Home Follow the rabbit Papers Software NET map documentation Thanks Gallery of pullback maps NET maps of degree 2 Dynamic portraits

Notes Nontrivial cycles Rationality degree 2 (16 portraits) degree 3 (94 portraits) degree 4 (272 portraits) degree 5 (144 portraits) degree 6 (338 portraits) degree 7 (152 portraits) degree 8 (476 portraits) degree 9 (153 portraits) degree 10 (353 portraits) degree 11 (153 portraits) degree 12 (483 portraits) degree 13 (153 portraits) degree 14 (353 portraits) degree 15 (153 portraits) degree 16 (483 portraits) degree 17 (153 portraits) degree 18 (353 portraits) degree 19 (153 portraits) degree 20 (483 portraits) degree 21 (153 portraits) degree 22 (353 portraits) degree 23 (153 portraits) degree 24 (483 portraits) degree 25 (153 portraits) degree 26 (353 portraits) degree 27 (153 portraits) degree 28 (483 portraits) degree 29 (153 portraits) degree 30 (353 portraits) degree 31 (153 portraits) degree 32 (483 portraits) degree 33 (153 portraits) degree 34 (353 portraits) degree 35 (153 portraits) degree 36 (483 portraits) degree 37 (153 portraits) degree 38 (353 portraits) degree 39 (153 portraits) degree 40 (483 portraits)

Hurwitz classes

Notes m=2, n=1 (4 classes) m=3, n=1 (9 classes) m=4, n=1 (24 classes) m=2, n=2 (10 classes) m=5, n=1 (25 classes) m=6, n=1 (88 classes) m=7, n=1 (47 classes) m=8, n=1 (133 classes) m=4, n=2 (85 classes) m=9, n=1 (120 classes) m=3, n=3 (43 classes) m=10, n=1 (269 classes) m=11, n=1 (140 classes) m=12, n=1 (618 classes) m=6, n=2 (201 classes) m=13, n=1 (228 classes) m=14, n=1 (583 classes) m=15, n=1 (646 classes) m=16, n=1 (789 classes) m=8, n=2 (503 classes) m=4, n=4 (155 classes) m=17, n=1 (469 classes) m=18, n=1 (1,544) m=6, n=3 (457) m=19, n=1 (629) m=20, n=1 (1,935) m=10, n=2 (621) m=21, n=1 (1,505) m=22, n=1 (1,902) m=23, n=1 (1,079) m=24, n=1 (3,976) m=12, n=2 (2,284) m=25, n=1 (1,678) m=5, n=5 (332) m=26, n=1 (3,037) m=27, n=1 (2,562) m=9, n=3 (1,032) m=28, n=1 (4,472) m=14, n=2 (1,384) m=29, n=1 (2,116) m=30, n=1 (8,521)

The zoo

Notes airplane corabbit rabbit Lodge's cubic Newton maps f_1/4 z² + i basilica mate basilica

Nontrivial cycles for dynamic portraits

Here are the nontrivial cycles that the program NETmap found for the dynamic portraits we ran it on. The lists were obtained by grepping the *Main.output files. NETmap was run with bound N=50, so it checked all rational numbers p/q with |p|,|q| ≤ 50.