Finite Group Databasebeta

← Group #13107623

Character table — Group #13107623

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94
size112222222444444445588888881010101010101010101010101010101010101010101010101010101616161616162020202020202020202020202020202020202020404040505050505050505050505050
order12224551010510101010102020445510101010202222444888888882020202040404040404040401010101020201010101020202020404040404040404040404040101020244488888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-111-11111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111-1-11111111-1111-1-11iiii−i−i−i−i-1-1-1-1iiii−i−i−i−i111111-1-111-1-1-1-1iiiiii−i−i−i−i−i−i111-1-1-1-1iiii−i−i−i−i
χ611111111111111111-1-11111111-1111-1-11−i−i−i−iiiii-1-1-1-1−i−i−i−iiiii111111-1-111-1-1-1-1−i−i−i−i−i−iiiiiii111-1-1-1-1−i−i−i−iiiii
χ711111111111111111-1-11111111-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1iiii−i−i−i−i111111-1-1-1-1-1-1-1-1iiiiii−i−i−i−i−i−i-1-1-11111−i−i−i−iiiii
χ811111111111111111-1-11111111-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1−i−i−i−iiiii111111-1-1-1-1-1-1-1-1−i−i−i−i−i−iiiiiii-1-1-11111iiii−i−i−i−i
χ9111-1-11111111-1-11-1-111111-111-1-111-11-1-111-1-111-1-111111111111111-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-11-1-1-111-111-1-111-1-1
χ10111-1-11111111-1-11-1-111111-111-1-111-11-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111111-1-1-111-1-1-111-1-111
χ11111-1-11111111-1-11-1-111111-111-1-1-1-111-1111-1-111-1-111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1111-1-11-1-111-1-111
χ12111-1-11111111-1-11-1-111111-111-1-1-1-111-11-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1111-1-1111-1-111-1-1
χ13111-1-11111111-1-11-1-1-1-1111-111-1111-1-11-1ii−i−i−i−iii-1-1-1-1iiii−i−i−i−i11-1-1-1-11111-1-111ii−i−i−i−i−i−iiiii1-1-11-1-11ii−i−i−i−iii
χ14111-1-11111111-1-11-1-1-1-1111-111-1111-1-11-1−i−iiiii−i−i-1-1-1-1−i−i−i−iiiii11-1-1-1-11111-1-111−i−iiiiiii−i−i−i−i1-1-11-1-11−i−iiiii−i−i
χ15111-1-11111111-1-11-1-1-1-1111-111-11-1-11-111ii−i−i−i−iii-1-1-1-1iiii−i−i−i−i11-1-1-1-111-1-1-1-111ii−i−i−i−i−i−iiiii-111-111-1−i−iiiii−i−i
χ16111-1-11111111-1-11-1-1-1-1111-111-11-1-11-111−i−iiiii−i−i-1-1-1-1−i−i−i−iiiii11-1-1-1-111-1-1-1-111−i−iiiiiii−i−i−i−i-111-111-1ii−i−i−i−iii
χ1711-11-111111-1-1111-1-11111-1111-1-11-11-11-11-11-11-11-1111111111111-1-111-1-1-1-111-1-111-1-111-1-1-1-111-1-1-11-1-11-111-11-11-11-1
χ1811-11-111111-1-1111-1-11111-1111-1-11-11-11-1-11-11-11-111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-11111-1-111-11-1-11-11-11-11-11-11
χ1911-11-111111-1-1111-1-11111-1111-1-1-11-1-1111-11-11-11-1111111111111-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11-111-11-1-11-11-11-11
χ2011-11-111111-1-1111-1-11111-1111-1-1-11-1-111-11-11-11-111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1111-111-11-11-11-11-11-1
χ2111-11-111111-1-1111-1-1-1-111-1111-111-111-1-1i−ii−i−ii−ii-1-1-1-1iiii−i−i−i−i-1-111-1-1111111-1-1−i−iii−i−iii−i−iii-11-11-11-1i−ii−i−ii−ii
χ2211-11-111111-1-1111-1-1-1-111-1111-111-111-1-1−ii−iii−ii−i-1-1-1-1−i−i−i−iiiii-1-111-1-1111111-1-1ii−i−iii−i−iii−i−i-11-11-11-1−ii−iii−ii−i
χ2311-11-111111-1-1111-1-1-1-111-1111-11-11-11-11i−ii−i−ii−ii-1-1-1-1iiii−i−i−i−i-1-111-1-111-1-111-1-1−i−iii−i−iii−i−iii1-11-11-11−ii−iii−ii−i
χ2411-11-111111-1-1111-1-1-1-111-1111-11-11-11-11−ii−iii−ii−i-1-1-1-1−i−i−i−iiiii-1-111-1-111-1-111-1-1ii−i−iii−i−iii−i−i1-11-11-11i−ii−i−ii−ii
χ2511-1-1111111-1-1-1-11111111-1-111111-1-1-1-111-1-111-1-11111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1111-1-11-1-111-1-11
χ2611-1-1111111-1-1-1-11111111-1-111111-1-1-1-11-111-1-111-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-1111-1-1-111-1-111-1
χ2711-1-1111111-1-1-1-11111111-1-11111-111-1-1-11-1-111-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-111-111-1-111-1
χ2811-1-1111111-1-1-1-11111111-1-11111-111-1-1-1-111-1-111-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-111-1-1-1111-1-111-1-11
χ2911-1-1111111-1-1-1-1111-1-111-1-1111-11-1-1111i−i−ii−iii−i-1-1-1-1iiii−i−i−i−i-1-1-1-111-1-1111111−i−i−i−iiiiiii−i−i-1-11-1-111i−i−ii−iii−i
χ3011-1-1111111-1-1-1-1111-1-111-1-1111-11-1-1111−iii−ii−i−ii-1-1-1-1−i−i−i−iiiii-1-1-1-111-1-1111111iiii−i−i−i−i−i−iii-1-11-1-111−iii−ii−i−ii
χ3111-1-1111111-1-1-1-1111-1-111-1-1111-1-11111-1i−i−ii−iii−i-1-1-1-1iiii−i−i−i−i-1-1-1-111-1-1-1-11111−i−i−i−iiiiiii−i−i11-111-1-1−iii−ii−i−ii
χ3211-1-1111111-1-1-1-1111-1-111-1-1111-1-11111-1−iii−ii−i−ii-1-1-1-1−i−i−i−iiiii-1-1-1-111-1-1-1-11111iiii−i−i−i−i−i−iii11-111-1-1i−i−ii−iii−i
χ3322222−1+52−1−52−1+52−1−522−1+52−1−52−1+52−1−522−1+52−1−5222−1+52−1−5222−1+52−1−522200022022222222−1+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+52−1−5200−1+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+52−1−52000000000000000
χ3422222−1+52−1−52−1+52−1−522−1+52−1−52−1+52−1−522−1+52−1−5222−1+52−1−5222−1+52−1−5222000220-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+521−521+521−521+52000000000000000
χ3522222−1+52−1−52−1+52−1−522−1+52−1−52−1+52−1−522−1+52−1−52-2-2−1+52−1−5222−1+52−1−522-2000-2-202i2i2i2i−2i−2i−2i−2i1−521−521+521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−1+52−1−52−1+52−1−52−1+52−1−521−521+52001−521+521−521+52−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14000000000000000
χ3622222−1+52−1−52−1+52−1−522−1+52−1−52−1+52−1−522−1+52−1−52-2-2−1+52−1−5222−1+52−1−522-2000-2-20−2i−2i−2i−2i2i2i2i2i1−521−521+521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−1+52−1−52−1+52−1−52−1+52−1−521−521+52001−521+521−521+52ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14000000000000000
χ3722222−1−52−1+52−1−52−1+522−1−52−1+52−1−52−1+522−1−52−1+5222−1−52−1+5222−1−52−1+522200022022222222−1−52−1−52−1+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+5200−1−52−1+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+52000000000000000
χ3822222−1−52−1+52−1−52−1+522−1−52−1+52−1−52−1+522−1−52−1+5222−1−52−1+5222−1−52−1+5222000220-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−521+521−521+521−52000000000000000
χ3922222−1−52−1+52−1−52−1+522−1−52−1+52−1−52−1+522−1−52−1+52-2-2−1−52−1+5222−1−52−1+522-2000-2-202i2i2i2i−2i−2i−2i−2i1+521+521−521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−1−52−1+52−1−52−1+52−1−52−1+521+521−52001+521−521+521−52−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38000000000000000
χ4022222−1−52−1+52−1−52−1+522−1−52−1+52−1−52−1+522−1−52−1+52-2-2−1−52−1+5222−1−52−1+522-2000-2-20−2i−2i−2i−2i2i2i2i2i1+521+521−521−52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−1−52−1+52−1−52−1+52−1−52−1+521+521−52001+521−521+521−52ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38000000000000000
χ41222-2-2−1+52−1−52−1+52−1−522−1+52−1−521−521+5221−521+5222−1+52−1−522-2−1+52−1−52-2-20002-2022-2-222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521+521−521+5200−1+52−1−521−521+52−1+52−1−521−521+521−521+52−1+52−1−521−521+521−521+52000000000000000
χ42222-2-2−1+52−1−52−1+52−1−522−1+52−1−521−521+5221−521+5222−1+52−1−522-2−1+52−1−52-2-20002-20-2-222-2-222−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−521−521+521−521+521−521+5200−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−52−1+52−1−52000000000000000
χ43222-2-2−1+52−1−52−1+52−1−522−1+52−1−521−521+5221−521+52-2-2−1+52−1−522-2−1+52−1−52-22000-2202i2i−2i−2i−2i−2i2i2i1−521−521+521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−1+52−1−521−521+521−521+52−1+52−1−52001−521+52−1+52−1−52−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14000000000000000
χ44222-2-2−1+52−1−52−1+52−1−522−1+52−1−521−521+5221−521+52-2-2−1+52−1−522-2−1+52−1−52-22000-220−2i−2i2i2i2i2i−2i−2i1−521−521+521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−1+52−1−521−521+521−521+52−1+52−1−52001−521+52−1+52−1−52ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14000000000000000
χ45222-2-2−1−52−1+52−1−52−1+522−1−52−1+521+521−5221+521−5222−1−52−1+522-2−1−52−1+52-2-20002-2022-2-222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521−521+521−5200−1−52−1+521+521−52−1−52−1+521+521−521+521−52−1−52−1+521+521−521+521−52000000000000000
χ46222-2-2−1−52−1+52−1−52−1+522−1−52−1+521+521−5221+521−5222−1−52−1+522-2−1−52−1+52-2-20002-20-2-222-2-222−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1+521+521−521+521−521+521−5200−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+52−1−52−1+52000000000000000
χ47222-2-2−1−52−1+52−1−52−1+522−1−52−1+521+521−5221+521−52-2-2−1−52−1+522-2−1−52−1+52-22000-2202i2i−2i−2i−2i−2i2i2i1+521+521−521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−1−52−1+521+521−521+521−52−1−52−1+52001+521−52−1−52−1+52−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38000000000000000
χ48222-2-2−1−52−1+52−1−52−1+522−1−52−1+521+521−5221+521−52-2-2−1−52−1+522-2−1−52−1+52-22000-220−2i−2i2i2i2i2i−2i−2i1+521+521−521−52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−1−52−1+521+521−521+521−52−1−52−1+52001+521−52−1−52−1+52ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38000000000000000
χ4922-22-2−1+52−1−52−1+52−1−5221−521+52−1+52−1−5221−521+5222−1+52−1−52-22−1+52−1−52-2-2000-2202-22-22-22-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+52−1+52−1−521−521+521−521+52001−521+52−1+52−1−521−521+52−1+52−1−521−521+521−521+52−1+52−1−521−521+52000000000000000
χ5022-22-2−1+52−1−52−1+52−1−5221−521+52−1+52−1−5221−521+5222−1+52−1−52-22−1+52−1−52-2-2000-220-22-22-22-22−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521+52−1+52−1−521−521+521−521+52001−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−52000000000000000
χ5122-22-2−1+52−1−52−1+52−1−5221−521+52−1+52−1−5221−521+52-2-2−1+52−1−52-22−1+52−1−52-220002-202i−2i2i−2i−2i2i−2i2i1−521−521+521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ141−521+52−1+52−1−521−521+52−1+52−1−5200−1+52−1−521−521+52ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14000000000000000
χ5222-22-2−1+52−1−52−1+52−1−5221−521+52−1+52−1−5221−521+52-2-2−1+52−1−52-22−1+52−1−52-220002-20−2i2i−2i2i2i−2i2i−2i1−521−521+521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ141−521+52−1+52−1−521−521+52−1+52−1−5200−1+52−1−521−521+52−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14000000000000000
χ5322-22-2−1−52−1+52−1−52−1+5221+521−52−1−52−1+5221+521−5222−1−52−1+52-22−1−52−1+52-2-2000-2202-22-22-22-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−52−1−52−1+521+521−521+521−52001+521−52−1−52−1+521+521−52−1−52−1+521+521−521+521−52−1−52−1+521+521−52000000000000000
χ5422-22-2−1−52−1+52−1−52−1+5221+521−52−1−52−1+5221+521−5222−1−52−1+52-22−1−52−1+52-2-2000-220-22-22-22-22−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521−52−1−52−1+521+521−521+521−52001+521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+52000000000000000
χ5522-22-2−1−52−1+52−1−52−1+5221+521−52−1−52−1+5221+521−52-2-2−1−52−1+52-22−1−52−1+52-220002-202i−2i2i−2i−2i2i−2i2i1+521+521−521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ381+521−52−1−52−1+521+521−52−1−52−1+5200−1−52−1+521+521−52ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38000000000000000
χ5622-22-2−1−52−1+52−1−52−1+5221+521−52−1−52−1+5221+521−52-2-2−1−52−1+52-22−1−52−1+52-220002-20−2i2i−2i2i2i−2i2i−2i1+521+521−521−52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ381+521−52−1−52−1+521+521−52−1−52−1+5200−1−52−1+521+521−52−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38000000000000000
χ5722-2-22−1+52−1−52−1+52−1−5221−521+521−521+522−1+52−1−5222−1+52−1−52-2-2−1+52−1−5222000-2-202-2-222-2-22−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+52−1+52−1−52−1+52−1−52001−521+521−521+521−521+521−521+52−1+52−1−521−521+521−521+52−1+52−1−52000000000000000
χ5822-2-22−1+52−1−52−1+52−1−5221−521+521−521+522−1+52−1−5222−1+52−1−52-2-2−1+52−1−5222000-2-20-222-2-222-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521+521−521+52−1+52−1−52−1+52−1−52001−521+521−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+52000000000000000
χ5922-2-22−1+52−1−52−1+52−1−5221−521+521−521+522−1+52−1−52-2-2−1+52−1−52-2-2−1+52−1−522-20002202i−2i−2i2i−2i2i2i−2i1−521−521+521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ141−521+521−521+52−1+52−1−521−521+5200−1+52−1−52−1+52−1−52ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14000000000000000
χ6022-2-22−1+52−1−52−1+52−1−5221−521+521−521+522−1+52−1−52-2-2−1+52−1−52-2-2−1+52−1−522-2000220−2i2i2i−2i2i−2i−2i2i1−521−521+521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ141−521+521−521+52−1+52−1−521−521+5200−1+52−1−52−1+52−1−52−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14000000000000000
χ6122-2-22−1−52−1+52−1−52−1+5221+521−521+521−522−1−52−1+5222−1−52−1+52-2-2−1−52−1+5222000-2-202-2-222-2-22−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−52−1−52−1+52−1−52−1+52001+521−521+521−521+521−521+521−52−1−52−1+521+521−521+521−52−1−52−1+52000000000000000
χ6222-2-22−1−52−1+52−1−52−1+5221+521−521+521−522−1−52−1+5222−1−52−1+52-2-2−1−52−1+5222000-2-20-222-2-222-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521−521+521−52−1−52−1+52−1−52−1+52001+521−521+521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−52000000000000000
χ6322-2-22−1−52−1+52−1−52−1+5221+521−521+521−522−1−52−1+52-2-2−1−52−1+52-2-2−1−52−1+522-20002202i−2i−2i2i−2i2i2i−2i1+521+521−521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ381+521−521+521−52−1−52−1+521+521−5200−1−52−1+52−1−52−1+52ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38000000000000000
χ6422-2-22−1−52−1+52−1−52−1+5221+521−521+521−522−1−52−1+52-2-2−1−52−1+52-2-2−1−52−1+522-2000220−2i2i2i−2i2i−2i−2i2i1+521+521−521−52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ381+521−521+521−52−1−52−1+521+521−5200−1−52−1+52−1−52−1+52−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38000000000000000
χ65444444444-14444-14400-1-1-1-1-1-1-1044400400000000000000000000-1-1-1-1-1-100-1-10000000000000000-1-1-1000000000000
χ66444444444-14444-14400-1-1-1-1-1-1-10-4-4-400-400000000000000000000-1-1-1-1-1-100110000000000000000111000000000000
χ67444-4-44444-144-4-4-1-4-400-1-1-11-1-11044-400-400000000000000000000-1-1111100-1-10000000000000000-111000000000000
χ68444-4-44444-144-4-4-1-4-400-1-1-11-1-110-4-4400400000000000000000000-1-11111001100000000000000001-1-1000000000000
χ6944-44-44444-1-4-444-1-4-400-1-11-1-1-1104-4400-40000000000000000000011-1-11100-1-100000000000000001-11000000000000
χ7044-44-44444-1-4-444-1-4-400-1-11-1-1-110-44-40040000000000000000000011-1-11100110000000000000000-11-1000000000000
χ7144-4-444444-1-4-4-4-4-14400-1-111-1-1-104-4-4004000000000000000000001111-1-100-1-1000000000000000011-1000000000000
χ7244-4-444444-1-4-4-4-4-14400-1-111-1-1-10-44400-4000000000000000000001111-1-100110000000000000000-1-11000000000000
χ734-400044-4-440000-4004i−4i4400-4-400000000000000004i−4i4i−4i0000000000000000000000000000000000000000000000000
χ744-400044-4-440000-400−4i4i4400-4-40000000000000000−4i4i−4i4i0000000000000000000000000000000000000000000000000
χ754-4000−1+5−1−51−51+540000-4004i−4i−1+5−1−5001−51+50000000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ13+2ζ372ζ13−2ζ37−2ζ21+2ζ292ζ21−2ζ292ζ7−2ζ23−2ζ7+2ζ23−2ζ31+2ζ392ζ31−2ζ3900000000000000000000000000000000000000000
χ764-4000−1+5−1−51−51+540000-4004i−4i−1+5−1−5001−51+50000000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ142ζ13−2ζ37−2ζ13+2ζ372ζ21−2ζ29−2ζ21+2ζ29−2ζ7+2ζ232ζ7−2ζ232ζ31−2ζ39−2ζ31+2ζ3900000000000000000000000000000000000000000
χ774-4000−1+5−1−51−51+540000-400−4i4i−1+5−1−5001−51+500000000000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ7−2ζ23−2ζ7+2ζ23−2ζ31+2ζ392ζ31−2ζ39−2ζ13+2ζ372ζ13−2ζ37−2ζ21+2ζ292ζ21−2ζ2900000000000000000000000000000000000000000
χ784-4000−1+5−1−51−51+540000-400−4i4i−1+5−1−5001−51+500000000000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14−2ζ7+2ζ232ζ7−2ζ232ζ31−2ζ39−2ζ31+2ζ392ζ13−2ζ37−2ζ13+2ζ372ζ21−2ζ29−2ζ21+2ζ2900000000000000000000000000000000000000000
χ794-4000−1−5−1+51+51−540000-4004i−4i−1−5−1+5001+51−50000000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ21+2ζ292ζ21−2ζ292ζ13−2ζ37−2ζ13+2ζ37−2ζ31+2ζ392ζ31−2ζ39−2ζ7+2ζ232ζ7−2ζ2300000000000000000000000000000000000000000
χ804-4000−1−5−1+51+51−540000-4004i−4i−1−5−1+5001+51−50000000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ382ζ21−2ζ29−2ζ21+2ζ29−2ζ13+2ζ372ζ13−2ζ372ζ31−2ζ39−2ζ31+2ζ392ζ7−2ζ23−2ζ7+2ζ2300000000000000000000000000000000000000000
χ814-4000−1−5−1+51+51−540000-400−4i4i−1−5−1+5001+51−500000000000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38−2ζ31+2ζ392ζ31−2ζ39−2ζ7+2ζ232ζ7−2ζ23−2ζ21+2ζ292ζ21−2ζ292ζ13−2ζ37−2ζ13+2ζ3700000000000000000000000000000000000000000
χ824-4000−1−5−1+51+51−540000-400−4i4i−1−5−1+5001+51−500000000000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ31−2ζ39−2ζ31+2ζ392ζ7−2ζ23−2ζ7+2ζ232ζ21−2ζ29−2ζ21+2ζ29−2ζ13+2ζ372ζ13−2ζ3700000000000000000000000000000000000000000
χ8388888−2+25−2−25−2+25−2−25-2−2+25−2−25−2+25−2−25-2−2+25−2−25001−521+52-2-21−521+52-20000000000000000000000000001−521+521−521+521−521+5200000000000000000000000000000000000
χ8488888−2−25−2+25−2−25−2+25-2−2−25−2+25−2−25−2+25-2−2−25−2+25001+521−52-2-21+521−52-20000000000000000000000000001+521−521+521−521+521−5200000000000000000000000000000000000
χ85888-8-8−2+25−2−25−2+25−2−25-2−2+25−2−252−252+25-22−252+25001−521+52-221−521+5220000000000000000000000000001−521+52−1+52−1−52−1+52−1−5200000000000000000000000000000000000
χ86888-8-8−2−25−2+25−2−25−2+25-2−2−25−2+252+252−25-22+252−25001+521−52-221+521−5220000000000000000000000000001+521−52−1−52−1+52−1−52−1+5200000000000000000000000000000000000
χ8788-88-8−2+25−2−25−2+25−2−25-22−252+25−2+25−2−25-22−252+25001−521+522-21−521+522000000000000000000000000000−1+52−1−521−521+52−1+52−1−5200000000000000000000000000000000000
χ8888-88-8−2−25−2+25−2−25−2+25-22+252−25−2−25−2+25-22+252−25001+521−522-21+521−522000000000000000000000000000−1−52−1+521+521−52−1−52−1+5200000000000000000000000000000000000
χ8988-8-88−2+25−2−25−2+25−2−25-22−252+252−252+25-2−2+25−2−25001−521+52221−521+52-2000000000000000000000000000−1+52−1−52−1+52−1−521−521+5200000000000000000000000000000000000
χ9088-8-88−2−25−2+25−2−25−2+25-22+252−252+252−25-2−2−25−2+25001+521−52221+521−52-2000000000000000000000000000−1−52−1+52−1−52−1+521+521−5200000000000000000000000000000000000
χ918-800088-8-8-2000020000-2-2002200000000000000000000000000000000000025−250000000000000000000000000000000
χ928-800088-8-8-2000020000-2-20022000000000000000000000000000000000000−25250000000000000000000000000000000
χ9316-16000−4+45−4−454−454+45-40000400001−51+500−1+5−1−5000000000000000000000000000000000000000000000000000000000000000000000
χ9416-16000−4−45−4+454+454−45-40000400001+51−500−1−5−1+5000000000000000000000000000000000000000000000000000000000000000000000

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