Line data Source code
1 : !!****m* ABINIT/m_lebedev
2 : !! NAME
3 : !! m_lebedev
4 : !!
5 : !! FUNCTION
6 : !! This module contains routines for performing integrations
7 : !! on the sphere using Lebedev-Laikov angular grids.
8 : !!
9 : !! COPYRIGHT
10 : !! Copyright (C) 2008-2026 ABINIT group (MG)
11 : !! This file is distributed under the terms of the
12 : !! GNU General Public License, see ~abinit/COPYING
13 : !! or http://www.gnu.org/copyleft/gpl.txt .
14 : !!
15 : !! SOURCE
16 :
17 : #if defined HAVE_CONFIG_H
18 : #include "config.h"
19 : #endif
20 :
21 : #include "abi_common.h"
22 :
23 : MODULE m_lebedev
24 :
25 : use defs_basis
26 : use m_abicore
27 : use m_errors
28 :
29 : use m_fstrings, only : sjoin, itoa
30 :
31 : implicit none
32 :
33 : private
34 : !!***
35 :
36 : !----------------------------------------------------------------------
37 :
38 : !!****t* m_lebedev/lebedev_t
39 : !! NAME
40 : !! lebedev_t
41 : !!
42 : !! FUNCTION
43 : !! Structure storing the knots and the weights of the lebedev-laikov grid.
44 : !!
45 : !! SOURCE
46 :
47 : type,public :: lebedev_t
48 :
49 : integer :: npts
50 : ! Number of points in the grid.
51 :
52 : real(dp),allocatable :: versors(:,:)
53 : ! (3, npts)
54 : ! Points on the unit sphere in Cartesian coordinates.
55 :
56 : real(dp),allocatable :: weights(:)
57 : ! (npts)
58 : ! Weights for spherical integration.
59 :
60 : contains
61 :
62 : procedure :: from_npts => lebedev_from_npts
63 : ! Create a Lebedev grid for the number of points.
64 :
65 : procedure :: from_index => lebedev_from_index
66 : ! Create a Lebedev grid for its index. Useful if one has to loop over all the grids.
67 :
68 : procedure :: free => lebedev_free
69 : ! Free memory
70 :
71 : end type lebedev_t
72 :
73 : !----------------------------------------------------------------------
74 :
75 : integer,public,parameter :: lebedev_ngrids = 32
76 : ! The number of grids available.
77 :
78 : ! The number of points in each grid.
79 : integer,public,parameter :: lebedev_npts(lebedev_ngrids)=(/ &
80 : 0006,&
81 : 0014,&
82 : 0026,&
83 : 0038,&
84 : 0050,&
85 : 0074,&
86 : 0086,&
87 : 0110,&
88 : 0146,&
89 : 0170,&
90 : 0194,&
91 : 0230,&
92 : 0266,&
93 : 0302,&
94 : 0350,&
95 : 0434,&
96 : 0590,&
97 : 0770,&
98 : 0974,&
99 : 1202,&
100 : 1454,&
101 : 1730,&
102 : 2030,&
103 : 2354,&
104 : 2702,&
105 : 3074,&
106 : 3470,&
107 : 3890,&
108 : 4334,&
109 : 4802,&
110 : 5294,&
111 : 5810/)
112 :
113 : contains !===========================================================
114 : !!***
115 :
116 : !!****f* m_lebedev/lebedev_from_npts
117 : !! NAME
118 : !! lebedev_from_npts
119 : !!
120 : !! FUNCTION
121 : !! Create a lebedev grid given the number of points npts.
122 : !! Exit status:
123 : !! 0 on success
124 : !! -1 if npts is greater than the max number of points supported.
125 : !! N > 0 is the first grid with size greater that npts.
126 : !!
127 : !! INPUTS
128 : !!
129 : !! SOURCE
130 :
131 0 : subroutine lebedev_from_npts(new, npts, ierr)
132 :
133 : !Arguments ------------------------------------
134 : class(lebedev_t),intent(out) :: new
135 : integer,intent(in) :: npts
136 : integer,intent(out) :: ierr
137 :
138 : !Local variables-------------------------------
139 : integer :: seq_idx
140 : ! *********************************************************************
141 :
142 0 : ierr = -1
143 0 : do seq_idx=1, lebedev_ngrids
144 0 : if (lebedev_npts(seq_idx) == npts) then
145 0 : call new%from_index(seq_idx)
146 0 : ierr = 0
147 0 : return
148 0 : else if (lebedev_npts(seq_idx) > npts .and. ierr == -1) then
149 0 : ierr = lebedev_npts(seq_idx)
150 : end if
151 : end do
152 :
153 : end subroutine lebedev_from_npts
154 : !!***
155 :
156 : !----------------------------------------------------------------------
157 :
158 : !!****f* m_lebedev/lebedev_from_index
159 : !! NAME
160 : !! lebedev_from_index
161 : !!
162 : !! FUNCTION
163 : !! Create a lebedev grid from the sequential index.
164 : !! Useful if one has to loop over all the grids.
165 : !!
166 : !! INPUTS
167 : !! seq_idx=Sequential index comprised between 1 and 32 defining the order of the mesh.
168 : !!
169 : !! SOURCE
170 :
171 6 : subroutine lebedev_from_index(new, seq_idx)
172 :
173 : !Arguments ------------------------------------
174 : class(lebedev_t),intent(out) :: new
175 : integer,intent(in) :: seq_idx
176 :
177 : !Local variables-------------------------------
178 : integer :: ii
179 6 : real(dp),allocatable :: xx(:),yy(:),zz(:)
180 : ! *********************************************************************
181 :
182 6 : call build_lebedev_grid(seq_idx, new%npts, xx, yy, zz, new%weights)
183 :
184 18 : ABI_MALLOC(new%versors, (3,new%npts))
185 574 : do ii=1,new%npts
186 2278 : new%versors(:,ii) = [xx(ii), yy(ii), zz(ii)]
187 : end do
188 :
189 6 : ABI_FREE(xx)
190 6 : ABI_FREE(yy)
191 6 : ABI_FREE(zz)
192 :
193 6 : end subroutine lebedev_from_index
194 : !!***
195 :
196 : !----------------------------------------------------------------------
197 :
198 : !!****f* m_lebedev/lebedev_free
199 : !! NAME
200 : !! lebedev_free
201 : !!
202 : !! FUNCTION
203 : !! Free an instance of lebedev_t
204 : !!
205 : !! SOURCE
206 :
207 6 : subroutine lebedev_free(lgrid)
208 :
209 : !Arguments ------------------------------------
210 : class(lebedev_t),intent(inout) :: lgrid
211 : ! *********************************************************************
212 :
213 6 : ABI_SFREE(lgrid%versors)
214 6 : ABI_SFREE(lgrid%weights)
215 :
216 6 : end subroutine lebedev_free
217 : !!***
218 :
219 : !----------------------------------------------------------------------
220 :
221 : !!****f* m_lebedev/build_lebedev_grid
222 : !! NAME
223 : !! build_lebedev_grid
224 : !!
225 : !! FUNCTION
226 : !! Helper subroutine returning the knots and weights of the angular grid from its sequential index
227 : !!
228 : !! INPUTS
229 : !! seq_idx=sequential index (must be in [1,32]
230 : !!
231 : !! OUTPUT
232 : !! npts=Number of points
233 : !! xx(npts),yy(npts),zz(npts)=The Cartesian coordinates of the knots.
234 : !! ww(npts)=The weights.
235 : !!
236 : !! SOURCE
237 :
238 6 : subroutine build_lebedev_grid(seq_idx, npts, xx, yy, zz, ww)
239 :
240 : !Arguments ------------------------------------
241 : integer,intent(in) :: seq_idx
242 : integer,intent(out) :: npts
243 : real(dp),allocatable,intent(out) :: xx(:),yy(:),zz(:),ww(:)
244 : ! *********************************************************************
245 :
246 6 : if (seq_idx < 1 .or. seq_idx > lebedev_ngrids) then
247 0 : ABI_ERROR(sjoin("seq_idx ",itoa(seq_idx), "out of range"))
248 : end if
249 :
250 6 : npts = lebedev_npts(seq_idx)
251 :
252 18 : ABI_MALLOC(xx, (npts))
253 12 : ABI_MALLOC(yy, (npts))
254 12 : ABI_MALLOC(zz, (npts))
255 12 : ABI_MALLOC(ww, (npts))
256 :
257 1 : SELECT CASE (seq_idx)
258 : CASE (1)
259 1 : call LD0006(xx,yy,zz,ww,npts)
260 : CASE (2)
261 1 : call LD0014(xx,yy,zz,ww,npts)
262 : CASE (3)
263 1 : call LD0026(xx,yy,zz,ww,npts)
264 : CASE (4)
265 1 : call LD0038(xx,yy,zz,ww,npts)
266 : CASE (5)
267 1 : call LD0050(xx,yy,zz,ww,npts)
268 : CASE (6)
269 0 : call LD0074(xx,yy,zz,ww,npts)
270 : CASE (7)
271 0 : call LD0086(xx,yy,zz,ww,npts)
272 : CASE (8)
273 0 : call LD0110(xx,yy,zz,ww,npts)
274 : CASE (9)
275 0 : call LD0146(xx,yy,zz,ww,npts)
276 : CASE (10)
277 0 : call LD0170(xx,yy,zz,ww,npts)
278 : CASE (11)
279 0 : call LD0194(xx,yy,zz,ww,npts)
280 : CASE (12)
281 0 : call LD0230(xx,yy,zz,ww,npts)
282 : CASE (13)
283 0 : call LD0266(xx,yy,zz,ww,npts)
284 : CASE (14)
285 0 : call LD0302(xx,yy,zz,ww,npts)
286 : CASE (15)
287 0 : call LD0350(xx,yy,zz,ww,npts)
288 : CASE (16)
289 1 : call LD0434(xx,yy,zz,ww,npts)
290 : CASE (17)
291 0 : call LD0590(xx,yy,zz,ww,npts)
292 : CASE (18)
293 0 : call LD0770(xx,yy,zz,ww,npts)
294 : CASE (19)
295 0 : call LD0974(xx,yy,zz,ww,npts)
296 : CASE (20)
297 0 : call LD1202(xx,yy,zz,ww,npts)
298 : CASE (21)
299 0 : call LD1454(xx,yy,zz,ww,npts)
300 : CASE (22)
301 0 : call LD1730(xx,yy,zz,ww,npts)
302 : CASE (23)
303 0 : call LD2030(xx,yy,zz,ww,npts)
304 : CASE (24)
305 0 : call LD2354(xx,yy,zz,ww,npts)
306 : CASE (25)
307 0 : call LD2702(xx,yy,zz,ww,npts)
308 : CASE (26)
309 0 : call LD3074(xx,yy,zz,ww,npts)
310 : CASE (27)
311 0 : call LD3470(xx,yy,zz,ww,npts)
312 : CASE (28)
313 0 : call LD3890(xx,yy,zz,ww,npts)
314 : CASE (29)
315 0 : call LD4334(xx,yy,zz,ww,npts)
316 : CASE (30)
317 0 : call LD4802(xx,yy,zz,ww,npts)
318 : CASE (31)
319 0 : call LD5294(xx,yy,zz,ww,npts)
320 : CASE (32)
321 0 : call LD5810(xx,yy,zz,ww,npts)
322 : CASE DEFAULT
323 6 : ABI_ERROR(sjoin("seq_idx ", itoa(seq_idx), "out of range"))
324 : END SELECT
325 :
326 6 : end subroutine build_lebedev_grid
327 : !!***
328 :
329 : !----------------------------------------------------------------------
330 :
331 : !!****f* m_lebedev/gen_oh
332 : !! NAME
333 : !! gen_oh
334 : !!
335 : !! FUNCTION
336 : !!
337 : !! INPUTS
338 : !!
339 : !! OUTPUT
340 : !!
341 : !! SOURCE
342 :
343 29 : subroutine gen_oh(code, num, x, y, z, w, a, b, v)
344 :
345 : implicit logical(a-z)
346 : double precision x(*),y(*),z(*),w(*)
347 : double precision a,b,v
348 : integer code
349 : integer num
350 : double precision c
351 : !chvd
352 : !chvd This subroutine is part of a set of subroutines that generate
353 : !chvd Lebedev grids [1-6] for integration on a sphere. The original
354 : !chvd C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
355 : !chvd translated into fortran by Dr. Christoph van Wuellen.
356 : !chvd This subroutine was translated from C to fortran77 by hand.
357 : !chvd
358 : !chvd Users of this code are asked to include reference [1] in their
359 : !chvd publications, and in the user- and programmers-manuals
360 : !chvd describing their codes.
361 : !chvd
362 : !chvd This code was distributed through CCL (http://www.ccl.net/).
363 : !chvd
364 : !chvd [1] V.I. Lebedev, and D.N. Laikov
365 : !chvd "A quadrature formula for the sphere of the 131st
366 : !chvd algebraic order of accuracy"
367 : !chvd Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481. [[cite:Lebedev1999]]
368 : !chvd
369 : !chvd [2] V.I. Lebedev
370 : !chvd "A quadrature formula for the sphere of 59th algebraic
371 : !chvd order of accuracy"
372 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286. [[cite:Lebedev1995]]
373 : !chvd
374 : !chvd [3] V.I. Lebedev, and A.L. Skorokhodov
375 : !chvd "Quadrature formulas of orders 41, 47, and 53 for the sphere"
376 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592. [[cite:Lebedev1992]]
377 : !chvd
378 : !chvd [4] V.I. Lebedev
379 : !chvd "Spherical quadrature formulas exact to orders 25-29"
380 : !chvd Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107. [[cite:Lebedev1977]]
381 : !chvd
382 : !chvd [5] V.I. Lebedev
383 : !chvd "Quadratures on a sphere"
384 : !chvd Computational Mathematics and Mathematical Physics, Vol. 16, 1976, pp. 10-24. [[cite:Lebedev1976]]
385 : !chvd
386 : !chvd [6] V.I. Lebedev
387 : !chvd "Values of the nodes and weights of ninth to seventeenth
388 : !chvd order Gauss-Markov quadrature formulae invariant under the
389 : !chvd octahedron group with inversion"
390 : !chvd Computational Mathematics and Mathematical Physics, Vol. 15, 1975, pp. 44-51. [[cite:Lebedev1975]]
391 : !chvd
392 : !cvw
393 : !cvw Given a point on a sphere (specified by a and b), generate all
394 : !cvw the equivalent points under Oh symmetry, making grid points with
395 : !cvw weight v.
396 : !cvw The variable num is increased by the number of different points
397 : !cvw generated.
398 : !cvw
399 : !cvw Depending on code, there are 6...48 different but equivalent
400 : !cvw points.
401 : !cvw
402 : !cvw code=1: (0,0,1) etc ( 6 points)
403 : !cvw code=2: (0,a,a) etc, a=1/sqrt(2) ( 12 points)
404 : !cvw code=3: (a,a,a) etc, a=1/sqrt(3) ( 8 points)
405 : !cvw code=4: (a,a,b) etc, b=sqrt(1-2 a^2) ( 24 points)
406 : !cvw code=5: (a,b,0) etc, b=sqrt(1-a^2), a input ( 24 points)
407 : !cvw code=6: (a,b,c) etc, c=sqrt(1-a^2-b^2), a/b input ( 48 points)
408 : !cvw
409 35 : select case(code)
410 : case(1)
411 6 : a=1.0d0
412 6 : x(1) = a
413 6 : y(1) = 0.0d0
414 6 : z(1) = 0.0d0
415 6 : w(1) = v
416 6 : x(2) = -a
417 6 : y(2) = 0.0d0
418 6 : z(2) = 0.0d0
419 6 : w(2) = v
420 6 : x(3) = 0.0d0
421 6 : y(3) = a
422 6 : z(3) = 0.0d0
423 6 : w(3) = v
424 6 : x(4) = 0.0d0
425 6 : y(4) = -a
426 6 : z(4) = 0.0d0
427 6 : w(4) = v
428 6 : x(5) = 0.0d0
429 6 : y(5) = 0.0d0
430 6 : z(5) = a
431 6 : w(5) = v
432 6 : x(6) = 0.0d0
433 6 : y(6) = 0.0d0
434 6 : z(6) = -a
435 6 : w(6) = v
436 6 : num=num+6
437 : !cvw
438 : case(2)
439 3 : a=sqrt(0.5d0)
440 3 : x( 1) = 0d0
441 3 : y( 1) = a
442 3 : z( 1) = a
443 3 : w( 1) = v
444 3 : x( 2) = 0d0
445 3 : y( 2) = -a
446 3 : z( 2) = a
447 3 : w( 2) = v
448 3 : x( 3) = 0d0
449 3 : y( 3) = a
450 3 : z( 3) = -a
451 3 : w( 3) = v
452 3 : x( 4) = 0d0
453 3 : y( 4) = -a
454 3 : z( 4) = -a
455 3 : w( 4) = v
456 3 : x( 5) = a
457 3 : y( 5) = 0d0
458 3 : z( 5) = a
459 3 : w( 5) = v
460 3 : x( 6) = -a
461 3 : y( 6) = 0d0
462 3 : z( 6) = a
463 3 : w( 6) = v
464 3 : x( 7) = a
465 3 : y( 7) = 0d0
466 3 : z( 7) = -a
467 3 : w( 7) = v
468 3 : x( 8) = -a
469 3 : y( 8) = 0d0
470 3 : z( 8) = -a
471 3 : w( 8) = v
472 3 : x( 9) = a
473 3 : y( 9) = a
474 3 : z( 9) = 0d0
475 3 : w( 9) = v
476 3 : x(10) = -a
477 3 : y(10) = a
478 3 : z(10) = 0d0
479 3 : w(10) = v
480 3 : x(11) = a
481 3 : y(11) = -a
482 3 : z(11) = 0d0
483 3 : w(11) = v
484 3 : x(12) = -a
485 3 : y(12) = -a
486 3 : z(12) = 0d0
487 3 : w(12) = v
488 3 : num=num+12
489 : !cvw
490 : case(3)
491 5 : a = sqrt(1d0/3d0)
492 5 : x(1) = a
493 5 : y(1) = a
494 5 : z(1) = a
495 5 : w(1) = v
496 5 : x(2) = -a
497 5 : y(2) = a
498 5 : z(2) = a
499 5 : w(2) = v
500 5 : x(3) = a
501 5 : y(3) = -a
502 5 : z(3) = a
503 5 : w(3) = v
504 5 : x(4) = -a
505 5 : y(4) = -a
506 5 : z(4) = a
507 5 : w(4) = v
508 5 : x(5) = a
509 5 : y(5) = a
510 5 : z(5) = -a
511 5 : w(5) = v
512 5 : x(6) = -a
513 5 : y(6) = a
514 5 : z(6) = -a
515 5 : w(6) = v
516 5 : x(7) = a
517 5 : y(7) = -a
518 5 : z(7) = -a
519 5 : w(7) = v
520 5 : x(8) = -a
521 5 : y(8) = -a
522 5 : z(8) = -a
523 5 : w(8) = v
524 5 : num=num+8
525 : !cvw
526 : case(4)
527 8 : b = sqrt(1d0 - 2d0*a*a)
528 8 : x( 1) = a
529 8 : y( 1) = a
530 8 : z( 1) = b
531 8 : w( 1) = v
532 8 : x( 2) = -a
533 8 : y( 2) = a
534 8 : z( 2) = b
535 8 : w( 2) = v
536 8 : x( 3) = a
537 8 : y( 3) = -a
538 8 : z( 3) = b
539 8 : w( 3) = v
540 8 : x( 4) = -a
541 8 : y( 4) = -a
542 8 : z( 4) = b
543 8 : w( 4) = v
544 8 : x( 5) = a
545 8 : y( 5) = a
546 8 : z( 5) = -b
547 8 : w( 5) = v
548 8 : x( 6) = -a
549 8 : y( 6) = a
550 8 : z( 6) = -b
551 8 : w( 6) = v
552 8 : x( 7) = a
553 8 : y( 7) = -a
554 8 : z( 7) = -b
555 8 : w( 7) = v
556 8 : x( 8) = -a
557 8 : y( 8) = -a
558 8 : z( 8) = -b
559 8 : w( 8) = v
560 8 : x( 9) = a
561 8 : y( 9) = b
562 8 : z( 9) = a
563 8 : w( 9) = v
564 8 : x(10) = -a
565 8 : y(10) = b
566 8 : z(10) = a
567 8 : w(10) = v
568 8 : x(11) = a
569 8 : y(11) = -b
570 8 : z(11) = a
571 8 : w(11) = v
572 8 : x(12) = -a
573 8 : y(12) = -b
574 8 : z(12) = a
575 8 : w(12) = v
576 8 : x(13) = a
577 8 : y(13) = b
578 8 : z(13) = -a
579 8 : w(13) = v
580 8 : x(14) = -a
581 8 : y(14) = b
582 8 : z(14) = -a
583 8 : w(14) = v
584 8 : x(15) = a
585 8 : y(15) = -b
586 8 : z(15) = -a
587 8 : w(15) = v
588 8 : x(16) = -a
589 8 : y(16) = -b
590 8 : z(16) = -a
591 8 : w(16) = v
592 8 : x(17) = b
593 8 : y(17) = a
594 8 : z(17) = a
595 8 : w(17) = v
596 8 : x(18) = -b
597 8 : y(18) = a
598 8 : z(18) = a
599 8 : w(18) = v
600 8 : x(19) = b
601 8 : y(19) = -a
602 8 : z(19) = a
603 8 : w(19) = v
604 8 : x(20) = -b
605 8 : y(20) = -a
606 8 : z(20) = a
607 8 : w(20) = v
608 8 : x(21) = b
609 8 : y(21) = a
610 8 : z(21) = -a
611 8 : w(21) = v
612 8 : x(22) = -b
613 8 : y(22) = a
614 8 : z(22) = -a
615 8 : w(22) = v
616 8 : x(23) = b
617 8 : y(23) = -a
618 8 : z(23) = -a
619 8 : w(23) = v
620 8 : x(24) = -b
621 8 : y(24) = -a
622 8 : z(24) = -a
623 8 : w(24) = v
624 8 : num=num+24
625 : !cvw
626 : case(5)
627 3 : b=sqrt(1d0-a*a)
628 3 : x( 1) = a
629 3 : y( 1) = b
630 3 : z( 1) = 0d0
631 3 : w( 1) = v
632 3 : x( 2) = -a
633 3 : y( 2) = b
634 3 : z( 2) = 0d0
635 3 : w( 2) = v
636 3 : x( 3) = a
637 3 : y( 3) = -b
638 3 : z( 3) = 0d0
639 3 : w( 3) = v
640 3 : x( 4) = -a
641 3 : y( 4) = -b
642 3 : z( 4) = 0d0
643 3 : w( 4) = v
644 3 : x( 5) = b
645 3 : y( 5) = a
646 3 : z( 5) = 0d0
647 3 : w( 5) = v
648 3 : x( 6) = -b
649 3 : y( 6) = a
650 3 : z( 6) = 0d0
651 3 : w( 6) = v
652 3 : x( 7) = b
653 3 : y( 7) = -a
654 3 : z( 7) = 0d0
655 3 : w( 7) = v
656 3 : x( 8) = -b
657 3 : y( 8) = -a
658 3 : z( 8) = 0d0
659 3 : w( 8) = v
660 3 : x( 9) = a
661 3 : y( 9) = 0d0
662 3 : z( 9) = b
663 3 : w( 9) = v
664 3 : x(10) = -a
665 3 : y(10) = 0d0
666 3 : z(10) = b
667 3 : w(10) = v
668 3 : x(11) = a
669 3 : y(11) = 0d0
670 3 : z(11) = -b
671 3 : w(11) = v
672 3 : x(12) = -a
673 3 : y(12) = 0d0
674 3 : z(12) = -b
675 3 : w(12) = v
676 3 : x(13) = b
677 3 : y(13) = 0d0
678 3 : z(13) = a
679 3 : w(13) = v
680 3 : x(14) = -b
681 3 : y(14) = 0d0
682 3 : z(14) = a
683 3 : w(14) = v
684 3 : x(15) = b
685 3 : y(15) = 0d0
686 3 : z(15) = -a
687 3 : w(15) = v
688 3 : x(16) = -b
689 3 : y(16) = 0d0
690 3 : z(16) = -a
691 3 : w(16) = v
692 3 : x(17) = 0d0
693 3 : y(17) = a
694 3 : z(17) = b
695 3 : w(17) = v
696 3 : x(18) = 0d0
697 3 : y(18) = -a
698 3 : z(18) = b
699 3 : w(18) = v
700 3 : x(19) = 0d0
701 3 : y(19) = a
702 3 : z(19) = -b
703 3 : w(19) = v
704 3 : x(20) = 0d0
705 3 : y(20) = -a
706 3 : z(20) = -b
707 3 : w(20) = v
708 3 : x(21) = 0d0
709 3 : y(21) = b
710 3 : z(21) = a
711 3 : w(21) = v
712 3 : x(22) = 0d0
713 3 : y(22) = -b
714 3 : z(22) = a
715 3 : w(22) = v
716 3 : x(23) = 0d0
717 3 : y(23) = b
718 3 : z(23) = -a
719 3 : w(23) = v
720 3 : x(24) = 0d0
721 3 : y(24) = -b
722 3 : z(24) = -a
723 3 : w(24) = v
724 3 : num=num+24
725 : !cvw
726 : case(6)
727 4 : c=sqrt(1d0 - a*a - b*b)
728 4 : x( 1) = a
729 4 : y( 1) = b
730 4 : z( 1) = c
731 4 : w( 1) = v
732 4 : x( 2) = -a
733 4 : y( 2) = b
734 4 : z( 2) = c
735 4 : w( 2) = v
736 4 : x( 3) = a
737 4 : y( 3) = -b
738 4 : z( 3) = c
739 4 : w( 3) = v
740 4 : x( 4) = -a
741 4 : y( 4) = -b
742 4 : z( 4) = c
743 4 : w( 4) = v
744 4 : x( 5) = a
745 4 : y( 5) = b
746 4 : z( 5) = -c
747 4 : w( 5) = v
748 4 : x( 6) = -a
749 4 : y( 6) = b
750 4 : z( 6) = -c
751 4 : w( 6) = v
752 4 : x( 7) = a
753 4 : y( 7) = -b
754 4 : z( 7) = -c
755 4 : w( 7) = v
756 4 : x( 8) = -a
757 4 : y( 8) = -b
758 4 : z( 8) = -c
759 4 : w( 8) = v
760 4 : x( 9) = a
761 4 : y( 9) = c
762 4 : z( 9) = b
763 4 : w( 9) = v
764 4 : x(10) = -a
765 4 : y(10) = c
766 4 : z(10) = b
767 4 : w(10) = v
768 4 : x(11) = a
769 4 : y(11) = -c
770 4 : z(11) = b
771 4 : w(11) = v
772 4 : x(12) = -a
773 4 : y(12) = -c
774 4 : z(12) = b
775 4 : w(12) = v
776 4 : x(13) = a
777 4 : y(13) = c
778 4 : z(13) = -b
779 4 : w(13) = v
780 4 : x(14) = -a
781 4 : y(14) = c
782 4 : z(14) = -b
783 4 : w(14) = v
784 4 : x(15) = a
785 4 : y(15) = -c
786 4 : z(15) = -b
787 4 : w(15) = v
788 4 : x(16) = -a
789 4 : y(16) = -c
790 4 : z(16) = -b
791 4 : w(16) = v
792 4 : x(17) = b
793 4 : y(17) = a
794 4 : z(17) = c
795 4 : w(17) = v
796 4 : x(18) = -b
797 4 : y(18) = a
798 4 : z(18) = c
799 4 : w(18) = v
800 4 : x(19) = b
801 4 : y(19) = -a
802 4 : z(19) = c
803 4 : w(19) = v
804 4 : x(20) = -b
805 4 : y(20) = -a
806 4 : z(20) = c
807 4 : w(20) = v
808 4 : x(21) = b
809 4 : y(21) = a
810 4 : z(21) = -c
811 4 : w(21) = v
812 4 : x(22) = -b
813 4 : y(22) = a
814 4 : z(22) = -c
815 4 : w(22) = v
816 4 : x(23) = b
817 4 : y(23) = -a
818 4 : z(23) = -c
819 4 : w(23) = v
820 4 : x(24) = -b
821 4 : y(24) = -a
822 4 : z(24) = -c
823 4 : w(24) = v
824 4 : x(25) = b
825 4 : y(25) = c
826 4 : z(25) = a
827 4 : w(25) = v
828 4 : x(26) = -b
829 4 : y(26) = c
830 4 : z(26) = a
831 4 : w(26) = v
832 4 : x(27) = b
833 4 : y(27) = -c
834 4 : z(27) = a
835 4 : w(27) = v
836 4 : x(28) = -b
837 4 : y(28) = -c
838 4 : z(28) = a
839 4 : w(28) = v
840 4 : x(29) = b
841 4 : y(29) = c
842 4 : z(29) = -a
843 4 : w(29) = v
844 4 : x(30) = -b
845 4 : y(30) = c
846 4 : z(30) = -a
847 4 : w(30) = v
848 4 : x(31) = b
849 4 : y(31) = -c
850 4 : z(31) = -a
851 4 : w(31) = v
852 4 : x(32) = -b
853 4 : y(32) = -c
854 4 : z(32) = -a
855 4 : w(32) = v
856 4 : x(33) = c
857 4 : y(33) = a
858 4 : z(33) = b
859 4 : w(33) = v
860 4 : x(34) = -c
861 4 : y(34) = a
862 4 : z(34) = b
863 4 : w(34) = v
864 4 : x(35) = c
865 4 : y(35) = -a
866 4 : z(35) = b
867 4 : w(35) = v
868 4 : x(36) = -c
869 4 : y(36) = -a
870 4 : z(36) = b
871 4 : w(36) = v
872 4 : x(37) = c
873 4 : y(37) = a
874 4 : z(37) = -b
875 4 : w(37) = v
876 4 : x(38) = -c
877 4 : y(38) = a
878 4 : z(38) = -b
879 4 : w(38) = v
880 4 : x(39) = c
881 4 : y(39) = -a
882 4 : z(39) = -b
883 4 : w(39) = v
884 4 : x(40) = -c
885 4 : y(40) = -a
886 4 : z(40) = -b
887 4 : w(40) = v
888 4 : x(41) = c
889 4 : y(41) = b
890 4 : z(41) = a
891 4 : w(41) = v
892 4 : x(42) = -c
893 4 : y(42) = b
894 4 : z(42) = a
895 4 : w(42) = v
896 4 : x(43) = c
897 4 : y(43) = -b
898 4 : z(43) = a
899 4 : w(43) = v
900 4 : x(44) = -c
901 4 : y(44) = -b
902 4 : z(44) = a
903 4 : w(44) = v
904 4 : x(45) = c
905 4 : y(45) = b
906 4 : z(45) = -a
907 4 : w(45) = v
908 4 : x(46) = -c
909 4 : y(46) = b
910 4 : z(46) = -a
911 4 : w(46) = v
912 4 : x(47) = c
913 4 : y(47) = -b
914 4 : z(47) = -a
915 4 : w(47) = v
916 4 : x(48) = -c
917 4 : y(48) = -b
918 4 : z(48) = -a
919 4 : w(48) = v
920 4 : num=num+48
921 : case default
922 0 : ABI_ERROR('Gen_Oh: Invalid Code')
923 29 : stop
924 : end select
925 29 : end subroutine gen_oh
926 : !!***
927 :
928 1 : SUBROUTINE LD0006(X,Y,Z,W,N)
929 :
930 : DOUBLE PRECISION X( 6)
931 : DOUBLE PRECISION Y( 6)
932 : DOUBLE PRECISION Z( 6)
933 : DOUBLE PRECISION W( 6)
934 : INTEGER N
935 : DOUBLE PRECISION A,B,V
936 : !CVW
937 : !CVW LEBEDEV 6-POINT ANGULAR GRID
938 : !CVW
939 : !chvd
940 : !chvd This subroutine is part of a set of subroutines that generate
941 : !chvd Lebedev grids [1-6] for integration on a sphere. The original
942 : !chvd C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
943 : !chvd translated into fortran by Dr. Christoph van Wuellen.
944 : !chvd This subroutine was translated using a C to fortran77 conversion
945 : !chvd tool written by Dr. Christoph van Wuellen.
946 : !chvd
947 : !chvd Users of this code are asked to include reference [1] in their
948 : !chvd publications, and in the user- and programmers-manuals
949 : !chvd describing their codes.
950 : !chvd
951 : !chvd This code was distributed through CCL (http://www.ccl.net/).
952 : !chvd
953 : !chvd [1] V.I. Lebedev, and D.N. Laikov
954 : !chvd "A quadrature formula for the sphere of the 131st
955 : !chvd algebraic order of accuracy"
956 : !chvd Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481. [[cite:Lebedev1999]]
957 : !chvd
958 : !chvd [2] V.I. Lebedev
959 : !chvd "A quadrature formula for the sphere of 59th algebraic
960 : !chvd order of accuracy"
961 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286. [[cite:Lebedev1995]]
962 : !chvd
963 : !chvd [3] V.I. Lebedev, and A.L. Skorokhodov
964 : !chvd "Quadrature formulas of orders 41, 47, and 53 for the sphere"
965 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592. [[cite:Lebedev1992]]
966 : !chvd
967 : !chvd [4] V.I. Lebedev
968 : !chvd "Spherical quadrature formulas exact to orders 25-29"
969 : !chvd Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107. [[cite:Lebedev1977]]
970 : !chvd
971 : !chvd [5] V.I. Lebedev
972 : !chvd "Quadratures on a sphere"
973 : !chvd Computational Mathematics and Mathematical Physics, Vol. 16, 1976, pp. 10-24. [[cite:Lebedev1976]]
974 : !chvd
975 : !chvd [6] V.I. Lebedev
976 : !chvd "Values of the nodes and weights of ninth to seventeenth
977 : !chvd order Gauss-Markov quadrature formulae invariant under the
978 : !chvd octahedron group with inversion"
979 : !chvd Computational Mathematics and Mathematical Physics, Vol. 15, 1975, pp. 44-51. [[cite:Lebedev1975]]
980 : !chvd
981 1 : N=1
982 1 : V=0.1666666666666667D+0
983 1 : Call GEN_OH( 1, N, X(N), Y(N), Z(N), W(N), A, B, V)
984 1 : N=N-1
985 1 : end subroutine LD0006
986 : !!***
987 :
988 1 : SUBROUTINE LD0014(X,Y,Z,W,N)
989 :
990 : DOUBLE PRECISION X( 14)
991 : DOUBLE PRECISION Y( 14)
992 : DOUBLE PRECISION Z( 14)
993 : DOUBLE PRECISION W( 14)
994 : INTEGER N
995 : DOUBLE PRECISION A,B,V
996 : !CVW
997 : !CVW LEBEDEV 14-POINT ANGULAR GRID
998 : !CVW
999 : !chvd
1000 : !chvd This subroutine is part of a set of subroutines that generate
1001 : !chvd Lebedev grids [1-6] for integration on a sphere. The original
1002 : !chvd C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
1003 : !chvd translated into fortran by Dr. Christoph van Wuellen.
1004 : !chvd This subroutine was translated using a C to fortran77 conversion
1005 : !chvd tool written by Dr. Christoph van Wuellen.
1006 : !chvd
1007 : !chvd Users of this code are asked to include reference [1] in their
1008 : !chvd publications, and in the user- and programmers-manuals
1009 : !chvd describing their codes.
1010 : !chvd
1011 : !chvd This code was distributed through CCL (http://www.ccl.net/).
1012 : !chvd
1013 : !chvd [1] V.I. Lebedev, and D.N. Laikov
1014 : !chvd "A quadrature formula for the sphere of the 131st
1015 : !chvd algebraic order of accuracy"
1016 : !chvd Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481. [[cite:Lebedev1999]]
1017 : !chvd
1018 : !chvd [2] V.I. Lebedev
1019 : !chvd "A quadrature formula for the sphere of 59th algebraic
1020 : !chvd order of accuracy"
1021 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286. [[cite:Lebedev1995]]
1022 : !chvd
1023 : !chvd [3] V.I. Lebedev, and A.L. Skorokhodov
1024 : !chvd "Quadrature formulas of orders 41, 47, and 53 for the sphere"
1025 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592. [[cite:Lebedev1992]]
1026 : !chvd
1027 : !chvd [4] V.I. Lebedev
1028 : !chvd "Spherical quadrature formulas exact to orders 25-29"
1029 : !chvd Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107. [[cite:Lebedev1977]]
1030 : !chvd
1031 : !chvd [5] V.I. Lebedev
1032 : !chvd "Quadratures on a sphere"
1033 : !chvd Computational Mathematics and Mathematical Physics, Vol. 16, 1976, pp. 10-24. [[cite:Lebedev1976]]
1034 : !chvd
1035 : !chvd [6] V.I. Lebedev
1036 : !chvd "Values of the nodes and weights of ninth to seventeenth
1037 : !chvd order Gauss-Markov quadrature formulae invariant under the
1038 : !chvd octahedron group with inversion"
1039 : !chvd Computational Mathematics and Mathematical Physics, Vol. 15, 1975, pp. 44-51. [[cite:Lebedev1975]]
1040 : !chvd
1041 1 : N=1
1042 1 : V=0.6666666666666667D-1
1043 1 : Call GEN_OH( 1, N, X(N), Y(N), Z(N), W(N), A, B, V)
1044 1 : V=0.7500000000000000D-1
1045 1 : Call GEN_OH( 3, N, X(N), Y(N), Z(N), W(N), A, B, V)
1046 1 : N=N-1
1047 1 : end subroutine LD0014
1048 : !!***
1049 :
1050 1 : SUBROUTINE LD0026(X,Y,Z,W,N)
1051 :
1052 : DOUBLE PRECISION X( 26)
1053 : DOUBLE PRECISION Y( 26)
1054 : DOUBLE PRECISION Z( 26)
1055 : DOUBLE PRECISION W( 26)
1056 : INTEGER N
1057 : DOUBLE PRECISION A,B,V
1058 : !CVW
1059 : !CVW LEBEDEV 26-POINT ANGULAR GRID
1060 : !CVW
1061 : !chvd
1062 : !chvd This subroutine is part of a set of subroutines that generate
1063 : !chvd Lebedev grids [1-6] for integration on a sphere. The original
1064 : !chvd C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
1065 : !chvd translated into fortran by Dr. Christoph van Wuellen.
1066 : !chvd This subroutine was translated using a C to fortran77 conversion
1067 : !chvd tool written by Dr. Christoph van Wuellen.
1068 : !chvd
1069 : !chvd Users of this code are asked to include reference [1] in their
1070 : !chvd publications, and in the user- and programmers-manuals
1071 : !chvd describing their codes.
1072 : !chvd
1073 : !chvd This code was distributed through CCL (http://www.ccl.net/).
1074 : !chvd
1075 : !chvd [1] V.I. Lebedev, and D.N. Laikov
1076 : !chvd "A quadrature formula for the sphere of the 131st
1077 : !chvd algebraic order of accuracy"
1078 : !chvd Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481. [[cite:Lebedev1999]]
1079 : !chvd
1080 : !chvd [2] V.I. Lebedev
1081 : !chvd "A quadrature formula for the sphere of 59th algebraic
1082 : !chvd order of accuracy"
1083 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286. [[cite:Lebedev1995]]
1084 : !chvd
1085 : !chvd [3] V.I. Lebedev, and A.L. Skorokhodov
1086 : !chvd "Quadrature formulas of orders 41, 47, and 53 for the sphere"
1087 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592. [[cite:Lebedev1992]]
1088 : !chvd
1089 : !chvd [4] V.I. Lebedev
1090 : !chvd "Spherical quadrature formulas exact to orders 25-29"
1091 : !chvd Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107. [[cite:Lebedev1977]]
1092 : !chvd
1093 : !chvd [5] V.I. Lebedev
1094 : !chvd "Quadratures on a sphere"
1095 : !chvd Computational Mathematics and Mathematical Physics, Vol. 16, 1976, pp. 10-24. [[cite:Lebedev1976]]
1096 : !chvd
1097 : !chvd [6] V.I. Lebedev
1098 : !chvd "Values of the nodes and weights of ninth to seventeenth
1099 : !chvd order Gauss-Markov quadrature formulae invariant under the
1100 : !chvd octahedron group with inversion"
1101 : !chvd Computational Mathematics and Mathematical Physics, Vol. 15, 1975, pp. 44-51. [[cite:Lebedev1975]]
1102 : !chvd
1103 1 : N=1
1104 1 : V=0.4761904761904762D-1
1105 1 : Call GEN_OH( 1, N, X(N), Y(N), Z(N), W(N), A, B, V)
1106 1 : V=0.3809523809523810D-1
1107 1 : Call GEN_OH( 2, N, X(N), Y(N), Z(N), W(N), A, B, V)
1108 1 : V=0.3214285714285714D-1
1109 1 : Call GEN_OH( 3, N, X(N), Y(N), Z(N), W(N), A, B, V)
1110 1 : N=N-1
1111 1 : end subroutine LD0026
1112 : !!***
1113 :
1114 1 : SUBROUTINE LD0038(X,Y,Z,W,N)
1115 :
1116 : DOUBLE PRECISION X( 38)
1117 : DOUBLE PRECISION Y( 38)
1118 : DOUBLE PRECISION Z( 38)
1119 : DOUBLE PRECISION W( 38)
1120 : INTEGER N
1121 : DOUBLE PRECISION A,B,V
1122 : !CVW
1123 : !CVW LEBEDEV 38-POINT ANGULAR GRID
1124 : !CVW
1125 : !chvd
1126 : !chvd This subroutine is part of a set of subroutines that generate
1127 : !chvd Lebedev grids [1-6] for integration on a sphere. The original
1128 : !chvd C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
1129 : !chvd translated into fortran by Dr. Christoph van Wuellen.
1130 : !chvd This subroutine was translated using a C to fortran77 conversion
1131 : !chvd tool written by Dr. Christoph van Wuellen.
1132 : !chvd
1133 : !chvd Users of this code are asked to include reference [1] in their
1134 : !chvd publications, and in the user- and programmers-manuals
1135 : !chvd describing their codes.
1136 : !chvd
1137 : !chvd This code was distributed through CCL (http://www.ccl.net/).
1138 : !chvd
1139 : !chvd [1] V.I. Lebedev, and D.N. Laikov
1140 : !chvd "A quadrature formula for the sphere of the 131st
1141 : !chvd algebraic order of accuracy"
1142 : !chvd Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481. [[cite:Lebedev1999]]
1143 : !chvd
1144 : !chvd [2] V.I. Lebedev
1145 : !chvd "A quadrature formula for the sphere of 59th algebraic
1146 : !chvd order of accuracy"
1147 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286. [[cite:Lebedev1995]]
1148 : !chvd
1149 : !chvd [3] V.I. Lebedev, and A.L. Skorokhodov
1150 : !chvd "Quadrature formulas of orders 41, 47, and 53 for the sphere"
1151 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592. [[cite:Lebedev1992]]
1152 : !chvd
1153 : !chvd [4] V.I. Lebedev
1154 : !chvd "Spherical quadrature formulas exact to orders 25-29"
1155 : !chvd Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107. [[cite:Lebedev1977]]
1156 : !chvd
1157 : !chvd [5] V.I. Lebedev
1158 : !chvd "Quadratures on a sphere"
1159 : !chvd Computational Mathematics and Mathematical Physics, Vol. 16, 1976, pp. 10-24. [[cite:Lebedev1976]]
1160 : !chvd
1161 : !chvd [6] V.I. Lebedev
1162 : !chvd "Values of the nodes and weights of ninth to seventeenth
1163 : !chvd order Gauss-Markov quadrature formulae invariant under the
1164 : !chvd octahedron group with inversion"
1165 : !chvd Computational Mathematics and Mathematical Physics, Vol. 15, 1975, pp. 44-51. [[cite:Lebedev1975]]
1166 : !chvd
1167 1 : N=1
1168 1 : V=0.9523809523809524D-2
1169 1 : Call GEN_OH( 1, N, X(N), Y(N), Z(N), W(N), A, B, V)
1170 1 : V=0.3214285714285714D-1
1171 1 : Call GEN_OH( 3, N, X(N), Y(N), Z(N), W(N), A, B, V)
1172 1 : A=0.4597008433809831D+0
1173 1 : V=0.2857142857142857D-1
1174 1 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
1175 1 : N=N-1
1176 1 : end subroutine LD0038
1177 : !!***
1178 :
1179 1 : SUBROUTINE LD0050(X,Y,Z,W,N)
1180 :
1181 : DOUBLE PRECISION X( 50)
1182 : DOUBLE PRECISION Y( 50)
1183 : DOUBLE PRECISION Z( 50)
1184 : DOUBLE PRECISION W( 50)
1185 : INTEGER N
1186 : DOUBLE PRECISION A,B,V
1187 : !CVW
1188 : !CVW LEBEDEV 50-POINT ANGULAR GRID
1189 : !CVW
1190 : !chvd
1191 : !chvd This subroutine is part of a set of subroutines that generate
1192 : !chvd Lebedev grids [1-6] for integration on a sphere. The original
1193 : !chvd C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
1194 : !chvd translated into fortran by Dr. Christoph van Wuellen.
1195 : !chvd This subroutine was translated using a C to fortran77 conversion
1196 : !chvd tool written by Dr. Christoph van Wuellen.
1197 : !chvd
1198 : !chvd Users of this code are asked to include reference [1] in their
1199 : !chvd publications, and in the user- and programmers-manuals
1200 : !chvd describing their codes.
1201 : !chvd
1202 : !chvd This code was distributed through CCL (http://www.ccl.net/).
1203 : !chvd
1204 : !chvd [1] V.I. Lebedev, and D.N. Laikov
1205 : !chvd "A quadrature formula for the sphere of the 131st
1206 : !chvd algebraic order of accuracy"
1207 : !chvd Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481. [[cite:Lebedev1999]]
1208 : !chvd
1209 : !chvd [2] V.I. Lebedev
1210 : !chvd "A quadrature formula for the sphere of 59th algebraic
1211 : !chvd order of accuracy"
1212 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286. [[cite:Lebedev1995]]
1213 : !chvd
1214 : !chvd [3] V.I. Lebedev, and A.L. Skorokhodov
1215 : !chvd "Quadrature formulas of orders 41, 47, and 53 for the sphere"
1216 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592. [[cite:Lebedev1992]]
1217 : !chvd
1218 : !chvd [4] V.I. Lebedev
1219 : !chvd "Spherical quadrature formulas exact to orders 25-29"
1220 : !chvd Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107. [[cite:Lebedev1977]]
1221 : !chvd
1222 : !chvd [5] V.I. Lebedev
1223 : !chvd "Quadratures on a sphere"
1224 : !chvd Computational Mathematics and Mathematical Physics, Vol. 16, 1976, pp. 10-24. [[cite:Lebedev1976]]
1225 : !chvd
1226 : !chvd [6] V.I. Lebedev
1227 : !chvd "Values of the nodes and weights of ninth to seventeenth
1228 : !chvd order Gauss-Markov quadrature formulae invariant under the
1229 : !chvd octahedron group with inversion"
1230 : !chvd Computational Mathematics and Mathematical Physics, Vol. 15, 1975, pp. 44-51. [[cite:Lebedev1975]]
1231 : !chvd
1232 1 : N=1
1233 1 : V=0.1269841269841270D-1
1234 1 : Call GEN_OH( 1, N, X(N), Y(N), Z(N), W(N), A, B, V)
1235 1 : V=0.2257495590828924D-1
1236 1 : Call GEN_OH( 2, N, X(N), Y(N), Z(N), W(N), A, B, V)
1237 1 : V=0.2109375000000000D-1
1238 1 : Call GEN_OH( 3, N, X(N), Y(N), Z(N), W(N), A, B, V)
1239 1 : A=0.3015113445777636D+0
1240 1 : V=0.2017333553791887D-1
1241 1 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
1242 1 : N=N-1
1243 1 : end subroutine LD0050
1244 : !!***
1245 :
1246 0 : SUBROUTINE LD0074(X,Y,Z,W,N)
1247 :
1248 : DOUBLE PRECISION X( 74)
1249 : DOUBLE PRECISION Y( 74)
1250 : DOUBLE PRECISION Z( 74)
1251 : DOUBLE PRECISION W( 74)
1252 : INTEGER N
1253 : DOUBLE PRECISION A,B,V
1254 : !CVW
1255 : !CVW LEBEDEV 74-POINT ANGULAR GRID
1256 : !CVW
1257 : !chvd
1258 : !chvd This subroutine is part of a set of subroutines that generate
1259 : !chvd Lebedev grids [1-6] for integration on a sphere. The original
1260 : !chvd C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
1261 : !chvd translated into fortran by Dr. Christoph van Wuellen.
1262 : !chvd This subroutine was translated using a C to fortran77 conversion
1263 : !chvd tool written by Dr. Christoph van Wuellen.
1264 : !chvd
1265 : !chvd Users of this code are asked to include reference [1] in their
1266 : !chvd publications, and in the user- and programmers-manuals
1267 : !chvd describing their codes.
1268 : !chvd
1269 : !chvd This code was distributed through CCL (http://www.ccl.net/).
1270 : !chvd
1271 : !chvd [1] V.I. Lebedev, and D.N. Laikov
1272 : !chvd "A quadrature formula for the sphere of the 131st
1273 : !chvd algebraic order of accuracy"
1274 : !chvd Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481. [[cite:Lebedev1999]]
1275 : !chvd
1276 : !chvd [2] V.I. Lebedev
1277 : !chvd "A quadrature formula for the sphere of 59th algebraic
1278 : !chvd order of accuracy"
1279 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286. [[cite:Lebedev1995]]
1280 : !chvd
1281 : !chvd [3] V.I. Lebedev, and A.L. Skorokhodov
1282 : !chvd "Quadrature formulas of orders 41, 47, and 53 for the sphere"
1283 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592. [[cite:Lebedev1992]]
1284 : !chvd
1285 : !chvd [4] V.I. Lebedev
1286 : !chvd "Spherical quadrature formulas exact to orders 25-29"
1287 : !chvd Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107. [[cite:Lebedev1977]]
1288 : !chvd
1289 : !chvd [5] V.I. Lebedev
1290 : !chvd "Quadratures on a sphere"
1291 : !chvd Computational Mathematics and Mathematical Physics, Vol. 16, 1976, pp. 10-24. [[cite:Lebedev1976]]
1292 : !chvd
1293 : !chvd [6] V.I. Lebedev
1294 : !chvd "Values of the nodes and weights of ninth to seventeenth
1295 : !chvd order Gauss-Markov quadrature formulae invariant under the
1296 : !chvd octahedron group with inversion"
1297 : !chvd Computational Mathematics and Mathematical Physics, Vol. 15, 1975, pp. 44-51. [[cite:Lebedev1975]]
1298 : !chvd
1299 0 : N=1
1300 0 : V=0.5130671797338464D-3
1301 0 : Call GEN_OH( 1, N, X(N), Y(N), Z(N), W(N), A, B, V)
1302 0 : V=0.1660406956574204D-1
1303 0 : Call GEN_OH( 2, N, X(N), Y(N), Z(N), W(N), A, B, V)
1304 0 : V=-0.2958603896103896D-1
1305 0 : Call GEN_OH( 3, N, X(N), Y(N), Z(N), W(N), A, B, V)
1306 0 : A=0.4803844614152614D+0
1307 0 : V=0.2657620708215946D-1
1308 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
1309 0 : A=0.3207726489807764D+0
1310 0 : V=0.1652217099371571D-1
1311 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
1312 0 : N=N-1
1313 0 : end subroutine LD0074
1314 : !!***
1315 :
1316 0 : SUBROUTINE LD0086(X,Y,Z,W,N)
1317 :
1318 : DOUBLE PRECISION X( 86)
1319 : DOUBLE PRECISION Y( 86)
1320 : DOUBLE PRECISION Z( 86)
1321 : DOUBLE PRECISION W( 86)
1322 : INTEGER N
1323 : DOUBLE PRECISION A,B,V
1324 : !CVW
1325 : !CVW LEBEDEV 86-POINT ANGULAR GRID
1326 : !CVW
1327 : !chvd
1328 : !chvd This subroutine is part of a set of subroutines that generate
1329 : !chvd Lebedev grids [1-6] for integration on a sphere. The original
1330 : !chvd C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
1331 : !chvd translated into fortran by Dr. Christoph van Wuellen.
1332 : !chvd This subroutine was translated using a C to fortran77 conversion
1333 : !chvd tool written by Dr. Christoph van Wuellen.
1334 : !chvd
1335 : !chvd Users of this code are asked to include reference [1] in their
1336 : !chvd publications, and in the user- and programmers-manuals
1337 : !chvd describing their codes.
1338 : !chvd
1339 : !chvd This code was distributed through CCL (http://www.ccl.net/).
1340 : !chvd
1341 : !chvd [1] V.I. Lebedev, and D.N. Laikov
1342 : !chvd "A quadrature formula for the sphere of the 131st
1343 : !chvd algebraic order of accuracy"
1344 : !chvd Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481. [[cite:Lebedev1999]]
1345 : !chvd
1346 : !chvd [2] V.I. Lebedev
1347 : !chvd "A quadrature formula for the sphere of 59th algebraic
1348 : !chvd order of accuracy"
1349 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286. [[cite:Lebedev1995]]
1350 : !chvd
1351 : !chvd [3] V.I. Lebedev, and A.L. Skorokhodov
1352 : !chvd "Quadrature formulas of orders 41, 47, and 53 for the sphere"
1353 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592. [[cite:Lebedev1992]]
1354 : !chvd
1355 : !chvd [4] V.I. Lebedev
1356 : !chvd "Spherical quadrature formulas exact to orders 25-29"
1357 : !chvd Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107. [[cite:Lebedev1977]]
1358 : !chvd
1359 : !chvd [5] V.I. Lebedev
1360 : !chvd "Quadratures on a sphere"
1361 : !chvd Computational Mathematics and Mathematical Physics, Vol. 16, 1976, pp. 10-24. [[cite:Lebedev1976]]
1362 : !chvd
1363 : !chvd [6] V.I. Lebedev
1364 : !chvd "Values of the nodes and weights of ninth to seventeenth
1365 : !chvd order Gauss-Markov quadrature formulae invariant under the
1366 : !chvd octahedron group with inversion"
1367 : !chvd Computational Mathematics and Mathematical Physics, Vol. 15, 1975, pp. 44-51. [[cite:Lebedev1975]]
1368 : !chvd
1369 0 : N=1
1370 0 : V=0.1154401154401154D-1
1371 0 : Call GEN_OH( 1, N, X(N), Y(N), Z(N), W(N), A, B, V)
1372 0 : V=0.1194390908585628D-1
1373 0 : Call GEN_OH( 3, N, X(N), Y(N), Z(N), W(N), A, B, V)
1374 0 : A=0.3696028464541502D+0
1375 0 : V=0.1111055571060340D-1
1376 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
1377 0 : A=0.6943540066026664D+0
1378 0 : V=0.1187650129453714D-1
1379 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
1380 0 : A=0.3742430390903412D+0
1381 0 : V=0.1181230374690448D-1
1382 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
1383 0 : N=N-1
1384 0 : end subroutine LD0086
1385 : !!***
1386 :
1387 0 : SUBROUTINE LD0110(X,Y,Z,W,N)
1388 :
1389 : DOUBLE PRECISION X( 110)
1390 : DOUBLE PRECISION Y( 110)
1391 : DOUBLE PRECISION Z( 110)
1392 : DOUBLE PRECISION W( 110)
1393 : INTEGER N
1394 : DOUBLE PRECISION A,B,V
1395 : !CVW
1396 : !CVW LEBEDEV 110-POINT ANGULAR GRID
1397 : !CVW
1398 : !chvd
1399 : !chvd This subroutine is part of a set of subroutines that generate
1400 : !chvd Lebedev grids [1-6] for integration on a sphere. The original
1401 : !chvd C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
1402 : !chvd translated into fortran by Dr. Christoph van Wuellen.
1403 : !chvd This subroutine was translated using a C to fortran77 conversion
1404 : !chvd tool written by Dr. Christoph van Wuellen.
1405 : !chvd
1406 : !chvd Users of this code are asked to include reference [1] in their
1407 : !chvd publications, and in the user- and programmers-manuals
1408 : !chvd describing their codes.
1409 : !chvd
1410 : !chvd This code was distributed through CCL (http://www.ccl.net/).
1411 : !chvd
1412 : !chvd [1] V.I. Lebedev, and D.N. Laikov
1413 : !chvd "A quadrature formula for the sphere of the 131st
1414 : !chvd algebraic order of accuracy"
1415 : !chvd Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481. [[cite:Lebedev1999]]
1416 : !chvd
1417 : !chvd [2] V.I. Lebedev
1418 : !chvd "A quadrature formula for the sphere of 59th algebraic
1419 : !chvd order of accuracy"
1420 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286. [[cite:Lebedev1995]]
1421 : !chvd
1422 : !chvd [3] V.I. Lebedev, and A.L. Skorokhodov
1423 : !chvd "Quadrature formulas of orders 41, 47, and 53 for the sphere"
1424 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592. [[cite:Lebedev1992]]
1425 : !chvd
1426 : !chvd [4] V.I. Lebedev
1427 : !chvd "Spherical quadrature formulas exact to orders 25-29"
1428 : !chvd Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107. [[cite:Lebedev1977]]
1429 : !chvd
1430 : !chvd [5] V.I. Lebedev
1431 : !chvd "Quadratures on a sphere"
1432 : !chvd Computational Mathematics and Mathematical Physics, Vol. 16, 1976, pp. 10-24. [[cite:Lebedev1976]]
1433 : !chvd
1434 : !chvd [6] V.I. Lebedev
1435 : !chvd "Values of the nodes and weights of ninth to seventeenth
1436 : !chvd order Gauss-Markov quadrature formulae invariant under the
1437 : !chvd octahedron group with inversion"
1438 : !chvd Computational Mathematics and Mathematical Physics, Vol. 15, 1975, pp. 44-51. [[cite:Lebedev1975]]
1439 : !chvd
1440 0 : N=1
1441 0 : V=0.3828270494937162D-2
1442 0 : Call GEN_OH( 1, N, X(N), Y(N), Z(N), W(N), A, B, V)
1443 0 : V=0.9793737512487512D-2
1444 0 : Call GEN_OH( 3, N, X(N), Y(N), Z(N), W(N), A, B, V)
1445 0 : A=0.1851156353447362D+0
1446 0 : V=0.8211737283191111D-2
1447 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
1448 0 : A=0.6904210483822922D+0
1449 0 : V=0.9942814891178103D-2
1450 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
1451 0 : A=0.3956894730559419D+0
1452 0 : V=0.9595471336070963D-2
1453 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
1454 0 : A=0.4783690288121502D+0
1455 0 : V=0.9694996361663028D-2
1456 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
1457 0 : N=N-1
1458 0 : end subroutine LD0110
1459 : !!***
1460 :
1461 0 : SUBROUTINE LD0146(X,Y,Z,W,N)
1462 :
1463 : DOUBLE PRECISION X( 146)
1464 : DOUBLE PRECISION Y( 146)
1465 : DOUBLE PRECISION Z( 146)
1466 : DOUBLE PRECISION W( 146)
1467 : INTEGER N
1468 : DOUBLE PRECISION A,B,V
1469 : !CVW
1470 : !CVW LEBEDEV 146-POINT ANGULAR GRID
1471 : !CVW
1472 : !chvd
1473 : !chvd This subroutine is part of a set of subroutines that generate
1474 : !chvd Lebedev grids [1-6] for integration on a sphere. The original
1475 : !chvd C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
1476 : !chvd translated into fortran by Dr. Christoph van Wuellen.
1477 : !chvd This subroutine was translated using a C to fortran77 conversion
1478 : !chvd tool written by Dr. Christoph van Wuellen.
1479 : !chvd
1480 : !chvd Users of this code are asked to include reference [1] in their
1481 : !chvd publications, and in the user- and programmers-manuals
1482 : !chvd describing their codes.
1483 : !chvd
1484 : !chvd This code was distributed through CCL (http://www.ccl.net/).
1485 : !chvd
1486 : !chvd [1] V.I. Lebedev, and D.N. Laikov
1487 : !chvd "A quadrature formula for the sphere of the 131st
1488 : !chvd algebraic order of accuracy"
1489 : !chvd Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481. [[cite:Lebedev1999]]
1490 : !chvd
1491 : !chvd [2] V.I. Lebedev
1492 : !chvd "A quadrature formula for the sphere of 59th algebraic
1493 : !chvd order of accuracy"
1494 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286. [[cite:Lebedev1995]]
1495 : !chvd
1496 : !chvd [3] V.I. Lebedev, and A.L. Skorokhodov
1497 : !chvd "Quadrature formulas of orders 41, 47, and 53 for the sphere"
1498 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592. [[cite:Lebedev1992]]
1499 : !chvd
1500 : !chvd [4] V.I. Lebedev
1501 : !chvd "Spherical quadrature formulas exact to orders 25-29"
1502 : !chvd Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107. [[cite:Lebedev1977]]
1503 : !chvd
1504 : !chvd [5] V.I. Lebedev
1505 : !chvd "Quadratures on a sphere"
1506 : !chvd Computational Mathematics and Mathematical Physics, Vol. 16, 1976, pp. 10-24. [[cite:Lebedev1976]]
1507 : !chvd
1508 : !chvd [6] V.I. Lebedev
1509 : !chvd "Values of the nodes and weights of ninth to seventeenth
1510 : !chvd order Gauss-Markov quadrature formulae invariant under the
1511 : !chvd octahedron group with inversion"
1512 : !chvd Computational Mathematics and Mathematical Physics, Vol. 15, 1975, pp. 44-51. [[cite:Lebedev1975]]
1513 : !chvd
1514 0 : N=1
1515 0 : V=0.5996313688621381D-3
1516 0 : Call GEN_OH( 1, N, X(N), Y(N), Z(N), W(N), A, B, V)
1517 0 : V=0.7372999718620756D-2
1518 0 : Call GEN_OH( 2, N, X(N), Y(N), Z(N), W(N), A, B, V)
1519 0 : V=0.7210515360144488D-2
1520 0 : Call GEN_OH( 3, N, X(N), Y(N), Z(N), W(N), A, B, V)
1521 0 : A=0.6764410400114264D+0
1522 0 : V=0.7116355493117555D-2
1523 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
1524 0 : A=0.4174961227965453D+0
1525 0 : V=0.6753829486314477D-2
1526 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
1527 0 : A=0.1574676672039082D+0
1528 0 : V=0.7574394159054034D-2
1529 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
1530 0 : A=0.1403553811713183D+0
1531 0 : B=0.4493328323269557D+0
1532 0 : V=0.6991087353303262D-2
1533 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
1534 0 : N=N-1
1535 0 : end subroutine LD0146
1536 : !!***
1537 :
1538 0 : SUBROUTINE LD0170(X,Y,Z,W,N)
1539 :
1540 : DOUBLE PRECISION X( 170)
1541 : DOUBLE PRECISION Y( 170)
1542 : DOUBLE PRECISION Z( 170)
1543 : DOUBLE PRECISION W( 170)
1544 : INTEGER N
1545 : DOUBLE PRECISION A,B,V
1546 : !CVW
1547 : !CVW LEBEDEV 170-POINT ANGULAR GRID
1548 : !CVW
1549 : !chvd
1550 : !chvd This subroutine is part of a set of subroutines that generate
1551 : !chvd Lebedev grids [1-6] for integration on a sphere. The original
1552 : !chvd C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
1553 : !chvd translated into fortran by Dr. Christoph van Wuellen.
1554 : !chvd This subroutine was translated using a C to fortran77 conversion
1555 : !chvd tool written by Dr. Christoph van Wuellen.
1556 : !chvd
1557 : !chvd Users of this code are asked to include reference [1] in their
1558 : !chvd publications, and in the user- and programmers-manuals
1559 : !chvd describing their codes.
1560 : !chvd
1561 : !chvd This code was distributed through CCL (http://www.ccl.net/).
1562 : !chvd
1563 : !chvd [1] V.I. Lebedev, and D.N. Laikov
1564 : !chvd "A quadrature formula for the sphere of the 131st
1565 : !chvd algebraic order of accuracy"
1566 : !chvd Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481. [[cite:Lebedev1999]]
1567 : !chvd
1568 : !chvd [2] V.I. Lebedev
1569 : !chvd "A quadrature formula for the sphere of 59th algebraic
1570 : !chvd order of accuracy"
1571 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286. [[cite:Lebedev1995]]
1572 : !chvd
1573 : !chvd [3] V.I. Lebedev, and A.L. Skorokhodov
1574 : !chvd "Quadrature formulas of orders 41, 47, and 53 for the sphere"
1575 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592. [[cite:Lebedev1992]]
1576 : !chvd
1577 : !chvd [4] V.I. Lebedev
1578 : !chvd "Spherical quadrature formulas exact to orders 25-29"
1579 : !chvd Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107. [[cite:Lebedev1977]]
1580 : !chvd
1581 : !chvd [5] V.I. Lebedev
1582 : !chvd "Quadratures on a sphere"
1583 : !chvd Computational Mathematics and Mathematical Physics, Vol. 16, 1976, pp. 10-24. [[cite:Lebedev1976]]
1584 : !chvd
1585 : !chvd [6] V.I. Lebedev
1586 : !chvd "Values of the nodes and weights of ninth to seventeenth
1587 : !chvd order Gauss-Markov quadrature formulae invariant under the
1588 : !chvd octahedron group with inversion"
1589 : !chvd Computational Mathematics and Mathematical Physics, Vol. 15, 1975, pp. 44-51. [[cite:Lebedev1975]]
1590 : !chvd
1591 0 : N=1
1592 0 : V=0.5544842902037365D-2
1593 0 : Call GEN_OH( 1, N, X(N), Y(N), Z(N), W(N), A, B, V)
1594 0 : V=0.6071332770670752D-2
1595 0 : Call GEN_OH( 2, N, X(N), Y(N), Z(N), W(N), A, B, V)
1596 0 : V=0.6383674773515093D-2
1597 0 : Call GEN_OH( 3, N, X(N), Y(N), Z(N), W(N), A, B, V)
1598 0 : A=0.2551252621114134D+0
1599 0 : V=0.5183387587747790D-2
1600 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
1601 0 : A=0.6743601460362766D+0
1602 0 : V=0.6317929009813725D-2
1603 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
1604 0 : A=0.4318910696719410D+0
1605 0 : V=0.6201670006589077D-2
1606 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
1607 0 : A=0.2613931360335988D+0
1608 0 : V=0.5477143385137348D-2
1609 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
1610 0 : A=0.4990453161796037D+0
1611 0 : B=0.1446630744325115D+0
1612 0 : V=0.5968383987681156D-2
1613 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
1614 0 : N=N-1
1615 0 : end subroutine LD0170
1616 : !!***
1617 :
1618 0 : SUBROUTINE LD0194(X,Y,Z,W,N)
1619 :
1620 : DOUBLE PRECISION X( 194)
1621 : DOUBLE PRECISION Y( 194)
1622 : DOUBLE PRECISION Z( 194)
1623 : DOUBLE PRECISION W( 194)
1624 : INTEGER N
1625 : DOUBLE PRECISION A,B,V
1626 : !CVW
1627 : !CVW LEBEDEV 194-POINT ANGULAR GRID
1628 : !CVW
1629 : !chvd
1630 : !chvd This subroutine is part of a set of subroutines that generate
1631 : !chvd Lebedev grids [1-6] for integration on a sphere. The original
1632 : !chvd C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
1633 : !chvd translated into fortran by Dr. Christoph van Wuellen.
1634 : !chvd This subroutine was translated using a C to fortran77 conversion
1635 : !chvd tool written by Dr. Christoph van Wuellen.
1636 : !chvd
1637 : !chvd Users of this code are asked to include reference [1] in their
1638 : !chvd publications, and in the user- and programmers-manuals
1639 : !chvd describing their codes.
1640 : !chvd
1641 : !chvd This code was distributed through CCL (http://www.ccl.net/).
1642 : !chvd
1643 : !chvd [1] V.I. Lebedev, and D.N. Laikov
1644 : !chvd "A quadrature formula for the sphere of the 131st
1645 : !chvd algebraic order of accuracy"
1646 : !chvd Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481. [[cite:Lebedev1999]]
1647 : !chvd
1648 : !chvd [2] V.I. Lebedev
1649 : !chvd "A quadrature formula for the sphere of 59th algebraic
1650 : !chvd order of accuracy"
1651 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286. [[cite:Lebedev1995]]
1652 : !chvd
1653 : !chvd [3] V.I. Lebedev, and A.L. Skorokhodov
1654 : !chvd "Quadrature formulas of orders 41, 47, and 53 for the sphere"
1655 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592. [[cite:Lebedev1992]]
1656 : !chvd
1657 : !chvd [4] V.I. Lebedev
1658 : !chvd "Spherical quadrature formulas exact to orders 25-29"
1659 : !chvd Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107. [[cite:Lebedev1977]]
1660 : !chvd
1661 : !chvd [5] V.I. Lebedev
1662 : !chvd "Quadratures on a sphere"
1663 : !chvd Computational Mathematics and Mathematical Physics, Vol. 16, 1976, pp. 10-24. [[cite:Lebedev1976]]
1664 : !chvd
1665 : !chvd [6] V.I. Lebedev
1666 : !chvd "Values of the nodes and weights of ninth to seventeenth
1667 : !chvd order Gauss-Markov quadrature formulae invariant under the
1668 : !chvd octahedron group with inversion"
1669 : !chvd Computational Mathematics and Mathematical Physics, Vol. 15, 1975, pp. 44-51. [[cite:Lebedev1975]]
1670 : !chvd
1671 0 : N=1
1672 0 : V=0.1782340447244611D-2
1673 0 : Call GEN_OH( 1, N, X(N), Y(N), Z(N), W(N), A, B, V)
1674 0 : V=0.5716905949977102D-2
1675 0 : Call GEN_OH( 2, N, X(N), Y(N), Z(N), W(N), A, B, V)
1676 0 : V=0.5573383178848738D-2
1677 0 : Call GEN_OH( 3, N, X(N), Y(N), Z(N), W(N), A, B, V)
1678 0 : A=0.6712973442695226D+0
1679 0 : V=0.5608704082587997D-2
1680 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
1681 0 : A=0.2892465627575439D+0
1682 0 : V=0.5158237711805383D-2
1683 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
1684 0 : A=0.4446933178717437D+0
1685 0 : V=0.5518771467273614D-2
1686 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
1687 0 : A=0.1299335447650067D+0
1688 0 : V=0.4106777028169394D-2
1689 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
1690 0 : A=0.3457702197611283D+0
1691 0 : V=0.5051846064614808D-2
1692 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
1693 0 : A=0.1590417105383530D+0
1694 0 : B=0.8360360154824589D+0
1695 0 : V=0.5530248916233094D-2
1696 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
1697 0 : N=N-1
1698 0 : end subroutine LD0194
1699 : !!***
1700 :
1701 0 : SUBROUTINE LD0230(X,Y,Z,W,N)
1702 :
1703 : DOUBLE PRECISION X( 230)
1704 : DOUBLE PRECISION Y( 230)
1705 : DOUBLE PRECISION Z( 230)
1706 : DOUBLE PRECISION W( 230)
1707 : INTEGER N
1708 : DOUBLE PRECISION A,B,V
1709 : !CVW
1710 : !CVW LEBEDEV 230-POINT ANGULAR GRID
1711 : !CVW
1712 : !chvd
1713 : !chvd This subroutine is part of a set of subroutines that generate
1714 : !chvd Lebedev grids [1-6] for integration on a sphere. The original
1715 : !chvd C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
1716 : !chvd translated into fortran by Dr. Christoph van Wuellen.
1717 : !chvd This subroutine was translated using a C to fortran77 conversion
1718 : !chvd tool written by Dr. Christoph van Wuellen.
1719 : !chvd
1720 : !chvd Users of this code are asked to include reference [1] in their
1721 : !chvd publications, and in the user- and programmers-manuals
1722 : !chvd describing their codes.
1723 : !chvd
1724 : !chvd This code was distributed through CCL (http://www.ccl.net/).
1725 : !chvd
1726 : !chvd [1] V.I. Lebedev, and D.N. Laikov
1727 : !chvd "A quadrature formula for the sphere of the 131st
1728 : !chvd algebraic order of accuracy"
1729 : !chvd Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481. [[cite:Lebedev1999]]
1730 : !chvd
1731 : !chvd [2] V.I. Lebedev
1732 : !chvd "A quadrature formula for the sphere of 59th algebraic
1733 : !chvd order of accuracy"
1734 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286. [[cite:Lebedev1995]]
1735 : !chvd
1736 : !chvd [3] V.I. Lebedev, and A.L. Skorokhodov
1737 : !chvd "Quadrature formulas of orders 41, 47, and 53 for the sphere"
1738 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592. [[cite:Lebedev1992]]
1739 : !chvd
1740 : !chvd [4] V.I. Lebedev
1741 : !chvd "Spherical quadrature formulas exact to orders 25-29"
1742 : !chvd Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107. [[cite:Lebedev1977]]
1743 : !chvd
1744 : !chvd [5] V.I. Lebedev
1745 : !chvd "Quadratures on a sphere"
1746 : !chvd Computational Mathematics and Mathematical Physics, Vol. 16, 1976, pp. 10-24. [[cite:Lebedev1976]]
1747 : !chvd
1748 : !chvd [6] V.I. Lebedev
1749 : !chvd "Values of the nodes and weights of ninth to seventeenth
1750 : !chvd order Gauss-Markov quadrature formulae invariant under the
1751 : !chvd octahedron group with inversion"
1752 : !chvd Computational Mathematics and Mathematical Physics, Vol. 15, 1975, pp. 44-51. [[cite:Lebedev1975]]
1753 : !chvd
1754 0 : N=1
1755 0 : V=-0.5522639919727325D-1
1756 0 : Call GEN_OH( 1, N, X(N), Y(N), Z(N), W(N), A, B, V)
1757 0 : V=0.4450274607445226D-2
1758 0 : Call GEN_OH( 3, N, X(N), Y(N), Z(N), W(N), A, B, V)
1759 0 : A=0.4492044687397611D+0
1760 0 : V=0.4496841067921404D-2
1761 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
1762 0 : A=0.2520419490210201D+0
1763 0 : V=0.5049153450478750D-2
1764 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
1765 0 : A=0.6981906658447242D+0
1766 0 : V=0.3976408018051883D-2
1767 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
1768 0 : A=0.6587405243460960D+0
1769 0 : V=0.4401400650381014D-2
1770 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
1771 0 : A=0.4038544050097660D-1
1772 0 : V=0.1724544350544401D-1
1773 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
1774 0 : A=0.5823842309715585D+0
1775 0 : V=0.4231083095357343D-2
1776 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
1777 0 : A=0.3545877390518688D+0
1778 0 : V=0.5198069864064399D-2
1779 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
1780 0 : A=0.2272181808998187D+0
1781 0 : B=0.4864661535886647D+0
1782 0 : V=0.4695720972568883D-2
1783 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
1784 0 : N=N-1
1785 0 : end subroutine LD0230
1786 : !!***
1787 :
1788 0 : SUBROUTINE LD0266(X,Y,Z,W,N)
1789 :
1790 : DOUBLE PRECISION X( 266)
1791 : DOUBLE PRECISION Y( 266)
1792 : DOUBLE PRECISION Z( 266)
1793 : DOUBLE PRECISION W( 266)
1794 : INTEGER N
1795 : DOUBLE PRECISION A,B,V
1796 : !CVW
1797 : !CVW LEBEDEV 266-POINT ANGULAR GRID
1798 : !CVW
1799 : !chvd
1800 : !chvd This subroutine is part of a set of subroutines that generate
1801 : !chvd Lebedev grids [1-6] for integration on a sphere. The original
1802 : !chvd C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
1803 : !chvd translated into fortran by Dr. Christoph van Wuellen.
1804 : !chvd This subroutine was translated using a C to fortran77 conversion
1805 : !chvd tool written by Dr. Christoph van Wuellen.
1806 : !chvd
1807 : !chvd Users of this code are asked to include reference [1] in their
1808 : !chvd publications, and in the user- and programmers-manuals
1809 : !chvd describing their codes.
1810 : !chvd
1811 : !chvd This code was distributed through CCL (http://www.ccl.net/).
1812 : !chvd
1813 : !chvd [1] V.I. Lebedev, and D.N. Laikov
1814 : !chvd "A quadrature formula for the sphere of the 131st
1815 : !chvd algebraic order of accuracy"
1816 : !chvd Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481. [[cite:Lebedev1999]]
1817 : !chvd
1818 : !chvd [2] V.I. Lebedev
1819 : !chvd "A quadrature formula for the sphere of 59th algebraic
1820 : !chvd order of accuracy"
1821 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286. [[cite:Lebedev1995]]
1822 : !chvd
1823 : !chvd [3] V.I. Lebedev, and A.L. Skorokhodov
1824 : !chvd "Quadrature formulas of orders 41, 47, and 53 for the sphere"
1825 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592. [[cite:Lebedev1992]]
1826 : !chvd
1827 : !chvd [4] V.I. Lebedev
1828 : !chvd "Spherical quadrature formulas exact to orders 25-29"
1829 : !chvd Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107. [[cite:Lebedev1977]]
1830 : !chvd
1831 : !chvd [5] V.I. Lebedev
1832 : !chvd "Quadratures on a sphere"
1833 : !chvd Computational Mathematics and Mathematical Physics, Vol. 16, 1976, pp. 10-24. [[cite:Lebedev1976]]
1834 : !chvd
1835 : !chvd [6] V.I. Lebedev
1836 : !chvd "Values of the nodes and weights of ninth to seventeenth
1837 : !chvd order Gauss-Markov quadrature formulae invariant under the
1838 : !chvd octahedron group with inversion"
1839 : !chvd Computational Mathematics and Mathematical Physics, Vol. 15, 1975, pp. 44-51. [[cite:Lebedev1975]]
1840 : !chvd
1841 0 : N=1
1842 0 : V=-0.1313769127326952D-2
1843 0 : Call GEN_OH( 1, N, X(N), Y(N), Z(N), W(N), A, B, V)
1844 0 : V=-0.2522728704859336D-2
1845 0 : Call GEN_OH( 2, N, X(N), Y(N), Z(N), W(N), A, B, V)
1846 0 : V=0.4186853881700583D-2
1847 0 : Call GEN_OH( 3, N, X(N), Y(N), Z(N), W(N), A, B, V)
1848 0 : A=0.7039373391585475D+0
1849 0 : V=0.5315167977810885D-2
1850 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
1851 0 : A=0.1012526248572414D+0
1852 0 : V=0.4047142377086219D-2
1853 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
1854 0 : A=0.4647448726420539D+0
1855 0 : V=0.4112482394406990D-2
1856 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
1857 0 : A=0.3277420654971629D+0
1858 0 : V=0.3595584899758782D-2
1859 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
1860 0 : A=0.6620338663699974D+0
1861 0 : V=0.4256131351428158D-2
1862 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
1863 0 : A=0.8506508083520399D+0
1864 0 : V=0.4229582700647240D-2
1865 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
1866 0 : A=0.3233484542692899D+0
1867 0 : B=0.1153112011009701D+0
1868 0 : V=0.4080914225780505D-2
1869 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
1870 0 : A=0.2314790158712601D+0
1871 0 : B=0.5244939240922365D+0
1872 0 : V=0.4071467593830964D-2
1873 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
1874 0 : N=N-1
1875 0 : end subroutine LD0266
1876 : !!***
1877 :
1878 0 : SUBROUTINE LD0302(X,Y,Z,W,N)
1879 :
1880 : DOUBLE PRECISION X( 302)
1881 : DOUBLE PRECISION Y( 302)
1882 : DOUBLE PRECISION Z( 302)
1883 : DOUBLE PRECISION W( 302)
1884 : INTEGER N
1885 : DOUBLE PRECISION A,B,V
1886 : !CVW
1887 : !CVW LEBEDEV 302-POINT ANGULAR GRID
1888 : !CVW
1889 : !chvd
1890 : !chvd This subroutine is part of a set of subroutines that generate
1891 : !chvd Lebedev grids [1-6] for integration on a sphere. The original
1892 : !chvd C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
1893 : !chvd translated into fortran by Dr. Christoph van Wuellen.
1894 : !chvd This subroutine was translated using a C to fortran77 conversion
1895 : !chvd tool written by Dr. Christoph van Wuellen.
1896 : !chvd
1897 : !chvd Users of this code are asked to include reference [1] in their
1898 : !chvd publications, and in the user- and programmers-manuals
1899 : !chvd describing their codes.
1900 : !chvd
1901 : !chvd This code was distributed through CCL (http://www.ccl.net/).
1902 : !chvd
1903 : !chvd [1] V.I. Lebedev, and D.N. Laikov
1904 : !chvd "A quadrature formula for the sphere of the 131st
1905 : !chvd algebraic order of accuracy"
1906 : !chvd Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481. [[cite:Lebedev1999]]
1907 : !chvd
1908 : !chvd [2] V.I. Lebedev
1909 : !chvd "A quadrature formula for the sphere of 59th algebraic
1910 : !chvd order of accuracy"
1911 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286. [[cite:Lebedev1995]]
1912 : !chvd
1913 : !chvd [3] V.I. Lebedev, and A.L. Skorokhodov
1914 : !chvd "Quadrature formulas of orders 41, 47, and 53 for the sphere"
1915 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592. [[cite:Lebedev1992]]
1916 : !chvd
1917 : !chvd [4] V.I. Lebedev
1918 : !chvd "Spherical quadrature formulas exact to orders 25-29"
1919 : !chvd Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107. [[cite:Lebedev1977]]
1920 : !chvd
1921 : !chvd [5] V.I. Lebedev
1922 : !chvd "Quadratures on a sphere"
1923 : !chvd Computational Mathematics and Mathematical Physics, Vol. 16, 1976, pp. 10-24. [[cite:Lebedev1976]]
1924 : !chvd
1925 : !chvd [6] V.I. Lebedev
1926 : !chvd "Values of the nodes and weights of ninth to seventeenth
1927 : !chvd order Gauss-Markov quadrature formulae invariant under the
1928 : !chvd octahedron group with inversion"
1929 : !chvd Computational Mathematics and Mathematical Physics, Vol. 15, 1975, pp. 44-51. [[cite:Lebedev1975]]
1930 : !chvd
1931 0 : N=1
1932 0 : V=0.8545911725128148D-3
1933 0 : Call GEN_OH( 1, N, X(N), Y(N), Z(N), W(N), A, B, V)
1934 0 : V=0.3599119285025571D-2
1935 0 : Call GEN_OH( 3, N, X(N), Y(N), Z(N), W(N), A, B, V)
1936 0 : A=0.3515640345570105D+0
1937 0 : V=0.3449788424305883D-2
1938 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
1939 0 : A=0.6566329410219612D+0
1940 0 : V=0.3604822601419882D-2
1941 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
1942 0 : A=0.4729054132581005D+0
1943 0 : V=0.3576729661743367D-2
1944 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
1945 0 : A=0.9618308522614784D-1
1946 0 : V=0.2352101413689164D-2
1947 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
1948 0 : A=0.2219645236294178D+0
1949 0 : V=0.3108953122413675D-2
1950 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
1951 0 : A=0.7011766416089545D+0
1952 0 : V=0.3650045807677255D-2
1953 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
1954 0 : A=0.2644152887060663D+0
1955 0 : V=0.2982344963171804D-2
1956 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
1957 0 : A=0.5718955891878961D+0
1958 0 : V=0.3600820932216460D-2
1959 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
1960 0 : A=0.2510034751770465D+0
1961 0 : B=0.8000727494073952D+0
1962 0 : V=0.3571540554273387D-2
1963 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
1964 0 : A=0.1233548532583327D+0
1965 0 : B=0.4127724083168531D+0
1966 0 : V=0.3392312205006170D-2
1967 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
1968 0 : N=N-1
1969 0 : end subroutine LD0302
1970 : !!***
1971 :
1972 0 : SUBROUTINE LD0350(X,Y,Z,W,N)
1973 :
1974 : DOUBLE PRECISION X( 350)
1975 : DOUBLE PRECISION Y( 350)
1976 : DOUBLE PRECISION Z( 350)
1977 : DOUBLE PRECISION W( 350)
1978 : INTEGER N
1979 : DOUBLE PRECISION A,B,V
1980 : !CVW
1981 : !CVW LEBEDEV 350-POINT ANGULAR GRID
1982 : !CVW
1983 : !chvd
1984 : !chvd This subroutine is part of a set of subroutines that generate
1985 : !chvd Lebedev grids [1-6] for integration on a sphere. The original
1986 : !chvd C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
1987 : !chvd translated into fortran by Dr. Christoph van Wuellen.
1988 : !chvd This subroutine was translated using a C to fortran77 conversion
1989 : !chvd tool written by Dr. Christoph van Wuellen.
1990 : !chvd
1991 : !chvd Users of this code are asked to include reference [1] in their
1992 : !chvd publications, and in the user- and programmers-manuals
1993 : !chvd describing their codes.
1994 : !chvd
1995 : !chvd This code was distributed through CCL (http://www.ccl.net/).
1996 : !chvd
1997 : !chvd [1] V.I. Lebedev, and D.N. Laikov
1998 : !chvd "A quadrature formula for the sphere of the 131st
1999 : !chvd algebraic order of accuracy"
2000 : !chvd Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481. [[cite:Lebedev1999]]
2001 : !chvd
2002 : !chvd [2] V.I. Lebedev
2003 : !chvd "A quadrature formula for the sphere of 59th algebraic
2004 : !chvd order of accuracy"
2005 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286. [[cite:Lebedev1995]]
2006 : !chvd
2007 : !chvd [3] V.I. Lebedev, and A.L. Skorokhodov
2008 : !chvd "Quadrature formulas of orders 41, 47, and 53 for the sphere"
2009 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592. [[cite:Lebedev1992]]
2010 : !chvd
2011 : !chvd [4] V.I. Lebedev
2012 : !chvd "Spherical quadrature formulas exact to orders 25-29"
2013 : !chvd Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107. [[cite:Lebedev1977]]
2014 : !chvd
2015 : !chvd [5] V.I. Lebedev
2016 : !chvd "Quadratures on a sphere"
2017 : !chvd Computational Mathematics and Mathematical Physics, Vol. 16, 1976, pp. 10-24. [[cite:Lebedev1976]]
2018 : !chvd
2019 : !chvd [6] V.I. Lebedev
2020 : !chvd "Values of the nodes and weights of ninth to seventeenth
2021 : !chvd order Gauss-Markov quadrature formulae invariant under the
2022 : !chvd octahedron group with inversion"
2023 : !chvd Computational Mathematics and Mathematical Physics, Vol. 15, 1975, pp. 44-51. [[cite:Lebedev1975]]
2024 : !chvd
2025 0 : N=1
2026 0 : V=0.3006796749453936D-2
2027 0 : Call GEN_OH( 1, N, X(N), Y(N), Z(N), W(N), A, B, V)
2028 0 : V=0.3050627745650771D-2
2029 0 : Call GEN_OH( 3, N, X(N), Y(N), Z(N), W(N), A, B, V)
2030 0 : A=0.7068965463912316D+0
2031 0 : V=0.1621104600288991D-2
2032 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2033 0 : A=0.4794682625712025D+0
2034 0 : V=0.3005701484901752D-2
2035 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2036 0 : A=0.1927533154878019D+0
2037 0 : V=0.2990992529653774D-2
2038 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2039 0 : A=0.6930357961327123D+0
2040 0 : V=0.2982170644107595D-2
2041 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2042 0 : A=0.3608302115520091D+0
2043 0 : V=0.2721564237310992D-2
2044 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2045 0 : A=0.6498486161496169D+0
2046 0 : V=0.3033513795811141D-2
2047 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2048 0 : A=0.1932945013230339D+0
2049 0 : V=0.3007949555218533D-2
2050 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
2051 0 : A=0.3800494919899303D+0
2052 0 : V=0.2881964603055307D-2
2053 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
2054 0 : A=0.2899558825499574D+0
2055 0 : B=0.7934537856582316D+0
2056 0 : V=0.2958357626535696D-2
2057 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2058 0 : A=0.9684121455103957D-1
2059 0 : B=0.8280801506686862D+0
2060 0 : V=0.3036020026407088D-2
2061 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2062 0 : A=0.1833434647041659D+0
2063 0 : B=0.9074658265305127D+0
2064 0 : V=0.2832187403926303D-2
2065 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2066 0 : N=N-1
2067 0 : end subroutine LD0350
2068 : !!***
2069 :
2070 1 : SUBROUTINE LD0434(X,Y,Z,W,N)
2071 :
2072 : DOUBLE PRECISION X( 434)
2073 : DOUBLE PRECISION Y( 434)
2074 : DOUBLE PRECISION Z( 434)
2075 : DOUBLE PRECISION W( 434)
2076 : INTEGER N
2077 : DOUBLE PRECISION A,B,V
2078 : !CVW
2079 : !CVW LEBEDEV 434-POINT ANGULAR GRID
2080 : !CVW
2081 : !chvd
2082 : !chvd This subroutine is part of a set of subroutines that generate
2083 : !chvd Lebedev grids [1-6] for integration on a sphere. The original
2084 : !chvd C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
2085 : !chvd translated into fortran by Dr. Christoph van Wuellen.
2086 : !chvd This subroutine was translated using a C to fortran77 conversion
2087 : !chvd tool written by Dr. Christoph van Wuellen.
2088 : !chvd
2089 : !chvd Users of this code are asked to include reference [1] in their
2090 : !chvd publications, and in the user- and programmers-manuals
2091 : !chvd describing their codes.
2092 : !chvd
2093 : !chvd This code was distributed through CCL (http://www.ccl.net/).
2094 : !chvd
2095 : !chvd [1] V.I. Lebedev, and D.N. Laikov
2096 : !chvd "A quadrature formula for the sphere of the 131st
2097 : !chvd algebraic order of accuracy"
2098 : !chvd Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481. [[cite:Lebedev1999]]
2099 : !chvd
2100 : !chvd [2] V.I. Lebedev
2101 : !chvd "A quadrature formula for the sphere of 59th algebraic
2102 : !chvd order of accuracy"
2103 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286. [[cite:Lebedev1995]]
2104 : !chvd
2105 : !chvd [3] V.I. Lebedev, and A.L. Skorokhodov
2106 : !chvd "Quadrature formulas of orders 41, 47, and 53 for the sphere"
2107 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592. [[cite:Lebedev1992]]
2108 : !chvd
2109 : !chvd [4] V.I. Lebedev
2110 : !chvd "Spherical quadrature formulas exact to orders 25-29"
2111 : !chvd Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107. [[cite:Lebedev1977]]
2112 : !chvd
2113 : !chvd [5] V.I. Lebedev
2114 : !chvd "Quadratures on a sphere"
2115 : !chvd Computational Mathematics and Mathematical Physics, Vol. 16, 1976, pp. 10-24. [[cite:Lebedev1976]]
2116 : !chvd
2117 : !chvd [6] V.I. Lebedev
2118 : !chvd "Values of the nodes and weights of ninth to seventeenth
2119 : !chvd order Gauss-Markov quadrature formulae invariant under the
2120 : !chvd octahedron group with inversion"
2121 : !chvd Computational Mathematics and Mathematical Physics, Vol. 15, 1975, pp. 44-51. [[cite:Lebedev1975]]
2122 : !chvd
2123 1 : N=1
2124 1 : V=0.5265897968224436D-3
2125 1 : Call GEN_OH( 1, N, X(N), Y(N), Z(N), W(N), A, B, V)
2126 1 : V=0.2548219972002607D-2
2127 1 : Call GEN_OH( 2, N, X(N), Y(N), Z(N), W(N), A, B, V)
2128 1 : V=0.2512317418927307D-2
2129 1 : Call GEN_OH( 3, N, X(N), Y(N), Z(N), W(N), A, B, V)
2130 1 : A=0.6909346307509111D+0
2131 1 : V=0.2530403801186355D-2
2132 1 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2133 1 : A=0.1774836054609158D+0
2134 1 : V=0.2014279020918528D-2
2135 1 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2136 1 : A=0.4914342637784746D+0
2137 1 : V=0.2501725168402936D-2
2138 1 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2139 1 : A=0.6456664707424256D+0
2140 1 : V=0.2513267174597564D-2
2141 1 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2142 1 : A=0.2861289010307638D+0
2143 1 : V=0.2302694782227416D-2
2144 1 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2145 1 : A=0.7568084367178018D-1
2146 1 : V=0.1462495621594614D-2
2147 1 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2148 1 : A=0.3927259763368002D+0
2149 1 : V=0.2445373437312980D-2
2150 1 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2151 1 : A=0.8818132877794288D+0
2152 1 : V=0.2417442375638981D-2
2153 1 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
2154 1 : A=0.9776428111182649D+0
2155 1 : V=0.1910951282179532D-2
2156 1 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
2157 1 : A=0.2054823696403044D+0
2158 1 : B=0.8689460322872412D+0
2159 1 : V=0.2416930044324775D-2
2160 1 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2161 1 : A=0.5905157048925271D+0
2162 1 : B=0.7999278543857286D+0
2163 1 : V=0.2512236854563495D-2
2164 1 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2165 1 : A=0.5550152361076807D+0
2166 1 : B=0.7717462626915901D+0
2167 1 : V=0.2496644054553086D-2
2168 1 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2169 1 : A=0.9371809858553722D+0
2170 1 : B=0.3344363145343455D+0
2171 1 : V=0.2236607760437849D-2
2172 1 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2173 1 : N=N-1
2174 1 : end subroutine LD0434
2175 : !!***
2176 :
2177 0 : SUBROUTINE LD0590(X,Y,Z,W,N)
2178 :
2179 : DOUBLE PRECISION X( 590)
2180 : DOUBLE PRECISION Y( 590)
2181 : DOUBLE PRECISION Z( 590)
2182 : DOUBLE PRECISION W( 590)
2183 : INTEGER N
2184 : DOUBLE PRECISION A,B,V
2185 : !CVW
2186 : !CVW LEBEDEV 590-POINT ANGULAR GRID
2187 : !CVW
2188 : !chvd
2189 : !chvd This subroutine is part of a set of subroutines that generate
2190 : !chvd Lebedev grids [1-6] for integration on a sphere. The original
2191 : !chvd C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
2192 : !chvd translated into fortran by Dr. Christoph van Wuellen.
2193 : !chvd This subroutine was translated using a C to fortran77 conversion
2194 : !chvd tool written by Dr. Christoph van Wuellen.
2195 : !chvd
2196 : !chvd Users of this code are asked to include reference [1] in their
2197 : !chvd publications, and in the user- and programmers-manuals
2198 : !chvd describing their codes.
2199 : !chvd
2200 : !chvd This code was distributed through CCL (http://www.ccl.net/).
2201 : !chvd
2202 : !chvd [1] V.I. Lebedev, and D.N. Laikov
2203 : !chvd "A quadrature formula for the sphere of the 131st
2204 : !chvd algebraic order of accuracy"
2205 : !chvd Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481. [[cite:Lebedev1999]]
2206 : !chvd
2207 : !chvd [2] V.I. Lebedev
2208 : !chvd "A quadrature formula for the sphere of 59th algebraic
2209 : !chvd order of accuracy"
2210 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286. [[cite:Lebedev1995]]
2211 : !chvd
2212 : !chvd [3] V.I. Lebedev, and A.L. Skorokhodov
2213 : !chvd "Quadrature formulas of orders 41, 47, and 53 for the sphere"
2214 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592. [[cite:Lebedev1992]]
2215 : !chvd
2216 : !chvd [4] V.I. Lebedev
2217 : !chvd "Spherical quadrature formulas exact to orders 25-29"
2218 : !chvd Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107. [[cite:Lebedev1977]]
2219 : !chvd
2220 : !chvd [5] V.I. Lebedev
2221 : !chvd "Quadratures on a sphere"
2222 : !chvd Computational Mathematics and Mathematical Physics, Vol. 16, 1976, pp. 10-24. [[cite:Lebedev1976]]
2223 : !chvd
2224 : !chvd [6] V.I. Lebedev
2225 : !chvd "Values of the nodes and weights of ninth to seventeenth
2226 : !chvd order Gauss-Markov quadrature formulae invariant under the
2227 : !chvd octahedron group with inversion"
2228 : !chvd Computational Mathematics and Mathematical Physics, Vol. 15, 1975, pp. 44-51. [[cite:Lebedev1975]]
2229 : !chvd
2230 0 : N=1
2231 0 : V=0.3095121295306187D-3
2232 0 : Call GEN_OH( 1, N, X(N), Y(N), Z(N), W(N), A, B, V)
2233 0 : V=0.1852379698597489D-2
2234 0 : Call GEN_OH( 3, N, X(N), Y(N), Z(N), W(N), A, B, V)
2235 0 : A=0.7040954938227469D+0
2236 0 : V=0.1871790639277744D-2
2237 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2238 0 : A=0.6807744066455243D+0
2239 0 : V=0.1858812585438317D-2
2240 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2241 0 : A=0.6372546939258752D+0
2242 0 : V=0.1852028828296213D-2
2243 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2244 0 : A=0.5044419707800358D+0
2245 0 : V=0.1846715956151242D-2
2246 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2247 0 : A=0.4215761784010967D+0
2248 0 : V=0.1818471778162769D-2
2249 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2250 0 : A=0.3317920736472123D+0
2251 0 : V=0.1749564657281154D-2
2252 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2253 0 : A=0.2384736701421887D+0
2254 0 : V=0.1617210647254411D-2
2255 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2256 0 : A=0.1459036449157763D+0
2257 0 : V=0.1384737234851692D-2
2258 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2259 0 : A=0.6095034115507196D-1
2260 0 : V=0.9764331165051050D-3
2261 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2262 0 : A=0.6116843442009876D+0
2263 0 : V=0.1857161196774078D-2
2264 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
2265 0 : A=0.3964755348199858D+0
2266 0 : V=0.1705153996395864D-2
2267 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
2268 0 : A=0.1724782009907724D+0
2269 0 : V=0.1300321685886048D-2
2270 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
2271 0 : A=0.5610263808622060D+0
2272 0 : B=0.3518280927733519D+0
2273 0 : V=0.1842866472905286D-2
2274 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2275 0 : A=0.4742392842551980D+0
2276 0 : B=0.2634716655937950D+0
2277 0 : V=0.1802658934377451D-2
2278 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2279 0 : A=0.5984126497885380D+0
2280 0 : B=0.1816640840360209D+0
2281 0 : V=0.1849830560443660D-2
2282 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2283 0 : A=0.3791035407695563D+0
2284 0 : B=0.1720795225656878D+0
2285 0 : V=0.1713904507106709D-2
2286 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2287 0 : A=0.2778673190586244D+0
2288 0 : B=0.8213021581932511D-1
2289 0 : V=0.1555213603396808D-2
2290 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2291 0 : A=0.5033564271075117D+0
2292 0 : B=0.8999205842074875D-1
2293 0 : V=0.1802239128008525D-2
2294 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2295 0 : N=N-1
2296 0 : end subroutine LD0590
2297 : !!***
2298 :
2299 0 : SUBROUTINE LD0770(X,Y,Z,W,N)
2300 :
2301 : DOUBLE PRECISION X( 770)
2302 : DOUBLE PRECISION Y( 770)
2303 : DOUBLE PRECISION Z( 770)
2304 : DOUBLE PRECISION W( 770)
2305 : INTEGER N
2306 : DOUBLE PRECISION A,B,V
2307 : !CVW
2308 : !CVW LEBEDEV 770-POINT ANGULAR GRID
2309 : !CVW
2310 : !chvd
2311 : !chvd This subroutine is part of a set of subroutines that generate
2312 : !chvd Lebedev grids [1-6] for integration on a sphere. The original
2313 : !chvd C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
2314 : !chvd translated into fortran by Dr. Christoph van Wuellen.
2315 : !chvd This subroutine was translated using a C to fortran77 conversion
2316 : !chvd tool written by Dr. Christoph van Wuellen.
2317 : !chvd
2318 : !chvd Users of this code are asked to include reference [1] in their
2319 : !chvd publications, and in the user- and programmers-manuals
2320 : !chvd describing their codes.
2321 : !chvd
2322 : !chvd This code was distributed through CCL (http://www.ccl.net/).
2323 : !chvd
2324 : !chvd [1] V.I. Lebedev, and D.N. Laikov
2325 : !chvd "A quadrature formula for the sphere of the 131st
2326 : !chvd algebraic order of accuracy"
2327 : !chvd Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481. [[cite:Lebedev1999]]
2328 : !chvd
2329 : !chvd [2] V.I. Lebedev
2330 : !chvd "A quadrature formula for the sphere of 59th algebraic
2331 : !chvd order of accuracy"
2332 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286. [[cite:Lebedev1995]]
2333 : !chvd
2334 : !chvd [3] V.I. Lebedev, and A.L. Skorokhodov
2335 : !chvd "Quadrature formulas of orders 41, 47, and 53 for the sphere"
2336 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592. [[cite:Lebedev1992]]
2337 : !chvd
2338 : !chvd [4] V.I. Lebedev
2339 : !chvd "Spherical quadrature formulas exact to orders 25-29"
2340 : !chvd Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107. [[cite:Lebedev1977]]
2341 : !chvd
2342 : !chvd [5] V.I. Lebedev
2343 : !chvd "Quadratures on a sphere"
2344 : !chvd Computational Mathematics and Mathematical Physics, Vol. 16, 1976, pp. 10-24. [[cite:Lebedev1976]]
2345 : !chvd
2346 : !chvd [6] V.I. Lebedev
2347 : !chvd "Values of the nodes and weights of ninth to seventeenth
2348 : !chvd order Gauss-Markov quadrature formulae invariant under the
2349 : !chvd octahedron group with inversion"
2350 : !chvd Computational Mathematics and Mathematical Physics, Vol. 15, 1975, pp. 44-51. [[cite:Lebedev1975]]
2351 : !chvd
2352 0 : N=1
2353 0 : V=0.2192942088181184D-3
2354 0 : Call GEN_OH( 1, N, X(N), Y(N), Z(N), W(N), A, B, V)
2355 0 : V=0.1436433617319080D-2
2356 0 : Call GEN_OH( 2, N, X(N), Y(N), Z(N), W(N), A, B, V)
2357 0 : V=0.1421940344335877D-2
2358 0 : Call GEN_OH( 3, N, X(N), Y(N), Z(N), W(N), A, B, V)
2359 0 : A=0.5087204410502360D-1
2360 0 : V=0.6798123511050502D-3
2361 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2362 0 : A=0.1228198790178831D+0
2363 0 : V=0.9913184235294912D-3
2364 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2365 0 : A=0.2026890814408786D+0
2366 0 : V=0.1180207833238949D-2
2367 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2368 0 : A=0.2847745156464294D+0
2369 0 : V=0.1296599602080921D-2
2370 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2371 0 : A=0.3656719078978026D+0
2372 0 : V=0.1365871427428316D-2
2373 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2374 0 : A=0.4428264886713469D+0
2375 0 : V=0.1402988604775325D-2
2376 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2377 0 : A=0.5140619627249735D+0
2378 0 : V=0.1418645563595609D-2
2379 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2380 0 : A=0.6306401219166803D+0
2381 0 : V=0.1421376741851662D-2
2382 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2383 0 : A=0.6716883332022612D+0
2384 0 : V=0.1423996475490962D-2
2385 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2386 0 : A=0.6979792685336881D+0
2387 0 : V=0.1431554042178567D-2
2388 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2389 0 : A=0.1446865674195309D+0
2390 0 : V=0.9254401499865368D-3
2391 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
2392 0 : A=0.3390263475411216D+0
2393 0 : V=0.1250239995053509D-2
2394 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
2395 0 : A=0.5335804651263506D+0
2396 0 : V=0.1394365843329230D-2
2397 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
2398 0 : A=0.6944024393349413D-1
2399 0 : B=0.2355187894242326D+0
2400 0 : V=0.1127089094671749D-2
2401 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2402 0 : A=0.2269004109529460D+0
2403 0 : B=0.4102182474045730D+0
2404 0 : V=0.1345753760910670D-2
2405 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2406 0 : A=0.8025574607775339D-1
2407 0 : B=0.6214302417481605D+0
2408 0 : V=0.1424957283316783D-2
2409 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2410 0 : A=0.1467999527896572D+0
2411 0 : B=0.3245284345717394D+0
2412 0 : V=0.1261523341237750D-2
2413 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2414 0 : A=0.1571507769824727D+0
2415 0 : B=0.5224482189696630D+0
2416 0 : V=0.1392547106052696D-2
2417 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2418 0 : A=0.2365702993157246D+0
2419 0 : B=0.6017546634089558D+0
2420 0 : V=0.1418761677877656D-2
2421 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2422 0 : A=0.7714815866765732D-1
2423 0 : B=0.4346575516141163D+0
2424 0 : V=0.1338366684479554D-2
2425 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2426 0 : A=0.3062936666210730D+0
2427 0 : B=0.4908826589037616D+0
2428 0 : V=0.1393700862676131D-2
2429 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2430 0 : A=0.3822477379524787D+0
2431 0 : B=0.5648768149099500D+0
2432 0 : V=0.1415914757466932D-2
2433 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2434 0 : N=N-1
2435 0 : end subroutine LD0770
2436 : !!***
2437 :
2438 0 : SUBROUTINE LD0974(X,Y,Z,W,N)
2439 :
2440 : DOUBLE PRECISION X( 974)
2441 : DOUBLE PRECISION Y( 974)
2442 : DOUBLE PRECISION Z( 974)
2443 : DOUBLE PRECISION W( 974)
2444 : INTEGER N
2445 : DOUBLE PRECISION A,B,V
2446 : !CVW
2447 : !CVW LEBEDEV 974-POINT ANGULAR GRID
2448 : !CVW
2449 : !chvd
2450 : !chvd This subroutine is part of a set of subroutines that generate
2451 : !chvd Lebedev grids [1-6] for integration on a sphere. The original
2452 : !chvd C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
2453 : !chvd translated into fortran by Dr. Christoph van Wuellen.
2454 : !chvd This subroutine was translated using a C to fortran77 conversion
2455 : !chvd tool written by Dr. Christoph van Wuellen.
2456 : !chvd
2457 : !chvd Users of this code are asked to include reference [1] in their
2458 : !chvd publications, and in the user- and programmers-manuals
2459 : !chvd describing their codes.
2460 : !chvd
2461 : !chvd This code was distributed through CCL (http://www.ccl.net/).
2462 : !chvd
2463 : !chvd [1] V.I. Lebedev, and D.N. Laikov
2464 : !chvd "A quadrature formula for the sphere of the 131st
2465 : !chvd algebraic order of accuracy"
2466 : !chvd Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481. [[cite:Lebedev1999]]
2467 : !chvd
2468 : !chvd [2] V.I. Lebedev
2469 : !chvd "A quadrature formula for the sphere of 59th algebraic
2470 : !chvd order of accuracy"
2471 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286. [[cite:Lebedev1995]]
2472 : !chvd
2473 : !chvd [3] V.I. Lebedev, and A.L. Skorokhodov
2474 : !chvd "Quadrature formulas of orders 41, 47, and 53 for the sphere"
2475 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592. [[cite:Lebedev1992]]
2476 : !chvd
2477 : !chvd [4] V.I. Lebedev
2478 : !chvd "Spherical quadrature formulas exact to orders 25-29"
2479 : !chvd Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107. [[cite:Lebedev1977]]
2480 : !chvd
2481 : !chvd [5] V.I. Lebedev
2482 : !chvd "Quadratures on a sphere"
2483 : !chvd Computational Mathematics and Mathematical Physics, Vol. 16, 1976, pp. 10-24. [[cite:Lebedev1976]]
2484 : !chvd
2485 : !chvd [6] V.I. Lebedev
2486 : !chvd "Values of the nodes and weights of ninth to seventeenth
2487 : !chvd order Gauss-Markov quadrature formulae invariant under the
2488 : !chvd octahedron group with inversion"
2489 : !chvd Computational Mathematics and Mathematical Physics, Vol. 15, 1975, pp. 44-51. [[cite:Lebedev1975]]
2490 : !chvd
2491 0 : N=1
2492 0 : V=0.1438294190527431D-3
2493 0 : Call GEN_OH( 1, N, X(N), Y(N), Z(N), W(N), A, B, V)
2494 0 : V=0.1125772288287004D-2
2495 0 : Call GEN_OH( 3, N, X(N), Y(N), Z(N), W(N), A, B, V)
2496 0 : A=0.4292963545341347D-1
2497 0 : V=0.4948029341949241D-3
2498 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2499 0 : A=0.1051426854086404D+0
2500 0 : V=0.7357990109125470D-3
2501 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2502 0 : A=0.1750024867623087D+0
2503 0 : V=0.8889132771304384D-3
2504 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2505 0 : A=0.2477653379650257D+0
2506 0 : V=0.9888347838921435D-3
2507 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2508 0 : A=0.3206567123955957D+0
2509 0 : V=0.1053299681709471D-2
2510 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2511 0 : A=0.3916520749849983D+0
2512 0 : V=0.1092778807014578D-2
2513 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2514 0 : A=0.4590825874187624D+0
2515 0 : V=0.1114389394063227D-2
2516 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2517 0 : A=0.5214563888415861D+0
2518 0 : V=0.1123724788051555D-2
2519 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2520 0 : A=0.6253170244654199D+0
2521 0 : V=0.1125239325243814D-2
2522 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2523 0 : A=0.6637926744523170D+0
2524 0 : V=0.1126153271815905D-2
2525 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2526 0 : A=0.6910410398498301D+0
2527 0 : V=0.1130286931123841D-2
2528 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2529 0 : A=0.7052907007457760D+0
2530 0 : V=0.1134986534363955D-2
2531 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2532 0 : A=0.1236686762657990D+0
2533 0 : V=0.6823367927109931D-3
2534 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
2535 0 : A=0.2940777114468387D+0
2536 0 : V=0.9454158160447096D-3
2537 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
2538 0 : A=0.4697753849207649D+0
2539 0 : V=0.1074429975385679D-2
2540 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
2541 0 : A=0.6334563241139567D+0
2542 0 : V=0.1129300086569132D-2
2543 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
2544 0 : A=0.5974048614181342D-1
2545 0 : B=0.2029128752777523D+0
2546 0 : V=0.8436884500901954D-3
2547 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2548 0 : A=0.1375760408473636D+0
2549 0 : B=0.4602621942484054D+0
2550 0 : V=0.1075255720448885D-2
2551 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2552 0 : A=0.3391016526336286D+0
2553 0 : B=0.5030673999662036D+0
2554 0 : V=0.1108577236864462D-2
2555 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2556 0 : A=0.1271675191439820D+0
2557 0 : B=0.2817606422442134D+0
2558 0 : V=0.9566475323783357D-3
2559 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2560 0 : A=0.2693120740413512D+0
2561 0 : B=0.4331561291720157D+0
2562 0 : V=0.1080663250717391D-2
2563 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2564 0 : A=0.1419786452601918D+0
2565 0 : B=0.6256167358580814D+0
2566 0 : V=0.1126797131196295D-2
2567 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2568 0 : A=0.6709284600738255D-1
2569 0 : B=0.3798395216859157D+0
2570 0 : V=0.1022568715358061D-2
2571 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2572 0 : A=0.7057738183256172D-1
2573 0 : B=0.5517505421423520D+0
2574 0 : V=0.1108960267713108D-2
2575 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2576 0 : A=0.2783888477882155D+0
2577 0 : B=0.6029619156159187D+0
2578 0 : V=0.1122790653435766D-2
2579 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2580 0 : A=0.1979578938917407D+0
2581 0 : B=0.3589606329589096D+0
2582 0 : V=0.1032401847117460D-2
2583 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2584 0 : A=0.2087307061103274D+0
2585 0 : B=0.5348666438135476D+0
2586 0 : V=0.1107249382283854D-2
2587 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2588 0 : A=0.4055122137872836D+0
2589 0 : B=0.5674997546074373D+0
2590 0 : V=0.1121780048519972D-2
2591 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2592 0 : N=N-1
2593 0 : end subroutine LD0974
2594 : !!***
2595 :
2596 0 : SUBROUTINE LD1202(X,Y,Z,W,N)
2597 :
2598 : DOUBLE PRECISION X(1202)
2599 : DOUBLE PRECISION Y(1202)
2600 : DOUBLE PRECISION Z(1202)
2601 : DOUBLE PRECISION W(1202)
2602 : INTEGER N
2603 : DOUBLE PRECISION A,B,V
2604 : !CVW
2605 : !CVW LEBEDEV 1202-POINT ANGULAR GRID
2606 : !CVW
2607 : !chvd
2608 : !chvd This subroutine is part of a set of subroutines that generate
2609 : !chvd Lebedev grids [1-6] for integration on a sphere. The original
2610 : !chvd C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
2611 : !chvd translated into fortran by Dr. Christoph van Wuellen.
2612 : !chvd This subroutine was translated using a C to fortran77 conversion
2613 : !chvd tool written by Dr. Christoph van Wuellen.
2614 : !chvd
2615 : !chvd Users of this code are asked to include reference [1] in their
2616 : !chvd publications, and in the user- and programmers-manuals
2617 : !chvd describing their codes.
2618 : !chvd
2619 : !chvd This code was distributed through CCL (http://www.ccl.net/).
2620 : !chvd
2621 : !chvd [1] V.I. Lebedev, and D.N. Laikov
2622 : !chvd "A quadrature formula for the sphere of the 131st
2623 : !chvd algebraic order of accuracy"
2624 : !chvd Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481. [[cite:Lebedev1999]]
2625 : !chvd
2626 : !chvd [2] V.I. Lebedev
2627 : !chvd "A quadrature formula for the sphere of 59th algebraic
2628 : !chvd order of accuracy"
2629 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286. [[cite:Lebedev1995]]
2630 : !chvd
2631 : !chvd [3] V.I. Lebedev, and A.L. Skorokhodov
2632 : !chvd "Quadrature formulas of orders 41, 47, and 53 for the sphere"
2633 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592. [[cite:Lebedev1992]]
2634 : !chvd
2635 : !chvd [4] V.I. Lebedev
2636 : !chvd "Spherical quadrature formulas exact to orders 25-29"
2637 : !chvd Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107. [[cite:Lebedev1977]]
2638 : !chvd
2639 : !chvd [5] V.I. Lebedev
2640 : !chvd "Quadratures on a sphere"
2641 : !chvd Computational Mathematics and Mathematical Physics, Vol. 16, 1976, pp. 10-24. [[cite:Lebedev1976]]
2642 : !chvd
2643 : !chvd [6] V.I. Lebedev
2644 : !chvd "Values of the nodes and weights of ninth to seventeenth
2645 : !chvd order Gauss-Markov quadrature formulae invariant under the
2646 : !chvd octahedron group with inversion"
2647 : !chvd Computational Mathematics and Mathematical Physics, Vol. 15, 1975, pp. 44-51. [[cite:Lebedev1975]]
2648 : !chvd
2649 0 : N=1
2650 0 : V=0.1105189233267572D-3
2651 0 : Call GEN_OH( 1, N, X(N), Y(N), Z(N), W(N), A, B, V)
2652 0 : V=0.9205232738090741D-3
2653 0 : Call GEN_OH( 2, N, X(N), Y(N), Z(N), W(N), A, B, V)
2654 0 : V=0.9133159786443561D-3
2655 0 : Call GEN_OH( 3, N, X(N), Y(N), Z(N), W(N), A, B, V)
2656 0 : A=0.3712636449657089D-1
2657 0 : V=0.3690421898017899D-3
2658 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2659 0 : A=0.9140060412262223D-1
2660 0 : V=0.5603990928680660D-3
2661 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2662 0 : A=0.1531077852469906D+0
2663 0 : V=0.6865297629282609D-3
2664 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2665 0 : A=0.2180928891660612D+0
2666 0 : V=0.7720338551145630D-3
2667 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2668 0 : A=0.2839874532200175D+0
2669 0 : V=0.8301545958894795D-3
2670 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2671 0 : A=0.3491177600963764D+0
2672 0 : V=0.8686692550179628D-3
2673 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2674 0 : A=0.4121431461444309D+0
2675 0 : V=0.8927076285846890D-3
2676 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2677 0 : A=0.4718993627149127D+0
2678 0 : V=0.9060820238568219D-3
2679 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2680 0 : A=0.5273145452842337D+0
2681 0 : V=0.9119777254940867D-3
2682 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2683 0 : A=0.6209475332444019D+0
2684 0 : V=0.9128720138604181D-3
2685 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2686 0 : A=0.6569722711857291D+0
2687 0 : V=0.9130714935691735D-3
2688 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2689 0 : A=0.6841788309070143D+0
2690 0 : V=0.9152873784554116D-3
2691 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2692 0 : A=0.7012604330123631D+0
2693 0 : V=0.9187436274321654D-3
2694 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2695 0 : A=0.1072382215478166D+0
2696 0 : V=0.5176977312965694D-3
2697 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
2698 0 : A=0.2582068959496968D+0
2699 0 : V=0.7331143682101417D-3
2700 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
2701 0 : A=0.4172752955306717D+0
2702 0 : V=0.8463232836379928D-3
2703 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
2704 0 : A=0.5700366911792503D+0
2705 0 : V=0.9031122694253992D-3
2706 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
2707 0 : A=0.9827986018263947D+0
2708 0 : B=0.1771774022615325D+0
2709 0 : V=0.6485778453163257D-3
2710 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2711 0 : A=0.9624249230326228D+0
2712 0 : B=0.2475716463426288D+0
2713 0 : V=0.7435030910982369D-3
2714 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2715 0 : A=0.9402007994128811D+0
2716 0 : B=0.3354616289066489D+0
2717 0 : V=0.7998527891839054D-3
2718 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2719 0 : A=0.9320822040143202D+0
2720 0 : B=0.3173615246611977D+0
2721 0 : V=0.8101731497468018D-3
2722 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2723 0 : A=0.9043674199393299D+0
2724 0 : B=0.4090268427085357D+0
2725 0 : V=0.8483389574594331D-3
2726 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2727 0 : A=0.8912407560074747D+0
2728 0 : B=0.3854291150669224D+0
2729 0 : V=0.8556299257311812D-3
2730 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2731 0 : A=0.8676435628462708D+0
2732 0 : B=0.4932221184851285D+0
2733 0 : V=0.8803208679738260D-3
2734 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2735 0 : A=0.8581979986041619D+0
2736 0 : B=0.4785320675922435D+0
2737 0 : V=0.8811048182425720D-3
2738 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2739 0 : A=0.8396753624049856D+0
2740 0 : B=0.4507422593157064D+0
2741 0 : V=0.8850282341265444D-3
2742 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2743 0 : A=0.8165288564022188D+0
2744 0 : B=0.5632123020762100D+0
2745 0 : V=0.9021342299040653D-3
2746 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2747 0 : A=0.8015469370783529D+0
2748 0 : B=0.5434303569693900D+0
2749 0 : V=0.9010091677105086D-3
2750 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2751 0 : A=0.7773563069070351D+0
2752 0 : B=0.5123518486419871D+0
2753 0 : V=0.9022692938426915D-3
2754 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2755 0 : A=0.7661621213900394D+0
2756 0 : B=0.6394279634749102D+0
2757 0 : V=0.9158016174693465D-3
2758 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2759 0 : A=0.7553584143533510D+0
2760 0 : B=0.6269805509024392D+0
2761 0 : V=0.9131578003189435D-3
2762 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2763 0 : A=0.7344305757559503D+0
2764 0 : B=0.6031161693096310D+0
2765 0 : V=0.9107813579482705D-3
2766 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2767 0 : A=0.7043837184021765D+0
2768 0 : B=0.5693702498468441D+0
2769 0 : V=0.9105760258970126D-3
2770 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2771 0 : N=N-1
2772 0 : end subroutine LD1202
2773 : !!***
2774 :
2775 0 : SUBROUTINE LD1454(X,Y,Z,W,N)
2776 :
2777 : DOUBLE PRECISION X(1454)
2778 : DOUBLE PRECISION Y(1454)
2779 : DOUBLE PRECISION Z(1454)
2780 : DOUBLE PRECISION W(1454)
2781 : INTEGER N
2782 : DOUBLE PRECISION A,B,V
2783 : !CVW
2784 : !CVW LEBEDEV 1454-POINT ANGULAR GRID
2785 : !CVW
2786 : !chvd
2787 : !chvd This subroutine is part of a set of subroutines that generate
2788 : !chvd Lebedev grids [1-6] for integration on a sphere. The original
2789 : !chvd C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
2790 : !chvd translated into fortran by Dr. Christoph van Wuellen.
2791 : !chvd This subroutine was translated using a C to fortran77 conversion
2792 : !chvd tool written by Dr. Christoph van Wuellen.
2793 : !chvd
2794 : !chvd Users of this code are asked to include reference [1] in their
2795 : !chvd publications, and in the user- and programmers-manuals
2796 : !chvd describing their codes.
2797 : !chvd
2798 : !chvd This code was distributed through CCL (http://www.ccl.net/).
2799 : !chvd
2800 : !chvd [1] V.I. Lebedev, and D.N. Laikov
2801 : !chvd "A quadrature formula for the sphere of the 131st
2802 : !chvd algebraic order of accuracy"
2803 : !chvd Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481. [[cite:Lebedev1999]]
2804 : !chvd
2805 : !chvd [2] V.I. Lebedev
2806 : !chvd "A quadrature formula for the sphere of 59th algebraic
2807 : !chvd order of accuracy"
2808 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286. [[cite:Lebedev1995]]
2809 : !chvd
2810 : !chvd [3] V.I. Lebedev, and A.L. Skorokhodov
2811 : !chvd "Quadrature formulas of orders 41, 47, and 53 for the sphere"
2812 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592. [[cite:Lebedev1992]]
2813 : !chvd
2814 : !chvd [4] V.I. Lebedev
2815 : !chvd "Spherical quadrature formulas exact to orders 25-29"
2816 : !chvd Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107. [[cite:Lebedev1977]]
2817 : !chvd
2818 : !chvd [5] V.I. Lebedev
2819 : !chvd "Quadratures on a sphere"
2820 : !chvd Computational Mathematics and Mathematical Physics, Vol. 16, 1976, pp. 10-24. [[cite:Lebedev1976]]
2821 : !chvd
2822 : !chvd [6] V.I. Lebedev
2823 : !chvd "Values of the nodes and weights of ninth to seventeenth
2824 : !chvd order Gauss-Markov quadrature formulae invariant under the
2825 : !chvd octahedron group with inversion"
2826 : !chvd Computational Mathematics and Mathematical Physics, Vol. 15, 1975, pp. 44-51. [[cite:Lebedev1975]]
2827 : !chvd
2828 0 : N=1
2829 0 : V=0.7777160743261247D-4
2830 0 : Call GEN_OH( 1, N, X(N), Y(N), Z(N), W(N), A, B, V)
2831 0 : V=0.7557646413004701D-3
2832 0 : Call GEN_OH( 3, N, X(N), Y(N), Z(N), W(N), A, B, V)
2833 0 : A=0.3229290663413854D-1
2834 0 : V=0.2841633806090617D-3
2835 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2836 0 : A=0.8036733271462222D-1
2837 0 : V=0.4374419127053555D-3
2838 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2839 0 : A=0.1354289960531653D+0
2840 0 : V=0.5417174740872172D-3
2841 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2842 0 : A=0.1938963861114426D+0
2843 0 : V=0.6148000891358593D-3
2844 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2845 0 : A=0.2537343715011275D+0
2846 0 : V=0.6664394485800705D-3
2847 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2848 0 : A=0.3135251434752570D+0
2849 0 : V=0.7025039356923220D-3
2850 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2851 0 : A=0.3721558339375338D+0
2852 0 : V=0.7268511789249627D-3
2853 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2854 0 : A=0.4286809575195696D+0
2855 0 : V=0.7422637534208629D-3
2856 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2857 0 : A=0.4822510128282994D+0
2858 0 : V=0.7509545035841214D-3
2859 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2860 0 : A=0.5320679333566263D+0
2861 0 : V=0.7548535057718401D-3
2862 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2863 0 : A=0.6172998195394274D+0
2864 0 : V=0.7554088969774001D-3
2865 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2866 0 : A=0.6510679849127481D+0
2867 0 : V=0.7553147174442808D-3
2868 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2869 0 : A=0.6777315251687360D+0
2870 0 : V=0.7564767653292297D-3
2871 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2872 0 : A=0.6963109410648741D+0
2873 0 : V=0.7587991808518730D-3
2874 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2875 0 : A=0.7058935009831749D+0
2876 0 : V=0.7608261832033027D-3
2877 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
2878 0 : A=0.9955546194091857D+0
2879 0 : V=0.4021680447874916D-3
2880 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
2881 0 : A=0.9734115901794209D+0
2882 0 : V=0.5804871793945964D-3
2883 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
2884 0 : A=0.9275693732388626D+0
2885 0 : V=0.6792151955945159D-3
2886 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
2887 0 : A=0.8568022422795103D+0
2888 0 : V=0.7336741211286294D-3
2889 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
2890 0 : A=0.7623495553719372D+0
2891 0 : V=0.7581866300989608D-3
2892 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
2893 0 : A=0.5707522908892223D+0
2894 0 : B=0.4387028039889501D+0
2895 0 : V=0.7538257859800743D-3
2896 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2897 0 : A=0.5196463388403083D+0
2898 0 : B=0.3858908414762617D+0
2899 0 : V=0.7483517247053123D-3
2900 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2901 0 : A=0.4646337531215351D+0
2902 0 : B=0.3301937372343854D+0
2903 0 : V=0.7371763661112059D-3
2904 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2905 0 : A=0.4063901697557691D+0
2906 0 : B=0.2725423573563777D+0
2907 0 : V=0.7183448895756934D-3
2908 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2909 0 : A=0.3456329466643087D+0
2910 0 : B=0.2139510237495250D+0
2911 0 : V=0.6895815529822191D-3
2912 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2913 0 : A=0.2831395121050332D+0
2914 0 : B=0.1555922309786647D+0
2915 0 : V=0.6480105801792886D-3
2916 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2917 0 : A=0.2197682022925330D+0
2918 0 : B=0.9892878979686097D-1
2919 0 : V=0.5897558896594636D-3
2920 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2921 0 : A=0.1564696098650355D+0
2922 0 : B=0.4598642910675510D-1
2923 0 : V=0.5095708849247346D-3
2924 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2925 0 : A=0.6027356673721295D+0
2926 0 : B=0.3376625140173426D+0
2927 0 : V=0.7536906428909755D-3
2928 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2929 0 : A=0.5496032320255096D+0
2930 0 : B=0.2822301309727988D+0
2931 0 : V=0.7472505965575118D-3
2932 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2933 0 : A=0.4921707755234567D+0
2934 0 : B=0.2248632342592540D+0
2935 0 : V=0.7343017132279698D-3
2936 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2937 0 : A=0.4309422998598483D+0
2938 0 : B=0.1666224723456479D+0
2939 0 : V=0.7130871582177445D-3
2940 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2941 0 : A=0.3664108182313672D+0
2942 0 : B=0.1086964901822169D+0
2943 0 : V=0.6817022032112776D-3
2944 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2945 0 : A=0.2990189057758436D+0
2946 0 : B=0.5251989784120085D-1
2947 0 : V=0.6380941145604121D-3
2948 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2949 0 : A=0.6268724013144998D+0
2950 0 : B=0.2297523657550023D+0
2951 0 : V=0.7550381377920310D-3
2952 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2953 0 : A=0.5707324144834607D+0
2954 0 : B=0.1723080607093800D+0
2955 0 : V=0.7478646640144802D-3
2956 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2957 0 : A=0.5096360901960365D+0
2958 0 : B=0.1140238465390513D+0
2959 0 : V=0.7335918720601220D-3
2960 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2961 0 : A=0.4438729938312456D+0
2962 0 : B=0.5611522095882537D-1
2963 0 : V=0.7110120527658118D-3
2964 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2965 0 : A=0.6419978471082389D+0
2966 0 : B=0.1164174423140873D+0
2967 0 : V=0.7571363978689501D-3
2968 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2969 0 : A=0.5817218061802611D+0
2970 0 : B=0.5797589531445219D-1
2971 0 : V=0.7489908329079234D-3
2972 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
2973 0 : N=N-1
2974 0 : end subroutine LD1454
2975 : !!***
2976 :
2977 0 : SUBROUTINE LD1730(X,Y,Z,W,N)
2978 :
2979 : DOUBLE PRECISION X(1730)
2980 : DOUBLE PRECISION Y(1730)
2981 : DOUBLE PRECISION Z(1730)
2982 : DOUBLE PRECISION W(1730)
2983 : INTEGER N
2984 : DOUBLE PRECISION A,B,V
2985 : !CVW
2986 : !CVW LEBEDEV 1730-POINT ANGULAR GRID
2987 : !CVW
2988 : !chvd
2989 : !chvd This subroutine is part of a set of subroutines that generate
2990 : !chvd Lebedev grids [1-6] for integration on a sphere. The original
2991 : !chvd C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
2992 : !chvd translated into fortran by Dr. Christoph van Wuellen.
2993 : !chvd This subroutine was translated using a C to fortran77 conversion
2994 : !chvd tool written by Dr. Christoph van Wuellen.
2995 : !chvd
2996 : !chvd Users of this code are asked to include reference [1] in their
2997 : !chvd publications, and in the user- and programmers-manuals
2998 : !chvd describing their codes.
2999 : !chvd
3000 : !chvd This code was distributed through CCL (http://www.ccl.net/).
3001 : !chvd
3002 : !chvd [1] V.I. Lebedev, and D.N. Laikov
3003 : !chvd "A quadrature formula for the sphere of the 131st
3004 : !chvd algebraic order of accuracy"
3005 : !chvd Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481. [[cite:Lebedev1999]]
3006 : !chvd
3007 : !chvd [2] V.I. Lebedev
3008 : !chvd "A quadrature formula for the sphere of 59th algebraic
3009 : !chvd order of accuracy"
3010 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286. [[cite:Lebedev1995]]
3011 : !chvd
3012 : !chvd [3] V.I. Lebedev, and A.L. Skorokhodov
3013 : !chvd "Quadrature formulas of orders 41, 47, and 53 for the sphere"
3014 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592. [[cite:Lebedev1992]]
3015 : !chvd
3016 : !chvd [4] V.I. Lebedev
3017 : !chvd "Spherical quadrature formulas exact to orders 25-29"
3018 : !chvd Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107. [[cite:Lebedev1977]]
3019 : !chvd
3020 : !chvd [5] V.I. Lebedev
3021 : !chvd "Quadratures on a sphere"
3022 : !chvd Computational Mathematics and Mathematical Physics, Vol. 16, 1976, pp. 10-24. [[cite:Lebedev1976]]
3023 : !chvd
3024 : !chvd [6] V.I. Lebedev
3025 : !chvd "Values of the nodes and weights of ninth to seventeenth
3026 : !chvd order Gauss-Markov quadrature formulae invariant under the
3027 : !chvd octahedron group with inversion"
3028 : !chvd Computational Mathematics and Mathematical Physics, Vol. 15, 1975, pp. 44-51. [[cite:Lebedev1975]]
3029 : !chvd
3030 0 : N=1
3031 0 : V=0.6309049437420976D-4
3032 0 : Call GEN_OH( 1, N, X(N), Y(N), Z(N), W(N), A, B, V)
3033 0 : V=0.6398287705571748D-3
3034 0 : Call GEN_OH( 2, N, X(N), Y(N), Z(N), W(N), A, B, V)
3035 0 : V=0.6357185073530720D-3
3036 0 : Call GEN_OH( 3, N, X(N), Y(N), Z(N), W(N), A, B, V)
3037 0 : A=0.2860923126194662D-1
3038 0 : V=0.2221207162188168D-3
3039 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3040 0 : A=0.7142556767711522D-1
3041 0 : V=0.3475784022286848D-3
3042 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3043 0 : A=0.1209199540995559D+0
3044 0 : V=0.4350742443589804D-3
3045 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3046 0 : A=0.1738673106594379D+0
3047 0 : V=0.4978569136522127D-3
3048 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3049 0 : A=0.2284645438467734D+0
3050 0 : V=0.5435036221998053D-3
3051 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3052 0 : A=0.2834807671701512D+0
3053 0 : V=0.5765913388219542D-3
3054 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3055 0 : A=0.3379680145467339D+0
3056 0 : V=0.6001200359226003D-3
3057 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3058 0 : A=0.3911355454819537D+0
3059 0 : V=0.6162178172717512D-3
3060 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3061 0 : A=0.4422860353001403D+0
3062 0 : V=0.6265218152438485D-3
3063 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3064 0 : A=0.4907781568726057D+0
3065 0 : V=0.6323987160974212D-3
3066 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3067 0 : A=0.5360006153211468D+0
3068 0 : V=0.6350767851540569D-3
3069 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3070 0 : A=0.6142105973596603D+0
3071 0 : V=0.6354362775297107D-3
3072 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3073 0 : A=0.6459300387977504D+0
3074 0 : V=0.6352302462706235D-3
3075 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3076 0 : A=0.6718056125089225D+0
3077 0 : V=0.6358117881417972D-3
3078 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3079 0 : A=0.6910888533186254D+0
3080 0 : V=0.6373101590310117D-3
3081 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3082 0 : A=0.7030467416823252D+0
3083 0 : V=0.6390428961368665D-3
3084 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3085 0 : A=0.8354951166354646D-1
3086 0 : V=0.3186913449946576D-3
3087 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
3088 0 : A=0.2050143009099486D+0
3089 0 : V=0.4678028558591711D-3
3090 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
3091 0 : A=0.3370208290706637D+0
3092 0 : V=0.5538829697598626D-3
3093 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
3094 0 : A=0.4689051484233963D+0
3095 0 : V=0.6044475907190476D-3
3096 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
3097 0 : A=0.5939400424557334D+0
3098 0 : V=0.6313575103509012D-3
3099 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
3100 0 : A=0.1394983311832261D+0
3101 0 : B=0.4097581162050343D-1
3102 0 : V=0.4078626431855630D-3
3103 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3104 0 : A=0.1967999180485014D+0
3105 0 : B=0.8851987391293348D-1
3106 0 : V=0.4759933057812725D-3
3107 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3108 0 : A=0.2546183732548967D+0
3109 0 : B=0.1397680182969819D+0
3110 0 : V=0.5268151186413440D-3
3111 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3112 0 : A=0.3121281074713875D+0
3113 0 : B=0.1929452542226526D+0
3114 0 : V=0.5643048560507316D-3
3115 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3116 0 : A=0.3685981078502492D+0
3117 0 : B=0.2467898337061562D+0
3118 0 : V=0.5914501076613073D-3
3119 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3120 0 : A=0.4233760321547856D+0
3121 0 : B=0.3003104124785409D+0
3122 0 : V=0.6104561257874195D-3
3123 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3124 0 : A=0.4758671236059246D+0
3125 0 : B=0.3526684328175033D+0
3126 0 : V=0.6230252860707806D-3
3127 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3128 0 : A=0.5255178579796463D+0
3129 0 : B=0.4031134861145713D+0
3130 0 : V=0.6305618761760796D-3
3131 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3132 0 : A=0.5718025633734589D+0
3133 0 : B=0.4509426448342351D+0
3134 0 : V=0.6343092767597889D-3
3135 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3136 0 : A=0.2686927772723415D+0
3137 0 : B=0.4711322502423248D-1
3138 0 : V=0.5176268945737826D-3
3139 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3140 0 : A=0.3306006819904809D+0
3141 0 : B=0.9784487303942695D-1
3142 0 : V=0.5564840313313692D-3
3143 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3144 0 : A=0.3904906850594983D+0
3145 0 : B=0.1505395810025273D+0
3146 0 : V=0.5856426671038980D-3
3147 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3148 0 : A=0.4479957951904390D+0
3149 0 : B=0.2039728156296050D+0
3150 0 : V=0.6066386925777091D-3
3151 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3152 0 : A=0.5027076848919780D+0
3153 0 : B=0.2571529941121107D+0
3154 0 : V=0.6208824962234458D-3
3155 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3156 0 : A=0.5542087392260217D+0
3157 0 : B=0.3092191375815670D+0
3158 0 : V=0.6296314297822907D-3
3159 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3160 0 : A=0.6020850887375187D+0
3161 0 : B=0.3593807506130276D+0
3162 0 : V=0.6340423756791859D-3
3163 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3164 0 : A=0.4019851409179594D+0
3165 0 : B=0.5063389934378671D-1
3166 0 : V=0.5829627677107342D-3
3167 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3168 0 : A=0.4635614567449800D+0
3169 0 : B=0.1032422269160612D+0
3170 0 : V=0.6048693376081110D-3
3171 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3172 0 : A=0.5215860931591575D+0
3173 0 : B=0.1566322094006254D+0
3174 0 : V=0.6202362317732461D-3
3175 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3176 0 : A=0.5758202499099271D+0
3177 0 : B=0.2098082827491099D+0
3178 0 : V=0.6299005328403779D-3
3179 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3180 0 : A=0.6259893683876795D+0
3181 0 : B=0.2618824114553391D+0
3182 0 : V=0.6347722390609353D-3
3183 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3184 0 : A=0.5313795124811891D+0
3185 0 : B=0.5263245019338556D-1
3186 0 : V=0.6203778981238834D-3
3187 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3188 0 : A=0.5893317955931995D+0
3189 0 : B=0.1061059730982005D+0
3190 0 : V=0.6308414671239979D-3
3191 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3192 0 : A=0.6426246321215801D+0
3193 0 : B=0.1594171564034221D+0
3194 0 : V=0.6362706466959498D-3
3195 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3196 0 : A=0.6511904367376113D+0
3197 0 : B=0.5354789536565540D-1
3198 0 : V=0.6375414170333233D-3
3199 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3200 0 : N=N-1
3201 0 : end subroutine LD1730
3202 : !!***
3203 :
3204 0 : SUBROUTINE LD2030(X,Y,Z,W,N)
3205 :
3206 : DOUBLE PRECISION X(2030)
3207 : DOUBLE PRECISION Y(2030)
3208 : DOUBLE PRECISION Z(2030)
3209 : DOUBLE PRECISION W(2030)
3210 : INTEGER N
3211 : DOUBLE PRECISION A,B,V
3212 : !CVW
3213 : !CVW LEBEDEV 2030-POINT ANGULAR GRID
3214 : !CVW
3215 : !chvd
3216 : !chvd This subroutine is part of a set of subroutines that generate
3217 : !chvd Lebedev grids [1-6] for integration on a sphere. The original
3218 : !chvd C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
3219 : !chvd translated into fortran by Dr. Christoph van Wuellen.
3220 : !chvd This subroutine was translated using a C to fortran77 conversion
3221 : !chvd tool written by Dr. Christoph van Wuellen.
3222 : !chvd
3223 : !chvd Users of this code are asked to include reference [1] in their
3224 : !chvd publications, and in the user- and programmers-manuals
3225 : !chvd describing their codes.
3226 : !chvd
3227 : !chvd This code was distributed through CCL (http://www.ccl.net/).
3228 : !chvd
3229 : !chvd [1] V.I. Lebedev, and D.N. Laikov
3230 : !chvd "A quadrature formula for the sphere of the 131st
3231 : !chvd algebraic order of accuracy"
3232 : !chvd Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481. [[cite:Lebedev1999]]
3233 : !chvd
3234 : !chvd [2] V.I. Lebedev
3235 : !chvd "A quadrature formula for the sphere of 59th algebraic
3236 : !chvd order of accuracy"
3237 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286. [[cite:Lebedev1995]]
3238 : !chvd
3239 : !chvd [3] V.I. Lebedev, and A.L. Skorokhodov
3240 : !chvd "Quadrature formulas of orders 41, 47, and 53 for the sphere"
3241 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592. [[cite:Lebedev1992]]
3242 : !chvd
3243 : !chvd [4] V.I. Lebedev
3244 : !chvd "Spherical quadrature formulas exact to orders 25-29"
3245 : !chvd Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107. [[cite:Lebedev1977]]
3246 : !chvd
3247 : !chvd [5] V.I. Lebedev
3248 : !chvd "Quadratures on a sphere"
3249 : !chvd Computational Mathematics and Mathematical Physics, Vol. 16, 1976, pp. 10-24. [[cite:Lebedev1976]]
3250 : !chvd
3251 : !chvd [6] V.I. Lebedev
3252 : !chvd "Values of the nodes and weights of ninth to seventeenth
3253 : !chvd order Gauss-Markov quadrature formulae invariant under the
3254 : !chvd octahedron group with inversion"
3255 : !chvd Computational Mathematics and Mathematical Physics, Vol. 15, 1975, pp. 44-51. [[cite:Lebedev1975]]
3256 : !chvd
3257 0 : N=1
3258 0 : V=0.4656031899197431D-4
3259 0 : Call GEN_OH( 1, N, X(N), Y(N), Z(N), W(N), A, B, V)
3260 0 : V=0.5421549195295507D-3
3261 0 : Call GEN_OH( 3, N, X(N), Y(N), Z(N), W(N), A, B, V)
3262 0 : A=0.2540835336814348D-1
3263 0 : V=0.1778522133346553D-3
3264 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3265 0 : A=0.6399322800504915D-1
3266 0 : V=0.2811325405682796D-3
3267 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3268 0 : A=0.1088269469804125D+0
3269 0 : V=0.3548896312631459D-3
3270 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3271 0 : A=0.1570670798818287D+0
3272 0 : V=0.4090310897173364D-3
3273 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3274 0 : A=0.2071163932282514D+0
3275 0 : V=0.4493286134169965D-3
3276 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3277 0 : A=0.2578914044450844D+0
3278 0 : V=0.4793728447962723D-3
3279 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3280 0 : A=0.3085687558169623D+0
3281 0 : V=0.5015415319164265D-3
3282 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3283 0 : A=0.3584719706267024D+0
3284 0 : V=0.5175127372677937D-3
3285 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3286 0 : A=0.4070135594428709D+0
3287 0 : V=0.5285522262081019D-3
3288 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3289 0 : A=0.4536618626222638D+0
3290 0 : V=0.5356832703713962D-3
3291 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3292 0 : A=0.4979195686463577D+0
3293 0 : V=0.5397914736175170D-3
3294 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3295 0 : A=0.5393075111126999D+0
3296 0 : V=0.5416899441599930D-3
3297 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3298 0 : A=0.6115617676843916D+0
3299 0 : V=0.5419308476889938D-3
3300 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3301 0 : A=0.6414308435160159D+0
3302 0 : V=0.5416936902030596D-3
3303 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3304 0 : A=0.6664099412721607D+0
3305 0 : V=0.5419544338703164D-3
3306 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3307 0 : A=0.6859161771214913D+0
3308 0 : V=0.5428983656630975D-3
3309 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3310 0 : A=0.6993625593503890D+0
3311 0 : V=0.5442286500098193D-3
3312 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3313 0 : A=0.7062393387719380D+0
3314 0 : V=0.5452250345057301D-3
3315 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3316 0 : A=0.7479028168349763D-1
3317 0 : V=0.2568002497728530D-3
3318 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
3319 0 : A=0.1848951153969366D+0
3320 0 : V=0.3827211700292145D-3
3321 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
3322 0 : A=0.3059529066581305D+0
3323 0 : V=0.4579491561917824D-3
3324 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
3325 0 : A=0.4285556101021362D+0
3326 0 : V=0.5042003969083574D-3
3327 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
3328 0 : A=0.5468758653496526D+0
3329 0 : V=0.5312708889976025D-3
3330 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
3331 0 : A=0.6565821978343439D+0
3332 0 : V=0.5438401790747117D-3
3333 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
3334 0 : A=0.1253901572367117D+0
3335 0 : B=0.3681917226439641D-1
3336 0 : V=0.3316041873197344D-3
3337 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3338 0 : A=0.1775721510383941D+0
3339 0 : B=0.7982487607213301D-1
3340 0 : V=0.3899113567153771D-3
3341 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3342 0 : A=0.2305693358216114D+0
3343 0 : B=0.1264640966592335D+0
3344 0 : V=0.4343343327201309D-3
3345 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3346 0 : A=0.2836502845992063D+0
3347 0 : B=0.1751585683418957D+0
3348 0 : V=0.4679415262318919D-3
3349 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3350 0 : A=0.3361794746232590D+0
3351 0 : B=0.2247995907632670D+0
3352 0 : V=0.4930847981631031D-3
3353 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3354 0 : A=0.3875979172264824D+0
3355 0 : B=0.2745299257422246D+0
3356 0 : V=0.5115031867540091D-3
3357 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3358 0 : A=0.4374019316999074D+0
3359 0 : B=0.3236373482441118D+0
3360 0 : V=0.5245217148457367D-3
3361 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3362 0 : A=0.4851275843340022D+0
3363 0 : B=0.3714967859436741D+0
3364 0 : V=0.5332041499895321D-3
3365 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3366 0 : A=0.5303391803806868D+0
3367 0 : B=0.4175353646321745D+0
3368 0 : V=0.5384583126021542D-3
3369 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3370 0 : A=0.5726197380596287D+0
3371 0 : B=0.4612084406355461D+0
3372 0 : V=0.5411067210798852D-3
3373 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3374 0 : A=0.2431520732564863D+0
3375 0 : B=0.4258040133043952D-1
3376 0 : V=0.4259797391468714D-3
3377 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3378 0 : A=0.3002096800895869D+0
3379 0 : B=0.8869424306722721D-1
3380 0 : V=0.4604931368460021D-3
3381 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3382 0 : A=0.3558554457457432D+0
3383 0 : B=0.1368811706510655D+0
3384 0 : V=0.4871814878255202D-3
3385 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3386 0 : A=0.4097782537048887D+0
3387 0 : B=0.1860739985015033D+0
3388 0 : V=0.5072242910074885D-3
3389 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3390 0 : A=0.4616337666067458D+0
3391 0 : B=0.2354235077395853D+0
3392 0 : V=0.5217069845235350D-3
3393 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3394 0 : A=0.5110707008417874D+0
3395 0 : B=0.2842074921347011D+0
3396 0 : V=0.5315785966280310D-3
3397 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3398 0 : A=0.5577415286163795D+0
3399 0 : B=0.3317784414984102D+0
3400 0 : V=0.5376833708758905D-3
3401 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3402 0 : A=0.6013060431366950D+0
3403 0 : B=0.3775299002040700D+0
3404 0 : V=0.5408032092069521D-3
3405 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3406 0 : A=0.3661596767261781D+0
3407 0 : B=0.4599367887164592D-1
3408 0 : V=0.4842744917904866D-3
3409 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3410 0 : A=0.4237633153506581D+0
3411 0 : B=0.9404893773654421D-1
3412 0 : V=0.5048926076188130D-3
3413 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3414 0 : A=0.4786328454658452D+0
3415 0 : B=0.1431377109091971D+0
3416 0 : V=0.5202607980478373D-3
3417 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3418 0 : A=0.5305702076789774D+0
3419 0 : B=0.1924186388843570D+0
3420 0 : V=0.5309932388325743D-3
3421 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3422 0 : A=0.5793436224231788D+0
3423 0 : B=0.2411590944775190D+0
3424 0 : V=0.5377419770895208D-3
3425 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3426 0 : A=0.6247069017094747D+0
3427 0 : B=0.2886871491583605D+0
3428 0 : V=0.5411696331677717D-3
3429 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3430 0 : A=0.4874315552535204D+0
3431 0 : B=0.4804978774953206D-1
3432 0 : V=0.5197996293282420D-3
3433 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3434 0 : A=0.5427337322059053D+0
3435 0 : B=0.9716857199366665D-1
3436 0 : V=0.5311120836622945D-3
3437 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3438 0 : A=0.5943493747246700D+0
3439 0 : B=0.1465205839795055D+0
3440 0 : V=0.5384309319956951D-3
3441 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3442 0 : A=0.6421314033564943D+0
3443 0 : B=0.1953579449803574D+0
3444 0 : V=0.5421859504051886D-3
3445 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3446 0 : A=0.6020628374713980D+0
3447 0 : B=0.4916375015738108D-1
3448 0 : V=0.5390948355046314D-3
3449 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3450 0 : A=0.6529222529856881D+0
3451 0 : B=0.9861621540127005D-1
3452 0 : V=0.5433312705027845D-3
3453 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3454 0 : N=N-1
3455 0 : end subroutine LD2030
3456 : !!***
3457 :
3458 0 : SUBROUTINE LD2354(X,Y,Z,W,N)
3459 :
3460 : DOUBLE PRECISION X(2354)
3461 : DOUBLE PRECISION Y(2354)
3462 : DOUBLE PRECISION Z(2354)
3463 : DOUBLE PRECISION W(2354)
3464 : INTEGER N
3465 : DOUBLE PRECISION A,B,V
3466 : !CVW
3467 : !CVW LEBEDEV 2354-POINT ANGULAR GRID
3468 : !CVW
3469 : !chvd
3470 : !chvd This subroutine is part of a set of subroutines that generate
3471 : !chvd Lebedev grids [1-6] for integration on a sphere. The original
3472 : !chvd C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
3473 : !chvd translated into fortran by Dr. Christoph van Wuellen.
3474 : !chvd This subroutine was translated using a C to fortran77 conversion
3475 : !chvd tool written by Dr. Christoph van Wuellen.
3476 : !chvd
3477 : !chvd Users of this code are asked to include reference [1] in their
3478 : !chvd publications, and in the user- and programmers-manuals
3479 : !chvd describing their codes.
3480 : !chvd
3481 : !chvd This code was distributed through CCL (http://www.ccl.net/).
3482 : !chvd
3483 : !chvd [1] V.I. Lebedev, and D.N. Laikov
3484 : !chvd "A quadrature formula for the sphere of the 131st
3485 : !chvd algebraic order of accuracy"
3486 : !chvd Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481. [[cite:Lebedev1999]]
3487 : !chvd
3488 : !chvd [2] V.I. Lebedev
3489 : !chvd "A quadrature formula for the sphere of 59th algebraic
3490 : !chvd order of accuracy"
3491 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286. [[cite:Lebedev1995]]
3492 : !chvd
3493 : !chvd [3] V.I. Lebedev, and A.L. Skorokhodov
3494 : !chvd "Quadrature formulas of orders 41, 47, and 53 for the sphere"
3495 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592. [[cite:Lebedev1992]]
3496 : !chvd
3497 : !chvd [4] V.I. Lebedev
3498 : !chvd "Spherical quadrature formulas exact to orders 25-29"
3499 : !chvd Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107. [[cite:Lebedev1977]]
3500 : !chvd
3501 : !chvd [5] V.I. Lebedev
3502 : !chvd "Quadratures on a sphere"
3503 : !chvd Computational Mathematics and Mathematical Physics, Vol. 16, 1976, pp. 10-24. [[cite:Lebedev1976]]
3504 : !chvd
3505 : !chvd [6] V.I. Lebedev
3506 : !chvd "Values of the nodes and weights of ninth to seventeenth
3507 : !chvd order Gauss-Markov quadrature formulae invariant under the
3508 : !chvd octahedron group with inversion"
3509 : !chvd Computational Mathematics and Mathematical Physics, Vol. 15, 1975, pp. 44-51. [[cite:Lebedev1975]]
3510 : !chvd
3511 0 : N=1
3512 0 : V=0.3922616270665292D-4
3513 0 : Call GEN_OH( 1, N, X(N), Y(N), Z(N), W(N), A, B, V)
3514 0 : V=0.4703831750854424D-3
3515 0 : Call GEN_OH( 2, N, X(N), Y(N), Z(N), W(N), A, B, V)
3516 0 : V=0.4678202801282136D-3
3517 0 : Call GEN_OH( 3, N, X(N), Y(N), Z(N), W(N), A, B, V)
3518 0 : A=0.2290024646530589D-1
3519 0 : V=0.1437832228979900D-3
3520 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3521 0 : A=0.5779086652271284D-1
3522 0 : V=0.2303572493577644D-3
3523 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3524 0 : A=0.9863103576375984D-1
3525 0 : V=0.2933110752447454D-3
3526 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3527 0 : A=0.1428155792982185D+0
3528 0 : V=0.3402905998359838D-3
3529 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3530 0 : A=0.1888978116601463D+0
3531 0 : V=0.3759138466870372D-3
3532 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3533 0 : A=0.2359091682970210D+0
3534 0 : V=0.4030638447899798D-3
3535 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3536 0 : A=0.2831228833706171D+0
3537 0 : V=0.4236591432242211D-3
3538 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3539 0 : A=0.3299495857966693D+0
3540 0 : V=0.4390522656946746D-3
3541 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3542 0 : A=0.3758840802660796D+0
3543 0 : V=0.4502523466626247D-3
3544 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3545 0 : A=0.4204751831009480D+0
3546 0 : V=0.4580577727783541D-3
3547 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3548 0 : A=0.4633068518751051D+0
3549 0 : V=0.4631391616615899D-3
3550 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3551 0 : A=0.5039849474507313D+0
3552 0 : V=0.4660928953698676D-3
3553 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3554 0 : A=0.5421265793440747D+0
3555 0 : V=0.4674751807936953D-3
3556 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3557 0 : A=0.6092660230557310D+0
3558 0 : V=0.4676414903932920D-3
3559 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3560 0 : A=0.6374654204984869D+0
3561 0 : V=0.4674086492347870D-3
3562 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3563 0 : A=0.6615136472609892D+0
3564 0 : V=0.4674928539483207D-3
3565 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3566 0 : A=0.6809487285958127D+0
3567 0 : V=0.4680748979686447D-3
3568 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3569 0 : A=0.6952980021665196D+0
3570 0 : V=0.4690449806389040D-3
3571 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3572 0 : A=0.7041245497695400D+0
3573 0 : V=0.4699877075860818D-3
3574 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3575 0 : A=0.6744033088306065D-1
3576 0 : V=0.2099942281069176D-3
3577 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
3578 0 : A=0.1678684485334166D+0
3579 0 : V=0.3172269150712804D-3
3580 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
3581 0 : A=0.2793559049539613D+0
3582 0 : V=0.3832051358546523D-3
3583 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
3584 0 : A=0.3935264218057639D+0
3585 0 : V=0.4252193818146985D-3
3586 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
3587 0 : A=0.5052629268232558D+0
3588 0 : V=0.4513807963755000D-3
3589 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
3590 0 : A=0.6107905315437531D+0
3591 0 : V=0.4657797469114178D-3
3592 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
3593 0 : A=0.1135081039843524D+0
3594 0 : B=0.3331954884662588D-1
3595 0 : V=0.2733362800522836D-3
3596 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3597 0 : A=0.1612866626099378D+0
3598 0 : B=0.7247167465436538D-1
3599 0 : V=0.3235485368463559D-3
3600 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3601 0 : A=0.2100786550168205D+0
3602 0 : B=0.1151539110849745D+0
3603 0 : V=0.3624908726013453D-3
3604 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3605 0 : A=0.2592282009459942D+0
3606 0 : B=0.1599491097143677D+0
3607 0 : V=0.3925540070712828D-3
3608 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3609 0 : A=0.3081740561320203D+0
3610 0 : B=0.2058699956028027D+0
3611 0 : V=0.4156129781116235D-3
3612 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3613 0 : A=0.3564289781578164D+0
3614 0 : B=0.2521624953502911D+0
3615 0 : V=0.4330644984623263D-3
3616 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3617 0 : A=0.4035587288240703D+0
3618 0 : B=0.2982090785797674D+0
3619 0 : V=0.4459677725921312D-3
3620 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3621 0 : A=0.4491671196373903D+0
3622 0 : B=0.3434762087235733D+0
3623 0 : V=0.4551593004456795D-3
3624 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3625 0 : A=0.4928854782917489D+0
3626 0 : B=0.3874831357203437D+0
3627 0 : V=0.4613341462749918D-3
3628 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3629 0 : A=0.5343646791958988D+0
3630 0 : B=0.4297814821746926D+0
3631 0 : V=0.4651019618269806D-3
3632 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3633 0 : A=0.5732683216530990D+0
3634 0 : B=0.4699402260943537D+0
3635 0 : V=0.4670249536100625D-3
3636 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3637 0 : A=0.2214131583218986D+0
3638 0 : B=0.3873602040643895D-1
3639 0 : V=0.3549555576441708D-3
3640 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3641 0 : A=0.2741796504750071D+0
3642 0 : B=0.8089496256902013D-1
3643 0 : V=0.3856108245249010D-3
3644 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3645 0 : A=0.3259797439149485D+0
3646 0 : B=0.1251732177620872D+0
3647 0 : V=0.4098622845756882D-3
3648 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3649 0 : A=0.3765441148826891D+0
3650 0 : B=0.1706260286403185D+0
3651 0 : V=0.4286328604268950D-3
3652 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3653 0 : A=0.4255773574530558D+0
3654 0 : B=0.2165115147300408D+0
3655 0 : V=0.4427802198993945D-3
3656 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3657 0 : A=0.4727795117058430D+0
3658 0 : B=0.2622089812225259D+0
3659 0 : V=0.4530473511488561D-3
3660 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3661 0 : A=0.5178546895819012D+0
3662 0 : B=0.3071721431296201D+0
3663 0 : V=0.4600805475703138D-3
3664 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3665 0 : A=0.5605141192097460D+0
3666 0 : B=0.3508998998801138D+0
3667 0 : V=0.4644599059958017D-3
3668 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3669 0 : A=0.6004763319352512D+0
3670 0 : B=0.3929160876166931D+0
3671 0 : V=0.4667274455712508D-3
3672 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3673 0 : A=0.3352842634946949D+0
3674 0 : B=0.4202563457288019D-1
3675 0 : V=0.4069360518020356D-3
3676 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3677 0 : A=0.3891971629814670D+0
3678 0 : B=0.8614309758870850D-1
3679 0 : V=0.4260442819919195D-3
3680 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3681 0 : A=0.4409875565542281D+0
3682 0 : B=0.1314500879380001D+0
3683 0 : V=0.4408678508029063D-3
3684 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3685 0 : A=0.4904893058592484D+0
3686 0 : B=0.1772189657383859D+0
3687 0 : V=0.4518748115548597D-3
3688 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3689 0 : A=0.5375056138769549D+0
3690 0 : B=0.2228277110050294D+0
3691 0 : V=0.4595564875375116D-3
3692 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3693 0 : A=0.5818255708669969D+0
3694 0 : B=0.2677179935014386D+0
3695 0 : V=0.4643988774315846D-3
3696 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3697 0 : A=0.6232334858144959D+0
3698 0 : B=0.3113675035544165D+0
3699 0 : V=0.4668827491646946D-3
3700 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3701 0 : A=0.4489485354492058D+0
3702 0 : B=0.4409162378368174D-1
3703 0 : V=0.4400541823741973D-3
3704 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3705 0 : A=0.5015136875933150D+0
3706 0 : B=0.8939009917748489D-1
3707 0 : V=0.4514512890193797D-3
3708 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3709 0 : A=0.5511300550512623D+0
3710 0 : B=0.1351806029383365D+0
3711 0 : V=0.4596198627347549D-3
3712 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3713 0 : A=0.5976720409858000D+0
3714 0 : B=0.1808370355053196D+0
3715 0 : V=0.4648659016801781D-3
3716 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3717 0 : A=0.6409956378989354D+0
3718 0 : B=0.2257852192301602D+0
3719 0 : V=0.4675502017157673D-3
3720 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3721 0 : A=0.5581222330827514D+0
3722 0 : B=0.4532173421637160D-1
3723 0 : V=0.4598494476455523D-3
3724 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3725 0 : A=0.6074705984161695D+0
3726 0 : B=0.9117488031840314D-1
3727 0 : V=0.4654916955152048D-3
3728 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3729 0 : A=0.6532272537379033D+0
3730 0 : B=0.1369294213140155D+0
3731 0 : V=0.4684709779505137D-3
3732 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3733 0 : A=0.6594761494500487D+0
3734 0 : B=0.4589901487275583D-1
3735 0 : V=0.4691445539106986D-3
3736 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3737 0 : N=N-1
3738 0 : end subroutine LD2354
3739 : !!***
3740 :
3741 0 : SUBROUTINE LD2702(X,Y,Z,W,N)
3742 :
3743 : DOUBLE PRECISION X(2702)
3744 : DOUBLE PRECISION Y(2702)
3745 : DOUBLE PRECISION Z(2702)
3746 : DOUBLE PRECISION W(2702)
3747 : INTEGER N
3748 : DOUBLE PRECISION A,B,V
3749 : !CVW
3750 : !CVW LEBEDEV 2702-POINT ANGULAR GRID
3751 : !CVW
3752 : !chvd
3753 : !chvd This subroutine is part of a set of subroutines that generate
3754 : !chvd Lebedev grids [1-6] for integration on a sphere. The original
3755 : !chvd C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
3756 : !chvd translated into fortran by Dr. Christoph van Wuellen.
3757 : !chvd This subroutine was translated using a C to fortran77 conversion
3758 : !chvd tool written by Dr. Christoph van Wuellen.
3759 : !chvd
3760 : !chvd Users of this code are asked to include reference [1] in their
3761 : !chvd publications, and in the user- and programmers-manuals
3762 : !chvd describing their codes.
3763 : !chvd
3764 : !chvd This code was distributed through CCL (http://www.ccl.net/).
3765 : !chvd
3766 : !chvd [1] V.I. Lebedev, and D.N. Laikov
3767 : !chvd "A quadrature formula for the sphere of the 131st
3768 : !chvd algebraic order of accuracy"
3769 : !chvd Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481. [[cite:Lebedev1999]]
3770 : !chvd
3771 : !chvd [2] V.I. Lebedev
3772 : !chvd "A quadrature formula for the sphere of 59th algebraic
3773 : !chvd order of accuracy"
3774 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286. [[cite:Lebedev1995]]
3775 : !chvd
3776 : !chvd [3] V.I. Lebedev, and A.L. Skorokhodov
3777 : !chvd "Quadrature formulas of orders 41, 47, and 53 for the sphere"
3778 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592. [[cite:Lebedev1992]]
3779 : !chvd
3780 : !chvd [4] V.I. Lebedev
3781 : !chvd "Spherical quadrature formulas exact to orders 25-29"
3782 : !chvd Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107. [[cite:Lebedev1977]]
3783 : !chvd
3784 : !chvd [5] V.I. Lebedev
3785 : !chvd "Quadratures on a sphere"
3786 : !chvd Computational Mathematics and Mathematical Physics, Vol. 16, 1976, pp. 10-24. [[cite:Lebedev1976]]
3787 : !chvd
3788 : !chvd [6] V.I. Lebedev
3789 : !chvd "Values of the nodes and weights of ninth to seventeenth
3790 : !chvd order Gauss-Markov quadrature formulae invariant under the
3791 : !chvd octahedron group with inversion"
3792 : !chvd Computational Mathematics and Mathematical Physics, Vol. 15, 1975, pp. 44-51. [[cite:Lebedev1975]]
3793 : !chvd
3794 0 : N=1
3795 0 : V=0.2998675149888161D-4
3796 0 : Call GEN_OH( 1, N, X(N), Y(N), Z(N), W(N), A, B, V)
3797 0 : V=0.4077860529495355D-3
3798 0 : Call GEN_OH( 3, N, X(N), Y(N), Z(N), W(N), A, B, V)
3799 0 : A=0.2065562538818703D-1
3800 0 : V=0.1185349192520667D-3
3801 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3802 0 : A=0.5250918173022379D-1
3803 0 : V=0.1913408643425751D-3
3804 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3805 0 : A=0.8993480082038376D-1
3806 0 : V=0.2452886577209897D-3
3807 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3808 0 : A=0.1306023924436019D+0
3809 0 : V=0.2862408183288702D-3
3810 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3811 0 : A=0.1732060388531418D+0
3812 0 : V=0.3178032258257357D-3
3813 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3814 0 : A=0.2168727084820249D+0
3815 0 : V=0.3422945667633690D-3
3816 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3817 0 : A=0.2609528309173586D+0
3818 0 : V=0.3612790520235922D-3
3819 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3820 0 : A=0.3049252927938952D+0
3821 0 : V=0.3758638229818521D-3
3822 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3823 0 : A=0.3483484138084404D+0
3824 0 : V=0.3868711798859953D-3
3825 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3826 0 : A=0.3908321549106406D+0
3827 0 : V=0.3949429933189938D-3
3828 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3829 0 : A=0.4320210071894814D+0
3830 0 : V=0.4006068107541156D-3
3831 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3832 0 : A=0.4715824795890053D+0
3833 0 : V=0.4043192149672723D-3
3834 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3835 0 : A=0.5091984794078453D+0
3836 0 : V=0.4064947495808078D-3
3837 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3838 0 : A=0.5445580145650803D+0
3839 0 : V=0.4075245619813152D-3
3840 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3841 0 : A=0.6072575796841768D+0
3842 0 : V=0.4076423540893566D-3
3843 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3844 0 : A=0.6339484505755803D+0
3845 0 : V=0.4074280862251555D-3
3846 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3847 0 : A=0.6570718257486958D+0
3848 0 : V=0.4074163756012244D-3
3849 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3850 0 : A=0.6762557330090709D+0
3851 0 : V=0.4077647795071246D-3
3852 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3853 0 : A=0.6911161696923790D+0
3854 0 : V=0.4084517552782530D-3
3855 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3856 0 : A=0.7012841911659961D+0
3857 0 : V=0.4092468459224052D-3
3858 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3859 0 : A=0.7064559272410020D+0
3860 0 : V=0.4097872687240906D-3
3861 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
3862 0 : A=0.6123554989894765D-1
3863 0 : V=0.1738986811745028D-3
3864 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
3865 0 : A=0.1533070348312393D+0
3866 0 : V=0.2659616045280191D-3
3867 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
3868 0 : A=0.2563902605244206D+0
3869 0 : V=0.3240596008171533D-3
3870 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
3871 0 : A=0.3629346991663361D+0
3872 0 : V=0.3621195964432943D-3
3873 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
3874 0 : A=0.4683949968987538D+0
3875 0 : V=0.3868838330760539D-3
3876 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
3877 0 : A=0.5694479240657952D+0
3878 0 : V=0.4018911532693111D-3
3879 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
3880 0 : A=0.6634465430993955D+0
3881 0 : V=0.4089929432983252D-3
3882 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
3883 0 : A=0.1033958573552305D+0
3884 0 : B=0.3034544009063584D-1
3885 0 : V=0.2279907527706409D-3
3886 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3887 0 : A=0.1473521412414395D+0
3888 0 : B=0.6618803044247135D-1
3889 0 : V=0.2715205490578897D-3
3890 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3891 0 : A=0.1924552158705967D+0
3892 0 : B=0.1054431128987715D+0
3893 0 : V=0.3057917896703976D-3
3894 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3895 0 : A=0.2381094362890328D+0
3896 0 : B=0.1468263551238858D+0
3897 0 : V=0.3326913052452555D-3
3898 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3899 0 : A=0.2838121707936760D+0
3900 0 : B=0.1894486108187886D+0
3901 0 : V=0.3537334711890037D-3
3902 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3903 0 : A=0.3291323133373415D+0
3904 0 : B=0.2326374238761579D+0
3905 0 : V=0.3700567500783129D-3
3906 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3907 0 : A=0.3736896978741460D+0
3908 0 : B=0.2758485808485768D+0
3909 0 : V=0.3825245372589122D-3
3910 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3911 0 : A=0.4171406040760013D+0
3912 0 : B=0.3186179331996921D+0
3913 0 : V=0.3918125171518296D-3
3914 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3915 0 : A=0.4591677985256915D+0
3916 0 : B=0.3605329796303794D+0
3917 0 : V=0.3984720419937579D-3
3918 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3919 0 : A=0.4994733831718418D+0
3920 0 : B=0.4012147253586509D+0
3921 0 : V=0.4029746003338211D-3
3922 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3923 0 : A=0.5377731830445096D+0
3924 0 : B=0.4403050025570692D+0
3925 0 : V=0.4057428632156627D-3
3926 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3927 0 : A=0.5737917830001331D+0
3928 0 : B=0.4774565904277483D+0
3929 0 : V=0.4071719274114857D-3
3930 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3931 0 : A=0.2027323586271389D+0
3932 0 : B=0.3544122504976147D-1
3933 0 : V=0.2990236950664119D-3
3934 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3935 0 : A=0.2516942375187273D+0
3936 0 : B=0.7418304388646328D-1
3937 0 : V=0.3262951734212878D-3
3938 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3939 0 : A=0.3000227995257181D+0
3940 0 : B=0.1150502745727186D+0
3941 0 : V=0.3482634608242413D-3
3942 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3943 0 : A=0.3474806691046342D+0
3944 0 : B=0.1571963371209364D+0
3945 0 : V=0.3656596681700892D-3
3946 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3947 0 : A=0.3938103180359209D+0
3948 0 : B=0.1999631877247100D+0
3949 0 : V=0.3791740467794218D-3
3950 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3951 0 : A=0.4387519590455703D+0
3952 0 : B=0.2428073457846535D+0
3953 0 : V=0.3894034450156905D-3
3954 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3955 0 : A=0.4820503960077787D+0
3956 0 : B=0.2852575132906155D+0
3957 0 : V=0.3968600245508371D-3
3958 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3959 0 : A=0.5234573778475101D+0
3960 0 : B=0.3268884208674639D+0
3961 0 : V=0.4019931351420050D-3
3962 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3963 0 : A=0.5627318647235282D+0
3964 0 : B=0.3673033321675939D+0
3965 0 : V=0.4052108801278599D-3
3966 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3967 0 : A=0.5996390607156954D+0
3968 0 : B=0.4061211551830290D+0
3969 0 : V=0.4068978613940934D-3
3970 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3971 0 : A=0.3084780753791947D+0
3972 0 : B=0.3860125523100059D-1
3973 0 : V=0.3454275351319704D-3
3974 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3975 0 : A=0.3589988275920223D+0
3976 0 : B=0.7928938987104867D-1
3977 0 : V=0.3629963537007920D-3
3978 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3979 0 : A=0.4078628415881973D+0
3980 0 : B=0.1212614643030087D+0
3981 0 : V=0.3770187233889873D-3
3982 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3983 0 : A=0.4549287258889735D+0
3984 0 : B=0.1638770827382693D+0
3985 0 : V=0.3878608613694378D-3
3986 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3987 0 : A=0.5000278512957279D+0
3988 0 : B=0.2065965798260176D+0
3989 0 : V=0.3959065270221274D-3
3990 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3991 0 : A=0.5429785044928199D+0
3992 0 : B=0.2489436378852235D+0
3993 0 : V=0.4015286975463570D-3
3994 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3995 0 : A=0.5835939850491711D+0
3996 0 : B=0.2904811368946891D+0
3997 0 : V=0.4050866785614717D-3
3998 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
3999 0 : A=0.6216870353444856D+0
4000 0 : B=0.3307941957666609D+0
4001 0 : V=0.4069320185051913D-3
4002 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4003 0 : A=0.4151104662709091D+0
4004 0 : B=0.4064829146052554D-1
4005 0 : V=0.3760120964062763D-3
4006 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4007 0 : A=0.4649804275009218D+0
4008 0 : B=0.8258424547294755D-1
4009 0 : V=0.3870969564418064D-3
4010 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4011 0 : A=0.5124695757009662D+0
4012 0 : B=0.1251841962027289D+0
4013 0 : V=0.3955287790534055D-3
4014 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4015 0 : A=0.5574711100606224D+0
4016 0 : B=0.1679107505976331D+0
4017 0 : V=0.4015361911302668D-3
4018 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4019 0 : A=0.5998597333287227D+0
4020 0 : B=0.2102805057358715D+0
4021 0 : V=0.4053836986719548D-3
4022 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4023 0 : A=0.6395007148516600D+0
4024 0 : B=0.2518418087774107D+0
4025 0 : V=0.4073578673299117D-3
4026 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4027 0 : A=0.5188456224746252D+0
4028 0 : B=0.4194321676077518D-1
4029 0 : V=0.3954628379231406D-3
4030 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4031 0 : A=0.5664190707942778D+0
4032 0 : B=0.8457661551921499D-1
4033 0 : V=0.4017645508847530D-3
4034 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4035 0 : A=0.6110464353283153D+0
4036 0 : B=0.1273652932519396D+0
4037 0 : V=0.4059030348651293D-3
4038 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4039 0 : A=0.6526430302051563D+0
4040 0 : B=0.1698173239076354D+0
4041 0 : V=0.4080565809484880D-3
4042 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4043 0 : A=0.6167551880377548D+0
4044 0 : B=0.4266398851548864D-1
4045 0 : V=0.4063018753664651D-3
4046 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4047 0 : A=0.6607195418355383D+0
4048 0 : B=0.8551925814238349D-1
4049 0 : V=0.4087191292799671D-3
4050 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4051 0 : N=N-1
4052 0 : end subroutine LD2702
4053 : !!***
4054 :
4055 0 : SUBROUTINE LD3074(X,Y,Z,W,N)
4056 :
4057 : DOUBLE PRECISION X(3074)
4058 : DOUBLE PRECISION Y(3074)
4059 : DOUBLE PRECISION Z(3074)
4060 : DOUBLE PRECISION W(3074)
4061 : INTEGER N
4062 : DOUBLE PRECISION A,B,V
4063 : !CVW
4064 : !CVW LEBEDEV 3074-POINT ANGULAR GRID
4065 : !CVW
4066 : !chvd
4067 : !chvd This subroutine is part of a set of subroutines that generate
4068 : !chvd Lebedev grids [1-6] for integration on a sphere. The original
4069 : !chvd C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
4070 : !chvd translated into fortran by Dr. Christoph van Wuellen.
4071 : !chvd This subroutine was translated using a C to fortran77 conversion
4072 : !chvd tool written by Dr. Christoph van Wuellen.
4073 : !chvd
4074 : !chvd Users of this code are asked to include reference [1] in their
4075 : !chvd publications, and in the user- and programmers-manuals
4076 : !chvd describing their codes.
4077 : !chvd
4078 : !chvd This code was distributed through CCL (http://www.ccl.net/).
4079 : !chvd
4080 : !chvd [1] V.I. Lebedev, and D.N. Laikov
4081 : !chvd "A quadrature formula for the sphere of the 131st
4082 : !chvd algebraic order of accuracy"
4083 : !chvd Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481. [[cite:Lebedev1999]]
4084 : !chvd
4085 : !chvd [2] V.I. Lebedev
4086 : !chvd "A quadrature formula for the sphere of 59th algebraic
4087 : !chvd order of accuracy"
4088 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286. [[cite:Lebedev1995]]
4089 : !chvd
4090 : !chvd [3] V.I. Lebedev, and A.L. Skorokhodov
4091 : !chvd "Quadrature formulas of orders 41, 47, and 53 for the sphere"
4092 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592. [[cite:Lebedev1992]]
4093 : !chvd
4094 : !chvd [4] V.I. Lebedev
4095 : !chvd "Spherical quadrature formulas exact to orders 25-29"
4096 : !chvd Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107. [[cite:Lebedev1977]]
4097 : !chvd
4098 : !chvd [5] V.I. Lebedev
4099 : !chvd "Quadratures on a sphere"
4100 : !chvd Computational Mathematics and Mathematical Physics, Vol. 16, 1976, pp. 10-24. [[cite:Lebedev1976]]
4101 : !chvd
4102 : !chvd [6] V.I. Lebedev
4103 : !chvd "Values of the nodes and weights of ninth to seventeenth
4104 : !chvd order Gauss-Markov quadrature formulae invariant under the
4105 : !chvd octahedron group with inversion"
4106 : !chvd Computational Mathematics and Mathematical Physics, Vol. 15, 1975, pp. 44-51. [[cite:Lebedev1975]]
4107 : !chvd
4108 0 : N=1
4109 0 : V=0.2599095953754734D-4
4110 0 : Call GEN_OH( 1, N, X(N), Y(N), Z(N), W(N), A, B, V)
4111 0 : V=0.3603134089687541D-3
4112 0 : Call GEN_OH( 2, N, X(N), Y(N), Z(N), W(N), A, B, V)
4113 0 : V=0.3586067974412447D-3
4114 0 : Call GEN_OH( 3, N, X(N), Y(N), Z(N), W(N), A, B, V)
4115 0 : A=0.1886108518723392D-1
4116 0 : V=0.9831528474385880D-4
4117 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4118 0 : A=0.4800217244625303D-1
4119 0 : V=0.1605023107954450D-3
4120 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4121 0 : A=0.8244922058397242D-1
4122 0 : V=0.2072200131464099D-3
4123 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4124 0 : A=0.1200408362484023D+0
4125 0 : V=0.2431297618814187D-3
4126 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4127 0 : A=0.1595773530809965D+0
4128 0 : V=0.2711819064496707D-3
4129 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4130 0 : A=0.2002635973434064D+0
4131 0 : V=0.2932762038321116D-3
4132 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4133 0 : A=0.2415127590139982D+0
4134 0 : V=0.3107032514197368D-3
4135 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4136 0 : A=0.2828584158458477D+0
4137 0 : V=0.3243808058921213D-3
4138 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4139 0 : A=0.3239091015338138D+0
4140 0 : V=0.3349899091374030D-3
4141 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4142 0 : A=0.3643225097962194D+0
4143 0 : V=0.3430580688505218D-3
4144 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4145 0 : A=0.4037897083691802D+0
4146 0 : V=0.3490124109290343D-3
4147 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4148 0 : A=0.4420247515194127D+0
4149 0 : V=0.3532148948561955D-3
4150 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4151 0 : A=0.4787572538464938D+0
4152 0 : V=0.3559862669062833D-3
4153 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4154 0 : A=0.5137265251275234D+0
4155 0 : V=0.3576224317551411D-3
4156 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4157 0 : A=0.5466764056654611D+0
4158 0 : V=0.3584050533086076D-3
4159 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4160 0 : A=0.6054859420813535D+0
4161 0 : V=0.3584903581373224D-3
4162 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4163 0 : A=0.6308106701764562D+0
4164 0 : V=0.3582991879040586D-3
4165 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4166 0 : A=0.6530369230179584D+0
4167 0 : V=0.3582371187963125D-3
4168 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4169 0 : A=0.6718609524611158D+0
4170 0 : V=0.3584353631122350D-3
4171 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4172 0 : A=0.6869676499894013D+0
4173 0 : V=0.3589120166517785D-3
4174 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4175 0 : A=0.6980467077240748D+0
4176 0 : V=0.3595445704531601D-3
4177 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4178 0 : A=0.7048241721250522D+0
4179 0 : V=0.3600943557111074D-3
4180 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4181 0 : A=0.5591105222058232D-1
4182 0 : V=0.1456447096742039D-3
4183 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
4184 0 : A=0.1407384078513916D+0
4185 0 : V=0.2252370188283782D-3
4186 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
4187 0 : A=0.2364035438976309D+0
4188 0 : V=0.2766135443474897D-3
4189 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
4190 0 : A=0.3360602737818170D+0
4191 0 : V=0.3110729491500851D-3
4192 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
4193 0 : A=0.4356292630054665D+0
4194 0 : V=0.3342506712303391D-3
4195 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
4196 0 : A=0.5321569415256174D+0
4197 0 : V=0.3491981834026860D-3
4198 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
4199 0 : A=0.6232956305040554D+0
4200 0 : V=0.3576003604348932D-3
4201 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
4202 0 : A=0.9469870086838469D-1
4203 0 : B=0.2778748387309470D-1
4204 0 : V=0.1921921305788564D-3
4205 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4206 0 : A=0.1353170300568141D+0
4207 0 : B=0.6076569878628364D-1
4208 0 : V=0.2301458216495632D-3
4209 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4210 0 : A=0.1771679481726077D+0
4211 0 : B=0.9703072762711040D-1
4212 0 : V=0.2604248549522893D-3
4213 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4214 0 : A=0.2197066664231751D+0
4215 0 : B=0.1354112458524762D+0
4216 0 : V=0.2845275425870697D-3
4217 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4218 0 : A=0.2624783557374927D+0
4219 0 : B=0.1750996479744100D+0
4220 0 : V=0.3036870897974840D-3
4221 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4222 0 : A=0.3050969521214442D+0
4223 0 : B=0.2154896907449802D+0
4224 0 : V=0.3188414832298066D-3
4225 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4226 0 : A=0.3472252637196021D+0
4227 0 : B=0.2560954625740152D+0
4228 0 : V=0.3307046414722089D-3
4229 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4230 0 : A=0.3885610219026360D+0
4231 0 : B=0.2965070050624096D+0
4232 0 : V=0.3398330969031360D-3
4233 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4234 0 : A=0.4288273776062765D+0
4235 0 : B=0.3363641488734497D+0
4236 0 : V=0.3466757899705373D-3
4237 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4238 0 : A=0.4677662471302948D+0
4239 0 : B=0.3753400029836788D+0
4240 0 : V=0.3516095923230054D-3
4241 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4242 0 : A=0.5051333589553359D+0
4243 0 : B=0.4131297522144286D+0
4244 0 : V=0.3549645184048486D-3
4245 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4246 0 : A=0.5406942145810492D+0
4247 0 : B=0.4494423776081795D+0
4248 0 : V=0.3570415969441392D-3
4249 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4250 0 : A=0.5742204122576457D+0
4251 0 : B=0.4839938958841502D+0
4252 0 : V=0.3581251798496118D-3
4253 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4254 0 : A=0.1865407027225188D+0
4255 0 : B=0.3259144851070796D-1
4256 0 : V=0.2543491329913348D-3
4257 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4258 0 : A=0.2321186453689432D+0
4259 0 : B=0.6835679505297343D-1
4260 0 : V=0.2786711051330776D-3
4261 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4262 0 : A=0.2773159142523882D+0
4263 0 : B=0.1062284864451989D+0
4264 0 : V=0.2985552361083679D-3
4265 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4266 0 : A=0.3219200192237254D+0
4267 0 : B=0.1454404409323047D+0
4268 0 : V=0.3145867929154039D-3
4269 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4270 0 : A=0.3657032593944029D+0
4271 0 : B=0.1854018282582510D+0
4272 0 : V=0.3273290662067609D-3
4273 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4274 0 : A=0.4084376778363622D+0
4275 0 : B=0.2256297412014750D+0
4276 0 : V=0.3372705511943501D-3
4277 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4278 0 : A=0.4499004945751427D+0
4279 0 : B=0.2657104425000896D+0
4280 0 : V=0.3448274437851510D-3
4281 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4282 0 : A=0.4898758141326335D+0
4283 0 : B=0.3052755487631557D+0
4284 0 : V=0.3503592783048583D-3
4285 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4286 0 : A=0.5281547442266309D+0
4287 0 : B=0.3439863920645423D+0
4288 0 : V=0.3541854792663162D-3
4289 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4290 0 : A=0.5645346989813992D+0
4291 0 : B=0.3815229456121914D+0
4292 0 : V=0.3565995517909428D-3
4293 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4294 0 : A=0.5988181252159848D+0
4295 0 : B=0.4175752420966734D+0
4296 0 : V=0.3578802078302898D-3
4297 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4298 0 : A=0.2850425424471603D+0
4299 0 : B=0.3562149509862536D-1
4300 0 : V=0.2958644592860982D-3
4301 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4302 0 : A=0.3324619433027876D+0
4303 0 : B=0.7330318886871096D-1
4304 0 : V=0.3119548129116835D-3
4305 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4306 0 : A=0.3785848333076282D+0
4307 0 : B=0.1123226296008472D+0
4308 0 : V=0.3250745225005984D-3
4309 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4310 0 : A=0.4232891028562115D+0
4311 0 : B=0.1521084193337708D+0
4312 0 : V=0.3355153415935208D-3
4313 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4314 0 : A=0.4664287050829722D+0
4315 0 : B=0.1921844459223610D+0
4316 0 : V=0.3435847568549328D-3
4317 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4318 0 : A=0.5078458493735726D+0
4319 0 : B=0.2321360989678303D+0
4320 0 : V=0.3495786831622488D-3
4321 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4322 0 : A=0.5473779816204180D+0
4323 0 : B=0.2715886486360520D+0
4324 0 : V=0.3537767805534621D-3
4325 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4326 0 : A=0.5848617133811376D+0
4327 0 : B=0.3101924707571355D+0
4328 0 : V=0.3564459815421428D-3
4329 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4330 0 : A=0.6201348281584888D+0
4331 0 : B=0.3476121052890973D+0
4332 0 : V=0.3578464061225468D-3
4333 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4334 0 : A=0.3852191185387871D+0
4335 0 : B=0.3763224880035108D-1
4336 0 : V=0.3239748762836212D-3
4337 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4338 0 : A=0.4325025061073423D+0
4339 0 : B=0.7659581935637135D-1
4340 0 : V=0.3345491784174287D-3
4341 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4342 0 : A=0.4778486229734490D+0
4343 0 : B=0.1163381306083900D+0
4344 0 : V=0.3429126177301782D-3
4345 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4346 0 : A=0.5211663693009000D+0
4347 0 : B=0.1563890598752899D+0
4348 0 : V=0.3492420343097421D-3
4349 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4350 0 : A=0.5623469504853703D+0
4351 0 : B=0.1963320810149200D+0
4352 0 : V=0.3537399050235257D-3
4353 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4354 0 : A=0.6012718188659246D+0
4355 0 : B=0.2357847407258738D+0
4356 0 : V=0.3566209152659172D-3
4357 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4358 0 : A=0.6378179206390117D+0
4359 0 : B=0.2743846121244060D+0
4360 0 : V=0.3581084321919782D-3
4361 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4362 0 : A=0.4836936460214534D+0
4363 0 : B=0.3895902610739024D-1
4364 0 : V=0.3426522117591512D-3
4365 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4366 0 : A=0.5293792562683797D+0
4367 0 : B=0.7871246819312640D-1
4368 0 : V=0.3491848770121379D-3
4369 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4370 0 : A=0.5726281253100033D+0
4371 0 : B=0.1187963808202981D+0
4372 0 : V=0.3539318235231476D-3
4373 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4374 0 : A=0.6133658776169068D+0
4375 0 : B=0.1587914708061787D+0
4376 0 : V=0.3570231438458694D-3
4377 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4378 0 : A=0.6515085491865307D+0
4379 0 : B=0.1983058575227646D+0
4380 0 : V=0.3586207335051714D-3
4381 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4382 0 : A=0.5778692716064976D+0
4383 0 : B=0.3977209689791542D-1
4384 0 : V=0.3541196205164025D-3
4385 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4386 0 : A=0.6207904288086192D+0
4387 0 : B=0.7990157592981152D-1
4388 0 : V=0.3574296911573953D-3
4389 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4390 0 : A=0.6608688171046802D+0
4391 0 : B=0.1199671308754309D+0
4392 0 : V=0.3591993279818963D-3
4393 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4394 0 : A=0.6656263089489130D+0
4395 0 : B=0.4015955957805969D-1
4396 0 : V=0.3595855034661997D-3
4397 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4398 0 : N=N-1
4399 0 : end subroutine LD3074
4400 : !!***
4401 :
4402 0 : SUBROUTINE LD3470(X,Y,Z,W,N)
4403 :
4404 : DOUBLE PRECISION X(3470)
4405 : DOUBLE PRECISION Y(3470)
4406 : DOUBLE PRECISION Z(3470)
4407 : DOUBLE PRECISION W(3470)
4408 : INTEGER N
4409 : DOUBLE PRECISION A,B,V
4410 : !CVW
4411 : !CVW LEBEDEV 3470-POINT ANGULAR GRID
4412 : !CVW
4413 : !chvd
4414 : !chvd This subroutine is part of a set of subroutines that generate
4415 : !chvd Lebedev grids [1-6] for integration on a sphere. The original
4416 : !chvd C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
4417 : !chvd translated into fortran by Dr. Christoph van Wuellen.
4418 : !chvd This subroutine was translated using a C to fortran77 conversion
4419 : !chvd tool written by Dr. Christoph van Wuellen.
4420 : !chvd
4421 : !chvd Users of this code are asked to include reference [1] in their
4422 : !chvd publications, and in the user- and programmers-manuals
4423 : !chvd describing their codes.
4424 : !chvd
4425 : !chvd This code was distributed through CCL (http://www.ccl.net/).
4426 : !chvd
4427 : !chvd [1] V.I. Lebedev, and D.N. Laikov
4428 : !chvd "A quadrature formula for the sphere of the 131st
4429 : !chvd algebraic order of accuracy"
4430 : !chvd Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481. [[cite:Lebedev1999]]
4431 : !chvd
4432 : !chvd [2] V.I. Lebedev
4433 : !chvd "A quadrature formula for the sphere of 59th algebraic
4434 : !chvd order of accuracy"
4435 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286. [[cite:Lebedev1995]]
4436 : !chvd
4437 : !chvd [3] V.I. Lebedev, and A.L. Skorokhodov
4438 : !chvd "Quadrature formulas of orders 41, 47, and 53 for the sphere"
4439 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592. [[cite:Lebedev1992]]
4440 : !chvd
4441 : !chvd [4] V.I. Lebedev
4442 : !chvd "Spherical quadrature formulas exact to orders 25-29"
4443 : !chvd Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107. [[cite:Lebedev1977]]
4444 : !chvd
4445 : !chvd [5] V.I. Lebedev
4446 : !chvd "Quadratures on a sphere"
4447 : !chvd Computational Mathematics and Mathematical Physics, Vol. 16, 1976, pp. 10-24. [[cite:Lebedev1976]]
4448 : !chvd
4449 : !chvd [6] V.I. Lebedev
4450 : !chvd "Values of the nodes and weights of ninth to seventeenth
4451 : !chvd order Gauss-Markov quadrature formulae invariant under the
4452 : !chvd octahedron group with inversion"
4453 : !chvd Computational Mathematics and Mathematical Physics, Vol. 15, 1975, pp. 44-51. [[cite:Lebedev1975]]
4454 : !chvd
4455 0 : N=1
4456 0 : V=0.2040382730826330D-4
4457 0 : Call GEN_OH( 1, N, X(N), Y(N), Z(N), W(N), A, B, V)
4458 0 : V=0.3178149703889544D-3
4459 0 : Call GEN_OH( 3, N, X(N), Y(N), Z(N), W(N), A, B, V)
4460 0 : A=0.1721420832906233D-1
4461 0 : V=0.8288115128076110D-4
4462 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4463 0 : A=0.4408875374981770D-1
4464 0 : V=0.1360883192522954D-3
4465 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4466 0 : A=0.7594680813878681D-1
4467 0 : V=0.1766854454542662D-3
4468 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4469 0 : A=0.1108335359204799D+0
4470 0 : V=0.2083153161230153D-3
4471 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4472 0 : A=0.1476517054388567D+0
4473 0 : V=0.2333279544657158D-3
4474 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4475 0 : A=0.1856731870860615D+0
4476 0 : V=0.2532809539930247D-3
4477 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4478 0 : A=0.2243634099428821D+0
4479 0 : V=0.2692472184211158D-3
4480 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4481 0 : A=0.2633006881662727D+0
4482 0 : V=0.2819949946811885D-3
4483 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4484 0 : A=0.3021340904916283D+0
4485 0 : V=0.2920953593973030D-3
4486 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4487 0 : A=0.3405594048030089D+0
4488 0 : V=0.2999889782948352D-3
4489 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4490 0 : A=0.3783044434007372D+0
4491 0 : V=0.3060292120496902D-3
4492 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4493 0 : A=0.4151194767407910D+0
4494 0 : V=0.3105109167522192D-3
4495 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4496 0 : A=0.4507705766443257D+0
4497 0 : V=0.3136902387550312D-3
4498 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4499 0 : A=0.4850346056573187D+0
4500 0 : V=0.3157984652454632D-3
4501 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4502 0 : A=0.5176950817792470D+0
4503 0 : V=0.3170516518425422D-3
4504 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4505 0 : A=0.5485384240820989D+0
4506 0 : V=0.3176568425633755D-3
4507 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4508 0 : A=0.6039117238943308D+0
4509 0 : V=0.3177198411207062D-3
4510 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4511 0 : A=0.6279956655573113D+0
4512 0 : V=0.3175519492394733D-3
4513 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4514 0 : A=0.6493636169568952D+0
4515 0 : V=0.3174654952634756D-3
4516 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4517 0 : A=0.6677644117704504D+0
4518 0 : V=0.3175676415467654D-3
4519 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4520 0 : A=0.6829368572115624D+0
4521 0 : V=0.3178923417835410D-3
4522 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4523 0 : A=0.6946195818184121D+0
4524 0 : V=0.3183788287531909D-3
4525 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4526 0 : A=0.7025711542057026D+0
4527 0 : V=0.3188755151918807D-3
4528 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4529 0 : A=0.7066004767140119D+0
4530 0 : V=0.3191916889313849D-3
4531 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4532 0 : A=0.5132537689946062D-1
4533 0 : V=0.1231779611744508D-3
4534 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
4535 0 : A=0.1297994661331225D+0
4536 0 : V=0.1924661373839880D-3
4537 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
4538 0 : A=0.2188852049401307D+0
4539 0 : V=0.2380881867403424D-3
4540 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
4541 0 : A=0.3123174824903457D+0
4542 0 : V=0.2693100663037885D-3
4543 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
4544 0 : A=0.4064037620738195D+0
4545 0 : V=0.2908673382834366D-3
4546 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
4547 0 : A=0.4984958396944782D+0
4548 0 : V=0.3053914619381535D-3
4549 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
4550 0 : A=0.5864975046021365D+0
4551 0 : V=0.3143916684147777D-3
4552 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
4553 0 : A=0.6686711634580175D+0
4554 0 : V=0.3187042244055363D-3
4555 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
4556 0 : A=0.8715738780835950D-1
4557 0 : B=0.2557175233367578D-1
4558 0 : V=0.1635219535869790D-3
4559 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4560 0 : A=0.1248383123134007D+0
4561 0 : B=0.5604823383376681D-1
4562 0 : V=0.1968109917696070D-3
4563 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4564 0 : A=0.1638062693383378D+0
4565 0 : B=0.8968568601900765D-1
4566 0 : V=0.2236754342249974D-3
4567 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4568 0 : A=0.2035586203373176D+0
4569 0 : B=0.1254086651976279D+0
4570 0 : V=0.2453186687017181D-3
4571 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4572 0 : A=0.2436798975293774D+0
4573 0 : B=0.1624780150162012D+0
4574 0 : V=0.2627551791580541D-3
4575 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4576 0 : A=0.2838207507773806D+0
4577 0 : B=0.2003422342683208D+0
4578 0 : V=0.2767654860152220D-3
4579 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4580 0 : A=0.3236787502217692D+0
4581 0 : B=0.2385628026255263D+0
4582 0 : V=0.2879467027765895D-3
4583 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4584 0 : A=0.3629849554840691D+0
4585 0 : B=0.2767731148783578D+0
4586 0 : V=0.2967639918918702D-3
4587 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4588 0 : A=0.4014948081992087D+0
4589 0 : B=0.3146542308245309D+0
4590 0 : V=0.3035900684660351D-3
4591 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4592 0 : A=0.4389818379260225D+0
4593 0 : B=0.3519196415895088D+0
4594 0 : V=0.3087338237298308D-3
4595 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4596 0 : A=0.4752331143674377D+0
4597 0 : B=0.3883050984023654D+0
4598 0 : V=0.3124608838860167D-3
4599 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4600 0 : A=0.5100457318374018D+0
4601 0 : B=0.4235613423908649D+0
4602 0 : V=0.3150084294226743D-3
4603 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4604 0 : A=0.5432238388954868D+0
4605 0 : B=0.4574484717196220D+0
4606 0 : V=0.3165958398598402D-3
4607 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4608 0 : A=0.5745758685072442D+0
4609 0 : B=0.4897311639255524D+0
4610 0 : V=0.3174320440957372D-3
4611 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4612 0 : A=0.1723981437592809D+0
4613 0 : B=0.3010630597881105D-1
4614 0 : V=0.2182188909812599D-3
4615 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4616 0 : A=0.2149553257844597D+0
4617 0 : B=0.6326031554204694D-1
4618 0 : V=0.2399727933921445D-3
4619 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4620 0 : A=0.2573256081247422D+0
4621 0 : B=0.9848566980258631D-1
4622 0 : V=0.2579796133514652D-3
4623 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4624 0 : A=0.2993163751238106D+0
4625 0 : B=0.1350835952384266D+0
4626 0 : V=0.2727114052623535D-3
4627 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4628 0 : A=0.3407238005148000D+0
4629 0 : B=0.1725184055442181D+0
4630 0 : V=0.2846327656281355D-3
4631 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4632 0 : A=0.3813454978483264D+0
4633 0 : B=0.2103559279730725D+0
4634 0 : V=0.2941491102051334D-3
4635 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4636 0 : A=0.4209848104423343D+0
4637 0 : B=0.2482278774554860D+0
4638 0 : V=0.3016049492136107D-3
4639 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4640 0 : A=0.4594519699996300D+0
4641 0 : B=0.2858099509982883D+0
4642 0 : V=0.3072949726175648D-3
4643 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4644 0 : A=0.4965640166185930D+0
4645 0 : B=0.3228075659915428D+0
4646 0 : V=0.3114768142886460D-3
4647 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4648 0 : A=0.5321441655571562D+0
4649 0 : B=0.3589459907204151D+0
4650 0 : V=0.3143823673666223D-3
4651 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4652 0 : A=0.5660208438582166D+0
4653 0 : B=0.3939630088864310D+0
4654 0 : V=0.3162269764661535D-3
4655 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4656 0 : A=0.5980264315964364D+0
4657 0 : B=0.4276029922949089D+0
4658 0 : V=0.3172164663759821D-3
4659 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4660 0 : A=0.2644215852350733D+0
4661 0 : B=0.3300939429072552D-1
4662 0 : V=0.2554575398967435D-3
4663 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4664 0 : A=0.3090113743443063D+0
4665 0 : B=0.6803887650078501D-1
4666 0 : V=0.2701704069135677D-3
4667 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4668 0 : A=0.3525871079197808D+0
4669 0 : B=0.1044326136206709D+0
4670 0 : V=0.2823693413468940D-3
4671 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4672 0 : A=0.3950418005354029D+0
4673 0 : B=0.1416751597517679D+0
4674 0 : V=0.2922898463214289D-3
4675 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4676 0 : A=0.4362475663430163D+0
4677 0 : B=0.1793408610504821D+0
4678 0 : V=0.3001829062162428D-3
4679 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4680 0 : A=0.4760661812145854D+0
4681 0 : B=0.2170630750175722D+0
4682 0 : V=0.3062890864542953D-3
4683 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4684 0 : A=0.5143551042512103D+0
4685 0 : B=0.2545145157815807D+0
4686 0 : V=0.3108328279264746D-3
4687 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4688 0 : A=0.5509709026935597D+0
4689 0 : B=0.2913940101706601D+0
4690 0 : V=0.3140243146201245D-3
4691 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4692 0 : A=0.5857711030329428D+0
4693 0 : B=0.3274169910910705D+0
4694 0 : V=0.3160638030977130D-3
4695 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4696 0 : A=0.6186149917404392D+0
4697 0 : B=0.3623081329317265D+0
4698 0 : V=0.3171462882206275D-3
4699 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4700 0 : A=0.3586894569557064D+0
4701 0 : B=0.3497354386450040D-1
4702 0 : V=0.2812388416031796D-3
4703 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4704 0 : A=0.4035266610019441D+0
4705 0 : B=0.7129736739757095D-1
4706 0 : V=0.2912137500288045D-3
4707 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4708 0 : A=0.4467775312332510D+0
4709 0 : B=0.1084758620193165D+0
4710 0 : V=0.2993241256502206D-3
4711 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4712 0 : A=0.4883638346608543D+0
4713 0 : B=0.1460915689241772D+0
4714 0 : V=0.3057101738983822D-3
4715 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4716 0 : A=0.5281908348434601D+0
4717 0 : B=0.1837790832369980D+0
4718 0 : V=0.3105319326251432D-3
4719 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4720 0 : A=0.5661542687149311D+0
4721 0 : B=0.2212075390874021D+0
4722 0 : V=0.3139565514428167D-3
4723 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4724 0 : A=0.6021450102031452D+0
4725 0 : B=0.2580682841160985D+0
4726 0 : V=0.3161543006806366D-3
4727 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4728 0 : A=0.6360520783610050D+0
4729 0 : B=0.2940656362094121D+0
4730 0 : V=0.3172985960613294D-3
4731 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4732 0 : A=0.4521611065087196D+0
4733 0 : B=0.3631055365867002D-1
4734 0 : V=0.2989400336901431D-3
4735 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4736 0 : A=0.4959365651560963D+0
4737 0 : B=0.7348318468484350D-1
4738 0 : V=0.3054555883947677D-3
4739 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4740 0 : A=0.5376815804038283D+0
4741 0 : B=0.1111087643812648D+0
4742 0 : V=0.3104764960807702D-3
4743 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4744 0 : A=0.5773314480243768D+0
4745 0 : B=0.1488226085145408D+0
4746 0 : V=0.3141015825977616D-3
4747 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4748 0 : A=0.6148113245575056D+0
4749 0 : B=0.1862892274135151D+0
4750 0 : V=0.3164520621159896D-3
4751 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4752 0 : A=0.6500407462842380D+0
4753 0 : B=0.2231909701714456D+0
4754 0 : V=0.3176652305912204D-3
4755 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4756 0 : A=0.5425151448707213D+0
4757 0 : B=0.3718201306118944D-1
4758 0 : V=0.3105097161023939D-3
4759 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4760 0 : A=0.5841860556907931D+0
4761 0 : B=0.7483616335067346D-1
4762 0 : V=0.3143014117890550D-3
4763 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4764 0 : A=0.6234632186851500D+0
4765 0 : B=0.1125990834266120D+0
4766 0 : V=0.3168172866287200D-3
4767 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4768 0 : A=0.6602934551848843D+0
4769 0 : B=0.1501303813157619D+0
4770 0 : V=0.3181401865570968D-3
4771 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4772 0 : A=0.6278573968375105D+0
4773 0 : B=0.3767559930245720D-1
4774 0 : V=0.3170663659156037D-3
4775 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4776 0 : A=0.6665611711264577D+0
4777 0 : B=0.7548443301360158D-1
4778 0 : V=0.3185447944625510D-3
4779 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4780 0 : N=N-1
4781 0 : end subroutine LD3470
4782 : !!***
4783 :
4784 0 : SUBROUTINE LD3890(X,Y,Z,W,N)
4785 :
4786 : DOUBLE PRECISION X(3890)
4787 : DOUBLE PRECISION Y(3890)
4788 : DOUBLE PRECISION Z(3890)
4789 : DOUBLE PRECISION W(3890)
4790 : INTEGER N
4791 : DOUBLE PRECISION A,B,V
4792 : !CVW
4793 : !CVW LEBEDEV 3890-POINT ANGULAR GRID
4794 : !CVW
4795 : !chvd
4796 : !chvd This subroutine is part of a set of subroutines that generate
4797 : !chvd Lebedev grids [1-6] for integration on a sphere. The original
4798 : !chvd C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
4799 : !chvd translated into fortran by Dr. Christoph van Wuellen.
4800 : !chvd This subroutine was translated using a C to fortran77 conversion
4801 : !chvd tool written by Dr. Christoph van Wuellen.
4802 : !chvd
4803 : !chvd Users of this code are asked to include reference [1] in their
4804 : !chvd publications, and in the user- and programmers-manuals
4805 : !chvd describing their codes.
4806 : !chvd
4807 : !chvd This code was distributed through CCL (http://www.ccl.net/).
4808 : !chvd
4809 : !chvd [1] V.I. Lebedev, and D.N. Laikov
4810 : !chvd "A quadrature formula for the sphere of the 131st
4811 : !chvd algebraic order of accuracy"
4812 : !chvd Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481. [[cite:Lebedev1999]]
4813 : !chvd
4814 : !chvd [2] V.I. Lebedev
4815 : !chvd "A quadrature formula for the sphere of 59th algebraic
4816 : !chvd order of accuracy"
4817 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286. [[cite:Lebedev1995]]
4818 : !chvd
4819 : !chvd [3] V.I. Lebedev, and A.L. Skorokhodov
4820 : !chvd "Quadrature formulas of orders 41, 47, and 53 for the sphere"
4821 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592. [[cite:Lebedev1992]]
4822 : !chvd
4823 : !chvd [4] V.I. Lebedev
4824 : !chvd "Spherical quadrature formulas exact to orders 25-29"
4825 : !chvd Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107. [[cite:Lebedev1977]]
4826 : !chvd
4827 : !chvd [5] V.I. Lebedev
4828 : !chvd "Quadratures on a sphere"
4829 : !chvd Computational Mathematics and Mathematical Physics, Vol. 16, 1976, pp. 10-24. [[cite:Lebedev1976]]
4830 : !chvd
4831 : !chvd [6] V.I. Lebedev
4832 : !chvd "Values of the nodes and weights of ninth to seventeenth
4833 : !chvd order Gauss-Markov quadrature formulae invariant under the
4834 : !chvd octahedron group with inversion"
4835 : !chvd Computational Mathematics and Mathematical Physics, Vol. 15, 1975, pp. 44-51. [[cite:Lebedev1975]]
4836 : !chvd
4837 0 : N=1
4838 0 : V=0.1807395252196920D-4
4839 0 : Call GEN_OH( 1, N, X(N), Y(N), Z(N), W(N), A, B, V)
4840 0 : V=0.2848008782238827D-3
4841 0 : Call GEN_OH( 2, N, X(N), Y(N), Z(N), W(N), A, B, V)
4842 0 : V=0.2836065837530581D-3
4843 0 : Call GEN_OH( 3, N, X(N), Y(N), Z(N), W(N), A, B, V)
4844 0 : A=0.1587876419858352D-1
4845 0 : V=0.7013149266673816D-4
4846 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4847 0 : A=0.4069193593751206D-1
4848 0 : V=0.1162798021956766D-3
4849 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4850 0 : A=0.7025888115257997D-1
4851 0 : V=0.1518728583972105D-3
4852 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4853 0 : A=0.1027495450028704D+0
4854 0 : V=0.1798796108216934D-3
4855 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4856 0 : A=0.1371457730893426D+0
4857 0 : V=0.2022593385972785D-3
4858 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4859 0 : A=0.1727758532671953D+0
4860 0 : V=0.2203093105575464D-3
4861 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4862 0 : A=0.2091492038929037D+0
4863 0 : V=0.2349294234299855D-3
4864 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4865 0 : A=0.2458813281751915D+0
4866 0 : V=0.2467682058747003D-3
4867 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4868 0 : A=0.2826545859450066D+0
4869 0 : V=0.2563092683572224D-3
4870 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4871 0 : A=0.3191957291799622D+0
4872 0 : V=0.2639253896763318D-3
4873 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4874 0 : A=0.3552621469299578D+0
4875 0 : V=0.2699137479265108D-3
4876 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4877 0 : A=0.3906329503406230D+0
4878 0 : V=0.2745196420166739D-3
4879 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4880 0 : A=0.4251028614093031D+0
4881 0 : V=0.2779529197397593D-3
4882 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4883 0 : A=0.4584777520111870D+0
4884 0 : V=0.2803996086684265D-3
4885 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4886 0 : A=0.4905711358710193D+0
4887 0 : V=0.2820302356715842D-3
4888 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4889 0 : A=0.5212011669847385D+0
4890 0 : V=0.2830056747491068D-3
4891 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4892 0 : A=0.5501878488737995D+0
4893 0 : V=0.2834808950776839D-3
4894 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4895 0 : A=0.6025037877479342D+0
4896 0 : V=0.2835282339078929D-3
4897 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4898 0 : A=0.6254572689549016D+0
4899 0 : V=0.2833819267065800D-3
4900 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4901 0 : A=0.6460107179528248D+0
4902 0 : V=0.2832858336906784D-3
4903 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4904 0 : A=0.6639541138154251D+0
4905 0 : V=0.2833268235451244D-3
4906 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4907 0 : A=0.6790688515667495D+0
4908 0 : V=0.2835432677029253D-3
4909 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4910 0 : A=0.6911338580371512D+0
4911 0 : V=0.2839091722743049D-3
4912 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4913 0 : A=0.6999385956126490D+0
4914 0 : V=0.2843308178875841D-3
4915 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4916 0 : A=0.7053037748656896D+0
4917 0 : V=0.2846703550533846D-3
4918 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
4919 0 : A=0.4732224387180115D-1
4920 0 : V=0.1051193406971900D-3
4921 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
4922 0 : A=0.1202100529326803D+0
4923 0 : V=0.1657871838796974D-3
4924 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
4925 0 : A=0.2034304820664855D+0
4926 0 : V=0.2064648113714232D-3
4927 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
4928 0 : A=0.2912285643573002D+0
4929 0 : V=0.2347942745819741D-3
4930 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
4931 0 : A=0.3802361792726768D+0
4932 0 : V=0.2547775326597726D-3
4933 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
4934 0 : A=0.4680598511056146D+0
4935 0 : V=0.2686876684847025D-3
4936 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
4937 0 : A=0.5528151052155599D+0
4938 0 : V=0.2778665755515867D-3
4939 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
4940 0 : A=0.6329386307803041D+0
4941 0 : V=0.2830996616782929D-3
4942 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
4943 0 : A=0.8056516651369069D-1
4944 0 : B=0.2363454684003124D-1
4945 0 : V=0.1403063340168372D-3
4946 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4947 0 : A=0.1156476077139389D+0
4948 0 : B=0.5191291632545936D-1
4949 0 : V=0.1696504125939477D-3
4950 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4951 0 : A=0.1520473382760421D+0
4952 0 : B=0.8322715736994519D-1
4953 0 : V=0.1935787242745390D-3
4954 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4955 0 : A=0.1892986699745931D+0
4956 0 : B=0.1165855667993712D+0
4957 0 : V=0.2130614510521968D-3
4958 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4959 0 : A=0.2270194446777792D+0
4960 0 : B=0.1513077167409504D+0
4961 0 : V=0.2289381265931048D-3
4962 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4963 0 : A=0.2648908185093273D+0
4964 0 : B=0.1868882025807859D+0
4965 0 : V=0.2418630292816186D-3
4966 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4967 0 : A=0.3026389259574136D+0
4968 0 : B=0.2229277629776224D+0
4969 0 : V=0.2523400495631193D-3
4970 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4971 0 : A=0.3400220296151384D+0
4972 0 : B=0.2590951840746235D+0
4973 0 : V=0.2607623973449605D-3
4974 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4975 0 : A=0.3768217953335510D+0
4976 0 : B=0.2951047291750847D+0
4977 0 : V=0.2674441032689209D-3
4978 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4979 0 : A=0.4128372900921884D+0
4980 0 : B=0.3307019714169930D+0
4981 0 : V=0.2726432360343356D-3
4982 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4983 0 : A=0.4478807131815630D+0
4984 0 : B=0.3656544101087634D+0
4985 0 : V=0.2765787685924545D-3
4986 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4987 0 : A=0.4817742034089257D+0
4988 0 : B=0.3997448951939695D+0
4989 0 : V=0.2794428690642224D-3
4990 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4991 0 : A=0.5143472814653344D+0
4992 0 : B=0.4327667110812024D+0
4993 0 : V=0.2814099002062895D-3
4994 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4995 0 : A=0.5454346213905650D+0
4996 0 : B=0.4645196123532293D+0
4997 0 : V=0.2826429531578994D-3
4998 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
4999 0 : A=0.5748739313170252D+0
5000 0 : B=0.4948063555703345D+0
5001 0 : V=0.2832983542550884D-3
5002 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5003 0 : A=0.1599598738286342D+0
5004 0 : B=0.2792357590048985D-1
5005 0 : V=0.1886695565284976D-3
5006 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5007 0 : A=0.1998097412500951D+0
5008 0 : B=0.5877141038139065D-1
5009 0 : V=0.2081867882748234D-3
5010 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5011 0 : A=0.2396228952566202D+0
5012 0 : B=0.9164573914691377D-1
5013 0 : V=0.2245148680600796D-3
5014 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5015 0 : A=0.2792228341097746D+0
5016 0 : B=0.1259049641962687D+0
5017 0 : V=0.2380370491511872D-3
5018 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5019 0 : A=0.3184251107546741D+0
5020 0 : B=0.1610594823400863D+0
5021 0 : V=0.2491398041852455D-3
5022 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5023 0 : A=0.3570481164426244D+0
5024 0 : B=0.1967151653460898D+0
5025 0 : V=0.2581632405881230D-3
5026 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5027 0 : A=0.3949164710492144D+0
5028 0 : B=0.2325404606175168D+0
5029 0 : V=0.2653965506227417D-3
5030 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5031 0 : A=0.4318617293970503D+0
5032 0 : B=0.2682461141151439D+0
5033 0 : V=0.2710857216747087D-3
5034 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5035 0 : A=0.4677221009931678D+0
5036 0 : B=0.3035720116011973D+0
5037 0 : V=0.2754434093903659D-3
5038 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5039 0 : A=0.5023417939270955D+0
5040 0 : B=0.3382781859197439D+0
5041 0 : V=0.2786579932519380D-3
5042 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5043 0 : A=0.5355701836636128D+0
5044 0 : B=0.3721383065625942D+0
5045 0 : V=0.2809011080679474D-3
5046 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5047 0 : A=0.5672608451328771D+0
5048 0 : B=0.4049346360466055D+0
5049 0 : V=0.2823336184560987D-3
5050 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5051 0 : A=0.5972704202540162D+0
5052 0 : B=0.4364538098633802D+0
5053 0 : V=0.2831101175806309D-3
5054 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5055 0 : A=0.2461687022333596D+0
5056 0 : B=0.3070423166833368D-1
5057 0 : V=0.2221679970354546D-3
5058 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5059 0 : A=0.2881774566286831D+0
5060 0 : B=0.6338034669281885D-1
5061 0 : V=0.2356185734270703D-3
5062 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5063 0 : A=0.3293963604116978D+0
5064 0 : B=0.9742862487067941D-1
5065 0 : V=0.2469228344805590D-3
5066 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5067 0 : A=0.3697303822241377D+0
5068 0 : B=0.1323799532282290D+0
5069 0 : V=0.2562726348642046D-3
5070 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5071 0 : A=0.4090663023135127D+0
5072 0 : B=0.1678497018129336D+0
5073 0 : V=0.2638756726753028D-3
5074 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5075 0 : A=0.4472819355411712D+0
5076 0 : B=0.2035095105326114D+0
5077 0 : V=0.2699311157390862D-3
5078 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5079 0 : A=0.4842513377231437D+0
5080 0 : B=0.2390692566672091D+0
5081 0 : V=0.2746233268403837D-3
5082 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5083 0 : A=0.5198477629962928D+0
5084 0 : B=0.2742649818076149D+0
5085 0 : V=0.2781225674454771D-3
5086 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5087 0 : A=0.5539453011883145D+0
5088 0 : B=0.3088503806580094D+0
5089 0 : V=0.2805881254045684D-3
5090 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5091 0 : A=0.5864196762401251D+0
5092 0 : B=0.3425904245906614D+0
5093 0 : V=0.2821719877004913D-3
5094 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5095 0 : A=0.6171484466668390D+0
5096 0 : B=0.3752562294789468D+0
5097 0 : V=0.2830222502333124D-3
5098 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5099 0 : A=0.3350337830565727D+0
5100 0 : B=0.3261589934634747D-1
5101 0 : V=0.2457995956744870D-3
5102 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5103 0 : A=0.3775773224758284D+0
5104 0 : B=0.6658438928081572D-1
5105 0 : V=0.2551474407503706D-3
5106 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5107 0 : A=0.4188155229848973D+0
5108 0 : B=0.1014565797157954D+0
5109 0 : V=0.2629065335195311D-3
5110 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5111 0 : A=0.4586805892009344D+0
5112 0 : B=0.1368573320843822D+0
5113 0 : V=0.2691900449925075D-3
5114 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5115 0 : A=0.4970895714224235D+0
5116 0 : B=0.1724614851951608D+0
5117 0 : V=0.2741275485754276D-3
5118 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5119 0 : A=0.5339505133960747D+0
5120 0 : B=0.2079779381416412D+0
5121 0 : V=0.2778530970122595D-3
5122 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5123 0 : A=0.5691665792531440D+0
5124 0 : B=0.2431385788322288D+0
5125 0 : V=0.2805010567646741D-3
5126 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5127 0 : A=0.6026387682680377D+0
5128 0 : B=0.2776901883049853D+0
5129 0 : V=0.2822055834031040D-3
5130 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5131 0 : A=0.6342676150163307D+0
5132 0 : B=0.3113881356386632D+0
5133 0 : V=0.2831016901243473D-3
5134 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5135 0 : A=0.4237951119537067D+0
5136 0 : B=0.3394877848664351D-1
5137 0 : V=0.2624474901131803D-3
5138 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5139 0 : A=0.4656918683234929D+0
5140 0 : B=0.6880219556291447D-1
5141 0 : V=0.2688034163039377D-3
5142 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5143 0 : A=0.5058857069185980D+0
5144 0 : B=0.1041946859721635D+0
5145 0 : V=0.2738932751287636D-3
5146 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5147 0 : A=0.5443204666713996D+0
5148 0 : B=0.1398039738736393D+0
5149 0 : V=0.2777944791242523D-3
5150 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5151 0 : A=0.5809298813759742D+0
5152 0 : B=0.1753373381196155D+0
5153 0 : V=0.2806011661660987D-3
5154 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5155 0 : A=0.6156416039447128D+0
5156 0 : B=0.2105215793514010D+0
5157 0 : V=0.2824181456597460D-3
5158 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5159 0 : A=0.6483801351066604D+0
5160 0 : B=0.2450953312157051D+0
5161 0 : V=0.2833585216577828D-3
5162 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5163 0 : A=0.5103616577251688D+0
5164 0 : B=0.3485560643800719D-1
5165 0 : V=0.2738165236962878D-3
5166 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5167 0 : A=0.5506738792580681D+0
5168 0 : B=0.7026308631512033D-1
5169 0 : V=0.2778365208203180D-3
5170 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5171 0 : A=0.5889573040995292D+0
5172 0 : B=0.1059035061296403D+0
5173 0 : V=0.2807852940418966D-3
5174 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5175 0 : A=0.6251641589516930D+0
5176 0 : B=0.1414823925236026D+0
5177 0 : V=0.2827245949674705D-3
5178 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5179 0 : A=0.6592414921570178D+0
5180 0 : B=0.1767207908214530D+0
5181 0 : V=0.2837342344829828D-3
5182 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5183 0 : A=0.5930314017533384D+0
5184 0 : B=0.3542189339561672D-1
5185 0 : V=0.2809233907610981D-3
5186 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5187 0 : A=0.6309812253390175D+0
5188 0 : B=0.7109574040369549D-1
5189 0 : V=0.2829930809742694D-3
5190 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5191 0 : A=0.6666296011353230D+0
5192 0 : B=0.1067259792282730D+0
5193 0 : V=0.2841097874111479D-3
5194 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5195 0 : A=0.6703715271049922D+0
5196 0 : B=0.3569455268820809D-1
5197 0 : V=0.2843455206008783D-3
5198 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5199 0 : N=N-1
5200 0 : end subroutine LD3890
5201 : !!***
5202 :
5203 0 : SUBROUTINE LD4334(X,Y,Z,W,N)
5204 :
5205 : DOUBLE PRECISION X(4334)
5206 : DOUBLE PRECISION Y(4334)
5207 : DOUBLE PRECISION Z(4334)
5208 : DOUBLE PRECISION W(4334)
5209 : INTEGER N
5210 : DOUBLE PRECISION A,B,V
5211 : !CVW
5212 : !CVW LEBEDEV 4334-POINT ANGULAR GRID
5213 : !CVW
5214 : !chvd
5215 : !chvd This subroutine is part of a set of subroutines that generate
5216 : !chvd Lebedev grids [1-6] for integration on a sphere. The original
5217 : !chvd C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
5218 : !chvd translated into fortran by Dr. Christoph van Wuellen.
5219 : !chvd This subroutine was translated using a C to fortran77 conversion
5220 : !chvd tool written by Dr. Christoph van Wuellen.
5221 : !chvd
5222 : !chvd Users of this code are asked to include reference [1] in their
5223 : !chvd publications, and in the user- and programmers-manuals
5224 : !chvd describing their codes.
5225 : !chvd
5226 : !chvd This code was distributed through CCL (http://www.ccl.net/).
5227 : !chvd
5228 : !chvd [1] V.I. Lebedev, and D.N. Laikov
5229 : !chvd "A quadrature formula for the sphere of the 131st
5230 : !chvd algebraic order of accuracy"
5231 : !chvd Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481. [[cite:Lebedev1999]]
5232 : !chvd
5233 : !chvd [2] V.I. Lebedev
5234 : !chvd "A quadrature formula for the sphere of 59th algebraic
5235 : !chvd order of accuracy"
5236 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286. [[cite:Lebedev1995]]
5237 : !chvd
5238 : !chvd [3] V.I. Lebedev, and A.L. Skorokhodov
5239 : !chvd "Quadrature formulas of orders 41, 47, and 53 for the sphere"
5240 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592. [[cite:Lebedev1992]]
5241 : !chvd
5242 : !chvd [4] V.I. Lebedev
5243 : !chvd "Spherical quadrature formulas exact to orders 25-29"
5244 : !chvd Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107. [[cite:Lebedev1977]]
5245 : !chvd
5246 : !chvd [5] V.I. Lebedev
5247 : !chvd "Quadratures on a sphere"
5248 : !chvd Computational Mathematics and Mathematical Physics, Vol. 16, 1976, pp. 10-24. [[cite:Lebedev1976]]
5249 : !chvd
5250 : !chvd [6] V.I. Lebedev
5251 : !chvd "Values of the nodes and weights of ninth to seventeenth
5252 : !chvd order Gauss-Markov quadrature formulae invariant under the
5253 : !chvd octahedron group with inversion"
5254 : !chvd Computational Mathematics and Mathematical Physics, Vol. 15, 1975, pp. 44-51. [[cite:Lebedev1975]]
5255 : !chvd
5256 0 : N=1
5257 0 : V=0.1449063022537883D-4
5258 0 : Call GEN_OH( 1, N, X(N), Y(N), Z(N), W(N), A, B, V)
5259 0 : V=0.2546377329828424D-3
5260 0 : Call GEN_OH( 3, N, X(N), Y(N), Z(N), W(N), A, B, V)
5261 0 : A=0.1462896151831013D-1
5262 0 : V=0.6018432961087496D-4
5263 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
5264 0 : A=0.3769840812493139D-1
5265 0 : V=0.1002286583263673D-3
5266 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
5267 0 : A=0.6524701904096891D-1
5268 0 : V=0.1315222931028093D-3
5269 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
5270 0 : A=0.9560543416134648D-1
5271 0 : V=0.1564213746876724D-3
5272 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
5273 0 : A=0.1278335898929198D+0
5274 0 : V=0.1765118841507736D-3
5275 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
5276 0 : A=0.1613096104466031D+0
5277 0 : V=0.1928737099311080D-3
5278 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
5279 0 : A=0.1955806225745371D+0
5280 0 : V=0.2062658534263270D-3
5281 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
5282 0 : A=0.2302935218498028D+0
5283 0 : V=0.2172395445953787D-3
5284 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
5285 0 : A=0.2651584344113027D+0
5286 0 : V=0.2262076188876047D-3
5287 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
5288 0 : A=0.2999276825183209D+0
5289 0 : V=0.2334885699462397D-3
5290 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
5291 0 : A=0.3343828669718798D+0
5292 0 : V=0.2393355273179203D-3
5293 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
5294 0 : A=0.3683265013750518D+0
5295 0 : V=0.2439559200468863D-3
5296 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
5297 0 : A=0.4015763206518108D+0
5298 0 : V=0.2475251866060002D-3
5299 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
5300 0 : A=0.4339612026399770D+0
5301 0 : V=0.2501965558158773D-3
5302 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
5303 0 : A=0.4653180651114582D+0
5304 0 : V=0.2521081407925925D-3
5305 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
5306 0 : A=0.4954893331080803D+0
5307 0 : V=0.2533881002388081D-3
5308 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
5309 0 : A=0.5243207068924930D+0
5310 0 : V=0.2541582900848261D-3
5311 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
5312 0 : A=0.5516590479041704D+0
5313 0 : V=0.2545365737525860D-3
5314 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
5315 0 : A=0.6012371927804176D+0
5316 0 : V=0.2545726993066799D-3
5317 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
5318 0 : A=0.6231574466449819D+0
5319 0 : V=0.2544456197465555D-3
5320 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
5321 0 : A=0.6429416514181271D+0
5322 0 : V=0.2543481596881064D-3
5323 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
5324 0 : A=0.6604124272943595D+0
5325 0 : V=0.2543506451429194D-3
5326 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
5327 0 : A=0.6753851470408250D+0
5328 0 : V=0.2544905675493763D-3
5329 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
5330 0 : A=0.6876717970626160D+0
5331 0 : V=0.2547611407344429D-3
5332 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
5333 0 : A=0.6970895061319234D+0
5334 0 : V=0.2551060375448869D-3
5335 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
5336 0 : A=0.7034746912553310D+0
5337 0 : V=0.2554291933816039D-3
5338 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
5339 0 : A=0.7067017217542295D+0
5340 0 : V=0.2556255710686343D-3
5341 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
5342 0 : A=0.4382223501131123D-1
5343 0 : V=0.9041339695118195D-4
5344 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
5345 0 : A=0.1117474077400006D+0
5346 0 : V=0.1438426330079022D-3
5347 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
5348 0 : A=0.1897153252911440D+0
5349 0 : V=0.1802523089820518D-3
5350 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
5351 0 : A=0.2724023009910331D+0
5352 0 : V=0.2060052290565496D-3
5353 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
5354 0 : A=0.3567163308709902D+0
5355 0 : V=0.2245002248967466D-3
5356 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
5357 0 : A=0.4404784483028087D+0
5358 0 : V=0.2377059847731150D-3
5359 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
5360 0 : A=0.5219833154161411D+0
5361 0 : V=0.2468118955882525D-3
5362 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
5363 0 : A=0.5998179868977553D+0
5364 0 : V=0.2525410872966528D-3
5365 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
5366 0 : A=0.6727803154548222D+0
5367 0 : V=0.2553101409933397D-3
5368 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
5369 0 : A=0.7476563943166086D-1
5370 0 : B=0.2193168509461185D-1
5371 0 : V=0.1212879733668632D-3
5372 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5373 0 : A=0.1075341482001416D+0
5374 0 : B=0.4826419281533887D-1
5375 0 : V=0.1472872881270931D-3
5376 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5377 0 : A=0.1416344885203259D+0
5378 0 : B=0.7751191883575742D-1
5379 0 : V=0.1686846601010828D-3
5380 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5381 0 : A=0.1766325315388586D+0
5382 0 : B=0.1087558139247680D+0
5383 0 : V=0.1862698414660208D-3
5384 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5385 0 : A=0.2121744174481514D+0
5386 0 : B=0.1413661374253096D+0
5387 0 : V=0.2007430956991861D-3
5388 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5389 0 : A=0.2479669443408145D+0
5390 0 : B=0.1748768214258880D+0
5391 0 : V=0.2126568125394796D-3
5392 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5393 0 : A=0.2837600452294113D+0
5394 0 : B=0.2089216406612073D+0
5395 0 : V=0.2224394603372113D-3
5396 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5397 0 : A=0.3193344933193984D+0
5398 0 : B=0.2431987685545972D+0
5399 0 : V=0.2304264522673135D-3
5400 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5401 0 : A=0.3544935442438745D+0
5402 0 : B=0.2774497054377770D+0
5403 0 : V=0.2368854288424087D-3
5404 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5405 0 : A=0.3890571932288154D+0
5406 0 : B=0.3114460356156915D+0
5407 0 : V=0.2420352089461772D-3
5408 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5409 0 : A=0.4228581214259090D+0
5410 0 : B=0.3449806851913012D+0
5411 0 : V=0.2460597113081295D-3
5412 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5413 0 : A=0.4557387211304052D+0
5414 0 : B=0.3778618641248256D+0
5415 0 : V=0.2491181912257687D-3
5416 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5417 0 : A=0.4875487950541643D+0
5418 0 : B=0.4099086391698978D+0
5419 0 : V=0.2513528194205857D-3
5420 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5421 0 : A=0.5181436529962997D+0
5422 0 : B=0.4409474925853973D+0
5423 0 : V=0.2528943096693220D-3
5424 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5425 0 : A=0.5473824095600661D+0
5426 0 : B=0.4708094517711291D+0
5427 0 : V=0.2538660368488136D-3
5428 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5429 0 : A=0.5751263398976174D+0
5430 0 : B=0.4993275140354637D+0
5431 0 : V=0.2543868648299022D-3
5432 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5433 0 : A=0.1489515746840028D+0
5434 0 : B=0.2599381993267017D-1
5435 0 : V=0.1642595537825183D-3
5436 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5437 0 : A=0.1863656444351767D+0
5438 0 : B=0.5479286532462190D-1
5439 0 : V=0.1818246659849308D-3
5440 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5441 0 : A=0.2238602880356348D+0
5442 0 : B=0.8556763251425254D-1
5443 0 : V=0.1966565649492420D-3
5444 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5445 0 : A=0.2612723375728160D+0
5446 0 : B=0.1177257802267011D+0
5447 0 : V=0.2090677905657991D-3
5448 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5449 0 : A=0.2984332990206190D+0
5450 0 : B=0.1508168456192700D+0
5451 0 : V=0.2193820409510504D-3
5452 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5453 0 : A=0.3351786584663333D+0
5454 0 : B=0.1844801892177727D+0
5455 0 : V=0.2278870827661928D-3
5456 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5457 0 : A=0.3713505522209120D+0
5458 0 : B=0.2184145236087598D+0
5459 0 : V=0.2348283192282090D-3
5460 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5461 0 : A=0.4067981098954663D+0
5462 0 : B=0.2523590641486229D+0
5463 0 : V=0.2404139755581477D-3
5464 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5465 0 : A=0.4413769993687534D+0
5466 0 : B=0.2860812976901373D+0
5467 0 : V=0.2448227407760734D-3
5468 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5469 0 : A=0.4749487182516394D+0
5470 0 : B=0.3193686757808996D+0
5471 0 : V=0.2482110455592573D-3
5472 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5473 0 : A=0.5073798105075426D+0
5474 0 : B=0.3520226949547602D+0
5475 0 : V=0.2507192397774103D-3
5476 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5477 0 : A=0.5385410448878654D+0
5478 0 : B=0.3838544395667890D+0
5479 0 : V=0.2524765968534880D-3
5480 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5481 0 : A=0.5683065353670530D+0
5482 0 : B=0.4146810037640963D+0
5483 0 : V=0.2536052388539425D-3
5484 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5485 0 : A=0.5965527620663510D+0
5486 0 : B=0.4443224094681121D+0
5487 0 : V=0.2542230588033068D-3
5488 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5489 0 : A=0.2299227700856157D+0
5490 0 : B=0.2865757664057584D-1
5491 0 : V=0.1944817013047896D-3
5492 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5493 0 : A=0.2695752998553267D+0
5494 0 : B=0.5923421684485993D-1
5495 0 : V=0.2067862362746635D-3
5496 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5497 0 : A=0.3086178716611389D+0
5498 0 : B=0.9117817776057715D-1
5499 0 : V=0.2172440734649114D-3
5500 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5501 0 : A=0.3469649871659077D+0
5502 0 : B=0.1240593814082605D+0
5503 0 : V=0.2260125991723423D-3
5504 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5505 0 : A=0.3845153566319655D+0
5506 0 : B=0.1575272058259175D+0
5507 0 : V=0.2332655008689523D-3
5508 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5509 0 : A=0.4211600033403215D+0
5510 0 : B=0.1912845163525413D+0
5511 0 : V=0.2391699681532458D-3
5512 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5513 0 : A=0.4567867834329882D+0
5514 0 : B=0.2250710177858171D+0
5515 0 : V=0.2438801528273928D-3
5516 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5517 0 : A=0.4912829319232061D+0
5518 0 : B=0.2586521303440910D+0
5519 0 : V=0.2475370504260665D-3
5520 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5521 0 : A=0.5245364793303812D+0
5522 0 : B=0.2918112242865407D+0
5523 0 : V=0.2502707235640574D-3
5524 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5525 0 : A=0.5564369788915756D+0
5526 0 : B=0.3243439239067890D+0
5527 0 : V=0.2522031701054241D-3
5528 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5529 0 : A=0.5868757697775287D+0
5530 0 : B=0.3560536787835351D+0
5531 0 : V=0.2534511269978784D-3
5532 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5533 0 : A=0.6157458853519617D+0
5534 0 : B=0.3867480821242581D+0
5535 0 : V=0.2541284914955151D-3
5536 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5537 0 : A=0.3138461110672113D+0
5538 0 : B=0.3051374637507278D-1
5539 0 : V=0.2161509250688394D-3
5540 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5541 0 : A=0.3542495872050569D+0
5542 0 : B=0.6237111233730755D-1
5543 0 : V=0.2248778513437852D-3
5544 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5545 0 : A=0.3935751553120181D+0
5546 0 : B=0.9516223952401907D-1
5547 0 : V=0.2322388803404617D-3
5548 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5549 0 : A=0.4317634668111147D+0
5550 0 : B=0.1285467341508517D+0
5551 0 : V=0.2383265471001355D-3
5552 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5553 0 : A=0.4687413842250821D+0
5554 0 : B=0.1622318931656033D+0
5555 0 : V=0.2432476675019525D-3
5556 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5557 0 : A=0.5044274237060283D+0
5558 0 : B=0.1959581153836453D+0
5559 0 : V=0.2471122223750674D-3
5560 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5561 0 : A=0.5387354077925727D+0
5562 0 : B=0.2294888081183837D+0
5563 0 : V=0.2500291752486870D-3
5564 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5565 0 : A=0.5715768898356105D+0
5566 0 : B=0.2626031152713945D+0
5567 0 : V=0.2521055942764682D-3
5568 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5569 0 : A=0.6028627200136111D+0
5570 0 : B=0.2950904075286713D+0
5571 0 : V=0.2534472785575503D-3
5572 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5573 0 : A=0.6325039812653463D+0
5574 0 : B=0.3267458451113286D+0
5575 0 : V=0.2541599713080121D-3
5576 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5577 0 : A=0.3981986708423407D+0
5578 0 : B=0.3183291458749821D-1
5579 0 : V=0.2317380975862936D-3
5580 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5581 0 : A=0.4382791182133300D+0
5582 0 : B=0.6459548193880908D-1
5583 0 : V=0.2378550733719775D-3
5584 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5585 0 : A=0.4769233057218166D+0
5586 0 : B=0.9795757037087952D-1
5587 0 : V=0.2428884456739118D-3
5588 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5589 0 : A=0.5140823911194238D+0
5590 0 : B=0.1316307235126655D+0
5591 0 : V=0.2469002655757292D-3
5592 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5593 0 : A=0.5496977833862983D+0
5594 0 : B=0.1653556486358704D+0
5595 0 : V=0.2499657574265851D-3
5596 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5597 0 : A=0.5837047306512727D+0
5598 0 : B=0.1988931724126510D+0
5599 0 : V=0.2521676168486082D-3
5600 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5601 0 : A=0.6160349566926879D+0
5602 0 : B=0.2320174581438950D+0
5603 0 : V=0.2535935662645334D-3
5604 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5605 0 : A=0.6466185353209440D+0
5606 0 : B=0.2645106562168662D+0
5607 0 : V=0.2543356743363214D-3
5608 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5609 0 : A=0.4810835158795404D+0
5610 0 : B=0.3275917807743992D-1
5611 0 : V=0.2427353285201535D-3
5612 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5613 0 : A=0.5199925041324341D+0
5614 0 : B=0.6612546183967181D-1
5615 0 : V=0.2468258039744386D-3
5616 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5617 0 : A=0.5571717692207494D+0
5618 0 : B=0.9981498331474143D-1
5619 0 : V=0.2500060956440310D-3
5620 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5621 0 : A=0.5925789250836378D+0
5622 0 : B=0.1335687001410374D+0
5623 0 : V=0.2523238365420979D-3
5624 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5625 0 : A=0.6261658523859670D+0
5626 0 : B=0.1671444402896463D+0
5627 0 : V=0.2538399260252846D-3
5628 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5629 0 : A=0.6578811126669331D+0
5630 0 : B=0.2003106382156076D+0
5631 0 : V=0.2546255927268069D-3
5632 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5633 0 : A=0.5609624612998100D+0
5634 0 : B=0.3337500940231335D-1
5635 0 : V=0.2500583360048449D-3
5636 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5637 0 : A=0.5979959659984670D+0
5638 0 : B=0.6708750335901803D-1
5639 0 : V=0.2524777638260203D-3
5640 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5641 0 : A=0.6330523711054002D+0
5642 0 : B=0.1008792126424850D+0
5643 0 : V=0.2540951193860656D-3
5644 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5645 0 : A=0.6660960998103972D+0
5646 0 : B=0.1345050343171794D+0
5647 0 : V=0.2549524085027472D-3
5648 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5649 0 : A=0.6365384364585819D+0
5650 0 : B=0.3372799460737052D-1
5651 0 : V=0.2542569507009158D-3
5652 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5653 0 : A=0.6710994302899275D+0
5654 0 : B=0.6755249309678028D-1
5655 0 : V=0.2552114127580376D-3
5656 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5657 0 : N=N-1
5658 0 : end subroutine LD4334
5659 : !!***
5660 :
5661 0 : SUBROUTINE LD4802(X,Y,Z,W,N)
5662 :
5663 : DOUBLE PRECISION X(4802)
5664 : DOUBLE PRECISION Y(4802)
5665 : DOUBLE PRECISION Z(4802)
5666 : DOUBLE PRECISION W(4802)
5667 : INTEGER N
5668 : DOUBLE PRECISION A,B,V
5669 : !CVW
5670 : !CVW LEBEDEV 4802-POINT ANGULAR GRID
5671 : !CVW
5672 : !chvd
5673 : !chvd This subroutine is part of a set of subroutines that generate
5674 : !chvd Lebedev grids [1-6] for integration on a sphere. The original
5675 : !chvd C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
5676 : !chvd translated into fortran by Dr. Christoph van Wuellen.
5677 : !chvd This subroutine was translated using a C to fortran77 conversion
5678 : !chvd tool written by Dr. Christoph van Wuellen.
5679 : !chvd
5680 : !chvd Users of this code are asked to include reference [1] in their
5681 : !chvd publications, and in the user- and programmers-manuals
5682 : !chvd describing their codes.
5683 : !chvd
5684 : !chvd This code was distributed through CCL (http://www.ccl.net/).
5685 : !chvd
5686 : !chvd [1] V.I. Lebedev, and D.N. Laikov
5687 : !chvd "A quadrature formula for the sphere of the 131st
5688 : !chvd algebraic order of accuracy"
5689 : !chvd Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481. [[cite:Lebedev1999]]
5690 : !chvd
5691 : !chvd [2] V.I. Lebedev
5692 : !chvd "A quadrature formula for the sphere of 59th algebraic
5693 : !chvd order of accuracy"
5694 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286. [[cite:Lebedev1995]]
5695 : !chvd
5696 : !chvd [3] V.I. Lebedev, and A.L. Skorokhodov
5697 : !chvd "Quadrature formulas of orders 41, 47, and 53 for the sphere"
5698 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592. [[cite:Lebedev1992]]
5699 : !chvd
5700 : !chvd [4] V.I. Lebedev
5701 : !chvd "Spherical quadrature formulas exact to orders 25-29"
5702 : !chvd Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107. [[cite:Lebedev1977]]
5703 : !chvd
5704 : !chvd [5] V.I. Lebedev
5705 : !chvd "Quadratures on a sphere"
5706 : !chvd Computational Mathematics and Mathematical Physics, Vol. 16, 1976, pp. 10-24. [[cite:Lebedev1976]]
5707 : !chvd
5708 : !chvd [6] V.I. Lebedev
5709 : !chvd "Values of the nodes and weights of ninth to seventeenth
5710 : !chvd order Gauss-Markov quadrature formulae invariant under the
5711 : !chvd octahedron group with inversion"
5712 : !chvd Computational Mathematics and Mathematical Physics, Vol. 15, 1975, pp. 44-51. [[cite:Lebedev1975]]
5713 : !chvd
5714 0 : N=1
5715 0 : V=0.9687521879420705D-4
5716 0 : Call GEN_OH( 1, N, X(N), Y(N), Z(N), W(N), A, B, V)
5717 0 : V=0.2307897895367918D-3
5718 0 : Call GEN_OH( 2, N, X(N), Y(N), Z(N), W(N), A, B, V)
5719 0 : V=0.2297310852498558D-3
5720 0 : Call GEN_OH( 3, N, X(N), Y(N), Z(N), W(N), A, B, V)
5721 0 : A=0.2335728608887064D-1
5722 0 : V=0.7386265944001919D-4
5723 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
5724 0 : A=0.4352987836550653D-1
5725 0 : V=0.8257977698542210D-4
5726 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
5727 0 : A=0.6439200521088801D-1
5728 0 : V=0.9706044762057630D-4
5729 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
5730 0 : A=0.9003943631993181D-1
5731 0 : V=0.1302393847117003D-3
5732 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
5733 0 : A=0.1196706615548473D+0
5734 0 : V=0.1541957004600968D-3
5735 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
5736 0 : A=0.1511715412838134D+0
5737 0 : V=0.1704459770092199D-3
5738 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
5739 0 : A=0.1835982828503801D+0
5740 0 : V=0.1827374890942906D-3
5741 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
5742 0 : A=0.2165081259155405D+0
5743 0 : V=0.1926360817436107D-3
5744 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
5745 0 : A=0.2496208720417563D+0
5746 0 : V=0.2008010239494833D-3
5747 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
5748 0 : A=0.2827200673567900D+0
5749 0 : V=0.2075635983209175D-3
5750 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
5751 0 : A=0.3156190823994346D+0
5752 0 : V=0.2131306638690909D-3
5753 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
5754 0 : A=0.3481476793749115D+0
5755 0 : V=0.2176562329937335D-3
5756 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
5757 0 : A=0.3801466086947226D+0
5758 0 : V=0.2212682262991018D-3
5759 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
5760 0 : A=0.4114652119634011D+0
5761 0 : V=0.2240799515668565D-3
5762 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
5763 0 : A=0.4419598786519751D+0
5764 0 : V=0.2261959816187525D-3
5765 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
5766 0 : A=0.4714925949329543D+0
5767 0 : V=0.2277156368808855D-3
5768 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
5769 0 : A=0.4999293972879466D+0
5770 0 : V=0.2287351772128336D-3
5771 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
5772 0 : A=0.5271387221431248D+0
5773 0 : V=0.2293490814084085D-3
5774 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
5775 0 : A=0.5529896780837761D+0
5776 0 : V=0.2296505312376273D-3
5777 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
5778 0 : A=0.6000856099481712D+0
5779 0 : V=0.2296793832318756D-3
5780 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
5781 0 : A=0.6210562192785175D+0
5782 0 : V=0.2295785443842974D-3
5783 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
5784 0 : A=0.6401165879934240D+0
5785 0 : V=0.2295017931529102D-3
5786 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
5787 0 : A=0.6571144029244334D+0
5788 0 : V=0.2295059638184868D-3
5789 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
5790 0 : A=0.6718910821718863D+0
5791 0 : V=0.2296232343237362D-3
5792 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
5793 0 : A=0.6842845591099010D+0
5794 0 : V=0.2298530178740771D-3
5795 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
5796 0 : A=0.6941353476269816D+0
5797 0 : V=0.2301579790280501D-3
5798 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
5799 0 : A=0.7012965242212991D+0
5800 0 : V=0.2304690404996513D-3
5801 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
5802 0 : A=0.7056471428242644D+0
5803 0 : V=0.2307027995907102D-3
5804 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
5805 0 : A=0.4595557643585895D-1
5806 0 : V=0.9312274696671092D-4
5807 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
5808 0 : A=0.1049316742435023D+0
5809 0 : V=0.1199919385876926D-3
5810 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
5811 0 : A=0.1773548879549274D+0
5812 0 : V=0.1598039138877690D-3
5813 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
5814 0 : A=0.2559071411236127D+0
5815 0 : V=0.1822253763574900D-3
5816 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
5817 0 : A=0.3358156837985898D+0
5818 0 : V=0.1988579593655040D-3
5819 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
5820 0 : A=0.4155835743763893D+0
5821 0 : V=0.2112620102533307D-3
5822 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
5823 0 : A=0.4937894296167472D+0
5824 0 : V=0.2201594887699007D-3
5825 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
5826 0 : A=0.5691569694793316D+0
5827 0 : V=0.2261622590895036D-3
5828 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
5829 0 : A=0.6405840854894251D+0
5830 0 : V=0.2296458453435705D-3
5831 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
5832 0 : A=0.7345133894143348D-1
5833 0 : B=0.2177844081486067D-1
5834 0 : V=0.1006006990267000D-3
5835 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5836 0 : A=0.1009859834044931D+0
5837 0 : B=0.4590362185775188D-1
5838 0 : V=0.1227676689635876D-3
5839 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5840 0 : A=0.1324289619748758D+0
5841 0 : B=0.7255063095690877D-1
5842 0 : V=0.1467864280270117D-3
5843 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5844 0 : A=0.1654272109607127D+0
5845 0 : B=0.1017825451960684D+0
5846 0 : V=0.1644178912101232D-3
5847 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5848 0 : A=0.1990767186776461D+0
5849 0 : B=0.1325652320980364D+0
5850 0 : V=0.1777664890718961D-3
5851 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5852 0 : A=0.2330125945523278D+0
5853 0 : B=0.1642765374496765D+0
5854 0 : V=0.1884825664516690D-3
5855 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5856 0 : A=0.2670080611108287D+0
5857 0 : B=0.1965360374337889D+0
5858 0 : V=0.1973269246453848D-3
5859 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5860 0 : A=0.3008753376294316D+0
5861 0 : B=0.2290726770542238D+0
5862 0 : V=0.2046767775855328D-3
5863 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5864 0 : A=0.3344475596167860D+0
5865 0 : B=0.2616645495370823D+0
5866 0 : V=0.2107600125918040D-3
5867 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5868 0 : A=0.3675709724070786D+0
5869 0 : B=0.2941150728843141D+0
5870 0 : V=0.2157416362266829D-3
5871 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5872 0 : A=0.4001000887587812D+0
5873 0 : B=0.3262440400919066D+0
5874 0 : V=0.2197557816920721D-3
5875 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5876 0 : A=0.4318956350436028D+0
5877 0 : B=0.3578835350611916D+0
5878 0 : V=0.2229192611835437D-3
5879 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5880 0 : A=0.4628239056795531D+0
5881 0 : B=0.3888751854043678D+0
5882 0 : V=0.2253385110212775D-3
5883 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5884 0 : A=0.4927563229773636D+0
5885 0 : B=0.4190678003222840D+0
5886 0 : V=0.2271137107548774D-3
5887 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5888 0 : A=0.5215687136707969D+0
5889 0 : B=0.4483151836883852D+0
5890 0 : V=0.2283414092917525D-3
5891 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5892 0 : A=0.5491402346984905D+0
5893 0 : B=0.4764740676087880D+0
5894 0 : V=0.2291161673130077D-3
5895 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5896 0 : A=0.5753520160126075D+0
5897 0 : B=0.5034021310998277D+0
5898 0 : V=0.2295313908576598D-3
5899 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5900 0 : A=0.1388326356417754D+0
5901 0 : B=0.2435436510372806D-1
5902 0 : V=0.1438204721359031D-3
5903 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5904 0 : A=0.1743686900537244D+0
5905 0 : B=0.5118897057342652D-1
5906 0 : V=0.1607738025495257D-3
5907 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5908 0 : A=0.2099737037950268D+0
5909 0 : B=0.8014695048539634D-1
5910 0 : V=0.1741483853528379D-3
5911 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5912 0 : A=0.2454492590908548D+0
5913 0 : B=0.1105117874155699D+0
5914 0 : V=0.1851918467519151D-3
5915 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5916 0 : A=0.2807219257864278D+0
5917 0 : B=0.1417950531570966D+0
5918 0 : V=0.1944628638070613D-3
5919 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5920 0 : A=0.3156842271975842D+0
5921 0 : B=0.1736604945719597D+0
5922 0 : V=0.2022495446275152D-3
5923 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5924 0 : A=0.3502090945177752D+0
5925 0 : B=0.2058466324693981D+0
5926 0 : V=0.2087462382438514D-3
5927 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5928 0 : A=0.3841684849519686D+0
5929 0 : B=0.2381284261195919D+0
5930 0 : V=0.2141074754818308D-3
5931 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5932 0 : A=0.4174372367906016D+0
5933 0 : B=0.2703031270422569D+0
5934 0 : V=0.2184640913748162D-3
5935 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5936 0 : A=0.4498926465011892D+0
5937 0 : B=0.3021845683091309D+0
5938 0 : V=0.2219309165220329D-3
5939 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5940 0 : A=0.4814146229807701D+0
5941 0 : B=0.3335993355165720D+0
5942 0 : V=0.2246123118340624D-3
5943 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5944 0 : A=0.5118863625734701D+0
5945 0 : B=0.3643833735518232D+0
5946 0 : V=0.2266062766915125D-3
5947 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5948 0 : A=0.5411947455119144D+0
5949 0 : B=0.3943789541958179D+0
5950 0 : V=0.2280072952230796D-3
5951 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5952 0 : A=0.5692301500357246D+0
5953 0 : B=0.4234320144403542D+0
5954 0 : V=0.2289082025202583D-3
5955 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5956 0 : A=0.5958857204139576D+0
5957 0 : B=0.4513897947419260D+0
5958 0 : V=0.2294012695120025D-3
5959 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5960 0 : A=0.2156270284785766D+0
5961 0 : B=0.2681225755444491D-1
5962 0 : V=0.1722434488736947D-3
5963 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5964 0 : A=0.2532385054909710D+0
5965 0 : B=0.5557495747805614D-1
5966 0 : V=0.1830237421455091D-3
5967 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5968 0 : A=0.2902564617771537D+0
5969 0 : B=0.8569368062950249D-1
5970 0 : V=0.1923855349997633D-3
5971 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5972 0 : A=0.3266979823143256D+0
5973 0 : B=0.1167367450324135D+0
5974 0 : V=0.2004067861936271D-3
5975 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5976 0 : A=0.3625039627493614D+0
5977 0 : B=0.1483861994003304D+0
5978 0 : V=0.2071817297354263D-3
5979 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5980 0 : A=0.3975838937548699D+0
5981 0 : B=0.1803821503011405D+0
5982 0 : V=0.2128250834102103D-3
5983 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5984 0 : A=0.4318396099009774D+0
5985 0 : B=0.2124962965666424D+0
5986 0 : V=0.2174513719440102D-3
5987 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5988 0 : A=0.4651706555732742D+0
5989 0 : B=0.2445221837805913D+0
5990 0 : V=0.2211661839150214D-3
5991 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5992 0 : A=0.4974752649620969D+0
5993 0 : B=0.2762701224322987D+0
5994 0 : V=0.2240665257813102D-3
5995 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
5996 0 : A=0.5286517579627517D+0
5997 0 : B=0.3075627775211328D+0
5998 0 : V=0.2262439516632620D-3
5999 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6000 0 : A=0.5586001195731895D+0
6001 0 : B=0.3382311089826877D+0
6002 0 : V=0.2277874557231869D-3
6003 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6004 0 : A=0.5872229902021319D+0
6005 0 : B=0.3681108834741399D+0
6006 0 : V=0.2287854314454994D-3
6007 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6008 0 : A=0.6144258616235123D+0
6009 0 : B=0.3970397446872839D+0
6010 0 : V=0.2293268499615575D-3
6011 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6012 0 : A=0.2951676508064861D+0
6013 0 : B=0.2867499538750441D-1
6014 0 : V=0.1912628201529828D-3
6015 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6016 0 : A=0.3335085485472725D+0
6017 0 : B=0.5867879341903510D-1
6018 0 : V=0.1992499672238701D-3
6019 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6020 0 : A=0.3709561760636381D+0
6021 0 : B=0.8961099205022284D-1
6022 0 : V=0.2061275533454027D-3
6023 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6024 0 : A=0.4074722861667498D+0
6025 0 : B=0.1211627927626297D+0
6026 0 : V=0.2119318215968572D-3
6027 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6028 0 : A=0.4429923648839117D+0
6029 0 : B=0.1530748903554898D+0
6030 0 : V=0.2167416581882652D-3
6031 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6032 0 : A=0.4774428052721736D+0
6033 0 : B=0.1851176436721877D+0
6034 0 : V=0.2206430730516600D-3
6035 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6036 0 : A=0.5107446539535904D+0
6037 0 : B=0.2170829107658179D+0
6038 0 : V=0.2237186938699523D-3
6039 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6040 0 : A=0.5428151370542935D+0
6041 0 : B=0.2487786689026271D+0
6042 0 : V=0.2260480075032884D-3
6043 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6044 0 : A=0.5735699292556964D+0
6045 0 : B=0.2800239952795016D+0
6046 0 : V=0.2277098884558542D-3
6047 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6048 0 : A=0.6029253794562866D+0
6049 0 : B=0.3106445702878119D+0
6050 0 : V=0.2287845715109671D-3
6051 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6052 0 : A=0.6307998987073145D+0
6053 0 : B=0.3404689500841194D+0
6054 0 : V=0.2293547268236294D-3
6055 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6056 0 : A=0.3752652273692719D+0
6057 0 : B=0.2997145098184479D-1
6058 0 : V=0.2056073839852528D-3
6059 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6060 0 : A=0.4135383879344028D+0
6061 0 : B=0.6086725898678011D-1
6062 0 : V=0.2114235865831876D-3
6063 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6064 0 : A=0.4506113885153907D+0
6065 0 : B=0.9238849548435643D-1
6066 0 : V=0.2163175629770551D-3
6067 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6068 0 : A=0.4864401554606072D+0
6069 0 : B=0.1242786603851851D+0
6070 0 : V=0.2203392158111650D-3
6071 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6072 0 : A=0.5209708076611709D+0
6073 0 : B=0.1563086731483386D+0
6074 0 : V=0.2235473176847839D-3
6075 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6076 0 : A=0.5541422135830122D+0
6077 0 : B=0.1882696509388506D+0
6078 0 : V=0.2260024141501235D-3
6079 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6080 0 : A=0.5858880915113817D+0
6081 0 : B=0.2199672979126059D+0
6082 0 : V=0.2277675929329182D-3
6083 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6084 0 : A=0.6161399390603444D+0
6085 0 : B=0.2512165482924867D+0
6086 0 : V=0.2289102112284834D-3
6087 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6088 0 : A=0.6448296482255090D+0
6089 0 : B=0.2818368701871888D+0
6090 0 : V=0.2295027954625118D-3
6091 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6092 0 : A=0.4544796274917948D+0
6093 0 : B=0.3088970405060312D-1
6094 0 : V=0.2161281589879992D-3
6095 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6096 0 : A=0.4919389072146628D+0
6097 0 : B=0.6240947677636835D-1
6098 0 : V=0.2201980477395102D-3
6099 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6100 0 : A=0.5279313026985183D+0
6101 0 : B=0.9430706144280313D-1
6102 0 : V=0.2234952066593166D-3
6103 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6104 0 : A=0.5624169925571135D+0
6105 0 : B=0.1263547818770374D+0
6106 0 : V=0.2260540098520838D-3
6107 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6108 0 : A=0.5953484627093287D+0
6109 0 : B=0.1583430788822594D+0
6110 0 : V=0.2279157981899988D-3
6111 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6112 0 : A=0.6266730715339185D+0
6113 0 : B=0.1900748462555988D+0
6114 0 : V=0.2291296918565571D-3
6115 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6116 0 : A=0.6563363204278871D+0
6117 0 : B=0.2213599519592567D+0
6118 0 : V=0.2297533752536649D-3
6119 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6120 0 : A=0.5314574716585696D+0
6121 0 : B=0.3152508811515374D-1
6122 0 : V=0.2234927356465995D-3
6123 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6124 0 : A=0.5674614932298185D+0
6125 0 : B=0.6343865291465561D-1
6126 0 : V=0.2261288012985219D-3
6127 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6128 0 : A=0.6017706004970264D+0
6129 0 : B=0.9551503504223951D-1
6130 0 : V=0.2280818160923688D-3
6131 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6132 0 : A=0.6343471270264178D+0
6133 0 : B=0.1275440099801196D+0
6134 0 : V=0.2293773295180159D-3
6135 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6136 0 : A=0.6651494599127802D+0
6137 0 : B=0.1593252037671960D+0
6138 0 : V=0.2300528767338634D-3
6139 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6140 0 : A=0.6050184986005704D+0
6141 0 : B=0.3192538338496105D-1
6142 0 : V=0.2281893855065666D-3
6143 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6144 0 : A=0.6390163550880400D+0
6145 0 : B=0.6402824353962306D-1
6146 0 : V=0.2295720444840727D-3
6147 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6148 0 : A=0.6711199107088448D+0
6149 0 : B=0.9609805077002909D-1
6150 0 : V=0.2303227649026753D-3
6151 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6152 0 : A=0.6741354429572275D+0
6153 0 : B=0.3211853196273233D-1
6154 0 : V=0.2304831913227114D-3
6155 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6156 0 : N=N-1
6157 0 : end subroutine LD4802
6158 : !!***
6159 :
6160 0 : SUBROUTINE LD5294(X,Y,Z,W,N)
6161 :
6162 : DOUBLE PRECISION X(5294)
6163 : DOUBLE PRECISION Y(5294)
6164 : DOUBLE PRECISION Z(5294)
6165 : DOUBLE PRECISION W(5294)
6166 : INTEGER N
6167 : DOUBLE PRECISION A,B,V
6168 : !CVW
6169 : !CVW LEBEDEV 5294-POINT ANGULAR GRID
6170 : !CVW
6171 : !chvd
6172 : !chvd This subroutine is part of a set of subroutines that generate
6173 : !chvd Lebedev grids [1-6] for integration on a sphere. The original
6174 : !chvd C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
6175 : !chvd translated into fortran by Dr. Christoph van Wuellen.
6176 : !chvd This subroutine was translated using a C to fortran77 conversion
6177 : !chvd tool written by Dr. Christoph van Wuellen.
6178 : !chvd
6179 : !chvd Users of this code are asked to include reference [1] in their
6180 : !chvd publications, and in the user- and programmers-manuals
6181 : !chvd describing their codes.
6182 : !chvd
6183 : !chvd This code was distributed through CCL (http://www.ccl.net/).
6184 : !chvd
6185 : !chvd [1] V.I. Lebedev, and D.N. Laikov
6186 : !chvd "A quadrature formula for the sphere of the 131st
6187 : !chvd algebraic order of accuracy"
6188 : !chvd Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481. [[cite:Lebedev1999]]
6189 : !chvd
6190 : !chvd [2] V.I. Lebedev
6191 : !chvd "A quadrature formula for the sphere of 59th algebraic
6192 : !chvd order of accuracy"
6193 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286. [[cite:Lebedev1995]]
6194 : !chvd
6195 : !chvd [3] V.I. Lebedev, and A.L. Skorokhodov
6196 : !chvd "Quadrature formulas of orders 41, 47, and 53 for the sphere"
6197 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592. [[cite:Lebedev1992]]
6198 : !chvd
6199 : !chvd [4] V.I. Lebedev
6200 : !chvd "Spherical quadrature formulas exact to orders 25-29"
6201 : !chvd Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107. [[cite:Lebedev1977]]
6202 : !chvd
6203 : !chvd [5] V.I. Lebedev
6204 : !chvd "Quadratures on a sphere"
6205 : !chvd Computational Mathematics and Mathematical Physics, Vol. 16, 1976, pp. 10-24. [[cite:Lebedev1976]]
6206 : !chvd
6207 : !chvd [6] V.I. Lebedev
6208 : !chvd "Values of the nodes and weights of ninth to seventeenth
6209 : !chvd order Gauss-Markov quadrature formulae invariant under the
6210 : !chvd octahedron group with inversion"
6211 : !chvd Computational Mathematics and Mathematical Physics, Vol. 15, 1975, pp. 44-51. [[cite:Lebedev1975]]
6212 : !chvd
6213 0 : N=1
6214 0 : V=0.9080510764308163D-4
6215 0 : Call GEN_OH( 1, N, X(N), Y(N), Z(N), W(N), A, B, V)
6216 0 : V=0.2084824361987793D-3
6217 0 : Call GEN_OH( 3, N, X(N), Y(N), Z(N), W(N), A, B, V)
6218 0 : A=0.2303261686261450D-1
6219 0 : V=0.5011105657239616D-4
6220 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6221 0 : A=0.3757208620162394D-1
6222 0 : V=0.5942520409683854D-4
6223 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6224 0 : A=0.5821912033821852D-1
6225 0 : V=0.9564394826109721D-4
6226 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6227 0 : A=0.8403127529194872D-1
6228 0 : V=0.1185530657126338D-3
6229 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6230 0 : A=0.1122927798060578D+0
6231 0 : V=0.1364510114230331D-3
6232 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6233 0 : A=0.1420125319192987D+0
6234 0 : V=0.1505828825605415D-3
6235 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6236 0 : A=0.1726396437341978D+0
6237 0 : V=0.1619298749867023D-3
6238 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6239 0 : A=0.2038170058115696D+0
6240 0 : V=0.1712450504267789D-3
6241 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6242 0 : A=0.2352849892876508D+0
6243 0 : V=0.1789891098164999D-3
6244 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6245 0 : A=0.2668363354312461D+0
6246 0 : V=0.1854474955629795D-3
6247 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6248 0 : A=0.2982941279900452D+0
6249 0 : V=0.1908148636673661D-3
6250 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6251 0 : A=0.3295002922087076D+0
6252 0 : V=0.1952377405281833D-3
6253 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6254 0 : A=0.3603094918363593D+0
6255 0 : V=0.1988349254282232D-3
6256 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6257 0 : A=0.3905857895173920D+0
6258 0 : V=0.2017079807160050D-3
6259 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6260 0 : A=0.4202005758160837D+0
6261 0 : V=0.2039473082709094D-3
6262 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6263 0 : A=0.4490310061597227D+0
6264 0 : V=0.2056360279288953D-3
6265 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6266 0 : A=0.4769586160311491D+0
6267 0 : V=0.2068525823066865D-3
6268 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6269 0 : A=0.5038679887049750D+0
6270 0 : V=0.2076724877534488D-3
6271 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6272 0 : A=0.5296454286519961D+0
6273 0 : V=0.2081694278237885D-3
6274 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6275 0 : A=0.5541776207164850D+0
6276 0 : V=0.2084157631219326D-3
6277 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6278 0 : A=0.5990467321921213D+0
6279 0 : V=0.2084381531128593D-3
6280 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6281 0 : A=0.6191467096294587D+0
6282 0 : V=0.2083476277129307D-3
6283 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6284 0 : A=0.6375251212901849D+0
6285 0 : V=0.2082686194459732D-3
6286 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6287 0 : A=0.6540514381131168D+0
6288 0 : V=0.2082475686112415D-3
6289 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6290 0 : A=0.6685899064391510D+0
6291 0 : V=0.2083139860289915D-3
6292 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6293 0 : A=0.6810013009681648D+0
6294 0 : V=0.2084745561831237D-3
6295 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6296 0 : A=0.6911469578730340D+0
6297 0 : V=0.2087091313375890D-3
6298 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6299 0 : A=0.6988956915141736D+0
6300 0 : V=0.2089718413297697D-3
6301 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6302 0 : A=0.7041335794868720D+0
6303 0 : V=0.2092003303479793D-3
6304 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6305 0 : A=0.7067754398018567D+0
6306 0 : V=0.2093336148263241D-3
6307 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6308 0 : A=0.3840368707853623D-1
6309 0 : V=0.7591708117365267D-4
6310 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
6311 0 : A=0.9835485954117399D-1
6312 0 : V=0.1083383968169186D-3
6313 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
6314 0 : A=0.1665774947612998D+0
6315 0 : V=0.1403019395292510D-3
6316 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
6317 0 : A=0.2405702335362910D+0
6318 0 : V=0.1615970179286436D-3
6319 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
6320 0 : A=0.3165270770189046D+0
6321 0 : V=0.1771144187504911D-3
6322 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
6323 0 : A=0.3927386145645443D+0
6324 0 : V=0.1887760022988168D-3
6325 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
6326 0 : A=0.4678825918374656D+0
6327 0 : V=0.1973474670768214D-3
6328 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
6329 0 : A=0.5408022024266935D+0
6330 0 : V=0.2033787661234659D-3
6331 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
6332 0 : A=0.6104967445752438D+0
6333 0 : V=0.2072343626517331D-3
6334 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
6335 0 : A=0.6760910702685738D+0
6336 0 : V=0.2091177834226918D-3
6337 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
6338 0 : A=0.6655644120217392D-1
6339 0 : B=0.1936508874588424D-1
6340 0 : V=0.9316684484675566D-4
6341 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6342 0 : A=0.9446246161270182D-1
6343 0 : B=0.4252442002115869D-1
6344 0 : V=0.1116193688682976D-3
6345 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6346 0 : A=0.1242651925452509D+0
6347 0 : B=0.6806529315354374D-1
6348 0 : V=0.1298623551559414D-3
6349 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6350 0 : A=0.1553438064846751D+0
6351 0 : B=0.9560957491205369D-1
6352 0 : V=0.1450236832456426D-3
6353 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6354 0 : A=0.1871137110542670D+0
6355 0 : B=0.1245931657452888D+0
6356 0 : V=0.1572719958149914D-3
6357 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6358 0 : A=0.2192612628836257D+0
6359 0 : B=0.1545385828778978D+0
6360 0 : V=0.1673234785867195D-3
6361 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6362 0 : A=0.2515682807206955D+0
6363 0 : B=0.1851004249723368D+0
6364 0 : V=0.1756860118725188D-3
6365 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6366 0 : A=0.2838535866287290D+0
6367 0 : B=0.2160182608272384D+0
6368 0 : V=0.1826776290439367D-3
6369 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6370 0 : A=0.3159578817528521D+0
6371 0 : B=0.2470799012277111D+0
6372 0 : V=0.1885116347992865D-3
6373 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6374 0 : A=0.3477370882791392D+0
6375 0 : B=0.2781014208986402D+0
6376 0 : V=0.1933457860170574D-3
6377 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6378 0 : A=0.3790576960890540D+0
6379 0 : B=0.3089172523515731D+0
6380 0 : V=0.1973060671902064D-3
6381 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6382 0 : A=0.4097938317810200D+0
6383 0 : B=0.3393750055472244D+0
6384 0 : V=0.2004987099616311D-3
6385 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6386 0 : A=0.4398256572859637D+0
6387 0 : B=0.3693322470987730D+0
6388 0 : V=0.2030170909281499D-3
6389 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6390 0 : A=0.4690384114718480D+0
6391 0 : B=0.3986541005609877D+0
6392 0 : V=0.2049461460119080D-3
6393 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6394 0 : A=0.4973216048301053D+0
6395 0 : B=0.4272112491408562D+0
6396 0 : V=0.2063653565200186D-3
6397 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6398 0 : A=0.5245681526132446D+0
6399 0 : B=0.4548781735309936D+0
6400 0 : V=0.2073507927381027D-3
6401 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6402 0 : A=0.5506733911803888D+0
6403 0 : B=0.4815315355023251D+0
6404 0 : V=0.2079764593256122D-3
6405 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6406 0 : A=0.5755339829522475D+0
6407 0 : B=0.5070486445801855D+0
6408 0 : V=0.2083150534968778D-3
6409 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6410 0 : A=0.1305472386056362D+0
6411 0 : B=0.2284970375722366D-1
6412 0 : V=0.1262715121590664D-3
6413 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6414 0 : A=0.1637327908216477D+0
6415 0 : B=0.4812254338288384D-1
6416 0 : V=0.1414386128545972D-3
6417 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6418 0 : A=0.1972734634149637D+0
6419 0 : B=0.7531734457511935D-1
6420 0 : V=0.1538740401313898D-3
6421 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6422 0 : A=0.2308694653110130D+0
6423 0 : B=0.1039043639882017D+0
6424 0 : V=0.1642434942331432D-3
6425 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6426 0 : A=0.2643899218338160D+0
6427 0 : B=0.1334526587117626D+0
6428 0 : V=0.1729790609237496D-3
6429 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6430 0 : A=0.2977171599622171D+0
6431 0 : B=0.1636414868936382D+0
6432 0 : V=0.1803505190260828D-3
6433 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6434 0 : A=0.3307293903032310D+0
6435 0 : B=0.1942195406166568D+0
6436 0 : V=0.1865475350079657D-3
6437 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6438 0 : A=0.3633069198219073D+0
6439 0 : B=0.2249752879943753D+0
6440 0 : V=0.1917182669679069D-3
6441 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6442 0 : A=0.3953346955922727D+0
6443 0 : B=0.2557218821820032D+0
6444 0 : V=0.1959851709034382D-3
6445 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6446 0 : A=0.4267018394184914D+0
6447 0 : B=0.2862897925213193D+0
6448 0 : V=0.1994529548117882D-3
6449 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6450 0 : A=0.4573009622571704D+0
6451 0 : B=0.3165224536636518D+0
6452 0 : V=0.2022138911146548D-3
6453 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6454 0 : A=0.4870279559856109D+0
6455 0 : B=0.3462730221636496D+0
6456 0 : V=0.2043518024208592D-3
6457 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6458 0 : A=0.5157819581450322D+0
6459 0 : B=0.3754016870282835D+0
6460 0 : V=0.2059450313018110D-3
6461 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6462 0 : A=0.5434651666465393D+0
6463 0 : B=0.4037733784993613D+0
6464 0 : V=0.2070685715318472D-3
6465 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6466 0 : A=0.5699823887764627D+0
6467 0 : B=0.4312557784139123D+0
6468 0 : V=0.2077955310694373D-3
6469 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6470 0 : A=0.5952403350947741D+0
6471 0 : B=0.4577175367122110D+0
6472 0 : V=0.2081980387824712D-3
6473 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6474 0 : A=0.2025152599210369D+0
6475 0 : B=0.2520253617719557D-1
6476 0 : V=0.1521318610377956D-3
6477 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6478 0 : A=0.2381066653274425D+0
6479 0 : B=0.5223254506119000D-1
6480 0 : V=0.1622772720185755D-3
6481 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6482 0 : A=0.2732823383651612D+0
6483 0 : B=0.8060669688588620D-1
6484 0 : V=0.1710498139420709D-3
6485 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6486 0 : A=0.3080137692611118D+0
6487 0 : B=0.1099335754081255D+0
6488 0 : V=0.1785911149448736D-3
6489 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6490 0 : A=0.3422405614587601D+0
6491 0 : B=0.1399120955959857D+0
6492 0 : V=0.1850125313687736D-3
6493 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6494 0 : A=0.3758808773890420D+0
6495 0 : B=0.1702977801651705D+0
6496 0 : V=0.1904229703933298D-3
6497 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6498 0 : A=0.4088458383438932D+0
6499 0 : B=0.2008799256601680D+0
6500 0 : V=0.1949259956121987D-3
6501 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6502 0 : A=0.4410450550841152D+0
6503 0 : B=0.2314703052180836D+0
6504 0 : V=0.1986161545363960D-3
6505 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6506 0 : A=0.4723879420561312D+0
6507 0 : B=0.2618972111375892D+0
6508 0 : V=0.2015790585641370D-3
6509 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6510 0 : A=0.5027843561874343D+0
6511 0 : B=0.2920013195600270D+0
6512 0 : V=0.2038934198707418D-3
6513 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6514 0 : A=0.5321453674452458D+0
6515 0 : B=0.3216322555190551D+0
6516 0 : V=0.2056334060538251D-3
6517 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6518 0 : A=0.5603839113834030D+0
6519 0 : B=0.3506456615934198D+0
6520 0 : V=0.2068705959462289D-3
6521 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6522 0 : A=0.5874150706875146D+0
6523 0 : B=0.3789007181306267D+0
6524 0 : V=0.2076753906106002D-3
6525 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6526 0 : A=0.6131559381660038D+0
6527 0 : B=0.4062580170572782D+0
6528 0 : V=0.2081179391734803D-3
6529 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6530 0 : A=0.2778497016394506D+0
6531 0 : B=0.2696271276876226D-1
6532 0 : V=0.1700345216228943D-3
6533 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6534 0 : A=0.3143733562261912D+0
6535 0 : B=0.5523469316960465D-1
6536 0 : V=0.1774906779990410D-3
6537 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6538 0 : A=0.3501485810261827D+0
6539 0 : B=0.8445193201626464D-1
6540 0 : V=0.1839659377002642D-3
6541 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6542 0 : A=0.3851430322303653D+0
6543 0 : B=0.1143263119336083D+0
6544 0 : V=0.1894987462975169D-3
6545 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6546 0 : A=0.4193013979470415D+0
6547 0 : B=0.1446177898344475D+0
6548 0 : V=0.1941548809452595D-3
6549 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6550 0 : A=0.4525585960458567D+0
6551 0 : B=0.1751165438438091D+0
6552 0 : V=0.1980078427252384D-3
6553 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6554 0 : A=0.4848447779622947D+0
6555 0 : B=0.2056338306745660D+0
6556 0 : V=0.2011296284744488D-3
6557 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6558 0 : A=0.5160871208276894D+0
6559 0 : B=0.2359965487229226D+0
6560 0 : V=0.2035888456966776D-3
6561 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6562 0 : A=0.5462112185696926D+0
6563 0 : B=0.2660430223139146D+0
6564 0 : V=0.2054516325352142D-3
6565 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6566 0 : A=0.5751425068101757D+0
6567 0 : B=0.2956193664498032D+0
6568 0 : V=0.2067831033092635D-3
6569 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6570 0 : A=0.6028073872853596D+0
6571 0 : B=0.3245763905312779D+0
6572 0 : V=0.2076485320284876D-3
6573 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6574 0 : A=0.6291338275278409D+0
6575 0 : B=0.3527670026206972D+0
6576 0 : V=0.2081141439525255D-3
6577 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6578 0 : A=0.3541797528439391D+0
6579 0 : B=0.2823853479435550D-1
6580 0 : V=0.1834383015469222D-3
6581 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6582 0 : A=0.3908234972074657D+0
6583 0 : B=0.5741296374713106D-1
6584 0 : V=0.1889540591777677D-3
6585 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6586 0 : A=0.4264408450107590D+0
6587 0 : B=0.8724646633650199D-1
6588 0 : V=0.1936677023597375D-3
6589 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6590 0 : A=0.4609949666553286D+0
6591 0 : B=0.1175034422915616D+0
6592 0 : V=0.1976176495066504D-3
6593 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6594 0 : A=0.4944389496536006D+0
6595 0 : B=0.1479755652628428D+0
6596 0 : V=0.2008536004560983D-3
6597 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6598 0 : A=0.5267194884346086D+0
6599 0 : B=0.1784740659484352D+0
6600 0 : V=0.2034280351712291D-3
6601 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6602 0 : A=0.5577787810220990D+0
6603 0 : B=0.2088245700431244D+0
6604 0 : V=0.2053944466027758D-3
6605 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6606 0 : A=0.5875563763536670D+0
6607 0 : B=0.2388628136570763D+0
6608 0 : V=0.2068077642882360D-3
6609 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6610 0 : A=0.6159910016391269D+0
6611 0 : B=0.2684308928769185D+0
6612 0 : V=0.2077250949661599D-3
6613 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6614 0 : A=0.6430219602956268D+0
6615 0 : B=0.2973740761960252D+0
6616 0 : V=0.2082062440705320D-3
6617 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6618 0 : A=0.4300647036213646D+0
6619 0 : B=0.2916399920493977D-1
6620 0 : V=0.1934374486546626D-3
6621 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6622 0 : A=0.4661486308935531D+0
6623 0 : B=0.5898803024755659D-1
6624 0 : V=0.1974107010484300D-3
6625 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6626 0 : A=0.5009658555287261D+0
6627 0 : B=0.8924162698525409D-1
6628 0 : V=0.2007129290388658D-3
6629 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6630 0 : A=0.5344824270447704D+0
6631 0 : B=0.1197185199637321D+0
6632 0 : V=0.2033736947471293D-3
6633 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6634 0 : A=0.5666575997416371D+0
6635 0 : B=0.1502300756161382D+0
6636 0 : V=0.2054287125902493D-3
6637 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6638 0 : A=0.5974457471404752D+0
6639 0 : B=0.1806004191913564D+0
6640 0 : V=0.2069184936818894D-3
6641 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6642 0 : A=0.6267984444116886D+0
6643 0 : B=0.2106621764786252D+0
6644 0 : V=0.2078883689808782D-3
6645 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6646 0 : A=0.6546664713575417D+0
6647 0 : B=0.2402526932671914D+0
6648 0 : V=0.2083886366116359D-3
6649 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6650 0 : A=0.5042711004437253D+0
6651 0 : B=0.2982529203607657D-1
6652 0 : V=0.2006593275470817D-3
6653 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6654 0 : A=0.5392127456774380D+0
6655 0 : B=0.6008728062339922D-1
6656 0 : V=0.2033728426135397D-3
6657 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6658 0 : A=0.5726819437668618D+0
6659 0 : B=0.9058227674571398D-1
6660 0 : V=0.2055008781377608D-3
6661 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6662 0 : A=0.6046469254207278D+0
6663 0 : B=0.1211219235803400D+0
6664 0 : V=0.2070651783518502D-3
6665 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6666 0 : A=0.6350716157434952D+0
6667 0 : B=0.1515286404791580D+0
6668 0 : V=0.2080953335094320D-3
6669 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6670 0 : A=0.6639177679185454D+0
6671 0 : B=0.1816314681255552D+0
6672 0 : V=0.2086284998988521D-3
6673 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6674 0 : A=0.5757276040972253D+0
6675 0 : B=0.3026991752575440D-1
6676 0 : V=0.2055549387644668D-3
6677 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6678 0 : A=0.6090265823139755D+0
6679 0 : B=0.6078402297870770D-1
6680 0 : V=0.2071871850267654D-3
6681 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6682 0 : A=0.6406735344387661D+0
6683 0 : B=0.9135459984176636D-1
6684 0 : V=0.2082856600431965D-3
6685 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6686 0 : A=0.6706397927793709D+0
6687 0 : B=0.1218024155966590D+0
6688 0 : V=0.2088705858819358D-3
6689 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6690 0 : A=0.6435019674426665D+0
6691 0 : B=0.3052608357660639D-1
6692 0 : V=0.2083995867536322D-3
6693 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6694 0 : A=0.6747218676375681D+0
6695 0 : B=0.6112185773983089D-1
6696 0 : V=0.2090509712889637D-3
6697 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6698 0 : N=N-1
6699 0 : end subroutine LD5294
6700 : !!***
6701 :
6702 0 : SUBROUTINE LD5810(X,Y,Z,W,N)
6703 :
6704 : DOUBLE PRECISION X(5810)
6705 : DOUBLE PRECISION Y(5810)
6706 : DOUBLE PRECISION Z(5810)
6707 : DOUBLE PRECISION W(5810)
6708 : INTEGER N
6709 : DOUBLE PRECISION A,B,V
6710 : !CVW
6711 : !CVW LEBEDEV 5810-POINT ANGULAR GRID
6712 : !CVW
6713 : !chvd
6714 : !chvd This subroutine is part of a set of subroutines that generate
6715 : !chvd Lebedev grids [1-6] for integration on a sphere. The original
6716 : !chvd C-code [1] was kindly provided by Dr. Dmitri N. Laikov and
6717 : !chvd translated into fortran by Dr. Christoph van Wuellen.
6718 : !chvd This subroutine was translated using a C to fortran77 conversion
6719 : !chvd tool written by Dr. Christoph van Wuellen.
6720 : !chvd
6721 : !chvd Users of this code are asked to include reference [1] in their
6722 : !chvd publications, and in the user- and programmers-manuals
6723 : !chvd describing their codes.
6724 : !chvd
6725 : !chvd This code was distributed through CCL (http://www.ccl.net/).
6726 : !chvd
6727 : !chvd [1] V.I. Lebedev, and D.N. Laikov
6728 : !chvd "A quadrature formula for the sphere of the 131st
6729 : !chvd algebraic order of accuracy"
6730 : !chvd Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481. [[cite:Lebedev1999]]
6731 : !chvd
6732 : !chvd [2] V.I. Lebedev
6733 : !chvd "A quadrature formula for the sphere of 59th algebraic
6734 : !chvd order of accuracy"
6735 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286. [[cite:Lebedev1995]]
6736 : !chvd
6737 : !chvd [3] V.I. Lebedev, and A.L. Skorokhodov
6738 : !chvd "Quadrature formulas of orders 41, 47, and 53 for the sphere"
6739 : !chvd Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592. [[cite:Lebedev1992]]
6740 : !chvd
6741 : !chvd [4] V.I. Lebedev
6742 : !chvd "Spherical quadrature formulas exact to orders 25-29"
6743 : !chvd Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107. [[cite:Lebedev1977]]
6744 : !chvd
6745 : !chvd [5] V.I. Lebedev
6746 : !chvd "Quadratures on a sphere"
6747 : !chvd Computational Mathematics and Mathematical Physics, Vol. 16, 1976, pp. 10-24. [[cite:Lebedev1976]]
6748 : !chvd
6749 : !chvd [6] V.I. Lebedev
6750 : !chvd "Values of the nodes and weights of ninth to seventeenth
6751 : !chvd order Gauss-Markov quadrature formulae invariant under the
6752 : !chvd octahedron group with inversion"
6753 : !chvd Computational Mathematics and Mathematical Physics, Vol. 15, 1975, pp. 44-51. [[cite:Lebedev1975]]
6754 : !chvd
6755 0 : N=1
6756 0 : V=0.9735347946175486D-5
6757 0 : Call GEN_OH( 1, N, X(N), Y(N), Z(N), W(N), A, B, V)
6758 0 : V=0.1907581241803167D-3
6759 0 : Call GEN_OH( 2, N, X(N), Y(N), Z(N), W(N), A, B, V)
6760 0 : V=0.1901059546737578D-3
6761 0 : Call GEN_OH( 3, N, X(N), Y(N), Z(N), W(N), A, B, V)
6762 0 : A=0.1182361662400277D-1
6763 0 : V=0.3926424538919212D-4
6764 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6765 0 : A=0.3062145009138958D-1
6766 0 : V=0.6667905467294382D-4
6767 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6768 0 : A=0.5329794036834243D-1
6769 0 : V=0.8868891315019135D-4
6770 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6771 0 : A=0.7848165532862220D-1
6772 0 : V=0.1066306000958872D-3
6773 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6774 0 : A=0.1054038157636201D+0
6775 0 : V=0.1214506743336128D-3
6776 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6777 0 : A=0.1335577797766211D+0
6778 0 : V=0.1338054681640871D-3
6779 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6780 0 : A=0.1625769955502252D+0
6781 0 : V=0.1441677023628504D-3
6782 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6783 0 : A=0.1921787193412792D+0
6784 0 : V=0.1528880200826557D-3
6785 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6786 0 : A=0.2221340534690548D+0
6787 0 : V=0.1602330623773609D-3
6788 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6789 0 : A=0.2522504912791132D+0
6790 0 : V=0.1664102653445244D-3
6791 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6792 0 : A=0.2823610860679697D+0
6793 0 : V=0.1715845854011323D-3
6794 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6795 0 : A=0.3123173966267560D+0
6796 0 : V=0.1758901000133069D-3
6797 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6798 0 : A=0.3419847036953789D+0
6799 0 : V=0.1794382485256736D-3
6800 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6801 0 : A=0.3712386456999758D+0
6802 0 : V=0.1823238106757407D-3
6803 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6804 0 : A=0.3999627649876828D+0
6805 0 : V=0.1846293252959976D-3
6806 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6807 0 : A=0.4280466458648093D+0
6808 0 : V=0.1864284079323098D-3
6809 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6810 0 : A=0.4553844360185711D+0
6811 0 : V=0.1877882694626914D-3
6812 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6813 0 : A=0.4818736094437834D+0
6814 0 : V=0.1887716321852025D-3
6815 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6816 0 : A=0.5074138709260629D+0
6817 0 : V=0.1894381638175673D-3
6818 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6819 0 : A=0.5319061304570707D+0
6820 0 : V=0.1898454899533629D-3
6821 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6822 0 : A=0.5552514978677286D+0
6823 0 : V=0.1900497929577815D-3
6824 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6825 0 : A=0.5981009025246183D+0
6826 0 : V=0.1900671501924092D-3
6827 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6828 0 : A=0.6173990192228116D+0
6829 0 : V=0.1899837555533510D-3
6830 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6831 0 : A=0.6351365239411131D+0
6832 0 : V=0.1899014113156229D-3
6833 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6834 0 : A=0.6512010228227200D+0
6835 0 : V=0.1898581257705106D-3
6836 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6837 0 : A=0.6654758363948120D+0
6838 0 : V=0.1898804756095753D-3
6839 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6840 0 : A=0.6778410414853370D+0
6841 0 : V=0.1899793610426402D-3
6842 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6843 0 : A=0.6881760887484110D+0
6844 0 : V=0.1901464554844117D-3
6845 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6846 0 : A=0.6963645267094598D+0
6847 0 : V=0.1903533246259542D-3
6848 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6849 0 : A=0.7023010617153579D+0
6850 0 : V=0.1905556158463228D-3
6851 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6852 0 : A=0.7059004636628753D+0
6853 0 : V=0.1907037155663528D-3
6854 0 : Call GEN_OH( 4, N, X(N), Y(N), Z(N), W(N), A, B, V)
6855 0 : A=0.3552470312472575D-1
6856 0 : V=0.5992997844249967D-4
6857 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
6858 0 : A=0.9151176620841283D-1
6859 0 : V=0.9749059382456978D-4
6860 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
6861 0 : A=0.1566197930068980D+0
6862 0 : V=0.1241680804599158D-3
6863 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
6864 0 : A=0.2265467599271907D+0
6865 0 : V=0.1437626154299360D-3
6866 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
6867 0 : A=0.2988242318581361D+0
6868 0 : V=0.1584200054793902D-3
6869 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
6870 0 : A=0.3717482419703886D+0
6871 0 : V=0.1694436550982744D-3
6872 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
6873 0 : A=0.4440094491758889D+0
6874 0 : V=0.1776617014018108D-3
6875 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
6876 0 : A=0.5145337096756642D+0
6877 0 : V=0.1836132434440077D-3
6878 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
6879 0 : A=0.5824053672860230D+0
6880 0 : V=0.1876494727075983D-3
6881 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
6882 0 : A=0.6468283961043370D+0
6883 0 : V=0.1899906535336482D-3
6884 0 : Call GEN_OH( 5, N, X(N), Y(N), Z(N), W(N), A, B, V)
6885 0 : A=0.6095964259104373D-1
6886 0 : B=0.1787828275342931D-1
6887 0 : V=0.8143252820767350D-4
6888 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6889 0 : A=0.8811962270959388D-1
6890 0 : B=0.3953888740792096D-1
6891 0 : V=0.9998859890887728D-4
6892 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6893 0 : A=0.1165936722428831D+0
6894 0 : B=0.6378121797722990D-1
6895 0 : V=0.1156199403068359D-3
6896 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6897 0 : A=0.1460232857031785D+0
6898 0 : B=0.8985890813745037D-1
6899 0 : V=0.1287632092635513D-3
6900 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6901 0 : A=0.1761197110181755D+0
6902 0 : B=0.1172606510576162D+0
6903 0 : V=0.1398378643365139D-3
6904 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6905 0 : A=0.2066471190463718D+0
6906 0 : B=0.1456102876970995D+0
6907 0 : V=0.1491876468417391D-3
6908 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6909 0 : A=0.2374076026328152D+0
6910 0 : B=0.1746153823011775D+0
6911 0 : V=0.1570855679175456D-3
6912 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6913 0 : A=0.2682305474337051D+0
6914 0 : B=0.2040383070295584D+0
6915 0 : V=0.1637483948103775D-3
6916 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6917 0 : A=0.2989653312142369D+0
6918 0 : B=0.2336788634003698D+0
6919 0 : V=0.1693500566632843D-3
6920 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6921 0 : A=0.3294762752772209D+0
6922 0 : B=0.2633632752654219D+0
6923 0 : V=0.1740322769393633D-3
6924 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6925 0 : A=0.3596390887276086D+0
6926 0 : B=0.2929369098051601D+0
6927 0 : V=0.1779126637278296D-3
6928 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6929 0 : A=0.3893383046398812D+0
6930 0 : B=0.3222592785275512D+0
6931 0 : V=0.1810908108835412D-3
6932 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6933 0 : A=0.4184653789358347D+0
6934 0 : B=0.3512004791195743D+0
6935 0 : V=0.1836529132600190D-3
6936 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6937 0 : A=0.4469172319076166D+0
6938 0 : B=0.3796385677684537D+0
6939 0 : V=0.1856752841777379D-3
6940 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6941 0 : A=0.4745950813276976D+0
6942 0 : B=0.4074575378263879D+0
6943 0 : V=0.1872270566606832D-3
6944 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6945 0 : A=0.5014034601410262D+0
6946 0 : B=0.4345456906027828D+0
6947 0 : V=0.1883722645591307D-3
6948 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6949 0 : A=0.5272493404551239D+0
6950 0 : B=0.4607942515205134D+0
6951 0 : V=0.1891714324525297D-3
6952 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6953 0 : A=0.5520413051846366D+0
6954 0 : B=0.4860961284181720D+0
6955 0 : V=0.1896827480450146D-3
6956 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6957 0 : A=0.5756887237503077D+0
6958 0 : B=0.5103447395342790D+0
6959 0 : V=0.1899628417059528D-3
6960 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6961 0 : A=0.1225039430588352D+0
6962 0 : B=0.2136455922655793D-1
6963 0 : V=0.1123301829001669D-3
6964 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6965 0 : A=0.1539113217321372D+0
6966 0 : B=0.4520926166137188D-1
6967 0 : V=0.1253698826711277D-3
6968 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6969 0 : A=0.1856213098637712D+0
6970 0 : B=0.7086468177864818D-1
6971 0 : V=0.1366266117678531D-3
6972 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6973 0 : A=0.2174998728035131D+0
6974 0 : B=0.9785239488772918D-1
6975 0 : V=0.1462736856106918D-3
6976 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6977 0 : A=0.2494128336938330D+0
6978 0 : B=0.1258106396267210D+0
6979 0 : V=0.1545076466685412D-3
6980 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6981 0 : A=0.2812321562143480D+0
6982 0 : B=0.1544529125047001D+0
6983 0 : V=0.1615096280814007D-3
6984 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6985 0 : A=0.3128372276456111D+0
6986 0 : B=0.1835433512202753D+0
6987 0 : V=0.1674366639741759D-3
6988 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6989 0 : A=0.3441145160177973D+0
6990 0 : B=0.2128813258619585D+0
6991 0 : V=0.1724225002437900D-3
6992 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6993 0 : A=0.3749567714853510D+0
6994 0 : B=0.2422913734880829D+0
6995 0 : V=0.1765810822987288D-3
6996 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
6997 0 : A=0.4052621732015610D+0
6998 0 : B=0.2716163748391453D+0
6999 0 : V=0.1800104126010751D-3
7000 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7001 0 : A=0.4349335453522385D+0
7002 0 : B=0.3007127671240280D+0
7003 0 : V=0.1827960437331284D-3
7004 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7005 0 : A=0.4638776641524965D+0
7006 0 : B=0.3294470677216479D+0
7007 0 : V=0.1850140300716308D-3
7008 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7009 0 : A=0.4920046410462687D+0
7010 0 : B=0.3576932543699155D+0
7011 0 : V=0.1867333507394938D-3
7012 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7013 0 : A=0.5192273554861704D+0
7014 0 : B=0.3853307059757764D+0
7015 0 : V=0.1880178688638289D-3
7016 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7017 0 : A=0.5454609081136522D+0
7018 0 : B=0.4122425044452694D+0
7019 0 : V=0.1889278925654758D-3
7020 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7021 0 : A=0.5706220661424140D+0
7022 0 : B=0.4383139587781027D+0
7023 0 : V=0.1895213832507346D-3
7024 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7025 0 : A=0.5946286755181518D+0
7026 0 : B=0.4634312536300553D+0
7027 0 : V=0.1898548277397420D-3
7028 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7029 0 : A=0.1905370790924295D+0
7030 0 : B=0.2371311537781979D-1
7031 0 : V=0.1349105935937341D-3
7032 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7033 0 : A=0.2242518717748009D+0
7034 0 : B=0.4917878059254806D-1
7035 0 : V=0.1444060068369326D-3
7036 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7037 0 : A=0.2577190808025936D+0
7038 0 : B=0.7595498960495142D-1
7039 0 : V=0.1526797390930008D-3
7040 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7041 0 : A=0.2908724534927187D+0
7042 0 : B=0.1036991083191100D+0
7043 0 : V=0.1598208771406474D-3
7044 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7045 0 : A=0.3236354020056219D+0
7046 0 : B=0.1321348584450234D+0
7047 0 : V=0.1659354368615331D-3
7048 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7049 0 : A=0.3559267359304543D+0
7050 0 : B=0.1610316571314789D+0
7051 0 : V=0.1711279910946440D-3
7052 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7053 0 : A=0.3876637123676956D+0
7054 0 : B=0.1901912080395707D+0
7055 0 : V=0.1754952725601440D-3
7056 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7057 0 : A=0.4187636705218842D+0
7058 0 : B=0.2194384950137950D+0
7059 0 : V=0.1791247850802529D-3
7060 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7061 0 : A=0.4491449019883107D+0
7062 0 : B=0.2486155334763858D+0
7063 0 : V=0.1820954300877716D-3
7064 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7065 0 : A=0.4787270932425445D+0
7066 0 : B=0.2775768931812335D+0
7067 0 : V=0.1844788524548449D-3
7068 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7069 0 : A=0.5074315153055574D+0
7070 0 : B=0.3061863786591120D+0
7071 0 : V=0.1863409481706220D-3
7072 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7073 0 : A=0.5351810507738336D+0
7074 0 : B=0.3343144718152556D+0
7075 0 : V=0.1877433008795068D-3
7076 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7077 0 : A=0.5619001025975381D+0
7078 0 : B=0.3618362729028427D+0
7079 0 : V=0.1887444543705232D-3
7080 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7081 0 : A=0.5875144035268046D+0
7082 0 : B=0.3886297583620408D+0
7083 0 : V=0.1894009829375006D-3
7084 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7085 0 : A=0.6119507308734495D+0
7086 0 : B=0.4145742277792031D+0
7087 0 : V=0.1897683345035198D-3
7088 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7089 0 : A=0.2619733870119463D+0
7090 0 : B=0.2540047186389353D-1
7091 0 : V=0.1517327037467653D-3
7092 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7093 0 : A=0.2968149743237949D+0
7094 0 : B=0.5208107018543989D-1
7095 0 : V=0.1587740557483543D-3
7096 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7097 0 : A=0.3310451504860488D+0
7098 0 : B=0.7971828470885599D-1
7099 0 : V=0.1649093382274097D-3
7100 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7101 0 : A=0.3646215567376676D+0
7102 0 : B=0.1080465999177927D+0
7103 0 : V=0.1701915216193265D-3
7104 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7105 0 : A=0.3974916785279360D+0
7106 0 : B=0.1368413849366629D+0
7107 0 : V=0.1746847753144065D-3
7108 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7109 0 : A=0.4295967403772029D+0
7110 0 : B=0.1659073184763559D+0
7111 0 : V=0.1784555512007570D-3
7112 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7113 0 : A=0.4608742854473447D+0
7114 0 : B=0.1950703730454614D+0
7115 0 : V=0.1815687562112174D-3
7116 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7117 0 : A=0.4912598858949903D+0
7118 0 : B=0.2241721144376724D+0
7119 0 : V=0.1840864370663302D-3
7120 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7121 0 : A=0.5206882758945558D+0
7122 0 : B=0.2530655255406489D+0
7123 0 : V=0.1860676785390006D-3
7124 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7125 0 : A=0.5490940914019819D+0
7126 0 : B=0.2816118409731066D+0
7127 0 : V=0.1875690583743703D-3
7128 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7129 0 : A=0.5764123302025542D+0
7130 0 : B=0.3096780504593238D+0
7131 0 : V=0.1886453236347225D-3
7132 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7133 0 : A=0.6025786004213506D+0
7134 0 : B=0.3371348366394987D+0
7135 0 : V=0.1893501123329645D-3
7136 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7137 0 : A=0.6275291964794956D+0
7138 0 : B=0.3638547827694396D+0
7139 0 : V=0.1897366184519868D-3
7140 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7141 0 : A=0.3348189479861771D+0
7142 0 : B=0.2664841935537443D-1
7143 0 : V=0.1643908815152736D-3
7144 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7145 0 : A=0.3699515545855295D+0
7146 0 : B=0.5424000066843495D-1
7147 0 : V=0.1696300350907768D-3
7148 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7149 0 : A=0.4042003071474669D+0
7150 0 : B=0.8251992715430854D-1
7151 0 : V=0.1741553103844483D-3
7152 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7153 0 : A=0.4375320100182624D+0
7154 0 : B=0.1112695182483710D+0
7155 0 : V=0.1780015282386092D-3
7156 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7157 0 : A=0.4699054490335947D+0
7158 0 : B=0.1402964116467816D+0
7159 0 : V=0.1812116787077125D-3
7160 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7161 0 : A=0.5012739879431952D+0
7162 0 : B=0.1694275117584291D+0
7163 0 : V=0.1838323158085421D-3
7164 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7165 0 : A=0.5315874883754966D+0
7166 0 : B=0.1985038235312689D+0
7167 0 : V=0.1859113119837737D-3
7168 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7169 0 : A=0.5607937109622117D+0
7170 0 : B=0.2273765660020893D+0
7171 0 : V=0.1874969220221698D-3
7172 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7173 0 : A=0.5888393223495521D+0
7174 0 : B=0.2559041492849764D+0
7175 0 : V=0.1886375612681076D-3
7176 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7177 0 : A=0.6156705979160163D+0
7178 0 : B=0.2839497251976899D+0
7179 0 : V=0.1893819575809276D-3
7180 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7181 0 : A=0.6412338809078123D+0
7182 0 : B=0.3113791060500690D+0
7183 0 : V=0.1897794748256767D-3
7184 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7185 0 : A=0.4076051259257167D+0
7186 0 : B=0.2757792290858463D-1
7187 0 : V=0.1738963926584846D-3
7188 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7189 0 : A=0.4423788125791520D+0
7190 0 : B=0.5584136834984293D-1
7191 0 : V=0.1777442359873466D-3
7192 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7193 0 : A=0.4760480917328258D+0
7194 0 : B=0.8457772087727143D-1
7195 0 : V=0.1810010815068719D-3
7196 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7197 0 : A=0.5085838725946297D+0
7198 0 : B=0.1135975846359248D+0
7199 0 : V=0.1836920318248129D-3
7200 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7201 0 : A=0.5399513637391218D+0
7202 0 : B=0.1427286904765053D+0
7203 0 : V=0.1858489473214328D-3
7204 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7205 0 : A=0.5701118433636380D+0
7206 0 : B=0.1718112740057635D+0
7207 0 : V=0.1875079342496592D-3
7208 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7209 0 : A=0.5990240530606021D+0
7210 0 : B=0.2006944855985351D+0
7211 0 : V=0.1887080239102310D-3
7212 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7213 0 : A=0.6266452685139695D+0
7214 0 : B=0.2292335090598907D+0
7215 0 : V=0.1894905752176822D-3
7216 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7217 0 : A=0.6529320971415942D+0
7218 0 : B=0.2572871512353714D+0
7219 0 : V=0.1898991061200695D-3
7220 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7221 0 : A=0.4791583834610126D+0
7222 0 : B=0.2826094197735932D-1
7223 0 : V=0.1809065016458791D-3
7224 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7225 0 : A=0.5130373952796940D+0
7226 0 : B=0.5699871359683649D-1
7227 0 : V=0.1836297121596799D-3
7228 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7229 0 : A=0.5456252429628476D+0
7230 0 : B=0.8602712528554394D-1
7231 0 : V=0.1858426916241869D-3
7232 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7233 0 : A=0.5768956329682385D+0
7234 0 : B=0.1151748137221281D+0
7235 0 : V=0.1875654101134641D-3
7236 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7237 0 : A=0.6068186944699046D+0
7238 0 : B=0.1442811654136362D+0
7239 0 : V=0.1888240751833503D-3
7240 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7241 0 : A=0.6353622248024907D+0
7242 0 : B=0.1731930321657680D+0
7243 0 : V=0.1896497383866979D-3
7244 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7245 0 : A=0.6624927035731797D+0
7246 0 : B=0.2017619958756061D+0
7247 0 : V=0.1900775530219121D-3
7248 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7249 0 : A=0.5484933508028488D+0
7250 0 : B=0.2874219755907391D-1
7251 0 : V=0.1858525041478814D-3
7252 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7253 0 : A=0.5810207682142106D+0
7254 0 : B=0.5778312123713695D-1
7255 0 : V=0.1876248690077947D-3
7256 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7257 0 : A=0.6120955197181352D+0
7258 0 : B=0.8695262371439526D-1
7259 0 : V=0.1889404439064607D-3
7260 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7261 0 : A=0.6416944284294319D+0
7262 0 : B=0.1160893767057166D+0
7263 0 : V=0.1898168539265290D-3
7264 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7265 0 : A=0.6697926391731260D+0
7266 0 : B=0.1450378826743251D+0
7267 0 : V=0.1902779940661772D-3
7268 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7269 0 : A=0.6147594390585488D+0
7270 0 : B=0.2904957622341456D-1
7271 0 : V=0.1890125641731815D-3
7272 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7273 0 : A=0.6455390026356783D+0
7274 0 : B=0.5823809152617197D-1
7275 0 : V=0.1899434637795751D-3
7276 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7277 0 : A=0.6747258588365477D+0
7278 0 : B=0.8740384899884715D-1
7279 0 : V=0.1904520856831751D-3
7280 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7281 0 : A=0.6772135750395347D+0
7282 0 : B=0.2919946135808105D-1
7283 0 : V=0.1905534498734563D-3
7284 0 : Call GEN_OH( 6, N, X(N), Y(N), Z(N), W(N), A, B, V)
7285 0 : N=N-1
7286 0 : end subroutine LD5810
7287 : !!***
7288 :
7289 12 : END MODULE m_lebedev
7290 : !!***
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