Finite Group Databasebeta

← Group #13166644

Character table — Group #13166644

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size112224444888888991818181818181818181818242424244848484811222444488888899181818181818181818181824242424484848481122244448888889918181818181818181818182424242448484848
order124883366121224242424442881616161616161616224466121236122424336612122424242412126242448484848484848486612126612123612242433661212242424241212624244848484848484848661212661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-11-11-11-11-111111111111111111111-1-1-1-1-1-1-1-11-11-11-11-111111111111111111111-1-1-1-1-1-1-1-11-11-11-11-1
χ411111111111111111111-1-1-1-1-1-1-1-1-11-11-11-1111111111111111111111-1-1-1-1-1-1-1-1-11-11-11-1111111111111111111111-1-1-1-1-1-1-1-1-11-11-11-11
χ5111-1-1111111-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1111-1-1111111-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1111-1-1111111-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1
χ6111-1-1111111-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111111-1-1111111-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111111-1-1111111-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111
χ7111-1-1111111-1-1-1-1-1-1-111-1-1-1-111111-1-111-1-11111-1-1111111-1-1-1-1-1-1-111-1-1-1-111111-1-111-1-11111-1-1111111-1-1-1-1-1-1-111-1-1-1-111111-1-111-1-11
χ8111-1-1111111-1-1-1-1-1-1-111-1-1-1-11111-111-1-111-1111-1-1111111-1-1-1-1-1-1-111-1-1-1-11111-111-1-111-1111-1-1111111-1-1-1-1-1-1-111-1-1-1-11111-111-1-111-1
χ9222222222222222-2-2-2-2-20000000000000000222222222222222-2-2-2-2-20000000000000000222222222222222-2-2-2-2-20000000000000000
χ10222-2-2222222-2-2-2-2222-2-20000000000000000222-2-2222222-2-2-2-2222-2-20000000000000000222-2-2222222-2-2-2-2222-2-20000000000000000
χ1122-2002222-2-2000022-20022−2−222−2−20000000022-2002222-2-2000022-20022−2−222−2−20000000022-2002222-2-2000022-20022−2−222−2−200000000
χ1222-2002222-2-2000022-200−2−222−2−2220000000022-2002222-2-2000022-200−2−222−2−2220000000022-2002222-2-2000022-200−2−222−2−22200000000
χ1322-2002222-2-20000-2-220022−2−2−2−2220000000022-2002222-2-20000-2-220022−2−2−2−2220000000022-2002222-2-20000-2-220022−2−2−2−22200000000
χ1422-2002222-2-20000-2-2200−2−22222−2−20000000022-2002222-2-20000-2-2200−2−22222−2−20000000022-2002222-2-20000-2-2200−2−22222−2−200000000
χ152-20i2−i222-2-200i2i2−i2−i22i−2i02−2ζ11−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−ζ43000000002-20i2−i222-2-200i2i2−i2−i22i−2i02−2ζ11−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−ζ43000000002-20i2−i222-2-200i2i2−i2−i22i−2i02−2ζ11−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−ζ4300000000
χ162-20i2−i222-2-200i2i2−i2−i22i−2i02−2−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+ζ43000000002-20i2−i222-2-200i2i2−i2−i22i−2i02−2−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+ζ43000000002-20i2−i222-2-200i2i2−i2−i22i−2i02−2−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+ζ4300000000
χ172-20i2−i222-2-200i2i2−i2−i2−2i2i0−22−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+ζ47000000002-20i2−i222-2-200i2i2−i2−i2−2i2i0−22−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+ζ47000000002-20i2−i222-2-200i2i2−i2−i2−2i2i0−22−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+ζ4700000000
χ182-20i2−i222-2-200i2i2−i2−i2−2i2i0−22ζ25−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−ζ47000000002-20i2−i222-2-200i2i2−i2−i2−2i2i0−22ζ25−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−ζ47000000002-20i2−i222-2-200i2i2−i2−i2−2i2i0−22ζ25−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−ζ4700000000
χ192-20−i2i222-2-200−i2−i2i2i22i−2i0−22−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47000000002-20−i2i222-2-200−i2−i2i2i22i−2i0−22−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47000000002-20−i2i222-2-200−i2−i2i2i22i−2i0−22−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ4700000000
χ202-20−i2i222-2-200−i2−i2i2i22i−2i0−22ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47000000002-20−i2i222-2-200−i2−i2i2i22i−2i0−22ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47000000002-20−i2i222-2-200−i2−i2i2i22i−2i0−22ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ4700000000
χ212-20−i2i222-2-200−i2−i2i2i2−2i2i02−2ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43000000002-20−i2i222-2-200−i2−i2i2i2−2i2i02−2ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43000000002-20−i2i222-2-200−i2−i2i2i2−2i2i02−2ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ4300000000
χ222-20−i2i222-2-200−i2−i2i2i2−2i2i02−2−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43000000002-20−i2i222-2-200−i2−i2i2i2−2i2i02−2−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43000000002-20−i2i222-2-200−i2−i2i2i2−2i2i02−2−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ4300000000
χ23444441-21-21-21-21-2000000000000002020-10-1444441-21-21-21-21-2000000000000002020-10-1444441-21-21-21-21-2000000000000002020-10-1
χ24444441-21-21-21-21-200000000000000-20-20101444441-21-21-21-21-200000000000000-20-20101444441-21-21-21-21-200000000000000-20-20101
χ2544444-21-21-21-21-2100000000000002020-10-1044444-21-21-21-21-2100000000000002020-10-1044444-21-21-21-21-2100000000000002020-10-10
χ2644444-21-21-21-21-210000000000000-20-20101044444-21-21-21-21-210000000000000-20-20101044444-21-21-21-21-210000000000000-20-201010
χ27444-4-41-21-21-2-12-120000000000000020-20-101444-4-41-21-21-2-12-120000000000000020-20-101444-4-41-21-21-2-12-120000000000000020-20-101
χ28444-4-41-21-21-2-12-1200000000000000-202010-1444-4-41-21-21-2-12-1200000000000000-202010-1444-4-41-21-21-2-12-1200000000000000-202010-1
χ29444-4-4-21-21-212-12-1000000000000020-20-1010444-4-4-21-21-212-12-1000000000000020-20-1010444-4-4-21-21-212-12-1000000000000020-20-1010
χ30444-4-4-21-21-212-12-10000000000000-202010-10444-4-4-21-21-212-12-10000000000000-202010-10444-4-4-21-21-212-12-10000000000000-202010-10
χ3188-8002-42-4-24000000000000000000000000088-8002-42-4-24000000000000000000000000088-8002-42-4-240000000000000000000000000
χ3288-800-42-424-2000000000000000000000000088-800-42-424-2000000000000000000000000088-800-42-424-20000000000000000000000000
χ338-804i2−4i22-4-2400i2−2i2−i22i20000000000000000000008-804i2−4i22-4-2400i2−2i2−i22i20000000000000000000008-804i2−4i22-4-2400i2−2i2−i22i2000000000000000000000
χ348-804i2−4i2-424-200−2i2i22i2−i20000000000000000000008-804i2−4i2-424-200−2i2i22i2−i20000000000000000000008-804i2−4i2-424-200−2i2i22i2−i2000000000000000000000
χ358-80−4i24i22-4-2400−i22i2i2−2i20000000000000000000008-80−4i24i22-4-2400−i22i2i2−2i20000000000000000000008-80−4i24i22-4-2400−i22i2i2−2i2000000000000000000000
χ368-80−4i24i2-424-2002i2−i2−2i2i20000000000000000000008-80−4i24i2-424-2002i2−i2−2i2i20000000000000000000008-80−4i24i2-424-2002i2−i2−2i2i2000000000000000000000
χ37111111111111111111111111111111111111−1+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−i32−1−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
χ381111111111111111111111111111-1-1-1-1-1-1-1-1−1+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+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−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−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ3911111111111111111111-1-1-1-1-1-1-1-11-11-11-11-1−1+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+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+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−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32
χ4011111111111111111111-1-1-1-1-1-1-1-1-11-11-11-11−1+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−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+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+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32
χ41111-1-1111111-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ42111-1-1111111-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ43111-1-1111111-1-1-1-1-1-1-111-1-1-1-111111-1-111-1-11−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32
χ44111-1-1111111-1-1-1-1-1-1-111-1-1-1-11111-111-1-111-1−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32
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χ77111-1-1111111-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ78111-1-1111111-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ79111-1-1111111-1-1-1-1-1-1-111-1-1-1-111111-1-111-1-11−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32
χ80111-1-1111111-1-1-1-1-1-1-111-1-1-1-11111-111-1-111-1−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32
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χ101444-4-4-21-21-212-12-1000000000000020-20-1010−2−2i3−2−2i3−2−2i32+2i32+2i31+i3−1−i321+i3−1−i321+i3−1−i32−1−i31+i32−1−i31+i320000000000000−1−i301+i301+i320−1−i320−2+2i3−2+2i3−2+2i32−2i32−2i31−i3−1+i321−i3−1+i321−i3−1+i32−1+i31−i32−1+i31−i320000000000000−1+i301−i301−i320−1+i320
χ102444-4-4-21-21-212-12-10000000000000-202010-10−2−2i3−2−2i3−2−2i32+2i32+2i31+i3−1−i321+i3−1−i321+i3−1−i32−1−i31+i32−1−i31+i3200000000000001+i30−1−i30−1−i3201+i320−2+2i3−2+2i3−2+2i32−2i32−2i31−i3−1+i321−i3−1+i321−i3−1+i32−1+i31−i32−1+i31−i3200000000000001−i30−1+i30−1+i3201−i320
χ10388-8002-42-4-240000000000000000000000000−4−4i3−4−4i34+4i300−1−i32+2i3−1−i32+2i31+i3−2−2i30000000000000000000000000−4+4i3−4+4i34−4i300−1+i32−2i3−1+i32−2i31−i3−2+2i30000000000000000000000000
χ10488-800-42-424-20000000000000000000000000−4−4i3−4−4i34+4i3002+2i3−1−i32+2i3−1−i3−2−2i31+i30000000000000000000000000−4+4i3−4+4i34−4i3002−2i3−1+i32−2i3−1+i3−2+2i31−i30000000000000000000000000
χ1058-804i2−4i22-4-2400i2−2i2−i22i2000000000000000000000−4−4i34+4i30−4ζ14−4ζ264ζ14+4ζ26−1−i32+2i31+i3−2−2i300−ζ14−ζ262ζ14+2ζ26ζ14+ζ26−2ζ14−2ζ26000000000000000000000−4+4i34−4i30−4ζ10−4ζ464ζ10+4ζ46−1+i32−2i31−i3−2+2i300−ζ10−ζ462ζ10+2ζ46ζ10+ζ46−2ζ10−2ζ46000000000000000000000
χ1068-804i2−4i2-424-200−2i2i22i2−i2000000000000000000000−4−4i34+4i30−4ζ14−4ζ264ζ14+4ζ262+2i3−1−i3−2−2i31+i3002ζ14+2ζ26−ζ14−ζ26−2ζ14−2ζ26ζ14+ζ26000000000000000000000−4+4i34−4i30−4ζ10−4ζ464ζ10+4ζ462−2i3−1+i3−2+2i31−i3002ζ10+2ζ46−ζ10−ζ46−2ζ10−2ζ46ζ10+ζ46000000000000000000000
χ1078-80−4i24i22-4-2400−i22i2i2−2i2000000000000000000000−4−4i34+4i304ζ14+4ζ26−4ζ14−4ζ26−1−i32+2i31+i3−2−2i300ζ14+ζ26−2ζ14−2ζ26−ζ14−ζ262ζ14+2ζ26000000000000000000000−4+4i34−4i304ζ10+4ζ46−4ζ10−4ζ46−1+i32−2i31−i3−2+2i300ζ10+ζ46−2ζ10−2ζ46−ζ10−ζ462ζ10+2ζ46000000000000000000000
χ1088-80−4i24i2-424-2002i2−i2−2i2i2000000000000000000000−4−4i34+4i304ζ14+4ζ26−4ζ14−4ζ262+2i3−1−i3−2−2i31+i300−2ζ14−2ζ26ζ14+ζ262ζ14+2ζ26−ζ14−ζ26000000000000000000000−4+4i34−4i304ζ10+4ζ46−4ζ10−4ζ462−2i3−1+i3−2+2i31−i300−2ζ10−2ζ46ζ10+ζ462ζ10+2ζ46−ζ10−ζ46000000000000000000000

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