These Thurston maps are NET maps for every choice of translation term. They are primitive and have degree 32. ALL THURSTON MULTIPLIERS c/d IN UNREDUCED FORM 0/32, 1/32, 1/16, 1/8, 1/4, 1/2, 3/4, 1/1, 5/4, 3/2, 2/1, 5/2, 3/1, 7/2 5/1, 6/1, 13/2, 7/1, 9/1, 10/1, 11/1, 13/1, 14/1, 15/1, 17/1, 18/1, 22/1 23/1, 26/1, 29/1, 30/1 EXCLUDED INTERVALS FOR THE HALF-SPACE COMPUTATION (-infinity,-1.006050) (-0.994023,-0.335475) (-0.331219,-0.202703) (-0.197368,-0.177083) (-0.176628,-0.157769) (-0.157118,-0.155392) (-0.155172,-0.152086) (-0.151338,-0.145298) (-0.140497,-0.135277) (-0.134615,-0.132353) (-0.132194,-0.130970) (-0.130521,-0.119927) (-0.119551,-0.118549) (-0.118421,-0.116667) (-0.116174,-0.113182) (-0.109115,-0.106471) (-0.106061,-0.104651) (-0.104552,-0.103784) (-0.103502,-0.096727) (-0.095745,-0.094595) (-0.094271,-0.092398) (-0.089467,-0.087779) (-0.087500,-0.086538) (-0.085751,-0.081048) (-0.080357,-0.079545) (-0.079316,-0.078582) (-0.075333,-0.074670) (-0.074468,-0.073770) (-0.072342,-0.070538) (-0.069231,-0.068627) (-0.068457,-0.067909) (-0.065469,-0.064968) (-0.064815,-0.064286) (-0.063198,-0.061817) (-0.060811,-0.060345) (-0.060213,-0.059789) (-0.057377,-0.056962) (-0.056107,-0.055015) (-0.054217,-0.053846) (-0.051471,-0.051136) (-0.050446,-0.049562) (-0.048913,-0.048611) (-0.046667,-0.046392) (-0.045823,-0.045092) (-0.044554,-0.044304) (-0.042683,-0.042453) (-0.041976,-0.041362) (-0.040909,-0.040698) (-0.038725,-0.038202) (-0.035941,-0.035490) (-0.033531,-0.033138) (-0.031424,-0.031078) (-0.029565,-0.029260) (-0.027915,-0.027642) (-0.026439,-0.026194) (-0.025111,-0.024890) (-0.023910,-0.023710) (-0.022819,-0.022636) (-0.021823,-0.021656) (-0.020910,-0.020757) (-0.020071,-0.019930) ( 0.019930,0.020071 ) ( 0.020757,0.020910 ) ( 0.021656,0.021823 ) ( 0.022636,0.022819 ) ( 0.023710,0.023910 ) ( 0.024890,0.025111 ) ( 0.026194,0.026439 ) ( 0.027642,0.027915 ) ( 0.029260,0.029565 ) ( 0.031078,0.031424 ) ( 0.033138,0.033531 ) ( 0.035490,0.035941 ) ( 0.038202,0.038725 ) ( 0.040698,0.040909 ) ( 0.041362,0.041976 ) ( 0.042453,0.042683 ) ( 0.044304,0.044554 ) ( 0.045092,0.045823 ) ( 0.046392,0.046667 ) ( 0.048611,0.048913 ) ( 0.049562,0.050446 ) ( 0.051136,0.051471 ) ( 0.053846,0.054217 ) ( 0.055015,0.056107 ) ( 0.056962,0.057377 ) ( 0.059789,0.060213 ) ( 0.060345,0.060811 ) ( 0.061817,0.063198 ) ( 0.064286,0.064815 ) ( 0.064968,0.065469 ) ( 0.067909,0.068457 ) ( 0.068627,0.069231 ) ( 0.070538,0.072342 ) ( 0.073770,0.074468 ) ( 0.074670,0.075333 ) ( 0.078582,0.079316 ) ( 0.079545,0.080357 ) ( 0.081048,0.085751 ) ( 0.086538,0.087500 ) ( 0.087779,0.089467 ) ( 0.092398,0.094271 ) ( 0.094595,0.095745 ) ( 0.096727,0.103502 ) ( 0.103784,0.104552 ) ( 0.104651,0.106061 ) ( 0.106471,0.109115 ) ( 0.113182,0.116174 ) ( 0.116667,0.118421 ) ( 0.118549,0.119551 ) ( 0.119927,0.130521 ) ( 0.130970,0.132194 ) ( 0.132353,0.134615 ) ( 0.135277,0.140497 ) ( 0.145298,0.151338 ) ( 0.152086,0.155172 ) ( 0.155392,0.157118 ) ( 0.157769,0.176628 ) ( 0.177083,0.197368 ) ( 0.202703,0.331219 ) ( 0.335475,0.994023 ) ( 1.006050,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: 1856 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=(1,31)(2,30)(3,29)(4,28)(5,27)(6,26)(7,25)(8,24)(9,23)(10,22)(11,21)(12,20)(13,19)(14,18)(15,17)", "b=(1,32)(2,31)(3,30)(4,29)(5,28)(6,27)(7,26)(8,25)(9,24)(10,23)(11,22)(12,21)(13,20)(14,19)(15,18)(16,17)", "c=(1,32)(2,31)(3,30)(4,29)(5,28)(6,27)(7,26)(8,25)(9,24)(10,23)(11,22)(12,21)(13,20)(14,19)(15,18)(16,17)", "d=(1,31)(2,30)(3,29)(4,28)(5,27)(6,26)(7,25)(8,24)(9,23)(10,22)(11,21)(12,20)(13,19)(14,18)(15,17)", "a*b*c*d"); When the translation term of the affine map is lambda1: NewSphereMachine( "a=(1,2)(3,32)(4,31)(5,30)(6,29)(7,28)(8,27)(9,26)(10,25)(11,24)(12,23)(13,22)(14,21)(15,20)(16,19)(17,18)", "b=<1,b,c^-1*b,c^-1*b,c^-1*b,c^-1*b,c^-1*b,c^-1*b,c^-1*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*c,b^-1*c,b^-1*c,b^-1*c,b^-1*c,b^-1*c,b^-1*c,b^-1*c>(2,32)(3,31)(4,30)(5,29)(6,28)(7,27)(8,26)(9,25)(10,24)(11,23)(12,22)(13,21)(14,20)(15,19)(16,18)", "c=(2,32)(3,31)(4,30)(5,29)(6,28)(7,27)(8,26)(9,25)(10,24)(11,23)(12,22)(13,21)(14,20)(15,19)(16,18)", "d=(1,2)(3,32)(4,31)(5,30)(6,29)(7,28)(8,27)(9,26)(10,25)(11,24)(12,23)(13,22)(14,21)(15,20)(16,19)(17,18)", "a*b*c*d"); When the translation term of the affine map is lambda2: NewSphereMachine( "a=(2,32)(3,31)(4,30)(5,29)(6,28)(7,27)(8,26)(9,25)(10,24)(11,23)(12,22)(13,21)(14,20)(15,19)(16,18)", "b=(1,32)(2,31)(3,30)(4,29)(5,28)(6,27)(7,26)(8,25)(9,24)(10,23)(11,22)(12,21)(13,20)(14,19)(15,18)(16,17)", "c=(1,32)(2,31)(3,30)(4,29)(5,28)(6,27)(7,26)(8,25)(9,24)(10,23)(11,22)(12,21)(13,20)(14,19)(15,18)(16,17)", "d=<1,d*a,d*a,d*a,d*a,d*a,d*a,d*a,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*c,b*c,b*c,b*c,b*c,b*c,c*b*c>(2,32)(3,31)(4,30)(5,29)(6,28)(7,27)(8,26)(9,25)(10,24)(11,23)(12,22)(13,21)(14,20)(15,19)(16,18)", "a*b*c*d"); When the translation term of the affine map is lambda1+lambda2: NewSphereMachine( "a=(1,32)(2,31)(3,30)(4,29)(5,28)(6,27)(7,26)(8,25)(9,24)(10,23)(11,22)(12,21)(13,20)(14,19)(15,18)(16,17)", "b=(2,32)(3,31)(4,30)(5,29)(6,28)(7,27)(8,26)(9,25)(10,24)(11,23)(12,22)(13,21)(14,20)(15,19)(16,18)", "c=<1,b,c^-1*b,c^-1*b,c^-1*b,c^-1*b,c^-1*b,c^-1*b,c^-1*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*c,b^-1*c,b^-1*c,b^-1*c,b^-1*c,b^-1*c,b^-1*c,b^-1*c>(2,32)(3,31)(4,30)(5,29)(6,28)(7,27)(8,26)(9,25)(10,24)(11,23)(12,22)(13,21)(14,20)(15,19)(16,18)", "d=(1,32)(2,31)(3,30)(4,29)(5,28)(6,27)(7,26)(8,25)(9,24)(10,23)(11,22)(12,21)(13,20)(14,19)(15,18)(16,17)", "a*b*c*d");