Finite Group Databasebeta

← Group #11920930

Character table — Group #11920930

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size112224466668888121216161616161624242424242424241122244666688881212161616161616242424242424242411222446666888812121616161616162424242424242424
order1224444224436662212121212121244448888366121212126612123666661212121212121212121224242424366121212126612123666661212121212121212121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1
χ311111-1-111111111-1-111-1-1-1-111-1-111-1-111111-1-111111111-1-111-1-1-1-111-1-111-1-111111-1-111111111-1-111-1-1-1-111-1-111-1-1
χ411111-1-111111111-1-111-1-1-1-1-1-111-1-11111111-1-111111111-1-111-1-1-1-1-1-111-1-11111111-1-111111111-1-111-1-1-1-1-1-111-1-111
χ5111-1-11-1-1-11111111-1-1-111-1-1i−ii−ii−ii−i111-1-11-1-1-11111111-1-1-111-1-1i−ii−ii−ii−i111-1-11-1-1-11111111-1-1-111-1-1i−ii−ii−ii−i
χ6111-1-11-1-1-11111111-1-1-111-1-1−ii−ii−ii−ii111-1-11-1-1-11111111-1-1-111-1-1−ii−ii−ii−ii111-1-11-1-1-11111111-1-1-111-1-1−ii−ii−ii−ii
χ7111-1-1-11-1-1111111-11-1-1-1-111i−i−iii−i−ii111-1-1-11-1-1111111-11-1-1-1-111i−i−iii−i−ii111-1-1-11-1-1111111-11-1-1-1-111i−i−iii−i−ii
χ8111-1-1-11-1-1111111-11-1-1-1-111−iii−i−iii−i111-1-1-11-1-1111111-11-1-1-1-111−iii−i−iii−i111-1-1-11-1-1111111-11-1-1-1-111−iii−i−iii−i
χ922222222222-1-1-1-122-1-1-1-1-1-10000000022222222222-1-1-1-122-1-1-1-1-1-10000000022222222222-1-1-1-122-1-1-1-1-1-100000000
χ1022222-2-22222-1-1-1-1-2-2-1-111110000000022222-2-22222-1-1-1-1-2-2-1-111110000000022222-2-22222-1-1-1-1-2-2-1-1111100000000
χ11222-2-22-2-2-222-1-1-1-12-211-1-11100000000222-2-22-2-2-222-1-1-1-12-211-1-11100000000222-2-22-2-2-222-1-1-1-12-211-1-11100000000
χ12222-2-2-22-2-222-1-1-1-1-221111-1-100000000222-2-2-22-2-222-1-1-1-1-221111-1-100000000222-2-2-22-2-222-1-1-1-1-221111-1-100000000
χ1322-22-2002-22-22-2-22002-200000000000022-22-2002-22-22-2-22002-200000000000022-22-2002-22-22-2-22002-2000000000000
χ1422-22-2002-22-2-111-100-11−i3i3−i3i30000000022-22-2002-22-2-111-100-11−i3i3−i3i30000000022-22-2002-22-2-111-100-11−i3i3−i3i300000000
χ1522-22-2002-22-2-111-100-11i3−i3i3−i30000000022-22-2002-22-2-111-100-11i3−i3i3−i30000000022-22-2002-22-2-111-100-11i3−i3i3−i300000000
χ1622-2-2200-222-22-2-2200-2200000000000022-2-2200-222-22-2-2200-2200000000000022-2-2200-222-22-2-2200-22000000000000
χ1722-2-2200-222-2-111-1001-1−i3i3i3−i30000000022-2-2200-222-2-111-1001-1−i3i3i3−i30000000022-2-2200-222-2-111-1001-1−i3i3i3−i300000000
χ1822-2-2200-222-2-111-1001-1i3−i3−i3i30000000022-2-2200-222-2-111-1001-1i3−i3−i3i30000000022-2-2200-222-2-111-1001-1i3−i3−i3i300000000
χ193333333-1-1-1-10000-1-10000001111-1-1-1-13333333-1-1-1-10000-1-10000001111-1-1-1-13333333-1-1-1-10000-1-10000001111-1-1-1-1
χ203333333-1-1-1-10000-1-1000000-1-1-1-111113333333-1-1-1-10000-1-1000000-1-1-1-111113333333-1-1-1-10000-1-1000000-1-1-1-11111
χ2133333-3-3-1-1-1-100001100000011-1-1-1-11133333-3-3-1-1-1-100001100000011-1-1-1-11133333-3-3-1-1-1-100001100000011-1-1-1-111
χ2233333-3-3-1-1-1-1000011000000-1-11111-1-133333-3-3-1-1-1-1000011000000-1-11111-1-133333-3-3-1-1-1-1000011000000-1-11111-1-1
χ23333-3-33-311-1-10000-11000000i−ii−i−ii−ii333-3-33-311-1-10000-11000000i−ii−i−ii−ii333-3-33-311-1-10000-11000000i−ii−i−ii−ii
χ24333-3-33-311-1-10000-11000000−ii−iii−ii−i333-3-33-311-1-10000-11000000−ii−iii−ii−i333-3-33-311-1-10000-11000000−ii−iii−ii−i
χ25333-3-3-3311-1-100001-1000000i−i−ii−iii−i333-3-3-3311-1-100001-1000000i−i−ii−iii−i333-3-3-3311-1-100001-1000000i−i−ii−iii−i
χ26333-3-3-3311-1-100001-1000000−iii−ii−i−ii333-3-3-3311-1-100001-1000000−iii−ii−i−ii333-3-3-3311-1-100001-1000000−iii−ii−i−ii
χ2766-66-600-22-220000000000000000000066-66-600-22-220000000000000000000066-66-600-22-2200000000000000000000
χ2866-6-66002-2-220000000000000000000066-6-66002-2-220000000000000000000066-6-66002-2-2200000000000000000000
χ298-80000000002−2i32i3-200000000000000008-80000000002−2i32i3-200000000000000008-80000000002−2i32i3-20000000000000000
χ308-800000000022i3−2i3-200000000000000008-800000000022i3−2i3-200000000000000008-800000000022i3−2i3-20000000000000000
χ318-8000000000-400400000000000000008-8000000000-400400000000000000008-8000000000-40040000000000000000
χ321111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ3311111111111111111111111-1-1-1-1-1-1-1-1−1+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+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−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ3411111-1-111111111-1-111-1-1-1-111-1-111-1-1−1+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−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−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+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ3511111-1-111111111-1-111-1-1-1-1-1-111-1-111−1+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−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+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+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ36111-1-11-1-1-11111111-1-1-111-1-1i−ii−ii−ii−i−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ7−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32ζ11−ζ11ζ11−ζ11ζ11−ζ11ζ11−ζ11
χ37111-1-11-1-1-11111111-1-1-111-1-1−ii−ii−ii−ii−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ7−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−ζ11ζ11−ζ11ζ11−ζ11ζ11−ζ11ζ11
χ38111-1-1-11-1-1111111-11-1-1-1-111i−i−iii−i−ii−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11
χ39111-1-1-11-1-1111111-11-1-1-1-111−iii−i−iii−i−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11
χ4022222222222-1-1-1-122-1-1-1-1-1-100000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i3200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i3200000000
χ4122222-2-22222-1-1-1-1-2-2-1-1111100000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i3200000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i3200000000
χ42222-2-22-2-2-222-1-1-1-12-211-1-11100000000−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i31−i3−1+i3−1+i31−i321−i321−i321−i32−1+i31−i3−1+i32−1+i321−i321−i32−1+i32−1+i3200000000−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i31+i3−1−i3−1−i31+i321+i321+i321+i32−1−i31+i3−1−i32−1−i321+i321+i32−1−i32−1−i3200000000
χ43222-2-2-22-2-222-1-1-1-1-221111-1-100000000−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i31−i3−1+i3−1+i31−i321−i321−i321−i321−i3−1+i3−1+i32−1+i32−1+i32−1+i321−i321−i3200000000−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i31+i3−1−i3−1−i31+i321+i321+i321+i321+i3−1−i3−1−i32−1−i32−1−i32−1−i321+i321+i3200000000
χ4422-22-2002-22-22-2-22002-2000000000000−1+i3−1+i31−i3−1+i31−i300−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i300−1+i31−i3000000000000−1−i3−1−i31+i3−1−i31+i300−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i300−1−i31+i3000000000000
χ4522-22-2002-22-2-111-100-11−i3i3−i3i300000000−1+i3−1+i31−i3−1+i31−i300−1+i31−i3−1+i31−i31−i32−1+i32−1+i321−i32001−i32−1+i323+i32−3−i323+i32−3−i3200000000−1−i3−1−i31+i3−1−i31+i300−1−i31+i3−1−i31+i31+i32−1−i32−1−i321+i32001+i32−1−i32−3+i323−i32−3+i323−i3200000000
χ4622-22-2002-22-2-111-100-11i3−i3i3−i300000000−1+i3−1+i31−i3−1+i31−i300−1+i31−i3−1+i31−i31−i32−1+i32−1+i321−i32001−i32−1+i32−3−i323+i32−3−i323+i3200000000−1−i3−1−i31+i3−1−i31+i300−1−i31+i3−1−i31+i31+i32−1−i32−1−i321+i32001+i32−1−i323−i32−3+i323−i32−3+i3200000000
χ4722-2-2200-222-22-2-2200-22000000000000−1+i3−1+i31−i31−i3−1+i3001−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i3001−i3−1+i3000000000000−1−i3−1−i31+i31+i3−1−i3001+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i3001+i3−1−i3000000000000
χ4822-2-2200-222-2-111-1001-1−i3i3i3−i300000000−1+i3−1+i31−i31−i3−1+i3001−i3−1+i3−1+i31−i31−i32−1+i32−1+i321−i3200−1+i321−i323+i32−3−i32−3−i323+i3200000000−1−i3−1−i31+i31+i3−1−i3001+i3−1−i3−1−i31+i31+i32−1−i32−1−i321+i3200−1−i321+i32−3+i323−i323−i32−3+i3200000000
χ4922-2-2200-222-2-111-1001-1i3−i3−i3i300000000−1+i3−1+i31−i31−i3−1+i3001−i3−1+i3−1+i31−i31−i32−1+i32−1+i321−i3200−1+i321−i32−3−i323+i323+i32−3−i3200000000−1−i3−1−i31+i31+i3−1−i3001+i3−1−i3−1−i31+i31+i32−1−i32−1−i321+i3200−1−i321+i323−i32−3+i32−3+i323−i3200000000
χ503333333-1-1-1-10000-1-10000001111-1-1-1-1−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i3200001−i321−i32000000−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i3200001+i321+i32000000−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ513333333-1-1-1-10000-1-1000000-1-1-1-11111−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i3200001−i321−i320000001−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i3200001+i321+i320000001+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ5233333-3-3-1-1-1-100001100000011-1-1-1-111−3+3i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i321−i321−i321−i321−i320000−1+i32−1+i32000000−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i321+i321+i321+i321+i320000−1−i32−1−i32000000−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ5333333-3-3-1-1-1-1000011000000-1-11111-1-1−3+3i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i321−i321−i321−i321−i320000−1+i32−1+i320000001−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i321+i321+i321+i321+i320000−1−i32−1−i320000001+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ54333-3-33-311-1-10000-11000000i−ii−i−ii−ii−3+3i32−3+3i32−3+3i323−3i323−3i32−3+3i323−3i32−1+i32−1+i321−i321−i3200001−i32−1+i32000000ζ7−ζ7ζ7−ζ7−ζ7ζ7−ζ7ζ7−3−3i32−3−3i32−3−3i323+3i323+3i32−3−3i323+3i32−1−i32−1−i321+i321+i3200001+i32−1−i32000000ζ11−ζ11ζ11−ζ11−ζ11ζ11−ζ11ζ11
χ55333-3-33-311-1-10000-11000000−ii−iii−ii−i−3+3i32−3+3i32−3+3i323−3i323−3i32−3+3i323−3i32−1+i32−1+i321−i321−i3200001−i32−1+i32000000−ζ7ζ7−ζ7ζ7ζ7−ζ7ζ7−ζ7−3−3i32−3−3i32−3−3i323+3i323+3i32−3−3i323+3i32−1−i32−1−i321+i321+i3200001+i32−1−i32000000−ζ11ζ11−ζ11ζ11ζ11−ζ11ζ11−ζ11
χ56333-3-3-3311-1-100001-1000000i−i−ii−iii−i−3+3i32−3+3i32−3+3i323−3i323−3i323−3i32−3+3i32−1+i32−1+i321−i321−i320000−1+i321−i32000000ζ7−ζ7−ζ7ζ7−ζ7ζ7ζ7−ζ7−3−3i32−3−3i32−3−3i323+3i323+3i323+3i32−3−3i32−1−i32−1−i321+i321+i320000−1−i321+i32000000ζ11−ζ11−ζ11ζ11−ζ11ζ11ζ11−ζ11
χ57333-3-3-3311-1-100001-1000000−iii−ii−i−ii−3+3i32−3+3i32−3+3i323−3i323−3i323−3i32−3+3i32−1+i32−1+i321−i321−i320000−1+i321−i32000000−ζ7ζ7ζ7−ζ7ζ7−ζ7−ζ7ζ7−3−3i32−3−3i32−3−3i323+3i323+3i323+3i32−3−3i32−1−i32−1−i321+i321+i320000−1−i321+i32000000−ζ11ζ11ζ11−ζ11ζ11−ζ11−ζ11ζ11
χ5866-66-600-22-2200000000000000000000−3+3i3−3+3i33−3i3−3+3i33−3i3001−i3−1+i31−i3−1+i300000000000000000000−3−3i3−3−3i33+3i3−3−3i33+3i3001+i3−1−i31+i3−1−i300000000000000000000
χ5966-6-66002-2-2200000000000000000000−3+3i3−3+3i33−3i33−3i3−3+3i300−1+i31−i31−i3−1+i300000000000000000000−3−3i3−3−3i33+3i33+3i3−3−3i300−1−i31+i31+i3−1−i300000000000000000000
χ608-80000000002−2i32i3-20000000000000000−4+4i34−4i3000000000−1+i33+i3−3−i31−i30000000000000000−4−4i34+4i3000000000−1−i3−3+i33−i31+i30000000000000000
χ618-800000000022i3−2i3-20000000000000000−4+4i34−4i3000000000−1+i3−3−i33+i31−i30000000000000000−4−4i34+4i3000000000−1−i33−i3−3+i31+i30000000000000000
χ628-8000000000-40040000000000000000−4+4i34−4i30000000002−2i300−2+2i30000000000000000−4−4i34+4i30000000002+2i300−2−2i30000000000000000
χ631111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ6411111111111111111111111-1-1-1-1-1-1-1-1−1−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−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+i321−i321−i321−i321−i321−i321−i321−i321−i32
χ6511111-1-111111111-1-111-1-1-1-111-1-111-1-1−1−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+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+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−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ6611111-1-111111111-1-111-1-1-1-1-1-111-1-111−1−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+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−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−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ67111-1-11-1-1-11111111-1-1-111-1-1i−ii−ii−ii−i−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32ζ11−ζ11ζ11−ζ11ζ11−ζ11ζ11−ζ11−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ7
χ68111-1-11-1-1-11111111-1-1-111-1-1−ii−ii−ii−ii−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−ζ11ζ11−ζ11ζ11−ζ11ζ11−ζ11ζ11−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ7
χ69111-1-1-11-1-1111111-11-1-1-1-111i−i−iii−i−ii−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7
χ70111-1-1-11-1-1111111-11-1-1-1-111−iii−i−iii−i−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7
χ7122222222222-1-1-1-122-1-1-1-1-1-100000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i3200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i3200000000
χ7222222-2-22222-1-1-1-1-2-2-1-1111100000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i3200000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i3200000000
χ73222-2-22-2-2-222-1-1-1-12-211-1-11100000000−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i31+i3−1−i3−1−i31+i321+i321+i321+i32−1−i31+i3−1−i32−1−i321+i321+i32−1−i32−1−i3200000000−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i31−i3−1+i3−1+i31−i321−i321−i321−i32−1+i31−i3−1+i32−1+i321−i321−i32−1+i32−1+i3200000000
χ74222-2-2-22-2-222-1-1-1-1-221111-1-100000000−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i31+i3−1−i3−1−i31+i321+i321+i321+i321+i3−1−i3−1−i32−1−i32−1−i32−1−i321+i321+i3200000000−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i31−i3−1+i3−1+i31−i321−i321−i321−i321−i3−1+i3−1+i32−1+i32−1+i32−1+i321−i321−i3200000000
χ7522-22-2002-22-22-2-22002-2000000000000−1−i3−1−i31+i3−1−i31+i300−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i300−1−i31+i3000000000000−1+i3−1+i31−i3−1+i31−i300−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i300−1+i31−i3000000000000
χ7622-22-2002-22-2-111-100-11−i3i3−i3i300000000−1−i3−1−i31+i3−1−i31+i300−1−i31+i3−1−i31+i31+i32−1−i32−1−i321+i32001+i32−1−i32−3+i323−i32−3+i323−i3200000000−1+i3−1+i31−i3−1+i31−i300−1+i31−i3−1+i31−i31−i32−1+i32−1+i321−i32001−i32−1+i323+i32−3−i323+i32−3−i3200000000
χ7722-22-2002-22-2-111-100-11i3−i3i3−i300000000−1−i3−1−i31+i3−1−i31+i300−1−i31+i3−1−i31+i31+i32−1−i32−1−i321+i32001+i32−1−i323−i32−3+i323−i32−3+i3200000000−1+i3−1+i31−i3−1+i31−i300−1+i31−i3−1+i31−i31−i32−1+i32−1+i321−i32001−i32−1+i32−3−i323+i32−3−i323+i3200000000
χ7822-2-2200-222-22-2-2200-22000000000000−1−i3−1−i31+i31+i3−1−i3001+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i3001+i3−1−i3000000000000−1+i3−1+i31−i31−i3−1+i3001−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i3001−i3−1+i3000000000000
χ7922-2-2200-222-2-111-1001-1−i3i3i3−i300000000−1−i3−1−i31+i31+i3−1−i3001+i3−1−i3−1−i31+i31+i32−1−i32−1−i321+i3200−1−i321+i32−3+i323−i323−i32−3+i3200000000−1+i3−1+i31−i31−i3−1+i3001−i3−1+i3−1+i31−i31−i32−1+i32−1+i321−i3200−1+i321−i323+i32−3−i32−3−i323+i3200000000
χ8022-2-2200-222-2-111-1001-1i3−i3−i3i300000000−1−i3−1−i31+i31+i3−1−i3001+i3−1−i3−1−i31+i31+i32−1−i32−1−i321+i3200−1−i321+i323−i32−3+i32−3+i323−i3200000000−1+i3−1+i31−i31−i3−1+i3001−i3−1+i3−1+i31−i31−i32−1+i32−1+i321−i3200−1+i321−i32−3−i323+i323+i32−3−i3200000000
χ813333333-1-1-1-10000-1-10000001111-1-1-1-1−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i3200001+i321+i32000000−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i3200001−i321−i32000000−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ823333333-1-1-1-10000-1-1000000-1-1-1-11111−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i3200001+i321+i320000001+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i3200001−i321−i320000001−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ8333333-3-3-1-1-1-100001100000011-1-1-1-111−3−3i32−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i321+i321+i321+i321+i320000−1−i32−1−i32000000−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i321−i321−i321−i321−i320000−1+i32−1+i32000000−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ8433333-3-3-1-1-1-1000011000000-1-11111-1-1−3−3i32−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i321+i321+i321+i321+i320000−1−i32−1−i320000001+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i321−i321−i321−i321−i320000−1+i32−1+i320000001−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ85333-3-33-311-1-10000-11000000i−ii−i−ii−ii−3−3i32−3−3i32−3−3i323+3i323+3i32−3−3i323+3i32−1−i32−1−i321+i321+i3200001+i32−1−i32000000ζ11−ζ11ζ11−ζ11−ζ11ζ11−ζ11ζ11−3+3i32−3+3i32−3+3i323−3i323−3i32−3+3i323−3i32−1+i32−1+i321−i321−i3200001−i32−1+i32000000ζ7−ζ7ζ7−ζ7−ζ7ζ7−ζ7ζ7
χ86333-3-33-311-1-10000-11000000−ii−iii−ii−i−3−3i32−3−3i32−3−3i323+3i323+3i32−3−3i323+3i32−1−i32−1−i321+i321+i3200001+i32−1−i32000000−ζ11ζ11−ζ11ζ11ζ11−ζ11ζ11−ζ11−3+3i32−3+3i32−3+3i323−3i323−3i32−3+3i323−3i32−1+i32−1+i321−i321−i3200001−i32−1+i32000000−ζ7ζ7−ζ7ζ7ζ7−ζ7ζ7−ζ7
χ87333-3-3-3311-1-100001-1000000i−i−ii−iii−i−3−3i32−3−3i32−3−3i323+3i323+3i323+3i32−3−3i32−1−i32−1−i321+i321+i320000−1−i321+i32000000ζ11−ζ11−ζ11ζ11−ζ11ζ11ζ11−ζ11−3+3i32−3+3i32−3+3i323−3i323−3i323−3i32−3+3i32−1+i32−1+i321−i321−i320000−1+i321−i32000000ζ7−ζ7−ζ7ζ7−ζ7ζ7ζ7−ζ7
χ88333-3-3-3311-1-100001-1000000−iii−ii−i−ii−3−3i32−3−3i32−3−3i323+3i323+3i323+3i32−3−3i32−1−i32−1−i321+i321+i320000−1−i321+i32000000−ζ11ζ11ζ11−ζ11ζ11−ζ11−ζ11ζ11−3+3i32−3+3i32−3+3i323−3i323−3i323−3i32−3+3i32−1+i32−1+i321−i321−i320000−1+i321−i32000000−ζ7ζ7ζ7−ζ7ζ7−ζ7−ζ7ζ7
χ8966-66-600-22-2200000000000000000000−3−3i3−3−3i33+3i3−3−3i33+3i3001+i3−1−i31+i3−1−i300000000000000000000−3+3i3−3+3i33−3i3−3+3i33−3i3001−i3−1+i31−i3−1+i300000000000000000000
χ9066-6-66002-2-2200000000000000000000−3−3i3−3−3i33+3i33+3i3−3−3i300−1−i31+i31+i3−1−i300000000000000000000−3+3i3−3+3i33−3i33−3i3−3+3i300−1+i31−i31−i3−1+i300000000000000000000
χ918-80000000002−2i32i3-20000000000000000−4−4i34+4i3000000000−1−i3−3+i33−i31+i30000000000000000−4+4i34−4i3000000000−1+i33+i3−3−i31−i30000000000000000
χ928-800000000022i3−2i3-20000000000000000−4−4i34+4i3000000000−1−i33−i3−3+i31+i30000000000000000−4+4i34−4i3000000000−1+i3−3−i33+i31−i30000000000000000
χ938-8000000000-40040000000000000000−4−4i34+4i30000000002+2i300−2−2i30000000000000000−4+4i34−4i30000000002−2i300−2+2i30000000000000000

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