Finite Group Databasebeta

← Group #13165078

Character table — Group #13165078

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size112889916181818181818181818181818182424484872721128899161818181818181818181818181824244848727211288991618181818181818181818181818242448487272
order12436221248888161616161616161644121244361236661212242424244848484848484848121212121212361236661212242424244848484848484848121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1
χ31111111111111-1-1-1-1-1-1-1-11111-1-11111111111111-1-1-1-1-1-1-1-11111-1-11111111111111-1-1-1-1-1-1-1-11111-1-1
χ41111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ511-111-1-1-1111-1-1iiii−i−i−i−i1-11-1i−i11-111-1-1-1111-1-1iiii−i−i−i−i1-11-1i−i11-111-1-1-1111-1-1iiii−i−i−i−i1-11-1i−i
χ611-111-1-1-1111-1-1iiii−i−i−i−i-11-11−ii11-111-1-1-1111-1-1iiii−i−i−i−i-11-11−ii11-111-1-1-1111-1-1iiii−i−i−i−i-11-11−ii
χ711-111-1-1-1111-1-1−i−i−i−iiiii1-11-1−ii11-111-1-1-1111-1-1−i−i−i−iiiii1-11-1−ii11-111-1-1-1111-1-1−i−i−i−iiiii1-11-1−ii
χ811-111-1-1-1111-1-1−i−i−i−iiiii-11-11i−i11-111-1-1-1111-1-1−i−i−i−iiiii-11-11i−i11-111-1-1-1111-1-1−i−i−i−iiiii-11-11i−i
χ9222222222-2-2-2-200000000000000222222222-2-2-2-200000000000000222222222-2-2-2-200000000000000
χ1022222-2-22-20000i2i2−i2−i2i2i2−i2−i200000022222-2-22-20000i2i2−i2−i2i2i2−i2−i200000022222-2-22-20000i2i2−i2−i2i2i2−i2−i2000000
χ1122222-2-22-20000−i2−i2i2i2−i2−i2i2i200000022222-2-22-20000−i2−i2i2i2−i2−i2i2i200000022222-2-22-20000−i2−i2i2i2−i2−i2i2i2000000
χ1222-22222-2-2000022−2−2−2−22200000022-22222-2-2000022−2−2−2−22200000022-22222-2-2000022−2−2−2−222000000
χ1322-22222-2-20000−2−22222−2−200000022-22222-2-20000−2−22222−2−200000022-22222-2-20000−2−22222−2−2000000
χ1422-222-2-2-22-2-2220000000000000022-222-2-2-22-2-2220000000000000022-222-2-2-22-2-22200000000000000
χ152-202-22-2002−22−2ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ430000002-202-22-2002−22−2ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ430000002-202-22-2002−22−2ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43000000
χ162-202-22-2002−22−2−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ430000002-202-22-2002−22−2−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ430000002-202-22-2002−22−2−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43000000
χ172-202-22-200−22−22−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ470000002-202-22-200−22−22−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ470000002-202-22-200−22−22−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47000000
χ182-202-22-200−22−22ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ470000002-202-22-200−22−22ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ470000002-202-22-200−22−22ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47000000
χ192-202-2-22002−2−22−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ470000002-202-2-22002−2−22−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ470000002-202-2-22002−2−22−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47000000
χ202-202-2-22002−2−22ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ470000002-202-2-22002−2−22ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ470000002-202-2-22002−2−22ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47000000
χ212-202-2-2200−222−2ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ430000002-202-2-2200−222−2ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ430000002-202-2-2200−222−2ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43000000
χ222-202-2-2200−222−2−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ430000002-202-2-2200−222−2−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ430000002-202-2-2200−222−2−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43000000
χ23888-1-100-1000000000000022-1-100888-1-100-1000000000000022-1-100888-1-100-1000000000000022-1-100
χ24888-1-100-10000000000000-2-21100888-1-100-10000000000000-2-21100888-1-100-10000000000000-2-21100
χ2588-8-1-100100000000000002-2-110088-8-1-100100000000000002-2-110088-8-1-100100000000000002-2-1100
χ2688-8-1-10010000000000000-221-10088-8-1-10010000000000000-221-10088-8-1-10010000000000000-221-100
χ2716-160-22000000000000000000000016-160-22000000000000000000000016-160-220000000000000000000000
χ28111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ29111111111111111111111-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32
χ301111111111111-1-1-1-1-1-1-1-11111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ311111111111111-1-1-1-1-1-1-1-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ3211-111-1-1-1111-1-1iiii−i−i−i−i1-11-1i−i−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32ζ28ζ28ζ28ζ28−ζ28−ζ28−ζ28−ζ28−1+i321−i32−1+i321−i32ζ28−ζ28−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32ζ44ζ44ζ44ζ44−ζ44−ζ44−ζ44−ζ44−1−i321+i32−1−i321+i32ζ44−ζ44
χ3311-111-1-1-1111-1-1iiii−i−i−i−i-11-11−ii−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32ζ28ζ28ζ28ζ28−ζ28−ζ28−ζ28−ζ281−i32−1+i321−i32−1+i32−ζ28ζ28−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32ζ44ζ44ζ44ζ44−ζ44−ζ44−ζ44−ζ441+i32−1−i321+i32−1−i32−ζ44ζ44
χ3411-111-1-1-1111-1-1−i−i−i−iiiii1-11-1−ii−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−ζ28−ζ28−ζ28−ζ28ζ28ζ28ζ28ζ28−1+i321−i32−1+i321−i32−ζ28ζ28−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−ζ44−ζ44−ζ44−ζ44ζ44ζ44ζ44ζ44−1−i321+i32−1−i321+i32−ζ44ζ44
χ3511-111-1-1-1111-1-1−i−i−i−iiiii-11-11i−i−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−ζ28−ζ28−ζ28−ζ28ζ28ζ28ζ28ζ281−i32−1+i321−i32−1+i32ζ28−ζ28−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−ζ44−ζ44−ζ44−ζ44ζ44ζ44ζ44ζ441+i32−1−i321+i32−1−i32ζ44−ζ44
χ36222222222-2-2-2-200000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i300000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i300000000000000
χ3722222-2-22-20000i2i2−i2−i2i2i2−i2−i2000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i30000−ζ10−ζ46−ζ10−ζ46ζ10+ζ46ζ10+ζ46−ζ10−ζ46−ζ10−ζ46ζ10+ζ46ζ10+ζ46000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i30000−ζ14−ζ26−ζ14−ζ26ζ14+ζ26ζ14+ζ26−ζ14−ζ26−ζ14−ζ26ζ14+ζ26ζ14+ζ26000000
χ3822222-2-22-20000−i2−i2i2i2−i2−i2i2i2000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i30000ζ10+ζ46ζ10+ζ46−ζ10−ζ46−ζ10−ζ46ζ10+ζ46ζ10+ζ46−ζ10−ζ46−ζ10−ζ46000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i30000ζ14+ζ26ζ14+ζ26−ζ14−ζ26−ζ14−ζ26ζ14+ζ26ζ14+ζ26−ζ14−ζ26−ζ14−ζ26000000
χ3922-22222-2-2000022−2−2−2−222000000−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i30000ζ10−ζ46ζ10−ζ46−ζ10+ζ46−ζ10+ζ46−ζ10+ζ46−ζ10+ζ46ζ10−ζ46ζ10−ζ46000000−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i30000−ζ14+ζ26−ζ14+ζ26ζ14−ζ26ζ14−ζ26ζ14−ζ26ζ14−ζ26−ζ14+ζ26−ζ14+ζ26000000
χ4022-22222-2-20000−2−22222−2−2000000−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i30000−ζ10+ζ46−ζ10+ζ46ζ10−ζ46ζ10−ζ46ζ10−ζ46ζ10−ζ46−ζ10+ζ46−ζ10+ζ46000000−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i30000ζ14−ζ26ζ14−ζ26−ζ14+ζ26−ζ14+ζ26−ζ14+ζ26−ζ14+ζ26ζ14−ζ26ζ14−ζ26000000
χ4122-222-2-2-22-2-22200000000000000−1+i3−1+i31−i3−1+i3−1+i31−i31−i31−i3−1+i31−i31−i3−1+i3−1+i300000000000000−1−i3−1−i31+i3−1−i3−1−i31+i31+i31+i3−1−i31+i31+i3−1−i3−1−i300000000000000
χ422-202-22-2002−22−2ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43000000−1+i31−i30−1+i31−i3−1+i31−i300ζ10−ζ46−ζ10+ζ46ζ10−ζ46−ζ10+ζ46ζ13−ζ43−ζ13+ζ43ζ25−ζ31−ζ25+ζ31ζ25−ζ31−ζ25+ζ31ζ13−ζ43−ζ13+ζ43000000−1−i31+i30−1−i31+i3−1−i31+i300−ζ14+ζ26ζ14−ζ26−ζ14+ζ26ζ14−ζ26−ζ11+ζ29ζ11−ζ29ζ41−ζ47−ζ41+ζ47ζ41−ζ47−ζ41+ζ47−ζ11+ζ29ζ11−ζ29000000
χ432-202-22-2002−22−2−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43000000−1+i31−i30−1+i31−i3−1+i31−i300ζ10−ζ46−ζ10+ζ46ζ10−ζ46−ζ10+ζ46−ζ13+ζ43ζ13−ζ43−ζ25+ζ31ζ25−ζ31−ζ25+ζ31ζ25−ζ31−ζ13+ζ43ζ13−ζ43000000−1−i31+i30−1−i31+i3−1−i31+i300−ζ14+ζ26ζ14−ζ26−ζ14+ζ26ζ14−ζ26ζ11−ζ29−ζ11+ζ29−ζ41+ζ47ζ41−ζ47−ζ41+ζ47ζ41−ζ47ζ11−ζ29−ζ11+ζ29000000
χ442-202-22-200−22−22−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47000000−1+i31−i30−1+i31−i3−1+i31−i300−ζ10+ζ46ζ10−ζ46−ζ10+ζ46ζ10−ζ46ζ25−ζ31−ζ25+ζ31−ζ13+ζ43ζ13−ζ43−ζ13+ζ43ζ13−ζ43ζ25−ζ31−ζ25+ζ31000000−1−i31+i30−1−i31+i3−1−i31+i300ζ14−ζ26−ζ14+ζ26ζ14−ζ26−ζ14+ζ26ζ41−ζ47−ζ41+ζ47ζ11−ζ29−ζ11+ζ29ζ11−ζ29−ζ11+ζ29ζ41−ζ47−ζ41+ζ47000000
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χ472-202-2-22002−2−22ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47000000−1+i31−i30−1+i31−i31−i3−1+i300ζ10−ζ46−ζ10+ζ46−ζ10+ζ46ζ10−ζ46−ζ25−ζ31ζ25+ζ31ζ13+ζ43−ζ13−ζ43−ζ13−ζ43ζ13+ζ43ζ25+ζ31−ζ25−ζ31000000−1−i31+i30−1−i31+i31+i3−1−i300−ζ14+ζ26ζ14−ζ26ζ14−ζ26−ζ14+ζ26−ζ41−ζ47ζ41+ζ47ζ11+ζ29−ζ11−ζ29−ζ11−ζ29ζ11+ζ29ζ41+ζ47−ζ41−ζ47000000
χ482-202-2-2200−222−2ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43000000−1+i31−i30−1+i31−i31−i3−1+i300−ζ10+ζ46ζ10−ζ46ζ10−ζ46−ζ10+ζ46−ζ13−ζ43ζ13+ζ43−ζ25−ζ31ζ25+ζ31ζ25+ζ31−ζ25−ζ31ζ13+ζ43−ζ13−ζ43000000−1−i31+i30−1−i31+i31+i3−1−i300ζ14−ζ26−ζ14+ζ26−ζ14+ζ26ζ14−ζ26−ζ11−ζ29ζ11+ζ29−ζ41−ζ47ζ41+ζ47ζ41+ζ47−ζ41−ζ47ζ11+ζ29−ζ11−ζ29000000
χ492-202-2-2200−222−2−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43000000−1+i31−i30−1+i31−i31−i3−1+i300−ζ10+ζ46ζ10−ζ46ζ10−ζ46−ζ10+ζ46ζ13+ζ43−ζ13−ζ43ζ25+ζ31−ζ25−ζ31−ζ25−ζ31ζ25+ζ31−ζ13−ζ43ζ13+ζ43000000−1−i31+i30−1−i31+i31+i3−1−i300ζ14−ζ26−ζ14+ζ26−ζ14+ζ26ζ14−ζ26ζ11+ζ29−ζ11−ζ29ζ41+ζ47−ζ41−ζ47−ζ41−ζ47ζ41+ζ47−ζ11−ζ29ζ11+ζ29000000
χ50888-1-100-1000000000000022-1-100−4+4i3−4+4i3−4+4i31−i321−i32001−i320000000000000−1+i3−1+i31−i321−i3200−4−4i3−4−4i3−4−4i31+i321+i32001+i320000000000000−1−i3−1−i31+i321+i3200
χ51888-1-100-10000000000000-2-21100−4+4i3−4+4i3−4+4i31−i321−i32001−i3200000000000001−i31−i3−1+i32−1+i3200−4−4i3−4−4i3−4−4i31+i321+i32001+i3200000000000001+i31+i3−1−i32−1−i3200
χ5288-8-1-100100000000000002-2-1100−4+4i3−4+4i34−4i31−i321−i3200−1+i320000000000000−1+i31−i31−i32−1+i3200−4−4i3−4−4i34+4i31+i321+i3200−1−i320000000000000−1−i31+i31+i32−1−i3200
χ5388-8-1-10010000000000000-221-100−4+4i3−4+4i34−4i31−i321−i3200−1+i3200000000000001−i3−1+i3−1+i321−i3200−4−4i3−4−4i34+4i31+i321+i3200−1−i3200000000000001+i3−1−i3−1−i321+i3200
χ5416-160-220000000000000000000000−8+8i38−8i301−i3−1+i30000000000000000000000−8−8i38+8i301+i3−1−i30000000000000000000000
χ55111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ56111111111111111111111-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32
χ571111111111111-1-1-1-1-1-1-1-11111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ581111111111111-1-1-1-1-1-1-1-1-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ5911-111-1-1-1111-1-1iiii−i−i−i−i1-11-1i−i−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32ζ44ζ44ζ44ζ44−ζ44−ζ44−ζ44−ζ44−1−i321+i32−1−i321+i32ζ44−ζ44−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32ζ28ζ28ζ28ζ28−ζ28−ζ28−ζ28−ζ28−1+i321−i32−1+i321−i32ζ28−ζ28
χ6011-111-1-1-1111-1-1iiii−i−i−i−i-11-11−ii−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32ζ44ζ44ζ44ζ44−ζ44−ζ44−ζ44−ζ441+i32−1−i321+i32−1−i32−ζ44ζ44−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32ζ28ζ28ζ28ζ28−ζ28−ζ28−ζ28−ζ281−i32−1+i321−i32−1+i32−ζ28ζ28
χ6111-111-1-1-1111-1-1−i−i−i−iiiii1-11-1−ii−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−ζ44−ζ44−ζ44−ζ44ζ44ζ44ζ44ζ44−1−i321+i32−1−i321+i32−ζ44ζ44−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−ζ28−ζ28−ζ28−ζ28ζ28ζ28ζ28ζ28−1+i321−i32−1+i321−i32−ζ28ζ28
χ6211-111-1-1-1111-1-1−i−i−i−iiiii-11-11i−i−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−ζ44−ζ44−ζ44−ζ44ζ44ζ44ζ44ζ441+i32−1−i321+i32−1−i32ζ44−ζ44−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−ζ28−ζ28−ζ28−ζ28ζ28ζ28ζ28ζ281−i32−1+i321−i32−1+i32ζ28−ζ28
χ63222222222-2-2-2-200000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i300000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i300000000000000
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χ6722-22222-2-20000−2−22222−2−2000000−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i30000ζ14−ζ26ζ14−ζ26−ζ14+ζ26−ζ14+ζ26−ζ14+ζ26−ζ14+ζ26ζ14−ζ26ζ14−ζ26000000−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i30000−ζ10+ζ46−ζ10+ζ46ζ10−ζ46ζ10−ζ46ζ10−ζ46ζ10−ζ46−ζ10+ζ46−ζ10+ζ46000000
χ6822-222-2-2-22-2-22200000000000000−1−i3−1−i31+i3−1−i3−1−i31+i31+i31+i3−1−i31+i31+i3−1−i3−1−i300000000000000−1+i3−1+i31−i3−1+i3−1+i31−i31−i31−i3−1+i31−i31−i3−1+i3−1+i300000000000000
χ692-202-22-2002−22−2ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43000000−1−i31+i30−1−i31+i3−1−i31+i300−ζ14+ζ26ζ14−ζ26−ζ14+ζ26ζ14−ζ26−ζ11+ζ29ζ11−ζ29ζ41−ζ47−ζ41+ζ47ζ41−ζ47−ζ41+ζ47−ζ11+ζ29ζ11−ζ29000000−1+i31−i30−1+i31−i3−1+i31−i300ζ10−ζ46−ζ10+ζ46ζ10−ζ46−ζ10+ζ46ζ13−ζ43−ζ13+ζ43ζ25−ζ31−ζ25+ζ31ζ25−ζ31−ζ25+ζ31ζ13−ζ43−ζ13+ζ43000000
χ702-202-22-2002−22−2−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43000000−1−i31+i30−1−i31+i3−1−i31+i300−ζ14+ζ26ζ14−ζ26−ζ14+ζ26ζ14−ζ26ζ11−ζ29−ζ11+ζ29−ζ41+ζ47ζ41−ζ47−ζ41+ζ47ζ41−ζ47ζ11−ζ29−ζ11+ζ29000000−1+i31−i30−1+i31−i3−1+i31−i300ζ10−ζ46−ζ10+ζ46ζ10−ζ46−ζ10+ζ46−ζ13+ζ43ζ13−ζ43−ζ25+ζ31ζ25−ζ31−ζ25+ζ31ζ25−ζ31−ζ13+ζ43ζ13−ζ43000000
χ712-202-22-200−22−22−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47000000−1−i31+i30−1−i31+i3−1−i31+i300ζ14−ζ26−ζ14+ζ26ζ14−ζ26−ζ14+ζ26ζ41−ζ47−ζ41+ζ47ζ11−ζ29−ζ11+ζ29ζ11−ζ29−ζ11+ζ29ζ41−ζ47−ζ41+ζ47000000−1+i31−i30−1+i31−i3−1+i31−i300−ζ10+ζ46ζ10−ζ46−ζ10+ζ46ζ10−ζ46ζ25−ζ31−ζ25+ζ31−ζ13+ζ43ζ13−ζ43−ζ13+ζ43ζ13−ζ43ζ25−ζ31−ζ25+ζ31000000
χ722-202-22-200−22−22ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47000000−1−i31+i30−1−i31+i3−1−i31+i300ζ14−ζ26−ζ14+ζ26ζ14−ζ26−ζ14+ζ26−ζ41+ζ47ζ41−ζ47−ζ11+ζ29ζ11−ζ29−ζ11+ζ29ζ11−ζ29−ζ41+ζ47ζ41−ζ47000000−1+i31−i30−1+i31−i3−1+i31−i300−ζ10+ζ46ζ10−ζ46−ζ10+ζ46ζ10−ζ46−ζ25+ζ31ζ25−ζ31ζ13−ζ43−ζ13+ζ43ζ13−ζ43−ζ13+ζ43−ζ25+ζ31ζ25−ζ31000000
χ732-202-2-22002−2−22−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47000000−1−i31+i30−1−i31+i31+i3−1−i300−ζ14+ζ26ζ14−ζ26ζ14−ζ26−ζ14+ζ26ζ41+ζ47−ζ41−ζ47−ζ11−ζ29ζ11+ζ29ζ11+ζ29−ζ11−ζ29−ζ41−ζ47ζ41+ζ47000000−1+i31−i30−1+i31−i31−i3−1+i300ζ10−ζ46−ζ10+ζ46−ζ10+ζ46ζ10−ζ46ζ25+ζ31−ζ25−ζ31−ζ13−ζ43ζ13+ζ43ζ13+ζ43−ζ13−ζ43−ζ25−ζ31ζ25+ζ31000000
χ742-202-2-22002−2−22ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47000000−1−i31+i30−1−i31+i31+i3−1−i300−ζ14+ζ26ζ14−ζ26ζ14−ζ26−ζ14+ζ26−ζ41−ζ47ζ41+ζ47ζ11+ζ29−ζ11−ζ29−ζ11−ζ29ζ11+ζ29ζ41+ζ47−ζ41−ζ47000000−1+i31−i30−1+i31−i31−i3−1+i300ζ10−ζ46−ζ10+ζ46−ζ10+ζ46ζ10−ζ46−ζ25−ζ31ζ25+ζ31ζ13+ζ43−ζ13−ζ43−ζ13−ζ43ζ13+ζ43ζ25+ζ31−ζ25−ζ31000000
χ752-202-2-2200−222−2ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43000000−1−i31+i30−1−i31+i31+i3−1−i300ζ14−ζ26−ζ14+ζ26−ζ14+ζ26ζ14−ζ26−ζ11−ζ29ζ11+ζ29−ζ41−ζ47ζ41+ζ47ζ41+ζ47−ζ41−ζ47ζ11+ζ29−ζ11−ζ29000000−1+i31−i30−1+i31−i31−i3−1+i300−ζ10+ζ46ζ10−ζ46ζ10−ζ46−ζ10+ζ46−ζ13−ζ43ζ13+ζ43−ζ25−ζ31ζ25+ζ31ζ25+ζ31−ζ25−ζ31ζ13+ζ43−ζ13−ζ43000000
χ762-202-2-2200−222−2−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43000000−1−i31+i30−1−i31+i31+i3−1−i300ζ14−ζ26−ζ14+ζ26−ζ14+ζ26ζ14−ζ26ζ11+ζ29−ζ11−ζ29ζ41+ζ47−ζ41−ζ47−ζ41−ζ47ζ41+ζ47−ζ11−ζ29ζ11+ζ29000000−1+i31−i30−1+i31−i31−i3−1+i300−ζ10+ζ46ζ10−ζ46ζ10−ζ46−ζ10+ζ46ζ13+ζ43−ζ13−ζ43ζ25+ζ31−ζ25−ζ31−ζ25−ζ31ζ25+ζ31−ζ13−ζ43ζ13+ζ43000000
χ77888-1-100-1000000000000022-1-100−4−4i3−4−4i3−4−4i31+i321+i32001+i320000000000000−1−i3−1−i31+i321+i3200−4+4i3−4+4i3−4+4i31−i321−i32001−i320000000000000−1+i3−1+i31−i321−i3200
χ78888-1-100-10000000000000-2-21100−4−4i3−4−4i3−4−4i31+i321+i32001+i3200000000000001+i31+i3−1−i32−1−i3200−4+4i3−4+4i3−4+4i31−i321−i32001−i3200000000000001−i31−i3−1+i32−1+i3200
χ7988-8-1-100100000000000002-2-1100−4−4i3−4−4i34+4i31+i321+i3200−1−i320000000000000−1−i31+i31+i32−1−i3200−4+4i3−4+4i34−4i31−i321−i3200−1+i320000000000000−1+i31−i31−i32−1+i3200
χ8088-8-1-10010000000000000-221-100−4−4i3−4−4i34+4i31+i321+i3200−1−i3200000000000001+i3−1−i3−1−i321+i3200−4+4i3−4+4i34−4i31−i321−i3200−1+i3200000000000001−i3−1+i3−1+i321−i3200
χ8116-160-220000000000000000000000−8−8i38+8i301+i3−1−i30000000000000000000000−8+8i38−8i301−i3−1+i30000000000000000000000

Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.