Finite Group Databasebeta

← Group #13165844

Character table — Group #13165844

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11444499999911444499999944161616163636363636364416161616363636363636441616161636363636363644161616163636363636366624242424545454545454
order1233664488882266664488883633661212242424243633661212242424246666661212242424246666661212242424244412121212448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111-1-1-1-111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ3111111-1-1ii−i−i111111-1-1ii−i−i111111-1-1ii−i−i111111-1-1ii−i−i111111-1-1ii−i−i111111-1-1ii−i−i111111-1-1ii−i−i
χ4111111-1-1−i−iii111111-1-1−i−iii111111-1-1−i−iii111111-1-1−i−iii111111-1-1−i−iii111111-1-1−i−iii111111-1-1−i−iii
χ51-111-1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-111-1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-111-1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-111-1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-111-1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-111-1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-111-1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13
χ61-111-1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-111-1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-111-1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-111-1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-111-1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-111-1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-111-1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13
χ71-111-1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-111-1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-111-1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-111-1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-111-1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-111-1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-111-1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23
χ81-111-1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-111-1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-111-1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-111-1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-111-1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-111-1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-111-1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23
χ9441-21-2000000441-21-2000000441-21-2000000441-21-2000000441-21-2000000441-21-2000000441-21-2000000
χ1044-21-2100000044-21-2100000044-21-2100000044-21-2100000044-21-2100000044-21-2100000044-21-21000000
χ114-41-2-120000004-41-2-120000004-41-2-120000004-41-2-120000004-41-2-120000004-41-2-120000004-41-2-12000000
χ124-4-212-10000004-4-212-10000004-4-212-10000004-4-212-10000004-4-212-10000004-4-212-10000004-4-212-1000000
χ13111111111111111111111111−1+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−i32111111111111
χ1411111111-1-1-1-111111111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i3211111111-1-1-1-1
χ15111111-1-1ii−i−i111111-1-1ii−i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22111111-1-1ii−i−i
χ16111111-1-1−i−iii111111-1-1−i−iii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22111111-1-1−i−iii
χ171-111-1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-111-1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−1+i321−i32−1+i32−1+i321−i321−i32ζ14−ζ14−ζ23ζ23−ζ5ζ5−1−i321+i32−1−i32−1−i321+i321+i32ζ22−ζ22−ζ7ζ7−ζ13ζ13−1+i321−i32−1+i32−1+i321−i321−i32ζ14−ζ14−ζ23ζ23−ζ5ζ5−1−i321+i32−1−i32−1−i321+i321+i32ζ22−ζ22−ζ7ζ7−ζ13ζ131-111-1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13
χ181-111-1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-111-1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−1+i321−i32−1+i32−1+i321−i321−i32ζ14−ζ14ζ23−ζ23ζ5−ζ5−1−i321+i32−1−i32−1−i321+i321+i32ζ22−ζ22ζ7−ζ7ζ13−ζ13−1+i321−i32−1+i32−1+i321−i321−i32ζ14−ζ14ζ23−ζ23ζ5−ζ5−1−i321+i32−1−i32−1−i321+i321+i32ζ22−ζ22ζ7−ζ7ζ13−ζ131-111-1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13
χ191-111-1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-111-1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−1+i321−i32−1+i32−1+i321−i321−i32−ζ14ζ14−ζ5ζ5−ζ23ζ23−1−i321+i32−1−i32−1−i321+i321+i32−ζ22ζ22−ζ13ζ13−ζ7ζ7−1+i321−i32−1+i32−1+i321−i321−i32−ζ14ζ14−ζ5ζ5−ζ23ζ23−1−i321+i32−1−i32−1−i321+i321+i32−ζ22ζ22−ζ13ζ13−ζ7ζ71-111-1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23
χ201-111-1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-111-1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−1+i321−i32−1+i32−1+i321−i321−i32−ζ14ζ14ζ5−ζ5ζ23−ζ23−1−i321+i32−1−i32−1−i321+i321+i32−ζ22ζ22ζ13−ζ13ζ7−ζ7−1+i321−i32−1+i32−1+i321−i321−i32−ζ14ζ14ζ5−ζ5ζ23−ζ23−1−i321+i32−1−i32−1−i321+i321+i32−ζ22ζ22ζ13−ζ13ζ7−ζ71-111-1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23
χ21441-21-2000000441-21-2000000−2+2i3−2+2i3−1+i321−i3−1+i321−i3000000−2−2i3−2−2i3−1−i321+i3−1−i321+i3000000−2+2i3−2+2i3−1+i321−i3−1+i321−i3000000−2−2i3−2−2i3−1−i321+i3−1−i321+i3000000441-21-2000000
χ2244-21-2100000044-21-21000000−2+2i3−2+2i31−i3−1+i321−i3−1+i32000000−2−2i3−2−2i31+i3−1−i321+i3−1−i32000000−2+2i3−2+2i31−i3−1+i321−i3−1+i32000000−2−2i3−2−2i31+i3−1−i321+i3−1−i3200000044-21-21000000
χ234-41-2-120000004-41-2-12000000−2+2i32−2i3−1+i321−i31−i32−1+i3000000−2−2i32+2i3−1−i321+i31+i32−1−i3000000−2+2i32−2i3−1+i321−i31−i32−1+i3000000−2−2i32+2i3−1−i321+i31+i32−1−i30000004-41-2-12000000
χ244-4-212-10000004-4-212-1000000−2+2i32−2i31−i3−1+i32−1+i31−i32000000−2−2i32+2i31+i3−1−i32−1−i31+i32000000−2+2i32−2i31−i3−1+i32−1+i31−i32000000−2−2i32+2i31+i3−1−i32−1−i31+i320000004-4-212-1000000
χ25111111111111111111111111−1−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+i32111111111111
χ2611111111-1-1-1-111111111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i3211111111-1-1-1-1
χ27111111-1-1ii−i−i111111-1-1ii−i−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14111111-1-1ii−i−i
χ28111111-1-1−i−iii111111-1-1−i−iii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14111111-1-1−i−iii
χ291-111-1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-111-1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−1−i321+i32−1−i32−1−i321+i321+i32ζ22−ζ22−ζ7ζ7−ζ13ζ13−1+i321−i32−1+i32−1+i321−i321−i32ζ14−ζ14−ζ23ζ23−ζ5ζ5−1−i321+i32−1−i32−1−i321+i321+i32ζ22−ζ22−ζ7ζ7−ζ13ζ13−1+i321−i32−1+i32−1+i321−i321−i32ζ14−ζ14−ζ23ζ23−ζ5ζ51-111-1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13
χ301-111-1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-111-1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−1−i321+i32−1−i32−1−i321+i321+i32ζ22−ζ22ζ7−ζ7ζ13−ζ13−1+i321−i32−1+i32−1+i321−i321−i32ζ14−ζ14ζ23−ζ23ζ5−ζ5−1−i321+i32−1−i32−1−i321+i321+i32ζ22−ζ22ζ7−ζ7ζ13−ζ13−1+i321−i32−1+i32−1+i321−i321−i32ζ14−ζ14ζ23−ζ23ζ5−ζ51-111-1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13
χ311-111-1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-111-1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−1−i321+i32−1−i32−1−i321+i321+i32−ζ22ζ22−ζ13ζ13−ζ7ζ7−1+i321−i32−1+i32−1+i321−i321−i32−ζ14ζ14−ζ5ζ5−ζ23ζ23−1−i321+i32−1−i32−1−i321+i321+i32−ζ22ζ22−ζ13ζ13−ζ7ζ7−1+i321−i32−1+i32−1+i321−i321−i32−ζ14ζ14−ζ5ζ5−ζ23ζ231-111-1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23
χ321-111-1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-111-1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−1−i321+i32−1−i32−1−i321+i321+i32−ζ22ζ22ζ13−ζ13ζ7−ζ7−1+i321−i32−1+i32−1+i321−i321−i32−ζ14ζ14ζ5−ζ5ζ23−ζ23−1−i321+i32−1−i32−1−i321+i321+i32−ζ22ζ22ζ13−ζ13ζ7−ζ7−1+i321−i32−1+i32−1+i321−i321−i32−ζ14ζ14ζ5−ζ5ζ23−ζ231-111-1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23
χ33441-21-2000000441-21-2000000−2−2i3−2−2i3−1−i321+i3−1−i321+i3000000−2+2i3−2+2i3−1+i321−i3−1+i321−i3000000−2−2i3−2−2i3−1−i321+i3−1−i321+i3000000−2+2i3−2+2i3−1+i321−i3−1+i321−i3000000441-21-2000000
χ3444-21-2100000044-21-21000000−2−2i3−2−2i31+i3−1−i321+i3−1−i32000000−2+2i3−2+2i31−i3−1+i321−i3−1+i32000000−2−2i3−2−2i31+i3−1−i321+i3−1−i32000000−2+2i3−2+2i31−i3−1+i321−i3−1+i3200000044-21-21000000
χ354-41-2-120000004-41-2-12000000−2−2i32+2i3−1−i321+i31+i32−1−i3000000−2+2i32−2i3−1+i321−i31−i32−1+i3000000−2−2i32+2i3−1−i321+i31+i32−1−i3000000−2+2i32−2i3−1+i321−i31−i32−1+i30000004-41-2-12000000
χ364-4-212-10000004-4-212-1000000−2−2i32+2i31+i3−1−i32−1−i31+i32000000−2+2i32−2i31−i3−1+i32−1+i31−i32000000−2−2i32+2i31+i3−1−i32−1−i31+i32000000−2+2i32−2i31−i3−1+i32−1+i31−i320000004-4-212-1000000
χ37222222222222-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111000000000000
χ3822222222-2-2-2-2-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1000000000000
χ39222222-2-22i2i−2i−2i-2-2-2-2-2-222−2i−2i2i2i-1-1-1-1-1-111−i−iii-1-1-1-1-1-111−i−iii111111-1-1ii−i−i111111-1-1ii−i−i000000000000
χ40222222-2-2−2i−2i2i2i-2-2-2-2-2-2222i2i−2i−2i-1-1-1-1-1-111ii−i−i-1-1-1-1-1-111ii−i−i111111-1-1−i−iii111111-1-1−i−iii000000000000
χ412-222-2-22i−2i2ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13-22-2-222−2i2i−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ13-11-1-111−ii−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13-11-1-111−ii−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-111-1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-111-1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13000000000000
χ422-222-2-22i−2i−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ13-22-2-222−2i2i2ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13-11-1-111−iiζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13-11-1-111−iiζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-111-1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-111-1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13000000000000
χ432-222-2-2−2i2i2ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23-22-2-2222i−2i−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ23-11-1-111i−i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23-11-1-111i−i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-111-1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-111-1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23000000000000
χ442-222-2-2−2i2i−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ23-22-2-2222i−2i2ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23-11-1-111i−iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23-11-1-111i−iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-111-1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-111-1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23000000000000
χ45882-42-4000000-8-8-24-24000000-4-4-12-12000000-4-4-12-12000000441-21-2000000441-21-2000000000000000000
χ4688-42-42000000-8-84-24-2000000-4-42-12-1000000-4-42-12-100000044-21-2100000044-21-21000000000000000000
χ478-82-4-24000000-88-242-4000000-44-121-2000000-44-121-20000004-41-2-120000004-41-2-12000000000000000000
χ488-8-424-2000000-884-2-42000000-442-1-21000000-442-1-210000004-4-212-10000004-4-212-1000000000000000000
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χ52222222-2-2−2i−2i2i2i-2-2-2-2-2-2222i2i−2i−2i1−i321−i321−i321−i321−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ141+i321+i321+i321+i321+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22000000000000
χ532-222-2-22i−2i2ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13-22-2-222−2i2i−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ131−i32−1+i321−i321−i32−1+i32−1+i32−ζ14ζ14ζ23−ζ23ζ5−ζ51+i32−1−i321+i321+i32−1−i32−1−i32−ζ22ζ22ζ7−ζ7ζ13−ζ13−1+i321−i32−1+i32−1+i321−i321−i32ζ14−ζ14−ζ23ζ23−ζ5ζ5−1−i321+i32−1−i32−1−i321+i321+i32ζ22−ζ22−ζ7ζ7−ζ13ζ13000000000000
χ542-222-2-22i−2i−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ13-22-2-222−2i2i2ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ131−i32−1+i321−i321−i32−1+i32−1+i32−ζ14ζ14−ζ23ζ23−ζ5ζ51+i32−1−i321+i321+i32−1−i32−1−i32−ζ22ζ22−ζ7ζ7−ζ13ζ13−1+i321−i32−1+i32−1+i321−i321−i32ζ14−ζ14ζ23−ζ23ζ5−ζ5−1−i321+i32−1−i32−1−i321+i321+i32ζ22−ζ22ζ7−ζ7ζ13−ζ13000000000000
χ552-222-2-2−2i2i2ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23-22-2-2222i−2i−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ231−i32−1+i321−i321−i32−1+i32−1+i32ζ14−ζ14ζ5−ζ5ζ23−ζ231+i32−1−i321+i321+i32−1−i32−1−i32ζ22−ζ22ζ13−ζ13ζ7−ζ7−1+i321−i32−1+i32−1+i321−i321−i32−ζ14ζ14−ζ5ζ5−ζ23ζ23−1−i321+i32−1−i32−1−i321+i321+i32−ζ22ζ22−ζ13ζ13−ζ7ζ7000000000000
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χ63222222-2-22i2i−2i−2i-2-2-2-2-2-222−2i−2i2i2i1+i321+i321+i321+i321+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ221−i321−i321−i321−i321−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14000000000000
χ64222222-2-2−2i−2i2i2i-2-2-2-2-2-2222i2i−2i−2i1+i321+i321+i321+i321+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ221−i321−i321−i321−i321−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14000000000000
χ652-222-2-22i−2i2ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13-22-2-222−2i2i−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ131+i32−1−i321+i321+i32−1−i32−1−i32−ζ22ζ22ζ7−ζ7ζ13−ζ131−i32−1+i321−i321−i32−1+i32−1+i32−ζ14ζ14ζ23−ζ23ζ5−ζ5−1−i321+i32−1−i32−1−i321+i321+i32ζ22−ζ22−ζ7ζ7−ζ13ζ13−1+i321−i32−1+i32−1+i321−i321−i32ζ14−ζ14−ζ23ζ23−ζ5ζ5000000000000
χ662-222-2-22i−2i−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ13-22-2-222−2i2i2ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ131+i32−1−i321+i321+i32−1−i32−1−i32−ζ22ζ22−ζ7ζ7−ζ13ζ131−i32−1+i321−i321−i32−1+i32−1+i32−ζ14ζ14−ζ23ζ23−ζ5ζ5−1−i321+i32−1−i32−1−i321+i321+i32ζ22−ζ22ζ7−ζ7ζ13−ζ13−1+i321−i32−1+i32−1+i321−i321−i32ζ14−ζ14ζ23−ζ23ζ5−ζ5000000000000
χ672-222-2-2−2i2i2ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23-22-2-2222i−2i−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ231+i32−1−i321+i321+i32−1−i32−1−i32ζ22−ζ22ζ13−ζ13ζ7−ζ71−i32−1+i321−i321−i32−1+i32−1+i32ζ14−ζ14ζ5−ζ5ζ23−ζ23−1−i321+i32−1−i32−1−i321+i321+i32−ζ22ζ22−ζ13ζ13−ζ7ζ7−1+i321−i32−1+i32−1+i321−i321−i32−ζ14ζ14−ζ5ζ5−ζ23ζ23000000000000
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χ8112123-63-600000012123-63-6000000000000000000000000000000000000000000000000000000-4-4-12-12000000
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χ8312-123-6-3600000012-123-6-36000000000000000000000000000000000000000000000000000000-44-121-2000000
χ8412-12-636-300000012-12-636-3000000000000000000000000000000000000000000000000000000-442-1-21000000

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