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Label $p$ $n$ $f$ $e$ $c$ Base Abs. Artin slopes Swan slopes Means Rams Generic poly Ambiguity Field count Mass
2.4.8.88d $2$ $32$ $4$ $8$ $88$ $\Q_{2}$ $[2, 3, \frac{7}{2}]$ $[1, 2, \frac{5}{2}]$ $\langle\frac{1}{2}, \frac{5}{4}, \frac{15}{8}\rangle$ $(1, 3, 5)$ $x^8 + 4 a_{15} x^7 + 4 b_{14} x^6 + (2 a_{4} + 8 c_{20}) x^4 + 8 b_{19} x^3 + 4 a_{10} x^2 + 8 b_{17} x + 4 c_{8} + 8 c_{16} + 2$ $32$ $0$ $13824000$
2.2.1.0a1.1-2.8.44d $2$ $16$ $2$ $8$ $44$ $\Q_{2}(\sqrt{5})$ $[2, 3, \frac{7}{2}]$ $[1, 2, \frac{5}{2}]$ $\langle\frac{1}{2}, \frac{5}{4}, \frac{15}{8}\rangle$ $(1, 3, 5)$ $x^8 + 4 a_{15} x^7 + 4 b_{14} x^6 + (2 a_{4} + 8 c_{20}) x^4 + 8 b_{19} x^3 + 4 a_{10} x^2 + 8 b_{17} x + 4 c_{8} + 8 c_{16} + 2$ $16$ $0$ $13824000$
2.1.2.2a1.1-4.4.56b $2$ $16$ $4$ $4$ $56$ $\Q_{2}(\sqrt{-1})$ $[2, 3, \frac{7}{2}]$ $[3, 4]$ $\langle\frac{3}{2}, \frac{11}{4}\rangle$ $(3, 5)$ $x^4 + (b_{15} \pi^4 + a_{11} \pi^3) x^3 + (b_{10} \pi^3 + a_{6} \pi^2) x^2 + b_{13} \pi^4 x + c_{16} \pi^5 + c_{12} \pi^4 + \pi$ $16$ $0$ $921600$
2.1.2.2a1.2-4.4.56b $2$ $16$ $4$ $4$ $56$ $\Q_{2}(\sqrt{-5})$ $[2, 3, \frac{7}{2}]$ $[3, 4]$ $\langle\frac{3}{2}, \frac{11}{4}\rangle$ $(3, 5)$ $x^4 + (b_{15} \pi^4 + a_{11} \pi^3) x^3 + (b_{10} \pi^3 + a_{6} \pi^2) x^2 + b_{13} \pi^4 x + c_{16} \pi^5 + c_{12} \pi^4 + \pi$ $16$ $0$ $921600$
2.1.2.3a1.1-4.4.40b $2$ $16$ $4$ $4$ $40$ $\Q_{2}(\sqrt{-2})$ $[2, 3, \frac{7}{2}]$ $[1, 3]$ $\langle\frac{1}{2}, \frac{7}{4}\rangle$ $(1, 5)$ $x^4 + (b_{11} \pi^3 + a_{7} \pi^2) x^3 + a_{2} \pi x^2 + b_{9} \pi^3 x + c_{12} \pi^4 + c_{4} \pi^2 + \pi$ $16$ $0$ $57600$
2.1.2.3a1.2-4.4.40b $2$ $16$ $4$ $4$ $40$ $\Q_{2}(\sqrt{-2\cdot 5})$ $[2, 3, \frac{7}{2}]$ $[1, 3]$ $\langle\frac{1}{2}, \frac{7}{4}\rangle$ $(1, 5)$ $x^4 + (b_{11} \pi^3 + a_{7} \pi^2) x^3 + a_{2} \pi x^2 + b_{9} \pi^3 x + c_{12} \pi^4 + c_{4} \pi^2 + \pi$ $16$ $0$ $57600$
2.1.2.3a1.3-4.4.40b $2$ $16$ $4$ $4$ $40$ $\Q_{2}(\sqrt{2})$ $[2, 3, \frac{7}{2}]$ $[1, 3]$ $\langle\frac{1}{2}, \frac{7}{4}\rangle$ $(1, 5)$ $x^4 + (b_{11} \pi^3 + a_{7} \pi^2) x^3 + a_{2} \pi x^2 + b_{9} \pi^3 x + c_{12} \pi^4 + c_{4} \pi^2 + \pi$ $16$ $0$ $57600$
2.1.2.3a1.4-4.4.40b $2$ $16$ $4$ $4$ $40$ $\Q_{2}(\sqrt{2\cdot 5})$ $[2, 3, \frac{7}{2}]$ $[1, 3]$ $\langle\frac{1}{2}, \frac{7}{4}\rangle$ $(1, 5)$ $x^4 + (b_{11} \pi^3 + a_{7} \pi^2) x^3 + a_{2} \pi x^2 + b_{9} \pi^3 x + c_{12} \pi^4 + c_{4} \pi^2 + \pi$ $16$ $0$ $57600$
2.4.1.0a1.1-1.8.22d $2$ $8$ $1$ $8$ $22$ 2.4.1.0a1.1 $[2, 3, \frac{7}{2}]$ $[1, 2, \frac{5}{2}]$ $\langle\frac{1}{2}, \frac{5}{4}, \frac{15}{8}\rangle$ $(1, 3, 5)$ $x^8 + 4 a_{15} x^7 + 4 b_{14} x^6 + (2 a_{4} + 8 c_{20}) x^4 + 8 b_{19} x^3 + 4 a_{10} x^2 + 8 b_{17} x + 4 c_{8} + 8 c_{16} + 2$ $8$ $0$ $13824000$
2.2.2.4a1.1-2.4.28b $2$ $8$ $2$ $4$ $28$ 2.2.2.4a1.1 $[2, 3, \frac{7}{2}]$ $[3, 4]$ $\langle\frac{3}{2}, \frac{11}{4}\rangle$ $(3, 5)$ $x^4 + (b_{15} \pi^4 + a_{11} \pi^3) x^3 + (b_{10} \pi^3 + a_{6} \pi^2) x^2 + b_{13} \pi^4 x + c_{16} \pi^5 + c_{12} \pi^4 + \pi$ $8$ $0$ $921600$
2.2.2.4a1.2-2.4.28b $2$ $8$ $2$ $4$ $28$ 2.2.2.4a1.2 $[2, 3, \frac{7}{2}]$ $[3, 4]$ $\langle\frac{3}{2}, \frac{11}{4}\rangle$ $(3, 5)$ $x^4 + (b_{15} \pi^4 + a_{11} \pi^3) x^3 + (b_{10} \pi^3 + a_{6} \pi^2) x^2 + b_{13} \pi^4 x + c_{16} \pi^5 + c_{12} \pi^4 + \pi$ $8$ $0$ $921600$
2.2.2.4a2.1-2.4.28b $2$ $8$ $2$ $4$ $28$ 2.2.2.4a2.1 $[2, 3, \frac{7}{2}]$ $[3, 4]$ $\langle\frac{3}{2}, \frac{11}{4}\rangle$ $(3, 5)$ $x^4 + (b_{15} \pi^4 + a_{11} \pi^3) x^3 + (b_{10} \pi^3 + a_{6} \pi^2) x^2 + b_{13} \pi^4 x + c_{16} \pi^5 + c_{12} \pi^4 + \pi$ $8$ $0$ $921600$
2.2.2.4a2.2-2.4.28b $2$ $8$ $2$ $4$ $28$ 2.2.2.4a2.2 $[2, 3, \frac{7}{2}]$ $[3, 4]$ $\langle\frac{3}{2}, \frac{11}{4}\rangle$ $(3, 5)$ $x^4 + (b_{15} \pi^4 + a_{11} \pi^3) x^3 + (b_{10} \pi^3 + a_{6} \pi^2) x^2 + b_{13} \pi^4 x + c_{16} \pi^5 + c_{12} \pi^4 + \pi$ $8$ $0$ $921600$
2.2.2.6a1.1-2.4.20b $2$ $8$ $2$ $4$ $20$ 2.2.2.6a1.1 $[2, 3, \frac{7}{2}]$ $[1, 3]$ $\langle\frac{1}{2}, \frac{7}{4}\rangle$ $(1, 5)$ $x^4 + (b_{11} \pi^3 + a_{7} \pi^2) x^3 + a_{2} \pi x^2 + b_{9} \pi^3 x + c_{12} \pi^4 + c_{4} \pi^2 + \pi$ $8$ $0$ $57600$
2.2.2.6a1.2-2.4.20b $2$ $8$ $2$ $4$ $20$ 2.2.2.6a1.2 $[2, 3, \frac{7}{2}]$ $[1, 3]$ $\langle\frac{1}{2}, \frac{7}{4}\rangle$ $(1, 5)$ $x^4 + (b_{11} \pi^3 + a_{7} \pi^2) x^3 + a_{2} \pi x^2 + b_{9} \pi^3 x + c_{12} \pi^4 + c_{4} \pi^2 + \pi$ $8$ $0$ $57600$
2.2.2.6a1.3-2.4.20b $2$ $8$ $2$ $4$ $20$ 2.2.2.6a1.3 $[2, 3, \frac{7}{2}]$ $[1, 3]$ $\langle\frac{1}{2}, \frac{7}{4}\rangle$ $(1, 5)$ $x^4 + (b_{11} \pi^3 + a_{7} \pi^2) x^3 + a_{2} \pi x^2 + b_{9} \pi^3 x + c_{12} \pi^4 + c_{4} \pi^2 + \pi$ $8$ $0$ $57600$
2.2.2.6a1.4-2.4.20b $2$ $8$ $2$ $4$ $20$ 2.2.2.6a1.4 $[2, 3, \frac{7}{2}]$ $[1, 3]$ $\langle\frac{1}{2}, \frac{7}{4}\rangle$ $(1, 5)$ $x^4 + (b_{11} \pi^3 + a_{7} \pi^2) x^3 + a_{2} \pi x^2 + b_{9} \pi^3 x + c_{12} \pi^4 + c_{4} \pi^2 + \pi$ $8$ $0$ $57600$
2.2.2.6a1.5-2.4.20b $2$ $8$ $2$ $4$ $20$ 2.2.2.6a1.5 $[2, 3, \frac{7}{2}]$ $[1, 3]$ $\langle\frac{1}{2}, \frac{7}{4}\rangle$ $(1, 5)$ $x^4 + (b_{11} \pi^3 + a_{7} \pi^2) x^3 + a_{2} \pi x^2 + b_{9} \pi^3 x + c_{12} \pi^4 + c_{4} \pi^2 + \pi$ $8$ $0$ $57600$
2.2.2.6a1.6-2.4.20b $2$ $8$ $2$ $4$ $20$ 2.2.2.6a1.6 $[2, 3, \frac{7}{2}]$ $[1, 3]$ $\langle\frac{1}{2}, \frac{7}{4}\rangle$ $(1, 5)$ $x^4 + (b_{11} \pi^3 + a_{7} \pi^2) x^3 + a_{2} \pi x^2 + b_{9} \pi^3 x + c_{12} \pi^4 + c_{4} \pi^2 + \pi$ $8$ $0$ $57600$
2.1.4.8b1.1-4.2.24a $2$ $8$ $4$ $2$ $24$ 2.1.4.8b1.1 $[2, 3, \frac{7}{2}]$ $[5]$ $\langle\frac{5}{2}\rangle$ $(5)$ $x^2 + (b_{9} \pi^5 + b_{7} \pi^4 + a_{5} \pi^3) x + c_{10} \pi^6 + \pi$ $8$ $0$ $3840$
2.1.4.8b1.2-4.2.24a $2$ $8$ $4$ $2$ $24$ 2.1.4.8b1.2 $[2, 3, \frac{7}{2}]$ $[5]$ $\langle\frac{5}{2}\rangle$ $(5)$ $x^2 + (b_{9} \pi^5 + b_{7} \pi^4 + a_{5} \pi^3) x + c_{10} \pi^6 + \pi$ $8$ $0$ $3840$
2.1.4.8b1.3-4.2.24a $2$ $8$ $4$ $2$ $24$ 2.1.4.8b1.3 $[2, 3, \frac{7}{2}]$ $[5]$ $\langle\frac{5}{2}\rangle$ $(5)$ $x^2 + (b_{9} \pi^5 + b_{7} \pi^4 + a_{5} \pi^3) x + c_{10} \pi^6 + \pi$ $8$ $0$ $3840$
2.1.4.8b1.4-4.2.24a $2$ $8$ $4$ $2$ $24$ 2.1.4.8b1.4 $[2, 3, \frac{7}{2}]$ $[5]$ $\langle\frac{5}{2}\rangle$ $(5)$ $x^2 + (b_{9} \pi^5 + b_{7} \pi^4 + a_{5} \pi^3) x + c_{10} \pi^6 + \pi$ $8$ $0$ $3840$
2.1.4.8b1.5-4.2.24a $2$ $8$ $4$ $2$ $24$ 2.1.4.8b1.5 $[2, 3, \frac{7}{2}]$ $[5]$ $\langle\frac{5}{2}\rangle$ $(5)$ $x^2 + (b_{9} \pi^5 + b_{7} \pi^4 + a_{5} \pi^3) x + c_{10} \pi^6 + \pi$ $8$ $0$ $3840$
2.1.4.8b1.6-4.2.24a $2$ $8$ $4$ $2$ $24$ 2.1.4.8b1.6 $[2, 3, \frac{7}{2}]$ $[5]$ $\langle\frac{5}{2}\rangle$ $(5)$ $x^2 + (b_{9} \pi^5 + b_{7} \pi^4 + a_{5} \pi^3) x + c_{10} \pi^6 + \pi$ $8$ $0$ $3840$
2.1.4.9a1.1-4.2.16a $2$ $8$ $4$ $2$ $16$ 2.1.4.9a1.1 $[2, 3, \frac{7}{2}]$ $[3]$ $\langle\frac{3}{2}\rangle$ $(3)$ $x^2 + (b_{5} \pi^3 + a_{3} \pi^2) x + c_{6} \pi^4 + \pi$ $8$ $0$ $240$
2.1.4.9a1.2-4.2.16a $2$ $8$ $4$ $2$ $16$ 2.1.4.9a1.2 $[2, 3, \frac{7}{2}]$ $[3]$ $\langle\frac{3}{2}\rangle$ $(3)$ $x^2 + (b_{5} \pi^3 + a_{3} \pi^2) x + c_{6} \pi^4 + \pi$ $8$ $0$ $240$
2.1.4.9a1.3-4.2.16a $2$ $8$ $4$ $2$ $16$ 2.1.4.9a1.3 $[2, 3, \frac{7}{2}]$ $[3]$ $\langle\frac{3}{2}\rangle$ $(3)$ $x^2 + (b_{5} \pi^3 + a_{3} \pi^2) x + c_{6} \pi^4 + \pi$ $8$ $0$ $240$
2.1.4.9a1.4-4.2.16a $2$ $8$ $4$ $2$ $16$ 2.1.4.9a1.4 $[2, 3, \frac{7}{2}]$ $[3]$ $\langle\frac{3}{2}\rangle$ $(3)$ $x^2 + (b_{5} \pi^3 + a_{3} \pi^2) x + c_{6} \pi^4 + \pi$ $8$ $0$ $240$
2.1.4.9a1.5-4.2.16a $2$ $8$ $4$ $2$ $16$ 2.1.4.9a1.5 $[2, 3, \frac{7}{2}]$ $[3]$ $\langle\frac{3}{2}\rangle$ $(3)$ $x^2 + (b_{5} \pi^3 + a_{3} \pi^2) x + c_{6} \pi^4 + \pi$ $8$ $0$ $240$
2.1.4.9a1.6-4.2.16a $2$ $8$ $4$ $2$ $16$ 2.1.4.9a1.6 $[2, 3, \frac{7}{2}]$ $[3]$ $\langle\frac{3}{2}\rangle$ $(3)$ $x^2 + (b_{5} \pi^3 + a_{3} \pi^2) x + c_{6} \pi^4 + \pi$ $8$ $0$ $240$
2.1.4.9a1.7-4.2.16a $2$ $8$ $4$ $2$ $16$ 2.1.4.9a1.7 $[2, 3, \frac{7}{2}]$ $[3]$ $\langle\frac{3}{2}\rangle$ $(3)$ $x^2 + (b_{5} \pi^3 + a_{3} \pi^2) x + c_{6} \pi^4 + \pi$ $8$ $0$ $240$
2.1.4.9a1.8-4.2.16a $2$ $8$ $4$ $2$ $16$ 2.1.4.9a1.8 $[2, 3, \frac{7}{2}]$ $[3]$ $\langle\frac{3}{2}\rangle$ $(3)$ $x^2 + (b_{5} \pi^3 + a_{3} \pi^2) x + c_{6} \pi^4 + \pi$ $8$ $0$ $240$
2.1.4.10a1.1-4.2.8a $2$ $8$ $4$ $2$ $8$ 2.1.4.10a1.1 $[2, 3, \frac{7}{2}]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $8$ $0$ $15$
2.1.4.10a1.2-4.2.8a $2$ $8$ $4$ $2$ $8$ 2.1.4.10a1.2 $[2, 3, \frac{7}{2}]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $8$ $0$ $15$
2.1.4.10a1.3-4.2.8a $2$ $8$ $4$ $2$ $8$ 2.1.4.10a1.3 $[2, 3, \frac{7}{2}]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $8$ $0$ $15$
2.1.4.10a1.4-4.2.8a $2$ $8$ $4$ $2$ $8$ 2.1.4.10a1.4 $[2, 3, \frac{7}{2}]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $8$ $0$ $15$
2.1.4.10a1.5-4.2.8a $2$ $8$ $4$ $2$ $8$ 2.1.4.10a1.5 $[2, 3, \frac{7}{2}]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $8$ $0$ $15$
2.1.4.10a1.6-4.2.8a $2$ $8$ $4$ $2$ $8$ 2.1.4.10a1.6 $[2, 3, \frac{7}{2}]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $8$ $0$ $15$
2.1.4.10a1.7-4.2.8a $2$ $8$ $4$ $2$ $8$ 2.1.4.10a1.7 $[2, 3, \frac{7}{2}]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $8$ $0$ $15$
2.1.4.10a1.8-4.2.8a $2$ $8$ $4$ $2$ $8$ 2.1.4.10a1.8 $[2, 3, \frac{7}{2}]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $8$ $0$ $15$
2.4.2.8a1.1-1.4.14b $2$ $4$ $1$ $4$ $14$ 2.4.2.8a1.1 $[2, 3, \frac{7}{2}]$ $[3, 4]$ $\langle\frac{3}{2}, \frac{11}{4}\rangle$ $(3, 5)$ $x^4 + (b_{15} \pi^4 + a_{11} \pi^3) x^3 + (b_{10} \pi^3 + a_{6} \pi^2) x^2 + b_{13} \pi^4 x + c_{16} \pi^5 + c_{12} \pi^4 + \pi$ $4$ $0$ $921600$
2.4.2.8a1.2-1.4.14b $2$ $4$ $1$ $4$ $14$ 2.4.2.8a1.2 $[2, 3, \frac{7}{2}]$ $[3, 4]$ $\langle\frac{3}{2}, \frac{11}{4}\rangle$ $(3, 5)$ $x^4 + (b_{15} \pi^4 + a_{11} \pi^3) x^3 + (b_{10} \pi^3 + a_{6} \pi^2) x^2 + b_{13} \pi^4 x + c_{16} \pi^5 + c_{12} \pi^4 + \pi$ $4$ $0$ $921600$
2.4.2.8a2.1-1.4.14b $2$ $4$ $1$ $4$ $14$ 2.4.2.8a2.1 $[2, 3, \frac{7}{2}]$ $[3, 4]$ $\langle\frac{3}{2}, \frac{11}{4}\rangle$ $(3, 5)$ $x^4 + (b_{15} \pi^4 + a_{11} \pi^3) x^3 + (b_{10} \pi^3 + a_{6} \pi^2) x^2 + b_{13} \pi^4 x + c_{16} \pi^5 + c_{12} \pi^4 + \pi$ $4$ $0$ $921600$
2.4.2.8a2.2-1.4.14b $2$ $4$ $1$ $4$ $14$ 2.4.2.8a2.2 $[2, 3, \frac{7}{2}]$ $[3, 4]$ $\langle\frac{3}{2}, \frac{11}{4}\rangle$ $(3, 5)$ $x^4 + (b_{15} \pi^4 + a_{11} \pi^3) x^3 + (b_{10} \pi^3 + a_{6} \pi^2) x^2 + b_{13} \pi^4 x + c_{16} \pi^5 + c_{12} \pi^4 + \pi$ $4$ $0$ $921600$
2.4.2.8a3.1-1.4.14b $2$ $4$ $1$ $4$ $14$ 2.4.2.8a3.1 $[2, 3, \frac{7}{2}]$ $[3, 4]$ $\langle\frac{3}{2}, \frac{11}{4}\rangle$ $(3, 5)$ $x^4 + (b_{15} \pi^4 + a_{11} \pi^3) x^3 + (b_{10} \pi^3 + a_{6} \pi^2) x^2 + b_{13} \pi^4 x + c_{16} \pi^5 + c_{12} \pi^4 + \pi$ $4$ $0$ $921600$
2.4.2.8a3.2-1.4.14b $2$ $4$ $1$ $4$ $14$ 2.4.2.8a3.2 $[2, 3, \frac{7}{2}]$ $[3, 4]$ $\langle\frac{3}{2}, \frac{11}{4}\rangle$ $(3, 5)$ $x^4 + (b_{15} \pi^4 + a_{11} \pi^3) x^3 + (b_{10} \pi^3 + a_{6} \pi^2) x^2 + b_{13} \pi^4 x + c_{16} \pi^5 + c_{12} \pi^4 + \pi$ $4$ $0$ $921600$
2.4.2.8a4.1-1.4.14b $2$ $4$ $1$ $4$ $14$ 2.4.2.8a4.1 $[2, 3, \frac{7}{2}]$ $[3, 4]$ $\langle\frac{3}{2}, \frac{11}{4}\rangle$ $(3, 5)$ $x^4 + (b_{15} \pi^4 + a_{11} \pi^3) x^3 + (b_{10} \pi^3 + a_{6} \pi^2) x^2 + b_{13} \pi^4 x + c_{16} \pi^5 + c_{12} \pi^4 + \pi$ $4$ $0$ $921600$
2.4.2.8a4.2-1.4.14b $2$ $4$ $1$ $4$ $14$ 2.4.2.8a4.2 $[2, 3, \frac{7}{2}]$ $[3, 4]$ $\langle\frac{3}{2}, \frac{11}{4}\rangle$ $(3, 5)$ $x^4 + (b_{15} \pi^4 + a_{11} \pi^3) x^3 + (b_{10} \pi^3 + a_{6} \pi^2) x^2 + b_{13} \pi^4 x + c_{16} \pi^5 + c_{12} \pi^4 + \pi$ $4$ $0$ $921600$
2.4.2.8a5.1-1.4.14b $2$ $4$ $1$ $4$ $14$ 2.4.2.8a5.1 $[2, 3, \frac{7}{2}]$ $[3, 4]$ $\langle\frac{3}{2}, \frac{11}{4}\rangle$ $(3, 5)$ $x^4 + (b_{15} \pi^4 + a_{11} \pi^3) x^3 + (b_{10} \pi^3 + a_{6} \pi^2) x^2 + b_{13} \pi^4 x + c_{16} \pi^5 + c_{12} \pi^4 + \pi$ $4$ $0$ $921600$
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