LSE/6D-R-s-nu-new-precalc.mw at master · giogina/LSE · GitHub

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
<?xml version="1.0" encoding="UTF-8"?>
<Worksheet>
<Version major="2016" minor="0"/>
<Label-Scheme value="2" prefix=""/>
<View-Properties presentation="false" autoexpanding_sections="true" UserProfileName="Maple Default Profile" NumericFormat-ApplyInteger="true" NumericFormat-ApplyRational="true" NumericFormat-ApplyExponent="false">
</View-Properties>
<MapleNet-Properties prettyprint="3" warnlevel="3" preplot="" helpbrowser="standard" contextmenusize="condensed" displayprecision="-1" echo="1" unitattributes="&quot;fontweight&quot; = &quot;bold&quot;" imaginaryunit="I" longdelim="true" elisiontermsthreshold="10000" elisiondigitsafter="100" elisiondigitsbefore="100" plotdevice="inline" errorbreak="1" plotoptions="" plotdriver="opengl" quiet="false" elisiontermsbefore="100" elisiontermsafter="100" screenwidth="79" indentamount="4" plotoutput="terminal" screenpixelheight="1080" rtablesize="10" useclientjvm="true" labelwidth="20" postplot="" typesetting="standard" ansi="false" elisiondigitsthreshold="10000" showassumed="0" errorcursor="false" labelling="true" screenheight="25" prompt="&gt; " verboseproc="1" latexwidth="8.0" ShowLabels="false"/>
<Styles>
<Font name="Heading 1" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="18" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Warning" background="[255,255,255]" bold="false" executable="false" family="Courier New" foreground="[0,0,255]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="2D Output" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,255]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Heading 4" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Line Printed Output" background="[255,255,255]" bold="false" executable="false" family="Courier New" foreground="[0,0,255]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Heading 2" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="16" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Maple Output" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="2D Inert Output" background="[255,255,255]" bold="false" executable="true" family="Times New Roman" foreground="[144,144,144]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Heading 3" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="14" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Diagnostic" background="[255,255,255]" bold="false" executable="false" family="Courier New" foreground="[40,120,40]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Ordered List 1" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Maple Input" background="[255,255,255]" bold="true" executable="true" family="Courier New" foreground="[120,0,14]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Text Output" background="[255,255,255]" bold="false" executable="false" family="Courier New" foreground="[0,0,255]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Ordered List 2" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Ordered List 3" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Ordered List 4" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Ordered List 5" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Annotation Title" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="18" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Header and Footer" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="10" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="HyperlinkError" background="[255,255,255]" bold="false" executable="false" family="Courier New" foreground="[255,0,255]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="true" placeholder="false"/>
<Font name="Atomic Variable" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[175,0,175]" italic="true" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="HyperlinkWarning" background="[255,255,255]" bold="false" executable="false" family="Courier New" foreground="[0,0,255]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="true" placeholder="false"/>
<Font name="Dictionary Hyperlink" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[147,0,15]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="true" placeholder="false"/>
<Font name="2D Math" background="[255,255,255]" bold="false" executable="true" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Bullet Item" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Maple Plot" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Annotation Text" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="List Item" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Dash Item" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="2D Input" background="[255,255,255]" bold="false" executable="true" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Error" background="[255,255,255]" bold="false" executable="false" family="Courier New" foreground="[255,0,255]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Title" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="18" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Text" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Normal" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Caption Reference" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Code" background="[255,255,255]" bold="false" executable="false" family="Courier New" foreground="[255,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Maple Input Placeholder" background="[255,255,255]" bold="true" executable="true" family="Courier New" foreground="[200,0,200]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="true"/>
<Font name="Equation Label" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Author" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Hyperlink" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,128,128]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="true" placeholder="false"/>
<Font name="Caption Text" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Layout name="Heading 1" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="8" spacebelow="4" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Warning" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Heading 4" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Line Printed Output" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="any" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Heading 2" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="8" spacebelow="2" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Maple Output" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.3" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Heading 3" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Diagnostic" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="any" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Ordered List 1" alignment="left" bullet="numeric" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="-1" bulletsuffix="."/>
<Layout name="Text Output" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="newline" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Ordered List 2" alignment="left" bullet="alphabetic" firstindent="0" leftmargin="36" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="-1" bulletsuffix="."/>
<Layout name="Ordered List 3" alignment="left" bullet="roman" firstindent="0" leftmargin="72" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="-1" bulletsuffix="."/>
<Layout name="Ordered List 4" alignment="left" bullet="ALPHABETIC" firstindent="0" leftmargin="108" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="-1" bulletsuffix="."/>
<Layout name="Ordered List 5" alignment="left" bullet="ROMAN" firstindent="0" leftmargin="144" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="-1" bulletsuffix="."/>
<Layout name="Annotation Title" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="12" spacebelow="12" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="HyperlinkError" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="HyperlinkWarning" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Bullet Item" alignment="left" bullet="dot" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Maple Plot" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="List Item" alignment="left" bullet="indent" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Dash Item" alignment="left" bullet="dash" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Error" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Title" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="12" spacebelow="12" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Normal" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Author" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="8" spacebelow="8" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Pencil-style name="Pencil 1" pen-color="[0,0,0]" pen-height="1.0" pen-width="1.0" pen-opacity="1.0"/>
<Pencil-style name="Pencil 2" pen-color="[0,0,255]" pen-height="1.0" pen-width="1.0" pen-opacity="1.0"/>
<Pencil-style name="Pencil 3" pen-color="[0,0,0]" pen-height="3.0" pen-width="3.0" pen-opacity="1.0"/>
<Pencil-style name="Pencil 4" pen-color="[0,0,255]" pen-height="3.0" pen-width="3.0" pen-opacity="1.0"/>
<Pencil-style name="Pencil 5" pen-color="[255,0,0]" pen-height="5.0" pen-width="5.0" pen-opacity="1.0"/>
<Highlighter-style name="Highlighter 5" pen-color="[255,255,0]" pen-height="48.0" pen-width="48.0" pen-opacity="0.8"/>
<Highlighter-style name="Highlighter 3" pen-color="[51,255,0]" pen-height="24.0" pen-width="24.0" pen-opacity="0.8"/>
<Highlighter-style name="Highlighter 4" pen-color="[0,255,255]" pen-height="32.0" pen-width="32.0" pen-opacity="0.8"/>
<Highlighter-style name="Highlighter 1" pen-color="[255,153,255]" pen-height="12.0" pen-width="8.0" pen-opacity="0.8"/>
<Highlighter-style name="Highlighter 2" pen-color="[255,204,0]" pen-height="14.0" pen-width="14.0" pen-opacity="0.8"/>
</Styles>
<Startup-Code startupcode=""/>
<Task-table>
    <Task-category name="&lt;default&gt;"/>
</Task-table>
<Task/>
<Group hide-input="false" hide-output="false" labelreference="L1" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">restart:
with(GiosTools):
with(LinearAlgebra):

proc (phi) options operator, arrow;
(-(1/2)*(diff(diff(phi, r14), r14))+(1/2)*(r12^2-r14^2-r24^2)*(diff(diff(phi, r14), r24))/(r14*r24)+(1/2)*(r13^2-r14^2-r34^2)*(diff(diff(phi, r14), r34))/(r14*r34)-(1/2)*(diff(diff(phi, r24), r24))+(1/2)*(r23^2-r24^2-r34^2)*(diff(diff(phi, r24), r34))/(r24*r34)-(1/2)*(diff(diff(phi, r34), r34))-(diff(phi, r14))/r14-(diff(phi, r24))/r24-(diff(phi, r34))/r34)/m4+(-(1/2)*(diff(diff(phi, r13), r13))+(1/2)*(r12^2-r13^2-r23^2)*(diff(diff(phi, r13), r23))/(r23*r13)-(1/2)*(r13^2-r14^2+r34^2)*(diff(diff(phi, r13), r34))/(r34*r13)-(1/2)*(diff(diff(phi, r23), r23))-(1/2)*(r23^2-r24^2+r34^2)*(diff(diff(phi, r23), r34))/(r34*r23)-(1/2)*(diff(diff(phi, r34), r34))-(diff(phi, r13))/r13-(diff(phi, r23))/r23-(diff(phi, r34))/r34)/m3+(-(1/2)*(diff(diff(phi, r12), r12))-(1/2)*(r12^2-r13^2+r23^2)*(diff(diff(phi, r12), r23))/(r23*r12)-(1/2)*(r12^2-r14^2+r24^2)*(diff(diff(phi, r12), r24))/(r12*r24)-(1/2)*(diff(diff(phi, r23), r23))-(1/2)*(r23^2+r24^2-r34^2)*(diff(diff(phi, r23), r24))/(r23*r24)-(1/2)*(diff(diff(phi, r24), r24))-(diff(phi, r12))/r12-(diff(phi, r23))/r23-(diff(phi, r24))/r24)/m2+(-(1/2)*(diff(diff(phi, r12), r12))-(1/2)*(r12^2+r13^2-r23^2)*(diff(diff(phi, r12), r13))/(r12*r13)-(1/2)*(r12^2+r14^2-r24^2)*(diff(diff(phi, r12), r14))/(r14*r12)-(1/2)*(diff(diff(phi, r13), r13))-(1/2)*(r13^2+r14^2-r34^2)*(diff(diff(phi, r13), r14))/(r14*r13)-(1/2)*(diff(diff(phi, r14), r14))-(diff(phi, r12))/r12-(diff(phi, r13))/r13-(diff(phi, r14))/r14)/m1
end proc:

unapply(subs([r34 = rAB, r14 = rA1, r13 = rB1, r23 = rB2, r24 = rA2], subs(phi(r12, r23, r34, r13, r24, r14) = phi,
eval(%(phi(r12, r23, r34, r13, r24, r14)), [m1=1, m2=1, m3=M, m4=M]))), phi):
T1234:=%:

Vop := (1/rAB+1/r12-1/rA1-1/rA2-1/rB1-1/rB2):
TAB12M := unapply(subs(phi(rAB, rA1, rA2, rB1, rB2, r12)=phi, eval(T1234(phi(rAB, rA1, rA2, rB1, rB2, r12)), [M=M])), phi);

Digits:=30;

</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">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</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEnRGlnaXRzRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEqfiYjODc4ODt+RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRkwtSSNtbkdGJDYkUSMzMEYnRjkvJStmb3JlZ3JvdW5kR1EoWzAsMCwwXUYnLyUpcmVhZG9ubHlHRj1GOQ==">IiNJ</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" hide-output="false" labelreference="L4544" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">subs({
r12^2-rA1^2-rA2^2 = -(cos1A2)*rA1*rA2*2,
-rA1^2-rAB^2+rB1^2 = -cos1AB*rA1*rAB*2,
-rA2^2-rAB^2+rB2^2 = -cos2AB*rA2*rAB*2,
r12^2-rB1^2-rB2^2 = -cos1B2*rB1*rB2*2,
-rA1^2+rAB^2+rB1^2 = cos1BA*rAB*rB1*2,
-rA2^2+rAB^2+rB2^2 = cos2BA*rAB*rB2*2,
r12^2-rB1^2+rB2^2 = cos12B*rB2*r12*2,
r12^2-rA1^2+rA2^2 = cos12A*r12*rA2*2,
rA2^2-rAB^2+rB2^2 = cosA2B*rB2*rA2*2,
r12^2+rB1^2-rB2^2 = cos21B*r12*rB1*2,
r12^2+rA1^2-rA2^2 = cos21A*rA1*r12*2,
rA1^2-rAB^2+rB1^2 = cosA1B*rA1*rB1*2

}, # [cos1A2, ]

TAB12M(phi(rAB, rA1, rA2, rB1, rB2, r12))):
collect(eval(collect(%, [diff, phi], factor@simplify), M+1=N*M), [N, M]):
cosT:=unapply(subs(phi(rAB, rA1, rA2, rB1, rB2, r12)=phi, %), phi);

nops(%%);


</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">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</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUkjbW5HNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JFEjMTBGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">IiM1</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" hide-output="false" labelreference="L4563" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">{
-(r12^2-rA1^2-rA2^2) = (cos1A2)*rA1*rA2*2,
-(-rA1^2-rAB^2+rB1^2) = cos1AB*rA1*rAB*2,
-(-rA2^2-rAB^2+rB2^2) = cos2AB*rA2*rAB*2,
-(r12^2-rB1^2-rB2^2) = cos1B2*rB1*rB2*2,
-rA1^2+rAB^2+rB1^2 = cos1BA*rAB*rB1*2,
-rA2^2+rAB^2+rB2^2 = cos2BA*rAB*rB2*2,
r12^2-rB1^2+rB2^2 = cos12B*rB2*r12*2,
r12^2-rA1^2+rA2^2 = cos12A*r12*rA2*2,
rA2^2-rAB^2+rB2^2 = cosA2B*rB2*rA2*2,
r12^2+rB1^2-rB2^2 = cos21B*r12*rB1*2,
r12^2+rA1^2-rA2^2 = cos21A*rA1*r12*2,
rA1^2-rAB^2+rB1^2 = cosA1B*rA1*rB1*2

}:
[op(map(zz-&gt;op(1, rhs(zz/2)) = solve(zz, op(1, rhs(zz/2))), %))];

CodeGeneration:-Python(%);</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">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</Equation></Text-field>
</Output>
<Output><Text-field style="Line Printed Output" layout="Line Printed Output">cos12A = (r12 ** 2 - rA1 ** 2 + rA2 ** 2) / r12 / rA2 / 2
cos12B = (r12 ** 2 - rB1 ** 2 + rB2 ** 2) / r12 / rB2 / 2
cos1A2 = -(r12 ** 2 - rA1 ** 2 - rA2 ** 2) / rA1 / rA2 / 2
cos1AB = (rA1 ** 2 + rAB ** 2 - rB1 ** 2) / rA1 / rAB / 2
cos1B2 = -(r12 ** 2 - rB1 ** 2 - rB2 ** 2) / rB1 / rB2 / 2
cos1BA = -(rA1 ** 2 - rAB ** 2 - rB1 ** 2) / rAB / rB1 / 2
cos21A = (r12 ** 2 + rA1 ** 2 - rA2 ** 2) / r12 / rA1 / 2
cos21B = (r12 ** 2 + rB1 ** 2 - rB2 ** 2) / r12 / rB1 / 2
cos2AB = (rA2 ** 2 + rAB ** 2 - rB2 ** 2) / rA2 / rAB / 2
cos2BA = -(rA2 ** 2 - rAB ** 2 - rB2 ** 2) / rAB / rB2 / 2
cosA1B = (rA1 ** 2 - rAB ** 2 + rB1 ** 2) / rA1 / rB1 / 2
cosA2B = (rA2 ** 2 - rAB ** 2 + rB2 ** 2) / rA2 / rB2 / 2</Text-field>
</Output>
</Group>
<Group hide-input="false" hide-output="false" labelreference="L4553" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">[mu1=(rA1-rB1)/R, mu2=(rA2-rB2)/R, t=(1/2)*(rA1+rB1-rA2-rB2)/R, s=rA1+rB1+rA2+rB2, rAB=R];
solve(%, [rA1, rA2, rB1, rB2, rAB])[1];
#collect(PDEtools:-dchange({op(%)}, cosT(phi(rAB, rA1, rA2, rB1, rB2, r12))),[diff, R], simplify):
#simplify(eval(%, phi(R, mu1, s, t, mu2, r12)=R^h*s^n*t^m*mu1^i*mu2^j*r12^k)/(R^h*s^n*t^m*mu1^i*mu2^j*r12^k));

stmuSubs := {(rA1+rB1-rA2-rB2)=2*t*rAB, rA1+rB1+rA2+rB2=s, (rA1-rB1)=mu1*rAB, (rA2-rB2)=mu2*rAB};
</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">NycvSSRtdTFHNiIqJiwmSSRyQTFHRiUiIiJJJHJCMUdGJSEiIkYpSSJSR0YlRisvSSRtdTJHRiUqJiwmSSRyQTJHRiVGKUkkckIyR0YlRitGKUYsRisvSSJ0R0YlLCQqJiwqRihGKUYqRilGMUYrRjJGK0YpRixGKyNGKSIiIy9JInNHRiUsKkYoRilGKkYpRjFGKUYyRikvSSRyQUJHRiVGLA==</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">NycvSSRyQTFHNiIsKComSSRtdTFHRiUiIiJJIlJHRiVGKSNGKSIiIyomSSJ0R0YlRilGKkYpRitJInNHRiUjRikiIiUvSSRyQTJHRiUsKComSSRtdTJHRiVGKUYqRilGK0YtIyEiIkYsRi9GMC9JJHJCMUdGJSwoRidGN0YtRitGL0YwL0kkckIyR0YlLChGNUY3Ri1GN0YvRjAvSSRyQUJHRiVGKg==</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">PCYvLCZJJHJBMUc2IiIiIkkkckIxR0YmISIiKiZJJG11MUdGJkYnSSRyQUJHRiZGJy8sJkkkckEyR0YmRidJJHJCMkdGJkYpKiZJJG11MkdGJkYnRixGJy8sKkYlRidGKEYnRi9GKUYwRiksJComSSJ0R0YmRidGLEYnIiIjLywqRiVGJ0YoRidGL0YnRjBGJ0kic0dGJg==</Equation></Text-field>
</Output>
</Group>
<Group hide-output="false" labelreference="L4562" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">func := unapply(rA1+rB1+rA2+rB2, rAB, rA1, rA2, rB1, rB2, r12):
CodeGeneration:-Python(
    func,
    resultname = &quot;calc_s&quot;,   # name of Python function
    optimize   = true,
    output     = &quot;/home/giogina/PycharmProjects/LSE/primitives.py&quot;
);</Text-field>
</Input>
</Group>
<Group hide-output="false" labelreference="L4559" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># TODO:
# * check that the diagonalization-weighing doesn't mess with the eigenvalues (much)</Text-field>
</Input>
</Group>
<Group hide-input="false" hide-output="false" labelreference="L4569" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">collect(
eval(coeff(map(zz-&gt;simplify(zz/subs(stmuSubs, bans)), expand(subs(stmuSubs, cosT(bans)))), m, 1),[i=0, h=0, j=0, n=0, k=0])
, [N, M, rAB, t])
;</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">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</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" hide-output="false" labelreference="L4573" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">(0.5*( M1M*(v2-v1) - c3*delta - 2*c6*alpha + c9*beta)*inv_t
- c8*alpha - 2.0*beta*M_inv )*inv_rAB
+ 0.25*( M1M*2.0 + c2 - c7 )*inv_t_2*inv_rAB_2
+ M_inv*inv_rAB_2:
eval(%, [ c2 = cosA1B + cosA2B,
                c3 = (cos12A - cos21B + cos12B - cos21A),
                c4 = cos21A - cos21B,
                c5 = cos12A - cos12B,
                c6 = cosA2B - cosA1B,
                c7 = M_inv*(cos1A2 + cos1B2),
                c8 = M_inv*(cos1AB + cos1BA + cos2AB + cos2BA),
                c9 = M_inv*(cos1AB + cos1BA - cos2AB - cos2BA),
                c10 = M_inv*(cos1A2-cos1B2),
                c11 = M_inv*(cos1AB-cos1BA),
                c12 = M_inv*(cos2AB-cos2BA)]):
eval(coeff(coeff(%, M_inv,0), M1M, 0), [inv_t = 1/t, inv_t_2=1/t^2, inv_rAB=1/rAB, inv_rAB_2=1/rAB^2]):
collect(%, [alpha, rAB, delta]);
(-(1/2)*cos12A*delta+(1/2)*cos21B*delta+cosA1B*alpha-cosA2B*alpha+(1/2)*cos21A*delta-(1/2)*cos12B*delta)/(t*rAB)+((1/4)*cosA2B+(1/4)*cosA1B)/(t^2*rAB^2);
simplify(%%-%);</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LCgqKiwmSSdjb3NBMUJHNiIkIiIjIiIhSSdjb3NBMkJHRiYkISIjRikiIiJJInRHRiYhIiJJJHJBQkdGJkYvSSZhbHBoYUdGJkYtJCIiJkYvKiosKkknY29zMjFCR0YmJEYvRilJJ2NvczEyQkdGJkYtSSdjb3MxMkFHRiZGLUknY29zMjFBR0YmRjdGLUkmZGVsdGFHRiZGLUYuRi9GMEYvJCEiJkYvKigsJkYlRi1GKkYtRi1GLkYsRjBGLCQiI0RGLA==</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkmbWZyYWNHRiQ2KC1GIzYmLUYjNi8tSSNtb0dGJDYtUSomdW1pbnVzMDtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjsvJSlzdHJldGNoeUdGOy8lKnN5bW1ldHJpY0dGOy8lKGxhcmdlb3BHRjsvJS5tb3ZhYmxlbGltaXRzR0Y7LyUnYWNjZW50R0Y7LyUnbHNwYWNlR1EsMC4yMjIyMjIyZW1GJy8lJ3JzcGFjZUdGSi1GIzYoLUYsNigtSSNtbkdGJDYkUSIxRidGNi1GUjYkUSIyRidGNi8lLmxpbmV0aGlja25lc3NHRlQvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGZm4vJSliZXZlbGxlZEdGOy1GMzYtUTEmSW52aXNpYmxlVGltZXM7RidGNkY5RjxGPkZARkJGREZGL0ZJUSYwLjBlbUYnL0ZMRl9vLUYjNiYtSSNtaUdGJDYlUSdjb3MxMkFGJy8lJ2l0YWxpY0dRJXRydWVGJy9GN1EnaXRhbGljRidGW28tRmRvNiVRJyYjOTQ4O0YnL0Zob0Y7RjZGNi8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJSlyZWFkb25seUdGO0Y2LUYzNi1RIitGJ0Y2RjlGPEY+RkBGQkZERkZGSEZLLUYjNihGT0Zbby1GIzYmLUZkbzYlUSdjb3MyMUJGJ0Znb0Zqb0Zbb0ZccEY2RmBwRmNwRjZGZXAtRiM2Ji1GZG82JVEnY29zQTFCRidGZ29Gam9GW28tRmRvNiVRJyYjOTQ1O0YnRl9wRjZGNi1GMzYtUSgmbWludXM7RidGNkY5RjxGPkZARkJGREZGRkhGSy1GIzYmLUZkbzYlUSdjb3NBMkJGJ0Znb0Zqb0Zbb0ZkcUY2RmVwLUYjNihGT0Zbby1GIzYmLUZkbzYlUSdjb3MyMUFGJ0Znb0Zqb0Zbb0ZccEY2RmBwRmNwRjZGZ3EtRiM2KEZPRltvLUYjNiYtRmRvNiVRJ2NvczEyQkYnRmdvRmpvRltvRlxwRjZGYHBGY3BGNkY2RmBwRmNwRjYtRiM2KC1GZG82JVEidEYnRmdvRmpvRltvLUZkbzYlUSRyQUJGJ0Znb0Zqb0ZgcEZjcEY2RlhGWkZnbkZpbkZlcC1GLDYoLUYjNiYtRiM2Ji1GIzYoLUYsNihGUS1GUjYkUSI0RidGNkZYRlpGZ25GaW5GW28tRiM2JEZcckY2RmBwRmNwRjZGZXAtRiM2KEZddEZbby1GIzYkRmFxRjZGYHBGY3BGNkY2RmBwRmNwRjYtRiM2KC1JJW1zdXBHRiQ2JUZfc0ZVLyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJ0Zbby1GW3U2JUZic0ZVRl11RmBwRmNwRjZGWEZaRmduRmluRjY=">LCYqKCwuKiZJJ2NvczEyQUc2IiIiIkkmZGVsdGFHRidGKCMhIiIiIiMqJkknY29zMjFCR0YnRihGKUYoI0YoRiwqJkknY29zQTFCR0YnRihJJmFscGhhR0YnRihGKComSSdjb3NBMkJHRidGKEYyRihGKyomSSdjb3MyMUFHRidGKEYpRihGLyomSSdjb3MxMkJHRidGKEYpRihGKkYoSSJ0R0YnRitJJHJBQkdGJ0YrRigqKCwmRjQjRigiIiVGMUY9RihGOSEiI0Y6Rj9GKA==</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUkjbW5HNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JFEjMC5GJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">JCIiIUYj</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" hide-output="false" labelreference="L4558" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># The (M+1)/M factor

phi -&gt; -(1/2)*(diff(diff(phi, rA1), rA1))-(1/2)*(diff(diff(phi, rA2), rA2))-(1/2)*(diff(diff(phi, rB1), rB1))-(1/2)*(diff(diff(phi, rB2), rB2))-(diff(phi, rA1))/rA1-(diff(phi, rA2))/rA2-(diff(phi, rB1))/rB1-(diff(phi, rB2))/rB2;

bans:= rAB^h*r12^k*(rA1+rB1+rA2+rB2)^n*((rA1+rB1-rA2-rB2)/rAB/2)^m*((rA1-rB1)/rAB)^i*((rA2-rB2)/rAB)^j*exp(-alpha*(rA1+rB1+rA2+rB2)-beta*rAB-delta*r12);
print(subs(stmuSubs, %));
map(zz-&gt;simplify(zz/subs(stmuSubs, bans)), expand(subs(stmuSubs, %%(bans))));
#eval(%, [1/rA1 = -1/rB1+ve1, 1/rA2 = -1/rB2+ve2]):
collect(%, [rAB, ve1, ve2, mu1, mu2, rA1, rA2, rB1, rB2, s]);
collect(%, [h, k, n, m, i, j, alpha], distributed);

coeff(%,m);


</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">Zio2I0kkcGhpRzYiRiU2JEkpb3BlcmF0b3JHRiVJJmFycm93R0YlRiUsMi1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtRis2JDkkSSRyQTFHRiVGMSMhIiIiIiMtRis2JC1GKzYkRjBJJHJBMkdGJUY5RjItRis2JC1GKzYkRjBJJHJCMUdGJUY+RjItRis2JC1GKzYkRjBJJHJCMkdGJUZDRjIqJkYuIiIiRjFGM0YzKiZGN0ZFRjlGM0YzKiZGPEZFRj5GM0YzKiZGQUZFRkNGM0YzRiVGJUYl</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">KjApSSRyQUJHNiJJImhHRiUiIiIpSSRyMTJHRiVJImtHRiVGJyksKkkkckExR0YlRidJJHJCMUdGJUYnSSRyQTJHRiVGJ0kkckIyR0YlRidJIm5HRiVGJyksJComLCpGLUYnRi5GJ0YvISIiRjBGNkYnRiRGNiNGJyIiI0kibUdGJUYnKSomLCZGLUYnRi5GNkYnRiRGNkkiaUdGJUYnKSomLCZGL0YnRjBGNkYnRiRGNkkiakdGJUYnLUkkZXhwRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlNiMsKComSSZhbHBoYUdGJUYnRixGJ0Y2KiZJJWJldGFHRiVGJ0YkRidGNiomSSZkZWx0YUdGJUYnRilGJ0Y2Ric=</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">KjApSSRyQUJHNiJJImhHRiUiIiIpSSRyMTJHRiVJImtHRiVGJylJInNHRiVJIm5HRiVGJylJInRHRiVJIm1HRiVGJylJJG11MUdGJUkiaUdGJUYnKUkkbXUyR0YlSSJqR0YlRictSSRleHBHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiU2IywoKiZJJmFscGhhR0YlRidGLEYnISIiKiZJJWJldGFHRiVGJ0YkRidGQComSSZkZWx0YUdGJUYnRilGJ0ZARic=</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LFYqKEkibUc2IiIiIkkidEdGJSEiI0kkckFCR0YlRigjRiYiIiMqKEYkRitGJ0YoRilGKCMhIiJGKyomSSRyQTJHRiVGLkkmYWxwaGFHRiVGJkYmKiZJJHJCMUdGJUYuRjFGJkYmKiZJJHJCMkdGJUYuRjFGJkYmKiZJJHJBMUdGJUYuRjFGJkYmKihJIm5HRiVGJkkic0dGJUYuRjFGJiIiJSomRjlGJkY6RihGKyoqRjdGLkYkRiZGJ0YuRilGLkYtKipGN0YuSSJpR0YlRiZJJG11MUdGJUYuRilGLkYuKihGN0YuRjlGJkY6Ri5GLiooRjBGLkY5RiZGOkYuRi4qKEYzRi5GOUYmRjpGLkYuKiZGOUYrRjpGKEYoKipGNUYuSSJqR0YlRiZJJG11MkdGJUYuRilGLkYmKihGNUYuRjlGJkY6Ri5GLioqRjBGLkYkRiZGJ0YuRilGLkYqKipGMEYuRkZGJkZHRi5GKUYuRi4qKkYzRi5GJEYmRidGLkYpRi5GLSoqRjNGLkY/RiZGQEYuRilGLkYmKipGNUYuRiRGJkYnRi5GKUYuRioqJEYxRitGKCooRj9GK0ZARihGKUYoRi4qKEY/RiZGQEYoRilGKEYmKihGRkYrRkdGKEYpRihGLiooRkZGJkZHRihGKUYoRiY=</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">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</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">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</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LCYqJiwqKiZJJHJBMkc2IiEiIkkidEdGJ0YoIyIiIiIiIyomSSRyQTFHRidGKEYpRigjRihGLComSSRyQjFHRidGKEYpRihGLyomSSRyQjJHRidGKEYpRihGKkYrSSRyQUJHRidGKEYrKiZGKSEiI0Y0RjZGKg==</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" hide-output="false" labelreference="L4560" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># M-independent terms

phi -&gt;
-(diff(diff(phi, r12), r12))
-cos21A*(diff(diff(phi, r12), rA1))-cos12A*(diff(diff(phi, r12), rA2))-cos21B*(diff(diff(phi, r12), rB1))-cos12B*(diff(diff(phi, r12), rB2))-cosA1B*(diff(diff(phi, rA1), rB1))-cosA2B*(diff(diff(phi, rA2), rB2))-2*(diff(phi, r12))/r12;

map(zz-&gt;simplify(zz/subs(stmuSubs, bans)), expand(subs(stmuSubs, %(bans)))):
collect(%, [rAB, mu1, mu2, rA1, rA2, rB1, rB2, s, t, r12], factor):
collect(collect(%, [h, k, n, m, i, j, alpha, beta, delta], distributed, factor),
 [h, k, n, m, i, j], distributed):

subs({-cos12A-cos12B-cos21A-cos21B = -c1, -(-cos12A-cos12B-cos21A-cos21B) = c1,
cosA1B+cosA2B = c2, -cosA1B-cosA2B = -c2,
cos12A-cos21B+cos12B-cos21A = c3, -(cos12A-cos21B+cos12B-cos21A)=-c3,
cos21A-cos21B = c4, -(cos21A-cos21B)=-c4,
cos12A-cos12B = c5, -(cos12A-cos12B)=-c5,
-cosA2B+cosA1B = -c6, -(-cosA2B+cosA1B)=c6
}, %);
#%-coeff(%,n^2)*n^2 - coeff(%,n)*n:
#% - coeff(%,m^2)*m^2 - coeff(%,m)*m - (-delta^2-c2*alpha^2+2*#delta/r12-c1*alpha*delta) - coeff(%,i^2)*(i^2-i):
#%  - coeff(%,i)*i - coeff(%,j^2)*(j^2-j):
#%  - coeff(%,j)*j - coeff(%,k^2)*(k^2+k):

collect(%, [h, k, n, m, i, j], distributed);

coeff(%, m);
</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEnJiM5NjY7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RKCYjODU5NDtGJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGSS1GIzYzLUY2Ni1RKiZ1bWludXMwO0YnRjJGOUY7Rj1GP0ZBRkNGRS9GSFEsMC4yMjIyMjIyZW1GJy9GS0ZSLUkobWZlbmNlZEdGJDYkLUYjNigtSSZtZnJhY0dGJDYoLUYjNiYtRjY2LVErJlBhcnRpYWxEO0YnRjJGOUY7Rj1GP0ZBRkNGRUZHRkovJStmb3JlZ3JvdW5kR1EoWzAsMCwwXUYnLyUpcmVhZG9ubHlHRjFGMi1GIzYmLUYjNidGaG4tRiw2JVEkcjEyRicvRjBRJXRydWVGJy9GM1EnaXRhbGljRidGW29GXm9GMkZbb0Zeb0YyLyUubGluZXRoaWNrbmVzc0dRIjFGJy8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0ZgcC8lKWJldmVsbGVkR0YxLUY2Ni1RMSZJbnZpc2libGVUaW1lcztGJ0YyRjlGO0Y9Rj9GQUZDRkVGR0ZKLUZVNiQtRiM2KEZZRmVwRitGW29GXm9GMkYyRltvRl5vRjJGMi1GNjYtUSgmbWludXM7RidGMkY5RjtGPUY/RkFGQ0ZFRlFGUy1GIzYmLUYsNiVRJ2NvczIxQUYnRmdvRmlvRmVwLUZVNiQtRiM2KC1GWjYoRmZuLUYjNiYtRiM2J0Zobi1GLDYlUSRyQTFGJ0Znb0Zpb0Zbb0Zeb0YyRltvRl5vRjJGW3BGXnBGYXBGY3BGZXBGaHBGW29GXm9GMkYyRjJGXHEtRiM2Ji1GLDYlUSdjb3MxMkFGJ0Znb0Zpb0ZlcC1GVTYkLUYjNigtRlo2KEZmbi1GIzYmLUYjNidGaG4tRiw2JVEkckEyRidGZ29GaW9GW29GXm9GMkZbb0Zeb0YyRltwRl5wRmFwRmNwRmVwRmhwRltvRl5vRjJGMkYyRlxxLUYjNiYtRiw2JVEnY29zMjFCRidGZ29GaW9GZXAtRlU2JC1GIzYoLUZaNihGZm4tRiM2Ji1GIzYnRmhuLUYsNiVRJHJCMUYnRmdvRmlvRltvRl5vRjJGW29GXm9GMkZbcEZecEZhcEZjcEZlcEZocEZbb0Zeb0YyRjJGMkZccS1GIzYmLUYsNiVRJ2NvczEyQkYnRmdvRmlvRmVwLUZVNiQtRiM2KC1GWjYoRmZuLUYjNiYtRiM2J0Zobi1GLDYlUSRyQjJGJ0Znb0Zpb0Zbb0Zeb0YyRltvRl5vRjJGW3BGXnBGYXBGY3BGZXBGaHBGW29GXm9GMkYyRjJGXHEtRiM2Ji1GLDYlUSdjb3NBMUJGJ0Znb0Zpb0ZlcC1GVTYkLUYjNihGXHRGZXAtRlU2JC1GIzYoRmhxRmVwRitGW29GXm9GMkYyRltvRl5vRjJGMkYyRlxxLUYjNiYtRiw2JVEnY29zQTJCRidGZ29GaW9GZXAtRlU2JC1GIzYoRl51RmVwLUZVNiQtRiM2KEZqckZlcEYrRltvRl5vRjJGMkZbb0Zeb0YyRjJGMkZccS1GWjYoLUYjNigtSSNtbkdGJDYkUSIyRidGMkZlcEZocEZbb0Zeb0YyLUYjNiZGZG9GW29GXm9GMkZbcEZecEZhcEZjcEYyRltvRl5vRjI=">Zio2I0kkcGhpRzYiRiU2JEkpb3BlcmF0b3JHRiVJJmFycm93R0YlRiUsMi1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtRis2JDkkSSRyMTJHRiVGMSEiIiomSSdjb3MyMUFHRiUiIiItRis2JEYuSSRyQTFHRiVGNUYyKiZJJ2NvczEyQUdGJUY1LUYrNiRGLkkkckEyR0YlRjVGMiomSSdjb3MyMUJHRiVGNS1GKzYkRi5JJHJCMUdGJUY1RjIqJkknY29zMTJCR0YlRjUtRis2JEYuSSRyQjJHRiVGNUYyKiZJJ2Nvc0ExQkdGJUY1LUYrNiQtRis2JEYwRjhGQkY1RjIqJkknY29zQTJCR0YlRjUtRis2JC1GKzYkRjBGPUZHRjVGMiomRi5GNUYxRjIhIiNGJUYlRiU=</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">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</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">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</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" hide-output="false" labelreference="L4561" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># 1/M terms

phi -&gt; -cos1A2*(diff(diff(phi, rA1), rA2))-cos1AB*(diff(diff(phi, rA1), rAB))-cos2AB*(diff(diff(phi, rA2), rAB))-(diff(diff(phi, rAB), rAB))-cos1BA*(diff(diff(phi, rAB), rB1))-cos2BA*(diff(diff(phi, rAB), rB2))-cos1B2*(diff(diff(phi, rB1), rB2))-2*(diff(phi, rAB))/rAB;


map(zz-&gt;simplify(zz/subs(stmuSubs, bans)), expand(subs(stmuSubs, %(bans)))):
collect(%, [rAB, mu1, mu2, rA1, rA2, rB1, rB2, s, t, r12], factor):
collect(collect(%, [h, k, n, m, i, j, alpha, beta, delta], distributed, factor),
 [h, k, n, m, i, j, mu1, mu2, t], distributed):

subs({
cos1A2+cos1B2 = c7, -(cos1A2+cos1B2) = -c7,
-cos1AB-cos1BA-cos2AB-cos2BA = -c8, -(-cos1AB-cos1BA-cos2AB-cos2BA) = c8,
2*cos1AB+2*cos1BA-2*cos2AB-2*cos2BA = 2*c9, (2*cos1AB+2*cos1BA-2*cos2AB-2*cos2BA)/2=c9, -(2*cos1AB+2*cos1BA-2*cos2AB-2*cos2BA)/2=-c9,
cos1A2-cos1B2 = c10, -(cos1A2-cos1B2) = -c10,
cos1AB-cos1BA = c11, -(cos1AB-cos1BA)=-c11, 2*(cos1AB-cos1BA) = 2*c11,
cos2AB-cos2BA=c12, -(cos2AB-cos2BA)=-c12, 2*(cos2AB-cos2BA)=2*c12, -2*(cos2AB-cos2BA)=-2*c12
}, %):
collect(%, [h, k, n, m, i, j, mu1, mu2, t], distributed):
%-coeff(%, n^2)*(n^2-n):
collect(%, [h, k, n, m, i, j, mu1, mu2, t], distributed):
coeff(%, m);
#coeff(%, j);
#expand(coeff(%, j)*rAB^2);
eval(%, [h=0, i=0, j=0, m=0, n=0]);</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">Zio2I0kkcGhpRzYiRiU2JEkpb3BlcmF0b3JHRiVJJmFycm93R0YlRiUsMiomSSdjb3MxQTJHRiUiIiItSSVkaWZmRyUqcHJvdGVjdGVkRzYkLUYuNiQ5JEkkckExR0YlSSRyQTJHRiVGLCEiIiomSSdjb3MxQUJHRiVGLC1GLjYkRjFJJHJBQkdGJUYsRjYqJkknY29zMkFCR0YlRiwtRi42JC1GLjYkRjNGNUY7RixGNi1GLjYkLUYuNiRGM0Y7RjtGNiomSSdjb3MxQkFHRiVGLC1GLjYkRkRJJHJCMUdGJUYsRjYqJkknY29zMkJBR0YlRiwtRi42JEZESSRyQjJHRiVGLEY2KiZJJ2NvczFCMkdGJUYsLUYuNiQtRi42JEYzRkpGT0YsRjYqJkZERixGO0Y2ISIjRiVGJUYl</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">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</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LCwqKkkjYzlHNiIiIiJJJHJBQkdGJSEiIkklYmV0YUdGJUYmSSJ0R0YlRigjRiYiIiMqKEkjYzdHRiVGJkYnISIjRipGLyNGKCIiJSokRidGL0YmKihJI2M4R0YlRiZGJ0YoSSZhbHBoYUdGJUYmRigqJkYnRihGKUYmRi8=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L4574" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">hknfull:=collect(map(zz-&gt;simplify(zz/bans), TAB12M(bans)), [h, k, n, m, i, j], distributed):</Text-field>
</Input>
</Group>
<Group hide-input="false" hide-output="false" labelreference="L4567" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># TEST

[-0.1782543628397512, 0.3711503746435158, -0.40247894534622675, -0.3021801666133601, 0.00019820536347655142, 9.633871494489372e-05, -0.05219566837340104, -276.03928155941463, 277.41442233882844, -0.7436844417324684, 0.005544037819273441, -2.060384824625082, -0.002777205087384884, 0.7910867480699012, -0.40117011578510947, -0.04395198965208327, -501000.99298893334, 1.0260130872032776, 246.55953909680048, 0.00023140962519201054, -5.296688645843031e-05, -0.45572858971412106, 1.3439485106173261, 0.7483485753057917]:

%[1]*(n^2-n) + %[2]*n + %[3]*k*n + %[4]*n*m + %[5]*n*(m-h) + %[6]*n*i + %[7]*n*j + %[8]*m^2 + %[9]*m + %[10]*m*k + %[11]*m*i + %[12]*m*j + %[13]*m*(i+j-h) + %[14]*i + %[15]*i*j+%[16]*i*k + %[17]*(j^2-j) + %[18]*j+ %[19]*j*k + %[20]*j*h + %[21]*h + %[22]*(k^2+k) + %[23]*k + %[24]
-1.3641953090699033*(i^2-i) + 0.00016664679223342218 *i*h  -0.0008509639447257392*h^2:

(eval(hknfull, [r12=1.481313097306628, rAB=0.8, rA1=1.3309999999999995, rA2=1.0851438204731716, rB1=0.9516860820591669, rB2=1.084406340405252, alpha=0.75, beta=0.1, delta=0, M=1836.153])):
expand(simplify(%%-%));
</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">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</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" hide-output="false" labelreference="L4568" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
</Input>
</Group>
</Worksheet>