Finite Group Databasebeta

← Group #13151110

Character table — Group #13151110

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1122222222222224444444444444444444444444444444448888888888888888888888888888888888121212122424242424242424242424242424242427273636363654545472727272108108
order122334466999181818223666669991212121218181818181818181818181836363636363666666666121218181818181818181818181818181818181836363636363624886121818182424363636727272727272222488244612242422
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-111
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1
χ5111111111111111-1-11111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111-1-1111-1-1-1-1-1-11111-1-111111-1-1-1-1
χ6111111111111111-1-11111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111-1-1111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111
χ7111111111111111-1-11111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-111-1-1-111111111-1-111111-1-111-1-1
χ8111111111111111-1-11111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-111-1-1-1111111-1-111-1-1-1-1-111-1-111
χ911-111-11111111111-11-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1111-1-1-11111-11-111-1-11-1111-1-1-1111111-1-1-1-1-1-1111-1-1-11-11-11-11111-1-1-1-1111-1-1-1111-11-1-11-11-11-11-1
χ1011-111-11111111111-11-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1111-1-1-11111-11-111-1-11-1111-1-1-1111111-1-1-1-1-1-1111-1-1-11-11-11-11111-1-1-1-1111-1-1-1-1-1-11-111-11-11-11-11
χ1111-111-11111111111-11-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1111-1-1-11111-11-111-1-11-1111-1-1-1111111-1-1-1-1-1-1111-1-1-1-11-11-11-1-1-1-11111-1-1-111111-11-11-11-1-11-111-1
χ1211-111-11111111111-11-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1111-1-1-11111-11-111-1-11-1111-1-1-1111111-1-1-1-1-1-1111-1-1-1-11-11-11-1-1-1-11111-1-1-1111-1-11-11-11-111-11-1-11
χ1311-111-1111111111-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1111-1-1-1111-11-11-1-1111-1-1-1-1111-1-1-1-1-1-1111111111-1-1-11-1-111-1111-11-1-1-1-1-1-1111111-1-11-11-11-1-11-11
χ1411-111-1111111111-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1111-1-1-1111-11-11-1-1111-1-1-1-1111-1-1-1-1-1-1111111111-1-1-11-1-111-1111-11-1-1-1-1-1-1111-1-1-111-11-11-111-11-1
χ1511-111-1111111111-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1111-1-1-1111-11-11-1-1111-1-1-1-1111-1-1-1-1-1-1111111111-1-1-1-111-1-11-1-1-11-1111111-1-1-111-111-1-11-1-111-1-11
χ1611-111-1111111111-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1111-1-1-1111-11-11-1-1111-1-1-1-1111-1-1-1-1-1-1111111111-1-1-1-111-1-11-1-1-11-1111111-1-1-1-1-11-1-111-111-1-111-1
χ17222222222-1-1-1-1-1-122222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-122-1-1-1-1-1-1-1-1-1000000000000000
χ18222222222-1-1-1-1-1-122222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111-2-2111111111000000000000000
χ19222222222-1-1-1-1-1-1-2-2222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222111111111111111111-1-1-1-1-1-122-2-222-1-1-1-2-2-1-1-1111111000000000000000
χ20222222222-1-1-1-1-1-1-2-2222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222111111111111111111-1-1-1-1-1-1-2-222-2-211122111-1-1-1-1-1-1000000000000000
χ2122222-2-22222222200222222222-2-2-2-2222222222222-2-2-2-2-2-200000000-2-2000000000000000000-2-2-2-2-2-2000000000000000000002200002-2-2000000
χ2222222-2-22222222200222222222-2-2-2-2222222222222-2-2-2-2-2-200000000-2-2000000000000000000-2-2-2-2-2-200000000000000000000-2-20000-222000000
χ232222-1222-122222222-12-1-1-1-1-1-1-12-12-1222-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000002222000-1-1-1-100
χ242222-1222-122222222-12-1-1-1-1-1-1-12-12-1222-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000-2-2-2-2000111100
χ252222-1222-1222222-2-2-12-1-1-1-1-1-1-12-12-1222-1-1-1-1-1-1-1-1-1222222-2-2111111-1-1-2-2-2-2-2-2111111111111-1-1-1-1-1-1000000000000000000000022-2-2000-1-11100
χ262222-1222-1222222-2-2-12-1-1-1-1-1-1-12-12-1222-1-1-1-1-1-1-1-1-1222222-2-2111111-1-1-2-2-2-2-2-2111111111111-1-1-1-1-1-10000000000000000000000-2-22200011-1-100
χ27222-1222-12ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ522-1-12-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5-12-12ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5-1-122-1-1-1-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ52222-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5000000000000000
χ28222-1222-12ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ522-1-12-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5-12-12ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5-1-122-1-1-1-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5-2-2-2-211−ζ−ζ8−ζ2−ζ7−ζ4−ζ511−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5000000000000000
χ29222-1222-12ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5-2-2-1-12-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5-12-12ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ511-2-21111-1-1−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ522-2-2-1-1ζ+ζ8ζ2+ζ7ζ4+ζ511ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5000000000000000
χ30222-1222-12ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5-2-2-1-12-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5-12-12ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ511-2-21111-1-1−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5-2-22211−ζ−ζ8−ζ2−ζ7−ζ4−ζ5-1-1−ζ−ζ8−ζ2−ζ7−ζ4−ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5000000000000000
χ31222-1222-12ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ822-1-12-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8-12-12ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8-1-122-1-1-1-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ82222-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8000000000000000
χ32222-1222-12ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ822-1-12-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8-12-12ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8-1-122-1-1-1-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8-2-2-2-211−ζ2−ζ7−ζ4−ζ5−ζ−ζ811−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8000000000000000
χ33222-1222-12ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8-2-2-1-12-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8-12-12ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ811-2-21111-1-1−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ822-2-2-1-1ζ2+ζ7ζ4+ζ5ζ+ζ811ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8000000000000000
χ34222-1222-12ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8-2-2-1-12-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8-12-12ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ811-2-21111-1-1−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8-2-22211−ζ2−ζ7−ζ4−ζ5−ζ−ζ8-1-1−ζ2−ζ7−ζ4−ζ5−ζ−ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8000000000000000
χ35222-1222-12ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ722-1-12-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7-12-12ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7-1-122-1-1-1-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ72222-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7000000000000000
χ36222-1222-12ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ722-1-12-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7-12-12ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7-1-122-1-1-1-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7-2-2-2-211−ζ4−ζ5−ζ−ζ8−ζ2−ζ711−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7000000000000000
χ37222-1222-12ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7-2-2-1-12-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7-12-12ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ711-2-21111-1-1−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ722-2-2-1-1ζ4+ζ5ζ+ζ8ζ2+ζ711ζ4+ζ5ζ+ζ8ζ2+ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7000000000000000
χ38222-1222-12ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7-2-2-1-12-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7-12-12ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ711-2-21111-1-1−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7-2-22211−ζ4−ζ5−ζ−ζ8−ζ2−ζ7-1-1−ζ4−ζ5−ζ−ζ8−ζ2−ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7000000000000000
χ3922-2222-222222222002-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2222222-2-2-200000000-22000000000000000000-2-2-222200000000000000000000220000-2-22000000
χ4022-2222-222222222002-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2222222-2-2-200000000-22000000000000000000-2-2-222200000000000000000000-2-2000022-2000000
χ4122-222-2222-1-1-1-1-1-12-22-2-2-2-22-1-1-1-2-222111111111-1-1-1111-1-1-12-22-222-2-22-2-1-1-1111-1-1-1-1-1-1111111-1-1-11112-22-22-2-1-1-12-2111-1-1-1111000000000000000
χ4222-222-2222-1-1-1-1-1-12-22-2-2-2-22-1-1-1-2-222111111111-1-1-1111-1-1-12-22-222-2-22-2-1-1-1111-1-1-1-1-1-1111111-1-1-1111-22-22-22111-22-1-1-1111-1-1-1000000000000000
χ4322-222-2222-1-1-1-1-1-1-222-2-2-2-22-1-1-1-2-222111111111-1-1-1111-1-1-1-22-22-2-2222-2111-1-1-1111111-1-1-1-1-1-1-1-1-11112-2-222-2-1-1-1-22111111-1-1-1000000000000000
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χ4522-22-1-222-12222222-2-1-2111-1-1-1-1-212-1-2-2-2111111-1-1-1-2-2-22222-2-11-1-111-11222-2-2-2-1-1-1-1-1-1111111-1-1-111100000000000000000000002-22-2000-11-1100
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χ1098-80-48004-84ζ+4ζ84ζ2+4ζ74ζ4+4ζ5−4ζ−4ζ8−4ζ2−4ζ7−4ζ4−4ζ500-4000044ζ+4ζ84ζ2+4ζ74ζ4+4ζ50000000000000−4ζ−4ζ8−4ζ2−4ζ7−4ζ4−4ζ5000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-80-48004-84ζ2+4ζ74ζ4+4ζ54ζ+4ζ8−4ζ2−4ζ7−4ζ4−4ζ5−4ζ−4ζ800-4000044ζ2+4ζ74ζ4+4ζ54ζ+4ζ80000000000000−4ζ2−4ζ7−4ζ4−4ζ5−4ζ−4ζ8000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1168-80-4-400444ζ4+4ζ54ζ+4ζ84ζ2+4ζ7−4ζ4−4ζ5−4ζ−4ζ8−4ζ2−4ζ7002006-6-2−2ζ4−2ζ5−2ζ−2ζ8−2ζ2−2ζ70000000−4ζ+4ζ2−2ζ4+2ζ54ζ−4ζ2+2ζ4−2ζ52ζ−2ζ2+4ζ4+2ζ5−2ζ+2ζ2−4ζ4−2ζ52ζ−2ζ2−2ζ4−4ζ5−2ζ+2ζ2+2ζ4+4ζ52ζ4+2ζ52ζ+2ζ82ζ2+2ζ7000000000000000000000000000000000000000000000000000000000000000000000000000
χ1178-80-4-400444ζ4+4ζ54ζ+4ζ84ζ2+4ζ7−4ζ4−4ζ5−4ζ−4ζ8−4ζ2−4ζ700200-66-2−2ζ4−2ζ5−2ζ−2ζ8−2ζ2−2ζ700000004ζ−4ζ2+2ζ4−2ζ5−4ζ+4ζ2−2ζ4+2ζ5−2ζ+2ζ2−4ζ4−2ζ52ζ−2ζ2+4ζ4+2ζ5−2ζ+2ζ2+2ζ4+4ζ52ζ−2ζ2−2ζ4−4ζ52ζ4+2ζ52ζ+2ζ82ζ2+2ζ7000000000000000000000000000000000000000000000000000000000000000000000000000

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