These Thurston maps are NET maps for every choice of translation term. They are primitive and have degree 40. ALL THURSTON MULTIPLIERS c/d IN UNREDUCED FORM 0/40, 1/40, 1/20, 1/10, 1/8, 1/5, 1/4, 2/8, 2/5, 1/2, 3/5, 3/4, 1/1, 5/5 3/2, 7/4, 2/1, 3/1, 7/2, 9/2, 11/2, 6/1, 7/1, 17/2, 9/1, 11/1, 13/1, 14/1 17/1, 18/1, 19/1, 21/1, 22/1, 23/1, 26/1, 31/1, 37/1 EXCLUDED INTERVALS FOR THE HALF-SPACE COMPUTATION (-infinity,-0.503688) (-0.496365,-0.253165) (-0.246914,-0.168725) (-0.164868,-0.127053) (-0.123012,-0.115331) (-0.115008,-0.101310) (-0.098319,-0.096601) (-0.096263,-0.094235) (-0.093501,-0.092469) (-0.092052,-0.088049) (-0.087810,-0.084538) (-0.082163,-0.080959) (-0.080722,-0.079291) (-0.077740,-0.075828) (-0.074693,-0.072678) (-0.069849,-0.069677) (-0.069501,-0.068438) (-0.067279,-0.065842) (-0.064985,-0.063454) (-0.061287,-0.061155) (-0.061020,-0.060198) (-0.059300,-0.058181) (-0.057510,-0.056780) (-0.054383,-0.053729) (-0.053013,-0.052116) (-0.051578,-0.050990) (-0.049048,-0.048516) (-0.047931,-0.047197) (-0.046755,-0.046271) (-0.044666,-0.044225) (-0.043738,-0.043126) (-0.042757,-0.042352) (-0.041003,-0.040631) (-0.040220,-0.039702) (-0.037225,-0.036781) (-0.034646,-0.034261) (-0.032401,-0.032064) (-0.030429,-0.030132) (-0.028683,-0.028419) (-0.027127,-0.026891) (-0.025731,-0.025518) (-0.024472,-0.024279) (-0.023330,-0.023155) (-0.022290,-0.022130) (-0.021339,-0.021192) (-0.020465,-0.020330) ( 0.020351,0.020487 ) ( 0.021215,0.021362 ) ( 0.022155,0.022315 ) ( 0.023182,0.023358 ) ( 0.024309,0.024502 ) ( 0.025552,0.025765 ) ( 0.026928,0.027165 ) ( 0.028460,0.028726 ) ( 0.030178,0.030476 ) ( 0.032117,0.032455 ) ( 0.034321,0.034708 ) ( 0.036851,0.037296 ) ( 0.039783,0.040303 ) ( 0.040631,0.041003 ) ( 0.042352,0.042757 ) ( 0.043222,0.043836 ) ( 0.044225,0.044666 ) ( 0.046271,0.046755 ) ( 0.047311,0.048049 ) ( 0.048516,0.049048 ) ( 0.050990,0.051578 ) ( 0.052256,0.053157 ) ( 0.053729,0.054383 ) ( 0.056780,0.057510 ) ( 0.058355,0.059481 ) ( 0.060198,0.061574 ) ( 0.063762,0.063905 ) ( 0.064054,0.064985 ) ( 0.066065,0.067512 ) ( 0.068438,0.070222 ) ( 0.073081,0.073270 ) ( 0.073466,0.074693 ) ( 0.076124,0.078051 ) ( 0.079291,0.082163 ) ( 0.084538,0.085851 ) ( 0.086119,0.087810 ) ( 0.088457,0.089401 ) ( 0.089795,0.093961 ) ( 0.094235,0.098319 ) ( 0.101310,0.107189 ) ( 0.107470,0.123012 ) ( 0.127053,0.136439 ) ( 0.136894,0.164658 ) ( 0.168504,0.246914 ) ( 0.253165,0.496365 ) ( 0.503688,infinity ) 1/0 is the slope of a Thurston obstruction with c = 1 and d = 1. These NET maps are not rational. SLOPE FUNCTION INFORMATION NUMBER OF FIXED POINTS: 1 EQUATOR? FIXED POINT c d 0 lambda1 lambda2 lambda1+lambda2 1/0 1 1 No No No No NUMBER OF EQUATORS: 0 0 0 0 There are no more slope function fixed points. Number of excluded intervals computed by the fixed point finder: 1730 No nontrivial cycles were found. The slope function maps some slope to the nonslope. If the slope function maps slope s to a slope s' and if the intersection pairing of s with 1/0 is n, then the intersection pairing of s' with 1/0 is at most n. The slope function orbit of every slope whose intersection pairing with 1/0 is at most 50 ends in either the nonslope or one of the slopes described above. FUNDAMENTAL GROUP WREATH RECURSIONS When the translation term of the affine map is 0: NewSphereMachine( "a=(1,39)(2,38)(3,37)(4,36)(5,35)(6,34)(7,33)(8,32)(9,31)(10,30)(11,29)(12,28)(13,27)(14,26)(15,25)(16,24)(17,23)(18,22)(19,21)", "b=(1,40)(2,39)(3,38)(4,37)(5,36)(6,35)(7,34)(8,33)(9,32)(10,31)(11,30)(12,29)(13,28)(14,27)(15,26)(16,25)(17,24)(18,23)(19,22)(20,21)", "c=(1,40)(2,39)(3,38)(4,37)(5,36)(6,35)(7,34)(8,33)(9,32)(10,31)(11,30)(12,29)(13,28)(14,27)(15,26)(16,25)(17,24)(18,23)(19,22)(20,21)", "d=(1,39)(2,38)(3,37)(4,36)(5,35)(6,34)(7,33)(8,32)(9,31)(10,30)(11,29)(12,28)(13,27)(14,26)(15,25)(16,24)(17,23)(18,22)(19,21)", "a*b*c*d"); When the translation term of the affine map is lambda1: NewSphereMachine( "a=(1,2)(3,40)(4,39)(5,38)(6,37)(7,36)(8,35)(9,34)(10,33)(11,32)(12,31)(13,30)(14,29)(15,28)(16,27)(17,26)(18,25)(19,24)(20,23)(21,22)", "b=<1,b,b,b,b,b,b,b,b,b,b,b,b,b,b,b,b,b,b,b,b,b^-1,b^-1,b^-1,b^-1,b^-1,b^-1,b^-1,b^-1,b^-1,b^-1,b^-1,b^-1,b^-1,b^-1,b^-1,b^-1,b^-1,b^-1,b^-1>(2,40)(3,39)(4,38)(5,37)(6,36)(7,35)(8,34)(9,33)(10,32)(11,31)(12,30)(13,29)(14,28)(15,27)(16,26)(17,25)(18,24)(19,23)(20,22)", "c=(2,40)(3,39)(4,38)(5,37)(6,36)(7,35)(8,34)(9,33)(10,32)(11,31)(12,30)(13,29)(14,28)(15,27)(16,26)(17,25)(18,24)(19,23)(20,22)", "d=(1,2)(3,40)(4,39)(5,38)(6,37)(7,36)(8,35)(9,34)(10,33)(11,32)(12,31)(13,30)(14,29)(15,28)(16,27)(17,26)(18,25)(19,24)(20,23)(21,22)", "a*b*c*d"); When the translation term of the affine map is lambda2: NewSphereMachine( "a=(2,40)(3,39)(4,38)(5,37)(6,36)(7,35)(8,34)(9,33)(10,32)(11,31)(12,30)(13,29)(14,28)(15,27)(16,26)(17,25)(18,24)(19,23)(20,22)", "b=(1,40)(2,39)(3,38)(4,37)(5,36)(6,35)(7,34)(8,33)(9,32)(10,31)(11,30)(12,29)(13,28)(14,27)(15,26)(16,25)(17,24)(18,23)(19,22)(20,21)", "c=(1,40)(2,39)(3,38)(4,37)(5,36)(6,35)(7,34)(8,33)(9,32)(10,31)(11,30)(12,29)(13,28)(14,27)(15,26)(16,25)(17,24)(18,23)(19,22)(20,21)", "d=<1,b^-1*c^-1,b^-1,b^-1,b^-1,b^-1,b^-1,b^-1,b^-1,b^-1,b^-1,b^-1,b^-1,b^-1,b^-1,b^-1,b^-1,b^-1,b^-1,b^-1,b,b,b,b,b,b,b,b,b,b,b,b,b,b,b,b,b,b,b,c*b>(2,40)(3,39)(4,38)(5,37)(6,36)(7,35)(8,34)(9,33)(10,32)(11,31)(12,30)(13,29)(14,28)(15,27)(16,26)(17,25)(18,24)(19,23)(20,22)", "a*b*c*d"); When the translation term of the affine map is lambda1+lambda2: NewSphereMachine( "a=(1,40)(2,39)(3,38)(4,37)(5,36)(6,35)(7,34)(8,33)(9,32)(10,31)(11,30)(12,29)(13,28)(14,27)(15,26)(16,25)(17,24)(18,23)(19,22)(20,21)", "b=(2,40)(3,39)(4,38)(5,37)(6,36)(7,35)(8,34)(9,33)(10,32)(11,31)(12,30)(13,29)(14,28)(15,27)(16,26)(17,25)(18,24)(19,23)(20,22)", "c=<1,b,b,b,b,b,b,b,b,b,b,b,b,b,b,b,b,b,b,b,b,b^-1,b^-1,b^-1,b^-1,b^-1,b^-1,b^-1,b^-1,b^-1,b^-1,b^-1,b^-1,b^-1,b^-1,b^-1,b^-1,b^-1,b^-1,b^-1>(2,40)(3,39)(4,38)(5,37)(6,36)(7,35)(8,34)(9,33)(10,32)(11,31)(12,30)(13,29)(14,28)(15,27)(16,26)(17,25)(18,24)(19,23)(20,22)", "d=(1,40)(2,39)(3,38)(4,37)(5,36)(6,35)(7,34)(8,33)(9,32)(10,31)(11,30)(12,29)(13,28)(14,27)(15,26)(16,25)(17,24)(18,23)(19,22)(20,21)", "a*b*c*d");