Finite Group Databasebeta

← Group #13157026

Character table — Group #13157026

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size113366661616161622661212121232323232339918181818484848481133666616161616226612121212323232323399181818184848484811336666161616162266121212123232323233991818181848484848
order1222444433663666121212123366222244446666366612121212336636661212121233666666121212126666366612121212336636661212121233666666121212126666
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111−1−i32−1+i32−1−i32−1+i3211111111−1−i32−1+i32−1−i32−1+i3211111111−1−i32−1+i32−1−i32−1+i3211111111−1−i32−1+i32−1−i32−1+i3211111111−1−i32−1+i32−1−i32−1+i3211111111−1−i32−1+i32−1−i32−1+i3211111111−1−i32−1+i32−1−i32−1+i3211111111−1−i32−1+i32−1−i32−1+i3211111111−1−i32−1+i32−1−i32−1+i32
χ311111111−1+i32−1−i32−1+i32−1−i3211111111−1+i32−1−i32−1+i32−1−i3211111111−1+i32−1−i32−1+i32−1−i3211111111−1+i32−1−i32−1+i32−1−i3211111111−1+i32−1−i32−1+i32−1−i3211111111−1+i32−1−i32−1+i32−1−i3211111111−1+i32−1−i32−1+i32−1−i3211111111−1+i32−1−i32−1+i32−1−i3211111111−1+i32−1−i32−1+i32−1−i32
χ42-22-20000-1-1112-22-20000-1-1112-22-20000-1-1112-22-20000-1-1112-22-20000-1-1112-22-20000-1-1112-22-20000-1-1112-22-20000-1-1112-22-20000-1-111
χ52-22-200001+i321−i32−1−i32−1+i322-22-200001+i321−i32−1−i32−1+i322-22-200001+i321−i32−1−i32−1+i322-22-200001+i321−i32−1−i32−1+i322-22-200001+i321−i32−1−i32−1+i322-22-200001+i321−i32−1−i32−1+i322-22-200001+i321−i32−1−i32−1+i322-22-200001+i321−i32−1−i32−1+i322-22-200001+i321−i32−1−i32−1+i32
χ62-22-200001−i321+i32−1+i32−1−i322-22-200001−i321+i32−1+i32−1−i322-22-200001−i321+i32−1+i32−1−i322-22-200001−i321+i32−1+i32−1−i322-22-200001−i321+i32−1+i32−1−i322-22-200001−i321+i32−1+i32−1−i322-22-200001−i321+i32−1+i32−1−i322-22-200001−i321+i32−1+i32−1−i322-22-200001−i321+i32−1+i32−1−i32
χ73333-1-1-1-100003333-1-1-1-100003333-1-1-1-100003333-1-1-1-100003333-1-1-1-100003333-1-1-1-100003333-1-1-1-100003333-1-1-1-100003333-1-1-1-10000
χ833-1-111−1+2i−1−2i000033-1-111−1+2i−1−2i000033-1-111−1+2i−1−2i000033-1-111−1+2i−1−2i000033-1-111−1+2i−1−2i000033-1-111−1+2i−1−2i000033-1-111−1+2i−1−2i000033-1-111−1+2i−1−2i000033-1-111−1+2i−1−2i0000
χ933-1-111−1−2i−1+2i000033-1-111−1−2i−1+2i000033-1-111−1−2i−1+2i000033-1-111−1−2i−1+2i000033-1-111−1−2i−1+2i000033-1-111−1−2i−1+2i000033-1-111−1−2i−1+2i000033-1-111−1−2i−1+2i000033-1-111−1−2i−1+2i0000
χ1033-1-1−1+2i−1−2i11000033-1-1−1+2i−1−2i11000033-1-1−1+2i−1−2i11000033-1-1−1+2i−1−2i11000033-1-1−1+2i−1−2i11000033-1-1−1+2i−1−2i11000033-1-1−1+2i−1−2i11000033-1-1−1+2i−1−2i11000033-1-1−1+2i−1−2i110000
χ1133-1-1−1−2i−1+2i11000033-1-1−1−2i−1+2i11000033-1-1−1−2i−1+2i11000033-1-1−1−2i−1+2i11000033-1-1−1−2i−1+2i11000033-1-1−1−2i−1+2i11000033-1-1−1−2i−1+2i11000033-1-1−1−2i−1+2i11000033-1-1−1−2i−1+2i110000
χ126-6-22000000006-6-22000000006-6-22000000006-6-22000000006-6-22000000006-6-22000000006-6-22000000006-6-22000000006-6-2200000000
χ13111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ1411111111−1−i32−1+i32−1−i32−1+i3211111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-1-11+i321−i321+i321−i3211111111−1−i32−1+i32−1−i32−1+i3211111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-1-11+i321−i321+i321−i3211111111−1−i32−1+i32−1−i32−1+i3211111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-1-11+i321−i321+i321−i32
χ1511111111−1+i32−1−i32−1+i32−1−i3211111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-1-11−i321+i321−i321+i3211111111−1+i32−1−i32−1+i32−1−i3211111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-1-11−i321+i321−i321+i3211111111−1+i32−1−i32−1+i32−1−i3211111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-1-11−i321+i321−i321+i32
χ162-22-20000-1-1112-22-20000-1-111-22-22000011-1-12-22-20000-1-1112-22-20000-1-111-22-22000011-1-12-22-20000-1-1112-22-20000-1-111-22-22000011-1-1
χ172-22-200001+i321−i32−1−i32−1+i322-22-200001+i321−i32−1−i32−1+i32-22-220000−1−i32−1+i321+i321−i322-22-200001+i321−i32−1−i32−1+i322-22-200001+i321−i32−1−i32−1+i32-22-220000−1−i32−1+i321+i321−i322-22-200001+i321−i32−1−i32−1+i322-22-200001+i321−i32−1−i32−1+i32-22-220000−1−i32−1+i321+i321−i32
χ182-22-200001−i321+i32−1+i32−1−i322-22-200001−i321+i32−1+i32−1−i32-22-220000−1+i32−1−i321−i321+i322-22-200001−i321+i32−1+i32−1−i322-22-200001−i321+i32−1+i32−1−i32-22-220000−1+i32−1−i321−i321+i322-22-200001−i321+i32−1+i32−1−i322-22-200001−i321+i32−1+i32−1−i32-22-220000−1+i32−1−i321−i321+i32
χ193333-1-1-1-100003333-1-1-1-10000-3-3-3-3111100003333-1-1-1-100003333-1-1-1-10000-3-3-3-3111100003333-1-1-1-100003333-1-1-1-10000-3-3-3-311110000
χ2033-1-111−1+2i−1−2i000033-1-111−1+2i−1−2i0000-3-311-1-11−2i1+2i000033-1-111−1+2i−1−2i000033-1-111−1+2i−1−2i0000-3-311-1-11−2i1+2i000033-1-111−1+2i−1−2i000033-1-111−1+2i−1−2i0000-3-311-1-11−2i1+2i0000
χ2133-1-111−1−2i−1+2i000033-1-111−1−2i−1+2i0000-3-311-1-11+2i1−2i000033-1-111−1−2i−1+2i000033-1-111−1−2i−1+2i0000-3-311-1-11+2i1−2i000033-1-111−1−2i−1+2i000033-1-111−1−2i−1+2i0000-3-311-1-11+2i1−2i0000
χ2233-1-1−1+2i−1−2i11000033-1-1−1+2i−1−2i110000-3-3111−2i1+2i-1-1000033-1-1−1+2i−1−2i11000033-1-1−1+2i−1−2i110000-3-3111−2i1+2i-1-1000033-1-1−1+2i−1−2i11000033-1-1−1+2i−1−2i110000-3-3111−2i1+2i-1-10000
χ2333-1-1−1−2i−1+2i11000033-1-1−1−2i−1+2i110000-3-3111+2i1−2i-1-1000033-1-1−1−2i−1+2i11000033-1-1−1−2i−1+2i110000-3-3111+2i1−2i-1-1000033-1-1−1−2i−1+2i11000033-1-1−1−2i−1+2i110000-3-3111+2i1−2i-1-10000
χ246-6-22000000006-6-2200000000-662-2000000006-6-22000000006-6-2200000000-662-2000000006-6-22000000006-6-2200000000-662-200000000
χ25222222222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000222222222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000222222222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ2622222222−1−i3−1+i3−1−i3−1+i3-1-1-1-1-1-1-1-11+i321−i321+i321−i3200000000000022222222−1−i3−1+i3−1−i3−1+i3-1-1-1-1-1-1-1-11+i321−i321+i321−i3200000000000022222222−1−i3−1+i3−1−i3−1+i3-1-1-1-1-1-1-1-11+i321−i321+i321−i32000000000000
χ2722222222−1+i3−1−i3−1+i3−1−i3-1-1-1-1-1-1-1-11−i321+i321−i321+i3200000000000022222222−1+i3−1−i3−1+i3−1−i3-1-1-1-1-1-1-1-11−i321+i321−i321+i3200000000000022222222−1+i3−1−i3−1+i3−1−i3-1-1-1-1-1-1-1-11−i321+i321−i321+i32000000000000
χ284-44-40000-2-222-22-22000011-1-10000000000004-44-40000-2-222-22-22000011-1-10000000000004-44-40000-2-222-22-22000011-1-1000000000000
χ294-44-400001+i31−i3−1−i3−1+i3-22-220000−1−i32−1+i321+i321−i320000000000004-44-400001+i31−i3−1−i3−1+i3-22-220000−1−i32−1+i321+i321−i320000000000004-44-400001+i31−i3−1−i3−1+i3-22-220000−1−i32−1+i321+i321−i32000000000000
χ304-44-400001−i31+i3−1+i3−1−i3-22-220000−1+i32−1−i321−i321+i320000000000004-44-400001−i31+i3−1+i3−1−i3-22-220000−1+i32−1−i321−i321+i320000000000004-44-400001−i31+i3−1+i3−1−i3-22-220000−1+i32−1−i321−i321+i32000000000000
χ316666-2-2-2-20000-3-3-3-3111100000000000000006666-2-2-2-20000-3-3-3-3111100000000000000006666-2-2-2-20000-3-3-3-311110000000000000000
χ3266-2-222−2+4i−2−4i0000-3-311-1-11−2i1+2i000000000000000066-2-222−2+4i−2−4i0000-3-311-1-11−2i1+2i000000000000000066-2-222−2+4i−2−4i0000-3-311-1-11−2i1+2i0000000000000000
χ3366-2-222−2−4i−2+4i0000-3-311-1-11+2i1−2i000000000000000066-2-222−2−4i−2+4i0000-3-311-1-11+2i1−2i000000000000000066-2-222−2−4i−2+4i0000-3-311-1-11+2i1−2i0000000000000000
χ3466-2-2−2+4i−2−4i220000-3-3111−2i1+2i-1-1000000000000000066-2-2−2+4i−2−4i220000-3-3111−2i1+2i-1-1000000000000000066-2-2−2+4i−2−4i220000-3-3111−2i1+2i-1-10000000000000000
χ3566-2-2−2−4i−2+4i220000-3-3111+2i1−2i-1-1000000000000000066-2-2−2−4i−2+4i220000-3-3111+2i1−2i-1-1000000000000000066-2-2−2−4i−2+4i220000-3-3111+2i1−2i-1-10000000000000000
χ3612-12-4400000000-662-20000000000000000000012-12-4400000000-662-20000000000000000000012-12-4400000000-662-200000000000000000000
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
χ3811111111−1−i32−1+i32−1−i32−1+i3211111111−1−i32−1+i32−1−i32−1+i3211111111−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i321−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i321−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i321
χ3911111111−1+i32−1−i32−1+i32−1−i3211111111−1+i32−1−i32−1+i32−1−i3211111111−1+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−i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i321−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i321−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i321−1+i32
χ402-22-20000-1-1112-22-20000-1-1112-22-20000-1-111−1+i31−i3−1+i31−i300001−i321−i32−1+i32−1+i32−1+i31−i3−1+i31−i300001−i321−i32−1+i32−1+i32−1+i31−i3−1+i31−i300001−i321−i32−1+i32−1+i32−1−i31+i3−1−i31+i300001+i321+i32−1−i32−1−i32−1−i31+i3−1−i31+i300001+i321+i32−1−i32−1−i32−1−i31+i3−1−i31+i300001+i321+i32−1−i32−1−i32
χ412-22-200001+i321−i32−1−i32−1+i322-22-200001+i321−i32−1−i32−1+i322-22-200001+i321−i32−1−i32−1+i32−1+i31−i3−1+i31−i30000-11+i321−1−i32−1+i31−i3−1+i31−i30000-11+i321−1−i32−1+i31−i3−1+i31−i30000-11+i321−1−i32−1−i31+i3−1−i31+i300001−i32-1−1+i321−1−i31+i3−1−i31+i300001−i32-1−1+i321−1−i31+i3−1−i31+i300001−i32-1−1+i321
χ422-22-200001−i321+i32−1+i32−1−i322-22-200001−i321+i32−1+i32−1−i322-22-200001−i321+i32−1+i32−1−i32−1+i31−i3−1+i31−i300001+i32-1−1−i321−1+i31−i3−1+i31−i300001+i32-1−1−i321−1+i31−i3−1+i31−i300001+i32-1−1−i321−1−i31+i3−1−i31+i30000-11−i321−1+i32−1−i31+i3−1−i31+i30000-11−i321−1+i32−1−i31+i3−1−i31+i30000-11−i321−1+i32
χ433333-1-1-1-100003333-1-1-1-100003333-1-1-1-10000−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i320000−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i320000−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i320000−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i320000−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i320000−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i320000
χ4433-1-111−1+2i−1−2i000033-1-111−1+2i−1−2i000033-1-111−1+2i−1−2i0000−3+3i32−3+3i321−i321−i32−1+i32−1+i322ζ7+ζ10−2ζ7+ζ100000−3+3i32−3+3i321−i321−i32−1+i32−1+i322ζ7+ζ10−2ζ7+ζ100000−3+3i32−3+3i321−i321−i32−1+i32−1+i322ζ7+ζ10−2ζ7+ζ100000−3−3i32−3−3i321+i321+i32−1−i32−1−i32ζ2+2ζ11ζ2−2ζ110000−3−3i32−3−3i321+i321+i32−1−i32−1−i32ζ2+2ζ11ζ2−2ζ110000−3−3i32−3−3i321+i321+i32−1−i32−1−i32ζ2+2ζ11ζ2−2ζ110000
χ4533-1-111−1−2i−1+2i000033-1-111−1−2i−1+2i000033-1-111−1−2i−1+2i0000−3+3i32−3+3i321−i321−i32−1+i32−1+i32−2ζ7+ζ102ζ7+ζ100000−3+3i32−3+3i321−i321−i32−1+i32−1+i32−2ζ7+ζ102ζ7+ζ100000−3+3i32−3+3i321−i321−i32−1+i32−1+i32−2ζ7+ζ102ζ7+ζ100000−3−3i32−3−3i321+i321+i32−1−i32−1−i32ζ2−2ζ11ζ2+2ζ110000−3−3i32−3−3i321+i321+i32−1−i32−1−i32ζ2−2ζ11ζ2+2ζ110000−3−3i32−3−3i321+i321+i32−1−i32−1−i32ζ2−2ζ11ζ2+2ζ110000
χ4633-1-1−1+2i−1−2i11000033-1-1−1+2i−1−2i11000033-1-1−1+2i−1−2i110000−3+3i32−3+3i321−i321−i322ζ7+ζ10−2ζ7+ζ10−1+i32−1+i320000−3+3i32−3+3i321−i321−i322ζ7+ζ10−2ζ7+ζ10−1+i32−1+i320000−3+3i32−3+3i321−i321−i322ζ7+ζ10−2ζ7+ζ10−1+i32−1+i320000−3−3i32−3−3i321+i321+i32ζ2+2ζ11ζ2−2ζ11−1−i32−1−i320000−3−3i32−3−3i321+i321+i32ζ2+2ζ11ζ2−2ζ11−1−i32−1−i320000−3−3i32−3−3i321+i321+i32ζ2+2ζ11ζ2−2ζ11−1−i32−1−i320000
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χ762-22-20000-1-1112-22-20000-1-1112-22-20000-1-111−1−i31+i3−1−i31+i300001+i321+i32−1−i32−1−i32−1−i31+i3−1−i31+i300001+i321+i32−1−i32−1−i32−1−i31+i3−1−i31+i300001+i321+i32−1−i32−1−i32−1+i31−i3−1+i31−i300001−i321−i32−1+i32−1+i32−1+i31−i3−1+i31−i300001−i321−i32−1+i32−1+i32−1+i31−i3−1+i31−i300001−i321−i32−1+i32−1+i32
χ772-22-200001+i321−i32−1−i32−1+i322-22-200001+i321−i32−1−i32−1+i322-22-200001+i321−i32−1−i32−1+i32−1−i31+i3−1−i31+i300001−i32-1−1+i321−1−i31+i3−1−i31+i300001−i32-1−1+i321−1−i31+i3−1−i31+i300001−i32-1−1+i321−1+i31−i3−1+i31−i30000-11+i321−1−i32−1+i31−i3−1+i31−i30000-11+i321−1−i32−1+i31−i3−1+i31−i30000-11+i321−1−i32
χ782-22-200001−i321+i32−1+i32−1−i322-22-200001−i321+i32−1+i32−1−i322-22-200001−i321+i32−1+i32−1−i32−1−i31+i3−1−i31+i30000-11−i321−1+i32−1−i31+i3−1−i31+i30000-11−i321−1+i32−1−i31+i3−1−i31+i30000-11−i321−1+i32−1+i31−i3−1+i31−i300001+i32-1−1−i321−1+i31−i3−1+i31−i300001+i32-1−1−i321−1+i31−i3−1+i31−i300001+i32-1−1−i321
χ793333-1-1-1-100003333-1-1-1-100003333-1-1-1-10000−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i320000−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i320000−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i320000−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i320000−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i320000−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i320000
χ8033-1-111−1+2i−1−2i000033-1-111−1+2i−1−2i000033-1-111−1+2i−1−2i0000−3−3i32−3−3i321+i321+i32−1−i32−1−i32ζ2+2ζ11ζ2−2ζ110000−3−3i32−3−3i321+i321+i32−1−i32−1−i32ζ2+2ζ11ζ2−2ζ110000−3−3i32−3−3i321+i321+i32−1−i32−1−i32ζ2+2ζ11ζ2−2ζ110000−3+3i32−3+3i321−i321−i32−1+i32−1+i322ζ7+ζ10−2ζ7+ζ100000−3+3i32−3+3i321−i321−i32−1+i32−1+i322ζ7+ζ10−2ζ7+ζ100000−3+3i32−3+3i321−i321−i32−1+i32−1+i322ζ7+ζ10−2ζ7+ζ100000
χ8133-1-111−1−2i−1+2i000033-1-111−1−2i−1+2i000033-1-111−1−2i−1+2i0000−3−3i32−3−3i321+i321+i32−1−i32−1−i32ζ2−2ζ11ζ2+2ζ110000−3−3i32−3−3i321+i321+i32−1−i32−1−i32ζ2−2ζ11ζ2+2ζ110000−3−3i32−3−3i321+i321+i32−1−i32−1−i32ζ2−2ζ11ζ2+2ζ110000−3+3i32−3+3i321−i321−i32−1+i32−1+i32−2ζ7+ζ102ζ7+ζ100000−3+3i32−3+3i321−i321−i32−1+i32−1+i32−2ζ7+ζ102ζ7+ζ100000−3+3i32−3+3i321−i321−i32−1+i32−1+i32−2ζ7+ζ102ζ7+ζ100000
χ8233-1-1−1+2i−1−2i11000033-1-1−1+2i−1−2i11000033-1-1−1+2i−1−2i110000−3−3i32−3−3i321+i321+i32ζ2+2ζ11ζ2−2ζ11−1−i32−1−i320000−3−3i32−3−3i321+i321+i32ζ2+2ζ11ζ2−2ζ11−1−i32−1−i320000−3−3i32−3−3i321+i321+i32ζ2+2ζ11ζ2−2ζ11−1−i32−1−i320000−3+3i32−3+3i321−i321−i322ζ7+ζ10−2ζ7+ζ10−1+i32−1+i320000−3+3i32−3+3i321−i321−i322ζ7+ζ10−2ζ7+ζ10−1+i32−1+i320000−3+3i32−3+3i321−i321−i322ζ7+ζ10−2ζ7+ζ10−1+i32−1+i320000
χ8333-1-1−1−2i−1+2i11000033-1-1−1−2i−1+2i11000033-1-1−1−2i−1+2i110000−3−3i32−3−3i321+i321+i32ζ2−2ζ11ζ2+2ζ11−1−i32−1−i320000−3−3i32−3−3i321+i321+i32ζ2−2ζ11ζ2+2ζ11−1−i32−1−i320000−3−3i32−3−3i321+i321+i32ζ2−2ζ11ζ2+2ζ11−1−i32−1−i320000−3+3i32−3+3i321−i321−i32−2ζ7+ζ102ζ7+ζ10−1+i32−1+i320000−3+3i32−3+3i321−i321−i32−2ζ7+ζ102ζ7+ζ10−1+i32−1+i320000−3+3i32−3+3i321−i321−i32−2ζ7+ζ102ζ7+ζ10−1+i32−1+i320000
χ846-6-22000000006-6-22000000006-6-2200000000−3−3i33+3i31+i3−1−i300000000−3−3i33+3i31+i3−1−i300000000−3−3i33+3i31+i3−1−i300000000−3+3i33−3i31−i3−1+i300000000−3+3i33−3i31−i3−1+i300000000−3+3i33−3i31−i3−1+i300000000
χ85111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−1−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−i321+i321+i321+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+i32−1+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−i321−i321−i321−i32
χ8611111111−1−i32−1+i32−1−i32−1+i3211111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-1-11+i321−i321+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i3211+i321+i321+i321+i321+i321+i321+i321+i321−i32-11−i32-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i321−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i321−1−i321−i321−i321−i321−i321−i321−i321−i321−i32-11+i32-11+i32
χ8711111111−1+i32−1−i32−1+i32−1−i3211111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-1-11−i321+i321−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i321−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i321−1+i321+i321+i321+i321+i321+i321+i321+i321+i32-11−i32-11−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i3211−i321−i321−i321−i321−i321−i321−i321−i321+i32-11+i32-1
χ882-22-20000-1-1112-22-20000-1-111-22-22000011-1-1−1−i31+i3−1−i31+i300001+i321+i32−1−i32−1−i32−1−i31+i3−1−i31+i300001+i321+i32−1−i32−1−i321+i3−1−i31+i3−1−i30000−1−i32−1−i321+i321+i32−1+i31−i3−1+i31−i300001−i321−i32−1+i32−1+i32−1+i31−i3−1+i31−i300001−i321−i32−1+i32−1+i321−i3−1+i31−i3−1+i30000−1+i32−1+i321−i321−i32
χ892-22-200001+i321−i32−1−i32−1+i322-22-200001+i321−i32−1−i32−1+i32-22-220000−1−i32−1+i321+i321−i32−1−i31+i3−1−i31+i300001−i32-1−1+i321−1−i31+i3−1−i31+i300001−i32-1−1+i3211+i3−1−i31+i3−1−i30000−1+i3211−i32-1−1+i31−i3−1+i31−i30000-11+i321−1−i32−1+i31−i3−1+i31−i30000-11+i321−1−i321−i3−1+i31−i3−1+i300001−1−i32-11+i32
χ902-22-200001−i321+i32−1+i32−1−i322-22-200001−i321+i32−1+i32−1−i32-22-220000−1+i32−1−i321−i321+i32−1−i31+i3−1−i31+i30000-11−i321−1+i32−1−i31+i3−1−i31+i30000-11−i321−1+i321+i3−1−i31+i3−1−i300001−1+i32-11−i32−1+i31−i3−1+i31−i300001+i32-1−1−i321−1+i31−i3−1+i31−i300001+i32-1−1−i3211−i3−1+i31−i3−1+i30000−1−i3211+i32-1
χ913333-1-1-1-100003333-1-1-1-10000-3-3-3-311110000−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i320000−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i3200003+3i323+3i323+3i323+3i32−1−i32−1−i32−1−i32−1−i320000−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i320000−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i3200003−3i323−3i323−3i323−3i32−1+i32−1+i32−1+i32−1+i320000
χ9233-1-111−1+2i−1−2i000033-1-111−1+2i−1−2i0000-3-311-1-11−2i1+2i0000−3−3i32−3−3i321+i321+i32−1−i32−1−i32ζ2+2ζ11ζ2−2ζ110000−3−3i32−3−3i321+i321+i32−1−i32−1−i32ζ2+2ζ11ζ2−2ζ1100003+3i323+3i32−1−i32−1−i321+i321+i32−ζ2−2ζ11−ζ2+2ζ110000−3+3i32−3+3i321−i321−i32−1+i32−1+i322ζ7+ζ10−2ζ7+ζ100000−3+3i32−3+3i321−i321−i32−1+i32−1+i322ζ7+ζ10−2ζ7+ζ1000003−3i323−3i32−1+i32−1+i321−i321−i32−2ζ7−ζ102ζ7−ζ100000
χ9333-1-111−1−2i−1+2i000033-1-111−1−2i−1+2i0000-3-311-1-11+2i1−2i0000−3−3i32−3−3i321+i321+i32−1−i32−1−i32ζ2−2ζ11ζ2+2ζ110000−3−3i32−3−3i321+i321+i32−1−i32−1−i32ζ2−2ζ11ζ2+2ζ1100003+3i323+3i32−1−i32−1−i321+i321+i32−ζ2+2ζ11−ζ2−2ζ110000−3+3i32−3+3i321−i321−i32−1+i32−1+i32−2ζ7+ζ102ζ7+ζ100000−3+3i32−3+3i321−i321−i32−1+i32−1+i32−2ζ7+ζ102ζ7+ζ1000003−3i323−3i32−1+i32−1+i321−i321−i322ζ7−ζ10−2ζ7−ζ100000
χ9433-1-1−1+2i−1−2i11000033-1-1−1+2i−1−2i110000-3-3111−2i1+2i-1-10000−3−3i32−3−3i321+i321+i32ζ2+2ζ11ζ2−2ζ11−1−i32−1−i320000−3−3i32−3−3i321+i321+i32ζ2+2ζ11ζ2−2ζ11−1−i32−1−i3200003+3i323+3i32−1−i32−1−i32−ζ2−2ζ11−ζ2+2ζ111+i321+i320000−3+3i32−3+3i321−i321−i322ζ7+ζ10−2ζ7+ζ10−1+i32−1+i320000−3+3i32−3+3i321−i321−i322ζ7+ζ10−2ζ7+ζ10−1+i32−1+i3200003−3i323−3i32−1+i32−1+i32−2ζ7−ζ102ζ7−ζ101−i321−i320000
χ9533-1-1−1−2i−1+2i11000033-1-1−1−2i−1+2i110000-3-3111+2i1−2i-1-10000−3−3i32−3−3i321+i321+i32ζ2−2ζ11ζ2+2ζ11−1−i32−1−i320000−3−3i32−3−3i321+i321+i32ζ2−2ζ11ζ2+2ζ11−1−i32−1−i3200003+3i323+3i32−1−i32−1−i32−ζ2+2ζ11−ζ2−2ζ111+i321+i320000−3+3i32−3+3i321−i321−i32−2ζ7+ζ102ζ7+ζ10−1+i32−1+i320000−3+3i32−3+3i321−i321−i32−2ζ7+ζ102ζ7+ζ10−1+i32−1+i3200003−3i323−3i32−1+i32−1+i322ζ7−ζ10−2ζ7−ζ101−i321−i320000
χ966-6-22000000006-6-2200000000-662-200000000−3−3i33+3i31+i3−1−i300000000−3−3i33+3i31+i3−1−i3000000003+3i3−3−3i3−1−i31+i300000000−3+3i33−3i31−i3−1+i300000000−3+3i33−3i31−i3−1+i3000000003−3i3−3+3i3−1+i31−i300000000
χ97222222222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32000000000000
χ9822222222−1−i3−1+i3−1−i3−1+i3-1-1-1-1-1-1-1-11+i321−i321+i321−i32000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i321−i32-11−i32-1000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i32−1−i32−1−i31−i321−i321−i321−i321−i321−i321−i321−i32-11+i32-11+i32000000000000
χ9922222222−1+i3−1−i3−1+i3−1−i3-1-1-1-1-1-1-1-11−i321+i321−i321+i32000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i32−1+i32−1+i31+i321+i321+i321+i321+i321+i321+i321+i32-11−i32-11−i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321+i32-11+i32-1000000000000
χ1004-44-40000-2-222-22-22000011-1-1000000000000−2−2i32+2i3−2−2i32+2i300001+i31+i3−1−i3−1−i31+i3−1−i31+i3−1−i30000−1−i32−1−i321+i321+i32000000000000−2+2i32−2i3−2+2i32−2i300001−i31−i3−1+i3−1+i31−i3−1+i31−i3−1+i30000−1+i32−1+i321−i321−i32000000000000
χ1014-44-400001+i31−i3−1−i3−1+i3-22-220000−1−i32−1+i321+i321−i32000000000000−2−2i32+2i3−2−2i32+2i300001−i3-2−1+i321+i3−1−i31+i3−1−i30000−1+i3211−i32-1000000000000−2+2i32−2i3−2+2i32−2i30000-21+i32−1−i31−i3−1+i31−i3−1+i300001−1−i32-11+i32000000000000
χ1024-44-400001−i31+i3−1+i3−1−i3-22-220000−1+i32−1−i321−i321+i32000000000000−2−2i32+2i3−2−2i32+2i30000-21−i32−1+i31+i3−1−i31+i3−1−i300001−1+i32-11−i32000000000000−2+2i32−2i3−2+2i32−2i300001+i3-2−1−i321−i3−1+i31−i3−1+i30000−1−i3211+i32-1000000000000
χ1036666-2-2-2-20000-3-3-3-311110000000000000000−3−3i3−3−3i3−3−3i3−3−3i31+i31+i31+i31+i300003+3i323+3i323+3i323+3i32−1−i32−1−i32−1−i32−1−i320000000000000000−3+3i3−3+3i3−3+3i3−3+3i31−i31−i31−i31−i300003−3i323−3i323−3i323−3i32−1+i32−1+i32−1+i32−1+i320000000000000000
χ10466-2-222−2+4i−2−4i0000-3-311-1-11−2i1+2i0000000000000000−3−3i3−3−3i31+i31+i3−1−i3−1−i32ζ2+4ζ112ζ2−4ζ1100003+3i323+3i32−1−i32−1−i321+i321+i32−ζ2−2ζ11−ζ2+2ζ110000000000000000−3+3i3−3+3i31−i31−i3−1+i3−1+i34ζ7+2ζ10−4ζ7+2ζ1000003−3i323−3i32−1+i32−1+i321−i321−i32−2ζ7−ζ102ζ7−ζ100000000000000000
χ10566-2-222−2−4i−2+4i0000-3-311-1-11+2i1−2i0000000000000000−3−3i3−3−3i31+i31+i3−1−i3−1−i32ζ2−4ζ112ζ2+4ζ1100003+3i323+3i32−1−i32−1−i321+i321+i32−ζ2+2ζ11−ζ2−2ζ110000000000000000−3+3i3−3+3i31−i31−i3−1+i3−1+i3−4ζ7+2ζ104ζ7+2ζ1000003−3i323−3i32−1+i32−1+i321−i321−i322ζ7−ζ10−2ζ7−ζ100000000000000000
χ10666-2-2−2+4i−2−4i220000-3-3111−2i1+2i-1-10000000000000000−3−3i3−3−3i31+i31+i32ζ2+4ζ112ζ2−4ζ11−1−i3−1−i300003+3i323+3i32−1−i32−1−i32−ζ2−2ζ11−ζ2+2ζ111+i321+i320000000000000000−3+3i3−3+3i31−i31−i34ζ7+2ζ10−4ζ7+2ζ10−1+i3−1+i300003−3i323−3i32−1+i32−1+i32−2ζ7−ζ102ζ7−ζ101−i321−i320000000000000000
χ10766-2-2−2−4i−2+4i220000-3-3111+2i1−2i-1-10000000000000000−3−3i3−3−3i31+i31+i32ζ2−4ζ112ζ2+4ζ11−1−i3−1−i300003+3i323+3i32−1−i32−1−i32−ζ2+2ζ11−ζ2−2ζ111+i321+i320000000000000000−3+3i3−3+3i31−i31−i3−4ζ7+2ζ104ζ7+2ζ10−1+i3−1+i300003−3i323−3i32−1+i32−1+i322ζ7−ζ10−2ζ7−ζ101−i321−i320000000000000000
χ10812-12-4400000000-662-200000000000000000000−6−6i36+6i32+2i3−2−2i3000000003+3i3−3−3i3−1−i31+i300000000000000000000−6+6i36−6i32−2i3−2+2i3000000003−3i3−3+3i3−1+i31−i300000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.