Finite Group Databasebeta

← Group #492545

Character table — Group #492545

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size111122222222222222222222444444444444444444444444488888888888888888816161616161632323232
order122244448888888816161616161616164444488888888161616161616161616161616224444888816161616161616162488882244
χ111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ4111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11-111-1-1-1-111
χ61111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-11-1-11111-1-1
χ71111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111-111-1-111-1-1
χ81111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-11-1-111-1-111
χ911111111-1-1-1-111111111111111-1-11-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1111111-1-11111-1-1-1-111-1-1-1-11-11-1
χ1011111111-1-1-1-111111111111111-1-11-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-111-1-11111-1-1-1-1-1-11111-11-11
χ1111111111-1-1-1-1111111111111-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1111111-1-1-1-1-11-11
χ1211111111-1-1-1-1111111111111-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-1-1-11111-1-111111-11-1
χ1311111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11-1-1-1-1-1-111-1-1-1-1111111111-111-1-111-1-1-1-1-1-111111-1-1-111-111-1
χ1411111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11-1-1-1-1-1-111-1-1-1-1111111111-1-1-11111-1-1-1-1-1-11111-1111-1-11-1-11
χ1511111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-111111111-1111-1-1-1-1111111-1-1-1-11-1-1-1111-1-11
χ1611111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-111111111-11-1-111-1-1111111-1-1-1-1-1111-1-1-111-1
χ17222222222222-2-2-2-2000000002222222-2-2-2-2-2-2000000000000220000-2-2-2-2000000000000000000
χ18222222222222-2-2-2-200000000-2-2-2-2222-2-2-2-2-2-2000000000000-2-200002222000000000000000000
χ1922222222-2-2-2-2-2-2-2-20000000022-2-22-2-22222-2-20000000000002-20000-2-222000000000000000000
χ2022222222-2-2-2-2-2-2-2-200000000-2-2222-2-22222-2-2000000000000-22000022-2-2000000000000000000
χ2122222-2-2200002222222222220000-2000000-2-2-2-2-2-200000000002222000000000000-2-200000000
χ2222222-2-2200002222222222220000-2000000-2-2-2-2-2-20000000000-2-2-2-20000000000002200000000
χ2322222-2-2200002222-2-2-2-2-2-2-2-20000-2000000-2-22222000000000022-2-2000000000000-2200000000
χ2422222-2-2200002222-2-2-2-2-2-2-2-20000-2000000-2-222220000000000-2-2220000000000002-200000000
χ252222-222-2222200002222−2−2−2−22222-2-2-200000022−2−22222−2−2−2−2-2-20000000022−2−222−2−20000000000
χ262222-222-2222200002222−2−2−2−2-2-2-2-2-2-2-200000022−2−22222−2−2−2−22200000000−2−222−2−2220000000000
χ272222-222-222220000−2−2−2−222222222-2-2-2000000−2−222−2−2−2−22222-2-200000000−2−222−2−2220000000000
χ282222-222-222220000−2−2−2−22222-2-2-2-2-2-2-2000000−2−222−2−2−2−22222220000000022−2−222−2−20000000000
χ292222-222-2-2-2-2-200002222−2−2−2−222-2-2-22200000022−2−2−2−2−2−22222-220000000022−2−2−2−2220000000000
χ302222-222-2-2-2-2-200002222−2−2−2−2-2-222-22200000022−2−2−2−2−2−222222-200000000−2−22222−2−20000000000
χ312222-222-2-2-2-2-20000−2−2−2−2222222-2-2-222000000−2−2222222−2−2−2−2-2200000000−2−22222−2−20000000000
χ322222-222-2-2-2-2-20000−2−2−2−22222-2-222-222000000−2−2222222−2−2−2−22-20000000022−2−2−2−2220000000000
χ3322-2-202-2022-2-22−22−2ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ52i−2i2i−2i00022−2−22−2ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5000000i2−i2i2−i2ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ70000000000
χ3422-2-202-2022-2-22−22−2ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−2i2i−2i2i00022−2−22−2ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5000000−i2i2−i2i2−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ70000000000
χ3522-2-202-2022-2-22−22−2−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ52i−2i2i−2i00022−2−22−2−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5000000i2−i2i2−i2−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ70000000000
χ3622-2-202-2022-2-22−22−2−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−2i2i−2i2i00022−2−22−2−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5000000−i2i2−i2i2ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ70000000000
χ3722-2-202-2022-2-2−22−22ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ72i−2i2i−2i000−2−222−22ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7000000−i2i2−i2i2ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ50000000000
χ3822-2-202-2022-2-2−22−22ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−2i2i−2i2i000−2−222−22ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7000000i2−i2i2−i2−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ50000000000
χ3922-2-202-2022-2-2−22−22−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ72i−2i2i−2i000−2−222−22−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7000000−i2i2−i2i2−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ50000000000
χ4022-2-202-2022-2-2−22−22−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−2i2i−2i2i000−2−222−22−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7000000i2−i2i2−i2ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ50000000000
χ4122-2-202-20-2-2222−22−2ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ52i−2i−2i2i000−2−2222−2ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5000000i2−i2−i2i2ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ70000000000
χ4222-2-202-20-2-2222−22−2ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−2i2i2i−2i000−2−2222−2ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5000000−i2i2i2−i2−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ70000000000
χ4322-2-202-20-2-2222−22−2−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ52i−2i−2i2i000−2−2222−2−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5000000i2−i2−i2i2−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ70000000000
χ4422-2-202-20-2-2222−22−2−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−2i2i2i−2i000−2−2222−2−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5000000−i2i2i2−i2ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ70000000000
χ4522-2-202-20-2-222−22−22ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ72i−2i−2i2i00022−2−2−22ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7000000−i2i2i2−i2ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ50000000000
χ4622-2-202-20-2-222−22−22ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−2i2i2i−2i00022−2−2−22ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7000000i2−i2−i2i2−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ50000000000
χ4722-2-202-20-2-222−22−22−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ72i−2i−2i2i00022−2−2−22−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7000000−i2i2i2−i2−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ50000000000
χ4822-2-202-20-2-222−22−22−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−2i2i2i−2i00022−2−2−22−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7000000i2−i2−i2i2ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ50000000000
χ492-22-2-20022−22−222-2-22i−2i2i−2i2i−2i2i−2i000002−22−22−2000000i2−i2i2−i2i2−i2i2−i2002i−2i2-200000000000000i2−i22−20000
χ502-22-2-20022−22−222-2-22i−2i2i−2i2i−2i2i−2i000002−22−22−2000000i2−i2i2−i2i2−i2i2−i200−2i2i-2200000000000000−i2i2−220000
χ512-22-2-20022−22−222-2-2−2i2i−2i2i−2i2i−2i2i000002−22−22−2000000−i2i2−i2i2−i2i2−i2i2002i−2i-2200000000000000i2−i2−220000
χ522-22-2-20022−22−222-2-2−2i2i−2i2i−2i2i−2i2i000002−22−22−2000000−i2i2−i2i2−i2i2−i2i200−2i2i2-200000000000000−i2i22−20000
χ532-22-2-2002−22−2222-2-22i−2i2i−2i2i−2i2i−2i00000−22−22−22000000−i2i2−i2i2−i2i2−i2i2002i−2i2-200000000000000−i2i2−220000
χ542-22-2-2002−22−2222-2-22i−2i2i−2i2i−2i2i−2i00000−22−22−22000000−i2i2−i2i2−i2i2−i2i200−2i2i-2200000000000000i2−i22−20000
χ552-22-2-2002−22−2222-2-2−2i2i−2i2i−2i2i−2i2i00000−22−22−22000000i2−i2i2−i2i2−i2i2−i2002i−2i-2200000000000000−i2i22−20000
χ562-22-2-2002−22−2222-2-2−2i2i−2i2i−2i2i−2i2i00000−22−22−22000000i2−i2i2−i2i2−i2i2−i200−2i2i2-200000000000000i2−i2−220000
χ5744444-4-440000-4-4-4-4000000000000-4000000440000000000000000000000000000000000000000
χ584444-4-4-4-40000000022222222−22−22−22−220000400000000−22−222222000000000000000000000000000000000000
χ594444-4-4-4-400000000−22−22−22−222222222200004000000002222−22−22000000000000000000000000000000000000
χ6044-4-40-440000022−2222−222ζ+2ζ72ζ+2ζ7−2ζ−2ζ7−2ζ−2ζ72ζ3+2ζ52ζ3+2ζ5−2ζ3−2ζ5−2ζ3−2ζ500000000000−2222−2ζ−2ζ72ζ+2ζ7−2ζ3−2ζ52ζ3+2ζ5000000000000000000000000000000000000
χ6144-4-40-440000022−2222−22−2ζ−2ζ7−2ζ−2ζ72ζ+2ζ72ζ+2ζ7−2ζ3−2ζ5−2ζ3−2ζ52ζ3+2ζ52ζ3+2ζ500000000000−22222ζ+2ζ7−2ζ−2ζ72ζ3+2ζ5−2ζ3−2ζ5000000000000000000000000000000000000
χ6244-4-40-4400000−2222−22222ζ3+2ζ52ζ3+2ζ5−2ζ3−2ζ5−2ζ3−2ζ5−2ζ−2ζ7−2ζ−2ζ72ζ+2ζ72ζ+2ζ70000000000022−22−2ζ3−2ζ52ζ3+2ζ52ζ+2ζ7−2ζ−2ζ7000000000000000000000000000000000000
χ6344-4-40-4400000−2222−2222−2ζ3−2ζ5−2ζ3−2ζ52ζ3+2ζ52ζ3+2ζ52ζ+2ζ72ζ+2ζ7−2ζ−2ζ7−2ζ−2ζ70000000000022−222ζ3+2ζ5−2ζ3−2ζ5−2ζ−2ζ72ζ+2ζ7000000000000000000000000000000000000
χ644-44-4400-422−2222−2200002i2−2i22i2−2i2−2i22i2−2i22i200000−222200000000002i−2i2i−2i−2i2i−2i2i0000000000000000000000000000
χ654-44-4400-422−2222−220000−2i22i2−2i22i22i2−2i22i2−2i200000−22220000000000−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000
χ664-44-4400-4−2222−222200002i2−2i22i2−2i2−2i22i2−2i22i20000022−220000000000−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000
χ674-44-4400-4−2222−22220000−2i22i2−2i22i22i2−2i22i2−2i20000022−2200000000002i−2i2i−2i−2i2i−2i2i0000000000000000000000000000
χ684-44-4-400422−2222−22-4-444000000000000022−22−2222−2222000000000000000000000000000000000000000000
χ694-44-4-4004−2222−2222-4-4440000000000000−222222−2222−22000000000000000000000000000000000000000000
χ704-4-44000022−22−222222−22−22222ζ3−2ζ5−2ζ3+2ζ5−2ζ3+2ζ52ζ3−2ζ52ζ−2ζ7−2ζ+2ζ7−2ζ+2ζ72ζ−2ζ700000002-2-22000000ζ−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−ζ70000000000000000000000000000
χ714-4-44000022−22−222222−22−2222−2ζ3+2ζ52ζ3−2ζ52ζ3−2ζ5−2ζ3+2ζ5−2ζ+2ζ72ζ−2ζ72ζ−2ζ7−2ζ+2ζ700000002-2-22000000−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+ζ70000000000000000000000000000
χ724-4-44000022−22−2222−222222−222ζ−2ζ7−2ζ+2ζ7−2ζ+2ζ72ζ−2ζ7−2ζ3+2ζ52ζ3−2ζ52ζ3−2ζ5−2ζ3+2ζ50000000-222-2000000ζ+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+ζ70000000000000000000000000000
χ734-4-44000022−22−2222−222222−22−2ζ+2ζ72ζ−2ζ72ζ−2ζ7−2ζ+2ζ72ζ3−2ζ5−2ζ3+2ζ5−2ζ3+2ζ52ζ3−2ζ50000000-222-2000000−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−ζ70000000000000000000000000000
χ744-4-440000−222222−2222−22−22222ζ3−2ζ5−2ζ3+2ζ5−2ζ3+2ζ52ζ3−2ζ52ζ−2ζ7−2ζ+2ζ7−2ζ+2ζ72ζ−2ζ70000000-222-2000000−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+ζ70000000000000000000000000000
χ754-4-440000−222222−2222−22−2222−2ζ3+2ζ52ζ3−2ζ52ζ3−2ζ5−2ζ3+2ζ5−2ζ+2ζ72ζ−2ζ72ζ−2ζ7−2ζ+2ζ70000000-222-2000000ζ−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−ζ70000000000000000000000000000
χ764-4-440000−222222−22−222222−222ζ−2ζ7−2ζ+2ζ7−2ζ+2ζ72ζ−2ζ7−2ζ3+2ζ52ζ3−2ζ52ζ3−2ζ5−2ζ3+2ζ500000002-2-22000000−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−ζ70000000000000000000000000000
χ774-4-440000−222222−22−222222−22−2ζ+2ζ72ζ−2ζ72ζ−2ζ7−2ζ+2ζ72ζ3−2ζ5−2ζ3+2ζ5−2ζ3+2ζ52ζ3−2ζ500000002-2-22000000ζ+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+ζ70000000000000000000000000000

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