These Thurston maps are NET maps for every choice of translation term. They are primitive and have degree 39. 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 12. ALL THURSTON MULTIPLIERS c/d IN UNREDUCED FORM 0/13, 0/39, 1/13, 1/3, 2/3, 1/1, 3/3, 4/3, 5/3, 2/1, 3/1, 4/1, 5/1, 6/1 7/1, 8/1, 9/1, 10/1, 11/1, 12/1, 14/1, 15/1, 17/1, 18/1 EXCLUDED INTERVALS FOR THE HALF-SPACE COMPUTATION (-infinity,-0.144754) (-0.139967,-0.137827) (-0.136003,-0.121253) (-0.120000,-0.097561) (-0.085305,-0.081451) (-0.080498,-0.073652) (-0.067923,-0.065456) (-0.056425,-0.054713) (-0.053212,-0.049488) (-0.048256,-0.046998) (-0.042154,-0.041191) (-0.039335,-0.037626) (-0.037421,-0.036660) (-0.033644,-0.033028) (-0.030560,-0.030050) (-0.027993,-0.027565) (-0.026316,-0.025000) (-0.023968,-0.023653) (-0.022360,-0.022086) (-0.020954,-0.020714) ( 0.020714,0.020954 ) ( 0.022086,0.022360 ) ( 0.023653,0.023968 ) ( 0.025000,0.026316 ) ( 0.027565,0.027993 ) ( 0.030050,0.030560 ) ( 0.033028,0.033644 ) ( 0.036660,0.037421 ) ( 0.037626,0.039335 ) ( 0.041191,0.042154 ) ( 0.046998,0.048256 ) ( 0.049488,0.053212 ) ( 0.054713,0.056425 ) ( 0.065456,0.067923 ) ( 0.073652,0.080498 ) ( 0.081451,0.085305 ) ( 0.097561,0.120000 ) ( 0.121253,0.136003 ) ( 0.137827,0.139967 ) ( 0.144754,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 (-0.147885,-0.141412) -11/76 HST (-0.143286,-0.142431) -1/7 EXTENDED HST (-0.147065,-0.132634) -7/50 EXTENDED HST -> HST (-0.131895,-0.109581) -3/25 EXTENDED HST -> HST (-0.098575,-0.097509) -4/41 EXTENDED HST -> HST (-0.104524,-0.089864) -11/113 HST (-0.097233,-0.095098) -2/21 EXTENDED HST -> HST (-0.090970,-0.090848) -1/11 EXTENDED HST (-0.096885,-0.078940) -2/23 EXTENDED HST -> HST (-0.080181,-0.064685) -3/41 EXTENDED HST -> HST (-0.071504,-0.071353) -1/14 EXTENDED HST (-0.065994,-0.062316) -2/31 EXTENDED HST -> HST (-0.062528,-0.062472) -1/16 EXTENDED HST (-0.062651,-0.060464) -2/33 EXTENDED HST -> HST (-0.061213,-0.058506) -3/50 EXTENDED HST -> HST (-0.058858,-0.058789) -1/17 EXTENDED HST (-0.058824,-0.056604) -2/35 EXTENDED HST -> HST (-0.057386,-0.055467) -3/53 HST (-0.059550,-0.047942) -2/37 EXTENDED HST -> HST (-0.050458,-0.042889) -3/64 HST (-0.046875,-0.045455) -2/43 EXTENDED HST -> HST (-0.045475,-0.045434) -1/22 EXTENDED HST (-0.043568,-0.041934) -2/47 EXTENDED HST -> HST (-0.045262,-0.036059) -2/49 EXTENDED HST -> HST (-0.040024,-0.039976) -1/25 EXTENDED HST (-0.036391,-0.035417) -4/111 HST (-0.035724,-0.035705) -1/28 EXTENDED HST (-0.039318,-0.031589) -3/85 HST (-0.035107,-0.034824) -2/57 HST (-0.034491,-0.034474) -1/29 EXTENDED HST (-0.037516,-0.025833) -3/95 HST (-0.031270,-0.031230) -1/32 EXTENDED HST (-0.025004,-0.024996) -1/40 EXTENDED HST (-0.027759,-0.021886) -3/121 HST (-0.024699,-0.024684) -2/81 EXTENDED HST (-0.024398,-0.024383) -1/41 EXTENDED HST (-0.022177,-0.021783) -4/183 HST (-0.022300,-0.021261) -11/505 HST (-0.021749,-0.021729) -1/46 EXTENDED HST (-0.023323,-0.018975) -3/142 HST (-0.021127,-0.020833) -2/95 HST (-0.021018,-0.016856) -4/211 HST (-0.018873,-0.018863) -1/53 EXTENDED HST (-0.018720,-0.014953) -2/119 HST (-0.016744,-0.016590) -1/60 HST (-0.015042,-0.014873) -8/535 HST (-0.014927,-0.014924) -1/67 EXTENDED HST (-0.016518,-0.013241) -3/202 HST (-0.014818,-0.014768) -2/135 HST (-0.014707,-0.014704) -1/68 EXTENDED HST (-0.015725,-0.010649) -3/227 HST (-0.013160,-0.013156) -1/76 EXTENDED HST (-0.010906,-0.010390) -11/1033 HST (-0.010639,-0.010637) -1/94 EXTENDED HST (-0.011494,-0.009209) -2/193 HST (-0.010331,-0.010183) -1/97 HST (-0.010173,-0.008224) -3/326 HST (-0.009175,-0.009173) -1/109 EXTENDED HST (-0.008864,-0.007567) -3/365 HST (-0.008198,-0.008196) -1/122 EXTENDED HST (-0.009022,-0.006110) -20/2643 HST (-0.007567,-0.007516) -2/265 HST (-0.007519,-0.007518) -1/133 EXTENDED HST (-0.006122,-0.006088) -3/491 HST (-0.006098,-0.006097) -1/164 EXTENDED HST (-0.006722,-0.005452) -3/493 HST (-0.006085,-0.006061) -2/329 HST (-0.006071,-0.006050) -1/165 HST (-0.005453,-0.005451) -7/1284 HST (-0.005451,-0.005450) -17/3119 HST (-0.005520,-0.005379) -43/7890 HST (-0.005450,-0.005449) -2/367 EXTENDED HST (-0.005435,-0.005435) -1/184 EXTENDED HST (-0.005384,-0.005368) -1/186 HST (-0.005376,-0.005357) -2/373 HST (-0.005921,-0.004791) -3/560 HST (-0.005348,-0.005347) -1/187 EXTENDED HST (-0.004935,0.004935 ) 0/1 EXTENDED HST ( 0.004029,0.005851 ) 2/405 HST ( 0.004950,0.004951 ) 1/202 EXTENDED HST ( 0.004968,0.004982 ) 1/201 HST ( 0.005000,0.005000 ) 1/200 EXTENDED HST ( 0.005025,0.005025 ) 1/199 EXTENDED HST ( 0.005043,0.005058 ) 1/198 HST ( 0.005076,0.005076 ) 1/197 EXTENDED HST ( 0.005102,0.005102 ) 1/196 EXTENDED HST ( 0.005102,0.005155 ) 1/195 HST ( 0.005154,0.005155 ) 1/194 EXTENDED HST ( 0.005181,0.005182 ) 1/193 EXTENDED HST ( 0.005201,0.005216 ) 1/192 HST ( 0.005235,0.005236 ) 1/191 EXTENDED HST ( 0.005263,0.005264 ) 1/190 EXTENDED HST ( 0.005283,0.005299 ) 1/189 HST ( 0.005319,0.005320 ) 1/188 EXTENDED HST ( 0.005347,0.005348 ) 1/187 EXTENDED HST ( 0.005368,0.005384 ) 1/186 HST ( 0.005405,0.005406 ) 1/185 EXTENDED HST ( 0.005435,0.005435 ) 1/184 EXTENDED HST ( 0.005456,0.005473 ) 1/183 HST ( 0.005477,0.005512 ) 1/182 HST ( 0.005524,0.005525 ) 1/181 EXTENDED HST ( 0.005547,0.005564 ) 1/180 HST ( 0.005586,0.005587 ) 1/179 EXTENDED HST ( 0.005618,0.005618 ) 1/178 EXTENDED HST ( 0.005641,0.005659 ) 1/177 HST ( 0.005675,0.005721 ) 1/175 HST ( 0.005738,0.005756 ) 1/174 HST ( 0.005780,0.005781 ) 1/173 EXTENDED HST ( 0.005814,0.005814 ) 1/172 EXTENDED HST ( 0.005838,0.005857 ) 1/171 HST ( 0.005219,0.006517 ) 2/341 HST ( 0.005882,0.005883 ) 1/170 EXTENDED HST ( 0.005897,0.005937 ) 1/169 HST ( 0.005943,0.005962 ) 1/168 HST ( 0.005988,0.005988 ) 1/167 EXTENDED HST ( 0.006024,0.006024 ) 1/166 EXTENDED HST ( 0.006050,0.006071 ) 1/165 HST ( 0.006097,0.006098 ) 1/164 EXTENDED HST ( 0.006134,0.006136 ) 1/163 EXTENDED HST ( 0.006162,0.006183 ) 1/162 HST ( 0.006211,0.006212 ) 1/161 EXTENDED HST ( 0.006250,0.006250 ) 1/160 EXTENDED HST ( 0.006278,0.006300 ) 1/159 HST ( 0.006329,0.006330 ) 1/158 EXTENDED HST ( 0.006369,0.006370 ) 1/157 EXTENDED HST ( 0.006369,0.006452 ) 1/156 HST ( 0.006451,0.006452 ) 1/155 EXTENDED HST ( 0.006493,0.006494 ) 1/154 EXTENDED HST ( 0.006514,0.006524 ) 3/460 HST ( 0.006192,0.006857 ) 18/2759 HST ( 0.006524,0.006548 ) 1/153 HST ( 0.006579,0.006579 ) 1/152 EXTENDED HST ( 0.006622,0.006623 ) 1/151 EXTENDED HST ( 0.006654,0.006679 ) 1/150 HST ( 0.006710,0.006712 ) 1/149 EXTENDED HST ( 0.006756,0.006757 ) 1/148 EXTENDED HST ( 0.006790,0.006816 ) 1/147 HST ( 0.006849,0.006850 ) 1/146 EXTENDED HST ( 0.006856,0.006861 ) 4/583 HST ( 0.006317,0.007409 ) 11/1603 HST ( 0.006863,0.006874 ) 2/291 HST ( 0.006896,0.006897 ) 1/145 EXTENDED HST ( 0.006931,0.006958 ) 1/144 HST ( 0.006965,0.007021 ) 1/143 HST ( 0.007042,0.007043 ) 1/142 EXTENDED HST ( 0.007078,0.007106 ) 1/141 HST ( 0.007142,0.007143 ) 1/140 EXTENDED HST ( 0.007194,0.007195 ) 1/139 EXTENDED HST ( 0.007232,0.007261 ) 1/138 HST ( 0.007288,0.007364 ) 1/136 HST ( 0.007392,0.007423 ) 1/135 HST ( 0.006844,0.008017 ) 3/404 HST ( 0.007426,0.007463 ) 2/269 HST ( 0.007462,0.007463 ) 1/134 EXTENDED HST ( 0.007518,0.007519 ) 1/133 EXTENDED HST ( 0.007560,0.007592 ) 1/132 HST ( 0.007633,0.007634 ) 1/131 EXTENDED HST ( 0.007658,0.007727 ) 1/130 HST ( 0.007735,0.007769 ) 1/129 HST ( 0.007812,0.007813 ) 1/128 EXTENDED HST ( 0.007874,0.007874 ) 1/127 EXTENDED HST ( 0.007919,0.007954 ) 1/126 HST ( 0.007999,0.008001 ) 1/125 EXTENDED HST ( 0.006555,0.009519 ) 2/249 HST ( 0.008063,0.008066 ) 1/124 EXTENDED HST ( 0.008112,0.008148 ) 1/123 HST ( 0.008196,0.008198 ) 1/122 EXTENDED HST ( 0.008264,0.008265 ) 1/121 EXTENDED HST ( 0.008314,0.008353 ) 1/120 HST ( 0.008402,0.008404 ) 1/119 EXTENDED HST ( 0.008474,0.008475 ) 1/118 EXTENDED HST ( 0.008475,0.008621 ) 1/117 HST ( 0.008620,0.008621 ) 1/116 EXTENDED HST ( 0.008695,0.008697 ) 1/115 EXTENDED HST ( 0.008751,0.008793 ) 1/114 HST ( 0.008849,0.008850 ) 1/113 EXTENDED HST ( 0.008928,0.008930 ) 1/112 EXTENDED HST ( 0.008987,0.009032 ) 1/111 HST ( 0.009089,0.009093 ) 1/110 EXTENDED HST ( 0.009173,0.009175 ) 1/109 EXTENDED HST ( 0.009236,0.009283 ) 1/108 HST ( 0.009345,0.009346 ) 1/107 EXTENDED HST ( 0.009433,0.009435 ) 1/106 EXTENDED HST ( 0.009499,0.009549 ) 1/105 HST ( 0.009069,0.010028 ) 7/733 HST ( 0.009554,0.009554 ) 3/314 EXTENDED HST ( 0.009562,0.009669 ) 1/104 HST ( 0.009707,0.009710 ) 1/103 EXTENDED HST ( 0.009777,0.009831 ) 1/102 HST ( 0.009900,0.009902 ) 1/101 EXTENDED HST ( 0.009999,0.010001 ) 1/100 EXTENDED HST ( 0.010000,0.010067 ) 2/199 HST ( 0.010043,0.010104 ) 3/298 HST ( 0.010073,0.010129 ) 1/99 HST ( 0.009030,0.011296 ) 2/197 HST ( 0.010183,0.010331 ) 1/97 HST ( 0.010387,0.010447 ) 1/96 HST ( 0.010525,0.010527 ) 1/95 EXTENDED HST ( 0.010637,0.010639 ) 1/94 EXTENDED HST ( 0.010721,0.010785 ) 1/93 HST ( 0.010868,0.010871 ) 1/92 EXTENDED HST ( 0.010920,0.011059 ) 1/91 HST ( 0.011077,0.011145 ) 1/90 HST ( 0.011235,0.011237 ) 1/89 EXTENDED HST ( 0.011293,0.011300 ) 23/2036 HST ( 0.011297,0.011327 ) 2/177 HST ( 0.010434,0.012219 ) 11/971 HST ( 0.011331,0.011345 ) 4/353 HST ( 0.011363,0.011365 ) 1/88 EXTENDED HST ( 0.011458,0.011531 ) 1/87 HST ( 0.011626,0.011630 ) 1/86 EXTENDED HST ( 0.011762,0.011768 ) 1/85 EXTENDED HST ( 0.011866,0.011944 ) 1/84 HST ( 0.012046,0.012050 ) 1/83 EXTENDED HST ( 0.012194,0.012197 ) 1/82 EXTENDED HST ( 0.009981,0.014495 ) 3/245 HST ( 0.012264,0.012352 ) 2/163 HST ( 0.012304,0.012388 ) 1/81 HST ( 0.012498,0.012502 ) 1/80 EXTENDED HST ( 0.012657,0.012659 ) 1/79 EXTENDED HST ( 0.012658,0.012987 ) 1/78 HST ( 0.012986,0.012988 ) 1/77 EXTENDED HST ( 0.013156,0.013160 ) 1/76 EXTENDED HST ( 0.013284,0.013383 ) 1/75 HST ( 0.013512,0.013515 ) 1/74 EXTENDED HST ( 0.013696,0.013701 ) 1/73 EXTENDED HST ( 0.013836,0.013943 ) 1/72 HST ( 0.014080,0.014089 ) 1/71 EXTENDED HST ( 0.014283,0.014288 ) 1/70 EXTENDED HST ( 0.014435,0.014551 ) 1/69 HST ( 0.014545,0.014760 ) 2/137 HST ( 0.014704,0.014707 ) 1/68 EXTENDED HST ( 0.014737,0.014761 ) 4/271 HST ( 0.013590,0.015948 ) 11/745 HST ( 0.014768,0.014818 ) 2/135 HST ( 0.014924,0.014927 ) 1/67 EXTENDED HST ( 0.015088,0.015215 ) 1/66 HST ( 0.015249,0.015522 ) 1/65 HST ( 0.015621,0.015629 ) 1/64 EXTENDED HST ( 0.015803,0.015943 ) 1/63 HST ( 0.015912,0.016141 ) 2/125 HST ( 0.016127,0.016131 ) 1/62 EXTENDED HST ( 0.016119,0.016270 ) 2/123 HST ( 0.016217,0.016418 ) 3/184 HST ( 0.016391,0.016396 ) 1/61 EXTENDED HST ( 0.016393,0.016575 ) 2/121 HST ( 0.016509,0.016675 ) 3/181 HST ( 0.016590,0.016744 ) 1/60 HST ( 0.014953,0.018720 ) 2/119 HST ( 0.016890,0.017303 ) 1/58 HST ( 0.017459,0.017630 ) 1/57 HST ( 0.017854,0.017860 ) 1/56 EXTENDED HST ( 0.018179,0.018184 ) 1/55 EXTENDED HST ( 0.018424,0.018614 ) 1/54 HST ( 0.016666,0.020783 ) 3/160 HST ( 0.018863,0.018873 ) 1/53 EXTENDED HST ( 0.019020,0.019447 ) 1/52 HST ( 0.019502,0.019715 ) 1/51 HST ( 0.019997,0.020003 ) 1/50 EXTENDED HST ( 0.020405,0.020411 ) 1/49 EXTENDED HST ( 0.020833,0.021127 ) 2/95 HST ( 0.018975,0.023323 ) 3/142 HST ( 0.021271,0.021282 ) 1/47 EXTENDED HST ( 0.021729,0.021749 ) 1/46 EXTENDED HST ( 0.019094,0.027729 ) 3/128 HST ( 0.023508,0.023831 ) 2/85 HST ( 0.027748,0.028200 ) 2/71 HST ( 0.023113,0.033567 ) 3/106 HST ( 0.028563,0.028579 ) 1/35 EXTENDED HST ( 0.029401,0.029423 ) 1/34 EXTENDED HST ( 0.033613,0.034783 ) 2/59 HST ( 0.034474,0.034491 ) 1/29 EXTENDED HST ( 0.034655,0.034789 ) 4/115 HST ( 0.032022,0.037638 ) 11/316 HST ( 0.034824,0.035107 ) 2/57 HST ( 0.035705,0.035724 ) 1/28 EXTENDED HST ( 0.035203,0.044182 ) 3/76 HST ( 0.039976,0.040024 ) 1/25 EXTENDED HST ( 0.043405,0.044521 ) 2/45 EXTENDED HST -> HST ( 0.044123,0.045646 ) 3/67 HST ( 0.045434,0.045475 ) 1/22 EXTENDED HST ( 0.045455,0.046875 ) 2/43 EXTENDED HST -> HST ( 0.046352,0.047684 ) 3/64 HST ( 0.043463,0.054606 ) 2/41 EXTENDED HST -> HST ( 0.052257,0.057060 ) 10/183 HST ( 0.054651,0.054802 ) 7/128 HST ( 0.056604,0.058824 ) 2/35 EXTENDED HST -> HST ( 0.058789,0.058858 ) 1/17 EXTENDED HST ( 0.058506,0.061213 ) 3/50 EXTENDED HST -> HST ( 0.060464,0.062651 ) 2/33 EXTENDED HST -> HST ( 0.062472,0.062528 ) 1/16 EXTENDED HST ( 0.062316,0.065994 ) 3/47 EXTENDED HST -> HST ( 0.064501,0.064531 ) 2/31 EXTENDED HST ( 0.061979,0.076853 ) 2/29 EXTENDED HST -> HST ( 0.071353,0.071504 ) 1/14 EXTENDED HST ( 0.074321,0.086560 ) 5/62 HST ( 0.081065,0.081097 ) 3/37 EXTENDED HST ( 0.078940,0.096885 ) 2/23 EXTENDED HST -> HST ( 0.090848,0.090970 ) 1/11 EXTENDED HST ( 0.089864,0.104524 ) 7/72 HST ( 0.097509,0.098575 ) 4/41 EXTENDED HST -> HST ( 0.109581,0.131895 ) 3/25 EXTENDED HST -> HST ( 0.109789,0.159442 ) 3/22 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 p/q with |p| <= 50 and |q| <= 50. The fixed point finder is unable to determine whether there are any slope function fixed points. Number of excluded intervals computed by the fixed point finder: 21279 Here is their union. There are no slope function fixed points whose negative reciprocals lie in any of the following intervals. EXCLUDED INTERVALS FOR THE FIXED POINT COMPUTATION (-infinity,-0.000305) (-0.000305,-0.000305) (-0.000110,0.000110 ) (38.980395,infinity ) 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=(2,3)(4,5)(6,7)(8,9)(10,11)(12,13)(14,15)(16,17)(18,19)(20,21)(22,23)(24,25)(26,27)(28,29)(30,31)(32,33)(34,35)(36,37)(38,39)", "b=<1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1>(2,3)(4,5)(6,7)(8,9)(10,11)(12,13)(14,15)(16,17)(18,19)(20,21)(22,23)(24,25)(26,27)(28,29)(30,31)(32,33)(34,35)(36,37)(38,39)", "c=<1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1>(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16)(17,18)(19,20)(21,22)(23,24)(25,26)(27,28)(29,30)(31,32)(33,34)(35,36)(37,38)", "d=(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16)(17,18)(19,20)(21,22)(23,24)(25,26)(27,28)(29,30)(31,32)(33,34)(35,36)(37,38)", "a*b*c*d"); When the translation term of the affine map is lambda1: NewSphereMachine( "a=<1,b,b^-1,b,b^-1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1>(2,3)(4,5)(6,7)(8,9)(10,11)(12,13)(14,15)(16,17)(18,19)(20,21)(22,23)(24,25)(26,27)(28,29)(30,31)(32,33)(34,35)(36,37)(38,39)", "b=(2,3)(4,5)(6,7)(8,9)(10,11)(12,13)(14,15)(16,17)(18,19)(20,21)(22,23)(24,25)(26,27)(28,29)(30,31)(32,33)(34,35)(36,37)(38,39)", "c=<1,d,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1>(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16)(17,18)(19,20)(21,22)(23,24)(25,26)(27,28)(29,30)(31,32)(33,34)(35,36)(37,38)", "d=(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16)(17,18)(19,20)(21,22)(23,24)(25,26)(27,28)(29,30)(31,32)(33,34)(35,36)(37,38)", "a*b*c*d"); When the translation term of the affine map is lambda2: NewSphereMachine( "a=(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16)(17,18)(19,20)(21,22)(23,24)(25,26)(27,28)(29,30)(31,32)(33,34)(35,36)(37,38)", "b=<1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1>(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16)(17,18)(19,20)(21,22)(23,24)(25,26)(27,28)(29,30)(31,32)(33,34)(35,36)(37,38)", "c=<1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1>(2,3)(4,5)(6,7)(8,9)(10,11)(12,13)(14,15)(16,17)(18,19)(20,21)(22,23)(24,25)(26,27)(28,29)(30,31)(32,33)(34,35)(36,37)(38,39)", "d=(2,3)(4,5)(6,7)(8,9)(10,11)(12,13)(14,15)(16,17)(18,19)(20,21)(22,23)(24,25)(26,27)(28,29)(30,31)(32,33)(34,35)(36,37)(38,39)", "a*b*c*d"); When the translation term of the affine map is lambda1+lambda2: NewSphereMachine( "a=(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16)(17,18)(19,20)(21,22)(23,24)(25,26)(27,28)(29,30)(31,32)(33,34)(35,36)(37,38)", "b=<1,d,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1>(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16)(17,18)(19,20)(21,22)(23,24)(25,26)(27,28)(29,30)(31,32)(33,34)(35,36)(37,38)", "c=(2,3)(4,5)(6,7)(8,9)(10,11)(12,13)(14,15)(16,17)(18,19)(20,21)(22,23)(24,25)(26,27)(28,29)(30,31)(32,33)(34,35)(36,37)(38,39)", "d=<1,d*a,b*c,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1>(2,3)(4,5)(6,7)(8,9)(10,11)(12,13)(14,15)(16,17)(18,19)(20,21)(22,23)(24,25)(26,27)(28,29)(30,31)(32,33)(34,35)(36,37)(38,39)", "a*b*c*d"); ****************************INTEGER OVERFLOW REPORT***************************** Imminent integer overflow occurred during the computation of a fixed point excluded interval about -1/2263. Imminent integer overflow occurred during the computation of a fixed point excluded interval about -1/2300. Imminent integer overflow occurred during the computation of a fixed point excluded interval about -39/91766. Imminent integer overflow occurred during the computation of a fixed point excluded interval about -39/91766. Imminent integer overflow occurred during the computation of a fixed point excluded interval about -39/91766. Imminent integer overflow occurred during the computation of a fixed point excluded interval about -1/2416. Imminent integer overflow occurred during the computation of a fixed point excluded interval about -39/95315. Imminent integer overflow occurred during the computation of a fixed point excluded interval about -39/95315. Imminent integer overflow occurred during the computation of a fixed point excluded interval about -39/95315. Imminent integer overflow occurred during the computation of a fixed point excluded interval about -9/22183. Imminent integer overflow occurred during the computation of a fixed point excluded interval about -1/2498. Imminent integer overflow occurred during the computation of a fixed point excluded interval about -1/2533. Imminent integer overflow occurred during the computation of a fixed point excluded interval about -1/2573. Imminent integer overflow occurred during the computation of a fixed point excluded interval about -1/2654. Imminent integer overflow occurred during the computation of a fixed point excluded interval about -1/2888. Imminent integer overflow occurred during the computation of a fixed point excluded interval about -1/3004. Imminent integer overflow occurred during the computation of a fixed point excluded interval about -39/117370. Imminent integer overflow occurred during the computation of a fixed point excluded interval about -5/15572. Imminent integer overflow occurred during the computation of a fixed point excluded interval about -1/3121. Imminent integer overflow occurred during the computation of a fixed point excluded interval about -1/3196. Imminent integer overflow occurred during the computation of a fixed point excluded interval about -1/3275. Imminent integer overflow occurred during the computation of a fixed point excluded interval about -39/127763. Imminent integer overflow occurred during the computation of a fixed point excluded interval about -39/127763. Imminent integer overflow occurred during the computation of a fixed point excluded interval about -39/127763. Imminent integer overflow occurred during the computation of a fixed point excluded interval about -39/127763. Imminent integer overflow occurred during the computation of a fixed point excluded interval about -39/127763. Imminent integer overflow occurred during the computation of a fixed point excluded interval about -39/127763. Imminent integer overflow occurred during the computation of a fixed point excluded interval about -39/127763. Imminent integer overflow occurred during the computation of a fixed point excluded interval about -39/127763. Imminent integer overflow occurred during the computation of a fixed point excluded interval about -1/3278. Imminent integer overflow caused the modular group computation to abort.