These Thurston maps are NET maps for every choice of translation term. They are primitive and have degree 34. ALL THURSTON MULTIPLIERS c/d IN UNREDUCED FORM 0/1, 0/17, 0/34, 1/2, 1/1, 2/2, 3/2, 4/2, 5/2, 3/1, 4/1, 5/1, 7/1, 8/1, 9/1 11/1, 13/1, 19/1, 25/1, 31/1 EXCLUDED INTERVALS FOR THE HALF-SPACE COMPUTATION (-3.025423,-1.191018) (-1.190171,-1.164611) (-1.157411,-1.137984) (-1.125000,-1.111111) (-1.092972,-1.083958) (-1.061376,-1.056474) (-1.030303,-1.028571) (-0.971429,-0.969697) (-0.943526,-0.938624) (-0.916042,-0.907028) (-0.888889,-0.875000) (-0.862016,-0.842589) (-0.835389,-0.809829) (-0.808982,-0.508988) (-0.491012,-0.191018) (-0.190171,-0.164611) (-0.157411,-0.137984) (-0.125000,-0.111111) (-0.092972,-0.083958) (-0.061376,-0.056474) (-0.030303,-0.028571) ( 0.028571,0.030303 ) ( 0.056474,0.061376 ) ( 0.083958,0.092972 ) ( 0.111111,0.125000 ) ( 0.137984,0.157411 ) ( 0.164611,0.190171 ) ( 0.191018,3.125000 ) The half-space computation does not determine rationality. EXCLUDED INTERVALS FOR JUST THE SUPPLEMENTAL HALF-SPACE COMPUTATION INTERVAL COMPUTED FOR HST OR EXTENDED HST (-17.004548,-16.993503) -17407/1024 HST (-18.316454,-15.369410) -50/3 EXTENDED HST -> HST (-16.633019,-15.304589) -16/1 EXTENDED HST -> HST (-15.546219,-14.384456) -15/1 EXTENDED HST -> HST (-14.546219,-13.384456) -14/1 EXTENDED HST -> HST (-13.459420,-12.464323) -13/1 EXTENDED HST -> HST (-13.011808,-11.972594) -162/13 HST (-12.459420,-11.464323) -12/1 EXTENDED HST -> HST (-12.220104,-10.712070) -57/5 HST (-11.372621,-10.544190) -11/1 EXTENDED HST -> HST (-11.414591,-9.471971 ) -21/2 EXTENDED HST -> HST (-10.372621,-9.544190 ) -10/1 EXTENDED HST -> HST (-10.144644,-8.588340 ) -28/3 EXTENDED HST -> HST ( -9.285821,-8.624057 ) -9/1 EXTENDED HST -> HST ( -9.209500,-7.642158 ) -17/2 EXTENDED HST -> HST ( -8.285821,-7.624057 ) -8/1 EXTENDED HST -> HST ( -8.004408,-6.812346 ) -15/2 EXTENDED HST -> HST ( -7.199022,-6.703924 ) -7/1 EXTENDED HST -> HST ( -7.004408,-5.812346 ) -13/2 EXTENDED HST -> HST ( -6.199022,-5.703924 ) -6/1 EXTENDED HST -> HST ( -5.799317,-4.982533 ) -11/2 EXTENDED HST -> HST ( -5.112222,-4.783791 ) -5/1 EXTENDED HST -> HST ( -4.799317,-3.982533 ) -9/2 EXTENDED HST -> HST ( -4.112222,-3.783791 ) -4/1 EXTENDED HST -> HST ( -4.085905,-3.390535 ) -11/3 EXTENDED HST -> HST ( -3.594225,-3.152721 ) -7/2 EXTENDED HST -> HST ( -3.250000,-3.000000 ) -22/7 EXTENDED HST -> HST ( -1.198203,-1.178432 ) -25/21 EXTENDED HST -> HST ( -1.169492,-1.150000 ) -29/25 EXTENDED HST -> HST ( -1.159068,-1.154718 ) -22/19 EXTENDED HST -> HST ( -1.141235,-1.127753 ) -17/15 EXTENDED HST -> HST ( -1.131086,-1.124012 ) -53/47 HST ( -1.125343,-1.124658 ) -9/8 EXTENDED HST ( -1.111207,-1.111016 ) -10/9 EXTENDED HST ( -1.115159,-1.096759 ) -21/19 EXTENDED HST -> HST ( -1.101176,-1.095091 ) -11/10 EXTENDED HST -> HST ( -1.102075,-1.088060 ) -173/158 HST ( -1.094907,-1.093341 ) -35/32 EXTENDED HST -> HST ( -1.095306,-1.072990 ) -155/143 HST ( -1.083689,-1.082981 ) -13/12 EXTENDED HST ( -1.075840,-1.068978 ) -59/55 HST ( -1.071926,-1.069299 ) -15/14 EXTENDED HST -> HST ( -1.070455,-1.066892 ) -31/29 EXTENDED HST -> HST ( -1.068407,-1.065392 ) -319/299 HST ( -1.066782,-1.066552 ) -16/15 EXTENDED HST ( -1.073956,-1.056899 ) -17/16 EXTENDED HST -> HST ( -1.060555,-1.052012 ) -75/71 HST ( -1.055684,-1.055427 ) -19/18 EXTENDED HST ( -1.055556,-1.048276 ) -61/58 HST ( -1.051297,-1.051267 ) -41/39 EXTENDED HST ( -1.050118,-1.047968 ) -21/20 EXTENDED HST -> HST ( -1.051553,-1.044333 ) -153/146 HST ( -1.047855,-1.046289 ) -22/21 EXTENDED HST -> HST ( -1.046365,-1.040796 ) -71/68 HST ( -1.043500,-1.043456 ) -24/23 EXTENDED HST ( -1.044065,-1.037405 ) -77/74 HST ( -1.040025,-1.039975 ) -26/25 EXTENDED HST ( -1.037680,-1.037190 ) -111/107 HST ( -1.042254,-1.032099 ) -279/269 HST ( -1.037062,-1.037012 ) -28/27 EXTENDED HST ( -1.033671,-1.028625 ) -34/33 EXTENDED HST -> HST ( -1.030119,-1.025619 ) -36/35 EXTENDED HST -> HST ( -1.025632,-1.025350 ) -161/157 HST ( -1.025472,-1.024953 ) -41/40 EXTENDED HST -> HST ( -1.027425,-1.021926 ) -83/81 HST ( -1.024401,-1.024380 ) -42/41 EXTENDED HST ( -1.024283,-1.019426 ) -140/137 HST ( -1.021754,-1.021590 ) -47/46 EXTENDED HST -> HST ( -1.021349,-1.016613 ) -53/52 HST ( -1.019021,-1.014173 ) -123/121 HST ( -1.016460,-1.016221 ) -62/61 HST ( -1.015029,-1.013318 ) -1145/1129 HST ( -1.014170,-1.014065 ) -72/71 HST ( -1.013850,-1.012663 ) -153/151 HST ( -1.013162,-1.013154 ) -77/76 EXTENDED HST ( -1.012697,-1.012514 ) -80/79 HST ( -1.014070,-1.010966 ) -971/959 HST ( -1.012508,-1.012492 ) -81/80 EXTENDED HST ( -1.012563,-1.009376 ) -369/365 HST ( -1.010955,-1.010933 ) -277/274 HST ( -1.010931,-1.010856 ) -93/92 HST ( -1.010740,-1.008019 ) -323/320 HST ( -1.009347,-1.009344 ) -108/107 EXTENDED HST ( -1.008059,-1.007984 ) -126/125 HST ( -1.009147,-1.006832 ) -505/501 HST ( -1.007982,-1.007970 ) -379/376 HST ( -1.007969,-1.007929 ) -127/126 HST ( -1.006855,-1.006825 ) -295/293 HST ( -1.007288,-1.006362 ) -2213/2198 HST ( -1.006824,-1.006816 ) -443/440 HST ( -1.006814,-1.006761 ) -148/147 HST ( -1.006374,-1.006345 ) -317/315 HST ( -1.006356,-1.006332 ) -476/473 HST ( -1.006342,-1.006328 ) -159/158 HST ( -1.006598,-1.006036 ) -319/317 HST ( -1.006290,-1.006289 ) -160/159 EXTENDED HST ( -1.006046,-1.006020 ) -167/166 HST ( -1.006540,-1.005482 ) -669/665 HST ( -1.006014,-1.005991 ) -335/333 HST ( -1.005989,-1.005987 ) -168/167 EXTENDED HST ( -1.005483,-1.005461 ) -184/183 HST ( -1.005855,-1.005066 ) -1289/1282 HST ( -1.005460,-1.005433 ) -185/184 HST ( -1.005083,-1.005060 ) -397/395 HST ( -1.005062,-1.005058 ) -596/593 HST ( -1.005325,-1.004790 ) -795/791 HST ( -1.005052,-1.005032 ) -199/198 HST ( -1.004797,-1.004779 ) -210/209 HST ( -1.004990,-1.004565 ) -841/837 HST ( -1.004779,-1.004760 ) -211/210 HST ( -1.005121,-1.003999 ) -221/220 HST ( -1.004246,-0.995790 ) -1/1 EXTENDED HST ( -0.995996,-0.994884 ) -219/220 HST ( -0.995434,-0.995433 ) -218/219 EXTENDED HST ( -0.995422,-0.995411 ) -217/218 HST ( -0.995394,-0.995379 ) -216/217 HST ( -0.995371,-0.995369 ) -215/216 EXTENDED HST ( -0.995368,-0.995344 ) -214/215 HST ( -0.995347,-0.994055 ) -187/188 HST ( -0.994673,-0.994632 ) -186/187 HST ( -0.994625,-0.994622 ) -185/186 EXTENDED HST ( -0.994595,-0.994594 ) -184/185 EXTENDED HST ( -0.994567,-0.994540 ) -183/184 HST ( -0.994539,-0.994517 ) -182/183 HST ( -0.994515,-0.994505 ) -181/182 HST ( -0.994475,-0.994475 ) -180/181 EXTENDED HST ( -0.994460,-0.994441 ) -179/180 HST ( -0.994414,-0.994413 ) -178/179 EXTENDED HST ( -0.994382,-0.994382 ) -177/178 EXTENDED HST ( -0.994351,-0.994350 ) -176/177 EXTENDED HST ( -0.994321,-0.994294 ) -175/176 HST ( -0.994286,-0.994285 ) -174/175 EXTENDED HST ( -0.994273,-0.994249 ) -173/174 HST ( -0.994220,-0.994219 ) -172/173 EXTENDED HST ( -0.994195,-0.992587 ) -151/152 HST ( -0.993379,-0.993376 ) -150/151 EXTENDED HST ( -0.993352,-0.993329 ) -149/150 HST ( -0.993293,-0.993261 ) -148/149 HST ( -0.993246,-0.993241 ) -147/148 EXTENDED HST ( -0.993239,-0.993186 ) -146/147 HST ( -0.993175,-0.993145 ) -145/146 HST ( -0.993104,-0.993103 ) -144/145 EXTENDED HST ( -0.993057,-0.993054 ) -143/144 EXTENDED HST ( -0.993019,-0.992975 ) -142/143 HST ( -0.992961,-0.992921 ) -141/142 HST ( -0.992920,-0.992882 ) -140/141 HST ( -0.992888,-0.992852 ) -139/140 HST ( -0.992811,-0.992783 ) -138/139 HST ( -0.992755,-0.992752 ) -137/138 EXTENDED HST ( -0.992722,-0.990710 ) -119/120 HST ( -0.991646,-0.991546 ) -118/119 HST ( -0.991528,-0.991522 ) -117/118 EXTENDED HST ( -0.991454,-0.991452 ) -116/117 EXTENDED HST ( -0.991383,-0.991316 ) -115/116 HST ( -0.991312,-0.991258 ) -114/115 HST ( -0.991252,-0.991226 ) -113/114 HST ( -0.991151,-0.991150 ) -112/113 EXTENDED HST ( -0.991112,-0.991062 ) -111/112 HST ( -0.990992,-0.990990 ) -110/111 EXTENDED HST ( -0.990910,-0.990908 ) -109/110 EXTENDED HST ( -0.990827,-0.990824 ) -108/109 EXTENDED HST ( -0.990789,-0.989235 ) -100/101 HST ( -0.990003,-0.989997 ) -99/100 EXTENDED HST ( -0.989901,-0.989897 ) -98/99 EXTENDED HST ( -0.989807,-0.989733 ) -97/98 HST ( -0.989693,-0.989689 ) -96/97 EXTENDED HST ( -0.989663,-0.989575 ) -95/96 HST ( -0.989476,-0.989472 ) -94/95 EXTENDED HST ( -0.989450,-0.986545 ) -83/84 HST ( -0.987956,-0.987948 ) -82/83 EXTENDED HST ( -0.987869,-0.987790 ) -81/82 HST ( -0.987670,-0.987562 ) -80/81 HST ( -0.987508,-0.987492 ) -79/80 EXTENDED HST ( -0.987486,-0.987303 ) -78/79 HST ( -0.987264,-0.987160 ) -77/78 HST ( -0.987014,-0.987012 ) -76/77 EXTENDED HST ( -0.986846,-0.986838 ) -75/76 EXTENDED HST ( -0.986710,-0.986551 ) -74/75 HST ( -0.987234,-0.985836 ) -293/297 HST ( -0.986500,-0.986350 ) -73/74 HST ( -0.986345,-0.986203 ) -72/73 HST ( -0.986227,-0.986091 ) -71/72 HST ( -0.986046,-0.983705 ) -66/67 HST ( -0.984854,-0.984843 ) -65/66 EXTENDED HST ( -0.984717,-0.984592 ) -64/65 HST ( -0.984400,-0.984226 ) -63/64 HST ( -0.984257,-0.984068 ) -62/63 HST ( -0.984062,-0.983851 ) -61/62 HST ( -0.983779,-0.983540 ) -60/61 HST ( -0.985760,-0.981069 ) -119/121 HST ( -0.983339,-0.983327 ) -59/60 EXTENDED HST ( -0.983310,-0.978750 ) -51/52 HST ( -0.980660,-0.980116 ) -50/51 HST ( -0.980017,-0.979983 ) -49/50 EXTENDED HST ( -0.979596,-0.979588 ) -48/49 EXTENDED HST ( -0.979187,-0.978792 ) -47/48 EXTENDED HST -> HST ( -0.978770,-0.978447 ) -46/47 EXTENDED HST -> HST ( -0.978571,-0.978290 ) -136/139 HST ( -0.978410,-0.978246 ) -45/46 EXTENDED HST -> HST ( -0.980831,-0.975610 ) -89/91 HST ( -0.977784,-0.977772 ) -44/45 EXTENDED HST ( -0.977536,-0.977213 ) -43/44 EXTENDED HST -> HST ( -0.976753,-0.976736 ) -42/43 EXTENDED HST ( -0.976199,-0.976182 ) -41/42 EXTENDED HST ( -0.975620,-0.975599 ) -40/41 EXTENDED HST ( -0.977956,-0.972722 ) -79/81 HST ( -0.975047,-0.974528 ) -39/40 EXTENDED HST -> HST ( -0.974371,-0.974347 ) -38/39 EXTENDED HST ( -0.974269,-0.970013 ) -34/35 EXTENDED HST -> HST ( -0.971234,-0.966493 ) -32/33 EXTENDED HST -> HST ( -0.966781,-0.965982 ) -57/59 HST ( -0.970696,-0.961239 ) -85/88 HST ( -0.965539,-0.965496 ) -28/29 EXTENDED HST ( -0.965207,-0.964190 ) -27/28 EXTENDED HST -> HST ( -0.962988,-0.962938 ) -26/27 EXTENDED HST ( -0.961560,-0.961517 ) -25/26 EXTENDED HST ( -0.961538,-0.960000 ) -49/51 HST ( -0.960025,-0.959975 ) -24/25 EXTENDED HST ( -0.962355,-0.956217 ) -71/74 HST ( -0.959455,-0.958173 ) -47/49 EXTENDED HST -> HST ( -0.958534,-0.957417 ) -23/24 EXTENDED HST -> HST ( -0.956544,-0.956500 ) -22/23 EXTENDED HST ( -0.957078,-0.953294 ) -43/45 EXTENDED HST -> HST ( -0.954612,-0.953879 ) -21/22 EXTENDED HST -> HST ( -0.953711,-0.952145 ) -20/21 EXTENDED HST -> HST ( -0.955361,-0.948801 ) -139/146 HST ( -0.952032,-0.949882 ) -19/20 EXTENDED HST -> HST ( -0.951734,-0.945887 ) -315/332 HST ( -0.948733,-0.948703 ) -37/39 EXTENDED HST ( -0.947397,-0.947340 ) -18/19 EXTENDED HST ( -0.946020,-0.944721 ) -52/55 HST ( -0.947860,-0.941573 ) -205/217 HST ( -0.944573,-0.944316 ) -17/18 EXTENDED HST ( -0.942183,-0.927218 ) -15/16 EXTENDED HST -> HST ( -0.933448,-0.933218 ) -14/15 EXTENDED HST ( -0.930701,-0.928074 ) -13/14 EXTENDED HST -> HST ( -0.931233,-0.919114 ) -25/27 EXTENDED HST -> HST ( -0.923685,-0.919332 ) -12/13 EXTENDED HST -> HST ( -0.921500,-0.915622 ) -34/37 EXTENDED HST -> HST ( -0.917019,-0.916311 ) -11/12 EXTENDED HST ( -0.919784,-0.895662 ) -39/43 EXTENDED HST -> HST ( -0.906659,-0.905093 ) -29/32 EXTENDED HST -> HST ( -0.904909,-0.898824 ) -9/10 EXTENDED HST -> HST ( -0.901618,-0.886741 ) -17/19 EXTENDED HST -> HST ( -0.888984,-0.888793 ) -8/9 EXTENDED HST ( -0.875342,-0.874657 ) -7/8 EXTENDED HST ( -0.887090,-0.854690 ) -27/31 EXTENDED HST -> HST ( -0.870720,-0.860433 ) -13/15 EXTENDED HST -> HST ( -0.845282,-0.840932 ) -16/19 EXTENDED HST -> HST ( -0.847458,-0.833333 ) -21/25 EXTENDED HST -> HST ( -0.818574,-0.805067 ) -17/21 EXTENDED HST -> HST ( -0.516972,-0.502832 ) -29/57 HST ( -0.506076,-0.494067 ) -1/2 EXTENDED HST ( -0.497168,-0.483028 ) -28/57 HST ( -0.194933,-0.181426 ) -4/21 EXTENDED HST -> HST ( -0.166667,-0.152542 ) -4/25 EXTENDED HST -> HST ( -0.159068,-0.154718 ) -3/19 EXTENDED HST -> HST ( -0.139567,-0.129280 ) -2/15 EXTENDED HST -> HST ( -0.145310,-0.112910 ) -4/31 EXTENDED HST -> HST ( -0.125343,-0.124658 ) -1/8 EXTENDED HST ( -0.111207,-0.111016 ) -1/9 EXTENDED HST ( -0.113259,-0.098382 ) -2/19 EXTENDED HST -> HST ( -0.101176,-0.095091 ) -1/10 EXTENDED HST -> HST ( -0.100777,-0.089194 ) -15/158 HST ( -0.094907,-0.093341 ) -3/32 EXTENDED HST -> HST ( -0.093365,-0.074508 ) -12/143 HST ( -0.083689,-0.082981 ) -1/12 EXTENDED HST ( -0.080886,-0.068767 ) -2/27 EXTENDED HST -> HST ( -0.071926,-0.069299 ) -1/14 EXTENDED HST -> HST ( -0.070455,-0.066892 ) -3/44 EXTENDED HST -> HST ( -0.068214,-0.065577 ) -20/299 HST ( -0.066782,-0.066552 ) -1/15 EXTENDED HST ( -0.072782,-0.057817 ) -1/16 EXTENDED HST -> HST ( -0.060067,-0.052434 ) -4/71 HST ( -0.055684,-0.055427 ) -1/18 EXTENDED HST ( -0.055172,-0.048611 ) -3/58 HST ( -0.051297,-0.051267 ) -2/39 EXTENDED HST ( -0.050118,-0.047968 ) -1/20 EXTENDED HST -> HST ( -0.051199,-0.044639 ) -7/146 HST ( -0.047855,-0.046289 ) -1/21 EXTENDED HST -> HST ( -0.046706,-0.042922 ) -2/45 EXTENDED HST -> HST ( -0.043500,-0.043456 ) -1/23 EXTENDED HST ( -0.042943,-0.042620 ) -3/70 HST ( -0.045077,-0.040073 ) -15/352 HST ( -0.042583,-0.041466 ) -1/24 EXTENDED HST -> HST ( -0.041224,-0.038909 ) -23/574 HST ( -0.040025,-0.039975 ) -1/25 EXTENDED HST ( -0.040000,-0.038462 ) -4/103 HST ( -0.038483,-0.038440 ) -1/26 EXTENDED HST ( -0.038445,-0.038409 ) -44/1145 HST ( -0.038428,-0.038353 ) -20/521 HST ( -0.038387,-0.038221 ) -9/235 HST ( -0.038298,-0.037344 ) -2/53 HST ( -0.037680,-0.037190 ) -5/134 HST ( -0.041842,-0.032415 ) -10/269 HST ( -0.037062,-0.037012 ) -1/27 EXTENDED HST ( -0.033507,-0.028766 ) -1/33 EXTENDED HST -> HST ( -0.029987,-0.025731 ) -1/35 EXTENDED HST -> HST ( -0.026210,-0.025220 ) -8/311 HST ( -0.025653,-0.025629 ) -1/39 EXTENDED HST ( -0.025472,-0.024953 ) -1/40 EXTENDED HST -> HST ( -0.027278,-0.022044 ) -2/81 HST ( -0.024401,-0.024380 ) -1/41 EXTENDED HST ( -0.024390,-0.019169 ) -2/91 HST ( -0.021754,-0.021590 ) -1/46 EXTENDED HST -> HST ( -0.021537,-0.016606 ) -2/105 HST ( -0.018877,-0.018859 ) -1/53 EXTENDED HST ( -0.018931,-0.014240 ) -2/121 HST ( -0.016460,-0.016221 ) -1/61 HST ( -0.014259,-0.014205 ) -4/281 HST ( -0.014234,-0.014164 ) -2/141 HST ( -0.014170,-0.014065 ) -1/71 HST ( -0.014068,-0.013944 ) -2/143 HST ( -0.013997,-0.013867 ) -4/287 HST ( -0.013909,-0.013773 ) -1/72 HST ( -0.013797,-0.013655 ) -1/73 HST ( -0.014234,-0.013045 ) -4/293 HST ( -0.013650,-0.013500 ) -1/74 HST ( -0.013158,-0.012987 ) -3/230 HST ( -0.012988,-0.012986 ) -1/77 EXTENDED HST ( -0.013913,-0.011910 ) -2/155 HST ( -0.012840,-0.012736 ) -1/78 HST ( -0.013455,-0.010550 ) -1/84 HST ( -0.010578,-0.010539 ) -5/474 HST ( -0.011907,-0.009160 ) -10/949 HST ( -0.010528,-0.010524 ) -1/95 EXTENDED HST ( -0.009165,-0.009136 ) -5/546 HST ( -0.009156,-0.009100 ) -2/219 HST ( -0.009104,-0.009095 ) -9/989 HST ( -0.009097,-0.009093 ) -20/2199 HST ( -0.009094,-0.009092 ) -44/4839 HST ( -0.009092,-0.009090 ) -1/110 EXTENDED HST ( -0.009091,-0.009009 ) -2/221 HST ( -0.009010,-0.009008 ) -1/111 EXTENDED HST ( -0.009671,-0.008274 ) -2/223 HST ( -0.008938,-0.008888 ) -1/112 HST ( -0.008276,-0.008273 ) -8/967 HST ( -0.008326,-0.008219 ) -17/2055 HST ( -0.008272,-0.008272 ) -9/1088 EXTENDED HST ( -0.008266,-0.008263 ) -1/121 EXTENDED HST ( -0.008226,-0.008190 ) -1/122 HST ( -0.008779,-0.007510 ) -2/245 HST ( -0.008137,-0.008090 ) -1/123 HST ( -0.007524,-0.007495 ) -3/400 HST ( -0.007496,-0.007477 ) -2/267 HST ( -0.007485,-0.007470 ) -4/535 HST ( -0.007475,-0.007465 ) -8/1071 HST ( -0.007674,-0.007255 ) -28/3751 HST ( -0.007464,-0.007461 ) -1/134 EXTENDED HST ( -0.007818,-0.006686 ) -6/827 HST ( -0.007248,-0.007245 ) -1/138 EXTENDED HST ( -0.007124,-0.006230 ) -3/449 HST ( -0.006671,-0.006648 ) -1/150 HST ( -0.006714,-0.005742 ) -3/482 HST ( -0.006212,-0.006211 ) -1/161 EXTENDED HST ( -0.005751,-0.005727 ) -2/349 HST ( -0.006544,-0.004907 ) -3/524 HST ( -0.005715,-0.005714 ) -1/175 EXTENDED HST ( -0.004947,-0.004867 ) -5/1019 HST ( -0.004903,-0.004901 ) -1/204 EXTENDED HST ( -0.005506,-0.004229 ) -2/411 HST ( -0.004855,-0.004854 ) -1/206 EXTENDED HST ( -0.004567,-0.003904 ) -1/237 HST ( -0.004411,-0.003388 ) -2/513 HST ( -0.003891,-0.003891 ) -1/257 EXTENDED HST ( -0.003589,0.003615 ) 0/1 EXTENDED HST ( 0.003417,0.004375 ) 1/256 HST ( 0.003911,0.003932 ) 1/255 HST ( 0.003936,0.003938 ) 1/254 EXTENDED HST ( 0.003952,0.003953 ) 1/253 EXTENDED HST ( 0.003968,0.003982 ) 1/252 HST ( 0.003982,0.003994 ) 1/251 HST ( 0.003999,0.005121 ) 1/220 HST ( 0.004566,0.004567 ) 1/219 EXTENDED HST ( 0.004578,0.004589 ) 1/218 HST ( 0.004606,0.004621 ) 1/217 HST ( 0.004629,0.004631 ) 1/216 EXTENDED HST ( 0.004647,0.005952 ) 1/188 HST ( 0.005327,0.005368 ) 1/187 HST ( 0.005375,0.005378 ) 1/186 EXTENDED HST ( 0.005405,0.005406 ) 1/185 EXTENDED HST ( 0.005433,0.005460 ) 1/184 HST ( 0.005461,0.005483 ) 1/183 HST ( 0.005485,0.005495 ) 1/182 HST ( 0.005525,0.005525 ) 1/181 EXTENDED HST ( 0.005540,0.005559 ) 1/180 HST ( 0.005586,0.005587 ) 1/179 EXTENDED HST ( 0.005618,0.005618 ) 1/178 EXTENDED HST ( 0.005649,0.005650 ) 1/177 EXTENDED HST ( 0.005679,0.005706 ) 1/176 HST ( 0.005714,0.005715 ) 1/175 EXTENDED HST ( 0.005727,0.005751 ) 1/174 HST ( 0.005780,0.005781 ) 1/173 EXTENDED HST ( 0.005795,0.007425 ) 1/152 HST ( 0.006621,0.006624 ) 1/151 EXTENDED HST ( 0.006648,0.006671 ) 1/150 HST ( 0.006707,0.006739 ) 1/149 HST ( 0.006754,0.006759 ) 1/148 EXTENDED HST ( 0.006761,0.006814 ) 1/147 HST ( 0.006825,0.006855 ) 1/146 HST ( 0.006896,0.006897 ) 1/145 EXTENDED HST ( 0.006943,0.006946 ) 1/144 EXTENDED HST ( 0.006981,0.007025 ) 1/143 HST ( 0.007039,0.007079 ) 1/142 HST ( 0.007080,0.007118 ) 1/141 HST ( 0.007112,0.007148 ) 1/140 HST ( 0.007189,0.007217 ) 1/139 HST ( 0.007245,0.007248 ) 1/138 EXTENDED HST ( 0.007263,0.009309 ) 1/120 HST ( 0.008354,0.008454 ) 1/119 HST ( 0.008472,0.008478 ) 1/118 EXTENDED HST ( 0.008546,0.008548 ) 1/117 EXTENDED HST ( 0.008617,0.008684 ) 1/116 HST ( 0.008688,0.008742 ) 1/115 HST ( 0.008748,0.008774 ) 1/114 HST ( 0.008849,0.008850 ) 1/113 EXTENDED HST ( 0.008888,0.008938 ) 1/112 HST ( 0.009008,0.009010 ) 1/111 EXTENDED HST ( 0.009090,0.009092 ) 1/110 EXTENDED HST ( 0.009173,0.009176 ) 1/109 EXTENDED HST ( 0.009197,0.010782 ) 1/101 HST ( 0.009997,0.010003 ) 1/100 EXTENDED HST ( 0.010099,0.010103 ) 1/99 EXTENDED HST ( 0.010193,0.010267 ) 1/98 HST ( 0.010307,0.010311 ) 1/97 EXTENDED HST ( 0.010337,0.010425 ) 1/96 HST ( 0.010519,0.013495 ) 1/84 HST ( 0.012044,0.012052 ) 1/83 EXTENDED HST ( 0.012131,0.012210 ) 1/82 HST ( 0.012330,0.012438 ) 1/81 HST ( 0.012492,0.012508 ) 1/80 EXTENDED HST ( 0.012514,0.012697 ) 1/79 HST ( 0.012736,0.012840 ) 1/78 HST ( 0.012986,0.012988 ) 1/77 EXTENDED HST ( 0.013154,0.013162 ) 1/76 EXTENDED HST ( 0.013290,0.013449 ) 1/75 HST ( 0.012711,0.014280 ) 10/741 HST ( 0.013500,0.013650 ) 1/74 HST ( 0.013655,0.013797 ) 1/73 HST ( 0.013773,0.013909 ) 1/72 HST ( 0.013921,0.016334 ) 1/67 HST ( 0.015146,0.015157 ) 1/66 EXTENDED HST ( 0.015283,0.015408 ) 1/65 HST ( 0.015600,0.015774 ) 1/64 HST ( 0.015743,0.015932 ) 1/63 HST ( 0.015938,0.016149 ) 1/62 HST ( 0.016221,0.016460 ) 1/61 HST ( 0.014173,0.019021 ) 2/121 HST ( 0.016613,0.021349 ) 1/52 HST ( 0.019340,0.019884 ) 1/51 HST ( 0.019983,0.020017 ) 1/50 EXTENDED HST ( 0.020404,0.020412 ) 1/49 EXTENDED HST ( 0.020813,0.021208 ) 1/48 EXTENDED HST -> HST ( 0.021230,0.021553 ) 1/47 EXTENDED HST -> HST ( 0.021429,0.021710 ) 3/139 HST ( 0.021590,0.021754 ) 1/46 EXTENDED HST -> HST ( 0.019067,0.024520 ) 2/91 HST ( 0.022216,0.022228 ) 1/45 EXTENDED HST ( 0.022464,0.022787 ) 1/44 EXTENDED HST -> HST ( 0.023247,0.023264 ) 1/43 EXTENDED HST ( 0.023801,0.023818 ) 1/42 EXTENDED HST ( 0.024380,0.024401 ) 1/41 EXTENDED HST ( 0.021926,0.027425 ) 2/81 HST ( 0.024953,0.025472 ) 1/40 EXTENDED HST -> HST ( 0.025619,0.030119 ) 1/35 EXTENDED HST -> HST ( 0.028625,0.033671 ) 1/33 EXTENDED HST -> HST ( 0.033219,0.034018 ) 2/59 HST ( 0.029019,0.039143 ) 3/88 HST ( 0.034461,0.034504 ) 1/29 EXTENDED HST ( 0.034793,0.035810 ) 1/28 EXTENDED HST -> HST ( 0.037012,0.037062 ) 1/27 EXTENDED HST ( 0.038440,0.038483 ) 1/26 EXTENDED HST ( 0.038462,0.040000 ) 2/51 HST ( 0.039975,0.040025 ) 1/25 EXTENDED HST ( 0.037405,0.044065 ) 3/74 HST ( 0.040545,0.041827 ) 2/49 EXTENDED HST -> HST ( 0.041466,0.042583 ) 1/24 EXTENDED HST -> HST ( 0.043456,0.043500 ) 1/23 EXTENDED HST ( 0.042753,0.046891 ) 2/45 EXTENDED HST -> HST ( 0.045388,0.046121 ) 1/22 EXTENDED HST -> HST ( 0.046289,0.047855 ) 1/21 EXTENDED HST -> HST ( 0.044333,0.051553 ) 7/146 HST ( 0.047968,0.050118 ) 1/20 EXTENDED HST -> HST ( 0.048276,0.055556 ) 3/58 HST ( 0.052603,0.052660 ) 1/19 EXTENDED HST ( 0.055427,0.055684 ) 1/18 EXTENDED HST ( 0.052012,0.060555 ) 4/71 HST ( 0.056899,0.073956 ) 1/16 EXTENDED HST -> HST ( 0.066552,0.066782 ) 1/15 EXTENDED HST ( 0.069299,0.071926 ) 1/14 EXTENDED HST -> HST ( 0.067872,0.081952 ) 2/27 EXTENDED HST -> HST ( 0.076315,0.080668 ) 1/13 EXTENDED HST -> HST ( 0.081183,0.083557 ) 5/61 HST ( 0.082981,0.083689 ) 1/12 EXTENDED HST ( 0.072990,0.095306 ) 12/143 HST ( 0.095091,0.101176 ) 1/10 EXTENDED HST -> HST ( 0.096759,0.115159 ) 2/19 EXTENDED HST -> HST ( 0.111016,0.111207 ) 1/9 EXTENDED HST ( 0.124658,0.125343 ) 1/8 EXTENDED HST ( 0.124012,0.131086 ) 6/47 EXTENDED HST -> HST ( 0.127753,0.141235 ) 2/15 EXTENDED HST -> HST -16.999023)(17.000000 infinity EXTENDED HST EXCLUDED INTERVALS RESULTING FROM COMBINING THE HALF-SPACE AND THE SUPPLEMENTAL HALF-SPACE COMPUTATIONS (-infinity, 0.157411) ( 0.000000, 0.000000) ( 0.000000, 0.000000) ( 0.000000, 0.000000) (17.000000, infinity) The supplemental half-space computation does not determine rationality. SLOPE FUNCTION INFORMATION There are no slope function fixed points p/q with |p| <= 50 and |q| <= 50. Number of excluded intervals computed by the fixed point finder: 32929 The union of the excluded intervals computed by the fixed point finder became a union of 10,000 disjoint intervals: the search for all slope function fixed points aborted. 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 |p'| <= |p| for every slope p/q with |p| <= 50 and |q| <= 50. 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=(1,33)(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=(1,33)(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=(1,34)(2,33)(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)", "d=(1,34)(2,33)(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 lambda1: NewSphereMachine( "a=<1,c^-1,c^-1,c^-1,c^-1,c^-1,c^-1,c^-1,c^-1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,c,c,c,c,c,c,c,c>(2,34)(3,33)(4,32)(5,31)(6,30)(7,29)(8,28)(9,27)(10,26)(11,25)(12,24)(13,23)(14,22)(15,21)(16,20)(17,19)", "b=(2,34)(3,33)(4,32)(5,31)(6,30)(7,29)(8,28)(9,27)(10,26)(11,25)(12,24)(13,23)(14,22)(15,21)(16,20)(17,19)", "c=(1,34)(2,33)(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)", "d=(1,34)(2,33)(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=(1,34)(2,33)(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=(1,34)(2,33)(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)", "c=(1,33)(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=(1,33)(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=(1,34)(2,33)(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=(1,34)(2,33)(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)", "c=(2,34)(3,33)(4,32)(5,31)(6,30)(7,29)(8,28)(9,27)(10,26)(11,25)(12,24)(13,23)(14,22)(15,21)(16,20)(17,19)", "d=<1,c^-1*b,c^-1,c^-1,c^-1,c^-1,c^-1,c^-1,c^-1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,c,c,c,c,c,c,c,b^-1*c>(2,34)(3,33)(4,32)(5,31)(6,30)(7,29)(8,28)(9,27)(10,26)(11,25)(12,24)(13,23)(14,22)(15,21)(16,20)(17,19)", "a*b*c*d");