Finite Group Databasebeta

← Group #489263

Character table — Group #489263

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11111111222222222222222244444444444444444444444444888888888888888888161616161616161616163232
order12224444224444448888888822444488881616161616161616161616161616161644444488881616161616161616444444888844
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
χ5111111111111111111111111-1-1-1-11111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ6111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1
χ91111-1-1-1-1-1-11-1-1111-1-1-1-1111111-1-11-1-1-11111111111-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-1-1-11-111-1-111-1-11-1
χ101111-1-1-1-1-1-11-1-1111-1-1-1-1111111-1-11-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-11111-1-11111-1-1-1-1-11-1-111-1-111-11
χ111111-1-1-1-1-1-11-1-1111-1-1-1-1111111-1-11-1-1-111-1-1-1-1-1-1-1-1111111111-111-1-111-1-1-1-1-1-111111-111-1-1-1-111-11
χ121111-1-1-1-1-1-11-1-1111-1-1-1-1111111-1-11-1-1-111-1-1-1-1-1-1-1-1111111111-1-1-11111-1-1-1-1-1-11111-11-1-11111-1-11-1
χ131111-1-1-1-1-1-11-1-1111-1-1-1-11111-1-1111-1-1-11111111111-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-111111-1-1-11111-1-1-11
χ141111-1-1-1-1-1-11-1-1111-1-1-1-11111-1-1111-1-1-11111111111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-11111-1111-1-1-1-1111-1
χ151111-1-1-1-1-1-11-1-1111-1-1-1-11111-1-1111-1-1-111-1-1-1-1-1-1-1-111111111-1111-1-1-1-1111111-1-1-1-11-1-1-111-1-1111-1
χ161111-1-1-1-1-1-11-1-1111-1-1-1-11111-1-1111-1-1-111-1-1-1-1-1-1-1-111111111-11-1-111-1-1111111-1-1-1-1-1111-1-111-1-1-11
χ172222222222222222-2-2-2-2-2-2-2-2222222-2-2-2-20000000000000000220000-2-2-2-200000000000000000000
χ182222222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-20000000000000000-2-20000222200000000000000000000
χ1922222222222-2-2-2-22000000002222-2-200002222−2−2−2−22222−2−2−2−2-2-20000000022−2−222−2−2000000000000
χ2022222222222-2-2-2-22000000002222-2-20000−2−2−2−22222−2−2−2−22222-2-200000000−2−222−2−222000000000000
χ2122222222222-2-2-2-2200000000-2-2-2-2-2-200002222−2−2−2−22222−2−2−2−22200000000−2−222−2−222000000000000
χ2222222222222-2-2-2-2200000000-2-2-2-2-2-20000−2−2−2−22222−2−2−2−22222220000000022−2−222−2−2000000000000
χ2322222222-2-2-22222-2222222220000-2-2-2-2-2-20000000000000000002222000000000000-2-20000000000
χ2422222222-2-2-22222-2222222220000-2-2-2-2-2-2000000000000000000-2-2-2-2000000000000220000000000
χ2522222222-2-2-22222-2-2-2-2-2-2-2-2-20000-2-222220000000000000000000000000000000000002-22-2000000
χ2622222222-2-2-22222-2-2-2-2-2-2-2-2-20000-2-22222000000000000000000000000000000000000-22-22000000
χ272222-2-2-2-222-2-2-222-22222-2-2-2-20000-22-2-2220000000000000000000000000000000000002-2-22000000
χ282222-2-2-2-222-2-2-222-22222-2-2-2-20000-22-2-222000000000000000000000000000000000000-222-2000000
χ292222-2-2-2-222-2-2-222-2-2-2-2-222220000-2222-2-200000000000000000022-2-2000000000000-220000000000
χ302222-2-2-2-222-2-2-222-2-2-2-2-222220000-2222-2-2000000000000000000-2-2220000000000002-20000000000
χ312222-2-2-2-2-2-2222-2-220000000022-2-2-2200002222−2−2−2−2−2−2−2−22222-220000000022−2−2−2−222000000000000
χ322222-2-2-2-2-2-2222-2-220000000022-2-2-220000−2−2−2−222222222−2−2−2−2-2200000000−2−22222−2−2000000000000
χ332222-2-2-2-2-2-2222-2-2200000000-2-222-2200002222−2−2−2−2−2−2−2−222222-200000000−2−22222−2−2000000000000
χ342222-2-2-2-2-2-2222-2-2200000000-2-222-220000−2−2−2−222222222−2−2−2−22-20000000022−2−2−2−222000000000000
χ352222-2-2-2-2-2-22-2-22222222-2-2-2-222-2-22-222-2-200000000000000002-20000-2-22200000000000000000000
χ362222-2-2-2-2-2-22-2-22222222-2-2-2-2-2-2222-222-2-20000000000000000-22000022-2-200000000000000000000
χ3722-2-222-2-22-220000-222−2−222−2−22-22-2002−22−2ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ50000002−22−2ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5000000000000
χ3822-2-222-2-22-220000-222−2−222−2−22-22-2002−22−2−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ50000002−22−2−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5000000000000
χ3922-2-222-2-22-220000-222−2−222−2−2-22-22002−22−2ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5000000−22−22−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5000000000000
χ4022-2-222-2-22-220000-222−2−222−2−2-22-22002−22−2−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5000000−22−22ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5000000000000
χ4122-2-222-2-22-220000-2−2−222−2−2222-22-200−22−22ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7000000−22−22ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7000000000000
χ4222-2-222-2-22-220000-2−2−222−2−2222-22-200−22−22−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7000000−22−22−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7000000000000
χ4322-2-222-2-22-220000-2−2−222−2−222-22-2200−22−22ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ70000002−22−2−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7000000000000
χ4422-2-222-2-22-220000-2−2−222−2−222-22-2200−22−22−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ70000002−22−2ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7000000000000
χ4522-2-2-2-222-2220000-222−2−2−2−2222-2-22002−2−22ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7000000−222−2ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7000000000000
χ4622-2-2-2-222-2220000-222−2−2−2−2222-2-22002−2−22−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7000000−222−2−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7000000000000
χ4722-2-2-2-222-2220000-222−2−2−2−222-222-2002−2−22ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ70000002−2−22−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7000000000000
χ4822-2-2-2-222-2220000-222−2−2−2−222-222-2002−2−22−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ70000002−2−22ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7000000000000
χ4922-2-2-2-222-2220000-2−2−22222−2−22-2-2200−222−2ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ50000002−2−22ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5000000000000
χ5022-2-2-2-222-2220000-2−2−22222−2−22-2-2200−222−2−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ50000002−2−22−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5000000000000
χ5122-2-2-2-222-2220000-2−2−22222−2−2-222-200−222−2ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5000000−222−2−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5000000000000
χ5222-2-2-2-222-2220000-2−2−22222−2−2-222-200−222−2−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5000000−222−2ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5000000000000
χ532-22-22i−2i2i−2i0002i−2i2-202i−2i2i−2i2-22-20000000000i2−i2i2−i2i2−i2i2−i22−22−22−22−2002-22i−2i000000000000000000i2−i22−200
χ542-22-22i−2i2i−2i0002i−2i2-202i−2i2i−2i2-22-20000000000i2−i2i2−i2i2−i2i2−i22−22−22−22−200-22−2i2i000000000000000000−i2i2−2200
χ552-22-22i−2i2i−2i0002i−2i2-202i−2i2i−2i2-22-20000000000−i2i2−i2i2−i2i2−i2i2−22−22−22−22002-22i−2i000000000000000000−i2i2−2200
χ562-22-22i−2i2i−2i0002i−2i2-202i−2i2i−2i2-22-20000000000−i2i2−i2i2−i2i2−i2i2−22−22−22−2200-22−2i2i000000000000000000i2−i22−200
χ572-22-2−2i2i−2i2i000−2i2i2-20−2i2i−2i2i2-22-20000000000i2−i2i2−i2i2−i2i2−i2−22−22−22−22002-2−2i2i000000000000000000i2−i2−2200
χ582-22-2−2i2i−2i2i000−2i2i2-20−2i2i−2i2i2-22-20000000000i2−i2i2−i2i2−i2i2−i2−22−22−22−2200-222i−2i000000000000000000−i2i22−200
χ592-22-2−2i2i−2i2i000−2i2i2-20−2i2i−2i2i2-22-20000000000−i2i2−i2i2−i2i2−i2i22−22−22−22−2002-2−2i2i000000000000000000−i2i22−200
χ602-22-2−2i2i−2i2i000−2i2i2-20−2i2i−2i2i2-22-20000000000−i2i2−i2i2−i2i2−i2i22−22−22−22−200-222i−2i000000000000000000i2−i2−2200
χ6144444444-4-4-4-4-4-4-4-40000000000004400000000000000000000000000000000000000000000000000
χ624444-4-4-4-444-444-4-4-40000000000004-400000000000000000000000000000000000000000000000000
χ6344-4-444-4-4-44-4000042222−22−222222−22−22000000−2222−22220000000000000000000000000000000000000000000000
χ6444-4-444-4-4-44-400004−22−222222−22−22222200000022−2222−220000000000000000000000000000000000000000000000
χ6544-4-4-4-4444-4-4000042222−22−22−22−222222000000−222222−220000000000000000000000000000000000000000000000
χ6644-4-4-4-4444-4-400004−22−2222222222−22−2200000022−22−22220000000000000000000000000000000000000000000000
χ674-44-44i−4i4i−4i0004i−4i4-40−4i4i−4i4i-44-4400000000000000000000000000000000000000000000000000000000
χ684-44-44i−4i4i−4i000−4i4i-4400000000000000000002i−2i2i−2i−2i2i−2i2i2-22-2-22-22000000000000000000000000000000
χ694-44-44i−4i4i−4i000−4i4i-440000000000000000000−2i2i−2i2i2i−2i2i−2i-22-222-22-2000000000000000000000000000000
χ704-44-4−4i4i−4i4i0004i−4i-4400000000000000000002i−2i2i−2i−2i2i−2i2i-22-222-22-2000000000000000000000000000000
χ714-44-4−4i4i−4i4i0004i−4i-440000000000000000000−2i2i−2i2i2i−2i2i−2i2-22-2-22-22000000000000000000000000000000
χ724-44-4−4i4i−4i4i000−4i4i4-404i−4i4i−4i-44-4400000000000000000000000000000000000000000000000000000000
χ734-4-444i−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
χ744-4-444i−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
χ754-4-444i−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
χ764-4-444i−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
χ774-4-44−4i4i4i−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
χ784-4-44−4i4i4i−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
χ794-4-44−4i4i4i−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
χ804-4-44−4i4i4i−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

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