Finite Group Databasebeta

← Group #13181828

Character table — Group #13181828

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size144999312122727274161636363641616363636144999312122727274161636363641616363636144999312122727274161636363641616363636144999312122727274161636363641616363636
order1332442662443336121233361212266244266244666612126666121226624426624466661212666612122662442662446666121266661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-1
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−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−ii111-1−ii111-1−ii
χ541-200041-200041-200041-200041-200041-200041-200041-200041-200041-200041-200041-200041-200041-200041-200041-2000
χ64-210004-210004-210004-210004-210004-210004-210004-210004-210004-210004-210004-210004-210004-210004-210004-21000
χ7111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ81111-1-11111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321111-1-11111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321111-1-11111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321111-1-11111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ9111-1i−i111-1i−i−1+i32−1+i32−1+i321−i32ζ7−ζ7−1−i32−1−i32−1−i321+i32ζ11−ζ11111-1i−i111-1i−i−1+i32−1+i32−1+i321−i32ζ7−ζ7−1−i32−1−i32−1−i321+i32ζ11−ζ11111-1i−i111-1i−i−1+i32−1+i32−1+i321−i32ζ7−ζ7−1−i32−1−i32−1−i321+i32ζ11−ζ11111-1i−i111-1i−i−1+i32−1+i32−1+i321−i32ζ7−ζ7−1−i32−1−i32−1−i321+i32ζ11−ζ11
χ10111-1−ii111-1−ii−1+i32−1+i32−1+i321−i32−ζ7ζ7−1−i32−1−i32−1−i321+i32−ζ11ζ11111-1−ii111-1−ii−1+i32−1+i32−1+i321−i32−ζ7ζ7−1−i32−1−i32−1−i321+i32−ζ11ζ11111-1−ii111-1−ii−1+i32−1+i32−1+i321−i32−ζ7ζ7−1−i32−1−i32−1−i321+i32−ζ11ζ11111-1−ii111-1−ii−1+i32−1+i32−1+i321−i32−ζ7ζ7−1−i32−1−i32−1−i321+i32−ζ11ζ11
χ1141-200041-2000−2+2i3−1+i321−i3000−2−2i3−1−i321+i300041-200041-2000−2+2i3−1+i321−i3000−2−2i3−1−i321+i300041-200041-2000−2+2i3−1+i321−i3000−2−2i3−1−i321+i300041-200041-2000−2+2i3−1+i321−i3000−2−2i3−1−i321+i3000
χ124-210004-21000−2+2i31−i3−1+i32000−2−2i31+i3−1−i320004-210004-21000−2+2i31−i3−1+i32000−2−2i31+i3−1−i320004-210004-21000−2+2i31−i3−1+i32000−2−2i31+i3−1−i320004-210004-21000−2+2i31−i3−1+i32000−2−2i31+i3−1−i32000
χ13111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ141111-1-11111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321111-1-11111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321111-1-11111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321111-1-11111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ15111-1i−i111-1i−i−1−i32−1−i32−1−i321+i32ζ11−ζ11−1+i32−1+i32−1+i321−i32ζ7−ζ7111-1i−i111-1i−i−1−i32−1−i32−1−i321+i32ζ11−ζ11−1+i32−1+i32−1+i321−i32ζ7−ζ7111-1i−i111-1i−i−1−i32−1−i32−1−i321+i32ζ11−ζ11−1+i32−1+i32−1+i321−i32ζ7−ζ7111-1i−i111-1i−i−1−i32−1−i32−1−i321+i32ζ11−ζ11−1+i32−1+i32−1+i321−i32ζ7−ζ7
χ16111-1−ii111-1−ii−1−i32−1−i32−1−i321+i32−ζ11ζ11−1+i32−1+i32−1+i321−i32−ζ7ζ7111-1−ii111-1−ii−1−i32−1−i32−1−i321+i32−ζ11ζ11−1+i32−1+i32−1+i321−i32−ζ7ζ7111-1−ii111-1−ii−1−i32−1−i32−1−i321+i32−ζ11ζ11−1+i32−1+i32−1+i321−i32−ζ7ζ7111-1−ii111-1−ii−1−i32−1−i32−1−i321+i32−ζ11ζ11−1+i32−1+i32−1+i321−i32−ζ7ζ7
χ1741-200041-2000−2−2i3−1−i321+i3000−2+2i3−1+i321−i300041-200041-2000−2−2i3−1−i321+i3000−2+2i3−1+i321−i300041-200041-2000−2−2i3−1−i321+i3000−2+2i3−1+i321−i300041-200041-2000−2−2i3−1−i321+i3000−2+2i3−1+i321−i3000
χ184-210004-21000−2−2i31+i3−1−i32000−2+2i31−i3−1+i320004-210004-21000−2−2i31+i3−1−i32000−2+2i31−i3−1+i320004-210004-21000−2−2i31+i3−1−i32000−2+2i31−i3−1+i320004-210004-21000−2−2i31+i3−1−i32000−2+2i31−i3−1+i32000
χ19333333-1-1-1-1-1-1000000000000333333-1-1-1-1-1-1000000000000333333-1-1-1-1-1-1000000000000333333-1-1-1-1-1-1000000000000
χ203333-3-3-1-1-1-1110000000000003333-3-3-1-1-1-1110000000000003333-3-3-1-1-1-1110000000000003333-3-3-1-1-1-111000000000000
χ21333-33i−3i-1-1-11−ii000000000000333-33i−3i-1-1-11−ii000000000000333-33i−3i-1-1-11−ii000000000000333-33i−3i-1-1-11−ii000000000000
χ22333-3−3i3i-1-1-11i−i000000000000333-3−3i3i-1-1-11i−i000000000000333-3−3i3i-1-1-11i−i000000000000333-3−3i3i-1-1-11i−i000000000000
χ23123-6000-4-12000000000000000123-6000-4-12000000000000000123-6000-4-12000000000000000123-6000-4-12000000000000000
χ2412-63000-42-100000000000000012-63000-42-100000000000000012-63000-42-100000000000000012-63000-42-1000000000000000
χ25111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ261111-1-11111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-11111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111
χ27111-1i−i111-1i−i111-1i−i111-1i−i-1-1-11−ii-1-1-11−ii-1-1-11−ii-1-1-11−ii111-1i−i111-1i−i111-1i−i111-1i−i-1-1-11−ii-1-1-11−ii-1-1-11−ii-1-1-11−ii
χ28111-1−ii111-1−ii111-1−ii111-1−ii-1-1-11i−i-1-1-11i−i-1-1-11i−i-1-1-11i−i111-1−ii111-1−ii111-1−ii111-1−ii-1-1-11i−i-1-1-11i−i-1-1-11i−i-1-1-11i−i
χ2941-200041-200041-200041-2000-4-12000-4-12000-4-12000-4-1200041-200041-200041-200041-2000-4-12000-4-12000-4-12000-4-12000
χ304-210004-210004-210004-21000-42-1000-42-1000-42-1000-42-10004-210004-210004-210004-21000-42-1000-42-1000-42-1000-42-1000
χ31111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32
χ321111-1-11111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32-1-1-1-111-1-1-1-1111−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i321111-1-11111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32-1-1-1-111-1-1-1-1111−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32
χ33111-1i−i111-1i−i−1+i32−1+i32−1+i321−i32ζ7−ζ7−1−i32−1−i32−1−i321+i32ζ11−ζ11-1-1-11−ii-1-1-11−ii1−i321−i321−i32−1+i32−ζ7ζ71+i321+i321+i32−1−i32−ζ11ζ11111-1i−i111-1i−i−1+i32−1+i32−1+i321−i32ζ7−ζ7−1−i32−1−i32−1−i321+i32ζ11−ζ11-1-1-11−ii-1-1-11−ii1−i321−i321−i32−1+i32−ζ7ζ71+i321+i321+i32−1−i32−ζ11ζ11
χ34111-1−ii111-1−ii−1+i32−1+i32−1+i321−i32−ζ7ζ7−1−i32−1−i32−1−i321+i32−ζ11ζ11-1-1-11i−i-1-1-11i−i1−i321−i321−i32−1+i32ζ7−ζ71+i321+i321+i32−1−i32ζ11−ζ11111-1−ii111-1−ii−1+i32−1+i32−1+i321−i32−ζ7ζ7−1−i32−1−i32−1−i321+i32−ζ11ζ11-1-1-11i−i-1-1-11i−i1−i321−i321−i32−1+i32ζ7−ζ71+i321+i321+i32−1−i32ζ11−ζ11
χ3541-200041-2000−2+2i3−1+i321−i3000−2−2i3−1−i321+i3000-4-12000-4-120002−2i31−i32−1+i30002+2i31+i32−1−i300041-200041-2000−2+2i3−1+i321−i3000−2−2i3−1−i321+i3000-4-12000-4-120002−2i31−i32−1+i30002+2i31+i32−1−i3000
χ364-210004-21000−2+2i31−i3−1+i32000−2−2i31+i3−1−i32000-42-1000-42-10002−2i3−1+i31−i320002+2i3−1−i31+i320004-210004-21000−2+2i31−i3−1+i32000−2−2i31+i3−1−i32000-42-1000-42-10002−2i3−1+i31−i320002+2i3−1−i31+i32000
χ37111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32
χ381111-1-11111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32-1-1-1-111-1-1-1-1111+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i321111-1-11111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32-1-1-1-111-1-1-1-1111+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32
χ39111-1i−i111-1i−i−1−i32−1−i32−1−i321+i32ζ11−ζ11−1+i32−1+i32−1+i321−i32ζ7−ζ7-1-1-11−ii-1-1-11−ii1+i321+i321+i32−1−i32−ζ11ζ111−i321−i321−i32−1+i32−ζ7ζ7111-1i−i111-1i−i−1−i32−1−i32−1−i321+i32ζ11−ζ11−1+i32−1+i32−1+i321−i32ζ7−ζ7-1-1-11−ii-1-1-11−ii1+i321+i321+i32−1−i32−ζ11ζ111−i321−i321−i32−1+i32−ζ7ζ7
χ40111-1−ii111-1−ii−1−i32−1−i32−1−i321+i32−ζ11ζ11−1+i32−1+i32−1+i321−i32−ζ7ζ7-1-1-11i−i-1-1-11i−i1+i321+i321+i32−1−i32ζ11−ζ111−i321−i321−i32−1+i32ζ7−ζ7111-1−ii111-1−ii−1−i32−1−i32−1−i321+i32−ζ11ζ11−1+i32−1+i32−1+i321−i32−ζ7ζ7-1-1-11i−i-1-1-11i−i1+i321+i321+i32−1−i32ζ11−ζ111−i321−i321−i32−1+i32ζ7−ζ7
χ4141-200041-2000−2−2i3−1−i321+i3000−2+2i3−1+i321−i3000-4-12000-4-120002+2i31+i32−1−i30002−2i31−i32−1+i300041-200041-2000−2−2i3−1−i321+i3000−2+2i3−1+i321−i3000-4-12000-4-120002+2i31+i32−1−i30002−2i31−i32−1+i3000
χ424-210004-21000−2−2i31+i3−1−i32000−2+2i31−i3−1+i32000-42-1000-42-10002+2i3−1−i31+i320002−2i3−1+i31−i320004-210004-21000−2−2i31+i3−1−i32000−2+2i31−i3−1+i32000-42-1000-42-10002+2i3−1−i31+i320002−2i3−1+i31−i32000
χ43333333-1-1-1-1-1-1000000000000-3-3-3-3-3-3111111000000000000333333-1-1-1-1-1-1000000000000-3-3-3-3-3-3111111000000000000
χ443333-3-3-1-1-1-111000000000000-3-3-3-3331111-1-10000000000003333-3-3-1-1-1-111000000000000-3-3-3-3331111-1-1000000000000
χ45333-33i−3i-1-1-11−ii000000000000-3-3-33−3i3i111-1i−i000000000000333-33i−3i-1-1-11−ii000000000000-3-3-33−3i3i111-1i−i000000000000
χ46333-3−3i3i-1-1-11i−i000000000000-3-3-333i−3i111-1−ii000000000000333-3−3i3i-1-1-11i−i000000000000-3-3-333i−3i111-1−ii000000000000
χ47123-6000-4-12000000000000000-12-3600041-2000000000000000123-6000-4-12000000000000000-12-3600041-2000000000000000
χ4812-63000-42-1000000000000000-126-30004-2100000000000000012-63000-42-1000000000000000-126-30004-21000000000000000
χ49111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ501111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111
χ51111-1i−i111-1i−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-1-1-11−ii
χ52111-1−ii111-1−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-1-1-11i−i
χ5341-200041-200041-200041-200041-200041-200041-200041-2000-4-12000-4-12000-4-12000-4-12000-4-12000-4-12000-4-12000-4-12000
χ544-210004-210004-210004-210004-210004-210004-210004-21000-42-1000-42-1000-42-1000-42-1000-42-1000-42-1000-42-1000-42-1000
χ55111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32
χ561111-1-11111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321111-1-11111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32-1-1-1-111-1-1-1-1111−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32-1-1-1-111-1-1-1-1111−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32
χ57111-1i−i111-1i−i−1+i32−1+i32−1+i321−i32ζ7−ζ7−1−i32−1−i32−1−i321+i32ζ11−ζ11111-1i−i111-1i−i−1+i32−1+i32−1+i321−i32ζ7−ζ7−1−i32−1−i32−1−i321+i32ζ11−ζ11-1-1-11−ii-1-1-11−ii1−i321−i321−i32−1+i32−ζ7ζ71+i321+i321+i32−1−i32−ζ11ζ11-1-1-11−ii-1-1-11−ii1−i321−i321−i32−1+i32−ζ7ζ71+i321+i321+i32−1−i32−ζ11ζ11
χ58111-1−ii111-1−ii−1+i32−1+i32−1+i321−i32−ζ7ζ7−1−i32−1−i32−1−i321+i32−ζ11ζ11111-1−ii111-1−ii−1+i32−1+i32−1+i321−i32−ζ7ζ7−1−i32−1−i32−1−i321+i32−ζ11ζ11-1-1-11i−i-1-1-11i−i1−i321−i321−i32−1+i32ζ7−ζ71+i321+i321+i32−1−i32ζ11−ζ11-1-1-11i−i-1-1-11i−i1−i321−i321−i32−1+i32ζ7−ζ71+i321+i321+i32−1−i32ζ11−ζ11
χ5941-200041-2000−2+2i3−1+i321−i3000−2−2i3−1−i321+i300041-200041-2000−2+2i3−1+i321−i3000−2−2i3−1−i321+i3000-4-12000-4-120002−2i31−i32−1+i30002+2i31+i32−1−i3000-4-12000-4-120002−2i31−i32−1+i30002+2i31+i32−1−i3000
χ604-210004-21000−2+2i31−i3−1+i32000−2−2i31+i3−1−i320004-210004-21000−2+2i31−i3−1+i32000−2−2i31+i3−1−i32000-42-1000-42-10002−2i3−1+i31−i320002+2i3−1−i31+i32000-42-1000-42-10002−2i3−1+i31−i320002+2i3−1−i31+i32000
χ61111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32
χ621111-1-11111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321111-1-11111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32-1-1-1-111-1-1-1-1111+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32-1-1-1-111-1-1-1-1111+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32
χ63111-1i−i111-1i−i−1−i32−1−i32−1−i321+i32ζ11−ζ11−1+i32−1+i32−1+i321−i32ζ7−ζ7111-1i−i111-1i−i−1−i32−1−i32−1−i321+i32ζ11−ζ11−1+i32−1+i32−1+i321−i32ζ7−ζ7-1-1-11−ii-1-1-11−ii1+i321+i321+i32−1−i32−ζ11ζ111−i321−i321−i32−1+i32−ζ7ζ7-1-1-11−ii-1-1-11−ii1+i321+i321+i32−1−i32−ζ11ζ111−i321−i321−i32−1+i32−ζ7ζ7
χ64111-1−ii111-1−ii−1−i32−1−i32−1−i321+i32−ζ11ζ11−1+i32−1+i32−1+i321−i32−ζ7ζ7111-1−ii111-1−ii−1−i32−1−i32−1−i321+i32−ζ11ζ11−1+i32−1+i32−1+i321−i32−ζ7ζ7-1-1-11i−i-1-1-11i−i1+i321+i321+i32−1−i32ζ11−ζ111−i321−i321−i32−1+i32ζ7−ζ7-1-1-11i−i-1-1-11i−i1+i321+i321+i32−1−i32ζ11−ζ111−i321−i321−i32−1+i32ζ7−ζ7
χ6541-200041-2000−2−2i3−1−i321+i3000−2+2i3−1+i321−i300041-200041-2000−2−2i3−1−i321+i3000−2+2i3−1+i321−i3000-4-12000-4-120002+2i31+i32−1−i30002−2i31−i32−1+i3000-4-12000-4-120002+2i31+i32−1−i30002−2i31−i32−1+i3000
χ664-210004-21000−2−2i31+i3−1−i32000−2+2i31−i3−1+i320004-210004-21000−2−2i31+i3−1−i32000−2+2i31−i3−1+i32000-42-1000-42-10002+2i3−1−i31+i320002−2i3−1+i31−i32000-42-1000-42-10002+2i3−1−i31+i320002−2i3−1+i31−i32000
χ67333333-1-1-1-1-1-1000000000000333333-1-1-1-1-1-1000000000000-3-3-3-3-3-3111111000000000000-3-3-3-3-3-3111111000000000000
χ683333-3-3-1-1-1-1110000000000003333-3-3-1-1-1-111000000000000-3-3-3-3331111-1-1000000000000-3-3-3-3331111-1-1000000000000
χ69333-33i−3i-1-1-11−ii000000000000333-33i−3i-1-1-11−ii000000000000-3-3-33−3i3i111-1i−i000000000000-3-3-33−3i3i111-1i−i000000000000
χ70333-3−3i3i-1-1-11i−i000000000000333-3−3i3i-1-1-11i−i000000000000-3-3-333i−3i111-1−ii000000000000-3-3-333i−3i111-1−ii000000000000
χ71123-6000-4-12000000000000000123-6000-4-12000000000000000-12-3600041-2000000000000000-12-3600041-2000000000000000
χ7212-63000-42-100000000000000012-63000-42-1000000000000000-126-30004-21000000000000000-126-30004-21000000000000000
χ73111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111
χ741111-1-11111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-11111-1-11111-1-11111-1-1
χ75111-1i−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-1-1-11−ii111-1i−i111-1i−i111-1i−i111-1i−i
χ76111-1−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-1-1-11i−i111-1−ii111-1−ii111-1−ii111-1−ii
χ7741-200041-200041-200041-2000-4-12000-4-12000-4-12000-4-12000-4-12000-4-12000-4-12000-4-1200041-200041-200041-200041-2000
χ784-210004-210004-210004-21000-42-1000-42-1000-42-1000-42-1000-42-1000-42-1000-42-1000-42-10004-210004-210004-210004-21000
χ79111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ801111-1-11111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32-1-1-1-111-1-1-1-1111−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32-1-1-1-111-1-1-1-1111−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i321111-1-11111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ81111-1i−i111-1i−i−1+i32−1+i32−1+i321−i32ζ7−ζ7−1−i32−1−i32−1−i321+i32ζ11−ζ11-1-1-11−ii-1-1-11−ii1−i321−i321−i32−1+i32−ζ7ζ71+i321+i321+i32−1−i32−ζ11ζ11-1-1-11−ii-1-1-11−ii1−i321−i321−i32−1+i32−ζ7ζ71+i321+i321+i32−1−i32−ζ11ζ11111-1i−i111-1i−i−1+i32−1+i32−1+i321−i32ζ7−ζ7−1−i32−1−i32−1−i321+i32ζ11−ζ11
χ82111-1−ii111-1−ii−1+i32−1+i32−1+i321−i32−ζ7ζ7−1−i32−1−i32−1−i321+i32−ζ11ζ11-1-1-11i−i-1-1-11i−i1−i321−i321−i32−1+i32ζ7−ζ71+i321+i321+i32−1−i32ζ11−ζ11-1-1-11i−i-1-1-11i−i1−i321−i321−i32−1+i32ζ7−ζ71+i321+i321+i32−1−i32ζ11−ζ11111-1−ii111-1−ii−1+i32−1+i32−1+i321−i32−ζ7ζ7−1−i32−1−i32−1−i321+i32−ζ11ζ11
χ8341-200041-2000−2+2i3−1+i321−i3000−2−2i3−1−i321+i3000-4-12000-4-120002−2i31−i32−1+i30002+2i31+i32−1−i3000-4-12000-4-120002−2i31−i32−1+i30002+2i31+i32−1−i300041-200041-2000−2+2i3−1+i321−i3000−2−2i3−1−i321+i3000
χ844-210004-21000−2+2i31−i3−1+i32000−2−2i31+i3−1−i32000-42-1000-42-10002−2i3−1+i31−i320002+2i3−1−i31+i32000-42-1000-42-10002−2i3−1+i31−i320002+2i3−1−i31+i320004-210004-21000−2+2i31−i3−1+i32000−2−2i31+i3−1−i32000
χ85111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ861111-1-11111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32-1-1-1-111-1-1-1-1111+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32-1-1-1-111-1-1-1-1111+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i321111-1-11111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ87111-1i−i111-1i−i−1−i32−1−i32−1−i321+i32ζ11−ζ11−1+i32−1+i32−1+i321−i32ζ7−ζ7-1-1-11−ii-1-1-11−ii1+i321+i321+i32−1−i32−ζ11ζ111−i321−i321−i32−1+i32−ζ7ζ7-1-1-11−ii-1-1-11−ii1+i321+i321+i32−1−i32−ζ11ζ111−i321−i321−i32−1+i32−ζ7ζ7111-1i−i111-1i−i−1−i32−1−i32−1−i321+i32ζ11−ζ11−1+i32−1+i32−1+i321−i32ζ7−ζ7
χ88111-1−ii111-1−ii−1−i32−1−i32−1−i321+i32−ζ11ζ11−1+i32−1+i32−1+i321−i32−ζ7ζ7-1-1-11i−i-1-1-11i−i1+i321+i321+i32−1−i32ζ11−ζ111−i321−i321−i32−1+i32ζ7−ζ7-1-1-11i−i-1-1-11i−i1+i321+i321+i32−1−i32ζ11−ζ111−i321−i321−i32−1+i32ζ7−ζ7111-1−ii111-1−ii−1−i32−1−i32−1−i321+i32−ζ11ζ11−1+i32−1+i32−1+i321−i32−ζ7ζ7
χ8941-200041-2000−2−2i3−1−i321+i3000−2+2i3−1+i321−i3000-4-12000-4-120002+2i31+i32−1−i30002−2i31−i32−1+i3000-4-12000-4-120002+2i31+i32−1−i30002−2i31−i32−1+i300041-200041-2000−2−2i3−1−i321+i3000−2+2i3−1+i321−i3000
χ904-210004-21000−2−2i31+i3−1−i32000−2+2i31−i3−1+i32000-42-1000-42-10002+2i3−1−i31+i320002−2i3−1+i31−i32000-42-1000-42-10002+2i3−1−i31+i320002−2i3−1+i31−i320004-210004-21000−2−2i31+i3−1−i32000−2+2i31−i3−1+i32000
χ91333333-1-1-1-1-1-1000000000000-3-3-3-3-3-3111111000000000000-3-3-3-3-3-3111111000000000000333333-1-1-1-1-1-1000000000000
χ923333-3-3-1-1-1-111000000000000-3-3-3-3331111-1-1000000000000-3-3-3-3331111-1-10000000000003333-3-3-1-1-1-111000000000000
χ93333-33i−3i-1-1-11−ii000000000000-3-3-33−3i3i111-1i−i000000000000-3-3-33−3i3i111-1i−i000000000000333-33i−3i-1-1-11−ii000000000000
χ94333-3−3i3i-1-1-11i−i000000000000-3-3-333i−3i111-1−ii000000000000-3-3-333i−3i111-1−ii000000000000333-3−3i3i-1-1-11i−i000000000000
χ95123-6000-4-12000000000000000-12-3600041-2000000000000000-12-3600041-2000000000000000123-6000-4-12000000000000000
χ9612-63000-42-1000000000000000-126-30004-21000000000000000-126-30004-2100000000000000012-63000-42-1000000000000000

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