Finite Group Databasebeta

← Group #11923312

Character table — Group #11923312

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11222222222224444668888888888888888888888121212121212123636484848481122222222222444466888888888888888888888812121212121212363648484848
order1234688121224242424336624336612121212121224242424242424242424242424681224242466121222646881212242424246666246666121212121212242424242424242424242424246812242424661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-111111-1-1-1-1-1-111111111111111111111111111111111111111111-1-111111-1-1-1-1-1-1
χ31111111111111−1−i32−1+i32−1−i32−1+i3211−1−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+i32111111111−1−i32−1+i32−1−i32−1+i321111111111111−1−i32−1+i32−1−i32−1+i3211−1−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+i32111111111−1−i32−1+i32−1−i32−1+i32
χ41111111111111−1−i32−1+i32−1−i32−1+i3211−1−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+i32-1-111111-1-11+i321−i321+i321−i321111111111111−1−i32−1+i32−1−i32−1+i3211−1−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+i32-1-111111-1-11+i321−i321+i321−i32
χ51111111111111−1+i32−1−i32−1+i32−1−i3211−1+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−i32111111111−1+i32−1−i32−1+i32−1−i321111111111111−1+i32−1−i32−1+i32−1−i3211−1+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−i32111111111−1+i32−1−i32−1+i32−1−i32
χ61111111111111−1+i32−1−i32−1+i32−1−i3211−1+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−i32-1-111111-1-11−i321+i321−i321+i321111111111111−1+i32−1−i32−1+i32−1−i3211−1+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−i32-1-111111-1-11−i321+i321−i321+i32
χ711111-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1-1-1111-1-111111-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1-1-1111-1-1
χ811111-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-11-1-1-11111111-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-11-1-1-111
χ911111-1-111-1-1-1-1−1−i32−1+i32−1−i32−1+i3211−1−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−i321−i321−i321−i321-11-11-1-1-11−1−i32−1+i321+i321−i3211111-1-111-1-1-1-1−1−i32−1+i32−1−i32−1+i3211−1−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−i321−i321−i321−i321-11-11-1-1-11−1−i32−1+i321+i321−i32
χ1011111-1-111-1-1-1-1−1−i32−1+i32−1−i32−1+i3211−1−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−i321−i321−i321−i32-111-11-1-11-11+i321−i32−1−i32−1+i3211111-1-111-1-1-1-1−1−i32−1+i32−1−i32−1+i3211−1−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−i321−i321−i321−i32-111-11-1-11-11+i321−i32−1−i32−1+i32
χ1111111-1-111-1-1-1-1−1+i32−1−i32−1+i32−1−i3211−1+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+i321+i321+i321+i321-11-11-1-1-11−1+i32−1−i321−i321+i3211111-1-111-1-1-1-1−1+i32−1−i32−1+i32−1−i3211−1+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+i321+i321+i321+i321-11-11-1-1-11−1+i32−1−i321−i321+i32
χ1211111-1-111-1-1-1-1−1+i32−1−i32−1+i32−1−i3211−1+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+i321+i321+i321+i32-111-11-1-11-11−i321+i32−1+i32−1−i3211111-1-111-1-1-1-1−1+i32−1−i32−1+i32−1−i3211−1+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+i321+i321+i321+i32-111-11-1-11-11−i321+i32−1+i32−1−i32
χ13222-2200-2-200002222-222222-2-2-2-2-2-200000000000000-20200000000222-2200-2-200002222-222222-2-2-2-2-2-200000000000000-20200000000
χ14222-2200-2-20000−1−i3−1+i3−1−i3−1+i3-22−1−i3−1+i3−1−i3−1+i31+i31−i31+i31+i31−i31−i300000000000000-20200000000222-2200-2-20000−1−i3−1+i3−1−i3−1+i3-22−1−i3−1+i3−1−i3−1+i31+i31−i31+i31+i31−i31−i300000000000000-20200000000
χ15222-2200-2-20000−1+i3−1−i3−1+i3−1−i3-22−1+i3−1−i3−1+i3−1−i31−i31+i31−i31−i31+i31+i300000000000000-20200000000222-2200-2-20000−1+i3−1−i3−1+i3−1−i3-22−1+i3−1−i3−1+i3−1−i31−i31+i31−i31−i31+i31+i300000000000000-20200000000
χ1622-12-122-1-1-1-1-1-1222222-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-100-12-1-1-100000022-12-122-1-1-1-1-1-1222222-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-100-12-1-1-1000000
χ1722-12-122-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i3221+i321−i321+i321−i32−1−i3−1+i31+i321+i321−i321−i32−1−i3−1−i31+i321+i321+i321+i32−1+i3−1+i31−i321−i321−i321−i3200-12-1-1-100000022-12-122-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i3221+i321−i321+i321−i32−1−i3−1+i31+i321+i321−i321−i32−1−i3−1−i31+i321+i321+i321+i32−1+i3−1+i31−i321−i321−i321−i3200-12-1-1-1000000
χ1822-12-122-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i3221−i321+i321−i321+i32−1+i3−1−i31−i321−i321+i321+i32−1+i3−1+i31−i321−i321−i321−i32−1−i3−1−i31+i321+i321+i321+i3200-12-1-1-100000022-12-122-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i3221−i321+i321−i321+i32−1+i3−1−i31−i321−i321+i321+i32−1+i3−1+i31−i321−i321−i321−i32−1−i3−1−i31+i321+i321+i321+i3200-12-1-1-1000000
χ1922-12-1-2-2-1-11111222222-1-1-1-122-1-1-1-1-2-21111-2-2111100-1-2-11100000022-12-1-2-2-1-11111222222-1-1-1-122-1-1-1-1-2-21111-2-2111100-1-2-111000000
χ2022-12-1-2-2-1-11111−1−i3−1+i3−1−i3−1+i3221+i321−i321+i321−i32−1−i3−1+i31+i321+i321−i321−i321+i31+i3−1−i32−1−i32−1−i32−1−i321−i31−i3−1+i32−1+i32−1+i32−1+i3200-1-2-11100000022-12-1-2-2-1-11111−1−i3−1+i3−1−i3−1+i3221+i321−i321+i321−i32−1−i3−1+i31+i321+i321−i321−i321+i31+i3−1−i32−1−i32−1−i32−1−i321−i31−i3−1+i32−1+i32−1+i32−1+i3200-1-2-111000000
χ2122-12-1-2-2-1-11111−1+i3−1−i3−1+i3−1−i3221−i321+i321−i321+i32−1+i3−1−i31−i321−i321+i321+i321−i31−i3−1+i32−1+i32−1+i32−1+i321+i31+i3−1−i32−1−i32−1−i32−1−i3200-1-2-11100000022-12-1-2-2-1-11111−1+i3−1−i3−1+i3−1−i3221−i321+i321−i321+i32−1+i3−1−i31−i321−i321+i321+i321−i31−i3−1+i32−1+i32−1+i32−1+i321+i31+i3−1−i32−1−i32−1−i32−1−i3200-1-2-111000000
χ2222-1-2-1001133−3−32222-22-1-1-1-1-2-211110033−3−30033−3−30010-13−300000022-1-2-1001133−3−32222-22-1-1-1-1-2-211110033−3−30033−3−30010-13−3000000
χ2322-1-2-1001133−3−3−1−i3−1+i3−1−i3−1+i3-221+i321−i321+i321−i321+i31−i3−1−i32−1−i32−1+i32−1+i32002ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ2200−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ220010-13−300000022-1-2-1001133−3−3−1−i3−1+i3−1−i3−1+i3-221+i321−i321+i321−i321+i31−i3−1−i32−1−i32−1+i32−1+i32002ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ2200−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ220010-13−3000000
χ2422-1-2-1001133−3−3−1+i3−1−i3−1+i3−1−i3-221−i321+i321−i321+i321−i31+i3−1+i32−1+i32−1−i32−1−i3200−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22002ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ220010-13−300000022-1-2-1001133−3−3−1+i3−1−i3−1+i3−1−i3-221−i321+i321−i321+i321−i31+i3−1+i32−1+i32−1−i32−1−i3200−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22002ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ220010-13−3000000
χ2522-1-2-10011−3−3332222-22-1-1-1-1-2-2111100−3−33300−3−3330010-1−3300000022-1-2-10011−3−3332222-22-1-1-1-1-2-2111100−3−33300−3−3330010-1−33000000
χ2622-1-2-10011−3−333−1−i3−1+i3−1−i3−1+i3-221+i321−i321+i321−i321+i31−i3−1−i32−1−i32−1+i32−1+i3200−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ2200ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ220010-1−3300000022-1-2-10011−3−333−1−i3−1+i3−1−i3−1+i3-221+i321−i321+i321−i321+i31−i3−1−i32−1−i32−1+i32−1+i3200−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ2200ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ220010-1−33000000
χ2722-1-2-10011−3−333−1+i3−1−i3−1+i3−1−i3-221−i321+i321−i321+i321−i31+i3−1+i32−1+i32−1−i32−1−i3200ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ2200−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ220010-1−3300000022-1-2-10011−3−333−1+i3−1−i3−1+i3−1−i3-221−i321+i321−i321+i321−i31+i3−1+i32−1+i32−1−i32−1−i3200ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ2200−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ220010-1−33000000
χ2833333333333330000-1-1000000000000000000000033-1-1-1-1-1-1-1000033333333333330000-1-1000000000000000000000033-1-1-1-1-1-1-10000
χ2933333333333330000-1-10000000000000000000000-3-3-1-1-1-1-111000033333333333330000-1-10000000000000000000000-3-3-1-1-1-1-1110000
χ3033333-3-333-3-3-3-30000-1-100000000000000000000003-3-11-1111-1000033333-3-333-3-3-3-30000-1-100000000000000000000003-3-11-1111-10000
χ3133333-3-333-3-3-3-30000-1-10000000000000000000000-33-11-111-11000033333-3-333-3-3-3-30000-1-10000000000000000000000-33-11-111-110000
χ324-440-4−2i22i200−2i22i2−2i22i2-2-22200-2-222000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000000004-440-4−2i22i200−2i22i2−2i22i2-2-22200-2-222000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000000000000
χ334-440-4−2i22i200−2i22i2−2i22i21+i31−i3−1−i3−1+i3001+i31−i3−1−i3−1+i3000000ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ2300000000000004-440-4−2i22i200−2i22i2−2i22i21+i31−i3−1−i3−1+i3001+i31−i3−1−i3−1+i3000000ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ230000000000000
χ344-440-4−2i22i200−2i22i2−2i22i21−i31+i3−1+i3−1−i3001−i31+i3−1+i3−1−i3000000ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ1300000000000004-440-4−2i22i200−2i22i2−2i22i21−i31+i3−1+i3−1−i3001−i31+i3−1+i3−1−i3000000ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ130000000000000
χ354-440-42i2−2i2002i2−2i22i2−2i2-2-22200-2-222000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000000004-440-42i2−2i2002i2−2i22i2−2i2-2-22200-2-222000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000000000000
χ364-440-42i2−2i2002i2−2i22i2−2i21+i31−i3−1−i3−1+i3001+i31−i3−1−i3−1+i3000000−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ2300000000000004-440-42i2−2i2002i2−2i22i2−2i21+i31−i3−1−i3−1+i3001+i31−i3−1−i3−1+i3000000−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ230000000000000
χ374-440-42i2−2i2002i2−2i22i2−2i21−i31+i3−1+i3−1−i3001−i31+i3−1+i3−1−i3000000−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ1300000000000004-440-42i2−2i2002i2−2i22i2−2i21−i31+i3−1+i3−1−i3001−i31+i3−1+i3−1−i3000000−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ130000000000000
χ384-4-202−2i22i223−232ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ23-2-2220011-1-1003−33−3−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000000004-4-202−2i22i223−232ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ23-2-2220011-1-1003−33−3−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000000000
χ394-4-202−2i22i223−232ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ231+i31−i3−1−i3−1+i300−1−i32−1+i321+i321−i32002ζ14+ζ22−2ζ14−ζ22−ζ14−2ζ22ζ14+2ζ22ζ7+ζ13−ζ7−ζ13−ζ5−ζ13+ζ23ζ5+ζ13−ζ23ζ5−ζ7−ζ23−ζ5+ζ7+ζ23ζ5+ζ23−ζ5−ζ23−ζ7+ζ13−ζ23ζ7−ζ13+ζ23−ζ5+ζ7−ζ13ζ5−ζ7+ζ1300000000000004-4-202−2i22i223−232ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ231+i31−i3−1−i3−1+i300−1−i32−1+i321+i321−i32002ζ14+ζ22−2ζ14−ζ22−ζ14−2ζ22ζ14+2ζ22ζ7+ζ13−ζ7−ζ13−ζ5−ζ13+ζ23ζ5+ζ13−ζ23ζ5−ζ7−ζ23−ζ5+ζ7+ζ23ζ5+ζ23−ζ5−ζ23−ζ7+ζ13−ζ23ζ7−ζ13+ζ23−ζ5+ζ7−ζ13ζ5−ζ7+ζ130000000000000
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χ424-4-202−2i22i2−23232ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ71+i31−i3−1−i3−1+i300−1−i32−1+i321+i321−i3200−2ζ14−ζ222ζ14+ζ22ζ14+2ζ22−ζ14−2ζ22ζ7+ζ13−ζ7−ζ13ζ5−ζ7−ζ23−ζ5+ζ7+ζ23−ζ5−ζ13+ζ23ζ5+ζ13−ζ23ζ5+ζ23−ζ5−ζ23−ζ5+ζ7−ζ13ζ5−ζ7+ζ13−ζ7+ζ13−ζ23ζ7−ζ13+ζ2300000000000004-4-202−2i22i2−23232ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ71+i31−i3−1−i3−1+i300−1−i32−1+i321+i321−i3200−2ζ14−ζ222ζ14+ζ22ζ14+2ζ22−ζ14−2ζ22ζ7+ζ13−ζ7−ζ13ζ5−ζ7−ζ23−ζ5+ζ7+ζ23−ζ5−ζ13+ζ23ζ5+ζ13−ζ23ζ5+ζ23−ζ5−ζ23−ζ5+ζ7−ζ13ζ5−ζ7+ζ13−ζ7+ζ13−ζ23ζ7−ζ13+ζ230000000000000
χ434-4-202−2i22i2−23232ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ71−i31+i3−1+i3−1−i300−1+i32−1−i321−i321+i3200ζ14+2ζ22−ζ14−2ζ22−2ζ14−ζ222ζ14+ζ22ζ5+ζ23−ζ5−ζ23−ζ5+ζ7−ζ13ζ5−ζ7+ζ13−ζ7+ζ13−ζ23ζ7−ζ13+ζ23ζ7+ζ13−ζ7−ζ13ζ5−ζ7−ζ23−ζ5+ζ7+ζ23−ζ5−ζ13+ζ23ζ5+ζ13−ζ2300000000000004-4-202−2i22i2−23232ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ71−i31+i3−1+i3−1−i300−1+i32−1−i321−i321+i3200ζ14+2ζ22−ζ14−2ζ22−2ζ14−ζ222ζ14+ζ22ζ5+ζ23−ζ5−ζ23−ζ5+ζ7−ζ13ζ5−ζ7+ζ13−ζ7+ζ13−ζ23ζ7−ζ13+ζ23ζ7+ζ13−ζ7−ζ13ζ5−ζ7−ζ23−ζ5+ζ7+ζ23−ζ5−ζ13+ζ23ζ5+ζ13−ζ230000000000000
χ444-4-2022i2−2i223−23−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ23-2-2220011-1-1003−33−3i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000000004-4-2022i2−2i223−23−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ23-2-2220011-1-1003−33−3i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000000000
χ454-4-2022i2−2i223−23−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ231+i31−i3−1−i3−1+i300−1−i32−1+i321+i321−i32002ζ14+ζ22−2ζ14−ζ22−ζ14−2ζ22ζ14+2ζ22−ζ7−ζ13ζ7+ζ13ζ5+ζ13−ζ23−ζ5−ζ13+ζ23−ζ5+ζ7+ζ23ζ5−ζ7−ζ23−ζ5−ζ23ζ5+ζ23ζ7−ζ13+ζ23−ζ7+ζ13−ζ23ζ5−ζ7+ζ13−ζ5+ζ7−ζ1300000000000004-4-2022i2−2i223−23−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ231+i31−i3−1−i3−1+i300−1−i32−1+i321+i321−i32002ζ14+ζ22−2ζ14−ζ22−ζ14−2ζ22ζ14+2ζ22−ζ7−ζ13ζ7+ζ13ζ5+ζ13−ζ23−ζ5−ζ13+ζ23−ζ5+ζ7+ζ23ζ5−ζ7−ζ23−ζ5−ζ23ζ5+ζ23ζ7−ζ13+ζ23−ζ7+ζ13−ζ23ζ5−ζ7+ζ13−ζ5+ζ7−ζ130000000000000
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χ474-4-2022i2−2i2−2323−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7-2-2220011-1-100−33−33i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000000000004-4-2022i2−2i2−2323−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7-2-2220011-1-100−33−33i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000000000
χ484-4-2022i2−2i2−2323−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ71+i31−i3−1−i3−1+i300−1−i32−1+i321+i321−i3200−2ζ14−ζ222ζ14+ζ22ζ14+2ζ22−ζ14−2ζ22−ζ7−ζ13ζ7+ζ13−ζ5+ζ7+ζ23ζ5−ζ7−ζ23ζ5+ζ13−ζ23−ζ5−ζ13+ζ23−ζ5−ζ23ζ5+ζ23ζ5−ζ7+ζ13−ζ5+ζ7−ζ13ζ7−ζ13+ζ23−ζ7+ζ13−ζ2300000000000004-4-2022i2−2i2−2323−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ71+i31−i3−1−i3−1+i300−1−i32−1+i321+i321−i3200−2ζ14−ζ222ζ14+ζ22ζ14+2ζ22−ζ14−2ζ22−ζ7−ζ13ζ7+ζ13−ζ5+ζ7+ζ23ζ5−ζ7−ζ23ζ5+ζ13−ζ23−ζ5−ζ13+ζ23−ζ5−ζ23ζ5+ζ23ζ5−ζ7+ζ13−ζ5+ζ7−ζ13ζ7−ζ13+ζ23−ζ7+ζ13−ζ230000000000000
χ494-4-2022i2−2i2−2323−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ71−i31+i3−1+i3−1−i300−1+i32−1−i321−i321+i3200ζ14+2ζ22−ζ14−2ζ22−2ζ14−ζ222ζ14+ζ22−ζ5−ζ23ζ5+ζ23ζ5−ζ7+ζ13−ζ5+ζ7−ζ13ζ7−ζ13+ζ23−ζ7+ζ13−ζ23−ζ7−ζ13ζ7+ζ13−ζ5+ζ7+ζ23ζ5−ζ7−ζ23ζ5+ζ13−ζ23−ζ5−ζ13+ζ2300000000000004-4-2022i2−2i2−2323−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ71−i31+i3−1+i3−1−i300−1+i32−1−i321−i321+i3200ζ14+2ζ22−ζ14−2ζ22−2ζ14−ζ222ζ14+ζ22−ζ5−ζ23ζ5+ζ23ζ5−ζ7+ζ13−ζ5+ζ7−ζ13ζ7−ζ13+ζ23−ζ7+ζ13−ζ23−ζ7−ζ13ζ7+ζ13−ζ5+ζ7+ζ23ζ5−ζ7−ζ23ζ5+ζ13−ζ23−ζ5−ζ13+ζ230000000000000
χ50666-6600-6-6000000002-200000000000000000000000020-200000000666-6600-6-6000000002-200000000000000000000000020-200000000
χ5166-36-366-3-3-3-3-3-30000-2-20000000000000000000000001-211100000066-36-366-3-3-3-3-3-30000-2-20000000000000000000000001-2111000000
χ5266-36-3-6-6-3-333330000-2-2000000000000000000000000121-1-100000066-36-3-6-6-3-333330000-2-2000000000000000000000000121-1-1000000
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χ5466-3-6-30033−33−33333300002-2000000000000000000000000-1013−300000066-3-6-30033−33−33333300002-2000000000000000000000000-1013−3000000
χ55111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ5611111111111111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111
χ571111111111111−1−i32−1+i32−1−i32−1+i3211−1−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+i32111111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i32-1-11+i321−i321+i321−i321+i321−i321+i321+i321−i321−i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32-1-1-1-1-1-1-1-1-11+i321−i321+i321−i32
χ581111111111111−1−i32−1+i32−1−i32−1+i3211−1−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+i32-1-111111-1-11+i321−i321+i321−i32-1-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i32-1-11+i321−i321+i321−i321+i321−i321+i321+i321−i321−i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i3211-1-1-1-1-111−1−i32−1+i32−1−i32−1+i32
χ591111111111111−1+i32−1−i32−1+i32−1−i3211−1+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−i32111111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i32-1-11−i321+i321−i321+i321−i321+i321−i321−i321+i321+i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32-1-1-1-1-1-1-1-1-11−i321+i321−i321+i32
χ601111111111111−1+i32−1−i32−1+i32−1−i3211−1+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−i32-1-111111-1-11−i321+i321−i321+i32-1-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i32-1-11−i321+i321−i321+i321−i321+i321−i321−i321+i321+i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i3211-1-1-1-1-111−1+i32−1−i32−1+i32−1−i32
χ6111111-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1-1-1111-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11-11-1111-1-1-111
χ6211111-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-11-1-1-111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-11-111-1111-1-1
χ6311111-1-111-1-1-1-1−1−i32−1+i32−1−i32−1+i3211−1−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−i321−i321−i321−i321-11-11-1-1-11−1−i32−1+i321+i321−i32-1-1-1-1-111-1-111111+i321−i321+i321−i32-1-11+i321−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+i32-11-11-1111-11+i321−i32−1−i32−1+i32
χ6411111-1-111-1-1-1-1−1−i32−1+i32−1−i32−1+i3211−1−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−i321−i321−i321−i32-111-11-1-11-11+i321−i32−1−i32−1+i32-1-1-1-1-111-1-111111+i321−i321+i321−i32-1-11+i321−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+i321-1-11-111-11−1−i32−1+i321+i321−i32
χ6511111-1-111-1-1-1-1−1+i32−1−i32−1+i32−1−i3211−1+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+i321+i321+i321+i321-11-11-1-1-11−1+i32−1−i321−i321+i32-1-1-1-1-111-1-111111−i321+i321−i321+i32-1-11−i321+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−i32-11-11-1111-11−i321+i32−1+i32−1−i32
χ6611111-1-111-1-1-1-1−1+i32−1−i32−1+i32−1−i3211−1+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+i321+i321+i321+i32-111-11-1-11-11−i321+i32−1+i32−1−i32-1-1-1-1-111-1-111111−i321+i321−i321+i32-1-11−i321+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−i321-1-11-111-11−1+i32−1−i321−i321+i32
χ67222-2200-2-200002222-222222-2-2-2-2-2-200000000000000-20200000000-2-2-22-200220000-2-2-2-22-2-2-2-2-22222220000000000000020-200000000
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χ69222-2200-2-20000−1+i3−1−i3−1+i3−1−i3-22−1+i3−1−i3−1+i3−1−i31−i31+i31−i31−i31+i31+i300000000000000-20200000000-2-2-22-2002200001−i31+i31−i31+i32-21−i31+i31−i31+i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i30000000000000020-200000000
χ7022-12-122-1-1-1-1-1-1222222-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-100-12-1-1-1000000-2-21-21-2-2111111-2-2-2-2-2-21111-2-21111-2-21111-2-21111001-2111000000
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χ10666-36-3-6-6-3-333330000-2-2000000000000000000000000121-1-1000000-6-63-636633-3-3-3-3000022000000000000000000000000-1-2-111000000
χ10766-3-6-300333333−33−3300002-2000000000000000000000000-101−33000000-6-636300-3-3−33−3333330000-2200000000000000000000000010-13−3000000
χ10866-3-6-30033−33−33333300002-2000000000000000000000000-1013−3000000-6-636300-3-33333−33−330000-2200000000000000000000000010-1−33000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.