erfa/prenut/
nut00a.rs

1// This Source Code Form is subject to the terms of the Mozilla Public
2// License, v. 2.0. If a copy of the MPL was not distributed with this
3// file, You can obtain one at http://mozilla.org/MPL/2.0/.
4
5use crate::{
6    constants::*,
7    fundamental_argument::{e03, f03, ju03, l03, ma03, me03, om03, pa03, sa03, ur03, ve03},
8};
9
10/// Nutation, IAU 2000A model (MHB2000 luni-solar and planetary nutation with
11/// free core nutation omitted). (`eraNut00a`)
12///
13/// Given:
14///  * `date1`,`date2`: TT as a 2-part Julian Date (Note 1)
15///
16/// Returned:
17///  * `dpsi`,`deps`: nutation, luni-solar + planetary (Note 2)
18///
19/// # Notes:
20///
21/// 1) The TT date `date1+date2` is a Julian Date, apportioned in any convenient
22///    way between the two arguments.  For example, `JD(TT)=2450123.7` could be
23///    expressed in any of these ways, among others:
24///
25///    | `date1`   | `date2` |                    |
26///    |-----------|---------|--------------------|
27///    | 2450123.7 |     0.0 | JD method          |
28///    | 2451545.0 | -1421.3 | J2000 method       |
29///    | 2400000.5 | 50123.2 | MJD method         |
30///    | 2450123.5 |     0.2 | date & time method |
31///
32///    The JD method is the most natural and convenient to use in cases where
33///    the loss of several decimal digits of resolution is acceptable.  The
34///    J2000 method is best matched to the way the argument is handled
35///    internally and will deliver the optimum resolution.  The MJD method and
36///    the date & time methods are both good compromises between resolution and
37///    convenience.
38///
39/// 2) The nutation components in longitude and obliquity are in radians and
40///    with respect to the equinox and ecliptic of date.  The obliquity at
41///    J2000.0 is assumed to be the Lieske et al. (1977) value of 84381.448
42///    arcsec.
43///
44///    Both the luni-solar and planetary nutations are included.  The latter are
45///    due to direct planetary nutations and the perturbations of the lunar and
46///    terrestrial orbits.
47///
48/// 3) The function computes the MHB2000 nutation series with the associated
49///    corrections for planetary nutations.  It is an implementation of the
50///    nutation part of the IAU 2000A precession- nutation model, formally
51///    adopted by the IAU General Assembly in 2000, namely MHB2000 (Mathews et
52///    al. 2002), but with the free core nutation (FCN - see Note 4) omitted.
53///
54/// 4) The full MHB2000 model also contains contributions to the nutations in
55///    longitude and obliquity due to the free-excitation of the
56///    free-core-nutation during the period 1979-2000.  These FCN terms, which
57///    are time-dependent and unpredictable, are NOT included in the present
58///    function and, if required, must be independently computed.  With the FCN
59///    corrections included, the present function delivers a pole which is at
60///    current epochs accurate to a few hundred microarcseconds.  The omission
61///    of FCN introduces further errors of about that size.
62///
63/// 5) The present function provides classical nutation.  The MHB2000 algorithm,
64///    from which it is adapted, deals also with (i) the offsets between the
65///    GCRS and mean poles and (ii) the adjustments in longitude and obliquity
66///    due to the changed precession rates. These additional functions, namely
67///    frame bias and precession adjustments, are supported by the ERFA
68///    functions eraBi00  and eraPr00.
69///
70/// 6) The MHB2000 algorithm also provides "total" nutations, comprising the
71///    arithmetic sum of the frame bias, precession adjustments, luni-solar
72///    nutation and planetary nutation.  These total nutations can be used in
73///    combination with an existing IAU 1976 precession implementation, such as
74///    eraPmat76,  to deliver GCRS- to-true predictions of sub-mas accuracy at
75///    current dates. However, there are three shortcomings in the MHB2000 model
76///    that must be taken into account if more accurate or definitive results
77///    are required (see Wallace 2002):
78///
79///      (i) The MHB2000 total nutations are simply arithmetic sums, yet in
80///          reality the various components are successive Euler rotations. This
81///          slight lack of rigor leads to cross terms that exceed 1 mas after a
82///          century.  The rigorous procedure is to form the GCRS-to-true
83///          rotation matrix by applying the bias, precession and nutation in
84///          that order.
85///
86///     (ii) Although the precession adjustments are stated to be with respect
87///          to Lieske et al. (1977), the MHB2000 model does not specify which
88///          set of Euler angles are to be used and how the adjustments are to
89///          be applied.  The most literal and straightforward procedure is to
90///          adopt the 4-rotation epsilon_0, psi_A, omega_A, xi_A option, and to
91///          add DPSIPR to psi_A and DEPSPR to both omega_A and eps_A.
92///
93///    (iii) The MHB2000 model predates the determination by Chapront et al.
94///          (2002) of a 14.6 mas displacement between the J2000.0 mean equinox
95///          and the origin of the ICRS frame.  It should, however, be noted
96///          that neglecting this displacement when calculating star coordinates
97///          does not lead to a 14.6 mas change in right ascension, only a small
98///          second- order distortion in the pattern of the precession-nutation
99///          effect.
100///
101///    For these reasons, the ERFA functions do not generate the "total
102///    nutations" directly, though they can of course easily be generated by
103///    calling eraBi00, eraPr00 and the present function and adding the results.
104///
105/// 7) The MHB2000 model contains 41 instances where the same frequency appears
106///    multiple times, of which 38 are duplicates and three are triplicates.  To
107///    keep the present code close to the original MHB algorithm, this small
108///    inefficiency has not been corrected.
109///
110/// # References:
111///
112/// * Chapront, J., Chapront-Touze, M. & Francou, G. 2002, Astron.Astrophys.
113///   387, 700
114///
115/// * Lieske, J.H., Lederle, T., Fricke, W. & Morando, B. 1977,
116///   Astron.Astrophys. 58, 1-16
117///
118/// * Mathews, P.M., Herring, T.A., Buffet, B.A. 2002, J.Geophys.Res. 107, B4.
119///   The MHB_2000 code itself was obtained on 9th September 2002 from
120///   <ftp://maia.usno.navy.mil/conv2000/chapter5/IAU2000A>.
121///
122/// * Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M., Francou,
123///   G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683
124///
125/// * Souchay, J., Loysel, B., Kinoshita, H., Folgueira, M. 1999,
126///   Astron.Astrophys.Supp.Ser. 135, 111
127///
128/// * Wallace, P.T., "Software for Implementing the IAU 2000 Resolutions", in
129///   IERS Workshop 5.1 (2002)
130///
131pub fn nut00a(date1: f64, date2: f64) -> (f64, f64) {
132    /* Units of 0.1 microarcsecond to radians */
133    const U2R: f64 = ERFA_DAS2R / 1e7;
134
135    /* ------------------------- */
136    /* Luni-Solar nutation model */
137    /* ------------------------- */
138
139    /* Interval between fundamental date J2000.0 and given date (JC). */
140    let t = ((date1 - ERFA_DJ00) + date2) / ERFA_DJC;
141
142    /* ------------------- */
143    /* LUNI-SOLAR NUTATION */
144    /* ------------------- */
145
146    /* Fundamental (Delaunay) arguments */
147
148    /* Mean anomaly of the Moon (IERS 2003). */
149    let el = l03(t);
150
151    /* Mean anomaly of the Sun (MHB2000). */
152    #[rustfmt::skip]
153  let elp = (1287104.79305  +
154           t * (129596581.0481  +
155           t * (-0.5532  +
156           t * (0.000136  +
157           t * (-0.00001149)))) % ERFA_TURNAS) * ERFA_DAS2R;
158
159    /* Mean longitude of the Moon minus that of the ascending node */
160    /* (IERS 2003. */
161    let f = f03(t);
162
163    /* Mean elongation of the Moon from the Sun (MHB2000). */
164    #[rustfmt::skip]
165  let d = (1072260.70369  +
166         t * (1602961601.2090  +
167         t * (-6.3706  +
168         t * (0.006593  +
169         t * (-0.00003169)))) % ERFA_TURNAS) * ERFA_DAS2R;
170
171    /* Mean longitude of the ascending node of the Moon (IERS 2003). */
172    let om = om03(t);
173
174    /* Initialize the nutation values. */
175    let mut dp = 0.0;
176    let mut de = 0.0;
177
178    /* Summation of luni-solar nutation series (in reverse order). */
179    for xls in XLS.iter().rev() {
180        /* Argument and functions. */
181        let arg = (xls.nl as f64 * el
182            + xls.nlp as f64 * elp
183            + xls.nf as f64 * f
184            + xls.nd as f64 * d
185            + xls.nom as f64 * om)
186            % ERFA_D2PI;
187        let (sarg, carg) = arg.sin_cos();
188
189        /* Term. */
190        dp += (xls.sp + xls.spt * t) * sarg + xls.cp * carg;
191        de += (xls.ce + xls.cet * t) * carg + xls.se * sarg;
192    }
193
194    /* Convert from 0.1 microarcsec units to radians. */
195    let dpsils = dp * U2R;
196    let depsls = de * U2R;
197
198    /* ------------------ */
199    /* PLANETARY NUTATION */
200    /* ------------------ */
201
202    /* n.b.  The MHB2000 code computes the luni-solar and planetary nutation */
203    /* in different functions, using slightly different Delaunay */
204    /* arguments in the two cases.  This behaviour is faithfully */
205    /* reproduced here.  Use of the IERS 2003 expressions for both */
206    /* cases leads to negligible changes, well below */
207    /* 0.1 microarcsecond. */
208
209    /* Mean anomaly of the Moon (MHB2000). */
210    let al = (2.35555598 + 8328.6914269554 * t) % ERFA_D2PI;
211
212    /* Mean longitude of the Moon minus that of the ascending node */
213    /*(MHB2000). */
214    let af = (1.627905234 + 8433.466158131 * t) % ERFA_D2PI;
215
216    /* Mean elongation of the Moon from the Sun (MHB2000). */
217    let ad = (5.198466741 + 7771.3771468121 * t) % ERFA_D2PI;
218
219    /* Mean longitude of the ascending node of the Moon (MHB2000). */
220    let aom = (2.18243920 - 33.757045 * t) % ERFA_D2PI;
221
222    /* General accumulated precession in longitude (IERS 2003). */
223    let apa = pa03(t);
224
225    /* Planetary longitudes, Mercury through Uranus (IERS 2003). */
226    let alme = me03(t);
227    let alve = ve03(t);
228    let alea = e03(t);
229    let alma = ma03(t);
230    let alju = ju03(t);
231    let alsa = sa03(t);
232    let alur = ur03(t);
233
234    /* Neptune longitude (MHB2000). */
235    let alne = (5.321159000 + 3.8127774000 * t) % ERFA_D2PI;
236
237    /* Initialize the nutation values. */
238    let mut dp = 0.0;
239    let mut de = 0.0;
240
241    /* Summation of planetary nutation series (in reverse order). */
242    for xpl in XPL.iter().rev() {
243        /* Argument and functions. */
244        let arg = (xpl.nl as f64 * al
245            + xpl.nf as f64 * af
246            + xpl.nd as f64 * ad
247            + xpl.nom as f64 * aom
248            + xpl.nme as f64 * alme
249            + xpl.nve as f64 * alve
250            + xpl.nea as f64 * alea
251            + xpl.nma as f64 * alma
252            + xpl.nju as f64 * alju
253            + xpl.nsa as f64 * alsa
254            + xpl.nur as f64 * alur
255            + xpl.nne as f64 * alne
256            + xpl.npa as f64 * apa)
257            % ERFA_D2PI;
258        let (sarg, carg) = arg.sin_cos();
259
260        /* Term. */
261        dp += xpl.sp as f64 * sarg + xpl.cp as f64 * carg;
262        de += xpl.se as f64 * sarg + xpl.ce as f64 * carg;
263    }
264
265    /* Convert from 0.1 microarcsec units to radians. */
266    let dpsipl = dp * U2R;
267    let depspl = de * U2R;
268
269    /* ------- */
270    /* RESULTS */
271    /* ------- */
272
273    /* Add luni-solar and planetary components. */
274    let dpsi = dpsils + dpsipl;
275    let deps = depsls + depspl;
276
277    (dpsi, deps)
278}
279
280struct Xls {
281    nl: i32,
282    nlp: i32,
283    nf: i32,
284    nd: i32,
285    nom: i32,
286    sp: f64,
287    spt: f64,
288    cp: f64,
289    ce: f64,
290    cet: f64,
291    se: f64,
292}
293const XLS: [Xls; 678] = [
294    Xls {
295        nl: 0,
296        nlp: 0,
297        nf: 0,
298        nd: 0,
299        nom: 1,
300        sp: -172064161.0,
301        spt: -174666.0,
302        cp: 33386.0,
303        ce: 92052331.0,
304        cet: 9086.0,
305        se: 15377.0,
306    },
307    Xls {
308        nl: 0,
309        nlp: 0,
310        nf: 2,
311        nd: -2,
312        nom: 2,
313        sp: -13170906.0,
314        spt: -1675.0,
315        cp: -13696.0,
316        ce: 5730336.0,
317        cet: -3015.0,
318        se: -4587.0,
319    },
320    Xls {
321        nl: 0,
322        nlp: 0,
323        nf: 2,
324        nd: 0,
325        nom: 2,
326        sp: -2276413.0,
327        spt: -234.0,
328        cp: 2796.0,
329        ce: 978459.0,
330        cet: -485.0,
331        se: 1374.0,
332    },
333    Xls {
334        nl: 0,
335        nlp: 0,
336        nf: 0,
337        nd: 0,
338        nom: 2,
339        sp: 2074554.0,
340        spt: 207.0,
341        cp: -698.0,
342        ce: -897492.0,
343        cet: 470.0,
344        se: -291.0,
345    },
346    Xls {
347        nl: 0,
348        nlp: 1,
349        nf: 0,
350        nd: 0,
351        nom: 0,
352        sp: 1475877.0,
353        spt: -3633.0,
354        cp: 11817.0,
355        ce: 73871.0,
356        cet: -184.0,
357        se: -1924.0,
358    },
359    Xls {
360        nl: 0,
361        nlp: 1,
362        nf: 2,
363        nd: -2,
364        nom: 2,
365        sp: -516821.0,
366        spt: 1226.0,
367        cp: -524.0,
368        ce: 224386.0,
369        cet: -677.0,
370        se: -174.0,
371    },
372    Xls {
373        nl: 1,
374        nlp: 0,
375        nf: 0,
376        nd: 0,
377        nom: 0,
378        sp: 711159.0,
379        spt: 73.0,
380        cp: -872.0,
381        ce: -6750.0,
382        cet: 0.0,
383        se: 358.0,
384    },
385    Xls {
386        nl: 0,
387        nlp: 0,
388        nf: 2,
389        nd: 0,
390        nom: 1,
391        sp: -387298.0,
392        spt: -367.0,
393        cp: 380.0,
394        ce: 200728.0,
395        cet: 18.0,
396        se: 318.0,
397    },
398    Xls {
399        nl: 1,
400        nlp: 0,
401        nf: 2,
402        nd: 0,
403        nom: 2,
404        sp: -301461.0,
405        spt: -36.0,
406        cp: 816.0,
407        ce: 129025.0,
408        cet: -63.0,
409        se: 367.0,
410    },
411    Xls {
412        nl: 0,
413        nlp: -1,
414        nf: 2,
415        nd: -2,
416        nom: 2,
417        sp: 215829.0,
418        spt: -494.0,
419        cp: 111.0,
420        ce: -95929.0,
421        cet: 299.0,
422        se: 132.0,
423    },
424    Xls {
425        nl: 0,
426        nlp: 0,
427        nf: 2,
428        nd: -2,
429        nom: 1,
430        sp: 128227.0,
431        spt: 137.0,
432        cp: 181.0,
433        ce: -68982.0,
434        cet: -9.0,
435        se: 39.0,
436    },
437    Xls {
438        nl: -1,
439        nlp: 0,
440        nf: 2,
441        nd: 0,
442        nom: 2,
443        sp: 123457.0,
444        spt: 11.0,
445        cp: 19.0,
446        ce: -53311.0,
447        cet: 32.0,
448        se: -4.0,
449    },
450    Xls {
451        nl: -1,
452        nlp: 0,
453        nf: 0,
454        nd: 2,
455        nom: 0,
456        sp: 156994.0,
457        spt: 10.0,
458        cp: -168.0,
459        ce: -1235.0,
460        cet: 0.0,
461        se: 82.0,
462    },
463    Xls {
464        nl: 1,
465        nlp: 0,
466        nf: 0,
467        nd: 0,
468        nom: 1,
469        sp: 63110.0,
470        spt: 63.0,
471        cp: 27.0,
472        ce: -33228.0,
473        cet: 0.0,
474        se: -9.0,
475    },
476    Xls {
477        nl: -1,
478        nlp: 0,
479        nf: 0,
480        nd: 0,
481        nom: 1,
482        sp: -57976.0,
483        spt: -63.0,
484        cp: -189.0,
485        ce: 31429.0,
486        cet: 0.0,
487        se: -75.0,
488    },
489    Xls {
490        nl: -1,
491        nlp: 0,
492        nf: 2,
493        nd: 2,
494        nom: 2,
495        sp: -59641.0,
496        spt: -11.0,
497        cp: 149.0,
498        ce: 25543.0,
499        cet: -11.0,
500        se: 66.0,
501    },
502    Xls {
503        nl: 1,
504        nlp: 0,
505        nf: 2,
506        nd: 0,
507        nom: 1,
508        sp: -51613.0,
509        spt: -42.0,
510        cp: 129.0,
511        ce: 26366.0,
512        cet: 0.0,
513        se: 78.0,
514    },
515    Xls {
516        nl: -2,
517        nlp: 0,
518        nf: 2,
519        nd: 0,
520        nom: 1,
521        sp: 45893.0,
522        spt: 50.0,
523        cp: 31.0,
524        ce: -24236.0,
525        cet: -10.0,
526        se: 20.0,
527    },
528    Xls {
529        nl: 0,
530        nlp: 0,
531        nf: 0,
532        nd: 2,
533        nom: 0,
534        sp: 63384.0,
535        spt: 11.0,
536        cp: -150.0,
537        ce: -1220.0,
538        cet: 0.0,
539        se: 29.0,
540    },
541    Xls {
542        nl: 0,
543        nlp: 0,
544        nf: 2,
545        nd: 2,
546        nom: 2,
547        sp: -38571.0,
548        spt: -1.0,
549        cp: 158.0,
550        ce: 16452.0,
551        cet: -11.0,
552        se: 68.0,
553    },
554    Xls {
555        nl: 0,
556        nlp: -2,
557        nf: 2,
558        nd: -2,
559        nom: 2,
560        sp: 32481.0,
561        spt: 0.0,
562        cp: 0.0,
563        ce: -13870.0,
564        cet: 0.0,
565        se: 0.0,
566    },
567    Xls {
568        nl: -2,
569        nlp: 0,
570        nf: 0,
571        nd: 2,
572        nom: 0,
573        sp: -47722.0,
574        spt: 0.0,
575        cp: -18.0,
576        ce: 477.0,
577        cet: 0.0,
578        se: -25.0,
579    },
580    Xls {
581        nl: 2,
582        nlp: 0,
583        nf: 2,
584        nd: 0,
585        nom: 2,
586        sp: -31046.0,
587        spt: -1.0,
588        cp: 131.0,
589        ce: 13238.0,
590        cet: -11.0,
591        se: 59.0,
592    },
593    Xls {
594        nl: 1,
595        nlp: 0,
596        nf: 2,
597        nd: -2,
598        nom: 2,
599        sp: 28593.0,
600        spt: 0.0,
601        cp: -1.0,
602        ce: -12338.0,
603        cet: 10.0,
604        se: -3.0,
605    },
606    Xls {
607        nl: -1,
608        nlp: 0,
609        nf: 2,
610        nd: 0,
611        nom: 1,
612        sp: 20441.0,
613        spt: 21.0,
614        cp: 10.0,
615        ce: -10758.0,
616        cet: 0.0,
617        se: -3.0,
618    },
619    Xls {
620        nl: 2,
621        nlp: 0,
622        nf: 0,
623        nd: 0,
624        nom: 0,
625        sp: 29243.0,
626        spt: 0.0,
627        cp: -74.0,
628        ce: -609.0,
629        cet: 0.0,
630        se: 13.0,
631    },
632    Xls {
633        nl: 0,
634        nlp: 0,
635        nf: 2,
636        nd: 0,
637        nom: 0,
638        sp: 25887.0,
639        spt: 0.0,
640        cp: -66.0,
641        ce: -550.0,
642        cet: 0.0,
643        se: 11.0,
644    },
645    Xls {
646        nl: 0,
647        nlp: 1,
648        nf: 0,
649        nd: 0,
650        nom: 1,
651        sp: -14053.0,
652        spt: -25.0,
653        cp: 79.0,
654        ce: 8551.0,
655        cet: -2.0,
656        se: -45.0,
657    },
658    Xls {
659        nl: -1,
660        nlp: 0,
661        nf: 0,
662        nd: 2,
663        nom: 1,
664        sp: 15164.0,
665        spt: 10.0,
666        cp: 11.0,
667        ce: -8001.0,
668        cet: 0.0,
669        se: -1.0,
670    },
671    Xls {
672        nl: 0,
673        nlp: 2,
674        nf: 2,
675        nd: -2,
676        nom: 2,
677        sp: -15794.0,
678        spt: 72.0,
679        cp: -16.0,
680        ce: 6850.0,
681        cet: -42.0,
682        se: -5.0,
683    },
684    Xls {
685        nl: 0,
686        nlp: 0,
687        nf: -2,
688        nd: 2,
689        nom: 0,
690        sp: 21783.0,
691        spt: 0.0,
692        cp: 13.0,
693        ce: -167.0,
694        cet: 0.0,
695        se: 13.0,
696    },
697    Xls {
698        nl: 1,
699        nlp: 0,
700        nf: 0,
701        nd: -2,
702        nom: 1,
703        sp: -12873.0,
704        spt: -10.0,
705        cp: -37.0,
706        ce: 6953.0,
707        cet: 0.0,
708        se: -14.0,
709    },
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8891        nd: 4,
8892        nom: 0,
8893        sp: 7.0,
8894        spt: 0.0,
8895        cp: 0.0,
8896        ce: 0.0,
8897        cet: 0.0,
8898        se: 0.0,
8899    },
8900    Xls {
8901        nl: 1,
8902        nlp: 0,
8903        nf: 2,
8904        nd: 3,
8905        nom: 2,
8906        sp: 7.0,
8907        spt: 0.0,
8908        cp: 0.0,
8909        ce: -3.0,
8910        cet: 0.0,
8911        se: 0.0,
8912    },
8913    Xls {
8914        nl: 4,
8915        nlp: 0,
8916        nf: 0,
8917        nd: 2,
8918        nom: 0,
8919        sp: 4.0,
8920        spt: 0.0,
8921        cp: 0.0,
8922        ce: 0.0,
8923        cet: 0.0,
8924        se: 0.0,
8925    },
8926    Xls {
8927        nl: 2,
8928        nlp: 0,
8929        nf: 2,
8930        nd: 2,
8931        nom: 0,
8932        sp: 11.0,
8933        spt: 0.0,
8934        cp: 0.0,
8935        ce: 0.0,
8936        cet: 0.0,
8937        se: 0.0,
8938    },
8939    Xls {
8940        nl: 0,
8941        nlp: 0,
8942        nf: 4,
8943        nd: 2,
8944        nom: 2,
8945        sp: 5.0,
8946        spt: 0.0,
8947        cp: 0.0,
8948        ce: -2.0,
8949        cet: 0.0,
8950        se: 0.0,
8951    },
8952    Xls {
8953        nl: 4,
8954        nlp: -1,
8955        nf: 2,
8956        nd: 0,
8957        nom: 2,
8958        sp: -6.0,
8959        spt: 0.0,
8960        cp: 0.0,
8961        ce: 2.0,
8962        cet: 0.0,
8963        se: 0.0,
8964    },
8965    Xls {
8966        nl: 3,
8967        nlp: 0,
8968        nf: 2,
8969        nd: 1,
8970        nom: 2,
8971        sp: 4.0,
8972        spt: 0.0,
8973        cp: 0.0,
8974        ce: -2.0,
8975        cet: 0.0,
8976        se: 0.0,
8977    },
8978    Xls {
8979        nl: 2,
8980        nlp: 1,
8981        nf: 2,
8982        nd: 2,
8983        nom: 1,
8984        sp: 3.0,
8985        spt: 0.0,
8986        cp: 0.0,
8987        ce: -2.0,
8988        cet: 0.0,
8989        se: 0.0,
8990    },
8991    Xls {
8992        nl: 4,
8993        nlp: 1,
8994        nf: 2,
8995        nd: 0,
8996        nom: 2,
8997        sp: 5.0,
8998        spt: 0.0,
8999        cp: 0.0,
9000        ce: -2.0,
9001        cet: 0.0,
9002        se: 0.0,
9003    },
9004    Xls {
9005        nl: -1,
9006        nlp: -1,
9007        nf: 2,
9008        nd: 6,
9009        nom: 2,
9010        sp: -4.0,
9011        spt: 0.0,
9012        cp: 0.0,
9013        ce: 2.0,
9014        cet: 0.0,
9015        se: 0.0,
9016    },
9017    Xls {
9018        nl: -1,
9019        nlp: 0,
9020        nf: 2,
9021        nd: 6,
9022        nom: 1,
9023        sp: -4.0,
9024        spt: 0.0,
9025        cp: 0.0,
9026        ce: 2.0,
9027        cet: 0.0,
9028        se: 0.0,
9029    },
9030    Xls {
9031        nl: 1,
9032        nlp: -1,
9033        nf: 2,
9034        nd: 4,
9035        nom: 1,
9036        sp: -3.0,
9037        spt: 0.0,
9038        cp: 0.0,
9039        ce: 2.0,
9040        cet: 0.0,
9041        se: 0.0,
9042    },
9043    Xls {
9044        nl: 1,
9045        nlp: 1,
9046        nf: 2,
9047        nd: 4,
9048        nom: 2,
9049        sp: 4.0,
9050        spt: 0.0,
9051        cp: 0.0,
9052        ce: -2.0,
9053        cet: 0.0,
9054        se: 0.0,
9055    },
9056    Xls {
9057        nl: 3,
9058        nlp: 1,
9059        nf: 2,
9060        nd: 2,
9061        nom: 2,
9062        sp: 3.0,
9063        spt: 0.0,
9064        cp: 0.0,
9065        ce: -1.0,
9066        cet: 0.0,
9067        se: 0.0,
9068    },
9069    Xls {
9070        nl: 5,
9071        nlp: 0,
9072        nf: 2,
9073        nd: 0,
9074        nom: 1,
9075        sp: -3.0,
9076        spt: 0.0,
9077        cp: 0.0,
9078        ce: 1.0,
9079        cet: 0.0,
9080        se: 0.0,
9081    },
9082    Xls {
9083        nl: 2,
9084        nlp: -1,
9085        nf: 2,
9086        nd: 4,
9087        nom: 2,
9088        sp: -3.0,
9089        spt: 0.0,
9090        cp: 0.0,
9091        ce: 1.0,
9092        cet: 0.0,
9093        se: 0.0,
9094    },
9095    Xls {
9096        nl: 2,
9097        nlp: 0,
9098        nf: 2,
9099        nd: 4,
9100        nom: 1,
9101        sp: -3.0,
9102        spt: 0.0,
9103        cp: 0.0,
9104        ce: 2.0,
9105        cet: 0.0,
9106        se: 0.0,
9107    },
9108];
9109
9110struct Xpl {
9111    nl: i32,
9112    nf: i32,
9113    nd: i32,
9114    nom: i32,
9115    nme: i32,
9116    nve: i32,
9117    nea: i32,
9118    nma: i32,
9119    nju: i32,
9120    nsa: i32,
9121    nur: i32,
9122    nne: i32,
9123    npa: i32,
9124    sp: i32,
9125    cp: i32,
9126    se: i32,
9127    ce: i32,
9128}
9129
9130const XPL: [Xpl; 687] = [
9131    Xpl {
9132        nl: 0,
9133        nf: 0,
9134        nd: 0,
9135        nom: 0,
9136        nme: 0,
9137        nve: 0,
9138        nea: 8,
9139        nma: -16,
9140        nju: 4,
9141        nsa: 5,
9142        nur: 0,
9143        nne: 0,
9144        npa: 0,
9145        sp: 1440,
9146        cp: 0,
9147        se: 0,
9148        ce: 0,
9149    },
9150    Xpl {
9151        nl: 0,
9152        nf: 0,
9153        nd: 0,
9154        nom: 0,
9155        nme: 0,
9156        nve: 0,
9157        nea: -8,
9158        nma: 16,
9159        nju: -4,
9160        nsa: -5,
9161        nur: 0,
9162        nne: 0,
9163        npa: 2,
9164        sp: 56,
9165        cp: -117,
9166        se: -42,
9167        ce: -40,
9168    },
9169    Xpl {
9170        nl: 0,
9171        nf: 0,
9172        nd: 0,
9173        nom: 0,
9174        nme: 0,
9175        nve: 0,
9176        nea: 8,
9177        nma: -16,
9178        nju: 4,
9179        nsa: 5,
9180        nur: 0,
9181        nne: 0,
9182        npa: 2,
9183        sp: 125,
9184        cp: -43,
9185        se: 0,
9186        ce: -54,
9187    },
9188    Xpl {
9189        nl: 0,
9190        nf: 0,
9191        nd: 0,
9192        nom: 0,
9193        nme: 0,
9194        nve: 0,
9195        nea: 0,
9196        nma: 0,
9197        nju: 0,
9198        nsa: 0,
9199        nur: -1,
9200        nne: 2,
9201        npa: 2,
9202        sp: 0,
9203        cp: 5,
9204        se: 0,
9205        ce: 0,
9206    },
9207    Xpl {
9208        nl: 0,
9209        nf: 0,
9210        nd: 0,
9211        nom: 0,
9212        nme: 0,
9213        nve: 0,
9214        nea: -4,
9215        nma: 8,
9216        nju: -1,
9217        nsa: -5,
9218        nur: 0,
9219        nne: 0,
9220        npa: 2,
9221        sp: 3,
9222        cp: -7,
9223        se: -3,
9224        ce: 0,
9225    },
9226    Xpl {
9227        nl: 0,
9228        nf: 0,
9229        nd: 0,
9230        nom: 0,
9231        nme: 0,
9232        nve: 0,
9233        nea: 4,
9234        nma: -8,
9235        nju: 3,
9236        nsa: 0,
9237        nur: 0,
9238        nne: 0,
9239        npa: 1,
9240        sp: 3,
9241        cp: 0,
9242        se: 0,
9243        ce: -2,
9244    },
9245    Xpl {
9246        nl: 0,
9247        nf: 1,
9248        nd: -1,
9249        nom: 1,
9250        nme: 0,
9251        nve: 0,
9252        nea: 3,
9253        nma: -8,
9254        nju: 3,
9255        nsa: 0,
9256        nur: 0,
9257        nne: 0,
9258        npa: 0,
9259        sp: -114,
9260        cp: 0,
9261        se: 0,
9262        ce: 61,
9263    },
9264    Xpl {
9265        nl: -1,
9266        nf: 0,
9267        nd: 0,
9268        nom: 0,
9269        nme: 0,
9270        nve: 10,
9271        nea: -3,
9272        nma: 0,
9273        nju: 0,
9274        nsa: 0,
9275        nur: 0,
9276        nne: 0,
9277        npa: 0,
9278        sp: -219,
9279        cp: 89,
9280        se: 0,
9281        ce: 0,
9282    },
9283    Xpl {
9284        nl: 0,
9285        nf: 0,
9286        nd: 0,
9287        nom: 0,
9288        nme: 0,
9289        nve: 0,
9290        nea: 0,
9291        nma: 0,
9292        nju: -2,
9293        nsa: 6,
9294        nur: -3,
9295        nne: 0,
9296        npa: 2,
9297        sp: -3,
9298        cp: 0,
9299        se: 0,
9300        ce: 0,
9301    },
9302    Xpl {
9303        nl: 0,
9304        nf: 0,
9305        nd: 0,
9306        nom: 0,
9307        nme: 0,
9308        nve: 0,
9309        nea: 4,
9310        nma: -8,
9311        nju: 3,
9312        nsa: 0,
9313        nur: 0,
9314        nne: 0,
9315        npa: 0,
9316        sp: -462,
9317        cp: 1604,
9318        se: 0,
9319        ce: 0,
9320    },
9321    Xpl {
9322        nl: 0,
9323        nf: 1,
9324        nd: -1,
9325        nom: 1,
9326        nme: 0,
9327        nve: 0,
9328        nea: -5,
9329        nma: 8,
9330        nju: -3,
9331        nsa: 0,
9332        nur: 0,
9333        nne: 0,
9334        npa: 0,
9335        sp: 99,
9336        cp: 0,
9337        se: 0,
9338        ce: -53,
9339    },
9340    Xpl {
9341        nl: 0,
9342        nf: 0,
9343        nd: 0,
9344        nom: 0,
9345        nme: 0,
9346        nve: 0,
9347        nea: -4,
9348        nma: 8,
9349        nju: -3,
9350        nsa: 0,
9351        nur: 0,
9352        nne: 0,
9353        npa: 1,
9354        sp: -3,
9355        cp: 0,
9356        se: 0,
9357        ce: 2,
9358    },
9359    Xpl {
9360        nl: 0,
9361        nf: 0,
9362        nd: 0,
9363        nom: 0,
9364        nme: 0,
9365        nve: 0,
9366        nea: 4,
9367        nma: -8,
9368        nju: 1,
9369        nsa: 5,
9370        nur: 0,
9371        nne: 0,
9372        npa: 2,
9373        sp: 0,
9374        cp: 6,
9375        se: 2,
9376        ce: 0,
9377    },
9378    Xpl {
9379        nl: 0,
9380        nf: 0,
9381        nd: 0,
9382        nom: 0,
9383        nme: 0,
9384        nve: -5,
9385        nea: 6,
9386        nma: 4,
9387        nju: 0,
9388        nsa: 0,
9389        nur: 0,
9390        nne: 0,
9391        npa: 2,
9392        sp: 3,
9393        cp: 0,
9394        se: 0,
9395        ce: 0,
9396    },
9397    Xpl {
9398        nl: 0,
9399        nf: 0,
9400        nd: 0,
9401        nom: 0,
9402        nme: 0,
9403        nve: 0,
9404        nea: 0,
9405        nma: 0,
9406        nju: 2,
9407        nsa: -5,
9408        nur: 0,
9409        nne: 0,
9410        npa: 2,
9411        sp: -12,
9412        cp: 0,
9413        se: 0,
9414        ce: 0,
9415    },
9416    Xpl {
9417        nl: 0,
9418        nf: 0,
9419        nd: 0,
9420        nom: 0,
9421        nme: 0,
9422        nve: 0,
9423        nea: 0,
9424        nma: 0,
9425        nju: 2,
9426        nsa: -5,
9427        nur: 0,
9428        nne: 0,
9429        npa: 1,
9430        sp: 14,
9431        cp: -218,
9432        se: 117,
9433        ce: 8,
9434    },
9435    Xpl {
9436        nl: 0,
9437        nf: 1,
9438        nd: -1,
9439        nom: 1,
9440        nme: 0,
9441        nve: 0,
9442        nea: -1,
9443        nma: 0,
9444        nju: 2,
9445        nsa: -5,
9446        nur: 0,
9447        nne: 0,
9448        npa: 0,
9449        sp: 31,
9450        cp: -481,
9451        se: -257,
9452        ce: -17,
9453    },
9454    Xpl {
9455        nl: 0,
9456        nf: 0,
9457        nd: 0,
9458        nom: 0,
9459        nme: 0,
9460        nve: 0,
9461        nea: 0,
9462        nma: 0,
9463        nju: 2,
9464        nsa: -5,
9465        nur: 0,
9466        nne: 0,
9467        npa: 0,
9468        sp: -491,
9469        cp: 128,
9470        se: 0,
9471        ce: 0,
9472    },
9473    Xpl {
9474        nl: 0,
9475        nf: 1,
9476        nd: -1,
9477        nom: 1,
9478        nme: 0,
9479        nve: 0,
9480        nea: -1,
9481        nma: 0,
9482        nju: -2,
9483        nsa: 5,
9484        nur: 0,
9485        nne: 0,
9486        npa: 0,
9487        sp: -3084,
9488        cp: 5123,
9489        se: 2735,
9490        ce: 1647,
9491    },
9492    Xpl {
9493        nl: 0,
9494        nf: 0,
9495        nd: 0,
9496        nom: 0,
9497        nme: 0,
9498        nve: 0,
9499        nea: 0,
9500        nma: 0,
9501        nju: -2,
9502        nsa: 5,
9503        nur: 0,
9504        nne: 0,
9505        npa: 1,
9506        sp: -1444,
9507        cp: 2409,
9508        se: -1286,
9509        ce: -771,
9510    },
9511    Xpl {
9512        nl: 0,
9513        nf: 0,
9514        nd: 0,
9515        nom: 0,
9516        nme: 0,
9517        nve: 0,
9518        nea: 0,
9519        nma: 0,
9520        nju: -2,
9521        nsa: 5,
9522        nur: 0,
9523        nne: 0,
9524        npa: 2,
9525        sp: 11,
9526        cp: -24,
9527        se: -11,
9528        ce: -9,
9529    },
9530    Xpl {
9531        nl: 2,
9532        nf: -1,
9533        nd: -1,
9534        nom: 0,
9535        nme: 0,
9536        nve: 0,
9537        nea: 3,
9538        nma: -7,
9539        nju: 0,
9540        nsa: 0,
9541        nur: 0,
9542        nne: 0,
9543        npa: 0,
9544        sp: 26,
9545        cp: -9,
9546        se: 0,
9547        ce: 0,
9548    },
9549    Xpl {
9550        nl: 1,
9551        nf: 0,
9552        nd: -2,
9553        nom: 0,
9554        nme: 0,
9555        nve: 19,
9556        nea: -21,
9557        nma: 3,
9558        nju: 0,
9559        nsa: 0,
9560        nur: 0,
9561        nne: 0,
9562        npa: 0,
9563        sp: 103,
9564        cp: -60,
9565        se: 0,
9566        ce: 0,
9567    },
9568    Xpl {
9569        nl: 0,
9570        nf: 1,
9571        nd: -1,
9572        nom: 1,
9573        nme: 0,
9574        nve: 2,
9575        nea: -4,
9576        nma: 0,
9577        nju: -3,
9578        nsa: 0,
9579        nur: 0,
9580        nne: 0,
9581        npa: 0,
9582        sp: 0,
9583        cp: -13,
9584        se: -7,
9585        ce: 0,
9586    },
9587    Xpl {
9588        nl: 1,
9589        nf: 0,
9590        nd: -1,
9591        nom: 1,
9592        nme: 0,
9593        nve: 0,
9594        nea: -1,
9595        nma: 0,
9596        nju: 2,
9597        nsa: 0,
9598        nur: 0,
9599        nne: 0,
9600        npa: 0,
9601        sp: -26,
9602        cp: -29,
9603        se: -16,
9604        ce: 14,
9605    },
9606    Xpl {
9607        nl: 0,
9608        nf: 1,
9609        nd: -1,
9610        nom: 1,
9611        nme: 0,
9612        nve: 0,
9613        nea: -1,
9614        nma: 0,
9615        nju: -4,
9616        nsa: 10,
9617        nur: 0,
9618        nne: 0,
9619        npa: 0,
9620        sp: 9,
9621        cp: -27,
9622        se: -14,
9623        ce: -5,
9624    },
9625    Xpl {
9626        nl: -2,
9627        nf: 0,
9628        nd: 2,
9629        nom: 1,
9630        nme: 0,
9631        nve: 0,
9632        nea: 2,
9633        nma: 0,
9634        nju: 0,
9635        nsa: -5,
9636        nur: 0,
9637        nne: 0,
9638        npa: 0,
9639        sp: 12,
9640        cp: 0,
9641        se: 0,
9642        ce: -6,
9643    },
9644    Xpl {
9645        nl: 0,
9646        nf: 0,
9647        nd: 0,
9648        nom: 0,
9649        nme: 0,
9650        nve: 3,
9651        nea: -7,
9652        nma: 4,
9653        nju: 0,
9654        nsa: 0,
9655        nur: 0,
9656        nne: 0,
9657        npa: 0,
9658        sp: -7,
9659        cp: 0,
9660        se: 0,
9661        ce: 0,
9662    },
9663    Xpl {
9664        nl: 0,
9665        nf: -1,
9666        nd: 1,
9667        nom: 0,
9668        nme: 0,
9669        nve: 0,
9670        nea: 1,
9671        nma: 0,
9672        nju: 1,
9673        nsa: -1,
9674        nur: 0,
9675        nne: 0,
9676        npa: 0,
9677        sp: 0,
9678        cp: 24,
9679        se: 0,
9680        ce: 0,
9681    },
9682    Xpl {
9683        nl: -2,
9684        nf: 0,
9685        nd: 2,
9686        nom: 1,
9687        nme: 0,
9688        nve: 0,
9689        nea: 2,
9690        nma: 0,
9691        nju: -2,
9692        nsa: 0,
9693        nur: 0,
9694        nne: 0,
9695        npa: 0,
9696        sp: 284,
9697        cp: 0,
9698        se: 0,
9699        ce: -151,
9700    },
9701    Xpl {
9702        nl: -1,
9703        nf: 0,
9704        nd: 0,
9705        nom: 0,
9706        nme: 0,
9707        nve: 18,
9708        nea: -16,
9709        nma: 0,
9710        nju: 0,
9711        nsa: 0,
9712        nur: 0,
9713        nne: 0,
9714        npa: 0,
9715        sp: 226,
9716        cp: 101,
9717        se: 0,
9718        ce: 0,
9719    },
9720    Xpl {
9721        nl: -2,
9722        nf: 1,
9723        nd: 1,
9724        nom: 2,
9725        nme: 0,
9726        nve: 0,
9727        nea: 1,
9728        nma: 0,
9729        nju: -2,
9730        nsa: 0,
9731        nur: 0,
9732        nne: 0,
9733        npa: 0,
9734        sp: 0,
9735        cp: -8,
9736        se: -2,
9737        ce: 0,
9738    },
9739    Xpl {
9740        nl: -1,
9741        nf: 1,
9742        nd: -1,
9743        nom: 1,
9744        nme: 0,
9745        nve: 18,
9746        nea: -17,
9747        nma: 0,
9748        nju: 0,
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21119    },
21120    Xpl {
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21122        nf: 0,
21123        nd: 0,
21124        nom: 0,
21125        nme: 0,
21126        nve: 0,
21127        nea: 1,
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21129        nju: -1,
21130        nsa: 0,
21131        nur: 0,
21132        nne: 0,
21133        npa: 0,
21134        sp: 4,
21135        cp: 0,
21136        se: 0,
21137        ce: 0,
21138    },
21139    Xpl {
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21141        nf: 0,
21142        nd: 0,
21143        nom: 0,
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21152        npa: 0,
21153        sp: -5,
21154        cp: 0,
21155        se: 0,
21156        ce: 0,
21157    },
21158    Xpl {
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21160        nf: 0,
21161        nd: 2,
21162        nom: 0,
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21165        nea: -2,
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21170        nne: 0,
21171        npa: 0,
21172        sp: 4,
21173        cp: 0,
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21175        ce: 0,
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21177    Xpl {
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21180        nd: 1,
21181        nom: 0,
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21184        nea: 1,
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21186        nju: 0,
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21190        npa: 0,
21191        sp: 0,
21192        cp: 3,
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21194        ce: 0,
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21196    Xpl {
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21198        nf: 0,
21199        nd: 2,
21200        nom: 0,
21201        nme: 0,
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21203        nea: 2,
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21205        nju: -3,
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21209        npa: 0,
21210        sp: 13,
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21213        ce: 0,
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21215    Xpl {
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21218        nd: 0,
21219        nom: 0,
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21227        nne: 0,
21228        npa: 0,
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21230        cp: 11,
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21232        ce: 0,
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21234    Xpl {
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21238        nom: 0,
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21247        npa: 0,
21248        sp: 0,
21249        cp: -5,
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21251        ce: 0,
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21253    Xpl {
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21255        nf: 1,
21256        nd: -1,
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21266        npa: 0,
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21270        ce: 0,
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21272    Xpl {
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21274        nf: 1,
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21281        nju: 0,
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21284        nne: 0,
21285        npa: 0,
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21287        cp: 5,
21288        se: 3,
21289        ce: 0,
21290    },
21291    Xpl {
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21293        nf: 0,
21294        nd: 0,
21295        nom: 0,
21296        nme: 0,
21297        nve: 0,
21298        nea: 4,
21299        nma: -8,
21300        nju: 3,
21301        nsa: 0,
21302        nur: 0,
21303        nne: 0,
21304        npa: 0,
21305        sp: 0,
21306        cp: -5,
21307        se: 0,
21308        ce: 0,
21309    },
21310    Xpl {
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21312        nf: 0,
21313        nd: 2,
21314        nom: 1,
21315        nme: 0,
21316        nve: 0,
21317        nea: 2,
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21319        nju: -2,
21320        nsa: 0,
21321        nur: 0,
21322        nne: 0,
21323        npa: 0,
21324        sp: -3,
21325        cp: 0,
21326        se: 0,
21327        ce: 2,
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21329    Xpl {
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21331        nf: 0,
21332        nd: 0,
21333        nom: 0,
21334        nme: 0,
21335        nve: 0,
21336        nea: 2,
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21338        nju: -2,
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21340        nur: 0,
21341        nne: 0,
21342        npa: 0,
21343        sp: 20,
21344        cp: 10,
21345        se: 0,
21346        ce: 0,
21347    },
21348    Xpl {
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21350        nf: 0,
21351        nd: 2,
21352        nom: 0,
21353        nme: 0,
21354        nve: 0,
21355        nea: 2,
21356        nma: 0,
21357        nju: -2,
21358        nsa: 0,
21359        nur: 0,
21360        nne: 0,
21361        npa: 0,
21362        sp: -34,
21363        cp: 0,
21364        se: 0,
21365        ce: 0,
21366    },
21367    Xpl {
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21369        nf: 0,
21370        nd: 2,
21371        nom: 0,
21372        nme: 0,
21373        nve: 3,
21374        nea: -3,
21375        nma: 0,
21376        nju: 0,
21377        nsa: 0,
21378        nur: 0,
21379        nne: 0,
21380        npa: 0,
21381        sp: -19,
21382        cp: 0,
21383        se: 0,
21384        ce: 0,
21385    },
21386    Xpl {
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21388        nf: 0,
21389        nd: -2,
21390        nom: 1,
21391        nme: 0,
21392        nve: 0,
21393        nea: -2,
21394        nma: 0,
21395        nju: 2,
21396        nsa: 0,
21397        nur: 0,
21398        nne: 0,
21399        npa: 0,
21400        sp: 3,
21401        cp: 0,
21402        se: 0,
21403        ce: -2,
21404    },
21405    Xpl {
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21407        nf: 2,
21408        nd: -2,
21409        nom: 2,
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21411        nve: -3,
21412        nea: 3,
21413        nma: 0,
21414        nju: 0,
21415        nsa: 0,
21416        nur: 0,
21417        nne: 0,
21418        npa: 0,
21419        sp: -3,
21420        cp: 0,
21421        se: 0,
21422        ce: 1,
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21424    Xpl {
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21426        nf: 2,
21427        nd: -2,
21428        nom: 2,
21429        nme: 0,
21430        nve: 0,
21431        nea: -2,
21432        nma: 0,
21433        nju: 2,
21434        nsa: 0,
21435        nur: 0,
21436        nne: 0,
21437        npa: 0,
21438        sp: -6,
21439        cp: 0,
21440        se: 0,
21441        ce: 3,
21442    },
21443    Xpl {
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21446        nd: 0,
21447        nom: 0,
21448        nme: 0,
21449        nve: 1,
21450        nea: -1,
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21452        nju: 0,
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21454        nur: 0,
21455        nne: 0,
21456        npa: 0,
21457        sp: -4,
21458        cp: 0,
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21460        ce: 0,
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21462    Xpl {
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21465        nd: 0,
21466        nom: 0,
21467        nme: 0,
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21469        nea: 1,
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21471        nju: -1,
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21475        npa: 0,
21476        sp: 3,
21477        cp: 0,
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21480    },
21481    Xpl {
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21484        nd: -2,
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21488        nea: -2,
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21490        nju: 0,
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21492        nur: 0,
21493        nne: 0,
21494        npa: 0,
21495        sp: 3,
21496        cp: 0,
21497        se: 0,
21498        ce: 0,
21499    },
21500    Xpl {
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21502        nf: 0,
21503        nd: -2,
21504        nom: 0,
21505        nme: 0,
21506        nve: 0,
21507        nea: 1,
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21512        nne: 0,
21513        npa: 0,
21514        sp: 4,
21515        cp: 0,
21516        se: 0,
21517        ce: 0,
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21519    Xpl {
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21521        nf: 2,
21522        nd: 0,
21523        nom: 2,
21524        nme: 0,
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21527        nma: 0,
21528        nju: 0,
21529        nsa: 0,
21530        nur: 0,
21531        nne: 0,
21532        npa: 0,
21533        sp: 3,
21534        cp: 0,
21535        se: 0,
21536        ce: -1,
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21538    Xpl {
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21540        nf: 2,
21541        nd: 0,
21542        nom: 2,
21543        nme: 0,
21544        nve: 0,
21545        nea: -1,
21546        nma: 0,
21547        nju: 1,
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21549        nur: 0,
21550        nne: 0,
21551        npa: 0,
21552        sp: 6,
21553        cp: 0,
21554        se: 0,
21555        ce: -3,
21556    },
21557    Xpl {
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21559        nf: 2,
21560        nd: 0,
21561        nom: 2,
21562        nme: 0,
21563        nve: -1,
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21565        nma: 0,
21566        nju: 0,
21567        nsa: 0,
21568        nur: 0,
21569        nne: 0,
21570        npa: 0,
21571        sp: -8,
21572        cp: 0,
21573        se: 0,
21574        ce: 3,
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21576    Xpl {
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21578        nf: 2,
21579        nd: 0,
21580        nom: 2,
21581        nme: 0,
21582        nve: -2,
21583        nea: 3,
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21585        nju: 0,
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21587        nur: 0,
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21589        npa: 0,
21590        sp: 0,
21591        cp: 3,
21592        se: 1,
21593        ce: 0,
21594    },
21595    Xpl {
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21597        nf: 0,
21598        nd: 2,
21599        nom: 0,
21600        nme: 0,
21601        nve: 0,
21602        nea: 2,
21603        nma: 0,
21604        nju: -2,
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21606        nur: 0,
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21608        npa: 0,
21609        sp: -3,
21610        cp: 0,
21611        se: 0,
21612        ce: 0,
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21614    Xpl {
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21616        nf: 1,
21617        nd: 1,
21618        nom: 2,
21619        nme: 0,
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21621        nea: 1,
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21625        nur: 0,
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21627        npa: 0,
21628        sp: 0,
21629        cp: -3,
21630        se: -2,
21631        ce: 0,
21632    },
21633    Xpl {
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21635        nf: 2,
21636        nd: 0,
21637        nom: 2,
21638        nme: 0,
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21640        nea: 1,
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21642        nju: 0,
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21645        nne: 0,
21646        npa: 0,
21647        sp: 126,
21648        cp: -63,
21649        se: -27,
21650        ce: -55,
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21652    Xpl {
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21654        nf: 2,
21655        nd: 0,
21656        nom: 2,
21657        nme: 0,
21658        nve: 10,
21659        nea: -3,
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21665        npa: 0,
21666        sp: -5,
21667        cp: 0,
21668        se: 1,
21669        ce: 2,
21670    },
21671    Xpl {
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21673        nf: 1,
21674        nd: 1,
21675        nom: 1,
21676        nme: 0,
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21678        nea: 1,
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21680        nju: 0,
21681        nsa: 0,
21682        nur: 0,
21683        nne: 0,
21684        npa: 0,
21685        sp: -3,
21686        cp: 28,
21687        se: 15,
21688        ce: 2,
21689    },
21690    Xpl {
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21692        nf: 2,
21693        nd: 0,
21694        nom: 2,
21695        nme: 0,
21696        nve: 0,
21697        nea: 1,
21698        nma: 0,
21699        nju: 0,
21700        nsa: 0,
21701        nur: 0,
21702        nne: 0,
21703        npa: 0,
21704        sp: 5,
21705        cp: 0,
21706        se: 1,
21707        ce: -2,
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21709    Xpl {
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21711        nf: 2,
21712        nd: 0,
21713        nom: 2,
21714        nme: 0,
21715        nve: 0,
21716        nea: 4,
21717        nma: -8,
21718        nju: 3,
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21720        nur: 0,
21721        nne: 0,
21722        npa: 0,
21723        sp: 0,
21724        cp: 9,
21725        se: 4,
21726        ce: 1,
21727    },
21728    Xpl {
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21730        nf: 2,
21731        nd: 0,
21732        nom: 2,
21733        nme: 0,
21734        nve: 0,
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21736        nma: 8,
21737        nju: -3,
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21739        nur: 0,
21740        nne: 0,
21741        npa: 0,
21742        sp: 0,
21743        cp: 9,
21744        se: 4,
21745        ce: -1,
21746    },
21747    Xpl {
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21749        nf: 2,
21750        nd: 0,
21751        nom: 2,
21752        nme: 0,
21753        nve: 0,
21754        nea: -4,
21755        nma: 8,
21756        nju: -3,
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21758        nur: 0,
21759        nne: 0,
21760        npa: 0,
21761        sp: -126,
21762        cp: -63,
21763        se: -27,
21764        ce: 55,
21765    },
21766    Xpl {
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21768        nf: 2,
21769        nd: -2,
21770        nom: 2,
21771        nme: 0,
21772        nve: 0,
21773        nea: -2,
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21775        nju: 3,
21776        nsa: 0,
21777        nur: 0,
21778        nne: 0,
21779        npa: 0,
21780        sp: 3,
21781        cp: 0,
21782        se: 0,
21783        ce: -1,
21784    },
21785    Xpl {
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21787        nf: 2,
21788        nd: 0,
21789        nom: 1,
21790        nme: 0,
21791        nve: 0,
21792        nea: -2,
21793        nma: 0,
21794        nju: 3,
21795        nsa: 0,
21796        nur: 0,
21797        nne: 0,
21798        npa: 0,
21799        sp: 21,
21800        cp: -11,
21801        se: -6,
21802        ce: -11,
21803    },
21804    Xpl {
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21806        nf: 1,
21807        nd: 1,
21808        nom: 0,
21809        nme: 0,
21810        nve: 0,
21811        nea: 1,
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21813        nju: 0,
21814        nsa: 0,
21815        nur: 0,
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21817        npa: 0,
21818        sp: 0,
21819        cp: -4,
21820        se: 0,
21821        ce: 0,
21822    },
21823    Xpl {
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21825        nf: 2,
21826        nd: 0,
21827        nom: 1,
21828        nme: 0,
21829        nve: 0,
21830        nea: 1,
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21832        nju: 0,
21833        nsa: 0,
21834        nur: 0,
21835        nne: 0,
21836        npa: 0,
21837        sp: -21,
21838        cp: -11,
21839        se: -6,
21840        ce: 11,
21841    },
21842    Xpl {
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21844        nf: 2,
21845        nd: 2,
21846        nom: 2,
21847        nme: 0,
21848        nve: 0,
21849        nea: 2,
21850        nma: 0,
21851        nju: -2,
21852        nsa: 0,
21853        nur: 0,
21854        nne: 0,
21855        npa: 0,
21856        sp: -3,
21857        cp: 0,
21858        se: 0,
21859        ce: 1,
21860    },
21861    Xpl {
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21863        nf: 2,
21864        nd: 0,
21865        nom: 2,
21866        nme: 0,
21867        nve: 2,
21868        nea: -3,
21869        nma: 0,
21870        nju: 0,
21871        nsa: 0,
21872        nur: 0,
21873        nne: 0,
21874        npa: 0,
21875        sp: 0,
21876        cp: 3,
21877        se: 1,
21878        ce: 0,
21879    },
21880    Xpl {
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21882        nf: 2,
21883        nd: 0,
21884        nom: 2,
21885        nme: 0,
21886        nve: 1,
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21888        nma: 0,
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21890        nsa: 0,
21891        nur: 0,
21892        nne: 0,
21893        npa: 0,
21894        sp: 8,
21895        cp: 0,
21896        se: 0,
21897        ce: -4,
21898    },
21899    Xpl {
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21901        nf: 2,
21902        nd: 0,
21903        nom: 2,
21904        nme: 0,
21905        nve: 0,
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21914        cp: 0,
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21916        ce: 3,
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21918    Xpl {
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21920        nf: 2,
21921        nd: 0,
21922        nom: 2,
21923        nme: 0,
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21925        nea: -2,
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21927        nju: 0,
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21931        npa: 0,
21932        sp: -3,
21933        cp: 0,
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21935        ce: 1,
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21937    Xpl {
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21939        nf: 2,
21940        nd: 2,
21941        nom: 2,
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21956    Xpl {
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21958        nf: 2,
21959        nd: 0,
21960        nom: 2,
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21970        sp: -3,
21971        cp: 0,
21972        se: 0,
21973        ce: 1,
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21975    Xpl {
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21978        nd: 2,
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21993    },
21994    Xpl {
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21996        nf: 2,
21997        nd: 0,
21998        nom: 2,
21999        nme: 0,
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22011        ce: -11,
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22013    Xpl {
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22015        nf: 2,
22016        nd: 0,
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22032    Xpl {
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