χ5422-22-22-2-2-220000-220000−22−222−22−2−22−222−22−2−22−222−22−22-22-20000−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ500000000
χ5522-2-2-2-22200002-200002-22−2−222−2−222−2−222−2−2200002-2-222−2−222−2−22ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ700000000
χ5622-2-2-2-22200002-200002-22−2−222−2−222−2−222−2−2200002-2-222−2−222−2−22−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ700000000
χ5722-2-2-2-22200002-200002-22−2−222−2−222−2−222−2−220000-222-2−222−2−222−2ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ700000000
χ5822-2-2-2-22200002-200002-22−2−222−2−222−2−222−2−220000-222-2−222−2−222−2−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ700000000
χ5922-2-2-2-22200002-200002-2−222−2−222−2−222−2−222−200002-2-22−222−2−222−2ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ500000000
χ6022-2-2-2-22200002-200002-2−222−2−222−2−222−2−222−200002-2-22−222−2−222−2−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ500000000
χ6122-2-2-2-22200002-200002-2−222−2−222−2−222−2−222−20000-222-22−2−222−2−22ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ500000000
χ6222-2-2-2-22200002-200002-2−222−2−222−2−222−2−222−20000-222-22−2−222−2−22−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ500000000
χ6322-2-2-2-2220000-220000-222−2−22−222−22−2−22−222−22-2-2200002−2−22−222−2ζ−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−ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ700000000
χ6422-2-2-2-2220000-220000-222−2−22−222−22−2−22−222−22-2-2200002−2−22−222−2−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+ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ700000000
χ6522-2-2-2-2220000-220000-222−2−22−222−22−2−22−222−2-222-20000−222−22−2−22ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−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+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ700000000
χ6622-2-2-2-2220000-220000-222−2−22−222−22−2−22−222−2-222-20000−222−22−2−22−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+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−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ700000000
χ6722-2-2-2-2220000-220000-22−222−22−2−22−222−22−2−222-2-220000−222−22−2−22ζ3−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−ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ500000000
χ6822-2-2-2-2220000-220000-22−222−22−2−22−222−22−2−222-2-220000−222−22−2−22−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+ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ500000000
χ6922-2-2-2-2220000-220000-22−222−22−2−22−222−22−2−22-222-200002−2−22−222−2ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−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−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ500000000
χ7022-2-2-2-2220000-220000-22−222−22−2−22−222−22−2−22-222-200002−2−22−222−2−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+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+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ500000000
χ712-2-2-222-2222-2-222-2-222-2-222222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000002i−2i000000
χ722-2-2-222-2222-2-222-2-222-2-222222222-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000−2i2i000000
χ732-2-2-222-2222-2-222-2-222-2-2-2-2-2-2-2-2-2-222222222000000000000000000000000000000000000000000000000002-20000
χ742-2-2-222-2222-2-222-2-222-2-2-2-2-2-2-2-2-2-22222222200000000000000000000000000000000000000000000000000-220000
χ752-2-2-222-22-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000000000000000002-2
χ762-2-2-222-22-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-22222000000000000000000000000000000000000000000000000000000-22
χ772-2-2-222-22-2-2-2-2-2-2222222-2-2-2-222222222-2-2-2-200000000000000000000000000000000000000000000000000002-200
χ782-2-2-222-22-2-2-2-2-2-2222222-2-2-2-222222222-2-2-2-20000000000000000000000000000000000000000000000000000-2200
χ794-444-4-4-4400004-40000-4422−22−222222−22−2222−222222−22−222222−2200000000000000000000000000000000000000000000000000000000
χ804-444-4-4-4400004-40000-44−222222−22−222222−2222−22−222222−22−222200000000000000000000000000000000000000000000000000000000
χ814-444-4-4-440000-4400004-422−22−2222−222222−22−222222−2222−22−222200000000000000000000000000000000000000000000000000000000
χ824-444-4-4-440000-4400004-4−222222−2222−22−222222−22−2222−222222−2200000000000000000000000000000000000000000000000000000000
χ834-44-4-444-44-40000-44000022−2222−2222−2222−22−2222−2222−2222−222200000000000000000000000000000000000000000000000000000000
χ844-44-4-444-44-40000-440000−2222−2222−2222−222222−2222−2222−2222−2200000000000000000000000000000000000000000000000000000000
χ854-44-4-444-4-4400004-4000022−2222−22−2222−2222−2222−222222−2222−2200000000000000000000000000000000000000000000000000000000
χ864-44-4-444-4-4400004-40000−2222−222222−2222−2222−2222−22−2222−222200000000000000000000000000000000000000000000000000000000
χ874-4-444-44-4004-40000-440044-4-40000-4-444000000000000000000000000000000000000000000000000000000000000
χ884-4-444-44-4004-40000-4400-4-444000044-4-4000000000000000000000000000000000000000000000000000000000000
χ894-4-444-44-400-4400004-400000044-4-40000-4-44400000000000000000000000000000000000000000000000000000000
χ904-4-444-44-400-4400004-4000000-4-444000044-4-400000000000000000000000000000000000000000000000000000000
χ914-4-4-444-444444-4-4-4-4-4-444000000000000000000000000000000000000000000000000000000000000000000000000
χ924-4-4-444-44-4-4444444-4-4-4-4000000000000000000000000000000000000000000000000000000000000000000000000

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