Finite Group Databasebeta

← Group #14515850

Character table — Group #14515850

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103
size1111111111111111116666666669999999999999999181818181818181818181818181818181818181818181818363636363636363636363636363636363636363636363636363636363636363636363636
order123333333366666666412121212121212123366999999181818181818121212121212363636363636363636363636363636363636999999999999999999181818181818181818181818181818181818
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111−1+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+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ31111111111111111111111111111111111111111111111111111111111111111111−1−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−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ41111111111111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+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−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−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−i32
χ51111111111111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+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−i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32
χ61111111111111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+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+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111
χ71111111111111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−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+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+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+i32
χ81111111111111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−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−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111
χ91111111111111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−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+i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32
χ102-222222222-2-2-2-2-2-2-2-200000000022-2-2222222-2-2-2-2-2-2000000000000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111
χ112-222222222-2-2-2-2-2-2-2-200000000022-2-2222222-2-2-2-2-2-20000000000000000000000001−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+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ122-222222222-2-2-2-2-2-2-2-200000000022-2-2222222-2-2-2-2-2-20000000000000000000000001+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−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ132-222222222-2-2-2-2-2-2-2-200000000022-2-2−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31−i31−i31−i31+i31+i31+i3000000000000000000000000-1-1-1-1-1-11−i321−i321−i321+i321+i321+i321−i321−i321−i321+i321+i321+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ142-222222222-2-2-2-2-2-2-2-200000000022-2-2−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31−i31−i31−i31+i31+i31+i30000000000000000000000001−i321−i321−i321+i321+i321+i321+i321+i321+i32-1-1-1-1-1-11−i321−i321−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32
χ152-222222222-2-2-2-2-2-2-2-200000000022-2-2−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31−i31−i31−i31+i31+i31+i30000000000000000000000001+i321+i321+i321−i321−i321−i32-1-1-11−i321−i321−i321+i321+i321+i32-1-1-1−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111
χ162-222222222-2-2-2-2-2-2-2-200000000022-2-2−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i31+i31+i31−i31−i31−i3000000000000000000000000-1-1-1-1-1-11+i321+i321+i321−i321−i321−i321+i321+i321+i321−i321−i321−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ172-222222222-2-2-2-2-2-2-2-200000000022-2-2−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i31+i31+i31−i31−i31−i30000000000000000000000001−i321−i321−i321+i321+i321+i32-1-1-11+i321+i321+i321−i321−i321−i32-1-1-1−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111
χ182-222222222-2-2-2-2-2-2-2-200000000022-2-2−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i31+i31+i31−i31−i31−i30000000000000000000000001+i321+i321+i321−i321−i321−i321−i321−i321−i32-1-1-1-1-1-11+i321+i321+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32
χ19333333333333333333333333333−3+3i32−3−3i32−3+3i32−3−3i32000000000000−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32000000000000000000000000000000000000000000000000000000
χ20333333333333333333333333333−3−3i32−3+3i32−3−3i32−3+3i32000000000000−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32000000000000000000000000000000000000000000000000000000
χ21333333333333333333-1-1-1-1-1-1-1-1-13333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ22333333333333333333-1-1-1-1-1-1-1-1-13333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32000000000000000000000000000000000000
χ23333333333333333333-1-1-1-1-1-1-1-1-13333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32000000000000000000000000000000000000
χ24333333333333333333-1-1-1-1-1-1-1-1-1−3+3i32−3−3i32−3+3i32−3−3i320000000000001−i321−i321−i321+i321+i321+i32222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3000000000000000000000000000000000000
χ25333333333333333333-1-1-1-1-1-1-1-1-1−3+3i32−3−3i32−3+3i32−3−3i320000000000001−i321−i321−i321+i321+i321+i32−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222−1−i3−1−i3−1−i3222−1+i3−1+i3−1+i3000000000000000000000000000000000000
χ26333333333333333333-1-1-1-1-1-1-1-1-1−3+3i32−3−3i32−3+3i32−3−3i320000000000001−i321−i321−i321+i321+i321+i32−1−i3−1−i3−1−i3222−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222000000000000000000000000000000000000
χ27333333333333333333-1-1-1-1-1-1-1-1-1−3−3i32−3+3i32−3−3i32−3+3i320000000000001+i321+i321+i321−i321−i321−i32222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3000000000000000000000000000000000000
χ28333333333333333333-1-1-1-1-1-1-1-1-1−3−3i32−3+3i32−3−3i32−3+3i320000000000001+i321+i321+i321−i321−i321−i32−1+i3−1+i3−1+i3222−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222000000000000000000000000000000000000
χ29333333333333333333-1-1-1-1-1-1-1-1-1−3−3i32−3+3i32−3−3i32−3+3i320000000000001+i321+i321+i321−i321−i321−i32−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222−1+i3−1+i3−1+i3222−1−i3−1−i3−1−i3000000000000000000000000000000000000
χ303333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i320000ζ+2ζ4ζ−ζ4−2ζ−ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5ζ+2ζ4ζ−ζ4−2ζ−ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5000000ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5000000000000000000000000000000000000
χ313333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i320000ζ−ζ4−2ζ−ζ4ζ+2ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5ζ−ζ4−2ζ−ζ4ζ+2ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5000000ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5000000000000000000000000000000000000
χ323333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i320000−2ζ−ζ4ζ+2ζ4ζ−ζ4−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−2ζ−ζ4ζ+2ζ4ζ−ζ4−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5000000−2ζ−ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5000000000000000000000000000000000000
χ333333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-1-1-11−i321−i321−i321+i321+i321+i320000ζ+2ζ4ζ−ζ4−2ζ−ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5ζ+2ζ4ζ−ζ4−2ζ−ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ52−1+i3−1−i32−1+i3−1−i3−ζ−ζ7−ζ4−ζ−ζ7−ζ4ζ−2ζ4−3ζ−ζ42ζ+3ζ4−ζ5−ζ8−ζ2−2ζ2+ζ5−ζ2−3ζ53ζ2+2ζ5−ζ5−ζ8−ζ2000000000000000000000000000000000000
χ343333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-1-1-11−i321−i321−i321+i321+i321+i320000ζ+2ζ4ζ−ζ4−2ζ−ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5ζ+2ζ4ζ−ζ4−2ζ−ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−1+i3−1−i32−1−i32−1+i3ζ−2ζ4−3ζ−ζ42ζ+3ζ4−ζ−ζ7−ζ4−ζ−ζ7−ζ4−2ζ2+ζ5−ζ2−3ζ53ζ2+2ζ5−ζ5−ζ8−ζ2−ζ5−ζ8−ζ2000000000000000000000000000000000000
χ353333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-1-1-11−i321−i321−i321+i321+i321+i320000ζ+2ζ4ζ−ζ4−2ζ−ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5ζ+2ζ4ζ−ζ4−2ζ−ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−1−i32−1+i3−1+i3−1−i32−ζ−ζ7−ζ4ζ−2ζ4−3ζ−ζ42ζ+3ζ4−ζ−ζ7−ζ4−ζ5−ζ8−ζ2−ζ5−ζ8−ζ2−2ζ2+ζ5−ζ2−3ζ53ζ2+2ζ5000000000000000000000000000000000000
χ363333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-1-1-11−i321−i321−i321+i321+i321+i320000ζ−ζ4−2ζ−ζ4ζ+2ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5ζ−ζ4−2ζ−ζ4ζ+2ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ52−1+i3−1−i32−1+i3−1−i3−ζ7−ζ4−ζ−ζ7−ζ4−ζ−3ζ−ζ42ζ+3ζ4ζ−2ζ4−ζ8−ζ2−ζ5−ζ2−3ζ53ζ2+2ζ5−2ζ2+ζ5−ζ8−ζ2−ζ5000000000000000000000000000000000000
χ373333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-1-1-11−i321−i321−i321+i321+i321+i320000ζ−ζ4−2ζ−ζ4ζ+2ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5ζ−ζ4−2ζ−ζ4ζ+2ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−1+i3−1−i32−1−i32−1+i3−3ζ−ζ42ζ+3ζ4ζ−2ζ4−ζ7−ζ4−ζ−ζ7−ζ4−ζ−ζ2−3ζ53ζ2+2ζ5−2ζ2+ζ5−ζ8−ζ2−ζ5−ζ8−ζ2−ζ5000000000000000000000000000000000000
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χ786-666−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3-6-63+3i33−3i33+3i33−3i33+3i33−3i30000000000000−2ζ2+2ζ5−2ζ2−4ζ54ζ2+2ζ5−4ζ−2ζ42ζ+4ζ42ζ−2ζ42ζ2−2ζ52ζ2+4ζ5−4ζ2−2ζ54ζ+2ζ4−2ζ−4ζ4−2ζ+2ζ4000000000000000000000000000000000000000000000000000000000000
χ796-666−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3-6-63+3i33−3i33+3i33−3i33+3i33−3i30000000000000−2ζ2−4ζ54ζ2+2ζ5−2ζ2+2ζ52ζ+4ζ42ζ−2ζ4−4ζ−2ζ42ζ2+4ζ5−4ζ2−2ζ52ζ2−2ζ5−2ζ−4ζ4−2ζ+2ζ44ζ+2ζ4000000000000000000000000000000000000000000000000000000000000
χ806-6−3+3i3−3−3i366−3+3i3−3−3i3−3−3i3−3+3i33−3i33+3i3-6-63−3i33+3i33+3i33−3i30000000000000000000000000000000000000000000000000ζ+2ζ4−2ζ−ζ4ζ−ζ42ζ2+ζ5−ζ2−2ζ5−ζ2+ζ5000000000000−ζ−2ζ42ζ+ζ4−ζ+ζ4000000−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5000000
χ816-6−3+3i3−3−3i366−3+3i3−3−3i3−3−3i3−3+3i33−3i33+3i3-6-63−3i33+3i33+3i33−3i30000000000000000000000000000000000000000000000000ζ−ζ4ζ+2ζ4−2ζ−ζ4−ζ2+ζ52ζ2+ζ5−ζ2−2ζ5000000000000−ζ+ζ4−ζ−2ζ42ζ+ζ4000000ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5000000
χ826-6−3+3i3−3−3i366−3+3i3−3−3i3−3−3i3−3+3i33−3i33+3i3-6-63−3i33+3i33+3i33−3i30000000000000000000000000000000000000000000000000−2ζ−ζ4ζ−ζ4ζ+2ζ4−ζ2−2ζ5−ζ2+ζ52ζ2+ζ50000000000002ζ+ζ4−ζ+ζ4−ζ−2ζ4000000ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5000000
χ836-6−3+3i3−3−3i3−3+3i3−3−3i3−3−3i3−3+3i3663−3i33+3i33−3i33+3i33+3i33−3i3-6-60000000000000000000000000000000000000000000000000000000000i3−3−i323−i323+i32−i3−3+i32000000000−i33+i32−3+i32000−3−i32i33−i32000
χ846-6−3+3i3−3−3i3−3+3i3−3−3i3−3−3i3−3+3i3663−3i33+3i33−3i33+3i33+3i33−3i3-6-600000000000000000000000000000000000000000000000000000000003−i32i3−3−i32−3+i323+i32−i3000000000−3+i32−i33+i320003−i32−3−i32i3000
χ856-6−3+3i3−3−3i3−3+3i3−3−3i3−3−3i3−3+3i3663−3i33+3i33−3i33+3i33+3i33−3i3-6-60000000000000000000000000000000000000000000000000000000000−3−i323−i32i3−i3−3+i323+i320000000003+i32−3+i32−i3000i33−i32−3−i32000
χ866-6−3+3i3−3−3i3−3−3i3−3+3i366−3+3i3−3−3i33−3i33+3i33+3i33−3i3-6-63−3i33+3i30000000000000000000000000000000000000000000000000000000ζ+2ζ4−2ζ−ζ4ζ−ζ40000002ζ2+ζ5−ζ2−2ζ5−ζ2+ζ5000−ζ−2ζ42ζ+ζ4−ζ+ζ4000000000−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5
χ876-6−3+3i3−3−3i3−3−3i3−3+3i366−3+3i3−3−3i33−3i33+3i33+3i33−3i3-6-63−3i33+3i30000000000000000000000000000000000000000000000000000000ζ−ζ4ζ+2ζ4−2ζ−ζ4000000−ζ2+ζ52ζ2+ζ5−ζ2−2ζ5000−ζ+ζ4−ζ−2ζ42ζ+ζ4000000000ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5
χ886-6−3+3i3−3−3i3−3−3i3−3+3i366−3+3i3−3−3i33−3i33+3i33+3i33−3i3-6-63−3i33+3i30000000000000000000000000000000000000000000000000000000−2ζ−ζ4ζ−ζ4ζ+2ζ4000000−ζ2−2ζ5−ζ2+ζ52ζ2+ζ50002ζ+ζ4−ζ+ζ4−ζ−2ζ4000000000ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5
χ896-6−3−3i3−3+3i366−3−3i3−3+3i3−3+3i3−3−3i33+3i33−3i3-6-63+3i33−3i33−3i33+3i300000000000000000000000000000000000000000000000002ζ2+ζ5−ζ2−2ζ5−ζ2+ζ5ζ−ζ4ζ+2ζ4−2ζ−ζ4000000000000−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5000000−ζ+ζ4−ζ−2ζ42ζ+ζ4000000
χ906-6−3−3i3−3+3i366−3−3i3−3+3i3−3+3i3−3−3i33+3i33−3i3-6-63+3i33−3i33−3i33+3i30000000000000000000000000000000000000000000000000−ζ2+ζ52ζ2+ζ5−ζ2−2ζ5−2ζ−ζ4ζ−ζ4ζ+2ζ4000000000000ζ2−ζ5−2ζ2−ζ5ζ2+2ζ50000002ζ+ζ4−ζ+ζ4−ζ−2ζ4000000
χ916-6−3−3i3−3+3i366−3−3i3−3+3i3−3+3i3−3−3i33+3i33−3i3-6-63+3i33−3i33−3i33+3i30000000000000000000000000000000000000000000000000−ζ2−2ζ5−ζ2+ζ52ζ2+ζ5ζ+2ζ4−2ζ−ζ4ζ−ζ4000000000000ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5000000−ζ−2ζ42ζ+ζ4−ζ+ζ4000000
χ926-6−3−3i3−3+3i3−3+3i3−3−3i366−3−3i3−3+3i33+3i33−3i33−3i33+3i3-6-63+3i33−3i300000000000000000000000000000000000000000000000000000002ζ2+ζ5−ζ2−2ζ5−ζ2+ζ5000000ζ−ζ4ζ+2ζ4−2ζ−ζ4000−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5000000000−ζ+ζ4−ζ−2ζ42ζ+ζ4
χ936-6−3−3i3−3+3i3−3+3i3−3−3i366−3−3i3−3+3i33+3i33−3i33−3i33+3i3-6-63+3i33−3i30000000000000000000000000000000000000000000000000000000−ζ2+ζ52ζ2+ζ5−ζ2−2ζ5000000−2ζ−ζ4ζ−ζ4ζ+2ζ4000ζ2−ζ5−2ζ2−ζ5ζ2+2ζ50000000002ζ+ζ4−ζ+ζ4−ζ−2ζ4
χ946-6−3−3i3−3+3i3−3+3i3−3−3i366−3−3i3−3+3i33+3i33−3i33−3i33+3i3-6-63+3i33−3i30000000000000000000000000000000000000000000000000000000−ζ2−2ζ5−ζ2+ζ52ζ2+ζ5000000ζ+2ζ4−2ζ−ζ4ζ−ζ4000ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5000000000−ζ−2ζ42ζ+ζ4−ζ+ζ4
χ956-6−3−3i3−3+3i3−3−3i3−3+3i3−3+3i3−3−3i3663+3i33−3i33+3i33−3i33−3i33+3i3-6-600000000000000000000000000000000000000000000000000000000003+i32−i3−3+i32−3−i323−i32i3000000000−3−i32i33−i320003+i32−3+i32−i3000
χ966-6−3−3i3−3+3i3−3−3i3−3+3i3−3+3i3−3−3i3663+3i33−3i33+3i33−3i33−3i33+3i3-6-60000000000000000000000000000000000000000000000000000000000−3+i323+i32−i3i3−3−i323−i320000000003−i32−3−i32i3000−i33+i32−3+i32000
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χ9899−9+9i32−9−9i3299−9+9i32−9−9i32−9−9i32−9+9i32−9+9i32−9−9i3299−9+9i32−9−9i32−9−9i32−9+9i32-33−3i323+3i32-33−3i323+3i32-33−3i323+3i320000000000000000000000000000000000000000000000000000000000000000000000000000
χ9999−9+9i32−9−9i32−9+9i32−9−9i32−9−9i32−9+9i3299−9+9i32−9−9i32−9+9i32−9−9i32−9−9i32−9+9i3299-33−3i323+3i323−3i323+3i32-33+3i32-33−3i320000000000000000000000000000000000000000000000000000000000000000000000000000
χ10099−9+9i32−9−9i32−9−9i32−9+9i3299−9+9i32−9−9i32−9+9i32−9−9i32−9−9i32−9+9i3299−9+9i32−9−9i32-33−3i323+3i323+3i32-33−3i323−3i323+3i32-30000000000000000000000000000000000000000000000000000000000000000000000000000
χ10199−9−9i32−9+9i3299−9−9i32−9+9i32−9+9i32−9−9i32−9−9i32−9+9i3299−9−9i32−9+9i32−9+9i32−9−9i32-33+3i323−3i32-33+3i323−3i32-33+3i323−3i320000000000000000000000000000000000000000000000000000000000000000000000000000
χ10299−9−9i32−9+9i32−9+9i32−9−9i3299−9−9i32−9+9i32−9−9i32−9+9i32−9+9i32−9−9i3299−9−9i32−9+9i32-33+3i323−3i323−3i32-33+3i323+3i323−3i32-30000000000000000000000000000000000000000000000000000000000000000000000000000
χ10399−9−9i32−9+9i32−9−9i32−9+9i32−9+9i32−9−9i3299−9−9i32−9+9i32−9−9i32−9+9i32−9+9i32−9−9i3299-33+3i323−3i323+3i323−3i32-33−3i32-33+3i320000000000000000000000000000000000000000000000000000000000000000000000000000

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