These Thurston maps are NET maps for every choice of translation term. They are primitive and have degree 22. PURE MODULAR GROUP HURWITZ EQUIVALENCE CLASSES FOR TRANSLATIONS {0} {lambda1} {lambda2} {lambda1+lambda2} These pure modular group Hurwitz classes each contain only finitely many Thurston equivalence classes. However, this modular group Hurwitz class contains infinitely many Thurston equivalence classes. The number of pure modular group Hurwitz classes in this modular group Hurwitz class is 24. ALL THURSTON MULTIPLIERS c/d IN UNREDUCED FORM 0/1, 0/2, 0/11, 0/22, 1/22, 1/11, 1/2, 1/1, 3/2, 2/1, 5/2, 3/1, 7/2, 9/2 5/1, 6/1, 7/1, 9/1, 10/1, 11/1 EXCLUDED INTERVALS FOR THE HALF-SPACE COMPUTATION (-infinity,-1.167478) (-1.163746,-1.160905) (-1.160325,-1.159640) (-1.154995,-1.152447) (-1.148401,-1.147801) (-1.147747,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 (-1.168224,-1.166785) -481/412 HST (-1.167471,-1.167457) -244/209 HST (-1.167223,-1.166135) -7/6 EXTENDED HST (-1.166231,-1.161966) -71/61 HST (-1.161638,-1.160229) -166/143 HST (-1.160723,-1.160706) -65/56 EXTENDED HST (-1.159821,-1.159436) -247/213 HST (-1.159605,-1.159225) -80/69 HST (-1.159403,-1.159013) -233/201 HST (-1.159105,-1.159077) -51/44 EXTENDED HST (-1.159200,-1.158695) -175/151 HST (-1.158888,-1.158566) -73/63 HST (-1.158593,-1.158531) -548/473 HST (-1.158550,-1.158388) -95/82 HST (-1.158448,-1.157261) -22/19 EXTENDED HST (-1.157339,-1.157124) -184/159 HST (-1.157167,-1.156878) -81/70 HST (-1.157103,-1.156611) -59/51 HST (-1.156996,-1.156061) -133/115 HST (-1.156277,-1.156223) -37/32 EXTENDED HST (-1.156408,-1.155658) -163/141 HST (-1.155985,-1.155090) -52/45 HST (-1.155441,-1.154647) -149/129 HST (-1.152963,-1.152096) -53/46 HST (-1.152134,-1.151656) -91/79 HST (-1.152210,-1.150989) -281/244 HST (-1.151568,-1.151462) -38/33 EXTENDED HST (-1.151026,-1.150873) -61/53 HST (-1.151071,-1.150279) -84/73 HST (-1.150333,-1.150135) -222/193 HST (-1.150203,-1.150051) -429/373 HST (-1.150068,-1.149931) -23/20 EXTENDED HST (-1.149951,-1.149802) -468/407 HST (-1.149874,-1.149684) -261/227 HST (-1.149776,-1.149059) -77/67 HST (-1.149073,-1.148985) -239/208 HST (-1.148994,-1.148974) -509/443 HST (-1.149132,-1.148821) -671/584 HST (-1.148967,-1.148905) -54/47 EXTENDED HST (-1.148834,-1.148184) -85/74 HST (-1.148665,-1.147099) -233/203 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. FUNDAMENTAL GROUP WREATH RECURSIONS When the translation term of the affine map is 0: NewSphereMachine( "a=(2,22)(3,21)(4,20)(5,19)(6,18)(7,17)(8,16)(9,15)(10,14)(11,13)", "b=(1,22)(2,21)(3,20)(4,19)(5,18)(6,17)(7,16)(8,15)(9,14)(10,13)(11,12)", "c=(1,22)(2,21)(3,20)(4,19)(5,18)(6,17)(7,16)(8,15)(9,14)(10,13)(11,12)", "d=<1,a*b,a*b,a*b,a*b,c^-1,1,1,1,1,1,1,1,1,1,1,1,c*d,c*d,c*d,c*d,c*d>(2,22)(3,21)(4,20)(5,19)(6,18)(7,17)(8,16)(9,15)(10,14)(11,13)", "a*b*c*d"); When the translation term of the affine map is lambda1: NewSphereMachine( "a=(1,2)(3,22)(4,21)(5,20)(6,19)(7,18)(8,17)(9,16)(10,15)(11,14)(12,13)", "b=(2,22)(3,21)(4,20)(5,19)(6,18)(7,17)(8,16)(9,15)(10,14)(11,13)", "c=<1,a*b,a*b,a*b,a*b,c^-1,1,1,1,1,1,1,1,1,1,1,1,c*d,c*d,c*d,c*d,c*d>(2,22)(3,21)(4,20)(5,19)(6,18)(7,17)(8,16)(9,15)(10,14)(11,13)", "d=<1,1,a*b,a*b,a*b,a*b,1,1,1,1,1,1,1,1,1,1,1,1,c*d,c*d,c*d,c*d>(1,2)(3,22)(4,21)(5,20)(6,19)(7,18)(8,17)(9,16)(10,15)(11,14)(12,13)", "a*b*c*d"); When the translation term of the affine map is lambda2: NewSphereMachine( "a=(1,21)(2,20)(3,19)(4,18)(5,17)(6,16)(7,15)(8,14)(9,13)(10,12)", "b=(1,22)(2,21)(3,20)(4,19)(5,18)(6,17)(7,16)(8,15)(9,14)(10,13)(11,12)", "c=(1,22)(2,21)(3,20)(4,19)(5,18)(6,17)(7,16)(8,15)(9,14)(10,13)(11,12)", "d=(1,21)(2,20)(3,19)(4,18)(5,17)(6,16)(7,15)(8,14)(9,13)(10,12)", "a*b*c*d"); When the translation term of the affine map is lambda1+lambda2: NewSphereMachine( "a=(1,22)(2,21)(3,20)(4,19)(5,18)(6,17)(7,16)(8,15)(9,14)(10,13)(11,12)", "b=<1,a*b,a*b,a*b,a*b,c^-1,1,1,1,1,1,1,1,1,1,1,1,c*d,c*d,c*d,c*d,c*d>(2,22)(3,21)(4,20)(5,19)(6,18)(7,17)(8,16)(9,15)(10,14)(11,13)", "c=(2,22)(3,21)(4,20)(5,19)(6,18)(7,17)(8,16)(9,15)(10,14)(11,13)", "d=(1,22)(2,21)(3,20)(4,19)(5,18)(6,17)(7,16)(8,15)(9,14)(10,13)(11,12)", "a*b*c*d");