1use std::f64;
2
3pub const WEIGHTS_LEGENDRE: &[&[(f64, f64)]] = &[
4 &[(0.0, 2.0)],
5 &[(0.5773502691896257, 1.0)],
6 &[
7 (0.0, 0.8888888888888888),
8 (0.7745966692414834, 0.5555555555555557),
9 ],
10 &[
11 (0.33998104358485626, 0.6521451548625461),
12 (0.8611363115940526, 0.34785484513745396),
13 ],
14 &[
15 (0.0, 0.5688888888888889),
16 (0.5384693101056831, 0.47862867049936625),
17 (0.906179845938664, 0.23692688505618917),
18 ],
19 &[
20 (0.2386191860831969, 0.4679139345726909),
21 (0.6612093864662646, 0.3607615730481386),
22 (0.9324695142031522, 0.17132449237916977),
23 ],
24 &[
25 (0.0, 0.4179591836734694),
26 (0.4058451513773972, 0.3818300505051189),
27 (0.7415311855993946, 0.2797053914892765),
28 (0.9491079123427583, 0.1294849661688702),
29 ],
30 &[
31 (0.1834346424956498, 0.36268378337836193),
32 (0.525532409916329, 0.3137066458778865),
33 (0.7966664774136271, 0.22238103445337515),
34 (0.9602898564975364, 0.10122853629037544),
35 ],
36 &[
37 (0.0, 0.3302393550012598),
38 (0.3242534234038089, 0.31234707704000275),
39 (0.6133714327005907, 0.26061069640293594),
40 (0.8360311073266365, 0.1806481606948585),
41 (0.9681602395076256, 0.08127438836157606),
42 ],
43 &[
44 (0.1488743389816312, 0.2955242247147528),
45 (0.43339539412924727, 0.26926671930999657),
46 (0.6794095682990248, 0.21908636251598035),
47 (0.8650633666889842, 0.14945134915058725),
48 (0.9739065285171731, 0.06667134430868374),
49 ],
50 &[
51 (0.0, 0.2729250867779006),
52 (0.26954315595234496, 0.26280454451024654),
53 (0.519096129206812, 0.23319376459199173),
54 (0.7301520055740497, 0.18629021092774148),
55 (0.8870625997680974, 0.1255803694649023),
56 (0.9782286581460569, 0.05566856711617304),
57 ],
58 &[
59 (0.1252334085114689, 0.24914704581340288),
60 (0.3678314989981803, 0.2334925365383545),
61 (0.5873179542866176, 0.20316742672306173),
62 (0.7699026741943074, 0.16007832854332715),
63 (0.9041172563704689, 0.10693932599532781),
64 (0.9815606342467176, 0.04717533638652029),
65 ],
66];
67
68pub const WEIGHTS_CHEBYSHEV: &[&[(f64, f64)]] = &[
69 &[(0.0, f64::consts::PI)],
70 &[(f64::consts::FRAC_1_SQRT_2, f64::consts::FRAC_PI_2)],
71 &[
72 (0.8660254037844387, 1.0471975511965976),
73 (0.0, 1.0471975511965976),
74 ],
75 &[
76 (0.9238795325112867, f64::consts::FRAC_PI_4),
77 (0.38268343236508984, f64::consts::FRAC_PI_4),
78 ],
79 &[
80 (0.9510565162951535, 0.6283185307179586),
81 (0.5877852522924731, 0.6283185307179586),
82 (0.0, 0.6283185307179586),
83 ],
84 &[
85 (0.9659258262890683, 0.5235987755982988),
86 (f64::consts::FRAC_1_SQRT_2, 0.5235987755982988),
87 (0.25881904510252096, 0.5235987755982988),
88 ],
89 &[
90 (0.9749279121818236, 0.4487989505128276),
91 (0.7818314824680298, 0.4487989505128276),
92 (0.4338837391175582, 0.4487989505128276),
93 (0.0, 0.4487989505128276),
94 ],
95 &[
96 (0.9807852804032304, f64::consts::FRAC_PI_8),
97 (0.8314696123025452, f64::consts::FRAC_PI_8),
98 (0.5555702330196023, f64::consts::FRAC_PI_8),
99 (0.19509032201612833, f64::consts::FRAC_PI_8),
100 ],
101 &[
102 (0.984807753012208, 0.3490658503988659),
103 (0.8660254037844387, 0.3490658503988659),
104 (0.6427876096865394, 0.3490658503988659),
105 (0.3420201433256688, 0.3490658503988659),
106 (0.0, 0.3490658503988659),
107 ],
108 &[
109 (0.9876883405951378, 0.3141592653589793),
110 (0.8910065241883679, 0.3141592653589793),
111 (f64::consts::FRAC_1_SQRT_2, 0.3141592653589793),
112 (0.4539904997395468, 0.3141592653589793),
113 (0.15643446504023092, 0.3141592653589793),
114 ],
115 &[
116 (0.9898214418809327, 0.28559933214452665),
117 (0.9096319953545184, 0.28559933214452665),
118 (0.7557495743542583, 0.28559933214452665),
119 (0.5406408174555977, 0.28559933214452665),
120 (0.2817325568414298, 0.28559933214452665),
121 (0.0, 0.28559933214452665),
122 ],
123 &[
124 (0.9914448613738104, 0.2617993877991494),
125 (0.9238795325112867, 0.2617993877991494),
126 (0.7933533402912353, 0.2617993877991494),
127 (0.6087614290087207, 0.2617993877991494),
128 (0.38268343236508984, 0.2617993877991494),
129 (0.1305261922200517, 0.2617993877991494),
130 ],
131 &[
132 (0.992708874098054, 0.241660973353061),
133 (0.9350162426854148, 0.241660973353061),
134 (0.8229838658936564, 0.241660973353061),
135 (0.6631226582407952, 0.241660973353061),
136 (0.4647231720437686, 0.241660973353061),
137 (0.23931566428755763, 0.241660973353061),
138 (0.0, 0.241660973353061),
139 ],
140 &[
141 (0.9937122098932426, 0.2243994752564138),
142 (0.9438833303083676, 0.2243994752564138),
143 (0.8467241992282841, 0.2243994752564138),
144 (f64::consts::FRAC_1_SQRT_2, 0.2243994752564138),
145 (0.5320320765153366, 0.2243994752564138),
146 (0.33027906195516715, 0.2243994752564138),
147 (0.11196447610330791, 0.2243994752564138),
148 ],
149 &[
150 (0.9945218953682733, 0.20943951023931953),
151 (0.9510565162951535, 0.20943951023931953),
152 (0.8660254037844387, 0.20943951023931953),
153 (0.7431448254773944, 0.20943951023931953),
154 (0.5877852522924731, 0.20943951023931953),
155 (0.4067366430758004, 0.20943951023931953),
156 (0.20791169081775945, 0.20943951023931953),
157 (0.0, 0.20943951023931953),
158 ],
159 &[
160 (0.9951847266721969, 0.19634954084936207),
161 (0.9569403357322088, 0.19634954084936207),
162 (0.881921264348355, 0.19634954084936207),
163 (0.773010453362737, 0.19634954084936207),
164 (0.6343932841636455, 0.19634954084936207),
165 (0.4713967368259978, 0.19634954084936207),
166 (0.29028467725446233, 0.19634954084936207),
167 (0.09801714032956077, 0.19634954084936207),
168 ],
169 &[
170 (0.9957341762950345, 0.18479956785822313),
171 (0.961825643172819, 0.18479956785822313),
172 (0.8951632913550623, 0.18479956785822313),
173 (0.7980172272802395, 0.18479956785822313),
174 (0.6736956436465572, 0.18479956785822313),
175 (0.5264321628773558, 0.18479956785822313),
176 (0.36124166618715303, 0.18479956785822313),
177 (0.1837495178165703, 0.18479956785822313),
178 (0.0, 0.18479956785822313),
179 ],
180 &[
181 (0.9961946980917455, 0.17453292519943295),
182 (0.9659258262890683, 0.17453292519943295),
183 (0.9063077870366499, 0.17453292519943295),
184 (0.8191520442889918, 0.17453292519943295),
185 (f64::consts::FRAC_1_SQRT_2, 0.17453292519943295),
186 (0.5735764363510462, 0.17453292519943295),
187 (0.42261826174069944, 0.17453292519943295),
188 (0.25881904510252074, 0.17453292519943295),
189 (0.08715574274765836, 0.17453292519943295),
190 ],
191 &[
192 (0.9965844930066698, 0.16534698176788384),
193 (0.9694002659393304, 0.16534698176788384),
194 (0.9157733266550574, 0.16534698176788384),
195 (0.8371664782625287, 0.16534698176788384),
196 (0.7357239106731317, 0.16534698176788384),
197 (0.6142127126896678, 0.16534698176788384),
198 (0.4759473930370736, 0.16534698176788384),
199 (0.32469946920468357, 0.16534698176788384),
200 (0.16459459028073398, 0.16534698176788384),
201 (0.0, 0.16534698176788384),
202 ],
203 &[
204 (0.996917333733128, 0.15707963267948966),
205 (0.9723699203976766, 0.15707963267948966),
206 (0.9238795325112867, 0.15707963267948966),
207 (0.8526401643540922, 0.15707963267948966),
208 (0.7604059656000309, 0.15707963267948966),
209 (0.6494480483301837, 0.15707963267948966),
210 (0.5224985647159489, 0.15707963267948966),
211 (0.38268343236508984, 0.15707963267948966),
212 (0.23344536385590547, 0.15707963267948966),
213 (0.078459095727845, 0.15707963267948966),
214 ],
215 &[
216 (0.9972037971811801, 0.14959965017094254),
217 (0.9749279121818236, 0.14959965017094254),
218 (0.9308737486442042, 0.14959965017094254),
219 (0.8660254037844387, 0.14959965017094254),
220 (0.7818314824680299, 0.14959965017094254),
221 (0.6801727377709195, 0.14959965017094254),
222 (0.5633200580636222, 0.14959965017094254),
223 (0.43388373911755834, 0.14959965017094254),
224 (0.2947551744109043, 0.14959965017094254),
225 (0.14904226617617464, 0.14959965017094254),
226 (0.0, 0.14959965017094254),
227 ],
228 &[
229 (0.9974521146102535, 0.14279966607226333),
230 (0.9771468659711595, 0.14279966607226333),
231 (0.9369497249997617, 0.14279966607226333),
232 (0.8776789895672557, 0.14279966607226333),
233 (0.8005412409243604, 0.14279966607226333),
234 (f64::consts::FRAC_1_SQRT_2, 0.14279966607226333),
235 (0.599277666511347, 0.14279966607226333),
236 (0.47924898672005684, 0.14279966607226333),
237 (0.3494641795990984, 0.14279966607226333),
238 (0.2125652895529766, 0.14279966607226333),
239 (0.07133918319923235, 0.14279966607226333),
240 ],
241 &[
242 (0.9976687691905392, 0.13659098493868665),
243 (0.9790840876823229, 0.13659098493868665),
244 (0.9422609221188205, 0.13659098493868665),
245 (0.8878852184023752, 0.13659098493868665),
246 (0.8169698930104421, 0.13659098493868665),
247 (0.7308359642781241, 0.13659098493868665),
248 (0.6310879443260529, 0.13659098493868665),
249 (0.5195839500354336, 0.13659098493868665),
250 (0.39840108984624156, 0.13659098493868665),
251 (0.26979677115702444, 0.13659098493868665),
252 (0.1361666490962466, 0.13659098493868665),
253 (0.0, 0.13659098493868665),
254 ],
255 &[
256 (0.9978589232386035, 0.1308996938995747),
257 (0.9807852804032304, 0.1308996938995747),
258 (0.9469301294951057, 0.1308996938995747),
259 (0.8968727415326884, 0.1308996938995747),
260 (0.8314696123025452, 0.1308996938995747),
261 (0.7518398074789774, 0.1308996938995747),
262 (0.659345815100069, 0.1308996938995747),
263 (0.5555702330196024, 0.1308996938995747),
264 (0.44228869021900147, 0.1308996938995747),
265 (0.3214394653031617, 0.1308996938995747),
266 (0.19509032201612833, 0.1308996938995747),
267 (0.06540312923014327, 0.1308996938995747),
268 ],
269 &[
270 (0.9980267284282716, 0.12566370614359174),
271 (0.9822872507286887, 0.12566370614359174),
272 (0.9510565162951535, 0.12566370614359174),
273 (0.9048270524660195, 0.12566370614359174),
274 (0.8443279255020151, 0.12566370614359174),
275 (0.7705132427757891, 0.12566370614359174),
276 (0.6845471059286886, 0.12566370614359174),
277 (0.587785252292473, 0.12566370614359174),
278 (0.48175367410171516, 0.12566370614359174),
279 (0.36812455268467786, 0.12566370614359174),
280 (0.24868988716485474, 0.12566370614359174),
281 (0.12533323356430426, 0.12566370614359174),
282 (0.0, 0.12566370614359174),
283 ],
284 &[
285 (0.9981755542233175, 0.1208304866765305),
286 (0.9836199069471436, 0.1208304866765305),
287 (0.9547208665085456, 0.1208304866765305),
288 (0.9118998459920901, 0.1208304866765305),
289 (0.8557812723014475, 0.1208304866765305),
290 (0.7871834806090501, 0.1208304866765305),
291 (f64::consts::FRAC_1_SQRT_2, 0.1208304866765305),
292 (0.616718872628543, 0.1208304866765305),
293 (0.5173378141776568, 0.1208304866765305),
294 (0.4104128054527567, 0.1208304866765305),
295 (0.297503053855203, 0.1208304866765305),
296 (0.18025503781390564, 0.1208304866765305),
297 (0.060378497422286063, 0.1208304866765305),
298 ],
299 &[
300 (0.9983081582712682, 0.11635528346628864),
301 (0.984807753012208, 0.11635528346628864),
302 (0.9579895123154889, 0.11635528346628864),
303 (0.918216106880274, 0.11635528346628864),
304 (0.8660254037844387, 0.11635528346628864),
305 (0.8021231927550438, 0.11635528346628864),
306 (0.7273736415730488, 0.11635528346628864),
307 (0.6427876096865395, 0.11635528346628864),
308 (0.5495089780708061, 0.11635528346628864),
309 (0.4487991802004623, 0.11635528346628864),
310 (0.3420201433256688, 0.11635528346628864),
311 (0.23061587074244025, 0.11635528346628864),
312 (0.11609291412523053, 0.11635528346628864),
313 (0.0, 0.11635528346628864),
314 ],
315 &[
316 (0.9984268150178166, 0.1121997376282069),
317 (0.9858710185182359, 0.1121997376282069),
318 (0.9609173219450996, 0.1121997376282069),
319 (0.9238795325112867, 0.1121997376282069),
320 (0.8752234219087537, 0.1121997376282069),
321 (0.8155608689592602, 0.1121997376282069),
322 (0.7456421648831656, 0.1121997376282069),
323 (0.6663465779520039, 0.1121997376282069),
324 (0.5786712961798057, 0.1121997376282069),
325 (0.4837188871052398, 0.1121997376282069),
326 (0.38268343236508984, 0.1121997376282069),
327 (0.2768355114248494, 0.1121997376282069),
328 (0.16750622330473647, 0.1121997376282069),
329 (0.056070447237191845, 0.1121997376282069),
330 ],
331 &[
332 (0.9985334138511238, 0.10833078115826873),
333 (0.9868265225415261, 0.10833078115826873),
334 (0.9635499925192229, 0.10833078115826873),
335 (0.9289767198167914, 0.10833078115826873),
336 (0.8835120444460229, 0.10833078115826873),
337 (0.8276889981568906, 0.10833078115826873),
338 (0.7621620551276365, 0.10833078115826873),
339 (0.6876994588534233, 0.10833078115826873),
340 (0.6051742151937651, 0.10833078115826873),
341 (0.5155538571770217, 0.10833078115826873),
342 (0.4198891015602646, 0.10833078115826873),
343 (0.31930153013597995, 0.10833078115826873),
344 (0.214970440211024, 0.10833078115826873),
345 (0.10811901842394187, 0.10833078115826873),
346 (0.0, 0.10833078115826873),
347 ],
348 &[
349 (0.9986295347545738, 0.10471975511965977),
350 (0.9876883405951378, 0.10471975511965977),
351 (0.9659258262890683, 0.10471975511965977),
352 (0.9335804264972017, 0.10471975511965977),
353 (0.8910065241883679, 0.10471975511965977),
354 (0.838670567945424, 0.10471975511965977),
355 (0.7771459614569709, 0.10471975511965977),
356 (f64::consts::FRAC_1_SQRT_2, 0.10471975511965977),
357 (0.6293203910498375, 0.10471975511965977),
358 (0.5446390350150272, 0.10471975511965977),
359 (0.4539904997395468, 0.10471975511965977),
360 (0.3583679495453004, 0.10471975511965977),
361 (0.25881904510252096, 0.10471975511965977),
362 (0.15643446504023092, 0.10471975511965977),
363 (0.052335956242943966, 0.10471975511965977),
364 ],
365 &[
366 (0.9987165071710528, 0.10134169850289655),
367 (0.9884683243281114, 0.10134169850289655),
368 (0.9680771188662043, 0.10134169850289655),
369 (0.9377521321470804, 0.10134169850289655),
370 (0.8978045395707417, 0.10134169850289655),
371 (0.8486442574947509, 0.10134169850289655),
372 (0.7907757369376985, 0.10134169850289655),
373 (0.72479278722912, 0.10134169850289655),
374 (0.6513724827222223, 0.10134169850289655),
375 (0.5712682150947923, 0.10134169850289655),
376 (0.485301962531081, 0.10134169850289655),
377 (0.39435585511331855, 0.10134169850289655),
378 (0.299363122973358, 0.10134169850289655),
379 (0.20129852008866012, 0.10134169850289655),
380 (0.10116832198743222, 0.10134169850289655),
381 (0.0, 0.10134169850289655),
382 ],
383 &[
384 (0.9987954562051724, 0.09817477042468103),
385 (0.989176509964781, 0.09817477042468103),
386 (0.970031253194544, 0.09817477042468103),
387 (0.9415440651830208, 0.09817477042468103),
388 (0.9039892931234433, 0.09817477042468103),
389 (0.8577286100002721, 0.09817477042468103),
390 (0.8032075314806449, 0.09817477042468103),
391 (0.7409511253549591, 0.09817477042468103),
392 (0.6715589548470183, 0.09817477042468103),
393 (0.5956993044924335, 0.09817477042468103),
394 (0.5141027441932217, 0.09817477042468103),
395 (0.4275550934302822, 0.09817477042468103),
396 (0.33688985339222005, 0.09817477042468103),
397 (0.24298017990326398, 0.09817477042468103),
398 (0.14673047445536175, 0.09817477042468103),
399 (0.049067674327418126, 0.09817477042468103),
400 ],
401 &[
402 (0.998867339183008, 0.09519977738150888),
403 (0.9898214418809327, 0.09519977738150888),
404 (0.9718115683235417, 0.09519977738150888),
405 (0.9450008187146685, 0.09519977738150888),
406 (0.9096319953545184, 0.09519977738150888),
407 (0.8660254037844387, 0.09519977738150888),
408 (0.8145759520503357, 0.09519977738150888),
409 (0.7557495743542584, 0.09519977738150888),
410 (0.690079011482112, 0.09519977738150888),
411 (0.6181589862206053, 0.09519977738150888),
412 (0.5406408174555977, 0.09519977738150888),
413 (0.45822652172741046, 0.09519977738150888),
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1984 (0.33410417149738975, 0.03785051389867221),
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1995 &[
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1997 (0.9984268150178166, 0.037399912542735635),
1998 (0.9956320789411338, 0.037399912542735635),
1999 (0.9914448613738104, 0.037399912542735635),
2000 (0.9858710185182359, 0.037399912542735635),
2001 (0.9789183458976485, 0.037399912542735635),
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2003 (0.9609173219450996, 0.037399912542735635),
2004 (0.949894146672846, 0.037399912542735635),
2005 (0.9375424585439992, 0.037399912542735635),
2006 (0.9238795325112867, 0.037399912542735635),
2007 (0.9089244774122108, 0.037399912542735635),
2008 (0.8926982092436115, 0.037399912542735635),
2009 (0.8752234219087538, 0.037399912542735635),
2010 (0.8565245554778514, 0.037399912542735635),
2011 (0.8366277620064198, 0.037399912542735635),
2012 (0.8155608689592603, 0.037399912542735635),
2013 (0.7933533402912353, 0.037399912542735635),
2014 (0.7700362352392629, 0.037399912542735635),
2015 (0.7456421648831657, 0.037399912542735635),
2016 (0.7202052465361266, 0.037399912542735635),
2017 (0.6937610560285417, 0.037399912542735635),
2018 (0.666346577952004, 0.037399912542735635),
2019 (0.6380001539330087, 0.037399912542735635),
2020 (0.6087614290087208, 0.037399912542735635),
2021 (0.5786712961798058, 0.037399912542735635),
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2080 (0.07385252747487403, 0.036959913571644624),
2081 (0.03695149938914507, 0.036959913571644624),
2082 (0.0, 0.036959913571644624),
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2104 (0.7568359028663363, 0.03653014713476504),
2105 (0.7324600039117861, 0.03653014713476504),
2106 (f64::consts::FRAC_1_SQRT_2, 0.03653014713476504),
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2799 (0.4399391698559151, 0.031415926535897934),
2800 (0.41151435860510865, 0.031415926535897934),
2801 (0.38268343236508984, 0.031415926535897934),
2802 (0.35347484377925714, 0.031415926535897934),
2803 (0.3239174181981494, 0.031415926535897934),
2804 (0.2940403252323039, 0.031415926535897934),
2805 (0.26387304996537275, 0.031415926535897934),
2806 (0.23344536385590525, 0.031415926535897934),
2807 (0.2027872953565125, 0.031415926535897934),
2808 (0.17192910027940952, 0.031415926535897934),
2809 (0.14090123193758258, 0.031415926535897934),
2810 (0.10973431109104514, 0.031415926535897934),
2811 (0.07845909572784478, 0.031415926535897934),
2812 (0.04710645070964268, 0.031415926535897934),
2813 (0.015707317311820648, 0.031415926535897934),
2814 ],
2815];
2816pub const WEIGHTS_CHEBYSHEV_SECOND: &[&[(f64, f64)]] = &[
2817 &[(0.0, f64::consts::FRAC_PI_2)],
2818 &[(0.5000000000000001, 0.7853981633974481)],
2819 &[
2820 (f64::consts::FRAC_1_SQRT_2, 0.39269908169872403),
2821 (0.0, f64::consts::FRAC_PI_4),
2822 ],
2823 &[
2824 (0.8090169943749475, 0.217078713422706),
2825 (0.30901699437494745, 0.5683194499747423),
2826 ],
2827 &[
2828 (0.8660254037844387, 0.13089969389957468),
2829 (0.5000000000000001, 0.39269908169872403),
2830 (0.0, 0.5235987755982988),
2831 ],
2832 &[
2833 (0.9009688679024191, 0.08448869089158857),
2834 (0.6234898018587336, 0.2743330560697778),
2835 (0.22252093395631445, 0.42657641643608185),
2836 ],
2837 &[
2838 (0.9238795325112867, 0.05750944903191313),
2839 (f64::consts::FRAC_1_SQRT_2, 0.19634954084936201),
2840 (0.38268343236508984, 0.335189632666811),
2841 (0.0, f64::consts::FRAC_PI_8),
2842 ],
2843 &[
2844 (0.9396926207859084, 0.04083294770910708),
2845 (0.766044443118978, 0.14422560079567273),
2846 (0.5000000000000001, 0.2617993877991494),
2847 (0.17364817766693041, 0.338540227093519),
2848 ],
2849 &[
2850 (0.9510565162951535, 0.029999540371608163),
2851 (0.8090169943749475, 0.108539356711353),
2852 (0.5877852522924731, 0.20561990864762633),
2853 (0.30901699437494745, 0.28415972498737113),
2854 (0.0, 0.3141592653589793),
2855 ],
2856 &[
2857 (0.9594929736144974, 0.022668942501858837),
2858 (0.8412535328311812, 0.08347854093418902),
2859 (0.6548607339452851, 0.16312217745481658),
2860 (0.41541501300188644, 0.2363135602034873),
2861 (0.14231483827328512, 0.2798149423030965),
2862 ],
2863 &[
2864 (0.9659258262890683, 0.017537233634936096),
2865 (0.8660254037844387, 0.06544984694978734),
2866 (f64::consts::FRAC_1_SQRT_2, 0.13089969389957468),
2867 (0.5000000000000001, 0.19634954084936201),
2868 (0.25881904510252096, 0.24426215416421326),
2869 (0.0, 0.2617993877991494),
2870 ],
2871 &[
2872 (0.970941817426052, 0.013840404166186674),
2873 (0.8854560256532099, 0.052190946865224914),
2874 (0.7485107481711011, 0.10626598093890648),
2875 (0.5680647467311558, 0.16367756775575623),
2876 (0.35460488704253557, 0.21127340466065864),
2877 (0.120536680255323, 0.23814985901071542),
2878 ],
2879 &[
2880 (0.9749279121818236, 0.011111267038372872),
2881 (0.9009688679024191, 0.042244345445794286),
2882 (0.7818314824680298, 0.08723294722152485),
2883 (0.6234898018587336, 0.1371665280348889),
2884 (0.4338837391175582, 0.18215512981061951),
2885 (0.22252093395631445, 0.21328820821804093),
2886 (0.0, 0.2243994752564138),
2887 ],
2888 &[
2889 (0.9781476007338057, 0.009053498504649085),
2890 (0.9135454576426009, 0.03464856187869067),
2891 (0.8090169943749475, 0.072359571140902),
2892 (0.6691306063588582, 0.11566595019608279),
2893 (0.5000000000000001, 0.15707963267948963),
2894 (0.30901699437494745, 0.1894398166582474),
2895 (0.10452846326765368, 0.20715113233938662),
2896 ],
2897 &[
2898 (0.9807852804032304, 0.007473109420323819),
2899 (0.9238795325112867, 0.028754724515956565),
2900 (0.8314696123025452, 0.06060491230690939),
2901 (f64::consts::FRAC_1_SQRT_2, 0.09817477042468101),
2902 (0.5555702330196023, 0.13574462854245267),
2903 (0.38268343236508984, 0.1675948163334055),
2904 (0.19509032201612833, 0.18887643142903826),
2905 (0.0, 0.19634954084936207),
2906 ],
2907 &[
2908 (0.9829730996839018, 0.006239551412252137),
2909 (0.9324722294043558, 0.024115519656235967),
2910 (0.8502171357296142, 0.051213656166441954),
2911 (0.7390089172206591, 0.08387420745120885),
2912 (0.6026346363792564, 0.11768618508116663),
2913 (0.4457383557765383, 0.1480830941187536),
2914 (0.2736629900720828, 0.170959663563356),
2915 (0.09226835946330202, 0.1832262859480331),
2916 ],
2917 &[
2918 (0.984807753012208, 0.005262811652673444),
2919 (0.9396926207859084, 0.02041647385455354),
2920 (0.8660254037844387, 0.04363323129985823),
2921 (0.766044443118978, 0.07211280039783637),
2922 (0.6427876096865394, 0.10242012480159657),
2923 (0.5000000000000001, 0.1308996938995747),
2924 (0.3420201433256688, 0.15411645134487936),
2925 (0.17364817766693041, 0.1692701135467595),
2926 (0.0, 0.17453292519943295),
2927 ],
2928 &[
2929 (0.9863613034027223, 0.004479477774329408),
2930 (0.9458172417006346, 0.017432490174209888),
2931 (0.8794737512064891, 0.037455377319418635),
2932 (0.7891405093963936, 0.062378348700667025),
2933 (0.6772815716257411, 0.08950061364905067),
2934 (0.546948158122427, 0.11588305391211036),
2935 (0.40169542465296953, 0.1386667227216045),
2936 (0.24548548714079924, 0.1553826560369778),
2937 (0.0825793454723324, 0.16421942310907997),
2938 ],
2939 &[
2940 (0.9876883405951378, 0.003844012221205932),
2941 (0.9510565162951535, 0.014999770185804081),
2942 (0.8910065241883679, 0.032375270577483406),
2943 (0.8090169943749475, 0.0542696783556765),
2944 (f64::consts::FRAC_1_SQRT_2, 0.07853981633974481),
2945 (0.5877852522924731, 0.10280995432381317),
2946 (0.4539904997395468, 0.12470436210200622),
2947 (0.30901699437494745, 0.14207986249368557),
2948 (0.15643446504023092, 0.15323562045828373),
2949 (0.0, 0.15707963267948966),
2950 ],
2951 &[
2952 (0.9888308262251285, 0.003323146356234932),
2953 (0.9555728057861408, 0.012997309287800674),
2954 (0.9009688679024191, 0.028162896963862847),
2955 (0.8262387743159949, 0.047472380366318005),
2956 (0.7330518718298265, 0.0692100271565858),
2957 (0.6234898018587336, 0.09144435202325925),
2958 (0.5000000000000001, 0.11219973762820687),
2959 (0.3653410243663952, 0.12963197687691952),
2960 (0.22252093395631467, 0.14219213881202725),
2961 (0.0747300935864246, 0.14876419792623288),
2962 ],
2963 &[
2964 (0.9898214418809327, 0.002892194920715066),
2965 (0.9594929736144974, 0.011334471250929418),
2966 (0.9096319953545184, 0.024642885970519664),
2967 (0.8412535328311812, 0.04173927046709451),
2968 (0.7557495743542583, 0.06123857734485503),
2969 (0.6548607339452851, 0.08156108872740829),
2970 (0.5406408174555977, 0.1010603956051688),
2971 (0.41541501300188644, 0.11815678010174364),
2972 (0.2817325568414298, 0.1314651948213339),
2973 (0.14231483827328512, 0.13990747115154825),
2974 (0.0, 0.14279966607226333),
2975 ],
2976 &[
2977 (0.9906859460363308, 0.0025325821226811957),
2978 (0.9629172873477992, 0.00994249846047781),
2979 (0.917211301505453, 0.02168018941672712),
2980 (0.8544194045464886, 0.03687512414956727),
2981 (0.7757112907044199, 0.05440036386206456),
2982 (0.6825531432186541, 0.07295614169738002),
2983 (0.5766803221148672, 0.09116626050050351),
2984 (0.4600650377311522, 0.10768015906555772),
2985 (0.3348796121709863, 0.1212730770820316),
2986 (0.20345601305263397, 0.13093689000410558),
2987 (0.068242413364671, 0.1359548770363518),
2988 ],
2989 &[
2990 (0.9914448613738104, 0.0022301494543209475),
2991 (0.9659258262890683, 0.008768616817468048),
2992 (0.9238795325112867, 0.019169816343971042),
2993 (0.8660254037844387, 0.03272492347489367),
2994 (0.7933533402912353, 0.04851018006013724),
2995 (f64::consts::FRAC_1_SQRT_2, 0.06544984694978734),
2996 (0.6087614290087207, 0.08238951383943745),
2997 (0.5000000000000001, 0.09817477042468101),
2998 (0.38268343236508984, 0.11172987755560365),
2999 (0.25881904510252096, 0.12213107708210663),
3000 (0.1305261922200517, 0.12866954444525375),
3001 (0.0, 0.1308996938995747),
3002 ],
3003 &[
3004 (0.9921147013144779, 0.001973978203946135),
3005 (0.9685831611286311, 0.007771880505446599),
3006 (0.9297764858882513, 0.017029403379705037),
3007 (0.8763066800438636, 0.02916486261774427),
3008 (0.8090169943749475, 0.0434157426845412),
3009 (0.7289686274214116, 0.05888660837442833),
3010 (0.6374239897486896, 0.07460536829824607),
3011 (0.5358267949789965, 0.08958435496042584),
3012 (0.42577929156507266, 0.10288238354012347),
3013 (0.30901699437494745, 0.11366388999494846),
3014 (0.18738131458572452, 0.12125143262273717),
3015 (0.0627905195293133, 0.1251682582151558),
3016 ],
3017 &[
3018 (0.992708874098054, 0.0017555571711728062),
3019 (0.970941817426052, 0.006920202083093337),
3020 (0.9350162426854148, 0.015193784346201198),
3021 (0.8854560256532099, 0.026095473432612457),
3022 (0.8229838658936564, 0.038991702798652404),
3023 (0.7485107481711011, 0.05313299046945324),
3024 (0.6631226582407952, 0.06769749620707727),
3025 (0.5680647467311558, 0.08183878387787812),
3026 (0.4647231720437686, 0.09473501324391806),
3027 (0.35460488704253557, 0.10563670233032932),
3028 (0.23931566428755763, 0.11391028459343717),
3029 (0.120536680255323, 0.11907492950535771),
3030 (0.0, 0.12083048667653051),
3031 ],
3032 &[
3033 (0.993238357741943, 0.0015681858622775464),
3034 (0.9730448705798238, 0.006188202143365021),
3035 (0.9396926207859084, 0.013610982569702354),
3036 (0.8936326403234123, 0.023436363127190607),
3037 (0.8354878114129365, 0.035134655006770626),
3038 (0.7660444431189781, 0.04807520026522424),
3039 (0.6862416378687337, 0.06156037075813293),
3040 (0.5971585917027863, 0.07486317745371773),
3041 (0.5000000000000001, 0.08726646259971646),
3042 (0.3960797660391569, 0.09810156188343765),
3043 (0.2868032327110903, 0.10678435229793497),
3044 (0.17364817766693064, 0.11284674236450631),
3045 (0.05814482891047612, 0.11596190706547169),
3046 ],
3047 &[
3048 (0.9937122098932426, 0.0014065408374953766),
3049 (0.9749279121818236, 0.005555633519186436),
3050 (0.9438833303083676, 0.012239225212910957),
3051 (0.9009688679024191, 0.021122172722897143),
3052 (0.8467241992282841, 0.03175904796903575),
3053 (0.7818314824680298, 0.04361647361076242),
3054 (f64::consts::FRAC_1_SQRT_2, 0.056099868814103435),
3055 (0.6234898018587336, 0.06858326401744445),
3056 (0.5320320765153366, 0.08044068965917114),
3057 (0.4338837391175582, 0.09107756490530976),
3058 (0.33027906195516715, 0.09996051241529595),
3059 (0.22252093395631445, 0.10664410410902046),
3060 (0.11196447610330791, 0.11079319679071152),
3061 (0.0, 0.1121997376282069),
3062 ],
3063 &[
3064 (0.9941379571543596, 0.0012663567314862676),
3065 (0.9766205557100867, 0.00500621349263519),
3066 (0.9476531711828025, 0.011044698737847696),
3067 (0.907575419670957, 0.019099459608351965),
3068 (0.8568571761675893, 0.028793864438066936),
3069 (0.7960930657056438, 0.03967461363171225),
3070 (0.7259954919231308, 0.05123293545007718),
3071 (0.6473862847818277, 0.06292837561108704),
3072 (0.5611870653623824, 0.07421406833136114),
3073 (0.46840844069979015, 0.08456230716244602),
3074 (0.37013815533991434, 0.09348921995784154),
3075 (0.26752833852922075, 0.10057739419678599),
3076 (0.16178199655276462, 0.10549539472980614),
3077 (0.05413890858541761, 0.10801326131794299),
3078 ],
3079 &[
3080 (0.9945218953682733, 0.001144188949966453),
3081 (0.9781476007338057, 0.004526749252324542),
3082 (0.9510565162951535, 0.009999846790536053),
3083 (0.9135454576426009, 0.017324280939345335),
3084 (0.8660254037844387, 0.026179938779914935),
3085 (0.8090169943749475, 0.036179785570451),
3086 (0.7431448254773944, 0.046886780021618356),
3087 (0.6691306063588582, 0.057832975098041396),
3088 (0.5877852522924731, 0.06853996954920877),
3089 (0.5000000000000001, 0.07853981633974481),
3090 (0.4067366430758004, 0.08739547418031442),
3091 (0.30901699437494745, 0.0947199083291237),
3092 (0.20791169081775945, 0.10019300586733522),
3093 (0.10452846326765368, 0.10357556616969331),
3094 (0.0, 0.10471975511965977),
3095 ],
3096 &[
3097 (0.9948693233918952, 0.0010372352609631414),
3098 (0.9795299412524945, 0.004106476510398766),
3099 (0.9541392564000488, 0.009082068650934446),
3100 (0.9189578116202306, 0.015760310355729393),
3101 (0.8743466161445821, 0.023867793624729232),
3102 (0.8207634412072763, 0.033072597140312264),
3103 (0.7587581226927909, 0.042997875165032014),
3104 (0.6889669190756866, 0.05323728565038583),
3105 (0.6121059825476629, 0.06337162592802367),
3106 (0.5289640103269624, 0.07298599491624462),
3107 (0.4403941515576343, 0.08168677921903053),
3108 (0.3473052528448203, 0.08911776770472658),
3109 (0.25065253225872053, 0.0949747348316243),
3110 (0.1514277775045767, 0.0990178956773841),
3111 (0.05064916883871277, 0.10108172276192934),
3112 ],
3113 &[
3114 (0.9951847266721969, 0.0009432003425937352),
3115 (0.9807852804032304, 0.0037365547101619093),
3116 (0.9569403357322088, 0.008272716060890053),
3117 (0.9238795325112867, 0.014377362257978282),
3118 (0.881921264348355, 0.02181589517159752),
3119 (0.8314696123025452, 0.030302456153454695),
3120 (0.773010453362737, 0.03951091142433527),
3121 (f64::consts::FRAC_1_SQRT_2, 0.049087385212340504),
3122 (0.6343932841636455, 0.05866385900034577),
3123 (0.5555702330196023, 0.06787231427122634),
3124 (0.4713967368259978, 0.0763588752530835),
3125 (0.38268343236508984, 0.08379740816670275),
3126 (0.29028467725446233, 0.08990205436379099),
3127 (0.19509032201612833, 0.09443821571451913),
3128 (0.09801714032956077, 0.09723157008208728),
3129 (0.0, 0.09817477042468103),
3130 ],
3131 &[
3132 (0.9954719225730846, 0.000860191998792087),
3133 (0.9819286972627067, 0.0034096784151236093),
3134 (0.9594929736144974, 0.007556314167286278),
3135 (0.9283679330160726, 0.013150229035242869),
3136 (0.8888354486549235, 0.01998924436086239),
3137 (0.8412535328311812, 0.027826180311396338),
3138 (0.7860530947427875, 0.03637778960265494),
3139 (0.7237340381050702, 0.045334994793851446),
3140 (0.6548607339452851, 0.05437405915160553),
3141 (0.5800569095711983, 0.06316828733897545),
3142 (0.5000000000000001, 0.07139983303613165),
3143 (0.41541501300188644, 0.07877118673449576),
3144 (0.3270679633174218, 0.08501592850553417),
3145 (0.23575893550942728, 0.08990835711112558),
3146 (0.14231483827328534, 0.0932716474343655),
3147 (0.0475819158237424, 0.09498424140000458),
3148 ],
3149 &[
3150 (0.9957341762950345, 0.0007866409550949983),
3151 (0.9829730996839018, 0.0031197757061260686),
3152 (0.961825643172819, 0.006919952147433547),
3153 (0.9324722294043558, 0.012057759828117983),
3154 (0.8951632913550623, 0.018358236869734777),
3155 (0.8502171357296142, 0.025606828083220977),
3156 (0.7980172272802395, 0.03355669138852825),
3157 (0.7390089172206591, 0.04193710372560443),
3158 (0.6736956436465572, 0.050462680203507124),
3159 (0.6026346363792564, 0.058843092540583314),
3160 (0.5264321628773558, 0.06679295584589058),
3161 (0.4457383557765383, 0.0740415470593768),
3162 (0.36124166618715303, 0.08034202410099357),
3163 (0.2736629900720828, 0.085479831781678),
3164 (0.1837495178165703, 0.0892800082229855),
3165 (0.09226835946330202, 0.09161314297401656),
3166 (0.0, 0.09239978392911156),
3167 ],
3168 &[
3169 (0.9959742939952391, 0.0007212383771244389),
3170 (0.9839295885986297, 0.0028617723136200634),
3171 (0.9639628606958532, 0.006352803287530714),
3172 (0.9362348706397372, 0.011082126690925046),
3173 (0.9009688679024191, 0.016897738178317717),
3174 (0.8584487936018661, 0.023612719211402844),
3175 (0.8090169943749475, 0.03101124477467228),
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5205 (0.033414977007674644, 0.03338388164610378),
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5528 (0.8634217048966635, 0.007916283444791745),
5529 (0.8473147049577775, 0.008773373102442117),
5530 (0.8303879827647975, 0.009656689648632559),
5531 (0.8126579138282503, 0.010562815703245267),
5532 (0.7941416508447535, 0.011488245640605514),
5533 (0.7748571071028899, 0.012429399152066322),
5534 (0.754822939153257, 0.0133826350975271),
5535 (0.7340585287594601, 0.014344265592297322),
5536 (0.712583964147507, 0.01531057027480598),
5537 (0.6904200205717468, 0.01627781069995774),
5538 (0.6675881402161536, 0.01724224480245077),
5539 (0.6441104114503978, 0.01820014137410042),
5540 (0.6200095474607752, 0.019147794499158852),
5541 (0.5953088642766661, 0.020081537891783133),
5542 (0.5700322582137828, 0.020997759080182896),
5543 (0.5442041827560273, 0.021892913382571946),
5544 (0.5178496248983255, 0.02276353762085343),
5545 (0.4909940809733222, 0.02360626351898318),
5546 (0.46366353198532734, 0.02441783073417531),
5547 (0.4358844184753712, 0.025195099470535127),
5548 (0.407683614941689, 0.02593506262631947),
5549 (0.3790884038403794, 0.026634857427829173),
5550 (0.3501264491913908, 0.02729177650492436),
5551 (0.3208257698153678, 0.027903278365313564),
5552 (0.2912147122272521, 0.028466997227093706),
5553 (0.26132192321286074, 0.02898075217150062),
5554 (0.23117632211496977, 0.029442555580460127),
5555 (0.20080707285571867, 0.02985062082629622),
5556 (0.17024355572239863, 0.030203369183846446),
5557 (0.13951533894392312, 0.03049943593824287),
5558 (0.10865215008547471, 0.03073767566472879),
5559 (0.07768384728900624, 0.030917166660084594),
5560 (0.04664039038741761, 0.03103721450851846),
5561 (0.015551811920351015, 0.031097354768226164),
5562 ],
5563];
5564
5565pub const WEIGHTS_HERMITE: &[&[(f64, f64)]] = &[
5566 &[(0.0, 1.7724538509055159)],
5567 &[(f64::consts::FRAC_1_SQRT_2, 0.8862269254527577)],
5568 &[
5569 (0.0000000000000020867605332510614, 1.1816359006036774),
5570 (1.2247448713915892, 0.29540897515091924),
5571 ],
5572 &[
5573 (0.5246476232752904, 0.8049140900055128),
5574 (1.6506801238857847, 0.08131283544724513),
5575 ],
5576 &[
5577 (0.0, 0.9453087204829418),
5578 (0.9585724646138184, 0.39361932315224124),
5579 (2.0201828704560856, 0.01995324205904593),
5580 ],
5581 &[
5582 (0.4360774119276165, 0.7246295952243924),
5583 (1.335849074013697, 0.15706732032285667),
5584 (2.350604973674492, 0.004530009905508863),
5585 ],
5586 &[
5587 (0.8162878828589646, 0.42560725261012794),
5588 (1.6735516287674714, 0.05451558281912708),
5589 (2.6519613568352334, 0.0009717812450995206),
5590 ],
5591 &[
5592 (0.3811869902073221, 0.6611470125582413),
5593 (1.1571937124467804, 0.20780232581489166),
5594 (1.9816567566958425, 0.017077983007413533),
5595 (2.930637420257244, 0.00019960407221136727),
5596 ],
5597 &[
5598 (0.7235510187528376, 0.4326515590025556),
5599 (1.468553289216668, 0.08847452739437663),
5600 (3.1909932017815277, 0.00003960697726326427),
5601 (2.2665805845318427, 0.004943624275536939),
5602 ],
5603 &[
5604 (0.34290132722370464, 0.6108626337353256),
5605 (1.0366108297895136, 0.2401386110823146),
5606 (1.7566836492998819, 0.033874394455480836),
5607 (2.532731674232789, 0.0013436457467812467),
5608 (3.4361591188377383, 0.00000764043285523254),
5609 ],
5610 &[
5611 (0.0, 0.6547592869145917),
5612 (0.6568095668820997, 0.4293597523561252),
5613 (1.3265570844949333, 0.1172278751677079),
5614 (2.025948015825756, 0.011911395444911429),
5615 (3.6684708465595826, 0.000001439560393714253),
5616 (2.783290099781651, 0.0003468194663233478),
5617 ],
5618 &[
5619 (0.31424037625435913, 0.5701352362624794),
5620 (0.9477883912401637, 0.2604923102641614),
5621 (1.5976826351526041, 0.05160798561588446),
5622 (2.2795070805010624, 0.003905390584629015),
5623 (3.8897248978697827, 0.0000002658551684356262),
5624 (3.0206370251208883, 0.00008573687043587651),
5625 ],
5626 &[
5627 (0.6057638791710601, 0.42161629689854324),
5628 (1.2200550365907485, 0.14032332068702336),
5629 (1.8531076516015115, 0.020862775296170016),
5630 (2.519735685678236, 0.0012074599927194365),
5631 (4.101337596178638, 0.00000004825731850073284),
5632 (3.2466089783724073, 0.00002043036040270752),
5633 (0.0000000000000020561243904877227, 0.6043931879211616),
5634 ],
5635 &[
5636 (0.8787137873293992, 0.2731056090642469),
5637 (1.4766827311411403, 0.06850553422346557),
5638 (2.0951832585077144, 0.007850054726458165),
5639 (2.7484707249854052, 0.0003550926135518842),
5640 (4.304448570473632, 0.000000008628591168125228),
5641 (3.462656933602273, 0.000004716484355018683),
5642 (0.2917455106725621, 0.5364059097120901),
5643 ],
5644 &[
5645 (0.5650695832555758, 0.4120286874988989),
5646 (1.1361155852109206, 0.15848891579593533),
5647 (1.7199925751864868, 0.030780033872546457),
5648 (2.3257324861738566, 0.00277806884291274),
5649 (3.6699503734044576, 0.0000010591155477110144),
5650 (2.9671669279056, 0.00010000444123249368),
5651 (4.4999907073093866, 0.0000000015224758042536394),
5652 ],
5653 &[
5654 (4.688738939305813, 0.0000000002654807474011472),
5655 (0.27348104613815244, 0.5079294790166136),
5656 (1.3802585391988793, 0.08381004139898629),
5657 (1.9517879909162572, 0.012880311535510162),
5658 (2.5462021578474934, 0.000932284008624053),
5659 (3.8694479048601167, 0.00000023209808448655447),
5660 (3.1769991619799516, 0.0000271186009253837),
5661 (0.8229514491446557, 0.28064745852853384),
5662 ],
5663 &[
5664 (0.5316330013426547, 0.4018264694704118),
5665 (1.0676487257434508, 0.1726482976700975),
5666 (1.6129243142212313, 0.040920034149756424),
5667 (2.1735028266666245, 0.005067349957627136),
5668 (2.7577629157038923, 0.00029864328669771626),
5669 (4.871345193674406, 0.000000000045805789307981146),
5670 (4.061946675875511, 0.0000000497707898162795),
5671 (3.3789320911415084, 0.000007112289140019297),
5672 ],
5673 &[
5674 (1.3009208583896186, 0.09730174764131451),
5675 (0.7766829192674118, 0.28480728566997965),
5676 (1.8355316042616374, 0.018640042387542546),
5677 (2.386299089166682, 0.001888522630268459),
5678 (3.5737690684862033, 0.0000018106544810949903),
5679 (2.961377505531634, 0.00009181126867930403),
5680 (0.25826775051909673, 0.4834956947254555),
5681 (5.048364008874456, 0.000000000007828199772117288),
5682 (4.2481178735680984, 0.000000010467205795795588),
5683 ],
5684 &[
5685 (1.0103683871343112, 0.18363270130699702),
5686 (0.5035201634238882, 0.3916089886130303),
5687 (5.220271690537475, 0.0000000000013262970944986284),
5688 (1.524170619393532, 0.050810386909051944),
5689 (2.049231709850601, 0.007988866777723876),
5690 (2.591133789794568, 0.0006708775214069669),
5691 (3.762187351963988, 0.000000448824314722163),
5692 (3.1578488183475804, 0.000027209197763165388),
5693 (0.0, 0.5029748882761865),
5694 (4.428532806603742, 0.0000000021630510098654235),
5695 ],
5696 &[
5697 (1.2340762153953238, 0.1090172060200211),
5698 (1.7385377121165846, 0.024810520887464226),
5699 (2.254974002089305, 0.003243773342235725),
5700 (0.7374737285453944, 0.286675505362835),
5701 (2.78880605842807, 0.00022833863601637704),
5702 (3.347854567383257, 0.000007802556478534267),
5703 (4.603682449550751, 0.00000000043993409922740877),
5704 (5.387480890011245, 0.00000000000022293936455336517),
5705 (3.944764040115711, 0.00000010860693707686313),
5706 (0.24534070830090127, 0.46224366960061),
5707 ],
5708 &[
5709 (3.531972877137794, 0.000002171884898048788),
5710 (0.47945070707910753, 0.38166907361350244),
5711 (0.9614996344183693, 0.192120324066999),
5712 (1.4489342506507334, 0.06017964665891326),
5713 (1.9449629491862477, 0.01141406583743688),
5714 (2.453552124512811, 0.0012549820417267015),
5715 (2.9799912077046717, 0.00007478398867305183),
5716 (
5717 0.000000000000000000000000006462348535570529,
5718 0.4790237031201776,
5719 ),
5720 (5.550351873264615, 0.00000000000003720365070141905),
5721 (4.773992343411177, 0.00000000008818611242057148),
5722 (4.121995547491838, 0.00000002571230180058311),
5723 ],
5724 &[
5725 (0.703686097170007, 0.28697143324690716),
5726 (1.1767139584812443, 0.11910236095878116),
5727 (1.6558743732864287, 0.03114037088442125),
5728 (2.144233592798554, 0.004978399335052298),
5729 (2.6456374410581787, 0.0004648850508843284),
5730 (3.1652659092025375, 0.000023655128552354708),
5731 (4.9398341310599845, 0.00000000001744339007555653),
5732 (4.294312480593143, 0.000000005966990986060552),
5733 (3.710701532877414, 0.0000005884287563355937),
5734 (0.23417913993099063, 0.4435452264349592),
5735 (5.709201353205243, 0.000000000000006167183424407208),
5736 ],
5737 &[
5738 (0.4585383500681047, 0.37214382487756514),
5739 (0.9191514654425641, 0.19864489857802417),
5740 (1.3840395856824963, 0.06889028942908348),
5741 (1.855677037671392, 0.015207084004479742),
5742 (2.3370162114744453, 0.002069567874959676),
5743 (2.8318037871264155, 0.00016556169914145043),
5744 (3.345127159940965, 0.000007249295917998907),
5745 (4.462091173740272, 0.0000000013596296503880212),
5746 (5.864309498984492, 0.0000000000000010160384620658547),
5747 (3.884472708105962, 0.0000001555339329152806),
5748 (
5749 0.0000000000000000000000016543612251060553,
5750 0.4581965855932134,
5751 ),
5752 (5.101534610476862, 0.0000000000034083140980248967),
5753 ],
5754 &[
5755 (0.6741711070372122, 0.2861795353464431),
5756 (1.126760817611244, 0.12773962178455622),
5757 (1.584250010961693, 0.03744547050322833),
5758 (2.049003573661725, 0.0070483558100753),
5759 (2.5238810170115142, 0.0008236924826873838),
5760 (3.012546137565452, 0.00005688691636410299),
5761 (3.520006813033911, 0.000002158245704907957),
5762 (6.015925561425685, 0.00000000000000016643684964905528),
5763 (5.259382927667653, 0.0000000000006584620243144965),
5764 (4.6256627564235036, 0.00000000030462542699915223),
5765 (4.053664402447418, 0.00000004018971174972658),
5766 (0.2244145474725156, 0.4269311638686992),
5767 ],
5768 &[
5769 (0.44014729864530827, 0.3630889892758904),
5770 (0.0, 0.4398687221694848),
5771 (0.8819827562138218, 0.20362113667812456),
5772 (1.7780011243371694, 0.019243098965403146),
5773 (2.236420130267199, 0.00311570872012796),
5774 (2.70532023717262, 0.00031508363874643294),
5775 (3.188294924426567, 0.000018915972957056787),
5776 (3.69028287699787, 0.0000006257032499701357),
5777 (6.164272434052493, 0.000000000000000027119235140370137),
5778 (4.7853203673509705, 0.00000000006719638417833212),
5779 (4.218609444387147, 0.000000010170382502923877),
5780 (1.3272807020730844, 0.07688899517581167),
5781 (5.413636355279929, 0.0000000000001258814987742918),
5782 ],
5783 &[
5784 (0.6480952139934482, 0.2846322411767852),
5785 (1.0827330110778826, 0.13511332791179118),
5786 (1.5213615166519332, 0.043598227217242914),
5787 (1.9658547856411226, 0.009397901291169033),
5788 (2.418415764773397, 0.001319064722329061),
5789 (2.8817622195427477, 0.00011622970160242979),
5790 (3.359427182349851, 0.000006103291717458342),
5791 (4.941324957240534, 0.000000000014609999340386852),
5792 (3.856288419910406, 0.0000001770106337350004),
5793 (6.309550385625781, 0.000000000000000004396916094745849),
5794 (4.3796026629880425, 0.000000002524494034229863),
5795 (0.21577785624346346, 0.41204365059036935),
5796 (5.56452498194968, 0.000000000000023831486593989576),
5797 ],
5798 &[
5799 (0.42380790054385303, 0.3545173040997538),
5800 (1.7095607392603236, 0.023415933625335724),
5801 (1.2770668173398612, 0.08417308108405078),
5802 (2.1482966453617864, 0.00438127983579775),
5803 (2.5954163389102898, 0.000536769615688849),
5804 (3.053582419823145, 0.000041467580044010925),
5805 (4.018318670409682, 0.00000004895400409624011),
5806 (3.526275340134713, 0.0000019152809005796453),
5807 (0.8490113420601032, 0.20737048075100933),
5808 (5.7122555528145975, 0.000000000000004470772457581752),
5809 (5.093910003117675, 0.000000000003134117613177478),
5810 (6.451940140753698, 0.000000000000000000709577929700296),
5811 (4.536906663370579, 0.0000000006155031578527683),
5812 (0.0, 0.42357728801505945),
5813 ],
5814];
5815
5816#[allow(clippy::excessive_precision)]
5819pub const WEIGHTS_DE: [&[(f64, f64)]; 7] = [
5820 &[
5821 (0.230022394514788685, 0.95136796407274694573),
5823 (0.00026620051375271690866, 0.99997747719246159286),
5824 (1.3581784274539090834e-12, 0.99999999999995705839),
5825 ],
5826 &[
5827 (0.5 * 0.96597657941230114801, 0.67427149224843582608),
5829 (0.5 * 0.018343166989927842087, 0.99751485645722438683),
5830 (0.5 * 2.1431204556943039358e-7, 0.99999998887566488198),
5831 ],
5832 &[
5833 (0.25 * 1.3896147592472563229, 0.37720973816403417379),
5835 (0.25 * 0.53107827542805397476, 0.85956905868989663517),
5836 (0.25 * 0.076385743570832304188, 0.98704056050737689169),
5837 (0.25 * 0.0029025177479013135936, 0.99968826402835320905),
5838 (0.25 * 0.000011983701363170720047, 0.99999920473711471266),
5839 (0.25 * 1.1631165814255782766e-9, 0.99999999995285644818),
5840 ],
5841 &[
5842 (0.125 * 1.5232837186347052132, 0.19435700332493543161),
5844 (0.125 * 1.1934630258491569639, 0.53914670538796776905),
5845 (0.125 * 0.73743784836154784136, 0.78060743898320029925),
5846 (0.125 * 0.36046141846934367417, 0.91487926326457461091),
5847 (0.125 * 0.13742210773316772341, 0.97396686819567744856),
5848 (0.125 * 0.039175005493600779072, 0.99405550663140214329),
5849 (0.125 * 0.0077426010260642407123, 0.99906519645578584642),
5850 (0.125 * 0.00094994680428346871691, 0.99990938469514399984),
5851 (0.125 * 0.000062482559240744082891, 0.99999531604122052843),
5852 (0.125 * 1.8263320593710659699e-6, 0.99999989278161241838),
5853 (0.125 * 1.8687282268736410132e-8, 0.99999999914270509218),
5854 (0.125 * 4.9378538776631926964e-11, 0.99999999999823216531),
5855 ],
5856 &[
5857 (0.0625 * 1.5587733555333301451, 0.097923885287832333262),
5859 (0.0625 * 1.466014426716965781, 0.28787993274271591456),
5860 (0.0625 * 1.297475750424977998, 0.46125354393958570440),
5861 (0.0625 * 1.0816349854900704074, 0.61027365750063894488),
5862 (0.0625 * 0.85017285645662006895, 0.73101803479256151149),
5863 (0.0625 * 0.63040513516474369106, 0.82331700550640237006),
5864 (0.0625 * 0.44083323627385823707, 0.88989140278426019808),
5865 (0.0625 * 0.290240679312454185, 0.93516085752198468323),
5866 (0.0625 * 0.17932441211072829296, 0.96411216422354729193),
5867 (0.0625 * 0.10343215422333290062, 0.98145482667733517003),
5868 (0.0625 * 0.055289683742240583845, 0.99112699244169880223),
5869 (0.0625 * 0.027133510013712003219, 0.99610866543750854254),
5870 (0.0625 * 0.012083543599157953493, 0.99845420876769773751),
5871 (0.0625 * 0.0048162981439284630173, 0.99945143443527460584),
5872 (0.0625 * 0.0016908739981426396472, 0.99982882207287494166),
5873 (0.0625 * 0.00051339382406790336017, 0.99995387100562796075),
5874 (0.0625 * 0.00013205234125609974879, 0.99998948201481850361),
5875 (0.0625 * 0.000028110164327940134749, 0.99999801714059543208),
5876 (0.0625 * 4.8237182032615502124e-6, 0.99999969889415261122),
5877 (0.0625 * 6.4777566035929719908e-7, 0.99999996423908091534),
5878 (0.0625 * 6.5835185127183396672e-8, 0.99999999678719909830),
5879 (0.0625 * 4.8760060974240625869e-9, 0.99999999978973286224),
5880 (0.0625 * 2.5216347918530148572e-10, 0.99999999999039393352),
5881 (0.0625 * 8.6759314149796046502e-12, 0.99999999999970809734),
5882 ],
5883 &[
5884 (0.03125 * 1.5677814313072218572, 0.049055967305077886315),
5886 (0.03125 * 1.5438811161769592204, 0.14641798429058794053),
5887 (0.03125 * 1.4972262225410362896, 0.24156631953888365838),
5888 (0.03125 * 1.4300083548722996676, 0.33314226457763809244),
5889 (0.03125 * 1.3452788847662516615, 0.41995211127844715849),
5890 (0.03125 * 1.2467012074518577048, 0.50101338937930910152),
5891 (0.03125 * 1.1382722433763053734, 0.57558449063515165995),
5892 (0.03125 * 1.0240449331118114483, 0.64317675898520470128),
5893 (0.03125 * 0.90787937915489531693, 0.70355000514714201566),
5894 (0.03125 * 0.79324270082051671787, 0.75669390863372994941),
5895 (0.03125 * 0.68306851634426375464, 0.80279874134324126576),
5896 (0.03125 * 0.57967810308778764708, 0.84221924635075686382),
5897 (0.03125 * 0.48475809121475539287, 0.87543539763040867837),
5898 (0.03125 * 0.39938474152571713515, 0.90301328151357387064),
5899 (0.03125 * 0.32408253961152890402, 0.92556863406861266645),
5900 (0.03125 * 0.258904639514053516, 0.94373478605275715685),
5901 (0.03125 * 0.20352399885860174519, 0.95813602271021369012),
5902 (0.03125 * 0.15732620348436615027, 0.96936673289691733517),
5903 (0.03125 * 0.11949741128869592428, 0.97797623518666497298),
5904 (0.03125 * 0.089103139240941462841, 0.98445883116743083087),
5905 (0.03125 * 0.065155533432536205042, 0.98924843109013389601),
5906 (0.03125 * 0.046668208054846613644, 0.99271699719682728538),
5907 (0.03125 * 0.032698732726609031113, 0.99517602615532735426),
5908 (0.03125 * 0.022379471063648476483, 0.99688031812819187372),
5909 (0.03125 * 0.014937835096050129696, 0.99803333631543375402),
5910 (0.03125 * 0.0097072237393916892692, 0.99879353429880589929),
5911 (0.03125 * 0.0061300376320830301252, 0.99928111192179195541),
5912 (0.03125 * 0.0037542509774318343023, 0.99958475035151758732),
5913 (0.03125 * 0.0022250827064786427022, 0.99976797159956083506),
5914 (0.03125 * 0.0012733279447082382027, 0.99987486504878034648),
5915 (0.03125 * 0.0007018595156842422708, 0.99993501992508242369),
5916 (0.03125 * 0.00037166693621677760301, 0.99996759306794345976),
5917 (0.03125 * 0.00018856442976700318572, 0.99998451990227082442),
5918 (0.03125 * 0.000091390817490710122732, 0.99999293787666288565),
5919 (0.03125 * 0.000042183183841757600604, 0.99999693244919035751),
5920 (0.03125 * 0.000018481813599879217116, 0.99999873547186590954),
5921 (0.03125 * 7.6595758525203162562e-6, 0.99999950700571943689),
5922 (0.03125 * 2.9916615878138787094e-6, 0.99999981889371276701),
5923 (0.03125 * 1.0968835125901264732e-6, 0.99999993755407837378),
5924 (0.03125 * 3.7595411862360630091e-7, 0.99999997987450320175),
5925 (0.03125 * 1.1992442782902770219e-7, 0.99999999396413420165),
5926 (0.03125 * 3.5434777171421953043e-8, 0.99999999832336194826),
5927 (0.03125 * 9.6498888961089633609e-9, 0.99999999957078777261),
5928 (0.03125 * 2.4091773256475940779e-9, 0.99999999989927772326),
5929 (0.03125 * 5.482835779709497755e-10, 0.99999999997845533741),
5930 (0.03125 * 1.1306055347494680536e-10, 0.99999999999582460688),
5931 (0.03125 * 2.0989335404511469109e-11, 0.99999999999927152627),
5932 (0.03125 * 3.4841937670261059685e-12, 0.99999999999988636130),
5933 ],
5934 &[
5935 (0.015625 * 1.5700420292795931467, 0.024539763574649160379),
5937 (0.015625 * 1.5640214037732320999, 0.073525122985671294475),
5938 (0.015625 * 1.5520531698454121192, 0.12222912220155764235),
5939 (0.015625 * 1.5342817381543034316, 0.17046797238201051811),
5940 (0.015625 * 1.5109197230741697127, 0.21806347346971200463),
5941 (0.015625 * 1.48224329788553807, 0.26484507658344795046),
5942 (0.015625 * 1.4485862549613225916, 0.31065178055284596083),
5943 (0.015625 * 1.4103329714462590129, 0.35533382516507453330),
5944 (0.015625 * 1.3679105116808964881, 0.39875415046723775644),
5945 (0.015625 * 1.3217801174437728579, 0.44078959903390086627),
5946 (0.015625 * 1.2724283455378627082, 0.48133184611690504422),
5947 (0.015625 * 1.2203581095793582207, 0.52028805069123015958),
5948 (0.015625 * 1.1660798699324345766, 0.55758122826077823080),
5949 (0.015625 * 1.1101031939653403796, 0.59315035359195315880),
5950 (0.015625 * 1.0529288799552666556, 0.62695020805104287950),
5951 (0.015625 * 0.99504180404613271514, 0.65895099174335012438),
5952 (0.015625 * 0.93690461274566793366, 0.68913772506166767176),
5953 (0.015625 * 0.87895234555278212039, 0.71750946748732412721),
5954 (0.015625 * 0.82158803526696470334, 0.74407838354734739913),
5955 (0.015625 * 0.7651792989089561367, 0.76886868676824658459),
5956 (0.015625 * 0.71005590120546898385, 0.79191549237614211447),
5957 (0.015625 * 0.65650824613162753076, 0.81326360850297385168),
5958 (0.015625 * 0.60478673057840362158, 0.83296629391941087564),
5959 (0.015625 * 0.55510187800363350959, 0.85108400798784873261),
5960 (0.015625 * 0.5076251588319080997, 0.86768317577564598669),
5961 (0.015625 * 0.4624903980553677613, 0.88283498824466895513),
5962 (0.015625 * 0.41979566844501548066, 0.89661425428007602579),
5963 (0.015625 * 0.37960556938665160999, 0.90909831816302043511),
5964 (0.015625 * 0.3419537959230168323, 0.92036605303195280235),
5965 (0.015625 * 0.30684590941791694932, 0.93049693799715340631),
5966 (0.015625 * 0.27426222968906810637, 0.93957022393327475539),
5967 (0.015625 * 0.24416077786983990868, 0.94766419061515309734),
5968 (0.015625 * 0.21648020911729617038, 0.95485549580502268541),
5969 (0.015625 * 0.19114268413342749532, 0.96121861515111640753),
5970 (0.015625 * 0.16805663794826916233, 0.96682537031235585284),
5971 (0.015625 * 0.14711941325785693248, 0.97174454156548730892),
5972 (0.015625 * 0.12821973363120098675, 0.97604156025657673933),
5973 (0.015625 * 0.11123999898874453035, 0.97977827580061576265),
5974 (0.015625 * 0.096058391865189467849, 0.98301279148110110558),
5975 (0.015625 * 0.082550788110701737654, 0.98579936302528343597),
5976 (0.015625 * 0.070592469906866999352, 0.98818835380074264243),
5977 (0.015625 * 0.060059642358636300319, 0.99022624046752774694),
5978 (0.015625 * 0.05083075757257047107, 0.99195566300267761562),
5979 (0.015625 * 0.042787652157725676034, 0.99341551316926403900),
5980 (0.015625 * 0.035816505604196436523, 0.99464105571251119672),
5981 (0.015625 * 0.029808628117310126969, 0.99566407681695316965),
5982 (0.015625 * 0.024661087314753282511, 0.99651305464025377317),
5983 (0.015625 * 0.020277183817500123926, 0.99721334704346870224),
5984 (0.015625 * 0.016566786254247575375, 0.99778739195890653083),
5985 (0.015625 * 0.013446536605285730674, 0.99825491617199629344),
5986 (0.015625 * 0.010839937168255907211, 0.99863314864067747762),
5987 (0.015625 * 0.0086773307495391815854, 0.99893703483351217373),
5988 (0.015625 * 0.0068957859690660035329, 0.99917944893488591716),
5989 (0.015625 * 0.0054388997976239984331, 0.99937140114093768690),
5990 (0.015625 * 0.0042565295990178580165, 0.99952223765121720422),
5991 (0.015625 * 0.0033044669940348302363, 0.99963983134560036519),
5992 (0.015625 * 0.0025440657675291729678, 0.99973076151980848263),
5993 (0.015625 * 0.0019418357759843675814, 0.99980048143113838630),
5994 (0.015625 * 0.0014690143599429791058, 0.99985347277311141171),
5995 (0.015625 * 0.0011011261134519383862, 0.99989338654759256426),
5996 (0.015625 * 0.00081754101332469493115, 0.99992317012928932869),
5997 (0.015625 * 0.00060103987991147422573, 0.99994518061445869309),
5998 (0.015625 * 0.00043739495615911687786, 0.99996128480785666613),
5999 (0.015625 * 0.00031497209186021200274, 0.99997294642523223656),
6000 (0.015625 * 0.00022435965205008549104, 0.99998130127012072679),
6001 (0.015625 * 0.00015802788400701191949, 0.99998722128200062811),
6002 (0.015625 * 0.00011002112846666697224, 0.99999136844834487344),
6003 (
6004 0.015625 * 0.000075683996586201477788,
6005 0.99999423962761663478,
6006 ),
6007 (
6008 0.015625 * 0.000051421497447658802092,
6009 0.99999620334716617675,
6010 ),
6011 (0.015625 * 0.0000344921247593431977, 0.99999752962380516793),
6012 (
6013 0.015625 * 0.000022832118109036146591,
6014 0.99999841381096473542,
6015 ),
6016 (
6017 0.015625 * 0.000014908514031870608449,
6018 0.99999899541068996962,
6019 ),
6020 (0.015625 * 9.5981941283784710776e-6, 0.99999937270733536947),
6021 (0.015625 * 6.0899100320949039256e-6, 0.99999961398855024275),
6022 (0.015625 * 3.8061983264644899045e-6, 0.99999976602333243312),
6023 (0.015625 * 2.3421667208528096843e-6, 0.99999986037121459941),
6024 (0.015625 * 1.4183067155493917523e-6, 0.99999991800479471056),
6025 (0.015625 * 8.4473756384859863469e-7, 0.99999995264266446185),
6026 (0.015625 * 4.9458288702754198508e-7, 0.99999997311323594362),
6027 (0.015625 * 2.8449923659159806339e-7, 0.99999998500307631173),
6028 (0.015625 * 1.6069394579076224911e-7, 0.99999999178645609907),
6029 (0.015625 * 8.9071395140242387124e-8, 0.99999999558563361584),
6030 (0.015625 * 4.8420950198072369669e-8, 0.99999999767323673790),
6031 (0.015625 * 2.579956822953589238e-8, 0.99999999879798350040),
6032 (0.015625 * 1.3464645522302038796e-8, 0.99999999939177687583),
6033 (0.015625 * 6.8784610955899001111e-9, 0.99999999969875436925),
6034 (0.015625 * 3.4371856744650090511e-9, 0.99999999985405611550),
6035 (0.015625 * 1.6788897682161906807e-9, 0.99999999993088839501),
6036 (0.015625 * 8.0099784479729665356e-10, 0.99999999996803321674),
6037 (0.015625 * 3.7299501843052790038e-10, 0.99999999998556879008),
6038 (0.015625 * 1.6939457789411646876e-10, 0.99999999999364632387),
6039 (0.015625 * 7.4967397573818224522e-11, 0.99999999999727404948),
6040 (0.015625 * 3.230446433325236576e-11, 0.99999999999886126543),
6041 (0.015625 * 1.3542512912336274432e-11, 0.99999999999953722654),
6042 (0.015625 * 5.5182369468174885821e-12, 0.99999999999981720098),
6043 (0.015625 * 2.1835922099233609052e-12, 0.99999999999992987953),
6044 ],
6045]; pub const WEIGHTS_LAGUERRE: &[&[(f64, f64)]] = &[
6048 &[(1.0, 1.0)],
6049 &[
6050 (3.414213562373095, 0.1464466094067262),
6051 (0.5857864376269049, 0.8535533905932741),
6052 ],
6053 &[
6054 (0.415774556783479, 0.7110930099291731),
6055 (2.2942803602790414, 0.2785177335692415),
6056 (6.2899450829374794, 0.0103892565015861),
6057 ],
6058 &[
6059 (0.32254768961939234, 0.6031541043416327),
6060 (1.7457611011583463, 0.35741869243780167),
6061 (9.395070912301131, 0.0005392947055613306),
6062 (4.536620296921128, 0.03888790851500506),
6063 ],
6064 &[
6065 (0.2635603197181409, 0.5217556105828075),
6066 (1.4134030591065174, 0.39866681108317414),
6067 (3.5964257710407215, 0.07594244968170707),
6068 (7.085810005858829, 0.003611758679922193),
6069 (12.64080084427578, 0.000023369972385775425),
6070 ],
6071 &[
6072 (0.2228466041792607, 0.4589646739499644),
6073 (1.1889321016726224, 0.4170008307721208),
6074 (2.9927363260593127, 0.11337338207404515),
6075 (5.775143569104504, 0.01039919745314942),
6076 (15.982873980601713, 0.000000898547906429553),
6077 (9.837467418382557, 0.00026101720281495846),
6078 ],
6079 &[
6080 (0.19304367656036242, 0.40931895170127447),
6081 (1.0266648953391913, 0.42183127786172464),
6082 (2.5678767449507447, 0.14712634865749938),
6083 (4.90035308452649, 0.020633514468721345),
6084 (8.182153444562898, 0.001074010143280573),
6085 (12.734180291797822, 0.000015865464348562705),
6086 (19.39572786226255, 0.00000003170315478995339),
6087 ],
6088 &[
6089 (0.17027963230510101, 0.3691885893416387),
6090 (0.9037017767993802, 0.41878678081433957),
6091 (2.2510866298661223, 0.1757949866371806),
6092 (4.266700170287707, 0.03334349226121529),
6093 (7.045905402393452, 0.002794536235224991),
6094 (10.758516010181166, 0.00009076508773357571),
6095 (22.863131736889294, 0.0000000010480011748714847),
6096 (15.740678641278047, 0.0000008485746716267017),
6097 ],
6098 &[
6099 (0.15232222773180826, 0.33612642179796093),
6100 (0.8072200227422551, 0.41121398042399476),
6101 (2.005135155619351, 0.19928752537086228),
6102 (3.7834739733312293, 0.04746056276566921),
6103 (6.204956777876491, 0.0055996266107984334),
6104 (9.372985251687528, 0.00030524976709253967),
6105 (13.46623691109195, 0.000006592123026096812),
6106 (18.833597788991586, 0.00000004110769330351708),
6107 (26.374071890927514, 0.000000000032908740303513914),
6108 ],
6109 &[
6110 (0.13779347054049246, 0.3084411157650194),
6111 (0.7294545495031706, 0.40111992915527156),
6112 (1.8083429017403179, 0.218068287611829),
6113 (3.4014336978548716, 0.062087456098701116),
6114 (5.552496140063563, 0.009501516975197416),
6115 (8.33015274676417, 0.000753008388586491),
6116 (11.843785837902553, 0.000028259233496024502),
6117 (16.27925783137718, 0.000000424931398495275),
6118 (29.920697012274026, 0.0000000000009911827219597304),
6119 (21.996585811981028, 0.0000000018395648239857642),
6120 ],
6121 &[
6122 (0.1257964421879675, 0.2849332128942031),
6123 (0.665418255839228, 0.389720889527854),
6124 (1.6471505458721756, 0.2327818318489814),
6125 (3.0911381430352214, 0.07656445354616603),
6126 (5.029284401580054, 0.014393282767392346),
6127 (7.50988786380536, 0.0015188808464845465),
6128 (10.605950999549625, 0.00008513122435521024),
6129 (14.431613758059003, 0.0000022924038795707537),
6130 (19.178857403213787, 0.00000002486353702799373),
6131 (25.217709339676784, 0.00000000007712626933678658),
6132 (33.4971928471758, 0.000000000000028837758683163035),
6133 ],
6134 &[
6135 (0.11572211735802065, 0.26473137105544353),
6136 (0.6117574845151299, 0.3777592758731454),
6137 (1.5126102697764239, 0.24408201131986645),
6138 (2.833751337743385, 0.09044922221178123),
6139 (4.599227639419226, 0.020102381154568357),
6140 (6.844525453111944, 0.0026639735419284024),
6141 (9.62131684246349, 0.0002032315926546701),
6142 (13.006054993302694, 0.000008365055857489104),
6143 (17.116855187461553, 0.00000016684938765711436),
6144 (22.151090379399548, 0.0000000013423910305965858),
6145 (37.09912104446848, 0.0000000000000008148077467429861),
6146 (28.487967250987538, 0.000000000003061601634957796),
6147 ],
6148];