Finite Group Databasebeta

← Group #13164427

Character table — Group #13164427

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11222223333666666661212121212122424242424242424242424243636363636363636363636361122222333366666666121212121212242424242424242424242424363636363636363636363636
order123461212336624661212121266612121233366612121212121244881212121224242424226461212666624661212121266612121266666612121212121244881212121224242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321111111−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ41111111−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i321111111−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i32
χ51111111−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321111111−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ61111111−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i321111111−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i32
χ7111-11-1-11111-11-1-1-1-111-1-1-1111111111-1-1-1-1-1-11-11-11-11-11-11-1111-11-1-11111-11-1-1-1-111-1-1-1111111111-1-1-1-1-1-11-11-11-11-11-11-1
χ8111-11-1-11111-11-1-1-1-111-1-1-1111111111-1-1-1-1-1-1-11-11-11-11-11-11111-11-1-11111-11-1-1-1-111-1-1-1111111111-1-1-1-1-1-1-11-11-11-11-11-11
χ9111-11-1-1−1−i32−1+i32−1−i32−1+i32-111+i321−i321+i321−i32−1−i32−1+i32-11+i321−i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i321-11-1−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32111-11-1-1−1−i32−1+i32−1−i32−1+i32-111+i321−i321+i321−i32−1−i32−1+i32-11+i321−i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i321-11-1−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32
χ10111-11-1-1−1−i32−1+i32−1−i32−1+i32-111+i321−i321+i321−i32−1−i32−1+i32-11+i321−i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-11-111+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i32111-11-1-1−1−i32−1+i32−1−i32−1+i32-111+i321−i321+i321−i32−1−i32−1+i32-11+i321−i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-11-111+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i32
χ11111-11-1-1−1+i32−1−i32−1+i32−1−i32-111−i321+i321−i321+i32−1+i32−1−i32-11−i321+i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i321-11-1−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32111-11-1-1−1+i32−1−i32−1+i32−1−i32-111−i321+i321−i321+i32−1+i32−1−i32-11−i321+i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i321-11-1−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32
χ12111-11-1-1−1+i32−1−i32−1+i32−1−i32-111−i321+i321−i321+i32−1+i32−1−i32-11−i321+i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32-11-111−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i32111-11-1-1−1+i32−1−i32−1+i32−1−i32-111−i321+i321−i321+i32−1+i32−1−i32-11−i321+i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32-11-111−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i32
χ132222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-10000000000002222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ142222222−1−i3−1+i3−1−i3−1+i322−1−i3−1+i3−1−i3−1+i3−1−i3−1+i32−1−i3−1+i32−1−i3−1+i3-11+i321−i32-11+i321−i32-1-11+i321+i321−i321−i320000000000002222222−1−i3−1+i3−1−i3−1+i322−1−i3−1+i3−1−i3−1+i3−1−i3−1+i32−1−i3−1+i32−1−i3−1+i3-11+i321−i32-11+i321−i32-1-11+i321+i321−i321−i32000000000000
χ152222222−1+i3−1−i3−1+i3−1−i322−1+i3−1−i3−1+i3−1−i3−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3-11−i321+i32-11−i321+i32-1-11−i321−i321+i321+i320000000000002222222−1+i3−1−i3−1+i3−1−i322−1+i3−1−i3−1+i3−1−i3−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3-11−i321+i32-11−i321+i32-1-11−i321−i321+i321+i32000000000000
χ16222-22-2-22222-22-2-2-2-222-2-2-2222-1-1-1-1-1-1111111000000000000222-22-2-22222-22-2-2-2-222-2-2-2222-1-1-1-1-1-1111111000000000000
χ17222-22-2-2−1−i3−1+i3−1−i3−1+i3-221+i31−i31+i31−i3−1−i3−1+i3-21+i31−i32−1−i3−1+i3-11+i321−i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i32000000000000222-22-2-2−1−i3−1+i3−1−i3−1+i3-221+i31−i31+i31−i3−1−i3−1+i3-21+i31−i32−1−i3−1+i3-11+i321−i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i32000000000000
χ18222-22-2-2−1+i3−1−i3−1+i3−1−i3-221−i31+i31−i31+i3−1+i3−1−i3-21−i31+i32−1+i3−1−i3-11−i321+i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i32000000000000222-22-2-2−1+i3−1−i3−1+i3−1−i3-221−i31+i31−i31+i3−1+i3−1−i3-21−i31+i32−1+i3−1−i3-11−i321+i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i32000000000000
χ1933333333333-1-1-1-133-1-1-1-1-1-1-1-100000000000011-1-11111-1-1-1-133333333333-1-1-1-133-1-1-1-1-1-1-1-100000000000011-1-11111-1-1-1-1
χ2033333333333-1-1-1-133-1-1-1-1-1-1-1-1000000000000-1-111-1-1-1-1111133333333333-1-1-1-133-1-1-1-1-1-1-1-1000000000000-1-111-1-1-1-11111
χ213333333−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321−i32−3−3i32−3+3i321+i321−i32-11+i321−i32-11+i321−i3200000000000011-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i323333333−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321−i32−3−3i32−3+3i321+i321−i32-11+i321−i32-11+i321−i3200000000000011-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32
χ223333333−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321−i32−3−3i32−3+3i321+i321−i32-11+i321−i32-11+i321−i32000000000000-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i323333333−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321−i32−3−3i32−3+3i321+i321−i32-11+i321−i32-11+i321−i32000000000000-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32
χ233333333−3+3i32−3−3i32−3+3i32−3−3i32-1-11−i321+i32−3+3i32−3−3i321−i321+i32-11−i321+i32-11−i321+i3200000000000011-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i323333333−3+3i32−3−3i32−3+3i32−3−3i32-1-11−i321+i32−3+3i32−3−3i321−i321+i32-11−i321+i32-11−i321+i3200000000000011-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32
χ243333333−3+3i32−3−3i32−3+3i32−3−3i32-1-11−i321+i32−3+3i32−3−3i321−i321+i32-11−i321+i32-11−i321+i32000000000000-1-1111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i323333333−3+3i32−3−3i32−3+3i32−3−3i32-1-11−i321+i32−3+3i32−3−3i321−i321+i32-11−i321+i32-11−i321+i32000000000000-1-1111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32
χ25333-33-3-333331-111-3-3-1-1111-1-1-10000000000001-1-111-11-1-11-11333-33-3-333331-111-3-3-1-1111-1-1-10000000000001-1-111-11-1-11-11
χ26333-33-3-333331-111-3-3-1-1111-1-1-1000000000000-111-1-11-111-11-1333-33-3-333331-111-3-3-1-1111-1-1-1000000000000-111-1-11-111-11-1
χ27333-33-3-3−3−3i32−3+3i32−3−3i32−3+3i321-1−1−i32−1+i323+3i323−3i321+i321−i321−1−i32−1+i32-11+i321−i320000000000001-1-11−1−i321+i32−1+i321−i321+i32−1−i321−i32−1+i32333-33-3-3−3−3i32−3+3i32−3−3i32−3+3i321-1−1−i32−1+i323+3i323−3i321+i321−i321−1−i32−1+i32-11+i321−i320000000000001-1-11−1−i321+i32−1+i321−i321+i32−1−i321−i32−1+i32
χ28333-33-3-3−3−3i32−3+3i32−3−3i32−3+3i321-1−1−i32−1+i323+3i323−3i321+i321−i321−1−i32−1+i32-11+i321−i32000000000000-111-11+i32−1−i321−i32−1+i32−1−i321+i32−1+i321−i32333-33-3-3−3−3i32−3+3i32−3−3i32−3+3i321-1−1−i32−1+i323+3i323−3i321+i321−i321−1−i32−1+i32-11+i321−i32000000000000-111-11+i32−1−i321−i32−1+i32−1−i321+i32−1+i321−i32
χ29333-33-3-3−3+3i32−3−3i32−3+3i32−3−3i321-1−1+i32−1−i323−3i323+3i321−i321+i321−1+i32−1−i32-11−i321+i320000000000001-1-11−1+i321−i32−1−i321+i321−i32−1+i321+i32−1−i32333-33-3-3−3+3i32−3−3i32−3+3i32−3−3i321-1−1+i32−1−i323−3i323+3i321−i321+i321−1+i32−1−i32-11−i321+i320000000000001-1-11−1+i321−i32−1−i321+i321−i32−1+i321+i32−1−i32
χ30333-33-3-3−3+3i32−3−3i32−3+3i32−3−3i321-1−1+i32−1−i323−3i323+3i321−i321+i321−1+i32−1−i32-11−i321+i32000000000000-111-11−i32−1+i321+i32−1−i32−1+i321−i32−1−i321+i32333-33-3-3−3+3i32−3−3i32−3+3i32−3−3i321-1−1+i32−1−i323−3i323+3i321−i321+i321−1+i32−1−i32-11−i321+i32000000000000-111-11−i32−1+i321+i32−1−i32−1+i321−i32−1−i321+i32
χ314-440-40044-4-400000000000000111-1-1-13−33−33−30000000000004-440-40044-4-400000000000000111-1-1-13−33−33−3000000000000
χ324-440-40044-4-400000000000000111-1-1-1−33−33−330000000000004-440-40044-4-400000000000000111-1-1-1−33−33−33000000000000
χ334-440-40044-4-400000000000000-2-2-22220000000000000000004-440-40044-4-400000000000000-2-2-2222000000000000000000
χ344-440-400−2−2i3−2+2i32+2i32−2i3000000000000001−1−i32−1+i32-11+i321−i323−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ110000000000004-440-400−2−2i3−2+2i32+2i32−2i3000000000000001−1−i32−1+i32-11+i321−i323−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11000000000000
χ354-440-400−2−2i3−2+2i32+2i32−2i3000000000000001−1−i32−1+i32-11+i321−i32−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ110000000000004-440-400−2−2i3−2+2i32+2i32−2i3000000000000001−1−i32−1+i32-11+i321−i32−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11000000000000
χ364-440-400−2−2i3−2+2i32+2i32−2i300000000000000-21+i31−i32−1−i3−1+i30000000000000000004-440-400−2−2i3−2+2i32+2i32−2i300000000000000-21+i31−i32−1−i3−1+i3000000000000000000
χ374-440-400−2+2i3−2−2i32−2i32+2i3000000000000001−1+i32−1−i32-11−i321+i323−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ110000000000004-440-400−2+2i3−2−2i32−2i32+2i3000000000000001−1+i32−1−i32-11−i321+i323−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11000000000000
χ384-440-400−2+2i3−2−2i32−2i32+2i3000000000000001−1+i32−1−i32-11−i321+i32−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ110000000000004-440-400−2+2i3−2−2i32−2i32+2i3000000000000001−1+i32−1−i32-11−i321+i32−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11000000000000
χ394-440-400−2+2i3−2−2i32−2i32+2i300000000000000-21−i31+i32−1+i3−1−i30000000000000000004-440-400−2+2i3−2−2i32−2i32+2i300000000000000-21−i31+i32−1+i3−1−i3000000000000000000
χ4066-36-3-3-3000066000000-300-30000000000000000000000000066-36-3-3-3000066000000-300-300000000000000000000000000
χ4166-36-3-3-30000-2-24400441-2-21-2-200000000000000000000000066-36-3-3-30000-2-24400441-2-21-2-2000000000000000000000000
χ4266-36-3-3-30000-2-2−2−2i3−2+2i300−2−2i3−2+2i311+i31−i311+i31−i300000000000000000000000066-36-3-3-30000-2-2−2−2i3−2+2i300−2−2i3−2+2i311+i31−i311+i31−i3000000000000000000000000
χ4366-36-3-3-30000-2-2−2+2i3−2−2i300−2+2i3−2−2i311−i31+i311−i31+i300000000000000000000000066-36-3-3-30000-2-2−2+2i3−2−2i300−2+2i3−2−2i311−i31+i311−i31+i3000000000000000000000000
χ4466-3-6-33300002-2-4-40044-1221-2-200000000000000000000000066-3-6-33300002-2-4-40044-1221-2-2000000000000000000000000
χ4566-3-6-33300002-22+2i32−2i300−2−2i3−2+2i3-1−1−i3−1+i311+i31−i300000000000000000000000066-3-6-33300002-22+2i32−2i300−2−2i3−2+2i3-1−1−i3−1+i311+i31−i3000000000000000000000000
χ4666-3-6-33300002-22−2i32+2i300−2+2i3−2−2i3-1−1+i3−1−i311−i31+i300000000000000000000000066-3-6-33300002-22−2i32+2i300−2+2i3−2−2i3-1−1+i3−1−i311−i31+i3000000000000000000000000
χ4766-3-6-3330000-66000000300-30000000000000000000000000066-3-6-3330000-66000000300-300000000000000000000000000
χ4812-12-60663−6300000000000000000000000000000000000000000012-12-60663−63000000000000000000000000000000000000000000
χ4912-12-606−636300000000000000000000000000000000000000000012-12-606−6363000000000000000000000000000000000000000000
χ501111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ511111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ521111111−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1-11+i321−i321+i321−i32-1-11+i321−i321+i321−i321+i321−i32-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i32-1-11+i321+i321−i321−i32-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i32
χ531111111−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i32-1-1-1-1-1-1-11+i321−i321+i321−i32-1-11+i321−i321+i321−i321+i321−i32-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i32-1-11+i321+i321−i321−i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ541111111−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1-11−i321+i321−i321+i32-1-11−i321+i321−i321+i321−i321+i32-11−i321+i32-11−i321+i32-11−i321+i32-11−i321+i32-1-11−i321−i321+i321+i32-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i32
χ551111111−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i32-1-1-1-1-1-1-11−i321+i321−i321+i32-1-11−i321+i321−i321+i321−i321+i32-11−i321+i32-11−i321+i32-11−i321+i32-11−i321+i32-1-11−i321−i321+i321+i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ56111-11-1-11111-11-1-1-1-111-1-1-1111111111-1-1-1-1-1-11-11-11-11-11-11-1-1-1-11-111-1-1-1-11-11111-1-1111-1-1-1-1-1-1-1-1-1111111-11-11-11-11-11-11
χ57111-11-1-11111-11-1-1-1-111-1-1-1111111111-1-1-1-1-1-1-11-11-11-11-11-11-1-1-11-111-1-1-1-11-11111-1-1111-1-1-1-1-1-1-1-1-11111111-11-11-11-11-11-1
χ58111-11-1-1−1−i32−1+i32−1−i32−1+i32-111+i321−i321+i321−i32−1−i32−1+i32-11+i321−i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i321-11-1−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32-1-1-11-1111+i321−i321+i321−i321-1−1−i32−1+i32−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32-11+i321−i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i32-11-111+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i32
χ59111-11-1-1−1−i32−1+i32−1−i32−1+i32-111+i321−i321+i321−i32−1−i32−1+i32-11+i321−i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-11-111+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i32-1-1-11-1111+i321−i321+i321−i321-1−1−i32−1+i32−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32-11+i321−i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i321-11-1−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32
χ60111-11-1-1−1+i32−1−i32−1+i32−1−i32-111−i321+i321−i321+i32−1+i32−1−i32-11−i321+i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i321-11-1−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32-1-1-11-1111−i321+i321−i321+i321-1−1+i32−1−i32−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32-11−i321+i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i32-11-111−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i32
χ61111-11-1-1−1+i32−1−i32−1+i32−1−i32-111−i321+i321−i321+i32−1+i32−1−i32-11−i321+i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32-11-111−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i32-1-1-11-1111−i321+i321−i321+i321-1−1+i32−1−i32−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32-11−i321+i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i321-11-1−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32
χ622222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111111111000000000000
χ632222222−1−i3−1+i3−1−i3−1+i322−1−i3−1+i3−1−i3−1+i3−1−i3−1+i32−1−i3−1+i32−1−i3−1+i3-11+i321−i32-11+i321−i32-1-11+i321+i321−i321−i32000000000000-2-2-2-2-2-2-21+i31−i31+i31−i3-2-21+i31−i31+i31−i31+i31−i3-21+i31−i3-21+i31−i31−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32000000000000
χ642222222−1+i3−1−i3−1+i3−1−i322−1+i3−1−i3−1+i3−1−i3−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3-11−i321+i32-11−i321+i32-1-11−i321−i321+i321+i32000000000000-2-2-2-2-2-2-21−i31+i31−i31+i3-2-21−i31+i31−i31+i31−i31+i3-21−i31+i3-21−i31+i31−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32000000000000
χ65222-22-2-22222-22-2-2-2-222-2-2-2222-1-1-1-1-1-1111111000000000000-2-2-22-222-2-2-2-22-22222-2-2222-2-2-2111111-1-1-1-1-1-1000000000000
χ66222-22-2-2−1−i3−1+i3−1−i3−1+i3-221+i31−i31+i31−i3−1−i3−1+i3-21+i31−i32−1−i3−1+i3-11+i321−i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i32000000000000-2-2-22-2221+i31−i31+i31−i32-2−1−i3−1+i3−1−i3−1+i31+i31−i32−1−i3−1+i3-21+i31−i31−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32000000000000
χ67222-22-2-2−1+i3−1−i3−1+i3−1−i3-221−i31+i31−i31+i3−1+i3−1−i3-21−i31+i32−1+i3−1−i3-11−i321+i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i32000000000000-2-2-22-2221−i31+i31−i31+i32-2−1+i3−1−i3−1+i3−1−i31−i31+i32−1+i3−1−i3-21−i31+i31−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32000000000000
χ6833333333333-1-1-1-133-1-1-1-1-1-1-1-100000000000011-1-11111-1-1-1-1-3-3-3-3-3-3-3-3-3-3-31111-3-311111111000000000000-1-111-1-1-1-11111
χ6933333333333-1-1-1-133-1-1-1-1-1-1-1-1000000000000-1-111-1-1-1-11111-3-3-3-3-3-3-3-3-3-3-31111-3-31111111100000000000011-1-11111-1-1-1-1
χ703333333−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321−i32−3−3i32−3+3i321+i321−i32-11+i321−i32-11+i321−i3200000000000011-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32-3-3-3-3-3-3-33+3i323−3i323+3i323−3i3211−1−i32−1+i323+3i323−3i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32000000000000-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32
χ713333333−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321−i32−3−3i32−3+3i321+i321−i32-11+i321−i32-11+i321−i32000000000000-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-3-3-3-3-3-3-33+3i323−3i323+3i323−3i3211−1−i32−1+i323+3i323−3i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3200000000000011-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32
χ723333333−3+3i32−3−3i32−3+3i32−3−3i32-1-11−i321+i32−3+3i32−3−3i321−i321+i32-11−i321+i32-11−i321+i3200000000000011-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32-3-3-3-3-3-3-33−3i323+3i323−3i323+3i3211−1+i32−1−i323−3i323+3i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32000000000000-1-1111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32
χ733333333−3+3i32−3−3i32−3+3i32−3−3i32-1-11−i321+i32−3+3i32−3−3i321−i321+i32-11−i321+i32-11−i321+i32000000000000-1-1111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-3-3-3-3-3-3-33−3i323+3i323−3i323+3i3211−1+i32−1−i323−3i323+3i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3200000000000011-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32
χ74333-33-3-333331-111-3-3-1-1111-1-1-10000000000001-1-111-11-1-11-11-3-3-33-333-3-3-3-3-11-1-13311-1-1-1111000000000000-111-1-11-111-11-1
χ75333-33-3-333331-111-3-3-1-1111-1-1-1000000000000-111-1-11-111-11-1-3-3-33-333-3-3-3-3-11-1-13311-1-1-11110000000000001-1-111-11-1-11-11
χ76333-33-3-3−3−3i32−3+3i32−3−3i32−3+3i321-1−1−i32−1+i323+3i323−3i321+i321−i321−1−i32−1+i32-11+i321−i320000000000001-1-11−1−i321+i32−1+i321−i321+i32−1−i321−i32−1+i32-3-3-33-3333+3i323−3i323+3i323−3i32-111+i321−i32−3−3i32−3+3i32−1−i32−1+i32-11+i321−i321−1−i32−1+i32000000000000-111-11+i32−1−i321−i32−1+i32−1−i321+i32−1+i321−i32
χ77333-33-3-3−3−3i32−3+3i32−3−3i32−3+3i321-1−1−i32−1+i323+3i323−3i321+i321−i321−1−i32−1+i32-11+i321−i32000000000000-111-11+i32−1−i321−i32−1+i32−1−i321+i32−1+i321−i32-3-3-33-3333+3i323−3i323+3i323−3i32-111+i321−i32−3−3i32−3+3i32−1−i32−1+i32-11+i321−i321−1−i32−1+i320000000000001-1-11−1−i321+i32−1+i321−i321+i32−1−i321−i32−1+i32
χ78333-33-3-3−3+3i32−3−3i32−3+3i32−3−3i321-1−1+i32−1−i323−3i323+3i321−i321+i321−1+i32−1−i32-11−i321+i320000000000001-1-11−1+i321−i32−1−i321+i321−i32−1+i321+i32−1−i32-3-3-33-3333−3i323+3i323−3i323+3i32-111−i321+i32−3+3i32−3−3i32−1+i32−1−i32-11−i321+i321−1+i32−1−i32000000000000-111-11−i32−1+i321+i32−1−i32−1+i321−i32−1−i321+i32
χ79333-33-3-3−3+3i32−3−3i32−3+3i32−3−3i321-1−1+i32−1−i323−3i323+3i321−i321+i321−1+i32−1−i32-11−i321+i32000000000000-111-11−i32−1+i321+i32−1−i32−1+i321−i32−1−i321+i32-3-3-33-3333−3i323+3i323−3i323+3i32-111−i321+i32−3+3i32−3−3i32−1+i32−1−i32-11−i321+i321−1+i32−1−i320000000000001-1-11−1+i321−i32−1−i321+i321−i32−1+i321+i32−1−i32
χ804-440-40044-4-400000000000000111-1-1-13−33−33−3000000000000-44-40400-4-44400000000000000-1-1-1111−33−33−33000000000000
χ814-440-40044-4-400000000000000111-1-1-1−33−33−33000000000000-44-40400-4-44400000000000000-1-1-11113−33−33−3000000000000
χ824-440-40044-4-400000000000000-2-2-2222000000000000000000-44-40400-4-44400000000000000222-2-2-2000000000000000000
χ834-440-400−2−2i3−2+2i32+2i32−2i3000000000000001−1−i32−1+i32-11+i321−i323−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11000000000000-44-404002+2i32−2i3−2−2i3−2+2i300000000000000-11+i321−i321−1−i32−1+i32−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11000000000000
χ844-440-400−2−2i3−2+2i32+2i32−2i3000000000000001−1−i32−1+i32-11+i321−i32−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11000000000000-44-404002+2i32−2i3−2−2i3−2+2i300000000000000-11+i321−i321−1−i32−1+i323−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11000000000000
χ854-440-400−2−2i3−2+2i32+2i32−2i300000000000000-21+i31−i32−1−i3−1+i3000000000000000000-44-404002+2i32−2i3−2−2i3−2+2i3000000000000002−1−i3−1+i3-21+i31−i3000000000000000000
χ864-440-400−2+2i3−2−2i32−2i32+2i3000000000000001−1+i32−1−i32-11−i321+i323−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11000000000000-44-404002−2i32+2i3−2+2i3−2−2i300000000000000-11−i321+i321−1+i32−1−i32−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11000000000000
χ874-440-400−2+2i3−2−2i32−2i32+2i3000000000000001−1+i32−1−i32-11−i321+i32−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11000000000000-44-404002−2i32+2i3−2+2i3−2−2i300000000000000-11−i321+i321−1+i32−1−i323−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11000000000000
χ884-440-400−2+2i3−2−2i32−2i32+2i300000000000000-21−i31+i32−1+i3−1−i3000000000000000000-44-404002−2i32+2i3−2+2i3−2−2i3000000000000002−1+i3−1−i3-21−i31+i3000000000000000000
χ8966-36-3-3-3000066000000-300-300000000000000000000000000-6-63-63330000-6-6000000300300000000000000000000000000
χ9066-36-3-3-30000-2-24400441-2-21-2-2000000000000000000000000-6-63-6333000022-4-400-4-4-122-122000000000000000000000000
χ9166-36-3-3-30000-2-2−2−2i3−2+2i300−2−2i3−2+2i311+i31−i311+i31−i3000000000000000000000000-6-63-63330000222+2i32−2i3002+2i32−2i3-1−1−i3−1+i3-1−1−i3−1+i3000000000000000000000000
χ9266-36-3-3-30000-2-2−2+2i3−2−2i300−2+2i3−2−2i311−i31+i311−i31+i3000000000000000000000000-6-63-63330000222−2i32+2i3002−2i32+2i3-1−1+i3−1−i3-1−1+i3−1−i3000000000000000000000000
χ9366-3-6-33300002-2-4-40044-1221-2-2000000000000000000000000-6-6363-3-30000-224400-4-41-2-2-122000000000000000000000000
χ9466-3-6-33300002-22+2i32−2i300−2−2i3−2+2i3-1−1−i3−1+i311+i31−i3000000000000000000000000-6-6363-3-30000-22−2−2i3−2+2i3002+2i32−2i311+i31−i3-1−1−i3−1+i3000000000000000000000000
χ9566-3-6-33300002-22−2i32+2i300−2+2i3−2−2i3-1−1+i3−1−i311−i31+i3000000000000000000000000-6-6363-3-30000-22−2+2i3−2−2i3002−2i32+2i311−i31+i3-1−1+i3−1−i3000000000000000000000000
χ9666-3-6-3330000-66000000300-300000000000000000000000000-6-6363-3-300006-6000000-300300000000000000000000000000
χ9712-12-60663−63000000000000000000000000000000000000000000-121260-6−6363000000000000000000000000000000000000000000
χ9812-12-606−6363000000000000000000000000000000000000000000-121260-663−63000000000000000000000000000000000000000000

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