Finite Group Databasebeta

← Group #13146220

Character table — Group #13146220

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222222222668888121212121212121212121212121212121212121212121212121216161616161616161616161616161616181824242424242424242472727272108108108216
order122236669991818181818181818184436668812122424242436363636363672727272727272727272727236669991818181818181818184441212363636363636121212122884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-111111-1-1-1
χ411111111111111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ52222222222222222222222-1-1-1-100220000222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122000000000-1-1-1-12000
χ62222222222222222222222-1-1-1-100220000222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20000000001111-2000
χ722222222-1-1-1-1-1-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100222-1-1-1-1-1-100000000
χ822222222-1-1-1-1-1-1-1-1-1-1-1-1222222-2-222-2-2-2-2-1-1-1-1-1-11111111111112222-1-1-1-1-1-1-1-1-1-1-1-100-2-2-211111100000000
χ92222-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6822222222-1-1-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68002-1-1ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ6800000000
χ102222-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68222222-2-2-1-11111ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68ζ4+ζ68ζ4+ζ68-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ4−ζ6800-211−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ6800000000
χ112222-1-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ6822222222-1-1-1-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68-1-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68002-1-1ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ6800000000
χ122222-1-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68222222-2-2-1-11111ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68-1-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ6800-211−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ6800000000
χ132222-1-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ5222222222-1-1-1-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52-1-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52002-1-1−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ5200000000
χ142222-1-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52222222-2-2-1-11111−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68ζ4+ζ68ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52-1-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ5200-211ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ5200000000
χ152-22-22-2-22222-2-2-2-2-2-222200-11-11−i2i200−i2−i2i2i2000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2-111-1-1-1-111-111-111-12i−2i000000000ii−i−i02−20
χ162-22-22-2-22222-2-2-2-2-2-222200-11-11−i2i200−i2−i2i2i2000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2-111-1-1-1-111-111-111-1−2i2i000000000−i−iii0−220
χ172-22-22-2-22222-2-2-2-2-2-222200-11-11i2−i200i2i2−i2−i2000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2-111-1-1-1-111-111-111-12i−2i000000000ii−i−i0−220
χ182-22-22-2-22222-2-2-2-2-2-222200-11-11i2−i200i2i2−i2−i2000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2-111-1-1-1-111-111-111-1−2i2i000000000−i−iii02−20
χ192-2-222-22-2222-2-2-2222-2-2-2-222-2-22002-20000222-2-2-200000000000022-2-22222-2-22-2-22-2-20000000000000000000
χ202-2-222-22-2222-2-2-2222-2-2-2-22-111-1002-20000222-2-2-2000000000000-1-111-1-1-1-111-111-11100000000000−i3i3−i3i30000
χ212-2-222-22-2222-2-2-2222-2-2-2-22-111-1002-20000222-2-2-2000000000000-1-111-1-1-1-111-111-11100000000000i3−i3i3−i30000
χ222-2-222-22-2-1-1-1111-1-1-1111-222-2-22002-20000-1-1-11113−33−33−33−33−33−322-2-2-1-1-1-111-111-111000003−33−33−300000000
χ232-2-222-22-2-1-1-1111-1-1-1111-222-2-22002-20000-1-1-1111−33−33−33−33−33−3322-2-2-1-1-1-111-111-11100000−33−33−3300000000
χ242-2-22-11-11ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68-222-2-2200-113−33−3ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ14+ζ62+ζ70−ζ14−ζ62−ζ70ζ14+ζ62+ζ70−ζ14−ζ62−ζ70−ζ22−ζ62−ζ70ζ22+ζ62+ζ70−ζ22−ζ62−ζ70ζ22+ζ62+ζ70−ζ14+ζ22ζ14−ζ22−ζ14+ζ22ζ14−ζ22-1-111ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4−ζ68ζ4+ζ68ζ4+ζ680003−3ζ14+ζ62+ζ70−ζ14−ζ62−ζ70−ζ22−ζ62−ζ70ζ22+ζ62+ζ70−ζ14+ζ22ζ14−ζ2200000000
χ252-2-22-11-11ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68-222-2-2200-11−33−33ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ14−ζ62−ζ70ζ14+ζ62+ζ70−ζ14−ζ62−ζ70ζ14+ζ62+ζ70ζ22+ζ62+ζ70−ζ22−ζ62−ζ70ζ22+ζ62+ζ70−ζ22−ζ62−ζ70ζ14−ζ22−ζ14+ζ22ζ14−ζ22−ζ14+ζ22-1-111ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4−ζ68ζ4+ζ68ζ4+ζ68000−33−ζ14−ζ62−ζ70ζ14+ζ62+ζ70ζ22+ζ62+ζ70−ζ22−ζ62−ζ70ζ14−ζ22−ζ14+ζ2200000000
χ262-2-22-11-11ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68-222-2-2200-113−33−3ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ22−ζ62−ζ70ζ22+ζ62+ζ70−ζ22−ζ62−ζ70ζ22+ζ62+ζ70−ζ14+ζ22ζ14−ζ22−ζ14+ζ22ζ14−ζ22ζ14+ζ62+ζ70−ζ14−ζ62−ζ70ζ14+ζ62+ζ70−ζ14−ζ62−ζ70-1-111ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4−ζ68ζ4+ζ68ζ4+ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ680003−3−ζ22−ζ62−ζ70ζ22+ζ62+ζ70−ζ14+ζ22ζ14−ζ22ζ14+ζ62+ζ70−ζ14−ζ62−ζ7000000000
χ272-2-22-11-11ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68-222-2-2200-11−33−33ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ22+ζ62+ζ70−ζ22−ζ62−ζ70ζ22+ζ62+ζ70−ζ22−ζ62−ζ70ζ14−ζ22−ζ14+ζ22ζ14−ζ22−ζ14+ζ22−ζ14−ζ62−ζ70ζ14+ζ62+ζ70−ζ14−ζ62−ζ70ζ14+ζ62+ζ70-1-111ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4−ζ68ζ4+ζ68ζ4+ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68000−33ζ22+ζ62+ζ70−ζ22−ζ62−ζ70ζ14−ζ22−ζ14+ζ22−ζ14−ζ62−ζ70ζ14+ζ62+ζ7000000000
χ282-2-22-11-11−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52-222-2-2200-113−33−3−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ14+ζ22ζ14−ζ22−ζ14+ζ22ζ14−ζ22ζ14+ζ62+ζ70−ζ14−ζ62−ζ70ζ14+ζ62+ζ70−ζ14−ζ62−ζ70−ζ22−ζ62−ζ70ζ22+ζ62+ζ70−ζ22−ζ62−ζ70ζ22+ζ62+ζ70-1-111−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ4+ζ68ζ4+ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ520003−3−ζ14+ζ22ζ14−ζ22ζ14+ζ62+ζ70−ζ14−ζ62−ζ70−ζ22−ζ62−ζ70ζ22+ζ62+ζ7000000000
χ292-2-22-11-11−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52-222-2-2200-11−33−33−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ14−ζ22−ζ14+ζ22ζ14−ζ22−ζ14+ζ22−ζ14−ζ62−ζ70ζ14+ζ62+ζ70−ζ14−ζ62−ζ70ζ14+ζ62+ζ70ζ22+ζ62+ζ70−ζ22−ζ62−ζ70ζ22+ζ62+ζ70−ζ22−ζ62−ζ70-1-111−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ4+ζ68ζ4+ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52000−33ζ14−ζ22−ζ14+ζ22−ζ14−ζ62−ζ70ζ14+ζ62+ζ70ζ22+ζ62+ζ70−ζ22−ζ62−ζ7000000000
χ3033333333333333333333-1-1000011-1-11111-1-1-1-1-1-1111111111111000000000000000033-1-1-1-1-1-1-1-1-10000-111-1
χ3133333333333333333333-1-1000011-1-11111-1-1-1-1-1-11111111111110000000000000000-3-3-1-1-1-1-1-1-1-1-100001-1-11
χ3233333333333333333333-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000331111111110000-1-1-11
χ3333333333333333333333-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-3-31111111110000111-1
χ3444444444-2-2-2-2-2-2-2-2-2-2-2-244-2-2-2-200440000-2-2-2-2-2-2000000000000-2-2-2-21111111111110000000000000000000
χ354444-2-2-2-22ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ6844-2-2-2-200-2-200002ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ680000000000001111−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68ζ4+ζ680000000000000000000
χ364444-2-2-2-22ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ6844-2-2-2-200-2-200002ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ680000000000001111−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ680000000000000000000
χ374444-2-2-2-2−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ5244-2-2-2-200-2-20000−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ520000000000001111ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ520000000000000000000
χ3844-4-444-4-4444444-4-4-4-4-4-40011-1-1000000000000000000000000001-11-1111-11-1-11-1-11-1000000000003−3−330000
χ3944-4-444-4-4444444-4-4-4-4-4-40011-1-1000000000000000000000000001-11-1111-11-1-11-1-11-100000000000−333−30000
χ4044-4-444-4-4444444-4-4-4-4-4-400-2-22200000000000000000000000000-22-22-2-2-22-222-222-220000000000000000000
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Here ζ is a primitive root of unity of order 72 (ζ72 = 1); i = ζ18.