Finite Group Databasebeta

← Group #13049311

Character table — Group #13049311

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111222999121212121212181818272727272727111222999121212121212181818272727272727111222999121212121212181818272727272727111222999121212121212181818272727272727
order1333332663333336664412121212266666266666666666441212121226666626666666666644121212122666662666666666664412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1
χ3111111-1-1-1111111-1-1-1i−iii−i−i111111-1-1-1111111-1-1-1i−iii−i−i111111-1-1-1111111-1-1-1i−iii−i−i111111-1-1-1111111-1-1-1i−iii−i−i
χ4111111-1-1-1111111-1-1-1−ii−i−iii111111-1-1-1111111-1-1-1−ii−i−iii111111-1-1-1111111-1-1-1−ii−i−iii111111-1-1-1111111-1-1-1−ii−i−iii
χ5222-1-1-122222-1-1-1-1-1-1-1000000222-1-1-122222-1-1-1-1-1-1-1000000222-1-1-122222-1-1-1-1-1-1-1000000222-1-1-122222-1-1-1-1-1-1-1000000
χ6222-1-1-1-2-2-222-1-1-1-1111000000222-1-1-1-2-2-222-1-1-1-1111000000222-1-1-1-2-2-222-1-1-1-1111000000222-1-1-1-2-2-222-1-1-1-1111000000
χ73−3−3i32−3+3i323−3−3i32−3+3i321−1−i32−1+i320000001−1−i32−1+i32i−iζ7ζ11−ζ7−ζ113−3−3i32−3+3i323−3−3i32−3+3i321−1−i32−1+i320000001−1−i32−1+i32i−iζ7ζ11−ζ7−ζ113−3−3i32−3+3i323−3−3i32−3+3i321−1−i32−1+i320000001−1−i32−1+i32i−iζ7ζ11−ζ7−ζ113−3−3i32−3+3i323−3−3i32−3+3i321−1−i32−1+i320000001−1−i32−1+i32i−iζ7ζ11−ζ7−ζ11
χ83−3−3i32−3+3i323−3−3i32−3+3i321−1−i32−1+i320000001−1−i32−1+i32−ii−ζ7−ζ11ζ7ζ113−3−3i32−3+3i323−3−3i32−3+3i321−1−i32−1+i320000001−1−i32−1+i32−ii−ζ7−ζ11ζ7ζ113−3−3i32−3+3i323−3−3i32−3+3i321−1−i32−1+i320000001−1−i32−1+i32−ii−ζ7−ζ11ζ7ζ113−3−3i32−3+3i323−3−3i32−3+3i321−1−i32−1+i320000001−1−i32−1+i32−ii−ζ7−ζ11ζ7ζ11
χ93−3−3i32−3+3i323−3−3i32−3+3i32-11+i321−i32000000-11+i321−i3211−1+i32−1−i32−1+i32−1−i323−3−3i32−3+3i323−3−3i32−3+3i32-11+i321−i32000000-11+i321−i3211−1+i32−1−i32−1+i32−1−i323−3−3i32−3+3i323−3−3i32−3+3i32-11+i321−i32000000-11+i321−i3211−1+i32−1−i32−1+i32−1−i323−3−3i32−3+3i323−3−3i32−3+3i32-11+i321−i32000000-11+i321−i3211−1+i32−1−i32−1+i32−1−i32
χ103−3−3i32−3+3i323−3−3i32−3+3i32-11+i321−i32000000-11+i321−i32-1-11−i321+i321−i321+i323−3−3i32−3+3i323−3−3i32−3+3i32-11+i321−i32000000-11+i321−i32-1-11−i321+i321−i321+i323−3−3i32−3+3i323−3−3i32−3+3i32-11+i321−i32000000-11+i321−i32-1-11−i321+i321−i321+i323−3−3i32−3+3i323−3−3i32−3+3i32-11+i321−i32000000-11+i321−i32-1-11−i321+i321−i321+i32
χ113−3+3i32−3−3i323−3+3i32−3−3i321−1+i32−1−i320000001−1+i32−1−i32i−iζ11ζ7−ζ11−ζ73−3+3i32−3−3i323−3+3i32−3−3i321−1+i32−1−i320000001−1+i32−1−i32i−iζ11ζ7−ζ11−ζ73−3+3i32−3−3i323−3+3i32−3−3i321−1+i32−1−i320000001−1+i32−1−i32i−iζ11ζ7−ζ11−ζ73−3+3i32−3−3i323−3+3i32−3−3i321−1+i32−1−i320000001−1+i32−1−i32i−iζ11ζ7−ζ11−ζ7
χ123−3+3i32−3−3i323−3+3i32−3−3i321−1+i32−1−i320000001−1+i32−1−i32−ii−ζ11−ζ7ζ11ζ73−3+3i32−3−3i323−3+3i32−3−3i321−1+i32−1−i320000001−1+i32−1−i32−ii−ζ11−ζ7ζ11ζ73−3+3i32−3−3i323−3+3i32−3−3i321−1+i32−1−i320000001−1+i32−1−i32−ii−ζ11−ζ7ζ11ζ73−3+3i32−3−3i323−3+3i32−3−3i321−1+i32−1−i320000001−1+i32−1−i32−ii−ζ11−ζ7ζ11ζ7
χ133−3+3i32−3−3i323−3+3i32−3−3i32-11−i321+i32000000-11−i321+i3211−1−i32−1+i32−1−i32−1+i323−3+3i32−3−3i323−3+3i32−3−3i32-11−i321+i32000000-11−i321+i3211−1−i32−1+i32−1−i32−1+i323−3+3i32−3−3i323−3+3i32−3−3i32-11−i321+i32000000-11−i321+i3211−1−i32−1+i32−1−i32−1+i323−3+3i32−3−3i323−3+3i32−3−3i32-11−i321+i32000000-11−i321+i3211−1−i32−1+i32−1−i32−1+i32
χ143−3+3i32−3−3i323−3+3i32−3−3i32-11−i321+i32000000-11−i321+i32-1-11+i321−i321+i321−i323−3+3i32−3−3i323−3+3i32−3−3i32-11−i321+i32000000-11−i321+i32-1-11+i321−i321+i321−i323−3+3i32−3−3i323−3+3i32−3−3i32-11−i321+i32000000-11−i321+i32-1-11+i321−i321+i321−i323−3+3i32−3−3i323−3+3i32−3−3i32-11−i321+i32000000-11−i321+i32-1-11+i321−i321+i321−i32
χ154444440001-211-2-20000000004444440001-211-2-20000000004444440001-211-2-20000000004444440001-211-2-2000000000
χ16444444000-21-2-211000000000444444000-21-2-211000000000444444000-21-2-211000000000444444000-21-2-211000000000
χ17444-2-2-20001-2−1−3i32−1+3i3211000000000444-2-2-20001-2−1−3i32−1+3i3211000000000444-2-2-20001-2−1−3i32−1+3i3211000000000444-2-2-20001-2−1−3i32−1+3i3211000000000
χ18444-2-2-20001-2−1+3i32−1−3i3211000000000444-2-2-20001-2−1+3i32−1−3i3211000000000444-2-2-20001-2−1+3i32−1−3i3211000000000444-2-2-20001-2−1+3i32−1−3i3211000000000
χ19444-2-2-2000-2111−1−3i32−1+3i32000000000444-2-2-2000-2111−1−3i32−1+3i32000000000444-2-2-2000-2111−1−3i32−1+3i32000000000444-2-2-2000-2111−1−3i32−1+3i32000000000
χ20444-2-2-2000-2111−1+3i32−1−3i32000000000444-2-2-2000-2111−1+3i32−1−3i32000000000444-2-2-2000-2111−1+3i32−1−3i32000000000444-2-2-2000-2111−1+3i32−1−3i32000000000
χ216−3−3i3−3+3i3-33+3i323−3i322−1−i3−1+i3000000-11+i321−i320000006−3−3i3−3+3i3-33+3i323−3i322−1−i3−1+i3000000-11+i321−i320000006−3−3i3−3+3i3-33+3i323−3i322−1−i3−1+i3000000-11+i321−i320000006−3−3i3−3+3i3-33+3i323−3i322−1−i3−1+i3000000-11+i321−i32000000
χ226−3−3i3−3+3i3-33+3i323−3i32-21+i31−i30000001−1−i32−1+i320000006−3−3i3−3+3i3-33+3i323−3i32-21+i31−i30000001−1−i32−1+i320000006−3−3i3−3+3i3-33+3i323−3i32-21+i31−i30000001−1−i32−1+i320000006−3−3i3−3+3i3-33+3i323−3i32-21+i31−i30000001−1−i32−1+i32000000
χ236−3+3i3−3−3i3-33−3i323+3i322−1+i3−1−i3000000-11−i321+i320000006−3+3i3−3−3i3-33−3i323+3i322−1+i3−1−i3000000-11−i321+i320000006−3+3i3−3−3i3-33−3i323+3i322−1+i3−1−i3000000-11−i321+i320000006−3+3i3−3−3i3-33−3i323+3i322−1+i3−1−i3000000-11−i321+i32000000
χ246−3+3i3−3−3i3-33−3i323+3i32-21−i31+i30000001−1+i32−1−i320000006−3+3i3−3−3i3-33−3i323+3i32-21−i31+i30000001−1+i32−1−i320000006−3+3i3−3−3i3-33−3i323+3i32-21−i31+i30000001−1+i32−1−i320000006−3+3i3−3−3i3-33−3i323+3i32-21−i31+i30000001−1+i32−1−i32000000
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
χ26111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ27111111-1-1-1111111-1-1-1i−iii−i−i-1-1-1-1-1-1111-1-1-1-1-1-1111−ii−i−iii111111-1-1-1111111-1-1-1i−iii−i−i-1-1-1-1-1-1111-1-1-1-1-1-1111−ii−i−iii
χ28111111-1-1-1111111-1-1-1−ii−i−iii-1-1-1-1-1-1111-1-1-1-1-1-1111i−iii−i−i111111-1-1-1111111-1-1-1−ii−i−iii-1-1-1-1-1-1111-1-1-1-1-1-1111i−iii−i−i
χ29222-1-1-122222-1-1-1-1-1-1-1000000-2-2-2111-2-2-2-2-21111111000000222-1-1-122222-1-1-1-1-1-1-1000000-2-2-2111-2-2-2-2-21111111000000
χ30222-1-1-1-2-2-222-1-1-1-1111000000-2-2-2111222-2-21111-1-1-1000000222-1-1-1-2-2-222-1-1-1-1111000000-2-2-2111222-2-21111-1-1-1000000
χ313−3−3i32−3+3i323−3−3i32−3+3i321−1−i32−1+i320000001−1−i32−1+i32i−iζ7ζ11−ζ7−ζ11-33+3i323−3i32-33+3i323−3i32-11+i321−i32000000-11+i321−i32−ii−ζ7−ζ11ζ7ζ113−3−3i32−3+3i323−3−3i32−3+3i321−1−i32−1+i320000001−1−i32−1+i32i−iζ7ζ11−ζ7−ζ11-33+3i323−3i32-33+3i323−3i32-11+i321−i32000000-11+i321−i32−ii−ζ7−ζ11ζ7ζ11
χ323−3−3i32−3+3i323−3−3i32−3+3i321−1−i32−1+i320000001−1−i32−1+i32−ii−ζ7−ζ11ζ7ζ11-33+3i323−3i32-33+3i323−3i32-11+i321−i32000000-11+i321−i32i−iζ7ζ11−ζ7−ζ113−3−3i32−3+3i323−3−3i32−3+3i321−1−i32−1+i320000001−1−i32−1+i32−ii−ζ7−ζ11ζ7ζ11-33+3i323−3i32-33+3i323−3i32-11+i321−i32000000-11+i321−i32i−iζ7ζ11−ζ7−ζ11
χ333−3−3i32−3+3i323−3−3i32−3+3i32-11+i321−i32000000-11+i321−i3211−1+i32−1−i32−1+i32−1−i32-33+3i323−3i32-33+3i323−3i321−1−i32−1+i320000001−1−i32−1+i32-1-11−i321+i321−i321+i323−3−3i32−3+3i323−3−3i32−3+3i32-11+i321−i32000000-11+i321−i3211−1+i32−1−i32−1+i32−1−i32-33+3i323−3i32-33+3i323−3i321−1−i32−1+i320000001−1−i32−1+i32-1-11−i321+i321−i321+i32
χ343−3−3i32−3+3i323−3−3i32−3+3i32-11+i321−i32000000-11+i321−i32-1-11−i321+i321−i321+i32-33+3i323−3i32-33+3i323−3i321−1−i32−1+i320000001−1−i32−1+i3211−1+i32−1−i32−1+i32−1−i323−3−3i32−3+3i323−3−3i32−3+3i32-11+i321−i32000000-11+i321−i32-1-11−i321+i321−i321+i32-33+3i323−3i32-33+3i323−3i321−1−i32−1+i320000001−1−i32−1+i3211−1+i32−1−i32−1+i32−1−i32
χ353−3+3i32−3−3i323−3+3i32−3−3i321−1+i32−1−i320000001−1+i32−1−i32i−iζ11ζ7−ζ11−ζ7-33−3i323+3i32-33−3i323+3i32-11−i321+i32000000-11−i321+i32−ii−ζ11−ζ7ζ11ζ73−3+3i32−3−3i323−3+3i32−3−3i321−1+i32−1−i320000001−1+i32−1−i32i−iζ11ζ7−ζ11−ζ7-33−3i323+3i32-33−3i323+3i32-11−i321+i32000000-11−i321+i32−ii−ζ11−ζ7ζ11ζ7
χ363−3+3i32−3−3i323−3+3i32−3−3i321−1+i32−1−i320000001−1+i32−1−i32−ii−ζ11−ζ7ζ11ζ7-33−3i323+3i32-33−3i323+3i32-11−i321+i32000000-11−i321+i32i−iζ11ζ7−ζ11−ζ73−3+3i32−3−3i323−3+3i32−3−3i321−1+i32−1−i320000001−1+i32−1−i32−ii−ζ11−ζ7ζ11ζ7-33−3i323+3i32-33−3i323+3i32-11−i321+i32000000-11−i321+i32i−iζ11ζ7−ζ11−ζ7
χ373−3+3i32−3−3i323−3+3i32−3−3i32-11−i321+i32000000-11−i321+i3211−1−i32−1+i32−1−i32−1+i32-33−3i323+3i32-33−3i323+3i321−1+i32−1−i320000001−1+i32−1−i32-1-11+i321−i321+i321−i323−3+3i32−3−3i323−3+3i32−3−3i32-11−i321+i32000000-11−i321+i3211−1−i32−1+i32−1−i32−1+i32-33−3i323+3i32-33−3i323+3i321−1+i32−1−i320000001−1+i32−1−i32-1-11+i321−i321+i321−i32
χ383−3+3i32−3−3i323−3+3i32−3−3i32-11−i321+i32000000-11−i321+i32-1-11+i321−i321+i321−i32-33−3i323+3i32-33−3i323+3i321−1+i32−1−i320000001−1+i32−1−i3211−1−i32−1+i32−1−i32−1+i323−3+3i32−3−3i323−3+3i32−3−3i32-11−i321+i32000000-11−i321+i32-1-11+i321−i321+i321−i32-33−3i323+3i32-33−3i323+3i321−1+i32−1−i320000001−1+i32−1−i3211−1−i32−1+i32−1−i32−1+i32
χ394444440001-211-2-2000000000-4-4-4-4-4-4000-12-1-1220000000004444440001-211-2-2000000000-4-4-4-4-4-4000-12-1-122000000000
χ40444444000-21-2-211000000000-4-4-4-4-4-40002-122-1-1000000000444444000-21-2-211000000000-4-4-4-4-4-40002-122-1-1000000000
χ41444-2-2-20001-2−1−3i32−1+3i3211000000000-4-4-4222000-121+3i321−3i32-1-1000000000444-2-2-20001-2−1−3i32−1+3i3211000000000-4-4-4222000-121+3i321−3i32-1-1000000000
χ42444-2-2-20001-2−1+3i32−1−3i3211000000000-4-4-4222000-121−3i321+3i32-1-1000000000444-2-2-20001-2−1+3i32−1−3i3211000000000-4-4-4222000-121−3i321+3i32-1-1000000000
χ43444-2-2-2000-2111−1−3i32−1+3i32000000000-4-4-42220002-1-1-11+3i321−3i32000000000444-2-2-2000-2111−1−3i32−1+3i32000000000-4-4-42220002-1-1-11+3i321−3i32000000000
χ44444-2-2-2000-2111−1+3i32−1−3i32000000000-4-4-42220002-1-1-11−3i321+3i32000000000444-2-2-2000-2111−1+3i32−1−3i32000000000-4-4-42220002-1-1-11−3i321+3i32000000000
χ456−3−3i3−3+3i3-33+3i323−3i322−1−i3−1+i3000000-11+i321−i32000000-63+3i33−3i33−3−3i32−3+3i32-21+i31−i30000001−1−i32−1+i320000006−3−3i3−3+3i3-33+3i323−3i322−1−i3−1+i3000000-11+i321−i32000000-63+3i33−3i33−3−3i32−3+3i32-21+i31−i30000001−1−i32−1+i32000000
χ466−3−3i3−3+3i3-33+3i323−3i32-21+i31−i30000001−1−i32−1+i32000000-63+3i33−3i33−3−3i32−3+3i322−1−i3−1+i3000000-11+i321−i320000006−3−3i3−3+3i3-33+3i323−3i32-21+i31−i30000001−1−i32−1+i32000000-63+3i33−3i33−3−3i32−3+3i322−1−i3−1+i3000000-11+i321−i32000000
χ476−3+3i3−3−3i3-33−3i323+3i322−1+i3−1−i3000000-11−i321+i32000000-63−3i33+3i33−3+3i32−3−3i32-21−i31+i30000001−1+i32−1−i320000006−3+3i3−3−3i3-33−3i323+3i322−1+i3−1−i3000000-11−i321+i32000000-63−3i33+3i33−3+3i32−3−3i32-21−i31+i30000001−1+i32−1−i32000000
χ486−3+3i3−3−3i3-33−3i323+3i32-21−i31+i30000001−1+i32−1−i32000000-63−3i33+3i33−3+3i32−3−3i322−1+i3−1−i3000000-11−i321+i320000006−3+3i3−3−3i3-33−3i323+3i32-21−i31+i30000001−1+i32−1−i32000000-63−3i33+3i33−3+3i32−3−3i322−1+i3−1−i3000000-11−i321+i32000000
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
χ50111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111-1-1-1111111-1-1-1i−iii−i−i111111-1-1-1111111-1-1-1i−iii−i−i-1-1-1-1-1-1111-1-1-1-1-1-1111−ii−i−iii-1-1-1-1-1-1111-1-1-1-1-1-1111−ii−i−iii
χ52111111-1-1-1111111-1-1-1−ii−i−iii111111-1-1-1111111-1-1-1−ii−i−iii-1-1-1-1-1-1111-1-1-1-1-1-1111i−iii−i−i-1-1-1-1-1-1111-1-1-1-1-1-1111i−iii−i−i
χ53222-1-1-122222-1-1-1-1-1-1-1000000222-1-1-122222-1-1-1-1-1-1-1000000-2-2-2111-2-2-2-2-21111111000000-2-2-2111-2-2-2-2-21111111000000
χ54222-1-1-1-2-2-222-1-1-1-1111000000222-1-1-1-2-2-222-1-1-1-1111000000-2-2-2111222-2-21111-1-1-1000000-2-2-2111222-2-21111-1-1-1000000
χ553−3−3i32−3+3i323−3−3i32−3+3i321−1−i32−1+i320000001−1−i32−1+i32i−iζ7ζ11−ζ7−ζ113−3−3i32−3+3i323−3−3i32−3+3i321−1−i32−1+i320000001−1−i32−1+i32i−iζ7ζ11−ζ7−ζ11-33+3i323−3i32-33+3i323−3i32-11+i321−i32000000-11+i321−i32−ii−ζ7−ζ11ζ7ζ11-33+3i323−3i32-33+3i323−3i32-11+i321−i32000000-11+i321−i32−ii−ζ7−ζ11ζ7ζ11
χ563−3−3i32−3+3i323−3−3i32−3+3i321−1−i32−1+i320000001−1−i32−1+i32−ii−ζ7−ζ11ζ7ζ113−3−3i32−3+3i323−3−3i32−3+3i321−1−i32−1+i320000001−1−i32−1+i32−ii−ζ7−ζ11ζ7ζ11-33+3i323−3i32-33+3i323−3i32-11+i321−i32000000-11+i321−i32i−iζ7ζ11−ζ7−ζ11-33+3i323−3i32-33+3i323−3i32-11+i321−i32000000-11+i321−i32i−iζ7ζ11−ζ7−ζ11
χ573−3−3i32−3+3i323−3−3i32−3+3i32-11+i321−i32000000-11+i321−i3211−1+i32−1−i32−1+i32−1−i323−3−3i32−3+3i323−3−3i32−3+3i32-11+i321−i32000000-11+i321−i3211−1+i32−1−i32−1+i32−1−i32-33+3i323−3i32-33+3i323−3i321−1−i32−1+i320000001−1−i32−1+i32-1-11−i321+i321−i321+i32-33+3i323−3i32-33+3i323−3i321−1−i32−1+i320000001−1−i32−1+i32-1-11−i321+i321−i321+i32
χ583−3−3i32−3+3i323−3−3i32−3+3i32-11+i321−i32000000-11+i321−i32-1-11−i321+i321−i321+i323−3−3i32−3+3i323−3−3i32−3+3i32-11+i321−i32000000-11+i321−i32-1-11−i321+i321−i321+i32-33+3i323−3i32-33+3i323−3i321−1−i32−1+i320000001−1−i32−1+i3211−1+i32−1−i32−1+i32−1−i32-33+3i323−3i32-33+3i323−3i321−1−i32−1+i320000001−1−i32−1+i3211−1+i32−1−i32−1+i32−1−i32
χ593−3+3i32−3−3i323−3+3i32−3−3i321−1+i32−1−i320000001−1+i32−1−i32i−iζ11ζ7−ζ11−ζ73−3+3i32−3−3i323−3+3i32−3−3i321−1+i32−1−i320000001−1+i32−1−i32i−iζ11ζ7−ζ11−ζ7-33−3i323+3i32-33−3i323+3i32-11−i321+i32000000-11−i321+i32−ii−ζ11−ζ7ζ11ζ7-33−3i323+3i32-33−3i323+3i32-11−i321+i32000000-11−i321+i32−ii−ζ11−ζ7ζ11ζ7
χ603−3+3i32−3−3i323−3+3i32−3−3i321−1+i32−1−i320000001−1+i32−1−i32−ii−ζ11−ζ7ζ11ζ73−3+3i32−3−3i323−3+3i32−3−3i321−1+i32−1−i320000001−1+i32−1−i32−ii−ζ11−ζ7ζ11ζ7-33−3i323+3i32-33−3i323+3i32-11−i321+i32000000-11−i321+i32i−iζ11ζ7−ζ11−ζ7-33−3i323+3i32-33−3i323+3i32-11−i321+i32000000-11−i321+i32i−iζ11ζ7−ζ11−ζ7
χ613−3+3i32−3−3i323−3+3i32−3−3i32-11−i321+i32000000-11−i321+i3211−1−i32−1+i32−1−i32−1+i323−3+3i32−3−3i323−3+3i32−3−3i32-11−i321+i32000000-11−i321+i3211−1−i32−1+i32−1−i32−1+i32-33−3i323+3i32-33−3i323+3i321−1+i32−1−i320000001−1+i32−1−i32-1-11+i321−i321+i321−i32-33−3i323+3i32-33−3i323+3i321−1+i32−1−i320000001−1+i32−1−i32-1-11+i321−i321+i321−i32
χ623−3+3i32−3−3i323−3+3i32−3−3i32-11−i321+i32000000-11−i321+i32-1-11+i321−i321+i321−i323−3+3i32−3−3i323−3+3i32−3−3i32-11−i321+i32000000-11−i321+i32-1-11+i321−i321+i321−i32-33−3i323+3i32-33−3i323+3i321−1+i32−1−i320000001−1+i32−1−i3211−1−i32−1+i32−1−i32−1+i32-33−3i323+3i32-33−3i323+3i321−1+i32−1−i320000001−1+i32−1−i3211−1−i32−1+i32−1−i32−1+i32
χ634444440001-211-2-20000000004444440001-211-2-2000000000-4-4-4-4-4-4000-12-1-122000000000-4-4-4-4-4-4000-12-1-122000000000
χ64444444000-21-2-211000000000444444000-21-2-211000000000-4-4-4-4-4-40002-122-1-1000000000-4-4-4-4-4-40002-122-1-1000000000
χ65444-2-2-20001-2−1−3i32−1+3i3211000000000444-2-2-20001-2−1−3i32−1+3i3211000000000-4-4-4222000-121+3i321−3i32-1-1000000000-4-4-4222000-121+3i321−3i32-1-1000000000
χ66444-2-2-20001-2−1+3i32−1−3i3211000000000444-2-2-20001-2−1+3i32−1−3i3211000000000-4-4-4222000-121−3i321+3i32-1-1000000000-4-4-4222000-121−3i321+3i32-1-1000000000
χ67444-2-2-2000-2111−1−3i32−1+3i32000000000444-2-2-2000-2111−1−3i32−1+3i32000000000-4-4-42220002-1-1-11+3i321−3i32000000000-4-4-42220002-1-1-11+3i321−3i32000000000
χ68444-2-2-2000-2111−1+3i32−1−3i32000000000444-2-2-2000-2111−1+3i32−1−3i32000000000-4-4-42220002-1-1-11−3i321+3i32000000000-4-4-42220002-1-1-11−3i321+3i32000000000
χ696−3−3i3−3+3i3-33+3i323−3i322−1−i3−1+i3000000-11+i321−i320000006−3−3i3−3+3i3-33+3i323−3i322−1−i3−1+i3000000-11+i321−i32000000-63+3i33−3i33−3−3i32−3+3i32-21+i31−i30000001−1−i32−1+i32000000-63+3i33−3i33−3−3i32−3+3i32-21+i31−i30000001−1−i32−1+i32000000
χ706−3−3i3−3+3i3-33+3i323−3i32-21+i31−i30000001−1−i32−1+i320000006−3−3i3−3+3i3-33+3i323−3i32-21+i31−i30000001−1−i32−1+i32000000-63+3i33−3i33−3−3i32−3+3i322−1−i3−1+i3000000-11+i321−i32000000-63+3i33−3i33−3−3i32−3+3i322−1−i3−1+i3000000-11+i321−i32000000
χ716−3+3i3−3−3i3-33−3i323+3i322−1+i3−1−i3000000-11−i321+i320000006−3+3i3−3−3i3-33−3i323+3i322−1+i3−1−i3000000-11−i321+i32000000-63−3i33+3i33−3+3i32−3−3i32-21−i31+i30000001−1+i32−1−i32000000-63−3i33+3i33−3+3i32−3−3i32-21−i31+i30000001−1+i32−1−i32000000
χ726−3+3i3−3−3i3-33−3i323+3i32-21−i31+i30000001−1+i32−1−i320000006−3+3i3−3−3i3-33−3i323+3i32-21−i31+i30000001−1+i32−1−i32000000-63−3i33+3i33−3+3i32−3−3i322−1+i3−1−i3000000-11−i321+i32000000-63−3i33+3i33−3+3i32−3−3i322−1+i3−1−i3000000-11−i321+i32000000
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
χ74111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1
χ75111111-1-1-1111111-1-1-1i−iii−i−i-1-1-1-1-1-1111-1-1-1-1-1-1111−ii−i−iii-1-1-1-1-1-1111-1-1-1-1-1-1111−ii−i−iii111111-1-1-1111111-1-1-1i−iii−i−i
χ76111111-1-1-1111111-1-1-1−ii−i−iii-1-1-1-1-1-1111-1-1-1-1-1-1111i−iii−i−i-1-1-1-1-1-1111-1-1-1-1-1-1111i−iii−i−i111111-1-1-1111111-1-1-1−ii−i−iii
χ77222-1-1-122222-1-1-1-1-1-1-1000000-2-2-2111-2-2-2-2-21111111000000-2-2-2111-2-2-2-2-21111111000000222-1-1-122222-1-1-1-1-1-1-1000000
χ78222-1-1-1-2-2-222-1-1-1-1111000000-2-2-2111222-2-21111-1-1-1000000-2-2-2111222-2-21111-1-1-1000000222-1-1-1-2-2-222-1-1-1-1111000000
χ793−3−3i32−3+3i323−3−3i32−3+3i321−1−i32−1+i320000001−1−i32−1+i32i−iζ7ζ11−ζ7−ζ11-33+3i323−3i32-33+3i323−3i32-11+i321−i32000000-11+i321−i32−ii−ζ7−ζ11ζ7ζ11-33+3i323−3i32-33+3i323−3i32-11+i321−i32000000-11+i321−i32−ii−ζ7−ζ11ζ7ζ113−3−3i32−3+3i323−3−3i32−3+3i321−1−i32−1+i320000001−1−i32−1+i32i−iζ7ζ11−ζ7−ζ11
χ803−3−3i32−3+3i323−3−3i32−3+3i321−1−i32−1+i320000001−1−i32−1+i32−ii−ζ7−ζ11ζ7ζ11-33+3i323−3i32-33+3i323−3i32-11+i321−i32000000-11+i321−i32i−iζ7ζ11−ζ7−ζ11-33+3i323−3i32-33+3i323−3i32-11+i321−i32000000-11+i321−i32i−iζ7ζ11−ζ7−ζ113−3−3i32−3+3i323−3−3i32−3+3i321−1−i32−1+i320000001−1−i32−1+i32−ii−ζ7−ζ11ζ7ζ11
χ813−3−3i32−3+3i323−3−3i32−3+3i32-11+i321−i32000000-11+i321−i3211−1+i32−1−i32−1+i32−1−i32-33+3i323−3i32-33+3i323−3i321−1−i32−1+i320000001−1−i32−1+i32-1-11−i321+i321−i321+i32-33+3i323−3i32-33+3i323−3i321−1−i32−1+i320000001−1−i32−1+i32-1-11−i321+i321−i321+i323−3−3i32−3+3i323−3−3i32−3+3i32-11+i321−i32000000-11+i321−i3211−1+i32−1−i32−1+i32−1−i32
χ823−3−3i32−3+3i323−3−3i32−3+3i32-11+i321−i32000000-11+i321−i32-1-11−i321+i321−i321+i32-33+3i323−3i32-33+3i323−3i321−1−i32−1+i320000001−1−i32−1+i3211−1+i32−1−i32−1+i32−1−i32-33+3i323−3i32-33+3i323−3i321−1−i32−1+i320000001−1−i32−1+i3211−1+i32−1−i32−1+i32−1−i323−3−3i32−3+3i323−3−3i32−3+3i32-11+i321−i32000000-11+i321−i32-1-11−i321+i321−i321+i32
χ833−3+3i32−3−3i323−3+3i32−3−3i321−1+i32−1−i320000001−1+i32−1−i32i−iζ11ζ7−ζ11−ζ7-33−3i323+3i32-33−3i323+3i32-11−i321+i32000000-11−i321+i32−ii−ζ11−ζ7ζ11ζ7-33−3i323+3i32-33−3i323+3i32-11−i321+i32000000-11−i321+i32−ii−ζ11−ζ7ζ11ζ73−3+3i32−3−3i323−3+3i32−3−3i321−1+i32−1−i320000001−1+i32−1−i32i−iζ11ζ7−ζ11−ζ7
χ843−3+3i32−3−3i323−3+3i32−3−3i321−1+i32−1−i320000001−1+i32−1−i32−ii−ζ11−ζ7ζ11ζ7-33−3i323+3i32-33−3i323+3i32-11−i321+i32000000-11−i321+i32i−iζ11ζ7−ζ11−ζ7-33−3i323+3i32-33−3i323+3i32-11−i321+i32000000-11−i321+i32i−iζ11ζ7−ζ11−ζ73−3+3i32−3−3i323−3+3i32−3−3i321−1+i32−1−i320000001−1+i32−1−i32−ii−ζ11−ζ7ζ11ζ7
χ853−3+3i32−3−3i323−3+3i32−3−3i32-11−i321+i32000000-11−i321+i3211−1−i32−1+i32−1−i32−1+i32-33−3i323+3i32-33−3i323+3i321−1+i32−1−i320000001−1+i32−1−i32-1-11+i321−i321+i321−i32-33−3i323+3i32-33−3i323+3i321−1+i32−1−i320000001−1+i32−1−i32-1-11+i321−i321+i321−i323−3+3i32−3−3i323−3+3i32−3−3i32-11−i321+i32000000-11−i321+i3211−1−i32−1+i32−1−i32−1+i32
χ863−3+3i32−3−3i323−3+3i32−3−3i32-11−i321+i32000000-11−i321+i32-1-11+i321−i321+i321−i32-33−3i323+3i32-33−3i323+3i321−1+i32−1−i320000001−1+i32−1−i3211−1−i32−1+i32−1−i32−1+i32-33−3i323+3i32-33−3i323+3i321−1+i32−1−i320000001−1+i32−1−i3211−1−i32−1+i32−1−i32−1+i323−3+3i32−3−3i323−3+3i32−3−3i32-11−i321+i32000000-11−i321+i32-1-11+i321−i321+i321−i32
χ874444440001-211-2-2000000000-4-4-4-4-4-4000-12-1-122000000000-4-4-4-4-4-4000-12-1-1220000000004444440001-211-2-2000000000
χ88444444000-21-2-211000000000-4-4-4-4-4-40002-122-1-1000000000-4-4-4-4-4-40002-122-1-1000000000444444000-21-2-211000000000
χ89444-2-2-20001-2−1−3i32−1+3i3211000000000-4-4-4222000-121+3i321−3i32-1-1000000000-4-4-4222000-121+3i321−3i32-1-1000000000444-2-2-20001-2−1−3i32−1+3i3211000000000
χ90444-2-2-20001-2−1+3i32−1−3i3211000000000-4-4-4222000-121−3i321+3i32-1-1000000000-4-4-4222000-121−3i321+3i32-1-1000000000444-2-2-20001-2−1+3i32−1−3i3211000000000
χ91444-2-2-2000-2111−1−3i32−1+3i32000000000-4-4-42220002-1-1-11+3i321−3i32000000000-4-4-42220002-1-1-11+3i321−3i32000000000444-2-2-2000-2111−1−3i32−1+3i32000000000
χ92444-2-2-2000-2111−1+3i32−1−3i32000000000-4-4-42220002-1-1-11−3i321+3i32000000000-4-4-42220002-1-1-11−3i321+3i32000000000444-2-2-2000-2111−1+3i32−1−3i32000000000
χ936−3−3i3−3+3i3-33+3i323−3i322−1−i3−1+i3000000-11+i321−i32000000-63+3i33−3i33−3−3i32−3+3i32-21+i31−i30000001−1−i32−1+i32000000-63+3i33−3i33−3−3i32−3+3i32-21+i31−i30000001−1−i32−1+i320000006−3−3i3−3+3i3-33+3i323−3i322−1−i3−1+i3000000-11+i321−i32000000
χ946−3−3i3−3+3i3-33+3i323−3i32-21+i31−i30000001−1−i32−1+i32000000-63+3i33−3i33−3−3i32−3+3i322−1−i3−1+i3000000-11+i321−i32000000-63+3i33−3i33−3−3i32−3+3i322−1−i3−1+i3000000-11+i321−i320000006−3−3i3−3+3i3-33+3i323−3i32-21+i31−i30000001−1−i32−1+i32000000
χ956−3+3i3−3−3i3-33−3i323+3i322−1+i3−1−i3000000-11−i321+i32000000-63−3i33+3i33−3+3i32−3−3i32-21−i31+i30000001−1+i32−1−i32000000-63−3i33+3i33−3+3i32−3−3i32-21−i31+i30000001−1+i32−1−i320000006−3+3i3−3−3i3-33−3i323+3i322−1+i3−1−i3000000-11−i321+i32000000
χ966−3+3i3−3−3i3-33−3i323+3i32-21−i31+i30000001−1+i32−1−i32000000-63−3i33+3i33−3+3i32−3−3i322−1+i3−1−i3000000-11−i321+i32000000-63−3i33+3i33−3+3i32−3−3i322−1+i3−1−i3000000-11−i321+i320000006−3+3i3−3−3i3-33−3i323+3i32-21−i31+i30000001−1+i32−1−i32000000

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