Finite Group Databasebeta

← Group #63539

Character table — Group #63539

Order 288.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size112224444441122244444411222444444112224444441122244444411222444444112224444441122244444411222444444
order12244244488918183636183636367272918183636183636367272366121261212122424918183636183636367272918183636183636367272366121261212122424918183636183636367272918183636183636367272
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111-1-1-1-11111111-1-1-1-11111111-1-1-1-11111111-1-1-1-11111111-1-1-1-11111111-1-1-1-11111111-1-1-1-11111111-1-1-1-11111111-1-1-1-1
χ311111-1-111-1-111111-1-111-1-111111-1-111-1-111111-1-111-1-111111-1-111-1-111111-1-111-1-111111-1-111-1-111111-1-111-1-111111-1-111-1-1
χ411111-1-1-1-11111111-1-1-1-11111111-1-1-1-11111111-1-1-1-11111111-1-1-1-11111111-1-1-1-11111111-1-1-1-11111111-1-1-1-11111111-1-1-1-111
χ511-1-111-11-11-111-1-111-11-11-111-1-111-11-11-111-1-111-11-11-111-1-111-11-11-111-1-111-11-11-111-1-111-11-11-111-1-111-11-11-111-1-111-11-11-1
χ611-1-111-1-11-1111-1-111-1-11-1111-1-111-1-11-1111-1-111-1-11-1111-1-111-1-11-1111-1-111-1-11-1111-1-111-1-11-1111-1-111-1-11-1111-1-111-1-11-11
χ711-1-11-111-1-1111-1-11-111-1-1111-1-11-111-1-1111-1-11-111-1-1111-1-11-111-1-1111-1-11-111-1-1111-1-11-111-1-1111-1-11-111-1-1111-1-11-111-1-11
χ811-1-11-11-111-111-1-11-11-111-111-1-11-11-111-111-1-11-11-111-111-1-11-11-111-111-1-11-11-111-111-1-11-11-111-111-1-11-11-111-111-1-11-11-111-1
χ9222-2-2000000222-2-2000000222-2-2000000222-2-2000000222-2-2000000222-2-2000000222-2-2000000222-2-2000000222-2-2000000
χ1022-22-200000022-22-200000022-22-200000022-22-200000022-22-200000022-22-200000022-22-200000022-22-200000022-22-2000000
χ114-40000000004-40000000004-40000000004-40000000004-40000000004-40000000004-40000000004-40000000004-4000000000
χ1211111111111ζζζζζζζζζζζζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8
χ131111111-1-1-1-1ζζζζζζζ−ζ−ζ−ζ−ζζ2ζ2ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ4ζ4ζ4ζ4ζ4ζ4ζ4−ζ4−ζ4−ζ4−ζ4ζ5ζ5ζ5ζ5ζ5ζ5ζ5−ζ5−ζ5−ζ5−ζ5−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ7ζ7ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ8ζ8ζ8ζ8ζ8ζ8ζ8−ζ8−ζ8−ζ8−ζ8
χ1411111-1-111-1-1ζζζζζ−ζ−ζζζ−ζ−ζζ2ζ2ζ2ζ2ζ2−ζ2−ζ2ζ2ζ2−ζ2−ζ2−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ4ζ4ζ4ζ4ζ4−ζ4−ζ4ζ4ζ4−ζ4−ζ4ζ5ζ5ζ5ζ5ζ5−ζ5−ζ5ζ5ζ5−ζ5−ζ5−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ8ζ8ζ8ζ8ζ8−ζ8−ζ8ζ8ζ8−ζ8−ζ8
χ1511111-1-1-1-111ζζζζζ−ζ−ζ−ζ−ζζζζ2ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ2ζ2−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32ζ4ζ4ζ4ζ4ζ4−ζ4−ζ4−ζ4−ζ4ζ4ζ4ζ5ζ5ζ5ζ5ζ5−ζ5−ζ5−ζ5−ζ5ζ5ζ5−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ8ζ8ζ8ζ8ζ8−ζ8−ζ8−ζ8−ζ8ζ8ζ8
χ1611-1-111-11-11-1ζζ−ζ−ζζζ−ζζ−ζζ−ζζ2ζ2−ζ2−ζ2ζ2ζ2−ζ2ζ2−ζ2ζ2−ζ2−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32ζ4ζ4−ζ4−ζ4ζ4ζ4−ζ4ζ4−ζ4ζ4−ζ4ζ5ζ5−ζ5−ζ5ζ5ζ5−ζ5ζ5−ζ5ζ5−ζ5−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ8ζ8−ζ8−ζ8ζ8ζ8−ζ8ζ8−ζ8ζ8−ζ8
χ1711-1-111-1-11-11ζζ−ζ−ζζζ−ζ−ζζ−ζζζ2ζ2−ζ2−ζ2ζ2ζ2−ζ2−ζ2ζ2−ζ2ζ2−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32ζ4ζ4−ζ4−ζ4ζ4ζ4−ζ4−ζ4ζ4−ζ4ζ4ζ5ζ5−ζ5−ζ5ζ5ζ5−ζ5−ζ5ζ5−ζ5ζ5−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7−ζ7ζ7ζ8ζ8−ζ8−ζ8ζ8ζ8−ζ8−ζ8ζ8−ζ8ζ8
χ1811-1-11-111-1-11ζζ−ζ−ζζ−ζζζ−ζ−ζζζ2ζ2−ζ2−ζ2ζ2−ζ2ζ2ζ2−ζ2−ζ2ζ2−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32ζ4ζ4−ζ4−ζ4ζ4−ζ4ζ4ζ4−ζ4−ζ4ζ4ζ5ζ5−ζ5−ζ5ζ5−ζ5ζ5ζ5−ζ5−ζ5ζ5−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32ζ7ζ7−ζ7−ζ7ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ8ζ8−ζ8−ζ8ζ8−ζ8ζ8ζ8−ζ8−ζ8ζ8
χ1911-1-11-11-111-1ζζ−ζ−ζζ−ζζ−ζζζ−ζζ2ζ2−ζ2−ζ2ζ2−ζ2ζ2−ζ2ζ2ζ2−ζ2−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32ζ4ζ4−ζ4−ζ4ζ4−ζ4ζ4−ζ4ζ4ζ4−ζ4ζ5ζ5−ζ5−ζ5ζ5−ζ5ζ5−ζ5ζ5ζ5−ζ5−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32ζ7ζ7−ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ7ζ7−ζ7ζ8ζ8−ζ8−ζ8ζ8−ζ8ζ8−ζ8ζ8ζ8−ζ8
χ20222-2-20000002ζ2ζ2ζ−2ζ−2ζ0000002ζ22ζ22ζ2−2ζ2−2ζ2000000−1+i3−1+i3−1+i31−i31−i30000002ζ42ζ42ζ4−2ζ4−2ζ40000002ζ52ζ52ζ5−2ζ5−2ζ5000000−1−i3−1−i3−1−i31+i31+i30000002ζ72ζ72ζ7−2ζ7−2ζ70000002ζ82ζ82ζ8−2ζ8−2ζ8000000
χ2122-22-20000002ζ2ζ−2ζ2ζ−2ζ0000002ζ22ζ2−2ζ22ζ2−2ζ2000000−1+i3−1+i31−i3−1+i31−i30000002ζ42ζ4−2ζ42ζ4−2ζ40000002ζ52ζ5−2ζ52ζ5−2ζ5000000−1−i3−1−i31+i3−1−i31+i30000002ζ72ζ7−2ζ72ζ7−2ζ70000002ζ82ζ8−2ζ82ζ8−2ζ8000000
χ224-40000000004ζ−4ζ0000000004ζ2−4ζ2000000000−2+2i32−2i30000000004ζ4−4ζ40000000004ζ5−4ζ5000000000−2−2i32+2i30000000004ζ7−4ζ70000000004ζ8−4ζ8000000000
χ2311111111111ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζζζζζζζζζζζ−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7
χ241111111-1-1-1-1ζ2ζ2ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ4ζ4ζ4ζ4ζ4ζ4ζ4−ζ4−ζ4−ζ4−ζ4−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ8ζ8ζ8ζ8ζ8ζ8ζ8−ζ8−ζ8−ζ8−ζ8ζζζζζζζ−ζ−ζ−ζ−ζ−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ5ζ5ζ5ζ5ζ5ζ5ζ5−ζ5−ζ5−ζ5−ζ5ζ7ζ7ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7
χ2511111-1-111-1-1ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2ζ2ζ2−ζ2−ζ2ζ4ζ4ζ4ζ4ζ4−ζ4−ζ4ζ4ζ4−ζ4−ζ4−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ8ζ8ζ8ζ8ζ8−ζ8−ζ8ζ8ζ8−ζ8−ζ8ζζζζζ−ζ−ζζζ−ζ−ζ−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ5ζ5ζ5ζ5ζ5−ζ5−ζ5ζ5ζ5−ζ5−ζ5ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7
χ2611111-1-1-1-111ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ4ζ4ζ4ζ4ζ4−ζ4−ζ4−ζ4−ζ4ζ4ζ4−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32ζ8ζ8ζ8ζ8ζ8−ζ8−ζ8−ζ8−ζ8ζ8ζ8ζζζζζ−ζ−ζ−ζ−ζζζ−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32ζ5ζ5ζ5ζ5ζ5−ζ5−ζ5−ζ5−ζ5ζ5ζ5ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7
χ2711-1-111-11-11-1ζ2ζ2−ζ2−ζ2ζ2ζ2−ζ2ζ2−ζ2ζ2−ζ2ζ4ζ4−ζ4−ζ4ζ4ζ4−ζ4ζ4−ζ4ζ4−ζ4−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32ζ8ζ8−ζ8−ζ8ζ8ζ8−ζ8ζ8−ζ8ζ8−ζ8ζζ−ζ−ζζζ−ζζ−ζζ−ζ−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32ζ5ζ5−ζ5−ζ5ζ5ζ5−ζ5ζ5−ζ5ζ5−ζ5ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ7
χ2811-1-111-1-11-11ζ2ζ2−ζ2−ζ2ζ2ζ2−ζ2−ζ2ζ2−ζ2ζ2ζ4ζ4−ζ4−ζ4ζ4ζ4−ζ4−ζ4ζ4−ζ4ζ4−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32ζ8ζ8−ζ8−ζ8ζ8ζ8−ζ8−ζ8ζ8−ζ8ζ8ζζ−ζ−ζζζ−ζ−ζζ−ζζ−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32ζ5ζ5−ζ5−ζ5ζ5ζ5−ζ5−ζ5ζ5−ζ5ζ5ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7−ζ7ζ7
χ2911-1-11-111-1-11ζ2ζ2−ζ2−ζ2ζ2−ζ2ζ2ζ2−ζ2−ζ2ζ2ζ4ζ4−ζ4−ζ4ζ4−ζ4ζ4ζ4−ζ4−ζ4ζ4−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32ζ8ζ8−ζ8−ζ8ζ8−ζ8ζ8ζ8−ζ8−ζ8ζ8ζζ−ζ−ζζ−ζζζ−ζ−ζζ−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32ζ5ζ5−ζ5−ζ5ζ5−ζ5ζ5ζ5−ζ5−ζ5ζ5ζ7ζ7−ζ7−ζ7ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7
χ3011-1-11-11-111-1ζ2ζ2−ζ2−ζ2ζ2−ζ2ζ2−ζ2ζ2ζ2−ζ2ζ4ζ4−ζ4−ζ4ζ4−ζ4ζ4−ζ4ζ4ζ4−ζ4−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32ζ8ζ8−ζ8−ζ8ζ8−ζ8ζ8−ζ8ζ8ζ8−ζ8ζζ−ζ−ζζ−ζζ−ζζζ−ζ−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32ζ5ζ5−ζ5−ζ5ζ5−ζ5ζ5−ζ5ζ5ζ5−ζ5ζ7ζ7−ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ7ζ7−ζ7
χ31222-2-20000002ζ22ζ22ζ2−2ζ2−2ζ20000002ζ42ζ42ζ4−2ζ4−2ζ4000000−1−i3−1−i3−1−i31+i31+i30000002ζ82ζ82ζ8−2ζ8−2ζ80000002ζ2ζ2ζ−2ζ−2ζ000000−1+i3−1+i3−1+i31−i31−i30000002ζ52ζ52ζ5−2ζ5−2ζ50000002ζ72ζ72ζ7−2ζ7−2ζ7000000
χ3222-22-20000002ζ22ζ2−2ζ22ζ2−2ζ20000002ζ42ζ4−2ζ42ζ4−2ζ4000000−1−i3−1−i31+i3−1−i31+i30000002ζ82ζ8−2ζ82ζ8−2ζ80000002ζ2ζ−2ζ2ζ−2ζ000000−1+i3−1+i31−i3−1+i31−i30000002ζ52ζ5−2ζ52ζ5−2ζ50000002ζ72ζ7−2ζ72ζ7−2ζ7000000
χ334-40000000004ζ2−4ζ20000000004ζ4−4ζ4000000000−2−2i32+2i30000000004ζ8−4ζ80000000004ζ−4ζ000000000−2+2i32−2i30000000004ζ5−4ζ50000000004ζ7−4ζ7000000000
χ3411111111111−1+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−i3211111111111−1+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−i3211111111111−1+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
χ351111111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321111111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321111111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ3611111-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i3211111-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i3211111-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ3711111-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i3211111-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i3211111-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ3811-1-111-11-11-1−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i3211-1-111-11-11-1−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i3211-1-111-11-11-1−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32
χ3911-1-111-1-11-11−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i3211-1-111-1-11-11−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i3211-1-111-1-11-11−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32
χ4011-1-11-111-1-11−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i3211-1-11-111-1-11−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i3211-1-11-111-1-11−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32
χ4111-1-11-11-111-1−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i3211-1-11-11-111-1−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i3211-1-11-11-111-1−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32
χ42222-2-2000000−1+i3−1+i3−1+i31−i31−i3000000−1−i3−1−i3−1−i31+i31+i3000000222-2-2000000−1+i3−1+i3−1+i31−i31−i3000000−1−i3−1−i3−1−i31+i31+i3000000222-2-2000000−1+i3−1+i3−1+i31−i31−i3000000−1−i3−1−i3−1−i31+i31+i3000000
χ4322-22-2000000−1+i3−1+i31−i3−1+i31−i3000000−1−i3−1−i31+i3−1−i31+i300000022-22-2000000−1+i3−1+i31−i3−1+i31−i3000000−1−i3−1−i31+i3−1−i31+i300000022-22-2000000−1+i3−1+i31−i3−1+i31−i3000000−1−i3−1−i31+i3−1−i31+i3000000
χ444-4000000000−2+2i32−2i3000000000−2−2i32+2i30000000004-4000000000−2+2i32−2i3000000000−2−2i32+2i30000000004-4000000000−2+2i32−2i3000000000−2−2i32+2i3000000000
χ4511111111111ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32ζζζζζζζζζζζζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5
χ461111111-1-1-1-1ζ4ζ4ζ4ζ4ζ4ζ4ζ4−ζ4−ζ4−ζ4−ζ4ζ8ζ8ζ8ζ8ζ8ζ8ζ8−ζ8−ζ8−ζ8−ζ8−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ7ζ7ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ2ζ2ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζζζζζζζ−ζ−ζ−ζ−ζζ5ζ5ζ5ζ5ζ5ζ5ζ5−ζ5−ζ5−ζ5−ζ5
χ4711111-1-111-1-1ζ4ζ4ζ4ζ4ζ4−ζ4−ζ4ζ4ζ4−ζ4−ζ4ζ8ζ8ζ8ζ8ζ8−ζ8−ζ8ζ8ζ8−ζ8−ζ8−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2ζ2ζ2−ζ2−ζ2−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζζζζζ−ζ−ζζζ−ζ−ζζ5ζ5ζ5ζ5ζ5−ζ5−ζ5ζ5ζ5−ζ5−ζ5
χ4811111-1-1-1-111ζ4ζ4ζ4ζ4ζ4−ζ4−ζ4−ζ4−ζ4ζ4ζ4ζ8ζ8ζ8ζ8ζ8−ζ8−ζ8−ζ8−ζ8ζ8ζ8−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ2ζ2−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32ζζζζζ−ζ−ζ−ζ−ζζζζ5ζ5ζ5ζ5ζ5−ζ5−ζ5−ζ5−ζ5ζ5ζ5
χ4911-1-111-11-11-1ζ4ζ4−ζ4−ζ4ζ4ζ4−ζ4ζ4−ζ4ζ4−ζ4ζ8ζ8−ζ8−ζ8ζ8ζ8−ζ8ζ8−ζ8ζ8−ζ8−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ2ζ2−ζ2−ζ2ζ2ζ2−ζ2ζ2−ζ2ζ2−ζ2−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32ζζ−ζ−ζζζ−ζζ−ζζ−ζζ5ζ5−ζ5−ζ5ζ5ζ5−ζ5ζ5−ζ5ζ5−ζ5
χ5011-1-111-1-11-11ζ4ζ4−ζ4−ζ4ζ4ζ4−ζ4−ζ4ζ4−ζ4ζ4ζ8ζ8−ζ8−ζ8ζ8ζ8−ζ8−ζ8ζ8−ζ8ζ8−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7−ζ7ζ7ζ2ζ2−ζ2−ζ2ζ2ζ2−ζ2−ζ2ζ2−ζ2ζ2−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32ζζ−ζ−ζζζ−ζ−ζζ−ζζζ5ζ5−ζ5−ζ5ζ5ζ5−ζ5−ζ5ζ5−ζ5ζ5
χ5111-1-11-111-1-11ζ4ζ4−ζ4−ζ4ζ4−ζ4ζ4ζ4−ζ4−ζ4ζ4ζ8ζ8−ζ8−ζ8ζ8−ζ8ζ8ζ8−ζ8−ζ8ζ8−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32ζ7ζ7−ζ7−ζ7ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ2ζ2−ζ2−ζ2ζ2−ζ2ζ2ζ2−ζ2−ζ2ζ2−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32ζζ−ζ−ζζ−ζζζ−ζ−ζζζ5ζ5−ζ5−ζ5ζ5−ζ5ζ5ζ5−ζ5−ζ5ζ5
χ5211-1-11-11-111-1ζ4ζ4−ζ4−ζ4ζ4−ζ4ζ4−ζ4ζ4ζ4−ζ4ζ8ζ8−ζ8−ζ8ζ8−ζ8ζ8−ζ8ζ8ζ8−ζ8−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32ζ7ζ7−ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ7ζ7−ζ7ζ2ζ2−ζ2−ζ2ζ2−ζ2ζ2−ζ2ζ2ζ2−ζ2−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32ζζ−ζ−ζζ−ζζ−ζζζ−ζζ5ζ5−ζ5−ζ5ζ5−ζ5ζ5−ζ5ζ5ζ5−ζ5
χ53222-2-20000002ζ42ζ42ζ4−2ζ4−2ζ40000002ζ82ζ82ζ8−2ζ8−2ζ8000000−1+i3−1+i3−1+i31−i31−i30000002ζ72ζ72ζ7−2ζ7−2ζ70000002ζ22ζ22ζ2−2ζ2−2ζ2000000−1−i3−1−i3−1−i31+i31+i30000002ζ2ζ2ζ−2ζ−2ζ0000002ζ52ζ52ζ5−2ζ5−2ζ5000000
χ5422-22-20000002ζ42ζ4−2ζ42ζ4−2ζ40000002ζ82ζ8−2ζ82ζ8−2ζ8000000−1+i3−1+i31−i3−1+i31−i30000002ζ72ζ7−2ζ72ζ7−2ζ70000002ζ22ζ2−2ζ22ζ2−2ζ2000000−1−i3−1−i31+i3−1−i31+i30000002ζ2ζ−2ζ2ζ−2ζ0000002ζ52ζ5−2ζ52ζ5−2ζ5000000
χ554-40000000004ζ4−4ζ40000000004ζ8−4ζ8000000000−2+2i32−2i30000000004ζ7−4ζ70000000004ζ2−4ζ2000000000−2−2i32+2i30000000004ζ−4ζ0000000004ζ5−4ζ5000000000
χ5611111111111ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζζζζζζζζζζζ−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4
χ571111111-1-1-1-1ζ5ζ5ζ5ζ5ζ5ζ5ζ5−ζ5−ζ5−ζ5−ζ5ζζζζζζζ−ζ−ζ−ζ−ζ−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ2ζ2ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ7ζ7ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ8ζ8ζ8ζ8ζ8ζ8ζ8−ζ8−ζ8−ζ8−ζ8ζ4ζ4ζ4ζ4ζ4ζ4ζ4−ζ4−ζ4−ζ4−ζ4
χ5811111-1-111-1-1ζ5ζ5ζ5ζ5ζ5−ζ5−ζ5ζ5ζ5−ζ5−ζ5ζζζζζ−ζ−ζζζ−ζ−ζ−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2ζ2ζ2−ζ2−ζ2ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ8ζ8ζ8ζ8ζ8−ζ8−ζ8ζ8ζ8−ζ8−ζ8ζ4ζ4ζ4ζ4ζ4−ζ4−ζ4ζ4ζ4−ζ4−ζ4
χ5911111-1-1-1-111ζ5ζ5ζ5ζ5ζ5−ζ5−ζ5−ζ5−ζ5ζ5ζ5ζζζζζ−ζ−ζ−ζ−ζζζ−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32ζ8ζ8ζ8ζ8ζ8−ζ8−ζ8−ζ8−ζ8ζ8ζ8ζ4ζ4ζ4ζ4ζ4−ζ4−ζ4−ζ4−ζ4ζ4ζ4
χ6011-1-111-11-11-1ζ5ζ5−ζ5−ζ5ζ5ζ5−ζ5ζ5−ζ5ζ5−ζ5ζζ−ζ−ζζζ−ζζ−ζζ−ζ−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32ζ2ζ2−ζ2−ζ2ζ2ζ2−ζ2ζ2−ζ2ζ2−ζ2ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ7−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32ζ8ζ8−ζ8−ζ8ζ8ζ8−ζ8ζ8−ζ8ζ8−ζ8ζ4ζ4−ζ4−ζ4ζ4ζ4−ζ4ζ4−ζ4ζ4−ζ4
χ6111-1-111-1-11-11ζ5ζ5−ζ5−ζ5ζ5ζ5−ζ5−ζ5ζ5−ζ5ζ5ζζ−ζ−ζζζ−ζ−ζζ−ζζ−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32ζ2ζ2−ζ2−ζ2ζ2ζ2−ζ2−ζ2ζ2−ζ2ζ2ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7−ζ7ζ7−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32ζ8ζ8−ζ8−ζ8ζ8ζ8−ζ8−ζ8ζ8−ζ8ζ8ζ4ζ4−ζ4−ζ4ζ4ζ4−ζ4−ζ4ζ4−ζ4ζ4
χ6211-1-11-111-1-11ζ5ζ5−ζ5−ζ5ζ5−ζ5ζ5ζ5−ζ5−ζ5ζ5ζζ−ζ−ζζ−ζζζ−ζ−ζζ−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32ζ2ζ2−ζ2−ζ2ζ2−ζ2ζ2ζ2−ζ2−ζ2ζ2ζ7ζ7−ζ7−ζ7ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32ζ8ζ8−ζ8−ζ8ζ8−ζ8ζ8ζ8−ζ8−ζ8ζ8ζ4ζ4−ζ4−ζ4ζ4−ζ4ζ4ζ4−ζ4−ζ4ζ4
χ6311-1-11-11-111-1ζ5ζ5−ζ5−ζ5ζ5−ζ5ζ5−ζ5ζ5ζ5−ζ5ζζ−ζ−ζζ−ζζ−ζζζ−ζ−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32ζ2ζ2−ζ2−ζ2ζ2−ζ2ζ2−ζ2ζ2ζ2−ζ2ζ7ζ7−ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ7ζ7−ζ7−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32ζ8ζ8−ζ8−ζ8ζ8−ζ8ζ8−ζ8ζ8ζ8−ζ8ζ4ζ4−ζ4−ζ4ζ4−ζ4ζ4−ζ4ζ4ζ4−ζ4
χ64222-2-20000002ζ52ζ52ζ5−2ζ5−2ζ50000002ζ2ζ2ζ−2ζ−2ζ000000−1−i3−1−i3−1−i31+i31+i30000002ζ22ζ22ζ2−2ζ2−2ζ20000002ζ72ζ72ζ7−2ζ7−2ζ7000000−1+i3−1+i3−1+i31−i31−i30000002ζ82ζ82ζ8−2ζ8−2ζ80000002ζ42ζ42ζ4−2ζ4−2ζ4000000
χ6522-22-20000002ζ52ζ5−2ζ52ζ5−2ζ50000002ζ2ζ−2ζ2ζ−2ζ000000−1−i3−1−i31+i3−1−i31+i30000002ζ22ζ2−2ζ22ζ2−2ζ20000002ζ72ζ7−2ζ72ζ7−2ζ7000000−1+i3−1+i31−i3−1+i31−i30000002ζ82ζ8−2ζ82ζ8−2ζ80000002ζ42ζ4−2ζ42ζ4−2ζ4000000
χ664-40000000004ζ5−4ζ50000000004ζ−4ζ000000000−2−2i32+2i30000000004ζ2−4ζ20000000004ζ7−4ζ7000000000−2+2i32−2i30000000004ζ8−4ζ80000000004ζ4−4ζ4000000000
χ6711111111111−1−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+i3211111111111−1−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+i3211111111111−1−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
χ681111111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321111111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321111111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ6911111-1-111-1-1−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i3211111-1-111-1-1−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i3211111-1-111-1-1−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ7011111-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i3211111-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i3211111-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ7111-1-111-11-11-1−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i3211-1-111-11-11-1−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i3211-1-111-11-11-1−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32
χ7211-1-111-1-11-11−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i3211-1-111-1-11-11−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i3211-1-111-1-11-11−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32
χ7311-1-11-111-1-11−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i3211-1-11-111-1-11−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i3211-1-11-111-1-11−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32
χ7411-1-11-11-111-1−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i3211-1-11-11-111-1−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i3211-1-11-11-111-1−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32
χ75222-2-2000000−1−i3−1−i3−1−i31+i31+i3000000−1+i3−1+i3−1+i31−i31−i3000000222-2-2000000−1−i3−1−i3−1−i31+i31+i3000000−1+i3−1+i3−1+i31−i31−i3000000222-2-2000000−1−i3−1−i3−1−i31+i31+i3000000−1+i3−1+i3−1+i31−i31−i3000000
χ7622-22-2000000−1−i3−1−i31+i3−1−i31+i3000000−1+i3−1+i31−i3−1+i31−i300000022-22-2000000−1−i3−1−i31+i3−1−i31+i3000000−1+i3−1+i31−i3−1+i31−i300000022-22-2000000−1−i3−1−i31+i3−1−i31+i3000000−1+i3−1+i31−i3−1+i31−i3000000
χ774-4000000000−2−2i32+2i3000000000−2+2i32−2i30000000004-4000000000−2−2i32+2i3000000000−2+2i32−2i30000000004-4000000000−2−2i32+2i3000000000−2+2i32−2i3000000000
χ7811111111111ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32ζζζζζζζζζζζζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2
χ791111111-1-1-1-1ζ7ζ7ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ5ζ5ζ5ζ5ζ5ζ5ζ5−ζ5−ζ5−ζ5−ζ5−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζζζζζζζ−ζ−ζ−ζ−ζζ8ζ8ζ8ζ8ζ8ζ8ζ8−ζ8−ζ8−ζ8−ζ8−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ4ζ4ζ4ζ4ζ4ζ4ζ4−ζ4−ζ4−ζ4−ζ4ζ2ζ2ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2
χ8011111-1-111-1-1ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ5ζ5ζ5ζ5ζ5−ζ5−ζ5ζ5ζ5−ζ5−ζ5−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζζζζζ−ζ−ζζζ−ζ−ζζ8ζ8ζ8ζ8ζ8−ζ8−ζ8ζ8ζ8−ζ8−ζ8−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ4ζ4ζ4ζ4ζ4−ζ4−ζ4ζ4ζ4−ζ4−ζ4ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2ζ2ζ2−ζ2−ζ2
χ8111111-1-1-1-111ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ5ζ5ζ5ζ5ζ5−ζ5−ζ5−ζ5−ζ5ζ5ζ5−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32ζζζζζ−ζ−ζ−ζ−ζζζζ8ζ8ζ8ζ8ζ8−ζ8−ζ8−ζ8−ζ8ζ8ζ8−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32ζ4ζ4ζ4ζ4ζ4−ζ4−ζ4−ζ4−ζ4ζ4ζ4ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ2ζ2
χ8211-1-111-11-11-1ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ5ζ5−ζ5−ζ5ζ5ζ5−ζ5ζ5−ζ5ζ5−ζ5−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32ζζ−ζ−ζζζ−ζζ−ζζ−ζζ8ζ8−ζ8−ζ8ζ8ζ8−ζ8ζ8−ζ8ζ8−ζ8−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32ζ4ζ4−ζ4−ζ4ζ4ζ4−ζ4ζ4−ζ4ζ4−ζ4ζ2ζ2−ζ2−ζ2ζ2ζ2−ζ2ζ2−ζ2ζ2−ζ2
χ8311-1-111-1-11-11ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7−ζ7ζ7ζ5ζ5−ζ5−ζ5ζ5ζ5−ζ5−ζ5ζ5−ζ5ζ5−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32ζζ−ζ−ζζζ−ζ−ζζ−ζζζ8ζ8−ζ8−ζ8ζ8ζ8−ζ8−ζ8ζ8−ζ8ζ8−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32ζ4ζ4−ζ4−ζ4ζ4ζ4−ζ4−ζ4ζ4−ζ4ζ4ζ2ζ2−ζ2−ζ2ζ2ζ2−ζ2−ζ2ζ2−ζ2ζ2
χ8411-1-11-111-1-11ζ7ζ7−ζ7−ζ7ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ5ζ5−ζ5−ζ5ζ5−ζ5ζ5ζ5−ζ5−ζ5ζ5−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32ζζ−ζ−ζζ−ζζζ−ζ−ζζζ8ζ8−ζ8−ζ8ζ8−ζ8ζ8ζ8−ζ8−ζ8ζ8−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32ζ4ζ4−ζ4−ζ4ζ4−ζ4ζ4ζ4−ζ4−ζ4ζ4ζ2ζ2−ζ2−ζ2ζ2−ζ2ζ2ζ2−ζ2−ζ2ζ2
χ8511-1-11-11-111-1ζ7ζ7−ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ7ζ7−ζ7ζ5ζ5−ζ5−ζ5ζ5−ζ5ζ5−ζ5ζ5ζ5−ζ5−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32ζζ−ζ−ζζ−ζζ−ζζζ−ζζ8ζ8−ζ8−ζ8ζ8−ζ8ζ8−ζ8ζ8ζ8−ζ8−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32ζ4ζ4−ζ4−ζ4ζ4−ζ4ζ4−ζ4ζ4ζ4−ζ4ζ2ζ2−ζ2−ζ2ζ2−ζ2ζ2−ζ2ζ2ζ2−ζ2
χ86222-2-20000002ζ72ζ72ζ7−2ζ7−2ζ70000002ζ52ζ52ζ5−2ζ5−2ζ5000000−1+i3−1+i3−1+i31−i31−i30000002ζ2ζ2ζ−2ζ−2ζ0000002ζ82ζ82ζ8−2ζ8−2ζ8000000−1−i3−1−i3−1−i31+i31+i30000002ζ42ζ42ζ4−2ζ4−2ζ40000002ζ22ζ22ζ2−2ζ2−2ζ2000000
χ8722-22-20000002ζ72ζ7−2ζ72ζ7−2ζ70000002ζ52ζ5−2ζ52ζ5−2ζ5000000−1+i3−1+i31−i3−1+i31−i30000002ζ2ζ−2ζ2ζ−2ζ0000002ζ82ζ8−2ζ82ζ8−2ζ8000000−1−i3−1−i31+i3−1−i31+i30000002ζ42ζ4−2ζ42ζ4−2ζ40000002ζ22ζ2−2ζ22ζ2−2ζ2000000
χ884-40000000004ζ7−4ζ70000000004ζ5−4ζ5000000000−2+2i32−2i30000000004ζ−4ζ0000000004ζ8−4ζ8000000000−2−2i32+2i30000000004ζ4−4ζ40000000004ζ2−4ζ2000000000
χ8911111111111ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζζζζζζζζζζζ
χ901111111-1-1-1-1ζ8ζ8ζ8ζ8ζ8ζ8ζ8−ζ8−ζ8−ζ8−ζ8ζ7ζ7ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ5ζ5ζ5ζ5ζ5ζ5ζ5−ζ5−ζ5−ζ5−ζ5ζ4ζ4ζ4ζ4ζ4ζ4ζ4−ζ4−ζ4−ζ4−ζ4−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ2ζ2ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζζζζζζζ−ζ−ζ−ζ−ζ
χ9111111-1-111-1-1ζ8ζ8ζ8ζ8ζ8−ζ8−ζ8ζ8ζ8−ζ8−ζ8ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ5ζ5ζ5ζ5ζ5−ζ5−ζ5ζ5ζ5−ζ5−ζ5ζ4ζ4ζ4ζ4ζ4−ζ4−ζ4ζ4ζ4−ζ4−ζ4−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2ζ2ζ2−ζ2−ζ2ζζζζζ−ζ−ζζζ−ζ−ζ
χ9211111-1-1-1-111ζ8ζ8ζ8ζ8ζ8−ζ8−ζ8−ζ8−ζ8ζ8ζ8ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32ζ5ζ5ζ5ζ5ζ5−ζ5−ζ5−ζ5−ζ5ζ5ζ5ζ4ζ4ζ4ζ4ζ4−ζ4−ζ4−ζ4−ζ4ζ4ζ4−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζζζζζ−ζ−ζ−ζ−ζζζ
χ9311-1-111-11-11-1ζ8ζ8−ζ8−ζ8ζ8ζ8−ζ8ζ8−ζ8ζ8−ζ8ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ7−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32ζ5ζ5−ζ5−ζ5ζ5ζ5−ζ5ζ5−ζ5ζ5−ζ5ζ4ζ4−ζ4−ζ4ζ4ζ4−ζ4ζ4−ζ4ζ4−ζ4−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32ζ2ζ2−ζ2−ζ2ζ2ζ2−ζ2ζ2−ζ2ζ2−ζ2ζζ−ζ−ζζζ−ζζ−ζζ−ζ
χ9411-1-111-1-11-11ζ8ζ8−ζ8−ζ8ζ8ζ8−ζ8−ζ8ζ8−ζ8ζ8ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7−ζ7ζ7−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32ζ5ζ5−ζ5−ζ5ζ5ζ5−ζ5−ζ5ζ5−ζ5ζ5ζ4ζ4−ζ4−ζ4ζ4ζ4−ζ4−ζ4ζ4−ζ4ζ4−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32ζ2ζ2−ζ2−ζ2ζ2ζ2−ζ2−ζ2ζ2−ζ2ζ2ζζ−ζ−ζζζ−ζ−ζζ−ζζ
χ9511-1-11-111-1-11ζ8ζ8−ζ8−ζ8ζ8−ζ8ζ8ζ8−ζ8−ζ8ζ8ζ7ζ7−ζ7−ζ7ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32ζ5ζ5−ζ5−ζ5ζ5−ζ5ζ5ζ5−ζ5−ζ5ζ5ζ4ζ4−ζ4−ζ4ζ4−ζ4ζ4ζ4−ζ4−ζ4ζ4−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32ζ2ζ2−ζ2−ζ2ζ2−ζ2ζ2ζ2−ζ2−ζ2ζ2ζζ−ζ−ζζ−ζζζ−ζ−ζζ
χ9611-1-11-11-111-1ζ8ζ8−ζ8−ζ8ζ8−ζ8ζ8−ζ8ζ8ζ8−ζ8ζ7ζ7−ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ7ζ7−ζ7−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32ζ5ζ5−ζ5−ζ5ζ5−ζ5ζ5−ζ5ζ5ζ5−ζ5ζ4ζ4−ζ4−ζ4ζ4−ζ4ζ4−ζ4ζ4ζ4−ζ4−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32ζ2ζ2−ζ2−ζ2ζ2−ζ2ζ2−ζ2ζ2ζ2−ζ2ζζ−ζ−ζζ−ζζ−ζζζ−ζ
χ97222-2-20000002ζ82ζ82ζ8−2ζ8−2ζ80000002ζ72ζ72ζ7−2ζ7−2ζ7000000−1−i3−1−i3−1−i31+i31+i30000002ζ52ζ52ζ5−2ζ5−2ζ50000002ζ42ζ42ζ4−2ζ4−2ζ4000000−1+i3−1+i3−1+i31−i31−i30000002ζ22ζ22ζ2−2ζ2−2ζ20000002ζ2ζ2ζ−2ζ−2ζ000000
χ9822-22-20000002ζ82ζ8−2ζ82ζ8−2ζ80000002ζ72ζ7−2ζ72ζ7−2ζ7000000−1−i3−1−i31+i3−1−i31+i30000002ζ52ζ5−2ζ52ζ5−2ζ50000002ζ42ζ4−2ζ42ζ4−2ζ4000000−1+i3−1+i31−i3−1+i31−i30000002ζ22ζ2−2ζ22ζ2−2ζ20000002ζ2ζ−2ζ2ζ−2ζ000000
χ994-40000000004ζ8−4ζ80000000004ζ7−4ζ7000000000−2−2i32+2i30000000004ζ5−4ζ50000000004ζ4−4ζ4000000000−2+2i32−2i30000000004ζ2−4ζ20000000004ζ−4ζ000000000

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