Finite Group Databasebeta

← Group #93067

Character table — Group #93067

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size111111112222222222222222222222224444444444444444448888888888888888888888888888888832323232
order1222444444444444888888888888888824888888888888888816161616161616161616161616161616161616161616161616161616161616168888
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
χ91111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−ii−ii−i
χ101111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−ii−ii
χ111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−ii−ii
χ121111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiii−ii−i
χ131111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-11-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111−iii−i
χ141111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-11-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1i−i−ii
χ151111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-11-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111i−i−ii
χ161111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-11-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1−iii−i
χ1722222222222222222222-2-2-2-2-2-2-2-222222222-2-222-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000
χ182222222222222222-2-2-2-222222222-2-2-2-222-2-222-2-222-2-2-2-2-2-2-2-2000000000000000000000000000000000000
χ192222222222-2-222-2-20000222222220000-2-200-2-200-2-200000000000000000000000022−2−222−2−222−2−222−2−20000
χ202222222222-2-222-2-20000222222220000-2-200-2-200-2-2000000000000000000000000−2−222−2−222−2−222−2−2220000
χ212222222222-2-222-2-20000-2-2-2-2-2-2-2-20000-2-200220022000000000000000000000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i20000
χ222222222222-2-222-2-20000-2-2-2-2-2-2-2-20000-2-200220022000000000000000000000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i20000
χ2322222222-2-222-2-2222222000000002222-2-2-2-200-2-2000000000022−2−222−2−222−2−222−2−200000000000000000000
χ2422222222-2-222-2-2222222000000002222-2-2-2-200-2-20000000000−2−222−2−222−2−222−2−22200000000000000000000
χ2522222222-2-222-2-222-2-2-2-200000000-2-2-2-2-2-22200220000000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i200000000000000000000
χ2622222222-2-222-2-222-2-2-2-200000000-2-2-2-2-2-22200220000000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200000000000000000000
χ272222-2-2-2-222-2-2-2-222222200000000-2-2-2-22-2-2-20022000000000022−2−2−2−22222−2−2−2−22200000000000000000000
χ282222-2-2-2-222-2-2-2-222222200000000-2-2-2-22-2-2-200220000000000−2−22222−2−2−2−22222−2−200000000000000000000
χ292222-2-2-2-222-2-2-2-222-2-2-2-20000000022222-22200-2-20000000000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i200000000000000000000
χ302222-2-2-2-222-2-2-2-222-2-2-2-20000000022222-22200-2-20000000000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i200000000000000000000
χ312222-2-2-2-2-2-22222-2-200002222-2-2-2-200002-2002200-2-200000000000000000000000022−2−2−2−222−2−22222−2−20000
χ322222-2-2-2-2-2-22222-2-200002222-2-2-2-200002-2002200-2-2000000000000000000000000−2−22222−2−222−2−2−2−2220000
χ332222-2-2-2-2-2-22222-2-20000-2-2-2-2222200002-200-2-20022000000000000000000000000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i20000
χ342222-2-2-2-2-2-22222-2-20000-2-2-2-2222200002-200-2-20022000000000000000000000000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i20000
χ352222-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2222-2-2-2-222-2-2-2-22222000000000000000000000000000000000000
χ362222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222222222-22-2-22222-2-2-2-2-2-22222000000000000000000000000000000000000
χ3722-2-22i2i−2i−2i002i−2i002-22i2i−2i−2i22−2−2i2i2−i2−i222-2-20000i2−i2002−222−2−2i2i2−i2−i2ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ−ζ3−ζ+ζ3ζ5+ζ7−ζ5−ζ7ζ−ζ3−ζ+ζ3ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ700000000000000000000
χ3822-2-22i2i−2i−2i002i−2i002-22i2i−2i−2i22−2−2i2i2−i2−i222-2-20000i2−i2002−222−2−2i2i2−i2−i2−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ+ζ3ζ−ζ3−ζ5−ζ7ζ5+ζ7−ζ+ζ3ζ−ζ3−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ700000000000000000000
χ3922-2-22i2i−2i−2i002i−2i002-22i2i−2i−2i−2−222−i2−i2i2i222-2-20000−i2i200−22−2−222−i2−i2i2i2ζ5−ζ7−ζ5+ζ7−ζ−ζ3ζ+ζ3−ζ+ζ3ζ−ζ3ζ5+ζ7−ζ5−ζ7−ζ+ζ3ζ−ζ3ζ5+ζ7−ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ−ζ3ζ+ζ300000000000000000000
χ4022-2-22i2i−2i−2i002i−2i002-22i2i−2i−2i−2−222−i2−i2i2i222-2-20000−i2i200−22−2−222−i2−i2i2i2−ζ5+ζ7ζ5−ζ7ζ+ζ3−ζ−ζ3ζ−ζ3−ζ+ζ3−ζ5−ζ7ζ5+ζ7ζ−ζ3−ζ+ζ3−ζ5−ζ7ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ+ζ3−ζ−ζ300000000000000000000
χ4122-2-22i2i−2i−2i002i−2i002-2−2i−2i2i2i22−2−2i2i2−i2−i2-2-2220000i2−i2002−2−2−222−i2−i2i2i2ζ−ζ3−ζ+ζ3ζ5+ζ7−ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ+ζ3−ζ−ζ3−ζ5+ζ7ζ5−ζ7−ζ−ζ3ζ+ζ3−ζ+ζ3ζ−ζ3−ζ5−ζ7ζ5+ζ700000000000000000000
χ4222-2-22i2i−2i−2i002i−2i002-2−2i−2i2i2i22−2−2i2i2−i2−i2-2-2220000i2−i2002−2−2−222−i2−i2i2i2−ζ+ζ3ζ−ζ3−ζ5−ζ7ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ−ζ3ζ+ζ3ζ5−ζ7−ζ5+ζ7ζ+ζ3−ζ−ζ3ζ−ζ3−ζ+ζ3ζ5+ζ7−ζ5−ζ700000000000000000000
χ4322-2-22i2i−2i−2i002i−2i002-2−2i−2i2i2i−2−222−i2−i2i2i2-2-2220000−i2i200−2222−2−2i2i2−i2−i2ζ5+ζ7−ζ5−ζ7−ζ+ζ3ζ−ζ3−ζ−ζ3ζ+ζ3ζ5−ζ7−ζ5+ζ7ζ+ζ3−ζ−ζ3−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ−ζ3−ζ+ζ300000000000000000000
χ4422-2-22i2i−2i−2i002i−2i002-2−2i−2i2i2i−2−222−i2−i2i2i2-2-2220000−i2i200−2222−2−2i2i2−i2−i2−ζ5−ζ7ζ5+ζ7ζ−ζ3−ζ+ζ3ζ+ζ3−ζ−ζ3−ζ5+ζ7ζ5−ζ7−ζ−ζ3ζ+ζ3ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ+ζ3ζ−ζ300000000000000000000
χ4522-2-2−2i−2i2i2i00−2i2i002-22i2i−2i−2i22−2−2−i2−i2i2i2-2-2220000−i2i2002−2−2−222i2i2−i2−i2ζ5−ζ7−ζ5+ζ7−ζ−ζ3ζ+ζ3ζ−ζ3−ζ+ζ3−ζ5−ζ7ζ5+ζ7−ζ+ζ3ζ−ζ3ζ5+ζ7−ζ5−ζ7−ζ5+ζ7ζ5−ζ7ζ+ζ3−ζ−ζ300000000000000000000
χ4622-2-2−2i−2i2i2i00−2i2i002-22i2i−2i−2i22−2−2−i2−i2i2i2-2-2220000−i2i2002−2−2−222i2i2−i2−i2−ζ5+ζ7ζ5−ζ7ζ+ζ3−ζ−ζ3−ζ+ζ3ζ−ζ3ζ5+ζ7−ζ5−ζ7ζ−ζ3−ζ+ζ3−ζ5−ζ7ζ5+ζ7ζ5−ζ7−ζ5+ζ7−ζ−ζ3ζ+ζ300000000000000000000
χ4722-2-2−2i−2i2i2i00−2i2i002-22i2i−2i−2i−2−222i2i2−i2−i2-2-2220000i2−i200−2222−2−2−i2−i2i2i2ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ+ζ3ζ−ζ3ζ5+ζ7−ζ5−ζ7ζ−ζ3−ζ+ζ3−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ700000000000000000000
χ4822-2-2−2i−2i2i2i00−2i2i002-22i2i−2i−2i−2−222i2i2−i2−i2-2-2220000i2−i200−2222−2−2−i2−i2i2i2−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ−ζ3−ζ+ζ3−ζ5−ζ7ζ5+ζ7−ζ+ζ3ζ−ζ3ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ700000000000000000000
χ4922-2-2−2i−2i2i2i00−2i2i002-2−2i−2i2i2i22−2−2−i2−i2i2i222-2-20000−i2i2002−222−2−2−i2−i2i2i2ζ5+ζ7−ζ5−ζ7−ζ+ζ3ζ−ζ3ζ+ζ3−ζ−ζ3−ζ5+ζ7ζ5−ζ7ζ+ζ3−ζ−ζ3−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7−ζ+ζ3ζ−ζ300000000000000000000
χ5022-2-2−2i−2i2i2i00−2i2i002-2−2i−2i2i2i22−2−2−i2−i2i2i222-2-20000−i2i2002−222−2−2−i2−i2i2i2−ζ5−ζ7ζ5+ζ7ζ−ζ3−ζ+ζ3−ζ−ζ3ζ+ζ3ζ5−ζ7−ζ5+ζ7−ζ−ζ3ζ+ζ3ζ5−ζ7−ζ5+ζ7−ζ5−ζ7ζ5+ζ7ζ−ζ3−ζ+ζ300000000000000000000
χ5122-2-2−2i−2i2i2i00−2i2i002-2−2i−2i2i2i−2−222i2i2−i2−i222-2-20000i2−i200−22−2−222i2i2−i2−i2ζ−ζ3−ζ+ζ3ζ5+ζ7−ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ7−ζ−ζ3ζ+ζ3ζ−ζ3−ζ+ζ3ζ5+ζ7−ζ5−ζ700000000000000000000
χ5222-2-2−2i−2i2i2i00−2i2i002-2−2i−2i2i2i−2−222i2i2−i2−i222-2-20000i2−i200−22−2−222i2i2−i2−i2−ζ+ζ3ζ−ζ3−ζ5−ζ7ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ7ζ+ζ3−ζ−ζ3−ζ+ζ3ζ−ζ3−ζ5−ζ7ζ5+ζ700000000000000000000
χ532-22-22i−2i2i−2i2i−2i002-2002−22−22i−2i2i−2i2-22-2i2−i2i2−i2002−200i2−i2002−22−2i2−i2i2−i20000000000000000ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ−ζ3−ζ+ζ3ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ−ζ3−ζ+ζ30000
χ542-22-22i−2i2i−2i2i−2i002-2002−22−22i−2i2i−2i2-22-2i2−i2i2−i2002−200i2−i2002−22−2i2−i2i2−i20000000000000000−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ+ζ3ζ−ζ3−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ+ζ3ζ−ζ30000
χ552-22-22i−2i2i−2i2i−2i002-2002−22−2−2i2i−2i2i-22-22i2−i2i2−i2002−200i2−i200−22−22−i2i2−i2i20000000000000000ζ−ζ3−ζ+ζ3ζ5+ζ7−ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ+ζ3−ζ−ζ3−ζ+ζ3ζ−ζ3−ζ5−ζ7ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ−ζ3ζ+ζ30000
χ562-22-22i−2i2i−2i2i−2i002-2002−22−2−2i2i−2i2i-22-22i2−i2i2−i2002−200i2−i200−22−22−i2i2−i2i20000000000000000−ζ+ζ3ζ−ζ3−ζ5−ζ7ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ−ζ3ζ+ζ3ζ−ζ3−ζ+ζ3ζ5+ζ7−ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ+ζ3−ζ−ζ30000
χ572-22-22i−2i2i−2i2i−2i002-200−22−222i−2i2i−2i2-22-2−i2i2−i2i200−2200−i2i200−22−22−i2i2−i2i20000000000000000ζ5−ζ7−ζ5+ζ7−ζ−ζ3ζ+ζ3−ζ+ζ3ζ−ζ3ζ5+ζ7−ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ−ζ3ζ+ζ3−ζ+ζ3ζ−ζ3ζ5+ζ7−ζ5−ζ70000
χ582-22-22i−2i2i−2i2i−2i002-200−22−222i−2i2i−2i2-22-2−i2i2−i2i200−2200−i2i200−22−22−i2i2−i2i20000000000000000−ζ5+ζ7ζ5−ζ7ζ+ζ3−ζ−ζ3ζ−ζ3−ζ+ζ3−ζ5−ζ7ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ+ζ3−ζ−ζ3ζ−ζ3−ζ+ζ3−ζ5−ζ7ζ5+ζ70000
χ592-22-22i−2i2i−2i2i−2i002-200−22−22−2i2i−2i2i-22-22−i2i2−i2i200−2200−i2i2002−22−2i2−i2i2−i20000000000000000ζ5+ζ7−ζ5−ζ7−ζ+ζ3ζ−ζ3−ζ−ζ3ζ+ζ3ζ5−ζ7−ζ5+ζ7−ζ5−ζ7ζ5+ζ7ζ−ζ3−ζ+ζ3ζ+ζ3−ζ−ζ3−ζ5+ζ7ζ5−ζ70000
χ602-22-22i−2i2i−2i2i−2i002-200−22−22−2i2i−2i2i-22-22−i2i2−i2i200−2200−i2i2002−22−2i2−i2i2−i20000000000000000−ζ5−ζ7ζ5+ζ7ζ−ζ3−ζ+ζ3ζ+ζ3−ζ−ζ3−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7−ζ+ζ3ζ−ζ3−ζ−ζ3ζ+ζ3ζ5−ζ7−ζ5+ζ70000
χ612-22-2−2i2i−2i2i−2i2i002-2002−22−22i−2i2i−2i-22-22−i2i2−i2i2002−200−i2i200−22−22i2−i2i2−i20000000000000000ζ5−ζ7−ζ5+ζ7−ζ−ζ3ζ+ζ3ζ−ζ3−ζ+ζ3−ζ5−ζ7ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ+ζ3−ζ−ζ3−ζ+ζ3ζ−ζ3ζ5+ζ7−ζ5−ζ70000
χ622-22-2−2i2i−2i2i−2i2i002-2002−22−22i−2i2i−2i-22-22−i2i2−i2i2002−200−i2i200−22−22i2−i2i2−i20000000000000000−ζ5+ζ7ζ5−ζ7ζ+ζ3−ζ−ζ3−ζ+ζ3ζ−ζ3ζ5+ζ7−ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ−ζ3ζ+ζ3ζ−ζ3−ζ+ζ3−ζ5−ζ7ζ5+ζ70000
χ632-22-2−2i2i−2i2i−2i2i002-2002−22−2−2i2i−2i2i2-22-2−i2i2−i2i2002−200−i2i2002−22−2−i2i2−i2i20000000000000000ζ5+ζ7−ζ5−ζ7−ζ+ζ3ζ−ζ3ζ+ζ3−ζ−ζ3−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7−ζ+ζ3ζ−ζ3ζ+ζ3−ζ−ζ3−ζ5+ζ7ζ5−ζ70000
χ642-22-2−2i2i−2i2i−2i2i002-2002−22−2−2i2i−2i2i2-22-2−i2i2−i2i2002−200−i2i2002−22−2−i2i2−i2i20000000000000000−ζ5−ζ7ζ5+ζ7ζ−ζ3−ζ+ζ3−ζ−ζ3ζ+ζ3ζ5−ζ7−ζ5+ζ7−ζ5−ζ7ζ5+ζ7ζ−ζ3−ζ+ζ3−ζ−ζ3ζ+ζ3ζ5−ζ7−ζ5+ζ70000
χ652-22-2−2i2i−2i2i−2i2i002-200−22−222i−2i2i−2i-22-22i2−i2i2−i200−2200i2−i2002−22−2−i2i2−i2i20000000000000000ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ+ζ3ζ−ζ3−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ−ζ3−ζ+ζ30000
χ662-22-2−2i2i−2i2i−2i2i002-200−22−222i−2i2i−2i-22-22i2−i2i2−i200−2200i2−i2002−22−2−i2i2−i2i20000000000000000−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ−ζ3−ζ+ζ3ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ+ζ3ζ−ζ30000
χ672-22-2−2i2i−2i2i−2i2i002-200−22−22−2i2i−2i2i2-22-2i2−i2i2−i200−2200i2−i200−22−22i2−i2i2−i20000000000000000ζ−ζ3−ζ+ζ3ζ5+ζ7−ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ−ζ3ζ+ζ3ζ−ζ3−ζ+ζ3ζ5+ζ7−ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ−ζ3ζ+ζ30000
χ682-22-2−2i2i−2i2i−2i2i002-200−22−22−2i2i−2i2i2-22-2i2−i2i2−i200−2200i2−i200−22−22i2−i2i2−i20000000000000000−ζ+ζ3ζ−ζ3−ζ5−ζ7ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ+ζ3−ζ−ζ3−ζ+ζ3ζ−ζ3−ζ5−ζ7ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ+ζ3−ζ−ζ30000
χ6944444444-4-4-4-4-4-4-4-40000000000000000440000000000000000000000000000000000000000000000000000
χ704444-4-4-4-44444-4-4-4-40000000000000000-440000000000000000000000000000000000000000000000000000
χ7144-4-44i4i−4i−4i00−4i4i00-4400002222−22−222i22i2−2i2−2i200000000−2i22i200−222200000000000000000000000000000000000000000000
χ7244-4-44i4i−4i−4i00−4i4i00-440000−22−222222−2i2−2i22i22i2000000002i2−2i20022−2200000000000000000000000000000000000000000000
χ7344-4-4−4i−4i4i4i004i−4i00-4400002222−22−22−2i2−2i22i22i2000000002i2−2i200−222200000000000000000000000000000000000000000000
χ7444-4-4−4i−4i4i4i004i−4i00-440000−22−2222222i22i2−2i2−2i200000000−2i22i20022−2200000000000000000000000000000000000000000000
χ754-44-44i−4i4i−4i−4i4i00-440022−2222−22000000002i2−2i22i2−2i200−222200−2i22i20000000000000000000000000000000000000000000000
χ764-44-44i−4i4i−4i−4i4i00-4400−2222−222200000000−2i22i2−2i22i20022−22002i2−2i20000000000000000000000000000000000000000000000
χ774-44-4−4i4i−4i4i4i−4i00-440022−2222−2200000000−2i22i2−2i22i200−2222002i2−2i20000000000000000000000000000000000000000000000
χ784-44-4−4i4i−4i4i4i−4i00-4400−2222−2222000000002i2−2i22i2−2i20022−2200−2i22i20000000000000000000000000000000000000000000000
χ794-4-444-4-44000000002i2−2i2−2i22i22i2−2i2−2i22i2−2i22i22i2−2i2−2i22i22i2−2i20000000000-222-2-222-2000000000000000000000000000000000000
χ804-4-444-4-44000000002i2−2i2−2i22i2−2i22i22i2−2i22i2−2i2−2i22i2−2i22i22i2−2i200000000002-2-222-2-22000000000000000000000000000000000000
χ814-4-444-4-4400000000−2i22i22i2−2i22i2−2i2−2i22i2−2i22i22i2−2i22i2−2i2−2i22i200000000002-2-222-2-22000000000000000000000000000000000000
χ824-4-444-4-4400000000−2i22i22i2−2i2−2i22i22i2−2i22i2−2i2−2i22i22i2−2i2−2i22i20000000000-222-2-222-2000000000000000000000000000000000000
χ834-4-44-444-4000000002i2−2i2−2i22i22i2−2i2−2i22i22i2−2i2−2i22i22i2−2i2−2i22i200000000002-2-22-222-2000000000000000000000000000000000000
χ844-4-44-444-4000000002i2−2i2−2i22i2−2i22i22i2−2i2−2i22i22i2−2i22i2−2i2−2i22i20000000000-222-22-2-22000000000000000000000000000000000000
χ854-4-44-444-400000000−2i22i22i2−2i22i2−2i2−2i22i22i2−2i2−2i22i2−2i22i22i2−2i20000000000-222-22-2-22000000000000000000000000000000000000
χ864-4-44-444-400000000−2i22i22i2−2i2−2i22i22i2−2i2−2i22i22i2−2i2−2i22i22i2−2i200000000002-2-22-222-2000000000000000000000000000000000000

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