Finite Group Databasebeta

← Group #13146226

Character table — Group #13146226

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111666666888812122222121212121212161616162424222212121212121216161616242422221212121212121616161624242222121212121212161616162424999954545454545472727272108108
order12224488883666443666121224242424366612129181818363672727272918181836369181818363672727272918181836369181818363672727272918181836362222448888666644
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1
χ31-11-11-1ii−i−i11-1-1i−i1-11-11-1ii−i−i11-1-1i−i1-11-11-1ii−i−i11-1-1i−i1-11-11-1ii−i−i11-1-1i−i1-11-11-1ii−i−i11-1-1i−i1-11-11-1ii−i−i11-1-1i−i
χ41-11-11-1−i−iii11-1-1−ii1-11-11-1−i−iii11-1-1−ii1-11-11-1−i−iii11-1-1−ii1-11-11-1−i−iii11-1-1−ii1-11-11-1−i−iii11-1-1−ii1-11-11-1−i−iii11-1-1−ii
χ52222220000-1-1-1-1002222220000-1-1-1-1002222220000-1-1-1-1002222220000-1-1-1-1002222220000-1-1-1-1002222220000-1-1-1-100
χ622-2-2002−22−2-111-10022-2-2002−22−2-111-10022-2-2002−22−2-111-10022-2-2002−22−2-111-10022-2-2002−22−2-111-10022-2-2002−22−2-111-100
χ722-2-200−22−22-111-10022-2-200−22−22-111-10022-2-200−22−22-111-10022-2-200−22−22-111-10022-2-200−22−22-111-10022-2-200−22−22-111-100
χ82-22-22-20000-1-111002-22-22-20000-1-111002-22-22-20000-1-111002-22-22-20000-1-111002-22-22-20000-1-111002-22-22-20000-1-11100
χ92-2-2200i2−i2−i2i2-11-11002-2-2200i2−i2−i2i2-11-11002-2-2200i2−i2−i2i2-11-11002-2-2200i2−i2−i2i2-11-11002-2-2200i2−i2−i2i2-11-11002-2-2200i2−i2−i2i2-11-1100
χ102-2-2200−i2i2i2−i2-11-11002-2-2200−i2i2i2−i2-11-11002-2-2200−i2i2i2−i2-11-11002-2-2200−i2i2i2−i2-11-11002-2-2200−i2i2i2−i2-11-11002-2-2200−i2i2i2−i2-11-1100
χ113333-1-111110000-1-13333-1-111110000-1-13333-1-111110000-1-13333-1-111110000-1-13333-1-111110000-1-13333-1-111110000-1-1
χ123333-1-1-1-1-1-10000113333-1-1-1-1-1-10000113333-1-1-1-1-1-10000113333-1-1-1-1-1-10000113333-1-1-1-1-1-10000113333-1-1-1-1-1-1000011
χ133-33-3-11ii−i−i0000−ii3-33-3-11ii−i−i0000−ii3-33-3-11ii−i−i0000−ii3-33-3-11ii−i−i0000−ii3-33-3-11ii−i−i0000−ii3-33-3-11ii−i−i0000−ii
χ143-33-3-11−i−iii0000i−i3-33-3-11−i−iii0000i−i3-33-3-11−i−iii0000i−i3-33-3-11−i−iii0000i−i3-33-3-11−i−iii0000i−i3-33-3-11−i−iii0000i−i
χ1544-4-40000001-1-110044-4-40000001-1-110044-4-40000001-1-110044-4-40000001-1-110044-4-40000001-1-110044-4-40000001-1-1100
χ164-4-440000001-11-1004-4-440000001-11-1004-4-440000001-11-1004-4-440000001-11-1004-4-440000001-11-1004-4-440000001-11-100
χ1711111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ18111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ191-11-11-1ii−i−i11-1-1i−i1-11-11-1ii−i−i11-1-1i−i1-11-11-1ii−i−i11-1-1i−i1-11-11-1ii−i−i11-1-1i−i1-11-11-1ii−i−i11-1-1i−i-11-11-11−i−iii-1-111−ii
χ201-11-11-1−i−iii11-1-1−ii1-11-11-1−i−iii11-1-1−ii1-11-11-1−i−iii11-1-1−ii1-11-11-1−i−iii11-1-1−ii1-11-11-1−i−iii11-1-1−ii-11-11-11ii−i−i-1-111i−i
χ212222220000-1-1-1-1002222220000-1-1-1-1002222220000-1-1-1-1002222220000-1-1-1-1002222220000-1-1-1-100-2-2-2-2-2-20000111100
χ2222-2-2002−22−2-111-10022-2-2002−22−2-111-10022-2-2002−22−2-111-10022-2-2002−22−2-111-10022-2-2002−22−2-111-100-2-22200−22−221-1-1100
χ2322-2-200−22−22-111-10022-2-200−22−22-111-10022-2-200−22−22-111-10022-2-200−22−22-111-10022-2-200−22−22-111-100-2-222002−22−21-1-1100
χ242-22-22-20000-1-111002-22-22-20000-1-111002-22-22-20000-1-111002-22-22-20000-1-111002-22-22-20000-1-11100-22-22-22000011-1-100
χ252-2-2200i2−i2−i2i2-11-11002-2-2200i2−i2−i2i2-11-11002-2-2200i2−i2−i2i2-11-11002-2-2200i2−i2−i2i2-11-11002-2-2200i2−i2−i2i2-11-1100-222-200−i2i2i2−i21-11-100
χ262-2-2200−i2i2i2−i2-11-11002-2-2200−i2i2i2−i2-11-11002-2-2200−i2i2i2−i2-11-11002-2-2200−i2i2i2−i2-11-11002-2-2200−i2i2i2−i2-11-1100-222-200i2−i2−i2i21-11-100
χ273333-1-111110000-1-13333-1-111110000-1-13333-1-111110000-1-13333-1-111110000-1-13333-1-111110000-1-1-3-3-3-311-1-1-1-1000011
χ283333-1-1-1-1-1-10000113333-1-1-1-1-1-10000113333-1-1-1-1-1-10000113333-1-1-1-1-1-10000113333-1-1-1-1-1-1000011-3-3-3-31111110000-1-1
χ293-33-3-11ii−i−i0000−ii3-33-3-11ii−i−i0000−ii3-33-3-11ii−i−i0000−ii3-33-3-11ii−i−i0000−ii3-33-3-11ii−i−i0000−ii-33-331-1−i−iii0000i−i
χ303-33-3-11−i−iii0000i−i3-33-3-11−i−iii0000i−i3-33-3-11−i−iii0000i−i3-33-3-11−i−iii0000i−i3-33-3-11−i−iii0000i−i-33-331-1ii−i−i0000−ii
χ3144-4-40000001-1-110044-4-40000001-1-110044-4-40000001-1-110044-4-40000001-1-110044-4-40000001-1-1100-4-444000000-111-100
χ324-4-440000001-11-1004-4-440000001-11-1004-4-440000001-11-1004-4-440000001-11-1004-4-440000001-11-100-444-4000000-11-1100
χ3322222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ34222222-2-2-2-22222-2-2222222-2-2-2-22222-2-2-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1110000000000000000
χ352-22-22-22i2i−2i−2i22-2-22i−2i2-22-22-22i2i−2i−2i22-2-22i−2i-11-11-11−i−iii-1-111−ii-11-11-11−i−iii-1-111−ii-11-11-11−i−iii-1-111−ii0000000000000000
χ362-22-22-2−2i−2i2i2i22-2-2−2i2i2-22-22-2−2i−2i2i2i22-2-2−2i2i-11-11-11ii−i−i-1-111i−i-11-11-11ii−i−i-1-111i−i-11-11-11ii−i−i-1-111i−i0000000000000000
χ374444440000-2-2-2-2004444440000-2-2-2-200-2-2-2-2-2-20000111100-2-2-2-2-2-20000111100-2-2-2-2-2-200001111000000000000000000
χ3844-4-40022−2222−22-222-20044-4-40022−2222−22-222-200-2-22200−22−221-1-1100-2-22200−22−221-1-1100-2-22200−22−221-1-11000000000000000000
χ3944-4-400−2222−2222-222-20044-4-400−2222−2222-222-200-2-222002−22−21-1-1100-2-222002−22−21-1-1100-2-222002−22−21-1-11000000000000000000
χ404-44-44-40000-2-222004-44-44-40000-2-22200-22-22-22000011-1-100-22-22-22000011-1-100-22-22-22000011-1-1000000000000000000
χ414-4-44002i2−2i2−2i22i2-22-22004-4-44002i2−2i2−2i22i2-22-2200-222-200−i2i2i2−i21-11-100-222-200−i2i2i2−i21-11-100-222-200−i2i2i2−i21-11-1000000000000000000
χ424-4-4400−2i22i22i2−2i2-22-22004-4-4400−2i22i22i2−2i2-22-2200-222-200i2−i2−i2i21-11-100-222-200i2−i2−i2i21-11-100-222-200i2−i2−i2i21-11-1000000000000000000
χ436666-2-222220000-2-26666-2-222220000-2-2-3-3-3-311-1-1-1-1000011-3-3-3-311-1-1-1-1000011-3-3-3-311-1-1-1-10000110000000000000000
χ446666-2-2-2-2-2-20000226666-2-2-2-2-2-2000022-3-3-3-31111110000-1-1-3-3-3-31111110000-1-1-3-3-3-31111110000-1-10000000000000000
χ456-66-6-222i2i−2i−2i0000−2i2i6-66-6-222i2i−2i−2i0000−2i2i-33-331-1−i−iii0000i−i-33-331-1−i−iii0000i−i-33-331-1−i−iii0000i−i0000000000000000
χ466-66-6-22−2i−2i2i2i00002i−2i6-66-6-22−2i−2i2i2i00002i−2i-33-331-1ii−i−i0000−ii-33-331-1ii−i−i0000−ii-33-331-1ii−i−i0000−ii0000000000000000
χ4788-8-80000002-2-220088-8-80000002-2-2200-4-444000000-111-100-4-444000000-111-100-4-444000000-111-1000000000000000000
χ488-8-880000002-22-2008-8-880000002-22-200-444-4000000-11-1100-444-4000000-11-1100-444-4000000-11-11000000000000000000
χ492222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ680000000000000000
χ50222222-2-2-2-22222-2-2-1-1-1-1-1-11111-1-1-1-111ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68ζ4+ζ68ζ4+ζ68ζ4+ζ68ζ4+ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68ζ4+ζ68ζ4+ζ680000000000000000
χ512-22-22-22i2i−2i−2i22-2-22i−2i-11-11-11−i−iii-1-111−iiζ4−ζ44+ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52ζ22−ζ62+ζ70ζ22−ζ62+ζ70−ζ22+ζ62−ζ70−ζ22+ζ62−ζ70ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ22−ζ62+ζ70−ζ22+ζ62−ζ70ζ44−ζ52+ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68ζ14+ζ62−ζ70ζ14+ζ62−ζ70−ζ14−ζ62+ζ70−ζ14−ζ62+ζ70ζ44−ζ52+ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68ζ14+ζ62−ζ70−ζ14−ζ62+ζ70−ζ4−ζ68ζ4+ζ68−ζ4−ζ68ζ4+ζ68−ζ4−ζ68ζ4+ζ68−ζ14−ζ22−ζ14−ζ22ζ14+ζ22ζ14+ζ22−ζ4−ζ68−ζ4−ζ68ζ4+ζ68ζ4+ζ68−ζ14−ζ22ζ14+ζ220000000000000000
χ522-22-22-2−2i−2i2i2i22-2-2−2i2i-11-11-11ii−i−i-1-111i−iζ4−ζ44+ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ22+ζ62−ζ70−ζ22+ζ62−ζ70ζ22−ζ62+ζ70ζ22−ζ62+ζ70ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ22+ζ62−ζ70ζ22−ζ62+ζ70ζ44−ζ52+ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68−ζ14−ζ62+ζ70−ζ14−ζ62+ζ70ζ14+ζ62−ζ70ζ14+ζ62−ζ70ζ44−ζ52+ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ14−ζ62+ζ70ζ14+ζ62−ζ70−ζ4−ζ68ζ4+ζ68−ζ4−ζ68ζ4+ζ68−ζ4−ζ68ζ4+ζ68ζ14+ζ22ζ14+ζ22−ζ14−ζ22−ζ14−ζ22−ζ4−ζ68−ζ4−ζ68ζ4+ζ68ζ4+ζ68ζ14+ζ22−ζ14−ζ220000000000000000
χ534444440000-2-2-2-200-2-2-2-2-2-200001111002ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ520000−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52002ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ680000−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ6800−2ζ4−2ζ68−2ζ4−2ζ68−2ζ4−2ζ68−2ζ4−2ζ68−2ζ4−2ζ68−2ζ4−2ζ680000ζ4+ζ68ζ4+ζ68ζ4+ζ68ζ4+ζ68000000000000000000
χ5444-4-40022−2222−22-222-200-2-22200−22−221-1-11002ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ52−2ζ4+2ζ44−2ζ5200−ζ7+ζ13−ζ31−ζ53+ζ61+ζ71ζ7−ζ13+ζ31+ζ53−ζ61−ζ71−ζ7+ζ13−ζ31−ζ53+ζ61+ζ71ζ7−ζ13+ζ31+ζ53−ζ61−ζ71−ζ4+ζ44−ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52002ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ68−2ζ44+2ζ52−2ζ6800ζ5+ζ7−ζ23+ζ53−ζ61−ζ71−ζ5−ζ7+ζ23−ζ53+ζ61+ζ71ζ5+ζ7−ζ23+ζ53−ζ61−ζ71−ζ5−ζ7+ζ23−ζ53+ζ61+ζ71−ζ44+ζ52−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ6800−2ζ4−2ζ68−2ζ4−2ζ682ζ4+2ζ682ζ4+2ζ6800−ζ5−ζ13+ζ23+ζ31ζ5+ζ13−ζ23−ζ31−ζ5−ζ13+ζ23+ζ31ζ5+ζ13−ζ23−ζ31ζ4+ζ68−ζ4−ζ68−ζ4−ζ68ζ4+ζ68000000000000000000
χ5544-4-400−2222−2222-222-200-2-222002−22−21-1-11002ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ52−2ζ4+2ζ44−2ζ5200ζ7−ζ13+ζ31+ζ53−ζ61−ζ71−ζ7+ζ13−ζ31−ζ53+ζ61+ζ71ζ7−ζ13+ζ31+ζ53−ζ61−ζ71−ζ7+ζ13−ζ31−ζ53+ζ61+ζ71−ζ4+ζ44−ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52002ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ68−2ζ44+2ζ52−2ζ6800−ζ5−ζ7+ζ23−ζ53+ζ61+ζ71ζ5+ζ7−ζ23+ζ53−ζ61−ζ71−ζ5−ζ7+ζ23−ζ53+ζ61+ζ71ζ5+ζ7−ζ23+ζ53−ζ61−ζ71−ζ44+ζ52−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ6800−2ζ4−2ζ68−2ζ4−2ζ682ζ4+2ζ682ζ4+2ζ6800ζ5+ζ13−ζ23−ζ31−ζ5−ζ13+ζ23+ζ31ζ5+ζ13−ζ23−ζ31−ζ5−ζ13+ζ23+ζ31ζ4+ζ68−ζ4−ζ68−ζ4−ζ68ζ4+ζ68000000000000000000
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χ842-22-22-2−2i−2i2i2i22-2-2−2i2i-11-11-11ii−i−i-1-111i−i−ζ4−ζ68ζ4+ζ68−ζ4−ζ68ζ4+ζ68−ζ4−ζ68ζ4+ζ68ζ14+ζ22ζ14+ζ22−ζ14−ζ22−ζ14−ζ22−ζ4−ζ68−ζ4−ζ68ζ4+ζ68ζ4+ζ68ζ14+ζ22−ζ14−ζ22ζ4−ζ44+ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ22+ζ62−ζ70−ζ22+ζ62−ζ70ζ22−ζ62+ζ70ζ22−ζ62+ζ70ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ22+ζ62−ζ70ζ22−ζ62+ζ70ζ44−ζ52+ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68−ζ14−ζ62+ζ70−ζ14−ζ62+ζ70ζ14+ζ62−ζ70ζ14+ζ62−ζ70ζ44−ζ52+ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ14−ζ62+ζ70ζ14+ζ62−ζ700000000000000000
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χ936-66-6-222i2i−2i−2i0000−2i2i-33-331-1−i−iii0000i−i−3ζ4−3ζ683ζ4+3ζ68−3ζ4−3ζ683ζ4+3ζ68ζ4+ζ68−ζ4−ζ68−ζ14−ζ22−ζ14−ζ22ζ14+ζ22ζ14+ζ220000ζ14+ζ22−ζ14−ζ223ζ4−3ζ44+3ζ52−3ζ4+3ζ44−3ζ523ζ4−3ζ44+3ζ52−3ζ4+3ζ44−3ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ52ζ22−ζ62+ζ70ζ22−ζ62+ζ70−ζ22+ζ62−ζ70−ζ22+ζ62−ζ700000−ζ22+ζ62−ζ70ζ22−ζ62+ζ703ζ44−3ζ52+3ζ68−3ζ44+3ζ52−3ζ683ζ44−3ζ52+3ζ68−3ζ44+3ζ52−3ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68ζ14+ζ62−ζ70ζ14+ζ62−ζ70−ζ14−ζ62+ζ70−ζ14−ζ62+ζ700000−ζ14−ζ62+ζ70ζ14+ζ62−ζ700000000000000000
χ946-66-6-22−2i−2i2i2i00002i−2i-33-331-1ii−i−i0000−ii−3ζ4−3ζ683ζ4+3ζ68−3ζ4−3ζ683ζ4+3ζ68ζ4+ζ68−ζ4−ζ68ζ14+ζ22ζ14+ζ22−ζ14−ζ22−ζ14−ζ220000−ζ14−ζ22ζ14+ζ223ζ4−3ζ44+3ζ52−3ζ4+3ζ44−3ζ523ζ4−3ζ44+3ζ52−3ζ4+3ζ44−3ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ52−ζ22+ζ62−ζ70−ζ22+ζ62−ζ70ζ22−ζ62+ζ70ζ22−ζ62+ζ700000ζ22−ζ62+ζ70−ζ22+ζ62−ζ703ζ44−3ζ52+3ζ68−3ζ44+3ζ52−3ζ683ζ44−3ζ52+3ζ68−3ζ44+3ζ52−3ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68−ζ14−ζ62+ζ70−ζ14−ζ62+ζ70ζ14+ζ62−ζ70ζ14+ζ62−ζ700000ζ14+ζ62−ζ70−ζ14−ζ62+ζ700000000000000000
χ9588-8-80000002-2-2200-4-444000000-111-100−4ζ4−4ζ68−4ζ4−4ζ684ζ4+4ζ684ζ4+4ζ68000000−ζ4−ζ68ζ4+ζ68ζ4+ζ68−ζ4−ζ68004ζ4−4ζ44+4ζ524ζ4−4ζ44+4ζ52−4ζ4+4ζ44−4ζ52−4ζ4+4ζ44−4ζ52000000ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ52004ζ44−4ζ52+4ζ684ζ44−4ζ52+4ζ68−4ζ44+4ζ52−4ζ68−4ζ44+4ζ52−4ζ68000000ζ44−ζ52+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68000000000000000000
χ968-8-880000002-22-200-444-4000000-11-1100−4ζ4−4ζ684ζ4+4ζ684ζ4+4ζ68−4ζ4−4ζ68000000−ζ4−ζ68ζ4+ζ68−ζ4−ζ68ζ4+ζ68004ζ4−4ζ44+4ζ52−4ζ4+4ζ44−4ζ52−4ζ4+4ζ44−4ζ524ζ4−4ζ44+4ζ52000000ζ4−ζ44+ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52004ζ44−4ζ52+4ζ68−4ζ44+4ζ52−4ζ68−4ζ44+4ζ52−4ζ684ζ44−4ζ52+4ζ68000000ζ44−ζ52+ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68000000000000000000

Here ζ is a primitive root of unity of order 72 (ζ72 = 1); i = ζ18.