CMCLab 1.0

# 4-noid [++++]
# necksizes: {1/4, 1/4, 1/4, 1/4}
# center type: static center
# end weights: {3/4, 3/4, 3/4, 3/4}
# ends: {1, I, -1, -I}
# extra poles: {(-I/2)*(-I + Sqrt[3]), (I/2)*(I + Sqrt[3])}
# umbilics: {-(-1)^(1/3), (-1)^(2/3), ComplexInfinity, ComplexInfinity}

# file created: Mon May 13 18:32:30 2002

name 4-noid [++++]

potential
{{0,
  (-3/(8*(-1 + z)) + 1/(8*(-I + z)) + 1/(8*(I + z)) + 1/(8*(1 + z)))/t +
  (-1/(8*(-1 + z)) + 3/(8*(-I + z)) + 3/(8*(I + z)) + 3/(8*(1 + z)) - 1/(2*((I/2)*(-I + Sqrt[3]) + z)) - 1/(2*((-I/2)*(I + Sqrt[3]) + z)))},{
  -1/(8*(-1 + z)) + 3/(8*(-I + z)) + 3/(8*(I + z)) + 3/(8*(1 + z)) - 1/(2*((I/2)*(-I + Sqrt[3]) + z)) - 1/(2*((-I/2)*(I + Sqrt[3]) + z)) +
  (-3/(8*(-1 + z)) + 1/(8*(-I + z)) + 1/(8*(I + z)) + 1/(8*(1 + z)))t,
  0}}

domain triangulated
boundary
Loop
circle 0; 1274.56743439651; (0)2Pi; (1)2Pi; 6
Loop
circle -1; 0.000260980803057809; (0)2Pi; (1)2Pi; 24
Loop
circle -0.5 - 0.866025403784439 I; 0.000260980803057809; (0)2Pi; (1)2Pi; 24
Loop
circle -0.5 + 0.866025403784439 I; 0.000260980803057809; (0)2Pi; (1)2Pi; 24
Loop
circle -I; 0.000260980803057809; (0)2Pi; (1)2Pi; 24
Loop
circle I; 0.000260980803057809; (0)2Pi; (1)2Pi; 24
Loop
circle 1; 0.000260980803057809; (0)2Pi; (1)2Pi; 24
Hole
point -1
Hole
point -0.5 - 0.866025403784439 I
Hole
point -0.5 + 0.866025403784439 I
Hole
point -I
Hole
point I
Hole
point 1

max_area 0
min_angle 28
smooth 0
refine 0
max_area2 0.02

zstart 0
lambda R3 0
normalshift 1
polynomial_length 18
basis_length 32
birkhoff true
initial_integrator_count 100
integrator_count 1

xstart
{{+(-2.455520502296647e-9)t^(-8)
+(6.350281480300377e-8)t^(-7)
+(-1.2647851101001313e-6)t^(-6)
+(0.00001921204615469144)t^(-5)
+(-0.00020959099994172334)t^(-4)
+(0.0014674072092858098)t^(-3)
+(-0.004839175920851814)t^(-2)
+(-0.0059752557653058)t^(-1)
+(0.07017398507426992)
+(-0.005975255765306287)t
+(-0.004839175920850845)t^2
+(0.0014674072092843537)t^3
+(-0.00020959099993978162)t^4
+(0.000019212046152208938)t^5
+(-1.2647851072068264e-6)t^6
+(6.350281149300969e-8)t^7
+(-2.455516695661076e-9)t^8
,
+(-1.8832998785555125e-9)t^(-9)
+(4.745252199794505e-8)t^(-8)
+(-9.138073835573812e-7)t^(-7)
+(0.000013275630166385718)t^(-6)
+(-0.00013594637188040238)t^(-5)
+(0.0008574305044088705)t^(-4)
+(-0.0021321680664458426)t^(-3)
+(-0.006959524477326776)t^(-2)
+(0.03771137116893321)t^(-1)
+(0.026487358182190904)
+(-0.0038549071191226634)t
+(-0.0012396007673786216)t^2
+(0.00040038571119335747)t^3
+(-0.000054432624479821515)t^4
+(4.671688876688206e-6)t^5
+(-2.8753798250413223e-7)t^6
+(1.3667484638081018e-8)t^7
+(-6.563730880452492e-10)t^8
+(1.7346291620663338e-10)t^9
+(-1.816121733836374e-10)t^10
+(1.897612640507988e-10)t^11
+(-1.9791052122780283e-10)t^12
+(2.0605972506205998e-10)t^13
+(-2.14208760218176e-10)t^14
+(2.223580173680816e-10)t^15
+(-2.3050733051681103e-10)t^16
+(2.386564766952295e-10)t^17
+(-2.468055673116748e-10)t^18
},{
0,
+(7.774034439574167e-9)t^(-10)
+(-8.270864843567282e-8)t^(-9)
+(7.891629936406704e-7)t^(-8)
+(-5.815029692336078e-6)t^(-7)
+(0.00003064273578648114)t^(-6)
+(-0.00008913189350882872)t^(-5)
+(-0.00008969028686583487)t^(-4)
+(0.001979377869450203)t^(-3)
+(-0.00633847495452166)t^(-2)
+(-0.001430140516509117)t^(-1)
+(0.04031553488981054)
+(-0.03437301704232909)t
}}