Finite Group Databasebeta

← Group #13144822

Character table — Group #13144822

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146
size11111122222222244444466666666666666661212121212121212121212121212121212121212121212123636363636363636363636361111112222222224444446666666666666666121212121212121212121212121212121212121212121212363636363636363636363636
order12336622266666624661212333366666666666666666666666666661212121212121212444412121212121212122266662226666662466121266666666666666666666666666666666121212121212121244441212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ4111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ51111111-1-111-1-1-1-11-111-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1i−ii−iii−i−iii−i−i1111111-1-111-1-1-1-11-111-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1i−ii−iii−i−iii−i−i
χ61111111-1-111-1-1-1-11-111-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−ii−ii−i−iii−i−iii1111111-1-111-1-1-1-11-111-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−ii−ii−i−iii−i−iii
χ71111111-1-111-1-1-1-1-11-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111i−i−iiii−i−i−i−iii1111111-1-111-1-1-1-1-11-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111i−i−iiii−i−i−i−iii
χ81111111-1-111-1-1-1-1-11-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−iii−i−i−iiiii−i−i1111111-1-111-1-1-1-1-11-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−iii−i−i−iiiii−i−i
χ92222222222222222222222-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000000000002222222222222222222222-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000000000
χ10222222222222222222222-12-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000000000222222222222222222222-12-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000000000
χ11222222222222222222222-1-12-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1000000000000222222222222222222222-1-12-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1000000000000
χ12222222222222222222222-1-1-12-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122000000000000222222222222222222222-1-1-12-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122000000000000
χ13222222222222222-2-2-2-2-2-22-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111000000000000222222222222222-2-2-2-2-2-22-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111000000000000
χ14222222222222222-2-2-2-2-2-2-12-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-111-2-2111111-2-21111000000000000222222222222222-2-2-2-2-2-2-12-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-111-2-2111111-2-21111000000000000
χ15222222222222222-2-2-2-2-2-2-1-12-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-11111-2-2111111-2-211000000000000222222222222222-2-2-2-2-2-2-1-12-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-11111-2-2111111-2-211000000000000
χ16222222222222222-2-2-2-2-2-2-1-1-12-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122111111-2-2111111-2-2000000000000222222222222222-2-2-2-2-2-2-1-1-12-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122111111-2-2111111-2-2000000000000
χ172222222-2-222-2-2-2-22-222-2-22-1-1-122-1-1-1-1-1-12-1-1-1-2-211111122-1-1-1-1-1-1-2-21111110000000000002222222-2-222-2-2-2-22-222-2-22-1-1-122-1-1-1-1-1-12-1-1-1-2-211111122-1-1-1-1-1-1-2-2111111000000000000
χ182222222-2-222-2-2-2-22-222-2-2-12-1-1-1-122-1-1-1-1-12-1-111-2-21111-1-122-1-1-1-111-2-211110000000000002222222-2-222-2-2-2-22-222-2-2-12-1-1-1-122-1-1-1-1-12-1-111-2-21111-1-122-1-1-1-111-2-21111000000000000
χ192222222-2-222-2-2-2-22-222-2-2-1-12-1-1-1-1-122-1-1-1-12-11111-2-211-1-1-1-122-1-11111-2-2110000000000002222222-2-222-2-2-2-22-222-2-2-1-12-1-1-1-1-122-1-1-1-12-11111-2-211-1-1-1-122-1-11111-2-211000000000000
χ202222222-2-222-2-2-2-22-222-2-2-1-1-12-1-1-1-1-1-122-1-1-12111111-2-2-1-1-1-1-1-122111111-2-20000000000002222222-2-222-2-2-2-22-222-2-2-1-1-12-1-1-1-1-1-122-1-1-12111111-2-2-1-1-1-1-1-122111111-2-2000000000000
χ212222222-2-222-2-2-2-2-22-2-2222-1-1-122-1-1-1-1-1-12-1-1-1-2-2111111-2-211111122-1-1-1-1-1-10000000000002222222-2-222-2-2-2-2-22-2-2222-1-1-122-1-1-1-1-1-12-1-1-1-2-2111111-2-211111122-1-1-1-1-1-1000000000000
χ222222222-2-222-2-2-2-2-22-2-222-12-1-1-1-122-1-1-1-1-12-1-111-2-2111111-2-21111-1-122-1-1-1-10000000000002222222-2-222-2-2-2-2-22-2-222-12-1-1-1-122-1-1-1-1-12-1-111-2-2111111-2-21111-1-122-1-1-1-1000000000000
χ232222222-2-222-2-2-2-2-22-2-222-1-12-1-1-1-1-122-1-1-1-12-11111-2-2111111-2-211-1-1-1-122-1-10000000000002222222-2-222-2-2-2-2-22-2-222-1-12-1-1-1-1-122-1-1-1-12-11111-2-2111111-2-211-1-1-1-122-1-1000000000000
χ242222222-2-222-2-2-2-2-22-2-222-1-1-12-1-1-1-1-1-122-1-1-12111111-2-2111111-2-2-1-1-1-1-1-1220000000000002222222-2-222-2-2-2-2-22-2-222-1-1-12-1-1-1-1-1-122-1-1-12111111-2-2111111-2-2-1-1-1-1-1-122000000000000
χ25222222-22-2-2-222-2-20000002222-2-2-2-2-2-2-2-222222-22-22-22-20000000000000000000000000000222222-22-2-2-222-2-20000002222-2-2-2-2-2-2-2-222222-22-22-22-20000000000000000000000000000
χ26222222-22-2-2-222-2-20000002-1-1-1-2-21111112-1-1-12-2-11-11-1100−i3i3−i3i3−i3i300−i3i3−i3i3−i3i3000000000000222222-22-2-2-222-2-20000002-1-1-1-2-21111112-1-1-12-2-11-11-1100−i3i3−i3i3−i3i300−i3i3−i3i3−i3i3000000000000
χ27222222-22-2-2-222-2-20000002-1-1-1-2-21111112-1-1-12-2-11-11-1100i3−i3i3−i3i3−i300i3−i3i3−i3i3−i3000000000000222222-22-2-2-222-2-20000002-1-1-1-2-21111112-1-1-12-2-11-11-1100i3−i3i3−i3i3−i300i3−i3i3−i3i3−i3000000000000
χ28222222-22-2-2-222-2-2000000-12-1-111-2-21111-12-1-1-112-2-11-11−i3i300−i3i3i3−i3−i3i300−i3i3i3−i3000000000000222222-22-2-2-222-2-2000000-12-1-111-2-21111-12-1-1-112-2-11-11−i3i300−i3i3i3−i3−i3i300−i3i3i3−i3000000000000
χ29222222-22-2-2-222-2-2000000-12-1-111-2-21111-12-1-1-112-2-11-11i3−i300i3−i3−i3i3i3−i300i3−i3−i3i3000000000000222222-22-2-2-222-2-2000000-12-1-111-2-21111-12-1-1-112-2-11-11i3−i300i3−i3−i3i3i3−i300i3−i3−i3i3000000000000
χ30222222-22-2-2-222-2-2000000-1-12-11111-2-211-1-12-1-11-112-2-11−i3i3i3−i300−i3i3−i3i3i3−i300−i3i3000000000000222222-22-2-2-222-2-2000000-1-12-11111-2-211-1-12-1-11-112-2-11−i3i3i3−i300−i3i3−i3i3i3−i300−i3i3000000000000
χ31222222-22-2-2-222-2-2000000-1-12-11111-2-211-1-12-1-11-112-2-11i3−i3−i3i300i3−i3i3−i3−i3i300i3−i3000000000000222222-22-2-2-222-2-2000000-1-12-11111-2-211-1-12-1-11-112-2-11i3−i3−i3i300i3−i3i3−i3−i3i300i3−i3000000000000
χ32222222-22-2-2-222-2-2000000-1-1-12111111-2-2-1-1-12-11-11-112-2−i3i3−i3i3i3−i300−i3i3−i3i3i3−i300000000000000222222-22-2-2-222-2-2000000-1-1-12111111-2-2-1-1-12-11-11-112-2−i3i3−i3i3i3−i300−i3i3−i3i3i3−i300000000000000
χ33222222-22-2-2-222-2-2000000-1-1-12111111-2-2-1-1-12-11-11-112-2i3−i3i3−i3−i3i300i3−i3i3−i3−i3i300000000000000222222-22-2-2-222-2-2000000-1-1-12111111-2-2-1-1-12-11-11-112-2i3−i3i3−i3−i3i300i3−i3i3−i3−i3i300000000000000
χ34222222-2-22-2-2-2-2220000002222-2-2-2-2-2-2-2-22222-22-22-22-220000000000000000000000000000222222-2-22-2-2-2-2220000002222-2-2-2-2-2-2-2-22222-22-22-22-220000000000000000000000000000
χ35222222-2-22-2-2-2-2220000002-1-1-1-2-21111112-1-1-1-221-11-11-100−i3i3−i3i3−i3i300i3−i3i3−i3i3−i3000000000000222222-2-22-2-2-2-2220000002-1-1-1-2-21111112-1-1-1-221-11-11-100−i3i3−i3i3−i3i300i3−i3i3−i3i3−i3000000000000
χ36222222-2-22-2-2-2-2220000002-1-1-1-2-21111112-1-1-1-221-11-11-100i3−i3i3−i3i3−i300−i3i3−i3i3−i3i3000000000000222222-2-22-2-2-2-2220000002-1-1-1-2-21111112-1-1-1-221-11-11-100i3−i3i3−i3i3−i300−i3i3−i3i3−i3i3000000000000
χ37222222-2-22-2-2-2-222000000-12-1-111-2-21111-12-1-11-1-221-11-1−i3i300−i3i3i3−i3i3−i300i3−i3−i3i3000000000000222222-2-22-2-2-2-222000000-12-1-111-2-21111-12-1-11-1-221-11-1−i3i300−i3i3i3−i3i3−i300i3−i3−i3i3000000000000
χ38222222-2-22-2-2-2-222000000-12-1-111-2-21111-12-1-11-1-221-11-1i3−i300i3−i3−i3i3−i3i300−i3i3i3−i3000000000000222222-2-22-2-2-2-222000000-12-1-111-2-21111-12-1-11-1-221-11-1i3−i300i3−i3−i3i3−i3i300−i3i3i3−i3000000000000
χ39222222-2-22-2-2-2-222000000-1-12-11111-2-211-1-12-11-11-1-221-1−i3i3i3−i300−i3i3i3−i3−i3i300i3−i3000000000000222222-2-22-2-2-2-222000000-1-12-11111-2-211-1-12-11-11-1-221-1−i3i3i3−i300−i3i3i3−i3−i3i300i3−i3000000000000
χ40222222-2-22-2-2-2-222000000-1-12-11111-2-211-1-12-11-11-1-221-1i3−i3−i3i300i3−i3−i3i3i3−i300−i3i3000000000000222222-2-22-2-2-2-222000000-1-12-11111-2-211-1-12-11-11-1-221-1i3−i3−i3i300i3−i3−i3i3i3−i300−i3i3000000000000
χ41222222-2-22-2-2-2-222000000-1-1-12111111-2-2-1-1-121-11-11-1-22−i3i3−i3i3i3−i300i3−i3i3−i3−i3i300000000000000222222-2-22-2-2-2-222000000-1-1-12111111-2-2-1-1-121-11-11-1-22−i3i3−i3i3i3−i300i3−i3i3−i3−i3i300000000000000
χ42222222-2-22-2-2-2-222000000-1-1-12111111-2-2-1-1-121-11-11-1-22i3−i3i3−i3−i3i300−i3i3−i3i3i3−i300000000000000222222-2-22-2-2-2-222000000-1-1-12111111-2-2-1-1-121-11-11-1-22i3−i3i3−i3−i3i300−i3i3−i3i3i3−i300000000000000
χ4333−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i3200000000000000000000000000000000000000001111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3233−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i3200000000000000000000000000000000000000001111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ4433−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i320000000000000000000000000000000000000000-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i3233−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i320000000000000000000000000000000000000000-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32
χ4533−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i32000000000000000000000000000000000000000011-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i3233−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i32000000000000000000000000000000000000000011-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32
χ4633−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i320000000000000000000000000000000000000000-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i3233−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i320000000000000000000000000000000000000000-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32
χ4733−3−3i32−3+3i32−3−3i32−3+3i323-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i323-3−3−3i32−3+3i323+3i323−3i320000000000000000000000000000000000000000i−ii−iζ11ζ7−ζ11−ζ7ζ11ζ7−ζ11−ζ733−3−3i32−3+3i32−3−3i32−3+3i323-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i323-3−3−3i32−3+3i323+3i323−3i320000000000000000000000000000000000000000i−ii−iζ11ζ7−ζ11−ζ7ζ11ζ7−ζ11−ζ7
χ4833−3−3i32−3+3i32−3−3i32−3+3i323-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i323-3−3−3i32−3+3i323+3i323−3i320000000000000000000000000000000000000000−ii−ii−ζ11−ζ7ζ11ζ7−ζ11−ζ7ζ11ζ733−3−3i32−3+3i32−3−3i32−3+3i323-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i323-3−3−3i32−3+3i323+3i323−3i320000000000000000000000000000000000000000−ii−ii−ζ11−ζ7ζ11ζ7−ζ11−ζ7ζ11ζ7
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χ109222222-2-22-2-2-2-2220000002-1-1-1-2-21111112-1-1-1-221-11-11-100i3−i3i3−i3i3−i300−i3i3−i3i3−i3i3000000000000-2-2-2-2-2-222-22222-2-2000000-211122-1-1-1-1-1-1-21112-2-11-11-1100−i3i3−i3i3−i3i300i3−i3i3−i3i3−i3000000000000
χ110222222-2-22-2-2-2-222000000-12-1-111-2-21111-12-1-11-1-221-11-1−i3i300−i3i3i3−i3i3−i300i3−i3−i3i3000000000000-2-2-2-2-2-222-22222-2-20000001-211-1-122-1-1-1-11-211-112-2-11-11i3−i300i3−i3−i3i3−i3i300−i3i3i3−i3000000000000
χ111222222-2-22-2-2-2-222000000-12-1-111-2-21111-12-1-11-1-221-11-1i3−i300i3−i3−i3i3−i3i300−i3i3i3−i3000000000000-2-2-2-2-2-222-22222-2-20000001-211-1-122-1-1-1-11-211-112-2-11-11−i3i300−i3i3i3−i3i3−i300i3−i3−i3i3000000000000
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χ113222222-2-22-2-2-2-222000000-1-12-11111-2-211-1-12-11-11-1-221-1i3−i3−i3i300i3−i3−i3i3i3−i300−i3i3000000000000-2-2-2-2-2-222-22222-2-200000011-21-1-1-1-122-1-111-21-11-112-2-11−i3i3i3−i300−i3i3i3−i3−i3i300i3−i3000000000000
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χ11633−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i3200000000000000000000000000000000000000001111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-3-33+3i323−3i323+3i323−3i32-3-3-33+3i323−3i323+3i323−3i323+3i323−3i32-3-33+3i323−3i323+3i323−3i320000000000000000000000000000000000000000-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32
χ11733−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i320000000000000000000000000000000000000000-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32-3-33+3i323−3i323+3i323−3i32-3-3-33+3i323−3i323+3i323−3i323+3i323−3i32-3-33+3i323−3i323+3i323−3i3200000000000000000000000000000000000000001111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ11833−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i32000000000000000000000000000000000000000011-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32-3-33+3i323−3i323+3i323−3i32-3-3-33+3i323−3i323+3i323−3i323+3i323−3i3233−3−3i32−3+3i32−3−3i32−3+3i320000000000000000000000000000000000000000-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32
χ11933−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i320000000000000000000000000000000000000000-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32-3-33+3i323−3i323+3i323−3i32-3-3-33+3i323−3i323+3i323−3i323+3i323−3i3233−3−3i32−3+3i32−3−3i32−3+3i32000000000000000000000000000000000000000011-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32
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χ12233−3−3i32−3+3i32−3−3i32−3+3i323-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i32-333+3i323−3i32−3−3i32−3+3i320000000000000000000000000000000000000000i−i−iiζ11ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7-3-33+3i323−3i323+3i323−3i32-3333+3i323−3i32−3−3i32−3+3i32−3−3i32−3+3i323-3−3−3i32−3+3i323+3i323−3i320000000000000000000000000000000000000000−iii−i−ζ11−ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7
χ12333−3−3i32−3+3i32−3−3i32−3+3i323-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i32-333+3i323−3i32−3−3i32−3+3i320000000000000000000000000000000000000000−iii−i−ζ11−ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7-3-33+3i323−3i323+3i323−3i32-3333+3i323−3i32−3−3i32−3+3i32−3−3i32−3+3i323-3−3−3i32−3+3i323+3i323−3i320000000000000000000000000000000000000000i−i−iiζ11ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7
χ12433−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i3200000000000000000000000000000000000000001111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-3-33−3i323+3i323−3i323+3i32-3-3-33−3i323+3i323−3i323+3i323−3i323+3i32-3-33−3i323+3i323−3i323+3i320000000000000000000000000000000000000000-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i32
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χ12933−3+3i32−3−3i32−3+3i32−3−3i323-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i323-3−3+3i32−3−3i323−3i323+3i320000000000000000000000000000000000000000−ii−ii−ζ7−ζ11ζ7ζ11−ζ7−ζ11ζ7ζ11-3-33−3i323+3i323−3i323+3i32-3333−3i323+3i32−3+3i32−3−3i32−3+3i32−3−3i32-333−3i323+3i32−3+3i32−3−3i320000000000000000000000000000000000000000i−ii−iζ7ζ11−ζ7−ζ11ζ7ζ11−ζ7−ζ11
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χ1324-444-4-4000000000000000444400000000-4-4-4-4000000000000000000000000000000000000-44-4-444000000000000000-4-4-4-4000000004444000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.