Finite Group Databasebeta

← Group #13180064

Character table — Group #13180064

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size133333161613333316161333331616399999484839999948483999994848412121212126464412121212126464412121212126464412121212126464412121212126464412121212126464
order122222333666663336666633222222666666666666666666918181818189991818181818999181818181899918181818189991818181818999181818181899
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32
χ3111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32
χ433-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-100
χ53-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-100
χ63-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-100
χ73-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-100
χ83-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-1300
χ9111111111111111111111111111111111111111111111111−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ10111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32
χ11111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321
χ1233-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-100−3+3i32−3+3i321−i321−i321−i321−i3200−3+3i32−3+3i321−i321−i321−i321−i3200−3+3i32−3+3i321−i321−i321−i321−i3200−3−3i32−3−3i321+i321+i321+i321+i3200−3−3i32−3−3i321+i321+i321+i321+i3200−3−3i32−3−3i321+i321+i321+i321+i3200
χ133-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-100−3+3i321−i32−3+3i321−i321−i321−i3200−3+3i321−i32−3+3i321−i321−i321−i3200−3+3i321−i32−3+3i321−i321−i321−i3200−3−3i321+i32−3−3i321+i321+i321+i3200−3−3i321+i32−3−3i321+i321+i321+i3200−3−3i321+i32−3−3i321+i321+i321+i3200
χ143-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-100−3+3i321−i321−i32−3+3i321−i321−i3200−3+3i321−i321−i32−3+3i321−i321−i3200−3+3i321−i321−i32−3+3i321−i321−i3200−3−3i321+i321+i32−3−3i321+i321+i3200−3−3i321+i321+i32−3−3i321+i321+i3200−3−3i321+i321+i32−3−3i321+i321+i3200
χ153-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-100−3+3i321−i321−i321−i32−3+3i321−i3200−3+3i321−i321−i321−i32−3+3i321−i3200−3+3i321−i321−i321−i32−3+3i321−i3200−3−3i321+i321+i321+i32−3−3i321+i3200−3−3i321+i321+i321+i32−3−3i321+i3200−3−3i321+i321+i321+i32−3−3i321+i3200
χ163-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-1300−3+3i321−i321−i321−i321−i32−3+3i3200−3+3i321−i321−i321−i321−i32−3+3i3200−3+3i321−i321−i321−i321−i32−3+3i3200−3−3i321+i321+i321+i321+i32−3−3i3200−3−3i321+i321+i321+i321+i32−3−3i3200−3−3i321+i321+i321+i321+i32−3−3i3200
χ17111111111111111111111111111111111111111111111111−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ18111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321
χ19111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32
χ2033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-100−3−3i32−3−3i321+i321+i321+i321+i3200−3−3i32−3−3i321+i321+i321+i321+i3200−3−3i32−3−3i321+i321+i321+i321+i3200−3+3i32−3+3i321−i321−i321−i321−i3200−3+3i32−3+3i321−i321−i321−i321−i3200−3+3i32−3+3i321−i321−i321−i321−i3200
χ213-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-100−3−3i321+i32−3−3i321+i321+i321+i3200−3−3i321+i32−3−3i321+i321+i321+i3200−3−3i321+i32−3−3i321+i321+i321+i3200−3+3i321−i32−3+3i321−i321−i321−i3200−3+3i321−i32−3+3i321−i321−i321−i3200−3+3i321−i32−3+3i321−i321−i321−i3200
χ223-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-100−3−3i321+i321+i32−3−3i321+i321+i3200−3−3i321+i321+i32−3−3i321+i321+i3200−3−3i321+i321+i32−3−3i321+i321+i3200−3+3i321−i321−i32−3+3i321−i321−i3200−3+3i321−i321−i32−3+3i321−i321−i3200−3+3i321−i321−i32−3+3i321−i321−i3200
χ233-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-100−3−3i321+i321+i321+i32−3−3i321+i3200−3−3i321+i321+i321+i32−3−3i321+i3200−3−3i321+i321+i321+i32−3−3i321+i3200−3+3i321−i321−i321−i32−3+3i321−i3200−3+3i321−i321−i321−i32−3+3i321−i3200−3+3i321−i321−i321−i32−3+3i321−i3200
χ243-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-1300−3−3i321+i321+i321+i321+i32−3−3i3200−3−3i321+i321+i321+i321+i32−3−3i3200−3−3i321+i321+i321+i321+i32−3−3i3200−3+3i321−i321−i321−i321−i32−3+3i3200−3+3i321−i321−i321−i321−i32−3+3i3200−3+3i321−i321−i321−i321−i32−3+3i3200
χ2511111111−1+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−i3211111111−1+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−i32ζζζζζζζζζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8
χ26111111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32111111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32ζζζζζζζ4ζ7ζ4ζ4ζ4ζ4ζ4ζ4ζ7ζζ7ζ7ζ7ζ7ζ7ζ7ζζ4ζ2ζ2ζ2ζ2ζ2ζ2ζ5ζ8ζ5ζ5ζ5ζ5ζ5ζ5ζ8ζ2ζ8ζ8ζ8ζ8ζ8ζ8ζ2ζ5
χ27111111−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321111111−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321ζζζζζζζ7ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ4ζζ2ζ2ζ2ζ2ζ2ζ2ζ8ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ2ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ5ζ2
χ2833-1-1-1-100−3+3i32−3+3i321−i321−i321−i321−i3200−3−3i32−3−3i321+i321+i321+i321+i320033-1-1-1-100−3+3i32−3+3i321−i321−i321−i321−i3200−3−3i32−3−3i321+i321+i321+i321+i32003ζ3ζ−ζ−ζ−ζ−ζ003ζ43ζ4−ζ4−ζ4−ζ4−ζ4003ζ73ζ7−ζ7−ζ7−ζ7−ζ7003ζ23ζ2−ζ2−ζ2−ζ2−ζ2003ζ53ζ5−ζ5−ζ5−ζ5−ζ5003ζ83ζ8−ζ8−ζ8−ζ8−ζ800
χ293-13-1-1-100−3+3i321−i32−3+3i321−i321−i321−i3200−3−3i321+i32−3−3i321+i321+i321+i32003-13-1-1-100−3+3i321−i32−3+3i321−i321−i321−i3200−3−3i321+i32−3−3i321+i321+i321+i32003ζ−ζ3ζ−ζ−ζ−ζ003ζ4−ζ43ζ4−ζ4−ζ4−ζ4003ζ7−ζ73ζ7−ζ7−ζ7−ζ7003ζ2−ζ23ζ2−ζ2−ζ2−ζ2003ζ5−ζ53ζ5−ζ5−ζ5−ζ5003ζ8−ζ83ζ8−ζ8−ζ8−ζ800
χ303-1-13-1-100−3+3i321−i321−i32−3+3i321−i321−i3200−3−3i321+i321+i32−3−3i321+i321+i32003-1-13-1-100−3+3i321−i321−i32−3+3i321−i321−i3200−3−3i321+i321+i32−3−3i321+i321+i32003ζ−ζ−ζ3ζ−ζ−ζ003ζ4−ζ4−ζ43ζ4−ζ4−ζ4003ζ7−ζ7−ζ73ζ7−ζ7−ζ7003ζ2−ζ2−ζ23ζ2−ζ2−ζ2003ζ5−ζ5−ζ53ζ5−ζ5−ζ5003ζ8−ζ8−ζ83ζ8−ζ8−ζ800
χ313-1-1-13-100−3+3i321−i321−i321−i32−3+3i321−i3200−3−3i321+i321+i321+i32−3−3i321+i32003-1-1-13-100−3+3i321−i321−i321−i32−3+3i321−i3200−3−3i321+i321+i321+i32−3−3i321+i32003ζ−ζ−ζ−ζ3ζ−ζ003ζ4−ζ4−ζ4−ζ43ζ4−ζ4003ζ7−ζ7−ζ7−ζ73ζ7−ζ7003ζ2−ζ2−ζ2−ζ23ζ2−ζ2003ζ5−ζ5−ζ5−ζ53ζ5−ζ5003ζ8−ζ8−ζ8−ζ83ζ8−ζ800
χ323-1-1-1-1300−3+3i321−i321−i321−i321−i32−3+3i3200−3−3i321+i321+i321+i321+i32−3−3i32003-1-1-1-1300−3+3i321−i321−i321−i321−i32−3+3i3200−3−3i321+i321+i321+i321+i32−3−3i32003ζ−ζ−ζ−ζ−ζ3ζ003ζ4−ζ4−ζ4−ζ4−ζ43ζ4003ζ7−ζ7−ζ7−ζ7−ζ73ζ7003ζ2−ζ2−ζ2−ζ2−ζ23ζ2003ζ5−ζ5−ζ5−ζ5−ζ53ζ5003ζ8−ζ8−ζ8−ζ8−ζ83ζ800
χ3311111111−1+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−i3211111111−1+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−i32ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζζζζζζζζζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5
χ34111111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32111111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32ζ4ζ4ζ4ζ4ζ4ζ4ζ7ζζ7ζ7ζ7ζ7ζ7ζ7ζζ4ζζζζζζζ4ζ7ζ8ζ8ζ8ζ8ζ8ζ8ζ2ζ5ζ2ζ2ζ2ζ2ζ2ζ2ζ5ζ8ζ5ζ5ζ5ζ5ζ5ζ5ζ8ζ2
χ35111111−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321111111−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321ζ4ζ4ζ4ζ4ζ4ζ4ζζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ4ζζζζζζζζ7ζ4ζ8ζ8ζ8ζ8ζ8ζ8ζ5ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ8ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ2ζ8
χ3633-1-1-1-100−3+3i32−3+3i321−i321−i321−i321−i3200−3−3i32−3−3i321+i321+i321+i321+i320033-1-1-1-100−3+3i32−3+3i321−i321−i321−i321−i3200−3−3i32−3−3i321+i321+i321+i321+i32003ζ43ζ4−ζ4−ζ4−ζ4−ζ4003ζ73ζ7−ζ7−ζ7−ζ7−ζ7003ζ3ζ−ζ−ζ−ζ−ζ003ζ83ζ8−ζ8−ζ8−ζ8−ζ8003ζ23ζ2−ζ2−ζ2−ζ2−ζ2003ζ53ζ5−ζ5−ζ5−ζ5−ζ500
χ373-13-1-1-100−3+3i321−i32−3+3i321−i321−i321−i3200−3−3i321+i32−3−3i321+i321+i321+i32003-13-1-1-100−3+3i321−i32−3+3i321−i321−i321−i3200−3−3i321+i32−3−3i321+i321+i321+i32003ζ4−ζ43ζ4−ζ4−ζ4−ζ4003ζ7−ζ73ζ7−ζ7−ζ7−ζ7003ζ−ζ3ζ−ζ−ζ−ζ003ζ8−ζ83ζ8−ζ8−ζ8−ζ8003ζ2−ζ23ζ2−ζ2−ζ2−ζ2003ζ5−ζ53ζ5−ζ5−ζ5−ζ500
χ383-1-13-1-100−3+3i321−i321−i32−3+3i321−i321−i3200−3−3i321+i321+i32−3−3i321+i321+i32003-1-13-1-100−3+3i321−i321−i32−3+3i321−i321−i3200−3−3i321+i321+i32−3−3i321+i321+i32003ζ4−ζ4−ζ43ζ4−ζ4−ζ4003ζ7−ζ7−ζ73ζ7−ζ7−ζ7003ζ−ζ−ζ3ζ−ζ−ζ003ζ8−ζ8−ζ83ζ8−ζ8−ζ8003ζ2−ζ2−ζ23ζ2−ζ2−ζ2003ζ5−ζ5−ζ53ζ5−ζ5−ζ500
χ393-1-1-13-100−3+3i321−i321−i321−i32−3+3i321−i3200−3−3i321+i321+i321+i32−3−3i321+i32003-1-1-13-100−3+3i321−i321−i321−i32−3+3i321−i3200−3−3i321+i321+i321+i32−3−3i321+i32003ζ4−ζ4−ζ4−ζ43ζ4−ζ4003ζ7−ζ7−ζ7−ζ73ζ7−ζ7003ζ−ζ−ζ−ζ3ζ−ζ003ζ8−ζ8−ζ8−ζ83ζ8−ζ8003ζ2−ζ2−ζ2−ζ23ζ2−ζ2003ζ5−ζ5−ζ5−ζ53ζ5−ζ500
χ403-1-1-1-1300−3+3i321−i321−i321−i321−i32−3+3i3200−3−3i321+i321+i321+i321+i32−3−3i32003-1-1-1-1300−3+3i321−i321−i321−i321−i32−3+3i3200−3−3i321+i321+i321+i321+i32−3−3i32003ζ4−ζ4−ζ4−ζ4−ζ43ζ4003ζ7−ζ7−ζ7−ζ7−ζ73ζ7003ζ−ζ−ζ−ζ−ζ3ζ003ζ8−ζ8−ζ8−ζ8−ζ83ζ8003ζ2−ζ2−ζ2−ζ2−ζ23ζ2003ζ5−ζ5−ζ5−ζ5−ζ53ζ500
χ4111111111−1+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−i3211111111−1+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−i32ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζζζζζζζζζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2
χ42111111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32111111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32ζ7ζ7ζ7ζ7ζ7ζ7ζζ4ζζζζζζζ4ζ7ζ4ζ4ζ4ζ4ζ4ζ4ζ7ζζ5ζ5ζ5ζ5ζ5ζ5ζ8ζ2ζ8ζ8ζ8ζ8ζ8ζ8ζ2ζ5ζ2ζ2ζ2ζ2ζ2ζ2ζ5ζ8
χ43111111−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321111111−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321ζ7ζ7ζ7ζ7ζ7ζ7ζ4ζζζζζζζζ7ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζζ7ζ5ζ5ζ5ζ5ζ5ζ5ζ2ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ5ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ8ζ5
χ4433-1-1-1-100−3+3i32−3+3i321−i321−i321−i321−i3200−3−3i32−3−3i321+i321+i321+i321+i320033-1-1-1-100−3+3i32−3+3i321−i321−i321−i321−i3200−3−3i32−3−3i321+i321+i321+i321+i32003ζ73ζ7−ζ7−ζ7−ζ7−ζ7003ζ3ζ−ζ−ζ−ζ−ζ003ζ43ζ4−ζ4−ζ4−ζ4−ζ4003ζ53ζ5−ζ5−ζ5−ζ5−ζ5003ζ83ζ8−ζ8−ζ8−ζ8−ζ8003ζ23ζ2−ζ2−ζ2−ζ2−ζ200
χ453-13-1-1-100−3+3i321−i32−3+3i321−i321−i321−i3200−3−3i321+i32−3−3i321+i321+i321+i32003-13-1-1-100−3+3i321−i32−3+3i321−i321−i321−i3200−3−3i321+i32−3−3i321+i321+i321+i32003ζ7−ζ73ζ7−ζ7−ζ7−ζ7003ζ−ζ3ζ−ζ−ζ−ζ003ζ4−ζ43ζ4−ζ4−ζ4−ζ4003ζ5−ζ53ζ5−ζ5−ζ5−ζ5003ζ8−ζ83ζ8−ζ8−ζ8−ζ8003ζ2−ζ23ζ2−ζ2−ζ2−ζ200
χ463-1-13-1-100−3+3i321−i321−i32−3+3i321−i321−i3200−3−3i321+i321+i32−3−3i321+i321+i32003-1-13-1-100−3+3i321−i321−i32−3+3i321−i321−i3200−3−3i321+i321+i32−3−3i321+i321+i32003ζ7−ζ7−ζ73ζ7−ζ7−ζ7003ζ−ζ−ζ3ζ−ζ−ζ003ζ4−ζ4−ζ43ζ4−ζ4−ζ4003ζ5−ζ5−ζ53ζ5−ζ5−ζ5003ζ8−ζ8−ζ83ζ8−ζ8−ζ8003ζ2−ζ2−ζ23ζ2−ζ2−ζ200
χ473-1-1-13-100−3+3i321−i321−i321−i32−3+3i321−i3200−3−3i321+i321+i321+i32−3−3i321+i32003-1-1-13-100−3+3i321−i321−i321−i32−3+3i321−i3200−3−3i321+i321+i321+i32−3−3i321+i32003ζ7−ζ7−ζ7−ζ73ζ7−ζ7003ζ−ζ−ζ−ζ3ζ−ζ003ζ4−ζ4−ζ4−ζ43ζ4−ζ4003ζ5−ζ5−ζ5−ζ53ζ5−ζ5003ζ8−ζ8−ζ8−ζ83ζ8−ζ8003ζ2−ζ2−ζ2−ζ23ζ2−ζ200
χ483-1-1-1-1300−3+3i321−i321−i321−i321−i32−3+3i3200−3−3i321+i321+i321+i321+i32−3−3i32003-1-1-1-1300−3+3i321−i321−i321−i321−i32−3+3i3200−3−3i321+i321+i321+i321+i32−3−3i32003ζ7−ζ7−ζ7−ζ7−ζ73ζ7003ζ−ζ−ζ−ζ−ζ3ζ003ζ4−ζ4−ζ4−ζ4−ζ43ζ4003ζ5−ζ5−ζ5−ζ5−ζ53ζ5003ζ8−ζ8−ζ8−ζ8−ζ83ζ8003ζ2−ζ2−ζ2−ζ2−ζ23ζ200
χ4911111111−1−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+i3211111111−1−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+i32ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζζζζζζζζζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7
χ50111111−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321111111−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321ζ2ζ2ζ2ζ2ζ2ζ2ζ5ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ2ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ8ζ2ζ4ζ4ζ4ζ4ζ4ζ4ζ7ζζζζζζζζ4ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζζ4
χ51111111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32111111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32ζ2ζ2ζ2ζ2ζ2ζ2ζ8ζ5ζ8ζ8ζ8ζ8ζ8ζ8ζ5ζ2ζ5ζ5ζ5ζ5ζ5ζ5ζ2ζ8ζ4ζ4ζ4ζ4ζ4ζ4ζζ7ζζζζζζζ7ζ4ζ7ζ7ζ7ζ7ζ7ζ7ζ4ζ
χ5233-1-1-1-100−3−3i32−3−3i321+i321+i321+i321+i3200−3+3i32−3+3i321−i321−i321−i321−i320033-1-1-1-100−3−3i32−3−3i321+i321+i321+i321+i3200−3+3i32−3+3i321−i321−i321−i321−i32003ζ23ζ2−ζ2−ζ2−ζ2−ζ2003ζ83ζ8−ζ8−ζ8−ζ8−ζ8003ζ53ζ5−ζ5−ζ5−ζ5−ζ5003ζ43ζ4−ζ4−ζ4−ζ4−ζ4003ζ3ζ−ζ−ζ−ζ−ζ003ζ73ζ7−ζ7−ζ7−ζ7−ζ700
χ533-13-1-1-100−3−3i321+i32−3−3i321+i321+i321+i3200−3+3i321−i32−3+3i321−i321−i321−i32003-13-1-1-100−3−3i321+i32−3−3i321+i321+i321+i3200−3+3i321−i32−3+3i321−i321−i321−i32003ζ2−ζ23ζ2−ζ2−ζ2−ζ2003ζ8−ζ83ζ8−ζ8−ζ8−ζ8003ζ5−ζ53ζ5−ζ5−ζ5−ζ5003ζ4−ζ43ζ4−ζ4−ζ4−ζ4003ζ−ζ3ζ−ζ−ζ−ζ003ζ7−ζ73ζ7−ζ7−ζ7−ζ700
χ543-1-13-1-100−3−3i321+i321+i32−3−3i321+i321+i3200−3+3i321−i321−i32−3+3i321−i321−i32003-1-13-1-100−3−3i321+i321+i32−3−3i321+i321+i3200−3+3i321−i321−i32−3+3i321−i321−i32003ζ2−ζ2−ζ23ζ2−ζ2−ζ2003ζ8−ζ8−ζ83ζ8−ζ8−ζ8003ζ5−ζ5−ζ53ζ5−ζ5−ζ5003ζ4−ζ4−ζ43ζ4−ζ4−ζ4003ζ−ζ−ζ3ζ−ζ−ζ003ζ7−ζ7−ζ73ζ7−ζ7−ζ700
χ553-1-1-13-100−3−3i321+i321+i321+i32−3−3i321+i3200−3+3i321−i321−i321−i32−3+3i321−i32003-1-1-13-100−3−3i321+i321+i321+i32−3−3i321+i3200−3+3i321−i321−i321−i32−3+3i321−i32003ζ2−ζ2−ζ2−ζ23ζ2−ζ2003ζ8−ζ8−ζ8−ζ83ζ8−ζ8003ζ5−ζ5−ζ5−ζ53ζ5−ζ5003ζ4−ζ4−ζ4−ζ43ζ4−ζ4003ζ−ζ−ζ−ζ3ζ−ζ003ζ7−ζ7−ζ7−ζ73ζ7−ζ700
χ563-1-1-1-1300−3−3i321+i321+i321+i321+i32−3−3i3200−3+3i321−i321−i321−i321−i32−3+3i32003-1-1-1-1300−3−3i321+i321+i321+i321+i32−3−3i3200−3+3i321−i321−i321−i321−i32−3+3i32003ζ2−ζ2−ζ2−ζ2−ζ23ζ2003ζ8−ζ8−ζ8−ζ8−ζ83ζ8003ζ5−ζ5−ζ5−ζ5−ζ53ζ5003ζ4−ζ4−ζ4−ζ4−ζ43ζ4003ζ−ζ−ζ−ζ−ζ3ζ003ζ7−ζ7−ζ7−ζ7−ζ73ζ700
χ5711111111−1−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+i3211111111−1−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+i32ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζζζζζζζζζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4
χ58111111−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321111111−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321ζ5ζ5ζ5ζ5ζ5ζ5ζ8ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ5ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ2ζ5ζζζζζζζ4ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ7ζ
χ59111111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32111111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32ζ5ζ5ζ5ζ5ζ5ζ5ζ2ζ8ζ2ζ2ζ2ζ2ζ2ζ2ζ8ζ5ζ8ζ8ζ8ζ8ζ8ζ8ζ5ζ2ζζζζζζζ7ζ4ζ7ζ7ζ7ζ7ζ7ζ7ζ4ζζ4ζ4ζ4ζ4ζ4ζ4ζζ7
χ6033-1-1-1-100−3−3i32−3−3i321+i321+i321+i321+i3200−3+3i32−3+3i321−i321−i321−i321−i320033-1-1-1-100−3−3i32−3−3i321+i321+i321+i321+i3200−3+3i32−3+3i321−i321−i321−i321−i32003ζ53ζ5−ζ5−ζ5−ζ5−ζ5003ζ23ζ2−ζ2−ζ2−ζ2−ζ2003ζ83ζ8−ζ8−ζ8−ζ8−ζ8003ζ3ζ−ζ−ζ−ζ−ζ003ζ73ζ7−ζ7−ζ7−ζ7−ζ7003ζ43ζ4−ζ4−ζ4−ζ4−ζ400
χ613-13-1-1-100−3−3i321+i32−3−3i321+i321+i321+i3200−3+3i321−i32−3+3i321−i321−i321−i32003-13-1-1-100−3−3i321+i32−3−3i321+i321+i321+i3200−3+3i321−i32−3+3i321−i321−i321−i32003ζ5−ζ53ζ5−ζ5−ζ5−ζ5003ζ2−ζ23ζ2−ζ2−ζ2−ζ2003ζ8−ζ83ζ8−ζ8−ζ8−ζ8003ζ−ζ3ζ−ζ−ζ−ζ003ζ7−ζ73ζ7−ζ7−ζ7−ζ7003ζ4−ζ43ζ4−ζ4−ζ4−ζ400
χ623-1-13-1-100−3−3i321+i321+i32−3−3i321+i321+i3200−3+3i321−i321−i32−3+3i321−i321−i32003-1-13-1-100−3−3i321+i321+i32−3−3i321+i321+i3200−3+3i321−i321−i32−3+3i321−i321−i32003ζ5−ζ5−ζ53ζ5−ζ5−ζ5003ζ2−ζ2−ζ23ζ2−ζ2−ζ2003ζ8−ζ8−ζ83ζ8−ζ8−ζ8003ζ−ζ−ζ3ζ−ζ−ζ003ζ7−ζ7−ζ73ζ7−ζ7−ζ7003ζ4−ζ4−ζ43ζ4−ζ4−ζ400
χ633-1-1-13-100−3−3i321+i321+i321+i32−3−3i321+i3200−3+3i321−i321−i321−i32−3+3i321−i32003-1-1-13-100−3−3i321+i321+i321+i32−3−3i321+i3200−3+3i321−i321−i321−i32−3+3i321−i32003ζ5−ζ5−ζ5−ζ53ζ5−ζ5003ζ2−ζ2−ζ2−ζ23ζ2−ζ2003ζ8−ζ8−ζ8−ζ83ζ8−ζ8003ζ−ζ−ζ−ζ3ζ−ζ003ζ7−ζ7−ζ7−ζ73ζ7−ζ7003ζ4−ζ4−ζ4−ζ43ζ4−ζ400
χ643-1-1-1-1300−3−3i321+i321+i321+i321+i32−3−3i3200−3+3i321−i321−i321−i321−i32−3+3i32003-1-1-1-1300−3−3i321+i321+i321+i321+i32−3−3i3200−3+3i321−i321−i321−i321−i32−3+3i32003ζ5−ζ5−ζ5−ζ5−ζ53ζ5003ζ2−ζ2−ζ2−ζ2−ζ23ζ2003ζ8−ζ8−ζ8−ζ8−ζ83ζ8003ζ−ζ−ζ−ζ−ζ3ζ003ζ7−ζ7−ζ7−ζ7−ζ73ζ7003ζ4−ζ4−ζ4−ζ4−ζ43ζ400
χ6511111111−1−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+i3211111111−1−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+i32ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζζζζζζζζ
χ66111111−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321111111−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321ζ8ζ8ζ8ζ8ζ8ζ8ζ2ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ8ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ5ζ8ζ7ζ7ζ7ζ7ζ7ζ7ζζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ7ζζζζζζζζ4ζ7
χ67111111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32111111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32ζ8ζ8ζ8ζ8ζ8ζ8ζ5ζ2ζ5ζ5ζ5ζ5ζ5ζ5ζ2ζ8ζ2ζ2ζ2ζ2ζ2ζ2ζ8ζ5ζ7ζ7ζ7ζ7ζ7ζ7ζ4ζζ4ζ4ζ4ζ4ζ4ζ4ζζ7ζζζζζζζ7ζ4
χ6833-1-1-1-100−3−3i32−3−3i321+i321+i321+i321+i3200−3+3i32−3+3i321−i321−i321−i321−i320033-1-1-1-100−3−3i32−3−3i321+i321+i321+i321+i3200−3+3i32−3+3i321−i321−i321−i321−i32003ζ83ζ8−ζ8−ζ8−ζ8−ζ8003ζ53ζ5−ζ5−ζ5−ζ5−ζ5003ζ23ζ2−ζ2−ζ2−ζ2−ζ2003ζ73ζ7−ζ7−ζ7−ζ7−ζ7003ζ43ζ4−ζ4−ζ4−ζ4−ζ4003ζ3ζ−ζ−ζ−ζ−ζ00
χ693-13-1-1-100−3−3i321+i32−3−3i321+i321+i321+i3200−3+3i321−i32−3+3i321−i321−i321−i32003-13-1-1-100−3−3i321+i32−3−3i321+i321+i321+i3200−3+3i321−i32−3+3i321−i321−i321−i32003ζ8−ζ83ζ8−ζ8−ζ8−ζ8003ζ5−ζ53ζ5−ζ5−ζ5−ζ5003ζ2−ζ23ζ2−ζ2−ζ2−ζ2003ζ7−ζ73ζ7−ζ7−ζ7−ζ7003ζ4−ζ43ζ4−ζ4−ζ4−ζ4003ζ−ζ3ζ−ζ−ζ−ζ00
χ703-1-13-1-100−3−3i321+i321+i32−3−3i321+i321+i3200−3+3i321−i321−i32−3+3i321−i321−i32003-1-13-1-100−3−3i321+i321+i32−3−3i321+i321+i3200−3+3i321−i321−i32−3+3i321−i321−i32003ζ8−ζ8−ζ83ζ8−ζ8−ζ8003ζ5−ζ5−ζ53ζ5−ζ5−ζ5003ζ2−ζ2−ζ23ζ2−ζ2−ζ2003ζ7−ζ7−ζ73ζ7−ζ7−ζ7003ζ4−ζ4−ζ43ζ4−ζ4−ζ4003ζ−ζ−ζ3ζ−ζ−ζ00
χ713-1-1-13-100−3−3i321+i321+i321+i32−3−3i321+i3200−3+3i321−i321−i321−i32−3+3i321−i32003-1-1-13-100−3−3i321+i321+i321+i32−3−3i321+i3200−3+3i321−i321−i321−i32−3+3i321−i32003ζ8−ζ8−ζ8−ζ83ζ8−ζ8003ζ5−ζ5−ζ5−ζ53ζ5−ζ5003ζ2−ζ2−ζ2−ζ23ζ2−ζ2003ζ7−ζ7−ζ7−ζ73ζ7−ζ7003ζ4−ζ4−ζ4−ζ43ζ4−ζ4003ζ−ζ−ζ−ζ3ζ−ζ00
χ723-1-1-1-1300−3−3i321+i321+i321+i321+i32−3−3i3200−3+3i321−i321−i321−i321−i32−3+3i32003-1-1-1-1300−3−3i321+i321+i321+i321+i32−3−3i3200−3+3i321−i321−i321−i321−i32−3+3i32003ζ8−ζ8−ζ8−ζ8−ζ83ζ8003ζ5−ζ5−ζ5−ζ5−ζ53ζ5003ζ2−ζ2−ζ2−ζ2−ζ23ζ2003ζ7−ζ7−ζ7−ζ7−ζ73ζ7003ζ4−ζ4−ζ4−ζ4−ζ43ζ4003ζ−ζ−ζ−ζ−ζ3ζ00
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χ969-3-3-3-3900−9−9i323+3i323+3i323+3i323+3i32−9−9i3200−9+9i323−3i323−3i323−3i323−3i32−9+9i3200-31111-3003+3i32−1−i32−1−i32−1−i32−1−i323+3i32003−3i32−1+i32−1+i32−1+i32−1+i323−3i3200000000000000000000000000000000000000000000000000

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