These Thurston maps are NET maps for every choice of translation term. They are primitive and have degree 25. 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, 0/5, 0/25, 1/25, 1/5, 2/5, 1/1, 2/1, 3/1, 4/1, 5/1, 6/1, 7/1, 8/1, 9/1 10/1, 11/1, 12/1, 13/1, 15/1 EXCLUDED INTERVALS FOR THE HALF-SPACE COMPUTATION (-infinity,-0.266990) (-0.266393,-0.264228) (-0.264045,-0.174419) (-0.171569,-0.169903) (-0.163551,-0.162037) (-0.159574,-0.137185) (-0.136788,-0.129310) (-0.120968,-0.115082) (-0.114803,-0.107649) (-0.107405,-0.102740) (-0.097403,-0.096154) (-0.092593,-0.089286) (-0.086207,-0.085227) (-0.081522,-0.080645) (-0.078125,-0.075758) (-0.073529,-0.072816) (-0.070093,-0.069444) (-0.067568,-0.065789) (-0.064103,-0.063559) (-0.061475,-0.060976) (-0.059524,-0.058140) (-0.053191,-0.052083) (-0.048077,-0.047170) (-0.043860,-0.043103) (-0.040323,-0.039683) (-0.037313,-0.036765) (-0.034722,-0.034247) (-0.032468,-0.032051) (-0.030488,-0.030120) (-0.028736,-0.028409) (-0.027174,-0.026882) (-0.025773,-0.025510) (-0.024510,-0.024272) (-0.023364,-0.023148) (-0.022321,-0.022124) (-0.021368,-0.021186) (-0.020492,-0.020325) ( 0.020325,0.020492 ) ( 0.021186,0.021368 ) ( 0.022124,0.022321 ) ( 0.023148,0.023364 ) ( 0.024272,0.024510 ) ( 0.025510,0.025773 ) ( 0.026882,0.027174 ) ( 0.028409,0.028736 ) ( 0.030120,0.030488 ) ( 0.032051,0.032468 ) ( 0.034247,0.034722 ) ( 0.036765,0.037313 ) ( 0.039683,0.040323 ) ( 0.043103,0.043860 ) ( 0.047170,0.048077 ) ( 0.052083,0.053191 ) ( 0.058140,0.059524 ) ( 0.060976,0.061475 ) ( 0.063559,0.064103 ) ( 0.065789,0.067568 ) ( 0.069444,0.070093 ) ( 0.072816,0.073529 ) ( 0.075758,0.078125 ) ( 0.080645,0.081522 ) ( 0.085227,0.086207 ) ( 0.089286,0.092593 ) ( 0.096154,0.097403 ) ( 0.102740,0.107405 ) ( 0.107649,0.114803 ) ( 0.115082,0.120968 ) ( 0.129310,0.136788 ) ( 0.137185,0.159574 ) ( 0.162037,0.163551 ) ( 0.169903,0.171569 ) ( 0.174419,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 (-0.267571,-0.266412) -55/206 HST (-0.266809,-0.266525) -4/15 EXTENDED HST (-0.266883,-0.265906) -65/244 HST (-0.266773,-0.261218) -14/53 HST (-0.175330,-0.173516) -15/86 HST (-0.173974,-0.173853) -4/23 EXTENDED HST (-0.175403,-0.168016) -5/29 EXTENDED HST -> HST (-0.170927,-0.165064) -21/125 HST (-0.166889,-0.166445) -1/6 EXTENDED HST (-0.170290,-0.156934) -9/55 HST (-0.140167,-0.133475) -10/73 HST (-0.129811,-0.128814) -15/116 HST (-0.129066,-0.128999) -4/31 EXTENDED HST (-0.130631,-0.125000) -5/39 EXTENDED HST -> HST (-0.125125,-0.124875) -1/8 EXTENDED HST (-0.128415,-0.118132) -9/73 HST (-0.123239,-0.122378) -6/49 EXTENDED HST -> HST (-0.122011,-0.121892) -5/41 EXTENDED HST (-0.121242,-0.121183) -4/33 EXTENDED HST (-0.115132,-0.114379) -10/87 HST (-0.110197,-0.104651) -10/93 HST (-0.103055,-0.102426) -15/146 HST (-0.102585,-0.102543) -4/39 EXTENDED HST (-0.104067,-0.099520) -5/49 EXTENDED HST -> HST (-0.100080,-0.099920) -1/10 EXTENDED HST (-0.103070,-0.094714) -9/91 HST (-0.098870,-0.098315) -6/61 HST (-0.098078,-0.098001) -5/51 EXTENDED HST (-0.097580,-0.097542) -4/41 EXTENDED HST (-0.095142,-0.093550) -5/53 HST (-0.093773,-0.093727) -3/32 EXTENDED HST (-0.093583,-0.093085) -10/107 HST (-0.093366,-0.091832) -5/54 HST (-0.090004,-0.088578) -5/56 HST (-0.090786,-0.086066) -10/113 HST (-0.088413,-0.087036) -3/34 EXTENDED HST -> HST (-0.086987,-0.086926) -2/23 EXTENDED HST (-0.085444,-0.085011) -15/176 HST (-0.085121,-0.085092) -4/47 EXTENDED HST (-0.086481,-0.082669) -5/59 HST (-0.083389,-0.083278) -1/12 EXTENDED HST (-0.086081,-0.079044) -9/109 HST (-0.082547,-0.082160) -6/73 HST (-0.081994,-0.081940) -5/61 EXTENDED HST (-0.081646,-0.081619) -4/49 EXTENDED HST (-0.080357,-0.077717) -23/291 HST (-0.078964,-0.078931) -3/38 EXTENDED HST (-0.078675,-0.077583) -5/64 HST (-0.076274,-0.075248) -5/66 HST (-0.077189,-0.073086) -10/133 HST (-0.075128,-0.074132) -3/40 EXTENDED HST -> HST (-0.074096,-0.074052) -2/27 EXTENDED HST (-0.072974,-0.072658) -15/206 HST (-0.072738,-0.072717) -4/55 EXTENDED HST (-0.073980,-0.070698) -5/69 HST (-0.071469,-0.071388) -1/14 EXTENDED HST (-0.070850,-0.070565) -6/85 HST (-0.072173,-0.068948) -35/496 HST (-0.070533,-0.070459) -11/156 HST (-0.070442,-0.070403) -5/71 EXTENDED HST (-0.070185,-0.070166) -4/57 EXTENDED HST (-0.069581,-0.068290) -83/1204 HST (-0.068936,-0.068898) -49/711 HST (-0.068915,-0.068076) -5/73 HST (-0.068194,-0.068169) -3/44 EXTENDED HST (-0.068093,-0.067829) -10/147 HST (-0.067978,-0.067162) -5/74 HST (-0.066179,-0.065405) -5/76 HST (-0.067134,-0.063508) -10/153 HST (-0.065314,-0.064560) -3/46 EXTENDED HST -> HST (-0.064533,-0.064499) -2/31 EXTENDED HST (-0.063519,-0.063495) -63/992 HST (-0.063500,-0.063484) -4/63 EXTENDED HST (-0.064636,-0.061756) -5/79 HST (-0.062531,-0.062469) -1/16 EXTENDED HST (-0.062085,-0.061416) -31/502 HST (-0.061744,-0.061713) -5/81 EXTENDED HST (-0.061546,-0.061531) -4/65 EXTENDED HST (-0.061450,-0.060509) -2/33 EXTENDED HST -> HST (-0.060567,-0.059918) -5/83 HST (-0.060010,-0.059990) -3/50 EXTENDED HST (-0.059932,-0.059727) -10/167 HST (-0.059842,-0.059209) -5/84 HST (-0.058443,-0.057839) -5/86 HST (-0.059397,-0.056150) -10/173 HST (-0.057768,-0.057177) -3/52 HST (-0.057156,-0.057130) -2/35 EXTENDED HST (-0.057307,-0.054982) -21/374 HST (-0.056090,-0.055911) -6/107 HST (-0.055580,-0.055531) -1/18 EXTENDED HST (-0.055400,-0.054541) -21/382 HST (-0.054957,-0.054933) -5/91 EXTENDED HST (-0.054801,-0.054789) -4/73 EXTENDED HST (-0.054724,-0.053977) -2/37 EXTENDED HST -> HST (-0.054023,-0.053506) -5/93 HST (-0.053579,-0.053564) -3/56 EXTENDED HST (-0.053517,-0.053354) -10/187 HST (-0.053446,-0.052940) -5/94 HST (-0.052327,-0.051842) -5/96 HST (-0.053259,-0.050319) -10/193 HST (-0.051785,-0.051310) -3/58 HST (-0.051293,-0.051272) -2/39 EXTENDED HST (-0.052339,-0.048206) -8/159 HST (-0.050020,-0.049980) -1/20 EXTENDED HST (-0.048285,-0.047871) -5/104 HST (-0.047370,-0.046972) -5/106 HST (-0.048271,-0.045586) -10/213 HST (-0.046925,-0.046534) -3/64 HST (-0.046520,-0.046503) -2/43 EXTENDED HST (-0.045601,-0.045552) -16/351 HST (-0.046318,-0.044770) -22/483 HST (-0.045471,-0.045438) -1/22 EXTENDED HST (-0.044896,-0.044392) -2/45 EXTENDED HST -> HST (-0.044424,-0.044073) -5/113 HST (-0.044123,-0.044112) -3/68 EXTENDED HST (-0.044081,-0.043970) -10/227 HST (-0.044032,-0.043688) -5/114 HST (-0.043270,-0.042938) -5/116 HST (-0.044137,-0.041667) -10/233 HST (-0.042899,-0.042572) -3/70 HST (-0.042560,-0.042546) -2/47 EXTENDED HST (-0.041681,-0.041653) -1/24 EXTENDED HST (-0.043278,-0.039668) -9/217 HST (-0.041469,-0.041371) -6/145 HST (-0.041329,-0.041315) -5/121 EXTENDED HST (-0.041241,-0.041234) -4/97 EXTENDED HST (-0.041197,-0.040772) -2/49 EXTENDED HST -> HST (-0.039824,-0.039542) -4/101 HST (-0.040655,-0.038368) -10/253 HST (-0.039509,-0.039232) -3/76 HST (-0.039222,-0.039210) -2/51 EXTENDED HST (-0.038473,-0.038450) -1/26 EXTENDED HST (-0.039966,-0.036627) -9/235 HST (-0.038293,-0.038210) -6/157 HST (-0.038174,-0.038162) -5/131 EXTENDED HST (-0.038098,-0.038092) -4/105 EXTENDED HST (-0.038061,-0.037698) -2/53 HST (-0.037683,-0.035553) -13/355 HST (-0.036616,-0.036378) -3/82 HST (-0.036369,-0.036358) -2/55 EXTENDED HST (-0.035724,-0.035704) -1/28 EXTENDED HST (-0.035569,-0.035497) -6/169 HST (-0.036355,-0.034637) -35/986 HST (-0.035489,-0.035470) -11/310 HST (-0.035466,-0.035456) -5/141 EXTENDED HST (-0.035401,-0.035396) -4/113 EXTENDED HST (-0.035369,-0.035055) -2/57 HST (-0.034352,-0.034142) -5/146 HST (-0.035115,-0.033123) -10/293 HST (-0.034117,-0.033910) -3/88 HST (-0.033903,-0.033894) -2/59 EXTENDED HST (-0.033342,-0.033324) -1/30 EXTENDED HST (-0.033390,-0.032854) -21/634 HST (-0.033117,-0.033108) -5/151 EXTENDED HST (-0.033060,-0.033056) -4/121 EXTENDED HST (-0.033032,-0.032758) -2/61 HST (-0.032776,-0.032584) -5/153 HST (-0.032612,-0.032606) -3/92 EXTENDED HST (-0.032588,-0.032528) -10/307 HST (-0.032562,-0.032374) -5/154 HST (-0.032143,-0.031960) -5/156 HST (-0.032875,-0.031004) -10/313 HST (-0.031938,-0.031757) -3/94 HST (-0.031750,-0.031742) -2/63 EXTENDED HST (-0.031258,-0.031242) -1/32 EXTENDED HST (-0.031204,-0.030803) -63/2032 HST (-0.030985,-0.030744) -2/65 HST (-0.030759,-0.030591) -5/163 HST (-0.030615,-0.030610) -3/98 EXTENDED HST (-0.030594,-0.030541) -10/327 HST (-0.030571,-0.030405) -5/164 HST (-0.030202,-0.030040) -5/166 HST (-0.030904,-0.029140) -10/333 HST (-0.030021,-0.029860) -3/100 HST (-0.029854,-0.029847) -2/67 EXTENDED HST (-0.029419,-0.029405) -1/34 EXTENDED HST (-0.029177,-0.028963) -2/69 HST (-0.028977,-0.028827) -5/173 HST (-0.028848,-0.028844) -3/104 EXTENDED HST (-0.028830,-0.028783) -10/347 HST (-0.028810,-0.028662) -5/174 HST (-0.028481,-0.028337) -5/176 HST (-0.029156,-0.027487) -10/353 HST (-0.028320,-0.028177) -3/106 HST (-0.028172,-0.028166) -2/71 EXTENDED HST (-0.027784,-0.027772) -1/36 EXTENDED HST (-0.027568,-0.027377) -2/73 HST (-0.027389,-0.027256) -5/183 HST (-0.027275,-0.027271) -3/110 EXTENDED HST (-0.027259,-0.027216) -10/367 HST (-0.027240,-0.027108) -5/184 HST (-0.026947,-0.026817) -5/186 HST (-0.027595,-0.026012) -10/373 HST (-0.026802,-0.026674) -3/112 HST (-0.026670,-0.026664) -2/75 EXTENDED HST (-0.026321,-0.026310) -1/38 EXTENDED HST (-0.026128,-0.025956) -2/77 HST (-0.025967,-0.025847) -5/193 HST (-0.025864,-0.025860) -3/116 EXTENDED HST (-0.025849,-0.025811) -10/387 HST (-0.025833,-0.025714) -5/194 HST (-0.025569,-0.025452) -5/196 HST (-0.026192,-0.024687) -10/393 HST (-0.025438,-0.025323) -3/118 HST (-0.025319,-0.025314) -2/79 EXTENDED HST (-0.025005,-0.024995) -1/40 EXTENDED HST (-0.024688,-0.024684) -63/2552 HST (-0.024685,-0.024576) -5/203 HST (-0.024592,-0.024589) -3/122 EXTENDED HST (-0.024579,-0.024544) -10/407 HST (-0.024564,-0.024456) -5/204 HST (-0.024325,-0.024219) -5/206 HST (-0.024926,-0.023490) -10/413 HST (-0.024207,-0.024103) -3/124 HST (-0.024099,-0.024094) -2/83 EXTENDED HST (-0.023814,-0.023805) -1/42 EXTENDED HST (-0.023524,-0.023425) -7/298 HST (-0.023439,-0.023436) -3/128 EXTENDED HST (-0.023427,-0.023396) -10/427 HST (-0.023413,-0.023316) -5/214 HST (-0.023196,-0.023100) -5/216 HST (-0.023776,-0.022404) -10/433 HST (-0.023089,-0.022994) -3/130 HST (-0.022991,-0.022986) -2/87 EXTENDED HST (-0.022731,-0.022723) -1/44 EXTENDED HST (-0.022412,-0.022394) -11/491 HST (-0.022397,-0.022390) -29/1295 HST (-0.022503,-0.022278) -74/3305 HST (-0.022389,-0.022387) -3/134 EXTENDED HST (-0.022366,-0.022277) -5/224 HST (-0.022168,-0.022080) -5/226 HST (-0.022727,-0.021414) -10/453 HST (-0.022070,-0.021983) -3/136 HST (-0.021980,-0.021976) -2/91 EXTENDED HST (-0.021743,-0.021735) -1/46 EXTENDED HST (-0.021420,-0.021394) -10/467 HST (-0.021408,-0.021327) -5/234 HST (-0.021227,-0.021146) -5/236 HST (-0.021767,-0.020508) -10/473 HST (-0.021137,-0.021057) -3/142 HST (-0.021054,-0.021051) -2/95 EXTENDED HST (-0.020837,-0.020830) -1/48 EXTENDED HST (-0.020529,-0.020454) -5/244 HST (-0.043476,0.047623 ) 0/1 EXTENDED HST ( 0.047871,0.048285 ) 5/104 HST ( 0.046736,0.049925 ) 10/207 HST ( 0.048334,0.048755 ) 3/62 HST ( 0.048718,0.049325 ) 2/41 EXTENDED HST -> HST ( 0.049909,0.049939 ) 34/681 HST ( 0.049930,0.049954 ) 42/841 HST ( 0.049943,0.049962 ) 54/1081 HST ( 0.049955,0.049970 ) 67/1341 HST ( 0.049964,0.049976 ) 84/1681 HST ( 0.049971,0.049981 ) 104/2081 HST ( 0.049980,0.050020 ) 1/20 EXTENDED HST ( 0.047991,0.052573 ) 9/179 HST ( 0.050287,0.050432 ) 6/119 HST ( 0.050495,0.050515 ) 5/99 EXTENDED HST ( 0.050628,0.050638 ) 4/79 EXTENDED HST ( 0.050676,0.051020 ) 3/59 HST ( 0.051259,0.051306 ) 2/39 EXTENDED HST ( 0.051842,0.052327 ) 5/96 HST ( 0.052940,0.053446 ) 5/94 HST ( 0.051724,0.055281 ) 10/187 HST ( 0.053506,0.054023 ) 3/56 HST ( 0.053977,0.054724 ) 2/37 EXTENDED HST -> HST ( 0.049915,0.060788 ) 12/217 HST ( 0.055531,0.055580 ) 1/18 EXTENDED HST ( 0.060509,0.061450 ) 5/82 HST ( 0.061363,0.061588 ) 15/244 HST ( 0.061531,0.061546 ) 4/65 EXTENDED HST ( 0.060320,0.063319 ) 5/81 HST ( 0.062469,0.062531 ) 1/16 EXTENDED HST ( 0.056532,0.070546 ) 25/394 HST ( 0.063452,0.063516 ) 125/1969 HST ( 0.063484,0.063500 ) 4/63 EXTENDED HST ( 0.068699,0.072433 ) 35/496 HST ( 0.070565,0.070850 ) 6/85 HST ( 0.071388,0.071469 ) 1/14 EXTENDED HST ( 0.071590,0.073286 ) 36/497 HST ( 0.072443,0.072485 ) 5/69 EXTENDED HST ( 0.072717,0.072738 ) 4/55 EXTENDED HST ( 0.072852,0.074220 ) 5/68 HST ( 0.074025,0.074123 ) 2/27 EXTENDED HST ( 0.074132,0.075128 ) 5/67 HST ( 0.074985,0.075015 ) 3/40 EXTENDED HST ( 0.075107,0.075431 ) 10/133 HST ( 0.075248,0.076274 ) 5/66 HST ( 0.077583,0.078675 ) 5/64 HST ( 0.076087,0.081509 ) 10/127 HST ( 0.078806,0.079932 ) 3/38 EXTENDED HST -> HST ( 0.079831,0.081476 ) 2/25 EXTENDED HST -> HST ( 0.081324,0.081720 ) 15/184 HST ( 0.081619,0.081646 ) 4/49 EXTENDED HST ( 0.080116,0.084139 ) 5/61 HST ( 0.083278,0.083389 ) 1/12 EXTENDED HST ( 0.084135,0.084541 ) 6/71 HST ( 0.082115,0.086983 ) 35/414 HST ( 0.084586,0.084693 ) 11/130 HST ( 0.084717,0.084775 ) 5/59 EXTENDED HST ( 0.085092,0.085121 ) 4/47 EXTENDED HST ( 0.086088,0.087919 ) 83/954 HST ( 0.087003,0.087065 ) 49/563 HST ( 0.087036,0.088413 ) 5/57 HST ( 0.088215,0.088256 ) 3/34 EXTENDED HST ( 0.088384,0.088832 ) 10/113 HST ( 0.088578,0.090004 ) 5/56 HST ( 0.091832,0.093366 ) 5/54 HST ( 0.090258,0.096821 ) 10/107 HST ( 0.093550,0.095142 ) 3/32 EXTENDED HST -> HST ( 0.094998,0.097338 ) 2/21 EXTENDED HST -> HST ( 0.097121,0.097686 ) 15/154 HST ( 0.097542,0.097580 ) 4/41 EXTENDED HST ( 0.095843,0.100694 ) 5/51 HST ( 0.099920,0.100080 ) 1/10 EXTENDED HST ( 0.096413,0.105856 ) 9/89 HST ( 0.101156,0.101744 ) 6/59 HST ( 0.101999,0.102082 ) 5/49 EXTENDED HST ( 0.102543,0.102585 ) 4/39 EXTENDED HST ( 0.107362,0.108025 ) 10/93 HST ( 0.110915,0.119217 ) 10/87 HST ( 0.120533,0.121406 ) 15/124 HST ( 0.121183,0.121242 ) 4/33 EXTENDED HST ( 0.119253,0.125360 ) 5/41 EXTENDED HST -> HST ( 0.124875,0.125125 ) 1/8 EXTENDED HST ( 0.120787,0.132768 ) 9/71 HST ( 0.126812,0.127737 ) 6/47 EXTENDED HST -> HST ( 0.128139,0.128271 ) 5/39 EXTENDED HST ( 0.128999,0.129066 ) 4/31 EXTENDED HST ( 0.136719,0.137795 ) 10/73 HST ( 0.158819,0.160337 ) 15/94 HST ( 0.159949,0.160051 ) 4/25 EXTENDED HST ( 0.157795,0.166031 ) 5/31 EXTENDED HST -> HST ( 0.165895,0.166151 ) 44/265 HST ( 0.166040,0.166248 ) 54/325 HST ( 0.166171,0.166336 ) 67/403 HST ( 0.166266,0.166399 ) 84/505 HST ( 0.166344,0.166451 ) 104/625 HST ( 0.166445,0.166889 ) 1/6 EXTENDED HST ( 0.161654,0.178030 ) 9/53 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,b,c^-1*b,c^-1*b,c^-1*b,c^-1,c^-1,1,1,1,1,1,1,1,1,1,1,1,1,c,c,c,b^-1*c,b^-1*c,b^-1*c>(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=(1,25)(2,24)(3,23)(4,22)(5,21)(6,20)(7,19)(8,18)(9,17)(10,16)(11,15)(12,14)", "d=<1,c^-1,c^-1,c^-1,c^-1,c^-1,c^-1,1,1,1,1,1,1,1,1,1,1,1,1,c,c,c,c,c,c*d>(2,25)(3,24)(4,23)(5,22)(6,21)(7,20)(8,19)(9,18)(10,17)(11,16)(12,15)(13,14)", "a*b*c*d"); When the translation term of the affine map is lambda1: NewSphereMachine( "a=(1,2)(3,25)(4,24)(5,23)(6,22)(7,21)(8,20)(9,19)(10,18)(11,17)(12,16)(13,15)", "b=<1,b,c^-1*b,c^-1*b,c^-1*b,c^-1,c^-1,1,1,1,1,1,1,1,1,1,1,1,1,c,c,c,b^-1*c,b^-1*c,b^-1*c>(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^-1,1,1,1,1,1,1,1,1,1,1,1,1,c,c,c,c,c,c*d>(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=<1,1,c^-1,c^-1,c^-1,c^-1,c^-1,1,1,1,1,1,1,1,1,1,1,1,1,1,c,c,c,c,c>(1,2)(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=(1,24)(2,23)(3,22)(4,21)(5,20)(6,19)(7,18)(8,17)(9,16)(10,15)(11,14)(12,13)", "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=(1,25)(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)", "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,c^-1,c^-1,c^-1,c^-1,c^-1,c^-1,1,1,1,1,1,1,1,1,1,1,1,1,c,c,c,c,c,c*d>(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,b,c^-1*b,c^-1*b,c^-1*b,c^-1,c^-1,1,1,1,1,1,1,1,1,1,1,1,1,c,c,c,b^-1*c,b^-1*c,b^-1*c>(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"); ****************************INTEGER OVERFLOW REPORT***************************** Imminent integer overflow caused the modular group computation to abort.