Finite Group Databasebeta

← Group #13049275

Character table — Group #13049275

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111111111333333333666666666666181818181818181818181818181818181818242424242424242424111111111333333333666666666666181818181818181818181818181818181818242424242424242424
order133999999266181818181818366699181818181818246612121818181818183636363636363339999992661818181818182661818181818186666181818181818181824661212181818181818363636363636666181818181818
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111
χ3111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111−1+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−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111−1+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−i32
χ4111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-1-11−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−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-1-11−i321−i321−i321+i321+i321+i321−i321−i321−i321+i321+i321+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ5111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111−1−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+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111−1−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+i32
χ6111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-1-11+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+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-1-11+i321+i321+i321−i321−i321−i321+i321+i321+i321−i321−i321−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ7222222222222222222222222222222000000000000000000-1-1-1-1-1-1-1-1-1222222222222222222222222222222000000000000000000-1-1-1-1-1-1-1-1-1
χ8222222222222222222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000002-1-12-1-12-1-1222222222222222222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000002-1-12-1-12-1-1
χ9222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-12-1-12-1-12-1222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-12-1-12-1-12-1
χ10222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-1-12-1-12-1-12222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-1-12-1-12-1-12
χ11222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32222−1+i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3000000000000000000-1-1-11−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−i32222−1+i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3000000000000000000-1-1-11−i321−i321−i321+i321+i321+i32
χ12222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-11−i321+i321−i321−i321−i321+i321+i321+i320000000000000000002-1-1−1+i31−i321−i32−1−i31+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−i3-1-1-1-11−i321+i321−i321−i321−i321+i321+i321+i320000000000000000002-1-1−1+i31−i321−i32−1−i31+i321+i32
χ13222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-11−i321+i321−i321−i321−i321+i321+i321+i32000000000000000000-12-11−i32−1+i31−i321+i32−1−i31+i32222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-11−i321+i321−i321−i321−i321+i321+i321+i32000000000000000000-12-11−i32−1+i31−i321+i32−1−i31+i32
χ14222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-11−i321+i321−i321−i321−i321+i321+i321+i32000000000000000000-1-121−i321−i32−1+i31+i321+i32−1−i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-11−i321+i321−i321−i321−i321+i321+i321+i32000000000000000000-1-121−i321−i32−1+i31+i321+i32−1−i3
χ15222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32222−1−i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3000000000000000000-1-1-11+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+i32222−1−i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3000000000000000000-1-1-11+i321+i321+i321−i321−i321−i32
χ16222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-11+i321−i321+i321+i321+i321−i321−i321−i320000000000000000002-1-1−1−i31+i321+i32−1+i31−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+i3-1-1-1-11+i321−i321+i321+i321+i321−i321−i321−i320000000000000000002-1-1−1−i31+i321+i32−1+i31−i321−i32
χ17222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-11+i321−i321+i321+i321+i321−i321−i321−i32000000000000000000-12-11+i32−1−i31+i321−i32−1+i31−i32222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-11+i321−i321+i321+i321+i321−i321−i321−i32000000000000000000-12-11+i32−1−i31+i321−i32−1+i31−i32
χ18222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-11+i321−i321+i321+i321+i321−i321−i321−i32000000000000000000-1-121+i321+i32−1−i31−i321−i32−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-11+i321−i321+i321+i321+i321−i321−i321−i32000000000000000000-1-121+i321+i32−1−i31−i321−i32−1+i3
χ19333333333-1-1-1-1-1-1-1-1-13-1-1-133-1-1-1-1-1-11-111-1-1111111-1-1-1-1-1-1000000000333333333-1-1-1-1-1-1-1-1-13-1-1-133-1-1-1-1-1-11-111-1-1111111-1-1-1-1-1-1000000000
χ20333333333-1-1-1-1-1-1-1-1-13-1-1-133-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1111111000000000333333333-1-1-1-1-1-1-1-1-13-1-1-133-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1111111000000000
χ21333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-1-1-11−i321−i321−i321+i321+i321+i323-1-1-1−3+3i32−3−3i321−i321−i321−i321+i321+i321+i321-111-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i32000000000333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-1-1-11−i321−i321−i321+i321+i321+i323-1-1-1−3+3i32−3−3i321−i321−i321−i321+i321+i321+i321-111-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i32000000000
χ22333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-1-1-11−i321−i321−i321+i321+i321+i323-1-1-1−3+3i32−3−3i321−i321−i321−i321+i321+i321+i32-11-1-1111−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32000000000333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-1-1-11−i321−i321−i321+i321+i321+i323-1-1-1−3+3i32−3−3i321−i321−i321−i321+i321+i321+i32-11-1-1111−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32000000000
χ23333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-1-1-11+i321+i321+i321−i321−i321−i323-1-1-1−3−3i32−3+3i321+i321+i321+i321−i321−i321−i321-111-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i32000000000333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-1-1-11+i321+i321+i321−i321−i321−i323-1-1-1−3−3i32−3+3i321+i321+i321+i321−i321−i321−i321-111-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i32000000000
χ24333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-1-1-11+i321+i321+i321−i321−i321−i323-1-1-1−3−3i32−3+3i321+i321+i321+i321−i321−i321−i32-11-1-1111+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32000000000333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-1-1-11+i321+i321+i321−i321−i321−i323-1-1-1−3−3i32−3+3i321+i321+i321+i321−i321−i321−i32-11-1-1111+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32000000000
χ253−3+3i32−3−3i323ζ3ζ43ζ73ζ23ζ53ζ83−3+3i32−3−3i323ζ3ζ43ζ73ζ23ζ53ζ800000000000011−1+i32−1−i32−1+i32−1−i32ζζ4ζ7ζ2ζ5ζ8ζζ4ζ7ζ2ζ5ζ80000000003−3+3i32−3−3i323ζ3ζ43ζ73ζ23ζ53ζ83−3+3i32−3−3i323ζ3ζ43ζ73ζ23ζ53ζ800000000000011−1+i32−1−i32−1+i32−1−i32ζζ4ζ7ζ2ζ5ζ8ζζ4ζ7ζ2ζ5ζ8000000000
χ263−3+3i32−3−3i323ζ3ζ43ζ73ζ23ζ53ζ83−3+3i32−3−3i323ζ3ζ43ζ73ζ23ζ53ζ8000000000000-1-11−i321+i321−i321+i32−ζ−ζ4−ζ7−ζ2−ζ5−ζ8−ζ−ζ4−ζ7−ζ2−ζ5−ζ80000000003−3+3i32−3−3i323ζ3ζ43ζ73ζ23ζ53ζ83−3+3i32−3−3i323ζ3ζ43ζ73ζ23ζ53ζ8000000000000-1-11−i321+i321−i321+i32−ζ−ζ4−ζ7−ζ2−ζ5−ζ8−ζ−ζ4−ζ7−ζ2−ζ5−ζ8000000000
χ273−3+3i32−3−3i323ζ3ζ43ζ73ζ23ζ53ζ8-11−i321+i32−ζ−ζ4−ζ7−ζ2−ζ5−ζ802−1+i3−1−i3002ζ2ζ42ζ72ζ22ζ52ζ81-1−1+i32−1−i321−i321+i32ζζ4ζ7ζ2ζ5ζ8−ζ−ζ4−ζ7−ζ2−ζ5−ζ80000000003−3+3i32−3−3i323ζ3ζ43ζ73ζ23ζ53ζ8-11−i321+i32−ζ−ζ4−ζ7−ζ2−ζ5−ζ802−1+i3−1−i3002ζ2ζ42ζ72ζ22ζ52ζ81-1−1+i32−1−i321−i321+i32ζζ4ζ7ζ2ζ5ζ8−ζ−ζ4−ζ7−ζ2−ζ5−ζ8000000000
χ283−3+3i32−3−3i323ζ3ζ43ζ73ζ23ζ53ζ8-11−i321+i32−ζ−ζ4−ζ7−ζ2−ζ5−ζ802−1+i3−1−i3002ζ2ζ42ζ72ζ22ζ52ζ8-111−i321+i32−1+i32−1−i32−ζ−ζ4−ζ7−ζ2−ζ5−ζ8ζζ4ζ7ζ2ζ5ζ80000000003−3+3i32−3−3i323ζ3ζ43ζ73ζ23ζ53ζ8-11−i321+i32−ζ−ζ4−ζ7−ζ2−ζ5−ζ802−1+i3−1−i3002ζ2ζ42ζ72ζ22ζ52ζ8-111−i321+i32−1+i32−1−i32−ζ−ζ4−ζ7−ζ2−ζ5−ζ8ζζ4ζ7ζ2ζ5ζ8000000000
χ293−3+3i32−3−3i323ζ43ζ73ζ3ζ83ζ23ζ53−3+3i32−3−3i323ζ43ζ73ζ3ζ83ζ23ζ500000000000011−1+i32−1−i32−1+i32−1−i32ζ4ζ7ζζ8ζ2ζ5ζ4ζ7ζζ8ζ2ζ50000000003−3+3i32−3−3i323ζ43ζ73ζ3ζ83ζ23ζ53−3+3i32−3−3i323ζ43ζ73ζ3ζ83ζ23ζ500000000000011−1+i32−1−i32−1+i32−1−i32ζ4ζ7ζζ8ζ2ζ5ζ4ζ7ζζ8ζ2ζ5000000000
χ303−3+3i32−3−3i323ζ43ζ73ζ3ζ83ζ23ζ53−3+3i32−3−3i323ζ43ζ73ζ3ζ83ζ23ζ5000000000000-1-11−i321+i321−i321+i32−ζ4−ζ7−ζ−ζ8−ζ2−ζ5−ζ4−ζ7−ζ−ζ8−ζ2−ζ50000000003−3+3i32−3−3i323ζ43ζ73ζ3ζ83ζ23ζ53−3+3i32−3−3i323ζ43ζ73ζ3ζ83ζ23ζ5000000000000-1-11−i321+i321−i321+i32−ζ4−ζ7−ζ−ζ8−ζ2−ζ5−ζ4−ζ7−ζ−ζ8−ζ2−ζ5000000000
χ313−3+3i32−3−3i323ζ43ζ73ζ3ζ83ζ23ζ5-11−i321+i32−ζ4−ζ7−ζ−ζ8−ζ2−ζ502−1+i3−1−i3002ζ42ζ72ζ2ζ82ζ22ζ51-1−1+i32−1−i321−i321+i32ζ4ζ7ζζ8ζ2ζ5−ζ4−ζ7−ζ−ζ8−ζ2−ζ50000000003−3+3i32−3−3i323ζ43ζ73ζ3ζ83ζ23ζ5-11−i321+i32−ζ4−ζ7−ζ−ζ8−ζ2−ζ502−1+i3−1−i3002ζ42ζ72ζ2ζ82ζ22ζ51-1−1+i32−1−i321−i321+i32ζ4ζ7ζζ8ζ2ζ5−ζ4−ζ7−ζ−ζ8−ζ2−ζ5000000000
χ323−3+3i32−3−3i323ζ43ζ73ζ3ζ83ζ23ζ5-11−i321+i32−ζ4−ζ7−ζ−ζ8−ζ2−ζ502−1+i3−1−i3002ζ42ζ72ζ2ζ82ζ22ζ5-111−i321+i32−1+i32−1−i32−ζ4−ζ7−ζ−ζ8−ζ2−ζ5ζ4ζ7ζζ8ζ2ζ50000000003−3+3i32−3−3i323ζ43ζ73ζ3ζ83ζ23ζ5-11−i321+i32−ζ4−ζ7−ζ−ζ8−ζ2−ζ502−1+i3−1−i3002ζ42ζ72ζ2ζ82ζ22ζ5-111−i321+i32−1+i32−1−i32−ζ4−ζ7−ζ−ζ8−ζ2−ζ5ζ4ζ7ζζ8ζ2ζ5000000000
χ333−3+3i32−3−3i323ζ73ζ3ζ43ζ53ζ83ζ23−3+3i32−3−3i323ζ73ζ3ζ43ζ53ζ83ζ200000000000011−1+i32−1−i32−1+i32−1−i32ζ7ζζ4ζ5ζ8ζ2ζ7ζζ4ζ5ζ8ζ20000000003−3+3i32−3−3i323ζ73ζ3ζ43ζ53ζ83ζ23−3+3i32−3−3i323ζ73ζ3ζ43ζ53ζ83ζ200000000000011−1+i32−1−i32−1+i32−1−i32ζ7ζζ4ζ5ζ8ζ2ζ7ζζ4ζ5ζ8ζ2000000000
χ343−3+3i32−3−3i323ζ73ζ3ζ43ζ53ζ83ζ23−3+3i32−3−3i323ζ73ζ3ζ43ζ53ζ83ζ2000000000000-1-11−i321+i321−i321+i32−ζ7−ζ−ζ4−ζ5−ζ8−ζ2−ζ7−ζ−ζ4−ζ5−ζ8−ζ20000000003−3+3i32−3−3i323ζ73ζ3ζ43ζ53ζ83ζ23−3+3i32−3−3i323ζ73ζ3ζ43ζ53ζ83ζ2000000000000-1-11−i321+i321−i321+i32−ζ7−ζ−ζ4−ζ5−ζ8−ζ2−ζ7−ζ−ζ4−ζ5−ζ8−ζ2000000000
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χ72222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32222−1−i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3000000000000000000-1-1-11+i321+i321+i321−i321−i321−i32-2-2-21+i31+i31+i31−i31−i31−i3-2-2-21+i31+i31+i31−i31−i31−i3-2-2-2-21+i31−i31+i31+i31+i31−i31−i31−i3000000000000000000111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ73222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-11+i321−i321+i321+i321+i321−i321−i321−i320000000000000000002-1-1−1−i31+i321+i32−1+i31−i321−i32-2-2-21+i31+i31+i31−i31−i31−i3-2-2-21+i31+i31+i31−i31−i31−i31111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32000000000000000000-2111+i3−1−i32−1−i321−i3−1+i32−1+i32
χ74222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-11+i321−i321+i321+i321+i321−i321−i321−i32000000000000000000-12-11+i32−1−i31+i321−i32−1+i31−i32-2-2-21+i31+i31+i31−i31−i31−i3-2-2-21+i31+i31+i31−i31−i31−i31111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i320000000000000000001-21−1−i321+i3−1−i32−1+i321−i3−1+i32
χ75222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-11+i321−i321+i321+i321+i321−i321−i321−i32000000000000000000-1-121+i321+i32−1−i31−i321−i32−1+i3-2-2-21+i31+i31+i31−i31−i31−i3-2-2-21+i31+i31+i31−i31−i31−i31111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3200000000000000000011-2−1−i32−1−i321+i3−1+i32−1+i321−i3
χ76333333333-1-1-1-1-1-1-1-1-13-1-1-133-1-1-1-1-1-11-111-1-1111111-1-1-1-1-1-1000000000-3-3-3-3-3-3-3-3-3111111111-3111-3-3111111-11-1-111-1-1-1-1-1-1111111000000000
χ77333333333-1-1-1-1-1-1-1-1-13-1-1-133-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1111111000000000-3-3-3-3-3-3-3-3-3111111111-3111-3-31111111-111-1-1111111-1-1-1-1-1-1000000000
χ78333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-1-1-11−i321−i321−i321+i321+i321+i323-1-1-1−3+3i32−3−3i321−i321−i321−i321+i321+i321+i321-111-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i32000000000-3-3-33−3i323−3i323−3i323+3i323+3i323+3i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-31113−3i323+3i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-11-1-1111−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32000000000
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χ823−3+3i32−3−3i323ζ3ζ43ζ73ζ23ζ53ζ83−3+3i32−3−3i323ζ3ζ43ζ73ζ23ζ53ζ800000000000011−1+i32−1−i32−1+i32−1−i32ζζ4ζ7ζ2ζ5ζ8ζζ4ζ7ζ2ζ5ζ8000000000-33−3i323+3i32−3ζ−3ζ4−3ζ7−3ζ2−3ζ5−3ζ8-33−3i323+3i32−3ζ−3ζ4−3ζ7−3ζ2−3ζ5−3ζ8000000000000-1-11−i321+i321−i321+i32−ζ−ζ4−ζ7−ζ2−ζ5−ζ8−ζ−ζ4−ζ7−ζ2−ζ5−ζ8000000000
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χ863−3+3i32−3−3i323ζ43ζ73ζ3ζ83ζ23ζ53−3+3i32−3−3i323ζ43ζ73ζ3ζ83ζ23ζ500000000000011−1+i32−1−i32−1+i32−1−i32ζ4ζ7ζζ8ζ2ζ5ζ4ζ7ζζ8ζ2ζ5000000000-33−3i323+3i32−3ζ4−3ζ7−3ζ−3ζ8−3ζ2−3ζ5-33−3i323+3i32−3ζ4−3ζ7−3ζ−3ζ8−3ζ2−3ζ5000000000000-1-11−i321+i321−i321+i32−ζ4−ζ7−ζ−ζ8−ζ2−ζ5−ζ4−ζ7−ζ−ζ8−ζ2−ζ5000000000
χ873−3+3i32−3−3i323ζ43ζ73ζ3ζ83ζ23ζ53−3+3i32−3−3i323ζ43ζ73ζ3ζ83ζ23ζ5000000000000-1-11−i321+i321−i321+i32−ζ4−ζ7−ζ−ζ8−ζ2−ζ5−ζ4−ζ7−ζ−ζ8−ζ2−ζ5000000000-33−3i323+3i32−3ζ4−3ζ7−3ζ−3ζ8−3ζ2−3ζ5-33−3i323+3i32−3ζ4−3ζ7−3ζ−3ζ8−3ζ2−3ζ500000000000011−1+i32−1−i32−1+i32−1−i32ζ4ζ7ζζ8ζ2ζ5ζ4ζ7ζζ8ζ2ζ5000000000
χ883−3+3i32−3−3i323ζ43ζ73ζ3ζ83ζ23ζ5-11−i321+i32−ζ4−ζ7−ζ−ζ8−ζ2−ζ502−1+i3−1−i3002ζ42ζ72ζ2ζ82ζ22ζ51-1−1+i32−1−i321−i321+i32ζ4ζ7ζζ8ζ2ζ5−ζ4−ζ7−ζ−ζ8−ζ2−ζ5000000000-33−3i323+3i32−3ζ4−3ζ7−3ζ−3ζ8−3ζ2−3ζ51−1+i32−1−i32ζ4ζ7ζζ8ζ2ζ50-21−i31+i300−2ζ4−2ζ7−2ζ−2ζ8−2ζ2−2ζ5-111−i321+i32−1+i32−1−i32−ζ4−ζ7−ζ−ζ8−ζ2−ζ5ζ4ζ7ζζ8ζ2ζ5000000000
χ893−3+3i32−3−3i323ζ43ζ73ζ3ζ83ζ23ζ5-11−i321+i32−ζ4−ζ7−ζ−ζ8−ζ2−ζ502−1+i3−1−i3002ζ42ζ72ζ2ζ82ζ22ζ5-111−i321+i32−1+i32−1−i32−ζ4−ζ7−ζ−ζ8−ζ2−ζ5ζ4ζ7ζζ8ζ2ζ5000000000-33−3i323+3i32−3ζ4−3ζ7−3ζ−3ζ8−3ζ2−3ζ51−1+i32−1−i32ζ4ζ7ζζ8ζ2ζ50-21−i31+i300−2ζ4−2ζ7−2ζ−2ζ8−2ζ2−2ζ51-1−1+i32−1−i321−i321+i32ζ4ζ7ζζ8ζ2ζ5−ζ4−ζ7−ζ−ζ8−ζ2−ζ5000000000
χ903−3+3i32−3−3i323ζ73ζ3ζ43ζ53ζ83ζ23−3+3i32−3−3i323ζ73ζ3ζ43ζ53ζ83ζ200000000000011−1+i32−1−i32−1+i32−1−i32ζ7ζζ4ζ5ζ8ζ2ζ7ζζ4ζ5ζ8ζ2000000000-33−3i323+3i32−3ζ7−3ζ−3ζ4−3ζ5−3ζ8−3ζ2-33−3i323+3i32−3ζ7−3ζ−3ζ4−3ζ5−3ζ8−3ζ2000000000000-1-11−i321+i321−i321+i32−ζ7−ζ−ζ4−ζ5−ζ8−ζ2−ζ7−ζ−ζ4−ζ5−ζ8−ζ2000000000
χ913−3+3i32−3−3i323ζ73ζ3ζ43ζ53ζ83ζ23−3+3i32−3−3i323ζ73ζ3ζ43ζ53ζ83ζ2000000000000-1-11−i321+i321−i321+i32−ζ7−ζ−ζ4−ζ5−ζ8−ζ2−ζ7−ζ−ζ4−ζ5−ζ8−ζ2000000000-33−3i323+3i32−3ζ7−3ζ−3ζ4−3ζ5−3ζ8−3ζ2-33−3i323+3i32−3ζ7−3ζ−3ζ4−3ζ5−3ζ8−3ζ200000000000011−1+i32−1−i32−1+i32−1−i32ζ7ζζ4ζ5ζ8ζ2ζ7ζζ4ζ5ζ8ζ2000000000
χ923−3+3i32−3−3i323ζ73ζ3ζ43ζ53ζ83ζ2-11−i321+i32−ζ7−ζ−ζ4−ζ5−ζ8−ζ202−1+i3−1−i3002ζ72ζ2ζ42ζ52ζ82ζ21-1−1+i32−1−i321−i321+i32ζ7ζζ4ζ5ζ8ζ2−ζ7−ζ−ζ4−ζ5−ζ8−ζ2000000000-33−3i323+3i32−3ζ7−3ζ−3ζ4−3ζ5−3ζ8−3ζ21−1+i32−1−i32ζ7ζζ4ζ5ζ8ζ20-21−i31+i300−2ζ7−2ζ−2ζ4−2ζ5−2ζ8−2ζ2-111−i321+i32−1+i32−1−i32−ζ7−ζ−ζ4−ζ5−ζ8−ζ2ζ7ζζ4ζ5ζ8ζ2000000000
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χ1023−3−3i32−3+3i323ζ83ζ53ζ23ζ73ζ43ζ3−3−3i32−3+3i323ζ83ζ53ζ23ζ73ζ43ζ00000000000011−1−i32−1+i32−1−i32−1+i32ζ8ζ5ζ2ζ7ζ4ζζ8ζ5ζ2ζ7ζ4ζ000000000-33+3i323−3i32−3ζ8−3ζ5−3ζ2−3ζ7−3ζ4−3ζ-33+3i323−3i32−3ζ8−3ζ5−3ζ2−3ζ7−3ζ4−3ζ000000000000-1-11+i321−i321+i321−i32−ζ8−ζ5−ζ2−ζ7−ζ4−ζ−ζ8−ζ5−ζ2−ζ7−ζ4−ζ000000000
χ1033−3−3i32−3+3i323ζ83ζ53ζ23ζ73ζ43ζ3−3−3i32−3+3i323ζ83ζ53ζ23ζ73ζ43ζ000000000000-1-11+i321−i321+i321−i32−ζ8−ζ5−ζ2−ζ7−ζ4−ζ−ζ8−ζ5−ζ2−ζ7−ζ4−ζ000000000-33+3i323−3i32−3ζ8−3ζ5−3ζ2−3ζ7−3ζ4−3ζ-33+3i323−3i32−3ζ8−3ζ5−3ζ2−3ζ7−3ζ4−3ζ00000000000011−1−i32−1+i32−1−i32−1+i32ζ8ζ5ζ2ζ7ζ4ζζ8ζ5ζ2ζ7ζ4ζ000000000
χ1043−3−3i32−3+3i323ζ83ζ53ζ23ζ73ζ43ζ-11+i321−i32−ζ8−ζ5−ζ2−ζ7−ζ4−ζ02−1−i3−1+i3002ζ82ζ52ζ22ζ72ζ42ζ1-1−1−i32−1+i321+i321−i32ζ8ζ5ζ2ζ7ζ4ζ−ζ8−ζ5−ζ2−ζ7−ζ4−ζ000000000-33+3i323−3i32−3ζ8−3ζ5−3ζ2−3ζ7−3ζ4−3ζ1−1−i32−1+i32ζ8ζ5ζ2ζ7ζ4ζ0-21+i31−i300−2ζ8−2ζ5−2ζ2−2ζ7−2ζ4−2ζ-111+i321−i32−1−i32−1+i32−ζ8−ζ5−ζ2−ζ7−ζ4−ζζ8ζ5ζ2ζ7ζ4ζ000000000
χ1053−3−3i32−3+3i323ζ83ζ53ζ23ζ73ζ43ζ-11+i321−i32−ζ8−ζ5−ζ2−ζ7−ζ4−ζ02−1−i3−1+i3002ζ82ζ52ζ22ζ72ζ42ζ-111+i321−i32−1−i32−1+i32−ζ8−ζ5−ζ2−ζ7−ζ4−ζζ8ζ5ζ2ζ7ζ4ζ000000000-33+3i323−3i32−3ζ8−3ζ5−3ζ2−3ζ7−3ζ4−3ζ1−1−i32−1+i32ζ8ζ5ζ2ζ7ζ4ζ0-21+i31−i300−2ζ8−2ζ5−2ζ2−2ζ7−2ζ4−2ζ1-1−1−i32−1+i321+i321−i32ζ8ζ5ζ2ζ7ζ4ζ−ζ8−ζ5−ζ2−ζ7−ζ4−ζ000000000
χ106666666666-2-2-2-2-2-2-2-2-2-3111-3-3111111000000000000000000000000000-6-6-6-6-6-6-6-6-62222222223-1-1-133-1-1-1-1-1-1000000000000000000000000000
χ107666−3+3i3−3+3i3−3+3i3−3−3i3−3−3i3−3−3i3-2-2-21−i31−i31−i31+i31+i31+i3-31113−3i323+3i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32000000000000000000000000000-6-6-63−3i33−3i33−3i33+3i33+3i33+3i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i33-1-1-1−3+3i32−3−3i321−i321−i321−i321+i321+i321+i32000000000000000000000000000
χ108666−3−3i3−3−3i3−3−3i3−3+3i3−3+3i3−3+3i3-2-2-21+i31+i31+i31−i31−i31−i3-31113+3i323−3i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32000000000000000000000000000-6-6-63+3i33+3i33+3i33−3i33−3i33−3i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i33-1-1-1−3−3i32−3+3i321+i321+i321+i321−i321−i321−i32000000000000000000000000000
χ1096−3+3i3−3−3i36ζ6ζ46ζ76ζ26ζ56ζ8-21−i31+i3−2ζ−2ζ4−2ζ7−2ζ2−2ζ5−2ζ80-21−i31+i300−2ζ−2ζ4−2ζ7−2ζ2−2ζ5−2ζ8000000000000000000000000000-63−3i33+3i3−6ζ−6ζ4−6ζ7−6ζ2−6ζ5−6ζ82−1+i3−1−i32ζ2ζ42ζ72ζ22ζ52ζ802−1+i3−1−i3002ζ2ζ42ζ72ζ22ζ52ζ8000000000000000000000000000
χ1106−3+3i3−3−3i36ζ46ζ76ζ6ζ86ζ26ζ5-21−i31+i3−2ζ4−2ζ7−2ζ−2ζ8−2ζ2−2ζ50-21−i31+i300−2ζ4−2ζ7−2ζ−2ζ8−2ζ2−2ζ5000000000000000000000000000-63−3i33+3i3−6ζ4−6ζ7−6ζ−6ζ8−6ζ2−6ζ52−1+i3−1−i32ζ42ζ72ζ2ζ82ζ22ζ502−1+i3−1−i3002ζ42ζ72ζ2ζ82ζ22ζ5000000000000000000000000000
χ1116−3+3i3−3−3i36ζ76ζ6ζ46ζ56ζ86ζ2-21−i31+i3−2ζ7−2ζ−2ζ4−2ζ5−2ζ8−2ζ20-21−i31+i300−2ζ7−2ζ−2ζ4−2ζ5−2ζ8−2ζ2000000000000000000000000000-63−3i33+3i3−6ζ7−6ζ−6ζ4−6ζ5−6ζ8−6ζ22−1+i3−1−i32ζ72ζ2ζ42ζ52ζ82ζ202−1+i3−1−i3002ζ72ζ2ζ42ζ52ζ82ζ2000000000000000000000000000
χ1126−3−3i3−3+3i36ζ26ζ86ζ56ζ46ζ6ζ7-21+i31−i3−2ζ2−2ζ8−2ζ5−2ζ4−2ζ−2ζ70-21+i31−i300−2ζ2−2ζ8−2ζ5−2ζ4−2ζ−2ζ7000000000000000000000000000-63+3i33−3i3−6ζ2−6ζ8−6ζ5−6ζ4−6ζ−6ζ72−1−i3−1+i32ζ22ζ82ζ52ζ42ζ2ζ702−1−i3−1+i3002ζ22ζ82ζ52ζ42ζ2ζ7000000000000000000000000000
χ1136−3−3i3−3+3i36ζ56ζ26ζ86ζ6ζ76ζ4-21+i31−i3−2ζ5−2ζ2−2ζ8−2ζ−2ζ7−2ζ40-21+i31−i300−2ζ5−2ζ2−2ζ8−2ζ−2ζ7−2ζ4000000000000000000000000000-63+3i33−3i3−6ζ5−6ζ2−6ζ8−6ζ−6ζ7−6ζ42−1−i3−1+i32ζ52ζ22ζ82ζ2ζ72ζ402−1−i3−1+i3002ζ52ζ22ζ82ζ2ζ72ζ4000000000000000000000000000
χ1146−3−3i3−3+3i36ζ86ζ56ζ26ζ76ζ46ζ-21+i31−i3−2ζ8−2ζ5−2ζ2−2ζ7−2ζ4−2ζ0-21+i31−i300−2ζ8−2ζ5−2ζ2−2ζ7−2ζ4−2ζ000000000000000000000000000-63+3i33−3i3−6ζ8−6ζ5−6ζ2−6ζ7−6ζ4−6ζ2−1−i3−1+i32ζ82ζ52ζ22ζ72ζ42ζ02−1−i3−1+i3002ζ82ζ52ζ22ζ72ζ42ζ000000000000000000000000000

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