Finite Group Databasebeta

← Group #93063

Character table — Group #93063

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size111111112222222222222222222222224444444444444444448888888888888888888888888888888832323232
order1222222244444444888888888888888844888888888888888816161616161616161616161616161616161616161616161616161616161616164444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-1
χ61111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-111
χ71111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-111
χ81111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11-1-1
χ91-1-1111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-111111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1i−ii−i
χ101-1-1111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-111111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111−ii−ii
χ111-1-1111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-111111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−ii−ii
χ121-1-1111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-111111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111i−ii−i
χ131-1-1111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-11-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−iii−i
χ141-1-1111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-11-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−ii−i−ii
χ151-1-1111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiii−i−ii
χ161-1-1111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−iii−i
χ1722222222222222222222-2-2-2-2-2-22222-2-22222-2-222-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000
χ182222222222222222-2-2-2-2222222-2-2-2-22222-2-222-2-222-2-2-2-2-2-2-2-2000000000000000000000000000000000000
χ192222222222-2-222-2-20000222222000022-2-200-2-200-2-20000000022−2−222−2−222−2−222−2−200000000000000000000
χ202222222222-2-222-2-20000222222000022-2-200-2-200-2-200000000−2−222−2−222−2−222−2−22200000000000000000000
χ212222222222-2-222-2-20000-2-2-2-2-2-20000-2-2-2-20022002200000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i200000000000000000000
χ222222222222-2-222-2-20000-2-2-2-2-2-20000-2-2-2-20022002200000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200000000000000000000
χ2322222222-2-222-2-2222222000000222200-2-2-2-200-2-20000000000000000000000000022−2−222−2−222−2−222−2−20000
χ2422222222-2-222-2-2222222000000222200-2-2-2-200-2-200000000000000000000000000−2−222−2−222−2−222−2−2220000
χ2522222222-2-222-2-222-2-2-2-2000000-2-2-2-200-2-222002200000000000000000000000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i20000
χ2622222222-2-222-2-222-2-2-2-2000000-2-2-2-200-2-222002200000000000000000000000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i20000
χ272222-2-2-2-22-2002-20022−2−22222-2-222−2−2-2-2002−2002−20022−2−222−2−2ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ500000000000000000000
χ282222-2-2-2-22-2002-20022−2−22222-2-222−2−2-2-2002−2002−20022−2−222−2−2−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ500000000000000000000
χ292222-2-2-2-22-2002-20022−2−2-2-2-2-22222−2−222002−2002−200−2−222−2−222ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ500000000000000000000
χ302222-2-2-2-22-2002-20022−2−2-2-2-2-22222−2−222002−2002−200−2−222−2−222−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ500000000000000000000
χ312222-2-2-2-22-2002-200−2−2222222-2-2−2−222-2-200−2200−2200−2−222−2−222ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ700000000000000000000
χ322222-2-2-2-22-2002-200−2−2222222-2-2−2−222-2-200−2200−2200−2−222−2−222−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ700000000000000000000
χ332222-2-2-2-22-2002-200−2−222-2-2-2-222−2−2222200−2200−220022−2−222−2−2ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ700000000000000000000
χ342222-2-2-2-22-2002-200−2−222-2-2-2-222−2−2222200−2200−220022−2−222−2−2−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ700000000000000000000
χ3522-2-22-22-2002-2002-22i−2i2i−2ii2−i2i2−i2i2−i22i−2i2i−2ii2−i20000i2−i200i2−i22−22−22−22−20000000000000000ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ7ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ−ζ3−ζ+ζ3ζ5+ζ7−ζ5−ζ7ζ−ζ3−ζ+ζ30000
χ3622-2-22-22-2002-2002-22i−2i2i−2ii2−i2i2−i2i2−i22i−2i2i−2ii2−i20000i2−i200i2−i22−22−22−22−20000000000000000−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ7−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ+ζ3ζ−ζ3−ζ5−ζ7ζ5+ζ7−ζ+ζ3ζ−ζ30000
χ3722-2-22-22-2002-2002-22i−2i2i−2i−i2i2−i2i2−i2i22i−2i2i−2i−i2i20000−i2i200−i2i2−22−22−22−220000000000000000ζ5−ζ7−ζ5+ζ7−ζ−ζ3ζ+ζ3ζ5−ζ7−ζ5+ζ7−ζ−ζ3ζ+ζ3−ζ+ζ3ζ−ζ3ζ5+ζ7−ζ5−ζ7−ζ+ζ3ζ−ζ3ζ5+ζ7−ζ5−ζ70000
χ3822-2-22-22-2002-2002-22i−2i2i−2i−i2i2−i2i2−i2i22i−2i2i−2i−i2i20000−i2i200−i2i2−22−22−22−220000000000000000−ζ5+ζ7ζ5−ζ7ζ+ζ3−ζ−ζ3−ζ5+ζ7ζ5−ζ7ζ+ζ3−ζ−ζ3ζ−ζ3−ζ+ζ3−ζ5−ζ7ζ5+ζ7ζ−ζ3−ζ+ζ3−ζ5−ζ7ζ5+ζ70000
χ3922-2-22-22-2002-2002-2−2i2i−2i2ii2−i2i2−i2i2−i2−2i2i−2i2ii2−i20000i2−i200i2−i2−22−22−22−220000000000000000ζ−ζ3−ζ+ζ3ζ5+ζ7−ζ5−ζ7ζ−ζ3−ζ+ζ3ζ5+ζ7−ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ7−ζ−ζ3ζ+ζ30000
χ4022-2-22-22-2002-2002-2−2i2i−2i2ii2−i2i2−i2i2−i2−2i2i−2i2ii2−i20000i2−i200i2−i2−22−22−22−220000000000000000−ζ+ζ3ζ−ζ3−ζ5−ζ7ζ5+ζ7−ζ+ζ3ζ−ζ3−ζ5−ζ7ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ7ζ+ζ3−ζ−ζ30000
χ4122-2-22-22-2002-2002-2−2i2i−2i2i−i2i2−i2i2−i2i2−2i2i−2i2i−i2i20000−i2i200−i2i22−22−22−22−20000000000000000ζ5+ζ7−ζ5−ζ7−ζ+ζ3ζ−ζ3ζ5+ζ7−ζ5−ζ7−ζ+ζ3ζ−ζ3ζ+ζ3−ζ−ζ3−ζ5+ζ7ζ5−ζ7ζ+ζ3−ζ−ζ3−ζ5+ζ7ζ5−ζ70000
χ4222-2-22-22-2002-2002-2−2i2i−2i2i−i2i2−i2i2−i2i2−2i2i−2i2i−i2i20000−i2i200−i2i22−22−22−22−20000000000000000−ζ5−ζ7ζ5+ζ7ζ−ζ3−ζ+ζ3−ζ5−ζ7ζ5+ζ7ζ−ζ3−ζ+ζ3−ζ−ζ3ζ+ζ3ζ5−ζ7−ζ5+ζ7−ζ−ζ3ζ+ζ3ζ5−ζ7−ζ5+ζ70000
χ432-22-22-2-2200-22002-22i−2i2i−2ii2−i2−i2i2−i2i2−2i2i−2i2ii2−i20000i2−i200−i2i22−22−2−22−220000000000000000ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ7−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ−ζ3−ζ+ζ3−ζ5−ζ7ζ5+ζ7−ζ+ζ3ζ−ζ30000
χ442-22-22-2-2200-22002-22i−2i2i−2ii2−i2−i2i2−i2i2−2i2i−2i2ii2−i20000i2−i200−i2i22−22−2−22−220000000000000000−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ7ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ+ζ3ζ−ζ3ζ5+ζ7−ζ5−ζ7ζ−ζ3−ζ+ζ30000
χ452-22-22-2-2200-22002-22i−2i2i−2i−i2i2i2−i2i2−i2−2i2i−2i2i−i2i20000−i2i200i2−i2−22−222−22−20000000000000000ζ5−ζ7−ζ5+ζ7−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ7ζ+ζ3−ζ−ζ3−ζ+ζ3ζ−ζ3ζ5+ζ7−ζ5−ζ7ζ−ζ3−ζ+ζ3−ζ5−ζ7ζ5+ζ70000
χ462-22-22-2-2200-22002-22i−2i2i−2i−i2i2i2−i2i2−i2−2i2i−2i2i−i2i20000−i2i200i2−i2−22−222−22−20000000000000000−ζ5+ζ7ζ5−ζ7ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ7−ζ−ζ3ζ+ζ3ζ−ζ3−ζ+ζ3−ζ5−ζ7ζ5+ζ7−ζ+ζ3ζ−ζ3ζ5+ζ7−ζ5−ζ70000
χ472-22-22-2-2200-22002-2−2i2i−2i2ii2−i2−i2i2−i2i22i−2i2i−2ii2−i20000i2−i200−i2i2−22−222−22−20000000000000000ζ−ζ3−ζ+ζ3ζ5+ζ7−ζ5−ζ7−ζ+ζ3ζ−ζ3−ζ5−ζ7ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ−ζ3ζ+ζ3ζ5−ζ7−ζ5+ζ7ζ+ζ3−ζ−ζ30000
χ482-22-22-2-2200-22002-2−2i2i−2i2ii2−i2−i2i2−i2i22i−2i2i−2ii2−i20000i2−i200−i2i2−22−222−22−20000000000000000−ζ+ζ3ζ−ζ3−ζ5−ζ7ζ5+ζ7ζ−ζ3−ζ+ζ3ζ5+ζ7−ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ+ζ3−ζ−ζ3−ζ5+ζ7ζ5−ζ7−ζ−ζ3ζ+ζ30000
χ492-22-22-2-2200-22002-2−2i2i−2i2i−i2i2i2−i2i2−i22i−2i2i−2i−i2i20000−i2i200i2−i22−22−2−22−220000000000000000ζ5+ζ7−ζ5−ζ7−ζ+ζ3ζ−ζ3−ζ5−ζ7ζ5+ζ7ζ−ζ3−ζ+ζ3ζ+ζ3−ζ−ζ3−ζ5+ζ7ζ5−ζ7−ζ−ζ3ζ+ζ3ζ5−ζ7−ζ5+ζ70000
χ502-22-22-2-2200-22002-2−2i2i−2i2i−i2i2i2−i2i2−i22i−2i2i−2i−i2i20000−i2i200i2−i22−22−2−22−220000000000000000−ζ5−ζ7ζ5+ζ7ζ−ζ3−ζ+ζ3ζ5+ζ7−ζ5−ζ7−ζ+ζ3ζ−ζ3−ζ−ζ3ζ+ζ3ζ5−ζ7−ζ5+ζ7ζ+ζ3−ζ−ζ3−ζ5+ζ7ζ5−ζ70000
χ512-2-2222-2-222-2-2-2-2222222000000-2-2-2-2002-2-2-200220000000000000000000000000022−2−2−2−22222−2−2−2−2220000
χ522-2-2222-2-222-2-2-2-2222222000000-2-2-2-2002-2-2-2002200000000000000000000000000−2−22222−2−2−2−22222−2−20000
χ532-2-2222-2-222-2-2-2-222-2-2-2-20000002222002-22200-2-200000000000000000000000000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i20000
χ542-2-2222-2-222-2-2-2-222-2-2-2-20000002222002-22200-2-200000000000000000000000000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i20000
χ552-2-2222-2-2-2-22222-2-2000022-2-2-2-20000222-200-2-2002200000000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i200000000000000000000
χ562-2-2222-2-2-2-22222-2-2000022-2-2-2-20000222-200-2-2002200000000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i200000000000000000000
χ572-2-2222-2-2-2-22222-2-20000-2-222220000-2-22-2002200-2-20000000022−2−2−2−222−2−22222−2−200000000000000000000
χ582-2-2222-2-2-2-22222-2-20000-2-222220000-2-22-2002200-2-200000000−2−22222−2−222−2−2−2−22200000000000000000000
χ592-2-2222-2-2-2-2-2-222222222-2-22222-2-2-2-2-2-2-2222-2-2-2-222-2-2-2-22222000000000000000000000000000000000000
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χ622-2-22-2-222-22002-20022−2−222-2-222−2−222-2-2002−200−220022−2−2−2−222−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ700000000000000000000
χ632-2-22-2-222-22002-20022−2−2-2-222-2-2−2−22222002−200−2200−2−22222−2−2ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ700000000000000000000
χ642-2-22-2-222-22002-20022−2−2-2-222-2-2−2−22222002−200−2200−2−22222−2−2−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ700000000000000000000
χ652-2-22-2-222-22002-200−2−22222-2-22222−2−2-2-200−22002−200−2−22222−2−2ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ500000000000000000000
χ662-2-22-2-222-22002-200−2−22222-2-22222−2−2-2-200−22002−200−2−22222−2−2−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ500000000000000000000
χ672-2-22-2-222-22002-200−2−222-2-222-2-222−2−22200−22002−20022−2−2−2−222ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ500000000000000000000
χ682-2-22-2-222-22002-200−2−222-2-222-2-222−2−22200−22002−20022−2−2−2−222−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ500000000000000000000
χ6944444444-4-4-4-4-4-4-4-40000000000000000440000000000000000000000000000000000000000000000000000
χ704444-4-4-4-4-4400-44002222−22−220000002222−22−220000−222200−22220000000000000000000000000000000000000000000000
χ714444-4-4-4-4-4400-4400−22−222222000000−22−222222000022−220022−220000000000000000000000000000000000000000000000
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χ7644-4-4-44-4400000000−2i22i22i2−2i22i2−2i22i2−2i2−2i22i2−2i22i22i2−2i2−2i22i20000000000-222-2-222-2000000000000000000000000000000000000
χ7744-4-4-44-4400000000−2i22i22i2−2i2−2i22i2−2i22i22i2−2i2−2i22i22i2−2i22i2−2i200000000002-2-222-2-22000000000000000000000000000000000000
χ784-44-44-4-44004-400-4400002i2−2i2−2i22i2−2i22i200002i2−2i20000−2i22i2002i2−2i200000000000000000000000000000000000000000000
χ794-44-44-4-44004-400-440000−2i22i22i2−2i22i2−2i20000−2i22i200002i2−2i200−2i22i200000000000000000000000000000000000000000000
χ804-44-4-444-4000000002i2−2i2−2i22i22i2−2i2−2i22i22i2−2i2−2i22i22i2−2i2−2i22i200000000002-2-22-222-2000000000000000000000000000000000000
χ814-44-4-444-4000000002i2−2i2−2i22i2−2i22i22i2−2i2−2i22i2−2i22i22i2−2i22i2−2i20000000000-222-22-2-22000000000000000000000000000000000000
χ824-44-4-444-400000000−2i22i22i2−2i22i2−2i2−2i22i22i2−2i22i2−2i2−2i22i2−2i22i20000000000-222-22-2-22000000000000000000000000000000000000
χ834-44-4-444-400000000−2i22i22i2−2i2−2i22i22i2−2i2−2i22i22i2−2i2−2i22i22i2−2i200000000002-2-22-222-2000000000000000000000000000000000000
χ844-4-4444-4-44444-4-4-4-40000000000000000-440000000000000000000000000000000000000000000000000000
χ854-4-44-4-4444-400-44002222−22−22000000−22−2222220000−22220022−220000000000000000000000000000000000000000000000
χ864-4-44-4-4444-400-4400−22−2222220000002222−22−22000022−2200−22220000000000000000000000000000000000000000000000

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