These Thurston maps are NET maps for every choice of translation term. They have degree 26. They are imprimitive, each factoring as a NET map with degree 13 followed by a Euclidean NET map with degree 2. PURE MODULAR GROUP HURWITZ EQUIVALENCE CLASSES FOR TRANSLATIONS {0} {lambda1} {lambda2} {lambda1+lambda2} These pure modular group Hurwitz classes each contain infinitely many Thurston equivalence classes. The number of pure modular group Hurwitz classes in this modular group Hurwitz class is 12. ALL THURSTON MULTIPLIERS c/d IN UNREDUCED FORM 0/13, 0/26, 2/13, 2/2, 2/1, 4/2, 6/2, 10/2, 6/1, 10/1, 14/1, 22/1 EXCLUDED INTERVALS FOR THE HALF-SPACE COMPUTATION (-infinity,0.041967) ( 0.046989,0.049129) ( 0.050126,infinity) The half-space computation does not determine rationality. EXCLUDED INTERVALS FOR JUST THE SUPPLEMENTAL HALF-SPACE COMPUTATION INTERVAL COMPUTED FOR HST OR EXTENDED HST (0.041811,0.042600) 2/47 EXTENDED HST -> HST (0.042488,0.042767) 9/211 HST (0.042655,0.042829) 5/117 HST (0.042804,0.043071) 3/70 HST (0.043002,0.043128) 5/116 HST (0.043085,0.043275) 6/139 HST (0.043260,0.043337) 10/231 HST (0.043321,0.043375) 14/323 HST (0.043372,0.043393) 19/438 HST (0.043381,0.043414) 23/530 HST (0.043405,0.043428) 30/691 HST (0.043419,0.043439) 38/875 HST (0.043432,0.043448) 49/1128 HST (0.043442,0.043454) 62/1427 HST (0.043448,0.043506) 1/23 EXTENDED HST (0.043504,0.043517) 60/1379 HST (0.043510,0.043526) 48/1103 HST (0.043518,0.043523) 44/1011 HST (0.043522,0.043544) 35/804 HST (0.043534,0.043542) 33/758 HST (0.043536,0.043563) 27/620 HST (0.043548,0.043585) 22/505 HST (0.043567,0.043591) 20/459 HST (0.043574,0.043611) 17/390 HST (0.043593,0.043644) 14/321 HST (0.043621,0.043699) 11/252 HST (0.043654,0.043752) 9/206 HST (0.043709,0.043986) 4/91 HST (0.043929,0.044037) 15/341 HST (0.043988,0.044003) 11/250 HST (0.044007,0.044038) 7/159 HST (0.044015,0.044093) 10/227 HST (0.044090,0.044098) 28/635 HST (0.044094,0.044104) 34/771 HST (0.044099,0.044115) 49/1111 HST (0.044111,0.044124) 3/68 EXTENDED HST (0.044120,0.044131) 68/1541 HST (0.044127,0.044176) 23/521 HST (0.044148,0.044333) 5/113 HST (0.044188,0.044430) 9/203 HST (0.044381,0.045120) 2/45 EXTENDED HST -> HST (0.044916,0.045733) 7/155 HST (0.045395,0.045520) 1/22 EXTENDED HST (0.045666,0.045941) 6/131 HST (0.045841,0.045907) 5/109 HST (0.045929,0.047370) 3/65 HST (0.046501,0.046522) 2/43 EXTENDED HST (0.048557,0.051823) 3/61 HST (0.049584,0.052590) 1/20 EXTENDED HST -> HST The supplemental half-space computation shows that these NET maps are rational. SLOPE FUNCTION INFORMATION There are no slope function fixed points because every loop multiplier of the mod 2 slope correspondence graph is at least 1 and the map is rational. No nontrivial cycles were found. The slope function maps some slope to the nonslope. The slope function orbit of every slope p/q with |p| <= 50 and |q| <= 50 ends in the nonslope. If the slope function maps slope p/q to slope p'/q', then |q'| <= |q| for every slope p/q with |p| <= 50 and |q| <= 50. FUNDAMENTAL GROUP WREATH RECURSIONS When the translation term of the affine map is 0: NewSphereMachine( "a=<1,c^-1,d*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*d^-1>(2,26)(3,25)(4,24)(5,23)(6,22)(7,21)(8,20)(9,19)(10,18)(11,17)(12,16)(13,15)", "b=(1,26)(2,25)(3,24)(4,23)(5,22)(6,21)(7,20)(8,19)(9,18)(10,17)(11,16)(12,15)(13,14)", "c=<1,c^-1,c^-1,c^-1,c^-1,c^-1,c^-1,c^-1,c^-1,c^-1,c^-1,c^-1,c^-1,c,c,c,c,c,c,c,c,c,c,c,c,c>(2,26)(3,25)(4,24)(5,23)(6,22)(7,21)(8,20)(9,19)(10,18)(11,17)(12,16)(13,15)", "d=(1,2)(3,26)(4,25)(5,24)(6,23)(7,22)(8,21)(9,20)(10,19)(11,18)(12,17)(13,16)(14,15)", "a*b*c*d"); When the translation term of the affine map is lambda1: NewSphereMachine( "a=(1,26)(2,25)(3,24)(4,23)(5,22)(6,21)(7,20)(8,19)(9,18)(10,17)(11,16)(12,15)(13,14)", "b=(1,25)(2,24)(3,23)(4,22)(5,21)(6,20)(7,19)(8,18)(9,17)(10,16)(11,15)(12,14)", "c=(1,26)(2,25)(3,24)(4,23)(5,22)(6,21)(7,20)(8,19)(9,18)(10,17)(11,16)(12,15)(13,14)", "d=<1,c^-1,c^-1,c^-1,c^-1,c^-1,c^-1,c^-1,c^-1,c^-1,c^-1,c^-1,c^-1,c,c,c,c,c,c,c,c,c,c,c,c,c>(2,26)(3,25)(4,24)(5,23)(6,22)(7,21)(8,20)(9,19)(10,18)(11,17)(12,16)(13,15)", "a*b*c*d"); When the translation term of the affine map is lambda2: NewSphereMachine( "a=(1,26)(2,25)(3,24)(4,23)(5,22)(6,21)(7,20)(8,19)(9,18)(10,17)(11,16)(12,15)(13,14)", "b=<1,c^-1,c^-1,c^-1,c^-1,c^-1,c^-1,c^-1,c^-1,c^-1,c^-1,c^-1,c^-1,c,c,c,c,c,c,c,c,c,c,c,c,c>(2,26)(3,25)(4,24)(5,23)(6,22)(7,21)(8,20)(9,19)(10,18)(11,17)(12,16)(13,15)", "c=(1,26)(2,25)(3,24)(4,23)(5,22)(6,21)(7,20)(8,19)(9,18)(10,17)(11,16)(12,15)(13,14)", "d=(1,25)(2,24)(3,23)(4,22)(5,21)(6,20)(7,19)(8,18)(9,17)(10,16)(11,15)(12,14)", "a*b*c*d"); When the translation term of the affine map is lambda1+lambda2: NewSphereMachine( "a=(1,25)(2,24)(3,23)(4,22)(5,21)(6,20)(7,19)(8,18)(9,17)(10,16)(11,15)(12,14)", "b=(1,26)(2,25)(3,24)(4,23)(5,22)(6,21)(7,20)(8,19)(9,18)(10,17)(11,16)(12,15)(13,14)", "c=(1,25)(2,24)(3,23)(4,22)(5,21)(6,20)(7,19)(8,18)(9,17)(10,16)(11,15)(12,14)", "d=(1,24)(2,23)(3,22)(4,21)(5,20)(6,19)(7,18)(8,17)(9,16)(10,15)(11,14)(12,13)(25,26)", "a*b*c*d");