Finite Group Databasebeta

← Group #13180669

Character table — Group #13180669

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size14499914499941616363636416163636364161636363641616363636624245454541449991449994161636363641616363636416163636364161636363662424545454
order13324426624433361212333612126666121266661212412124442662442662446666121266661212666612126666121241212444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-1
χ3111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i
χ4111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii
χ541-200041-200041-200041-200041-200041-200041-200041-200041-200041-200041-200041-200041-200041-2000
χ64-210004-210004-210004-210004-210004-210004-210004-210004-210004-210004-210004-210004-210004-21000
χ7111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111
χ81111-1-11111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321111-1-11111-1-11111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321111-1-1
χ9111-1i−i111-1i−i−1+i32−1+i32−1+i321−i32ζ7−ζ7−1−i32−1−i32−1−i321+i32ζ11−ζ11−1+i32−1+i32−1+i321−i32ζ7−ζ7−1−i32−1−i32−1−i321+i32ζ11−ζ11111-1i−i111-1i−i111-1i−i−1+i32−1+i32−1+i321−i32ζ7−ζ7−1−i32−1−i32−1−i321+i32ζ11−ζ11−1+i32−1+i32−1+i321−i32ζ7−ζ7−1−i32−1−i32−1−i321+i32ζ11−ζ11111-1i−i
χ10111-1−ii111-1−ii−1+i32−1+i32−1+i321−i32−ζ7ζ7−1−i32−1−i32−1−i321+i32−ζ11ζ11−1+i32−1+i32−1+i321−i32−ζ7ζ7−1−i32−1−i32−1−i321+i32−ζ11ζ11111-1−ii111-1−ii111-1−ii−1+i32−1+i32−1+i321−i32−ζ7ζ7−1−i32−1−i32−1−i321+i32−ζ11ζ11−1+i32−1+i32−1+i321−i32−ζ7ζ7−1−i32−1−i32−1−i321+i32−ζ11ζ11111-1−ii
χ1141-200041-2000−2+2i3−1+i321−i3000−2−2i3−1−i321+i3000−2+2i3−1+i321−i3000−2−2i3−1−i321+i300041-200041-200041-2000−2+2i3−1+i321−i3000−2−2i3−1−i321+i3000−2+2i3−1+i321−i3000−2−2i3−1−i321+i300041-2000
χ124-210004-21000−2+2i31−i3−1+i32000−2−2i31+i3−1−i32000−2+2i31−i3−1+i32000−2−2i31+i3−1−i320004-210004-210004-21000−2+2i31−i3−1+i32000−2−2i31+i3−1−i32000−2+2i31−i3−1+i32000−2−2i31+i3−1−i320004-21000
χ13111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111
χ141111-1-11111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321111-1-11111-1-11111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321111-1-1
χ15111-1i−i111-1i−i−1−i32−1−i32−1−i321+i32ζ11−ζ11−1+i32−1+i32−1+i321−i32ζ7−ζ7−1−i32−1−i32−1−i321+i32ζ11−ζ11−1+i32−1+i32−1+i321−i32ζ7−ζ7111-1i−i111-1i−i111-1i−i−1−i32−1−i32−1−i321+i32ζ11−ζ11−1+i32−1+i32−1+i321−i32ζ7−ζ7−1−i32−1−i32−1−i321+i32ζ11−ζ11−1+i32−1+i32−1+i321−i32ζ7−ζ7111-1i−i
χ16111-1−ii111-1−ii−1−i32−1−i32−1−i321+i32−ζ11ζ11−1+i32−1+i32−1+i321−i32−ζ7ζ7−1−i32−1−i32−1−i321+i32−ζ11ζ11−1+i32−1+i32−1+i321−i32−ζ7ζ7111-1−ii111-1−ii111-1−ii−1−i32−1−i32−1−i321+i32−ζ11ζ11−1+i32−1+i32−1+i321−i32−ζ7ζ7−1−i32−1−i32−1−i321+i32−ζ11ζ11−1+i32−1+i32−1+i321−i32−ζ7ζ7111-1−ii
χ1741-200041-2000−2−2i3−1−i321+i3000−2+2i3−1+i321−i3000−2−2i3−1−i321+i3000−2+2i3−1+i321−i300041-200041-200041-2000−2−2i3−1−i321+i3000−2+2i3−1+i321−i3000−2−2i3−1−i321+i3000−2+2i3−1+i321−i300041-2000
χ184-210004-21000−2−2i31+i3−1−i32000−2+2i31−i3−1+i32000−2−2i31+i3−1−i32000−2+2i31−i3−1+i320004-210004-210004-21000−2−2i31+i3−1−i32000−2+2i31−i3−1+i32000−2−2i31+i3−1−i32000−2+2i31−i3−1+i320004-21000
χ19222222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111000000222222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111000000
χ202222-2-2-2-2-2-222-1-1-1-111-1-1-1-1111111-1-11111-1-10000002222-2-2-2-2-2-222-1-1-1-111-1-1-1-1111111-1-11111-1-1000000
χ21222-22i−2i-2-2-22−2i2i-1-1-11−ii-1-1-11−ii111-1i−i111-1i−i000000222-22i−2i-2-2-22−2i2i-1-1-11−ii-1-1-11−ii111-1i−i111-1i−i000000
χ22222-2−2i2i-2-2-222i−2i-1-1-11i−i-1-1-11i−i111-1−ii111-1−ii000000222-2−2i2i-2-2-222i−2i-1-1-11i−i-1-1-11i−i111-1−ii111-1−ii000000
χ2382-4000-8-24000-4-12000-4-1200041-200041-200000000082-4000-8-24000-4-12000-4-1200041-200041-2000000000
χ248-42000-84-2000-42-1000-42-10004-210004-210000000008-42000-84-2000-42-1000-42-10004-210004-21000000000
χ25222222-2-2-2-2-2-21−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−i32000000222222-2-2-2-2-2-21−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−i32000000
χ262222-2-2-2-2-2-2221−i321−i321−i321−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−i321+i321+i320000002222-2-2-2-2-2-2221−i321−i321−i321−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−i321+i321+i32000000
χ27222-22i−2i-2-2-22−2i2i1−i321−i321−i32−1+i32−ζ7ζ71+i321+i321+i32−1−i32−ζ11ζ11−1+i32−1+i32−1+i321−i32ζ7−ζ7−1−i32−1−i32−1−i321+i32ζ11−ζ11000000222-22i−2i-2-2-22−2i2i1−i321−i321−i32−1+i32−ζ7ζ71+i321+i321+i32−1−i32−ζ11ζ11−1+i32−1+i32−1+i321−i32ζ7−ζ7−1−i32−1−i32−1−i321+i32ζ11−ζ11000000
χ28222-2−2i2i-2-2-222i−2i1−i321−i321−i32−1+i32ζ7−ζ71+i321+i321+i32−1−i32ζ11−ζ11−1+i32−1+i32−1+i321−i32−ζ7ζ7−1−i32−1−i32−1−i321+i32−ζ11ζ11000000222-2−2i2i-2-2-222i−2i1−i321−i321−i32−1+i32ζ7−ζ71+i321+i321+i32−1−i32ζ11−ζ11−1+i32−1+i32−1+i321−i32−ζ7ζ7−1−i32−1−i32−1−i321+i32−ζ11ζ11000000
χ2982-4000-8-240002−2i31−i32−1+i30002+2i31+i32−1−i3000−2+2i3−1+i321−i3000−2−2i3−1−i321+i300000000082-4000-8-240002−2i31−i32−1+i30002+2i31+i32−1−i3000−2+2i3−1+i321−i3000−2−2i3−1−i321+i3000000000
χ308-42000-84-20002−2i3−1+i31−i320002+2i3−1−i31+i32000−2+2i31−i3−1+i32000−2−2i31+i3−1−i320000000008-42000-84-20002−2i3−1+i31−i320002+2i3−1−i31+i32000−2+2i31−i3−1+i32000−2−2i31+i3−1−i32000000000
χ31222222-2-2-2-2-2-21+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+i32000000222222-2-2-2-2-2-21+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+i32000000
χ322222-2-2-2-2-2-2221+i321+i321+i321+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+i321−i321−i320000002222-2-2-2-2-2-2221+i321+i321+i321+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+i321−i321−i32000000
χ33222-22i−2i-2-2-22−2i2i1+i321+i321+i32−1−i32−ζ11ζ111−i321−i321−i32−1+i32−ζ7ζ7−1−i32−1−i32−1−i321+i32ζ11−ζ11−1+i32−1+i32−1+i321−i32ζ7−ζ7000000222-22i−2i-2-2-22−2i2i1+i321+i321+i32−1−i32−ζ11ζ111−i321−i321−i32−1+i32−ζ7ζ7−1−i32−1−i32−1−i321+i32ζ11−ζ11−1+i32−1+i32−1+i321−i32ζ7−ζ7000000
χ34222-2−2i2i-2-2-222i−2i1+i321+i321+i32−1−i32ζ11−ζ111−i321−i321−i32−1+i32ζ7−ζ7−1−i32−1−i32−1−i321+i32−ζ11ζ11−1+i32−1+i32−1+i321−i32−ζ7ζ7000000222-2−2i2i-2-2-222i−2i1+i321+i321+i32−1−i32ζ11−ζ111−i321−i321−i32−1+i32ζ7−ζ7−1−i32−1−i32−1−i321+i32−ζ11ζ11−1+i32−1+i32−1+i321−i32−ζ7ζ7000000
χ3582-4000-8-240002+2i31+i32−1−i30002−2i31−i32−1+i3000−2−2i3−1−i321+i3000−2+2i3−1+i321−i300000000082-4000-8-240002+2i31+i32−1−i30002−2i31−i32−1+i3000−2−2i3−1−i321+i3000−2+2i3−1+i321−i3000000000
χ368-42000-84-20002+2i3−1−i31+i320002−2i3−1+i31−i32000−2−2i31+i3−1−i32000−2+2i31−i3−1+i320000000008-42000-84-20002+2i3−1−i31+i320002−2i3−1+i31−i32000−2−2i31+i3−1−i32000−2+2i31−i3−1+i32000000000
χ37333333333333000000000000000000000000-1-1-1-1-1-1333333333333000000000000000000000000-1-1-1-1-1-1
χ383333-3-33333-3-3000000000000000000000000-1-1-1-1113333-3-33333-3-3000000000000000000000000-1-1-1-111
χ39333-33i−3i333-33i−3i000000000000000000000000-1-1-11−ii333-33i−3i333-33i−3i000000000000000000000000-1-1-11−ii
χ40333-3−3i3i333-3−3i3i000000000000000000000000-1-1-11i−i333-3−3i3i333-3−3i3i000000000000000000000000-1-1-11i−i
χ41123-6000123-6000000000000000000000000000-4-12000123-6000123-6000000000000000000000000000-4-12000
χ4212-6300012-63000000000000000000000000000-42-100012-6300012-63000000000000000000000000000-42-1000
χ43111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ441111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111
χ45111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i-1-1-11−ii-1-1-11−ii-1-1-11−ii-1-1-11−ii-1-1-11−ii-1-1-11−ii-1-1-11−ii
χ46111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii-1-1-11i−i-1-1-11i−i-1-1-11i−i-1-1-11i−i-1-1-11i−i-1-1-11i−i-1-1-11i−i
χ4741-200041-200041-200041-200041-200041-200041-2000-4-12000-4-12000-4-12000-4-12000-4-12000-4-12000-4-12000
χ484-210004-210004-210004-210004-210004-210004-21000-42-1000-42-1000-42-1000-42-1000-42-1000-42-1000-42-1000
χ49111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−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
χ501111-1-11111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321111-1-1-1-1-1-111-1-1-1-1111−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32-1-1-1-111
χ51111-1i−i111-1i−i−1+i32−1+i32−1+i321−i32ζ7−ζ7−1−i32−1−i32−1−i321+i32ζ11−ζ11−1+i32−1+i32−1+i321−i32ζ7−ζ7−1−i32−1−i32−1−i321+i32ζ11−ζ11111-1i−i-1-1-11−ii-1-1-11−ii1−i321−i321−i32−1+i32−ζ7ζ71+i321+i321+i32−1−i32−ζ11ζ111−i321−i321−i32−1+i32−ζ7ζ71+i321+i321+i32−1−i32−ζ11ζ11-1-1-11−ii
χ52111-1−ii111-1−ii−1+i32−1+i32−1+i321−i32−ζ7ζ7−1−i32−1−i32−1−i321+i32−ζ11ζ11−1+i32−1+i32−1+i321−i32−ζ7ζ7−1−i32−1−i32−1−i321+i32−ζ11ζ11111-1−ii-1-1-11i−i-1-1-11i−i1−i321−i321−i32−1+i32ζ7−ζ71+i321+i321+i32−1−i32ζ11−ζ111−i321−i321−i32−1+i32ζ7−ζ71+i321+i321+i32−1−i32ζ11−ζ11-1-1-11i−i
χ5341-200041-2000−2+2i3−1+i321−i3000−2−2i3−1−i321+i3000−2+2i3−1+i321−i3000−2−2i3−1−i321+i300041-2000-4-12000-4-120002−2i31−i32−1+i30002+2i31+i32−1−i30002−2i31−i32−1+i30002+2i31+i32−1−i3000-4-12000
χ544-210004-21000−2+2i31−i3−1+i32000−2−2i31+i3−1−i32000−2+2i31−i3−1+i32000−2−2i31+i3−1−i320004-21000-42-1000-42-10002−2i3−1+i31−i320002+2i3−1−i31+i320002−2i3−1+i31−i320002+2i3−1−i31+i32000-42-1000
χ55111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+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
χ561111-1-11111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321111-1-1-1-1-1-111-1-1-1-1111+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32-1-1-1-111
χ57111-1i−i111-1i−i−1−i32−1−i32−1−i321+i32ζ11−ζ11−1+i32−1+i32−1+i321−i32ζ7−ζ7−1−i32−1−i32−1−i321+i32ζ11−ζ11−1+i32−1+i32−1+i321−i32ζ7−ζ7111-1i−i-1-1-11−ii-1-1-11−ii1+i321+i321+i32−1−i32−ζ11ζ111−i321−i321−i32−1+i32−ζ7ζ71+i321+i321+i32−1−i32−ζ11ζ111−i321−i321−i32−1+i32−ζ7ζ7-1-1-11−ii
χ58111-1−ii111-1−ii−1−i32−1−i32−1−i321+i32−ζ11ζ11−1+i32−1+i32−1+i321−i32−ζ7ζ7−1−i32−1−i32−1−i321+i32−ζ11ζ11−1+i32−1+i32−1+i321−i32−ζ7ζ7111-1−ii-1-1-11i−i-1-1-11i−i1+i321+i321+i32−1−i32ζ11−ζ111−i321−i321−i32−1+i32ζ7−ζ71+i321+i321+i32−1−i32ζ11−ζ111−i321−i321−i32−1+i32ζ7−ζ7-1-1-11i−i
χ5941-200041-2000−2−2i3−1−i321+i3000−2+2i3−1+i321−i3000−2−2i3−1−i321+i3000−2+2i3−1+i321−i300041-2000-4-12000-4-120002+2i31+i32−1−i30002−2i31−i32−1+i30002+2i31+i32−1−i30002−2i31−i32−1+i3000-4-12000
χ604-210004-21000−2−2i31+i3−1−i32000−2+2i31−i3−1+i32000−2−2i31+i3−1−i32000−2+2i31−i3−1+i320004-21000-42-1000-42-10002+2i3−1−i31+i320002−2i3−1+i31−i320002+2i3−1−i31+i320002−2i3−1+i31−i32000-42-1000
χ61222222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111000000-2-2-2-2-2-2222222111111111111-1-1-1-1-1-1-1-1-1-1-1-1000000
χ622222-2-2-2-2-2-222-1-1-1-111-1-1-1-1111111-1-11111-1-1000000-2-2-2-2222222-2-21111-1-11111-1-1-1-1-1-111-1-1-1-111000000
χ63222-22i−2i-2-2-22−2i2i-1-1-11−ii-1-1-11−ii111-1i−i111-1i−i000000-2-2-22−2i2i222-22i−2i111-1i−i111-1i−i-1-1-11−ii-1-1-11−ii000000
χ64222-2−2i2i-2-2-222i−2i-1-1-11i−i-1-1-11i−i111-1−ii111-1−ii000000-2-2-222i−2i222-2−2i2i111-1−ii111-1−ii-1-1-11i−i-1-1-11i−i000000
χ6582-4000-8-24000-4-12000-4-1200041-200041-2000000000-8-2400082-400041-200041-2000-4-12000-4-12000000000
χ668-42000-84-2000-42-1000-42-10004-210004-21000000000-84-20008-420004-210004-21000-42-1000-42-1000000000
χ67222222-2-2-2-2-2-21−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−i32000000-2-2-2-2-2-2222222−1+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+i32000000
χ682222-2-2-2-2-2-2221−i321−i321−i321−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−i321+i321+i32000000-2-2-2-2222222-2-2−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32000000
χ69222-22i−2i-2-2-22−2i2i1−i321−i321−i32−1+i32−ζ7ζ71+i321+i321+i32−1−i32−ζ11ζ11−1+i32−1+i32−1+i321−i32ζ7−ζ7−1−i32−1−i32−1−i321+i32ζ11−ζ11000000-2-2-22−2i2i222-22i−2i−1+i32−1+i32−1+i321−i32ζ7−ζ7−1−i32−1−i32−1−i321+i32ζ11−ζ111−i321−i321−i32−1+i32−ζ7ζ71+i321+i321+i32−1−i32−ζ11ζ11000000
χ70222-2−2i2i-2-2-222i−2i1−i321−i321−i32−1+i32ζ7−ζ71+i321+i321+i32−1−i32ζ11−ζ11−1+i32−1+i32−1+i321−i32−ζ7ζ7−1−i32−1−i32−1−i321+i32−ζ11ζ11000000-2-2-222i−2i222-2−2i2i−1+i32−1+i32−1+i321−i32−ζ7ζ7−1−i32−1−i32−1−i321+i32−ζ11ζ111−i321−i321−i32−1+i32ζ7−ζ71+i321+i321+i32−1−i32ζ11−ζ11000000
χ7182-4000-8-240002−2i31−i32−1+i30002+2i31+i32−1−i3000−2+2i3−1+i321−i3000−2−2i3−1−i321+i3000000000-8-2400082-4000−2+2i3−1+i321−i3000−2−2i3−1−i321+i30002−2i31−i32−1+i30002+2i31+i32−1−i3000000000
χ728-42000-84-20002−2i3−1+i31−i320002+2i3−1−i31+i32000−2+2i31−i3−1+i32000−2−2i31+i3−1−i32000000000-84-20008-42000−2+2i31−i3−1+i32000−2−2i31+i3−1−i320002−2i3−1+i31−i320002+2i3−1−i31+i32000000000
χ73222222-2-2-2-2-2-21+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+i32000000-2-2-2-2-2-2222222−1−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−i32000000
χ742222-2-2-2-2-2-2221+i321+i321+i321+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+i321−i321−i32000000-2-2-2-2222222-2-2−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32000000
χ75222-22i−2i-2-2-22−2i2i1+i321+i321+i32−1−i32−ζ11ζ111−i321−i321−i32−1+i32−ζ7ζ7−1−i32−1−i32−1−i321+i32ζ11−ζ11−1+i32−1+i32−1+i321−i32ζ7−ζ7000000-2-2-22−2i2i222-22i−2i−1−i32−1−i32−1−i321+i32ζ11−ζ11−1+i32−1+i32−1+i321−i32ζ7−ζ71+i321+i321+i32−1−i32−ζ11ζ111−i321−i321−i32−1+i32−ζ7ζ7000000
χ76222-2−2i2i-2-2-222i−2i1+i321+i321+i32−1−i32ζ11−ζ111−i321−i321−i32−1+i32ζ7−ζ7−1−i32−1−i32−1−i321+i32−ζ11ζ11−1+i32−1+i32−1+i321−i32−ζ7ζ7000000-2-2-222i−2i222-2−2i2i−1−i32−1−i32−1−i321+i32−ζ11ζ11−1+i32−1+i32−1+i321−i32−ζ7ζ71+i321+i321+i32−1−i32ζ11−ζ111−i321−i321−i32−1+i32ζ7−ζ7000000
χ7782-4000-8-240002+2i31+i32−1−i30002−2i31−i32−1+i3000−2−2i3−1−i321+i3000−2+2i3−1+i321−i3000000000-8-2400082-4000−2−2i3−1−i321+i3000−2+2i3−1+i321−i30002+2i31+i32−1−i30002−2i31−i32−1+i3000000000
χ788-42000-84-20002+2i3−1−i31+i320002−2i3−1+i31−i32000−2−2i31+i3−1−i32000−2+2i31−i3−1+i32000000000-84-20008-42000−2−2i31+i3−1−i32000−2+2i31−i3−1+i320002+2i3−1−i31+i320002−2i3−1+i31−i32000000000
χ79333333333333000000000000000000000000-1-1-1-1-1-1-3-3-3-3-3-3-3-3-3-3-3-3000000000000000000000000111111
χ803333-3-33333-3-3000000000000000000000000-1-1-1-111-3-3-3-333-3-3-3-3330000000000000000000000001111-1-1
χ81333-33i−3i333-33i−3i000000000000000000000000-1-1-11−ii-3-3-33−3i3i-3-3-33−3i3i000000000000000000000000111-1i−i
χ82333-3−3i3i333-3−3i3i000000000000000000000000-1-1-11i−i-3-3-333i−3i-3-3-333i−3i000000000000000000000000111-1−ii
χ83123-6000123-6000000000000000000000000000-4-12000-12-36000-12-3600000000000000000000000000041-2000
χ8412-6300012-63000000000000000000000000000-42-1000-126-3000-126-30000000000000000000000000004-21000

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