Finite Group Databasebeta

← Group #11799400

Character table — Group #11799400

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size1122222224444444444444444448888888121212121212121212121212121212121212121212121212181836363648489696144144
order124881616161633661212242424244848484848484848122424484848482466881212161616162424242448484848484848482481616226688
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111
χ511111-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-11-11-11-1
χ611111-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-11-11-11
χ711111-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111-1-11-11-1-11
χ811111-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111-1-1-11-111-1
χ92222222222222222222222222222222222000000000000000000000000-2-2-2-2-2000000
χ1022222-2-2-2-22222222222-2-2-2-2-2-2-2-2222-2-2-2-2000000000000000000000000-2-2-222000000
χ11222-2-20000222222-2-2-2-2000000002-2-20000000000002i2i−2i−2i00002i2i2i2i−2i−2i−2i−2i-2-2200000000
χ12222-2-20000222222-2-2-2-2000000002-2-2000000000000−2i−2i2i2i0000−2i−2i−2i−2i2i2i2i2i-2-2200000000
χ13222-2-20000222222-2-2-2-2000000002-2-200002222-2-2220000-2-2-2-20000000022-200000000
χ14222-2-20000222222-2-2-2-2000000002-2-20000-2-2-2-222-2-2000022220000000022-200000000
χ1522-20022−2−22222-2-200002222−2−2−2−2-20022−2−200002i−2i00−i2i2−i2i22i2i−2i−2i−i2−i2i2i2−i2−i2i2i22-202−2000000
χ1622-20022−2−22222-2-200002222−2−2−2−2-20022−2−20000−2i2i00i2−i2i2−i2−2i−2i2i2ii2i2−i2−i2i2i2−i2−i22-202−2000000
χ1722-20022−2−22222-2-200002222−2−2−2−2-20022−2−22-22200-2-22−2−22000022−2−2−2−222-220−22000000
χ1822-20022−2−22222-2-200002222−2−2−2−2-20022−2−2-22-2-20022−222−20000−2−22222−2−2-220−22000000
χ1922-200−2−2222222-2-20000−2−2−2−22222-200−2−22200002i−2i00i2−i2i2−i22i2i−2i−2ii2i2−i2−i2i2i2−i2−i22-20−22000000
χ2022-200−2−2222222-2-20000−2−2−2−22222-200−2−2220000−2i2i00−i2i2−i2i2−2i−2i2i2i−i2−i2i2i2−i2−i2i2i22-20−22000000
χ2122-200−2−2222222-2-20000−2−2−2−22222-200−2−2222-22200-2-2−222−20000−2−22222−2−2-2202−2000000
χ2222-200−2−2222222-2-20000−2−2−2−22222-200−2−222-22-2-200222−2−22000022−2−2−2−222-2202−2000000
χ234444444441-2-2111111111111111-2-2-2-2-2-2-222-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000
χ244444444441-2-2111111111111111-2-2-2-2-2-2-2-2-211-2-211-2-2-2-211111111111100000000000
χ25444444444-211-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111110000000000000000000000000000022-1-100
χ26444444444-211-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111100000000000000000000000000000-2-21100
χ2744444-4-4-4-41-2-21111111-1-1-1-1-1-1-1-1-2-2-2222222-1-122-1-1-2-2-2-2-1-1-1-11111111100000000000
χ2844444-4-4-4-41-2-21111111-1-1-1-1-1-1-1-1-2-2-22222-2-211-2-21122221111-1-1-1-1-1-1-1-100000000000
χ2944444-4-4-4-4-211-2-2-2-2-2-2-222222222111-1-1-1-1000000000000000000000000000002-2-1100
χ3044444-4-4-4-4-211-2-2-2-2-2-2-222222222111-1-1-1-100000000000000000000000000000-221-100
χ31444-4-400001-2-2111-1-1-1-13i3i−3i−3i3i3i−3i−3i-222000022-1-1-2-2-1-12i2i−2i−2i1111−i−i−i−iiiii00000000000
χ32444-4-400001-2-2111-1-1-1-13i3i−3i−3i3i3i−3i−3i-2220000-2-2112211−2i−2i2i2i-1-1-1-1iiii−i−i−i−i00000000000
χ33444-4-400001-2-2111-1-1-1-1−3i−3i3i3i−3i−3i3i3i-222000022-1-1-2-2-1-1−2i−2i2i2i1111iiii−i−i−i−i00000000000
χ34444-4-400001-2-2111-1-1-1-1−3i−3i3i3i−3i−3i3i3i-2220000-2-21122112i2i−2i−2i-1-1-1-1−i−i−i−iiiii00000000000
χ3544-4002222−22−221-2-21-1-13i3i−3i−3i−2ζ10−ζ14−2ζ26−ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ46ζ10+2ζ14+ζ26+2ζ462ζ10+ζ14+2ζ26+ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46−ζ10−2ζ14−ζ26−2ζ46200−2−2222-2-1-12i−2i11−2ζ10−2ζ262ζ10+2ζ26−2ζ14−2ζ462ζ14+2ζ46−i−iiiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ4600000000000
χ3644-4002222−22−221-2-21-1-13i3i−3i−3i−2ζ10−ζ14−2ζ26−ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ46ζ10+2ζ14+ζ26+2ζ462ζ10+ζ14+2ζ26+ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46−ζ10−2ζ14−ζ26−2ζ46200−2−222-2211−2i2i-1-12ζ10+2ζ26−2ζ10−2ζ262ζ14+2ζ46−2ζ14−2ζ46ii−i−i−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ4600000000000
χ3744-4002222−22−221-2-21-1-1−3i−3i3i3iζ10+2ζ14+ζ26+2ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46−2ζ10−ζ14−2ζ26−ζ46−ζ10−2ζ14−ζ26−2ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ462ζ10+ζ14+2ζ26+ζ46200−2−2222-2-1-1−2i2i112ζ14+2ζ46−2ζ14−2ζ462ζ10+2ζ26−2ζ10−2ζ26ii−i−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ2600000000000
χ3844-4002222−22−221-2-21-1-1−3i−3i3i3iζ10+2ζ14+ζ26+2ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46−2ζ10−ζ14−2ζ26−ζ46−ζ10−2ζ14−ζ26−2ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ462ζ10+ζ14+2ζ26+ζ46200−2−222-22112i−2i-1-1−2ζ14−2ζ462ζ14+2ζ46−2ζ10−2ζ262ζ10+2ζ26−i−iiiζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ2600000000000
χ3944-400−22−2222221-2-21-1-13i3i−3i−3i2ζ10+ζ14+2ζ26+ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46−ζ10−2ζ14−ζ26−2ζ46−2ζ10−ζ14−2ζ26−ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ46ζ10+2ζ14+ζ26+2ζ4620022−2−22-2-1-12i−2i112ζ10+2ζ26−2ζ10−2ζ262ζ14+2ζ46−2ζ14−2ζ46−i−iii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ4600000000000
χ4044-400−22−2222221-2-21-1-13i3i−3i−3i2ζ10+ζ14+2ζ26+ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46−ζ10−2ζ14−ζ26−2ζ46−2ζ10−ζ14−2ζ26−ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ46ζ10+2ζ14+ζ26+2ζ4620022−2−2-2211−2i2i-1-1−2ζ10−2ζ262ζ10+2ζ26−2ζ14−2ζ462ζ14+2ζ46ii−i−iζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ4600000000000
χ4144-400−22−2222221-2-21-1-1−3i−3i3i3i−ζ10−2ζ14−ζ26−2ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ462ζ10+ζ14+2ζ26+ζ46ζ10+2ζ14+ζ26+2ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46−2ζ10−ζ14−2ζ26−ζ4620022−2−22-2-1-1−2i2i11−2ζ14−2ζ462ζ14+2ζ46−2ζ10−2ζ262ζ10+2ζ26ii−i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ2600000000000
χ4244-400−22−2222221-2-21-1-1−3i−3i3i3i−ζ10−2ζ14−ζ26−2ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ462ζ10+ζ14+2ζ26+ζ46ζ10+2ζ14+ζ26+2ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46−2ζ10−ζ14−2ζ26−ζ4620022−2−2-22112i−2i-1-12ζ14+2ζ46−2ζ14−2ζ462ζ10+2ζ26−2ζ10−2ζ26−i−iii−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ2600000000000
χ434-4022−22−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ431-22-13i−3i−ζ10−2ζ14−ζ26−2ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ462ζ10+ζ14+2ζ26+ζ46−2ζ25−ζ31−2ζ41−ζ472ζ25+ζ31+2ζ41+ζ47−ζ25−2ζ31−ζ41−2ζ47ζ25+2ζ31+ζ41+2ζ47ζ11+2ζ13+2ζ29+ζ43−ζ11−2ζ13−2ζ29−ζ432ζ11+ζ13+ζ29+2ζ43−2ζ11−ζ13−ζ29−2ζ4302−2−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ4300−i3i3003−30000−ζ14+ζ46ζ14−ζ46ζ10−ζ26−ζ10+ζ26−ζ25+ζ41ζ25−ζ41ζ13−ζ29−ζ13+ζ29−ζ11+ζ43ζ11−ζ43−ζ31+ζ47ζ31−ζ4700000000000
χ444-4022−22−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ431-22-13i−3i−ζ10−2ζ14−ζ26−2ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ462ζ10+ζ14+2ζ26+ζ46−2ζ25−ζ31−2ζ41−ζ472ζ25+ζ31+2ζ41+ζ47−ζ25−2ζ31−ζ41−2ζ47ζ25+2ζ31+ζ41+2ζ47ζ11+2ζ13+2ζ29+ζ43−ζ11−2ζ13−2ζ29−ζ432ζ11+ζ13+ζ29+2ζ43−2ζ11−ζ13−ζ29−2ζ4302−2−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ4300i3−i300−330000ζ14−ζ46−ζ14+ζ46−ζ10+ζ26ζ10−ζ26ζ25−ζ41−ζ25+ζ41−ζ13+ζ29ζ13−ζ29ζ11−ζ43−ζ11+ζ43ζ31−ζ47−ζ31+ζ4700000000000
χ454-4022−22−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ431-22-1−3i3i2ζ10+ζ14+2ζ26+ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ46−ζ10−2ζ14−ζ26−2ζ46ζ25+2ζ31+ζ41+2ζ47−ζ25−2ζ31−ζ41−2ζ472ζ25+ζ31+2ζ41+ζ47−2ζ25−ζ31−2ζ41−ζ47−2ζ11−ζ13−ζ29−2ζ432ζ11+ζ13+ζ29+2ζ43−ζ11−2ζ13−2ζ29−ζ43ζ11+2ζ13+2ζ29+ζ4302−2−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ4300−i3i300−330000−ζ10+ζ26ζ10−ζ26ζ14−ζ46−ζ14+ζ46ζ31−ζ47−ζ31+ζ47ζ11−ζ43−ζ11+ζ43−ζ13+ζ29ζ13−ζ29ζ25−ζ41−ζ25+ζ4100000000000
χ464-4022−22−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ431-22-1−3i3i2ζ10+ζ14+2ζ26+ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ46−ζ10−2ζ14−ζ26−2ζ46ζ25+2ζ31+ζ41+2ζ47−ζ25−2ζ31−ζ41−2ζ472ζ25+ζ31+2ζ41+ζ47−2ζ25−ζ31−2ζ41−ζ47−2ζ11−ζ13−ζ29−2ζ432ζ11+ζ13+ζ29+2ζ43−ζ11−2ζ13−2ζ29−ζ43ζ11+2ζ13+2ζ29+ζ4302−2−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ4300i3−i3003−30000ζ10−ζ26−ζ10+ζ26−ζ14+ζ46ζ14−ζ46−ζ31+ζ47ζ31−ζ47−ζ11+ζ43ζ11−ζ43ζ13−ζ29−ζ13+ζ29−ζ25+ζ41ζ25−ζ4100000000000
χ474-4022−22−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ4344-4-400−222222−22−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ430−22222ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ4300000000000000000000000000000000000
χ484-4022−222ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ431-22-13i−3i−ζ10−2ζ14−ζ26−2ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ462ζ10+ζ14+2ζ26+ζ462ζ25+ζ31+2ζ41+ζ47−2ζ25−ζ31−2ζ41−ζ47ζ25+2ζ31+ζ41+2ζ47−ζ25−2ζ31−ζ41−2ζ47−ζ11−2ζ13−2ζ29−ζ43ζ11+2ζ13+2ζ29+ζ43−2ζ11−ζ13−ζ29−2ζ432ζ11+ζ13+ζ29+2ζ4302−2ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ4300−i3i3003−30000−ζ14+ζ46ζ14−ζ46ζ10−ζ26−ζ10+ζ26ζ25−ζ41−ζ25+ζ41−ζ13+ζ29ζ13−ζ29ζ11−ζ43−ζ11+ζ43ζ31−ζ47−ζ31+ζ4700000000000
χ494-4022−222ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ431-22-13i−3i−ζ10−2ζ14−ζ26−2ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ462ζ10+ζ14+2ζ26+ζ462ζ25+ζ31+2ζ41+ζ47−2ζ25−ζ31−2ζ41−ζ47ζ25+2ζ31+ζ41+2ζ47−ζ25−2ζ31−ζ41−2ζ47−ζ11−2ζ13−2ζ29−ζ43ζ11+2ζ13+2ζ29+ζ43−2ζ11−ζ13−ζ29−2ζ432ζ11+ζ13+ζ29+2ζ4302−2ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ4300i3−i300−330000ζ14−ζ46−ζ14+ζ46−ζ10+ζ26ζ10−ζ26−ζ25+ζ41ζ25−ζ41ζ13−ζ29−ζ13+ζ29−ζ11+ζ43ζ11−ζ43−ζ31+ζ47ζ31−ζ4700000000000
χ504-4022−222ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ431-22-1−3i3i2ζ10+ζ14+2ζ26+ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ46−ζ10−2ζ14−ζ26−2ζ46−ζ25−2ζ31−ζ41−2ζ47ζ25+2ζ31+ζ41+2ζ47−2ζ25−ζ31−2ζ41−ζ472ζ25+ζ31+2ζ41+ζ472ζ11+ζ13+ζ29+2ζ43−2ζ11−ζ13−ζ29−2ζ43ζ11+2ζ13+2ζ29+ζ43−ζ11−2ζ13−2ζ29−ζ4302−2ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ4300−i3i300−330000−ζ10+ζ26ζ10−ζ26ζ14−ζ46−ζ14+ζ46−ζ31+ζ47ζ31−ζ47−ζ11+ζ43ζ11−ζ43ζ13−ζ29−ζ13+ζ29−ζ25+ζ41ζ25−ζ4100000000000
χ514-4022−222ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ431-22-1−3i3i2ζ10+ζ14+2ζ26+ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ46−ζ10−2ζ14−ζ26−2ζ46−ζ25−2ζ31−ζ41−2ζ47ζ25+2ζ31+ζ41+2ζ47−2ζ25−ζ31−2ζ41−ζ472ζ25+ζ31+2ζ41+ζ472ζ11+ζ13+ζ29+2ζ43−2ζ11−ζ13−ζ29−2ζ43ζ11+2ζ13+2ζ29+ζ43−ζ11−2ζ13−2ζ29−ζ4302−2ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ4300i3−i3003−30000ζ10−ζ26−ζ10+ζ26−ζ14+ζ46ζ14−ζ46ζ31−ζ47−ζ31+ζ47ζ11−ζ43−ζ11+ζ43−ζ13+ζ29ζ13−ζ29ζ25−ζ41−ζ25+ζ4100000000000
χ524-4022−222ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ4344-4-400−222222−222ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ430−2222−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ4300000000000000000000000000000000000
χ534-40−22222ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ471-22-13i−3iζ10+2ζ14+ζ26+2ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46−2ζ10−ζ14−2ζ26−ζ46−ζ11−2ζ13−2ζ29−ζ43ζ11+2ζ13+2ζ29+ζ43−2ζ11−ζ13−ζ29−2ζ432ζ11+ζ13+ζ29+2ζ43−2ζ25−ζ31−2ζ41−ζ472ζ25+ζ31+2ζ41+ζ47−ζ25−2ζ31−ζ41−2ζ47ζ25+2ζ31+ζ41+2ζ470−22ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ4700−i3i3003−30000ζ14−ζ46−ζ14+ζ46−ζ10+ζ26ζ10−ζ26−ζ13+ζ29ζ13−ζ29−ζ25+ζ41ζ25−ζ41−ζ31+ζ47ζ31−ζ47ζ11−ζ43−ζ11+ζ4300000000000
χ544-40−22222ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ471-22-13i−3iζ10+2ζ14+ζ26+2ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46−2ζ10−ζ14−2ζ26−ζ46−ζ11−2ζ13−2ζ29−ζ43ζ11+2ζ13+2ζ29+ζ43−2ζ11−ζ13−ζ29−2ζ432ζ11+ζ13+ζ29+2ζ43−2ζ25−ζ31−2ζ41−ζ472ζ25+ζ31+2ζ41+ζ47−ζ25−2ζ31−ζ41−2ζ47ζ25+2ζ31+ζ41+2ζ470−22ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ4700i3−i300−330000−ζ14+ζ46ζ14−ζ46ζ10−ζ26−ζ10+ζ26ζ13−ζ29−ζ13+ζ29ζ25−ζ41−ζ25+ζ41ζ31−ζ47−ζ31+ζ47−ζ11+ζ43ζ11−ζ4300000000000
χ554-40−22222ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ471-22-1−3i3i−2ζ10−ζ14−2ζ26−ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46ζ10+2ζ14+ζ26+2ζ462ζ11+ζ13+ζ29+2ζ43−2ζ11−ζ13−ζ29−2ζ43ζ11+2ζ13+2ζ29+ζ43−ζ11−2ζ13−2ζ29−ζ43ζ25+2ζ31+ζ41+2ζ47−ζ25−2ζ31−ζ41−2ζ472ζ25+ζ31+2ζ41+ζ47−2ζ25−ζ31−2ζ41−ζ470−22ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ4700−i3i300−330000ζ10−ζ26−ζ10+ζ26−ζ14+ζ46ζ14−ζ46−ζ11+ζ43ζ11−ζ43ζ31−ζ47−ζ31+ζ47ζ25−ζ41−ζ25+ζ41ζ13−ζ29−ζ13+ζ2900000000000
χ564-40−22222ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ471-22-1−3i3i−2ζ10−ζ14−2ζ26−ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46ζ10+2ζ14+ζ26+2ζ462ζ11+ζ13+ζ29+2ζ43−2ζ11−ζ13−ζ29−2ζ43ζ11+2ζ13+2ζ29+ζ43−ζ11−2ζ13−2ζ29−ζ43ζ25+2ζ31+ζ41+2ζ47−ζ25−2ζ31−ζ41−2ζ472ζ25+ζ31+2ζ41+ζ47−2ζ25−ζ31−2ζ41−ζ470−22ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ4700i3−i3003−30000−ζ10+ζ26ζ10−ζ26ζ14−ζ46−ζ14+ζ46ζ11−ζ43−ζ11+ζ43−ζ31+ζ47ζ31−ζ47−ζ25+ζ41ζ25−ζ41−ζ13+ζ29ζ13−ζ2900000000000
χ574-40−22222ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ4744-4-40022−22−22222ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47022−22−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ4700000000000000000000000000000000000
χ584-40−2222−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ471-22-13i−3iζ10+2ζ14+ζ26+2ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46−2ζ10−ζ14−2ζ26−ζ46ζ11+2ζ13+2ζ29+ζ43−ζ11−2ζ13−2ζ29−ζ432ζ11+ζ13+ζ29+2ζ43−2ζ11−ζ13−ζ29−2ζ432ζ25+ζ31+2ζ41+ζ47−2ζ25−ζ31−2ζ41−ζ47ζ25+2ζ31+ζ41+2ζ47−ζ25−2ζ31−ζ41−2ζ470−22−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ4700−i3i3003−30000ζ14−ζ46−ζ14+ζ46−ζ10+ζ26ζ10−ζ26ζ13−ζ29−ζ13+ζ29ζ25−ζ41−ζ25+ζ41ζ31−ζ47−ζ31+ζ47−ζ11+ζ43ζ11−ζ4300000000000
χ594-40−2222−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ471-22-13i−3iζ10+2ζ14+ζ26+2ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46−2ζ10−ζ14−2ζ26−ζ46ζ11+2ζ13+2ζ29+ζ43−ζ11−2ζ13−2ζ29−ζ432ζ11+ζ13+ζ29+2ζ43−2ζ11−ζ13−ζ29−2ζ432ζ25+ζ31+2ζ41+ζ47−2ζ25−ζ31−2ζ41−ζ47ζ25+2ζ31+ζ41+2ζ47−ζ25−2ζ31−ζ41−2ζ470−22−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ4700i3−i300−330000−ζ14+ζ46ζ14−ζ46ζ10−ζ26−ζ10+ζ26−ζ13+ζ29ζ13−ζ29−ζ25+ζ41ζ25−ζ41−ζ31+ζ47ζ31−ζ47ζ11−ζ43−ζ11+ζ4300000000000
χ604-40−2222−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ471-22-1−3i3i−2ζ10−ζ14−2ζ26−ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ11−ζ13−ζ29−2ζ432ζ11+ζ13+ζ29+2ζ43−ζ11−2ζ13−2ζ29−ζ43ζ11+2ζ13+2ζ29+ζ43−ζ25−2ζ31−ζ41−2ζ47ζ25+2ζ31+ζ41+2ζ47−2ζ25−ζ31−2ζ41−ζ472ζ25+ζ31+2ζ41+ζ470−22−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ4700−i3i300−330000ζ10−ζ26−ζ10+ζ26−ζ14+ζ46ζ14−ζ46ζ11−ζ43−ζ11+ζ43−ζ31+ζ47ζ31−ζ47−ζ25+ζ41ζ25−ζ41−ζ13+ζ29ζ13−ζ2900000000000
χ614-40−2222−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ471-22-1−3i3i−2ζ10−ζ14−2ζ26−ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ11−ζ13−ζ29−2ζ432ζ11+ζ13+ζ29+2ζ43−ζ11−2ζ13−2ζ29−ζ43ζ11+2ζ13+2ζ29+ζ43−ζ25−2ζ31−ζ41−2ζ47ζ25+2ζ31+ζ41+2ζ47−2ζ25−ζ31−2ζ41−ζ472ζ25+ζ31+2ζ41+ζ470−22−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ4700i3−i3003−30000−ζ10+ζ26ζ10−ζ26ζ14−ζ46−ζ14+ζ46−ζ11+ζ43ζ11−ζ43ζ31−ζ47−ζ31+ζ47ζ25−ζ41−ζ25+ζ41ζ13−ζ29−ζ13+ζ2900000000000
χ624-40−2222−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ4744-4-40022−22−2222−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47022−222ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ4700000000000000000000000000000000000
χ63888-8-80000-422-4-4-44444000000002-2-2000000000000000000000000000000000000000
χ6488-8004242−42−42-422-4440000−22−22−22−2222222222-20022−2−200000000000000000000000000000000000
χ6588-800−42−424242-422-444000022222222−22−22−22−22-200−2−22200000000000000000000000000000000000
χ668-8042−42−4ζ25+4ζ31−4ζ41+4ζ474ζ25−4ζ31+4ζ41−4ζ474ζ11−4ζ13−4ζ29+4ζ43−4ζ11+4ζ13+4ζ29−4ζ43-42-240022−22−22222ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ430−22ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ4300000000000000000000000000000000000
χ678-8042−424ζ25−4ζ31+4ζ41−4ζ47−4ζ25+4ζ31−4ζ41+4ζ47−4ζ11+4ζ13+4ζ29−4ζ434ζ11−4ζ13−4ζ29+4ζ43-42-240022−22−2222−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ430−22−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ4300000000000000000000000000000000000
χ688-80−42424ζ11−4ζ13−4ζ29+4ζ43−4ζ11+4ζ13+4ζ29−4ζ434ζ25−4ζ31+4ζ41−4ζ47−4ζ25+4ζ31−4ζ41+4ζ47-42-2400−222222−22−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ4702−2−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ4700000000000000000000000000000000000
χ698-80−4242−4ζ11+4ζ13+4ζ29−4ζ434ζ11−4ζ13−4ζ29+4ζ43−4ζ25+4ζ31−4ζ41+4ζ474ζ25−4ζ31+4ζ41−4ζ47-42-2400−222222−222ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ4702−2ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ4700000000000000000000000000000000000

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