Finite Group Databasebeta

← Group #13144223

Character table — Group #13144223

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size11111122222222222222222222266666666888888999999121212121212121212121212121212121212121212121212121212121818181818181818181818181818181818181818184848484848484848727272727272
order12336648812121616161624242424484848484848484833336666441212121244121212121212121224242424242424244848484848484848484848484848484826688161616162424242448484848484848481212121212121212226666
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-1
χ611111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-11-1-111
χ711111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-111
χ811111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111-111-1-1
χ92222222222222222222222222222-1-1-12-1-1-12222220000002-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000002-1-1-12-1-1-1000000
χ102222222222222222222222222222-1-1-12-1-1-1-2-2-2-2-2-20000002-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000-2111-2111000000
χ11222222222222222222222222222-12-1-1-12-1-1222222000000-12-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000000-12-1-1-12-1-1000000
χ12222222222222222222222222222-12-1-1-12-1-1-2-2-2-2-2-2000000-12-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000000001-2111-211000000
χ13222222222222222222222222222-1-12-1-1-12-1222222000000-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1000000000000000000000-1-12-1-1-12-1000000
χ14222222222222222222222222222-1-12-1-1-12-1-2-2-2-2-2-2000000-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-100000000000000000000011-2111-21000000
χ15222222222222222222222222222-1-1-12-1-1-12222222000000-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222000000000000000000000-1-1-12-1-1-12000000
χ16222222222222222222222222222-1-1-12-1-1-12-2-2-2-2-2-2000000-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222000000000000000000000111-2111-2000000
χ1722222222222-2-2-2-22222-2-2-2-2-2-2-2-22-1-1-12-1-1-12-222-2-20000002-1-1-122-1-1-1-1-1-1-2-2-2-21111111111110000000000000000000002-1-1-1-2111000000
χ1822222222222-2-2-2-22222-2-2-2-2-2-2-2-22-1-1-12-1-1-1-22-2-2220000002-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111000000000000000000000-21112-1-1-1000000
χ1922222222222-2-2-2-22222-2-2-2-2-2-2-2-2-12-1-1-12-1-12-222-2-2000000-12-1-1-1-122-1-1-1-11111-2-2-2-211111111000000000000000000000-12-1-11-211000000
χ2022222222222-2-2-2-22222-2-2-2-2-2-2-2-2-12-1-1-12-1-1-22-2-222000000-12-1-1-1-122-1-1-1-11111-2-2-2-2111111110000000000000000000001-211-12-1-1000000
χ2122222222222-2-2-2-22222-2-2-2-2-2-2-2-2-1-12-1-1-12-12-222-2-2000000-1-12-1-1-1-1-122-1-111111111-2-2-2-21111000000000000000000000-1-12-111-21000000
χ2222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-1-12-1-1-12-1-22-2-222000000-1-12-1-1-1-1-122-1-111111111-2-2-2-2111100000000000000000000011-21-1-12-1000000
χ2322222222222-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-12-1-1-122-222-2-2000000-1-1-12-1-1-1-1-1-122111111111111-2-2-2-2000000000000000000000-1-1-12111-2000000
χ2422222222222-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-12-1-1-12-22-2-222000000-1-1-12-1-1-1-1-1-122111111111111-2-2-2-2000000000000000000000111-2-1-1-12000000
χ252222222-2-2220000-2-2-2-200000000222222220000002222222222-2-2-2-2-2-2-2-20000000000000000222-2-20000-2-2-2-20000000000000000000000
χ262222222-2-2220000-2-2-2-20000000022222222000000-2-2-2-2-2-22222-2-2-2-2-2-2-2-20000000000000000-2-2-222000022220000000000000000000000
χ27222222-200-2-222−2−200002222−2−2−2−222222222000000222222-2-2-2-20000000022−2−222−2−222−2−222−2−2-2-2-20022−2−200002222−2−2−2−200000000000000
χ28222222-200-2-222−2−200002222−2−2−2−222222222000000-2-2-2-2-2-2-2-2-2-20000000022−2−222−2−222−2−222−2−222200−2−2220000−2−2−2−2222200000000000000
χ29222222-200-2-2−2−2220000−2−2−2−2222222222222000000222222-2-2-2-200000000−2−222−2−222−2−222−2−222-2-2-200−2−2220000−2−2−2−2222200000000000000
χ30222222-200-2-2−2−2220000−2−2−2−2222222222222000000-2-2-2-2-2-2-2-2-2-200000000−2−222−2−222−2−222−2−2222220022−2−200002222−2−2−2−200000000000000
χ312-222-2-202−200−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ4322−2−2−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ432222-2-2-2-20000002i−2i2i2i−2i−2i00002−22−22−22−2−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−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43000−i2i2ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−i2−i2i2i2ζ11+ζ13+ζ29+ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ25+ζ31+ζ41+ζ4700000000000000
χ322-222-2-202−200−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ4322−2−2−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ432222-2-2-2-2000000−2i2i−2i−2i2i2i00002−22−22−22−2−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−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43000i2−i2−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47i2i2−i2−i2−ζ11−ζ13−ζ29−ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ25−ζ31−ζ41−ζ4700000000000000
χ332-222-2-202−200ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ4322−2−2ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ432222-2-2-2-20000002i−2i2i2i−2i−2i00002−22−22−22−2ζ25−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+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43000−i2i2−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−i2−i2i2i2−ζ11−ζ13−ζ29−ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ25−ζ31−ζ41−ζ4700000000000000
χ342-222-2-202−200ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ4322−2−2ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ432222-2-2-2-2000000−2i2i−2i−2i2i2i00002−22−22−22−2ζ25−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+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43000i2−i2ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47i2i2−i2−i2ζ11+ζ13+ζ29+ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ25+ζ31+ζ41+ζ4700000000000000
χ352-222-2-20−2200ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−2−222ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ472222-2-2-2-20000002i−2i2i2i−2i−2i0000−22−22−22−22ζ11−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−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47000i2−i2−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43i2i2−i2−i2−ζ25−ζ31−ζ41−ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ11+ζ13+ζ29+ζ4300000000000000
χ362-222-2-20−2200ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−2−222ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ472222-2-2-2-2000000−2i2i−2i−2i2i2i0000−22−22−22−22ζ11−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−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47000−i2i2ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−i2−i2i2i2ζ25+ζ31+ζ41+ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ11−ζ13−ζ29−ζ4300000000000000
χ372-222-2-20−2200−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−2−222−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ472222-2-2-2-20000002i−2i2i2i−2i−2i0000−22−22−22−22−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−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47000i2−i2ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43i2i2−i2−i2ζ25+ζ31+ζ41+ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ11−ζ13−ζ29−ζ4300000000000000
χ382-222-2-20−2200−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−2−222−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ472222-2-2-2-2000000−2i2i−2i−2i2i2i0000−22−22−22−22−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−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47000−i2i2−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−i2−i2i2i2−ζ25−ζ31−ζ41−ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ11+ζ13+ζ29+ζ4300000000000000
χ3933−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i323333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i320000000033−3−3i32−3+3i32−3−3i32−3+3i3211−1−i32−1+i32−1−i32−1+i3200000000000000000000000000001−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i320000000011−1−i32−1+i32−1−i32−1+i32
χ4033−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i323333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i320000000033−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321−i321+i321−i320000000000000000000000000000-11+i321−i32-1-1-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i3200000000-1-11+i321−i321+i321−i32
χ4133−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i323333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3200000000-3-33+3i323−3i323+3i323−3i3211−1−i32−1+i32−1−i32−1+i3200000000000000000000000000001−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3200000000-1-11+i321−i321+i321−i32
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χ4633−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32-3-3-3-3−3−3i32−3+3i32−3−3i32−3+3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i3200000000-333+3i323−3i32−3−3i32−3+3i32-1-11+i321−i321+i321−i320000000000000000000000000000-11+i321−i32-1-111111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32000000001-1−1−i32−1+i321+i321−i32
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χ1026-6−3−3i3−3+3i33+3i33−3i30−323200−3ζ11+3ζ13+3ζ29−3ζ433ζ11−3ζ13−3ζ29+3ζ43−3ζ25+3ζ31−3ζ41+3ζ473ζ25−3ζ31+3ζ41−3ζ473ζ14−3ζ26−3ζ10+3ζ46−3ζ14+3ζ263ζ10−3ζ463ζ11−3ζ29−3ζ13+3ζ43−3ζ11+3ζ293ζ13−3ζ433ζ41−3ζ473ζ25−3ζ31−3ζ41+3ζ47−3ζ25+3ζ3100000000000000−2i2i−2ζ44−2ζ282ζ442ζ280000000000000000000000000000000−i2i2−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ14+ζ26ζ10+ζ46−ζ14−ζ26−ζ10−ζ46ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31ζ11+ζ29ζ13+ζ43−ζ11−ζ29−ζ13−ζ4300000000000000
χ1036-6−3+3i3−3−3i33−3i33+3i3032−3200−3ζ25+3ζ31−3ζ41+3ζ473ζ25−3ζ31+3ζ41−3ζ473ζ11−3ζ13−3ζ29+3ζ43−3ζ11+3ζ13+3ζ29−3ζ433ζ10−3ζ46−3ζ14+3ζ26−3ζ10+3ζ463ζ14−3ζ263ζ25−3ζ313ζ41−3ζ47−3ζ25+3ζ31−3ζ41+3ζ473ζ13−3ζ43−3ζ11+3ζ29−3ζ13+3ζ433ζ11−3ζ29000000000000002i−2i2ζ282ζ44−2ζ28−2ζ440000000000000000000000000000000−i2i2ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ10+ζ46ζ14+ζ26−ζ10−ζ46−ζ14−ζ26−ζ13−ζ43−ζ11−ζ29ζ13+ζ43ζ11+ζ29ζ25+ζ31ζ41+ζ47−ζ25−ζ31−ζ41−ζ4700000000000000
χ1046-6−3+3i3−3−3i33−3i33+3i3032−3200−3ζ25+3ζ31−3ζ41+3ζ473ζ25−3ζ31+3ζ41−3ζ473ζ11−3ζ13−3ζ29+3ζ43−3ζ11+3ζ13+3ζ29−3ζ433ζ10−3ζ46−3ζ14+3ζ26−3ζ10+3ζ463ζ14−3ζ263ζ25−3ζ313ζ41−3ζ47−3ζ25+3ζ31−3ζ41+3ζ473ζ13−3ζ43−3ζ11+3ζ29−3ζ13+3ζ433ζ11−3ζ2900000000000000−2i2i−2ζ28−2ζ442ζ282ζ440000000000000000000000000000000i2−i2−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ10−ζ46−ζ14−ζ26ζ10+ζ46ζ14+ζ26ζ13+ζ43ζ11+ζ29−ζ13−ζ43−ζ11−ζ29−ζ25−ζ31−ζ41−ζ47ζ25+ζ31ζ41+ζ4700000000000000
χ1056-6−3+3i3−3−3i33−3i33+3i3032−32003ζ25−3ζ31+3ζ41−3ζ47−3ζ25+3ζ31−3ζ41+3ζ47−3ζ11+3ζ13+3ζ29−3ζ433ζ11−3ζ13−3ζ29+3ζ433ζ10−3ζ46−3ζ14+3ζ26−3ζ10+3ζ463ζ14−3ζ26−3ζ25+3ζ31−3ζ41+3ζ473ζ25−3ζ313ζ41−3ζ47−3ζ13+3ζ433ζ11−3ζ293ζ13−3ζ43−3ζ11+3ζ29000000000000002i−2i2ζ282ζ44−2ζ28−2ζ440000000000000000000000000000000−i2i2−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ10+ζ46ζ14+ζ26−ζ10−ζ46−ζ14−ζ26ζ13+ζ43ζ11+ζ29−ζ13−ζ43−ζ11−ζ29−ζ25−ζ31−ζ41−ζ47ζ25+ζ31ζ41+ζ4700000000000000
χ1066-6−3+3i3−3−3i33−3i33+3i3032−32003ζ25−3ζ31+3ζ41−3ζ47−3ζ25+3ζ31−3ζ41+3ζ47−3ζ11+3ζ13+3ζ29−3ζ433ζ11−3ζ13−3ζ29+3ζ433ζ10−3ζ46−3ζ14+3ζ26−3ζ10+3ζ463ζ14−3ζ26−3ζ25+3ζ31−3ζ41+3ζ473ζ25−3ζ313ζ41−3ζ47−3ζ13+3ζ433ζ11−3ζ293ζ13−3ζ43−3ζ11+3ζ2900000000000000−2i2i−2ζ28−2ζ442ζ282ζ440000000000000000000000000000000i2−i2ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ10−ζ46−ζ14−ζ26ζ10+ζ46ζ14+ζ26−ζ13−ζ43−ζ11−ζ29ζ13+ζ43ζ11+ζ29ζ25+ζ31ζ41+ζ47−ζ25−ζ31−ζ41−ζ4700000000000000
χ1076-6−3+3i3−3−3i33−3i33+3i30−3232003ζ11−3ζ13−3ζ29+3ζ43−3ζ11+3ζ13+3ζ29−3ζ433ζ25−3ζ31+3ζ41−3ζ47−3ζ25+3ζ31−3ζ41+3ζ47−3ζ10+3ζ463ζ14−3ζ263ζ10−3ζ46−3ζ14+3ζ263ζ13−3ζ43−3ζ11+3ζ29−3ζ13+3ζ433ζ11−3ζ29−3ζ25+3ζ31−3ζ41+3ζ473ζ25−3ζ313ζ41−3ζ47000000000000002i−2i2ζ282ζ44−2ζ28−2ζ440000000000000000000000000000000i2−i2−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ10−ζ46−ζ14−ζ26ζ10+ζ46ζ14+ζ26ζ25+ζ31ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ13+ζ43ζ11+ζ29−ζ13−ζ43−ζ11−ζ2900000000000000
χ1086-6−3+3i3−3−3i33−3i33+3i30−3232003ζ11−3ζ13−3ζ29+3ζ43−3ζ11+3ζ13+3ζ29−3ζ433ζ25−3ζ31+3ζ41−3ζ47−3ζ25+3ζ31−3ζ41+3ζ47−3ζ10+3ζ463ζ14−3ζ263ζ10−3ζ46−3ζ14+3ζ263ζ13−3ζ43−3ζ11+3ζ29−3ζ13+3ζ433ζ11−3ζ29−3ζ25+3ζ31−3ζ41+3ζ473ζ25−3ζ313ζ41−3ζ4700000000000000−2i2i−2ζ28−2ζ442ζ282ζ440000000000000000000000000000000−i2i2ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ10+ζ46ζ14+ζ26−ζ10−ζ46−ζ14−ζ26−ζ25−ζ31−ζ41−ζ47ζ25+ζ31ζ41+ζ47−ζ13−ζ43−ζ11−ζ29ζ13+ζ43ζ11+ζ2900000000000000
χ1096-6−3+3i3−3−3i33−3i33+3i30−323200−3ζ11+3ζ13+3ζ29−3ζ433ζ11−3ζ13−3ζ29+3ζ43−3ζ25+3ζ31−3ζ41+3ζ473ζ25−3ζ31+3ζ41−3ζ47−3ζ10+3ζ463ζ14−3ζ263ζ10−3ζ46−3ζ14+3ζ26−3ζ13+3ζ433ζ11−3ζ293ζ13−3ζ43−3ζ11+3ζ293ζ25−3ζ313ζ41−3ζ47−3ζ25+3ζ31−3ζ41+3ζ47000000000000002i−2i2ζ282ζ44−2ζ28−2ζ440000000000000000000000000000000i2−i2ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ10−ζ46−ζ14−ζ26ζ10+ζ46ζ14+ζ26−ζ25−ζ31−ζ41−ζ47ζ25+ζ31ζ41+ζ47−ζ13−ζ43−ζ11−ζ29ζ13+ζ43ζ11+ζ2900000000000000
χ1106-6−3+3i3−3−3i33−3i33+3i30−323200−3ζ11+3ζ13+3ζ29−3ζ433ζ11−3ζ13−3ζ29+3ζ43−3ζ25+3ζ31−3ζ41+3ζ473ζ25−3ζ31+3ζ41−3ζ47−3ζ10+3ζ463ζ14−3ζ263ζ10−3ζ46−3ζ14+3ζ26−3ζ13+3ζ433ζ11−3ζ293ζ13−3ζ43−3ζ11+3ζ293ζ25−3ζ313ζ41−3ζ47−3ζ25+3ζ31−3ζ41+3ζ4700000000000000−2i2i−2ζ28−2ζ442ζ282ζ440000000000000000000000000000000−i2i2−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ10+ζ46ζ14+ζ26−ζ10−ζ46−ζ14−ζ26ζ25+ζ31ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ13+ζ43ζ11+ζ29−ζ13−ζ43−ζ11−ζ2900000000000000

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