Finite Group Databasebeta

← Group #13103733

Character table — Group #13103733

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85
size11222224444444445555558888810101010101010101010101010101010101616161616161620202020202020202020202020202020202020202020404050505050505080100100100
order12455101025101010101020204488885510102028888202020204040404040404040101010101020204488101020202020404040404040404040404040404044448820288
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-11111111111111111111111-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ4111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111-1-1ii−i−i11111-111i−i-1-1-1-1iiii−i−i−i−i1111111-11i−i-1-1-1-1-1-1iiiiii−i−i−i−i−i−i11ii−i−i-1-11-1i−i
χ61111111111111111-1-1ii−i−i11111-1-1-1i−i-1-1-1-1iiii−i−i−i−i1111111-1-1i−i-1-1-1-1-1-1iiiiii−i−i−i−i−i−i-1-1−i−iii11-11−ii
χ71111111111111111-1-1−i−iii11111-111−ii-1-1-1-1−i−i−i−iiiii1111111-11−ii-1-1-1-1-1-1−i−i−i−i−i−iiiiiii11−i−iii-1-11-1−ii
χ81111111111111111-1-1−i−iii11111-1-1-1−ii-1-1-1-1−i−i−i−iiiii1111111-1-1−ii-1-1-1-1-1-1−i−i−i−i−i−iiiiiii-1-1ii−i−i11-11i−i
χ91111111-11-1-1-1-11111111111111111111111111111111-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1
χ101111111-11-1-1-1-1111111111111111-1-111111111111111-1-1-1-1-111-11-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ111111111-11-1-1-1-111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1111111-1-1-1-111-1-111
χ121111111-11-1-1-1-111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-111111-1-1-1-1-1-11111-1-11111-1-11111-1-111-1-1
χ131111111-11-1-1-1-1111-1-1ii−i−i11111-111i−i-1-1-1-1iiii−i−i−i−i-1-1-1-1-1111-1−ii-1-11111ii−i−i−i−i−i−iiiii11ii−i−i-1-1-11−ii
χ141111111-11-1-1-1-1111-1-1ii−i−i11111-1-1-1i−i-1-1-1-1iiii−i−i−i−i-1-1-1-1-11111−ii-1-11111ii−i−i−i−i−i−iiiii-1-1−i−iii111-1i−i
χ151111111-11-1-1-1-1111-1-1−i−iii11111-111−ii-1-1-1-1−i−i−i−iiiii-1-1-1-1-1111-1i−i-1-11111−i−iiiiiii−i−i−i−i11−i−iii-1-1-11i−i
χ161111111-11-1-1-1-1111-1-1−i−iii11111-1-1-1−ii-1-1-1-1−i−i−i−iiiii-1-1-1-1-11111i−i-1-11111−i−iiiiiii−i−i−i−i-1-1ii−i−i111-1−ii
χ17222−1+52−1−52−1+52−1−5222−1+52−1+52−1−52−1−522−1+52−1−52222222−1+52−1−52−1+52−1−52220022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1−522022−1+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+52−1−52−1−52000000000000
χ18222−1+52−1−52−1+52−1−5222−1+52−1+52−1−52−1−522−1+52−1−5222-2-2-2-2−1+52−1−52−1+52−1−522200-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+522−1+52−1+52−1−52−1−52−1+52−1−5220-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521−521+521+521−521+521−521−521+521+52000000000000
χ19222−1+52−1−52−1+52−1−5222−1+52−1+52−1−52−1−522−1+52−1−52-2-22i2i−2i−2i−1+52−1−52−1+52−1−522-2002i−2i1−521−521+521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ142−1+52−1+52−1−52−1−52−1+52−1−52-202i−2i1−521+521−521−521+521+52−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14000000000000
χ20222−1+52−1−52−1+52−1−5222−1+52−1+52−1−52−1−522−1+52−1−52-2-2−2i−2i2i2i−1+52−1−52−1+52−1−522-200−2i2i1−521−521+521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ142−1+52−1+52−1−52−1−52−1+52−1−52-20−2i2i1−521+521−521−521+521+52ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14000000000000
χ21222−1+52−1−52−1+52−1−52-221−521−521+521+522−1+52−1−52222222−1+52−1−52−1+52−1−52220022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-21−521−521+521+52−1+52−1−52-20-2-2−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52000000000000
χ22222−1+52−1−52−1+52−1−52-221−521−521+521+522−1+52−1−5222-2-2-2-2−1+52−1−52−1+52−1−522200-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52-21−521−521+521+52−1+52−1−52-2022−1+52−1−521−521−521+521+521−521+52−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−52000000000000
χ23222−1+52−1−52−1+52−1−52-221−521−521+521+522−1+52−1−52-2-22i2i−2i−2i−1+52−1−52−1+52−1−522-2002i−2i1−521−521+521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14-21−521−521+521+52−1+52−1−5220−2i2i1−521+52−1+52−1+52−1−52−1−52−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14000000000000
χ24222−1+52−1−52−1+52−1−52-221−521−521+521+522−1+52−1−52-2-2−2i−2i2i2i−1+52−1−52−1+52−1−522-200−2i2i1−521−521+521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14-21−521−521+521+52−1+52−1−52202i−2i1−521+52−1+52−1+52−1−52−1−52ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14000000000000
χ25222−1−52−1+52−1−52−1+5222−1−52−1−52−1+52−1+522−1−52−1+52222222−1−52−1+52−1−52−1+52220022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1+522022−1−52−1+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+52000000000000
χ26222−1−52−1+52−1−52−1+5222−1−52−1−52−1+52−1+522−1−52−1+5222-2-2-2-2−1−52−1+52−1−52−1+522200-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−522−1−52−1−52−1+52−1+52−1−52−1+5220-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521−521+521+521−521−521+521−521+521+521−521−52000000000000
χ27222−1−52−1+52−1−52−1+5222−1−52−1−52−1+52−1+522−1−52−1+52-2-22i2i−2i−2i−1−52−1+52−1−52−1+522-2002i−2i1+521+521−521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ382−1−52−1−52−1+52−1+52−1−52−1+52-202i−2i1+521−521+521+521−521−52−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38000000000000
χ28222−1−52−1+52−1−52−1+5222−1−52−1−52−1+52−1+522−1−52−1+52-2-2−2i−2i2i2i−1−52−1+52−1−52−1+522-200−2i2i1+521+521−521−52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ382−1−52−1−52−1+52−1+52−1−52−1+52-20−2i2i1+521−521+521+521−521−52ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38000000000000
χ29222−1−52−1+52−1−52−1+52-221+521+521−521−522−1−52−1+52222222−1−52−1+52−1−52−1+52220022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-21+521+521−521−52−1−52−1+52-20-2-2−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52000000000000
χ30222−1−52−1+52−1−52−1+52-221+521+521−521−522−1−52−1+5222-2-2-2-2−1−52−1+52−1−52−1+522200-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52-21+521+521−521−52−1−52−1+52-2022−1−52−1+521+521+521−521−521+521−52−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+52000000000000
χ31222−1−52−1+52−1−52−1+52-221+521+521−521−522−1−52−1+52-2-22i2i−2i−2i−1−52−1+52−1−52−1+522-2002i−2i1+521+521−521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38-21+521+521−521−52−1−52−1+5220−2i2i1+521−52−1−52−1−52−1+52−1+52−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38000000000000
χ32222−1−52−1+52−1−52−1+52-221+521+521−521−522−1−52−1+52-2-2−2i−2i2i2i−1−52−1+52−1−52−1+522-200−2i2i1+521+521−521−52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38-21+521+521−521−52−1−52−1+52202i−2i1+521−52−1−52−1−52−1+52−1+52ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38000000000000
χ3322-222220200002-2-22222222222-2-200-2-222222222222200000-2-20000-2-20000-2-20000-2-20000000000000000
χ3422-222220200002-2-222-2-2-2-22222-2-200222222-2-2-2-2-2-2-2-200000-2-20000-2-20000220000220000000000000000
χ3522-222220200002-2-2-2-22i2i−2i−2i2222-2200−2i2i-2-2-2-22i2i2i2i−2i−2i−2i−2i00000-2-20000220000−2i−2i00002i2i0000000000000000
χ3622-222220200002-2-2-2-2−2i−2i2i2i2222-22002i−2i-2-2-2-2−2i−2i−2i−2i2i2i2i2i00000-2-200002200002i2i0000−2i−2i0000000000000000
χ3722-2−1+52−1−52−1+52−1−5202ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3621−521+52222222−1+52−1−52−1+52−1−52-2-200-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+5200001−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000
χ3822-2−1+52−1−52−1+52−1−5202ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3621−521+5222-2-2-2-2−1+52−1−52−1+52−1−52-2-20022−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+5200001−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000
χ3922-2−1+52−1−52−1+52−1−5202ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3621−521+52-2-22i2i−2i−2i−1+52−1−52−1+52−1−52-2200−2i2i1−521−521+521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ140ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+520000−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ22+ζ38ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14000000000000
χ4022-2−1+52−1−52−1+52−1−5202ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3621−521+52-2-2−2i−2i2i2i−1+52−1−52−1+52−1−52-22002i−2i1−521−521+521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ140ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+520000−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ22−ζ38−ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14000000000000
χ4122-2−1+52−1−52−1+52−1−5202−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3621−521+52222222−1+52−1−52−1+52−1−52-2-200-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+5200001−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000
χ4222-2−1+52−1−52−1+52−1−5202−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3621−521+5222-2-2-2-2−1+52−1−52−1+52−1−52-2-20022−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+5200001−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000
χ4322-2−1+52−1−52−1+52−1−5202−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3621−521+52-2-22i2i−2i−2i−1+52−1−52−1+52−1−52-2200−2i2i1−521−521+521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ140−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+520000−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ22+ζ38ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14000000000000
χ4422-2−1+52−1−52−1+52−1−5202−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3621−521+52-2-2−2i−2i2i2i−1+52−1−52−1+52−1−52-22002i−2i1−521−521+521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ140−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+520000−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ22−ζ38−ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14000000000000
χ4522-2−1−52−1+52−1−52−1+5202−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2821+521−52222222−1−52−1+52−1−52−1+52-2-200-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−5200001+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000000
χ4622-2−1−52−1+52−1−52−1+5202−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2821+521−5222-2-2-2-2−1−52−1+52−1−52−1+52-2-20022−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−5200001+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000000
χ4722-2−1−52−1+52−1−52−1+5202−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2821+521−52-2-22i2i−2i−2i−1−52−1+52−1−52−1+52-2200−2i2i1+521+521−521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ380−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−520000−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ6+ζ14ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38000000000000
χ4822-2−1−52−1+52−1−52−1+5202−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2821+521−52-2-2−2i−2i2i2i−1−52−1+52−1−52−1+52-22002i−2i1+521+521−521−52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ380−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−520000−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ6−ζ14−ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38000000000000
χ4922-2−1−52−1+52−1−52−1+5202ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2821+521−52222222−1−52−1+52−1−52−1+52-2-200-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−5200001+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000000
χ5022-2−1−52−1+52−1−52−1+5202ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2821+521−5222-2-2-2-2−1−52−1+52−1−52−1+52-2-20022−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−5200001+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000000
χ5122-2−1−52−1+52−1−52−1+5202ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2821+521−52-2-22i2i−2i−2i−1−52−1+52−1−52−1+52-2200−2i2i1+521+521−521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ380ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−520000−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ6+ζ14ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6−ζ14−ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38000000000000
χ5222-2−1−52−1+52−1−52−1+5202ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2821+521−52-2-2−2i−2i2i2i−1−52−1+52−1−52−1+52-22002i−2i1+521+521−521−52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ380ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−520000−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ6−ζ14−ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6+ζ14ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38000000000000
χ532-2022-2-2020000-2002i−2i−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3922-2-200i2−i2002i−2i2i−2i−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900000000000000000000000000000i2−i21−i−1+i1+i−1−i2−20000
χ542-2022-2-2020000-2002i−2i−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3922-2-200−i2i2002i−2i2i−2i−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900000000000000000000000000000−i2i2−1+i1−i−1−i1+i−220000
χ552-2022-2-2020000-2002i−2i2ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3922-2-200i2−i2002i−2i2i−2i2ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900000000000000000000000000000i2−i2−1+i1−i−1−i1+i2−20000
χ562-2022-2-2020000-2002i−2i2ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3922-2-200−i2i2002i−2i2i−2i2ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900000000000000000000000000000−i2i21−i−1+i1+i−1−i−220000
χ572-2022-2-2020000-200−2i2i−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3722-2-200i2−i200−2i2i−2i2i−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700000000000000000000000000000i2−i21+i−1−i1−i−1+i−220000
χ582-2022-2-2020000-200−2i2i−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3722-2-200−i2i200−2i2i−2i2i−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700000000000000000000000000000−i2i2−1−i1+i−1+i1−i2−20000
χ592-2022-2-2020000-200−2i2i2ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3722-2-200i2−i200−2i2i−2i2i2ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700000000000000000000000000000i2−i2−1−i1+i−1+i1−i−220000
χ602-2022-2-2020000-200−2i2i2ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3722-2-200−i2i200−2i2i−2i2i2ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700000000000000000000000000000−i2i21+i−1−i1−i−1+i2−20000
χ6144444444-14444-144000000-1-1-1-1-104400000000000000-1-1-1-1-1-1-10400000000000000000000-1-1000000-1000
χ6244444444-14444-144000000-1-1-1-1-10-4-400000000000000-1-1-1-1-1-1-10-400000000000000000000110000001000
χ634444444-4-1-4-4-4-4-144000000-1-1-1-1-10440000000000000011111-1-10-400000000000000000000-1-10000001000
χ644444444-4-1-4-4-4-4-144000000-1-1-1-1-10-4-40000000000000011111-1-1040000000000000000000011000000-1000
χ654-40−1+5−1−51−51+5040000-4004i−4i−4ζ13−4ζ21−4ζ29−4ζ374ζ13+4ζ21+4ζ29+4ζ37−4ζ7−4ζ23−4ζ31−4ζ394ζ7+4ζ23+4ζ31+4ζ39−1+5−1−51−51+5000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ142ζ13+2ζ37−2ζ13−2ζ372ζ21+2ζ29−2ζ21−2ζ292ζ7+2ζ23−2ζ7−2ζ232ζ31+2ζ39−2ζ31−2ζ3900000000000000000000000000000000000000000
χ664-40−1+5−1−51−51+5040000-4004i−4i4ζ13+4ζ21+4ζ29+4ζ37−4ζ13−4ζ21−4ζ29−4ζ374ζ7+4ζ23+4ζ31+4ζ39−4ζ7−4ζ23−4ζ31−4ζ39−1+5−1−51−51+5000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ13−2ζ372ζ13+2ζ37−2ζ21−2ζ292ζ21+2ζ29−2ζ7−2ζ232ζ7+2ζ23−2ζ31−2ζ392ζ31+2ζ3900000000000000000000000000000000000000000
χ674-40−1+5−1−51−51+5040000-400−4i4i−4ζ7−4ζ23−4ζ31−4ζ394ζ7+4ζ23+4ζ31+4ζ39−4ζ13−4ζ21−4ζ29−4ζ374ζ13+4ζ21+4ζ29+4ζ37−1+5−1−51−51+50000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ7+2ζ23−2ζ7−2ζ232ζ31+2ζ39−2ζ31−2ζ392ζ13+2ζ37−2ζ13−2ζ372ζ21+2ζ29−2ζ21−2ζ2900000000000000000000000000000000000000000
χ684-40−1+5−1−51−51+5040000-400−4i4i4ζ7+4ζ23+4ζ31+4ζ39−4ζ7−4ζ23−4ζ31−4ζ394ζ13+4ζ21+4ζ29+4ζ37−4ζ13−4ζ21−4ζ29−4ζ37−1+5−1−51−51+50000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14−2ζ7−2ζ232ζ7+2ζ23−2ζ31−2ζ392ζ31+2ζ39−2ζ13−2ζ372ζ13+2ζ37−2ζ21−2ζ292ζ21+2ζ2900000000000000000000000000000000000000000
χ694-40−1−5−1+51+51−5040000-4004i−4i−4ζ13−4ζ21−4ζ29−4ζ374ζ13+4ζ21+4ζ29+4ζ37−4ζ7−4ζ23−4ζ31−4ζ394ζ7+4ζ23+4ζ31+4ζ39−1−5−1+51+51−5000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ382ζ21+2ζ29−2ζ21−2ζ292ζ13+2ζ37−2ζ13−2ζ372ζ31+2ζ39−2ζ31−2ζ392ζ7+2ζ23−2ζ7−2ζ2300000000000000000000000000000000000000000
χ704-40−1−5−1+51+51−5040000-4004i−4i4ζ13+4ζ21+4ζ29+4ζ37−4ζ13−4ζ21−4ζ29−4ζ374ζ7+4ζ23+4ζ31+4ζ39−4ζ7−4ζ23−4ζ31−4ζ39−1−5−1+51+51−5000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ21−2ζ292ζ21+2ζ29−2ζ13−2ζ372ζ13+2ζ37−2ζ31−2ζ392ζ31+2ζ39−2ζ7−2ζ232ζ7+2ζ2300000000000000000000000000000000000000000
χ714-40−1−5−1+51+51−5040000-400−4i4i−4ζ7−4ζ23−4ζ31−4ζ394ζ7+4ζ23+4ζ31+4ζ39−4ζ13−4ζ21−4ζ29−4ζ374ζ13+4ζ21+4ζ29+4ζ37−1−5−1+51+51−50000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ31+2ζ39−2ζ31−2ζ392ζ7+2ζ23−2ζ7−2ζ232ζ21+2ζ29−2ζ21−2ζ292ζ13+2ζ37−2ζ13−2ζ3700000000000000000000000000000000000000000
χ724-40−1−5−1+51+51−5040000-400−4i4i4ζ7+4ζ23+4ζ31+4ζ39−4ζ7−4ζ23−4ζ31−4ζ394ζ13+4ζ21+4ζ29+4ζ37−4ζ13−4ζ21−4ζ29−4ζ37−1−5−1+51+51−50000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38−2ζ31−2ζ392ζ31+2ζ39−2ζ7−2ζ232ζ7+2ζ23−2ζ21−2ζ292ζ21+2ζ29−2ζ13−2ζ372ζ13+2ζ3700000000000000000000000000000000000000000
χ73888−2+25−2−25−2+25−2−258-2−2+25−2+25−2−25−2−25-2−2+25−2−250000001−521+521−521+52-200000000000000000-21−521−521+521+521−521+520000000000000000000000000000000000
χ74888−2+25−2−25−2+25−2−25-8-22−252−252+252+25-2−2+25−2−250000001−521+521−521+52-2000000000000000002−1+52−1+52−1−52−1−521−521+520000000000000000000000000000000000
χ75888−2−25−2+25−2−25−2+258-2−2−25−2−25−2+25−2+25-2−2−25−2+250000001+521−521+521−52-200000000000000000-21+521+521−521−521+521−520000000000000000000000000000000000
χ76888−2−25−2+25−2−25−2+25-8-22+252+252−252−25-2−2−25−2+250000001+521−521+521−52-2000000000000000002−1−52−1−52−1+52−1+521+521−520000000000000000000000000000000000
χ7788-888880-20000-2-8-8000000-2-2-2-220000000000000000000000220000000000000000000000000000000000
χ7888-8−2+25−2−25−2+25−2−250-24ζ12−4ζ28−4ζ12+4ζ28−4ζ4+4ζ364ζ4−4ζ36-22−252+250000001−521+521−521+522000000000000000000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1−520000000000000000000000000000000000
χ7988-8−2+25−2−25−2+25−2−250-2−4ζ12+4ζ284ζ12−4ζ284ζ4−4ζ36−4ζ4+4ζ36-22−252+250000001−521+521−521+522000000000000000000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1−520000000000000000000000000000000000
χ8088-8−2−25−2+25−2−25−2+250-2−4ζ4+4ζ364ζ4−4ζ36−4ζ12+4ζ284ζ12−4ζ28-22+252−250000001+521−521+521−522000000000000000000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1+520000000000000000000000000000000000
χ8188-8−2−25−2+25−2−25−2+250-24ζ4−4ζ36−4ζ4+4ζ364ζ12−4ζ28−4ζ12+4ζ28-22+252−250000001+521−521+521−522000000000000000000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1+520000000000000000000000000000000000
χ828-8088-8-80-20000200000000-2-222004i2−4i20000000000000000000000000000000000000000000−i2i20000000000
χ838-8088-8-80-20000200000000-2-22200−4i24i20000000000000000000000000000000000000000000i2−i20000000000
χ8416-160−4+45−4−454−454+450-400004000000001−51+5−1+5−1−500000000000000000000000000000000000000000000000000000000000
χ8516-160−4−45−4+454+454−450-400004000000001+51−5−1−5−1+500000000000000000000000000000000000000000000000000000000000

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