Finite Group Databasebeta

← Group #13181012

Character table — Group #13181012

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size112444488991212121218181818182424242411244448899121212121818181818242424241124444889912121212181818181824242424112444488991212121218181818182424242411244448899121212121818181818242424241124444889912121212181818181824242424
order12433661212222244444446612123612336612126666121212121212126612123612336612126666121212121212126612122246666121222224444444661212661266661212666612121212121212661212661266661212666612121212121212661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111-1-11-1-1-1-111-1-11111111111111-1-11-1-1-1-111-1-11111111111111-1-11-1-1-1-111-1-11111111111111-1-11-1-1-1-111-1-11111111111111-1-11-1-1-1-111-1-11111111111111-1-11-1-1-1-111-1-1
χ311111111111-1-1111-1-1-1-1-1-11111111111111-1-1111-1-1-1-1-1-11111111111111-1-1111-1-1-1-1-1-11111111111111-1-1111-1-1-1-1-1-11111111111111-1-1111-1-1-1-1-1-11111111111111-1-1111-1-1-1-1-1-111
χ411111111111-1-1-1-111111-1-1-1-111111111111-1-1-1-111111-1-1-1-111111111111-1-1-1-111111-1-1-1-111111111111-1-1-1-111111-1-1-1-111111111111-1-1-1-111111-1-1-1-111111111111-1-1-1-111111-1-1-1-1
χ511-11111-1-1111-11-1-111-1-11-11-111-11111-1-1111-11-1-111-1-11-11-111-11111-1-1111-11-1-111-1-11-11-111-11111-1-1111-11-1-111-1-11-11-111-11111-1-1111-11-1-111-1-11-11-111-11111-1-1111-11-1-111-1-11-11-1
χ611-11111-1-1111-1-11-1-1-1111-1-1111-11111-1-1111-1-11-1-1-1111-1-1111-11111-1-1111-1-11-1-1-1111-1-1111-11111-1-1111-1-11-1-1-1111-1-1111-11111-1-1111-1-11-1-1-1111-1-1111-11111-1-1111-1-11-1-1-1111-1-11
χ711-11111-1-111-111-1-1-1-111-111-111-11111-1-111-111-1-1-1-111-111-111-11111-1-111-111-1-1-1-111-111-111-11111-1-111-111-1-1-1-111-111-111-11111-1-111-111-1-1-1-111-111-111-11111-1-111-111-1-1-1-111-111-1
χ811-11111-1-111-11-11-111-1-1-11-1111-11111-1-111-11-11-111-1-1-11-1111-11111-1-111-11-11-111-1-1-11-1111-11111-1-111-11-11-111-1-1-11-1111-11111-1-111-11-11-111-1-1-11-1111-11111-1-111-11-11-111-1-1-11-11
χ9222222222-2-20000-200000000222222222-2-20000-200000000222222222-2-20000-200000000222222222-2-20000-200000000222222222-2-20000-200000000222222222-2-20000-200000000
χ1022-22222-2-2-2-2000020000000022-22222-2-2-2-2000020000000022-22222-2-2-2-2000020000000022-22222-2-2-2-2000020000000022-22222-2-2-2-2000020000000022-22222-2-2-2-20000200000000
χ112-2022-2-2002-200000002i−2i00002-2022-2-2002-200000002i−2i00002-2022-2-2002-200000002i−2i00002-2022-2-2002-200000002i−2i00002-2022-2-2002-200000002i−2i00002-2022-2-2002-200000002i−2i0000
χ122-2022-2-2002-20000000−2i2i00002-2022-2-2002-20000000−2i2i00002-2022-2-2002-20000000−2i2i00002-2022-2-2002-20000000−2i2i00002-2022-2-2002-20000000−2i2i00002-2022-2-2002-20000000−2i2i0000
χ132-2022-2-200-22000002i−2i0000002-2022-2-200-22000002i−2i0000002-2022-2-200-22000002i−2i0000002-2022-2-200-22000002i−2i0000002-2022-2-200-22000002i−2i0000002-2022-2-200-22000002i−2i000000
χ142-2022-2-200-2200000−2i2i0000002-2022-2-200-2200000−2i2i0000002-2022-2-200-2200000−2i2i0000002-2022-2-200-2200000−2i2i0000002-2022-2-200-2200000−2i2i0000002-2022-2-200-2200000−2i2i000000
χ154441-2-21-210000220000000-1-14441-2-21-210000220000000-1-14441-2-21-210000220000000-1-14441-2-21-210000220000000-1-14441-2-21-210000220000000-1-14441-2-21-210000220000000-1-1
χ164441-2-21-210000-2-20000000114441-2-21-210000-2-20000000114441-2-21-210000-2-20000000114441-2-21-210000-2-20000000114441-2-21-210000-2-20000000114441-2-21-210000-2-2000000011
χ17444-211-21-200220000000-1-100444-211-21-200220000000-1-100444-211-21-200220000000-1-100444-211-21-200220000000-1-100444-211-21-200220000000-1-100444-211-21-200220000000-1-100
χ18444-211-21-200-2-200000001100444-211-21-200-2-200000001100444-211-21-200-2-200000001100444-211-21-200-2-200000001100444-211-21-200-2-200000001100444-211-21-200-2-200000001100
χ1944-41-2-212-100002-20000000-1144-41-2-212-100002-20000000-1144-41-2-212-100002-20000000-1144-41-2-212-100002-20000000-1144-41-2-212-100002-20000000-1144-41-2-212-100002-20000000-11
χ2044-41-2-212-10000-2200000001-144-41-2-212-10000-2200000001-144-41-2-212-10000-2200000001-144-41-2-212-10000-2200000001-144-41-2-212-10000-2200000001-144-41-2-212-10000-2200000001-1
χ2144-4-211-2-12002-20000000-110044-4-211-2-12002-20000000-110044-4-211-2-12002-20000000-110044-4-211-2-12002-20000000-110044-4-211-2-12002-20000000-110044-4-211-2-12002-20000000-1100
χ2244-4-211-2-1200-2200000001-10044-4-211-2-1200-2200000001-10044-4-211-2-1200-2200000001-10044-4-211-2-1200-2200000001-10044-4-211-2-1200-2200000001-10044-4-211-2-1200-2200000001-100
χ238-802-44-2000000000000000008-802-44-2000000000000000008-802-44-2000000000000000008-802-44-2000000000000000008-802-44-2000000000000000008-802-44-200000000000000000
χ248-80-42-24000000000000000008-80-42-24000000000000000008-80-42-24000000000000000008-80-42-24000000000000000008-80-42-24000000000000000008-80-42-2400000000000000000
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−i32111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ261111111111111-1-11-1-1-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+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−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321111111111111-1-11-1-1-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+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−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32
χ2711111111111-1-1111-1-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+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−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i3211111111111-1-1111-1-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+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−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ2811111111111-1-1-1-111111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i3211111111111-1-1-1-111111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ2911-11111-1-1111-11-1-111-1-11-11-1−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i3211-11111-1-1111-11-1-111-1-11-11-1−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32
χ3011-11111-1-1111-1-11-1-1-1111-1-11−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i3211-11111-1-1111-1-11-1-1-1111-1-11−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32
χ3111-11111-1-111-111-1-1-1-111-111-1−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i3211-11111-1-111-111-1-1-1-111-111-1−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32
χ3211-11111-1-111-11-11-111-1-1-11-11−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i3211-11111-1-111-11-11-111-1-1-11-11−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32
χ33222222222-2-20000-200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i300001−i300000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i300001+i300000000222222222-2-20000-200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i300001−i300000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i300001+i300000000
χ3422-22222-2-2-2-20000200000000−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i30000−1+i300000000−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i30000−1−i30000000022-22222-2-2-2-20000200000000−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i30000−1+i300000000−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i30000−1−i300000000
χ352-2022-2-2002-200000002i−2i0000−1+i31−i30−1+i3−1+i31−i31−i300−1+i31−i300000002ζ7−2ζ70000−1−i31+i30−1−i3−1−i31+i31+i300−1−i31+i300000002ζ11−2ζ1100002-2022-2-2002-200000002i−2i0000−1+i31−i30−1+i3−1+i31−i31−i300−1+i31−i300000002ζ7−2ζ70000−1−i31+i30−1−i3−1−i31+i31+i300−1−i31+i300000002ζ11−2ζ110000
χ362-2022-2-2002-20000000−2i2i0000−1+i31−i30−1+i3−1+i31−i31−i300−1+i31−i30000000−2ζ72ζ70000−1−i31+i30−1−i3−1−i31+i31+i300−1−i31+i30000000−2ζ112ζ1100002-2022-2-2002-20000000−2i2i0000−1+i31−i30−1+i3−1+i31−i31−i300−1+i31−i30000000−2ζ72ζ70000−1−i31+i30−1−i3−1−i31+i31+i300−1−i31+i30000000−2ζ112ζ110000
χ372-2022-2-200-22000002i−2i000000−1+i31−i30−1+i3−1+i31−i31−i3001−i3−1+i3000002ζ7−2ζ7000000−1−i31+i30−1−i3−1−i31+i31+i3001+i3−1−i3000002ζ11−2ζ110000002-2022-2-200-22000002i−2i000000−1+i31−i30−1+i3−1+i31−i31−i3001−i3−1+i3000002ζ7−2ζ7000000−1−i31+i30−1−i3−1−i31+i31+i3001+i3−1−i3000002ζ11−2ζ11000000
χ382-2022-2-200-2200000−2i2i000000−1+i31−i30−1+i3−1+i31−i31−i3001−i3−1+i300000−2ζ72ζ7000000−1−i31+i30−1−i3−1−i31+i31+i3001+i3−1−i300000−2ζ112ζ110000002-2022-2-200-2200000−2i2i000000−1+i31−i30−1+i3−1+i31−i31−i3001−i3−1+i300000−2ζ72ζ7000000−1−i31+i30−1−i3−1−i31+i31+i3001+i3−1−i300000−2ζ112ζ11000000
χ394441-2-21-210000220000000-1-1−2+2i3−2+2i3−2+2i3−1+i321−i31−i3−1+i321−i3−1+i320000−1+i3−1+i300000001−i321−i32−2−2i3−2−2i3−2−2i3−1−i321+i31+i3−1−i321+i3−1−i320000−1−i3−1−i300000001+i321+i324441-2-21-210000220000000-1-1−2+2i3−2+2i3−2+2i3−1+i321−i31−i3−1+i321−i3−1+i320000−1+i3−1+i300000001−i321−i32−2−2i3−2−2i3−2−2i3−1−i321+i31+i3−1−i321+i3−1−i320000−1−i3−1−i300000001+i321+i32
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χ741111111111111-1-11-1-1-1-111-1-11111111111111-1-11-1-1-1-111-1-11111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-111
χ7511111111111-1-1111-1-1-1-1-1-11111111111111-1-1111-1-1-1-1-1-11111111111111-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1
χ7611111111111-1-1-1-111111-1-1-1-111111111111-1-1-1-111111-1-1-1-111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111
χ7711-11111-1-1111-11-1-111-1-11-11-111-11111-1-1111-11-1-111-1-11-11-111-11111-1-1111-11-1-111-1-11-11-1-1-11-1-1-1-111-1-1-11-111-1-111-11-11-1-11-1-1-1-111-1-1-11-111-1-111-11-11-1-11-1-1-1-111-1-1-11-111-1-111-11-11
χ7811-11111-1-1111-1-11-1-1-1111-1-1111-11111-1-1111-1-11-1-1-1111-1-1111-11111-1-1111-1-11-1-1-1111-1-11-1-11-1-1-1-111-1-1-111-1111-1-1-111-1-1-11-1-1-1-111-1-1-111-1111-1-1-111-1-1-11-1-1-1-111-1-1-111-1111-1-1-111-1
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χ8011-11111-1-111-11-11-111-1-1-11-1111-11111-1-111-11-11-111-1-1-11-1111-11111-1-111-11-11-111-1-1-11-11-1-11-1-1-1-111-1-11-11-11-1-1111-11-1-1-11-1-1-1-111-1-11-11-11-1-1111-11-1-1-11-1-1-1-111-1-11-11-11-1-1111-11-1
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χ1102-2022-2-200-2200000−2i2i000000−1+i31−i30−1+i3−1+i31−i31−i3001−i3−1+i300000−2ζ72ζ7000000−1−i31+i30−1−i3−1−i31+i31+i3001+i3−1−i300000−2ζ112ζ11000000-220-2-222002-2000002i−2i0000001−i3−1+i301−i31−i3−1+i3−1+i300−1+i31−i3000002ζ7−2ζ70000001+i3−1−i301+i31+i3−1−i3−1−i300−1−i31+i3000002ζ11−2ζ11000000
χ1114441-2-21-210000220000000-1-1−2+2i3−2+2i3−2+2i3−1+i321−i31−i3−1+i321−i3−1+i320000−1+i3−1+i300000001−i321−i32−2−2i3−2−2i3−2−2i3−1−i321+i31+i3−1−i321+i3−1−i320000−1−i3−1−i300000001+i321+i32-4-4-4-122-12-10000-2-20000000112−2i32−2i32−2i31−i32−1+i3−1+i31−i32−1+i31−i3200001−i31−i30000000−1+i32−1+i322+2i32+2i32+2i31+i32−1−i3−1−i31+i32−1−i31+i3200001+i31+i30000000−1−i32−1−i32
χ1124441-2-21-210000-2-2000000011−2+2i3−2+2i3−2+2i3−1+i321−i31−i3−1+i321−i3−1+i3200001−i31−i30000000−1+i32−1+i32−2−2i3−2−2i3−2−2i3−1−i321+i31+i3−1−i321+i3−1−i3200001+i31+i30000000−1−i32−1−i32-4-4-4-122-12-10000220000000-1-12−2i32−2i32−2i31−i32−1+i3−1+i31−i32−1+i31−i320000−1+i3−1+i300000001−i321−i322+2i32+2i32+2i31+i32−1−i3−1−i31+i32−1−i31+i320000−1−i3−1−i300000001+i321+i32
χ113444-211-21-200220000000-1-100−2+2i3−2+2i3−2+2i31−i3−1+i32−1+i321−i3−1+i321−i300−1+i3−1+i300000001−i321−i3200−2−2i3−2−2i3−2−2i31+i3−1−i32−1−i321+i3−1−i321+i300−1−i3−1−i300000001+i321+i3200-4-4-42-1-12-1200-2-2000000011002−2i32−2i32−2i3−1+i31−i321−i32−1+i31−i32−1+i3001−i31−i30000000−1+i32−1+i32002+2i32+2i32+2i3−1−i31+i321+i32−1−i31+i32−1−i3001+i31+i30000000−1−i32−1−i3200
χ114444-211-21-200-2-200000001100−2+2i3−2+2i3−2+2i31−i3−1+i32−1+i321−i3−1+i321−i3001−i31−i30000000−1+i32−1+i3200−2−2i3−2−2i3−2−2i31+i3−1−i32−1−i321+i3−1−i321+i3001+i31+i30000000−1−i32−1−i3200-4-4-42-1-12-1200220000000-1-1002−2i32−2i32−2i3−1+i31−i321−i32−1+i31−i32−1+i300−1+i3−1+i300000001−i321−i32002+2i32+2i32+2i3−1−i31+i321+i32−1−i31+i32−1−i300−1−i3−1−i300000001+i321+i3200
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χ11644-41-2-212-10000-2200000001-1−2+2i3−2+2i32−2i3−1+i321−i31−i3−1+i32−1+i31−i3200001−i3−1+i30000000−1+i321−i32−2−2i3−2−2i32+2i3−1−i321+i31+i3−1−i32−1−i31+i3200001+i3−1−i30000000−1−i321+i32-4-44-122-1-2100002-20000000-112−2i32−2i3−2+2i31−i32−1+i3−1+i31−i321−i3−1+i320000−1+i31−i300000001−i32−1+i322+2i32+2i3−2−2i31+i32−1−i3−1−i31+i321+i3−1−i320000−1−i31+i300000001+i32−1−i32
χ11744-4-211-2-12002-20000000-1100−2+2i3−2+2i32−2i31−i3−1+i32−1+i321−i31−i32−1+i300−1+i31−i300000001−i32−1+i3200−2−2i3−2−2i32+2i31+i3−1−i32−1−i321+i31+i32−1−i300−1−i31+i300000001+i32−1−i3200-4-442-1-121-200-2200000001-1002−2i32−2i3−2+2i3−1+i31−i321−i32−1+i3−1+i321−i3001−i3−1+i30000000−1+i321−i32002+2i32+2i3−2−2i3−1−i31+i321+i32−1−i3−1−i321+i3001+i3−1−i30000000−1−i321+i3200
χ11844-4-211-2-1200-2200000001-100−2+2i3−2+2i32−2i31−i3−1+i32−1+i321−i31−i32−1+i3001−i3−1+i30000000−1+i321−i3200−2−2i3−2−2i32+2i31+i3−1−i32−1−i321+i31+i32−1−i3001+i3−1−i30000000−1−i321+i3200-4-442-1-121-2002-20000000-11002−2i32−2i3−2+2i3−1+i31−i321−i32−1+i3−1+i321−i300−1+i31−i300000001−i32−1+i32002+2i32+2i3−2−2i3−1−i31+i321+i32−1−i3−1−i321+i300−1−i31+i300000001+i32−1−i3200
χ1198-802-44-200000000000000000−4+4i34−4i30−1+i32−2i3−2+2i31−i300000000000000000−4−4i34+4i30−1−i32+2i3−2−2i31+i300000000000000000-880-24-42000000000000000004−4i3−4+4i301−i3−2+2i32−2i3−1+i3000000000000000004+4i3−4−4i301+i3−2−2i32+2i3−1−i300000000000000000
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χ1221111111111111-1-11-1-1-1-111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−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+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1111+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32
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χ12511-11111-1-1111-11-1-111-1-11-11-1−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32-1-11-1-1-1-111-1-1-11-111-1-111-11-111+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32
χ12611-11111-1-1111-1-11-1-1-1111-1-11−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32-1-11-1-1-1-111-1-1-111-1111-1-1-111-11+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32
χ12711-11111-1-111-111-1-1-1-111-111-1−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32-1-11-1-1-1-111-1-11-1-11111-1-11-1-111+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32
χ12811-11111-1-111-11-11-111-1-1-11-11−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32-1-11-1-1-1-111-1-11-11-11-1-1111-11-11+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32
χ129222222222-2-20000-200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i300001+i300000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i300001−i300000000-2-2-2-2-2-2-2-2-22200002000000001+i31+i31+i31+i31+i31+i31+i31+i31+i3−1−i3−1−i30000−1−i3000000001−i31−i31−i31−i31−i31−i31−i31−i31−i3−1+i3−1+i30000−1+i300000000
χ13022-22222-2-2-2-20000200000000−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i30000−1−i300000000−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i30000−1+i300000000-2-22-2-2-2-222220000-2000000001+i31+i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i300001+i3000000001−i31−i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i300001−i300000000
χ1312-2022-2-2002-200000002i−2i0000−1−i31+i30−1−i3−1−i31+i31+i300−1−i31+i300000002ζ11−2ζ110000−1+i31−i30−1+i3−1+i31−i31−i300−1+i31−i300000002ζ7−2ζ70000-220-2-22200-220000000−2i2i00001+i3−1−i301+i31+i3−1−i3−1−i3001+i3−1−i30000000−2ζ112ζ1100001−i3−1+i301−i31−i3−1+i3−1+i3001−i3−1+i30000000−2ζ72ζ70000
χ1322-2022-2-2002-20000000−2i2i0000−1−i31+i30−1−i3−1−i31+i31+i300−1−i31+i30000000−2ζ112ζ110000−1+i31−i30−1+i3−1+i31−i31−i300−1+i31−i30000000−2ζ72ζ70000-220-2-22200-2200000002i−2i00001+i3−1−i301+i31+i3−1−i3−1−i3001+i3−1−i300000002ζ11−2ζ1100001−i3−1+i301−i31−i3−1+i3−1+i3001−i3−1+i300000002ζ7−2ζ70000
χ1332-2022-2-200-22000002i−2i000000−1−i31+i30−1−i3−1−i31+i31+i3001+i3−1−i3000002ζ11−2ζ11000000−1+i31−i30−1+i3−1+i31−i31−i3001−i3−1+i3000002ζ7−2ζ7000000-220-2-222002-200000−2i2i0000001+i3−1−i301+i31+i3−1−i3−1−i300−1−i31+i300000−2ζ112ζ110000001−i3−1+i301−i31−i3−1+i3−1+i300−1+i31−i300000−2ζ72ζ7000000
χ1342-2022-2-200-2200000−2i2i000000−1−i31+i30−1−i3−1−i31+i31+i3001+i3−1−i300000−2ζ112ζ11000000−1+i31−i30−1+i3−1+i31−i31−i3001−i3−1+i300000−2ζ72ζ7000000-220-2-222002-2000002i−2i0000001+i3−1−i301+i31+i3−1−i3−1−i300−1−i31+i3000002ζ11−2ζ110000001−i3−1+i301−i31−i3−1+i3−1+i300−1+i31−i3000002ζ7−2ζ7000000
χ1354441-2-21-210000220000000-1-1−2−2i3−2−2i3−2−2i3−1−i321+i31+i3−1−i321+i3−1−i320000−1−i3−1−i300000001+i321+i32−2+2i3−2+2i3−2+2i3−1+i321−i31−i3−1+i321−i3−1+i320000−1+i3−1+i300000001−i321−i32-4-4-4-122-12-10000-2-20000000112+2i32+2i32+2i31+i32−1−i3−1−i31+i32−1−i31+i3200001+i31+i30000000−1−i32−1−i322−2i32−2i32−2i31−i32−1+i3−1+i31−i32−1+i31−i3200001−i31−i30000000−1+i32−1+i32
χ1364441-2-21-210000-2-2000000011−2−2i3−2−2i3−2−2i3−1−i321+i31+i3−1−i321+i3−1−i3200001+i31+i30000000−1−i32−1−i32−2+2i3−2+2i3−2+2i3−1+i321−i31−i3−1+i321−i3−1+i3200001−i31−i30000000−1+i32−1+i32-4-4-4-122-12-10000220000000-1-12+2i32+2i32+2i31+i32−1−i3−1−i31+i32−1−i31+i320000−1−i3−1−i300000001+i321+i322−2i32−2i32−2i31−i32−1+i3−1+i31−i32−1+i31−i320000−1+i3−1+i300000001−i321−i32
χ137444-211-21-200220000000-1-100−2−2i3−2−2i3−2−2i31+i3−1−i32−1−i321+i3−1−i321+i300−1−i3−1−i300000001+i321+i3200−2+2i3−2+2i3−2+2i31−i3−1+i32−1+i321−i3−1+i321−i300−1+i3−1+i300000001−i321−i3200-4-4-42-1-12-1200-2-2000000011002+2i32+2i32+2i3−1−i31+i321+i32−1−i31+i32−1−i3001+i31+i30000000−1−i32−1−i32002−2i32−2i32−2i3−1+i31−i321−i32−1+i31−i32−1+i3001−i31−i30000000−1+i32−1+i3200
χ138444-211-21-200-2-200000001100−2−2i3−2−2i3−2−2i31+i3−1−i32−1−i321+i3−1−i321+i3001+i31+i30000000−1−i32−1−i3200−2+2i3−2+2i3−2+2i31−i3−1+i32−1+i321−i3−1+i321−i3001−i31−i30000000−1+i32−1+i3200-4-4-42-1-12-1200220000000-1-1002+2i32+2i32+2i3−1−i31+i321+i32−1−i31+i32−1−i300−1−i3−1−i300000001+i321+i32002−2i32−2i32−2i3−1+i31−i321−i32−1+i31−i32−1+i300−1+i3−1+i300000001−i321−i3200
χ13944-41-2-212-100002-20000000-11−2−2i3−2−2i32+2i3−1−i321+i31+i3−1−i32−1−i31+i320000−1−i31+i300000001+i32−1−i32−2+2i3−2+2i32−2i3−1+i321−i31−i3−1+i32−1+i31−i320000−1+i31−i300000001−i32−1+i32-4-44-122-1-210000-2200000001-12+2i32+2i3−2−2i31+i32−1−i3−1−i31+i321+i3−1−i3200001+i3−1−i30000000−1−i321+i322−2i32−2i3−2+2i31−i32−1+i3−1+i31−i321−i3−1+i3200001−i3−1+i30000000−1+i321−i32
χ14044-41-2-212-10000-2200000001-1−2−2i3−2−2i32+2i3−1−i321+i31+i3−1−i32−1−i31+i3200001+i3−1−i30000000−1−i321+i32−2+2i3−2+2i32−2i3−1+i321−i31−i3−1+i32−1+i31−i3200001−i3−1+i30000000−1+i321−i32-4-44-122-1-2100002-20000000-112+2i32+2i3−2−2i31+i32−1−i3−1−i31+i321+i3−1−i320000−1−i31+i300000001+i32−1−i322−2i32−2i3−2+2i31−i32−1+i3−1+i31−i321−i3−1+i320000−1+i31−i300000001−i32−1+i32
χ14144-4-211-2-12002-20000000-1100−2−2i3−2−2i32+2i31+i3−1−i32−1−i321+i31+i32−1−i300−1−i31+i300000001+i32−1−i3200−2+2i3−2+2i32−2i31−i3−1+i32−1+i321−i31−i32−1+i300−1+i31−i300000001−i32−1+i3200-4-442-1-121-200-2200000001-1002+2i32+2i3−2−2i3−1−i31+i321+i32−1−i3−1−i321+i3001+i3−1−i30000000−1−i321+i32002−2i32−2i3−2+2i3−1+i31−i321−i32−1+i3−1+i321−i3001−i3−1+i30000000−1+i321−i3200
χ14244-4-211-2-1200-2200000001-100−2−2i3−2−2i32+2i31+i3−1−i32−1−i321+i31+i32−1−i3001+i3−1−i30000000−1−i321+i3200−2+2i3−2+2i32−2i31−i3−1+i32−1+i321−i31−i32−1+i3001−i3−1+i30000000−1+i321−i3200-4-442-1-121-2002-20000000-11002+2i32+2i3−2−2i3−1−i31+i321+i32−1−i3−1−i321+i300−1−i31+i300000001+i32−1−i32002−2i32−2i3−2+2i3−1+i31−i321−i32−1+i3−1+i321−i300−1+i31−i300000001−i32−1+i3200
χ1438-802-44-200000000000000000−4−4i34+4i30−1−i32+2i3−2−2i31+i300000000000000000−4+4i34−4i30−1+i32−2i3−2+2i31−i300000000000000000-880-24-42000000000000000004+4i3−4−4i301+i3−2−2i32+2i3−1−i3000000000000000004−4i3−4+4i301−i3−2+2i32−2i3−1+i300000000000000000
χ1448-80-42-2400000000000000000−4−4i34+4i302+2i3−1−i31+i3−2−2i300000000000000000−4+4i34−4i302−2i3−1+i31−i3−2+2i300000000000000000-8804-22-4000000000000000004+4i3−4−4i30−2−2i31+i3−1−i32+2i3000000000000000004−4i3−4+4i30−2+2i31−i3−1+i32−2i300000000000000000

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