q=2: hand formulas s1..s4 (True, True, True, True); exact n<=80: ('range', 2, -6, 1); genus-1 factor has non-real roots (a=q<2sqrt q): outside the family's range
q=3: hand formulas s1..s4 (True, True, True, True); exact n<=80: ('range', 2, -7, 3); genus-1 factor has non-real roots (a=q<2sqrt q): outside the family's range
q=4: hand formulas s1..s4 (True, True, True, True); exact n<=80: ('range', 2, -7, 6); A=2.0000 R=2.5616 R/A=1.2808; tail n in (80,400]: min normalised lower margin -39029004477719295346759287347441592422105088.0000, upper margin 1.0000
q=5: hand formulas s1..s4 (True, True, True, True); exact n<=80: ('range', 2, -6, 10); A=3.6180 R=2.7913 R/A=0.7715; tail n in (80,400]: min normalised lower margin 1.0000, upper margin 1.0000
q=7: hand formulas s1..s4 (True, True, True, True); exact n<=80: ('range', 2, -1, 21); A=5.7913 R=3.1926 R/A=0.5513; tail n in (80,400]: min normalised lower margin 1.0000, upper margin 1.0000
q=8: hand formulas s1..s4 (True, True, True, True); exact n<=80: OK; A=6.8284 R=3.3723 R/A=0.4939; tail n in (80,400]: min normalised lower margin 1.0000, upper margin 1.0000
q=9: hand formulas s1..s4 (True, True, True, True); exact n<=80: OK; A=7.8541 R=3.5414 R/A=0.4509; tail n in (80,400]: min normalised lower margin 1.0000, upper margin 1.0000
q=11: hand formulas s1..s4 (True, True, True, True); exact n<=80: OK; A=9.8875 R=3.8541 R/A=0.3898; tail n in (80,400]: min normalised lower margin 1.0000, upper margin 0.9998
q=13: hand formulas s1..s4 (True, True, True, True); exact n<=80: OK; A=11.9083 R=4.1401 R/A=0.3477; tail n in (80,400]: min normalised lower margin 1.0000, upper margin 0.9992
q=16: hand formulas s1..s4 (True, True, True, True); exact n<=80: OK; A=14.9282 R=4.5311 R/A=0.3035; tail n in (80,400]: min normalised lower margin 1.0000, upper margin 0.9964
q=17: hand formulas s1..s4 (True, True, True, True); exact n<=80: OK; A=15.9330 R=4.6533 R/A=0.2921; tail n in (80,400]: min normalised lower margin 1.0000, upper margin 0.9948
q=19: hand formulas s1..s4 (True, True, True, True); exact n<=80: OK; A=17.9410 R=4.8875 R/A=0.2724; tail n in (80,400]: min normalised lower margin 1.0000, upper margin 0.9904
q=23: hand formulas s1..s4 (True, True, True, True); exact n<=80: OK; A=21.9523 R=5.3218 R/A=0.2424; tail n in (80,400]: min normalised lower margin 1.0000, upper margin 0.9771
q=25: hand formulas s1..s4 (True, True, True, True); exact n<=80: OK; A=23.9564 R=5.5249 R/A=0.2306; tail n in (80,400]: min normalised lower margin 1.0000, upper margin 0.9684
q=27: hand formulas s1..s4 (True, True, True, True); exact n<=80: OK; A=25.9599 R=5.7202 R/A=0.2203; tail n in (80,400]: min normalised lower margin 1.0000, upper margin 0.9585
q=29: hand formulas s1..s4 (True, True, True, True); exact n<=80: OK; A=27.9629 R=5.9083 R/A=0.2113; tail n in (80,400]: min normalised lower margin 1.0000, upper margin 0.9476
q=31: hand formulas s1..s4 (True, True, True, True); exact n<=80: OK; A=29.9655 R=6.0902 R/A=0.2032; tail n in (80,400]: min normalised lower margin 1.0000, upper margin 0.9360
q=32: hand formulas s1..s4 (True, True, True, True); exact n<=80: OK; A=30.9666 R=6.1789 R/A=0.1995; tail n in (80,400]: min normalised lower margin 1.0000, upper margin 0.9300
