Finite Group Databasebeta

← Group #13049302

Character table — Group #13049302

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size12222366666666666666661212242424242424242427811081081222236666666666666666121224242424242424242781108108
order13999236666991818181818181818183333999999226626181818266666181818181818181818181866661818181818182266
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1
χ31111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1−i321111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1−i32
χ41111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11−i321+i321111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11−i321+i32
χ51111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1+i321111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1+i32
χ61111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-11+i321−i321111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-11+i321−i32
χ7222222-12-1-1-1-1-1222-1-1-1-1-1-122-1-12-1-12-1-10000222222-12-1-1-1-1-1222-1-1-1-1-1-122-1-12-1-12-1-10000
χ8222222-12-1-1-1-1-1222-1-1-1-1-1-1−1+i3−1−i31−i321+i32−1+i31−i321−i32−1−i31+i321+i320000222222-12-1-1-1-1-1222-1-1-1-1-1-1−1+i3−1−i31−i321+i32−1+i31−i321−i32−1−i31+i321+i320000
χ9222222-12-1-1-1-1-1222-1-1-1-1-1-1−1−i3−1+i31+i321−i32−1−i31+i321+i32−1+i31−i321−i320000222222-12-1-1-1-1-1222-1-1-1-1-1-1−1−i3−1+i31+i321−i32−1−i31+i321+i32−1+i31−i321−i320000
χ1022-1-1-1222222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1000022-1-1-1222222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-10000
χ1122-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i31−i321−i321−i321+i321+i321+i32000022-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i31−i321−i321−i321+i321+i321+i320000
χ1222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i31+i321+i321+i321−i321−i321−i32000022-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i31+i321+i321+i321−i321−i321−i320000
χ1322-1-1-12-12-1-1-12-1-1-1-1222-1-1-122-1-1-12-1-12-1000022-1-1-12-12-1-1-12-1-1-1-1222-1-1-122-1-1-12-1-12-10000
χ1422-1-1-12-12-1-1-12-1-1-1-1222-1-1-1−1+i3−1−i31−i321+i321−i32−1+i31−i321+i32−1−i31+i32000022-1-1-12-12-1-1-12-1-1-1-1222-1-1-1−1+i3−1−i31−i321+i321−i32−1+i31−i321+i32−1−i31+i320000
χ1522-1-1-12-12-1-1-12-1-1-1-1222-1-1-1−1−i3−1+i31+i321−i321+i32−1−i31+i321−i32−1+i31−i32000022-1-1-12-12-1-1-12-1-1-1-1222-1-1-1−1−i3−1+i31+i321−i321+i32−1−i31+i321−i32−1+i31−i320000
χ1622-1-1-12-12-1-1-1-12-1-1-1-1-1-122222-1-1-1-12-1-12000022-1-1-12-12-1-1-1-12-1-1-1-1-1-122222-1-1-1-12-1-120000
χ1722-1-1-12-12-1-1-1-12-1-1-1-1-1-1222−1+i3−1−i31−i321+i321−i321−i32−1+i31+i321+i32−1−i3000022-1-1-12-12-1-1-1-12-1-1-1-1-1-1222−1+i3−1−i31−i321+i321−i321−i32−1+i31+i321+i32−1−i30000
χ1822-1-1-12-12-1-1-1-12-1-1-1-1-1-1222−1−i3−1+i31+i321−i321+i321+i32−1−i31−i321−i32−1+i3000022-1-1-12-12-1-1-1-12-1-1-1-1-1-1222−1−i3−1+i31+i321−i321+i321+i32−1−i31−i321−i32−1+i30000
χ1933333-13-1-1-1-133-1-1-1-1-1-1-1-1-100000000003-10033333-13-1-1-1-133-1-1-1-1-1-1-1-1-100000000003-100
χ2033333-13-1-1-1-133-1-1-1-1-1-1-1-1-10000000000-310033333-13-1-1-1-133-1-1-1-1-1-1-1-1-10000000000-3100
χ2166666-2-3-2111-3-3-2-2-21111110000000000000066666-2-3-2111-3-3-2-2-211111100000000000000
χ2266-3-3-3-26-2-2-2-2-3-31111111110000000000000066-3-3-3-26-2-2-2-2-3-311111111100000000000000
χ2366-3-3-3-2-3-21116-3111-2-2-21110000000000000066-3-3-3-2-3-21116-3111-2-2-211100000000000000
χ2466-3-3-3-2-3-2111-36111111-2-2-20000000000000066-3-3-3-2-3-2111-36111111-2-2-200000000000000
χ256-33ζ+3ζ83ζ2+3ζ73ζ4+3ζ560-3000003ζ+3ζ83ζ2+3ζ73ζ4+3ζ5000000000000000000006-33ζ+3ζ83ζ2+3ζ73ζ4+3ζ560-3000003ζ+3ζ83ζ2+3ζ73ζ4+3ζ500000000000000000000
χ266-33ζ+3ζ83ζ2+3ζ73ζ4+3ζ5-2014-2-200−ζ−ζ8−ζ2−ζ7−ζ4−ζ52ζ+2ζ82ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ4+2ζ5000000000000006-33ζ+3ζ83ζ2+3ζ73ζ4+3ζ5-2014-2-200−ζ−ζ8−ζ2−ζ7−ζ4−ζ52ζ+2ζ82ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ4+2ζ500000000000000
χ276-33ζ+3ζ83ζ2+3ζ73ζ4+3ζ5-201-24-200−ζ−ζ8−ζ2−ζ7−ζ4−ζ52ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ4+2ζ52ζ+2ζ82ζ2+2ζ7000000000000006-33ζ+3ζ83ζ2+3ζ73ζ4+3ζ5-201-24-200−ζ−ζ8−ζ2−ζ7−ζ4−ζ52ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ4+2ζ52ζ+2ζ82ζ2+2ζ700000000000000
χ286-33ζ+3ζ83ζ2+3ζ73ζ4+3ζ5-201-2-2400−ζ−ζ8−ζ2−ζ7−ζ4−ζ52ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ2+2ζ72ζ4+2ζ52ζ+2ζ8000000000000006-33ζ+3ζ83ζ2+3ζ73ζ4+3ζ5-201-2-2400−ζ−ζ8−ζ2−ζ7−ζ4−ζ52ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ2+2ζ72ζ4+2ζ52ζ+2ζ800000000000000
χ296-33ζ2+3ζ73ζ4+3ζ53ζ+3ζ860-3000003ζ2+3ζ73ζ4+3ζ53ζ+3ζ8000000000000000000006-33ζ2+3ζ73ζ4+3ζ53ζ+3ζ860-3000003ζ2+3ζ73ζ4+3ζ53ζ+3ζ800000000000000000000
χ306-33ζ2+3ζ73ζ4+3ζ53ζ+3ζ8-2014-2-200−ζ2−ζ7−ζ4−ζ5−ζ−ζ82ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ4+2ζ52ζ+2ζ8000000000000006-33ζ2+3ζ73ζ4+3ζ53ζ+3ζ8-2014-2-200−ζ2−ζ7−ζ4−ζ5−ζ−ζ82ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ4+2ζ52ζ+2ζ800000000000000
χ316-33ζ2+3ζ73ζ4+3ζ53ζ+3ζ8-201-24-200−ζ2−ζ7−ζ4−ζ5−ζ−ζ82ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ+2ζ82ζ2+2ζ72ζ4+2ζ5000000000000006-33ζ2+3ζ73ζ4+3ζ53ζ+3ζ8-201-24-200−ζ2−ζ7−ζ4−ζ5−ζ−ζ82ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ+2ζ82ζ2+2ζ72ζ4+2ζ500000000000000
χ326-33ζ2+3ζ73ζ4+3ζ53ζ+3ζ8-201-2-2400−ζ2−ζ7−ζ4−ζ5−ζ−ζ82ζ+2ζ82ζ2+2ζ72ζ4+2ζ52ζ4+2ζ52ζ+2ζ82ζ2+2ζ7000000000000006-33ζ2+3ζ73ζ4+3ζ53ζ+3ζ8-201-2-2400−ζ2−ζ7−ζ4−ζ5−ζ−ζ82ζ+2ζ82ζ2+2ζ72ζ4+2ζ52ζ4+2ζ52ζ+2ζ82ζ2+2ζ700000000000000
χ336-33ζ4+3ζ53ζ+3ζ83ζ2+3ζ760-3000003ζ4+3ζ53ζ+3ζ83ζ2+3ζ7000000000000000000006-33ζ4+3ζ53ζ+3ζ83ζ2+3ζ760-3000003ζ4+3ζ53ζ+3ζ83ζ2+3ζ700000000000000000000
χ346-33ζ4+3ζ53ζ+3ζ83ζ2+3ζ7-2014-2-200−ζ4−ζ5−ζ−ζ8−ζ2−ζ72ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ2+2ζ7000000000000006-33ζ4+3ζ53ζ+3ζ83ζ2+3ζ7-2014-2-200−ζ4−ζ5−ζ−ζ8−ζ2−ζ72ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ2+2ζ700000000000000
χ356-33ζ4+3ζ53ζ+3ζ83ζ2+3ζ7-201-24-200−ζ4−ζ5−ζ−ζ8−ζ2−ζ72ζ+2ζ82ζ2+2ζ72ζ4+2ζ52ζ2+2ζ72ζ4+2ζ52ζ+2ζ8000000000000006-33ζ4+3ζ53ζ+3ζ83ζ2+3ζ7-201-24-200−ζ4−ζ5−ζ−ζ8−ζ2−ζ72ζ+2ζ82ζ2+2ζ72ζ4+2ζ52ζ2+2ζ72ζ4+2ζ52ζ+2ζ800000000000000
χ366-33ζ4+3ζ53ζ+3ζ83ζ2+3ζ7-201-2-2400−ζ4−ζ5−ζ−ζ8−ζ2−ζ72ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ+2ζ82ζ2+2ζ72ζ4+2ζ5000000000000006-33ζ4+3ζ53ζ+3ζ83ζ2+3ζ7-201-2-2400−ζ4−ζ5−ζ−ζ8−ζ2−ζ72ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ+2ζ82ζ2+2ζ72ζ4+2ζ500000000000000
χ37111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ391111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321−i321−i321+i321+i321+i32-1-11−i321+i32
χ401111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11−i321+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321−i321−i321+i321+i321+i3211−1+i32−1−i32
χ411111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i321+i321+i321+i321−i321−i321−i32-1-11+i321−i32
χ421111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-11+i321−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i321+i321+i321+i321−i321−i321−i3211−1−i32−1+i32
χ43222222-12-1-1-1-1-1222-1-1-1-1-1-122-1-12-1-12-1-10000-2-2-2-2-2-21-211111-2-2-2111111-2-211-211-2110000
χ44222222-12-1-1-1-1-1222-1-1-1-1-1-1−1+i3−1−i31−i321+i32−1+i31−i321−i32−1−i31+i321+i320000-2-2-2-2-2-21-211111-2-2-21111111−i31+i3−1+i32−1−i321−i3−1+i32−1+i321+i3−1−i32−1−i320000
χ45222222-12-1-1-1-1-1222-1-1-1-1-1-1−1−i3−1+i31+i321−i32−1−i31+i321+i32−1+i31−i321−i320000-2-2-2-2-2-21-211111-2-2-21111111+i31−i3−1−i32−1+i321+i3−1−i32−1−i321−i3−1+i32−1+i320000
χ4622-1-1-1222222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-10000-2-2111-2-2-2-2-2-211111111111-2-2-2-21111110000
χ4722-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i31−i321−i321−i321+i321+i321+i320000-2-2111-2-2-2-2-2-2111111111111−i31+i31−i31+i3−1+i32−1+i32−1+i32−1−i32−1−i32−1−i320000
χ4822-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i31+i321+i321+i321−i321−i321−i320000-2-2111-2-2-2-2-2-2111111111111+i31−i31+i31−i3−1−i32−1−i32−1−i32−1+i32−1+i32−1+i320000
χ4922-1-1-12-12-1-1-12-1-1-1-1222-1-1-122-1-1-12-1-12-10000-2-2111-21-2111-21111-2-2-2111-2-2111-211-210000
χ5022-1-1-12-12-1-1-12-1-1-1-1222-1-1-1−1+i3−1−i31−i321+i321−i32−1+i31−i321+i32−1−i31+i320000-2-2111-21-2111-21111-2-2-21111−i31+i3−1+i32−1−i32−1+i321−i3−1+i32−1−i321+i3−1−i320000
χ5122-1-1-12-12-1-1-12-1-1-1-1222-1-1-1−1−i3−1+i31+i321−i321+i32−1−i31+i321−i32−1+i31−i320000-2-2111-21-2111-21111-2-2-21111+i31−i3−1−i32−1+i32−1−i321+i3−1−i32−1+i321−i3−1+i320000
χ5222-1-1-12-12-1-1-1-12-1-1-1-1-1-122222-1-1-1-12-1-120000-2-2111-21-21111-2111111-2-2-2-2-21111-211-20000
χ5322-1-1-12-12-1-1-1-12-1-1-1-1-1-1222−1+i3−1−i31−i321+i321−i321−i32−1+i31+i321+i32−1−i30000-2-2111-21-21111-2111111-2-2-21−i31+i3−1+i32−1−i32−1+i32−1+i321−i3−1−i32−1−i321+i30000
χ5422-1-1-12-12-1-1-1-12-1-1-1-1-1-1222−1−i3−1+i31+i321−i321+i321+i32−1−i31−i321−i32−1+i30000-2-2111-21-21111-2111111-2-2-21+i31−i3−1−i32−1+i32−1−i32−1−i321+i3−1+i32−1+i321−i30000
χ5533333-13-1-1-1-133-1-1-1-1-1-1-1-1-100000000003-100-3-3-3-3-31-31111-3-31111111110000000000-3100
χ5633333-13-1-1-1-133-1-1-1-1-1-1-1-1-10000000000-3100-3-3-3-3-31-31111-3-311111111100000000003-100
χ5766666-2-3-2111-3-3-2-2-211111100000000000000-6-6-6-6-6232-1-1-133222-1-1-1-1-1-100000000000000
χ5866-3-3-3-26-2-2-2-2-3-311111111100000000000000-6-63332-6222233-1-1-1-1-1-1-1-1-100000000000000
χ5966-3-3-3-2-3-21116-3111-2-2-211100000000000000-6-6333232-1-1-1-63-1-1-1222-1-1-100000000000000
χ6066-3-3-3-2-3-2111-36111111-2-2-200000000000000-6-6333232-1-1-13-6-1-1-1-1-1-122200000000000000
χ616-33ζ+3ζ83ζ2+3ζ73ζ4+3ζ560-3000003ζ+3ζ83ζ2+3ζ73ζ4+3ζ500000000000000000000-63−3ζ−3ζ8−3ζ2−3ζ7−3ζ4−3ζ5-60300000−3ζ−3ζ8−3ζ2−3ζ7−3ζ4−3ζ500000000000000000000
χ626-33ζ+3ζ83ζ2+3ζ73ζ4+3ζ5-2014-2-200−ζ−ζ8−ζ2−ζ7−ζ4−ζ52ζ+2ζ82ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ4+2ζ500000000000000-63−3ζ−3ζ8−3ζ2−3ζ7−3ζ4−3ζ520-1-42200ζ+ζ8ζ2+ζ7ζ4+ζ5−2ζ−2ζ8−2ζ2−2ζ7−2ζ4−2ζ5−2ζ−2ζ8−2ζ2−2ζ7−2ζ4−2ζ500000000000000
χ636-33ζ+3ζ83ζ2+3ζ73ζ4+3ζ5-201-24-200−ζ−ζ8−ζ2−ζ7−ζ4−ζ52ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ4+2ζ52ζ+2ζ82ζ2+2ζ700000000000000-63−3ζ−3ζ8−3ζ2−3ζ7−3ζ4−3ζ520-12-4200ζ+ζ8ζ2+ζ7ζ4+ζ5−2ζ2−2ζ7−2ζ4−2ζ5−2ζ−2ζ8−2ζ4−2ζ5−2ζ−2ζ8−2ζ2−2ζ700000000000000
χ646-33ζ+3ζ83ζ2+3ζ73ζ4+3ζ5-201-2-2400−ζ−ζ8−ζ2−ζ7−ζ4−ζ52ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ2+2ζ72ζ4+2ζ52ζ+2ζ800000000000000-63−3ζ−3ζ8−3ζ2−3ζ7−3ζ4−3ζ520-122-400ζ+ζ8ζ2+ζ7ζ4+ζ5−2ζ4−2ζ5−2ζ−2ζ8−2ζ2−2ζ7−2ζ2−2ζ7−2ζ4−2ζ5−2ζ−2ζ800000000000000
χ656-33ζ2+3ζ73ζ4+3ζ53ζ+3ζ860-3000003ζ2+3ζ73ζ4+3ζ53ζ+3ζ800000000000000000000-63−3ζ2−3ζ7−3ζ4−3ζ5−3ζ−3ζ8-60300000−3ζ2−3ζ7−3ζ4−3ζ5−3ζ−3ζ800000000000000000000
χ666-33ζ2+3ζ73ζ4+3ζ53ζ+3ζ8-2014-2-200−ζ2−ζ7−ζ4−ζ5−ζ−ζ82ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ4+2ζ52ζ+2ζ800000000000000-63−3ζ2−3ζ7−3ζ4−3ζ5−3ζ−3ζ820-1-42200ζ2+ζ7ζ4+ζ5ζ+ζ8−2ζ2−2ζ7−2ζ4−2ζ5−2ζ−2ζ8−2ζ2−2ζ7−2ζ4−2ζ5−2ζ−2ζ800000000000000
χ676-33ζ2+3ζ73ζ4+3ζ53ζ+3ζ8-201-24-200−ζ2−ζ7−ζ4−ζ5−ζ−ζ82ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ+2ζ82ζ2+2ζ72ζ4+2ζ500000000000000-63−3ζ2−3ζ7−3ζ4−3ζ5−3ζ−3ζ820-12-4200ζ2+ζ7ζ4+ζ5ζ+ζ8−2ζ4−2ζ5−2ζ−2ζ8−2ζ2−2ζ7−2ζ−2ζ8−2ζ2−2ζ7−2ζ4−2ζ500000000000000
χ686-33ζ2+3ζ73ζ4+3ζ53ζ+3ζ8-201-2-2400−ζ2−ζ7−ζ4−ζ5−ζ−ζ82ζ+2ζ82ζ2+2ζ72ζ4+2ζ52ζ4+2ζ52ζ+2ζ82ζ2+2ζ700000000000000-63−3ζ2−3ζ7−3ζ4−3ζ5−3ζ−3ζ820-122-400ζ2+ζ7ζ4+ζ5ζ+ζ8−2ζ−2ζ8−2ζ2−2ζ7−2ζ4−2ζ5−2ζ4−2ζ5−2ζ−2ζ8−2ζ2−2ζ700000000000000
χ696-33ζ4+3ζ53ζ+3ζ83ζ2+3ζ760-3000003ζ4+3ζ53ζ+3ζ83ζ2+3ζ700000000000000000000-63−3ζ4−3ζ5−3ζ−3ζ8−3ζ2−3ζ7-60300000−3ζ4−3ζ5−3ζ−3ζ8−3ζ2−3ζ700000000000000000000
χ706-33ζ4+3ζ53ζ+3ζ83ζ2+3ζ7-2014-2-200−ζ4−ζ5−ζ−ζ8−ζ2−ζ72ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ2+2ζ700000000000000-63−3ζ4−3ζ5−3ζ−3ζ8−3ζ2−3ζ720-1-42200ζ4+ζ5ζ+ζ8ζ2+ζ7−2ζ4−2ζ5−2ζ−2ζ8−2ζ2−2ζ7−2ζ4−2ζ5−2ζ−2ζ8−2ζ2−2ζ700000000000000
χ716-33ζ4+3ζ53ζ+3ζ83ζ2+3ζ7-201-24-200−ζ4−ζ5−ζ−ζ8−ζ2−ζ72ζ+2ζ82ζ2+2ζ72ζ4+2ζ52ζ2+2ζ72ζ4+2ζ52ζ+2ζ800000000000000-63−3ζ4−3ζ5−3ζ−3ζ8−3ζ2−3ζ720-12-4200ζ4+ζ5ζ+ζ8ζ2+ζ7−2ζ−2ζ8−2ζ2−2ζ7−2ζ4−2ζ5−2ζ2−2ζ7−2ζ4−2ζ5−2ζ−2ζ800000000000000
χ726-33ζ4+3ζ53ζ+3ζ83ζ2+3ζ7-201-2-2400−ζ4−ζ5−ζ−ζ8−ζ2−ζ72ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ+2ζ82ζ2+2ζ72ζ4+2ζ500000000000000-63−3ζ4−3ζ5−3ζ−3ζ8−3ζ2−3ζ720-122-400ζ4+ζ5ζ+ζ8ζ2+ζ7−2ζ2−2ζ7−2ζ4−2ζ5−2ζ−2ζ8−2ζ−2ζ8−2ζ2−2ζ7−2ζ4−2ζ500000000000000

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