CMCLab 1.0

# 3-noid [---]
# necksizes: {-1/3, -1/3, -1/3}
# center type: central bulge
# end weights: {-16/9, -16/9, -16/9}
# ends: {1, -1/2 + (I/2)*Sqrt[3], -1/2 - (I/2)*Sqrt[3]}
# extra poles: {(7*I - 7*Sqrt[3] + I*Sqrt[(42*I)*(I + Sqrt[3])])/(-8*I - 4*Sqrt[3]), (-7*I + 7*Sqrt[3] + I*Sqrt[(42*I)*(I + Sqrt[3])])/(4*(2*I + Sqrt[3])), (1 - I*Sqrt[3])/2}
# umbilics: {(-7 - (7*I)*Sqrt[3] - Sqrt[3*(-14 + (14*I)*Sqrt[3])])/(2*(4 - (2*I)*Sqrt[3])), (-7 - (7*I)*Sqrt[3] + Sqrt[3*(-14 + (14*I)*Sqrt[3])])/(2*(4 - (2*I)*Sqrt[3]))}

# file created: Mon May 13 18:28:25 2002

name 3-noid [---]

potential
{{-Sqrt[7]/(6*(-1 + z)) + Sqrt[7]/(6*(1/2 - (I/2)*Sqrt[3] + z)) + Sqrt[7]/(6*(1/2 + (I/2)*Sqrt[3] + z)) + Sqrt[7]/(6*((-1 + I*Sqrt[3])/2 + z)) - Sqrt[7]/(6*(-((7*I - 7*Sqrt[3] + I*Sqrt[(42*I)*(I + Sqrt[3])])/(-8*I - 4*Sqrt[3])) + z)) - Sqrt[7]/(6*(-(-7*I + 7*Sqrt[3] + I*Sqrt[(42*I)*(I + Sqrt[3])])/(4*(2*I + Sqrt[3])) + z)),
  (Sqrt[2]/(3*(-1 + z)) - Sqrt[2]/(3*(1/2 - (I/2)*Sqrt[3] + z)) + 1/(3*Sqrt[2]*(1/2 + (I/2)*Sqrt[3] + z)) - 1/(3*Sqrt[2]*((-1 + I*Sqrt[3])/2 + z)))/t +
  (-1/(3*Sqrt[2]*(-1 + z)) + 1/(3*Sqrt[2]*(1/2 - (I/2)*Sqrt[3] + z)) - Sqrt[2]/(3*(1/2 + (I/2)*Sqrt[3] + z)) + 1/(3*Sqrt[2]*(-((7*I - 7*Sqrt[3] + I*Sqrt[(42*I)*(I + Sqrt[3])])/(-8*I - 4*Sqrt[3])) + z)) + 1/(3*Sqrt[2]*(-(-7*I + 7*Sqrt[3] + I*Sqrt[(42*I)*(I + Sqrt[3])])/(4*(2*I + Sqrt[3])) + z)))},{
  -1/(3*Sqrt[2]*(-1 + z)) + 1/(3*Sqrt[2]*(1/2 - (I/2)*Sqrt[3] + z)) - Sqrt[2]/(3*(1/2 + (I/2)*Sqrt[3] + z)) + 1/(3*Sqrt[2]*(-((7*I - 7*Sqrt[3] + I*Sqrt[(42*I)*(I + Sqrt[3])])/(-8*I - 4*Sqrt[3])) + z)) + 1/(3*Sqrt[2]*(-(-7*I + 7*Sqrt[3] + I*Sqrt[(42*I)*(I + Sqrt[3])])/(4*(2*I + Sqrt[3])) + z)) +
  (Sqrt[2]/(3*(-1 + z)) - Sqrt[2]/(3*(1/2 - (I/2)*Sqrt[3] + z)) + 1/(3*Sqrt[2]*(1/2 + (I/2)*Sqrt[3] + z)) - 1/(3*Sqrt[2]*((-1 + I*Sqrt[3])/2 + z)))t,
  -(-Sqrt[7]/(6*(-1 + z)) + Sqrt[7]/(6*(1/2 - (I/2)*Sqrt[3] + z)) + Sqrt[7]/(6*(1/2 + (I/2)*Sqrt[3] + z)) + Sqrt[7]/(6*((-1 + I*Sqrt[3])/2 + z)) - Sqrt[7]/(6*(-((7*I - 7*Sqrt[3] + I*Sqrt[(42*I)*(I + Sqrt[3])])/(-8*I - 4*Sqrt[3])) + z)) - Sqrt[7]/(6*(-(-7*I + 7*Sqrt[3] + I*Sqrt[(42*I)*(I + Sqrt[3])])/(4*(2*I + Sqrt[3])) + z)))}}

domain triangulated
boundary
Loop
circle 0; 1006.61772254055; (0)2Pi; (1)2Pi; 6
Loop
circle -0.5 - 0.866025403784439 I; 0.000511299981155263; (0)2Pi; (1)2Pi; 24
Loop
circle -0.5 + 0.866025403784439 I; 0.000511299981155263; (0)2Pi; (1)2Pi; 24
Loop
circle 0.0863365823230059 - 0.448618041405897 I; 0.000511299981155263; (0)2Pi; (1)2Pi; 24
Loop
circle 0.413663417676994 - 2.14945816994742 I; 0.000511299981155263; (0)2Pi; (1)2Pi; 24
Loop
circle 0.5 - 0.866025403784439 I; 0.000511299981155263; (0)2Pi; (1)2Pi; 24
Loop
circle 1; 0.000511299981155263; (0)2Pi; (1)2Pi; 24
Hole
point -0.5 - 0.866025403784439 I
Hole
point -0.5 + 0.866025403784439 I
Hole
point 0.0863365823230059 - 0.448618041405897 I
Hole
point 0.413663417676994 - 2.14945816994742 I
Hole
point 0.5 - 0.866025403784439 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
{{+(-1.981520523246227e-10 + 1.8316442702609863e-10*I)t^(-12)
+(-3.6736925351888935e-9 + 2.5217547554661246e-9*I)t^(-11)
+(-4.976185177415479e-8 + 2.9008590292158664e-8*I)t^(-10)
+(-5.655866967320674e-7 + 2.487440410636589e-7*I)t^(-9)
+(-5.220651958263458e-6 + 1.3207241214050309e-6*I)t^(-8)
+(-0.000037446105432820806 - 6.084989642271423e-7*I)t^(-7)
+(-0.00020505156957079007 - 0.00009794361763806685*I)t^(-6)
+(-0.0010230151805974042 - 0.0010630214961850734*I)t^(-5)
+(-0.006802096724358136 - 0.0052248762370028425*I)t^(-4)
+(-0.0453204585298756 - 0.0005360348391705606*I)t^(-3)
+(-0.17605314054283594 + 0.11109666566499762*I)t^(-2)
+(-0.292652876437772 + 0.34614187292508003*I)t^(-1)
+(-0.22335030656461063)
+(-0.292652876437772 - 0.34614187292508003*I)t
+(-0.17605314054283594 - 0.11109666566499762*I)t^2
+(-0.0453204585298756 + 0.0005360348391705606*I)t^3
+(-0.006802096724358136 + 0.0052248762370028425*I)t^4
+(-0.0010230151805974042 + 0.0010630214961850734*I)t^5
+(-0.00020505156957079007 + 0.00009794361763806685*I)t^6
+(-0.000037446105432820806 + 6.084989642271423e-7*I)t^7
+(-5.220651958263458e-6 - 1.3207241214050309e-6*I)t^8
+(-5.655866967320674e-7 - 2.487440410636589e-7*I)t^9
+(-4.976185177415479e-8 - 2.9008590292158664e-8*I)t^10
+(-3.6736925351888935e-9 - 2.5217547554661246e-9*I)t^11
+(-1.981520523246227e-10 - 1.8316442702609863e-10*I)t^12
,
+(2.7764112599952424e-10*I)t^(-13)
+(6.513193159680578e-10 + 4.867107467925069e-9*I)t^(-12)
+(7.098630730056083e-9 + 6.617927314252708e-8*I)t^(-11)
+(6.365616156108695e-8 + 7.537068069975686e-7*I)t^(-10)
+(5.829196549185711e-7 + 7.049791129750291e-6*I)t^(-9)
+(6.968209295303326e-6 + 0.00005247571018942737*I)t^(-8)
+(0.00008680722867981523 + 0.0002953783337464934*I)t^(-7)
+(0.0008296268152075192 + 0.0011572875627787035*I)t^(-6)
+(0.005410706606381861 + 0.0027346240438887747*I)t^(-5)
+(0.022834201778145387 + 0.0026910108644817585*I)t^(-4)
+(0.057467435248584026 - 0.0030170468767675013*I)t^(-3)
+(0.07111677219251135 - 0.01718262376523161*I)t^(-2)
+(0.03617595640555033 - 0.039683329956820425*I)t^(-1)
+(0.010300751285104891 + 0.0350142185409375*I)
+(0.06629946769812164 + 0.05925359099819218*I)t
+(0.045018359183307786 - 0.01686964166758601*I)t^2
+(0.005400789978617645 - 0.01909972368860509*I)t^3
+(-0.002249119174320289 - 0.0048777194989947335*I)t^4
+(-0.0009632906818893718 - 0.0005027479041526607*I)t^5
+(-0.00019428733744530018 + 0.000012075497683548766*I)t^6
+(-0.0000276072878141561 + 0.000011885988239964256*I)t^7
+(-3.1408734180399137e-6 + 2.1379273226967677e-6*I)t^8
+(-2.9967913998602845e-7 + 2.5414656362853313e-7*I)t^9
+(-2.4216985715602994e-8 + 2.3423477614752396e-8*I)t^10
+(-1.7316648848542503e-9 + 1.7685683879340468e-9*I)t^11
+(-1.0044492620831536e-10)t^12
},{
0,
+(5.536579521862628e-9 + 8.429615723474145e-9*I)t^(-11)
+(4.1337469130889396e-8 + 3.767647977394412e-8*I)t^(-10)
+(3.215613694201268e-7 + 1.3593480297090686e-7*I)t^(-9)
+(1.905966459113728e-6 - 8.072490593126038e-8*I)t^(-8)
+(8.370836133740395e-6 - 5.14545258356971e-6*I)t^(-7)
+(0.000018842356411151284 - 0.00004112967243564716*I)t^(-6)
+(-0.00005630299319581073 - 0.00018174077673062332*I)t^(-5)
+(-0.0007225792438928127 - 0.0003479902755436575*I)t^(-4)
+(-0.0029428186584394785 + 0.0010239379995568719*I)t^(-3)
+(-0.003970746952962113 + 0.0090416370908777*I)t^(-2)
+(0.012279320360774943 + 0.024804023666651093*I)t^(-1)
+(0.05226097073367415 + 0.023470603980961905*I)
+(0.0331923678603889 - 0.004404250333100362*I)t
+(-0.0924749512775316 + 0.02699585806453886*I)t^2
+(-0.078768115468982 + 0.04155965850214897*I)t^3
+(0.04488651708037296 - 0.05911893613997301*I)t^4
+(0.03628685096537078 - 0.06279662797036108*I)t^5
}}