Finite Group Databasebeta

← Group #13053604

Character table — Group #13053604

Order 1344.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size11222222244444444121212122244444448888888824242424224444444888888882424242422444444488888888242424247714141414141414282828282828282884848484
order12234461212688122424242444887141421282842848442565684168168168168282856567141421282842848442565684168168168168282856567141421282842848442565684168168168168282856562226446121268812242424244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111-1-1-1-111111111111111111-1-1-1-111111111111111111-1-1-1-111111111111111111-1-1-1-111111111111111111-1-1-1-1
χ31111111111-1-11-1-1-1-111-1-11111111111-1-11-1-1-1-111-1-11111111111-1-11-1-1-1-111-1-11111111111-1-11-1-1-1-111-1-11111111111-1-11-1-1-1-111-1-1
χ41111111111-1-11-1-1-1-1-1-1111111111111-1-11-1-1-1-1-1-1111111111111-1-11-1-1-1-1-1-1111111111111-1-11-1-1-1-1-1-1111111111111-1-11-1-1-1-1-1-111
χ51111-1-11-1-11i−i-1ii−i−i1-1i−i1111-1-11-1-11i−i-1ii−i−i1-1i−i1111-1-11-1-11i−i-1ii−i−i1-1i−i1111-1-11-1-11i−i-1ii−i−i1-1i−i1111-1-11-1-11i−i-1ii−i−i1-1i−i
χ61111-1-11-1-11i−i-1ii−i−i-11−ii1111-1-11-1-11i−i-1ii−i−i-11−ii1111-1-11-1-11i−i-1ii−i−i-11−ii1111-1-11-1-11i−i-1ii−i−i-11−ii1111-1-11-1-11i−i-1ii−i−i-11−ii
χ71111-1-11-1-11−ii-1−i−iii1-1−ii1111-1-11-1-11−ii-1−i−iii1-1−ii1111-1-11-1-11−ii-1−i−iii1-1−ii1111-1-11-1-11−ii-1−i−iii1-1−ii1111-1-11-1-11−ii-1−i−iii1-1−ii
χ81111-1-11-1-11−ii-1−i−iii-11i−i1111-1-11-1-11−ii-1−i−iii-11i−i1111-1-11-1-11−ii-1−i−iii-11i−i1111-1-11-1-11−ii-1−i−iii-11i−i1111-1-11-1-11−ii-1−i−iii-11i−i
χ9222-122-1-1-1-122-1-1-1-1-10000222-122-1-1-1-122-1-1-1-1-10000222-122-1-1-1-122-1-1-1-1-10000222-122-1-1-1-122-1-1-1-1-10000222-122-1-1-1-122-1-1-1-1-10000
χ10222-122-1-1-1-1-2-2-111110000222-122-1-1-1-1-2-2-111110000222-122-1-1-1-1-2-2-111110000222-122-1-1-1-1-2-2-111110000222-122-1-1-1-1-2-2-111110000
χ11222-1-2-2-111-12i−2i1−i−iii0000222-1-2-2-111-12i−2i1−i−iii0000222-1-2-2-111-12i−2i1−i−iii0000222-1-2-2-111-12i−2i1−i−iii0000222-1-2-2-111-12i−2i1−i−iii0000
χ12222-1-2-2-111-1−2i2i1ii−i−i0000222-1-2-2-111-1−2i2i1ii−i−i0000222-1-2-2-111-1−2i2i1ii−i−i0000222-1-2-2-111-1−2i2i1ii−i−i0000222-1-2-2-111-1−2i2i1ii−i−i0000
χ1322-222-2222-200-20000000022-222-2222-200-20000000022-222-2222-200-20000000022-222-2222-200-20000000022-222-2222-200-200000000
χ1422-22-222-2-2-20020000000022-22-222-2-2-20020000000022-22-222-2-2-20020000000022-22-222-2-2-20020000000022-22-222-2-2-200200000000
χ1522-2-12-2-1-1-11001−i3i3−i3i3000022-2-12-2-1-1-11001−i3i3−i3i3000022-2-12-2-1-1-11001−i3i3−i3i3000022-2-12-2-1-1-11001−i3i3−i3i3000022-2-12-2-1-1-11001−i3i3−i3i30000
χ1622-2-12-2-1-1-11001i3−i3i3−i3000022-2-12-2-1-1-11001i3−i3i3−i3000022-2-12-2-1-1-11001i3−i3i3−i3000022-2-12-2-1-1-11001i3−i3i3−i3000022-2-12-2-1-1-11001i3−i3i3−i30000
χ1722-2-1-22-111100-13−3−33000022-2-1-22-111100-13−3−33000022-2-1-22-111100-13−3−33000022-2-1-22-111100-13−3−33000022-2-1-22-111100-13−3−330000
χ1822-2-1-22-111100-1−333−3000022-2-1-22-111100-1−333−3000022-2-1-22-111100-1−333−3000022-2-1-22-111100-1−333−3000022-2-1-22-111100-1−333−30000
χ194-40400-4000000000000004-40400-4000000000000004-40400-4000000000000004-40400-4000000000000004-40400-400000000000000
χ204-40-200223−230000000000004-40-200223−230000000000004-40-200223−230000000000004-40-200223−230000000000004-40-200223−23000000000000
χ214-40-2002−23230000000000004-40-2002−23230000000000004-40-2002−23230000000000004-40-2002−23230000000000004-40-2002−2323000000000000
χ22111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2311111111111111111-1-1-1-111111111111111111-1-1-1-111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ241111111111-1-11-1-1-1-111-1-11111111111-1-11-1-1-1-111-1-11111111111-1-11-1-1-1-111-1-11111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-111
χ251111111111-1-11-1-1-1-1-1-1111111111111-1-11-1-1-1-1-1-1111111111111-1-11-1-1-1-1-1-1111111111111-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1111111-1-1
χ261111-1-11-1-11i−i-1ii−i−i1-1i−i1111-1-11-1-11i−i-1ii−i−i1-1i−i1111-1-11-1-11i−i-1ii−i−i1-1i−i1111-1-11-1-11i−i-1ii−i−i1-1i−i-1-1-1-111-111-1−ii1−i−iii-11−ii
χ271111-1-11-1-11i−i-1ii−i−i-11−ii1111-1-11-1-11i−i-1ii−i−i-11−ii1111-1-11-1-11i−i-1ii−i−i-11−ii1111-1-11-1-11i−i-1ii−i−i-11−ii-1-1-1-111-111-1−ii1−i−iii1-1i−i
χ281111-1-11-1-11−ii-1−i−iii1-1−ii1111-1-11-1-11−ii-1−i−iii1-1−ii1111-1-11-1-11−ii-1−i−iii1-1−ii1111-1-11-1-11−ii-1−i−iii1-1−ii-1-1-1-111-111-1i−i1ii−i−i-11i−i
χ291111-1-11-1-11−ii-1−i−iii-11i−i1111-1-11-1-11−ii-1−i−iii-11i−i1111-1-11-1-11−ii-1−i−iii-11i−i1111-1-11-1-11−ii-1−i−iii-11i−i-1-1-1-111-111-1i−i1ii−i−i1-1−ii
χ30222-122-1-1-1-122-1-1-1-1-10000222-122-1-1-1-122-1-1-1-1-10000222-122-1-1-1-122-1-1-1-1-10000222-122-1-1-1-122-1-1-1-1-10000-2-2-21-2-21111-2-2111110000
χ31222-122-1-1-1-1-2-2-111110000222-122-1-1-1-1-2-2-111110000222-122-1-1-1-1-2-2-111110000222-122-1-1-1-1-2-2-111110000-2-2-21-2-21111221-1-1-1-10000
χ32222-1-2-2-111-12i−2i1−i−iii0000222-1-2-2-111-12i−2i1−i−iii0000222-1-2-2-111-12i−2i1−i−iii0000222-1-2-2-111-12i−2i1−i−iii0000-2-2-21221-1-11−2i2i-1ii−i−i0000
χ33222-1-2-2-111-1−2i2i1ii−i−i0000222-1-2-2-111-1−2i2i1ii−i−i0000222-1-2-2-111-1−2i2i1ii−i−i0000222-1-2-2-111-1−2i2i1ii−i−i0000-2-2-21221-1-112i−2i-1−i−iii0000
χ3422-222-2222-200-20000000022-222-2222-200-20000000022-222-2222-200-20000000022-222-2222-200-200000000-2-22-2-22-2-2-2200200000000
χ3522-22-222-2-2-20020000000022-22-222-2-2-20020000000022-22-222-2-2-20020000000022-22-222-2-2-200200000000-2-22-22-2-222200-200000000
χ3622-2-12-2-1-1-11001−i3i3−i3i3000022-2-12-2-1-1-11001−i3i3−i3i3000022-2-12-2-1-1-11001−i3i3−i3i3000022-2-12-2-1-1-11001−i3i3−i3i30000-2-221-22111-100-1i3−i3i3−i30000
χ3722-2-12-2-1-1-11001i3−i3i3−i3000022-2-12-2-1-1-11001i3−i3i3−i3000022-2-12-2-1-1-11001i3−i3i3−i3000022-2-12-2-1-1-11001i3−i3i3−i30000-2-221-22111-100-1−i3i3−i3i30000
χ3822-2-1-22-111100-13−3−33000022-2-1-22-111100-13−3−33000022-2-1-22-111100-13−3−33000022-2-1-22-111100-13−3−330000-2-2212-21-1-1-1001−333−30000
χ3922-2-1-22-111100-1−333−3000022-2-1-22-111100-1−333−3000022-2-1-22-111100-1−333−3000022-2-1-22-111100-1−333−30000-2-2212-21-1-1-10013−3−330000
χ404-40400-4000000000000004-40400-4000000000000004-40400-4000000000000004-40400-400000000000000-440-400400000000000000
χ414-40-200223−230000000000004-40-200223−230000000000004-40-200223−230000000000004-40-200223−23000000000000-440200-2−2323000000000000
χ424-40-2002−23230000000000004-40-2002−23230000000000004-40-2002−23230000000000004-40-2002−2323000000000000-440200-223−23000000000000
χ43222222222222222222222ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62000000000000000000000
χ4422222222222222222-2-2-2-2ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62000000000000000000000
χ452222222222-2-22-2-2-2-222-2-2ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82ζ2+ζ26+ζ58+ζ82−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74ζ10+ζ38+ζ46+ζ74−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62ζ22+ζ34+ζ50+ζ62−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62000000000000000000000
χ462222222222-2-22-2-2-2-2-2-222ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82ζ2+ζ26+ζ58+ζ82−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74ζ10+ζ38+ζ46+ζ74−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62ζ22+ζ34+ζ50+ζ62−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62000000000000000000000
χ472222-2-22-2-222i−2i-22i2i−2i−2i2-22i−2iζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82ζ2+ζ26+ζ58+ζ82−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82ζ2+ζ26+ζ58+ζ82ζ19+ζ23+ζ47+ζ79−ζ19−ζ23−ζ47−ζ79−ζ2−ζ26−ζ58−ζ82ζ19+ζ23+ζ47+ζ79ζ19+ζ23+ζ47+ζ79−ζ19−ζ23−ζ47−ζ79−ζ19−ζ23−ζ47−ζ79ζ2+ζ26+ζ58+ζ82−ζ2−ζ26−ζ58−ζ82ζ19+ζ23+ζ47+ζ79−ζ19−ζ23−ζ47−ζ79ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74ζ10+ζ38+ζ46+ζ74−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74ζ10+ζ38+ζ46+ζ74ζ11+ζ31+ζ59+ζ67−ζ11−ζ31−ζ59−ζ67−ζ10−ζ38−ζ46−ζ74ζ11+ζ31+ζ59+ζ67ζ11+ζ31+ζ59+ζ67−ζ11−ζ31−ζ59−ζ67−ζ11−ζ31−ζ59−ζ67ζ10+ζ38+ζ46+ζ74−ζ10−ζ38−ζ46−ζ74ζ11+ζ31+ζ59+ζ67−ζ11−ζ31−ζ59−ζ67ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62ζ22+ζ34+ζ50+ζ62−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62ζ22+ζ34+ζ50+ζ62ζ43+ζ55+ζ71+ζ83−ζ43−ζ55−ζ71−ζ83−ζ22−ζ34−ζ50−ζ62ζ43+ζ55+ζ71+ζ83ζ43+ζ55+ζ71+ζ83−ζ43−ζ55−ζ71−ζ83−ζ43−ζ55−ζ71−ζ83ζ22+ζ34+ζ50+ζ62−ζ22−ζ34−ζ50−ζ62ζ43+ζ55+ζ71+ζ83−ζ43−ζ55−ζ71−ζ83000000000000000000000
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χ9944-4-24-4-2-2-22002−2i32i3−2i32i300002ζ22+2ζ34+2ζ50+2ζ622ζ22+2ζ34+2ζ50+2ζ62−2ζ22−2ζ34−2ζ50−2ζ62−ζ22−ζ34−ζ50−ζ622ζ22+2ζ34+2ζ50+2ζ62−2ζ22−2ζ34−2ζ50−2ζ62−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62ζ22+ζ34+ζ50+ζ6200ζ22+ζ34+ζ50+ζ62ζ22+ζ34−ζ50−ζ62−ζ22−ζ34+ζ50+ζ62ζ22+ζ34−ζ50−ζ62−ζ22−ζ34+ζ50+ζ6200002ζ2+2ζ26+2ζ58+2ζ822ζ2+2ζ26+2ζ58+2ζ82−2ζ2−2ζ26−2ζ58−2ζ82−ζ2−ζ26−ζ58−ζ822ζ2+2ζ26+2ζ58+2ζ82−2ζ2−2ζ26−2ζ58−2ζ82−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82ζ2+ζ26+ζ58+ζ8200ζ2+ζ26+ζ58+ζ82−ζ2−ζ26+ζ58+ζ82ζ2+ζ26−ζ58−ζ82−ζ2−ζ26+ζ58+ζ82ζ2+ζ26−ζ58−ζ8200002ζ10+2ζ38+2ζ46+2ζ742ζ10+2ζ38+2ζ46+2ζ74−2ζ10−2ζ38−2ζ46−2ζ74−ζ10−ζ38−ζ46−ζ742ζ10+2ζ38+2ζ46+2ζ74−2ζ10−2ζ38−2ζ46−2ζ74−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74ζ10+ζ38+ζ46+ζ7400ζ10+ζ38+ζ46+ζ74ζ10−ζ38+ζ46−ζ74−ζ10+ζ38−ζ46+ζ74ζ10−ζ38+ζ46−ζ74−ζ10+ζ38−ζ46+ζ740000000000000000000000000
χ10044-4-24-4-2-2-220022i3−2i32i3−2i300002ζ22+2ζ34+2ζ50+2ζ622ζ22+2ζ34+2ζ50+2ζ62−2ζ22−2ζ34−2ζ50−2ζ62−ζ22−ζ34−ζ50−ζ622ζ22+2ζ34+2ζ50+2ζ62−2ζ22−2ζ34−2ζ50−2ζ62−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62ζ22+ζ34+ζ50+ζ6200ζ22+ζ34+ζ50+ζ62−ζ22−ζ34+ζ50+ζ62ζ22+ζ34−ζ50−ζ62−ζ22−ζ34+ζ50+ζ62ζ22+ζ34−ζ50−ζ6200002ζ2+2ζ26+2ζ58+2ζ822ζ2+2ζ26+2ζ58+2ζ82−2ζ2−2ζ26−2ζ58−2ζ82−ζ2−ζ26−ζ58−ζ822ζ2+2ζ26+2ζ58+2ζ82−2ζ2−2ζ26−2ζ58−2ζ82−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82ζ2+ζ26+ζ58+ζ8200ζ2+ζ26+ζ58+ζ82ζ2+ζ26−ζ58−ζ82−ζ2−ζ26+ζ58+ζ82ζ2+ζ26−ζ58−ζ82−ζ2−ζ26+ζ58+ζ8200002ζ10+2ζ38+2ζ46+2ζ742ζ10+2ζ38+2ζ46+2ζ74−2ζ10−2ζ38−2ζ46−2ζ74−ζ10−ζ38−ζ46−ζ742ζ10+2ζ38+2ζ46+2ζ74−2ζ10−2ζ38−2ζ46−2ζ74−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74ζ10+ζ38+ζ46+ζ7400ζ10+ζ38+ζ46+ζ74−ζ10+ζ38−ζ46+ζ74ζ10−ζ38+ζ46−ζ74−ζ10+ζ38−ζ46+ζ74ζ10−ζ38+ζ46−ζ740000000000000000000000000
χ10144-4-2-44-222200-223−23−232300002ζ22+2ζ34+2ζ50+2ζ622ζ22+2ζ34+2ζ50+2ζ62−2ζ22−2ζ34−2ζ50−2ζ62−ζ22−ζ34−ζ50−ζ62−2ζ22−2ζ34−2ζ50−2ζ622ζ22+2ζ34+2ζ50+2ζ62−ζ22−ζ34−ζ50−ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ6200−ζ22−ζ34−ζ50−ζ62ζ43+ζ55−ζ71−ζ83−ζ43−ζ55+ζ71+ζ83−ζ43−ζ55+ζ71+ζ83ζ43+ζ55−ζ71−ζ8300002ζ2+2ζ26+2ζ58+2ζ822ζ2+2ζ26+2ζ58+2ζ82−2ζ2−2ζ26−2ζ58−2ζ82−ζ2−ζ26−ζ58−ζ82−2ζ2−2ζ26−2ζ58−2ζ822ζ2+2ζ26+2ζ58+2ζ82−ζ2−ζ26−ζ58−ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ8200−ζ2−ζ26−ζ58−ζ82ζ19−ζ23−ζ47+ζ79−ζ19+ζ23+ζ47−ζ79−ζ19+ζ23+ζ47−ζ79ζ19−ζ23−ζ47+ζ7900002ζ10+2ζ38+2ζ46+2ζ742ζ10+2ζ38+2ζ46+2ζ74−2ζ10−2ζ38−2ζ46−2ζ74−ζ10−ζ38−ζ46−ζ74−2ζ10−2ζ38−2ζ46−2ζ742ζ10+2ζ38+2ζ46+2ζ74−ζ10−ζ38−ζ46−ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ7400−ζ10−ζ38−ζ46−ζ74−ζ11+ζ31−ζ59+ζ67ζ11−ζ31+ζ59−ζ67ζ11−ζ31+ζ59−ζ67−ζ11+ζ31−ζ59+ζ670000000000000000000000000
χ10244-4-2-44-222200-2−232323−2300002ζ22+2ζ34+2ζ50+2ζ622ζ22+2ζ34+2ζ50+2ζ62−2ζ22−2ζ34−2ζ50−2ζ62−ζ22−ζ34−ζ50−ζ62−2ζ22−2ζ34−2ζ50−2ζ622ζ22+2ζ34+2ζ50+2ζ62−ζ22−ζ34−ζ50−ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ6200−ζ22−ζ34−ζ50−ζ62−ζ43−ζ55+ζ71+ζ83ζ43+ζ55−ζ71−ζ83ζ43+ζ55−ζ71−ζ83−ζ43−ζ55+ζ71+ζ8300002ζ2+2ζ26+2ζ58+2ζ822ζ2+2ζ26+2ζ58+2ζ82−2ζ2−2ζ26−2ζ58−2ζ82−ζ2−ζ26−ζ58−ζ82−2ζ2−2ζ26−2ζ58−2ζ822ζ2+2ζ26+2ζ58+2ζ82−ζ2−ζ26−ζ58−ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ8200−ζ2−ζ26−ζ58−ζ82−ζ19+ζ23+ζ47−ζ79ζ19−ζ23−ζ47+ζ79ζ19−ζ23−ζ47+ζ79−ζ19+ζ23+ζ47−ζ7900002ζ10+2ζ38+2ζ46+2ζ742ζ10+2ζ38+2ζ46+2ζ74−2ζ10−2ζ38−2ζ46−2ζ74−ζ10−ζ38−ζ46−ζ74−2ζ10−2ζ38−2ζ46−2ζ742ζ10+2ζ38+2ζ46+2ζ74−ζ10−ζ38−ζ46−ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ7400−ζ10−ζ38−ζ46−ζ74ζ11−ζ31+ζ59−ζ67−ζ11+ζ31−ζ59+ζ67−ζ11+ζ31−ζ59+ζ67ζ11−ζ31+ζ59−ζ670000000000000000000000000
χ1038-80800-8000000000000004ζ22+4ζ34+4ζ50+4ζ62−4ζ22−4ζ34−4ζ50−4ζ6204ζ22+4ζ34+4ζ50+4ζ6200−4ζ22−4ζ34−4ζ50−4ζ62000000000000004ζ2+4ζ26+4ζ58+4ζ82−4ζ2−4ζ26−4ζ58−4ζ8204ζ2+4ζ26+4ζ58+4ζ8200−4ζ2−4ζ26−4ζ58−4ζ82000000000000004ζ10+4ζ38+4ζ46+4ζ74−4ζ10−4ζ38−4ζ46−4ζ7404ζ10+4ζ38+4ζ46+4ζ7400−4ζ10−4ζ38−4ζ46−4ζ7400000000000000000000000000000000000
χ1048-80-400443−430000000000004ζ22+4ζ34+4ζ50+4ζ62−4ζ22−4ζ34−4ζ50−4ζ620−2ζ22−2ζ34−2ζ50−2ζ62002ζ22+2ζ34+2ζ50+2ζ622ζ43+2ζ55−2ζ71−2ζ83−2ζ43−2ζ55+2ζ71+2ζ830000000000004ζ2+4ζ26+4ζ58+4ζ82−4ζ2−4ζ26−4ζ58−4ζ820−2ζ2−2ζ26−2ζ58−2ζ82002ζ2+2ζ26+2ζ58+2ζ822ζ19−2ζ23−2ζ47+2ζ79−2ζ19+2ζ23+2ζ47−2ζ790000000000004ζ10+4ζ38+4ζ46+4ζ74−4ζ10−4ζ38−4ζ46−4ζ740−2ζ10−2ζ38−2ζ46−2ζ74002ζ10+2ζ38+2ζ46+2ζ74−2ζ11+2ζ31−2ζ59+2ζ672ζ11−2ζ31+2ζ59−2ζ67000000000000000000000000000000000
χ1058-80-4004−43430000000000004ζ22+4ζ34+4ζ50+4ζ62−4ζ22−4ζ34−4ζ50−4ζ620−2ζ22−2ζ34−2ζ50−2ζ62002ζ22+2ζ34+2ζ50+2ζ62−2ζ43−2ζ55+2ζ71+2ζ832ζ43+2ζ55−2ζ71−2ζ830000000000004ζ2+4ζ26+4ζ58+4ζ82−4ζ2−4ζ26−4ζ58−4ζ820−2ζ2−2ζ26−2ζ58−2ζ82002ζ2+2ζ26+2ζ58+2ζ82−2ζ19+2ζ23+2ζ47−2ζ792ζ19−2ζ23−2ζ47+2ζ790000000000004ζ10+4ζ38+4ζ46+4ζ74−4ζ10−4ζ38−4ζ46−4ζ740−2ζ10−2ζ38−2ζ46−2ζ74002ζ10+2ζ38+2ζ46+2ζ742ζ11−2ζ31+2ζ59−2ζ67−2ζ11+2ζ31−2ζ59+2ζ67000000000000000000000000000000000

Here ζ is a primitive root of unity of order 84 (ζ84 = 1); i = ζ21.