Finite Group Databasebeta

← Group #93069

Character table — Group #93069

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size111111112222222222222222222222224444444444444444448888888888888888888888888888888832323232
order1222444422444444888888888888888844888888888888888816161616161616161616161616161616161616161616161616161616161616168888
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
χ91111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-111111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1i−ii−i
χ101111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-111111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111−ii−ii
χ111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-111111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−ii−ii
χ121111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-111111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111i−ii−i
χ131111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-11-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−iii−i
χ141111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-11-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−ii−i−ii
χ151111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiii−i−ii
χ161111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1−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
χ272222-2-2-2-222-2-2-2-2222222000000-2-2-2-2002-2-2-200220000000000000000000000000022−2−2−2−22222−2−2−2−2220000
χ282222-2-2-2-222-2-2-2-2222222000000-2-2-2-2002-2-2-2002200000000000000000000000000−2−22222−2−2−2−22222−2−20000
χ292222-2-2-2-222-2-2-2-222-2-2-2-20000002222002-22200-2-200000000000000000000000000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i20000
χ302222-2-2-2-222-2-2-2-222-2-2-2-20000002222002-22200-2-200000000000000000000000000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i20000
χ312222-2-2-2-2-2-22222-2-2000022-2-2-2-20000222-200-2-2002200000000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i200000000000000000000
χ322222-2-2-2-2-2-22222-2-2000022-2-2-2-20000222-200-2-2002200000000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i200000000000000000000
χ332222-2-2-2-2-2-22222-2-20000-2-222220000-2-22-2002200-2-20000000022−2−2−2−222−2−22222−2−200000000000000000000
χ342222-2-2-2-2-2-22222-2-20000-2-222220000-2-22-2002200-2-200000000−2−22222−2−222−2−2−2−22200000000000000000000
χ352222-2-2-2-2-2-2-2-222222222-2-22222-2-2-2-2-2-2-2222-2-2-2-222-2-2-2-22222000000000000000000000000000000000000
χ362222-2-2-2-2-2-2-2-22222-2-2-2-222-2-2-2-2222222-22-2-22222-2-2-2-2-2-22222000000000000000000000000000000000000
χ3722-2-222-2-22-2002-20022−2−22222-2-222−2−2-2-2002−2002−20022−2−222−2−2ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ500000000000000000000
χ3822-2-222-2-22-2002-20022−2−22222-2-222−2−2-2-2002−2002−20022−2−222−2−2−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ500000000000000000000
χ3922-2-222-2-22-2002-20022−2−2-2-2-2-22222−2−222002−2002−200−2−222−2−222ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ500000000000000000000
χ4022-2-222-2-22-2002-20022−2−2-2-2-2-22222−2−222002−2002−200−2−222−2−222−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ500000000000000000000
χ4122-2-222-2-22-2002-200−2−2222222-2-2−2−222-2-200−2200−2200−2−222−2−222ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ700000000000000000000
χ4222-2-222-2-22-2002-200−2−2222222-2-2−2−222-2-200−2200−2200−2−222−2−222−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ700000000000000000000
χ4322-2-222-2-22-2002-200−2−222-2-2-2-222−2−2222200−2200−220022−2−222−2−2ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ700000000000000000000
χ4422-2-222-2-22-2002-200−2−222-2-2-2-222−2−2222200−2200−220022−2−222−2−2−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ700000000000000000000
χ4522-2-2-2-222-22002-20022−2−222-2-222−2−222-2-2002−200−220022−2−2−2−222ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ700000000000000000000
χ4622-2-2-2-222-22002-20022−2−222-2-222−2−222-2-2002−200−220022−2−2−2−222−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ700000000000000000000
χ4722-2-2-2-222-22002-20022−2−2-2-222-2-2−2−22222002−200−2200−2−22222−2−2ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ700000000000000000000
χ4822-2-2-2-222-22002-20022−2−2-2-222-2-2−2−22222002−200−2200−2−22222−2−2−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ700000000000000000000
χ4922-2-2-2-222-22002-200−2−22222-2-22222−2−2-2-200−22002−200−2−22222−2−2ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ500000000000000000000
χ5022-2-2-2-222-22002-200−2−22222-2-22222−2−2-2-200−22002−200−2−22222−2−2−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ500000000000000000000
χ5122-2-2-2-222-22002-200−2−222-2-222-2-222−2−22200−22002−20022−2−2−2−222ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ500000000000000000000
χ5222-2-2-2-222-22002-200−2−222-2-222-2-222−2−22200−22002−20022−2−2−2−222−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ500000000000000000000
χ532-22-22i−2i2i−2i002i−2i002-22-22-22−2i2−i2i2−i22i−2i2i−2i2−200002−200i2−i22−22−2i2−i2i2−i20000000000000000ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ70000
χ542-22-22i−2i2i−2i002i−2i002-22-22-22−2i2−i2i2−i22i−2i2i−2i2−200002−200i2−i22−22−2i2−i2i2−i20000000000000000−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ70000
χ552-22-22i−2i2i−2i002i−2i002-22-22-2−22−i2i2−i2i22i−2i2i−2i−220000−2200−i2i2−22−22−i2i2−i2i20000000000000000ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ50000
χ562-22-22i−2i2i−2i002i−2i002-22-22-2−22−i2i2−i2i22i−2i2i−2i−220000−2200−i2i2−22−22−i2i2−i2i20000000000000000−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ50000
χ572-22-22i−2i2i−2i002i−2i002-2-22-222−2i2−i2i2−i2−2i2i−2i2i2−200002−200i2−i2−22−22−i2i2−i2i20000000000000000ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ70000
χ582-22-22i−2i2i−2i002i−2i002-2-22-222−2i2−i2i2−i2−2i2i−2i2i2−200002−200i2−i2−22−22−i2i2−i2i20000000000000000−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ70000
χ592-22-22i−2i2i−2i002i−2i002-2-22-22−22−i2i2−i2i2−2i2i−2i2i−220000−2200−i2i22−22−2i2−i2i2−i20000000000000000ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ50000
χ602-22-22i−2i2i−2i002i−2i002-2-22-22−22−i2i2−i2i2−2i2i−2i2i−220000−2200−i2i22−22−2i2−i2i2−i20000000000000000−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ50000
χ612-22-2−2i2i−2i2i00−2i2i002-22-22-22−2−i2i2−i2i2−2i2i−2i2i2−200002−200−i2i22−22−2−i2i2−i2i20000000000000000ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ70000
χ622-22-2−2i2i−2i2i00−2i2i002-22-22-22−2−i2i2−i2i2−2i2i−2i2i2−200002−200−i2i22−22−2−i2i2−i2i20000000000000000−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ70000
χ632-22-2−2i2i−2i2i00−2i2i002-22-22-2−22i2−i2i2−i2−2i2i−2i2i−220000−2200i2−i2−22−22i2−i2i2−i20000000000000000ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ50000
χ642-22-2−2i2i−2i2i00−2i2i002-22-22-2−22i2−i2i2−i2−2i2i−2i2i−220000−2200i2−i2−22−22i2−i2i2−i20000000000000000−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ50000
χ652-22-2−2i2i−2i2i00−2i2i002-2-22-222−2−i2i2−i2i22i−2i2i−2i2−200002−200−i2i2−22−22i2−i2i2−i20000000000000000ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ70000
χ662-22-2−2i2i−2i2i00−2i2i002-2-22-222−2−i2i2−i2i22i−2i2i−2i2−200002−200−i2i2−22−22i2−i2i2−i20000000000000000−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ70000
χ672-22-2−2i2i−2i2i00−2i2i002-2-22-22−22i2−i2i2−i22i−2i2i−2i−220000−2200i2−i22−22−2−i2i2−i2i20000000000000000ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ50000
χ682-22-2−2i2i−2i2i00−2i2i002-2-22-22−22i2−i2i2−i22i−2i2i−2i−220000−2200i2−i22−22−2−i2i2−i2i20000000000000000−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ50000
χ6944444444-4-4-4-4-4-4-4-40000000000000000440000000000000000000000000000000000000000000000000000
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χ7144-4-444-4-4-4400-44002222−22−220000002222−22−220000−222200−22220000000000000000000000000000000000000000000000
χ7244-4-444-4-4-4400-4400−22−222222000000−22−222222000022−220022−220000000000000000000000000000000000000000000000
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χ7444-4-4-4-4444-400-4400−22−2222220000002222−22−22000022−2200−22220000000000000000000000000000000000000000000000
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χ784-44-4−4i4i−4i4i004i−4i00-440000−22222i2−2i22i2−2i20000−2222000022−2200−2i22i200000000000000000000000000000000000000000000
χ794-4-444i−4i−4i4i0000000022−22−222222−222i2−2i2−2i22i22i2−2i2−2i22i2−222200000000002-2-222i−2i−2i2i000000000000000000000000000000000000
χ804-4-444i−4i−4i4i0000000022−22−2222−2222−2i22i22i2−2i22i2−2i2−2i22i222−220000000000-222-2−2i2i2i−2i000000000000000000000000000000000000
χ814-4-444i−4i−4i4i00000000−222222−2222−222i2−2i2−2i22i2−2i22i22i2−2i2−22220000000000-222-2−2i2i2i−2i000000000000000000000000000000000000
χ824-4-444i−4i−4i4i00000000−222222−22−2222−2i22i22i2−2i2−2i22i22i2−2i222−2200000000002-2-222i−2i−2i2i000000000000000000000000000000000000
χ834-4-44−4i4i4i−4i0000000022−22−222222−22−2i22i22i2−2i2−2i22i22i2−2i2−222200000000002-2-22−2i2i2i−2i000000000000000000000000000000000000
χ844-4-44−4i4i4i−4i0000000022−22−2222−22222i2−2i2−2i22i2−2i22i22i2−2i222−220000000000-222-22i−2i−2i2i000000000000000000000000000000000000
χ854-4-44−4i4i4i−4i00000000−222222−2222−22−2i22i22i2−2i22i2−2i2−2i22i2−22220000000000-222-22i−2i−2i2i000000000000000000000000000000000000
χ864-4-44−4i4i4i−4i00000000−222222−22−22222i2−2i2−2i22i22i2−2i2−2i22i222−2200000000002-2-22−2i2i2i−2i000000000000000000000000000000000000

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