Finite Group Databasebeta

← Group #14313330

Character table — Group #14313330

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size112224444444444668888888888888888888888881220202424242424242424244040404040404060608080808080120120120120120
order1223625610101010101010444612121520202020303030303030306060606060606060424420202020202020204446881224121212242444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-11-1-11111-1-1-1-11-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1111111111-1i−i-1i−i-1-1-1-1i−ii−i-1i−ii−i
χ4111111111111111111111111111111111111111111-1-1111111111-1−ii-1−ii-1-1-1-1−ii−ii-1−ii−ii
χ511111111111111111-11-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1111-11111-1-1-1-1-1111-1-1111-111-1-1-111-1-1
χ611111111111111111-11-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1111-11111-1-1-1-1-1-1-1111111-1-1-111-1-1-111
χ711111111111111111-11-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-11i−i-1−ii-1-1-11i−i−ii1i−i−ii
χ811111111111111111-11-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-11−ii-1i−i-1-1-11−iii−i1−iii−i
χ9111111111111111-1-1111111111111111111111111-111-1-1-1-1-1-1-1-1-11111111-1-111111-1-1-1-1-1
χ10111111111111111-1-1111111111111111111111111-111-1-1-1-1-1-1-1-1-11-1-11-1-11-1-11-1-1-1-1-11111
χ11111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1i−i-1i−i-111-1i−ii−i1−ii−ii
χ12111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1−ii-1−ii-111-1−ii−ii1i−ii−i
χ13111111111111111-1-1-11-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1111-1-11-1-1-111-1-11-1-111
χ14111111111111111-1-1-11-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-11111-1-1-1-1-111111-1-1
χ15111111111111111-1-1-11-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111i−i-1−ii-1111i−i−ii-1−iii−i
χ16111111111111111-1-1-11-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111−ii-1i−i-1111−iii−i-1i−i−ii
χ1722222-22222-2-2-2-22220-2002000022-2-2-2-2200000000-22-2022-2-20000000200-2-220000000000
χ1822222-22222-2-2-2-22220-2002000022-2-2-2-2200000000-2-22022-2-20000000-20022-20000000000
χ1922222-22222-2-2-2-22-2-20-2002000022-2-2-2-220000000022-20-2-2220000000200-22-20000000000
χ2022222-22222-2-2-2-22-2-20-2002000022-2-2-2-22000000002-220-2-2220000000-2002-220000000000
χ21222-1-122-12222222002-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1022000000000222-122-100-1-1-1-1-100000
χ22222-1-122-12222222002-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10220000000002-2-2-1-2-2-100-1111100000
χ23222-1-122-12222222002-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10-2-2000000000-22i−2i12i−2i1001−ii−ii00000
χ24222-1-122-12222222002-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10-2-2000000000-2−2i2i1−2i2i1001i−ii−i00000
χ25222-1-122-1222222200-2-111-1-2-2-2-2-1-1-1-1-1-1-111111111022000000000-222-1-2-2-1001-1-11100000
χ26222-1-122-1222222200-2-111-1-2-2-2-2-1-1-1-1-1-1-111111111022000000000-2-2-2-122-100111-1-100000
χ27222-1-122-1222222200-2-111-1-2-2-2-2-1-1-1-1-1-1-1111111110-2-200000000022i−2i1−2i2i100-1−iii−i00000
χ28222-1-122-1222222200-2-111-1-2-2-2-2-1-1-1-1-1-1-1111111110-2-20000000002−2i2i12i−2i100-1i−i−ii00000
χ29444444-14-1-1-1-1-1-1-1444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14004-1-1-1-1-1-1-1-10000000000000000000
χ30444444-14-1-1-1-1-1-1-144-44-4-4-11111-1-1-1-1-1-1-111111111400-4-1-1-1-111110000000000000000000
χ31444444-14-1-1-1-1-1-1-1-4-44444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-400-4111111110000000000000000000
χ32444444-14-1-1-1-1-1-1-1-4-4-44-4-4-11111-1-1-1-1-1-1-111111111-40041111-1-1-1-10000000000000000000
χ3344444-4-14-1-11111-1440-400-1−5−555-1-11111-1−5−5−5−55555-4000-1-111−5−5550000000000000000000
χ3444444-4-14-1-11111-1440-400-155−5−5-1-11111-15555−5−5−5−5-4000-1-11155−5−50000000000000000000
χ3544444-4-14-1-11111-1-4-40-400-1−5−555-1-11111-1−5−5−5−55555400011-1-155−5−50000000000000000000
χ3644444-4-14-1-11111-1-4-40-400-155−5−5-1-11111-15555−5−5−5−5400011-1-1−5−5550000000000000000000
χ37444-2-2-44-244-4-4-4-44000200-20000-2-22222-20000000004-4000000000000-2002000000000000
χ38444-2-2-44-244-4-4-4-44000200-20000-2-22222-2000000000-44000000000000200-2000000000000
χ3944-44404-4-4-4000044-4000040000-4-4000040000000000004-40000000000000000000000000
χ4044-44404-4-4-400004-44000040000-4-400004000000000000-440000000000000000000000000
χ4144-4440-1-411−5−555-14-40000-1ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ5811−5−555-1ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ580000-11−55ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ580000000000000000000
χ4244-4440-1-411−5−555-14-40000-1−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ5811−5−555-1−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ580000-11−55−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ580000000000000000000
χ4344-4440-1-411−5−555-1-440000-1ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ5811−5−555-1ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ5800001-15−5−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ580000000000000000000
χ4444-4440-1-411−5−555-1-440000-1−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ5811−5−555-1−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ5800001-15−5ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ580000000000000000000
χ4544-4440-1-41155−5−5-14-40000-1ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ581155−5−5-1ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ580000-115−5ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ580000000000000000000
χ4644-4440-1-41155−5−5-14-40000-1−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ581155−5−5-1−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ580000-115−5−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ580000000000000000000
χ4744-4440-1-41155−5−5-1-440000-1ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ581155−5−5-1ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ5800001-1−55−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ580000000000000000000
χ4844-4440-1-41155−5−5-1-440000-1−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ581155−5−5-1−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ5800001-1−55ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ580000000000000000000
χ49888-4-48-2-4-2-2-2-2-2-2-2008-4-4-41-2-2-2-21111111111111110000000000000000000000000000000
χ50888-4-48-2-4-2-2-2-2-2-2-200-8-444122221111111-1-1-1-1-1-1-1-10000000000000000000000000000000
χ51888-4-4-8-2-4-2-22222-20004001−25−25252511-1-1-1-115555−5−5−5−50000000000000000000000000000000
χ52888-4-4-8-2-4-2-22222-200040012525−25−2511-1-1-1-11−5−5−5−555550000000000000000000000000000000
χ5388-8-4-4084-8-800008000000-40000440000-4000000000000000000000000000000000000000
χ5488-8-4-40-2422−25−252525-200000012ζ2−2ζ14+2ζ22+2ζ26−2ζ34−2ζ38+2ζ46−2ζ58−2ζ2+2ζ14−2ζ22−2ζ26+2ζ34+2ζ38−2ζ46+2ζ582ζ2+2ζ14+2ζ22−2ζ26+2ζ34−2ζ38−2ζ46−2ζ58−2ζ2−2ζ14−2ζ22+2ζ26−2ζ34+2ζ38+2ζ46+2ζ58-1-155−5−51−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ580000000000000000000000000000000
χ5588-8-4-40-2422−25−252525-20000001−2ζ2+2ζ14−2ζ22−2ζ26+2ζ34+2ζ38−2ζ46+2ζ582ζ2−2ζ14+2ζ22+2ζ26−2ζ34−2ζ38+2ζ46−2ζ58−2ζ2−2ζ14−2ζ22+2ζ26−2ζ34+2ζ38+2ζ46+2ζ582ζ2+2ζ14+2ζ22−2ζ26+2ζ34−2ζ38−2ζ46−2ζ58-1-155−5−51ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ580000000000000000000000000000000
χ5688-8-4-40-24222525−25−25-200000012ζ2+2ζ14+2ζ22−2ζ26+2ζ34−2ζ38−2ζ46−2ζ58−2ζ2−2ζ14−2ζ22+2ζ26−2ζ34+2ζ38+2ζ46+2ζ58−2ζ2+2ζ14−2ζ22−2ζ26+2ζ34+2ζ38−2ζ46+2ζ582ζ2−2ζ14+2ζ22+2ζ26−2ζ34−2ζ38+2ζ46−2ζ58-1-1−5−5551−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ580000000000000000000000000000000
χ5788-8-4-40-24222525−25−25-20000001−2ζ2−2ζ14−2ζ22+2ζ26−2ζ34+2ζ38+2ζ46+2ζ582ζ2+2ζ14+2ζ22−2ζ26+2ζ34−2ζ38−2ζ46−2ζ582ζ2−2ζ14+2ζ22+2ζ26−2ζ34−2ζ38+2ζ46−2ζ58−2ζ2+2ζ14−2ζ22−2ζ26+2ζ34+2ζ38−2ζ46+2ζ58-1-1−5−5551ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ580000000000000000000000000000000
χ588-808-8080000000-800000080000000000-8000000000000000000000000000000000000000
χ598-808-80-20−25252ζ2−2ζ14+2ζ22+2ζ26−2ζ34−2ζ38+2ζ46−2ζ58−2ζ2+2ζ14−2ζ22−2ζ26+2ζ34+2ζ38−2ζ46+2ζ582ζ2+2ζ14+2ζ22−2ζ26+2ζ34−2ζ38−2ζ46−2ζ58−2ζ2−2ζ14−2ζ22+2ζ26−2ζ34+2ζ38+2ζ46+2ζ582000000-20000−25252ζ2−2ζ14+2ζ22+2ζ26−2ζ34−2ζ38+2ζ46−2ζ58−2ζ2+2ζ14−2ζ22−2ζ26+2ζ34+2ζ38−2ζ46+2ζ582ζ2+2ζ14+2ζ22−2ζ26+2ζ34−2ζ38−2ζ46−2ζ58−2ζ2−2ζ14−2ζ22+2ζ26−2ζ34+2ζ38+2ζ46+2ζ582000000000000000000000000000000000000000
χ608-808-80-20−2525−2ζ2+2ζ14−2ζ22−2ζ26+2ζ34+2ζ38−2ζ46+2ζ582ζ2−2ζ14+2ζ22+2ζ26−2ζ34−2ζ38+2ζ46−2ζ58−2ζ2−2ζ14−2ζ22+2ζ26−2ζ34+2ζ38+2ζ46+2ζ582ζ2+2ζ14+2ζ22−2ζ26+2ζ34−2ζ38−2ζ46−2ζ582000000-20000−2525−2ζ2+2ζ14−2ζ22−2ζ26+2ζ34+2ζ38−2ζ46+2ζ582ζ2−2ζ14+2ζ22+2ζ26−2ζ34−2ζ38+2ζ46−2ζ58−2ζ2−2ζ14−2ζ22+2ζ26−2ζ34+2ζ38+2ζ46+2ζ582ζ2+2ζ14+2ζ22−2ζ26+2ζ34−2ζ38−2ζ46−2ζ582000000000000000000000000000000000000000
χ618-808-80-2025−252ζ2+2ζ14+2ζ22−2ζ26+2ζ34−2ζ38−2ζ46−2ζ58−2ζ2−2ζ14−2ζ22+2ζ26−2ζ34+2ζ38+2ζ46+2ζ58−2ζ2+2ζ14−2ζ22−2ζ26+2ζ34+2ζ38−2ζ46+2ζ582ζ2−2ζ14+2ζ22+2ζ26−2ζ34−2ζ38+2ζ46−2ζ582000000-2000025−252ζ2+2ζ14+2ζ22−2ζ26+2ζ34−2ζ38−2ζ46−2ζ58−2ζ2−2ζ14−2ζ22+2ζ26−2ζ34+2ζ38+2ζ46+2ζ58−2ζ2+2ζ14−2ζ22−2ζ26+2ζ34+2ζ38−2ζ46+2ζ582ζ2−2ζ14+2ζ22+2ζ26−2ζ34−2ζ38+2ζ46−2ζ582000000000000000000000000000000000000000
χ628-808-80-2025−25−2ζ2−2ζ14−2ζ22+2ζ26−2ζ34+2ζ38+2ζ46+2ζ582ζ2+2ζ14+2ζ22−2ζ26+2ζ34−2ζ38−2ζ46−2ζ582ζ2−2ζ14+2ζ22+2ζ26−2ζ34−2ζ38+2ζ46−2ζ58−2ζ2+2ζ14−2ζ22−2ζ26+2ζ34+2ζ38−2ζ46+2ζ582000000-2000025−25−2ζ2−2ζ14−2ζ22+2ζ26−2ζ34+2ζ38+2ζ46+2ζ582ζ2+2ζ14+2ζ22−2ζ26+2ζ34−2ζ38−2ζ46−2ζ582ζ2−2ζ14+2ζ22+2ζ26−2ζ34−2ζ38+2ζ46−2ζ58−2ζ2+2ζ14−2ζ22−2ζ26+2ζ34+2ζ38−2ζ46+2ζ582000000000000000000000000000000000000000
χ638-80-44080000000-8000023−23-40000000000423−2323−2323−2323−230000000000000000000000000000000
χ648-80-44080000000-80000−2323-400000000004−2323−2323−2323−23230000000000000000000000000000000
χ658-80-440-20−25252ζ2−2ζ14+2ζ22+2ζ26−2ζ34−2ζ38+2ζ46−2ζ58−2ζ2+2ζ14−2ζ22−2ζ26+2ζ34+2ζ38−2ζ46+2ζ582ζ2+2ζ14+2ζ22−2ζ26+2ζ34−2ζ38−2ζ46−2ζ58−2ζ2−2ζ14−2ζ22+2ζ26−2ζ34+2ζ38+2ζ46+2ζ582000023−23100005−5−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58-1ζ7−ζ11+ζ19+ζ23+ζ31−ζ43−ζ47−ζ59−ζ7+ζ11−ζ19−ζ23−ζ31+ζ43+ζ47+ζ59−ζ7−ζ11+ζ19−ζ23+ζ31+ζ43+ζ47−ζ59ζ7+ζ11−ζ19+ζ23−ζ31−ζ43−ζ47+ζ59ζ7+ζ11+ζ19−ζ23−ζ31+ζ43−ζ47−ζ59−ζ7−ζ11−ζ19+ζ23+ζ31−ζ43+ζ47+ζ59ζ7−ζ11−ζ19−ζ23+ζ31+ζ43−ζ47+ζ59−ζ7+ζ11+ζ19+ζ23−ζ31−ζ43+ζ47−ζ590000000000000000000000000000000
χ668-80-440-20−25252ζ2−2ζ14+2ζ22+2ζ26−2ζ34−2ζ38+2ζ46−2ζ58−2ζ2+2ζ14−2ζ22−2ζ26+2ζ34+2ζ38−2ζ46+2ζ582ζ2+2ζ14+2ζ22−2ζ26+2ζ34−2ζ38−2ζ46−2ζ58−2ζ2−2ζ14−2ζ22+2ζ26−2ζ34+2ζ38+2ζ46+2ζ5820000−2323100005−5−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58-1−ζ7+ζ11−ζ19−ζ23−ζ31+ζ43+ζ47+ζ59ζ7−ζ11+ζ19+ζ23+ζ31−ζ43−ζ47−ζ59ζ7+ζ11−ζ19+ζ23−ζ31−ζ43−ζ47+ζ59−ζ7−ζ11+ζ19−ζ23+ζ31+ζ43+ζ47−ζ59−ζ7−ζ11−ζ19+ζ23+ζ31−ζ43+ζ47+ζ59ζ7+ζ11+ζ19−ζ23−ζ31+ζ43−ζ47−ζ59−ζ7+ζ11+ζ19+ζ23−ζ31−ζ43+ζ47−ζ59ζ7−ζ11−ζ19−ζ23+ζ31+ζ43−ζ47+ζ590000000000000000000000000000000
χ678-80-440-20−2525−2ζ2+2ζ14−2ζ22−2ζ26+2ζ34+2ζ38−2ζ46+2ζ582ζ2−2ζ14+2ζ22+2ζ26−2ζ34−2ζ38+2ζ46−2ζ58−2ζ2−2ζ14−2ζ22+2ζ26−2ζ34+2ζ38+2ζ46+2ζ582ζ2+2ζ14+2ζ22−2ζ26+2ζ34−2ζ38−2ζ46−2ζ582000023−23100005−5ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58-1−ζ7−ζ11+ζ19−ζ23+ζ31+ζ43+ζ47−ζ59ζ7+ζ11−ζ19+ζ23−ζ31−ζ43−ζ47+ζ59ζ7−ζ11+ζ19+ζ23+ζ31−ζ43−ζ47−ζ59−ζ7+ζ11−ζ19−ζ23−ζ31+ζ43+ζ47+ζ59ζ7−ζ11−ζ19−ζ23+ζ31+ζ43−ζ47+ζ59−ζ7+ζ11+ζ19+ζ23−ζ31−ζ43+ζ47−ζ59ζ7+ζ11+ζ19−ζ23−ζ31+ζ43−ζ47−ζ59−ζ7−ζ11−ζ19+ζ23+ζ31−ζ43+ζ47+ζ590000000000000000000000000000000
χ688-80-440-20−2525−2ζ2+2ζ14−2ζ22−2ζ26+2ζ34+2ζ38−2ζ46+2ζ582ζ2−2ζ14+2ζ22+2ζ26−2ζ34−2ζ38+2ζ46−2ζ58−2ζ2−2ζ14−2ζ22+2ζ26−2ζ34+2ζ38+2ζ46+2ζ582ζ2+2ζ14+2ζ22−2ζ26+2ζ34−2ζ38−2ζ46−2ζ5820000−2323100005−5ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58-1ζ7+ζ11−ζ19+ζ23−ζ31−ζ43−ζ47+ζ59−ζ7−ζ11+ζ19−ζ23+ζ31+ζ43+ζ47−ζ59−ζ7+ζ11−ζ19−ζ23−ζ31+ζ43+ζ47+ζ59ζ7−ζ11+ζ19+ζ23+ζ31−ζ43−ζ47−ζ59−ζ7+ζ11+ζ19+ζ23−ζ31−ζ43+ζ47−ζ59ζ7−ζ11−ζ19−ζ23+ζ31+ζ43−ζ47+ζ59−ζ7−ζ11−ζ19+ζ23+ζ31−ζ43+ζ47+ζ59ζ7+ζ11+ζ19−ζ23−ζ31+ζ43−ζ47−ζ590000000000000000000000000000000
χ698-80-440-2025−252ζ2+2ζ14+2ζ22−2ζ26+2ζ34−2ζ38−2ζ46−2ζ58−2ζ2−2ζ14−2ζ22+2ζ26−2ζ34+2ζ38+2ζ46+2ζ58−2ζ2+2ζ14−2ζ22−2ζ26+2ζ34+2ζ38−2ζ46+2ζ582ζ2−2ζ14+2ζ22+2ζ26−2ζ34−2ζ38+2ζ46−2ζ582000023−2310000−55−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58-1ζ7+ζ11+ζ19−ζ23−ζ31+ζ43−ζ47−ζ59−ζ7−ζ11−ζ19+ζ23+ζ31−ζ43+ζ47+ζ59ζ7−ζ11−ζ19−ζ23+ζ31+ζ43−ζ47+ζ59−ζ7+ζ11+ζ19+ζ23−ζ31−ζ43+ζ47−ζ59−ζ7−ζ11+ζ19−ζ23+ζ31+ζ43+ζ47−ζ59ζ7+ζ11−ζ19+ζ23−ζ31−ζ43−ζ47+ζ59ζ7−ζ11+ζ19+ζ23+ζ31−ζ43−ζ47−ζ59−ζ7+ζ11−ζ19−ζ23−ζ31+ζ43+ζ47+ζ590000000000000000000000000000000
χ708-80-440-2025−252ζ2+2ζ14+2ζ22−2ζ26+2ζ34−2ζ38−2ζ46−2ζ58−2ζ2−2ζ14−2ζ22+2ζ26−2ζ34+2ζ38+2ζ46+2ζ58−2ζ2+2ζ14−2ζ22−2ζ26+2ζ34+2ζ38−2ζ46+2ζ582ζ2−2ζ14+2ζ22+2ζ26−2ζ34−2ζ38+2ζ46−2ζ5820000−232310000−55−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58-1−ζ7−ζ11−ζ19+ζ23+ζ31−ζ43+ζ47+ζ59ζ7+ζ11+ζ19−ζ23−ζ31+ζ43−ζ47−ζ59−ζ7+ζ11+ζ19+ζ23−ζ31−ζ43+ζ47−ζ59ζ7−ζ11−ζ19−ζ23+ζ31+ζ43−ζ47+ζ59ζ7+ζ11−ζ19+ζ23−ζ31−ζ43−ζ47+ζ59−ζ7−ζ11+ζ19−ζ23+ζ31+ζ43+ζ47−ζ59−ζ7+ζ11−ζ19−ζ23−ζ31+ζ43+ζ47+ζ59ζ7−ζ11+ζ19+ζ23+ζ31−ζ43−ζ47−ζ590000000000000000000000000000000
χ718-80-440-2025−25−2ζ2−2ζ14−2ζ22+2ζ26−2ζ34+2ζ38+2ζ46+2ζ582ζ2+2ζ14+2ζ22−2ζ26+2ζ34−2ζ38−2ζ46−2ζ582ζ2−2ζ14+2ζ22+2ζ26−2ζ34−2ζ38+2ζ46−2ζ58−2ζ2+2ζ14−2ζ22−2ζ26+2ζ34+2ζ38−2ζ46+2ζ582000023−2310000−55ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58-1ζ7−ζ11−ζ19−ζ23+ζ31+ζ43−ζ47+ζ59−ζ7+ζ11+ζ19+ζ23−ζ31−ζ43+ζ47−ζ59ζ7+ζ11+ζ19−ζ23−ζ31+ζ43−ζ47−ζ59−ζ7−ζ11−ζ19+ζ23+ζ31−ζ43+ζ47+ζ59ζ7−ζ11+ζ19+ζ23+ζ31−ζ43−ζ47−ζ59−ζ7+ζ11−ζ19−ζ23−ζ31+ζ43+ζ47+ζ59−ζ7−ζ11+ζ19−ζ23+ζ31+ζ43+ζ47−ζ59ζ7+ζ11−ζ19+ζ23−ζ31−ζ43−ζ47+ζ590000000000000000000000000000000
χ728-80-440-2025−25−2ζ2−2ζ14−2ζ22+2ζ26−2ζ34+2ζ38+2ζ46+2ζ582ζ2+2ζ14+2ζ22−2ζ26+2ζ34−2ζ38−2ζ46−2ζ582ζ2−2ζ14+2ζ22+2ζ26−2ζ34−2ζ38+2ζ46−2ζ58−2ζ2+2ζ14−2ζ22−2ζ26+2ζ34+2ζ38−2ζ46+2ζ5820000−232310000−55ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58-1−ζ7+ζ11+ζ19+ζ23−ζ31−ζ43+ζ47−ζ59ζ7−ζ11−ζ19−ζ23+ζ31+ζ43−ζ47+ζ59−ζ7−ζ11−ζ19+ζ23+ζ31−ζ43+ζ47+ζ59ζ7+ζ11+ζ19−ζ23−ζ31+ζ43−ζ47−ζ59−ζ7+ζ11−ζ19−ζ23−ζ31+ζ43+ζ47+ζ59ζ7−ζ11+ζ19+ζ23+ζ31−ζ43−ζ47−ζ59ζ7+ζ11−ζ19+ζ23−ζ31−ζ43−ζ47+ζ59−ζ7−ζ11+ζ19−ζ23+ζ31+ζ43+ζ47−ζ590000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.