Finite Group Databasebeta

← Group #11987070

Character table — Group #11987070

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size1122222222222444444444444444488888888888881616161616161616161616161616161616161616161616161616161640404040808080808080
order1222255101010101010444410101010202020202020202022444202020202020202088881010101020202020404040404040404040404040404040404444888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111ii−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1ii−i−i
χ611111111111111-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111ii−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-111−i−iii
χ711111111111111-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111−i−iii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1−i−iii
χ811111111111111-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111−i−iii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-111ii−i−i
χ911-11-111111111111-1-1-1-1-1111111111-11-1-1-1-1-1-111-1-11-11-111-1-111-1-11111-1-1-1-11111-1-1-1-1ii−i−ii−ii−ii−i
χ1011-11-111111111111-1-1-1-1-1111111111-11-1-1-1-1-1-111-1-11-11-111-1-111-1-11111-1-1-1-11111-1-1-1-1−i−iii−ii−ii−ii
χ1111-11-111111111111-1-1-1-1-1111111111-11-1-1-1-1-1-111-1-1-11-1111-1-111-1-1-1-1-1-11111-1-1-1-11111ii−i−ii−i−ii−ii
χ1211-11-111111111111-1-1-1-1-1111111111-11-1-1-1-1-1-111-1-1-11-1111-1-111-1-1-1-1-1-11111-1-1-1-11111−i−iii−iii−ii−i
χ1311-11-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1i−i−ii11-1-1-1-111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−ii-111-1
χ1411-11-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1i−i−ii11-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii−i−iiii−i1-1-11
χ1511-11-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1−iii−i11-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−iii−i−i−ii1-1-11
χ1611-11-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1−iii−i11-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−iiii−i-111-1
χ1722222222222222222222222222222-2-2-22-2222222220000-2-2-2-2-2-2-2-200000000000000000000000000
χ1822222222222222-2-222222-2-2-2-2-2-2-2-2-2-22-22-2-2-2-222220000-2-2-2-2222200000000000000000000000000
χ1922222−1+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+52−1−52−1−52−1−52−1−5222222−1+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+52−1−52−1−520000000000
χ2022222−1+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+52−1−52−1−52−1−52−1−5222222−1+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+520000000000
χ2122222−1+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+52−1−52−1−52−1−52−1−52-2-2-22-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−5200001−521+521−521+521−521+521−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ180000000000
χ2222222−1+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+52−1−52−1−52−1−52−1−52-2-2-22-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−5200001−521+521−521+521−521+521−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ180000000000
χ2322222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-22−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+5222-2-2-21−521−521+521+52−1+52−1−52−1+52−1−522i2i−2i−2i−1+52−1−52−1+52−1−521−521+521−521+52−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ70000000000
χ2422222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-22−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+5222-2-2-21−521−521+521+52−1+52−1−52−1+52−1−52−2i−2i2i2i−1+52−1−52−1+52−1−521−521+521−521+52ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ70000000000
χ2522222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-22−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2-22-221−521−521+521+52−1+52−1−52−1+52−1−5200001−521+521−521+52−1+52−1−52−1+52−1−52−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ70000000000
χ2622222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-22−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2-22-221−521−521+521+52−1+52−1−52−1+52−1−5200001−521+521−521+52−1+52−1−52−1+52−1−52ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ70000000000
χ2722222−1−52−1+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+5222222−1−52−1−52−1+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+520000000000
χ2822222−1−52−1+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+5222222−1−52−1−52−1+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+521−521−520000000000
χ2922222−1−52−1+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+52-2-2-22-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+5200001+521−521+521−521+521−521+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ140000000000
χ3022222−1−52−1+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+52-2-2-22-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+5200001+521−521+521−521+521−521+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ140000000000
χ3122222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-22−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5222-2-2-21+521+521−521−52−1−52−1+52−1−52−1+522i2i−2i−2i−1−52−1+52−1−52−1+521+521−521+521−52−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ190000000000
χ3222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-22−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5222-2-2-21+521+521−521−52−1−52−1+52−1−52−1+52−2i−2i2i2i−1−52−1+52−1−52−1+521+521−521+521−52ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ190000000000
χ3322222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-22−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2-22-221+521+521−521−52−1−52−1+52−1−52−1+5200001+521−521+521−52−1−52−1+52−1−52−1+52ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ190000000000
χ3422222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-22−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2-22-221+521+521−521−52−1−52−1+52−1−52−1+5200001+521−521+521−52−1−52−1+52−1−52−1+52−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ190000000000
χ3522-22-222222222222-2-2-2-2-222222222-22-2-22-2-2-2-222-2-20000-2-222-2-22200000000000000000000000000
χ3622-22-2222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222-2222222-2-20000-2-22222-2-200000000000000000000000000
χ3722-22-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222-21−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-22-2-21−521−521+521+52−1+52−1−521−521+522-22-2−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000
χ3822-22-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222-21−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-22-2-21−521−521+521+52−1+52−1−521−521+52-22-22−1+52−1−521−521+52−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000
χ3922-22-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222-21−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-22-2-221−521−521+521+52−1+52−1−521−521+5200001−521+52−1+52−1−521−521+52−1+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ180000000000
χ4022-22-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222-21−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-22-2-221−521−521+521+52−1+52−1−521−521+5200001−521+52−1+52−1−521−521+52−1+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ180000000000
χ4122-22-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-2-21−521−521+521+521−521−521−521−521+521+521+521+522-2-222−1+52−1+52−1−52−1−52−1+52−1−521−521+522i−2i−2i2i−1+52−1−521−521+521−521+52−1+52−1−52−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ70000000000
χ4222-22-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-2-21−521−521+521+521−521−521−521−521+521+521+521+522-2-222−1+52−1+52−1−52−1−52−1+52−1−521−521+52−2i2i2i−2i−1+52−1−521−521+521−521+52−1+52−1−52ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ70000000000
χ4322-22-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-2-21−521−521+521+521−521−521−521−521+521+521+521+52-2222-2−1+52−1+52−1−52−1−52−1+52−1−521−521+5200001−521+52−1+52−1−52−1+52−1−521−521+52−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ70000000000
χ4422-22-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-2-21−521−521+521+521−521−521−521−521+521+521+521+52-2222-2−1+52−1+52−1−52−1−52−1+52−1−521−521+5200001−521+52−1+52−1−52−1+52−1−521−521+52ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ70000000000
χ4522-22-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222-21+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-22-2-21+521+521−521−52−1−52−1+521+521−522-22-2−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000
χ4622-22-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222-21+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-22-2-21+521+521−521−52−1−52−1+521+521−52-22-22−1−52−1+521+521−52−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000000
χ4722-22-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222-21+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-22-2-221+521+521−521−52−1−52−1+521+521−5200001+521−52−1−52−1+521+521−52−1−52−1+52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ140000000000
χ4822-22-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222-21+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-22-2-221+521+521−521−52−1−52−1+521+521−5200001+521−52−1−52−1+521+521−52−1−52−1+52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ140000000000
χ4922-22-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-2-21+521+521−521−521+521+521+521+521−521−521−521−522-2-222−1−52−1−52−1+52−1+52−1−52−1+521+521−522i−2i−2i2i−1−52−1+521+521−521+521−52−1−52−1+52−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ190000000000
χ5022-22-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-2-21+521+521−521−521+521+521+521+521−521−521−521−522-2-222−1−52−1−52−1+52−1+52−1−52−1+521+521−52−2i2i2i−2i−1−52−1+521+521−521+521−52−1−52−1+52ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ190000000000
χ5122-22-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-2-21+521+521−521−521+521+521+521+521−521−521−521−52-2222-2−1−52−1−52−1+52−1+52−1−52−1+521+521−5200001+521−52−1−52−1+52−1−52−1+521+521−52ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ190000000000
χ5222-22-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-2-21+521+521−521−521+521+521+521+521−521−521−521−52-2222-2−1−52−1−52−1+52−1+52−1−52−1+521+521−5200001+521−52−1−52−1+52−1−52−1+521+521−52−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ190000000000
χ534444444444444-400-4444400000000000000000-4-4-4-400000000000000000000000000000000000000
χ5444444−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5-400-4−1+5−1+5−1−5−1−52ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ14−2ζ2+2ζ18−2ζ2+2ζ182ζ2−2ζ182ζ2−2ζ18000002ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ181−51+51−51+500000000000000000000000000000000000000
χ5544444−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5-400-4−1+5−1+5−1−5−1−5−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ142ζ2−2ζ182ζ2−2ζ18−2ζ2+2ζ18−2ζ2+2ζ1800000−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ181−51+51−51+500000000000000000000000000000000000000
χ5644444−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5-400-4−1−5−1−5−1+5−1+5−2ζ2+2ζ18−2ζ2+2ζ182ζ2−2ζ182ζ2−2ζ18−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ1400000−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ141+51−51+51−500000000000000000000000000000000000000
χ5744444−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5-400-4−1−5−1−5−1+5−1+52ζ2−2ζ182ζ2−2ζ18−2ζ2+2ζ18−2ζ2+2ζ182ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ14000002ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ141+51−51+51−500000000000000000000000000000000000000
χ58444-4-444-4-4-4-44400004-44-400000000000000000000000000000000000000000000000002i−2i2i−2i000000
χ59444-4-444-4-4-4-44400004-44-40000000000000000000000000000000000000000000000000−2i2i−2i2i000000
χ6044-44-444444444-4004-4-4-4-400000000000000000-4-44400000000000000000000000000000000000000
χ6144-44-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5-40041−51−51+51+52ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ14−2ζ2+2ζ18−2ζ2+2ζ182ζ2−2ζ182ζ2−2ζ1800000−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ181−51+5−1+5−1−500000000000000000000000000000000000000
χ6244-44-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5-40041−51−51+51+5−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ142ζ2−2ζ182ζ2−2ζ18−2ζ2+2ζ18−2ζ2+2ζ18000002ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ181−51+5−1+5−1−500000000000000000000000000000000000000
χ6344-44-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5-40041+51+51−51−5−2ζ2+2ζ18−2ζ2+2ζ182ζ2−2ζ182ζ2−2ζ18−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14000002ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ141+51−5−1−5−1+500000000000000000000000000000000000000
χ6444-44-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5-40041+51+51−51−52ζ2−2ζ182ζ2−2ζ18−2ζ2+2ζ18−2ζ2+2ζ182ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ1400000−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ141+51−5−1−5−1+500000000000000000000000000000000000000
χ6544-4-4444-4-4-4-4440000-44-4400000000000000000000000000000000000000000000000002-2-22000000
χ6644-4-4444-4-4-4-4440000-44-440000000000000000000000000000000000000000000000000-222-2000000
χ67888-8-8−2+25−2−252−252−252+252+25−2+25−2−250000−2+252−25−2−252+2500000000000000000000000000000000000000000000000000000000000
χ68888-8-8−2−25−2+252+252+252−252−25−2−25−2+250000−2−252+25−2+252−2500000000000000000000000000000000000000000000000000000000000
χ6988-8-88−2+25−2−252−252−252+252+25−2+25−2−2500002−25−2+252+25−2−2500000000000000000000000000000000000000000000000000000000000
χ7088-8-88−2−25−2+252+252+252−252−25−2−25−2+2500002+25−2−252−25−2+2500000000000000000000000000000000000000000000000000000000000
χ718-8000880000-8-804i−4i000004i−4i4i−4i4i−4i4i−4i000000000000000000000000000000000000000000000000000
χ728-8000880000-8-80−4i4i00000−4i4i−4i4i−4i4i−4i4i000000000000000000000000000000000000000000000000000
χ738-8000−2+25−2−254ζ6−4ζ14−4ζ6+4ζ14−4ζ2+4ζ184ζ2−4ζ182−252+2504i−4i00000−4ζ114ζ11−4ζ194ζ19−4ζ34ζ3−4ζ74ζ7000000000000000000000000000000000000000000000000000
χ748-8000−2+25−2−254ζ6−4ζ14−4ζ6+4ζ14−4ζ2+4ζ184ζ2−4ζ182−252+250−4i4i000004ζ11−4ζ114ζ19−4ζ194ζ3−4ζ34ζ7−4ζ7000000000000000000000000000000000000000000000000000
χ758-8000−2+25−2−25−4ζ6+4ζ144ζ6−4ζ144ζ2−4ζ18−4ζ2+4ζ182−252+2504i−4i00000−4ζ194ζ19−4ζ114ζ11−4ζ74ζ7−4ζ34ζ3000000000000000000000000000000000000000000000000000
χ768-8000−2+25−2−25−4ζ6+4ζ144ζ6−4ζ144ζ2−4ζ18−4ζ2+4ζ182−252+250−4i4i000004ζ19−4ζ194ζ11−4ζ114ζ7−4ζ74ζ3−4ζ3000000000000000000000000000000000000000000000000000
χ778-8000−2−25−2+25−4ζ2+4ζ184ζ2−4ζ18−4ζ6+4ζ144ζ6−4ζ142+252−2504i−4i00000−4ζ34ζ3−4ζ74ζ7−4ζ194ζ19−4ζ114ζ11000000000000000000000000000000000000000000000000000
χ788-8000−2−25−2+25−4ζ2+4ζ184ζ2−4ζ18−4ζ6+4ζ144ζ6−4ζ142+252−250−4i4i000004ζ3−4ζ34ζ7−4ζ74ζ19−4ζ194ζ11−4ζ11000000000000000000000000000000000000000000000000000
χ798-8000−2−25−2+254ζ2−4ζ18−4ζ2+4ζ184ζ6−4ζ14−4ζ6+4ζ142+252−2504i−4i00000−4ζ74ζ7−4ζ34ζ3−4ζ114ζ11−4ζ194ζ19000000000000000000000000000000000000000000000000000
χ808-8000−2−25−2+254ζ2−4ζ18−4ζ2+4ζ184ζ6−4ζ14−4ζ6+4ζ142+252−250−4i4i000004ζ7−4ζ74ζ3−4ζ34ζ11−4ζ114ζ19−4ζ19000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.