Finite Group Databasebeta

← Group #11986597

Character table — Group #11986597

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size112222222222244444444444444444444444444448888888888888888888888816161616161616161616161616161616161616168080808080808080
order1222255101010101010224444441010101010101010101010102020202020202020444202020202020202020202020202020202020202088884040404040404040404040404040404088888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111-1-111-1-1111111111111-1-1-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-1ii−i−i
χ6111111111111111-1-111-1-1111111111111-1-1-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-111−i−iii
χ7111111111111111-1-111-1-1111111111111-1-1-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−i−i−i−i−i−i−iiiiiiiii11-1-1−i−iii
χ8111111111111111-1-111-1-1111111111111-1-1-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−i−i−i−i−i−i−iiiiiiiii-1-111ii−i−i
χ91111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-11111-1-1-1-11111-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-1i−ii−ii−ii−i
χ101111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-11111-1-1-1-11111-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-1−ii−ii−ii−ii
χ111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111i−ii−i−ii−ii
χ121111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111−ii−iii−ii−i
χ131111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-1-1-111111111i−i−iiiiii−i−i−i−i−i−i−i−iiiiii−i−ii-111-1
χ141111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-1-1-111111111i−i−iiiiii−i−i−i−i−i−i−i−iiiii−iii−i1-1-11
χ151111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-1-1-111111111−iii−i−i−i−i−iiiiiiiii−i−i−i−ii−i−ii1-1-11
χ161111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-1-1-111111111−iii−i−i−i−i−iiiiiiiii−i−i−i−i−iii−i-111-1
χ1722222222222222222-2-22222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-20000000000000000000000000000
χ18222222222222222-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-22222-2-2-2-222220000000000000000000000000000
χ192222222222222-2-22222-2-22222-2-2-2-2-2-2-2-222222222-2-22-2-2-2-22222-2-2-2-2-2-2-2-222220000000000000000000000000000
χ202222222222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22-2-2-2-2-2222222222222-2-2-2-20000000000000000000000000000
χ2122222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222222−1+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+52−1−52−1−52−1−52−1−52222−1+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+52−1−52−1−5200000000
χ2222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222222−1+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+52−1−52−1−52−1−52−1−52222−1+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+5200000000
χ2322222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222-2-222−1+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+52−1−52−1−52−1−52−1−52-2-2-21−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ1800000000
χ2422222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222-2-222−1+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+52−1−52−1−52−1−52−1−52-2-2-21−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ1800000000
χ2522222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+522-2-2−1+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+522i2i−2i−2i−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ700000000
χ2622222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+522-2-2−1+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+52−2i−2i2i2iζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ700000000
χ2722222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ700000000
χ2822222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ700000000
χ2922222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22222-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ1800000000
χ3022222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22222-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ1800000000
χ3122222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-222-2-2-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+522-22-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000
χ3222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-222-2-2-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52-22-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000
χ3322222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-22222−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-22-21−521−521+521+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+520000−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ700000000
χ3422222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-22222−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-22-21−521−521+521+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+520000ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ700000000
χ3522222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-222−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+522-22−1+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+52−1−52−1−522i−2i−2i2i−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ700000000
χ3622222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-222−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+522-22−1+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+52−1−52−1−52−2i2i2i−2iζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ700000000
χ3722222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222222−1−52−1−52−1+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+52222−1−52−1−52−1+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+5200000000
χ3822222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222222−1−52−1−52−1+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+52222−1−52−1−52−1+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+521−521−5200000000
χ3922222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222-2-222−1−52−1−52−1+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+52-2-2-21+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ1400000000
χ4022222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222-2-222−1−52−1−52−1+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+52-2-2-21+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ1400000000
χ4122222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−522-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−522i2i−2i−2i−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ1900000000
χ4222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−522-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−52−2i−2i2i2iζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ1900000000
χ4322222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-2221+521+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+520000ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ1900000000
χ4422222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-2221+521+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+520000−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ1900000000
χ4522222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-22222-2-2−1−52−1−52−1+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+52-2-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ1400000000
χ4622222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-22222-2-2−1−52−1−52−1+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+52-2-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ1400000000
χ4722222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-222-2-2-2-2−1−52−1−52−1+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+5222-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−522-22-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000
χ4822222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-222-2-2-2-2−1−52−1−52−1+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+5222-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52-22-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000
χ4922222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-22222−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-22-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ1900000000
χ5022222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-22222−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-22-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ1900000000
χ5122222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-2-222−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−522-22−1−52−1−52−1+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+522i−2i−2i2i−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ1900000000
χ5222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-2-222−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−522-22−1−52−1−52−1+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+52−2i2i2i−2iζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ1900000000
χ53444-4-4444444440000004-4-4-4-4-400000000000000000000000000000004-44-400000000000000000000000000000000
χ54444-4-444444444000000-44-4-4-4-40000000000000000000000000000000-44-4400000000000000000000000000000000
χ55444-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−50000004-41−51−51+51+52ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ14−2ζ2+2ζ18−2ζ2+2ζ182ζ2−2ζ182ζ2−2ζ182ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ14−2ζ2+2ζ18−2ζ2+2ζ182ζ2−2ζ182ζ2−2ζ18000000000000000−1+51−5−1−51+500000000000000000000000000000000
χ56444-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−50000004-41−51−51+51+5−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ142ζ2−2ζ182ζ2−2ζ18−2ζ2+2ζ18−2ζ2+2ζ18−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ142ζ2−2ζ182ζ2−2ζ18−2ζ2+2ζ18−2ζ2+2ζ18000000000000000−1+51−5−1−51+500000000000000000000000000000000
χ57444-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5000000-441−51−51+51+52ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ14−2ζ2+2ζ18−2ζ2+2ζ182ζ2−2ζ182ζ2−2ζ18−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ142ζ2−2ζ182ζ2−2ζ18−2ζ2+2ζ18−2ζ2+2ζ180000000000000001−5−1+51+5−1−500000000000000000000000000000000
χ58444-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5000000-441−51−51+51+5−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ142ζ2−2ζ182ζ2−2ζ18−2ζ2+2ζ18−2ζ2+2ζ182ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ14−2ζ2+2ζ18−2ζ2+2ζ182ζ2−2ζ182ζ2−2ζ180000000000000001−5−1+51+5−1−500000000000000000000000000000000
χ59444-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+50000004-41+51+51−51−5−2ζ2+2ζ18−2ζ2+2ζ182ζ2−2ζ182ζ2−2ζ18−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ2+2ζ18−2ζ2+2ζ182ζ2−2ζ182ζ2−2ζ18−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14000000000000000−1−51+5−1+51−500000000000000000000000000000000
χ60444-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+50000004-41+51+51−51−52ζ2−2ζ182ζ2−2ζ18−2ζ2+2ζ18−2ζ2+2ζ182ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ2−2ζ182ζ2−2ζ18−2ζ2+2ζ18−2ζ2+2ζ182ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ14000000000000000−1−51+5−1+51−500000000000000000000000000000000
χ61444-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5000000-441+51+51−51−5−2ζ2+2ζ18−2ζ2+2ζ182ζ2−2ζ182ζ2−2ζ18−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ142ζ2−2ζ182ζ2−2ζ18−2ζ2+2ζ18−2ζ2+2ζ182ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ140000000000000001+5−1−51−5−1+500000000000000000000000000000000
χ62444-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5000000-441+51+51−51−52ζ2−2ζ182ζ2−2ζ18−2ζ2+2ζ18−2ζ2+2ζ182ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ14−2ζ2+2ζ18−2ζ2+2ζ182ζ2−2ζ182ζ2−2ζ18−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ140000000000000001+5−1−51−5−1+500000000000000000000000000000000
χ6344-44-444-4-4-4-44400004-4004-44-4000000000000000000000004-44-40000000000000000000000000000000000000000
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χ6544-44-4−1+5−1−51−51−51+51+5−1+5−1−500004-400−1+51−5−1−51+5000000002ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ18−2ζ2+2ζ182ζ2−2ζ180000000−1+51−5−1−51+5000000002ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ180000000000000000000000000000
χ6644-44-4−1+5−1−51−51−51+51+5−1+5−1−500004-400−1+51−5−1−51+500000000−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ182ζ2−2ζ18−2ζ2+2ζ180000000−1+51−5−1−51+500000000−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ180000000000000000000000000000
χ6744-44-4−1+5−1−51−51−51+51+5−1+5−1−50000-4400−1+51−5−1−51+5000000002ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ18−2ζ2+2ζ182ζ2−2ζ1800000001−5−1+51+5−1−500000000−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ180000000000000000000000000000
χ6844-44-4−1+5−1−51−51−51+51+5−1+5−1−50000-4400−1+51−5−1−51+500000000−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ182ζ2−2ζ18−2ζ2+2ζ1800000001−5−1+51+5−1−5000000002ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ180000000000000000000000000000
χ6944-44-4−1−5−1+51+51+51−51−5−1−5−1+500004-400−1−51+5−1+51−500000000−2ζ2+2ζ182ζ2−2ζ18−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ140000000−1−51+5−1+51−500000000−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ140000000000000000000000000000
χ7044-44-4−1−5−1+51+51+51−51−5−1−5−1+500004-400−1−51+5−1+51−5000000002ζ2−2ζ18−2ζ2+2ζ182ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ140000000−1−51+5−1+51−5000000002ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ140000000000000000000000000000
χ7144-44-4−1−5−1+51+51+51−51−5−1−5−1+50000-4400−1−51+5−1+51−500000000−2ζ2+2ζ182ζ2−2ζ18−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ1400000001+5−1−51−5−1+5000000002ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ140000000000000000000000000000
χ7244-44-4−1−5−1+51+51+51−51−5−1−5−1+50000-4400−1−51+5−1+51−5000000002ζ2−2ζ18−2ζ2+2ζ182ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ1400000001+5−1−51−5−1+500000000−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ140000000000000000000000000000
χ7344-4-4444-4-4-4-444004-40000-44-44000000004-4-444-4-44000000000000000000000000000000000000000000000000000
χ7444-4-4444-4-4-4-44400-440000-44-4400000000-444-4-444-4000000000000000000000000000000000000000000000000000
χ7544-4-44−1+5−1−51−51−51+51+5−1+5−1−5004-400001−5−1+51+5−1−500000000−1+51−51−5−1+5−1−51+51+5−1−50002ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ1800002ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ18000000000000000000000000000000000000
χ7644-4-44−1+5−1−51−51−51+51+5−1+5−1−5004-400001−5−1+51+5−1−500000000−1+51−51−5−1+5−1−51+51+5−1−5000−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ180000−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ18000000000000000000000000000000000000
χ7744-4-44−1+5−1−51−51−51+51+5−1+5−1−500-4400001−5−1+51+5−1−5000000001−5−1+5−1+51−51+5−1−5−1−51+50002ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ180000−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ18000000000000000000000000000000000000
χ7844-4-44−1+5−1−51−51−51+51+5−1+5−1−500-4400001−5−1+51+5−1−5000000001−5−1+5−1+51−51+5−1−5−1−51+5000−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ1800002ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ18000000000000000000000000000000000000
χ7944-4-44−1−5−1+51+51+51−51−5−1−5−1+5004-400001+5−1−51−5−1+500000000−1−51+51+5−1−5−1+51−51−5−1+5000−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ140000−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ14000000000000000000000000000000000000
χ8044-4-44−1−5−1+51+51+51−51−5−1−5−1+5004-400001+5−1−51−5−1+500000000−1−51+51+5−1−5−1+51−51−5−1+50002ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ1400002ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ14000000000000000000000000000000000000
χ8144-4-44−1−5−1+51+51+51−51−5−1−5−1+500-4400001+5−1−51−5−1+5000000001+5−1−5−1−51+51−5−1+5−1+51−5000−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ1400002ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ14000000000000000000000000000000000000
χ8244-4-44−1−5−1+51+51+51−51−5−1−5−1+500-4400001+5−1−51−5−1+5000000001+5−1−5−1−51+51−5−1+5−1+51−50002ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ140000−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ14000000000000000000000000000000000000
χ838-8000880000-8-84-400000000004-44-44-44-400000000000000000000000000000000000000000000000000000000000
χ848-8000880000-8-8-440000000000-44-44-44-4400000000000000000000000000000000000000000000000000000000000
χ858-8000−2+25−2−254ζ6−4ζ14−4ζ6+4ζ14−4ζ2+4ζ184ζ2−4ζ182−252+254-40000000000−4ζ144ζ14−4ζ64ζ6−4ζ24ζ2−4ζ184ζ1800000000000000000000000000000000000000000000000000000000000
χ868-8000−2+25−2−254ζ6−4ζ14−4ζ6+4ζ14−4ζ2+4ζ184ζ2−4ζ182−252+25-4400000000004ζ14−4ζ144ζ6−4ζ64ζ2−4ζ24ζ18−4ζ1800000000000000000000000000000000000000000000000000000000000
χ878-8000−2+25−2−25−4ζ6+4ζ144ζ6−4ζ144ζ2−4ζ18−4ζ2+4ζ182−252+254-40000000000−4ζ64ζ6−4ζ144ζ14−4ζ184ζ18−4ζ24ζ200000000000000000000000000000000000000000000000000000000000
χ888-8000−2+25−2−25−4ζ6+4ζ144ζ6−4ζ144ζ2−4ζ18−4ζ2+4ζ182−252+25-4400000000004ζ6−4ζ64ζ14−4ζ144ζ18−4ζ184ζ2−4ζ200000000000000000000000000000000000000000000000000000000000
χ898-8000−2−25−2+25−4ζ2+4ζ184ζ2−4ζ18−4ζ6+4ζ144ζ6−4ζ142+252−254-40000000000−4ζ24ζ2−4ζ184ζ18−4ζ64ζ6−4ζ144ζ1400000000000000000000000000000000000000000000000000000000000
χ908-8000−2−25−2+25−4ζ2+4ζ184ζ2−4ζ18−4ζ6+4ζ144ζ6−4ζ142+252−25-4400000000004ζ2−4ζ24ζ18−4ζ184ζ6−4ζ64ζ14−4ζ1400000000000000000000000000000000000000000000000000000000000
χ918-8000−2−25−2+254ζ2−4ζ18−4ζ2+4ζ184ζ6−4ζ14−4ζ6+4ζ142+252−254-40000000000−4ζ184ζ18−4ζ24ζ2−4ζ144ζ14−4ζ64ζ600000000000000000000000000000000000000000000000000000000000
χ928-8000−2−25−2+254ζ2−4ζ18−4ζ2+4ζ184ζ6−4ζ14−4ζ6+4ζ142+252−25-4400000000004ζ18−4ζ184ζ2−4ζ24ζ14−4ζ144ζ6−4ζ600000000000000000000000000000000000000000000000000000000000

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