Finite Group Databasebeta

← Group #13147076

Character table — Group #13147076

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size112222222224444444444444668888888888888888881212121212121212121212121212121212161616161616161616161616161616161616161616161616161616108108216216216
order1233334666641212121212121212121212122499999999918181818181818181826666666666661212121236363636363636363636363636363636363636363636363636363644288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1
χ311111111111-11111-1-1-1-1-1-1-1-111111111111111111111-1111-1-1-1-1-1-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1
χ411111111111-11111-1-1-1-1-1-1-1-111111111111111111111-1111-1-1-1-1-1-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11
χ522222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000
χ622222222222-22222-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2222-2-2-2-2-2-22-2-22222-1-1-1-1-1-1-1-1-111111111111111111100000
χ7222222-222220-2-2-2-200000000-222222222222222222220-2-2-2000000-2002222-2-2-2-2-2-2-2-2-200000000000000000000000
χ8222222-222220-2-2-2-200000000-22-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10-2-2-2000000-2002222111111111i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3−i300000
χ9222222-222220-2-2-2-200000000-22-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10-2-2-2000000-2002222111111111−i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3i300000
χ10222-1-1-122-1-1-122-1-1-122-1-1-1-1-1-122ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ522-1-122-1-1-1-1-1-1-12-1-1-1ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ500000
χ11222-1-1-122-1-1-122-1-1-122-1-1-1-1-1-122ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ822-1-122-1-1-1-1-1-1-12-1-1-1ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ800000
χ12222-1-1-122-1-1-122-1-1-122-1-1-1-1-1-122ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ722-1-122-1-1-1-1-1-1-12-1-1-1ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ700000
χ13222-1-1-122-1-1-1-22-1-1-1-2-211111122ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5-22-1-1-2-21111-1112-1-1-1ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ4−ζ500000
χ14222-1-1-122-1-1-1-22-1-1-1-2-211111122ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8-22-1-1-2-21111-1112-1-1-1ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ−ζ800000
χ15222-1-1-122-1-1-1-22-1-1-1-2-211111122ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7-22-1-1-2-21111-1112-1-1-1ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ2−ζ700000
χ16222-1-1-1-22-1-1-10-211100i3i3i3−i3−i3−i3-22ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ50-21100i3i3−i3−i31i3−i32-1-1-1−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5ζ−ζ8ζ−ζ8ζ−ζ8−ζ2+ζ7−ζ2+ζ7−ζ2+ζ7ζ4−ζ5ζ4−ζ5ζ4−ζ5−ζ+ζ8−ζ+ζ8−ζ+ζ8ζ2−ζ7ζ2−ζ7ζ2−ζ7−ζ4+ζ5−ζ4+ζ5−ζ4+ζ500000
χ17222-1-1-1-22-1-1-10-211100i3i3i3−i3−i3−i3-22ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ80-21100i3i3−i3−i31i3−i32-1-1-1−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ2+ζ7−ζ2+ζ7−ζ2+ζ7ζ4−ζ5ζ4−ζ5ζ4−ζ5ζ−ζ8ζ−ζ8ζ−ζ8ζ2−ζ7ζ2−ζ7ζ2−ζ7−ζ4+ζ5−ζ4+ζ5−ζ4+ζ5−ζ+ζ8−ζ+ζ8−ζ+ζ800000
χ18222-1-1-1-22-1-1-10-211100i3i3i3−i3−i3−i3-22ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ70-21100i3i3−i3−i31i3−i32-1-1-1−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7ζ4−ζ5ζ4−ζ5ζ4−ζ5ζ−ζ8ζ−ζ8ζ−ζ8−ζ2+ζ7−ζ2+ζ7−ζ2+ζ7−ζ4+ζ5−ζ4+ζ5−ζ4+ζ5−ζ+ζ8−ζ+ζ8−ζ+ζ8ζ2−ζ7ζ2−ζ7ζ2−ζ700000
χ19222-1-1-1-22-1-1-10-211100−i3−i3−i3i3i3i3-22ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ50-21100−i3−i3i3i31−i3i32-1-1-1−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ+ζ8−ζ+ζ8−ζ+ζ8ζ2−ζ7ζ2−ζ7ζ2−ζ7−ζ4+ζ5−ζ4+ζ5−ζ4+ζ5ζ−ζ8ζ−ζ8ζ−ζ8−ζ2+ζ7−ζ2+ζ7−ζ2+ζ7ζ4−ζ5ζ4−ζ5ζ4−ζ500000
χ20222-1-1-1-22-1-1-10-211100−i3−i3−i3i3i3i3-22ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ80-21100−i3−i3i3i31−i3i32-1-1-1−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ−ζ8ζ2−ζ7ζ2−ζ7ζ2−ζ7−ζ4+ζ5−ζ4+ζ5−ζ4+ζ5−ζ+ζ8−ζ+ζ8−ζ+ζ8−ζ2+ζ7−ζ2+ζ7−ζ2+ζ7ζ4−ζ5ζ4−ζ5ζ4−ζ5ζ−ζ8ζ−ζ8ζ−ζ800000
χ21222-1-1-1-22-1-1-10-211100−i3−i3−i3i3i3i3-22ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ70-21100−i3−i3i3i31−i3i32-1-1-1−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ4+ζ5−ζ4+ζ5−ζ4+ζ5−ζ+ζ8−ζ+ζ8−ζ+ζ8ζ2−ζ7ζ2−ζ7ζ2−ζ7ζ4−ζ5ζ4−ζ5ζ4−ζ5ζ−ζ8ζ−ζ8ζ−ζ8−ζ2+ζ7−ζ2+ζ7−ζ2+ζ700000
χ2222-12-1-12-12-1-12-12-1-1-1-12-1-12-1-122ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ52-12-1-1-12-12-1-1-1-1-12-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ500000
χ2322-12-1-12-12-1-12-12-1-1-1-12-1-12-1-122ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ82-12-1-1-12-12-1-1-1-1-12-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ800000
χ2422-12-1-12-12-1-12-12-1-1-1-12-1-12-1-122ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ72-12-1-1-12-12-1-1-1-1-12-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ700000
χ2522-12-1-12-12-1-1-2-12-1-111-211-21122ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5-2-12-111-21-21-111-12-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ500000
χ2622-12-1-12-12-1-1-2-12-1-111-211-21122ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8-2-12-111-21-21-111-12-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ800000
χ2722-12-1-12-12-1-1-2-12-1-111-211-21122ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7-2-12-111-21-21-111-12-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ700000
χ2822-12-1-1-2-12-1-101-211i3−i30i3−i30i3−i3-22ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ501-21i3−i30i30−i31−i3i3-12-1-1−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ+ζ8ζ2−ζ7−ζ4+ζ5−ζ+ζ8ζ2−ζ7−ζ4+ζ5−ζ+ζ8ζ2−ζ7−ζ4+ζ5ζ−ζ8−ζ2+ζ7ζ4−ζ5ζ−ζ8−ζ2+ζ7ζ4−ζ5ζ−ζ8−ζ2+ζ7ζ4−ζ500000
χ2922-12-1-1-2-12-1-101-211i3−i30i3−i30i3−i3-22ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ801-21i3−i30i30−i31−i3i3-12-1-1−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8ζ2−ζ7−ζ4+ζ5−ζ+ζ8ζ2−ζ7−ζ4+ζ5−ζ+ζ8ζ2−ζ7−ζ4+ζ5−ζ+ζ8−ζ2+ζ7ζ4−ζ5ζ−ζ8−ζ2+ζ7ζ4−ζ5ζ−ζ8−ζ2+ζ7ζ4−ζ5ζ−ζ800000
χ3022-12-1-1-2-12-1-101-211i3−i30i3−i30i3−i3-22ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ701-21i3−i30i30−i31−i3i3-12-1-1−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4+ζ5−ζ+ζ8ζ2−ζ7−ζ4+ζ5−ζ+ζ8ζ2−ζ7−ζ4+ζ5−ζ+ζ8ζ2−ζ7ζ4−ζ5ζ−ζ8−ζ2+ζ7ζ4−ζ5ζ−ζ8−ζ2+ζ7ζ4−ζ5ζ−ζ8−ζ2+ζ700000
χ3122-12-1-1-2-12-1-101-211−i3i30−i3i30−i3i3-22ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ501-21−i3i30−i30i31i3−i3-12-1-1−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5ζ−ζ8−ζ2+ζ7ζ4−ζ5ζ−ζ8−ζ2+ζ7ζ4−ζ5ζ−ζ8−ζ2+ζ7ζ4−ζ5−ζ+ζ8ζ2−ζ7−ζ4+ζ5−ζ+ζ8ζ2−ζ7−ζ4+ζ5−ζ+ζ8ζ2−ζ7−ζ4+ζ500000
χ3222-12-1-1-2-12-1-101-211−i3i30−i3i30−i3i3-22ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ801-21−i3i30−i30i31i3−i3-12-1-1−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2+ζ7ζ4−ζ5ζ−ζ8−ζ2+ζ7ζ4−ζ5ζ−ζ8−ζ2+ζ7ζ4−ζ5ζ−ζ8ζ2−ζ7−ζ4+ζ5−ζ+ζ8ζ2−ζ7−ζ4+ζ5−ζ+ζ8ζ2−ζ7−ζ4+ζ5−ζ+ζ800000
χ3322-12-1-1-2-12-1-101-211−i3i30−i3i30−i3i3-22ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ701-21−i3i30−i30i31i3−i3-12-1-1−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7ζ4−ζ5ζ−ζ8−ζ2+ζ7ζ4−ζ5ζ−ζ8−ζ2+ζ7ζ4−ζ5ζ−ζ8−ζ2+ζ7−ζ4+ζ5−ζ+ζ8ζ2−ζ7−ζ4+ζ5−ζ+ζ8ζ2−ζ7−ζ4+ζ5−ζ+ζ8ζ2−ζ700000
χ3422-1-12-12-1-12-12-1-12-1-1-1-12-1-1-1222ζ+ζ8ζ4+ζ5ζ2+ζ7ζ4+ζ5ζ2+ζ7ζ+ζ8ζ2+ζ7ζ+ζ8ζ4+ζ5ζ+ζ8ζ4+ζ5ζ2+ζ7ζ4+ζ5ζ2+ζ7ζ+ζ8ζ2+ζ7ζ+ζ8ζ4+ζ52-1-12-1-1-12-12-1-1-1-1-12-1ζ+ζ8ζ4+ζ5ζ2+ζ7ζ4+ζ5ζ2+ζ7ζ+ζ8ζ2+ζ7ζ+ζ8ζ4+ζ5ζ+ζ8ζ4+ζ5ζ2+ζ7ζ4+ζ5ζ2+ζ7ζ+ζ8ζ2+ζ7ζ+ζ8ζ4+ζ5ζ+ζ8ζ4+ζ5ζ2+ζ7ζ4+ζ5ζ2+ζ7ζ+ζ8ζ2+ζ7ζ+ζ8ζ4+ζ500000
χ3522-1-12-12-1-12-12-1-12-1-1-1-12-1-1-1222ζ2+ζ7ζ+ζ8ζ4+ζ5ζ+ζ8ζ4+ζ5ζ2+ζ7ζ4+ζ5ζ2+ζ7ζ+ζ8ζ2+ζ7ζ+ζ8ζ4+ζ5ζ+ζ8ζ4+ζ5ζ2+ζ7ζ4+ζ5ζ2+ζ7ζ+ζ82-1-12-1-1-12-12-1-1-1-1-12-1ζ2+ζ7ζ+ζ8ζ4+ζ5ζ+ζ8ζ4+ζ5ζ2+ζ7ζ4+ζ5ζ2+ζ7ζ+ζ8ζ2+ζ7ζ+ζ8ζ4+ζ5ζ+ζ8ζ4+ζ5ζ2+ζ7ζ4+ζ5ζ2+ζ7ζ+ζ8ζ2+ζ7ζ+ζ8ζ4+ζ5ζ+ζ8ζ4+ζ5ζ2+ζ7ζ4+ζ5ζ2+ζ7ζ+ζ800000
χ3622-1-12-12-1-12-12-1-12-1-1-1-12-1-1-1222ζ4+ζ5ζ2+ζ7ζ+ζ8ζ2+ζ7ζ+ζ8ζ4+ζ5ζ+ζ8ζ4+ζ5ζ2+ζ7ζ4+ζ5ζ2+ζ7ζ+ζ8ζ2+ζ7ζ+ζ8ζ4+ζ5ζ+ζ8ζ4+ζ5ζ2+ζ72-1-12-1-1-12-12-1-1-1-1-12-1ζ4+ζ5ζ2+ζ7ζ+ζ8ζ2+ζ7ζ+ζ8ζ4+ζ5ζ+ζ8ζ4+ζ5ζ2+ζ7ζ4+ζ5ζ2+ζ7ζ+ζ8ζ2+ζ7ζ+ζ8ζ4+ζ5ζ+ζ8ζ4+ζ5ζ2+ζ7ζ4+ζ5ζ2+ζ7ζ+ζ8ζ2+ζ7ζ+ζ8ζ4+ζ5ζ+ζ8ζ4+ζ5ζ2+ζ700000
χ3722-1-12-12-1-12-1-2-1-12-1111-2111-222ζ+ζ8ζ4+ζ5ζ2+ζ7ζ4+ζ5ζ2+ζ7ζ+ζ8ζ2+ζ7ζ+ζ8ζ4+ζ5ζ+ζ8ζ4+ζ5ζ2+ζ7ζ4+ζ5ζ2+ζ7ζ+ζ8ζ2+ζ7ζ+ζ8ζ4+ζ5-2-1-12111-21-2-111-1-12-1ζ+ζ8ζ4+ζ5ζ2+ζ7ζ4+ζ5ζ2+ζ7ζ+ζ8ζ2+ζ7ζ+ζ8ζ4+ζ5−ζ−ζ8−ζ4−ζ5−ζ2−ζ7−ζ4−ζ5−ζ2−ζ7−ζ−ζ8−ζ2−ζ7−ζ−ζ8−ζ4−ζ5−ζ−ζ8−ζ4−ζ5−ζ2−ζ7−ζ4−ζ5−ζ2−ζ7−ζ−ζ8−ζ2−ζ7−ζ−ζ8−ζ4−ζ500000
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χ4422-1-12-1-2-1-12-1011-21−i3i3i30−i3−i3i30-22ζ2+ζ7ζ+ζ8ζ4+ζ5ζ+ζ8ζ4+ζ5ζ2+ζ7ζ4+ζ5ζ2+ζ7ζ+ζ8ζ2+ζ7ζ+ζ8ζ4+ζ5ζ+ζ8ζ4+ζ5ζ2+ζ7ζ4+ζ5ζ2+ζ7ζ+ζ8011-2−i3i3i30−i301−i3i3-1-12-1−ζ2−ζ7−ζ−ζ8−ζ4−ζ5−ζ−ζ8−ζ4−ζ5−ζ2−ζ7−ζ4−ζ5−ζ2−ζ7−ζ−ζ8ζ2−ζ7−ζ+ζ8−ζ4+ζ5−ζ+ζ8−ζ4+ζ5ζ2−ζ7−ζ4+ζ5ζ2−ζ7−ζ+ζ8−ζ2+ζ7ζ−ζ8ζ4−ζ5ζ−ζ8ζ4−ζ5−ζ2+ζ7ζ4−ζ5−ζ2+ζ7ζ−ζ800000
χ4522-1-12-1-2-1-12-1011-21−i3i3i30−i3−i3i30-22ζ4+ζ5ζ2+ζ7ζ+ζ8ζ2+ζ7ζ+ζ8ζ4+ζ5ζ+ζ8ζ4+ζ5ζ2+ζ7ζ4+ζ5ζ2+ζ7ζ+ζ8ζ2+ζ7ζ+ζ8ζ4+ζ5ζ+ζ8ζ4+ζ5ζ2+ζ7011-2−i3i3i30−i301−i3i3-1-12-1−ζ4−ζ5−ζ2−ζ7−ζ−ζ8−ζ2−ζ7−ζ−ζ8−ζ4−ζ5−ζ−ζ8−ζ4−ζ5−ζ2−ζ7−ζ4+ζ5ζ2−ζ7−ζ+ζ8ζ2−ζ7−ζ+ζ8−ζ4+ζ5−ζ+ζ8−ζ4+ζ5ζ2−ζ7ζ4−ζ5−ζ2+ζ7ζ−ζ8−ζ2+ζ7ζ−ζ8ζ4−ζ5ζ−ζ8ζ4−ζ5−ζ2+ζ700000
χ4622-1-1-122-1-1-122-1-1-12-1-1-1-12-12-1222-1-1-12-1-1-122-1-1-12-1-1-122-1-1-1-1-1-1-1-1-1222-1-1-122-1-1-12-1-1-122-1-1-12-1-1-122-1-1-12-1-1-1200000
χ4722-1-1-122-1-1-122-1-1-12-1-1-1-12-12-122-12-1-1-122-1-1-12-1-1-122-1-12-1-1-1-1-1-1-1-1-1222-1-1-12-12-1-1-122-1-1-12-1-1-122-1-1-12-1-1-122-1-100000
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Here ζ is a primitive root of unity of order 9 (ζ9 = 1); i = ζ2.