NET maps

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

Class 1 Class 2 Class 3 Class 4 Class 5 Class 6 Class 7 Class 8 Class 9 Class 10
Class 11 Class 12 Class 13 Class 14 Class 15 Class 16 Class 17 Class 18 Class 19 Class 20
Class 21 Class 22 Class 23 Class 24 Class 25 Class 26 Class 27 Class 28 Class 29 Class 30
Class 31 Class 32 Class 33 Class 34 Class 35 Class 36 Class 37 Class 38 Class 39 Class 40
Class 41 Class 42 Class 43

m=3 n=3 Hurwitz Class 1

m=3 n=3 Hurwitz Class 2

m=3 n=3 Hurwitz Class 3

m=3 n=3 Hurwitz Class 4

m=3 n=3 Hurwitz Class 5

m=3 n=3 Hurwitz Class 6

m=3 n=3 Hurwitz Class 7

m=3 n=3 Hurwitz Class 8

m=3 n=3 Hurwitz Class 9

m=3 n=3 Hurwitz Class 10

m=3 n=3 Hurwitz Class 11

m=3 n=3 Hurwitz Class 12

m=3 n=3 Hurwitz Class 13

m=3 n=3 Hurwitz Class 14

m=3 n=3 Hurwitz Class 15

m=3 n=3 Hurwitz Class 16

m=3 n=3 Hurwitz Class 17

m=3 n=3 Hurwitz Class 18

m=3 n=3 Hurwitz Class 19

m=3 n=3 Hurwitz Class 20

m=3 n=3 Hurwitz Class 21

m=3 n=3 Hurwitz Class 22

m=3 n=3 Hurwitz Class 23

m=3 n=3 Hurwitz Class 24

m=3 n=3 Hurwitz Class 25

m=3 n=3 Hurwitz Class 26

m=3 n=3 Hurwitz Class 27

m=3 n=3 Hurwitz Class 28

m=3 n=3 Hurwitz Class 29

m=3 n=3 Hurwitz Class 30

m=3 n=3 Hurwitz Class 31

m=3 n=3 Hurwitz Class 32

m=3 n=3 Hurwitz Class 33

m=3 n=3 Hurwitz Class 34

m=3 n=3 Hurwitz Class 35

m=3 n=3 Hurwitz Class 36

m=3 n=3 Hurwitz Class 37

m=3 n=3 Hurwitz Class 38

m=3 n=3 Hurwitz Class 39

m=3 n=3 Hurwitz Class 40

m=3 n=3 Hurwitz Class 41

m=3 n=3 Hurwitz Class 42

m=3 n=3 Hurwitz Class 43