Die Normalform $G_{\mbox{\protect\large BG}}^{\mbox{\protect\normalsize (14)}}$ und
das Quasiintegral $I_{\mbox{\protect\large BG}}^{\mbox{\protect\normalsize (14)}}$

A long nightmare of classical special function theory

allows us to transform this expression into ...

T. H. Boyer, Ann. Phys. 56 (1970) 486.

Wir geben hier die Normalform (4.23) und das formale Integral (4.24) der Brown-Gabrielse-Magnetflasche bis zur vierzehnten Ordnung einschließlich an. Zur Herleitung von $G_{\rm BG}^{(14)}$ und $I_{\rm BG}^{(14)}$ und zur Diskussion dieser Funktionen siehe Kapitel 4.

$${G_{\rm BG}^{(14)}(\rho,z,p_\rho,p_z) =}$$

$$= G_{\rm BG}(\rho,z,p_\rho,p_z) + {{\cal O}\left(\vert{\mbox{\protect\boldmath$z$}}\vert^{16}\right)}$$

$$= %%***************************************************** 0.5 p_z^2 +0.5 p_\rho^2 +0.5 \rho^2 -0.046875 p_\rho^4$$

$${} -0.09375 \rho^2 p_\rho^2 -0.046875 \rho^4 +0.25 z^2 p_\rho^2 +0.25 z^2 \rho^2$$

$${} -0.00585938 p_\rho^6 -0.0175781 \rho^2 p_\rho^4 -0.0175781 \rho^4 p_\rho^2 -0.00585938 \rho^6$$

$${} +0.0390625 z^2 p_\rho^4 +0.078125 z^2 \rho^2 p_\rho^2 +0.0390625 z^2 \rho^4 -0.00160217 p_\rho^8$$

$${} -0.00640869 \rho^2 p_\rho^6 -0.00961304 \rho^4 p_\rho^4 -0.00640869 \rho^6 p_\rho^2 -0.00160217 \rho^8$$

$${} +0.0234375 z^2 p_\rho^6 +0.0703125 z^2 \rho^2 p_\rho^4 +0.0703125 z^2 \rho^4 p_\rho^2 +0.0234375 z^2 \rho^6$$

$${} -0.0377604 z^4 p_\rho^4 -0.0755208 z^4 \rho^2 p_\rho^2 -0.0377604 z^4 \rho^4 -0.000575066 p_\rho^{10} <tex2html_comment_mark>1827$$

$${} -0.00287533 \rho^2 p_\rho^8 -0.00575066 \rho^4 p_\rho^6 -0.00575066 \rho^6 p_\rho^4 -0.00287533 \rho^8 p_\rho^2$$

$${} -0.000575066 \rho^{10} +0.0186996 z^2 p_\rho^8 +0.0747986 z^2 \rho^2 p_\rho^6 +0.112198 z^2 \rho^4 p_\rho^4$$

$${} +0.0747986 z^2 \rho^6 p_\rho^2 +0.0186996 z^2 \rho^8 -0.0577799 z^4 p_\rho^6 -0.17334 z^4 \rho^2 p_\rho^4$$

$${} -0.17334 z^4 \rho^4 p_\rho^2 -0.0577799 z^4 \rho^6 +0.0269531 z^6 p_\rho^4 +0.0539063 z^6 \rho^2 p_\rho^2$$

$${} +0.0269531 z^6 \rho^4 -0.000238448 p_\rho^{12} -0.00143069 \rho^2 p_\rho^{10} -0.00357673 \rho^4 p_\rho^8$$

$${} -0.00476897 \rho^6 p_\rho^6 -0.00357673 \rho^8 p_\rho^4 -0.00143069 \rho^{10} p_\rho^2 -0.000238448 \rho^{12}$$

$${} +0.0172276 z^2 p_\rho^{10} +0.0861382 z^2 \rho^2 p_\rho^8 +0.172276 z^2 \rho^4 p_\rho^6 +0.172276 z^2 \rho^6 p_\rho^4$$

$${} +0.0861382 z^2 \rho^8 p_\rho^2 +0.0172276 z^2 \rho^{10} -0.0811043 z^4 p_\rho^8 -0.324417 z^4 \rho^2 p_\rho^6$$

$${} -0.486626 z^4 \rho^4 p_\rho^4 -0.324417 z^4 \rho^6 p_\rho^2 -0.0811043 z^4 \rho^8 +0.0836534 z^6 p_\rho^6$$

$${} +0.25096 z^6 \rho^2 p_\rho^4 +0.25096 z^6 \rho^4 p_\rho^2 +0.0836534 z^6 \rho^6 -0.0174386 z^8 p_\rho^4$$

$${} -0.0348772 z^8 \rho^2 p_\rho^2 -0.0174386 z^8 \rho^4 -0.000108227 p_\rho^{14} -0.00075759 \rho^2 p_\rho^{12}$$

$${} -0.00227277 \rho^4 p_\rho^{10} -0.00378795 \rho^6 p_\rho^8 -0.00378795 \rho^8 p_\rho^6 -0.00227277 \rho^{10} p_\rho^4$$

$${} -0.00075759 \rho^{12} p_\rho^2 -0.000108227 \rho^{14} +0.0171366 z^2 p_\rho^{12} +0.10282 z^2 \rho^2 p_\rho^{10}$$

$${} +0.25705 z^2 \rho^4 p_\rho^8 +0.342733 z^2 \rho^6 p_\rho^6 +0.25705 z^2 \rho^8 p_\rho^4 +0.10282 z^2 \rho^{10} p_\rho^2$$

$${} +0.0171366 z^2 \rho^{12} -0.110503 z^4 p_\rho^{10} -0.552514 z^4 \rho^2 p_\rho^8 -1.10503 z^4 \rho^4 p_\rho^6$$

$${} -1.10503 z^4 \rho^6 p_\rho^4 -0.552514 z^4 \rho^8 p_\rho^2 -0.110503 z^4 \rho^{10} +0.19886 z^6 p_\rho^8$$

$${} +0.795439 z^6 \rho^2 p_\rho^6 +1.19316 z^6 \rho^4 p_\rho^4 +0.795439 z^6 \rho^6 p_\rho^2 +0.19886 z^6 \rho^8$$

$${} -0.0976632 z^8 p_\rho^6 -0.29299 z^8 \rho^2 p_\rho^4 -0.29299 z^8 \rho^4 p_\rho^2 -0.0976632 z^8 \rho^6$$

$${} +0.0106879 z^{10} p_\rho^4 +0.0213759 z^{10} \rho^2 p_\rho^2 +0.0106879 z^{10} \rho^4 <tex2html_comment_mark>1828$$ (D.1)

$${I_{\rm BG}^{(14)}(\rho,z,p_\rho,p_z) =}$$

$$= I_{\rm BG}(\rho,z,p_\rho,p_z) + {{\cal O}\left(\vert{\mbox{\protect\boldmath$z$}}\vert^{16}\right)}$$

$$= %%***************************************************** 0.5 p_\rho^2 +0.5 \rho^2 +0.046875 p_\rho^4 +0.125 p_z^2 p_\rho^2$$

$${} +0.09375 \rho^2 p_\rho^2 -0.125 \rho^2 p_z^2 -0.078125 \rho^4 +0.5 z \rho p_z p_\rho$$

$${} -0.25 z^2 p_\rho^2 +0.25 z^2 \rho^2 +0.0146484 p_\rho^6 +0.128906 p_z^2 p_\rho^4$$

$${} +0.234375 p_z^4 p_\rho^2 +0.0439453 \rho^2 p_\rho^4 +0.0859375 \rho^2 p_z^2 p_\rho^2 -0.203125 \rho^2 p_z^4$$

$${} +0.0205078 \rho^4 p_\rho^2 -0.136719 \rho^4 p_z^2 -0.000976562 \rho^6 +0.34375 z \rho p_z p_\rho^3$$

$${} +0.875 z \rho p_z^3 p_\rho +0.59375 z \rho^3 p_z p_\rho -0.171875 z^2 p_\rho^4 -0.4375 z^2 p_z^2 p_\rho^2$$

$${} -0.25 z^2 \rho^2 p_\rho^2 +0.4375 z^2 \rho^2 p_z^2 +0.046875 z^2 \rho^4 -0.5 z^3 \rho p_z p_\rho$$

$${} +0.125 z^4 p_\rho^2 +0.00640869 p_\rho^8 +0.132799 p_z^2 p_\rho^6 +0.915161 p_z^4 p_\rho^4$$

$${} +1.28516 p_z^6 p_\rho^2 +0.0256348 \rho^2 p_\rho^6 +0.230916 \rho^2 p_z^2 p_\rho^4 +0.251221 \rho^2 p_z^4 p_\rho^2$$

$${} -1.17578 \rho^2 p_z^6 +0.0274658 \rho^4 p_\rho^4 -0.0710042 \rho^4 p_z^2 p_\rho^2 -0.971558 \rho^4 p_z^4$$

$${} +0.00512695 \rho^6 p_\rho^2 -0.135484 \rho^6 p_z^2 -0.000183105 \rho^8 +0.334961 z \rho p_z p_\rho^5$$

$${} +3.1582 z \rho p_z^3 p_\rho^3 +4.92188 z \rho p_z^5 p_\rho +0.94987 z \rho^3 p_z p_\rho^3 +4.1543 z \rho^3 p_z^3 p_\rho$$

$${} +0.59668 z \rho^5 p_z p_\rho -0.16748 z^2 p_\rho^6 -1.5791 z^2 p_z^2 p_\rho^4 -2.46094 z^2 p_z^4 p_\rho^2$$

$${} -0.458496 z^2 \rho^2 p_\rho^4 -1.02539 z^2 \rho^2 p_z^2 p_\rho^2 +2.46094 z^2 \rho^2 p_z^4 -0.254395 z^2 \rho^4 p_\rho^2$$

$${} +1.45215 z^2 \rho^4 p_z^2 +0.0405273 z^2 \rho^6 -1.25 z^3 \rho p_z p_\rho^3 -3.125 z^3 \rho p_z^3 p_\rho <tex2html_comment_mark>1838$$

$${} -1.5625 z^3 \rho^3 p_z p_\rho +0.3125 z^4 p_\rho^4 +0.78125 z^4 p_z^2 p_\rho^2 +0.304688 z^4 \rho^2 p_\rho^2$$

$${} -0.5625 z^4 \rho^2 p_z^2 -0.0234375 z^4 \rho^4 +0.375 z^5 \rho p_z p_\rho -0.0625 z^6 p_\rho^2$$

$${} +0.00330448 p_\rho^{10} +0.139826 p_z^2 p_\rho^8 +2.7666 p_z^4 p_\rho^6 +13.2975 p_z^6 p_\rho^4$$

$${} +14.8269 p_z^8 p_\rho^2 +0.0165224 \rho^2 p_\rho^8 +0.373581 \rho^2 p_z^2 p_\rho^6 +3.61585 \rho^2 p_z^4 p_\rho^4$$

$${} +1.85999 \rho^2 p_z^6 p_\rho^2 -14.1165 \rho^2 p_z^8 +0.0266361 \rho^4 p_\rho^6 +0.10242 \rho^4 p_z^2 p_\rho^4$$

$${} -2.65573 \rho^4 p_z^4 p_\rho^2 -14.0044 \rho^4 p_z^6 +0.0145054 \rho^6 p_\rho^4 -0.285545 \rho^6 p_z^2 p_\rho^2$$

$${} -3.1921 \rho^6 p_z^4 +0.00141621 \rho^8 p_\rho^2 -0.133078 \rho^8 p_z^2 -0.0000371933 \rho^{10}$$

$${} +0.371446 z \rho p_z p_\rho^7 +9.36791 z \rho p_z^3 p_\rho^5 +49.47 z \rho p_z^5 p_\rho^3 +57.8867 z \rho p_z^7 p_\rho$$

$${} +1.43341 z \rho^3 p_z p_\rho^5 +23.256 z \rho^3 p_z^3 p_\rho^3 +58.4524 z \rho^3 p_z^5 p_\rho +1.68528 z \rho^5 p_z p_\rho^3$$

$${} +13.6119 z \rho^5 p_z^3 p_\rho +0.572591 z \rho^7 p_z p_\rho -0.185723 z^2 p_\rho^8 -4.68395 z^2 p_z^2 p_\rho^6$$

$${} -24.735 z^2 p_z^4 p_\rho^4 -28.9434 z^2 p_z^6 p_\rho^2 -0.717258 z^2 \rho^2 p_\rho^6 -9.63393 z^2 \rho^2 p_z^2 p_\rho^4$$

$${} -9.61816 z^2 \rho^2 p_z^4 p_\rho^2 +28.9434 z^2 \rho^2 p_z^6 -0.833577 z^2 \rho^4 p_\rho^4 -1.0705 z^2 \rho^4 p_z^2 p_\rho^2$$

$${} +24.4684 z^2 \rho^4 p_z^4 -0.246121 z^2 \rho^6 p_\rho^2 +3.89554 z^2 \rho^6 p_z^2 +0.032647 z^2 \rho^8$$

$${} -2.67969 z^3 \rho p_z p_\rho^5 -25.3477 z^3 \rho p_z^3 p_\rho^3 -37.7344 z^3 \rho p_z^5 p_\rho -6.94206 z^3 \rho^3 p_z p_\rho^3$$

$${} -29.8848 z^3 \rho^3 p_z^3 p_\rho -4.19336 z^3 \rho^5 p_z p_\rho +0.669922 z^4 p_\rho^6 +6.33691 z^4 p_z^2 p_\rho^4$$

$${} +9.43359 z^4 p_z^4 p_\rho^2 +1.51831 z^4 \rho^2 p_\rho^4 +3.42773 z^4 \rho^2 p_z^2 p_\rho^2 -8.20312 z^4 \rho^2 p_z^4$$

$${} +0.687988 z^4 \rho^4 p_\rho^2 -3.7373 z^4 \rho^4 p_z^2 -0.0822754 z^4 \rho^6 +2.46094 z^5 \rho p_z p_\rho^3$$

$${} +6.09375 z^5 \rho p_z^3 p_\rho +2.23438 z^5 \rho^3 p_z p_\rho -0.410156 z^6 p_\rho^4 -1.01562 z^6 p_z^2 p_\rho^2$$

$${} -0.28125 z^6 \rho^2 p_\rho^2 +0.53125 z^6 \rho^2 p_z^2 +0.0117188 z^6 \rho^4 -0.25 z^7 \rho p_z p_\rho$$

$${} +0.03125 z^8 p_\rho^2 +0.00187942 p_\rho^{12} +0.150323 p_z^2 p_\rho^{10} +7.72701 p_z^4 p_\rho^8$$

$${} +94.1228 p_z^6 p_\rho^6 +322.962 p_z^8 p_\rho^4 +296.273 p_z^{10} p_\rho^2 +0.0112765 \rho^2 p_\rho^{10}$$

$${} +0.53184 \rho^2 p_z^2 p_\rho^8 +17.8236 \rho^2 p_z^4 p_\rho^6 +110.794 \rho^2 p_z^6 p_\rho^4 +27.7808 \rho^2 p_z^8 p_\rho^2$$

$${} -287.964 \rho^2 p_z^{10} +0.0240608 \rho^4 p_\rho^8 +0.390488 \rho^4 p_z^2 p_\rho^6 +1.25246 \rho^4 p_z^4 p_\rho^4$$

$${} -94.0425 \rho^4 p_z^6 p_\rho^2 -335.96 \rho^4 p_z^8 +0.0214666 \rho^6 p_\rho^6 -0.392101 \rho^6 p_z^2 p_\rho^4$$

$${} -18.1341 \rho^6 p_z^4 p_\rho^2 -105.668 \rho^6 p_z^6 +0.00701264 \rho^8 p_\rho^4 -0.523557 \rho^8 p_z^2 p_\rho^2$$

$${} -8.99752 \rho^8 p_z^4 +0.000418961 \rho^{10} p_\rho^2 -0.131118 \rho^{10} p_z^2 -0.00000813603 \rho^{12}$$

$${} +0.439555 z \rho p_z p_\rho^9 +26.1689 z \rho p_z^3 p_\rho^7 +343.148 z \rho p_z^5 p_\rho^5 +1236.29 z \rho p_z^7 p_\rho^3$$

$${} +1168.47 z \rho p_z^9 p_\rho +2.13346 z \rho^3 p_z p_\rho^7 +93.6319 z \rho^3 p_z^3 p_\rho^5 +792.752 z \rho^3 p_z^5 p_\rho^3$$

$${} +1384.58 z \rho^3 p_z^7 p_\rho +3.61214 z \rho^5 p_z p_\rho^5 +106.754 z \rho^5 p_z^3 p_\rho^3 +444.183 z \rho^5 p_z^5 p_\rho$$

$${} +2.45851 z \rho^7 p_z p_\rho^3 +38.3912 z \rho^7 p_z^3 p_\rho +0.542959 z \rho^9 p_z p_\rho -0.219777 z^2 p_\rho^{10}$$

$${} -13.0844 z^2 p_z^2 p_\rho^8 -171.574 z^2 p_z^4 p_\rho^6 -618.143 z^2 p_z^6 p_\rho^4 -584.237 z^2 p_z^8 p_\rho^2$$

$${} -1.08236 z^2 \rho^2 p_\rho^8 -43.3236 z^2 \rho^2 p_z^2 p_\rho^6 -291.366 z^2 \rho^2 p_z^4 p_\rho^4 -163.127 z^2 \rho^2 p_z^6 p_\rho^2$$

$${} +584.237 z^2 \rho^2 p_z^8 -1.8563 z^2 \rho^4 p_\rho^6 -37.5132 z^2 \rho^4 p_z^2 p_\rho^4 +46.6661 z^2 \rho^4 p_z^4 p_\rho^2$$

$${} +621.35 z^2 \rho^4 p_z^6 -1.25337 z^2 \rho^6 p_\rho^4 +3.16803 z^2 \rho^6 p_z^2 p_\rho^2 +166.022 z^2 \rho^6 p_z^4$$

$${} -0.229401 z^2 \rho^8 p_\rho^2 +9.74871 z^2 \rho^8 p_z^2 +0.0261745 z^2 \rho^{10} -5.63655 z^3 \rho p_z p_\rho^7$$

$${} -143.371 z^3 \rho p_z^3 p_\rho^5 -697.709 z^3 \rho p_z^5 p_\rho^3 -769.098 z^3 \rho p_z^7 p_\rho -21.897 z^3 \rho^3 p_z p_\rho^5$$

$${} -347.253 z^3 \rho^3 p_z^3 p_\rho^3 -791.476 z^3 \rho^3 p_z^5 p_\rho -27.1089 z^3 \rho^5 p_z p_\rho^3 -203.22 z^3 \rho^5 p_z^3 p_\rho$$

$${} -10.6457 z^3 \rho^7 p_z p_\rho +1.40914 z^4 p_\rho^8 +35.8427 z^4 p_z^2 p_\rho^6 +174.427 z^4 p_z^4 p_\rho^4 <tex2html_comment_mark>1839$$

$${} +192.274 z^4 p_z^6 p_\rho^2 +4.90007 z^4 \rho^2 p_\rho^6 +68.6589 z^4 \rho^2 p_z^2 p_\rho^4 +64.9764 z^4 \rho^2 p_z^4 p_\rho^2$$

$${} -177.803 z^4 \rho^2 p_z^6 +5.21614 z^4 \rho^4 p_\rho^4 +10.7558 z^4 \rho^4 p_z^2 p_\rho^2 -136.314 z^4 \rho^4 p_z^4$$

$${} +1.45455 z^4 \rho^6 p_\rho^2 -20.2878 z^4 \rho^6 p_z^2 -0.226563 z^4 \rho^8 +9.9668 z^5 \rho p_z p_\rho^5$$

$${} +93.9463 z^5 \rho p_z^3 p_\rho^3 +136.582 z^5 \rho p_z^5 p_\rho +22.1815 z^5 \rho^3 p_z p_\rho^3 +94.3052 z^5 \rho^3 p_z^3 p_\rho$$

$${} +11.1938 z^5 \rho^5 p_z p_\rho -1.66113 z^6 p_\rho^6 -15.6577 z^6 p_z^2 p_\rho^4 -22.7637 z^6 p_z^4 p_\rho^2$$

$${} -3.09924 z^6 \rho^2 p_\rho^4 -6.98975 z^6 \rho^2 p_z^2 p_\rho^2 +16.6797 z^6 \rho^2 p_z^4 -1.10962 z^6 \rho^4 p_\rho^2$$

$${} +5.88379 z^6 \rho^4 p_z^2 +0.0931396 z^6 \rho^6 -3.55469 z^7 \rho p_z p_\rho^3 -8.75 z^7 \rho p_z^3 p_\rho$$

$${} -2.42188 z^7 \rho^3 p_z p_\rho +0.444336 z^8 p_\rho^4 +1.09375 z^8 p_z^2 p_\rho^2 +0.224609 z^8 \rho^2 p_\rho^2$$

$${} -0.429688 z^8 \rho^2 p_z^2 -0.00585938 z^8 \rho^4 +0.15625 z^9 \rho p_z p_\rho -0.015625 z^{10} p_\rho^2$$

$${} +0.00114108 p_\rho^{14} +0.164594 p_z^2 p_\rho^{12} +20.9562 p_z^4 p_\rho^{10} +572.339 p_z^6 p_\rho^8$$

$${} +4470.53 p_z^8 p_\rho^6 +11694 p_z^{10} p_\rho^4 +9098.43 p_z^{12} p_\rho^2 +0.00798755 \rho^2 p_\rho^{12}$$

$${} +0.717845 \rho^2 p_z^2 p_\rho^{10} +69.1212 \rho^2 p_z^4 p_\rho^8 +1261.44 \rho^2 p_z^6 p_\rho^6 +5009.39 \rho^2 p_z^8 p_\rho^4$$

$${} +693.361 \rho^2 p_z^{10} p_\rho^2 -8936.71 \rho^2 p_z^{12} +0.0211435 \rho^4 p_\rho^{10} +0.819332 \rho^4 p_z^2 p_\rho^8$$

$${} +47.8857 \rho^4 p_z^4 p_\rho^6 +75.6815 \rho^4 p_z^6 p_\rho^4 -4454.98 \rho^4 p_z^8 p_\rho^2 -12046.6 \rho^4 p_z^{10}$$

$${} +0.0261002 \rho^6 p_\rho^8 -0.407043 \rho^6 p_z^2 p_\rho^6 -53.1792 \rho^6 p_z^4 p_\rho^4 -1272.74 \rho^6 p_z^6 p_\rho^2$$

$${} -4864.87 \rho^6 p_z^8 +0.0148444 \rho^8 p_\rho^6 -1.31797 \rho^8 p_z^2 p_\rho^4 -76.1788 \rho^8 p_z^4 p_\rho^2$$

$${} -652.665 \rho^8 p_z^6 +0.00321577 \rho^{10} p_\rho^4 -0.769472 \rho^{10} p_z^2 p_\rho^2 -23.4898 \rho^{10} p_z^4$$

$${} +0.000129797 \rho^{12} p_\rho^2 -0.129845 \rho^{12} p_z^2 -0.0000018999 \rho^{14} +0.539436 z \rho p_z p_\rho^{11}$$

$${} +71.3199 z \rho p_z^3 p_\rho^9 +2055.83 z \rho p_z^5 p_\rho^7 +16804.4 z \rho p_z^7 p_\rho^5 +45389.3 z \rho p_z^9 p_\rho^3$$

$${} +36070.3 z \rho p_z^{11} p_\rho +3.1495 z \rho^3 p_z p_\rho^9 +330.519 z \rho^3 p_z^3 p_\rho^7 +6983.54 z \rho^3 p_z^5 p_\rho^5$$

$${} +37211.5 z \rho^3 p_z^7 p_\rho^3 +49277 z \rho^3 p_z^9 p_\rho +6.92199 z \rho^5 p_z p_\rho^7 +553.696 z \rho^5 p_z^3 p_\rho^5$$

$${} +7720.09 z \rho^5 p_z^5 p_\rho^3 +20252.8 z \rho^5 p_z^7 p_\rho +7.03511 z \rho^7 p_z p_\rho^5 +394.887 z \rho^7 p_z^3 p_\rho^3$$

$${} +2770.05 z \rho^7 p_z^5 p_\rho +3.22625 z \rho^9 p_z p_\rho^3 +100.426 z \rho^9 p_z^3 p_\rho +0.515984 z \rho^{11} p_z p_\rho$$

$${} -0.269718 z^2 p_\rho^{12} -35.6599 z^2 p_z^2 p_\rho^{10} -1027.92 z^2 p_z^4 p_\rho^8 -8402.21 z^2 p_z^6 p_\rho^6$$

$${} -22694.7 z^2 p_z^8 p_\rho^4 -18035.1 z^2 p_z^{10} p_\rho^2 -1.60703 z^2 \rho^2 p_\rho^{10} -159.385 z^2 \rho^2 p_z^2 p_\rho^8$$

Es sei noch angemerkt, daß wir die Koeffizienten der Monome von $G_{\rm BG}^{(14)}$ und $I_{\rm BG}^{(14)}$ erheblich genauer bestimmt haben als sie hier angegeben sind. Siehe hierzu Abschnitt 4.1.2.