Finite Group Databasebeta

← Group #11771876

Character table — Group #11771876

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129
size1111222222222222222222222222222222224444444444444444444444444444444444444444444444444444444121212121212121212121212121212121212121212121212242424242424242424242424144144
order12222233446666666666888812121212242424242424242434666666666881212121212121212121212121212242424242424242424242424242424242424242424242424242424241616161616161616484848484848484848484848484848484444121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ51111-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iii−i−iiiii−i−i−i−i1-1
χ61111-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−iii−i−i−i−iiiii-11
χ71111-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiiiii−i−iiiii−i−i−i−i-11
χ81111-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii−i−iii−i−i−i−iiiii1-1
χ922222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-222222222222-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000
χ1022222222-2-222222222220000-2-2-2-2000000002-222222222200-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000022−2−222−2−22222−2−2−2−22222−2−2−2−200000000000000
χ1122222222-2-222222222220000-2-2-2-2000000002-222222222200-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000−2−222−2−222−2−2−2−22222−2−2−2−2222200000000000000
χ122222222-12222-1-1222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ132222222-12222-1-1222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111100000000000000
χ142222222-12222-1-1222-122-2-2-2-2-1-1-1-111111111-12-1-1-1-1-1-1-1-1-1-2-2222-1-1-1-1-1-1-1-12-1-11111-2-2-2-211111111-2-2-2-2111111110000000033−3−333−3−333−3−333−3−300000000000000
χ152222222-12222-1-1222-122-2-2-2-2-1-1-1-111111111-12-1-1-1-1-1-1-1-1-1-2-2222-1-1-1-1-1-1-1-12-1-11111-2-2-2-211111111-2-2-2-21111111100000000−3−333−3−333−3−333−3−33300000000000000
χ162222222-1-2-222-1-1222-122000011113333−3−3−3−3-1-2-1-1-1-1-1-1-1-1-100-2-2-211111111-21133−3−300003333−3−3−3−300003333−3−3−3−322−2−222−2−2ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ4600000000000000
χ172222222-1-2-222-1-1222-122000011113333−3−3−3−3-1-2-1-1-1-1-1-1-1-1-100-2-2-211111111-21133−3−300003333−3−3−3−300003333−3−3−3−3−2−222−2−222−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ4600000000000000
χ182222222-1-2-222-1-1222-12200001111−3−3−3−33333-1-2-1-1-1-1-1-1-1-1-100-2-2-211111111-211−3−3330000−3−3−3−333330000−3−3−3−3333322−2−222−2−2ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ1400000000000000
χ192222222-1-2-222-1-1222-12200001111−3−3−3−33333-1-2-1-1-1-1-1-1-1-1-100-2-2-211111111-211−3−3330000−3−3−3−333330000−3−3−3−33333−2−222−2−222−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ1400000000000000
χ20222222-1222-1-122-1-1-12-1-12222222222222222-1222-1-1-1-1-1-1-122-1-1-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002222-1-1-1-1-1-1-1-100
χ21222222-1222-1-122-1-1-12-1-12222222222222222-1222-1-1-1-1-1-1-122-1-1-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-21111111100
χ22222222-1222-1-122-1-1-12-1-1-2-2-2-22222-2-2-2-2-2-2-2-2-1222-1-1-1-1-1-1-1-2-2-1-1-122-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111111111110000000000000000000000000000−i3−i3i3i3−i3−i3i3i300
χ23222222-1222-1-122-1-1-12-1-1-2-2-2-22222-2-2-2-2-2-2-2-2-1222-1-1-1-1-1-1-1-2-2-1-1-122-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111111111110000000000000000000000000000i3i3−i3−i3i3i3−i3−i300
χ242222-2-222222222-2-222-2-222222222222222222-2-2-222-2-2-2-22-2-22-2-2-2-222-2-2-2-2222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222222200000000000000000000000000000000000000
χ252222-2-222-2-22222-2-222-2-20000-2-2-2-20000000022-2-222-2-2-2-2200-22222-2-22222-2-2-20000000000000000000000000000−i2−i2i2i2i2i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i200000000000000
χ262222-2-222-2-22222-2-222-2-20000-2-2-2-20000000022-2-222-2-2-2-2200-22222-2-22222-2-2-20000000000000000000000000000i2i2−i2−i2−i2−i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i200000000000000
χ272222-2-22-12222-1-1-2-22-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-211-1-11111-1-2-22-2-211-1-111112-1-11111-2-2-2-2111111112222-1-1-1-1-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i300000000000000
χ282222-2-22-12222-1-1-2-22-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-211-1-11111-1-2-22-2-211-1-111112-1-11111-2-2-2-2111111112222-1-1-1-1-1-1-1-100000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i300000000000000
χ292222-2-22-12222-1-1-2-22-1-2-2-2-2-2-2-1-1-1-111111111-1-211-1-11111-1222-2-211-1-111112-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2111111112i2i2i2i−2i−2i−2i−2i−i−i−i−i−i−i−i−iiiiiiiii00000000000000
χ302222-2-22-12222-1-1-2-22-1-2-2-2-2-2-2-1-1-1-111111111-1-211-1-11111-1222-2-211-1-111112-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-211111111−2i−2i−2i−2i2i2i2i2iiiiiiiii−i−i−i−i−i−i−i−i00000000000000
χ312222-2-22-1-2-222-1-1-2-22-1-2-2000011113333−3−3−3−3-1211-1-11111-100-222-1-111-1-1-1-1-211−3−3330000−3−3−3−3333300003333−3−3−3−3−i2−i2i2i2i2i2−i2−i2ζ10+ζ14ζ10+ζ14ζ26+ζ46ζ26+ζ46−ζ10−ζ14−ζ10−ζ14−ζ26−ζ46−ζ26−ζ46−ζ10−ζ14−ζ10−ζ14−ζ26−ζ46−ζ26−ζ46ζ10+ζ14ζ10+ζ14ζ26+ζ46ζ26+ζ4600000000000000
χ322222-2-22-1-2-222-1-1-2-22-1-2-2000011113333−3−3−3−3-1211-1-11111-100-222-1-111-1-1-1-1-211−3−3330000−3−3−3−3333300003333−3−3−3−3i2i2−i2−i2−i2−i2i2i2−ζ10−ζ14−ζ10−ζ14−ζ26−ζ46−ζ26−ζ46ζ10+ζ14ζ10+ζ14ζ26+ζ46ζ26+ζ46ζ10+ζ14ζ10+ζ14ζ26+ζ46ζ26+ζ46−ζ10−ζ14−ζ10−ζ14−ζ26−ζ46−ζ26−ζ4600000000000000
χ332222-2-22-1-2-222-1-1-2-22-1-2-200001111−3−3−3−33333-1211-1-11111-100-222-1-111-1-1-1-1-21133−3−300003333−3−3−3−30000−3−3−3−33333−i2−i2i2i2i2i2−i2−i2ζ26+ζ46ζ26+ζ46ζ10+ζ14ζ10+ζ14−ζ26−ζ46−ζ26−ζ46−ζ10−ζ14−ζ10−ζ14−ζ26−ζ46−ζ26−ζ46−ζ10−ζ14−ζ10−ζ14ζ26+ζ46ζ26+ζ46ζ10+ζ14ζ10+ζ1400000000000000
χ342222-2-22-1-2-222-1-1-2-22-1-2-200001111−3−3−3−33333-1211-1-11111-100-222-1-111-1-1-1-1-21133−3−300003333−3−3−3−30000−3−3−3−33333i2i2−i2−i2−i2−i2i2i2−ζ26−ζ46−ζ26−ζ46−ζ10−ζ14−ζ10−ζ14ζ26+ζ46ζ26+ζ46ζ10+ζ14ζ10+ζ14ζ26+ζ46ζ26+ζ46ζ10+ζ14ζ10+ζ14−ζ26−ζ46−ζ26−ζ46−ζ10−ζ14−ζ10−ζ1400000000000000
χ352222-2-2-1222-1-12211-12112222222222222222-1-2-2-2-1-11111-1-2-2-111-2-2-1-11111-1-1-1-2-2-2-2111111111111-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000033−3−3−3−33300
χ362222-2-2-1222-1-12211-12112222222222222222-1-2-2-2-1-11111-1-2-2-111-2-2-1-11111-1-1-1-2-2-2-2111111111111-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000−3−33333−3−300
χ372222-2-2-1222-1-12211-1211-2-2-2-22222-2-2-2-2-2-2-2-2-1-2-2-2-1-11111-122-111-2-2-1-11111-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111111111110000000000000000000000002i2i−2i−2i−i−i−i−iiiii00
χ382222-2-2-1222-1-12211-1211-2-2-2-22222-2-2-2-2-2-2-2-2-1-2-2-2-1-11111-122-111-2-2-1-11111-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1111111111111000000000000000000000000−2i−2i2i2iiiii−i−i−i−i00
χ3922-2-22-222002-22-222-2-2-2-222−2−2000022−2−222−2−2202-22-222-2-2-22−2000000000000002−22−222−2−222−2−222−2−222−2−222−2−222−2−2−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−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−ζ43ζ11−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−ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ4300000000000000
χ4022-2-22-222002-22-222-2-2-2-222−2−2000022−2−222−2−2202-22-222-2-2-22−2000000000000002−22−222−2−222−2−222−2−222−2−222−2−222−2−2ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−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+ζ43−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+ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ4300000000000000
χ4122-2-22-222002-22-222-2-2-2-2−2−2220000−2−222−2−222202-22-222-2-2-2−2200000000000000−22−22−2−222−2−222−2−222−2−222−2−222−2−222ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−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+ζ47ζ25−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+ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ4700000000000000
χ4222-2-22-222002-22-222-2-2-2-2−2−2220000−2−222−2−222202-22-222-2-2-2−2200000000000000−22−22−2−222−2−222−2−222−2−222−2−222−2−222−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−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−ζ47−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−ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ4700000000000000
χ4322-2-22-22-1002-2-1122-21-2-222−2−23−33−3ζ10−ζ14ζ10−ζ14−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46−ζ26+ζ46−ζ26+ζ46-10-11-11-1-11112−20003−33−333−3−303−3ζ10−ζ14−ζ10+ζ14ζ26−ζ46−ζ26+ζ4622−2−2ζ10−ζ14ζ10−ζ14−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46−ζ26+ζ46−ζ26+ζ4622−2−2ζ10−ζ14ζ10−ζ14−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46−ζ26+ζ46−ζ26+ζ46−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ47−ζ25+ζ47−ζ31+ζ41ζ31−ζ41−ζ11+ζ13ζ11−ζ13ζ29−ζ43−ζ29+ζ43ζ25−ζ47−ζ25+ζ47−ζ31+ζ41ζ31−ζ41−ζ11+ζ13ζ11−ζ13ζ29−ζ43−ζ29+ζ4300000000000000
χ4422-2-22-22-1002-2-1122-21-2-222−2−23−33−3ζ10−ζ14ζ10−ζ14−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46−ζ26+ζ46−ζ26+ζ46-10-11-11-1-11112−20003−33−333−3−303−3ζ10−ζ14−ζ10+ζ14ζ26−ζ46−ζ26+ζ4622−2−2ζ10−ζ14ζ10−ζ14−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46−ζ26+ζ46−ζ26+ζ4622−2−2ζ10−ζ14ζ10−ζ14−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46−ζ26+ζ46−ζ26+ζ46ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ47ζ25−ζ47ζ31−ζ41−ζ31+ζ41ζ11−ζ13−ζ11+ζ13−ζ29+ζ43ζ29−ζ43−ζ25+ζ47ζ25−ζ47ζ31−ζ41−ζ31+ζ41ζ11−ζ13−ζ11+ζ13−ζ29+ζ43ζ29−ζ4300000000000000
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χ4622-2-22-22-1002-2-1122-21-2-222−2−2−33−33ζ26−ζ46ζ26−ζ46−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14−ζ10+ζ14−ζ10+ζ14-10-11-11-1-11112−2000−33−33−3−3330−33ζ26−ζ46−ζ26+ζ46ζ10−ζ14−ζ10+ζ1422−2−2ζ26−ζ46ζ26−ζ46−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14−ζ10+ζ14−ζ10+ζ1422−2−2ζ26−ζ46ζ26−ζ46−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14−ζ10+ζ14−ζ10+ζ14ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ31−ζ41−ζ31+ζ41−ζ25+ζ47ζ25−ζ47−ζ29+ζ43ζ29−ζ43ζ11−ζ13−ζ11+ζ13ζ31−ζ41−ζ31+ζ41−ζ25+ζ47ζ25−ζ47−ζ29+ζ43ζ29−ζ43ζ11−ζ13−ζ11+ζ1300000000000000
χ4722-2-22-22-1002-2-1122-21-2-2−2−2223−33−3−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ46-10-11-11-1-1111−220003−33−333−3−303−3−ζ10+ζ14ζ10−ζ14−ζ26+ζ46ζ26−ζ46−2−222−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ46−2−222−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ46ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13ζ11−ζ13ζ29−ζ43−ζ29+ζ43−ζ25+ζ47ζ25−ζ47ζ31−ζ41−ζ31+ζ41−ζ11+ζ13ζ11−ζ13ζ29−ζ43−ζ29+ζ43−ζ25+ζ47ζ25−ζ47ζ31−ζ41−ζ31+ζ4100000000000000
χ4822-2-22-22-1002-2-1122-21-2-2−2−2223−33−3−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ46-10-11-11-1-1111−220003−33−333−3−303−3−ζ10+ζ14ζ10−ζ14−ζ26+ζ46ζ26−ζ46−2−222−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ46−2−222−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ46−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ11+ζ13−ζ29+ζ43ζ29−ζ43ζ25−ζ47−ζ25+ζ47−ζ31+ζ41ζ31−ζ41ζ11−ζ13−ζ11+ζ13−ζ29+ζ43ζ29−ζ43ζ25−ζ47−ζ25+ζ47−ζ31+ζ41ζ31−ζ4100000000000000
χ4922-2-22-22-1002-2-1122-21-2-2−2−222−33−33−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ14-10-11-11-1-1111−22000−33−33−3−3330−33−ζ26+ζ46ζ26−ζ46−ζ10+ζ14ζ10−ζ14−2−222−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ14−2−222−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ14ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ29−ζ43−ζ29+ζ43−ζ11+ζ13ζ11−ζ13ζ31−ζ41−ζ31+ζ41−ζ25+ζ47ζ25−ζ47ζ29−ζ43−ζ29+ζ43−ζ11+ζ13ζ11−ζ13ζ31−ζ41−ζ31+ζ41−ζ25+ζ47ζ25−ζ4700000000000000
χ5022-2-22-22-1002-2-1122-21-2-2−2−222−33−33−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ14-10-11-11-1-1111−22000−33−33−3−3330−33−ζ26+ζ46ζ26−ζ46−ζ10+ζ14ζ10−ζ14−2−222−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ14−2−222−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ14−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ29+ζ43ζ29−ζ43ζ11−ζ13−ζ11+ζ13−ζ31+ζ41ζ31−ζ41ζ25−ζ47−ζ25+ζ47−ζ29+ζ43ζ29−ζ43ζ11−ζ13−ζ11+ζ13−ζ31+ζ41ζ31−ζ41ζ25−ζ47−ζ25+ζ4700000000000000
χ5122-2-2-2222002-22-2-2-2-2-22222−2−2000022−2−222−2−220-222-2-2-222-2−2200000000000000−22−22−2−222−2−222−2−22222−2−222−2−222−2−2−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ4300000000000000
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χ5422-2-2-2222002-22-2-2-2-2-222−2−2220000−2−222−2−22220-222-2-2-222-22−2000000000000002−22−222−2−222−2−222−2−2−2−222−2−222−2−222−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ4700000000000000
χ5522-2-2-222-1002-2-11-2-2-212222−2−23−33−3ζ10−ζ14ζ10−ζ14−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46−ζ26+ζ46−ζ26+ζ46-101-1-1111-1-11−22000−333−3−3−33303−3−ζ10+ζ14ζ10−ζ14−ζ26+ζ46ζ26−ζ46−2−222−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ4622−2−2ζ10−ζ14ζ10−ζ14−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46−ζ26+ζ46−ζ26+ζ46−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ47−ζ25−ζ47ζ31+ζ41−ζ31−ζ41ζ11+ζ13−ζ11−ζ13ζ29+ζ43−ζ29−ζ43−ζ25−ζ47ζ25+ζ47−ζ31−ζ41ζ31+ζ41−ζ11−ζ13ζ11+ζ13−ζ29−ζ43ζ29+ζ4300000000000000
χ5622-2-2-222-1002-2-11-2-2-212222−2−23−33−3ζ10−ζ14ζ10−ζ14−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46−ζ26+ζ46−ζ26+ζ46-101-1-1111-1-11−22000−333−3−3−33303−3−ζ10+ζ14ζ10−ζ14−ζ26+ζ46ζ26−ζ46−2−222−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ4622−2−2ζ10−ζ14ζ10−ζ14−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46−ζ26+ζ46−ζ26+ζ46ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ47ζ25+ζ47−ζ31−ζ41ζ31+ζ41−ζ11−ζ13ζ11+ζ13−ζ29−ζ43ζ29+ζ43ζ25+ζ47−ζ25−ζ47ζ31+ζ41−ζ31−ζ41ζ11+ζ13−ζ11−ζ13ζ29+ζ43−ζ29−ζ4300000000000000
χ5722-2-2-222-1002-2-11-2-2-212222−2−2−33−33ζ26−ζ46ζ26−ζ46−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14−ζ10+ζ14−ζ10+ζ14-101-1-1111-1-11−220003−3−3333−3−30−33−ζ26+ζ46ζ26−ζ46−ζ10+ζ14ζ10−ζ14−2−222−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ1422−2−2ζ26−ζ46ζ26−ζ46−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14−ζ10+ζ14−ζ10+ζ14−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ31+ζ41−ζ31−ζ41ζ25+ζ47−ζ25−ζ47ζ29+ζ43−ζ29−ζ43ζ11+ζ13−ζ11−ζ13−ζ31−ζ41ζ31+ζ41−ζ25−ζ47ζ25+ζ47−ζ29−ζ43ζ29+ζ43−ζ11−ζ13ζ11+ζ1300000000000000
χ5822-2-2-222-1002-2-11-2-2-212222−2−2−33−33ζ26−ζ46ζ26−ζ46−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14−ζ10+ζ14−ζ10+ζ14-101-1-1111-1-11−220003−3−3333−3−30−33−ζ26+ζ46ζ26−ζ46−ζ10+ζ14ζ10−ζ14−2−222−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ1422−2−2ζ26−ζ46ζ26−ζ46−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14−ζ10+ζ14−ζ10+ζ14ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ31−ζ41ζ31+ζ41−ζ25−ζ47ζ25+ζ47−ζ29−ζ43ζ29+ζ43−ζ11−ζ13ζ11+ζ13ζ31+ζ41−ζ31−ζ41ζ25+ζ47−ζ25−ζ47ζ29+ζ43−ζ29−ζ43ζ11+ζ13−ζ11−ζ1300000000000000
χ5922-2-2-222-1002-2-11-2-2-2122−2−2223−33−3−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ46-101-1-1111-1-112−2000−333−3−3−33303−3ζ10−ζ14−ζ10+ζ14ζ26−ζ46−ζ26+ζ4622−2−2ζ10−ζ14ζ10−ζ14−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46−ζ26+ζ46−ζ26+ζ46−2−222−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ46ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13ζ11+ζ13−ζ29−ζ43ζ29+ζ43ζ25+ζ47−ζ25−ζ47ζ31+ζ41−ζ31−ζ41ζ11+ζ13−ζ11−ζ13ζ29+ζ43−ζ29−ζ43−ζ25−ζ47ζ25+ζ47−ζ31−ζ41ζ31+ζ4100000000000000
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χ6122-2-2-222-1002-2-11-2-2-2122−2−222−33−33−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ14-101-1-1111-1-112−20003−3−3333−3−30−33ζ26−ζ46−ζ26+ζ46ζ10−ζ14−ζ10+ζ1422−2−2ζ26−ζ46ζ26−ζ46−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14−ζ10+ζ14−ζ10+ζ14−2−222−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ14ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ29−ζ43ζ29+ζ43−ζ11−ζ13ζ11+ζ13ζ31+ζ41−ζ31−ζ41ζ25+ζ47−ζ25−ζ47ζ29+ζ43−ζ29−ζ43ζ11+ζ13−ζ11−ζ13−ζ31−ζ41ζ31+ζ41−ζ25−ζ47ζ25+ζ4700000000000000
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χ1144-44-400-2-2002-22-22i3−2i322−2i32i32i2−2i2−2i22i2−232323−23−2ζ10−2ζ142ζ10+2ζ142ζ10+2ζ14−2ζ10−2ζ14−2ζ26−2ζ462ζ26+2ζ462ζ26+2ζ46−2ζ26−2ζ461000-11−i3i3i3−i3-100000003−3−3i3i3i−3i0−330000−666−6−ζ10+ζ14−2ζ26+2ζ46ζ10−ζ14+2ζ26−2ζ46ζ10−ζ14+2ζ26−2ζ46−ζ10+ζ14−2ζ26+2ζ462ζ10−2ζ14+ζ26−ζ46−2ζ10+2ζ14−ζ26+ζ46−2ζ10+2ζ14−ζ26+ζ462ζ10−2ζ14+ζ26−ζ46−i2i2i2−i2ζ10+ζ14−ζ10−ζ14−ζ10−ζ14ζ10+ζ14ζ26+ζ46−ζ26−ζ46−ζ26−ζ46ζ26+ζ4600000000000000000000000000000000000000
χ1154-4-440044-44-4-4-4-40044000000-4-444000000004000-4-40000400-40000-4-40000444000000000000000000000000000000000000000000000000000000000000000000
χ1164-4-44004-24-4-4-422004-2004i−4i4i−4i-2-222−2i2i−2i2i−2i2i−2i2i-2000220000-20040000-2-20000-42200000000000000004i−4i4i−4i−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000000000
χ1174-4-44004-24-4-4-422004-200−4i4i−4i4i-2-2222i−2i2i−2i2i−2i2i−2i-2000220000-20040000-2-20000-4220000000000000000−4i4i−4i4i2i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000000000
χ1184-4-44004-2-44-4-422004-200000022-2-2−2i32i3−2i32i32i3−2i32i3−2i3-2000220000-200-400002200004-2-200000000000000000000−2i32i3−2i32i32i3−2i32i3−2i300000000000000000000000000000000000000
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χ1204-4-4400-24-4422-4-4−2i32i3-24−2i32i30000-4-44400000000-200022−2i32i3−2i32i3-20022i3−2i300222i3−2i32i3−2i3-2-2-2000000000000000000000000000000000000000000000000000000000000000000
χ1214-4-4400-24-4422-4-42i3−2i3-242i3−2i30000-4-44400000000-2000222i3−2i32i3−2i3-2002−2i32i30022−2i32i3−2i32i3-2-2-2000000000000000000000000000000000000000000000000000000000000000000
χ1224-4-4400-2-24-42222−2i32i3-2-2−2i32i34i−4i4i−4i-2-222−2i2i−2i2i−2i2i−2i2i1000-1-1i3−i3i3−i3100-2−2i32i30011i3−i3i3−i32-1-1000023−2323−23−33−33−33−33−2i2i−2i2ii−ii−ii−ii−i00000000000000000000000000000000000000
χ1234-4-4400-2-24-42222−2i32i3-2-2−2i32i3−4i4i−4i4i-2-2222i−2i2i−2i2i−2i2i−2i1000-1-1i3−i3i3−i3100-2−2i32i30011i3−i3i3−i32-1-10000−2323−23233−33−33−33−32i−2i2i−2i−ii−ii−ii−ii00000000000000000000000000000000000000
χ1244-4-4400-2-24-422222i3−2i3-2-22i3−2i34i−4i4i−4i-2-222−2i2i−2i2i−2i2i−2i2i1000-1-1−i3i3−i3i3100-22i3−2i30011−i3i3−i3i32-1-10000−2323−23233−33−33−33−3−2i2i−2i2ii−ii−ii−ii−i00000000000000000000000000000000000000
χ1254-4-4400-2-24-422222i3−2i3-2-22i3−2i3−4i4i−4i4i-2-2222i−2i2i−2i2i−2i2i−2i1000-1-1−i3i3−i3i3100-22i3−2i30011−i3i3−i3i32-1-1000023−2323−23−33−33−33−332i−2i2i−2i−ii−ii−ii−ii00000000000000000000000000000000000000
χ1264-4-4400-2-2-442222−2i32i3-2-2−2i32i3000022-2-2−2i32i3−2i32i32i3−2i32i3−2i31000-1-1i3−i3i3−i310022i3−2i300-1-1−i3i3−i3i3-21100000000-33-333-33-30000i3−i3i3−i3−i3i3−i3i300000000000000000000000000000000000000
χ1274-4-4400-2-2-442222−2i32i3-2-2−2i32i3000022-2-22i3−2i32i3−2i3−2i32i3−2i32i31000-1-1i3−i3i3−i310022i3−2i300-1-1−i3i3−i3i3-211000000003-33-3-33-330000−i3i3−i3i3i3−i3i3−i300000000000000000000000000000000000000
χ1284-4-4400-2-2-4422222i3−2i3-2-22i3−2i3000022-2-2−2i32i3−2i32i32i3−2i32i3−2i31000-1-1−i3i3−i3i31002−2i32i300-1-1i3−i3i3−i3-211000000003-33-3-33-330000i3−i3i3−i3−i3i3−i3i300000000000000000000000000000000000000
χ1294-4-4400-2-2-4422222i3−2i3-2-22i3−2i3000022-2-22i3−2i32i3−2i3−2i32i3−2i32i31000-1-1−i3i3−i3i31002−2i32i300-1-1i3−i3i3−i3-21100000000-33-333-33-30000−i3i3−i3i3i3−i3i3−i300000000000000000000000000000000000000

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