Finite Group Databasebeta

← Group #14516536

Character table — Group #14516536

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111111111333333333666999999999121212121212121212121212121212121212181818181818181818181818181818272727272727272727363636363636363636363636363636363636727272727272
order133333333266666666333266666666999999999999999999333666666666666266666666181818181818181818181818181818181818999999
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111−1+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−i32111111111111111111111111−1+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
χ3111111111111111111111111111111−1−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+i32111111111111111111111111−1−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
χ4111111111111111111111-1-1-1-1-1-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111-1-1-1-1-1-1-1-1-1−1+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−i32111111111111111-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ6111111111111111111111-1-1-1-1-1-1-1-1-1−1−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+i32111111111111111-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ7111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32ζζζζ4ζ4ζ4ζ7ζ7ζ7ζ2ζ2ζ2ζ5ζ5ζ5ζ8ζ8ζ81−1+i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32ζζζζ4ζ4ζ4ζ7ζ7ζ7ζ2ζ2ζ2ζ5ζ5ζ5ζ8ζ8ζ8ζζ4ζ7ζ2ζ5ζ8
χ8111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32ζ4ζ4ζ4ζ7ζ7ζ7ζζζζ8ζ8ζ8ζ2ζ2ζ2ζ5ζ5ζ51−1+i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32ζ4ζ4ζ4ζ7ζ7ζ7ζζζζ8ζ8ζ8ζ2ζ2ζ2ζ5ζ5ζ5ζ4ζ7ζζ8ζ2ζ5
χ9111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32ζ7ζ7ζ7ζζζζ4ζ4ζ4ζ5ζ5ζ5ζ8ζ8ζ8ζ2ζ2ζ21−1+i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32ζ7ζ7ζ7ζζζζ4ζ4ζ4ζ5ζ5ζ5ζ8ζ8ζ8ζ2ζ2ζ2ζ7ζζ4ζ5ζ8ζ2
χ10111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32-1-1-11−i321+i321−i321+i321−i321+i32ζζζζ4ζ4ζ4ζ7ζ7ζ7ζ2ζ2ζ2ζ5ζ5ζ5ζ8ζ8ζ81−1+i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-11−i321+i321−i321+i321−i321+i32−ζ−ζ−ζ−ζ4−ζ4−ζ4−ζ7−ζ7−ζ7−ζ2−ζ2−ζ2−ζ5−ζ5−ζ5−ζ8−ζ8−ζ8ζζ4ζ7ζ2ζ5ζ8
χ11111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32-1-1-11−i321+i321−i321+i321−i321+i32ζ4ζ4ζ4ζ7ζ7ζ7ζζζζ8ζ8ζ8ζ2ζ2ζ2ζ5ζ5ζ51−1+i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-11−i321+i321−i321+i321−i321+i32−ζ4−ζ4−ζ4−ζ7−ζ7−ζ7−ζ−ζ−ζ−ζ8−ζ8−ζ8−ζ2−ζ2−ζ2−ζ5−ζ5−ζ5ζ4ζ7ζζ8ζ2ζ5
χ12111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32-1-1-11−i321+i321−i321+i321−i321+i32ζ7ζ7ζ7ζζζζ4ζ4ζ4ζ5ζ5ζ5ζ8ζ8ζ8ζ2ζ2ζ21−1+i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-11−i321+i321−i321+i321−i321+i32−ζ7−ζ7−ζ7−ζ−ζ−ζ−ζ4−ζ4−ζ4−ζ5−ζ5−ζ5−ζ8−ζ8−ζ8−ζ2−ζ2−ζ2ζ7ζζ4ζ5ζ8ζ2
χ13111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32ζ2ζ2ζ2ζ8ζ8ζ8ζ5ζ5ζ5ζ4ζ4ζ4ζζζζ7ζ7ζ71−1−i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32ζ2ζ2ζ2ζ8ζ8ζ8ζ5ζ5ζ5ζ4ζ4ζ4ζζζζ7ζ7ζ7ζ2ζ8ζ5ζ4ζζ7
χ14111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32ζ5ζ5ζ5ζ2ζ2ζ2ζ8ζ8ζ8ζζζζ7ζ7ζ7ζ4ζ4ζ41−1−i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32ζ5ζ5ζ5ζ2ζ2ζ2ζ8ζ8ζ8ζζζζ7ζ7ζ7ζ4ζ4ζ4ζ5ζ2ζ8ζζ7ζ4
χ15111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32ζ8ζ8ζ8ζ5ζ5ζ5ζ2ζ2ζ2ζ7ζ7ζ7ζ4ζ4ζ4ζζζ1−1−i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32ζ8ζ8ζ8ζ5ζ5ζ5ζ2ζ2ζ2ζ7ζ7ζ7ζ4ζ4ζ4ζζζζ8ζ5ζ2ζ7ζ4ζ
χ16111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32-1-1-11+i321−i321+i321−i321+i321−i32ζ2ζ2ζ2ζ8ζ8ζ8ζ5ζ5ζ5ζ4ζ4ζ4ζζζζ7ζ7ζ71−1−i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-11+i321−i321+i321−i321+i321−i32−ζ2−ζ2−ζ2−ζ8−ζ8−ζ8−ζ5−ζ5−ζ5−ζ4−ζ4−ζ4−ζ−ζ−ζ−ζ7−ζ7−ζ7ζ2ζ8ζ5ζ4ζζ7
χ17111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32-1-1-11+i321−i321+i321−i321+i321−i32ζ5ζ5ζ5ζ2ζ2ζ2ζ8ζ8ζ8ζζζζ7ζ7ζ7ζ4ζ4ζ41−1−i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-11+i321−i321+i321−i321+i321−i32−ζ5−ζ5−ζ5−ζ2−ζ2−ζ2−ζ8−ζ8−ζ8−ζ−ζ−ζ−ζ7−ζ7−ζ7−ζ4−ζ4−ζ4ζ5ζ2ζ8ζζ7ζ4
χ18111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32-1-1-11+i321−i321+i321−i321+i321−i32ζ8ζ8ζ8ζ5ζ5ζ5ζ2ζ2ζ2ζ7ζ7ζ7ζ4ζ4ζ4ζζζ1−1−i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-11+i321−i321+i321−i321+i321−i32−ζ8−ζ8−ζ8−ζ5−ζ5−ζ5−ζ2−ζ2−ζ2−ζ7−ζ7−ζ7−ζ4−ζ4−ζ4−ζ−ζ−ζζ8ζ5ζ2ζ7ζ4ζ
χ19222222222222222222222000000000222222222222222222-1-1-1222-1-1-1-1-1-1-1-1-1000000000000000000000000000-1-1-1-1-1-1
χ20222222222222222222222000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3-1-1-1222-1-1-1-1-1-1-1-1-10000000000000000000000000001−i321−i321−i321+i321+i321+i32
χ21222222222222222222222000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3-1-1-1222-1-1-1-1-1-1-1-1-10000000000000000000000000001+i321+i321+i321−i321−i321−i32
χ22222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i32−1+i3−1−i30000000002ζ2ζ2ζ2ζ42ζ42ζ42ζ72ζ72ζ72ζ22ζ22ζ22ζ52ζ52ζ52ζ82ζ82ζ8-11−i321+i322−1+i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32000000000000000000000000000−ζ−ζ4−ζ7−ζ2−ζ5−ζ8
χ23222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i32−1+i3−1−i30000000002ζ42ζ42ζ42ζ72ζ72ζ72ζ2ζ2ζ2ζ82ζ82ζ82ζ22ζ22ζ22ζ52ζ52ζ5-11−i321+i322−1+i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32000000000000000000000000000−ζ4−ζ7−ζ−ζ8−ζ2−ζ5
χ24222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i32−1+i3−1−i30000000002ζ72ζ72ζ72ζ2ζ2ζ2ζ42ζ42ζ42ζ52ζ52ζ52ζ82ζ82ζ82ζ22ζ22ζ2-11−i321+i322−1+i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32000000000000000000000000000−ζ7−ζ−ζ4−ζ5−ζ8−ζ2
χ25222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i32−1−i3−1+i30000000002ζ22ζ22ζ22ζ82ζ82ζ82ζ52ζ52ζ52ζ42ζ42ζ42ζ2ζ2ζ2ζ72ζ72ζ7-11+i321−i322−1−i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32000000000000000000000000000−ζ2−ζ8−ζ5−ζ4−ζ−ζ7
χ26222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i32−1−i3−1+i30000000002ζ52ζ52ζ52ζ22ζ22ζ22ζ82ζ82ζ82ζ2ζ2ζ2ζ72ζ72ζ72ζ42ζ42ζ4-11+i321−i322−1−i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32000000000000000000000000000−ζ5−ζ2−ζ8−ζ−ζ7−ζ4
χ27222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i32−1−i3−1+i30000000002ζ82ζ82ζ82ζ52ζ52ζ52ζ22ζ22ζ22ζ72ζ72ζ72ζ42ζ42ζ42ζ2ζ2ζ-11+i321−i322−1−i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32000000000000000000000000000−ζ8−ζ5−ζ2−ζ7−ζ4−ζ
χ28333333333-1-1-1-1-1-1-1-1-1333333333333000000000000000000333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ29333333333-1-1-1-1-1-1-1-1-1333-3-3-3-3-3-3-3-3-3000000000000000000333-1-1-1-1-1-1-1-1-1-1-1-1111111111000000000000000000000000
χ30333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-1-1-11−i321+i321−i321+i321−i321+i323−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i320000000000000000003−3+3i32−3−3i32-11−i321+i32-1-1-11−i321−i321−i321+i321+i321+i32-1-1-11−i321+i321−i321+i321−i321+i32000000000000000000000000
χ31333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-1-1-11−i321+i321−i321+i321−i321+i323−3+3i32−3−3i32-3-3-33−3i323+3i323−3i323+3i323−3i323+3i320000000000000000003−3+3i32−3−3i32-11−i321+i32-1-1-11−i321−i321−i321+i321+i321+i32111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32000000000000000000000000
χ32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-1-1-11+i321−i321+i321−i321+i321−i323−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i320000000000000000003−3−3i32−3+3i32-11+i321−i32-1-1-11+i321+i321+i321−i321−i321−i32-1-1-11+i321−i321+i321−i321+i321−i32000000000000000000000000
χ33333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-1-1-11+i321−i321+i321−i321+i321−i323−3−3i32−3+3i32-3-3-33+3i323−3i323+3i323−3i323+3i323−3i320000000000000000003−3−3i32−3+3i32-11+i321−i32-1-1-11+i321+i321+i321−i321−i321−i32111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32000000000000000000000000
χ343−3+3i32−3−3i3233−3+3i32−3−3i32−3−3i32−3+3i323−3+3i32−3−3i3233−3+3i32−3−3i32−3−3i32−3+3i320001−1+i32−1−i3211−1+i32−1−i32−1−i32−1+i322ζ+ζ4−ζ+ζ4−ζ−2ζ42ζ+ζ4−ζ+ζ4−ζ−2ζ42ζ+ζ4−ζ+ζ4−ζ−2ζ4ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5−2ζ2−ζ50000000000000001−1+i32−1−i3211−1+i32−1−i32−1−i32−1+i32ζζ4ζ7ζζ4ζ7ζζ4ζ7ζ2ζ5ζ8ζ2ζ5ζ8ζ2ζ5ζ8000000
χ353−3+3i32−3−3i3233−3+3i32−3−3i32−3−3i32−3+3i323−3+3i32−3−3i3233−3+3i32−3−3i32−3−3i32−3+3i320001−1+i32−1−i3211−1+i32−1−i32−1−i32−1+i32−ζ+ζ4−ζ−2ζ42ζ+ζ4−ζ+ζ4−ζ−2ζ42ζ+ζ4−ζ+ζ4−ζ−2ζ42ζ+ζ4ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5ζ2+2ζ50000000000000001−1+i32−1−i3211−1+i32−1−i32−1−i32−1+i32ζ4ζ7ζζ4ζ7ζζ4ζ7ζζ8ζ2ζ5ζ8ζ2ζ5ζ8ζ2ζ5000000
χ363−3+3i32−3−3i3233−3+3i32−3−3i32−3−3i32−3+3i323−3+3i32−3−3i3233−3+3i32−3−3i32−3−3i32−3+3i320001−1+i32−1−i3211−1+i32−1−i32−1−i32−1+i32−ζ−2ζ42ζ+ζ4−ζ+ζ4−ζ−2ζ42ζ+ζ4−ζ+ζ4−ζ−2ζ42ζ+ζ4−ζ+ζ4−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5ζ2−ζ50000000000000001−1+i32−1−i3211−1+i32−1−i32−1−i32−1+i32ζ7ζζ4ζ7ζζ4ζ7ζζ4ζ5ζ8ζ2ζ5ζ8ζ2ζ5ζ8ζ2000000
χ373−3+3i32−3−3i3233−3+3i32−3−3i32−3−3i32−3+3i323−3+3i32−3−3i3233−3+3i32−3−3i32−3−3i32−3+3i32000-11−i321+i32-1-11−i321+i321+i321−i322ζ+ζ4−ζ+ζ4−ζ−2ζ42ζ+ζ4−ζ+ζ4−ζ−2ζ42ζ+ζ4−ζ+ζ4−ζ−2ζ4ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5000000000000000-11−i321+i32-1-11−i321+i321+i321−i32−ζ−ζ4−ζ7−ζ−ζ4−ζ7−ζ−ζ4−ζ7−ζ2−ζ5−ζ8−ζ2−ζ5−ζ8−ζ2−ζ5−ζ8000000
χ383−3+3i32−3−3i3233−3+3i32−3−3i32−3−3i32−3+3i323−3+3i32−3−3i3233−3+3i32−3−3i32−3−3i32−3+3i32000-11−i321+i32-1-11−i321+i321+i321−i32−ζ+ζ4−ζ−2ζ42ζ+ζ4−ζ+ζ4−ζ−2ζ42ζ+ζ4−ζ+ζ4−ζ−2ζ42ζ+ζ4ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5000000000000000-11−i321+i32-1-11−i321+i321+i321−i32−ζ4−ζ7−ζ−ζ4−ζ7−ζ−ζ4−ζ7−ζ−ζ8−ζ2−ζ5−ζ8−ζ2−ζ5−ζ8−ζ2−ζ5000000
χ393−3+3i32−3−3i3233−3+3i32−3−3i32−3−3i32−3+3i323−3+3i32−3−3i3233−3+3i32−3−3i32−3−3i32−3+3i32000-11−i321+i32-1-11−i321+i321+i321−i32−ζ−2ζ42ζ+ζ4−ζ+ζ4−ζ−2ζ42ζ+ζ4−ζ+ζ4−ζ−2ζ42ζ+ζ4−ζ+ζ4−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5000000000000000-11−i321+i32-1-11−i321+i321+i321−i32−ζ7−ζ−ζ4−ζ7−ζ−ζ4−ζ7−ζ−ζ4−ζ5−ζ8−ζ2−ζ5−ζ8−ζ2−ζ5−ζ8−ζ2000000
χ403−3+3i32−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32330001−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32112ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−2ζ−ζ4ζ+2ζ4ζ−ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ40000000000000001−1+i32−1−i32−1+i32−1−i32−1−i32−1+i3211ζ2ζ5ζ8ζ5ζ8ζ2ζ8ζ2ζ5ζ4ζ7ζζ7ζζ4ζζ4ζ7000000
χ413−3+3i32−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32330001−1+i32−1−i32−1+i32−1−i32−1−i32−1+i3211−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5ζ+2ζ4ζ−ζ4−2ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ40000000000000001−1+i32−1−i32−1+i32−1−i32−1−i32−1+i3211ζ5ζ8ζ2ζ8ζ2ζ5ζ2ζ5ζ8ζζ4ζ7ζ4ζ7ζζ7ζζ4000000
χ423−3+3i32−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32330001−1+i32−1−i32−1+i32−1−i32−1−i32−1+i3211−ζ2−2ζ52ζ2+ζ5−ζ2+ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ40000000000000001−1+i32−1−i32−1+i32−1−i32−1−i32−1+i3211ζ8ζ2ζ5ζ2ζ5ζ8ζ5ζ8ζ2ζ7ζζ4ζζ4ζ7ζ4ζ7ζ000000
χ433−3+3i32−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3−3i32−3+3i3233000-11−i321+i321−i321+i321+i321−i32-1-12ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−2ζ−ζ4ζ+2ζ4ζ−ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4000000000000000-11−i321+i321−i321+i321+i321−i32-1-1−ζ2−ζ5−ζ8−ζ5−ζ8−ζ2−ζ8−ζ2−ζ5−ζ4−ζ7−ζ−ζ7−ζ−ζ4−ζ−ζ4−ζ7000000
χ443−3+3i32−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3−3i32−3+3i3233000-11−i321+i321−i321+i321+i321−i32-1-1−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5ζ+2ζ4ζ−ζ4−2ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4000000000000000-11−i321+i321−i321+i321+i321−i32-1-1−ζ5−ζ8−ζ2−ζ8−ζ2−ζ5−ζ2−ζ5−ζ8−ζ−ζ4−ζ7−ζ4−ζ7−ζ−ζ7−ζ−ζ4000000
χ453−3+3i32−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3−3i32−3+3i3233000-11−i321+i321−i321+i321+i321−i32-1-1−ζ2−2ζ52ζ2+ζ5−ζ2+ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4000000000000000-11−i321+i321−i321+i321+i321−i32-1-1−ζ8−ζ2−ζ5−ζ2−ζ5−ζ8−ζ5−ζ8−ζ2−ζ7−ζ−ζ4−ζ−ζ4−ζ7−ζ4−ζ7−ζ000000
χ463−3+3i32−3−3i32−3−3i32−3+3i3233−3+3i32−3−3i323−3+3i32−3−3i32−3−3i32−3+3i3233−3+3i32−3−3i320001−1+i32−1−i32−1−i32−1+i3211−1+i32−1−i323+i32−3+i32−i3−i33+i32−3+i32−3+i32−i33+i32i33−i32−3−i323−i32−3−i32i3−3−i32i33−i320000000000000001−1+i32−1−i32−1−i32−1+i3211−1+i32−1−i321−1+i32−1−i32−1−i321−1+i32−1+i32−1−i3211−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321000000
χ473−3+3i32−3−3i32−3−3i32−3+3i3233−3+3i32−3−3i323−3+3i32−3−3i32−3−3i32−3+3i3233−3+3i32−3−3i320001−1+i32−1−i32−1−i32−1+i3211−1+i32−1−i32−3+i32−i33+i323+i32−3+i32−i3−i33+i32−3+i323−i32−3−i32i3−3−i32i33−i32i33−i32−3−i320000000000000001−1+i32−1−i32−1−i32−1+i3211−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1+i32−1−i3211−1+i32−1−i32000000
χ483−3+3i32−3−3i32−3−3i32−3+3i3233−3+3i32−3−3i323−3+3i32−3−3i32−3−3i32−3+3i3233−3+3i32−3−3i320001−1+i32−1−i32−1−i32−1+i3211−1+i32−1−i32−i33+i32−3+i32−3+i32−i33+i323+i32−3+i32−i3−3−i32i33−i32i33−i32−3−i323−i32−3−i32i30000000000000001−1+i32−1−i32−1−i32−1+i3211−1+i32−1−i32−1−i321−1+i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1−i321−1+i32000000
χ493−3+3i32−3−3i32−3−3i32−3+3i3233−3+3i32−3−3i323−3+3i32−3−3i32−3−3i32−3+3i3233−3+3i32−3−3i32000-11−i321+i321+i321−i32-1-11−i321+i323+i32−3+i32−i3−i33+i32−3+i32−3+i32−i33+i32i33−i32−3−i323−i32−3−i32i3−3−i32i33−i32000000000000000-11−i321+i321+i321−i32-1-11−i321+i32-11−i321+i321+i32-11−i321−i321+i32-1-11−i321+i321+i32-11−i321−i321+i32-1000000
χ503−3+3i32−3−3i32−3−3i32−3+3i3233−3+3i32−3−3i323−3+3i32−3−3i32−3−3i32−3+3i3233−3+3i32−3−3i32000-11−i321+i321+i321−i32-1-11−i321+i32−3+i32−i33+i323+i32−3+i32−i3−i33+i32−3+i323−i32−3−i32i3−3−i32i33−i32i33−i32−3−i32000000000000000-11−i321+i321+i321−i32-1-11−i321+i321−i321+i32-1-11−i321+i321+i32-11−i321+i32-11−i321−i321+i32-1-11−i321+i32000000
χ513−3+3i32−3−3i32−3−3i32−3+3i3233−3+3i32−3−3i323−3+3i32−3−3i32−3−3i32−3+3i3233−3+3i32−3−3i32000-11−i321+i321+i321−i32-1-11−i321+i32−i33+i32−3+i32−3+i32−i33+i323+i32−3+i32−i3−3−i32i33−i32i33−i32−3−i323−i32−3−i32i3000000000000000-11−i321+i321+i321−i32-1-11−i321+i321+i32-11−i321−i321+i32-1-11−i321+i321−i321+i32-1-11−i321+i321+i32-11−i32000000
χ523−3−3i32−3+3i3233−3−3i32−3+3i32−3+3i32−3−3i323−3−3i32−3+3i3233−3−3i32−3+3i32−3+3i32−3−3i320001−1−i32−1+i3211−1−i32−1+i32−1+i32−1−i32ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5−ζ−2ζ42ζ+ζ4−ζ+ζ4−ζ−2ζ42ζ+ζ4−ζ+ζ4−ζ−2ζ42ζ+ζ4−ζ+ζ40000000000000001−1−i32−1+i3211−1−i32−1+i32−1+i32−1−i32ζ5ζ2ζ8ζ5ζ2ζ8ζ5ζ2ζ8ζζ7ζ4ζζ7ζ4ζζ7ζ4000000
χ533−3−3i32−3+3i3233−3−3i32−3+3i32−3+3i32−3−3i323−3−3i32−3+3i3233−3−3i32−3+3i32−3+3i32−3−3i320001−1−i32−1+i3211−1−i32−1+i32−1+i32−1−i32ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5ζ2+2ζ52ζ+ζ4−ζ+ζ4−ζ−2ζ42ζ+ζ4−ζ+ζ4−ζ−2ζ42ζ+ζ4−ζ+ζ4−ζ−2ζ40000000000000001−1−i32−1+i3211−1−i32−1+i32−1+i32−1−i32ζ2ζ8ζ5ζ2ζ8ζ5ζ2ζ8ζ5ζ4ζζ7ζ4ζζ7ζ4ζζ7000000
χ543−3−3i32−3+3i3233−3−3i32−3+3i32−3+3i32−3−3i323−3−3i32−3+3i3233−3−3i32−3+3i32−3+3i32−3−3i320001−1−i32−1+i3211−1−i32−1+i32−1+i32−1−i32−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5−ζ+ζ4−ζ−2ζ42ζ+ζ4−ζ+ζ4−ζ−2ζ42ζ+ζ4−ζ+ζ4−ζ−2ζ42ζ+ζ40000000000000001−1−i32−1+i3211−1−i32−1+i32−1+i32−1−i32ζ8ζ5ζ2ζ8ζ5ζ2ζ8ζ5ζ2ζ7ζ4ζζ7ζ4ζζ7ζ4ζ000000
χ553−3−3i32−3+3i3233−3−3i32−3+3i32−3+3i32−3−3i323−3−3i32−3+3i3233−3−3i32−3+3i32−3+3i32−3−3i32000-11+i321−i32-1-11+i321−i321−i321+i32ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5−ζ−2ζ42ζ+ζ4−ζ+ζ4−ζ−2ζ42ζ+ζ4−ζ+ζ4−ζ−2ζ42ζ+ζ4−ζ+ζ4000000000000000-11+i321−i32-1-11+i321−i321−i321+i32−ζ5−ζ2−ζ8−ζ5−ζ2−ζ8−ζ5−ζ2−ζ8−ζ−ζ7−ζ4−ζ−ζ7−ζ4−ζ−ζ7−ζ4000000
χ563−3−3i32−3+3i3233−3−3i32−3+3i32−3+3i32−3−3i323−3−3i32−3+3i3233−3−3i32−3+3i32−3+3i32−3−3i32000-11+i321−i32-1-11+i321−i321−i321+i32ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5ζ2+2ζ52ζ+ζ4−ζ+ζ4−ζ−2ζ42ζ+ζ4−ζ+ζ4−ζ−2ζ42ζ+ζ4−ζ+ζ4−ζ−2ζ4000000000000000-11+i321−i32-1-11+i321−i321−i321+i32−ζ2−ζ8−ζ5−ζ2−ζ8−ζ5−ζ2−ζ8−ζ5−ζ4−ζ−ζ7−ζ4−ζ−ζ7−ζ4−ζ−ζ7000000
χ573−3−3i32−3+3i3233−3−3i32−3+3i32−3+3i32−3−3i323−3−3i32−3+3i3233−3−3i32−3+3i32−3+3i32−3−3i32000-11+i321−i32-1-11+i321−i321−i321+i32−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5−ζ+ζ4−ζ−2ζ42ζ+ζ4−ζ+ζ4−ζ−2ζ42ζ+ζ4−ζ+ζ4−ζ−2ζ42ζ+ζ4000000000000000-11+i321−i32-1-11+i321−i321−i321+i32−ζ8−ζ5−ζ2−ζ8−ζ5−ζ2−ζ8−ζ5−ζ2−ζ7−ζ4−ζ−ζ7−ζ4−ζ−ζ7−ζ4−ζ000000
χ583−3−3i32−3+3i32−3+3i32−3−3i3233−3−3i32−3+3i323−3−3i32−3+3i32−3+3i32−3−3i3233−3−3i32−3+3i320001−1−i32−1+i32−1+i32−1−i3211−1−i32−1+i32i33−i32−3−i32−3−i32i33−i323−i32−3−i32i3−3+i32−i33+i32−i33+i32−3+i323+i32−3+i32−i30000000000000001−1−i32−1+i32−1+i32−1−i3211−1−i32−1+i32−1+i321−1−i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1+i321−1−i32000000
χ593−3−3i32−3+3i32−3+3i32−3−3i3233−3−3i32−3+3i323−3−3i32−3+3i32−3+3i32−3−3i3233−3−3i32−3+3i320001−1−i32−1+i32−1+i32−1−i3211−1−i32−1+i323−i32−3−i32i3i33−i32−3−i32−3−i32i33−i32−i33+i32−3+i323+i32−3+i32−i3−3+i32−i33+i320000000000000001−1−i32−1+i32−1+i32−1−i3211−1−i32−1+i321−1−i32−1+i32−1+i321−1−i32−1−i32−1+i3211−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321000000
χ603−3−3i32−3+3i32−3+3i32−3−3i3233−3−3i32−3+3i323−3−3i32−3+3i32−3+3i32−3−3i3233−3−3i32−3+3i320001−1−i32−1+i32−1+i32−1−i3211−1−i32−1+i32−3−i32i33−i323−i32−3−i32i3i33−i32−3−i323+i32−3+i32−i3−3+i32−i33+i32−i33+i32−3+i320000000000000001−1−i32−1+i32−1+i32−1−i3211−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1−i32−1+i3211−1−i32−1+i32000000
χ613−3−3i32−3+3i32−3+3i32−3−3i3233−3−3i32−3+3i323−3−3i32−3+3i32−3+3i32−3−3i3233−3−3i32−3+3i32000-11+i321−i321−i321+i32-1-11+i321−i32i33−i32−3−i32−3−i32i33−i323−i32−3−i32i3−3+i32−i33+i32−i33+i32−3+i323+i32−3+i32−i3000000000000000-11+i321−i321−i321+i32-1-11+i321−i321−i32-11+i321+i321−i32-1-11+i321−i321+i321−i32-1-11+i321−i321−i32-11+i32000000
χ623−3−3i32−3+3i32−3+3i32−3−3i3233−3−3i32−3+3i323−3−3i32−3+3i32−3+3i32−3−3i3233−3−3i32−3+3i32000-11+i321−i321−i321+i32-1-11+i321−i323−i32−3−i32i3i33−i32−3−i32−3−i32i33−i32−i33+i32−3+i323+i32−3+i32−i3−3+i32−i33+i32000000000000000-11+i321−i321−i321+i32-1-11+i321−i32-11+i321−i321−i32-11+i321+i321−i32-1-11+i321−i321−i32-11+i321+i321−i32-1000000
χ633−3−3i32−3+3i32−3+3i32−3−3i3233−3−3i32−3+3i323−3−3i32−3+3i32−3+3i32−3−3i3233−3−3i32−3+3i32000-11+i321−i321−i321+i32-1-11+i321−i32−3−i32i33−i323−i32−3−i32i3i33−i32−3−i323+i32−3+i32−i3−3+i32−i33+i32−i33+i32−3+i32000000000000000-11+i321−i321−i321+i32-1-11+i321−i321+i321−i32-1-11+i321−i321−i32-11+i321−i32-11+i321+i321−i32-1-11+i321−i32000000
χ643−3−3i32−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32330001−1−i32−1+i32−1−i32−1+i32−1+i32−1−i3211ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ50000000000000001−1−i32−1+i32−1−i32−1+i32−1+i32−1−i3211ζ4ζζ7ζζ7ζ4ζ7ζ4ζζ8ζ5ζ2ζ5ζ2ζ8ζ2ζ8ζ5000000
χ653−3−3i32−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32330001−1−i32−1+i32−1−i32−1+i32−1+i32−1−i3211ζ−ζ4−2ζ−ζ4ζ+2ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ50000000000000001−1−i32−1+i32−1−i32−1+i32−1+i32−1−i3211ζζ7ζ4ζ7ζ4ζζ4ζζ7ζ2ζ8ζ5ζ8ζ5ζ2ζ5ζ2ζ8000000
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χ969−9−9i32−9+9i32−9−9i32−9+9i32−9+9i32−9−9i3299-33+3i323−3i323+3i323−3i323−3i323+3i32-3-3000-33+3i323−3i323+3i323−3i323−3i323+3i32-3-30000000000000000000000000000000001−1−i32−1+i32−1−i32−1+i32−1+i32−1−i3211000000000000000000000000

Here ζ is a primitive root of unity of order 9 (ζ9 = 1); i = ζ2.