Finite Group Databasebeta

← Group #489264

Character table — Group #489264

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11111111222222222222222244444444444444444444444444888888888888888888161616161616161616163232
order12224444444444448888888822244488881616161616161616161616161616161644444488881616161616161616244444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
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
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111-1-11-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ61111111111111111111111111-1-11-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1
χ91111-1-1-1-1-1-1-1-11111-1-1-1-11111-1111-1-1-1-11111111111-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-1-1-11-111-1-111-1-11-1
χ101111-1-1-1-1-1-1-1-11111-1-1-1-11111-1111-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-11111-1-11111-1-1-1-1-11-1-111-1-111-11
χ111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1111-1-1-1-111-1-1-1-1-1-1-1-1111111111-111-1-111-1-1-1-1-1-111111-111-1-1-1-111-11
χ121111-1-1-1-1-1-1-1-11111-1-1-1-11111-1111-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1-11111-1-1-1-1-1-11111-11-1-11111-1-11-1
χ131111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1111-1-11111111111-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-111111-1-1-11111-1-1-11
χ141111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1111-1-11111111111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-11111-1111-1-1-1-1111-1
χ151111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1111-1-111-1-1-1-1-1-1-1-111111111-1111-1-1-1-1111111-1-1-1-11-1-1-111-1-1111-1
χ161111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1111-1-111-1-1-1-1-1-1-1-111111111-11-1-111-1-1111111-1-1-1-1-1111-1-111-1-1-11
χ172222222222222222-2-2-2-2-2-2-2-2222222-2-2-2-20000000000000000220000-2-2-2-200000000000000000000
χ182222222222222222-2-2-2-2-2-2-2-22-2-22-2-2-2-2-2-20000000000000000-2-20000222200000000000000000000
χ192222222222-2-222-2-200000000-222-22200002222−2−2−2−22222−2−2−2−2-2-20000000022−2−222−2−2000000000000
χ202222222222-2-222-2-200000000-222-2220000−2−2−2−22222−2−2−2−22222-2-200000000−2−222−2−222000000000000
χ212222222222-2-222-2-200000000-2-2-2-2-2-200002222−2−2−2−22222−2−2−2−22200000000−2−222−2−222000000000000
χ222222222222-2-222-2-200000000-2-2-2-2-2-20000−2−2−2−22222−2−2−2−22222220000000022−2−222−2−2000000000000
χ2322222222-2-222-2-22222222222-200-200-2-2-2-20000000000000000002222000000000000-2-20000000000
χ2422222222-2-222-2-22222222222-200-200-2-2-2-2000000000000000000-2-2-2-2000000000000220000000000
χ2522222222-2-222-2-222-2-2-2-2-2-2-2-2-200-20022220000000000000000000000000000000000002-22-2000000
χ2622222222-2-222-2-222-2-2-2-2-2-2-2-2-200-2002222000000000000000000000000000000000000-22-22000000
χ272222-2-2-2-222-2-2-2-2222222-2-2-2-2200-200-2-2220000000000000000000000000000000000002-2-22000000
χ282222-2-2-2-222-2-2-2-2222222-2-2-2-2200-200-2-222000000000000000000000000000000000000-222-2000000
χ292222-2-2-2-222-2-2-2-222-2-2-2-22222200-20022-2-200000000000000000022-2-2000000000000-220000000000
χ302222-2-2-2-222-2-2-2-222-2-2-2-22222200-20022-2-2000000000000000000-2-2220000000000002-20000000000
χ312222-2-2-2-2-2-22222-2-200000000222-2-2-200002222−2−2−2−2−2−2−2−22222-220000000022−2−2−2−222000000000000
χ322222-2-2-2-2-2-22222-2-200000000222-2-2-20000−2−2−2−222222222−2−2−2−2-2200000000−2−22222−2−2000000000000
χ332222-2-2-2-2-2-22222-2-2000000002-2-2-22200002222−2−2−2−2−2−2−2−222222-200000000−2−22222−2−2000000000000
χ342222-2-2-2-2-2-22222-2-2000000002-2-2-2220000−2−2−2−222222222−2−2−2−22-20000000022−2−2−2−222000000000000
χ352222-2-2-2-2-2-2-2-222222222-2-2-2-2-2222-2-222-2-200000000000000002-20000-2-22200000000000000000000
χ362222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-222222-2-20000000000000000-22000022-2-200000000000000000000
χ372-22-22i2i−2i−2i002i−2i002-22i2i−2i−2i22-2-20000000000i2i2−i2−i2i2i2−i2−i222−2−222−2−2002i−2i2-20000000000000000002−2i2−i200
χ382-22-22i2i−2i−2i002i−2i002-22i2i−2i−2i22-2-20000000000i2i2−i2−i2i2i2−i2−i222−2−222−2−200−2i2i-22000000000000000000−22−i2i200
χ392-22-22i2i−2i−2i002i−2i002-22i2i−2i−2i22-2-20000000000−i2−i2i2i2−i2−i2i2i2−2−222−2−222002i−2i2-2000000000000000000−22−i2i200
χ402-22-22i2i−2i−2i002i−2i002-22i2i−2i−2i22-2-20000000000−i2−i2i2i2−i2−i2i2i2−2−222−2−22200−2i2i-220000000000000000002−2i2−i200
χ412-22-2−2i−2i2i2i00−2i2i002-2−2i−2i2i2i22-2-20000000000i2i2−i2−i2i2i2−i2−i2−2−222−2−222002i−2i-220000000000000000002−2−i2i200
χ422-22-2−2i−2i2i2i00−2i2i002-2−2i−2i2i2i22-2-20000000000i2i2−i2−i2i2i2−i2−i2−2−222−2−22200−2i2i2-2000000000000000000−22i2−i200
χ432-22-2−2i−2i2i2i00−2i2i002-2−2i−2i2i2i22-2-20000000000−i2−i2i2i2−i2−i2i2i222−2−222−2−2002i−2i-22000000000000000000−22i2−i200
χ442-22-2−2i−2i2i2i00−2i2i002-2−2i−2i2i2i22-2-20000000000−i2−i2i2i2−i2−i2i2i222−2−222−2−200−2i2i2-20000000000000000002−2−i2i200
χ452-2-222i−2i2i−2i2i−2i002-200i2−i2i2−i22−22−202-202i−2ii2−i22−2ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ70000002−2i2−i2ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7000000000000
χ462-2-222i−2i2i−2i2i−2i002-200i2−i2i2−i22−22−202-202i−2ii2−i22−2−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ70000002−2i2−i2−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7000000000000
χ472-2-222i−2i2i−2i2i−2i002-200i2−i2i2−i22−22−20-220−2i2ii2−i22−2ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7000000−22−i2i2−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7000000000000
χ482-2-222i−2i2i−2i2i−2i002-200i2−i2i2−i22−22−20-220−2i2ii2−i22−2−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7000000−22−i2i2ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7000000000000
χ492-2-222i−2i2i−2i2i−2i002-200−i2i2−i2i2−22−2202-202i−2i−i2i2−22ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5000000−22−i2i2ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5000000000000
χ502-2-222i−2i2i−2i2i−2i002-200−i2i2−i2i2−22−2202-202i−2i−i2i2−22−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5000000−22−i2i2−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5000000000000
χ512-2-222i−2i2i−2i2i−2i002-200−i2i2−i2i2−22−220-220−2i2i−i2i2−22ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ50000002−2i2−i2−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5000000000000
χ522-2-222i−2i2i−2i2i−2i002-200−i2i2−i2i2−22−220-220−2i2i−i2i2−22−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ50000002−2i2−i2ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5000000000000
χ532-2-22−2i2i−2i2i−2i2i002-200i2−i2i2−i2−22−2202-20−2i2ii2−i2−22ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5000000−22i2−i2ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5000000000000
χ542-2-22−2i2i−2i2i−2i2i002-200i2−i2i2−i2−22−2202-20−2i2ii2−i2−22−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5000000−22i2−i2−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5000000000000
χ552-2-22−2i2i−2i2i−2i2i002-200i2−i2i2−i2−22−220-2202i−2ii2−i2−22ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ50000002−2−i2i2−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5000000000000
χ562-2-22−2i2i−2i2i−2i2i002-200i2−i2i2−i2−22−220-2202i−2ii2−i2−22−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ50000002−2−i2i2ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5000000000000
χ572-2-22−2i2i−2i2i−2i2i002-200−i2i2−i2i22−22−202-20−2i2i−i2i22−2ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ70000002−2−i2i2ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7000000000000
χ582-2-22−2i2i−2i2i−2i2i002-200−i2i2−i2i22−22−202-20−2i2i−i2i22−2−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ70000002−2−i2i2−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7000000000000
χ592-2-22−2i2i−2i2i−2i2i002-200−i2i2−i2i22−22−20-2202i−2i−i2i22−2ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7000000−22i2−i2−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7000000000000
χ602-2-22−2i2i−2i2i−2i2i002-200−i2i2−i2i22−22−20-2202i−2i−i2i22−2−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7000000−22i2−i2ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7000000000000
χ6144444444-4-4-4-4-4-4-4-40000000040040000000000000000000000000000000000000000000000000000
χ624444-4-4-4-44444-4-4-4-400000000-40040000000000000000000000000000000000000000000000000000
χ6344-4-44-4-440000000022−22−222222−22−22220000000000ζ−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−ζ7000000000000000000000000000000
χ6444-4-44-4-440000000022−22−222222−22−22220000000000−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+ζ7000000000000000000000000000000
χ6544-4-44-4-4400000000−222222−22−222222−220000000000ζ+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+ζ7000000000000000000000000000000
χ6644-4-44-4-4400000000−222222−22−222222−220000000000−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−ζ7000000000000000000000000000000
χ6744-4-4-444-40000000022−22−2222−222222−220000000000ζ+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−ζ7000000000000000000000000000000
χ6844-4-4-444-40000000022−22−2222−222222−220000000000−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+ζ7000000000000000000000000000000
χ6944-4-4-444-400000000−222222−2222−22−22220000000000ζ−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+ζ7000000000000000000000000000000
χ7044-4-4-444-400000000−222222−2222−22−22220000000000−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−ζ7000000000000000000000000000000
χ714-44-44i4i−4i−4i004i−4i004-4−4i−4i4i4i-4-44400000000000000000000000000000000000000000000000000000000
χ724-44-44i4i−4i−4i00−4i4i00-440000000000000000002i2i−2i−2i−2i−2i2i2i22-2-2-2-222000000000000000000000000000000
χ734-44-44i4i−4i−4i00−4i4i00-44000000000000000000−2i−2i2i2i2i2i−2i−2i-2-22222-2-2000000000000000000000000000000
χ744-44-4−4i−4i4i4i004i−4i00-440000000000000000002i2i−2i−2i−2i−2i2i2i-2-22222-2-2000000000000000000000000000000
χ754-44-4−4i−4i4i4i004i−4i00-44000000000000000000−2i−2i2i2i2i2i−2i−2i22-2-2-2-222000000000000000000000000000000
χ764-44-4−4i−4i4i4i00−4i4i004-44i4i−4i−4i-4-44400000000000000000000000000000000000000000000000000000000
χ774-4-444i−4i4i−4i−4i4i00-44002i2−2i22i2−2i222−2222−22000000−2i22i2−22220000000000000000000000000000000000000000000000
χ784-4-444i−4i4i−4i−4i4i00-4400−2i22i2−2i22i2−2222−22220000002i2−2i222−220000000000000000000000000000000000000000000000
χ794-4-44−4i4i−4i4i4i−4i00-44002i2−2i22i2−2i2−2222−2222000000−2i22i222−220000000000000000000000000000000000000000000000
χ804-4-44−4i4i−4i4i4i−4i00-4400−2i22i2−2i22i222−2222−220000002i2−2i2−22220000000000000000000000000000000000000000000000

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