Finite Group Databasebeta

← Group #513019

Character table — Group #513019

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11112222222222222222224444444444444444444444444488888888888888161616161616161632323232
order122244444488881616161616161616244488161616163232323232323232323232323232323288161616163232323232323232224444442444
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1
χ61111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11
χ71111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11-1-11
χ81111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-111-1
χ91111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-11111-1-1-1-111-1-111-1-111-1-1
χ101111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-11111-1-1-1-1-1-111-1-111-1-111
χ111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-1-1-1-1-1111111-1-111-1-1-1-111
χ121111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-1-1-1-1-11111-1-111-1-11111-1-1
χ131111-1-1-1-111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1111111-1-1-1-111-11-11
χ141111-1-1-1-111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-11111-1-11-11-1
χ151111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-1111111-1-1-1-111-1-1-1-1111-11-1
χ161111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-1111111-1-1-1-1-1-11111-1-1-11-11
χ1722222222222222-2-2-2-2-2-2-2-2222222-2-2-2-2000000000000000022-2-2-2-200000000000000000000
χ1822222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-20000000000000000-2-2222200000000000000000000
χ192222222222-2-2-2-2000000002222-2-200002222−2−2−2−22222−2−2−2−2-2-2000022−2−222−2−2000000000000
χ202222222222-2-2-2-2000000002222-2-20000−2−2−2−22222−2−2−2−22222-2-20000−2−222−2−222000000000000
χ212222222222-2-2-2-200000000-2-2-2-2-2-200002222−2−2−2−22222−2−2−2−2220000−2−222−2−222000000000000
χ222222222222-2-2-2-200000000-2-2-2-2-2-20000−2−2−2−22222−2−2−2−2222222000022−2−222−2−2000000000000
χ23222222-2-2-2-200002222−2−2−2−22-22-20022−2−2ζ2−ζ14ζ2−ζ14−ζ2+ζ14−ζ2+ζ14ζ6−ζ10ζ6−ζ10−ζ6+ζ10−ζ6+ζ10ζ2−ζ14ζ2−ζ14−ζ2+ζ14−ζ2+ζ14ζ6−ζ10ζ6−ζ10−ζ6+ζ10−ζ6+ζ10002−22−2ζ2−ζ14−ζ2+ζ14ζ6−ζ10−ζ6+ζ10ζ2−ζ14−ζ2+ζ14ζ6−ζ10−ζ6+ζ10000000000000
χ24222222-2-2-2-200002222−2−2−2−22-22-20022−2−2−ζ2+ζ14−ζ2+ζ14ζ2−ζ14ζ2−ζ14−ζ6+ζ10−ζ6+ζ10ζ6−ζ10ζ6−ζ10−ζ2+ζ14−ζ2+ζ14ζ2−ζ14ζ2−ζ14−ζ6+ζ10−ζ6+ζ10ζ6−ζ10ζ6−ζ10002−22−2−ζ2+ζ14ζ2−ζ14−ζ6+ζ10ζ6−ζ10−ζ2+ζ14ζ2−ζ14−ζ6+ζ10ζ6−ζ10000000000000
χ25222222-2-2-2-200002222−2−2−2−2-22-220022−2−2ζ2−ζ14ζ2−ζ14−ζ2+ζ14−ζ2+ζ14ζ6−ζ10ζ6−ζ10−ζ6+ζ10−ζ6+ζ10ζ2−ζ14ζ2−ζ14−ζ2+ζ14−ζ2+ζ14ζ6−ζ10ζ6−ζ10−ζ6+ζ10−ζ6+ζ1000−22−22−ζ2+ζ14ζ2−ζ14−ζ6+ζ10ζ6−ζ10−ζ2+ζ14ζ2−ζ14−ζ6+ζ10ζ6−ζ10000000000000
χ26222222-2-2-2-200002222−2−2−2−2-22-220022−2−2−ζ2+ζ14−ζ2+ζ14ζ2−ζ14ζ2−ζ14−ζ6+ζ10−ζ6+ζ10ζ6−ζ10ζ6−ζ10−ζ2+ζ14−ζ2+ζ14ζ2−ζ14ζ2−ζ14−ζ6+ζ10−ζ6+ζ10ζ6−ζ10ζ6−ζ1000−22−22ζ2−ζ14−ζ2+ζ14ζ6−ζ10−ζ6+ζ10ζ2−ζ14−ζ2+ζ14ζ6−ζ10−ζ6+ζ10000000000000
χ27222222-2-2-2-20000−2−2−2−222222-22-200−2−222ζ6−ζ10ζ6−ζ10−ζ6+ζ10−ζ6+ζ10−ζ2+ζ14−ζ2+ζ14ζ2−ζ14ζ2−ζ14ζ6−ζ10ζ6−ζ10−ζ6+ζ10−ζ6+ζ10−ζ2+ζ14−ζ2+ζ14ζ2−ζ14ζ2−ζ1400−22−22ζ6−ζ10−ζ6+ζ10−ζ2+ζ14ζ2−ζ14ζ6−ζ10−ζ6+ζ10−ζ2+ζ14ζ2−ζ14000000000000
χ28222222-2-2-2-20000−2−2−2−222222-22-200−2−222−ζ6+ζ10−ζ6+ζ10ζ6−ζ10ζ6−ζ10ζ2−ζ14ζ2−ζ14−ζ2+ζ14−ζ2+ζ14−ζ6+ζ10−ζ6+ζ10ζ6−ζ10ζ6−ζ10ζ2−ζ14ζ2−ζ14−ζ2+ζ14−ζ2+ζ1400−22−22−ζ6+ζ10ζ6−ζ10ζ2−ζ14−ζ2+ζ14−ζ6+ζ10ζ6−ζ10ζ2−ζ14−ζ2+ζ14000000000000
χ29222222-2-2-2-20000−2−2−2−22222-22-2200−2−222ζ6−ζ10ζ6−ζ10−ζ6+ζ10−ζ6+ζ10−ζ2+ζ14−ζ2+ζ14ζ2−ζ14ζ2−ζ14ζ6−ζ10ζ6−ζ10−ζ6+ζ10−ζ6+ζ10−ζ2+ζ14−ζ2+ζ14ζ2−ζ14ζ2−ζ14002−22−2−ζ6+ζ10ζ6−ζ10ζ2−ζ14−ζ2+ζ14−ζ6+ζ10ζ6−ζ10ζ2−ζ14−ζ2+ζ14000000000000
χ30222222-2-2-2-20000−2−2−2−22222-22-2200−2−222−ζ6+ζ10−ζ6+ζ10ζ6−ζ10ζ6−ζ10ζ2−ζ14ζ2−ζ14−ζ2+ζ14−ζ2+ζ14−ζ6+ζ10−ζ6+ζ10ζ6−ζ10ζ6−ζ10ζ2−ζ14ζ2−ζ14−ζ2+ζ14−ζ2+ζ14002−22−2ζ6−ζ10−ζ6+ζ10−ζ2+ζ14ζ2−ζ14ζ6−ζ10−ζ6+ζ10−ζ2+ζ14ζ2−ζ14000000000000
χ312222-2-222-2-200002222−2−2−2−22-2-2200−2−222ζ2−ζ14ζ2−ζ14−ζ2+ζ14−ζ2+ζ14ζ6−ζ10ζ6−ζ10−ζ6+ζ10−ζ6+ζ10−ζ2+ζ14−ζ2+ζ14ζ2−ζ14ζ2−ζ14−ζ6+ζ10−ζ6+ζ10ζ6−ζ10ζ6−ζ10002−2−22ζ2−ζ14−ζ2+ζ14ζ6−ζ10−ζ6+ζ10−ζ2+ζ14ζ2−ζ14−ζ6+ζ10ζ6−ζ10000000000000
χ322222-2-222-2-200002222−2−2−2−22-2-2200−2−222−ζ2+ζ14−ζ2+ζ14ζ2−ζ14ζ2−ζ14−ζ6+ζ10−ζ6+ζ10ζ6−ζ10ζ6−ζ10ζ2−ζ14ζ2−ζ14−ζ2+ζ14−ζ2+ζ14ζ6−ζ10ζ6−ζ10−ζ6+ζ10−ζ6+ζ10002−2−22−ζ2+ζ14ζ2−ζ14−ζ6+ζ10ζ6−ζ10ζ2−ζ14−ζ2+ζ14ζ6−ζ10−ζ6+ζ10000000000000
χ332222-2-222-2-200002222−2−2−2−2-222-200−2−222ζ2−ζ14ζ2−ζ14−ζ2+ζ14−ζ2+ζ14ζ6−ζ10ζ6−ζ10−ζ6+ζ10−ζ6+ζ10−ζ2+ζ14−ζ2+ζ14ζ2−ζ14ζ2−ζ14−ζ6+ζ10−ζ6+ζ10ζ6−ζ10ζ6−ζ1000−222−2−ζ2+ζ14ζ2−ζ14−ζ6+ζ10ζ6−ζ10ζ2−ζ14−ζ2+ζ14ζ6−ζ10−ζ6+ζ10000000000000
χ342222-2-222-2-200002222−2−2−2−2-222-200−2−222−ζ2+ζ14−ζ2+ζ14ζ2−ζ14ζ2−ζ14−ζ6+ζ10−ζ6+ζ10ζ6−ζ10ζ6−ζ10ζ2−ζ14ζ2−ζ14−ζ2+ζ14−ζ2+ζ14ζ6−ζ10ζ6−ζ10−ζ6+ζ10−ζ6+ζ1000−222−2ζ2−ζ14−ζ2+ζ14ζ6−ζ10−ζ6+ζ10−ζ2+ζ14ζ2−ζ14−ζ6+ζ10ζ6−ζ10000000000000
χ352222-2-222-2-20000−2−2−2−222222-2-220022−2−2ζ6−ζ10ζ6−ζ10−ζ6+ζ10−ζ6+ζ10−ζ2+ζ14−ζ2+ζ14ζ2−ζ14ζ2−ζ14−ζ6+ζ10−ζ6+ζ10ζ6−ζ10ζ6−ζ10ζ2−ζ14ζ2−ζ14−ζ2+ζ14−ζ2+ζ1400−222−2ζ6−ζ10−ζ6+ζ10−ζ2+ζ14ζ2−ζ14−ζ6+ζ10ζ6−ζ10ζ2−ζ14−ζ2+ζ14000000000000
χ362222-2-222-2-20000−2−2−2−222222-2-220022−2−2−ζ6+ζ10−ζ6+ζ10ζ6−ζ10ζ6−ζ10ζ2−ζ14ζ2−ζ14−ζ2+ζ14−ζ2+ζ14ζ6−ζ10ζ6−ζ10−ζ6+ζ10−ζ6+ζ10−ζ2+ζ14−ζ2+ζ14ζ2−ζ14ζ2−ζ1400−222−2−ζ6+ζ10ζ6−ζ10ζ2−ζ14−ζ2+ζ14ζ6−ζ10−ζ6+ζ10−ζ2+ζ14ζ2−ζ14000000000000
χ372222-2-222-2-20000−2−2−2−22222-222-20022−2−2ζ6−ζ10ζ6−ζ10−ζ6+ζ10−ζ6+ζ10−ζ2+ζ14−ζ2+ζ14ζ2−ζ14ζ2−ζ14−ζ6+ζ10−ζ6+ζ10ζ6−ζ10ζ6−ζ10ζ2−ζ14ζ2−ζ14−ζ2+ζ14−ζ2+ζ14002−2−22−ζ6+ζ10ζ6−ζ10ζ2−ζ14−ζ2+ζ14ζ6−ζ10−ζ6+ζ10−ζ2+ζ14ζ2−ζ14000000000000
χ382222-2-222-2-20000−2−2−2−22222-222-20022−2−2−ζ6+ζ10−ζ6+ζ10ζ6−ζ10ζ6−ζ10ζ2−ζ14ζ2−ζ14−ζ2+ζ14−ζ2+ζ14ζ6−ζ10ζ6−ζ10−ζ6+ζ10−ζ6+ζ10−ζ2+ζ14−ζ2+ζ14ζ2−ζ14ζ2−ζ14002−2−22ζ6−ζ10−ζ6+ζ10−ζ2+ζ14ζ2−ζ14−ζ6+ζ10ζ6−ζ10ζ2−ζ14−ζ2+ζ14000000000000
χ392222-2-2-2-2222222-2-2-2-2-2-2-2-222-2-2-2-2222200000000000000002-2-2-22200000000000000000000
χ402222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-222-2-222220000000000000000-2222-2-200000000000000000000
χ412222-2-2-2-222-2-2-2-20000000022-2-22200002222−2−2−2−2−2−2−2−22222-22000022−2−2−2−222000000000000
χ422222-2-2-2-222-2-2-2-20000000022-2-2220000−2−2−2−222222222−2−2−2−2-220000−2−22222−2−2000000000000
χ432222-2-2-2-222-2-2-2-200000000-2-2222200002222−2−2−2−2−2−2−2−222222-20000−2−22222−2−2000000000000
χ442222-2-2-2-222-2-2-2-200000000-2-222220000−2−2−2−222222222−2−2−2−22-2000022−2−2−2−222000000000000
χ4522-2-22i−2i2i−2i2-222-2-222-2-222-2-200002i−2i2i−2i2i−2i00000000000000000000000000000000002-22i−2i0000
χ4622-2-22i−2i2i−2i2-222-2-222-2-222-2-200002i−2i2i−2i2i−2i0000000000000000000000000000000000-22−2i2i0000
χ4722-2-22i−2i2i−2i2-222-2-2-2-222-2-22200002i−2i−2i2i−2i2i0000000000000000000000000000002-22i−2i00000000
χ4822-2-22i−2i2i−2i2-222-2-2-2-222-2-22200002i−2i−2i2i−2i2i000000000000000000000000000000-22−2i2i00000000
χ4922-2-2−2i2i−2i2i2-222-2-222-2-222-2-20000−2i2i−2i2i−2i2i00000000000000000000000000000000002-2−2i2i0000
χ5022-2-2−2i2i−2i2i2-222-2-222-2-222-2-20000−2i2i−2i2i−2i2i0000000000000000000000000000000000-222i−2i0000
χ5122-2-2−2i2i−2i2i2-222-2-2-2-222-2-2220000−2i2i2i−2i2i−2i0000000000000000000000000000002-2−2i2i00000000
χ5222-2-2−2i2i−2i2i2-222-2-2-2-222-2-2220000−2i2i2i−2i2i−2i000000000000000000000000000000-222i−2i00000000
χ5344-4-44i−4i4i−4i4-4-4-444000000000000−4i4i0000000000000000000000000000000000000000000000
χ5444-4-44i−4i−4i4i-4400002222−22−22−22−2222220000002i2−2i2−2i22i2000000000000000000000000000000000000000000
χ5544-4-44i−4i−4i4i-440000−22−2222222222−22−22000000−2i22i22i2−2i2000000000000000000000000000000000000000000
χ5644-4-4−4i4i4i−4i-4400002222−22−22−22−222222000000−2i22i22i2−2i2000000000000000000000000000000000000000000
χ5744-4-4−4i4i4i−4i-440000−22−2222222222−22−220000002i2−2i2−2i22i2000000000000000000000000000000000000000000
χ5844-4-4−4i4i−4i4i4-4-4-4440000000000004i−4i0000000000000000000000000000000000000000000000
χ594-44-400000022−2222−222ζ2−2ζ14−2ζ2+2ζ142ζ2−2ζ14−2ζ2+2ζ142ζ6−2ζ10−2ζ6+2ζ102ζ6−2ζ10−2ζ6+2ζ100000000000000000002ζ+2ζ15−2ζ−2ζ152ζ7+2ζ9−2ζ7−2ζ92ζ3+2ζ13−2ζ3−2ζ132ζ5+2ζ11−2ζ5−2ζ1100000000000000000000000000
χ604-44-400000022−2222−222ζ2−2ζ14−2ζ2+2ζ142ζ2−2ζ14−2ζ2+2ζ142ζ6−2ζ10−2ζ6+2ζ102ζ6−2ζ10−2ζ6+2ζ10000000000000000000−2ζ−2ζ152ζ+2ζ15−2ζ7−2ζ92ζ7+2ζ9−2ζ3−2ζ132ζ3+2ζ13−2ζ5−2ζ112ζ5+2ζ1100000000000000000000000000
χ614-44-400000022−2222−22−2ζ2+2ζ142ζ2−2ζ14−2ζ2+2ζ142ζ2−2ζ14−2ζ6+2ζ102ζ6−2ζ10−2ζ6+2ζ102ζ6−2ζ100000000000000000002ζ7+2ζ9−2ζ7−2ζ9−2ζ−2ζ152ζ+2ζ15−2ζ5−2ζ112ζ5+2ζ112ζ3+2ζ13−2ζ3−2ζ1300000000000000000000000000
χ624-44-400000022−2222−22−2ζ2+2ζ142ζ2−2ζ14−2ζ2+2ζ142ζ2−2ζ14−2ζ6+2ζ102ζ6−2ζ10−2ζ6+2ζ102ζ6−2ζ10000000000000000000−2ζ7−2ζ92ζ7+2ζ92ζ+2ζ15−2ζ−2ζ152ζ5+2ζ11−2ζ5−2ζ11−2ζ3−2ζ132ζ3+2ζ1300000000000000000000000000
χ634-44-4000000−2222−22222ζ6−2ζ10−2ζ6+2ζ102ζ6−2ζ10−2ζ6+2ζ10−2ζ2+2ζ142ζ2−2ζ14−2ζ2+2ζ142ζ2−2ζ140000000000000000002ζ3+2ζ13−2ζ3−2ζ13−2ζ5−2ζ112ζ5+2ζ112ζ7+2ζ9−2ζ7−2ζ92ζ+2ζ15−2ζ−2ζ1500000000000000000000000000
χ644-44-4000000−2222−22222ζ6−2ζ10−2ζ6+2ζ102ζ6−2ζ10−2ζ6+2ζ10−2ζ2+2ζ142ζ2−2ζ14−2ζ2+2ζ142ζ2−2ζ14000000000000000000−2ζ3−2ζ132ζ3+2ζ132ζ5+2ζ11−2ζ5−2ζ11−2ζ7−2ζ92ζ7+2ζ9−2ζ−2ζ152ζ+2ζ1500000000000000000000000000
χ654-44-4000000−2222−2222−2ζ6+2ζ102ζ6−2ζ10−2ζ6+2ζ102ζ6−2ζ102ζ2−2ζ14−2ζ2+2ζ142ζ2−2ζ14−2ζ2+2ζ140000000000000000002ζ5+2ζ11−2ζ5−2ζ112ζ3+2ζ13−2ζ3−2ζ132ζ+2ζ15−2ζ−2ζ15−2ζ7−2ζ92ζ7+2ζ900000000000000000000000000
χ664-44-4000000−2222−2222−2ζ6+2ζ102ζ6−2ζ10−2ζ6+2ζ102ζ6−2ζ102ζ2−2ζ14−2ζ2+2ζ142ζ2−2ζ14−2ζ2+2ζ14000000000000000000−2ζ5−2ζ112ζ5+2ζ11−2ζ3−2ζ132ζ3+2ζ13−2ζ−2ζ152ζ+2ζ152ζ7+2ζ9−2ζ7−2ζ900000000000000000000000000
χ674-4-4400000022−22−22222ζ2−2ζ14−2ζ2+2ζ14−2ζ2+2ζ142ζ2−2ζ142ζ6−2ζ10−2ζ6+2ζ10−2ζ6+2ζ102ζ6−2ζ1000000000002ζ+2ζ15−2ζ−2ζ152ζ7+2ζ9−2ζ7−2ζ92ζ3+2ζ13−2ζ3−2ζ132ζ5+2ζ11−2ζ5−2ζ110000000000000000000000000000000000
χ684-4-4400000022−22−22222ζ2−2ζ14−2ζ2+2ζ14−2ζ2+2ζ142ζ2−2ζ142ζ6−2ζ10−2ζ6+2ζ10−2ζ6+2ζ102ζ6−2ζ100000000000−2ζ−2ζ152ζ+2ζ15−2ζ7−2ζ92ζ7+2ζ9−2ζ3−2ζ132ζ3+2ζ13−2ζ5−2ζ112ζ5+2ζ110000000000000000000000000000000000
χ694-4-4400000022−22−2222−2ζ2+2ζ142ζ2−2ζ142ζ2−2ζ14−2ζ2+2ζ14−2ζ6+2ζ102ζ6−2ζ102ζ6−2ζ10−2ζ6+2ζ1000000000002ζ7+2ζ9−2ζ7−2ζ9−2ζ−2ζ152ζ+2ζ15−2ζ5−2ζ112ζ5+2ζ112ζ3+2ζ13−2ζ3−2ζ130000000000000000000000000000000000
χ704-4-4400000022−22−2222−2ζ2+2ζ142ζ2−2ζ142ζ2−2ζ14−2ζ2+2ζ14−2ζ6+2ζ102ζ6−2ζ102ζ6−2ζ10−2ζ6+2ζ100000000000−2ζ7−2ζ92ζ7+2ζ92ζ+2ζ15−2ζ−2ζ152ζ5+2ζ11−2ζ5−2ζ11−2ζ3−2ζ132ζ3+2ζ130000000000000000000000000000000000
χ714-4-44000000−222222−222ζ6−2ζ10−2ζ6+2ζ10−2ζ6+2ζ102ζ6−2ζ10−2ζ2+2ζ142ζ2−2ζ142ζ2−2ζ14−2ζ2+2ζ1400000000002ζ3+2ζ13−2ζ3−2ζ13−2ζ5−2ζ112ζ5+2ζ112ζ7+2ζ9−2ζ7−2ζ92ζ+2ζ15−2ζ−2ζ150000000000000000000000000000000000
χ724-4-44000000−222222−222ζ6−2ζ10−2ζ6+2ζ10−2ζ6+2ζ102ζ6−2ζ10−2ζ2+2ζ142ζ2−2ζ142ζ2−2ζ14−2ζ2+2ζ140000000000−2ζ3−2ζ132ζ3+2ζ132ζ5+2ζ11−2ζ5−2ζ11−2ζ7−2ζ92ζ7+2ζ9−2ζ−2ζ152ζ+2ζ150000000000000000000000000000000000
χ734-4-44000000−222222−22−2ζ6+2ζ102ζ6−2ζ102ζ6−2ζ10−2ζ6+2ζ102ζ2−2ζ14−2ζ2+2ζ14−2ζ2+2ζ142ζ2−2ζ1400000000002ζ5+2ζ11−2ζ5−2ζ112ζ3+2ζ13−2ζ3−2ζ132ζ+2ζ15−2ζ−2ζ15−2ζ7−2ζ92ζ7+2ζ90000000000000000000000000000000000
χ744-4-44000000−222222−22−2ζ6+2ζ102ζ6−2ζ102ζ6−2ζ10−2ζ6+2ζ102ζ2−2ζ14−2ζ2+2ζ14−2ζ2+2ζ142ζ2−2ζ140000000000−2ζ5−2ζ112ζ5+2ζ11−2ζ3−2ζ132ζ3+2ζ13−2ζ−2ζ152ζ+2ζ152ζ7+2ζ9−2ζ7−2ζ90000000000000000000000000000000000

Here ζ is a primitive root of unity of order 32 (ζ32 = 1); i = ζ8.