Finite Group Databasebeta

← Group #13165845

Character table — Group #13165845

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11114444444444444444669999999999991616161616161616161616161616161624242424363636363636363636363636363636363636363636363636545454545454
order124433336666121212121212121224888816161616161616163333666612121212121212126612122424242424242424484848484848484848484848484848488816161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ31111111111111111111111-1-1-1-1iiii−i−i−i−i11111111111111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1ii−i−i
χ41111111111111111111111-1-1-1-1−i−i−i−iiiii11111111111111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1−i−iii
χ51111−1−i32−1+i3211−1−i32−1+i32111111−1−i32−1−i32−1+i32−1+i3211111111111111−1−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+i321111−1−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+i32111111
χ61111−1−i32−1+i3211−1−i32−1+i32111111−1−i32−1−i32−1+i32−1+i32111111-1-1-1-1-1-1-1-1−1−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+i321111−1−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+i321−i321−i321−i321−i3211-1-1-1-1
χ71111−1−i32−1+i3211−1−i32−1+i32111111−1−i32−1−i32−1+i32−1+i3211-1-1-1-1iiii−i−i−i−i−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+i3211111+i321+i321+i321+i321−i321−i321−i321−i32ζ44ζ44ζ44ζ44ζ28ζ28ζ28ζ28−ζ44−ζ44−ζ44−ζ44−ζ28−ζ28−ζ28−ζ28-1-1ii−i−i
χ81111−1−i32−1+i3211−1−i32−1+i32111111−1−i32−1−i32−1+i32−1+i3211-1-1-1-1−i−i−i−iiiii−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+i3211111+i321+i321+i321+i321−i321−i321−i321−i32−ζ44−ζ44−ζ44−ζ44−ζ28−ζ28−ζ28−ζ28ζ44ζ44ζ44ζ44ζ28ζ28ζ28ζ28-1-1−i−iii
χ91111−1+i32−1−i3211−1+i32−1−i32111111−1+i32−1+i32−1−i32−1−i3211111111111111−1+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−i321111−1+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−i32111111
χ101111−1+i32−1−i3211−1+i32−1−i32111111−1+i32−1+i32−1−i32−1−i32111111-1-1-1-1-1-1-1-1−1+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−i321111−1+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−i321+i321+i321+i321+i3211-1-1-1-1
χ111111−1+i32−1−i3211−1+i32−1−i32111111−1+i32−1+i32−1−i32−1−i3211-1-1-1-1iiii−i−i−i−i−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−i3211111−i321−i321−i321−i321+i321+i321+i321+i32ζ28ζ28ζ28ζ28ζ44ζ44ζ44ζ44−ζ28−ζ28−ζ28−ζ28−ζ44−ζ44−ζ44−ζ44-1-1ii−i−i
χ121111−1+i32−1−i3211−1+i32−1−i32111111−1+i32−1+i32−1−i32−1−i3211-1-1-1-1−i−i−i−iiiii−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−i3211111−i321−i321−i321−i321+i321+i321+i321+i32−ζ28−ζ28−ζ28−ζ28−ζ44−ζ44−ζ44−ζ44ζ28ζ28ζ28ζ28ζ44ζ44ζ44ζ44-1-1−i−iii
χ1311-1-111111111-1-1-1-1-1-1-1-1-11ii−i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ2611111111-1-1-1-1-1-1-1-1-1-111ii−i−iii−i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26i−iζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26
χ1411-1-111111111-1-1-1-1-1-1-1-1-11ii−i−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ2611111111-1-1-1-1-1-1-1-1-1-111ii−i−iii−i−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26i−i−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26
χ1511-1-111111111-1-1-1-1-1-1-1-1-11−i−iii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ4611111111-1-1-1-1-1-1-1-1-1-111−i−iii−i−iii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ii−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46
χ1611-1-111111111-1-1-1-1-1-1-1-1-11−i−iiiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ4611111111-1-1-1-1-1-1-1-1-1-111−i−iii−i−iiiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−iiζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46
χ1711-1-1−1−i32−1+i3211−1−i32−1+i3211-1-1-1-11+i321+i321−i321−i32-11ii−i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-111ζ44ζ44−ζ44−ζ44ζ28ζ28−ζ28−ζ28−ζ14−ζ14ζ14ζ14−ζ46−ζ46ζ46ζ46ζ26ζ26−ζ26−ζ26ζ10ζ10−ζ10−ζ10i−iζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26
χ1811-1-1−1−i32−1+i3211−1−i32−1+i3211-1-1-1-11+i321+i321−i321−i32-11ii−i−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-111ζ44ζ44−ζ44−ζ44ζ28ζ28−ζ28−ζ28ζ14ζ14−ζ14−ζ14ζ46ζ46−ζ46−ζ46−ζ26−ζ26ζ26ζ26−ζ10−ζ10ζ10ζ10i−i−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26
χ1911-1-1−1−i32−1+i3211−1−i32−1+i3211-1-1-1-11+i321+i321−i321−i32-11−i−iii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-111−ζ44−ζ44ζ44ζ44−ζ28−ζ28ζ28ζ28ζ26ζ26−ζ26−ζ26ζ10ζ10−ζ10−ζ10−ζ14−ζ14ζ14ζ14−ζ46−ζ46ζ46ζ46−ii−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46
χ2011-1-1−1−i32−1+i3211−1−i32−1+i3211-1-1-1-11+i321+i321−i321−i32-11−i−iiiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-111−ζ44−ζ44ζ44ζ44−ζ28−ζ28ζ28ζ28−ζ26−ζ26ζ26ζ26−ζ10−ζ10ζ10ζ10ζ14ζ14−ζ14−ζ14ζ46ζ46−ζ46−ζ46−iiζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46
χ2111-1-1−1+i32−1−i3211−1+i32−1−i3211-1-1-1-11−i321−i321+i321+i32-11ii−i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-111ζ28ζ28−ζ28−ζ28ζ44ζ44−ζ44−ζ44−ζ46−ζ46ζ46ζ46−ζ14−ζ14ζ14ζ14ζ10ζ10−ζ10−ζ10ζ26ζ26−ζ26−ζ26i−iζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26
χ2211-1-1−1+i32−1−i3211−1+i32−1−i3211-1-1-1-11−i321−i321+i321+i32-11ii−i−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-111ζ28ζ28−ζ28−ζ28ζ44ζ44−ζ44−ζ44ζ46ζ46−ζ46−ζ46ζ14ζ14−ζ14−ζ14−ζ10−ζ10ζ10ζ10−ζ26−ζ26ζ26ζ26i−i−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26
χ2311-1-1−1+i32−1−i3211−1+i32−1−i3211-1-1-1-11−i321−i321+i321+i32-11−i−iii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-111−ζ28−ζ28ζ28ζ28−ζ44−ζ44ζ44ζ44ζ10ζ10−ζ10−ζ10ζ26ζ26−ζ26−ζ26−ζ46−ζ46ζ46ζ46−ζ14−ζ14ζ14ζ14−ii−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46
χ2411-1-1−1+i32−1−i3211−1+i32−1−i3211-1-1-1-11−i321−i321+i321+i32-11−i−iiiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-111−ζ28−ζ28ζ28ζ28−ζ44−ζ44ζ44ζ44−ζ10−ζ10ζ10ζ10−ζ26−ζ26ζ26ζ26ζ46ζ46−ζ46−ζ46ζ14ζ14−ζ14−ζ14−iiζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46
χ252-22i−2i-1-12211-2-22i2i−2i−2ii−ii−i002ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ262ζ11+2ζ43−2ζ11−2ζ43−2ζ31−2ζ472ζ31+2ζ47−2ζ13−2ζ292ζ13+2ζ29−2ζ25−2ζ412ζ25+2ζ41-1-1-1-11111ii−i−iii−i−i0000ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ζ11+ζ43−ζ11−ζ43−ζ31−ζ47ζ31+ζ47ζ11+ζ43−ζ11−ζ43−ζ31−ζ47ζ31+ζ47−ζ13−ζ29ζ13+ζ29−ζ25−ζ41ζ25+ζ41−ζ13−ζ29ζ13+ζ29−ζ25−ζ41ζ25+ζ41000000
χ262-22i−2i-1-12211-2-22i2i−2i−2ii−ii−i002ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ26−2ζ11−2ζ432ζ11+2ζ432ζ31+2ζ47−2ζ31−2ζ472ζ13+2ζ29−2ζ13−2ζ292ζ25+2ζ41−2ζ25−2ζ41-1-1-1-11111ii−i−iii−i−i0000ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26−ζ11−ζ43ζ11+ζ43ζ31+ζ47−ζ31−ζ47−ζ11−ζ43ζ11+ζ43ζ31+ζ47−ζ31−ζ47ζ13+ζ29−ζ13−ζ29ζ25+ζ41−ζ25−ζ41ζ13+ζ29−ζ13−ζ29ζ25+ζ41−ζ25−ζ41000000
χ272-22i−2i-1-12211-2-22i2i−2i−2ii−ii−i00−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ26−2ζ31−2ζ472ζ31+2ζ47−2ζ11−2ζ432ζ11+2ζ432ζ25+2ζ41−2ζ25−2ζ41−2ζ13−2ζ292ζ13+2ζ29-1-1-1-11111ii−i−iii−i−i0000−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−ζ31−ζ47ζ31+ζ47−ζ11−ζ43ζ11+ζ43−ζ31−ζ47ζ31+ζ47−ζ11−ζ43ζ11+ζ43ζ25+ζ41−ζ25−ζ41−ζ13−ζ29ζ13+ζ29ζ25+ζ41−ζ25−ζ41−ζ13−ζ29ζ13+ζ29000000
χ282-22i−2i-1-12211-2-22i2i−2i−2ii−ii−i00−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ262ζ31+2ζ47−2ζ31−2ζ472ζ11+2ζ43−2ζ11−2ζ43−2ζ25−2ζ412ζ25+2ζ412ζ13+2ζ29−2ζ13−2ζ29-1-1-1-11111ii−i−iii−i−i0000−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26ζ31+ζ47−ζ31−ζ47ζ11+ζ43−ζ11−ζ43ζ31+ζ47−ζ31−ζ47ζ11+ζ43−ζ11−ζ43−ζ25−ζ41ζ25+ζ41ζ13+ζ29−ζ13−ζ29−ζ25−ζ41ζ25+ζ41ζ13+ζ29−ζ13−ζ29000000
χ292-22i−2i1+i321−i3222−1−i32−1+i32-2-22i2i−2i−2iζ44−ζ44ζ28−ζ28002ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ262ζ11+2ζ43−2ζ11−2ζ43−2ζ31−2ζ472ζ31+2ζ47−2ζ13−2ζ292ζ13+2ζ29−2ζ25−2ζ412ζ25+2ζ411+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32ζ44ζ44−ζ44−ζ44ζ28ζ28−ζ28−ζ280000−ζ14ζ14ζ26−ζ26−ζ46ζ46ζ10−ζ10−ζ11ζ11ζ47−ζ47−ζ43ζ43ζ31−ζ31ζ29−ζ29ζ41−ζ41ζ13−ζ13ζ25−ζ25000000
χ302-22i−2i1+i321−i3222−1−i32−1+i32-2-22i2i−2i−2iζ44−ζ44ζ28−ζ28002ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ26−2ζ11−2ζ432ζ11+2ζ432ζ31+2ζ47−2ζ31−2ζ472ζ13+2ζ29−2ζ13−2ζ292ζ25+2ζ41−2ζ25−2ζ411+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32ζ44ζ44−ζ44−ζ44ζ28ζ28−ζ28−ζ280000−ζ14ζ14ζ26−ζ26−ζ46ζ46ζ10−ζ10ζ11−ζ11−ζ47ζ47ζ43−ζ43−ζ31ζ31−ζ29ζ29−ζ41ζ41−ζ13ζ13−ζ25ζ25000000
χ312-22i−2i1+i321−i3222−1−i32−1+i32-2-22i2i−2i−2iζ44−ζ44ζ28−ζ2800−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ26−2ζ31−2ζ472ζ31+2ζ47−2ζ11−2ζ432ζ11+2ζ432ζ25+2ζ41−2ζ25−2ζ41−2ζ13−2ζ292ζ13+2ζ291+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32ζ44ζ44−ζ44−ζ44ζ28ζ28−ζ28−ζ280000ζ14−ζ14−ζ26ζ26ζ46−ζ46−ζ10ζ10ζ47−ζ47ζ11−ζ11ζ31−ζ31ζ43−ζ43−ζ41ζ41ζ29−ζ29−ζ25ζ25ζ13−ζ13000000
χ322-22i−2i1+i321−i3222−1−i32−1+i32-2-22i2i−2i−2iζ44−ζ44ζ28−ζ2800−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ262ζ31+2ζ47−2ζ31−2ζ472ζ11+2ζ43−2ζ11−2ζ43−2ζ25−2ζ412ζ25+2ζ412ζ13+2ζ29−2ζ13−2ζ291+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32ζ44ζ44−ζ44−ζ44ζ28ζ28−ζ28−ζ280000ζ14−ζ14−ζ26ζ26ζ46−ζ46−ζ10ζ10−ζ47ζ47−ζ11ζ11−ζ31ζ31−ζ43ζ43ζ41−ζ41−ζ29ζ29ζ25−ζ25−ζ13ζ13000000
χ332-22i−2i1−i321+i3222−1+i32−1−i32-2-22i2i−2i−2iζ28−ζ28ζ44−ζ44002ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ262ζ11+2ζ43−2ζ11−2ζ43−2ζ31−2ζ472ζ31+2ζ47−2ζ13−2ζ292ζ13+2ζ29−2ζ25−2ζ412ζ25+2ζ411−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32ζ28ζ28−ζ28−ζ28ζ44ζ44−ζ44−ζ440000−ζ46ζ46ζ10−ζ10−ζ14ζ14ζ26−ζ26−ζ43ζ43ζ31−ζ31−ζ11ζ11ζ47−ζ47ζ13−ζ13ζ25−ζ25ζ29−ζ29ζ41−ζ41000000
χ342-22i−2i1−i321+i3222−1+i32−1−i32-2-22i2i−2i−2iζ28−ζ28ζ44−ζ44002ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ26−2ζ11−2ζ432ζ11+2ζ432ζ31+2ζ47−2ζ31−2ζ472ζ13+2ζ29−2ζ13−2ζ292ζ25+2ζ41−2ζ25−2ζ411−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32ζ28ζ28−ζ28−ζ28ζ44ζ44−ζ44−ζ440000−ζ46ζ46ζ10−ζ10−ζ14ζ14ζ26−ζ26ζ43−ζ43−ζ31ζ31ζ11−ζ11−ζ47ζ47−ζ13ζ13−ζ25ζ25−ζ29ζ29−ζ41ζ41000000
χ352-22i−2i1−i321+i3222−1+i32−1−i32-2-22i2i−2i−2iζ28−ζ28ζ44−ζ4400−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ26−2ζ31−2ζ472ζ31+2ζ47−2ζ11−2ζ432ζ11+2ζ432ζ25+2ζ41−2ζ25−2ζ41−2ζ13−2ζ292ζ13+2ζ291−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32ζ28ζ28−ζ28−ζ28ζ44ζ44−ζ44−ζ440000ζ46−ζ46−ζ10ζ10ζ14−ζ14−ζ26ζ26ζ31−ζ31ζ43−ζ43ζ47−ζ47ζ11−ζ11−ζ25ζ25ζ13−ζ13−ζ41ζ41ζ29−ζ29000000
χ362-22i−2i1−i321+i3222−1+i32−1−i32-2-22i2i−2i−2iζ28−ζ28ζ44−ζ4400−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ262ζ31+2ζ47−2ζ31−2ζ472ζ11+2ζ43−2ζ11−2ζ43−2ζ25−2ζ412ζ25+2ζ412ζ13+2ζ29−2ζ13−2ζ291−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32ζ28ζ28−ζ28−ζ28ζ44ζ44−ζ44−ζ440000ζ46−ζ46−ζ10ζ10ζ14−ζ14−ζ26ζ26−ζ31ζ31−ζ43ζ43−ζ47ζ47−ζ11ζ11ζ25−ζ25−ζ13ζ13ζ41−ζ41−ζ29ζ29000000
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χ392-2−2i2i-1-12211-2-2−2i−2i2i2i−ii−ii002ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ46−2ζ25−2ζ412ζ25+2ζ41−2ζ13−2ζ292ζ13+2ζ292ζ31+2ζ47−2ζ31−2ζ47−2ζ11−2ζ432ζ11+2ζ43-1-1-1-11111−i−iii−i−iii0000ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46−ζ25−ζ41ζ25+ζ41−ζ13−ζ29ζ13+ζ29−ζ25−ζ41ζ25+ζ41−ζ13−ζ29ζ13+ζ29ζ31+ζ47−ζ31−ζ47−ζ11−ζ43ζ11+ζ43ζ31+ζ47−ζ31−ζ47−ζ11−ζ43ζ11+ζ43000000
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χ412-2−2i2i1+i321−i3222−1−i32−1+i32-2-2−2i−2i2i2i−ζ44ζ44−ζ28ζ2800−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46−2ζ13−2ζ292ζ13+2ζ292ζ25+2ζ41−2ζ25−2ζ412ζ11+2ζ43−2ζ11−2ζ432ζ31+2ζ47−2ζ31−2ζ471+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−ζ44−ζ44ζ44ζ44−ζ28−ζ28ζ28ζ280000ζ26−ζ26−ζ14ζ14ζ10−ζ10−ζ46ζ46ζ29−ζ29−ζ41ζ41ζ13−ζ13−ζ25ζ25−ζ11ζ11−ζ47ζ47−ζ43ζ43−ζ31ζ31000000
χ422-2−2i2i1+i321−i3222−1−i32−1+i32-2-2−2i−2i2i2i−ζ44ζ44−ζ28ζ2800−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ462ζ13+2ζ29−2ζ13−2ζ29−2ζ25−2ζ412ζ25+2ζ41−2ζ11−2ζ432ζ11+2ζ43−2ζ31−2ζ472ζ31+2ζ471+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−ζ44−ζ44ζ44ζ44−ζ28−ζ28ζ28ζ280000ζ26−ζ26−ζ14ζ14ζ10−ζ10−ζ46ζ46−ζ29ζ29ζ41−ζ41−ζ13ζ13ζ25−ζ25ζ11−ζ11ζ47−ζ47ζ43−ζ43ζ31−ζ31000000
χ432-2−2i2i1+i321−i3222−1−i32−1+i32-2-2−2i−2i2i2i−ζ44ζ44−ζ28ζ28002ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ46−2ζ25−2ζ412ζ25+2ζ41−2ζ13−2ζ292ζ13+2ζ292ζ31+2ζ47−2ζ31−2ζ47−2ζ11−2ζ432ζ11+2ζ431+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−ζ44−ζ44ζ44ζ44−ζ28−ζ28ζ28ζ280000−ζ26ζ26ζ14−ζ14−ζ10ζ10ζ46−ζ46ζ41−ζ41ζ29−ζ29ζ25−ζ25ζ13−ζ13−ζ47ζ47ζ11−ζ11−ζ31ζ31ζ43−ζ43000000
χ442-2−2i2i1+i321−i3222−1−i32−1+i32-2-2−2i−2i2i2i−ζ44ζ44−ζ28ζ28002ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ462ζ25+2ζ41−2ζ25−2ζ412ζ13+2ζ29−2ζ13−2ζ29−2ζ31−2ζ472ζ31+2ζ472ζ11+2ζ43−2ζ11−2ζ431+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−ζ44−ζ44ζ44ζ44−ζ28−ζ28ζ28ζ280000−ζ26ζ26ζ14−ζ14−ζ10ζ10ζ46−ζ46−ζ41ζ41−ζ29ζ29−ζ25ζ25−ζ13ζ13ζ47−ζ47−ζ11ζ11ζ31−ζ31−ζ43ζ43000000
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χ482-2−2i2i1−i321+i3222−1+i32−1−i32-2-2−2i−2i2i2i−ζ28ζ28−ζ44ζ44002ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ462ζ25+2ζ41−2ζ25−2ζ412ζ13+2ζ29−2ζ13−2ζ29−2ζ31−2ζ472ζ31+2ζ472ζ11+2ζ43−2ζ11−2ζ431−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−ζ28−ζ28ζ28ζ28−ζ44−ζ44ζ44ζ440000−ζ10ζ10ζ46−ζ46−ζ26ζ26ζ14−ζ14−ζ25ζ25−ζ13ζ13−ζ41ζ41−ζ29ζ29ζ31−ζ31−ζ43ζ43ζ47−ζ47−ζ11ζ11000000
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Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.