Finite Group Databasebeta

← Group #6221

Character table — Group #6221

Order 216.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size112222266112222266112222266112222266112222266112222266112222266112222266112222266
order12236662491818918181818369181891818181836366366661291818918181818369181891818181836366366661291818918181818369181891818181836
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-1
χ311-111-1-11-111-111-1-11-111-111-1-11-111-111-1-11-111-111-1-11-111-111-1-11-111-111-1-11-111-111-1-11-111-111-1-11-1
χ411-111-1-1-1111-111-1-1-1111-111-1-1-1111-111-1-1-1111-111-1-1-1111-111-1-1-1111-111-1-1-1111-111-1-1-1111-111-1-1-11
χ5222-1-1-1-100222-1-1-1-100222-1-1-1-100222-1-1-1-100222-1-1-1-100222-1-1-1-100222-1-1-1-100222-1-1-1-100222-1-1-1-100
χ622-2-1-1110022-2-1-1110022-2-1-1110022-2-1-1110022-2-1-1110022-2-1-1110022-2-1-1110022-2-1-1110022-2-1-11100
χ72-202-200002-202-200002-202-200002-202-200002-202-200002-202-200002-202-200002-202-200002-202-20000
χ82-20-11i3−i3002-20-11i3−i3002-20-11i3−i3002-20-11i3−i3002-20-11i3−i3002-20-11i3−i3002-20-11i3−i3002-20-11i3−i3002-20-11i3−i300
χ92-20-11−i3i3002-20-11−i3i3002-20-11−i3i3002-20-11−i3i3002-20-11−i3i3002-20-11−i3i3002-20-11−i3i3002-20-11−i3i3002-20-11−i3i300
χ10111111111ζζζζζζζζζζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8
χ111111111-1-1ζζζζζζζ−ζ−ζζ2ζ2ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ4ζ4ζ4ζ4ζ4ζ4ζ4−ζ4−ζ4ζ5ζ5ζ5ζ5ζ5ζ5ζ5−ζ5−ζ5−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ7ζ7ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7ζ8ζ8ζ8ζ8ζ8ζ8ζ8−ζ8−ζ8
χ1211-111-1-11-1ζζ−ζζζ−ζ−ζζ−ζζ2ζ2−ζ2ζ2ζ2−ζ2−ζ2ζ2−ζ2−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32ζ4ζ4−ζ4ζ4ζ4−ζ4−ζ4ζ4−ζ4ζ5ζ5−ζ5ζ5ζ5−ζ5−ζ5ζ5−ζ5−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32ζ7ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7−ζ7ζ8ζ8−ζ8ζ8ζ8−ζ8−ζ8ζ8−ζ8
χ1311-111-1-1-11ζζ−ζζζ−ζ−ζ−ζζζ2ζ2−ζ2ζ2ζ2−ζ2−ζ2−ζ2ζ2−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32ζ4ζ4−ζ4ζ4ζ4−ζ4−ζ4−ζ4ζ4ζ5ζ5−ζ5ζ5ζ5−ζ5−ζ5−ζ5ζ5−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32ζ7ζ7−ζ7ζ7ζ7−ζ7−ζ7−ζ7ζ7ζ8ζ8−ζ8ζ8ζ8−ζ8−ζ8−ζ8ζ8
χ14222-1-1-1-1002ζ2ζ2ζ−ζ−ζ−ζ−ζ002ζ22ζ22ζ2−ζ2−ζ2−ζ2−ζ200−1+i3−1+i3−1+i31−i321−i321−i321−i32002ζ42ζ42ζ4−ζ4−ζ4−ζ4−ζ4002ζ52ζ52ζ5−ζ5−ζ5−ζ5−ζ500−1−i3−1−i3−1−i31+i321+i321+i321+i32002ζ72ζ72ζ7−ζ7−ζ7−ζ7−ζ7002ζ82ζ82ζ8−ζ8−ζ8−ζ8−ζ800
χ1522-2-1-111002ζ2ζ−2ζ−ζ−ζζζ002ζ22ζ2−2ζ2−ζ2−ζ2ζ2ζ200−1+i3−1+i31−i31−i321−i32−1+i32−1+i32002ζ42ζ4−2ζ4−ζ4−ζ4ζ4ζ4002ζ52ζ5−2ζ5−ζ5−ζ5ζ5ζ500−1−i3−1−i31+i31+i321+i32−1−i32−1−i32002ζ72ζ7−2ζ7−ζ7−ζ7ζ7ζ7002ζ82ζ8−2ζ8−ζ8−ζ8ζ8ζ800
χ162-202-200002ζ−2ζ02ζ−2ζ00002ζ2−2ζ202ζ2−2ζ20000−1+i31−i30−1+i31−i300002ζ4−2ζ402ζ4−2ζ400002ζ5−2ζ502ζ5−2ζ50000−1−i31+i30−1−i31+i300002ζ7−2ζ702ζ7−2ζ700002ζ8−2ζ802ζ8−2ζ80000
χ172-20-11i3−i3002ζ−2ζ0−ζζζ+2ζ4−ζ−2ζ4002ζ2−2ζ20−ζ2ζ2ζ2+2ζ5−ζ2−2ζ500−1+i31−i301−i32−1+i32−3−i323+i32002ζ4−2ζ40−ζ4ζ4−2ζ−ζ42ζ+ζ4002ζ5−2ζ50−ζ5ζ5−2ζ2−ζ52ζ2+ζ500−1−i31+i301+i32−1−i323−i32−3+i32002ζ7−2ζ70−ζ7ζ7ζ−ζ4−ζ+ζ4002ζ8−2ζ80−ζ8ζ8ζ2−ζ5−ζ2+ζ500
χ182-20-11−i3i3002ζ−2ζ0−ζζ−ζ−2ζ4ζ+2ζ4002ζ2−2ζ20−ζ2ζ2−ζ2−2ζ5ζ2+2ζ500−1+i31−i301−i32−1+i323+i32−3−i32002ζ4−2ζ40−ζ4ζ42ζ+ζ4−2ζ−ζ4002ζ5−2ζ50−ζ5ζ52ζ2+ζ5−2ζ2−ζ500−1−i31+i301+i32−1−i32−3+i323−i32002ζ7−2ζ70−ζ7ζ7−ζ+ζ4ζ−ζ4002ζ8−2ζ80−ζ8ζ8−ζ2+ζ5ζ2−ζ500
χ19111111111ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζζζζζζζζζ−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7
χ201111111-1-1ζ2ζ2ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2ζ4ζ4ζ4ζ4ζ4ζ4ζ4−ζ4−ζ4−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ8ζ8ζ8ζ8ζ8ζ8ζ8−ζ8−ζ8ζζζζζζζ−ζ−ζ−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ5ζ5ζ5ζ5ζ5ζ5ζ5−ζ5−ζ5ζ7ζ7ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7
χ2111-111-1-11-1ζ2ζ2−ζ2ζ2ζ2−ζ2−ζ2ζ2−ζ2ζ4ζ4−ζ4ζ4ζ4−ζ4−ζ4ζ4−ζ4−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32ζ8ζ8−ζ8ζ8ζ8−ζ8−ζ8ζ8−ζ8ζζ−ζζζ−ζ−ζζ−ζ−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32ζ5ζ5−ζ5ζ5ζ5−ζ5−ζ5ζ5−ζ5ζ7ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7−ζ7
χ2211-111-1-1-11ζ2ζ2−ζ2ζ2ζ2−ζ2−ζ2−ζ2ζ2ζ4ζ4−ζ4ζ4ζ4−ζ4−ζ4−ζ4ζ4−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32ζ8ζ8−ζ8ζ8ζ8−ζ8−ζ8−ζ8ζ8ζζ−ζζζ−ζ−ζ−ζζ−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32ζ5ζ5−ζ5ζ5ζ5−ζ5−ζ5−ζ5ζ5ζ7ζ7−ζ7ζ7ζ7−ζ7−ζ7−ζ7ζ7
χ23222-1-1-1-1002ζ22ζ22ζ2−ζ2−ζ2−ζ2−ζ2002ζ42ζ42ζ4−ζ4−ζ4−ζ4−ζ400−1−i3−1−i3−1−i31+i321+i321+i321+i32002ζ82ζ82ζ8−ζ8−ζ8−ζ8−ζ8002ζ2ζ2ζ−ζ−ζ−ζ−ζ00−1+i3−1+i3−1+i31−i321−i321−i321−i32002ζ52ζ52ζ5−ζ5−ζ5−ζ5−ζ5002ζ72ζ72ζ7−ζ7−ζ7−ζ7−ζ700
χ2422-2-1-111002ζ22ζ2−2ζ2−ζ2−ζ2ζ2ζ2002ζ42ζ4−2ζ4−ζ4−ζ4ζ4ζ400−1−i3−1−i31+i31+i321+i32−1−i32−1−i32002ζ82ζ8−2ζ8−ζ8−ζ8ζ8ζ8002ζ2ζ−2ζ−ζ−ζζζ00−1+i3−1+i31−i31−i321−i32−1+i32−1+i32002ζ52ζ5−2ζ5−ζ5−ζ5ζ5ζ5002ζ72ζ7−2ζ7−ζ7−ζ7ζ7ζ700
χ252-202-200002ζ2−2ζ202ζ2−2ζ200002ζ4−2ζ402ζ4−2ζ40000−1−i31+i30−1−i31+i300002ζ8−2ζ802ζ8−2ζ800002ζ−2ζ02ζ−2ζ0000−1+i31−i30−1+i31−i300002ζ5−2ζ502ζ5−2ζ500002ζ7−2ζ702ζ7−2ζ70000
χ262-20-11i3−i3002ζ2−2ζ20−ζ2ζ2ζ2+2ζ5−ζ2−2ζ5002ζ4−2ζ40−ζ4ζ4−2ζ−ζ42ζ+ζ400−1−i31+i301+i32−1−i323−i32−3+i32002ζ8−2ζ80−ζ8ζ8ζ2−ζ5−ζ2+ζ5002ζ−2ζ0−ζζζ+2ζ4−ζ−2ζ400−1+i31−i301−i32−1+i32−3−i323+i32002ζ5−2ζ50−ζ5ζ5−2ζ2−ζ52ζ2+ζ5002ζ7−2ζ70−ζ7ζ7ζ−ζ4−ζ+ζ400
χ272-20-11−i3i3002ζ2−2ζ20−ζ2ζ2−ζ2−2ζ5ζ2+2ζ5002ζ4−2ζ40−ζ4ζ42ζ+ζ4−2ζ−ζ400−1−i31+i301+i32−1−i32−3+i323−i32002ζ8−2ζ80−ζ8ζ8−ζ2+ζ5ζ2−ζ5002ζ−2ζ0−ζζ−ζ−2ζ4ζ+2ζ400−1+i31−i301−i32−1+i323+i32−3−i32002ζ5−2ζ50−ζ5ζ52ζ2+ζ5−2ζ2−ζ5002ζ7−2ζ70−ζ7ζ7−ζ+ζ4ζ−ζ400
χ28111111111−1+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−i32111111111−1+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−i32111111111−1+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
χ291111111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321111111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321111111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ3011-111-1-11-1−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i3211-111-1-11-1−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i3211-111-1-11-1−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32
χ3111-111-1-1-11−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i3211-111-1-1-11−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i3211-111-1-1-11−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32
χ32222-1-1-1-100−1+i3−1+i3−1+i31−i321−i321−i321−i3200−1−i3−1−i3−1−i31+i321+i321+i321+i3200222-1-1-1-100−1+i3−1+i3−1+i31−i321−i321−i321−i3200−1−i3−1−i3−1−i31+i321+i321+i321+i3200222-1-1-1-100−1+i3−1+i3−1+i31−i321−i321−i321−i3200−1−i3−1−i3−1−i31+i321+i321+i321+i3200
χ3322-2-1-11100−1+i3−1+i31−i31−i321−i32−1+i32−1+i3200−1−i3−1−i31+i31+i321+i32−1−i32−1−i320022-2-1-11100−1+i3−1+i31−i31−i321−i32−1+i32−1+i3200−1−i3−1−i31+i31+i321+i32−1−i32−1−i320022-2-1-11100−1+i3−1+i31−i31−i321−i32−1+i32−1+i3200−1−i3−1−i31+i31+i321+i32−1−i32−1−i3200
χ342-202-20000−1+i31−i30−1+i31−i30000−1−i31+i30−1−i31+i300002-202-20000−1+i31−i30−1+i31−i30000−1−i31+i30−1−i31+i300002-202-20000−1+i31−i30−1+i31−i30000−1−i31+i30−1−i31+i30000
χ352-20-11i3−i300−1+i31−i301−i32−1+i32−3−i323+i3200−1−i31+i301+i32−1−i323−i32−3+i32002-20-11i3−i300−1+i31−i301−i32−1+i32−3−i323+i3200−1−i31+i301+i32−1−i323−i32−3+i32002-20-11i3−i300−1+i31−i301−i32−1+i32−3−i323+i3200−1−i31+i301+i32−1−i323−i32−3+i3200
χ362-20-11−i3i300−1+i31−i301−i32−1+i323+i32−3−i3200−1−i31+i301+i32−1−i32−3+i323−i32002-20-11−i3i300−1+i31−i301−i32−1+i323+i32−3−i3200−1−i31+i301+i32−1−i32−3+i323−i32002-20-11−i3i300−1+i31−i301−i32−1+i323+i32−3−i3200−1−i31+i301+i32−1−i32−3+i323−i3200
χ37111111111ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32ζζζζζζζζζζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5
χ381111111-1-1ζ4ζ4ζ4ζ4ζ4ζ4ζ4−ζ4−ζ4ζ8ζ8ζ8ζ8ζ8ζ8ζ8−ζ8−ζ8−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ7ζ7ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7ζ2ζ2ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζζζζζζζ−ζ−ζζ5ζ5ζ5ζ5ζ5ζ5ζ5−ζ5−ζ5
χ3911-111-1-11-1ζ4ζ4−ζ4ζ4ζ4−ζ4−ζ4ζ4−ζ4ζ8ζ8−ζ8ζ8ζ8−ζ8−ζ8ζ8−ζ8−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32ζ7ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7−ζ7ζ2ζ2−ζ2ζ2ζ2−ζ2−ζ2ζ2−ζ2−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32ζζ−ζζζ−ζ−ζζ−ζζ5ζ5−ζ5ζ5ζ5−ζ5−ζ5ζ5−ζ5
χ4011-111-1-1-11ζ4ζ4−ζ4ζ4ζ4−ζ4−ζ4−ζ4ζ4ζ8ζ8−ζ8ζ8ζ8−ζ8−ζ8−ζ8ζ8−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32ζ7ζ7−ζ7ζ7ζ7−ζ7−ζ7−ζ7ζ7ζ2ζ2−ζ2ζ2ζ2−ζ2−ζ2−ζ2ζ2−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32ζζ−ζζζ−ζ−ζ−ζζζ5ζ5−ζ5ζ5ζ5−ζ5−ζ5−ζ5ζ5
χ41222-1-1-1-1002ζ42ζ42ζ4−ζ4−ζ4−ζ4−ζ4002ζ82ζ82ζ8−ζ8−ζ8−ζ8−ζ800−1+i3−1+i3−1+i31−i321−i321−i321−i32002ζ72ζ72ζ7−ζ7−ζ7−ζ7−ζ7002ζ22ζ22ζ2−ζ2−ζ2−ζ2−ζ200−1−i3−1−i3−1−i31+i321+i321+i321+i32002ζ2ζ2ζ−ζ−ζ−ζ−ζ002ζ52ζ52ζ5−ζ5−ζ5−ζ5−ζ500
χ4222-2-1-111002ζ42ζ4−2ζ4−ζ4−ζ4ζ4ζ4002ζ82ζ8−2ζ8−ζ8−ζ8ζ8ζ800−1+i3−1+i31−i31−i321−i32−1+i32−1+i32002ζ72ζ7−2ζ7−ζ7−ζ7ζ7ζ7002ζ22ζ2−2ζ2−ζ2−ζ2ζ2ζ200−1−i3−1−i31+i31+i321+i32−1−i32−1−i32002ζ2ζ−2ζ−ζ−ζζζ002ζ52ζ5−2ζ5−ζ5−ζ5ζ5ζ500
χ432-202-200002ζ4−2ζ402ζ4−2ζ400002ζ8−2ζ802ζ8−2ζ80000−1+i31−i30−1+i31−i300002ζ7−2ζ702ζ7−2ζ700002ζ2−2ζ202ζ2−2ζ20000−1−i31+i30−1−i31+i300002ζ−2ζ02ζ−2ζ00002ζ5−2ζ502ζ5−2ζ50000
χ442-20-11i3−i3002ζ4−2ζ40−ζ4ζ4−2ζ−ζ42ζ+ζ4002ζ8−2ζ80−ζ8ζ8ζ2−ζ5−ζ2+ζ500−1+i31−i301−i32−1+i32−3−i323+i32002ζ7−2ζ70−ζ7ζ7ζ−ζ4−ζ+ζ4002ζ2−2ζ20−ζ2ζ2ζ2+2ζ5−ζ2−2ζ500−1−i31+i301+i32−1−i323−i32−3+i32002ζ−2ζ0−ζζζ+2ζ4−ζ−2ζ4002ζ5−2ζ50−ζ5ζ5−2ζ2−ζ52ζ2+ζ500
χ452-20-11−i3i3002ζ4−2ζ40−ζ4ζ42ζ+ζ4−2ζ−ζ4002ζ8−2ζ80−ζ8ζ8−ζ2+ζ5ζ2−ζ500−1+i31−i301−i32−1+i323+i32−3−i32002ζ7−2ζ70−ζ7ζ7−ζ+ζ4ζ−ζ4002ζ2−2ζ20−ζ2ζ2−ζ2−2ζ5ζ2+2ζ500−1−i31+i301+i32−1−i32−3+i323−i32002ζ−2ζ0−ζζ−ζ−2ζ4ζ+2ζ4002ζ5−2ζ50−ζ5ζ52ζ2+ζ5−2ζ2−ζ500
χ46111111111ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζζζζζζζζζ−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4
χ471111111-1-1ζ5ζ5ζ5ζ5ζ5ζ5ζ5−ζ5−ζ5ζζζζζζζ−ζ−ζ−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ2ζ2ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2ζ7ζ7ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ8ζ8ζ8ζ8ζ8ζ8ζ8−ζ8−ζ8ζ4ζ4ζ4ζ4ζ4ζ4ζ4−ζ4−ζ4
χ4811-111-1-11-1ζ5ζ5−ζ5ζ5ζ5−ζ5−ζ5ζ5−ζ5ζζ−ζζζ−ζ−ζζ−ζ−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32ζ2ζ2−ζ2ζ2ζ2−ζ2−ζ2ζ2−ζ2ζ7ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7−ζ7−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32ζ8ζ8−ζ8ζ8ζ8−ζ8−ζ8ζ8−ζ8ζ4ζ4−ζ4ζ4ζ4−ζ4−ζ4ζ4−ζ4
χ4911-111-1-1-11ζ5ζ5−ζ5ζ5ζ5−ζ5−ζ5−ζ5ζ5ζζ−ζζζ−ζ−ζ−ζζ−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32ζ2ζ2−ζ2ζ2ζ2−ζ2−ζ2−ζ2ζ2ζ7ζ7−ζ7ζ7ζ7−ζ7−ζ7−ζ7ζ7−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32ζ8ζ8−ζ8ζ8ζ8−ζ8−ζ8−ζ8ζ8ζ4ζ4−ζ4ζ4ζ4−ζ4−ζ4−ζ4ζ4
χ50222-1-1-1-1002ζ52ζ52ζ5−ζ5−ζ5−ζ5−ζ5002ζ2ζ2ζ−ζ−ζ−ζ−ζ00−1−i3−1−i3−1−i31+i321+i321+i321+i32002ζ22ζ22ζ2−ζ2−ζ2−ζ2−ζ2002ζ72ζ72ζ7−ζ7−ζ7−ζ7−ζ700−1+i3−1+i3−1+i31−i321−i321−i321−i32002ζ82ζ82ζ8−ζ8−ζ8−ζ8−ζ8002ζ42ζ42ζ4−ζ4−ζ4−ζ4−ζ400
χ5122-2-1-111002ζ52ζ5−2ζ5−ζ5−ζ5ζ5ζ5002ζ2ζ−2ζ−ζ−ζζζ00−1−i3−1−i31+i31+i321+i32−1−i32−1−i32002ζ22ζ2−2ζ2−ζ2−ζ2ζ2ζ2002ζ72ζ7−2ζ7−ζ7−ζ7ζ7ζ700−1+i3−1+i31−i31−i321−i32−1+i32−1+i32002ζ82ζ8−2ζ8−ζ8−ζ8ζ8ζ8002ζ42ζ4−2ζ4−ζ4−ζ4ζ4ζ400
χ522-202-200002ζ5−2ζ502ζ5−2ζ500002ζ−2ζ02ζ−2ζ0000−1−i31+i30−1−i31+i300002ζ2−2ζ202ζ2−2ζ200002ζ7−2ζ702ζ7−2ζ70000−1+i31−i30−1+i31−i300002ζ8−2ζ802ζ8−2ζ800002ζ4−2ζ402ζ4−2ζ40000
χ532-20-11i3−i3002ζ5−2ζ50−ζ5ζ5−2ζ2−ζ52ζ2+ζ5002ζ−2ζ0−ζζζ+2ζ4−ζ−2ζ400−1−i31+i301+i32−1−i323−i32−3+i32002ζ2−2ζ20−ζ2ζ2ζ2+2ζ5−ζ2−2ζ5002ζ7−2ζ70−ζ7ζ7ζ−ζ4−ζ+ζ400−1+i31−i301−i32−1+i32−3−i323+i32002ζ8−2ζ80−ζ8ζ8ζ2−ζ5−ζ2+ζ5002ζ4−2ζ40−ζ4ζ4−2ζ−ζ42ζ+ζ400
χ542-20-11−i3i3002ζ5−2ζ50−ζ5ζ52ζ2+ζ5−2ζ2−ζ5002ζ−2ζ0−ζζ−ζ−2ζ4ζ+2ζ400−1−i31+i301+i32−1−i32−3+i323−i32002ζ2−2ζ20−ζ2ζ2−ζ2−2ζ5ζ2+2ζ5002ζ7−2ζ70−ζ7ζ7−ζ+ζ4ζ−ζ400−1+i31−i301−i32−1+i323+i32−3−i32002ζ8−2ζ80−ζ8ζ8−ζ2+ζ5ζ2−ζ5002ζ4−2ζ40−ζ4ζ42ζ+ζ4−2ζ−ζ400
χ55111111111−1−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+i32111111111−1−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+i32111111111−1−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
χ561111111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321111111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321111111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ5711-111-1-11-1−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i3211-111-1-11-1−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i3211-111-1-11-1−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32
χ5811-111-1-1-11−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i3211-111-1-1-11−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i3211-111-1-1-11−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32
χ59222-1-1-1-100−1−i3−1−i3−1−i31+i321+i321+i321+i3200−1+i3−1+i3−1+i31−i321−i321−i321−i3200222-1-1-1-100−1−i3−1−i3−1−i31+i321+i321+i321+i3200−1+i3−1+i3−1+i31−i321−i321−i321−i3200222-1-1-1-100−1−i3−1−i3−1−i31+i321+i321+i321+i3200−1+i3−1+i3−1+i31−i321−i321−i321−i3200
χ6022-2-1-11100−1−i3−1−i31+i31+i321+i32−1−i32−1−i3200−1+i3−1+i31−i31−i321−i32−1+i32−1+i320022-2-1-11100−1−i3−1−i31+i31+i321+i32−1−i32−1−i3200−1+i3−1+i31−i31−i321−i32−1+i32−1+i320022-2-1-11100−1−i3−1−i31+i31+i321+i32−1−i32−1−i3200−1+i3−1+i31−i31−i321−i32−1+i32−1+i3200
χ612-202-20000−1−i31+i30−1−i31+i30000−1+i31−i30−1+i31−i300002-202-20000−1−i31+i30−1−i31+i30000−1+i31−i30−1+i31−i300002-202-20000−1−i31+i30−1−i31+i30000−1+i31−i30−1+i31−i30000
χ622-20-11i3−i300−1−i31+i301+i32−1−i323−i32−3+i3200−1+i31−i301−i32−1+i32−3−i323+i32002-20-11i3−i300−1−i31+i301+i32−1−i323−i32−3+i3200−1+i31−i301−i32−1+i32−3−i323+i32002-20-11i3−i300−1−i31+i301+i32−1−i323−i32−3+i3200−1+i31−i301−i32−1+i32−3−i323+i3200
χ632-20-11−i3i300−1−i31+i301+i32−1−i32−3+i323−i3200−1+i31−i301−i32−1+i323+i32−3−i32002-20-11−i3i300−1−i31+i301+i32−1−i32−3+i323−i3200−1+i31−i301−i32−1+i323+i32−3−i32002-20-11−i3i300−1−i31+i301+i32−1−i32−3+i323−i3200−1+i31−i301−i32−1+i323+i32−3−i3200
χ64111111111ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32ζζζζζζζζζζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2
χ651111111-1-1ζ7ζ7ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7ζ5ζ5ζ5ζ5ζ5ζ5ζ5−ζ5−ζ5−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζζζζζζζ−ζ−ζζ8ζ8ζ8ζ8ζ8ζ8ζ8−ζ8−ζ8−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ4ζ4ζ4ζ4ζ4ζ4ζ4−ζ4−ζ4ζ2ζ2ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2
χ6611-111-1-11-1ζ7ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7−ζ7ζ5ζ5−ζ5ζ5ζ5−ζ5−ζ5ζ5−ζ5−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32ζζ−ζζζ−ζ−ζζ−ζζ8ζ8−ζ8ζ8ζ8−ζ8−ζ8ζ8−ζ8−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32ζ4ζ4−ζ4ζ4ζ4−ζ4−ζ4ζ4−ζ4ζ2ζ2−ζ2ζ2ζ2−ζ2−ζ2ζ2−ζ2
χ6711-111-1-1-11ζ7ζ7−ζ7ζ7ζ7−ζ7−ζ7−ζ7ζ7ζ5ζ5−ζ5ζ5ζ5−ζ5−ζ5−ζ5ζ5−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32ζζ−ζζζ−ζ−ζ−ζζζ8ζ8−ζ8ζ8ζ8−ζ8−ζ8−ζ8ζ8−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32ζ4ζ4−ζ4ζ4ζ4−ζ4−ζ4−ζ4ζ4ζ2ζ2−ζ2ζ2ζ2−ζ2−ζ2−ζ2ζ2
χ68222-1-1-1-1002ζ72ζ72ζ7−ζ7−ζ7−ζ7−ζ7002ζ52ζ52ζ5−ζ5−ζ5−ζ5−ζ500−1+i3−1+i3−1+i31−i321−i321−i321−i32002ζ2ζ2ζ−ζ−ζ−ζ−ζ002ζ82ζ82ζ8−ζ8−ζ8−ζ8−ζ800−1−i3−1−i3−1−i31+i321+i321+i321+i32002ζ42ζ42ζ4−ζ4−ζ4−ζ4−ζ4002ζ22ζ22ζ2−ζ2−ζ2−ζ2−ζ200
χ6922-2-1-111002ζ72ζ7−2ζ7−ζ7−ζ7ζ7ζ7002ζ52ζ5−2ζ5−ζ5−ζ5ζ5ζ500−1+i3−1+i31−i31−i321−i32−1+i32−1+i32002ζ2ζ−2ζ−ζ−ζζζ002ζ82ζ8−2ζ8−ζ8−ζ8ζ8ζ800−1−i3−1−i31+i31+i321+i32−1−i32−1−i32002ζ42ζ4−2ζ4−ζ4−ζ4ζ4ζ4002ζ22ζ2−2ζ2−ζ2−ζ2ζ2ζ200
χ702-202-200002ζ7−2ζ702ζ7−2ζ700002ζ5−2ζ502ζ5−2ζ50000−1+i31−i30−1+i31−i300002ζ−2ζ02ζ−2ζ00002ζ8−2ζ802ζ8−2ζ80000−1−i31+i30−1−i31+i300002ζ4−2ζ402ζ4−2ζ400002ζ2−2ζ202ζ2−2ζ20000
χ712-20-11i3−i3002ζ7−2ζ70−ζ7ζ7ζ−ζ4−ζ+ζ4002ζ5−2ζ50−ζ5ζ5−2ζ2−ζ52ζ2+ζ500−1+i31−i301−i32−1+i32−3−i323+i32002ζ−2ζ0−ζζζ+2ζ4−ζ−2ζ4002ζ8−2ζ80−ζ8ζ8ζ2−ζ5−ζ2+ζ500−1−i31+i301+i32−1−i323−i32−3+i32002ζ4−2ζ40−ζ4ζ4−2ζ−ζ42ζ+ζ4002ζ2−2ζ20−ζ2ζ2ζ2+2ζ5−ζ2−2ζ500
χ722-20-11−i3i3002ζ7−2ζ70−ζ7ζ7−ζ+ζ4ζ−ζ4002ζ5−2ζ50−ζ5ζ52ζ2+ζ5−2ζ2−ζ500−1+i31−i301−i32−1+i323+i32−3−i32002ζ−2ζ0−ζζ−ζ−2ζ4ζ+2ζ4002ζ8−2ζ80−ζ8ζ8−ζ2+ζ5ζ2−ζ500−1−i31+i301+i32−1−i32−3+i323−i32002ζ4−2ζ40−ζ4ζ42ζ+ζ4−2ζ−ζ4002ζ2−2ζ20−ζ2ζ2−ζ2−2ζ5ζ2+2ζ500
χ73111111111ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζζζζζζζζζ
χ741111111-1-1ζ8ζ8ζ8ζ8ζ8ζ8ζ8−ζ8−ζ8ζ7ζ7ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ5ζ5ζ5ζ5ζ5ζ5ζ5−ζ5−ζ5ζ4ζ4ζ4ζ4ζ4ζ4ζ4−ζ4−ζ4−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ2ζ2ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2ζζζζζζζ−ζ−ζ
χ7511-111-1-11-1ζ8ζ8−ζ8ζ8ζ8−ζ8−ζ8ζ8−ζ8ζ7ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7−ζ7−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32ζ5ζ5−ζ5ζ5ζ5−ζ5−ζ5ζ5−ζ5ζ4ζ4−ζ4ζ4ζ4−ζ4−ζ4ζ4−ζ4−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32ζ2ζ2−ζ2ζ2ζ2−ζ2−ζ2ζ2−ζ2ζζ−ζζζ−ζ−ζζ−ζ
χ7611-111-1-1-11ζ8ζ8−ζ8ζ8ζ8−ζ8−ζ8−ζ8ζ8ζ7ζ7−ζ7ζ7ζ7−ζ7−ζ7−ζ7ζ7−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32ζ5ζ5−ζ5ζ5ζ5−ζ5−ζ5−ζ5ζ5ζ4ζ4−ζ4ζ4ζ4−ζ4−ζ4−ζ4ζ4−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32ζ2ζ2−ζ2ζ2ζ2−ζ2−ζ2−ζ2ζ2ζζ−ζζζ−ζ−ζ−ζζ
χ77222-1-1-1-1002ζ82ζ82ζ8−ζ8−ζ8−ζ8−ζ8002ζ72ζ72ζ7−ζ7−ζ7−ζ7−ζ700−1−i3−1−i3−1−i31+i321+i321+i321+i32002ζ52ζ52ζ5−ζ5−ζ5−ζ5−ζ5002ζ42ζ42ζ4−ζ4−ζ4−ζ4−ζ400−1+i3−1+i3−1+i31−i321−i321−i321−i32002ζ22ζ22ζ2−ζ2−ζ2−ζ2−ζ2002ζ2ζ2ζ−ζ−ζ−ζ−ζ00
χ7822-2-1-111002ζ82ζ8−2ζ8−ζ8−ζ8ζ8ζ8002ζ72ζ7−2ζ7−ζ7−ζ7ζ7ζ700−1−i3−1−i31+i31+i321+i32−1−i32−1−i32002ζ52ζ5−2ζ5−ζ5−ζ5ζ5ζ5002ζ42ζ4−2ζ4−ζ4−ζ4ζ4ζ400−1+i3−1+i31−i31−i321−i32−1+i32−1+i32002ζ22ζ2−2ζ2−ζ2−ζ2ζ2ζ2002ζ2ζ−2ζ−ζ−ζζζ00
χ792-202-200002ζ8−2ζ802ζ8−2ζ800002ζ7−2ζ702ζ7−2ζ70000−1−i31+i30−1−i31+i300002ζ5−2ζ502ζ5−2ζ500002ζ4−2ζ402ζ4−2ζ40000−1+i31−i30−1+i31−i300002ζ2−2ζ202ζ2−2ζ200002ζ−2ζ02ζ−2ζ0000
χ802-20-11i3−i3002ζ8−2ζ80−ζ8ζ8ζ2−ζ5−ζ2+ζ5002ζ7−2ζ70−ζ7ζ7ζ−ζ4−ζ+ζ400−1−i31+i301+i32−1−i323−i32−3+i32002ζ5−2ζ50−ζ5ζ5−2ζ2−ζ52ζ2+ζ5002ζ4−2ζ40−ζ4ζ4−2ζ−ζ42ζ+ζ400−1+i31−i301−i32−1+i32−3−i323+i32002ζ2−2ζ20−ζ2ζ2ζ2+2ζ5−ζ2−2ζ5002ζ−2ζ0−ζζζ+2ζ4−ζ−2ζ400
χ812-20-11−i3i3002ζ8−2ζ80−ζ8ζ8−ζ2+ζ5ζ2−ζ5002ζ7−2ζ70−ζ7ζ7−ζ+ζ4ζ−ζ400−1−i31+i301+i32−1−i32−3+i323−i32002ζ5−2ζ50−ζ5ζ52ζ2+ζ5−2ζ2−ζ5002ζ4−2ζ40−ζ4ζ42ζ+ζ4−2ζ−ζ400−1+i31−i301−i32−1+i323+i32−3−i32002ζ2−2ζ20−ζ2ζ2−ζ2−2ζ5ζ2+2ζ5002ζ−2ζ0−ζζ−ζ−2ζ4ζ+2ζ400

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