Finite Group Databasebeta

← Group #13157023

Character table — Group #13157023

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size112233336666669912121212161616161818181832323232484848481122333366666699121212121616161618181818323232324848484811223333666666991212121216161616181818183232323248484848
order123622444444664412121212336644443366121212123636661212121212126612121212121233661212121233661212121236366612121212121266121212121212336612121212336612121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111111111111111−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111111111111111−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ311111111111111111111−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211111111111111111111−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211111111111111111111−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ4111111-1-1111111-1-111111111-1-1-1-11111-1-1-1-1111111-1-1111111-1-111111111-1-1-1-11111-1-1-1-1111111-1-1111111-1-111111111-1-1-1-11111-1-1-1-1
χ5111111-1-1111111-1-11111−1−i32−1+i32−1−i32−1+i32-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32111111-1-1111111-1-11111−1−i32−1+i32−1−i32−1+i32-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32111111-1-1111111-1-11111−1−i32−1+i32−1−i32−1+i32-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32
χ6111111-1-1111111-1-11111−1+i32−1−i32−1+i32−1−i32-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32111111-1-1111111-1-11111−1+i32−1−i32−1+i32−1−i32-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32111111-1-1111111-1-11111−1+i32−1−i32−1+i32−1−i32-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32
χ722-1-122002222-1-100-1-1-1-122220000-1-1-1-1000022-1-122002222-1-100-1-1-1-122220000-1-1-1-1000022-1-122002222-1-100-1-1-1-122220000-1-1-1-10000
χ822-1-122002222-1-100-1-1-1-1−1−i3−1+i3−1−i3−1+i300001+i321−i321+i321−i32000022-1-122002222-1-100-1-1-1-1−1−i3−1+i3−1−i3−1+i300001+i321−i321+i321−i32000022-1-122002222-1-100-1-1-1-1−1−i3−1+i3−1−i3−1+i300001+i321−i321+i321−i320000
χ922-1-122002222-1-100-1-1-1-1−1+i3−1−i3−1+i3−1−i300001−i321+i321−i321+i32000022-1-122002222-1-100-1-1-1-1−1+i3−1−i3−1+i3−1−i300001−i321+i321−i321+i32000022-1-122002222-1-100-1-1-1-1−1+i3−1−i3−1+i3−1−i300001−i321+i321−i321+i320000
χ102-22-2-222i−2i00002-22i−2i0000-1-1110000-1-111i−ii−i2-22-2-222i−2i00002-22i−2i0000-1-1110000-1-111i−ii−i2-22-2-222i−2i00002-22i−2i0000-1-1110000-1-111i−ii−i
χ112-22-2-222i−2i00002-22i−2i00001+i321−i32−1−i32−1+i3200001+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ72-22-2-222i−2i00002-22i−2i00001+i321−i32−1−i32−1+i3200001+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ72-22-2-222i−2i00002-22i−2i00001+i321−i32−1−i32−1+i3200001+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7
χ122-22-2-222i−2i00002-22i−2i00001−i321+i32−1+i32−1−i3200001−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ112-22-2-222i−2i00002-22i−2i00001−i321+i32−1+i32−1−i3200001−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ112-22-2-222i−2i00002-22i−2i00001−i321+i32−1+i32−1−i3200001−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11
χ132-22-2-22−2i2i00002-2−2i2i0000-1-1110000-1-111−ii−ii2-22-2-22−2i2i00002-2−2i2i0000-1-1110000-1-111−ii−ii2-22-2-22−2i2i00002-2−2i2i0000-1-1110000-1-111−ii−ii
χ142-22-2-22−2i2i00002-2−2i2i00001+i321−i32−1−i32−1+i3200001+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ72-22-2-22−2i2i00002-2−2i2i00001+i321−i32−1−i32−1+i3200001+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ72-22-2-22−2i2i00002-2−2i2i00001+i321−i32−1−i32−1+i3200001+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7
χ152-22-2-22−2i2i00002-2−2i2i00001−i321+i32−1+i32−1−i3200001−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ112-22-2-22−2i2i00002-2−2i2i00001−i321+i32−1+i32−1−i3200001−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ112-22-2-22−2i2i00002-2−2i2i00001−i321+i32−1+i32−1−i3200001−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ11
χ1633333333-1-1-1-13333-1-1-1-10000-1-1-1-10000000033333333-1-1-1-13333-1-1-1-10000-1-1-1-10000000033333333-1-1-1-13333-1-1-1-10000-1-1-1-100000000
χ17333333-3-3-1-1-1-133-3-3-1-1-1-10000111100000000333333-3-3-1-1-1-133-3-3-1-1-1-10000111100000000333333-3-3-1-1-1-133-3-3-1-1-1-10000111100000000
χ183333-1-13311−1+2i−1−2i-1-1-1-111−1+2i−1−2i000011−1+2i−1−2i000000003333-1-13311−1+2i−1−2i-1-1-1-111−1+2i−1−2i000011−1+2i−1−2i000000003333-1-13311−1+2i−1−2i-1-1-1-111−1+2i−1−2i000011−1+2i−1−2i00000000
χ193333-1-13311−1−2i−1+2i-1-1-1-111−1−2i−1+2i000011−1−2i−1+2i000000003333-1-13311−1−2i−1+2i-1-1-1-111−1−2i−1+2i000011−1−2i−1+2i000000003333-1-13311−1−2i−1+2i-1-1-1-111−1−2i−1+2i000011−1−2i−1+2i00000000
χ203333-1-133−1+2i−1−2i11-1-1-1-1−1+2i−1−2i110000−1+2i−1−2i11000000003333-1-133−1+2i−1−2i11-1-1-1-1−1+2i−1−2i110000−1+2i−1−2i11000000003333-1-133−1+2i−1−2i11-1-1-1-1−1+2i−1−2i110000−1+2i−1−2i1100000000
χ213333-1-133−1−2i−1+2i11-1-1-1-1−1−2i−1+2i110000−1−2i−1+2i11000000003333-1-133−1−2i−1+2i11-1-1-1-1−1−2i−1+2i110000−1−2i−1+2i11000000003333-1-133−1−2i−1+2i11-1-1-1-1−1−2i−1+2i110000−1−2i−1+2i1100000000
χ223333-1-1-3-311−1+2i−1−2i-1-11111−1+2i−1−2i0000-1-11−2i1+2i000000003333-1-1-3-311−1+2i−1−2i-1-11111−1+2i−1−2i0000-1-11−2i1+2i000000003333-1-1-3-311−1+2i−1−2i-1-11111−1+2i−1−2i0000-1-11−2i1+2i00000000
χ233333-1-1-3-311−1−2i−1+2i-1-11111−1−2i−1+2i0000-1-11+2i1−2i000000003333-1-1-3-311−1−2i−1+2i-1-11111−1−2i−1+2i0000-1-11+2i1−2i000000003333-1-1-3-311−1−2i−1+2i-1-11111−1−2i−1+2i0000-1-11+2i1−2i00000000
χ243333-1-1-3-3−1+2i−1−2i11-1-111−1+2i−1−2i1100001−2i1+2i-1-1000000003333-1-1-3-3−1+2i−1−2i11-1-111−1+2i−1−2i1100001−2i1+2i-1-1000000003333-1-1-3-3−1+2i−1−2i11-1-111−1+2i−1−2i1100001−2i1+2i-1-100000000
χ253333-1-1-3-3−1−2i−1+2i11-1-111−1−2i−1+2i1100001+2i1−2i-1-1000000003333-1-1-3-3−1−2i−1+2i11-1-111−1−2i−1+2i1100001+2i1−2i-1-1000000003333-1-1-3-3−1−2i−1+2i11-1-111−1−2i−1+2i1100001+2i1−2i-1-100000000
χ264-4-22-44000000-22000000-2-222000011-1-100004-4-22-44000000-22000000-2-222000011-1-100004-4-22-44000000-22000000-2-222000011-1-10000
χ274-4-22-44000000-220000001+i31−i3−1−i3−1+i30000−1−i32−1+i321+i321−i3200004-4-22-44000000-220000001+i31−i3−1−i3−1+i30000−1−i32−1+i321+i321−i3200004-4-22-44000000-220000001+i31−i3−1−i3−1+i30000−1−i32−1+i321+i321−i320000
χ284-4-22-44000000-220000001−i31+i3−1+i3−1−i30000−1+i32−1−i321−i321+i3200004-4-22-44000000-220000001−i31+i3−1+i3−1−i30000−1+i32−1−i321−i321+i3200004-4-22-44000000-220000001−i31+i3−1+i3−1−i30000−1+i32−1−i321−i321+i320000
χ2966-3-36600-2-2-2-2-3-3001111000000000000000066-3-36600-2-2-2-2-3-3001111000000000000000066-3-36600-2-2-2-2-3-30011110000000000000000
χ3066-3-3-2-20022−2+4i−2−4i1100-1-11−2i1+2i000000000000000066-3-3-2-20022−2+4i−2−4i1100-1-11−2i1+2i000000000000000066-3-3-2-20022−2+4i−2−4i1100-1-11−2i1+2i0000000000000000
χ3166-3-3-2-20022−2−4i−2+4i1100-1-11+2i1−2i000000000000000066-3-3-2-20022−2−4i−2+4i1100-1-11+2i1−2i000000000000000066-3-3-2-20022−2−4i−2+4i1100-1-11+2i1−2i0000000000000000
χ3266-3-3-2-200−2+4i−2−4i2211001−2i1+2i-1-1000000000000000066-3-3-2-200−2+4i−2−4i2211001−2i1+2i-1-1000000000000000066-3-3-2-200−2+4i−2−4i2211001−2i1+2i-1-10000000000000000
χ3366-3-3-2-200−2−4i−2+4i2211001+2i1−2i-1-1000000000000000066-3-3-2-200−2−4i−2+4i2211001+2i1−2i-1-1000000000000000066-3-3-2-200−2−4i−2+4i2211001+2i1−2i-1-10000000000000000
χ346-66-62-26i−6i0000-22−2i2i000000000000000000006-66-62-26i−6i0000-22−2i2i000000000000000000006-66-62-26i−6i0000-22−2i2i00000000000000000000
χ356-66-62-2−6i6i0000-222i−2i000000000000000000006-66-62-2−6i6i0000-222i−2i000000000000000000006-66-62-2−6i6i0000-222i−2i00000000000000000000
χ3612-12-664-40000002-2000000000000000000000012-12-664-40000002-2000000000000000000000012-12-664-40000002-20000000000000000000000
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
χ3811111111111111111111−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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+i321−1−i321−1−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+i321−1+i321−1−i32−1−i32−1−i32−1−i32−1+i321−1+i321−1+i32−1+i3211
χ3911111111111111111111−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i321−1−i321−1−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−i321−1+i321−1+i32−1−i32−1−i32−1−i32−1−i321−1+i321−1+i3211−1+i32−1+i32
χ40111111-1-1111111-1-111111111-1-1-1-11111-1-1-1-1−1+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−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+i321−i321−i321−i321−i32−1−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+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−i321+i321+i321+i321+i32
χ41111111-1-1111111-1-11111−1−i32−1+i32−1−i32−1+i32-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1+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−i32−1+i32−1+i32−1+i32−1+i321−1−i321−1−i321−i321−i321−i321−i321−1−i321−1−i32-1-11+i321+i32−1−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+i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i3211+i321+i321+i321+i32−1+i321−1+i3211−i321−i32-1-1
χ42111111-1-1111111-1-11111−1+i32−1−i32−1+i32−1−i32-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−1+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−i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i3211−i321−i321−i321−i32−1−i321−1−i3211+i321+i32-1-1−1−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+i32−1−i32−1−i32−1−i32−1−i321−1+i321−1+i321+i321+i321+i321+i321−1+i321−1+i32-1-11−i321−i32
χ4322-1-122002222-1-100-1-1-1-122220000-1-1-1-10000−1+i3−1+i31−i321−i32−1+i3−1+i300−1+i3−1+i3−1+i3−1+i31−i321−i32001−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i300001−i321−i321−i321−i320000−1−i3−1−i31+i321+i32−1−i3−1−i300−1−i3−1−i3−1−i3−1−i31+i321+i32001+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i300001+i321+i321+i321+i320000
χ4422-1-122002222-1-100-1-1-1-1−1−i3−1+i3−1−i3−1+i300001+i321−i321+i321−i320000−1+i3−1+i31−i321−i32−1+i3−1+i300−1+i3−1+i3−1+i3−1+i31−i321−i32001−i321−i321−i321−i322−1−i32−1−i30000-11+i32-11+i320000−1−i3−1−i31+i321+i32−1−i3−1−i300−1−i3−1−i3−1−i3−1−i31+i321+i32001+i321+i321+i321+i32−1+i32−1+i3200001−i32-11−i32-10000
χ4522-1-122002222-1-100-1-1-1-1−1+i3−1−i3−1+i3−1−i300001−i321+i321−i321+i320000−1+i3−1+i31−i321−i32−1+i3−1+i300−1+i3−1+i3−1+i3−1+i31−i321−i32001−i321−i321−i321−i32−1−i32−1−i3200001+i32-11+i32-10000−1−i3−1−i31+i321+i32−1−i3−1−i300−1−i3−1−i3−1−i3−1−i31+i321+i32001+i321+i321+i321+i322−1+i32−1+i30000-11−i32-11−i320000
χ462-22-2-222i−2i00002-22i−2i0000-1-1110000-1-111i−ii−i−1+i31−i3−1+i31−i31−i3−1+i32ζ7−2ζ70000−1+i31−i32ζ7−2ζ700001−i321−i32−1+i32−1+i3200001−i321−i32−1+i32−1+i32ζ7−ζ7ζ7−ζ7−1−i31+i3−1−i31+i31+i3−1−i32ζ11−2ζ110000−1−i31+i32ζ11−2ζ1100001+i321+i32−1−i32−1−i3200001+i321+i32−1−i32−1−i32ζ11−ζ11ζ11−ζ11
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χ76111111-1-1111111-1-111111111-1-1-1-11111-1-1-1-1−1−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+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−i321+i321+i321+i321+i32−1+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−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+i321−i321−i321−i321−i32
χ77111111-1-1111111-1-11111−1−i32−1+i32−1−i32−1+i32-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1−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+i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i3211+i321+i321+i321+i32−1+i321−1+i3211−i321−i32-1-1−1+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−i32−1+i32−1+i32−1+i32−1+i321−1−i321−1−i321−i321−i321−i321−i321−1−i321−1−i32-1-11+i321+i32
χ78111111-1-1111111-1-11111−1+i32−1−i32−1+i32−1−i32-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−1−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+i32−1−i32−1−i32−1−i32−1−i321−1+i321−1+i321+i321+i321+i321+i321−1+i321−1+i32-1-11−i321−i32−1+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−i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i3211−i321−i321−i321−i32−1−i321−1−i3211+i321+i32-1-1
χ7922-1-122002222-1-100-1-1-1-122220000-1-1-1-10000−1−i3−1−i31+i321+i32−1−i3−1−i300−1−i3−1−i3−1−i3−1−i31+i321+i32001+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i300001+i321+i321+i321+i320000−1+i3−1+i31−i321−i32−1+i3−1+i300−1+i3−1+i3−1+i3−1+i31−i321−i32001−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i300001−i321−i321−i321−i320000
χ8022-1-122002222-1-100-1-1-1-1−1−i3−1+i3−1−i3−1+i300001+i321−i321+i321−i320000−1−i3−1−i31+i321+i32−1−i3−1−i300−1−i3−1−i3−1−i3−1−i31+i321+i32001+i321+i321+i321+i32−1+i32−1+i3200001−i32-11−i32-10000−1+i3−1+i31−i321−i32−1+i3−1+i300−1+i3−1+i3−1+i3−1+i31−i321−i32001−i321−i321−i321−i322−1−i32−1−i30000-11+i32-11+i320000
χ8122-1-122002222-1-100-1-1-1-1−1+i3−1−i3−1+i3−1−i300001−i321+i321−i321+i320000−1−i3−1−i31+i321+i32−1−i3−1−i300−1−i3−1−i3−1−i3−1−i31+i321+i32001+i321+i321+i321+i322−1+i32−1+i30000-11−i32-11−i320000−1+i3−1+i31−i321−i32−1+i3−1+i300−1+i3−1+i3−1+i3−1+i31−i321−i32001−i321−i321−i321−i32−1−i32−1−i3200001+i32-11+i32-10000
χ822-22-2-222i−2i00002-22i−2i0000-1-1110000-1-111i−ii−i−1−i31+i3−1−i31+i31+i3−1−i32ζ11−2ζ110000−1−i31+i32ζ11−2ζ1100001+i321+i32−1−i32−1−i3200001+i321+i32−1−i32−1−i32ζ11−ζ11ζ11−ζ11−1+i31−i3−1+i31−i31−i3−1+i32ζ7−2ζ70000−1+i31−i32ζ7−2ζ700001−i321−i32−1+i32−1+i3200001−i321−i32−1+i32−1+i32ζ7−ζ7ζ7−ζ7
χ832-22-2-222i−2i00002-22i−2i00001+i321−i32−1−i32−1+i3200001+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7−1−i31+i3−1−i31+i31+i3−1−i32ζ11−2ζ110000−1−i31+i32ζ11−2ζ1100001−i32-1−1+i32100001−i32-1−1+i321ζ7−ζ7i−i−1+i31−i3−1+i31−i31−i3−1+i32ζ7−2ζ70000−1+i31−i32ζ7−2ζ70000-11+i321−1−i320000-11+i321−1−i32i−iζ11−ζ11
χ842-22-2-222i−2i00002-22i−2i00001−i321+i32−1+i32−1−i3200001−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11−1−i31+i3−1−i31+i31+i3−1−i32ζ11−2ζ110000−1−i31+i32ζ11−2ζ110000-11−i321−1+i320000-11−i321−1+i32i−iζ7−ζ7−1+i31−i3−1+i31−i31−i3−1+i32ζ7−2ζ70000−1+i31−i32ζ7−2ζ700001+i32-1−1−i32100001+i32-1−1−i321ζ11−ζ11i−i
χ852-22-2-22−2i2i00002-2−2i2i0000-1-1110000-1-111−ii−ii−1−i31+i3−1−i31+i31+i3−1−i3−2ζ112ζ110000−1−i31+i3−2ζ112ζ1100001+i321+i32−1−i32−1−i3200001+i321+i32−1−i32−1−i32−ζ11ζ11−ζ11ζ11−1+i31−i3−1+i31−i31−i3−1+i3−2ζ72ζ70000−1+i31−i3−2ζ72ζ700001−i321−i32−1+i32−1+i3200001−i321−i32−1+i32−1+i32−ζ7ζ7−ζ7ζ7
χ862-22-2-22−2i2i00002-2−2i2i00001+i321−i32−1−i32−1+i3200001+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7−1−i31+i3−1−i31+i31+i3−1−i3−2ζ112ζ110000−1−i31+i3−2ζ112ζ1100001−i32-1−1+i32100001−i32-1−1+i321−ζ7ζ7−ii−1+i31−i3−1+i31−i31−i3−1+i3−2ζ72ζ70000−1+i31−i3−2ζ72ζ70000-11+i321−1−i320000-11+i321−1−i32−ii−ζ11ζ11
χ872-22-2-22−2i2i00002-2−2i2i00001−i321+i32−1+i32−1−i3200001−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ11−1−i31+i3−1−i31+i31+i3−1−i3−2ζ112ζ110000−1−i31+i3−2ζ112ζ110000-11−i321−1+i320000-11−i321−1+i32−ii−ζ7ζ7−1+i31−i3−1+i31−i31−i3−1+i3−2ζ72ζ70000−1+i31−i3−2ζ72ζ700001+i32-1−1−i32100001+i32-1−1−i321−ζ11ζ11−ii
χ8833333333-1-1-1-13333-1-1-1-10000-1-1-1-100000000−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i3200001+i321+i321+i321+i3200000000−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i3200001−i321−i321−i321−i3200000000
χ89333333-3-3-1-1-1-133-3-3-1-1-1-10000111100000000−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i321+i321+i321+i321+i32−3−3i32−3−3i323+3i323+3i321+i321+i321+i321+i320000−1−i32−1−i32−1−i32−1−i3200000000−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i321−i321−i321−i321−i32−3+3i32−3+3i323−3i323−3i321−i321−i321−i321−i320000−1+i32−1+i32−1+i32−1+i3200000000
χ903333-1-13311−1+2i−1−2i-1-1-1-111−1+2i−1−2i000011−1+2i−1−2i00000000−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−3−3i32−3−3i32−1−i32−1−i32ζ2+2ζ11ζ2−2ζ111+i321+i321+i321+i32−1−i32−1−i32ζ2+2ζ11ζ2−2ζ110000−1−i32−1−i32ζ2+2ζ11ζ2−2ζ1100000000−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−3+3i32−3+3i32−1+i32−1+i322ζ7+ζ10−2ζ7+ζ101−i321−i321−i321−i32−1+i32−1+i322ζ7+ζ10−2ζ7+ζ100000−1+i32−1+i322ζ7+ζ10−2ζ7+ζ1000000000
χ913333-1-13311−1−2i−1+2i-1-1-1-111−1−2i−1+2i000011−1−2i−1+2i00000000−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−3−3i32−3−3i32−1−i32−1−i32ζ2−2ζ11ζ2+2ζ111+i321+i321+i321+i32−1−i32−1−i32ζ2−2ζ11ζ2+2ζ110000−1−i32−1−i32ζ2−2ζ11ζ2+2ζ1100000000−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−3+3i32−3+3i32−1+i32−1+i32−2ζ7+ζ102ζ7+ζ101−i321−i321−i321−i32−1+i32−1+i32−2ζ7+ζ102ζ7+ζ100000−1+i32−1+i32−2ζ7+ζ102ζ7+ζ1000000000
χ923333-1-133−1+2i−1−2i11-1-1-1-1−1+2i−1−2i110000−1+2i−1−2i1100000000−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−3−3i32−3−3i32ζ2+2ζ11ζ2−2ζ11−1−i32−1−i321+i321+i321+i321+i32ζ2+2ζ11ζ2−2ζ11−1−i32−1−i320000ζ2+2ζ11ζ2−2ζ11−1−i32−1−i3200000000−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−3+3i32−3+3i322ζ7+ζ10−2ζ7+ζ10−1+i32−1+i321−i321−i321−i321−i322ζ7+ζ10−2ζ7+ζ10−1+i32−1+i3200002ζ7+ζ10−2ζ7+ζ10−1+i32−1+i3200000000
χ933333-1-133−1−2i−1+2i11-1-1-1-1−1−2i−1+2i110000−1−2i−1+2i1100000000−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−3−3i32−3−3i32ζ2−2ζ11ζ2+2ζ11−1−i32−1−i321+i321+i321+i321+i32ζ2−2ζ11ζ2+2ζ11−1−i32−1−i320000ζ2−2ζ11ζ2+2ζ11−1−i32−1−i3200000000−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−3+3i32−3+3i32−2ζ7+ζ102ζ7+ζ10−1+i32−1+i321−i321−i321−i321−i32−2ζ7+ζ102ζ7+ζ10−1+i32−1+i320000−2ζ7+ζ102ζ7+ζ10−1+i32−1+i3200000000
χ943333-1-1-3-311−1+2i−1−2i-1-11111−1+2i−1−2i0000-1-11−2i1+2i00000000−3−3i32−3−3i32−3−3i32−3−3i321+i321+i323+3i323+3i32−1−i32−1−i32ζ2+2ζ11ζ2−2ζ111+i321+i32−1−i32−1−i32−1−i32−1−i32ζ2+2ζ11ζ2−2ζ1100001+i321+i32−ζ2−2ζ11−ζ2+2ζ1100000000−3+3i32−3+3i32−3+3i32−3+3i321−i321−i323−3i323−3i32−1+i32−1+i322ζ7+ζ10−2ζ7+ζ101−i321−i32−1+i32−1+i32−1+i32−1+i322ζ7+ζ10−2ζ7+ζ1000001−i321−i32−2ζ7−ζ102ζ7−ζ1000000000
χ953333-1-1-3-311−1−2i−1+2i-1-11111−1−2i−1+2i0000-1-11+2i1−2i00000000−3−3i32−3−3i32−3−3i32−3−3i321+i321+i323+3i323+3i32−1−i32−1−i32ζ2−2ζ11ζ2+2ζ111+i321+i32−1−i32−1−i32−1−i32−1−i32ζ2−2ζ11ζ2+2ζ1100001+i321+i32−ζ2+2ζ11−ζ2−2ζ1100000000−3+3i32−3+3i32−3+3i32−3+3i321−i321−i323−3i323−3i32−1+i32−1+i32−2ζ7+ζ102ζ7+ζ101−i321−i32−1+i32−1+i32−1+i32−1+i32−2ζ7+ζ102ζ7+ζ1000001−i321−i322ζ7−ζ10−2ζ7−ζ1000000000
χ963333-1-1-3-3−1+2i−1−2i11-1-111−1+2i−1−2i1100001−2i1+2i-1-100000000−3−3i32−3−3i32−3−3i32−3−3i321+i321+i323+3i323+3i32ζ2+2ζ11ζ2−2ζ11−1−i32−1−i321+i321+i32−1−i32−1−i32ζ2+2ζ11ζ2−2ζ11−1−i32−1−i320000−ζ2−2ζ11−ζ2+2ζ111+i321+i3200000000−3+3i32−3+3i32−3+3i32−3+3i321−i321−i323−3i323−3i322ζ7+ζ10−2ζ7+ζ10−1+i32−1+i321−i321−i32−1+i32−1+i322ζ7+ζ10−2ζ7+ζ10−1+i32−1+i320000−2ζ7−ζ102ζ7−ζ101−i321−i3200000000
χ973333-1-1-3-3−1−2i−1+2i11-1-111−1−2i−1+2i1100001+2i1−2i-1-100000000−3−3i32−3−3i32−3−3i32−3−3i321+i321+i323+3i323+3i32ζ2−2ζ11ζ2+2ζ11−1−i32−1−i321+i321+i32−1−i32−1−i32ζ2−2ζ11ζ2+2ζ11−1−i32−1−i320000−ζ2+2ζ11−ζ2−2ζ111+i321+i3200000000−3+3i32−3+3i32−3+3i32−3+3i321−i321−i323−3i323−3i32−2ζ7+ζ102ζ7+ζ10−1+i32−1+i321−i321−i32−1+i32−1+i32−2ζ7+ζ102ζ7+ζ10−1+i32−1+i3200002ζ7−ζ10−2ζ7−ζ101−i321−i3200000000
χ984-4-22-44000000-22000000-2-222000011-1-10000−2−2i32+2i31+i3−1−i32+2i3−2−2i30000001+i3−1−i30000001+i31+i3−1−i3−1−i30000−1−i32−1−i321+i321+i320000−2+2i32−2i31−i3−1+i32−2i3−2+2i30000001−i3−1+i30000001−i31−i3−1+i3−1+i30000−1+i32−1+i321−i321−i320000
χ994-4-22-44000000-220000001+i31−i3−1−i3−1+i30000−1−i32−1+i321+i321−i320000−2−2i32+2i31+i3−1−i32+2i3−2−2i30000001+i3−1−i30000001−i3-2−1+i320000−1+i3211−i32-10000−2+2i32−2i31−i3−1+i32−2i3−2+2i30000001−i3−1+i3000000-21+i32−1−i300001−1−i32-11+i320000
χ1004-4-22-44000000-220000001−i31+i3−1+i3−1−i30000−1+i32−1−i321−i321+i320000−2−2i32+2i31+i3−1−i32+2i3−2−2i30000001+i3−1−i3000000-21−i32−1+i300001−1+i32-11−i320000−2+2i32−2i31−i3−1+i32−2i3−2+2i30000001−i3−1+i30000001+i3-2−1−i320000−1−i3211+i32-10000
χ10166-3-36600-2-2-2-2-3-30011110000000000000000−3−3i3−3−3i33+3i323+3i32−3−3i3−3−3i3001+i31+i31+i31+i33+3i323+3i3200−1−i32−1−i32−1−i32−1−i320000000000000000−3+3i3−3+3i33−3i323−3i32−3+3i3−3+3i3001−i31−i31−i31−i33−3i323−3i3200−1+i32−1+i32−1+i32−1+i320000000000000000
χ10266-3-3-2-20022−2+4i−2−4i1100-1-11−2i1+2i0000000000000000−3−3i3−3−3i33+3i323+3i321+i31+i300−1−i3−1−i32ζ2+4ζ112ζ2−4ζ11−1−i32−1−i32001+i321+i32−ζ2−2ζ11−ζ2+2ζ110000000000000000−3+3i3−3+3i33−3i323−3i321−i31−i300−1+i3−1+i34ζ7+2ζ10−4ζ7+2ζ10−1+i32−1+i32001−i321−i32−2ζ7−ζ102ζ7−ζ100000000000000000
χ10366-3-3-2-20022−2−4i−2+4i1100-1-11+2i1−2i0000000000000000−3−3i3−3−3i33+3i323+3i321+i31+i300−1−i3−1−i32ζ2−4ζ112ζ2+4ζ11−1−i32−1−i32001+i321+i32−ζ2+2ζ11−ζ2−2ζ110000000000000000−3+3i3−3+3i33−3i323−3i321−i31−i300−1+i3−1+i3−4ζ7+2ζ104ζ7+2ζ10−1+i32−1+i32001−i321−i322ζ7−ζ10−2ζ7−ζ100000000000000000
χ10466-3-3-2-200−2+4i−2−4i2211001−2i1+2i-1-10000000000000000−3−3i3−3−3i33+3i323+3i321+i31+i3002ζ2+4ζ112ζ2−4ζ11−1−i3−1−i3−1−i32−1−i3200−ζ2−2ζ11−ζ2+2ζ111+i321+i320000000000000000−3+3i3−3+3i33−3i323−3i321−i31−i3004ζ7+2ζ10−4ζ7+2ζ10−1+i3−1+i3−1+i32−1+i3200−2ζ7−ζ102ζ7−ζ101−i321−i320000000000000000
χ10566-3-3-2-200−2−4i−2+4i2211001+2i1−2i-1-10000000000000000−3−3i3−3−3i33+3i323+3i321+i31+i3002ζ2−4ζ112ζ2+4ζ11−1−i3−1−i3−1−i32−1−i3200−ζ2+2ζ11−ζ2−2ζ111+i321+i320000000000000000−3+3i3−3+3i33−3i323−3i321−i31−i300−4ζ7+2ζ104ζ7+2ζ10−1+i3−1+i3−1+i32−1+i32002ζ7−ζ10−2ζ7−ζ101−i321−i320000000000000000
χ1066-66-62-26i−6i0000-22−2i2i00000000000000000000−3−3i33+3i3−3−3i33+3i3−1−i31+i36ζ11−6ζ1100001+i3−1−i3−2ζ112ζ1100000000000000000000−3+3i33−3i3−3+3i33−3i3−1+i31−i36ζ7−6ζ700001−i3−1+i3−2ζ72ζ700000000000000000000
χ1076-66-62-2−6i6i0000-222i−2i00000000000000000000−3−3i33+3i3−3−3i33+3i3−1−i31+i3−6ζ116ζ1100001+i3−1−i32ζ11−2ζ1100000000000000000000−3+3i33−3i3−3+3i33−3i3−1+i31−i3−6ζ76ζ700001−i3−1+i32ζ7−2ζ700000000000000000000
χ10812-12-664-40000002-20000000000000000000000−6−6i36+6i33+3i3−3−3i3−2−2i32+2i3000000−1−i31+i30000000000000000000000−6+6i36−6i33−3i3−3+3i3−2+2i32−2i3000000−1+i31−i30000000000000000000000

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