13 files changed, 1097 insertions, 0 deletions

diff --git a/buch/papers/laguerre/images/estimates.pdf b/buch/papers/laguerre/images/estimates.pdf
new file mode 100644
index 0000000..fe48f47
--- /dev/null
+++ b/buch/papers/laguerre/images/estimates.pdf
diff --git a/buch/papers/laguerre/images/gammapaths.tex b/buch/papers/laguerre/images/gammapaths.tex
new file mode 100644
index 0000000..efa0863
--- /dev/null
+++ b/buch/papers/laguerre/images/gammapaths.tex
@@ -0,0 +1,1024 @@
+\def\gammaplus{({\dx*0.0190},{\dy*52.0728})
+ -- ({\dx*0.0200},{\dy*49.4422})
+ -- ({\dx*0.0400},{\dy*24.4610})
+ -- ({\dx*0.0600},{\dy*16.1457})
+ -- ({\dx*0.0800},{\dy*11.9966})
+ -- ({\dx*0.1000},{\dy*9.5135})
+ -- ({\dx*0.1200},{\dy*7.8633})
+ -- ({\dx*0.1400},{\dy*6.6887})
+ -- ({\dx*0.1600},{\dy*5.8113})
+ -- ({\dx*0.1800},{\dy*5.1318})
+ -- ({\dx*0.2000},{\dy*4.5908})
+ -- ({\dx*0.2200},{\dy*4.1505})
+ -- ({\dx*0.2400},{\dy*3.7855})
+ -- ({\dx*0.2600},{\dy*3.4785})
+ -- ({\dx*0.2800},{\dy*3.2169})
+ -- ({\dx*0.3000},{\dy*2.9916})
+ -- ({\dx*0.3200},{\dy*2.7958})
+ -- ({\dx*0.3400},{\dy*2.6242})
+ -- ({\dx*0.3600},{\dy*2.4727})
+ -- ({\dx*0.3800},{\dy*2.3383})
+ -- ({\dx*0.4000},{\dy*2.2182})
+ -- ({\dx*0.4200},{\dy*2.1104})
+ -- ({\dx*0.4400},{\dy*2.0132})
+ -- ({\dx*0.4600},{\dy*1.9252})
+ -- ({\dx*0.4800},{\dy*1.8453})
+ -- ({\dx*0.5000},{\dy*1.7725})
+ -- ({\dx*0.5200},{\dy*1.7058})
+ -- ({\dx*0.5400},{\dy*1.6448})
+ -- ({\dx*0.5600},{\dy*1.5886})
+ -- ({\dx*0.5800},{\dy*1.5369})
+ -- ({\dx*0.6000},{\dy*1.4892})
+ -- ({\dx*0.6200},{\dy*1.4450})
+ -- ({\dx*0.6400},{\dy*1.4041})
+ -- ({\dx*0.6600},{\dy*1.3662})
+ -- ({\dx*0.6800},{\dy*1.3309})
+ -- ({\dx*0.7000},{\dy*1.2981})
+ -- ({\dx*0.7200},{\dy*1.2675})
+ -- ({\dx*0.7400},{\dy*1.2390})
+ -- ({\dx*0.7600},{\dy*1.2123})
+ -- ({\dx*0.7800},{\dy*1.1875})
+ -- ({\dx*0.8000},{\dy*1.1642})
+ -- ({\dx*0.8200},{\dy*1.1425})
+ -- ({\dx*0.8400},{\dy*1.1222})
+ -- ({\dx*0.8600},{\dy*1.1031})
+ -- ({\dx*0.8800},{\dy*1.0853})
+ -- ({\dx*0.9000},{\dy*1.0686})
+ -- ({\dx*0.9200},{\dy*1.0530})
+ -- ({\dx*0.9400},{\dy*1.0384})
+ -- ({\dx*0.9600},{\dy*1.0247})
+ -- ({\dx*0.9800},{\dy*1.0119})
+ -- ({\dx*1.0000},{\dy*1.0000})
+ -- ({\dx*1.0200},{\dy*0.9888})
+ -- ({\dx*1.0400},{\dy*0.9784})
+ -- ({\dx*1.0600},{\dy*0.9687})
+ -- ({\dx*1.0800},{\dy*0.9597})
+ -- ({\dx*1.1000},{\dy*0.9514})
+ -- ({\dx*1.1200},{\dy*0.9436})
+ -- ({\dx*1.1400},{\dy*0.9364})
+ -- ({\dx*1.1600},{\dy*0.9298})
+ -- ({\dx*1.1800},{\dy*0.9237})
+ -- ({\dx*1.2000},{\dy*0.9182})
+ -- ({\dx*1.2200},{\dy*0.9131})
+ -- ({\dx*1.2400},{\dy*0.9085})
+ -- ({\dx*1.2600},{\dy*0.9044})
+ -- ({\dx*1.2800},{\dy*0.9007})
+ -- ({\dx*1.3000},{\dy*0.8975})
+ -- ({\dx*1.3200},{\dy*0.8946})
+ -- ({\dx*1.3400},{\dy*0.8922})
+ -- ({\dx*1.3600},{\dy*0.8902})
+ -- ({\dx*1.3800},{\dy*0.8885})
+ -- ({\dx*1.4000},{\dy*0.8873})
+ -- ({\dx*1.4200},{\dy*0.8864})
+ -- ({\dx*1.4400},{\dy*0.8858})
+ -- ({\dx*1.4600},{\dy*0.8856})
+ -- ({\dx*1.4800},{\dy*0.8857})
+ -- ({\dx*1.5000},{\dy*0.8862})
+ -- ({\dx*1.5200},{\dy*0.8870})
+ -- ({\dx*1.5400},{\dy*0.8882})
+ -- ({\dx*1.5600},{\dy*0.8896})
+ -- ({\dx*1.5800},{\dy*0.8914})
+ -- ({\dx*1.6000},{\dy*0.8935})
+ -- ({\dx*1.6200},{\dy*0.8959})
+ -- ({\dx*1.6400},{\dy*0.8986})
+ -- ({\dx*1.6600},{\dy*0.9017})
+ -- ({\dx*1.6800},{\dy*0.9050})
+ -- ({\dx*1.7000},{\dy*0.9086})
+ -- ({\dx*1.7200},{\dy*0.9126})
+ -- ({\dx*1.7400},{\dy*0.9168})
+ -- ({\dx*1.7600},{\dy*0.9214})
+ -- ({\dx*1.7800},{\dy*0.9262})
+ -- ({\dx*1.8000},{\dy*0.9314})
+ -- ({\dx*1.8200},{\dy*0.9368})
+ -- ({\dx*1.8400},{\dy*0.9426})
+ -- ({\dx*1.8600},{\dy*0.9487})
+ -- ({\dx*1.8800},{\dy*0.9551})
+ -- ({\dx*1.9000},{\dy*0.9618})
+ -- ({\dx*1.9200},{\dy*0.9688})
+ -- ({\dx*1.9400},{\dy*0.9761})
+ -- ({\dx*1.9600},{\dy*0.9837})
+ -- ({\dx*1.9800},{\dy*0.9917})
+ -- ({\dx*2.0000},{\dy*1.0000})
+ -- ({\dx*2.0200},{\dy*1.0086})
+ -- ({\dx*2.0400},{\dy*1.0176})
+ -- ({\dx*2.0600},{\dy*1.0269})
+ -- ({\dx*2.0800},{\dy*1.0365})
+ -- ({\dx*2.1000},{\dy*1.0465})
+ -- ({\dx*2.1200},{\dy*1.0568})
+ -- ({\dx*2.1400},{\dy*1.0675})
+ -- ({\dx*2.1600},{\dy*1.0786})
+ -- ({\dx*2.1800},{\dy*1.0900})
+ -- ({\dx*2.2000},{\dy*1.1018})
+ -- ({\dx*2.2200},{\dy*1.1140})
+ -- ({\dx*2.2400},{\dy*1.1266})
+ -- ({\dx*2.2600},{\dy*1.1395})
+ -- ({\dx*2.2800},{\dy*1.1529})
+ -- ({\dx*2.3000},{\dy*1.1667})
+ -- ({\dx*2.3200},{\dy*1.1809})
+ -- ({\dx*2.3400},{\dy*1.1956})
+ -- ({\dx*2.3600},{\dy*1.2107})
+ -- ({\dx*2.3800},{\dy*1.2262})
+ -- ({\dx*2.4000},{\dy*1.2422})
+ -- ({\dx*2.4200},{\dy*1.2586})
+ -- ({\dx*2.4400},{\dy*1.2756})
+ -- ({\dx*2.4600},{\dy*1.2930})
+ -- ({\dx*2.4800},{\dy*1.3109})
+ -- ({\dx*2.5000},{\dy*1.3293})
+ -- ({\dx*2.5200},{\dy*1.3483})
+ -- ({\dx*2.5400},{\dy*1.3678})
+ -- ({\dx*2.5600},{\dy*1.3878})
+ -- ({\dx*2.5800},{\dy*1.4084})
+ -- ({\dx*2.6000},{\dy*1.4296})
+ -- ({\dx*2.6200},{\dy*1.4514})
+ -- ({\dx*2.6400},{\dy*1.4738})
+ -- ({\dx*2.6600},{\dy*1.4968})
+ -- ({\dx*2.6800},{\dy*1.5204})
+ -- ({\dx*2.7000},{\dy*1.5447})
+ -- ({\dx*2.7200},{\dy*1.5696})
+ -- ({\dx*2.7400},{\dy*1.5953})
+ -- ({\dx*2.7600},{\dy*1.6216})
+ -- ({\dx*2.7800},{\dy*1.6487})
+ -- ({\dx*2.8000},{\dy*1.6765})
+ -- ({\dx*2.8200},{\dy*1.7051})
+ -- ({\dx*2.8400},{\dy*1.7344})
+ -- ({\dx*2.8600},{\dy*1.7646})
+ -- ({\dx*2.8800},{\dy*1.7955})
+ -- ({\dx*2.9000},{\dy*1.8274})
+ -- ({\dx*2.9200},{\dy*1.8600})
+ -- ({\dx*2.9400},{\dy*1.8936})
+ -- ({\dx*2.9600},{\dy*1.9281})
+ -- ({\dx*2.9800},{\dy*1.9636})
+ -- ({\dx*3.0000},{\dy*2.0000})
+ -- ({\dx*3.0200},{\dy*2.0374})
+ -- ({\dx*3.0400},{\dy*2.0759})
+ -- ({\dx*3.0600},{\dy*2.1153})
+ -- ({\dx*3.0800},{\dy*2.1559})
+ -- ({\dx*3.1000},{\dy*2.1976})
+ -- ({\dx*3.1200},{\dy*2.2405})
+ -- ({\dx*3.1400},{\dy*2.2845})
+ -- ({\dx*3.1600},{\dy*2.3297})
+ -- ({\dx*3.1800},{\dy*2.3762})
+ -- ({\dx*3.2000},{\dy*2.4240})
+ -- ({\dx*3.2200},{\dy*2.4731})
+ -- ({\dx*3.2400},{\dy*2.5235})
+ -- ({\dx*3.2600},{\dy*2.5754})
+ -- ({\dx*3.2800},{\dy*2.6287})
+ -- ({\dx*3.3000},{\dy*2.6834})
+ -- ({\dx*3.3200},{\dy*2.7397})
+ -- ({\dx*3.3400},{\dy*2.7976})
+ -- ({\dx*3.3600},{\dy*2.8571})
+ -- ({\dx*3.3800},{\dy*2.9183})
+ -- ({\dx*3.4000},{\dy*2.9812})
+ -- ({\dx*3.4200},{\dy*3.0459})
+ -- ({\dx*3.4400},{\dy*3.1124})
+ -- ({\dx*3.4600},{\dy*3.1807})
+ -- ({\dx*3.4800},{\dy*3.2510})
+ -- ({\dx*3.5000},{\dy*3.3234})
+ -- ({\dx*3.5200},{\dy*3.3977})
+ -- ({\dx*3.5400},{\dy*3.4742})
+ -- ({\dx*3.5600},{\dy*3.5529})
+ -- ({\dx*3.5800},{\dy*3.6338})
+ -- ({\dx*3.6000},{\dy*3.7170})
+ -- ({\dx*3.6200},{\dy*3.8027})
+ -- ({\dx*3.6400},{\dy*3.8908})
+ -- ({\dx*3.6600},{\dy*3.9814})
+ -- ({\dx*3.6800},{\dy*4.0747})
+ -- ({\dx*3.7000},{\dy*4.1707})
+ -- ({\dx*3.7200},{\dy*4.2694})
+ -- ({\dx*3.7400},{\dy*4.3711})
+ -- ({\dx*3.7600},{\dy*4.4757})
+ -- ({\dx*3.7800},{\dy*4.5833})
+ -- ({\dx*3.8000},{\dy*4.6942})
+ -- ({\dx*3.8200},{\dy*4.8083})
+ -- ({\dx*3.8400},{\dy*4.9257})
+ -- ({\dx*3.8600},{\dy*5.0466})
+ -- ({\dx*3.8800},{\dy*5.1711})
+ -- ({\dx*3.9000},{\dy*5.2993})
+ -- ({\dx*3.9200},{\dy*5.4313})
+ -- ({\dx*3.9400},{\dy*5.5673})
+ -- ({\dx*3.9600},{\dy*5.7073})
+ -- ({\dx*3.9800},{\dy*5.8515})
+ -- ({\dx*4.0000},{\dy*6.0000})
+ -- ({\dx*4.0200},{\dy*6.1530})
+ -- ({\dx*4.0400},{\dy*6.3106})
+ -- ({\dx*4.0600},{\dy*6.4730})
+ -- ({\dx*4.0800},{\dy*6.6403})
+ -- ({\dx*4.0810},{\dy*6.6488})}
+\def\gammaone{({\dx*-0.9810},{\dy*-53.0814})
+ -- ({\dx*-0.9800},{\dy*-50.4512})
+ -- ({\dx*-0.9600},{\dy*-25.4802})
+ -- ({\dx*-0.9400},{\dy*-17.1763})
+ -- ({\dx*-0.9200},{\dy*-13.0397})
+ -- ({\dx*-0.9000},{\dy*-10.5706})
+ -- ({\dx*-0.8800},{\dy*-8.9355})
+ -- ({\dx*-0.8600},{\dy*-7.7775})
+ -- ({\dx*-0.8400},{\dy*-6.9182})
+ -- ({\dx*-0.8200},{\dy*-6.2583})
+ -- ({\dx*-0.8000},{\dy*-5.7386})
+ -- ({\dx*-0.7800},{\dy*-5.3211})
+ -- ({\dx*-0.7600},{\dy*-4.9809})
+ -- ({\dx*-0.7400},{\dy*-4.7006})
+ -- ({\dx*-0.7200},{\dy*-4.4678})
+ -- ({\dx*-0.7000},{\dy*-4.2737})
+ -- ({\dx*-0.6800},{\dy*-4.1114})
+ -- ({\dx*-0.6600},{\dy*-3.9760})
+ -- ({\dx*-0.6400},{\dy*-3.8636})
+ -- ({\dx*-0.6200},{\dy*-3.7714})
+ -- ({\dx*-0.6000},{\dy*-3.6969})
+ -- ({\dx*-0.5800},{\dy*-3.6386})
+ -- ({\dx*-0.5600},{\dy*-3.5950})
+ -- ({\dx*-0.5400},{\dy*-3.5652})
+ -- ({\dx*-0.5200},{\dy*-3.5487})
+ -- ({\dx*-0.5000},{\dy*-3.5449})
+ -- ({\dx*-0.4800},{\dy*-3.5538})
+ -- ({\dx*-0.4600},{\dy*-3.5756})
+ -- ({\dx*-0.4400},{\dy*-3.6105})
+ -- ({\dx*-0.4200},{\dy*-3.6594})
+ -- ({\dx*-0.4000},{\dy*-3.7230})
+ -- ({\dx*-0.3800},{\dy*-3.8027})
+ -- ({\dx*-0.3600},{\dy*-3.9004})
+ -- ({\dx*-0.3400},{\dy*-4.0181})
+ -- ({\dx*-0.3200},{\dy*-4.1590})
+ -- ({\dx*-0.3000},{\dy*-4.3269})
+ -- ({\dx*-0.2800},{\dy*-4.5267})
+ -- ({\dx*-0.2600},{\dy*-4.7652})
+ -- ({\dx*-0.2400},{\dy*-5.0514})
+ -- ({\dx*-0.2200},{\dy*-5.3976})
+ -- ({\dx*-0.2000},{\dy*-5.8211})
+ -- ({\dx*-0.1800},{\dy*-6.3472})
+ -- ({\dx*-0.1600},{\dy*-7.0135})
+ -- ({\dx*-0.1400},{\dy*-7.8795})
+ -- ({\dx*-0.1200},{\dy*-9.0442})
+ -- ({\dx*-0.1000},{\dy*-10.6863})
+ -- ({\dx*-0.0800},{\dy*-13.1627})
+ -- ({\dx*-0.0600},{\dy*-17.3067})
+ -- ({\dx*-0.0400},{\dy*-25.6183})
+ -- ({\dx*-0.0200},{\dy*-50.5974})
+ -- ({\dx*-0.0190},{\dy*-53.2279})}
+\def\gammatwo{({\dx*-1.9810},{\dy*26.7952})
+ -- ({\dx*-1.9800},{\dy*25.4804})
+ -- ({\dx*-1.9600},{\dy*13.0001})
+ -- ({\dx*-1.9400},{\dy*8.8538})
+ -- ({\dx*-1.9200},{\dy*6.7915})
+ -- ({\dx*-1.9000},{\dy*5.5635})
+ -- ({\dx*-1.8800},{\dy*4.7529})
+ -- ({\dx*-1.8600},{\dy*4.1815})
+ -- ({\dx*-1.8400},{\dy*3.7599})
+ -- ({\dx*-1.8200},{\dy*3.4386})
+ -- ({\dx*-1.8000},{\dy*3.1881})
+ -- ({\dx*-1.7800},{\dy*2.9894})
+ -- ({\dx*-1.7600},{\dy*2.8301})
+ -- ({\dx*-1.7400},{\dy*2.7015})
+ -- ({\dx*-1.7200},{\dy*2.5976})
+ -- ({\dx*-1.7000},{\dy*2.5139})
+ -- ({\dx*-1.6800},{\dy*2.4473})
+ -- ({\dx*-1.6600},{\dy*2.3952})
+ -- ({\dx*-1.6400},{\dy*2.3559})
+ -- ({\dx*-1.6200},{\dy*2.3280})
+ -- ({\dx*-1.6000},{\dy*2.3106})
+ -- ({\dx*-1.5800},{\dy*2.3029})
+ -- ({\dx*-1.5600},{\dy*2.3045})
+ -- ({\dx*-1.5400},{\dy*2.3151})
+ -- ({\dx*-1.5200},{\dy*2.3346})
+ -- ({\dx*-1.5000},{\dy*2.3633})
+ -- ({\dx*-1.4800},{\dy*2.4012})
+ -- ({\dx*-1.4600},{\dy*2.4490})
+ -- ({\dx*-1.4400},{\dy*2.5073})
+ -- ({\dx*-1.4200},{\dy*2.5770})
+ -- ({\dx*-1.4000},{\dy*2.6593})
+ -- ({\dx*-1.3800},{\dy*2.7556})
+ -- ({\dx*-1.3600},{\dy*2.8679})
+ -- ({\dx*-1.3400},{\dy*2.9986})
+ -- ({\dx*-1.3200},{\dy*3.1508})
+ -- ({\dx*-1.3000},{\dy*3.3283})
+ -- ({\dx*-1.2800},{\dy*3.5365})
+ -- ({\dx*-1.2600},{\dy*3.7819})
+ -- ({\dx*-1.2400},{\dy*4.0737})
+ -- ({\dx*-1.2200},{\dy*4.4243})
+ -- ({\dx*-1.2000},{\dy*4.8510})
+ -- ({\dx*-1.1800},{\dy*5.3790})
+ -- ({\dx*-1.1600},{\dy*6.0461})
+ -- ({\dx*-1.1400},{\dy*6.9118})
+ -- ({\dx*-1.1200},{\dy*8.0752})
+ -- ({\dx*-1.1000},{\dy*9.7148})
+ -- ({\dx*-1.0800},{\dy*12.1877})
+ -- ({\dx*-1.0600},{\dy*16.3271})
+ -- ({\dx*-1.0400},{\dy*24.6330})
+ -- ({\dx*-1.0200},{\dy*49.6053})
+ -- ({\dx*-1.0190},{\dy*52.2354})}
+\def\gammathree{({\dx*-2.9810},{\dy*-8.9887})
+ -- ({\dx*-2.9800},{\dy*-8.5505})
+ -- ({\dx*-2.9600},{\dy*-4.3919})
+ -- ({\dx*-2.9400},{\dy*-3.0115})
+ -- ({\dx*-2.9200},{\dy*-2.3259})
+ -- ({\dx*-2.9000},{\dy*-1.9184})
+ -- ({\dx*-2.8800},{\dy*-1.6503})
+ -- ({\dx*-2.8600},{\dy*-1.4621})
+ -- ({\dx*-2.8400},{\dy*-1.3239})
+ -- ({\dx*-2.8200},{\dy*-1.2194})
+ -- ({\dx*-2.8000},{\dy*-1.1386})
+ -- ({\dx*-2.7800},{\dy*-1.0753})
+ -- ({\dx*-2.7600},{\dy*-1.0254})
+ -- ({\dx*-2.7400},{\dy*-0.9859})
+ -- ({\dx*-2.7200},{\dy*-0.9550})
+ -- ({\dx*-2.7000},{\dy*-0.9311})
+ -- ({\dx*-2.6800},{\dy*-0.9132})
+ -- ({\dx*-2.6600},{\dy*-0.9004})
+ -- ({\dx*-2.6400},{\dy*-0.8924})
+ -- ({\dx*-2.6200},{\dy*-0.8886})
+ -- ({\dx*-2.6000},{\dy*-0.8887})
+ -- ({\dx*-2.5800},{\dy*-0.8926})
+ -- ({\dx*-2.5600},{\dy*-0.9002})
+ -- ({\dx*-2.5400},{\dy*-0.9115})
+ -- ({\dx*-2.5200},{\dy*-0.9264})
+ -- ({\dx*-2.5000},{\dy*-0.9453})
+ -- ({\dx*-2.4800},{\dy*-0.9682})
+ -- ({\dx*-2.4600},{\dy*-0.9955})
+ -- ({\dx*-2.4400},{\dy*-1.0276})
+ -- ({\dx*-2.4200},{\dy*-1.0649})
+ -- ({\dx*-2.4000},{\dy*-1.1080})
+ -- ({\dx*-2.3800},{\dy*-1.1578})
+ -- ({\dx*-2.3600},{\dy*-1.2152})
+ -- ({\dx*-2.3400},{\dy*-1.2815})
+ -- ({\dx*-2.3200},{\dy*-1.3581})
+ -- ({\dx*-2.3000},{\dy*-1.4471})
+ -- ({\dx*-2.2800},{\dy*-1.5511})
+ -- ({\dx*-2.2600},{\dy*-1.6734})
+ -- ({\dx*-2.2400},{\dy*-1.8186})
+ -- ({\dx*-2.2200},{\dy*-1.9929})
+ -- ({\dx*-2.2000},{\dy*-2.2050})
+ -- ({\dx*-2.1800},{\dy*-2.4674})
+ -- ({\dx*-2.1600},{\dy*-2.7991})
+ -- ({\dx*-2.1400},{\dy*-3.2298})
+ -- ({\dx*-2.1200},{\dy*-3.8091})
+ -- ({\dx*-2.1000},{\dy*-4.6261})
+ -- ({\dx*-2.0800},{\dy*-5.8595})
+ -- ({\dx*-2.0600},{\dy*-7.9258})
+ -- ({\dx*-2.0400},{\dy*-12.0750})
+ -- ({\dx*-2.0200},{\dy*-24.5571})
+ -- ({\dx*-2.0190},{\dy*-25.8719})}
+\def\gammafour{({\dx*-3.9950},{\dy*8.3966})
+ -- ({\dx*-3.9800},{\dy*2.1484})
+ -- ({\dx*-3.9600},{\dy*1.1091})
+ -- ({\dx*-3.9400},{\dy*0.7643})
+ -- ({\dx*-3.9200},{\dy*0.5933})
+ -- ({\dx*-3.9000},{\dy*0.4919})
+ -- ({\dx*-3.8800},{\dy*0.4253})
+ -- ({\dx*-3.8600},{\dy*0.3788})
+ -- ({\dx*-3.8400},{\dy*0.3448})
+ -- ({\dx*-3.8200},{\dy*0.3192})
+ -- ({\dx*-3.8000},{\dy*0.2996})
+ -- ({\dx*-3.7800},{\dy*0.2845})
+ -- ({\dx*-3.7600},{\dy*0.2727})
+ -- ({\dx*-3.7400},{\dy*0.2636})
+ -- ({\dx*-3.7200},{\dy*0.2567})
+ -- ({\dx*-3.7000},{\dy*0.2516})
+ -- ({\dx*-3.6800},{\dy*0.2481})
+ -- ({\dx*-3.6600},{\dy*0.2460})
+ -- ({\dx*-3.6400},{\dy*0.2452})
+ -- ({\dx*-3.6200},{\dy*0.2455})
+ -- ({\dx*-3.6000},{\dy*0.2469})
+ -- ({\dx*-3.5800},{\dy*0.2493})
+ -- ({\dx*-3.5600},{\dy*0.2529})
+ -- ({\dx*-3.5400},{\dy*0.2575})
+ -- ({\dx*-3.5200},{\dy*0.2632})
+ -- ({\dx*-3.5000},{\dy*0.2701})
+ -- ({\dx*-3.4800},{\dy*0.2782})
+ -- ({\dx*-3.4600},{\dy*0.2877})
+ -- ({\dx*-3.4400},{\dy*0.2987})
+ -- ({\dx*-3.4200},{\dy*0.3114})
+ -- ({\dx*-3.4000},{\dy*0.3259})
+ -- ({\dx*-3.3800},{\dy*0.3425})
+ -- ({\dx*-3.3600},{\dy*0.3617})
+ -- ({\dx*-3.3400},{\dy*0.3837})
+ -- ({\dx*-3.3200},{\dy*0.4091})
+ -- ({\dx*-3.3000},{\dy*0.4385})
+ -- ({\dx*-3.2800},{\dy*0.4729})
+ -- ({\dx*-3.2600},{\dy*0.5133})
+ -- ({\dx*-3.2400},{\dy*0.5613})
+ -- ({\dx*-3.2200},{\dy*0.6189})
+ -- ({\dx*-3.2000},{\dy*0.6891})
+ -- ({\dx*-3.1800},{\dy*0.7759})
+ -- ({\dx*-3.1600},{\dy*0.8858})
+ -- ({\dx*-3.1400},{\dy*1.0286})
+ -- ({\dx*-3.1200},{\dy*1.2209})
+ -- ({\dx*-3.1000},{\dy*1.4923})
+ -- ({\dx*-3.0800},{\dy*1.9024})
+ -- ({\dx*-3.0600},{\dy*2.5901})
+ -- ({\dx*-3.0400},{\dy*3.9720})
+ -- ({\dx*-3.0200},{\dy*8.1315})
+ -- ({\dx*-3.0050},{\dy*33.1259})}
+\def\gammafive{({\dx*-4.9990},{\dy*-8.3476})
+ -- ({\dx*-4.9800},{\dy*-0.4314})
+ -- ({\dx*-4.9600},{\dy*-0.2236})
+ -- ({\dx*-4.9400},{\dy*-0.1547})
+ -- ({\dx*-4.9200},{\dy*-0.1206})
+ -- ({\dx*-4.9000},{\dy*-0.1004})
+ -- ({\dx*-4.8800},{\dy*-0.0872})
+ -- ({\dx*-4.8600},{\dy*-0.0779})
+ -- ({\dx*-4.8400},{\dy*-0.0712})
+ -- ({\dx*-4.8200},{\dy*-0.0662})
+ -- ({\dx*-4.8000},{\dy*-0.0624})
+ -- ({\dx*-4.7800},{\dy*-0.0595})
+ -- ({\dx*-4.7600},{\dy*-0.0573})
+ -- ({\dx*-4.7400},{\dy*-0.0556})
+ -- ({\dx*-4.7200},{\dy*-0.0544})
+ -- ({\dx*-4.7000},{\dy*-0.0535})
+ -- ({\dx*-4.6800},{\dy*-0.0530})
+ -- ({\dx*-4.6600},{\dy*-0.0528})
+ -- ({\dx*-4.6400},{\dy*-0.0528})
+ -- ({\dx*-4.6200},{\dy*-0.0531})
+ -- ({\dx*-4.6000},{\dy*-0.0537})
+ -- ({\dx*-4.5800},{\dy*-0.0544})
+ -- ({\dx*-4.5600},{\dy*-0.0555})
+ -- ({\dx*-4.5400},{\dy*-0.0567})
+ -- ({\dx*-4.5200},{\dy*-0.0582})
+ -- ({\dx*-4.5000},{\dy*-0.0600})
+ -- ({\dx*-4.4800},{\dy*-0.0621})
+ -- ({\dx*-4.4600},{\dy*-0.0645})
+ -- ({\dx*-4.4400},{\dy*-0.0673})
+ -- ({\dx*-4.4200},{\dy*-0.0704})
+ -- ({\dx*-4.4000},{\dy*-0.0741})
+ -- ({\dx*-4.3800},{\dy*-0.0782})
+ -- ({\dx*-4.3600},{\dy*-0.0830})
+ -- ({\dx*-4.3400},{\dy*-0.0884})
+ -- ({\dx*-4.3200},{\dy*-0.0947})
+ -- ({\dx*-4.3000},{\dy*-0.1020})
+ -- ({\dx*-4.2800},{\dy*-0.1105})
+ -- ({\dx*-4.2600},{\dy*-0.1205})
+ -- ({\dx*-4.2400},{\dy*-0.1324})
+ -- ({\dx*-4.2200},{\dy*-0.1467})
+ -- ({\dx*-4.2000},{\dy*-0.1641})
+ -- ({\dx*-4.1800},{\dy*-0.1856})
+ -- ({\dx*-4.1600},{\dy*-0.2129})
+ -- ({\dx*-4.1400},{\dy*-0.2485})
+ -- ({\dx*-4.1200},{\dy*-0.2963})
+ -- ({\dx*-4.1000},{\dy*-0.3640})
+ -- ({\dx*-4.0800},{\dy*-0.4663})
+ -- ({\dx*-4.0600},{\dy*-0.6380})
+ -- ({\dx*-4.0400},{\dy*-0.9832})
+ -- ({\dx*-4.0200},{\dy*-2.0228})
+ -- ({\dx*-4.0010},{\dy*-41.6040})}
+\def\gammasix{({\dx*-5.9998},{\dy*6.9470})
+ -- ({\dx*-5.9800},{\dy*0.0721})
+ -- ({\dx*-5.9600},{\dy*0.0375})
+ -- ({\dx*-5.9400},{\dy*0.0260})
+ -- ({\dx*-5.9200},{\dy*0.0204})
+ -- ({\dx*-5.9000},{\dy*0.0170})
+ -- ({\dx*-5.8800},{\dy*0.0148})
+ -- ({\dx*-5.8600},{\dy*0.0133})
+ -- ({\dx*-5.8400},{\dy*0.0122})
+ -- ({\dx*-5.8200},{\dy*0.0114})
+ -- ({\dx*-5.8000},{\dy*0.0108})
+ -- ({\dx*-5.7800},{\dy*0.0103})
+ -- ({\dx*-5.7600},{\dy*0.0099})
+ -- ({\dx*-5.7400},{\dy*0.0097})
+ -- ({\dx*-5.7200},{\dy*0.0095})
+ -- ({\dx*-5.7000},{\dy*0.0094})
+ -- ({\dx*-5.6800},{\dy*0.0093})
+ -- ({\dx*-5.6600},{\dy*0.0093})
+ -- ({\dx*-5.6400},{\dy*0.0094})
+ -- ({\dx*-5.6200},{\dy*0.0095})
+ -- ({\dx*-5.6000},{\dy*0.0096})
+ -- ({\dx*-5.5800},{\dy*0.0098})
+ -- ({\dx*-5.5600},{\dy*0.0100})
+ -- ({\dx*-5.5400},{\dy*0.0102})
+ -- ({\dx*-5.5200},{\dy*0.0105})
+ -- ({\dx*-5.5000},{\dy*0.0109})
+ -- ({\dx*-5.4800},{\dy*0.0113})
+ -- ({\dx*-5.4600},{\dy*0.0118})
+ -- ({\dx*-5.4400},{\dy*0.0124})
+ -- ({\dx*-5.4200},{\dy*0.0130})
+ -- ({\dx*-5.4000},{\dy*0.0137})
+ -- ({\dx*-5.3800},{\dy*0.0145})
+ -- ({\dx*-5.3600},{\dy*0.0155})
+ -- ({\dx*-5.3400},{\dy*0.0166})
+ -- ({\dx*-5.3200},{\dy*0.0178})
+ -- ({\dx*-5.3000},{\dy*0.0192})
+ -- ({\dx*-5.2800},{\dy*0.0209})
+ -- ({\dx*-5.2600},{\dy*0.0229})
+ -- ({\dx*-5.2400},{\dy*0.0253})
+ -- ({\dx*-5.2200},{\dy*0.0281})
+ -- ({\dx*-5.2000},{\dy*0.0316})
+ -- ({\dx*-5.1800},{\dy*0.0358})
+ -- ({\dx*-5.1600},{\dy*0.0413})
+ -- ({\dx*-5.1400},{\dy*0.0483})
+ -- ({\dx*-5.1200},{\dy*0.0579})
+ -- ({\dx*-5.1000},{\dy*0.0714})
+ -- ({\dx*-5.0800},{\dy*0.0918})
+ -- ({\dx*-5.0600},{\dy*0.1261})
+ -- ({\dx*-5.0400},{\dy*0.1951})
+ -- ({\dx*-5.0200},{\dy*0.4029})
+ -- ({\dx*-5.0002},{\dy*41.6525})}
+\def\gammasinplus{({\dx*0.0190},{\dy*52.1325})
+ -- ({\dx*0.0200},{\dy*49.5050})
+ -- ({\dx*0.0400},{\dy*24.5863})
+ -- ({\dx*0.0600},{\dy*16.3331})
+ -- ({\dx*0.0800},{\dy*12.2453})
+ -- ({\dx*0.1000},{\dy*9.8225})
+ -- ({\dx*0.1200},{\dy*8.2314})
+ -- ({\dx*0.1400},{\dy*7.1145})
+ -- ({\dx*0.1600},{\dy*6.2930})
+ -- ({\dx*0.1800},{\dy*5.6676})
+ -- ({\dx*0.2000},{\dy*5.1786})
+ -- ({\dx*0.2200},{\dy*4.7879})
+ -- ({\dx*0.2400},{\dy*4.4701})
+ -- ({\dx*0.2600},{\dy*4.2074})
+ -- ({\dx*0.2800},{\dy*3.9874})
+ -- ({\dx*0.3000},{\dy*3.8006})
+ -- ({\dx*0.3200},{\dy*3.6401})
+ -- ({\dx*0.3400},{\dy*3.5005})
+ -- ({\dx*0.3600},{\dy*3.3776})
+ -- ({\dx*0.3800},{\dy*3.2680})
+ -- ({\dx*0.4000},{\dy*3.1692})
+ -- ({\dx*0.4200},{\dy*3.0790})
+ -- ({\dx*0.4400},{\dy*2.9955})
+ -- ({\dx*0.4600},{\dy*2.9173})
+ -- ({\dx*0.4800},{\dy*2.8433})
+ -- ({\dx*0.5000},{\dy*2.7725})
+ -- ({\dx*0.5200},{\dy*2.7039})
+ -- ({\dx*0.5400},{\dy*2.6369})
+ -- ({\dx*0.5600},{\dy*2.5709})
+ -- ({\dx*0.5800},{\dy*2.5055})
+ -- ({\dx*0.6000},{\dy*2.4402})
+ -- ({\dx*0.6200},{\dy*2.3748})
+ -- ({\dx*0.6400},{\dy*2.3090})
+ -- ({\dx*0.6600},{\dy*2.2425})
+ -- ({\dx*0.6800},{\dy*2.1752})
+ -- ({\dx*0.7000},{\dy*2.1071})
+ -- ({\dx*0.7200},{\dy*2.0380})
+ -- ({\dx*0.7400},{\dy*1.9679})
+ -- ({\dx*0.7600},{\dy*1.8969})
+ -- ({\dx*0.7800},{\dy*1.8249})
+ -- ({\dx*0.8000},{\dy*1.7520})
+ -- ({\dx*0.8200},{\dy*1.6783})
+ -- ({\dx*0.8400},{\dy*1.6039})
+ -- ({\dx*0.8600},{\dy*1.5289})
+ -- ({\dx*0.8800},{\dy*1.4534})
+ -- ({\dx*0.9000},{\dy*1.3776})
+ -- ({\dx*0.9200},{\dy*1.3017})
+ -- ({\dx*0.9400},{\dy*1.2258})
+ -- ({\dx*0.9600},{\dy*1.1501})
+ -- ({\dx*0.9800},{\dy*1.0747})
+ -- ({\dx*1.0000},{\dy*1.0000})
+ -- ({\dx*1.0200},{\dy*0.9261})
+ -- ({\dx*1.0400},{\dy*0.8531})
+ -- ({\dx*1.0600},{\dy*0.7814})
+ -- ({\dx*1.0800},{\dy*0.7110})
+ -- ({\dx*1.1000},{\dy*0.6423})
+ -- ({\dx*1.1200},{\dy*0.5755})
+ -- ({\dx*1.1400},{\dy*0.5106})
+ -- ({\dx*1.1600},{\dy*0.4480})
+ -- ({\dx*1.1800},{\dy*0.3879})
+ -- ({\dx*1.2000},{\dy*0.3304})
+ -- ({\dx*1.2200},{\dy*0.2757})
+ -- ({\dx*1.2400},{\dy*0.2240})
+ -- ({\dx*1.2600},{\dy*0.1754})
+ -- ({\dx*1.2800},{\dy*0.1302})
+ -- ({\dx*1.3000},{\dy*0.0885})
+ -- ({\dx*1.3200},{\dy*0.0503})
+ -- ({\dx*1.3400},{\dy*0.0159})
+ -- ({\dx*1.3600},{\dy*-0.0146})
+ -- ({\dx*1.3800},{\dy*-0.0412})
+ -- ({\dx*1.4000},{\dy*-0.0638})
+ -- ({\dx*1.4200},{\dy*-0.0822})
+ -- ({\dx*1.4400},{\dy*-0.0965})
+ -- ({\dx*1.4600},{\dy*-0.1065})
+ -- ({\dx*1.4800},{\dy*-0.1123})
+ -- ({\dx*1.5000},{\dy*-0.1138})
+ -- ({\dx*1.5200},{\dy*-0.1110})
+ -- ({\dx*1.5400},{\dy*-0.1039})
+ -- ({\dx*1.5600},{\dy*-0.0926})
+ -- ({\dx*1.5800},{\dy*-0.0772})
+ -- ({\dx*1.6000},{\dy*-0.0575})
+ -- ({\dx*1.6200},{\dy*-0.0339})
+ -- ({\dx*1.6400},{\dy*-0.0062})
+ -- ({\dx*1.6600},{\dy*0.0254})
+ -- ({\dx*1.6800},{\dy*0.0607})
+ -- ({\dx*1.7000},{\dy*0.0996})
+ -- ({\dx*1.7200},{\dy*0.1421})
+ -- ({\dx*1.7400},{\dy*0.1879})
+ -- ({\dx*1.7600},{\dy*0.2368})
+ -- ({\dx*1.7800},{\dy*0.2888})
+ -- ({\dx*1.8000},{\dy*0.3436})
+ -- ({\dx*1.8200},{\dy*0.4010})
+ -- ({\dx*1.8400},{\dy*0.4609})
+ -- ({\dx*1.8600},{\dy*0.5229})
+ -- ({\dx*1.8800},{\dy*0.5869})
+ -- ({\dx*1.9000},{\dy*0.6527})
+ -- ({\dx*1.9200},{\dy*0.7201})
+ -- ({\dx*1.9400},{\dy*0.7887})
+ -- ({\dx*1.9600},{\dy*0.8584})
+ -- ({\dx*1.9800},{\dy*0.9289})
+ -- ({\dx*2.0000},{\dy*1.0000})
+ -- ({\dx*2.0200},{\dy*1.0714})
+ -- ({\dx*2.0400},{\dy*1.1429})
+ -- ({\dx*2.0600},{\dy*1.2142})
+ -- ({\dx*2.0800},{\dy*1.2852})
+ -- ({\dx*2.1000},{\dy*1.3555})
+ -- ({\dx*2.1200},{\dy*1.4249})
+ -- ({\dx*2.1400},{\dy*1.4933})
+ -- ({\dx*2.1600},{\dy*1.5603})
+ -- ({\dx*2.1800},{\dy*1.6258})
+ -- ({\dx*2.2000},{\dy*1.6896})
+ -- ({\dx*2.2200},{\dy*1.7514})
+ -- ({\dx*2.2400},{\dy*1.8111})
+ -- ({\dx*2.2600},{\dy*1.8685})
+ -- ({\dx*2.2800},{\dy*1.9234})
+ -- ({\dx*2.3000},{\dy*1.9757})
+ -- ({\dx*2.3200},{\dy*2.0253})
+ -- ({\dx*2.3400},{\dy*2.0719})
+ -- ({\dx*2.3600},{\dy*2.1155})
+ -- ({\dx*2.3800},{\dy*2.1560})
+ -- ({\dx*2.4000},{\dy*2.1932})
+ -- ({\dx*2.4200},{\dy*2.2272})
+ -- ({\dx*2.4400},{\dy*2.2578})
+ -- ({\dx*2.4600},{\dy*2.2851})
+ -- ({\dx*2.4800},{\dy*2.3089})
+ -- ({\dx*2.5000},{\dy*2.3293})
+ -- ({\dx*2.5200},{\dy*2.3463})
+ -- ({\dx*2.5400},{\dy*2.3599})
+ -- ({\dx*2.5600},{\dy*2.3701})
+ -- ({\dx*2.5800},{\dy*2.3770})
+ -- ({\dx*2.6000},{\dy*2.3807})
+ -- ({\dx*2.6200},{\dy*2.3812})
+ -- ({\dx*2.6400},{\dy*2.3786})
+ -- ({\dx*2.6600},{\dy*2.3731})
+ -- ({\dx*2.6800},{\dy*2.3647})
+ -- ({\dx*2.7000},{\dy*2.3537})
+ -- ({\dx*2.7200},{\dy*2.3402})
+ -- ({\dx*2.7400},{\dy*2.3242})
+ -- ({\dx*2.7600},{\dy*2.3062})
+ -- ({\dx*2.7800},{\dy*2.2861})
+ -- ({\dx*2.8000},{\dy*2.2643})
+ -- ({\dx*2.8200},{\dy*2.2409})
+ -- ({\dx*2.8400},{\dy*2.2162})
+ -- ({\dx*2.8600},{\dy*2.1903})
+ -- ({\dx*2.8800},{\dy*2.1637})
+ -- ({\dx*2.9000},{\dy*2.1364})
+ -- ({\dx*2.9200},{\dy*2.1087})
+ -- ({\dx*2.9400},{\dy*2.0810})
+ -- ({\dx*2.9600},{\dy*2.0535})
+ -- ({\dx*2.9800},{\dy*2.0264})
+ -- ({\dx*3.0000},{\dy*2.0000})
+ -- ({\dx*3.0200},{\dy*1.9746})
+ -- ({\dx*3.0400},{\dy*1.9505})
+ -- ({\dx*3.0600},{\dy*1.9280})
+ -- ({\dx*3.0800},{\dy*1.9072})
+ -- ({\dx*3.1000},{\dy*1.8886})
+ -- ({\dx*3.1200},{\dy*1.8723})
+ -- ({\dx*3.1400},{\dy*1.8587})
+ -- ({\dx*3.1600},{\dy*1.8480})
+ -- ({\dx*3.1800},{\dy*1.8404})
+ -- ({\dx*3.2000},{\dy*1.8362})
+ -- ({\dx*3.2200},{\dy*1.8356})
+ -- ({\dx*3.2400},{\dy*1.8390})
+ -- ({\dx*3.2600},{\dy*1.8464})
+ -- ({\dx*3.2800},{\dy*1.8581})
+ -- ({\dx*3.3000},{\dy*1.8744})
+ -- ({\dx*3.3200},{\dy*1.8954})
+ -- ({\dx*3.3400},{\dy*1.9213})
+ -- ({\dx*3.3600},{\dy*1.9523})
+ -- ({\dx*3.3800},{\dy*1.9885})
+ -- ({\dx*3.4000},{\dy*2.0301})
+ -- ({\dx*3.4200},{\dy*2.0773})
+ -- ({\dx*3.4400},{\dy*2.1301})
+ -- ({\dx*3.4600},{\dy*2.1886})
+ -- ({\dx*3.4800},{\dy*2.2530})
+ -- ({\dx*3.5000},{\dy*2.3234})
+ -- ({\dx*3.5200},{\dy*2.3997})
+ -- ({\dx*3.5400},{\dy*2.4821})
+ -- ({\dx*3.5600},{\dy*2.5706})
+ -- ({\dx*3.5800},{\dy*2.6652})
+ -- ({\dx*3.6000},{\dy*2.7660})
+ -- ({\dx*3.6200},{\dy*2.8729})
+ -- ({\dx*3.6400},{\dy*2.9859})
+ -- ({\dx*3.6600},{\dy*3.1051})
+ -- ({\dx*3.6800},{\dy*3.2303})
+ -- ({\dx*3.7000},{\dy*3.3616})
+ -- ({\dx*3.7200},{\dy*3.4989})
+ -- ({\dx*3.7400},{\dy*3.6421})
+ -- ({\dx*3.7600},{\dy*3.7911})
+ -- ({\dx*3.7800},{\dy*3.9459})
+ -- ({\dx*3.8000},{\dy*4.1064})
+ -- ({\dx*3.8200},{\dy*4.2724})
+ -- ({\dx*3.8400},{\dy*4.4440})
+ -- ({\dx*3.8600},{\dy*4.6209})
+ -- ({\dx*3.8800},{\dy*4.8030})
+ -- ({\dx*3.9000},{\dy*4.9903})
+ -- ({\dx*3.9200},{\dy*5.1826})
+ -- ({\dx*3.9400},{\dy*5.3799})
+ -- ({\dx*3.9600},{\dy*5.5819})
+ -- ({\dx*3.9800},{\dy*5.7887})
+ -- ({\dx*4.0000},{\dy*6.0000})
+ -- ({\dx*4.0200},{\dy*6.2158})
+ -- ({\dx*4.0400},{\dy*6.4359})
+ -- ({\dx*4.0600},{\dy*6.6603})
+ -- ({\dx*4.0800},{\dy*6.8889})
+ -- ({\dx*4.0810},{\dy*6.9005})}
+\def\gammasinone{({\dx*-0.9810},{\dy*-53.1410})
+ -- ({\dx*-0.9800},{\dy*-50.5140})
+ -- ({\dx*-0.9600},{\dy*-25.6055})
+ -- ({\dx*-0.9400},{\dy*-17.3637})
+ -- ({\dx*-0.9200},{\dy*-13.2884})
+ -- ({\dx*-0.9000},{\dy*-10.8796})
+ -- ({\dx*-0.8800},{\dy*-9.3036})
+ -- ({\dx*-0.8600},{\dy*-8.2033})
+ -- ({\dx*-0.8400},{\dy*-7.3999})
+ -- ({\dx*-0.8200},{\dy*-6.7941})
+ -- ({\dx*-0.8000},{\dy*-6.3263})
+ -- ({\dx*-0.7800},{\dy*-5.9586})
+ -- ({\dx*-0.7600},{\dy*-5.6655})
+ -- ({\dx*-0.7400},{\dy*-5.4296})
+ -- ({\dx*-0.7200},{\dy*-5.2384})
+ -- ({\dx*-0.7000},{\dy*-5.0827})
+ -- ({\dx*-0.6800},{\dy*-4.9557})
+ -- ({\dx*-0.6600},{\dy*-4.8523})
+ -- ({\dx*-0.6400},{\dy*-4.7685})
+ -- ({\dx*-0.6200},{\dy*-4.7012})
+ -- ({\dx*-0.6000},{\dy*-4.6480})
+ -- ({\dx*-0.5800},{\dy*-4.6072})
+ -- ({\dx*-0.5600},{\dy*-4.5773})
+ -- ({\dx*-0.5400},{\dy*-4.5573})
+ -- ({\dx*-0.5200},{\dy*-4.5467})
+ -- ({\dx*-0.5000},{\dy*-4.5449})
+ -- ({\dx*-0.4800},{\dy*-4.5519})
+ -- ({\dx*-0.4600},{\dy*-4.5677})
+ -- ({\dx*-0.4400},{\dy*-4.5928})
+ -- ({\dx*-0.4200},{\dy*-4.6279})
+ -- ({\dx*-0.4000},{\dy*-4.6740})
+ -- ({\dx*-0.3800},{\dy*-4.7325})
+ -- ({\dx*-0.3600},{\dy*-4.8052})
+ -- ({\dx*-0.3400},{\dy*-4.8944})
+ -- ({\dx*-0.3200},{\dy*-5.0033})
+ -- ({\dx*-0.3000},{\dy*-5.1359})
+ -- ({\dx*-0.2800},{\dy*-5.2972})
+ -- ({\dx*-0.2600},{\dy*-5.4942})
+ -- ({\dx*-0.2400},{\dy*-5.7359})
+ -- ({\dx*-0.2200},{\dy*-6.0350})
+ -- ({\dx*-0.2000},{\dy*-6.4089})
+ -- ({\dx*-0.1800},{\dy*-6.8830})
+ -- ({\dx*-0.1600},{\dy*-7.4952})
+ -- ({\dx*-0.1400},{\dy*-8.3052})
+ -- ({\dx*-0.1200},{\dy*-9.4124})
+ -- ({\dx*-0.1000},{\dy*-10.9953})
+ -- ({\dx*-0.0800},{\dy*-13.4114})
+ -- ({\dx*-0.0600},{\dy*-17.4941})
+ -- ({\dx*-0.0400},{\dy*-25.7436})
+ -- ({\dx*-0.0200},{\dy*-50.6602})
+ -- ({\dx*-0.0190},{\dy*-53.2876})}
+\def\gammasintwo{({\dx*-1.9810},{\dy*26.8549})
+ -- ({\dx*-1.9800},{\dy*25.5432})
+ -- ({\dx*-1.9600},{\dy*13.1254})
+ -- ({\dx*-1.9400},{\dy*9.0411})
+ -- ({\dx*-1.9200},{\dy*7.0402})
+ -- ({\dx*-1.9000},{\dy*5.8725})
+ -- ({\dx*-1.8800},{\dy*5.1211})
+ -- ({\dx*-1.8600},{\dy*4.6073})
+ -- ({\dx*-1.8400},{\dy*4.2416})
+ -- ({\dx*-1.8200},{\dy*3.9745})
+ -- ({\dx*-1.8000},{\dy*3.7759})
+ -- ({\dx*-1.7800},{\dy*3.6268})
+ -- ({\dx*-1.7600},{\dy*3.5146})
+ -- ({\dx*-1.7400},{\dy*3.4305})
+ -- ({\dx*-1.7200},{\dy*3.3681})
+ -- ({\dx*-1.7000},{\dy*3.3229})
+ -- ({\dx*-1.6800},{\dy*3.2916})
+ -- ({\dx*-1.6600},{\dy*3.2715})
+ -- ({\dx*-1.6400},{\dy*3.2607})
+ -- ({\dx*-1.6200},{\dy*3.2578})
+ -- ({\dx*-1.6000},{\dy*3.2616})
+ -- ({\dx*-1.5800},{\dy*3.2715})
+ -- ({\dx*-1.5600},{\dy*3.2868})
+ -- ({\dx*-1.5400},{\dy*3.3072})
+ -- ({\dx*-1.5200},{\dy*3.3327})
+ -- ({\dx*-1.5000},{\dy*3.3633})
+ -- ({\dx*-1.4800},{\dy*3.3993})
+ -- ({\dx*-1.4600},{\dy*3.4412})
+ -- ({\dx*-1.4400},{\dy*3.4896})
+ -- ({\dx*-1.4200},{\dy*3.5456})
+ -- ({\dx*-1.4000},{\dy*3.6103})
+ -- ({\dx*-1.3800},{\dy*3.6854})
+ -- ({\dx*-1.3600},{\dy*3.7727})
+ -- ({\dx*-1.3400},{\dy*3.8749})
+ -- ({\dx*-1.3200},{\dy*3.9951})
+ -- ({\dx*-1.3000},{\dy*4.1374})
+ -- ({\dx*-1.2800},{\dy*4.3070})
+ -- ({\dx*-1.2600},{\dy*4.5109})
+ -- ({\dx*-1.2400},{\dy*4.7583})
+ -- ({\dx*-1.2200},{\dy*5.0617})
+ -- ({\dx*-1.2000},{\dy*5.4387})
+ -- ({\dx*-1.1800},{\dy*5.9148})
+ -- ({\dx*-1.1600},{\dy*6.5279})
+ -- ({\dx*-1.1400},{\dy*7.3376})
+ -- ({\dx*-1.1200},{\dy*8.4433})
+ -- ({\dx*-1.1000},{\dy*10.0238})
+ -- ({\dx*-1.0800},{\dy*12.4364})
+ -- ({\dx*-1.0600},{\dy*16.5145})
+ -- ({\dx*-1.0400},{\dy*24.7583})
+ -- ({\dx*-1.0200},{\dy*49.6681})
+ -- ({\dx*-1.0190},{\dy*52.2951})}
+\def\gammasinthree{({\dx*-2.9810},{\dy*-9.0483})
+ -- ({\dx*-2.9800},{\dy*-8.6133})
+ -- ({\dx*-2.9600},{\dy*-4.5173})
+ -- ({\dx*-2.9400},{\dy*-3.1989})
+ -- ({\dx*-2.9200},{\dy*-2.5746})
+ -- ({\dx*-2.9000},{\dy*-2.2274})
+ -- ({\dx*-2.8800},{\dy*-2.0184})
+ -- ({\dx*-2.8600},{\dy*-1.8878})
+ -- ({\dx*-2.8400},{\dy*-1.8057})
+ -- ({\dx*-2.8200},{\dy*-1.7552})
+ -- ({\dx*-2.8000},{\dy*-1.7264})
+ -- ({\dx*-2.7800},{\dy*-1.7127})
+ -- ({\dx*-2.7600},{\dy*-1.7099})
+ -- ({\dx*-2.7400},{\dy*-1.7149})
+ -- ({\dx*-2.7200},{\dy*-1.7255})
+ -- ({\dx*-2.7000},{\dy*-1.7401})
+ -- ({\dx*-2.6800},{\dy*-1.7575})
+ -- ({\dx*-2.6600},{\dy*-1.7768})
+ -- ({\dx*-2.6400},{\dy*-1.7972})
+ -- ({\dx*-2.6200},{\dy*-1.8183})
+ -- ({\dx*-2.6000},{\dy*-1.8397})
+ -- ({\dx*-2.5800},{\dy*-1.8612})
+ -- ({\dx*-2.5600},{\dy*-1.8825})
+ -- ({\dx*-2.5400},{\dy*-1.9036})
+ -- ({\dx*-2.5200},{\dy*-1.9245})
+ -- ({\dx*-2.5000},{\dy*-1.9453})
+ -- ({\dx*-2.4800},{\dy*-1.9663})
+ -- ({\dx*-2.4600},{\dy*-1.9877})
+ -- ({\dx*-2.4400},{\dy*-2.0099})
+ -- ({\dx*-2.4200},{\dy*-2.0335})
+ -- ({\dx*-2.4000},{\dy*-2.0591})
+ -- ({\dx*-2.3800},{\dy*-2.0876})
+ -- ({\dx*-2.3600},{\dy*-2.1200})
+ -- ({\dx*-2.3400},{\dy*-2.1578})
+ -- ({\dx*-2.3200},{\dy*-2.2024})
+ -- ({\dx*-2.3000},{\dy*-2.2561})
+ -- ({\dx*-2.2800},{\dy*-2.3216})
+ -- ({\dx*-2.2600},{\dy*-2.4024})
+ -- ({\dx*-2.2400},{\dy*-2.5032})
+ -- ({\dx*-2.2200},{\dy*-2.6303})
+ -- ({\dx*-2.2000},{\dy*-2.7928})
+ -- ({\dx*-2.1800},{\dy*-3.0032})
+ -- ({\dx*-2.1600},{\dy*-3.2809})
+ -- ({\dx*-2.1400},{\dy*-3.6556})
+ -- ({\dx*-2.1200},{\dy*-4.1772})
+ -- ({\dx*-2.1000},{\dy*-4.9351})
+ -- ({\dx*-2.0800},{\dy*-6.1082})
+ -- ({\dx*-2.0600},{\dy*-8.1132})
+ -- ({\dx*-2.0400},{\dy*-12.2003})
+ -- ({\dx*-2.0200},{\dy*-24.6199})
+ -- ({\dx*-2.0190},{\dy*-25.9316})}
+\def\gammasinfour{({\dx*-3.9950},{\dy*8.4124})
+ -- ({\dx*-3.9800},{\dy*2.2112})
+ -- ({\dx*-3.9600},{\dy*1.2344})
+ -- ({\dx*-3.9400},{\dy*0.9517})
+ -- ({\dx*-3.9200},{\dy*0.8420})
+ -- ({\dx*-3.9000},{\dy*0.8009})
+ -- ({\dx*-3.8800},{\dy*0.7935})
+ -- ({\dx*-3.8600},{\dy*0.8045})
+ -- ({\dx*-3.8400},{\dy*0.8265})
+ -- ({\dx*-3.8200},{\dy*0.8550})
+ -- ({\dx*-3.8000},{\dy*0.8874})
+ -- ({\dx*-3.7800},{\dy*0.9219})
+ -- ({\dx*-3.7600},{\dy*0.9573})
+ -- ({\dx*-3.7400},{\dy*0.9926})
+ -- ({\dx*-3.7200},{\dy*1.0272})
+ -- ({\dx*-3.7000},{\dy*1.0607})
+ -- ({\dx*-3.6800},{\dy*1.0925})
+ -- ({\dx*-3.6600},{\dy*1.1223})
+ -- ({\dx*-3.6400},{\dy*1.1500})
+ -- ({\dx*-3.6200},{\dy*1.1752})
+ -- ({\dx*-3.6000},{\dy*1.1979})
+ -- ({\dx*-3.5800},{\dy*1.2179})
+ -- ({\dx*-3.5600},{\dy*1.2351})
+ -- ({\dx*-3.5400},{\dy*1.2496})
+ -- ({\dx*-3.5200},{\dy*1.2612})
+ -- ({\dx*-3.5000},{\dy*1.2701})
+ -- ({\dx*-3.4800},{\dy*1.2763})
+ -- ({\dx*-3.4600},{\dy*1.2798})
+ -- ({\dx*-3.4400},{\dy*1.2810})
+ -- ({\dx*-3.4200},{\dy*1.2800})
+ -- ({\dx*-3.4000},{\dy*1.2769})
+ -- ({\dx*-3.3800},{\dy*1.2723})
+ -- ({\dx*-3.3600},{\dy*1.2665})
+ -- ({\dx*-3.3400},{\dy*1.2600})
+ -- ({\dx*-3.3200},{\dy*1.2534})
+ -- ({\dx*-3.3000},{\dy*1.2475})
+ -- ({\dx*-3.2800},{\dy*1.2434})
+ -- ({\dx*-3.2600},{\dy*1.2423})
+ -- ({\dx*-3.2400},{\dy*1.2458})
+ -- ({\dx*-3.2200},{\dy*1.2563})
+ -- ({\dx*-3.2000},{\dy*1.2768})
+ -- ({\dx*-3.1800},{\dy*1.3117})
+ -- ({\dx*-3.1600},{\dy*1.3676})
+ -- ({\dx*-3.1400},{\dy*1.4544})
+ -- ({\dx*-3.1200},{\dy*1.5890})
+ -- ({\dx*-3.1000},{\dy*1.8013})
+ -- ({\dx*-3.0800},{\dy*2.1511})
+ -- ({\dx*-3.0600},{\dy*2.7775})
+ -- ({\dx*-3.0400},{\dy*4.0974})
+ -- ({\dx*-3.0200},{\dy*8.1943})
+ -- ({\dx*-3.0050},{\dy*33.1416})}
+\def\gammasinfive{({\dx*-4.9990},{\dy*-8.3507})
+ -- ({\dx*-4.9800},{\dy*-0.4942})
+ -- ({\dx*-4.9600},{\dy*-0.3489})
+ -- ({\dx*-4.9400},{\dy*-0.3421})
+ -- ({\dx*-4.9200},{\dy*-0.3693})
+ -- ({\dx*-4.9000},{\dy*-0.4094})
+ -- ({\dx*-4.8800},{\dy*-0.4553})
+ -- ({\dx*-4.8600},{\dy*-0.5037})
+ -- ({\dx*-4.8400},{\dy*-0.5530})
+ -- ({\dx*-4.8200},{\dy*-0.6021})
+ -- ({\dx*-4.8000},{\dy*-0.6502})
+ -- ({\dx*-4.7800},{\dy*-0.6969})
+ -- ({\dx*-4.7600},{\dy*-0.7418})
+ -- ({\dx*-4.7400},{\dy*-0.7846})
+ -- ({\dx*-4.7200},{\dy*-0.8249})
+ -- ({\dx*-4.7000},{\dy*-0.8626})
+ -- ({\dx*-4.6800},{\dy*-0.8973})
+ -- ({\dx*-4.6600},{\dy*-0.9291})
+ -- ({\dx*-4.6400},{\dy*-0.9577})
+ -- ({\dx*-4.6200},{\dy*-0.9829})
+ -- ({\dx*-4.6000},{\dy*-1.0047})
+ -- ({\dx*-4.5800},{\dy*-1.0230})
+ -- ({\dx*-4.5600},{\dy*-1.0377})
+ -- ({\dx*-4.5400},{\dy*-1.0488})
+ -- ({\dx*-4.5200},{\dy*-1.0563})
+ -- ({\dx*-4.5000},{\dy*-1.0600})
+ -- ({\dx*-4.4800},{\dy*-1.0601})
+ -- ({\dx*-4.4600},{\dy*-1.0566})
+ -- ({\dx*-4.4400},{\dy*-1.0496})
+ -- ({\dx*-4.4200},{\dy*-1.0390})
+ -- ({\dx*-4.4000},{\dy*-1.0251})
+ -- ({\dx*-4.3800},{\dy*-1.0080})
+ -- ({\dx*-4.3600},{\dy*-0.9878})
+ -- ({\dx*-4.3400},{\dy*-0.9647})
+ -- ({\dx*-4.3200},{\dy*-0.9390})
+ -- ({\dx*-4.3000},{\dy*-0.9110})
+ -- ({\dx*-4.2800},{\dy*-0.8810})
+ -- ({\dx*-4.2600},{\dy*-0.8495})
+ -- ({\dx*-4.2400},{\dy*-0.8169})
+ -- ({\dx*-4.2200},{\dy*-0.7841})
+ -- ({\dx*-4.2000},{\dy*-0.7518})
+ -- ({\dx*-4.1800},{\dy*-0.7215})
+ -- ({\dx*-4.1600},{\dy*-0.6947})
+ -- ({\dx*-4.1400},{\dy*-0.6742})
+ -- ({\dx*-4.1200},{\dy*-0.6644})
+ -- ({\dx*-4.1000},{\dy*-0.6730})
+ -- ({\dx*-4.0800},{\dy*-0.7150})
+ -- ({\dx*-4.0600},{\dy*-0.8253})
+ -- ({\dx*-4.0400},{\dy*-1.1085})
+ -- ({\dx*-4.0200},{\dy*-2.0855})
+ -- ({\dx*-4.0010},{\dy*-41.6072})}
+\def\gammasinsix{({\dx*-5.9998},{\dy*6.9477})
+ -- ({\dx*-5.9800},{\dy*0.1349})
+ -- ({\dx*-5.9600},{\dy*0.1629})
+ -- ({\dx*-5.9400},{\dy*0.2134})
+ -- ({\dx*-5.9200},{\dy*0.2691})
+ -- ({\dx*-5.9000},{\dy*0.3260})
+ -- ({\dx*-5.8800},{\dy*0.3829})
+ -- ({\dx*-5.8600},{\dy*0.4391})
+ -- ({\dx*-5.8400},{\dy*0.4940})
+ -- ({\dx*-5.8200},{\dy*0.5472})
+ -- ({\dx*-5.8000},{\dy*0.5985})
+ -- ({\dx*-5.7800},{\dy*0.6477})
+ -- ({\dx*-5.7600},{\dy*0.6945})
+ -- ({\dx*-5.7400},{\dy*0.7387})
+ -- ({\dx*-5.7200},{\dy*0.7800})
+ -- ({\dx*-5.7000},{\dy*0.8184})
+ -- ({\dx*-5.6800},{\dy*0.8537})
+ -- ({\dx*-5.6600},{\dy*0.8856})
+ -- ({\dx*-5.6400},{\dy*0.9142})
+ -- ({\dx*-5.6200},{\dy*0.9392})
+ -- ({\dx*-5.6000},{\dy*0.9606})
+ -- ({\dx*-5.5800},{\dy*0.9783})
+ -- ({\dx*-5.5600},{\dy*0.9923})
+ -- ({\dx*-5.5400},{\dy*1.0024})
+ -- ({\dx*-5.5200},{\dy*1.0086})
+ -- ({\dx*-5.5000},{\dy*1.0109})
+ -- ({\dx*-5.4800},{\dy*1.0094})
+ -- ({\dx*-5.4600},{\dy*1.0039})
+ -- ({\dx*-5.4400},{\dy*0.9947})
+ -- ({\dx*-5.4200},{\dy*0.9816})
+ -- ({\dx*-5.4000},{\dy*0.9648})
+ -- ({\dx*-5.3800},{\dy*0.9443})
+ -- ({\dx*-5.3600},{\dy*0.9203})
+ -- ({\dx*-5.3400},{\dy*0.8929})
+ -- ({\dx*-5.3200},{\dy*0.8621})
+ -- ({\dx*-5.3000},{\dy*0.8283})
+ -- ({\dx*-5.2800},{\dy*0.7914})
+ -- ({\dx*-5.2600},{\dy*0.7519})
+ -- ({\dx*-5.2400},{\dy*0.7098})
+ -- ({\dx*-5.2200},{\dy*0.6655})
+ -- ({\dx*-5.2000},{\dy*0.6193})
+ -- ({\dx*-5.1800},{\dy*0.5717})
+ -- ({\dx*-5.1600},{\dy*0.5230})
+ -- ({\dx*-5.1400},{\dy*0.4741})
+ -- ({\dx*-5.1200},{\dy*0.4260})
+ -- ({\dx*-5.1000},{\dy*0.3804})
+ -- ({\dx*-5.0800},{\dy*0.3405})
+ -- ({\dx*-5.0600},{\dy*0.3135})
+ -- ({\dx*-5.0400},{\dy*0.3204})
+ -- ({\dx*-5.0200},{\dy*0.4657})
+ -- ({\dx*-5.0002},{\dy*41.6531})}
diff --git a/buch/papers/laguerre/images/gammaplot.pdf b/buch/papers/laguerre/images/gammaplot.pdf
new file mode 100644
index 0000000..7c195f2
--- /dev/null
+++ b/buch/papers/laguerre/images/gammaplot.pdf
diff --git a/buch/papers/laguerre/images/gammaplot.tex b/buch/papers/laguerre/images/gammaplot.tex
new file mode 100644
index 0000000..5a68f0a
--- /dev/null
+++ b/buch/papers/laguerre/images/gammaplot.tex
@@ -0,0 +1,73 @@
+%
+% gammaplot.tex -- template for standalon tikz images
+%
+% (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+%
+\documentclass[tikz]{standalone}
+\usepackage{amsmath}
+\usepackage{times}
+\usepackage{txfonts}
+\usepackage{pgfplots}
+\usepackage{csvsimple}
+\usetikzlibrary{arrows,intersections,math}
+\input{gammapaths.tex}
+\begin{document}
+\def\skala{1}
+\begin{tikzpicture}[>=latex,thick,scale=\skala]
+
+\definecolor{mainColor}{HTML}{D72864} % OST pink
+
+\draw[->] (-6.1,0) -- (5.3,0) coordinate[label={$z$}];
+\draw[->] (0,-5.1) -- (0,6.4) coordinate[label={right:$\Gamma(z)$}];
+
+\foreach \x in {-1,-2,-3,-4,-5,-6}{
+	\draw (\x,-0.1) -- (\x,0.1);
+	\draw[line width=0.1pt] (\x,-5) -- (\x,6.2);
+}
+\foreach \x in {1,2,3,4,5}{
+	\draw (\x,-0.1) -- (\x,0.1);
+	\node at (\x,0) [below] {$\x$};
+}
+\foreach \y in {-5,-4,-3,-2,-1,1,2,3,4,5,6}{
+	\draw (-0.1,\y) -- (0.1,\y);
+}
+\foreach \y in {1,2,3,4,5,6}{
+	\node at (0,\y) [left] {$\y$};
+}
+\foreach \y in {-1,-2,-3,-4,-5}{
+	\node at (0,\y) [right] {$\y$};
+}
+\foreach \x in {-1,-3,-5}{
+	\node at (\x,0) [below left] {$\x$};
+}
+\foreach \x in {-2,-4,-6}{
+	\node at (\x,0) [above left] {$\x$};
+}
+
+\def\dx{1}
+\def\dy{1}
+
+\begin{scope}
+\clip (-6.1,-5) rectangle (4.3,6.2);
+
+% \draw[color=darkgreen,line width=1.4pt] \gammasinplus;
+% \draw[color=darkgreen,line width=1.4pt] \gammasinone;
+% \draw[color=darkgreen,line width=1.4pt] \gammasintwo;
+% \draw[color=darkgreen,line width=1.4pt] \gammasinthree;
+% \draw[color=darkgreen,line width=1.4pt] \gammasinfour;
+% \draw[color=darkgreen,line width=1.4pt] \gammasinfive;
+% \draw[color=darkgreen,line width=1.4pt] \gammasinsix;
+
+\draw[color=mainColor,line width=1.4pt] \gammaplus;
+\draw[color=mainColor,line width=1.4pt] \gammaone;
+\draw[color=mainColor,line width=1.4pt] \gammatwo;
+\draw[color=mainColor,line width=1.4pt] \gammathree;
+\draw[color=mainColor,line width=1.4pt] \gammafour;
+\draw[color=mainColor,line width=1.4pt] \gammafive;
+\draw[color=mainColor,line width=1.4pt] \gammasix;
+
+\end{scope}
+
+\end{tikzpicture}
+\end{document}
+
diff --git a/buch/papers/laguerre/images/integrand.pdf b/buch/papers/laguerre/images/integrand.pdf
new file mode 100644
index 0000000..76be412
--- /dev/null
+++ b/buch/papers/laguerre/images/integrand.pdf
diff --git a/buch/papers/laguerre/images/integrand_exp.pdf b/buch/papers/laguerre/images/integrand_exp.pdf
new file mode 100644
index 0000000..5fe7a7b
--- /dev/null
+++ b/buch/papers/laguerre/images/integrand_exp.pdf
diff --git a/buch/papers/laguerre/images/laguerre_poly.pdf b/buch/papers/laguerre/images/laguerre_poly.pdf
new file mode 100644
index 0000000..f31d81d
--- /dev/null
+++ b/buch/papers/laguerre/images/laguerre_poly.pdf
diff --git a/buch/papers/laguerre/images/rel_error_complex.pdf b/buch/papers/laguerre/images/rel_error_complex.pdf
new file mode 100644
index 0000000..c7bb37a
--- /dev/null
+++ b/buch/papers/laguerre/images/rel_error_complex.pdf
diff --git a/buch/papers/laguerre/images/rel_error_mirror.pdf b/buch/papers/laguerre/images/rel_error_mirror.pdf
new file mode 100644
index 0000000..8a27d41
--- /dev/null
+++ b/buch/papers/laguerre/images/rel_error_mirror.pdf
diff --git a/buch/papers/laguerre/images/rel_error_range.pdf b/buch/papers/laguerre/images/rel_error_range.pdf
new file mode 100644
index 0000000..bb8a2d7
--- /dev/null
+++ b/buch/papers/laguerre/images/rel_error_range.pdf
diff --git a/buch/papers/laguerre/images/rel_error_shifted.pdf b/buch/papers/laguerre/images/rel_error_shifted.pdf
new file mode 100644
index 0000000..b7e72dc
--- /dev/null
+++ b/buch/papers/laguerre/images/rel_error_shifted.pdf
diff --git a/buch/papers/laguerre/images/rel_error_simple.pdf b/buch/papers/laguerre/images/rel_error_simple.pdf
new file mode 100644
index 0000000..0072d28
--- /dev/null
+++ b/buch/papers/laguerre/images/rel_error_simple.pdf
diff --git a/buch/papers/laguerre/images/targets.pdf b/buch/papers/laguerre/images/targets.pdf
new file mode 100644
index 0000000..dc61c88
--- /dev/null
+++ b/buch/papers/laguerre/images/targets.pdf