These Thurston maps are NET maps for every choice of translation term.
They are primitive and have degree 38.
ALL THURSTON MULTIPLIERS c/d IN UNREDUCED FORM
0/1, 0/19, 0/38, 1/2, 1/1, 2/2, 3/2, 2/1, 4/2, 3/1, 6/2, 7/2, 4/1, 5/1, 6/1
7/1, 9/1, 10/1, 11/1, 13/1, 14/1, 23/1, 33/1
EXCLUDED INTERVALS FOR THE HALF-SPACE COMPUTATION
(-39.414214,-36.585786)
(-20.000000,-18.000000)
(-13.483163,-11.850170)
(-10.207107,-8.792893 )
( -8.232456,-6.967544 )
( -6.910684,-2.030173 )
( -1.970711,-1.169185 )
( -1.167573,-1.138266 )
( -1.128322,-1.108612 )
( -1.092164,-1.080108 )
( -1.058824,-1.052632 )
( -1.028101,-1.026032 )
( -0.975256,-0.973394 )
( -0.952381,-0.947368 )
( -0.930954,-0.922180 )
( -0.910771,-0.897885 )
( -0.891686,-0.874491 )
( -0.873589,-0.753014 )
( -0.750000,-0.669986 )
( -0.663380,-0.600000 )
( -0.598085,-0.589782 )
( -0.582859,-0.569777 )
( -0.566097,-0.552992 )
( -0.547565,-0.538997 )
( -0.530146,-0.525754 )
( -0.514286,-0.512821 )
( -0.487805,-0.486486 )
( -0.476651,-0.473098 )
( -0.466265,-0.460038 )
( -0.456276,-0.447724 )
( -0.445449,-0.437767 )
( -0.433941,-0.429554 )
( -0.428571,-0.401193 )
( -0.398815,-0.375000 )
( 0.375000,0.398815 )
( 0.401193,0.428571 )
( 0.429554,0.433941 )
( 0.437767,0.445449 )
( 0.447724,0.456276 )
( 0.460038,0.466265 )
( 0.473098,0.476651 )
( 0.486486,0.487805 )
( 0.512821,0.514286 )
( 0.525754,0.530146 )
( 0.538997,0.547565 )
( 0.552992,0.566097 )
( 0.569777,0.582859 )
( 0.589782,0.598085 )
( 0.600000,0.663380 )
( 0.669986,0.750000 )
( 0.753014,0.873589 )
( 0.874491,0.891686 )
( 0.897885,0.910771 )
( 0.922180,0.930954 )
( 0.947368,0.952381 )
( 0.973394,0.975256 )
( 1.026032,1.028101 )
( 1.052632,1.058824 )
( 1.080108,1.092164 )
( 1.108612,1.128322 )
( 1.138266,1.167573 )
( 1.169185,1.970711 )
( 2.030173,6.910684 )
( 6.967544,8.232456 )
( 8.792893,10.207107 )
( 11.850170,13.483163 )
( 18.000000,20.000000 )
( 36.585786,39.414214 )
1/0 is the slope of a Thurston obstruction with c = 1 and d = 1.
These NET maps are not rational.
SLOPE FUNCTION INFORMATION
NUMBER OF FIXED POINTS FOUND: 1 EQUATOR?
FIXED POINT c d 0 lambda1 lambda2 lambda1+lambda2
1/0 1 1 No No No No
NUMBER OF EQUATORS FOUND: 0 0 0 0
The fixed point finder is unable to determine whether
there are any more slope function fixed points.
Number of excluded intervals computed by the fixed point finder: 323
No nontrivial cycles were found.
The slope function maps some slope to the nonslope.
If the slope function maps slope s to a slope s' and
if the intersection pairing of s with 1/0 is n, then
the intersection pairing of s' with 1/0 is at most n.
The slope function orbit of every slope whose intersection
pairing with 1/0 is at most 50 ends in either the
nonslope or one of the slopes described above.
FUNDAMENTAL GROUP WREATH RECURSIONS
When the translation term of the affine map is 0:
NewSphereMachine(
"a=**(1,37)(2,36)(3,35)(4,34)(5,33)(6,32)(7,31)(8,30)(9,29)(10,28)(11,27)(12,26)(13,25)(14,24)(15,23)(16,22)(17,21)(18,20)",
"b=(1,38)(2,37)(3,36)(4,35)(5,34)(6,33)(7,32)(8,31)(9,30)(10,29)(11,28)(12,27)(13,26)(14,25)(15,24)(16,23)(17,22)(18,21)(19,20)",
"c=(1,38)(2,37)(3,36)(4,35)(5,34)(6,33)(7,32)(8,31)(9,30)(10,29)(11,28)(12,27)(13,26)(14,25)(15,24)(16,23)(17,22)(18,21)(19,20)",
"d=****(1,37)(2,36)(3,35)(4,34)(5,33)(6,32)(7,31)(8,30)(9,29)(10,28)(11,27)(12,26)(13,25)(14,24)(15,23)(16,22)(17,21)(18,20)",
"a*b*c*d");
When the translation term of the affine map is lambda1:
NewSphereMachine(
"a=<1,d,c^-1,c^-1,c^-1,c^-1,c^-1,c^-1,c^-1,c^-1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,c,c,c,c,c,c,c,c>(1,2)(3,38)(4,37)(5,36)(6,35)(7,34)(8,33)(9,32)(10,31)(11,30)(12,29)(13,28)(14,27)(15,26)(16,25)(17,24)(18,23)(19,22)(20,21)",
"b=<1,b,c^-1*b,c^-1,c^-1,c^-1,c^-1,c^-1,c^-1,c^-1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,c,c,c,c,c,c,c,c,b^-1*c>(2,38)(3,37)(4,36)(5,35)(6,34)(7,33)(8,32)(9,31)(10,30)(11,29)(12,28)(13,27)(14,26)(15,25)(16,24)(17,23)(18,22)(19,21)",
"c=<1,c^-1,c^-1,c^-1,c^-1,c^-1,c^-1,c^-1,c^-1,c^-1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,c,c,c,c,c,c,c,c,c>(2,38)(3,37)(4,36)(5,35)(6,34)(7,33)(8,32)(9,31)(10,30)(11,29)(12,28)(13,27)(14,26)(15,25)(16,24)(17,23)(18,22)(19,21)",
"d=(1,2)(3,38)(4,37)(5,36)(6,35)(7,34)(8,33)(9,32)(10,31)(11,30)(12,29)(13,28)(14,27)(15,26)(16,25)(17,24)(18,23)(19,22)(20,21)",
"a*b*c*d");
When the translation term of the affine map is lambda2:
NewSphereMachine(
"a=<1,c^-1,c^-1,c^-1,c^-1,c^-1,c^-1,c^-1,c^-1,c^-1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,c,c,c,c,c,c,c,c,c>(2,38)(3,37)(4,36)(5,35)(6,34)(7,33)(8,32)(9,31)(10,30)(11,29)(12,28)(13,27)(14,26)(15,25)(16,24)(17,23)(18,22)(19,21)",
"b=(1,38)(2,37)(3,36)(4,35)(5,34)(6,33)(7,32)(8,31)(9,30)(10,29)(11,28)(12,27)(13,26)(14,25)(15,24)(16,23)(17,22)(18,21)(19,20)",
"c=(1,38)(2,37)(3,36)(4,35)(5,34)(6,33)(7,32)(8,31)(9,30)(10,29)(11,28)(12,27)(13,26)(14,25)(15,24)(16,23)(17,22)(18,21)(19,20)",
"d=<1,d*a,c^-1,c^-1,c^-1,c^-1,c^-1,c^-1,c^-1,c^-1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,c,c,c,c,c,c,c,b*c,c*b*c>(2,38)(3,37)(4,36)(5,35)(6,34)(7,33)(8,32)(9,31)(10,30)(11,29)(12,28)(13,27)(14,26)(15,25)(16,24)(17,23)(18,22)(19,21)",
"a*b*c*d");
When the translation term of the affine map is lambda1+lambda2:
NewSphereMachine(
"a=(1,38)(2,37)(3,36)(4,35)(5,34)(6,33)(7,32)(8,31)(9,30)(10,29)(11,28)(12,27)(13,26)(14,25)(15,24)(16,23)(17,22)(18,21)(19,20)",
"b=<1,c^-1,c^-1,c^-1,c^-1,c^-1,c^-1,c^-1,c^-1,c^-1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,c,c,c,c,c,c,c,c,c>(2,38)(3,37)(4,36)(5,35)(6,34)(7,33)(8,32)(9,31)(10,30)(11,29)(12,28)(13,27)(14,26)(15,25)(16,24)(17,23)(18,22)(19,21)",
"c=<1,b,c^-1*b,c^-1,c^-1,c^-1,c^-1,c^-1,c^-1,c^-1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,c,c,c,c,c,c,c,c,b^-1*c>(2,38)(3,37)(4,36)(5,35)(6,34)(7,33)(8,32)(9,31)(10,30)(11,29)(12,28)(13,27)(14,26)(15,25)(16,24)(17,23)(18,22)(19,21)",
"d=****(1,38)(2,37)(3,36)(4,35)(5,34)(6,33)(7,32)(8,31)(9,30)(10,29)(11,28)(12,27)(13,26)(14,25)(15,24)(16,23)(17,22)(18,21)(19,20)",
"a*b*c*d");
****************************INTEGER OVERFLOW REPORT*****************************
Imminent integer overflow occurred during the computation
of a fixed point excluded interval about 189/566.
Imminent integer overflow occurred during the computation
of a fixed point excluded interval about 191/572.
Imminent integer overflow occurred during the computation
of a fixed point excluded interval about 265/794.
Imminent integer overflow occurred during the computation
of a fixed point excluded interval about 265/794.
Imminent integer overflow occurred during the computation
of a fixed point excluded interval about 267/800.
Imminent integer overflow occurred during the computation
of a fixed point excluded interval about 267/800.
Imminent integer overflow occurred during the computation
of a fixed point excluded interval about 284/851.
Imminent integer overflow occurred during the computation
of a fixed point excluded interval about 287/860.
Imminent integer overflow occurred during the computation
of a fixed point excluded interval about 321/962.
Imminent integer overflow occurred during the computation
of a fixed point excluded interval about 324/971.
Imminent integer overflow occurred during the computation
of a fixed point excluded interval about 324/971.
Imminent integer overflow occurred during the computation
of a fixed point excluded interval about 341/1022.
Imminent integer overflow occurred during the computation
of a fixed point excluded interval about 341/1022.
Imminent integer overflow occurred during the computation
of a fixed point excluded interval about 343/1028.
Imminent integer overflow occurred during the computation
of a fixed point excluded interval about 343/1028.
Imminent integer overflow occurred during the computation
of a fixed point excluded interval about 360/1079.
Imminent integer overflow occurred during the computation
of a fixed point excluded interval about 360/1079.
Imminent integer overflow occurred during the computation
of a fixed point excluded interval about 362/1085.
Imminent integer overflow occurred during the computation
of a fixed point excluded interval about 363/1088.
Imminent integer overflow occurred during the computation
of a fixed point excluded interval about 367/1100.
Imminent integer overflow occurred during the computation
of a fixed point excluded interval about 393/1178.
Imminent integer overflow occurred during the computation
of a fixed point excluded interval about 398/1193.
Imminent integer overflow occurred during the computation
of a fixed point excluded interval about 400/1199.
Imminent integer overflow occurred during the computation
of a fixed point excluded interval about 400/1199.
Imminent integer overflow occurred during the computation
of a fixed point excluded interval about 417/1250.
Imminent integer overflow occurred during the computation
of a fixed point excluded interval about 419/1256.
Imminent integer overflow occurred during the computation
of a fixed point excluded interval about 436/1307.
Imminent integer overflow occurred during the computation
of a fixed point excluded interval about 436/1307.
Imminent integer overflow occurred during the computation
of a fixed point excluded interval about 438/1313.
Imminent integer overflow halted computation of the slope function
at slope -2226464/5321197 during the modular group computation.
This caused the modular group computation to abort.
**