Finite Group Databasebeta

← Group #13048721

Character table — Group #13048721

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11166669991116666999222121212121818182221212121218181833318181818272727333181818182727271116666999111666699922212121212181818222121212121818183331818181827272733318181818272727
order13333332662666666266333333366666666666664121212121212412124121212121212412122666666266266666626666666666666666666666412121212121241212412121212121241212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-1
χ32222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-1000
χ4222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000
χ5222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000
χ6222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000
χ73−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i32
χ83−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i32
χ93−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i32
χ103−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i32
χ111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ121111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-11111111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111
χ132222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-1000-2-2-2-2111000-2-2-2-21110002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-1000-2-2-2-2111000-2-2-2-2111000
χ14222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000-2-2-21-211000-2-2-21-211000222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000-2-2-21-211000-2-2-21-211000
χ15222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000-2-2-211-21000-2-2-211-21000222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000-2-2-211-21000-2-2-211-21000
χ16222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000-2-2-2111-2000-2-2-2111-2000222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000-2-2-2111-2000-2-2-2111-2000
χ173−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i32-33−3i323+3i320000-11−i321+i32-33−3i323+3i320000-11−i321+i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i32-33−3i323+3i320000-11−i321+i32-33−3i323+3i320000-11−i321+i32
χ183−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i32-33−3i323+3i3200001−1+i32−1−i32-33−3i323+3i3200001−1+i32−1−i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i32-33−3i323+3i3200001−1+i32−1−i32-33−3i323+3i3200001−1+i32−1−i32
χ193−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i32-33+3i323−3i320000-11+i321−i32-33+3i323−3i320000-11+i321−i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i32-33+3i323−3i320000-11+i321−i32-33+3i323−3i320000-11+i321−i32
χ203−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i32-33+3i323−3i3200001−1−i32−1+i32-33+3i323−3i3200001−1−i32−1+i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i32-33+3i323−3i3200001−1−i32−1+i32-33+3i323−3i3200001−1−i32−1+i32
χ211111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1iiiiiiiiii−i−i−i−i−i−i−i−i−i−i1111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1iiiiiiiiii−i−i−i−i−i−i−i−i−i−i
χ221111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111iiiiiii−i−i−i−i−i−i−i−i−i−iiii1111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111iiiiiii−i−i−i−i−i−i−i−i−i−iiii
χ232222-1-1-1000-2-2-2-21110002222-1-1-1000-2-2-2-21110002i2i2i2i−i−i−i000−2i−2i−2i−2iiii0002222-1-1-1000-2-2-2-21110002222-1-1-1000-2-2-2-21110002i2i2i2i−i−i−i000−2i−2i−2i−2iiii000
χ24222-12-1-1000-2-2-21-211000222-12-1-1000-2-2-21-2110002i2i2i−i2i−i−i000−2i−2i−2ii−2iii000222-12-1-1000-2-2-21-211000222-12-1-1000-2-2-21-2110002i2i2i−i2i−i−i000−2i−2i−2ii−2iii000
χ25222-1-12-1000-2-2-211-21000222-1-12-1000-2-2-211-210002i2i2i−i−i2i−i000−2i−2i−2iii−2ii000222-1-12-1000-2-2-211-21000222-1-12-1000-2-2-211-210002i2i2i−i−i2i−i000−2i−2i−2iii−2ii000
χ26222-1-1-12000-2-2-2111-2000222-1-1-12000-2-2-2111-20002i2i2i−i−i−i2i000−2i−2i−2iiii−2i000222-1-1-12000-2-2-2111-2000222-1-1-12000-2-2-2111-20002i2i2i−i−i−i2i000−2i−2i−2iiii−2i000
χ273−3+3i32−3−3i3200001−1+i32−1−i32-33−3i323+3i320000-11−i321+i323−3+3i32−3−3i3200001−1+i32−1−i32-33−3i323+3i320000-11−i321+i323i3ζ73ζ110000iζ7ζ11−3i−3ζ7−3ζ110000−i−ζ7−ζ113−3+3i32−3−3i3200001−1+i32−1−i32-33−3i323+3i320000-11−i321+i323−3+3i32−3−3i3200001−1+i32−1−i32-33−3i323+3i320000-11−i321+i323i3ζ73ζ110000iζ7ζ11−3i−3ζ7−3ζ110000−i−ζ7−ζ11
χ283−3+3i32−3−3i320000-11−i321+i32-33−3i323+3i3200001−1+i32−1−i323−3+3i32−3−3i320000-11−i321+i32-33−3i323+3i3200001−1+i32−1−i323i3ζ73ζ110000−i−ζ7−ζ11−3i−3ζ7−3ζ110000iζ7ζ113−3+3i32−3−3i320000-11−i321+i32-33−3i323+3i3200001−1+i32−1−i323−3+3i32−3−3i320000-11−i321+i32-33−3i323+3i3200001−1+i32−1−i323i3ζ73ζ110000−i−ζ7−ζ11−3i−3ζ7−3ζ110000iζ7ζ11
χ293−3−3i32−3+3i3200001−1−i32−1+i32-33+3i323−3i320000-11+i321−i323−3−3i32−3+3i3200001−1−i32−1+i32-33+3i323−3i320000-11+i321−i323i3ζ113ζ70000iζ11ζ7−3i−3ζ11−3ζ70000−i−ζ11−ζ73−3−3i32−3+3i3200001−1−i32−1+i32-33+3i323−3i320000-11+i321−i323−3−3i32−3+3i3200001−1−i32−1+i32-33+3i323−3i320000-11+i321−i323i3ζ113ζ70000iζ11ζ7−3i−3ζ11−3ζ70000−i−ζ11−ζ7
χ303−3−3i32−3+3i320000-11+i321−i32-33+3i323−3i3200001−1−i32−1+i323−3−3i32−3+3i320000-11+i321−i32-33+3i323−3i3200001−1−i32−1+i323i3ζ113ζ70000−i−ζ11−ζ7−3i−3ζ11−3ζ70000iζ11ζ73−3−3i32−3+3i320000-11+i321−i32-33+3i323−3i3200001−1−i32−1+i323−3−3i32−3+3i320000-11+i321−i32-33+3i323−3i3200001−1−i32−1+i323i3ζ113ζ70000−i−ζ11−ζ7−3i−3ζ11−3ζ70000iζ11ζ7
χ311111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−iiiiiiiiiii1111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−iiiiiiiiiii
χ321111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111−i−i−i−i−i−i−iiiiiiiiiii−i−i−i1111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111−i−i−i−i−i−i−iiiiiiiiiii−i−i−i
χ332222-1-1-1000-2-2-2-21110002222-1-1-1000-2-2-2-2111000−2i−2i−2i−2iiii0002i2i2i2i−i−i−i0002222-1-1-1000-2-2-2-21110002222-1-1-1000-2-2-2-2111000−2i−2i−2i−2iiii0002i2i2i2i−i−i−i000
χ34222-12-1-1000-2-2-21-211000222-12-1-1000-2-2-21-211000−2i−2i−2ii−2iii0002i2i2i−i2i−i−i000222-12-1-1000-2-2-21-211000222-12-1-1000-2-2-21-211000−2i−2i−2ii−2iii0002i2i2i−i2i−i−i000
χ35222-1-12-1000-2-2-211-21000222-1-12-1000-2-2-211-21000−2i−2i−2iii−2ii0002i2i2i−i−i2i−i000222-1-12-1000-2-2-211-21000222-1-12-1000-2-2-211-21000−2i−2i−2iii−2ii0002i2i2i−i−i2i−i000
χ36222-1-1-12000-2-2-2111-2000222-1-1-12000-2-2-2111-2000−2i−2i−2iiii−2i0002i2i2i−i−i−i2i000222-1-1-12000-2-2-2111-2000222-1-1-12000-2-2-2111-2000−2i−2i−2iiii−2i0002i2i2i−i−i−i2i000
χ373−3+3i32−3−3i3200001−1+i32−1−i32-33−3i323+3i320000-11−i321+i323−3+3i32−3−3i3200001−1+i32−1−i32-33−3i323+3i320000-11−i321+i32−3i−3ζ7−3ζ110000−i−ζ7−ζ113i3ζ73ζ110000iζ7ζ113−3+3i32−3−3i3200001−1+i32−1−i32-33−3i323+3i320000-11−i321+i323−3+3i32−3−3i3200001−1+i32−1−i32-33−3i323+3i320000-11−i321+i32−3i−3ζ7−3ζ110000−i−ζ7−ζ113i3ζ73ζ110000iζ7ζ11
χ383−3+3i32−3−3i320000-11−i321+i32-33−3i323+3i3200001−1+i32−1−i323−3+3i32−3−3i320000-11−i321+i32-33−3i323+3i3200001−1+i32−1−i32−3i−3ζ7−3ζ110000iζ7ζ113i3ζ73ζ110000−i−ζ7−ζ113−3+3i32−3−3i320000-11−i321+i32-33−3i323+3i3200001−1+i32−1−i323−3+3i32−3−3i320000-11−i321+i32-33−3i323+3i3200001−1+i32−1−i32−3i−3ζ7−3ζ110000iζ7ζ113i3ζ73ζ110000−i−ζ7−ζ11
χ393−3−3i32−3+3i3200001−1−i32−1+i32-33+3i323−3i320000-11+i321−i323−3−3i32−3+3i3200001−1−i32−1+i32-33+3i323−3i320000-11+i321−i32−3i−3ζ11−3ζ70000−i−ζ11−ζ73i3ζ113ζ70000iζ11ζ73−3−3i32−3+3i3200001−1−i32−1+i32-33+3i323−3i320000-11+i321−i323−3−3i32−3+3i3200001−1−i32−1+i32-33+3i323−3i320000-11+i321−i32−3i−3ζ11−3ζ70000−i−ζ11−ζ73i3ζ113ζ70000iζ11ζ7
χ403−3−3i32−3+3i320000-11+i321−i32-33+3i323−3i3200001−1−i32−1+i323−3−3i32−3+3i320000-11+i321−i32-33+3i323−3i3200001−1−i32−1+i32−3i−3ζ11−3ζ70000iζ11ζ73i3ζ113ζ70000−i−ζ11−ζ73−3−3i32−3+3i320000-11+i321−i32-33+3i323−3i3200001−1−i32−1+i323−3−3i32−3+3i320000-11+i321−i32-33+3i323−3i3200001−1−i32−1+i32−3i−3ζ11−3ζ70000iζ11ζ73i3ζ113ζ70000−i−ζ11−ζ7
χ4122222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000022222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ422222222-2-2-22222222-2-2-2-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111000000000000000000002222222-2-2-22222222-2-2-2-1-1-1-1-1-1-1111-1-1-1-1-1-1-111100000000000000000000
χ434444-2-2-20004444-2-2-2000-2-2-2-2111000-2-2-2-2111000000000000000000000004444-2-2-20004444-2-2-2000-2-2-2-2111000-2-2-2-211100000000000000000000000
χ44444-24-2-2000444-24-2-2000-2-2-21-211000-2-2-21-21100000000000000000000000444-24-2-2000444-24-2-2000-2-2-21-211000-2-2-21-21100000000000000000000000
χ45444-2-24-2000444-2-24-2000-2-2-211-21000-2-2-211-2100000000000000000000000444-2-24-2000444-2-24-2000-2-2-211-21000-2-2-211-2100000000000000000000000
χ46444-2-2-24000444-2-2-24000-2-2-2111-2000-2-2-2111-200000000000000000000000444-2-2-24000444-2-2-24000-2-2-2111-2000-2-2-2111-200000000000000000000000
χ476−3+3i3−3−3i300002−1+i3−1−i36−3+3i3−3−3i300002−1+i3−1−i3-33−3i323+3i320000-11−i321+i32-33−3i323+3i320000-11−i321+i32000000000000000000006−3+3i3−3−3i300002−1+i3−1−i36−3+3i3−3−3i300002−1+i3−1−i3-33−3i323+3i320000-11−i321+i32-33−3i323+3i320000-11−i321+i3200000000000000000000
χ486−3+3i3−3−3i30000-21−i31+i36−3+3i3−3−3i30000-21−i31+i3-33−3i323+3i3200001−1+i32−1−i32-33−3i323+3i3200001−1+i32−1−i32000000000000000000006−3+3i3−3−3i30000-21−i31+i36−3+3i3−3−3i30000-21−i31+i3-33−3i323+3i3200001−1+i32−1−i32-33−3i323+3i3200001−1+i32−1−i3200000000000000000000
χ496−3−3i3−3+3i300002−1−i3−1+i36−3−3i3−3+3i300002−1−i3−1+i3-33+3i323−3i320000-11+i321−i32-33+3i323−3i320000-11+i321−i32000000000000000000006−3−3i3−3+3i300002−1−i3−1+i36−3−3i3−3+3i300002−1−i3−1+i3-33+3i323−3i320000-11+i321−i32-33+3i323−3i320000-11+i321−i3200000000000000000000
χ506−3−3i3−3+3i30000-21+i31−i36−3−3i3−3+3i30000-21+i31−i3-33+3i323−3i3200001−1−i32−1+i32-33+3i323−3i3200001−1−i32−1+i32000000000000000000006−3−3i3−3+3i30000-21+i31−i36−3−3i3−3+3i30000-21+i31−i3-33+3i323−3i3200001−1−i32−1+i32-33+3i323−3i3200001−1−i32−1+i3200000000000000000000
χ512222222222-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-11111111111000000000000000000002222222222-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1111111111100000000000000000000
χ522222222-2-2-2-2-2-2-2-2-2-2222-1-1-1-1-1-1-11111111111-1-1-1000000000000000000002222222-2-2-2-2-2-2-2-2-2-2222-1-1-1-1-1-1-11111111111-1-1-100000000000000000000
χ534444-2-2-2000-4-4-4-4222000-2-2-2-21110002222-1-1-1000000000000000000000004444-2-2-2000-4-4-4-4222000-2-2-2-21110002222-1-1-100000000000000000000000
χ54444-24-2-2000-4-4-42-422000-2-2-21-211000222-12-1-100000000000000000000000444-24-2-2000-4-4-42-422000-2-2-21-211000222-12-1-100000000000000000000000
χ55444-2-24-2000-4-4-422-42000-2-2-211-21000222-1-12-100000000000000000000000444-2-24-2000-4-4-422-42000-2-2-211-21000222-1-12-100000000000000000000000
χ56444-2-2-24000-4-4-4222-4000-2-2-2111-2000222-1-1-1200000000000000000000000444-2-2-24000-4-4-4222-4000-2-2-2111-2000222-1-1-1200000000000000000000000
χ576−3+3i3−3−3i300002−1+i3−1−i3-63−3i33+3i30000-21−i31+i3-33−3i323+3i320000-11−i321+i323−3+3i32−3−3i3200001−1+i32−1−i32000000000000000000006−3+3i3−3−3i300002−1+i3−1−i3-63−3i33+3i30000-21−i31+i3-33−3i323+3i320000-11−i321+i323−3+3i32−3−3i3200001−1+i32−1−i3200000000000000000000
χ586−3+3i3−3−3i30000-21−i31+i3-63−3i33+3i300002−1+i3−1−i3-33−3i323+3i3200001−1+i32−1−i323−3+3i32−3−3i320000-11−i321+i32000000000000000000006−3+3i3−3−3i30000-21−i31+i3-63−3i33+3i300002−1+i3−1−i3-33−3i323+3i3200001−1+i32−1−i323−3+3i32−3−3i320000-11−i321+i3200000000000000000000
χ596−3−3i3−3+3i300002−1−i3−1+i3-63+3i33−3i30000-21+i31−i3-33+3i323−3i320000-11+i321−i323−3−3i32−3+3i3200001−1−i32−1+i32000000000000000000006−3−3i3−3+3i300002−1−i3−1+i3-63+3i33−3i30000-21+i31−i3-33+3i323−3i320000-11+i321−i323−3−3i32−3+3i3200001−1−i32−1+i3200000000000000000000
χ606−3−3i3−3+3i30000-21+i31−i3-63+3i33−3i300002−1−i3−1+i3-33+3i323−3i3200001−1−i32−1+i323−3−3i32−3+3i320000-11+i321−i32000000000000000000006−3−3i3−3+3i30000-21+i31−i3-63+3i33−3i300002−1−i3−1+i3-33+3i323−3i3200001−1−i32−1+i323−3−3i32−3+3i320000-11+i321−i3200000000000000000000
χ61111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ621111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111
χ632222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-1000-2-2-2-2111000-2-2-2-2111000-2-2-2-2111000-2-2-2-2111000-2-2-2-2111000-2-2-2-2111000
χ64222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000-2-2-21-211000-2-2-21-211000-2-2-21-211000-2-2-21-211000-2-2-21-211000-2-2-21-211000
χ65222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000-2-2-211-21000-2-2-211-21000-2-2-211-21000-2-2-211-21000-2-2-211-21000-2-2-211-21000
χ66222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000-2-2-2111-2000-2-2-2111-2000-2-2-2111-2000-2-2-2111-2000-2-2-2111-2000-2-2-2111-2000
χ673−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i32-33−3i323+3i320000-11−i321+i32-33−3i323+3i320000-11−i321+i32-33−3i323+3i320000-11−i321+i32-33−3i323+3i320000-11−i321+i32-33−3i323+3i320000-11−i321+i32-33−3i323+3i320000-11−i321+i32
χ683−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i32-33−3i323+3i3200001−1+i32−1−i32-33−3i323+3i3200001−1+i32−1−i32-33−3i323+3i3200001−1+i32−1−i32-33−3i323+3i3200001−1+i32−1−i32-33−3i323+3i3200001−1+i32−1−i32-33−3i323+3i3200001−1+i32−1−i32
χ693−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i32-33+3i323−3i320000-11+i321−i32-33+3i323−3i320000-11+i321−i32-33+3i323−3i320000-11+i321−i32-33+3i323−3i320000-11+i321−i32-33+3i323−3i320000-11+i321−i32-33+3i323−3i320000-11+i321−i32
χ703−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i32-33+3i323−3i3200001−1−i32−1+i32-33+3i323−3i3200001−1−i32−1+i32-33+3i323−3i3200001−1−i32−1+i32-33+3i323−3i3200001−1−i32−1+i32-33+3i323−3i3200001−1−i32−1+i32-33+3i323−3i3200001−1−i32−1+i32
χ711111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111
χ721111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111-1-1-1-1-1-1-11111111111-1-1-11111111-1-1-1
χ732222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-1000-2-2-2-2111000-2-2-2-2111000-2-2-2-2111000-2-2-2-2111000-2-2-2-2111000-2-2-2-21110002222-1-1-10002222-1-1-1000
χ74222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000-2-2-21-211000-2-2-21-211000-2-2-21-211000-2-2-21-211000-2-2-21-211000-2-2-21-211000222-12-1-1000222-12-1-1000
χ75222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000-2-2-211-21000-2-2-211-21000-2-2-211-21000-2-2-211-21000-2-2-211-21000-2-2-211-21000222-1-12-1000222-1-12-1000
χ76222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000-2-2-2111-2000-2-2-2111-2000-2-2-2111-2000-2-2-2111-2000-2-2-2111-2000-2-2-2111-2000222-1-1-12000222-1-1-12000
χ773−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i32-33−3i323+3i320000-11−i321+i32-33−3i323+3i320000-11−i321+i32-33−3i323+3i320000-11−i321+i32-33−3i323+3i320000-11−i321+i32-33−3i323+3i320000-11−i321+i32-33−3i323+3i320000-11−i321+i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i32
χ783−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i32-33−3i323+3i3200001−1+i32−1−i32-33−3i323+3i3200001−1+i32−1−i32-33−3i323+3i3200001−1+i32−1−i32-33−3i323+3i3200001−1+i32−1−i32-33−3i323+3i3200001−1+i32−1−i32-33−3i323+3i3200001−1+i32−1−i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i32
χ793−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i32-33+3i323−3i320000-11+i321−i32-33+3i323−3i320000-11+i321−i32-33+3i323−3i320000-11+i321−i32-33+3i323−3i320000-11+i321−i32-33+3i323−3i320000-11+i321−i32-33+3i323−3i320000-11+i321−i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i32
χ803−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i32-33+3i323−3i3200001−1−i32−1+i32-33+3i323−3i3200001−1−i32−1+i32-33+3i323−3i3200001−1−i32−1+i32-33+3i323−3i3200001−1−i32−1+i32-33+3i323−3i3200001−1−i32−1+i32-33+3i323−3i3200001−1−i32−1+i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i32
χ811111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1iiiiiiiiii−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111−i−i−i−i−i−i−i−i−i−iiiiiiiiiii
χ821111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111iiiiiii−i−i−i−i−i−i−i−i−i−iiii-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1−i−i−i−i−i−i−iiiiiiiiiii−i−i−i
χ832222-1-1-1000-2-2-2-21110002222-1-1-1000-2-2-2-21110002i2i2i2i−i−i−i000−2i−2i−2i−2iiii000-2-2-2-21110002222-1-1-1000-2-2-2-21110002222-1-1-1000−2i−2i−2i−2iiii0002i2i2i2i−i−i−i000
χ84222-12-1-1000-2-2-21-211000222-12-1-1000-2-2-21-2110002i2i2i−i2i−i−i000−2i−2i−2ii−2iii000-2-2-21-211000222-12-1-1000-2-2-21-211000222-12-1-1000−2i−2i−2ii−2iii0002i2i2i−i2i−i−i000
χ85222-1-12-1000-2-2-211-21000222-1-12-1000-2-2-211-210002i2i2i−i−i2i−i000−2i−2i−2iii−2ii000-2-2-211-21000222-1-12-1000-2-2-211-21000222-1-12-1000−2i−2i−2iii−2ii0002i2i2i−i−i2i−i000
χ86222-1-1-12000-2-2-2111-2000222-1-1-12000-2-2-2111-20002i2i2i−i−i−i2i000−2i−2i−2iiii−2i000-2-2-2111-2000222-1-1-12000-2-2-2111-2000222-1-1-12000−2i−2i−2iiii−2i0002i2i2i−i−i−i2i000
χ873−3+3i32−3−3i3200001−1+i32−1−i32-33−3i323+3i320000-11−i321+i323−3+3i32−3−3i3200001−1+i32−1−i32-33−3i323+3i320000-11−i321+i323i3ζ73ζ110000iζ7ζ11−3i−3ζ7−3ζ110000−i−ζ7−ζ11-33−3i323+3i320000-11−i321+i323−3+3i32−3−3i3200001−1+i32−1−i32-33−3i323+3i320000-11−i321+i323−3+3i32−3−3i3200001−1+i32−1−i32−3i−3ζ7−3ζ110000−i−ζ7−ζ113i3ζ73ζ110000iζ7ζ11
χ883−3+3i32−3−3i320000-11−i321+i32-33−3i323+3i3200001−1+i32−1−i323−3+3i32−3−3i320000-11−i321+i32-33−3i323+3i3200001−1+i32−1−i323i3ζ73ζ110000−i−ζ7−ζ11−3i−3ζ7−3ζ110000iζ7ζ11-33−3i323+3i3200001−1+i32−1−i323−3+3i32−3−3i320000-11−i321+i32-33−3i323+3i3200001−1+i32−1−i323−3+3i32−3−3i320000-11−i321+i32−3i−3ζ7−3ζ110000iζ7ζ113i3ζ73ζ110000−i−ζ7−ζ11
χ893−3−3i32−3+3i3200001−1−i32−1+i32-33+3i323−3i320000-11+i321−i323−3−3i32−3+3i3200001−1−i32−1+i32-33+3i323−3i320000-11+i321−i323i3ζ113ζ70000iζ11ζ7−3i−3ζ11−3ζ70000−i−ζ11−ζ7-33+3i323−3i320000-11+i321−i323−3−3i32−3+3i3200001−1−i32−1+i32-33+3i323−3i320000-11+i321−i323−3−3i32−3+3i3200001−1−i32−1+i32−3i−3ζ11−3ζ70000−i−ζ11−ζ73i3ζ113ζ70000iζ11ζ7
χ903−3−3i32−3+3i320000-11+i321−i32-33+3i323−3i3200001−1−i32−1+i323−3−3i32−3+3i320000-11+i321−i32-33+3i323−3i3200001−1−i32−1+i323i3ζ113ζ70000−i−ζ11−ζ7−3i−3ζ11−3ζ70000iζ11ζ7-33+3i323−3i3200001−1−i32−1+i323−3−3i32−3+3i320000-11+i321−i32-33+3i323−3i3200001−1−i32−1+i323−3−3i32−3+3i320000-11+i321−i32−3i−3ζ11−3ζ70000iζ11ζ73i3ζ113ζ70000−i−ζ11−ζ7
χ911111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−iiiiiiiiiii-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111iiiiiiiiii−i−i−i−i−i−i−i−i−i−i
χ921111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111−i−i−i−i−i−i−iiiiiiiiiii−i−i−i-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1iiiiiii−i−i−i−i−i−i−i−i−i−iiii
χ932222-1-1-1000-2-2-2-21110002222-1-1-1000-2-2-2-2111000−2i−2i−2i−2iiii0002i2i2i2i−i−i−i000-2-2-2-21110002222-1-1-1000-2-2-2-21110002222-1-1-10002i2i2i2i−i−i−i000−2i−2i−2i−2iiii000
χ94222-12-1-1000-2-2-21-211000222-12-1-1000-2-2-21-211000−2i−2i−2ii−2iii0002i2i2i−i2i−i−i000-2-2-21-211000222-12-1-1000-2-2-21-211000222-12-1-10002i2i2i−i2i−i−i000−2i−2i−2ii−2iii000
χ95222-1-12-1000-2-2-211-21000222-1-12-1000-2-2-211-21000−2i−2i−2iii−2ii0002i2i2i−i−i2i−i000-2-2-211-21000222-1-12-1000-2-2-211-21000222-1-12-10002i2i2i−i−i2i−i000−2i−2i−2iii−2ii000
χ96222-1-1-12000-2-2-2111-2000222-1-1-12000-2-2-2111-2000−2i−2i−2iiii−2i0002i2i2i−i−i−i2i000-2-2-2111-2000222-1-1-12000-2-2-2111-2000222-1-1-120002i2i2i−i−i−i2i000−2i−2i−2iiii−2i000
χ973−3+3i32−3−3i3200001−1+i32−1−i32-33−3i323+3i320000-11−i321+i323−3+3i32−3−3i3200001−1+i32−1−i32-33−3i323+3i320000-11−i321+i32−3i−3ζ7−3ζ110000−i−ζ7−ζ113i3ζ73ζ110000iζ7ζ11-33−3i323+3i320000-11−i321+i323−3+3i32−3−3i3200001−1+i32−1−i32-33−3i323+3i320000-11−i321+i323−3+3i32−3−3i3200001−1+i32−1−i323i3ζ73ζ110000iζ7ζ11−3i−3ζ7−3ζ110000−i−ζ7−ζ11
χ983−3+3i32−3−3i320000-11−i321+i32-33−3i323+3i3200001−1+i32−1−i323−3+3i32−3−3i320000-11−i321+i32-33−3i323+3i3200001−1+i32−1−i32−3i−3ζ7−3ζ110000iζ7ζ113i3ζ73ζ110000−i−ζ7−ζ11-33−3i323+3i3200001−1+i32−1−i323−3+3i32−3−3i320000-11−i321+i32-33−3i323+3i3200001−1+i32−1−i323−3+3i32−3−3i320000-11−i321+i323i3ζ73ζ110000−i−ζ7−ζ11−3i−3ζ7−3ζ110000iζ7ζ11
χ993−3−3i32−3+3i3200001−1−i32−1+i32-33+3i323−3i320000-11+i321−i323−3−3i32−3+3i3200001−1−i32−1+i32-33+3i323−3i320000-11+i321−i32−3i−3ζ11−3ζ70000−i−ζ11−ζ73i3ζ113ζ70000iζ11ζ7-33+3i323−3i320000-11+i321−i323−3−3i32−3+3i3200001−1−i32−1+i32-33+3i323−3i320000-11+i321−i323−3−3i32−3+3i3200001−1−i32−1+i323i3ζ113ζ70000iζ11ζ7−3i−3ζ11−3ζ70000−i−ζ11−ζ7
χ1003−3−3i32−3+3i320000-11+i321−i32-33+3i323−3i3200001−1−i32−1+i323−3−3i32−3+3i320000-11+i321−i32-33+3i323−3i3200001−1−i32−1+i32−3i−3ζ11−3ζ70000iζ11ζ73i3ζ113ζ70000−i−ζ11−ζ7-33+3i323−3i3200001−1−i32−1+i323−3−3i32−3+3i320000-11+i321−i32-33+3i323−3i3200001−1−i32−1+i323−3−3i32−3+3i320000-11+i321−i323i3ζ113ζ70000−i−ζ11−ζ7−3i−3ζ11−3ζ70000iζ11ζ7
χ10122222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21111111111111111111100000000000000000000
χ1022222222-2-2-22222222-2-2-2-1-1-1-1-1-1-1111-1-1-1-1-1-1-111100000000000000000000-2-2-2-2-2-2-2222-2-2-2-2-2-2-22221111111-1-1-11111111-1-1-100000000000000000000
χ1034444-2-2-20004444-2-2-2000-2-2-2-2111000-2-2-2-211100000000000000000000000-4-4-4-4222000-4-4-4-42220002222-1-1-10002222-1-1-100000000000000000000000
χ104444-24-2-2000444-24-2-2000-2-2-21-211000-2-2-21-21100000000000000000000000-4-4-42-422000-4-4-42-422000222-12-1-1000222-12-1-100000000000000000000000
χ105444-2-24-2000444-2-24-2000-2-2-211-21000-2-2-211-2100000000000000000000000-4-4-422-42000-4-4-422-42000222-1-12-1000222-1-12-100000000000000000000000
χ106444-2-2-24000444-2-2-24000-2-2-2111-2000-2-2-2111-200000000000000000000000-4-4-4222-4000-4-4-4222-4000222-1-1-12000222-1-1-1200000000000000000000000
χ1076−3+3i3−3−3i300002−1+i3−1−i36−3+3i3−3−3i300002−1+i3−1−i3-33−3i323+3i320000-11−i321+i32-33−3i323+3i320000-11−i321+i3200000000000000000000-63−3i33+3i30000-21−i31+i3-63−3i33+3i30000-21−i31+i33−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i3200000000000000000000
χ1086−3+3i3−3−3i30000-21−i31+i36−3+3i3−3−3i30000-21−i31+i3-33−3i323+3i3200001−1+i32−1−i32-33−3i323+3i3200001−1+i32−1−i3200000000000000000000-63−3i33+3i300002−1+i3−1−i3-63−3i33+3i300002−1+i3−1−i33−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i3200000000000000000000
χ1096−3−3i3−3+3i300002−1−i3−1+i36−3−3i3−3+3i300002−1−i3−1+i3-33+3i323−3i320000-11+i321−i32-33+3i323−3i320000-11+i321−i3200000000000000000000-63+3i33−3i30000-21+i31−i3-63+3i33−3i30000-21+i31−i33−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i3200000000000000000000
χ1106−3−3i3−3+3i30000-21+i31−i36−3−3i3−3+3i30000-21+i31−i3-33+3i323−3i3200001−1−i32−1+i32-33+3i323−3i3200001−1−i32−1+i3200000000000000000000-63+3i33−3i300002−1−i3−1+i3-63+3i33−3i300002−1−i3−1+i33−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i3200000000000000000000
χ1112222222222-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1111111111100000000000000000000-2-2-2-2-2-2-2-2-2-222222222221111111111-1-1-1-1-1-1-1-1-1-100000000000000000000
χ1122222222-2-2-2-2-2-2-2-2-2-2222-1-1-1-1-1-1-11111111111-1-1-100000000000000000000-2-2-2-2-2-2-22222222222-2-2-21111111-1-1-1-1-1-1-1-1-1-111100000000000000000000
χ1134444-2-2-2000-4-4-4-4222000-2-2-2-21110002222-1-1-100000000000000000000000-4-4-4-42220004444-2-2-20002222-1-1-1000-2-2-2-211100000000000000000000000
χ114444-24-2-2000-4-4-42-422000-2-2-21-211000222-12-1-100000000000000000000000-4-4-42-422000444-24-2-2000222-12-1-1000-2-2-21-21100000000000000000000000
χ115444-2-24-2000-4-4-422-42000-2-2-211-21000222-1-12-100000000000000000000000-4-4-422-42000444-2-24-2000222-1-12-1000-2-2-211-2100000000000000000000000
χ116444-2-2-24000-4-4-4222-4000-2-2-2111-2000222-1-1-1200000000000000000000000-4-4-4222-4000444-2-2-24000222-1-1-12000-2-2-2111-200000000000000000000000
χ1176−3+3i3−3−3i300002−1+i3−1−i3-63−3i33+3i30000-21−i31+i3-33−3i323+3i320000-11−i321+i323−3+3i32−3−3i3200001−1+i32−1−i3200000000000000000000-63−3i33+3i30000-21−i31+i36−3+3i3−3−3i300002−1+i3−1−i33−3+3i32−3−3i3200001−1+i32−1−i32-33−3i323+3i320000-11−i321+i3200000000000000000000
χ1186−3+3i3−3−3i30000-21−i31+i3-63−3i33+3i300002−1+i3−1−i3-33−3i323+3i3200001−1+i32−1−i323−3+3i32−3−3i320000-11−i321+i3200000000000000000000-63−3i33+3i300002−1+i3−1−i36−3+3i3−3−3i30000-21−i31+i33−3+3i32−3−3i320000-11−i321+i32-33−3i323+3i3200001−1+i32−1−i3200000000000000000000
χ1196−3−3i3−3+3i300002−1−i3−1+i3-63+3i33−3i30000-21+i31−i3-33+3i323−3i320000-11+i321−i323−3−3i32−3+3i3200001−1−i32−1+i3200000000000000000000-63+3i33−3i30000-21+i31−i36−3−3i3−3+3i300002−1−i3−1+i33−3−3i32−3+3i3200001−1−i32−1+i32-33+3i323−3i320000-11+i321−i3200000000000000000000
χ1206−3−3i3−3+3i30000-21+i31−i3-63+3i33−3i300002−1−i3−1+i3-33+3i323−3i3200001−1−i32−1+i323−3−3i32−3+3i320000-11+i321−i3200000000000000000000-63+3i33−3i300002−1−i3−1+i36−3−3i3−3+3i30000-21+i31−i33−3−3i32−3+3i320000-11+i321−i32-33+3i323−3i3200001−1−i32−1+i3200000000000000000000

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