Finite Group Databasebeta

← Group #13146362

Character table — Group #13146362

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size1122222224444466666666888888888888121212121616161616161616161616162424242424242424242424242424363636727272727272216216
order1233466121236121212248824242424999181818363636363636661212999181818363636363636612727272727272727272727272824242668242428
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ41111111111111111-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ52222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122200000000
χ62222222222222222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122111111111111-2-2-200000000
χ72222-222-2-222-2-2-2-22000000222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2200000000000000000000000
χ82222-222-2-222-2-2-2-22000000-1-1-1-1-1-1111111-2-222-1-1-1-1-1-1111111-22333333−3−3−3−3−3−300000000000
χ92222-222-2-222-2-2-2-22000000-1-1-1-1-1-1111111-2-222-1-1-1-1-1-1111111-22−3−3−3−3−3−333333300000000000
χ10222-122-122-1-1-1-1-1220000002222222222222-12-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000002-1-12-1-100
χ11222-122-122-1-1-1-1-1220000002222222222222-12-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000-211-21100
χ12222-1-22-1-2-2-1-1111-22000000222222-2-2-2-2-2-2-212-1-1-1-1-1-1-11111111-10000000000000000−i3i30−i3i300
χ13222-1-22-1-2-2-1-1111-22000000222222-2-2-2-2-2-2-212-1-1-1-1-1-1-11111111-10000000000000000i3−i30i3−i300
χ1422-122-12-1-1-1-12-1-12222-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68-12-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68-1-1ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ682-1-100000000
χ1522-122-12-1-1-1-12-1-12222-1-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68-12-12ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68-1-1ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ682-1-100000000
χ1622-122-12-1-1-1-12-1-12222-1-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52-12-12−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52-1-1−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ522-1-100000000
χ1722-122-12-1-1-1-12-1-122-2-21111ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68-12-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68-1-1−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68-21100000000
χ1822-122-12-1-1-1-12-1-122-2-21111ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68-12-12ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68-1-1−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68-21100000000
χ1922-122-12-1-1-1-12-1-122-2-21111−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52-12-12−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52-1-1ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52-21100000000
χ2022-12-2-1211-1-1-211-220033−3−3ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ681-2-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ681-1ζ14+ζ62+ζ70ζ14+ζ62+ζ70−ζ22−ζ62−ζ70−ζ22−ζ62−ζ70−ζ14+ζ22−ζ14+ζ22−ζ14−ζ62−ζ70−ζ14−ζ62−ζ70ζ22+ζ62+ζ70ζ22+ζ62+ζ70ζ14−ζ22ζ14−ζ2203−300000000
χ2122-12-2-1211-1-1-211-220033−3−3ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ681-2-12ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ681-1−ζ22−ζ62−ζ70−ζ22−ζ62−ζ70−ζ14+ζ22−ζ14+ζ22ζ14+ζ62+ζ70ζ14+ζ62+ζ70ζ22+ζ62+ζ70ζ22+ζ62+ζ70ζ14−ζ22ζ14−ζ22−ζ14−ζ62−ζ70−ζ14−ζ62−ζ7003−300000000
χ2222-12-2-1211-1-1-211-220033−3−3−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ521-2-12−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ521-1−ζ14+ζ22−ζ14+ζ22ζ14+ζ62+ζ70ζ14+ζ62+ζ70−ζ22−ζ62−ζ70−ζ22−ζ62−ζ70ζ14−ζ22ζ14−ζ22−ζ14−ζ62−ζ70−ζ14−ζ62−ζ70ζ22+ζ62+ζ70ζ22+ζ62+ζ7003−300000000
χ2322-12-2-1211-1-1-211-2200−3−333ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ681-2-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ681-1−ζ14−ζ62−ζ70−ζ14−ζ62−ζ70ζ22+ζ62+ζ70ζ22+ζ62+ζ70ζ14−ζ22ζ14−ζ22ζ14+ζ62+ζ70ζ14+ζ62+ζ70−ζ22−ζ62−ζ70−ζ22−ζ62−ζ70−ζ14+ζ22−ζ14+ζ220−3300000000
χ2422-12-2-1211-1-1-211-2200−3−333ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ681-2-12ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ681-1ζ22+ζ62+ζ70ζ22+ζ62+ζ70ζ14−ζ22ζ14−ζ22−ζ14−ζ62−ζ70−ζ14−ζ62−ζ70−ζ22−ζ62−ζ70−ζ22−ζ62−ζ70−ζ14+ζ22−ζ14+ζ22ζ14+ζ62+ζ70ζ14+ζ62+ζ700−3300000000
χ2522-12-2-1211-1-1-211-2200−3−333−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ521-2-12−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ521-1ζ14−ζ22ζ14−ζ22−ζ14−ζ62−ζ70−ζ14−ζ62−ζ70ζ22+ζ62+ζ70ζ22+ζ62+ζ70−ζ14+ζ22−ζ14+ζ22ζ14+ζ62+ζ70ζ14+ζ62+ζ70−ζ22−ζ62−ζ70−ζ22−ζ62−ζ700−3300000000
χ2633333333333333-1-1333333000000000000-1-1-1-1000000000000-1-1000000000000-1-1-1111-1-1-11-1
χ2733333333333333-1-1333333000000000000-1-1-1-1000000000000-1-1000000000000-1-1-1-1-1-1111-11
χ2833333333333333-1-1-3-3-3-3-3-3000000000000-1-1-1-1000000000000-1-1000000000000111111-1-1-1-11
χ2933333333333333-1-1-3-3-3-3-3-3000000000000-1-1-1-1000000000000-1-1000000000000111-1-1-11111-1
χ30444-244-244-2-2-2-2-244000000-2-2-2-2-2-2-2-2-2-2-2-24-24-2111111111111-2-200000000000000000000000
χ31444-2-44-2-4-4-2-2222-44000000-2-2-2-2-2-2222222-424-2111111-1-1-1-1-1-12-200000000000000000000000
χ3244-2-24-2-2-2-211-211440000002ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ52−2ζ4−2ζ68−2ζ4−2ζ68-2-2-2-2−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ681100000000000000000000000
χ3344-2-24-2-2-2-211-211440000002ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ52−2ζ4−2ζ68−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ68-2-2-2-2−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ681100000000000000000000000
χ3444-2-24-2-2-2-211-21144000000−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ52-2-2-2-2ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ521100000000000000000000000
χ3544-2-2-4-2-222112-1-1-440000002ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68−2ζ44+2ζ52−2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52−2ζ4+2ζ44−2ζ522ζ4+2ζ682ζ4+2ζ6822-2-2−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68-1100000000000000000000000
χ3644-2-2-4-2-222112-1-1-440000002ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ52−2ζ4+2ζ44−2ζ522ζ4+2ζ682ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ44+2ζ52−2ζ6822-2-2−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68-1100000000000000000000000
χ3744-2-2-4-2-222112-1-1-44000000−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ4+2ζ682ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52−2ζ4+2ζ44−2ζ5222-2-2ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52-1100000000000000000000000
χ384-4440-4-4004-40000022−2222−2222−22111-1-1-13−33−33−30000111-1-1-13−33−33−300ζ15−ζ21−ζ15+ζ21ζ15−ζ21−ζ15+ζ21ζ15−ζ21−ζ15+ζ21−ζ39+ζ69ζ39−ζ69−ζ39+ζ69ζ39−ζ69−ζ39+ζ69ζ39−ζ6900000000000
χ394-4440-4-4004-40000022−2222−2222−22111-1-1-1−33−33−330000111-1-1-1−33−33−3300ζ39−ζ69−ζ39+ζ69ζ39−ζ69−ζ39+ζ69ζ39−ζ69−ζ39+ζ69−ζ15+ζ21ζ15−ζ21−ζ15+ζ21ζ15−ζ21−ζ15+ζ21ζ15−ζ2100000000000
χ404-4440-4-4004-40000022−2222−2222−22-2-2-22220000000000-2-2-2222000000002−22−22−2−22−22−2200000000000
χ414-4440-4-4004-400000−2222−2222−2222111-1-1-13−33−33−30000111-1-1-13−33−33−300−ζ15+ζ21ζ15−ζ21−ζ15+ζ21ζ15−ζ21−ζ15+ζ21ζ15−ζ21ζ39−ζ69−ζ39+ζ69ζ39−ζ69−ζ39+ζ69ζ39−ζ69−ζ39+ζ6900000000000
χ424-4440-4-4004-400000−2222−2222−2222111-1-1-1−33−33−330000111-1-1-1−33−33−3300−ζ39+ζ69ζ39−ζ69−ζ39+ζ69ζ39−ζ69−ζ39+ζ69ζ39−ζ69ζ15−ζ21−ζ15+ζ21ζ15−ζ21−ζ15+ζ21ζ15−ζ21−ζ15+ζ2100000000000
χ434-4440-4-4004-400000−2222−2222−2222-2-2-22220000000000-2-2-222200000000−22−22−222−22−22−200000000000
χ444-4-2402-423−23-22023−230022−222ζ15−2ζ21−2ζ15+2ζ212ζ39−2ζ69−2ζ39+2ζ69−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ14+ζ62+ζ70−ζ14−ζ62−ζ70−ζ22−ζ62−ζ70ζ22+ζ62+ζ70−ζ14+ζ22ζ14−ζ220000−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ14+ζ62+ζ70−ζ14−ζ62−ζ70−ζ22−ζ62−ζ70ζ22+ζ62+ζ70−ζ14+ζ22ζ14−ζ2200ζ5+ζ7+ζ53−ζ5−ζ7−ζ53−ζ7−ζ31−ζ53ζ7+ζ31+ζ53−ζ5+ζ31ζ5−ζ31ζ23+ζ61+ζ71−ζ23−ζ61−ζ71−ζ13−ζ61−ζ71ζ13+ζ61+ζ71ζ13−ζ23−ζ13+ζ2300000000000
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Here ζ is a primitive root of unity of order 72 (ζ72 = 1); i = ζ18.