Finite Group Databasebeta

← Group #10601039

Character table — Group #10601039

Order 640.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88
size1111111122222222222222222222444444444444444444444444444488888888888888888888202020202020202040404040
order1222222244445510101010101010101010101010108888202020202020202040404040404040404040404040404040444420202020202020202020202020202020444488884444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ61111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ71111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1
χ81111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111
χ9222222222222−1+52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1−522222−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000000
χ10222222222222−1+52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1−522222−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52-2-2-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52000000000000
χ11222222222222−1+52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+5222-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52000000000000
χ12222222222222−1+52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52-2-2221−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000000
χ13222222222222−1−52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1+522222−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000000
χ14222222222222−1−52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1+522222−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52-2-2-2-21+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52000000000000
χ15222222222222−1−52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−5222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52000000000000
χ16222222222222−1−52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52-2-2221+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000000
χ1722222222-2-2-2-222222222222222220000-2-2-2-2-2-2-2-200000000000000000000000000000000000022-2-200000000
χ1822222222-2-2-2-222222222222222220000-2-2-2-2-2-2-2-2000000000000000000000000000000000000-2-22200000000
χ19222-2-22-2-2000022222-2-2222-2-2-2-2-2-222−2−2000000002222−2−2−2−22222−2−2−2−2000000000000000000002-20022−2−20000
χ20222-2-22-2-2000022222-2-2222-2-2-2-2-2-222−2−2000000002222−2−2−2−22222−2−2−2−200000000000000000000-2200−2−2220000
χ21222-2-22-2-2000022222-2-2222-2-2-2-2-2-2−2−22200000000−2−2−2−22222−2−2−2−22222000000000000000000002-200−2−2220000
χ22222-2-22-2-2000022222-2-2222-2-2-2-2-2-2−2−22200000000−2−2−2−22222−2−2−2−2222200000000000000000000-220022−2−20000
χ2322-22-2-22-22-22-2222-2-22-22-2-22-2-2-22200002-2-22-2-22200000000000000000000000000000000000000002i−2i2i−2i0000
χ2422-22-2-22-22-22-2222-2-22-22-2-22-2-2-22200002-2-22-2-2220000000000000000000000000000000000000000−2i2i−2i2i0000
χ2522-22-2-22-2-22-22222-2-22-22-2-22-2-2-2222i−2i2i−2i-222-222-2-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000
χ2622-22-2-22-2-22-22222-2-22-22-2-22-2-2-222−2i2i−2i2i-222-222-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000
χ2722-22-2-22-2-22-22−1+52−1−52−1+521−521−52−1+521−52−1−521+521+52−1−521+521−521+52−1+52−1−522i−2i2i−2i1−52−1+52−1+521+52−1−52−1−521−521+52−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ140000−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36000000000000
χ2822-22-2-22-2-22-22−1+52−1−52−1+521−521−52−1+521−52−1−521+521+52−1−521+521−521+52−1+52−1−522i−2i2i−2i1−52−1+52−1+521+52−1−52−1−521−521+52−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ140000ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36000000000000
χ2922-22-2-22-2-22-22−1+52−1−52−1+521−521−52−1+521−52−1−521+521+52−1−521+521−521+52−1+52−1−52−2i2i−2i2i1−52−1+52−1+521+52−1−52−1−521−521+52ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ140000−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36000000000000
χ3022-22-2-22-2-22-22−1+52−1−52−1+521−521−52−1+521−52−1−521+521+52−1−521+521−521+52−1+52−1−52−2i2i−2i2i1−52−1+52−1+521+52−1−52−1−521−521+52ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ140000ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36000000000000
χ3122-22-2-22-2-22-22−1−52−1+52−1−521+521+52−1−521+52−1+521−521−52−1+521−521+521−52−1−52−1+522i−2i2i−2i1+52−1−52−1−521−52−1+52−1+521+521−52−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ380000ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28000000000000
χ3222-22-2-22-2-22-22−1−52−1+52−1−521+521+52−1−521+52−1+521−521−52−1+521−521+521−52−1−52−1+522i−2i2i−2i1+52−1−52−1−521−52−1+52−1+521+521−52−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ380000−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28000000000000
χ3322-22-2-22-2-22-22−1−52−1+52−1−521+521+52−1−521+52−1+521−521−52−1+521−521+521−52−1−52−1+52−2i2i−2i2i1+52−1−52−1−521−52−1+52−1+521+521−52ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ380000ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28000000000000
χ3422-22-2-22-2-22-22−1−52−1+52−1−521+521+52−1−521+52−1+521−521−52−1+521−521+521−52−1−52−1+52−2i2i−2i2i1+52−1−52−1−521−52−1+52−1+521+521−52ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ380000−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28000000000000
χ3522-2-22-2-220000222-2-2-222-2-2-2222-2-2i2−i2−i2i200000000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i200000000000000000000002-2i2−i2−i2i20000
χ3622-2-22-2-220000222-2-2-222-2-2-2222-2-2i2−i2−i2i200000000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i20000000000000000000000-22−i2i2i2−i20000
χ3722-2-22-2-220000222-2-2-222-2-2-2222-2-2−i2i2i2−i200000000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i200000000000000000000002-2−i2i2i2−i20000
χ3822-2-22-2-220000222-2-2-222-2-2-2222-2-2−i2i2i2−i200000000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i20000000000000000000000-22i2−i2−i2i20000
χ392-22-22-22-222-2-222-22-2-2-2-22-2-2-22222000022-222-2-2-200000000000000000000000000000000000000000000002i−2i
χ402-22-22-22-222-2-222-22-2-2-2-22-2-2-22222000022-222-2-2-20000000000000000000000000000000000000000000000−2i2i
χ412-22-22-22-2-2-22222-22-2-2-2-22-2-2-222220000-2-22-2-222200000000000000002-2002-22-22-22-200000000000000000000
χ422-22-22-22-2-2-22222-22-2-2-2-22-2-2-222220000-2-22-2-22220000000000000000-2200-22-22-22-2200000000000000000000
χ432-22-22-22-2-2-222−1+52−1−521−52−1+521−521−521−521+52−1−521+521+521+52−1+52−1−52−1+52−1−5200001−521−52−1+521+521+52−1−52−1+52−1−52ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ362-200−1+521−52−1+521−52−1−521+52−1−521+52ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36000000000000
χ442-22-22-22-2-2-222−1+52−1−521−52−1+521−521−521−521+52−1−521+521+521+52−1+52−1−52−1+52−1−5200001−521−52−1+521+521+52−1−52−1+52−1−52ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36-22001−52−1+521−52−1+521+52−1−521+52−1−52−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36000000000000
χ452-22-22-22-2-2-222−1+52−1−521−52−1+521−521−521−521+52−1−521+521+521+52−1+52−1−52−1+52−1−5200001−521−52−1+521+521+52−1−52−1+52−1−52−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ362-200−1+521−52−1+521−52−1−521+52−1−521+52−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36000000000000
χ462-22-22-22-2-2-222−1+52−1−521−52−1+521−521−521−521+52−1−521+521+521+52−1+52−1−52−1+52−1−5200001−521−52−1+521+521+52−1−52−1+52−1−52−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36-22001−52−1+521−52−1+521+52−1−521+52−1−52ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36000000000000
χ472-22-22-22-2-2-222−1−52−1+521+52−1−521+521+521+521−52−1+521−521−521−52−1−52−1+52−1−52−1+5200001+521+52−1−521−521−52−1+52−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ282-200−1−521+52−1−521+52−1+521−52−1+521−52−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28000000000000
χ482-22-22-22-2-2-222−1−52−1+521+52−1−521+521+521+521−52−1+521−521−521−52−1−52−1+52−1−52−1+5200001+521+52−1−521−521−52−1+52−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28-22001+52−1−521+52−1−521−52−1+521−52−1+52ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28000000000000
χ492-22-22-22-2-2-222−1−52−1+521+52−1−521+521+521+521−52−1+521−521−521−52−1−52−1+52−1−52−1+5200001+521+52−1−521−521−52−1+52−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ282-200−1−521+52−1−521+52−1+521−52−1+521−52ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28000000000000
χ502-22-22-22-2-2-222−1−52−1+521+52−1−521+521+521+521−52−1+521−521−521−52−1−52−1+52−1−52−1+5200001+521+52−1−521−521−52−1+52−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28-22001+52−1−521+52−1−521−52−1+521−52−1+52−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28000000000000
χ512-2-2-2-22222-2-2222-2-22-22-2-22-22-2-22200002-222-22-2-20000000000000000002-2000000002-2-222-2-22000000000000
χ522-2-2-2-22222-2-2222-2-22-22-2-22-22-2-22200002-222-22-2-2000000000000000000-2200000000-222-2-222-2000000000000
χ532-2-2-2-22222-2-22−1+52−1−521−521−52−1+521−52−1+521+521+52−1−521+52−1−521−521+52−1+52−1−520000−1+521−52−1+52−1−521+52−1−521−521+52−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14002-2ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−1+521−521−52−1+52−1−521+521+52−1−52000000000000
χ542-2-2-2-22222-2-22−1+52−1−521−521−52−1+521−52−1+521+521+52−1−521+52−1−521−521+52−1+52−1−520000−1+521−52−1+52−1−521+52−1−521−521+52−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ1400-22−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ141−52−1+52−1+521−521+52−1−52−1−521+52000000000000
χ552-2-2-2-22222-2-22−1+52−1−521−521−52−1+521−52−1+521+521+52−1−521+52−1−521−521+52−1+52−1−520000−1+521−52−1+52−1−521+52−1−521−521+52ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14002-2−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14−1+521−521−52−1+52−1−521+521+52−1−52000000000000
χ562-2-2-2-22222-2-22−1+52−1−521−521−52−1+521−52−1+521+521+52−1−521+52−1−521−521+52−1+52−1−520000−1+521−52−1+52−1−521+52−1−521−521+52ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ1400-22ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ141−52−1+52−1+521−521+52−1−52−1−521+52000000000000
χ572-2-2-2-22222-2-22−1−52−1+521+521+52−1−521+52−1−521−521−52−1+521−52−1+521+521−52−1−52−1+520000−1−521+52−1−52−1+521−52−1+521+521−52ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38002-2−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−1−521+521+52−1−52−1+521−521−52−1+52000000000000
χ582-2-2-2-22222-2-22−1−52−1+521+521+52−1−521+52−1−521−521−52−1+521−52−1+521+521−52−1−52−1+520000−1−521+52−1−52−1+521−52−1+521+521−52ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ3800-22ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ381+52−1−52−1−521+521−52−1+52−1+521−52000000000000
χ592-2-2-2-22222-2-22−1−52−1+521+521+52−1−521+52−1−521−521−52−1+521−52−1+521+521−52−1−52−1+520000−1−521+52−1−52−1+521−52−1+521+521−52−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38002-2ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38−1−521+521+52−1−52−1+521−521−52−1+52000000000000
χ602-2-2-2-22222-2-22−1−52−1+521+521+52−1−521+52−1−521−521−52−1+521−52−1+521+521−52−1−52−1+520000−1−521+52−1−52−1+521−52−1+521+521−52−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ3800-22−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ381+52−1−52−1−521+521−52−1+52−1+521−52000000000000
χ612-2-2-2-2222-222-222-2-22-22-2-22-22-2-2220000-22-2-22-222000000000000000000000000000000000000000000002-200
χ622-2-2-2-2222-222-222-2-22-22-2-22-22-2-2220000-22-2-22-22200000000000000000000000000000000000000000000-2200
χ6344444444-4-4-4-4−1+5−1−5−1+5−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−5−1−5−1+5−1−5−1+5−1−500001−51−51−51+51+51+51−51+5000000000000000000000000000000000000000000000000
χ6444444444-4-4-4-4−1−5−1+5−1−5−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+5−1+5−1−5−1+5−1−5−1+500001+51+51+51−51−51−51+51−5000000000000000000000000000000000000000000000000
χ65444-4-44-4-40000−1+5−1−5−1+5−1+5−1+51−51−5−1−5−1−5−1−51+51+51−51+51−51+52222−22−2200000000−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ3900000000000000000000000000000000
χ66444-4-44-4-40000−1+5−1−5−1+5−1+5−1+51−51−5−1−5−1−5−1−51+51+51−51+51−51+5−22−22222200000000ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ3900000000000000000000000000000000
χ67444-4-44-4-40000−1−5−1+5−1−5−1−5−1−51+51+5−1+5−1+5−1+51−51−51+51−51+51−52222−22−2200000000ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ3700000000000000000000000000000000
χ68444-4-44-4-40000−1−5−1+5−1−5−1−5−1−51+51+5−1+5−1+5−1+51−51−51+51−51+51−5−22−22222200000000−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ3700000000000000000000000000000000
χ6944-44-4-44-44-44-4−1+5−1−5−1+51−51−5−1+51−5−1−51+51+5−1−51+51−51+5−1+5−1−50000−1+51−51−5−1−51+51+5−1+5−1−5000000000000000000000000000000000000000000000000
χ7044-44-4-44-44-44-4−1−5−1+5−1−51+51+5−1−51+5−1+51−51−5−1+51−51+51−5−1−5−1+50000−1−51+51+5−1+51−51−5−1−5−1+5000000000000000000000000000000000000000000000000
χ7144-4-44-4-440000−1+5−1−5−1+51−51−51−5−1+5−1−51+51+51+5−1−5−1+5−1−51−51+52i2−2i2−2i22i200000000ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ3900000000000000000000000000000000
χ7244-4-44-4-440000−1+5−1−5−1+51−51−51−5−1+5−1−51+51+51+5−1−5−1+5−1−51−51+5−2i22i22i2−2i200000000−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ3900000000000000000000000000000000
χ7344-4-44-4-440000−1−5−1+5−1−51+51+51+5−1−5−1+51−51−51−5−1+5−1−5−1+51+51−52i2−2i2−2i22i200000000ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ3700000000000000000000000000000000
χ7444-4-44-4-440000−1−5−1+5−1−51+51+51+5−1−5−1+51−51−51−5−1+5−1−5−1+51+51−5−2i22i22i2−2i200000000−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ3700000000000000000000000000000000
χ754-444-4-4-44000044-44-444-44-444-4-4-4-4000000000000000000000000000000000000000000000000000000000000
χ764-444-4-4-440000−1+5−1−51−5−1+51−5−1+5−1+51+5−1−51+5−1−5−1−51−51+51−51+5000000000000−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ3900000000000000000000000000000000
χ774-444-4-4-440000−1+5−1−51−5−1+51−5−1+5−1+51+5−1−51+5−1−5−1−51−51+51−51+5000000000000ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ3900000000000000000000000000000000
χ784-444-4-4-440000−1−5−1+51+5−1−51+5−1−5−1−51−5−1+51−5−1+5−1+51+51−51+51−5000000000000−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ3700000000000000000000000000000000
χ794-444-4-4-440000−1−5−1+51+5−1−51+5−1−5−1−51−5−1+51−5−1+5−1+51+51−51+51−5000000000000ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ3700000000000000000000000000000000
χ804-44-44-44-444-4-4−1+5−1−51−5−1+51−51−51−51+5−1−51+51+51+5−1+5−1−5−1+5−1−50000−1+5−1+51−5−1−5−1−51+51−51+5000000000000000000000000000000000000000000000000
χ814-44-44-44-444-4-4−1−5−1+51+5−1−51+51+51+51−5−1+51−51−51−5−1−5−1+5−1−5−1+50000−1−5−1−51+5−1+5−1+51−51+51−5000000000000000000000000000000000000000000000000
χ824-4-4444-4-4000044-4-444-4-4-444-444-4-4000000000000000000000000000000000000000000000000000000000000
χ834-4-4444-4-40000−1+5−1−51−51−5−1+5−1+51−51+51+5−1−5−1−51+5−1+5−1−51−51+5000000000000ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ3900000000000000000000000000000000
χ844-4-4444-4-40000−1+5−1−51−51−5−1+5−1+51−51+51+5−1−5−1−51+5−1+5−1−51−51+5000000000000−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ3900000000000000000000000000000000
χ854-4-4444-4-40000−1−5−1+51+51+5−1−5−1−51+51−51−5−1+5−1+51−5−1−5−1+51+51−5000000000000−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ3700000000000000000000000000000000
χ864-4-4444-4-40000−1−5−1+51+51+5−1−5−1−51+51−51−5−1+5−1+51−5−1−5−1+51+51−5000000000000ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ3700000000000000000000000000000000
χ874-4-4-4-4444-444-4−1+5−1−51−51−5−1+51−5−1+51+51+5−1−51+5−1−51−51+5−1+5−1−500001−5−1+51−51+5−1−51+5−1+5−1−5000000000000000000000000000000000000000000000000
χ884-4-4-4-4444-444-4−1−5−1+51+51+5−1−51+5−1−51−51−5−1+51−5−1+51+51−5−1−5−1+500001+5−1−51+51−5−1+51−5−1−5−1+5000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.