Line data Source code
1 : /* Copyright (C) 2014 The PARI group.
2 :
3 : This file is part of the PARI/GP package.
4 :
5 : PARI/GP is free software; you can redistribute it and/or modify it under the
6 : terms of the GNU General Public License as published by the Free Software
7 : Foundation; either version 2 of the License, or (at your option) any later
8 : version. It is distributed in the hope that it will be useful, but WITHOUT
9 : ANY WARRANTY WHATSOEVER.
10 :
11 : Check the License for details. You should have received a copy of it, along
12 : with the package; see the file 'COPYING'. If not, write to the Free Software
13 : Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA. */
14 :
15 : #include "pari.h"
16 : #include "paripriv.h"
17 :
18 : /* In the database, the curve X1(N) is given by the bivariate
19 : * polynomial X. The degree of X in its main variable is at least
20 : * the degree of its secondary variable, except for N = 6, 7, 8, 9,
21 : * 10, 12. Note that X1(N) is genus 0 for N <= 10 and N = 12, and
22 : * genus 1 for N = 11, 14, and 15. */
23 :
24 : INLINE ulong
25 6161644 : Fl_mul4(ulong x, ulong p) { return Fl_double(Fl_double(x, p), p); }
26 :
27 : /* p odd */
28 : INLINE ulong
29 2080 : Fl_inv4(ulong p)
30 : {
31 2080 : if ((p & 3UL) == 3) return (p + 1) >> 2;
32 996 : return p - (p >> 2);
33 : }
34 : /* p > 3 */
35 : INLINE ulong
36 5187 : Fl_inv3(ulong p)
37 : {
38 5187 : if ((p % 3) == 1) return p - p / 3;
39 4758 : return (p + 1) / 3;
40 : }
41 :
42 : INLINE ulong
43 0 : Fl_div4(ulong x, ulong p) { return Fl_halve(Fl_halve(x, p), p); }
44 :
45 : INLINE ulong
46 0 : Fl_div8(ulong x, ulong p) { return Fl_halve(Fl_div4(x, p), p); }
47 :
48 : /* which map to use to convert from (r,s) to (b,c) coeffs. */
49 : typedef enum { RS_MAP, T_MAP, QT_MAP, TQ_MAP } map_type;
50 :
51 : typedef struct {
52 : GEN crv;
53 : GEN r_num, r_den;
54 : long rplus1;
55 : GEN s_num, s_den;
56 : long splus1;
57 : map_type map;
58 : } X1_info;
59 :
60 : #define FIRST_X1_LEVEL 13
61 : #define LAST_X1_LEVEL 39
62 : /* The table is defined at the end of the file. */
63 : INLINE const X1_info *get_X1_info(ulong N);
64 :
65 : /* Compute the image of (x,y) -> (r_n(x,y)/r_d(x,y), s_n(x,y), s_d(x,y)) */
66 : static void
67 537920 : map_X1_points(GEN r, GEN s, const X1_info *X1, long ncurves, ulong p, ulong pi)
68 : {
69 537920 : pari_sp ltop = avma, av;
70 : GEN X1_c, rn_pol, rd_pol, sn_pol, sd_pol, rn, sn, rd, sd;
71 : long xdeg, ydeg, i;
72 :
73 537920 : X1_c = zxX_to_FlxX(X1->crv, p);
74 537801 : xdeg = degpol(X1_c);
75 537795 : ydeg = FlxY_degreex(X1_c);
76 :
77 537857 : rn_pol = zxX_to_FlxX(X1->r_num, p);
78 537803 : rd_pol = zxX_to_FlxX(X1->r_den, p);
79 537840 : sn_pol = zxX_to_FlxX(X1->s_num, p);
80 537831 : sd_pol = zxX_to_FlxX(X1->s_den, p);
81 :
82 537843 : xdeg = maxss(xdeg, degpol(rn_pol));
83 537843 : xdeg = maxss(xdeg, degpol(rd_pol));
84 537905 : xdeg = maxss(xdeg, degpol(sn_pol));
85 537887 : xdeg = maxss(xdeg, degpol(sd_pol));
86 :
87 537888 : ydeg = maxss(ydeg, FlxY_degreex(rn_pol));
88 537914 : ydeg = maxss(ydeg, FlxY_degreex(rd_pol));
89 537896 : ydeg = maxss(ydeg, FlxY_degreex(sn_pol));
90 537920 : ydeg = maxss(ydeg, FlxY_degreex(sd_pol));
91 :
92 537929 : rn = cgetg(ncurves + 1, t_VECSMALL);
93 537955 : rd = cgetg(ncurves + 1, t_VECSMALL);
94 537929 : sn = cgetg(ncurves + 1, t_VECSMALL);
95 537929 : sd = cgetg(ncurves + 1, t_VECSMALL);
96 :
97 537934 : av = avma;
98 3896758 : for (i = 1; i <= ncurves; ) {
99 : GEN pol, ypowers, xpowers;
100 : ulong y, x;
101 3358661 : y = random_Fl(p);
102 3358672 : ypowers = Fl_powers_pre(y, ydeg, p, pi);
103 3358264 : pol = FlxY_evalx_powers_pre(X1_c, ypowers, p, pi);
104 3358232 : x = Flx_oneroot_pre(pol, p, pi);
105 3357906 : if (x != p) {
106 1710139 : xpowers = Fl_powers_pre(x, xdeg, p, pi);
107 1710199 : rd[i] = FlxY_eval_powers_pre(rd_pol, ypowers, xpowers, p, pi);
108 1710597 : sd[i] = FlxY_eval_powers_pre(sd_pol, ypowers, xpowers, p, pi);
109 1710513 : if (rd[i] != 0 && sd[i] != 0) {
110 1709413 : rn[i] = FlxY_eval_powers_pre(rn_pol, ypowers, xpowers, p, pi);
111 1709419 : sn[i] = FlxY_eval_powers_pre(sn_pol, ypowers, xpowers, p, pi);
112 1709340 : ++i;
113 : }
114 : }
115 3358207 : set_avma(av);
116 : }
117 :
118 538097 : Flv_inv_pre_inplace(rd, p, pi);
119 538036 : Flv_inv_pre_inplace(sd, p, pi);
120 :
121 2247804 : for (i = 1; i <= ncurves; ++i) {
122 1709667 : r[i] = Fl_addmul_pre(X1->rplus1, rn[i], rd[i], p, pi);
123 1709820 : s[i] = Fl_addmul_pre(X1->splus1, sn[i], sd[i], p, pi);
124 : }
125 538137 : set_avma(ltop);
126 538121 : }
127 :
128 : /*
129 : * A curve y^2 = x^3 + a2 x^2 + a4 x is isomorphic to the curve
130 : *
131 : * y^2 = x^3 + (a4 - 1/3*a2^2) x + (2/27*a2^3 - 1/3*a4*a2)
132 : * = x^3 + (a4 - a2 c) x + (2 c^3 - a4 c)
133 : *
134 : * (where c = a2/3) which is in short form.
135 : */
136 : INLINE void
137 48352 : a2a4_to_a4a6(ulong *a4, ulong *a6, ulong A2, ulong A4, ulong inv3, ulong p, ulong pi)
138 : {
139 48352 : ulong c = Fl_mul_pre(A2, inv3, p, pi);
140 48352 : *a4 = Fl_sub(A4, Fl_mul_pre(A2, c, p, pi), p);
141 48352 : *a6 = Fl_sub(Fl_double(Fl_mul_pre(c, Fl_sqr_pre(c, p, pi), p, pi), p),
142 : Fl_mul_pre(A4, c, p, pi), p);
143 48352 : }
144 :
145 : /*
146 : * A curve y^2 + a1 xy + a3 y = x^3 is isomorphic to the curve
147 : *
148 : * y^2 = x^3 + (1/2*a3*a1 -1/48*a1^4) x + (1/864*a1^6 - 1/24*a3*a1^3 + 1/4*a3^2
149 : * = x^3 + c (a3 - 1/3 * c^3) x + 1/3 * c^3(1/9 c^2 a1 - a3) + 1/4 a3^2
150 : *
151 : * (where c = a1/2) which is in short form.
152 : */
153 : INLINE void
154 20848 : a1a3_to_a4a6(
155 : ulong *a4, ulong *a6,
156 : ulong a1, ulong a3, ulong inv3, ulong inv4, ulong inv9, ulong p, ulong pi)
157 : {
158 20848 : ulong c = Fl_halve(a1, p);
159 20848 : ulong c2 = Fl_sqr_pre(c, p, pi);
160 20849 : ulong c3_on_3 = Fl_mul_pre(Fl_mul_pre(c, c2, p, pi), inv3, p, pi);
161 : /* t1 = c^2 * a1 / 9 */
162 20849 : ulong t1 = Fl_mul_pre(c2, Fl_mul_pre(a1, inv9, p, pi), p, pi);
163 : /* t1 = c^3/3 (c^2 * a1 / 9 - a3) */
164 20851 : t1 = Fl_mul_pre(c3_on_3, Fl_sub(t1, a3, p), p, pi);
165 :
166 20850 : *a4 = Fl_mul_pre(c, Fl_sub(a3, c3_on_3, p), p, pi);
167 20850 : *a6 = Fl_addmul_pre(t1, inv4, Fl_sqr_pre(a3, p, pi), p, pi);
168 20851 : }
169 :
170 : /* E: y^2 + (1 - c)xy - by = x^3 - bx^2; p > 3
171 : * Singular iff b(c^4 - 3*c^3 + (-8*b+3)*c^2 + (-20*b-1)*c + (16*b^2+b)) = 0
172 : * Sutherland has a version of this function in tecurve.c
173 : * around line 306. FIXME: Could precompute some of the constants. */
174 : INLINE void
175 2965696 : bc_to_a4a6(ulong *a4, ulong *a6, ulong b, ulong c, ulong p, ulong pi)
176 : {
177 : ulong t0, t2, b2, b4, b6, c4, c6;
178 :
179 2965696 : b6 = Fl_sub(c, 1, p);
180 2965724 : t0 = Fl_sqr_pre(b6, p, pi);
181 2965762 : b4 = Fl_mul4(b, p);
182 2965476 : b2 = Fl_sub(t0, b4, p);
183 2965428 : b4 = Fl_mul_pre(b6, b, p, pi);
184 2965624 : b6 = Fl_sqr_pre(b, p, pi);
185 2965374 : t2 = Fl_sqr_pre(b2, p, pi);
186 2965305 : c4 = Fl_mul_pre(24 % p, b4, p, pi);
187 2965480 : c4 = Fl_sub(c4, t2, p);
188 :
189 2965490 : t0 = Fl_mul_pre(36 % p, b4, p, pi);
190 2965750 : t2 = Fl_sub(t2, t0, p);
191 2965685 : c6 = Fl_mul_pre(b2, t2, p, pi);
192 2965782 : t0 = Fl_mul_pre(216 % p, b6, p, pi);
193 2965675 : c6 = Fl_add(c6, t0, p);
194 :
195 2965617 : *a4 = Fl_mul_pre(27 % p, c4, p, pi);
196 2965839 : *a6 = Fl_mul_pre(54 % p, c6, p, pi);
197 2965886 : }
198 :
199 : INLINE void
200 2965650 : bc_to_a4a6_and_tors(
201 : ulong *a4, ulong *a6, ulong *tx, ulong *ty,
202 : ulong b, ulong c, ulong p, ulong pi)
203 : {
204 2965650 : bc_to_a4a6(a4, a6, b, c, p, pi);
205 :
206 : /* tx = 3((c - 1)^2 - 4b) */
207 2965861 : *tx = Fl_triple(Fl_sub(Fl_sqr(Fl_sub(c, 1, p), p), Fl_mul4(b, p), p), p);
208 : /* ty = -108 b */
209 2965364 : *ty = Fl_neg(Fl_mul_pre(108 % p, b, p, pi), p);
210 2966155 : }
211 :
212 : INLINE void
213 0 : tq_to_a4a6_and_tors(
214 : ulong *a4, ulong *a6, ulong *tx, ulong *ty,
215 : ulong q, ulong t, ulong p, ulong pi, ulong inv3)
216 : {
217 : ulong A2, A4;
218 0 : ulong t2 = Fl_sqr_pre(t, p, pi);
219 0 : ulong qtp1 = Fl_addmul_pre(1L, q, t, p, pi);
220 : /* a2 = t^2-2*(q*t+1), a4 = (1-t^2)*(q*t+1)^2 */
221 0 : A2 = Fl_sub(t2, Fl_double(qtp1, p), p);
222 0 : A4 = Fl_mul_pre(Fl_sub(1L, t2, p), Fl_sqr_pre(qtp1, p, pi), p, pi);
223 0 : a2a4_to_a4a6(a4, a6, A2, A4, inv3, p, pi);
224 :
225 : /* [tx, ty] = [(t+1)*(q*t+1),t*(q*t+1)*(t+1)] */
226 0 : *tx = Fl_mul_pre(Fl_add(t, 1L, p), qtp1, p, pi);
227 0 : *ty = Fl_mul_pre(t, *tx, p, pi);
228 : /* Map to isomorphic curve */
229 0 : *tx = Fl_addmul_pre(*tx, A2, inv3, p, pi);
230 0 : }
231 :
232 : INLINE void
233 0 : qt_to_a4a6_and_tors(
234 : ulong *a4, ulong *a6, ulong *tx, ulong *ty,
235 : ulong q, ulong t, ulong p, ulong pi, ulong c_12, ulong c_108)
236 : {
237 : /* z = (q+1)*(t^2-1)/8 */
238 0 : ulong z = Fl_div8(Fl_mul_pre(Fl_add(q, 1L, p),
239 : Fl_sub(Fl_sqr_pre(t, p, pi),
240 : 1L, p), p, pi), p);
241 0 : ulong bb = Fl_mul_pre(Fl_sub(q, 1L, p), z, p, pi);
242 0 : ulong b = Fl_halve(bb, p);
243 : /* E=[1,(q^2-1)*(t^2-1)/16,(q^2-1)*(t^2-1)/16,0,0];
244 : * = [1, (q-1)*(q+1)*(t^2-1)/16, idem]
245 : * = [1, b, b, 0, 0] */
246 0 : bc_to_a4a6(a4, a6, Fl_neg(b, p), 0L, p, pi);
247 :
248 : /* [tx,ty]= [(q+1)*(t^2-1)/8,(q+1)^2*(t^2-1)*(t-1)/32];
249 : * = [z, (q+1)*(t-1)*z*1/4] */
250 0 : *tx = z;
251 0 : *ty = Fl_mul_pre(Fl_add(q, 1L, p),
252 : Fl_mul_pre(Fl_div4(z, p),
253 : Fl_sub(t, 1L, p), p, pi), p, pi);
254 : /* Map to isomorphic curve:
255 : * (x, y) -> (3(12x + 4b + 1), 108(2y + x + b)) */
256 0 : *ty = Fl_mul_pre(c_108, Fl_add(Fl_double(*ty, p),
257 : Fl_add(b, *tx, p), p), p, pi);
258 0 : *tx = Fl_triple(Fl_addmul_pre(Fl_add(Fl_double(bb,p), 1L, p), c_12, *tx,p,pi),
259 : p);
260 0 : }
261 :
262 : INLINE void
263 0 : t_to_a4a6_and_tors(
264 : ulong *a4, ulong *a6, ulong *tx, ulong *ty,
265 : ulong q, ulong t, ulong p, ulong pi,
266 : ulong inv3, ulong inv4, ulong inv9)
267 : {
268 0 : ulong a1, a3, qt = Fl_mul_pre(q, t, p, pi), t1;
269 : /* a1 = q*t+t+(2-q), a3 = (q*t)*(t-1)+t */
270 0 : a1 = Fl_add(Fl_add(qt, t, p), Fl_sub(2L, q, p), p);
271 0 : a3 = Fl_addmul_pre(t, qt, Fl_sub(t, 1L, p), p, pi);
272 0 : a1a3_to_a4a6(a4, a6, a1, a3, inv3, inv4, inv9, p, pi);
273 0 : *tx = Fl_neg(t, p);
274 0 : *ty = Fl_sqr_pre(t, p, pi);
275 : /* Map to isomorphic curve:
276 : * (x, y) -> (x + 1/12*a1^2, 1/2*a1*x + (y + 1/2*a3)) */
277 0 : t1 = Fl_halve(a1, p);
278 0 : *ty = Fl_addmul_pre(Fl_add(*ty, Fl_halve(a3, p), p), *tx, t1, p, pi);
279 0 : *tx = Fl_addmul_pre(*tx, inv3, Fl_sqr_pre(t1, p, pi), p, pi);
280 0 : }
281 :
282 : INLINE void
283 2124683 : rs_to_a4a6_and_tors(
284 : ulong *a4, ulong *a6, ulong *tx, ulong *ty,
285 : ulong r, ulong s, ulong p, ulong pi)
286 : {
287 : /* c = s (r - 1) */
288 2124683 : ulong c = Fl_mul_pre(s, Fl_sub(r, 1, p), p, pi);
289 : /* b = rc */
290 2124708 : ulong b = Fl_mul_pre(r, c, p, pi);
291 2124466 : bc_to_a4a6_and_tors(a4, a6, tx, ty, b, c, p, pi);
292 2124795 : }
293 :
294 : INLINE void
295 537958 : E_general_X1(
296 : ulong *a4, ulong *a6, ulong *tx, ulong *ty,
297 : long ncurves, long m, ulong p, ulong pi)
298 : {
299 537958 : pari_sp av = avma;
300 537958 : const X1_info *X1 = get_X1_info(m);
301 : GEN r, r_, s, s_;
302 :
303 537952 : r_ = cgetg(ncurves + 1, t_VECSMALL); r = r_ + 1;
304 537932 : s_ = cgetg(ncurves + 1, t_VECSMALL); s = s_ + 1;
305 537899 : map_X1_points(r_, s_, X1, ncurves, p, pi);
306 :
307 538120 : switch (X1->map) {
308 538121 : case RS_MAP:
309 2248012 : while (ncurves--)
310 1709854 : rs_to_a4a6_and_tors(a4++, a6++, tx++, ty++, *r++, *s++, p, pi);
311 538158 : break;
312 0 : case T_MAP:
313 : {
314 0 : ulong inv3 = Fl_inv3(p), inv4 = Fl_inv4(p), inv9 = Fl_sqr_pre(inv3, p, pi);
315 0 : while (ncurves--)
316 0 : t_to_a4a6_and_tors(a4++,a6++, tx++,ty++, *r++,*s++, p, pi, inv3, inv4, inv9);
317 0 : break;
318 : }
319 0 : case TQ_MAP:
320 : {
321 0 : ulong inv3 = Fl_inv3(p);
322 0 : while (ncurves--)
323 0 : tq_to_a4a6_and_tors(a4++, a6++, tx++, ty++, *r++, *s++, p, pi, inv3);
324 0 : break;
325 : }
326 0 : case QT_MAP:
327 : {
328 0 : ulong c_12 = 12 % p, c_108 = 108 % p;
329 0 : while (ncurves--)
330 0 : qt_to_a4a6_and_tors(a4++,a6++, tx++,ty++, *r++,*s++, p, pi, c_12, c_108);
331 0 : break;
332 : }
333 : }
334 538157 : set_avma(av);
335 538154 : }
336 :
337 : INLINE void
338 108491 : E_11_torsion(
339 : ulong *a4, ulong *a6, ulong *tx, ulong *ty, long ncurves, ulong p, ulong pi)
340 : {
341 108491 : pari_sp av = avma;
342 108491 : const ulong A4 = Fl_neg(432 % p, p), A6 = 8208 % p;
343 108492 : const ulong c_6 = 6 % p, c_72 = 72 % p, c_108 = 108 % p;
344 108492 : const ulong inv216 = Fl_inv(216 % p, p);
345 :
346 523626 : while (ncurves)
347 : {
348 : GEN Q;
349 : ulong r, s, den;
350 :
351 : #if 0
352 : /* FIXME: it's faster to generate random points on the curve than to
353 : * compute random multiples of a point. Disabled for now. */
354 : /* Must guard against the possibility that [n]Q = 0 */
355 : do {
356 : /* FIXME: should perhaps use p + 1 + 2\sqrt{p} instead of p - 1 */
357 : n = random_Fl(m1) + 1; /* m1 = p - 1; */
358 : Q = Fle_mulu(P, n, A4, p);
359 : } while (ell_is_inf(Q));
360 : #endif
361 : /* FIXME: Thing is, if I'm going to do it this way *anyway*, I
362 : * might as well use the nonelliptic version of X1(11), since the
363 : * formulae are much nicer. */
364 415136 : Q = random_Fle_pre(A4, A6, p, pi);
365 :
366 : /* den = 6x + 72 */
367 415200 : den = Fl_addmul_pre(c_72, c_6, Q[1], p, pi);
368 415331 : if (den == 0) continue;
369 :
370 : /* r = (y + 108)/216, s = 1 + (y - 108)/(6x + 72) */
371 415139 : r = Fl_mul_pre(Fl_add(Q[2], c_108, p), inv216, p, pi);
372 415135 : if (r == 1) continue;
373 414984 : s = Fl_add(1, Fl_div(Fl_sub(Q[2], c_108, p), den, p), p);
374 414960 : if (s == 0) continue;
375 414922 : rs_to_a4a6_and_tors(a4, a6, tx, ty, r, s, p, pi);
376 414975 : if (!Fl_elldisc_pre(*a4, *a6, p, pi)) continue;
377 414601 : a4++; a6++; tx++; ty++; ncurves--;
378 : }
379 108490 : set_avma(av);
380 108487 : }
381 :
382 : INLINE void
383 3107 : E_2_torsion(
384 : ulong *a4, ulong *a6, ulong *tx, ulong *ty, long ncurves, ulong p, ulong pi)
385 : {
386 3107 : const ulong m1 = p - 1, inv3 = Fl_inv3(p);
387 51543 : while (ncurves) {
388 48436 : ulong A2 = random_Fl(m1) + 1; /* nonzero */
389 48436 : ulong A4 = random_Fl(m1) + 1; /* nonzero */
390 :
391 48436 : if (!Fl_sub(Fl_sqr_pre(A2, p, pi), Fl_mul4(A4, p), p)) continue;
392 48352 : a2a4_to_a4a6(a4++, a6++, A2, A4, inv3, p, pi);
393 : /* [0,0] is a 2-torsion point on y^2 = x(x^2 + a2x + a4) which
394 : * is mapped to [(1/3)a2, 0] on y^2 = x^3 + A4x + A6. */
395 48352 : *tx++ = Fl_mul_pre(inv3, A2, p, pi);
396 48352 : *ty++ = 0L; ncurves--;
397 : };
398 3107 : }
399 :
400 : INLINE void
401 2080 : E_3_torsion(
402 : ulong *a4, ulong *a6, ulong *tx, ulong *ty, long ncurves, ulong p, ulong pi)
403 : {
404 2080 : const ulong m1 = p - 1, _27 = 27 % p;
405 2080 : const ulong inv3 = Fl_inv3(p), inv4 = Fl_inv4(p);
406 2080 : const ulong inv9 = Fl_sqr_pre(inv3, p, pi);
407 :
408 22939 : while (ncurves) {
409 20859 : ulong a1 = random_Fl(m1) + 1; /* nonzero */
410 20859 : ulong a3 = random_Fl(m1) + 1; /* nonzero */
411 : /* a1^3 - 27 a3 != 0 */
412 41714 : if (Fl_mul_pre(a1, Fl_sqr_pre(a1, p, pi), p, pi)
413 20864 : == Fl_mul_pre(_27, a3, p, pi)) continue;
414 20848 : a1a3_to_a4a6(a4++, a6++, a1, a3, inv3, inv4, inv9, p, pi);
415 : /* [0,0] is a 3-torsion point on y^2 + a1xy + a3y = x^3 which
416 : * is mapped to [a1^2/12, a3/2] on y^2 = x^3 + a4x + a6. */
417 20851 : *tx++ = Fl_mul_pre(Fl_sqr_pre(Fl_halve(a1, p), p, pi), inv3, p, pi);
418 20851 : *ty++ = Fl_halve(a3, p); ncurves--;
419 : }
420 2080 : }
421 :
422 : INLINE void
423 1081 : E_4_torsion(
424 : ulong *a4, ulong *a6, ulong *tx, ulong *ty, long ncurves, ulong p, ulong pi)
425 : {
426 1081 : const ulong m1 = p - 1;
427 12383 : while (ncurves) {
428 11302 : ulong b = random_Fl(m1) + 1; /* nonzero */
429 11302 : if (Fl_mul4(Fl_mul4(b, p), p) == m1) continue; /* need b(16b+1) != 0 */
430 11257 : bc_to_a4a6_and_tors(a4++, a6++, tx++, ty++, b, 0L, p, pi);
431 11257 : ncurves--;
432 : }
433 1081 : }
434 :
435 : INLINE void
436 1314 : E_5_torsion(
437 : ulong *a4, ulong *a6, ulong *tx, ulong *ty, long ncurves, ulong p, ulong pi)
438 : {
439 1314 : const ulong m1 = p - 1, _11 = 11 % p;
440 16734 : while (ncurves) {
441 15421 : ulong b = random_Fl(m1) + 1; /* nonzero */
442 15422 : if (Fl_mul_pre(b, Fl_sub(b, _11, p), p, pi) == 1UL) continue;
443 15407 : bc_to_a4a6_and_tors(a4++, a6++, tx++, ty++, b, b, p, pi);
444 15408 : ncurves--;
445 : }
446 1313 : }
447 :
448 : INLINE void
449 725 : E_6_torsion(
450 : ulong *a4, ulong *a6, ulong *tx, ulong *ty, long ncurves, ulong p, ulong pi)
451 : {
452 725 : const ulong m2 = p - 2, _9 = 9 % p;
453 18229 : while (ncurves) {
454 17504 : ulong b, c = random_Fl(m2) + 1; /* in [1, p - 2] */
455 17504 : if (!Fl_add(Fl_mul_pre(c, _9, p, pi), 1, p)) continue;
456 17496 : b = Fl_add(c, Fl_sqr_pre(c, p, pi), p); /* b = c + c^2 */
457 17496 : bc_to_a4a6_and_tors(a4++, a6++, tx++, ty++, b, c, p, pi);
458 17496 : ncurves--;
459 : }
460 725 : }
461 :
462 : INLINE void
463 13871 : E_7_torsion(
464 : ulong *a4, ulong *a6, ulong *tx, ulong *ty, long ncurves, ulong p, ulong pi)
465 : {
466 13871 : const ulong m2 = p - 2, _7 = 7 % p;
467 76302 : while (ncurves) {
468 62429 : ulong d = random_Fl(m2) + 2; /* in [2, p - 1] */
469 62430 : ulong c = Fl_sub(Fl_sqr_pre(d, p, pi), d, p); /* c = d^2 - d */
470 62431 : ulong b = Fl_mul_pre(c, d, p, pi); /* b = d^3 - d^2 */
471 62433 : if (Fl_mul_pre(Fl_sub(d, _7, p), c, p, pi) == Fl_double(d, p) - 1)
472 11 : continue;
473 62420 : bc_to_a4a6_and_tors(a4++, a6++, tx++, ty++, b, c, p, pi);
474 62420 : ncurves--;
475 : }
476 13873 : }
477 :
478 : INLINE void
479 34920 : E_8_torsion(
480 : ulong *a4, ulong *a6, ulong *tx, ulong *ty, long ncurves, ulong p, ulong pi)
481 : {
482 34920 : const ulong m2 = p - 2;
483 195405 : while (ncurves) {
484 160485 : ulong b, c, d = random_Fl(m2) + 2; /* in [2, p - 1] */
485 160482 : b = Fl_sub(Fl_double(d, p), 1, p); /* 2d - 1 */
486 160478 : if (!b) continue;
487 : /* b = (2d - 1)(d - 1) */
488 160410 : b = Fl_mul_pre(b, Fl_sub(d, 1, p), p, pi);
489 : /* c = (2d - 1)(d - 1)/d */
490 160420 : c = Fl_div(b, d, p);
491 160409 : if (Fl_mul4(Fl_add(b, d, p), p) == 3) continue;
492 160356 : bc_to_a4a6_and_tors(a4++, a6++, tx++, ty++, b, c, p, pi);
493 160370 : ncurves--;
494 : }
495 34920 : }
496 :
497 : INLINE void
498 10735 : E_9_torsion(
499 : ulong *a4, ulong *a6, ulong *tx, ulong *ty, long ncurves, ulong p, ulong pi)
500 : {
501 10735 : const ulong m2 = p - 2;
502 42633 : while (ncurves) {
503 31894 : ulong b, c, d, f = random_Fl(m2) + 2; /* in [2, p - 1] */
504 : /* d = f^2 - f + 1 */
505 31897 : d = Fl_sub(Fl_sqr_pre(f, p, pi), Fl_sub(f, 1, p), p);
506 31898 : if (!d) continue;
507 : /* c = fd - f */
508 31865 : c = Fl_mul_pre(f, Fl_sub(d, 1, p), p, pi);
509 : /* b = cd */
510 31864 : b = Fl_mul_pre(c, d, p, pi);
511 : /* f^3 - 6*f^2 + 3*f + 1 != 0 */
512 31862 : if (!Fl_sub(Fl_sub(c, Fl_mul(5 % p, d, p), p),
513 31 : Fl_double(Fl_sub(f, 3, p), p ), p)) continue;
514 31831 : bc_to_a4a6_and_tors(a4++, a6++, tx++, ty++, b, c, p, pi);
515 31834 : ncurves--;
516 : }
517 10739 : }
518 :
519 : INLINE void
520 66546 : E_10_torsion(
521 : ulong *a4, ulong *a6, ulong *tx, ulong *ty, long ncurves, ulong p, ulong pi)
522 : {
523 66546 : const ulong m2 = p - 2;
524 335057 : while (ncurves) {
525 : ulong f, ff, f2, d, c, b, t;
526 268503 : f = random_Fl(m2) + 2; /* in [2, p - 1] */
527 : /* t = f - (f - 1)^2 = (3f - 1) - f^2 */
528 268503 : f2 = Fl_double(f, p);
529 268501 : t = Fl_sub(f2, 1, p); if (!t || Fl_mul_pre(f2, t, p, pi) == 1) continue;
530 268366 : ff = Fl_sqr_pre(f, p, pi);
531 268367 : t = Fl_sub(Fl_add(t, f, p), ff, p); if (!t) continue;
532 :
533 : /* d = f^2 / (f - (f - 1)^2) */
534 268286 : d = Fl_div(ff, t, p);
535 : /* c = fd - f */
536 268285 : c = Fl_mul_pre(f, Fl_sub(d, 1, p), p, pi);
537 : /* b = cd */
538 268287 : b = Fl_mul_pre(c, d, p, pi);
539 268259 : bc_to_a4a6_and_tors(a4++, a6++, tx++, ty++, b, c, p, pi);
540 268301 : ncurves--;
541 : }
542 66554 : }
543 :
544 : INLINE void
545 78946 : E_12_torsion(
546 : ulong *a4, ulong *a6, ulong *tx, ulong *ty, long ncurves, ulong p, ulong pi)
547 : {
548 78946 : const long m2 = p - 2;
549 353679 : while (ncurves) {
550 : ulong tau, t1, t2, M, f, d, c, b;
551 274714 : tau = random_Fl(m2) + 2; /* in [2, p - 1] */
552 : /* t1 = tau - 1 */
553 274706 : t1 = Fl_sub(tau, 1, p);
554 : /* M = (3 tau - 3 tau^2 - 1)/(tau - 1) = -(3 tau + 1/(tau - 1)) */
555 274705 : t2 = Fl_inv(t1, p);
556 274711 : M = Fl_neg(Fl_add(Fl_triple(tau, p), t2, p), p);
557 : /* (3 tau^2 - 3 tau + 1)(6 tau^2 - 6 tau + 1) = 0 */
558 274698 : if (!M || !Fl_add(Fl_double(M, p), t2, p)) continue;
559 : /* d = M + tau */
560 274574 : d = Fl_add(M, tau, p); if (!d || d == 1) continue;
561 : /* f = M/(1 - tau) = -M / (tau - 1) */
562 274434 : f = Fl_neg(Fl_mul_pre(M, t2, p, pi), p);
563 : /* c = fd - f */
564 274468 : c = Fl_mul_pre(f, Fl_sub(d, 1, p), p, pi);
565 : /* b = cd */
566 274457 : b = Fl_mul_pre(c, d, p, pi);
567 274443 : bc_to_a4a6_and_tors(a4++, a6++, tx++, ty++, b, c, p, pi);
568 274559 : ncurves--;
569 : }
570 78965 : }
571 :
572 : static void
573 1064 : E_any_torsion(
574 : ulong *a4, ulong *a6, ulong *px, ulong *py, long ncurves, ulong p, ulong pi)
575 : {
576 1064 : pari_sp av = avma;
577 1064 : ulong c_1728 = 1728 % p;
578 : long i;
579 94829 : for (i = 0; i < ncurves; i++)
580 : {
581 : GEN P;
582 : ulong j;
583 94112 : do j = random_Fl(p); while (j == 0 || j == c_1728);
584 93785 : Fl_ellj_to_a4a6(j, p, &a4[i], &a6[i]);
585 93733 : P = random_Fle_pre(a4[i], a6[i], p, pi);
586 93767 : px[i] = P[1];
587 93767 : py[i] = P[2]; set_avma(av);
588 : }
589 1064 : }
590 :
591 : /* Assume p < 2^62. Is there an n such that mn belongs to Hasse's interval? */
592 : INLINE long
593 858452 : torsion_compatible_with_characteristic(long m, ulong p)
594 : {
595 858452 : ulong u = usqrt(4*p);
596 858517 : return ceildivuu(p + 1 - u, m) <= (p + 1 + u) / m;
597 : }
598 :
599 : /* Input: pointers a4, a6, t{x,y} pointing to space for at least ncurves
600 : * elements; an integer 1 <= m <= LAST_X1_LEVEL; a prime p > 3.
601 : *
602 : * Output: Put the coefficients of ncurves elliptic curves with m-torsion into
603 : * a4 and a6. The actual number of unique curves is not guaranteed to be
604 : * ncurves, but will be close whenever p >> ncurves. (tx[i], ty[i])
605 : * is an m-torsion point on [a4[i], a6[i]]. */
606 : void
607 858381 : random_curves_with_m_torsion(
608 : ulong *a4, ulong *a6, ulong *tx, ulong *ty, long ncurves, long m, ulong p, ulong pi)
609 : {
610 858381 : if (ncurves == 0) return;
611 858381 : if (m < 1 || m > LAST_X1_LEVEL
612 858400 : || ! torsion_compatible_with_characteristic(m, p))
613 0 : pari_err_BUG("E_m_torsion");
614 859087 : switch (m) {
615 1064 : case 1: E_any_torsion(a4, a6, tx, ty, ncurves, p, pi); break;
616 3107 : case 2: E_2_torsion(a4, a6, tx, ty, ncurves, p, pi); break;
617 2080 : case 3: E_3_torsion(a4, a6, tx, ty, ncurves, p, pi); break;
618 1081 : case 4: E_4_torsion(a4, a6, tx, ty, ncurves, p, pi); break;
619 1314 : case 5: E_5_torsion(a4, a6, tx, ty, ncurves, p, pi); break;
620 725 : case 6: E_6_torsion(a4, a6, tx, ty, ncurves, p, pi); break;
621 13871 : case 7: E_7_torsion(a4, a6, tx, ty, ncurves, p, pi); break;
622 34920 : case 8: E_8_torsion(a4, a6, tx, ty, ncurves, p, pi); break;
623 10734 : case 9: E_9_torsion(a4, a6, tx, ty, ncurves, p, pi); break;
624 66546 : case 10: E_10_torsion(a4, a6, tx, ty, ncurves, p, pi); break;
625 108490 : case 11: E_11_torsion(a4, a6, tx, ty, ncurves, p, pi); break;
626 78947 : case 12: E_12_torsion(a4, a6, tx, ty, ncurves, p, pi); break;
627 536208 : default:
628 536208 : E_general_X1(a4, a6, tx, ty, ncurves, m, p, pi);
629 2241396 : while (ncurves--) {
630 1707622 : while (!Fl_elldisc_pre(*a4, *a6, p, pi)) /* rare */
631 1690 : E_general_X1(a4, a6, tx, ty, 1L, m, p, pi);
632 1704970 : a4++; a6++; tx++; ty++;
633 : }
634 : }
635 :
636 : }
637 :
638 : #define vZ evalvarn(1) /* variable number for secondary variable */
639 : static const long FLX_0[3] = { evaltyp(t_VECSMALL) | _evallg(2), vZ };
640 : static const long FLX_1[3] = { evaltyp(t_VECSMALL) | _evallg(3), vZ, 1 };
641 : static const long FLX_m1[3] = { evaltyp(t_VECSMALL) | _evallg(3), vZ, -1 };
642 : static const long FLX_Z[4] = { evaltyp(t_VECSMALL) | _evallg(4), vZ, 0, 1 };
643 : static const long FLX_mZ[4] = { evaltyp(t_VECSMALL) | _evallg(4), vZ, 0, -1 };
644 :
645 : /*
646 : * X1 Curves database follows!
647 : */
648 :
649 : /* x^2 + (z^3 + z^2 + 1)*x + (-z^2 - z) */
650 : static const long X1_13_crv_0[5] = {
651 : evaltyp(t_VECSMALL) | _evallg(5), vZ, 0, -1, -1 }; /* -z^2 - z */
652 : static const long X1_13_crv_1[6] = {
653 : evaltyp(t_VECSMALL) | _evallg(6), vZ, 1, 0, 1, 1 }; /* z^3 + z^2 + 1 */
654 : static const long *X1_13_crv[5] = {
655 : (long *)(evaltyp(t_POL) | _evallg(5)), (long *)(evalvarn(0) | evalsigne(1)),
656 : X1_13_crv_0, X1_13_crv_1, FLX_1
657 : };
658 : /* -z*x + 1 */
659 : static const long *X1_13_r_n[4] = {
660 : (long *)(evaltyp(t_POL) | _evallg(4)), (long *)(evalvarn(0) | evalsigne(1)),
661 : FLX_1, FLX_mZ
662 : };
663 : /* 1 */
664 : static const long *X1_13_r_d[3] = {
665 : (long *)(evaltyp(t_POL) | _evallg(3)), (long *)(evalvarn(0) | evalsigne(1)),
666 : FLX_1
667 : };
668 : /* -z*x */
669 : static const long *X1_13_s_n[4] = {
670 : (long *)(evaltyp(t_POL) | _evallg(4)), (long *)(evalvarn(0) | evalsigne(1)),
671 : FLX_0, FLX_mZ
672 : };
673 : /* x + 1 */
674 : static const long *X1_13_s_d[4] = {
675 : (long *)(evaltyp(t_POL) | _evallg(4)), (long *)(evalvarn(0) | evalsigne(1)),
676 : FLX_1, FLX_1
677 : };
678 : /* x^2 + (z^2 + z)*x + z */
679 : static const long X1_14_crv_1[5] = {
680 : evaltyp(t_VECSMALL) | _evallg(5), vZ, 0, 1, 1 }; /* z^2 + z */
681 : static const long *X1_14_crv[5] = {
682 : (long *)(evaltyp(t_POL) | _evallg(5)), (long *)(evalvarn(0) | evalsigne(1)),
683 : FLX_Z, X1_14_crv_1, FLX_1
684 : };
685 : /* -x - z */
686 : static const long *X1_14_r_n[4] = {
687 : (long *)(evaltyp(t_POL) | _evallg(4)), (long *)(evalvarn(0) | evalsigne(1)),
688 : FLX_mZ, FLX_m1
689 : };
690 : /* x^2 + (z + 2)*x + (z + 1) */
691 : static const long X1_14_r_d_0[4] = {
692 : evaltyp(t_VECSMALL) | _evallg(4), vZ, 1, 1 }; /* z + 1 */
693 : static const long X1_14_r_d_1[4] = {
694 : evaltyp(t_VECSMALL) | _evallg(4), vZ, 2, 1 }; /* z + 2 */
695 : static const long *X1_14_r_d[5] = {
696 : (long *)(evaltyp(t_POL) | _evallg(5)), (long *)(evalvarn(0) | evalsigne(1)),
697 : X1_14_r_d_0, X1_14_r_d_1, FLX_1
698 : };
699 : /* (-z + 1) */
700 : static const long X1_14_s_n_0[4] = {
701 : evaltyp(t_VECSMALL) | _evallg(4), vZ, 1, -1 }; /* -z + 1 */
702 : static const long *X1_14_s_n[3] = {
703 : (long *)(evaltyp(t_POL) | _evallg(3)), (long *)(evalvarn(0) | evalsigne(1)),
704 : X1_14_s_n_0
705 : };
706 : /* x + 1 */
707 : static const long *X1_14_s_d[4] = {
708 : (long *)(evaltyp(t_POL) | _evallg(4)), (long *)(evalvarn(0) | evalsigne(1)),
709 : FLX_1, FLX_1
710 : };
711 : /* x^2 + (z^2 + z + 1)*x + z^2 */
712 : static const long X1_15_crv_0[5] = {
713 : evaltyp(t_VECSMALL) | _evallg(5), vZ, 0, 0, 1 }; /* z^2 */
714 : static const long X1_15_crv_1[5] = {
715 : evaltyp(t_VECSMALL) | _evallg(5), vZ, 1, 1, 1 }; /* z^2 + z + 1 */
716 : static const long *X1_15_crv[5] = {
717 : (long *)(evaltyp(t_POL) | _evallg(5)), (long *)(evalvarn(0) | evalsigne(1)),
718 : X1_15_crv_0, X1_15_crv_1, FLX_1
719 : };
720 : /* x^2 + z*x */
721 : static const long *X1_15_r_n[5] = {
722 : (long *)(evaltyp(t_POL) | _evallg(5)), (long *)(evalvarn(0) | evalsigne(1)),
723 : FLX_0, FLX_Z, FLX_1
724 : };
725 : /* z^2*x + (z^3 + z^2) */
726 : static const long X1_15_r_d_0[6] = {
727 : evaltyp(t_VECSMALL) | _evallg(6), vZ, 0, 0, 1, 1 }; /* z^3 + z^2 */
728 : static const long X1_15_r_d_1[5] = {
729 : evaltyp(t_VECSMALL) | _evallg(5), vZ, 0, 0, 1 }; /* z^2 */
730 : static const long *X1_15_r_d[4] = {
731 : (long *)(evaltyp(t_POL) | _evallg(4)), (long *)(evalvarn(0) | evalsigne(1)),
732 : X1_15_r_d_0, X1_15_r_d_1
733 : };
734 : /* x */
735 : static const long *X1_15_s_n[4] = {
736 : (long *)(evaltyp(t_POL) | _evallg(4)), (long *)(evalvarn(0) | evalsigne(1)),
737 : FLX_0, FLX_1
738 : };
739 : /* (z^2 + z) */
740 : static const long X1_15_s_d_0[5] = {
741 : evaltyp(t_VECSMALL) | _evallg(5), vZ, 0, 1, 1 }; /* z^2 + z */
742 : static const long *X1_15_s_d[3] = {
743 : (long *)(evaltyp(t_POL) | _evallg(3)), (long *)(evalvarn(0) | evalsigne(1)),
744 : X1_15_s_d_0
745 : };
746 : /* x^2 + (z^3 + z^2 - z + 1)*x + z^2 */
747 : static const long X1_16_crv_0[5] = {
748 : evaltyp(t_VECSMALL) | _evallg(5), vZ, 0, 0, 1 }; /* z^2 */
749 : static const long X1_16_crv_1[6] = {
750 : evaltyp(t_VECSMALL) | _evallg(6), vZ, 1, -1, 1, 1 }; /* z^3 + z^2 - z + 1 */
751 : static const long *X1_16_crv[5] = {
752 : (long *)(evaltyp(t_POL) | _evallg(5)), (long *)(evalvarn(0) | evalsigne(1)),
753 : X1_16_crv_0, X1_16_crv_1, FLX_1
754 : };
755 : /* x^2 + (-z + 1)*x + z^2 */
756 : static const long X1_16_r_n_0[5] = {
757 : evaltyp(t_VECSMALL) | _evallg(5), vZ, 0, 0, 1 }; /* z^2 */
758 : static const long X1_16_r_n_1[4] = {
759 : evaltyp(t_VECSMALL) | _evallg(4), vZ, 1, -1 }; /* -z + 1 */
760 : static const long *X1_16_r_n[5] = {
761 : (long *)(evaltyp(t_POL) | _evallg(5)), (long *)(evalvarn(0) | evalsigne(1)),
762 : X1_16_r_n_0, X1_16_r_n_1, FLX_1
763 : };
764 : /* -x + (z^2 + z - 1) */
765 : static const long X1_16_r_d_0[5] = {
766 : evaltyp(t_VECSMALL) | _evallg(5), vZ, -1, 1, 1 }; /* z^2 + z - 1 */
767 : static const long *X1_16_r_d[4] = {
768 : (long *)(evaltyp(t_POL) | _evallg(4)), (long *)(evalvarn(0) | evalsigne(1)),
769 : X1_16_r_d_0, FLX_m1
770 : };
771 : /* -x + z */
772 : static const long *X1_16_s_n[4] = {
773 : (long *)(evaltyp(t_POL) | _evallg(4)), (long *)(evalvarn(0) | evalsigne(1)),
774 : FLX_Z, FLX_m1
775 : };
776 : /* (z + 1) */
777 : static const long X1_16_s_d_0[4] = {
778 : evaltyp(t_VECSMALL) | _evallg(4), vZ, 1, 1 }; /* z + 1 */
779 : static const long *X1_16_s_d[3] = {
780 : (long *)(evaltyp(t_POL) | _evallg(3)), (long *)(evalvarn(0) | evalsigne(1)),
781 : X1_16_s_d_0
782 : };
783 : /* x^4 + (z^3 + z^2 - z + 2)*x^3 + (z^3 - 3*z + 1)*x^2 + (-z^4 - 2*z)*x + (z^3 + z^2) */
784 : static const long X1_17_crv_0[6] = {
785 : evaltyp(t_VECSMALL) | _evallg(6), vZ, 0, 0, 1, 1 }; /* z^3 + z^2 */
786 : static const long X1_17_crv_1[7] = {
787 : evaltyp(t_VECSMALL) | _evallg(7), vZ, 0, -2, 0, 0, -1 }; /* -z^4 - 2*z */
788 : static const long X1_17_crv_2[6] = {
789 : evaltyp(t_VECSMALL) | _evallg(6), vZ, 1, -3, 0, 1 }; /* z^3 - 3*z + 1 */
790 : static const long X1_17_crv_3[6] = {
791 : evaltyp(t_VECSMALL) | _evallg(6), vZ, 2, -1, 1, 1 }; /* z^3 + z^2 - z + 2 */
792 : static const long *X1_17_crv[7] = {
793 : (long *)(evaltyp(t_POL) | _evallg(7)), (long *)(evalvarn(0) | evalsigne(1)),
794 : X1_17_crv_0, X1_17_crv_1, X1_17_crv_2, X1_17_crv_3, FLX_1
795 : };
796 : /* -x + (z^2 + z) */
797 : static const long X1_17_r_n_0[5] = {
798 : evaltyp(t_VECSMALL) | _evallg(5), vZ, 0, 1, 1 }; /* z^2 + z */
799 : static const long *X1_17_r_n[4] = {
800 : (long *)(evaltyp(t_POL) | _evallg(4)), (long *)(evalvarn(0) | evalsigne(1)),
801 : X1_17_r_n_0, FLX_m1
802 : };
803 : /* -x^2 + (z - 1)*x + (z^2 + z) */
804 : static const long X1_17_r_d_0[5] = {
805 : evaltyp(t_VECSMALL) | _evallg(5), vZ, 0, 1, 1 }; /* z^2 + z */
806 : static const long X1_17_r_d_1[4] = {
807 : evaltyp(t_VECSMALL) | _evallg(4), vZ, -1, 1 }; /* z - 1 */
808 : static const long *X1_17_r_d[5] = {
809 : (long *)(evaltyp(t_POL) | _evallg(5)), (long *)(evalvarn(0) | evalsigne(1)),
810 : X1_17_r_d_0, X1_17_r_d_1, FLX_m1
811 : };
812 : /* (z + 1) */
813 : static const long X1_17_s_n_0[4] = {
814 : evaltyp(t_VECSMALL) | _evallg(4), vZ, 1, 1 }; /* z + 1 */
815 : static const long *X1_17_s_n[3] = {
816 : (long *)(evaltyp(t_POL) | _evallg(3)), (long *)(evalvarn(0) | evalsigne(1)),
817 : X1_17_s_n_0
818 : };
819 : /* x + (z + 1) */
820 : static const long X1_17_s_d_0[4] = {
821 : evaltyp(t_VECSMALL) | _evallg(4), vZ, 1, 1 }; /* z + 1 */
822 : static const long *X1_17_s_d[4] = {
823 : (long *)(evaltyp(t_POL) | _evallg(4)), (long *)(evalvarn(0) | evalsigne(1)),
824 : X1_17_s_d_0, FLX_1
825 : };
826 : /* x^2 + (z^3 - 2*z^2 + 3*z + 1)*x + 2*z */
827 : static const long X1_18_crv_0[4] = {
828 : evaltyp(t_VECSMALL) | _evallg(4), vZ, 0, 2 }; /* 2*z */
829 : static const long X1_18_crv_1[6] = {
830 : evaltyp(t_VECSMALL) | _evallg(6), vZ, 1, 3, -2, 1 }; /* z^3 - 2*z^2 + 3*z + 1 */
831 : static const long *X1_18_crv[5] = {
832 : (long *)(evaltyp(t_POL) | _evallg(5)), (long *)(evalvarn(0) | evalsigne(1)),
833 : X1_18_crv_0, X1_18_crv_1, FLX_1
834 : };
835 : /* -z*x + (z^2 - 3*z + 1) */
836 : static const long X1_18_r_n_0[5] = {
837 : evaltyp(t_VECSMALL) | _evallg(5), vZ, 1, -3, 1 }; /* z^2 - 3*z + 1 */
838 : static const long *X1_18_r_n[4] = {
839 : (long *)(evaltyp(t_POL) | _evallg(4)), (long *)(evalvarn(0) | evalsigne(1)),
840 : X1_18_r_n_0, FLX_mZ
841 : };
842 : /* (z^3 - 2*z^2 + z)*x + (z^2 - 2*z + 1) */
843 : static const long X1_18_r_d_0[5] = {
844 : evaltyp(t_VECSMALL) | _evallg(5), vZ, 1, -2, 1 }; /* z^2 - 2*z + 1 */
845 : static const long X1_18_r_d_1[6] = {
846 : evaltyp(t_VECSMALL) | _evallg(6), vZ, 0, 1, -2, 1 }; /* z^3 - 2*z^2 + z */
847 : static const long *X1_18_r_d[4] = {
848 : (long *)(evaltyp(t_POL) | _evallg(4)), (long *)(evalvarn(0) | evalsigne(1)),
849 : X1_18_r_d_0, X1_18_r_d_1
850 : };
851 : /* -x + (z^2 - 2*z) */
852 : static const long X1_18_s_n_0[5] = {
853 : evaltyp(t_VECSMALL) | _evallg(5), vZ, 0, -2, 1 }; /* z^2 - 2*z */
854 : static const long *X1_18_s_n[4] = {
855 : (long *)(evaltyp(t_POL) | _evallg(4)), (long *)(evalvarn(0) | evalsigne(1)),
856 : X1_18_s_n_0, FLX_m1
857 : };
858 : /* -x^2 + (-z - 2)*x + (z^2 - 3*z) */
859 : static const long X1_18_s_d_0[5] = {
860 : evaltyp(t_VECSMALL) | _evallg(5), vZ, 0, -3, 1 }; /* z^2 - 3*z */
861 : static const long X1_18_s_d_1[4] = {
862 : evaltyp(t_VECSMALL) | _evallg(4), vZ, -2, -1 }; /* -z - 2 */
863 : static const long *X1_18_s_d[5] = {
864 : (long *)(evaltyp(t_POL) | _evallg(5)), (long *)(evalvarn(0) | evalsigne(1)),
865 : X1_18_s_d_0, X1_18_s_d_1, FLX_m1
866 : };
867 : /* x^5 + (-z^2 - 2)*x^4 + (-2*z^3 - 2*z^2 - 2*z + 1)*x^3 + (z^5 + 3*z^4 + 7*z^3 + 6*z^2 + 2*z)*x^2 + (-z^5 - 2*z^4 - 4*z^3 - 3*z^2)*x + (z^3 + z^2) */
868 : static const long X1_19_crv_0[6] = {
869 : evaltyp(t_VECSMALL) | _evallg(6), vZ, 0, 0, 1, 1 }; /* z^3 + z^2 */
870 : static const long X1_19_crv_1[8] = {
871 : evaltyp(t_VECSMALL) | _evallg(8), vZ, 0, 0, -3, -4, -2, -1 }; /* -z^5 - 2*z^4 - 4*z^3 - 3*z^2 */
872 : static const long X1_19_crv_2[8] = {
873 : evaltyp(t_VECSMALL) | _evallg(8), vZ, 0, 2, 6, 7, 3, 1 }; /* z^5 + 3*z^4 + 7*z^3 + 6*z^2 + 2*z */
874 : static const long X1_19_crv_3[6] = {
875 : evaltyp(t_VECSMALL) | _evallg(6), vZ, 1, -2, -2, -2 }; /* -2*z^3 - 2*z^2 - 2*z + 1 */
876 : static const long X1_19_crv_4[5] = {
877 : evaltyp(t_VECSMALL) | _evallg(5), vZ, -2, 0, -1 }; /* -z^2 - 2 */
878 : static const long *X1_19_crv[8] = {
879 : (long *)(evaltyp(t_POL) | _evallg(8)), (long *)(evalvarn(0) | evalsigne(1)),
880 : X1_19_crv_0, X1_19_crv_1, X1_19_crv_2, X1_19_crv_3, X1_19_crv_4, FLX_1
881 : };
882 : /* z*x^2 + (z^2 - z)*x - z^2 */
883 : static const long X1_19_r_n_0[5] = {
884 : evaltyp(t_VECSMALL) | _evallg(5), vZ, 0, 0, -1 }; /* -z^2 */
885 : static const long X1_19_r_n_1[5] = {
886 : evaltyp(t_VECSMALL) | _evallg(5), vZ, 0, -1, 1 }; /* z^2 - z */
887 : static const long *X1_19_r_n[5] = {
888 : (long *)(evaltyp(t_POL) | _evallg(5)), (long *)(evalvarn(0) | evalsigne(1)),
889 : X1_19_r_n_0, X1_19_r_n_1, FLX_Z
890 : };
891 : /* (-z - 1)*x^2 + (-z^2 + 1)*x + (z^3 + 3*z^2 + 2*z) */
892 : static const long X1_19_r_d_0[6] = {
893 : evaltyp(t_VECSMALL) | _evallg(6), vZ, 0, 2, 3, 1 }; /* z^3 + 3*z^2 + 2*z */
894 : static const long X1_19_r_d_1[5] = {
895 : evaltyp(t_VECSMALL) | _evallg(5), vZ, 1, 0, -1 }; /* -z^2 + 1 */
896 : static const long X1_19_r_d_2[4] = {
897 : evaltyp(t_VECSMALL) | _evallg(4), vZ, -1, -1 }; /* -z - 1 */
898 : static const long *X1_19_r_d[5] = {
899 : (long *)(evaltyp(t_POL) | _evallg(5)), (long *)(evalvarn(0) | evalsigne(1)),
900 : X1_19_r_d_0, X1_19_r_d_1, X1_19_r_d_2
901 : };
902 : /* z*x - z */
903 : static const long *X1_19_s_n[4] = {
904 : (long *)(evaltyp(t_POL) | _evallg(4)), (long *)(evalvarn(0) | evalsigne(1)),
905 : FLX_mZ, FLX_Z
906 : };
907 : /* (-z - 1)*x + (z^2 + 2*z + 1) */
908 : static const long X1_19_s_d_0[5] = {
909 : evaltyp(t_VECSMALL) | _evallg(5), vZ, 1, 2, 1 }; /* z^2 + 2*z + 1 */
910 : static const long X1_19_s_d_1[4] = {
911 : evaltyp(t_VECSMALL) | _evallg(4), vZ, -1, -1 }; /* -z - 1 */
912 : static const long *X1_19_s_d[4] = {
913 : (long *)(evaltyp(t_POL) | _evallg(4)), (long *)(evalvarn(0) | evalsigne(1)),
914 : X1_19_s_d_0, X1_19_s_d_1
915 : };
916 : /* x^3 - z^3*x^2 - z^2*x + z */
917 : static const long X1_20_crv_1[5] = {
918 : evaltyp(t_VECSMALL) | _evallg(5), vZ, 0, 0, -1 }; /* -z^2 */
919 : static const long X1_20_crv_2[6] = {
920 : evaltyp(t_VECSMALL) | _evallg(6), vZ, 0, 0, 0, -1 }; /* -z^3 */
921 : static const long *X1_20_crv[6] = {
922 : (long *)(evaltyp(t_POL) | _evallg(6)), (long *)(evalvarn(0) | evalsigne(1)),
923 : FLX_Z, X1_20_crv_1, X1_20_crv_2, FLX_1
924 : };
925 : /* -x + z */
926 : static const long *X1_20_r_n[4] = {
927 : (long *)(evaltyp(t_POL) | _evallg(4)), (long *)(evalvarn(0) | evalsigne(1)),
928 : FLX_Z, FLX_m1
929 : };
930 : /* z*x - 1 */
931 : static const long *X1_20_r_d[4] = {
932 : (long *)(evaltyp(t_POL) | _evallg(4)), (long *)(evalvarn(0) | evalsigne(1)),
933 : FLX_m1, FLX_Z
934 : };
935 : /* 4*z^3*x^3 + (-4*z^4 - 8*z^2)*x^2 + (8*z^3 + 4*z)*x - 4*z^2 */
936 : static const long X1_20_s_n_0[5] = {
937 : evaltyp(t_VECSMALL) | _evallg(5), vZ, 0, 0, -4 }; /* -4*z^2 */
938 : static const long X1_20_s_n_1[6] = {
939 : evaltyp(t_VECSMALL) | _evallg(6), vZ, 0, 4, 0, 8 }; /* 8*z^3 + 4*z */
940 : static const long X1_20_s_n_2[7] = {
941 : evaltyp(t_VECSMALL) | _evallg(7), vZ, 0, 0, -8, 0, -4 }; /* -4*z^4 - 8*z^2 */
942 : static const long X1_20_s_n_3[6] = {
943 : evaltyp(t_VECSMALL) | _evallg(6), vZ, 0, 0, 0, 4 }; /* 4*z^3 */
944 : static const long *X1_20_s_n[6] = {
945 : (long *)(evaltyp(t_POL) | _evallg(6)), (long *)(evalvarn(0) | evalsigne(1)),
946 : X1_20_s_n_0, X1_20_s_n_1, X1_20_s_n_2, X1_20_s_n_3
947 : };
948 : /* (z^4 + 4*z^2 - 1)*x^3 + (-10*z^3 - 2*z)*x^2 + (3*z^4 + 8*z^2 + 1)*x + (-2*z^3 - 2*z) */
949 : static const long X1_20_s_d_0[6] = {
950 : evaltyp(t_VECSMALL) | _evallg(6), vZ, 0, -2, 0, -2 }; /* -2*z^3 - 2*z */
951 : static const long X1_20_s_d_1[7] = {
952 : evaltyp(t_VECSMALL) | _evallg(7), vZ, 1, 0, 8, 0, 3 }; /* 3*z^4 + 8*z^2 + 1 */
953 : static const long X1_20_s_d_2[6] = {
954 : evaltyp(t_VECSMALL) | _evallg(6), vZ, 0, -2, 0, -10 }; /* -10*z^3 - 2*z */
955 : static const long X1_20_s_d_3[7] = {
956 : evaltyp(t_VECSMALL) | _evallg(7), vZ, -1, 0, 4, 0, 1 }; /* z^4 + 4*z^2 - 1 */
957 : static const long *X1_20_s_d[6] = {
958 : (long *)(evaltyp(t_POL) | _evallg(6)), (long *)(evalvarn(0) | evalsigne(1)),
959 : X1_20_s_d_0, X1_20_s_d_1, X1_20_s_d_2, X1_20_s_d_3
960 : };
961 : /* x^4 + (3*z^2 + 1)*x^3 + (z^5 + z^4 + 2*z^2 + 2*z)*x^2 + (2*z^4 + z^3 + z)*x + z^3 */
962 : static const long X1_21_crv_0[6] = {
963 : evaltyp(t_VECSMALL) | _evallg(6), vZ, 0, 0, 0, 1 }; /* z^3 */
964 : static const long X1_21_crv_1[7] = {
965 : evaltyp(t_VECSMALL) | _evallg(7), vZ, 0, 1, 0, 1, 2 }; /* 2*z^4 + z^3 + z */
966 : static const long X1_21_crv_2[8] = {
967 : evaltyp(t_VECSMALL) | _evallg(8), vZ, 0, 2, 2, 0, 1, 1 }; /* z^5 + z^4 + 2*z^2 + 2*z */
968 : static const long X1_21_crv_3[5] = {
969 : evaltyp(t_VECSMALL) | _evallg(5), vZ, 1, 0, 3 }; /* 3*z^2 + 1 */
970 : static const long *X1_21_crv[7] = {
971 : (long *)(evaltyp(t_POL) | _evallg(7)), (long *)(evalvarn(0) | evalsigne(1)),
972 : X1_21_crv_0, X1_21_crv_1, X1_21_crv_2, X1_21_crv_3, FLX_1
973 : };
974 : /* (z + 1)*x^3 + (z + 2)*x^2 + x */
975 : static const long X1_21_r_n_2[4] = {
976 : evaltyp(t_VECSMALL) | _evallg(4), vZ, 2, 1 }; /* z + 2 */
977 : static const long X1_21_r_n_3[4] = {
978 : evaltyp(t_VECSMALL) | _evallg(4), vZ, 1, 1 }; /* z + 1 */
979 : static const long *X1_21_r_n[6] = {
980 : (long *)(evaltyp(t_POL) | _evallg(6)), (long *)(evalvarn(0) | evalsigne(1)),
981 : FLX_0, FLX_1, X1_21_r_n_2, X1_21_r_n_3
982 : };
983 : /* -z*x^3 + (z^2 - 1)*x^2 + 2*z*x + 1 */
984 : static const long X1_21_r_d_1[4] = {
985 : evaltyp(t_VECSMALL) | _evallg(4), vZ, 0, 2 }; /* 2*z */
986 : static const long X1_21_r_d_2[5] = {
987 : evaltyp(t_VECSMALL) | _evallg(5), vZ, -1, 0, 1 }; /* z^2 - 1 */
988 : static const long *X1_21_r_d[6] = {
989 : (long *)(evaltyp(t_POL) | _evallg(6)), (long *)(evalvarn(0) | evalsigne(1)),
990 : FLX_1, X1_21_r_d_1, X1_21_r_d_2, FLX_mZ
991 : };
992 : /* x^2 + x */
993 : static const long *X1_21_s_n[5] = {
994 : (long *)(evaltyp(t_POL) | _evallg(5)), (long *)(evalvarn(0) | evalsigne(1)),
995 : FLX_0, FLX_1, FLX_1
996 : };
997 : /* z*x + 1 */
998 : static const long *X1_21_s_d[4] = {
999 : (long *)(evaltyp(t_POL) | _evallg(4)), (long *)(evalvarn(0) | evalsigne(1)),
1000 : FLX_1, FLX_Z
1001 : };
1002 : /* x^4 + (z^3 + 2*z^2 + z + 2)*x^3 + (z^5 + z^4 + 2*z^3 + 2*z^2 + 1)*x^2 + (z^5 - z^4 - 2*z^3 - z^2 - z)*x + (-z^4 - z^3) */
1003 : static const long X1_22_crv_0[7] = {
1004 : evaltyp(t_VECSMALL) | _evallg(7), vZ, 0, 0, 0, -1, -1 }; /* -z^4 - z^3 */
1005 : static const long X1_22_crv_1[8] = {
1006 : evaltyp(t_VECSMALL) | _evallg(8), vZ, 0, -1, -1, -2, -1, 1 }; /* z^5 - z^4 - 2*z^3 - z^2 - z */
1007 : static const long X1_22_crv_2[8] = {
1008 : evaltyp(t_VECSMALL) | _evallg(8), vZ, 1, 0, 2, 2, 1, 1 }; /* z^5 + z^4 + 2*z^3 + 2*z^2 + 1 */
1009 : static const long X1_22_crv_3[6] = {
1010 : evaltyp(t_VECSMALL) | _evallg(6), vZ, 2, 1, 2, 1 }; /* z^3 + 2*z^2 + z + 2 */
1011 : static const long *X1_22_crv[7] = {
1012 : (long *)(evaltyp(t_POL) | _evallg(7)), (long *)(evalvarn(0) | evalsigne(1)),
1013 : X1_22_crv_0, X1_22_crv_1, X1_22_crv_2, X1_22_crv_3, FLX_1
1014 : };
1015 : /* (z^2 + z + 1)*x + z^2 */
1016 : static const long X1_22_r_n_0[5] = {
1017 : evaltyp(t_VECSMALL) | _evallg(5), vZ, 0, 0, 1 }; /* z^2 */
1018 : static const long X1_22_r_n_1[5] = {
1019 : evaltyp(t_VECSMALL) | _evallg(5), vZ, 1, 1, 1 }; /* z^2 + z + 1 */
1020 : static const long *X1_22_r_n[4] = {
1021 : (long *)(evaltyp(t_POL) | _evallg(4)), (long *)(evalvarn(0) | evalsigne(1)),
1022 : X1_22_r_n_0, X1_22_r_n_1
1023 : };
1024 : /* x + (z^3 + 2*z^2) */
1025 : static const long X1_22_r_d_0[6] = {
1026 : evaltyp(t_VECSMALL) | _evallg(6), vZ, 0, 0, 2, 1 }; /* z^3 + 2*z^2 */
1027 : static const long *X1_22_r_d[4] = {
1028 : (long *)(evaltyp(t_POL) | _evallg(4)), (long *)(evalvarn(0) | evalsigne(1)),
1029 : X1_22_r_d_0, FLX_1
1030 : };
1031 : /* (z + 1)*x */
1032 : static const long X1_22_s_n_1[4] = {
1033 : evaltyp(t_VECSMALL) | _evallg(4), vZ, 1, 1 }; /* z + 1 */
1034 : static const long *X1_22_s_n[4] = {
1035 : (long *)(evaltyp(t_POL) | _evallg(4)), (long *)(evalvarn(0) | evalsigne(1)),
1036 : FLX_0, X1_22_s_n_1
1037 : };
1038 : /* x + z^2 */
1039 : static const long X1_22_s_d_0[5] = {
1040 : evaltyp(t_VECSMALL) | _evallg(5), vZ, 0, 0, 1 }; /* z^2 */
1041 : static const long *X1_22_s_d[4] = {
1042 : (long *)(evaltyp(t_POL) | _evallg(4)), (long *)(evalvarn(0) | evalsigne(1)),
1043 : X1_22_s_d_0, FLX_1
1044 : };
1045 : /* x^7 + (z^5 - z^4 + z^3 + 4*z^2 + 3)*x^6 + (z^7 + 3*z^5 + z^4 + 5*z^3 + 7*z^2 - 4*z + 3)*x^5 + (2*z^7 + 3*z^5 - z^4 - 2*z^3 - z^2 - 8*z + 1)*x^4 + (z^7 - 4*z^6 - 5*z^5 - 6*z^4 - 6*z^3 - 2*z^2 - 3*z)*x^3 + (-3*z^6 + 5*z^4 + 3*z^3 + 3*z^2 + 2*z)*x^2 + (3*z^5 + 4*z^4 + z)*x + (-z^4 - 2*z^3 - z^2) */
1046 : static const long X1_23_crv_0[7] = {
1047 : evaltyp(t_VECSMALL) | _evallg(7), vZ, 0, 0, -1, -2, -1 }; /* -z^4 - 2*z^3 - z^2 */
1048 : static const long X1_23_crv_1[8] = {
1049 : evaltyp(t_VECSMALL) | _evallg(8), vZ, 0, 1, 0, 0, 4, 3 }; /* 3*z^5 + 4*z^4 + z */
1050 : static const long X1_23_crv_2[9] = {
1051 : evaltyp(t_VECSMALL) | _evallg(9), vZ, 0, 2, 3, 3, 5, 0, -3 }; /* -3*z^6 + 5*z^4 + 3*z^3 + 3*z^2 + 2*z */
1052 : static const long X1_23_crv_3[10] = {
1053 : evaltyp(t_VECSMALL) | _evallg(10), vZ, 0, -3, -2, -6, -6, -5, -4, 1 }; /* z^7 - 4*z^6 - 5*z^5 - 6*z^4 - 6*z^3 - 2*z^2 - 3*z */
1054 : static const long X1_23_crv_4[10] = {
1055 : evaltyp(t_VECSMALL) | _evallg(10), vZ, 1, -8, -1, -2, -1, 3, 0, 2 }; /* 2*z^7 + 3*z^5 - z^4 - 2*z^3 - z^2 - 8*z + 1 */
1056 : static const long X1_23_crv_5[10] = {
1057 : evaltyp(t_VECSMALL) | _evallg(10), vZ, 3, -4, 7, 5, 1, 3, 0, 1 }; /* z^7 + 3*z^5 + z^4 + 5*z^3 + 7*z^2 - 4*z + 3 */
1058 : static const long X1_23_crv_6[8] = {
1059 : evaltyp(t_VECSMALL) | _evallg(8), vZ, 3, 0, 4, 1, -1, 1 }; /* z^5 - z^4 + z^3 + 4*z^2 + 3 */
1060 : static const long *X1_23_crv[10] = {
1061 : (long *)(evaltyp(t_POL) | _evallg(10)), (long *)(evalvarn(0) | evalsigne(1)),
1062 : X1_23_crv_0, X1_23_crv_1, X1_23_crv_2, X1_23_crv_3, X1_23_crv_4, X1_23_crv_5, X1_23_crv_6, FLX_1
1063 : };
1064 : /* x + (z^2 + z + 1) */
1065 : static const long X1_23_r_n_0[5] = {
1066 : evaltyp(t_VECSMALL) | _evallg(5), vZ, 1, 1, 1 }; /* z^2 + z + 1 */
1067 : static const long *X1_23_r_n[4] = {
1068 : (long *)(evaltyp(t_POL) | _evallg(4)), (long *)(evalvarn(0) | evalsigne(1)),
1069 : X1_23_r_n_0, FLX_1
1070 : };
1071 : /* -z*x + z^2 */
1072 : static const long X1_23_r_d_0[5] = {
1073 : evaltyp(t_VECSMALL) | _evallg(5), vZ, 0, 0, 1 }; /* z^2 */
1074 : static const long *X1_23_r_d[4] = {
1075 : (long *)(evaltyp(t_POL) | _evallg(4)), (long *)(evalvarn(0) | evalsigne(1)),
1076 : X1_23_r_d_0, FLX_mZ
1077 : };
1078 : /* x + (z + 1) */
1079 : static const long X1_23_s_n_0[4] = {
1080 : evaltyp(t_VECSMALL) | _evallg(4), vZ, 1, 1 }; /* z + 1 */
1081 : static const long *X1_23_s_n[4] = {
1082 : (long *)(evaltyp(t_POL) | _evallg(4)), (long *)(evalvarn(0) | evalsigne(1)),
1083 : X1_23_s_n_0, FLX_1
1084 : };
1085 : /* z */
1086 : static const long *X1_23_s_d[3] = {
1087 : (long *)(evaltyp(t_POL) | _evallg(3)), (long *)(evalvarn(0) | evalsigne(1)),
1088 : FLX_Z
1089 : };
1090 : /* (z^2 - 3)*x^4 + (z^5 + 2*z^4 + 2*z^3 + 2*z^2 - 3*z)*x^2 + (-z^4 - z^2) */
1091 : static const long X1_24_crv_0[7] = {
1092 : evaltyp(t_VECSMALL) | _evallg(7), vZ, 0, 0, -1, 0, -1 }; /* -z^4 - z^2 */
1093 : static const long X1_24_crv_2[8] = {
1094 : evaltyp(t_VECSMALL) | _evallg(8), vZ, 0, -3, 2, 2, 2, 1 }; /* z^5 + 2*z^4 + 2*z^3 + 2*z^2 - 3*z */
1095 : static const long X1_24_crv_4[5] = {
1096 : evaltyp(t_VECSMALL) | _evallg(5), vZ, -3, 0, 1 }; /* z^2 - 3 */
1097 : static const long *X1_24_crv[7] = {
1098 : (long *)(evaltyp(t_POL) | _evallg(7)), (long *)(evalvarn(0) | evalsigne(1)),
1099 : X1_24_crv_0, FLX_0, X1_24_crv_2, FLX_0, X1_24_crv_4
1100 : };
1101 : /* x */
1102 : static const long *X1_24_r_n[4] = {
1103 : (long *)(evaltyp(t_POL) | _evallg(4)), (long *)(evalvarn(0) | evalsigne(1)),
1104 : FLX_0, FLX_1
1105 : };
1106 : /* 1 */
1107 : static const long *X1_24_r_d[3] = {
1108 : (long *)(evaltyp(t_POL) | _evallg(3)), (long *)(evalvarn(0) | evalsigne(1)),
1109 : FLX_1
1110 : };
1111 : /* 4*x^3 + 4*z*x */
1112 : static const long X1_24_s_n_1[4] = {
1113 : evaltyp(t_VECSMALL) | _evallg(4), vZ, 0, 4 }; /* 4*z */
1114 : static const long X1_24_s_n_3[3] = {
1115 : evaltyp(t_VECSMALL) | _evallg(3), vZ, 4 }; /* 4 */
1116 : static const long *X1_24_s_n[6] = {
1117 : (long *)(evaltyp(t_POL) | _evallg(6)), (long *)(evalvarn(0) | evalsigne(1)),
1118 : FLX_0, X1_24_s_n_1, FLX_0, X1_24_s_n_3
1119 : };
1120 : /* (z - 2)*x^4 + (-4*z - 2)*x^2 - z */
1121 : static const long X1_24_s_d_2[4] = {
1122 : evaltyp(t_VECSMALL) | _evallg(4), vZ, -2, -4 }; /* -4*z - 2 */
1123 : static const long X1_24_s_d_4[4] = {
1124 : evaltyp(t_VECSMALL) | _evallg(4), vZ, -2, 1 }; /* z - 2 */
1125 : static const long *X1_24_s_d[7] = {
1126 : (long *)(evaltyp(t_POL) | _evallg(7)), (long *)(evalvarn(0) | evalsigne(1)),
1127 : FLX_mZ, FLX_0, X1_24_s_d_2, FLX_0, X1_24_s_d_4
1128 : };
1129 : /* z*u^5 + (z^4 - 2*z^3 - z^2 + 2*z + 1)*u^4 + (-2*z^6 + 2*z^4 - 4*z^3 - 2*z^2 + 2)*u^3 + (z^8 + z^7 - 2*z^6 + z^5 - z^4 - z^3 - 2*z^2 - z + 1)*u^2 + (z^8 + z^7 + 2*z^6 + z^5 - 2*z^4 + z^3 - z^2)*u + z^6 */
1130 : static const long X1_25_crv_0[9] = {
1131 : evaltyp(t_VECSMALL) | _evallg(9), vZ, 0, 0, 0, 0, 0, 0, 1 }; /* z^6 */
1132 : static const long X1_25_crv_1[11] = {
1133 : evaltyp(t_VECSMALL) | _evallg(11), vZ, 0, 0, -1, 1, -2, 1, 2, 1, 1 }; /* z^8 + z^7 + 2*z^6 + z^5 - 2*z^4 + z^3 - z^2 */
1134 : static const long X1_25_crv_2[11] = {
1135 : evaltyp(t_VECSMALL) | _evallg(11), vZ, 1, -1, -2, -1, -1, 1, -2, 1, 1 }; /* z^8 + z^7 - 2*z^6 + z^5 - z^4 - z^3 - 2*z^2 - z + 1 */
1136 : static const long X1_25_crv_3[9] = {
1137 : evaltyp(t_VECSMALL) | _evallg(9), vZ, 2, 0, -2, -4, 2, 0, -2 }; /* -2*z^6 + 2*z^4 - 4*z^3 - 2*z^2 + 2 */
1138 : static const long X1_25_crv_4[7] = {
1139 : evaltyp(t_VECSMALL) | _evallg(7), vZ, 1, 2, -1, -2, 1 }; /* z^4 - 2*z^3 - z^2 + 2*z + 1 */
1140 : static const long *X1_25_crv[8] = {
1141 : (long *)(evaltyp(t_POL) | _evallg(8)), (long *)(evalvarn(0) | evalsigne(1)),
1142 : X1_25_crv_0, X1_25_crv_1, X1_25_crv_2, X1_25_crv_3, X1_25_crv_4, FLX_Z
1143 : };
1144 : /* -z^2*u^6 + (2*z^4 - 2*z^2 - 2*z)*u^5 + (-z^6 + 2*z^5 + 5*z^4 + z^3 - 4*z - 1)*u^4 + (-2*z^7 - 3*z^6 + 4*z^5 + 4*z^4 + 5*z^3 - z - 2)*u^3 + (-z^8 - 4*z^7 - 2*z^6 - z^5 + 3*z^4 + 5*z^3 - z^2 + z - 1)*u^2 + (-z^8 - z^7 - 2*z^6 - 3*z^5 + 2*z^4 + z^3)*u - z^6 */
1145 : static const long X1_25_r_n_0[9] = {
1146 : evaltyp(t_VECSMALL) | _evallg(9), vZ, 0, 0, 0, 0, 0, 0, -1 }; /* -z^6 */
1147 : static const long X1_25_r_n_1[11] = {
1148 : evaltyp(t_VECSMALL) | _evallg(11), vZ, 0, 0, 0, 1, 2, -3, -2, -1, -1 }; /* -z^8 - z^7 - 2*z^6 - 3*z^5 + 2*z^4 + z^3 */
1149 : static const long X1_25_r_n_2[11] = {
1150 : evaltyp(t_VECSMALL) | _evallg(11), vZ, -1, 1, -1, 5, 3, -1, -2, -4, -1 }; /* -z^8 - 4*z^7 - 2*z^6 - z^5 + 3*z^4 + 5*z^3 - z^2 + z - 1 */
1151 : static const long X1_25_r_n_3[10] = {
1152 : evaltyp(t_VECSMALL) | _evallg(10), vZ, -2, -1, 0, 5, 4, 4, -3, -2 }; /* -2*z^7 - 3*z^6 + 4*z^5 + 4*z^4 + 5*z^3 - z - 2 */
1153 : static const long X1_25_r_n_4[9] = {
1154 : evaltyp(t_VECSMALL) | _evallg(9), vZ, -1, -4, 0, 1, 5, 2, -1 }; /* -z^6 + 2*z^5 + 5*z^4 + z^3 - 4*z - 1 */
1155 : static const long X1_25_r_n_5[7] = {
1156 : evaltyp(t_VECSMALL) | _evallg(7), vZ, 0, -2, -2, 0, 2 }; /* 2*z^4 - 2*z^2 - 2*z */
1157 : static const long X1_25_r_n_6[5] = {
1158 : evaltyp(t_VECSMALL) | _evallg(5), vZ, 0, 0, -1 }; /* -z^2 */
1159 : static const long *X1_25_r_n[9] = {
1160 : (long *)(evaltyp(t_POL) | _evallg(9)), (long *)(evalvarn(0) | evalsigne(1)),
1161 : X1_25_r_n_0, X1_25_r_n_1, X1_25_r_n_2, X1_25_r_n_3, X1_25_r_n_4, X1_25_r_n_5, X1_25_r_n_6
1162 : };
1163 : /* -z^2*u^6 + (2*z^4 + z^3 - 2*z^2 - 2*z)*u^5 + (-z^6 + 7*z^4 + 3*z^3 + z^2 - 4*z - 1)*u^4 + (-z^7 - 8*z^6 + z^5 + 7*z^4 + 7*z^3 + 2*z^2 - z - 2)*u^3 + (2*z^8 - 6*z^7 - 11*z^6 - 2*z^5 + 3*z^4 + 7*z^3 + z - 1)*u^2 + (3*z^9 + 3*z^8 - 6*z^7 - 6*z^6 - 3*z^5 + z^4 + 2*z^3)*u + (z^10 + 3*z^9 + z^8 - 2*z^7 - z^6) */
1164 : static const long X1_25_r_d_0[13] = {
1165 : evaltyp(t_VECSMALL) | _evallg(13), vZ, 0, 0, 0, 0, 0, 0, -1, -2, 1, 3, 1 }; /* z^10 + 3*z^9 + z^8 - 2*z^7 - z^6 */
1166 : static const long X1_25_r_d_1[12] = {
1167 : evaltyp(t_VECSMALL) | _evallg(12), vZ, 0, 0, 0, 2, 1, -3, -6, -6, 3, 3 }; /* 3*z^9 + 3*z^8 - 6*z^7 - 6*z^6 - 3*z^5 + z^4 + 2*z^3 */
1168 : static const long X1_25_r_d_2[11] = {
1169 : evaltyp(t_VECSMALL) | _evallg(11), vZ, -1, 1, 0, 7, 3, -2, -11, -6, 2 }; /* 2*z^8 - 6*z^7 - 11*z^6 - 2*z^5 + 3*z^4 + 7*z^3 + z - 1 */
1170 : static const long X1_25_r_d_3[10] = {
1171 : evaltyp(t_VECSMALL) | _evallg(10), vZ, -2, -1, 2, 7, 7, 1, -8, -1 }; /* -z^7 - 8*z^6 + z^5 + 7*z^4 + 7*z^3 + 2*z^2 - z - 2 */
1172 : static const long X1_25_r_d_4[9] = {
1173 : evaltyp(t_VECSMALL) | _evallg(9), vZ, -1, -4, 1, 3, 7, 0, -1 }; /* -z^6 + 7*z^4 + 3*z^3 + z^2 - 4*z - 1 */
1174 : static const long X1_25_r_d_5[7] = {
1175 : evaltyp(t_VECSMALL) | _evallg(7), vZ, 0, -2, -2, 1, 2 }; /* 2*z^4 + z^3 - 2*z^2 - 2*z */
1176 : static const long X1_25_r_d_6[5] = {
1177 : evaltyp(t_VECSMALL) | _evallg(5), vZ, 0, 0, -1 }; /* -z^2 */
1178 : static const long *X1_25_r_d[9] = {
1179 : (long *)(evaltyp(t_POL) | _evallg(9)), (long *)(evalvarn(0) | evalsigne(1)),
1180 : X1_25_r_d_0, X1_25_r_d_1, X1_25_r_d_2, X1_25_r_d_3, X1_25_r_d_4, X1_25_r_d_5, X1_25_r_d_6
1181 : };
1182 : /* -z*u^3 + (z^3 - z - 1)*u^2 + (z^4 + z^3 - z^2 + z - 1)*u + z^4 */
1183 : static const long X1_25_s_n_0[7] = {
1184 : evaltyp(t_VECSMALL) | _evallg(7), vZ, 0, 0, 0, 0, 1 }; /* z^4 */
1185 : static const long X1_25_s_n_1[7] = {
1186 : evaltyp(t_VECSMALL) | _evallg(7), vZ, -1, 1, -1, 1, 1 }; /* z^4 + z^3 - z^2 + z - 1 */
1187 : static const long X1_25_s_n_2[6] = {
1188 : evaltyp(t_VECSMALL) | _evallg(6), vZ, -1, -1, 0, 1 }; /* z^3 - z - 1 */
1189 : static const long *X1_25_s_n[6] = {
1190 : (long *)(evaltyp(t_POL) | _evallg(6)), (long *)(evalvarn(0) | evalsigne(1)),
1191 : X1_25_s_n_0, X1_25_s_n_1, X1_25_s_n_2, FLX_mZ
1192 : };
1193 : /* -z*u^3 + (z^3 + z^2 - z - 1)*u^2 + (2*z^3 + z - 1)*u + (-z^5 + z^3) */
1194 : static const long X1_25_s_d_0[8] = {
1195 : evaltyp(t_VECSMALL) | _evallg(8), vZ, 0, 0, 0, 1, 0, -1 }; /* -z^5 + z^3 */
1196 : static const long X1_25_s_d_1[6] = {
1197 : evaltyp(t_VECSMALL) | _evallg(6), vZ, -1, 1, 0, 2 }; /* 2*z^3 + z - 1 */
1198 : static const long X1_25_s_d_2[6] = {
1199 : evaltyp(t_VECSMALL) | _evallg(6), vZ, -1, -1, 1, 1 }; /* z^3 + z^2 - z - 1 */
1200 : static const long *X1_25_s_d[6] = {
1201 : (long *)(evaltyp(t_POL) | _evallg(6)), (long *)(evalvarn(0) | evalsigne(1)),
1202 : X1_25_s_d_0, X1_25_s_d_1, X1_25_s_d_2, FLX_mZ
1203 : };
1204 : /* x^6 + (3*z^2 + 4*z - 2)*x^5 + (3*z^4 + 10*z^3 - 9*z + 1)*x^4 + (z^6 + 7*z^5 + 8*z^4 - 14*z^3 - 11*z^2 + 6*z)*x^3 + (z^7 + 4*z^6 - z^5 - 13*z^4 + 2*z^3 + 10*z^2 - z)*x^2 + (-z^6 + 7*z^4 + 4*z^3 - 2*z^2)*x + (-z^4 - z^3) */
1205 : static const long X1_26_crv_0[7] = {
1206 : evaltyp(t_VECSMALL) | _evallg(7), vZ, 0, 0, 0, -1, -1 }; /* -z^4 - z^3 */
1207 : static const long X1_26_crv_1[9] = {
1208 : evaltyp(t_VECSMALL) | _evallg(9), vZ, 0, 0, -2, 4, 7, 0, -1 }; /* -z^6 + 7*z^4 + 4*z^3 - 2*z^2 */
1209 : static const long X1_26_crv_2[10] = {
1210 : evaltyp(t_VECSMALL) | _evallg(10), vZ, 0, -1, 10, 2, -13, -1, 4, 1 }; /* z^7 + 4*z^6 - z^5 - 13*z^4 + 2*z^3 + 10*z^2 - z */
1211 : static const long X1_26_crv_3[9] = {
1212 : evaltyp(t_VECSMALL) | _evallg(9), vZ, 0, 6, -11, -14, 8, 7, 1 }; /* z^6 + 7*z^5 + 8*z^4 - 14*z^3 - 11*z^2 + 6*z */
1213 : static const long X1_26_crv_4[7] = {
1214 : evaltyp(t_VECSMALL) | _evallg(7), vZ, 1, -9, 0, 10, 3 }; /* 3*z^4 + 10*z^3 - 9*z + 1 */
1215 : static const long X1_26_crv_5[5] = {
1216 : evaltyp(t_VECSMALL) | _evallg(5), vZ, -2, 4, 3 }; /* 3*z^2 + 4*z - 2 */
1217 : static const long *X1_26_crv[9] = {
1218 : (long *)(evaltyp(t_POL) | _evallg(9)), (long *)(evalvarn(0) | evalsigne(1)),
1219 : X1_26_crv_0, X1_26_crv_1, X1_26_crv_2, X1_26_crv_3, X1_26_crv_4, X1_26_crv_5, FLX_1
1220 : };
1221 : /* z*x^2 + (z^3 + 3*z^2)*x - z^2 */
1222 : static const long X1_26_r_n_0[5] = {
1223 : evaltyp(t_VECSMALL) | _evallg(5), vZ, 0, 0, -1 }; /* -z^2 */
1224 : static const long X1_26_r_n_1[6] = {
1225 : evaltyp(t_VECSMALL) | _evallg(6), vZ, 0, 0, 3, 1 }; /* z^3 + 3*z^2 */
1226 : static const long *X1_26_r_n[5] = {
1227 : (long *)(evaltyp(t_POL) | _evallg(5)), (long *)(evalvarn(0) | evalsigne(1)),
1228 : X1_26_r_n_0, X1_26_r_n_1, FLX_Z
1229 : };
1230 : /* (z + 1)*x^2 + (z^3 + 4*z^2 + 3*z)*x + (z^3 + z^2) */
1231 : static const long X1_26_r_d_0[6] = {
1232 : evaltyp(t_VECSMALL) | _evallg(6), vZ, 0, 0, 1, 1 }; /* z^3 + z^2 */
1233 : static const long X1_26_r_d_1[6] = {
1234 : evaltyp(t_VECSMALL) | _evallg(6), vZ, 0, 3, 4, 1 }; /* z^3 + 4*z^2 + 3*z */
1235 : static const long X1_26_r_d_2[4] = {
1236 : evaltyp(t_VECSMALL) | _evallg(4), vZ, 1, 1 }; /* z + 1 */
1237 : static const long *X1_26_r_d[5] = {
1238 : (long *)(evaltyp(t_POL) | _evallg(5)), (long *)(evalvarn(0) | evalsigne(1)),
1239 : X1_26_r_d_0, X1_26_r_d_1, X1_26_r_d_2
1240 : };
1241 : /* z*x - z */
1242 : static const long *X1_26_s_n[4] = {
1243 : (long *)(evaltyp(t_POL) | _evallg(4)), (long *)(evalvarn(0) | evalsigne(1)),
1244 : FLX_mZ, FLX_Z
1245 : };
1246 : /* (z + 1)*x */
1247 : static const long X1_26_s_d_1[4] = {
1248 : evaltyp(t_VECSMALL) | _evallg(4), vZ, 1, 1 }; /* z + 1 */
1249 : static const long *X1_26_s_d[4] = {
1250 : (long *)(evaltyp(t_POL) | _evallg(4)), (long *)(evalvarn(0) | evalsigne(1)),
1251 : FLX_0, X1_26_s_d_1
1252 : };
1253 : /* (z^2 - 2*z + 1)*u^6 + (z^5 - 2*z^4 + z^3 + 2*z^2 - 4*z + 2)*u^5 + (-z^7 + 5*z^5 - 5*z^4 + 2*z^3 - 2*z^2 + 1)*u^4 + (z^8 - 4*z^7 - z^6 + 5*z^5 + 2*z^3 - 5*z^2 + 2*z)*u^3 + (3*z^8 - 4*z^7 - 2*z^6 - 2*z^5 + 3*z^4 + 2*z^3 - z^2 + z)*u^2 + (3*z^8 - 3*z^5)*u + (z^8 + z^7 + z^6) */
1254 : static const long X1_27_crv_0[11] = {
1255 : evaltyp(t_VECSMALL) | _evallg(11), vZ, 0, 0, 0, 0, 0, 0, 1, 1, 1 }; /* z^8 + z^7 + z^6 */
1256 : static const long X1_27_crv_1[11] = {
1257 : evaltyp(t_VECSMALL) | _evallg(11), vZ, 0, 0, 0, 0, 0, -3, 0, 0, 3 }; /* 3*z^8 - 3*z^5 */
1258 : static const long X1_27_crv_2[11] = {
1259 : evaltyp(t_VECSMALL) | _evallg(11), vZ, 0, 1, -1, 2, 3, -2, -2, -4, 3 }; /* 3*z^8 - 4*z^7 - 2*z^6 - 2*z^5 + 3*z^4 + 2*z^3 - z^2 + z */
1260 : static const long X1_27_crv_3[11] = {
1261 : evaltyp(t_VECSMALL) | _evallg(11), vZ, 0, 2, -5, 2, 0, 5, -1, -4, 1 }; /* z^8 - 4*z^7 - z^6 + 5*z^5 + 2*z^3 - 5*z^2 + 2*z */
1262 : static const long X1_27_crv_4[10] = {
1263 : evaltyp(t_VECSMALL) | _evallg(10), vZ, 1, 0, -2, 2, -5, 5, 0, -1 }; /* -z^7 + 5*z^5 - 5*z^4 + 2*z^3 - 2*z^2 + 1 */
1264 : static const long X1_27_crv_5[8] = {
1265 : evaltyp(t_VECSMALL) | _evallg(8), vZ, 2, -4, 2, 1, -2, 1 }; /* z^5 - 2*z^4 + z^3 + 2*z^2 - 4*z + 2 */
1266 : static const long X1_27_crv_6[5] = {
1267 : evaltyp(t_VECSMALL) | _evallg(5), vZ, 1, -2, 1 }; /* z^2 - 2*z + 1 */
1268 : static const long *X1_27_crv[9] = {
1269 : (long *)(evaltyp(t_POL) | _evallg(9)), (long *)(evalvarn(0) | evalsigne(1)),
1270 : X1_27_crv_0, X1_27_crv_1, X1_27_crv_2, X1_27_crv_3, X1_27_crv_4, X1_27_crv_5, X1_27_crv_6
1271 : };
1272 : /* (-z^4 + 2*z^2 - 2*z + 1)*u^4 + (z^5 - 4*z^4 - z^3 + 6*z^2 - 4*z + 2)*u^3 + (3*z^5 - 5*z^4 - 2*z^3 + 5*z^2 - z + 1)*u^2 + (3*z^5 - 2*z^4 - z^3 + z^2)*u + z^5 */
1273 : static const long X1_27_r_n_0[8] = {
1274 : evaltyp(t_VECSMALL) | _evallg(8), vZ, 0, 0, 0, 0, 0, 1 }; /* z^5 */
1275 : static const long X1_27_r_n_1[8] = {
1276 : evaltyp(t_VECSMALL) | _evallg(8), vZ, 0, 0, 1, -1, -2, 3 }; /* 3*z^5 - 2*z^4 - z^3 + z^2 */
1277 : static const long X1_27_r_n_2[8] = {
1278 : evaltyp(t_VECSMALL) | _evallg(8), vZ, 1, -1, 5, -2, -5, 3 }; /* 3*z^5 - 5*z^4 - 2*z^3 + 5*z^2 - z + 1 */
1279 : static const long X1_27_r_n_3[8] = {
1280 : evaltyp(t_VECSMALL) | _evallg(8), vZ, 2, -4, 6, -1, -4, 1 }; /* z^5 - 4*z^4 - z^3 + 6*z^2 - 4*z + 2 */
1281 : static const long X1_27_r_n_4[7] = {
1282 : evaltyp(t_VECSMALL) | _evallg(7), vZ, 1, -2, 2, 0, -1 }; /* -z^4 + 2*z^2 - 2*z + 1 */
1283 : static const long *X1_27_r_n[7] = {
1284 : (long *)(evaltyp(t_POL) | _evallg(7)), (long *)(evalvarn(0) | evalsigne(1)),
1285 : X1_27_r_n_0, X1_27_r_n_1, X1_27_r_n_2, X1_27_r_n_3, X1_27_r_n_4
1286 : };
1287 : /* (-z^3 + z^2 - z + 1)*u^4 + (z^5 - z^4 - 2*z^3 + z^2 - z + 2)*u^3 + (3*z^5 - 2*z^4 - z^3 - 2*z^2 + 2*z + 1)*u^2 + (3*z^5 - z^4 - 3*z^2 + z)*u + (z^5 - z^2) */
1288 : static const long X1_27_r_d_0[8] = {
1289 : evaltyp(t_VECSMALL) | _evallg(8), vZ, 0, 0, -1, 0, 0, 1 }; /* z^5 - z^2 */
1290 : static const long X1_27_r_d_1[8] = {
1291 : evaltyp(t_VECSMALL) | _evallg(8), vZ, 0, 1, -3, 0, -1, 3 }; /* 3*z^5 - z^4 - 3*z^2 + z */
1292 : static const long X1_27_r_d_2[8] = {
1293 : evaltyp(t_VECSMALL) | _evallg(8), vZ, 1, 2, -2, -1, -2, 3 }; /* 3*z^5 - 2*z^4 - z^3 - 2*z^2 + 2*z + 1 */
1294 : static const long X1_27_r_d_3[8] = {
1295 : evaltyp(t_VECSMALL) | _evallg(8), vZ, 2, -1, 1, -2, -1, 1 }; /* z^5 - z^4 - 2*z^3 + z^2 - z + 2 */
1296 : static const long X1_27_r_d_4[6] = {
1297 : evaltyp(t_VECSMALL) | _evallg(6), vZ, 1, -1, 1, -1 }; /* -z^3 + z^2 - z + 1 */
1298 : static const long *X1_27_r_d[7] = {
1299 : (long *)(evaltyp(t_POL) | _evallg(7)), (long *)(evalvarn(0) | evalsigne(1)),
1300 : X1_27_r_d_0, X1_27_r_d_1, X1_27_r_d_2, X1_27_r_d_3, X1_27_r_d_4
1301 : };
1302 : /* (z^3 - 2*z + 1)*u^3 + (-z^4 + 2*z^3 + z^2 - 4*z + 2)*u^2 + (-2*z^4 + z^3 + z^2 - z + 1)*u - z^4 */
1303 : static const long X1_27_s_n_0[7] = {
1304 : evaltyp(t_VECSMALL) | _evallg(7), vZ, 0, 0, 0, 0, -1 }; /* -z^4 */
1305 : static const long X1_27_s_n_1[7] = {
1306 : evaltyp(t_VECSMALL) | _evallg(7), vZ, 1, -1, 1, 1, -2 }; /* -2*z^4 + z^3 + z^2 - z + 1 */
1307 : static const long X1_27_s_n_2[7] = {
1308 : evaltyp(t_VECSMALL) | _evallg(7), vZ, 2, -4, 1, 2, -1 }; /* -z^4 + 2*z^3 + z^2 - 4*z + 2 */
1309 : static const long X1_27_s_n_3[6] = {
1310 : evaltyp(t_VECSMALL) | _evallg(6), vZ, 1, -2, 0, 1 }; /* z^3 - 2*z + 1 */
1311 : static const long *X1_27_s_n[6] = {
1312 : (long *)(evaltyp(t_POL) | _evallg(6)), (long *)(evalvarn(0) | evalsigne(1)),
1313 : X1_27_s_n_0, X1_27_s_n_1, X1_27_s_n_2, X1_27_s_n_3
1314 : };
1315 : /* (-z + 1)*u^3 + (-z^4 - z + 2)*u^2 + (-2*z^4 + 2*z + 1)*u + (-z^4 + z) */
1316 : static const long X1_27_s_d_0[7] = {
1317 : evaltyp(t_VECSMALL) | _evallg(7), vZ, 0, 1, 0, 0, -1 }; /* -z^4 + z */
1318 : static const long X1_27_s_d_1[7] = {
1319 : evaltyp(t_VECSMALL) | _evallg(7), vZ, 1, 2, 0, 0, -2 }; /* -2*z^4 + 2*z + 1 */
1320 : static const long X1_27_s_d_2[7] = {
1321 : evaltyp(t_VECSMALL) | _evallg(7), vZ, 2, -1, 0, 0, -1 }; /* -z^4 - z + 2 */
1322 : static const long X1_27_s_d_3[4] = {
1323 : evaltyp(t_VECSMALL) | _evallg(4), vZ, 1, -1 }; /* -z + 1 */
1324 : static const long *X1_27_s_d[6] = {
1325 : (long *)(evaltyp(t_POL) | _evallg(6)), (long *)(evalvarn(0) | evalsigne(1)),
1326 : X1_27_s_d_0, X1_27_s_d_1, X1_27_s_d_2, X1_27_s_d_3
1327 : };
1328 : /* (z^5 + 3*z^4 + 3*z^3 + z^2)*x^6 + (z^8 + 2*z^7 + z^6 + 11*z^4 + 22*z^3 + 11*z^2)*x^5 + (9*z^7 + 9*z^6 - 6*z^5 - 6*z^4 + 45*z^3 + 45*z^2)*x^4 + (-5*z^8 + 28*z^6 - 42*z^4 + 84*z^2 - 1)*x^3 + (-25*z^7 + 25*z^6 + 23*z^5 - 23*z^4 - 67*z^3 + 67*z^2 + 5*z - 5)*x^2 + (6*z^8 - 12*z^7 - 12*z^6 + 36*z^5 - 36*z^3 + 12*z^2 + 12*z - 6)*x + (-z^9 + 3*z^8 - 8*z^6 + 6*z^5 + 6*z^4 - 8*z^3 + 3*z - 1) */
1329 : static const long X1_28_crv_0[12] = {
1330 : evaltyp(t_VECSMALL) | _evallg(12), vZ, -1, 3, 0, -8, 6, 6, -8, 0, 3, -1 }; /* -z^9 + 3*z^8 - 8*z^6 + 6*z^5 + 6*z^4 - 8*z^3 + 3*z - 1 */
1331 : static const long X1_28_crv_1[11] = {
1332 : evaltyp(t_VECSMALL) | _evallg(11), vZ, -6, 12, 12, -36, 0, 36, -12, -12, 6 }; /* 6*z^8 - 12*z^7 - 12*z^6 + 36*z^5 - 36*z^3 + 12*z^2 + 12*z - 6 */
1333 : static const long X1_28_crv_2[10] = {
1334 : evaltyp(t_VECSMALL) | _evallg(10), vZ, -5, 5, 67, -67, -23, 23, 25, -25 }; /* -25*z^7 + 25*z^6 + 23*z^5 - 23*z^4 - 67*z^3 + 67*z^2 + 5*z - 5 */
1335 : static const long X1_28_crv_3[11] = {
1336 : evaltyp(t_VECSMALL) | _evallg(11), vZ, -1, 0, 84, 0, -42, 0, 28, 0, -5 }; /* -5*z^8 + 28*z^6 - 42*z^4 + 84*z^2 - 1 */
1337 : static const long X1_28_crv_4[10] = {
1338 : evaltyp(t_VECSMALL) | _evallg(10), vZ, 0, 0, 45, 45, -6, -6, 9, 9 }; /* 9*z^7 + 9*z^6 - 6*z^5 - 6*z^4 + 45*z^3 + 45*z^2 */
1339 : static const long X1_28_crv_5[11] = {
1340 : evaltyp(t_VECSMALL) | _evallg(11), vZ, 0, 0, 11, 22, 11, 0, 1, 2, 1 }; /* z^8 + 2*z^7 + z^6 + 11*z^4 + 22*z^3 + 11*z^2 */
1341 : static const long X1_28_crv_6[8] = {
1342 : evaltyp(t_VECSMALL) | _evallg(8), vZ, 0, 0, 1, 3, 3, 1 }; /* z^5 + 3*z^4 + 3*z^3 + z^2 */
1343 : static const long *X1_28_crv[9] = {
1344 : (long *)(evaltyp(t_POL) | _evallg(9)), (long *)(evalvarn(0) | evalsigne(1)),
1345 : X1_28_crv_0, X1_28_crv_1, X1_28_crv_2, X1_28_crv_3, X1_28_crv_4, X1_28_crv_5, X1_28_crv_6
1346 : };
1347 : /* (z + 1)*x + 2 */
1348 : static const long X1_28_r_n_0[3] = {
1349 : evaltyp(t_VECSMALL) | _evallg(3), vZ, 2 }; /* 2 */
1350 : static const long X1_28_r_n_1[4] = {
1351 : evaltyp(t_VECSMALL) | _evallg(4), vZ, 1, 1 }; /* z + 1 */
1352 : static const long *X1_28_r_n[4] = {
1353 : (long *)(evaltyp(t_POL) | _evallg(4)), (long *)(evalvarn(0) | evalsigne(1)),
1354 : X1_28_r_n_0, X1_28_r_n_1
1355 : };
1356 : /* 2*z */
1357 : static const long X1_28_r_d_0[4] = {
1358 : evaltyp(t_VECSMALL) | _evallg(4), vZ, 0, 2 }; /* 2*z */
1359 : static const long *X1_28_r_d[3] = {
1360 : (long *)(evaltyp(t_POL) | _evallg(3)), (long *)(evalvarn(0) | evalsigne(1)),
1361 : X1_28_r_d_0
1362 : };
1363 : /* (-z - 1)*x - 2 */
1364 : static const long X1_28_s_n_0[3] = {
1365 : evaltyp(t_VECSMALL) | _evallg(3), vZ, -2 }; /* -2 */
1366 : static const long X1_28_s_n_1[4] = {
1367 : evaltyp(t_VECSMALL) | _evallg(4), vZ, -1, -1 }; /* -z - 1 */
1368 : static const long *X1_28_s_n[4] = {
1369 : (long *)(evaltyp(t_POL) | _evallg(4)), (long *)(evalvarn(0) | evalsigne(1)),
1370 : X1_28_s_n_0, X1_28_s_n_1
1371 : };
1372 : /* 2 */
1373 : static const long X1_28_s_d_0[3] = {
1374 : evaltyp(t_VECSMALL) | _evallg(3), vZ, 2 }; /* 2 */
1375 : static const long *X1_28_s_d[3] = {
1376 : (long *)(evaltyp(t_POL) | _evallg(3)), (long *)(evalvarn(0) | evalsigne(1)),
1377 : X1_28_s_d_0
1378 : };
1379 : /* x^11 + (2*z^3 + 5*z^2 + 5*z - 3)*x^10 + (z^6 + 8*z^5 + 18*z^4 + 11*z^3 - 5*z^2 - 12*z + 3)*x^9 + (3*z^8 + 15*z^7 + 29*z^6 + 6*z^5 - 39*z^4 - 19*z^3 + 5*z^2 + 5*z - 1)*x^8 + (3*z^10 + 14*z^9 + 18*z^8 - 26*z^7 - 99*z^6 - 45*z^5 + 95*z^4 + 25*z^3 - 37*z^2 + 7*z)*x^7 + (z^12 + 5*z^11 - 44*z^9 - 106*z^8 - 40*z^7 + 197*z^6 + 190*z^5 - 140*z^4 - 93*z^3 + 59*z^2 - 6*z)*x^6 + (-2*z^12 - 16*z^11 - 37*z^10 + 9*z^9 + 184*z^8 + 256*z^7 - 99*z^6 - 346*z^5 + 20*z^4 + 130*z^3 - 32*z^2 + z)*x^5 + (z^12 + 15*z^11 + 65*z^10 + 99*z^9 - 55*z^8 - 320*z^7 - 165*z^6 + 223*z^5 + 100*z^4 - 66*z^3 + 5*z^2)*x^4 + (-4*z^11 - 36*z^10 - 108*z^9 - 98*z^8 + 110*z^7 + 191*z^6 - 15*z^5 - 64*z^4 + 10*z^3)*x^3 + (6*z^10 + 38*z^9 + 76*z^8 + 25*z^7 - 55*z^6 - 26*z^5 + 10*z^4)*x^2 + (-4*z^9 - 17*z^8 - 18*z^7 + 5*z^5)*x + (z^8 + 2*z^7 + z^6) */
1380 : static const long X1_29_crv_0[11] = {
1381 : evaltyp(t_VECSMALL) | _evallg(11), vZ, 0, 0, 0, 0, 0, 0, 1, 2, 1 }; /* z^8 + 2*z^7 + z^6 */
1382 : static const long X1_29_crv_1[12] = {
1383 : evaltyp(t_VECSMALL) | _evallg(12), vZ, 0, 0, 0, 0, 0, 5, 0, -18, -17, -4 }; /* -4*z^9 - 17*z^8 - 18*z^7 + 5*z^5 */
1384 : static const long X1_29_crv_2[13] = {
1385 : evaltyp(t_VECSMALL) | _evallg(13), vZ, 0, 0, 0, 0, 10, -26, -55, 25, 76, 38, 6 }; /* 6*z^10 + 38*z^9 + 76*z^8 + 25*z^7 - 55*z^6 - 26*z^5 + 10*z^4 */
1386 : static const long X1_29_crv_3[14] = {
1387 : evaltyp(t_VECSMALL) | _evallg(14), vZ, 0, 0, 0, 10, -64, -15, 191, 110, -98, -108, -36, -4 }; /* -4*z^11 - 36*z^10 - 108*z^9 - 98*z^8 + 110*z^7 + 191*z^6 - 15*z^5 - 64*z^4 + 10*z^3 */
1388 : static const long X1_29_crv_4[15] = {
1389 : evaltyp(t_VECSMALL) | _evallg(15), vZ, 0, 0, 5, -66, 100, 223, -165, -320, -55, 99, 65, 15, 1 }; /* z^12 + 15*z^11 + 65*z^10 + 99*z^9 - 55*z^8 - 320*z^7 - 165*z^6 + 223*z^5 + 100*z^4 - 66*z^3 + 5*z^2 */
1390 : static const long X1_29_crv_5[15] = {
1391 : evaltyp(t_VECSMALL) | _evallg(15), vZ, 0, 1, -32, 130, 20, -346, -99, 256, 184, 9, -37, -16, -2 }; /* -2*z^12 - 16*z^11 - 37*z^10 + 9*z^9 + 184*z^8 + 256*z^7 - 99*z^6 - 346*z^5 + 20*z^4 + 130*z^3 - 32*z^2 + z */
1392 : static const long X1_29_crv_6[15] = {
1393 : evaltyp(t_VECSMALL) | _evallg(15), vZ, 0, -6, 59, -93, -140, 190, 197, -40, -106, -44, 0, 5, 1 }; /* z^12 + 5*z^11 - 44*z^9 - 106*z^8 - 40*z^7 + 197*z^6 + 190*z^5 - 140*z^4 - 93*z^3 + 59*z^2 - 6*z */
1394 : static const long X1_29_crv_7[13] = {
1395 : evaltyp(t_VECSMALL) | _evallg(13), vZ, 0, 7, -37, 25, 95, -45, -99, -26, 18, 14, 3 }; /* 3*z^10 + 14*z^9 + 18*z^8 - 26*z^7 - 99*z^6 - 45*z^5 + 95*z^4 + 25*z^3 - 37*z^2 + 7*z */
1396 : static const long X1_29_crv_8[11] = {
1397 : evaltyp(t_VECSMALL) | _evallg(11), vZ, -1, 5, 5, -19, -39, 6, 29, 15, 3 }; /* 3*z^8 + 15*z^7 + 29*z^6 + 6*z^5 - 39*z^4 - 19*z^3 + 5*z^2 + 5*z - 1 */
1398 : static const long X1_29_crv_9[9] = {
1399 : evaltyp(t_VECSMALL) | _evallg(9), vZ, 3, -12, -5, 11, 18, 8, 1 }; /* z^6 + 8*z^5 + 18*z^4 + 11*z^3 - 5*z^2 - 12*z + 3 */
1400 : static const long X1_29_crv_10[6] = {
1401 : evaltyp(t_VECSMALL) | _evallg(6), vZ, -3, 5, 5, 2 }; /* 2*z^3 + 5*z^2 + 5*z - 3 */
1402 : static const long *X1_29_crv[14] = {
1403 : (long *)(evaltyp(t_POL) | _evallg(14)), (long *)(evalvarn(0) | evalsigne(1)),
1404 : X1_29_crv_0, X1_29_crv_1, X1_29_crv_2, X1_29_crv_3, X1_29_crv_4, X1_29_crv_5, X1_29_crv_6, X1_29_crv_7, X1_29_crv_8, X1_29_crv_9, X1_29_crv_10, FLX_1
1405 : };
1406 : /* -x + (-z^3 - z^2 - z) */
1407 : static const long X1_29_r_n_0[6] = {
1408 : evaltyp(t_VECSMALL) | _evallg(6), vZ, 0, -1, -1, -1 }; /* -z^3 - z^2 - z */
1409 : static const long *X1_29_r_n[4] = {
1410 : (long *)(evaltyp(t_POL) | _evallg(4)), (long *)(evalvarn(0) | evalsigne(1)),
1411 : X1_29_r_n_0, FLX_m1
1412 : };
1413 : /* (z^2 + z - 1)*x - z */
1414 : static const long X1_29_r_d_1[5] = {
1415 : evaltyp(t_VECSMALL) | _evallg(5), vZ, -1, 1, 1 }; /* z^2 + z - 1 */
1416 : static const long *X1_29_r_d[4] = {
1417 : (long *)(evaltyp(t_POL) | _evallg(4)), (long *)(evalvarn(0) | evalsigne(1)),
1418 : FLX_mZ, X1_29_r_d_1
1419 : };
1420 : /* -z*x - z^2 */
1421 : static const long X1_29_s_n_0[5] = {
1422 : evaltyp(t_VECSMALL) | _evallg(5), vZ, 0, 0, -1 }; /* -z^2 */
1423 : static const long *X1_29_s_n[4] = {
1424 : (long *)(evaltyp(t_POL) | _evallg(4)), (long *)(evalvarn(0) | evalsigne(1)),
1425 : X1_29_s_n_0, FLX_mZ
1426 : };
1427 : /* (z - 1)*x - z */
1428 : static const long X1_29_s_d_1[4] = {
1429 : evaltyp(t_VECSMALL) | _evallg(4), vZ, -1, 1 }; /* z - 1 */
1430 : static const long *X1_29_s_d[4] = {
1431 : (long *)(evaltyp(t_POL) | _evallg(4)), (long *)(evalvarn(0) | evalsigne(1)),
1432 : FLX_mZ, X1_29_s_d_1
1433 : };
1434 : /* x^6 + (z^6 - 5*z^5 + 6*z^4 + 3*z^3 - 6*z^2 + 7*z + 3)*x^5 + (z^7 - 3*z^6 - 13*z^5 + 44*z^4 - 18*z^3 + z^2 + 18*z + 3)*x^4 + (z^8 - 3*z^7 - 13*z^6 + 27*z^5 + 46*z^4 - 32*z^3 + 21*z^2 + 15*z + 1)*x^3 + (2*z^8 - 16*z^7 + 18*z^6 + 40*z^5 + 12*z^4 - 12*z^3 + 18*z^2 + 4*z)*x^2 + (-8*z^7 + 28*z^6 + 12*z^5 + 4*z^2)*x + 8*z^6 */
1435 : static const long X1_30_crv_0[9] = {
1436 : evaltyp(t_VECSMALL) | _evallg(9), vZ, 0, 0, 0, 0, 0, 0, 8 }; /* 8*z^6 */
1437 : static const long X1_30_crv_1[10] = {
1438 : evaltyp(t_VECSMALL) | _evallg(10), vZ, 0, 0, 4, 0, 0, 12, 28, -8 }; /* -8*z^7 + 28*z^6 + 12*z^5 + 4*z^2 */
1439 : static const long X1_30_crv_2[11] = {
1440 : evaltyp(t_VECSMALL) | _evallg(11), vZ, 0, 4, 18, -12, 12, 40, 18, -16, 2 }; /* 2*z^8 - 16*z^7 + 18*z^6 + 40*z^5 + 12*z^4 - 12*z^3 + 18*z^2 + 4*z */
1441 : static const long X1_30_crv_3[11] = {
1442 : evaltyp(t_VECSMALL) | _evallg(11), vZ, 1, 15, 21, -32, 46, 27, -13, -3, 1 }; /* z^8 - 3*z^7 - 13*z^6 + 27*z^5 + 46*z^4 - 32*z^3 + 21*z^2 + 15*z + 1 */
1443 : static const long X1_30_crv_4[10] = {
1444 : evaltyp(t_VECSMALL) | _evallg(10), vZ, 3, 18, 1, -18, 44, -13, -3, 1 }; /* z^7 - 3*z^6 - 13*z^5 + 44*z^4 - 18*z^3 + z^2 + 18*z + 3 */
1445 : static const long X1_30_crv_5[9] = {
1446 : evaltyp(t_VECSMALL) | _evallg(9), vZ, 3, 7, -6, 3, 6, -5, 1 }; /* z^6 - 5*z^5 + 6*z^4 + 3*z^3 - 6*z^2 + 7*z + 3 */
1447 : static const long *X1_30_crv[9] = {
1448 : (long *)(evaltyp(t_POL) | _evallg(9)), (long *)(evalvarn(0) | evalsigne(1)),
1449 : X1_30_crv_0, X1_30_crv_1, X1_30_crv_2, X1_30_crv_3, X1_30_crv_4, X1_30_crv_5, FLX_1
1450 : };
1451 : /* x + 1 */
1452 : static const long *X1_30_r_n[4] = {
1453 : (long *)(evaltyp(t_POL) | _evallg(4)), (long *)(evalvarn(0) | evalsigne(1)),
1454 : FLX_1, FLX_1
1455 : };
1456 : /* 1 */
1457 : static const long *X1_30_r_d[3] = {
1458 : (long *)(evaltyp(t_POL) | _evallg(3)), (long *)(evalvarn(0) | evalsigne(1)),
1459 : FLX_1
1460 : };
1461 : /* 4*x^2 + (4*z + 4)*x + 4*z */
1462 : static const long X1_30_s_n_0[4] = {
1463 : evaltyp(t_VECSMALL) | _evallg(4), vZ, 0, 4 }; /* 4*z */
1464 : static const long X1_30_s_n_1[4] = {
1465 : evaltyp(t_VECSMALL) | _evallg(4), vZ, 4, 4 }; /* 4*z + 4 */
1466 : static const long X1_30_s_n_2[3] = {
1467 : evaltyp(t_VECSMALL) | _evallg(3), vZ, 4 }; /* 4 */
1468 : static const long *X1_30_s_n[5] = {
1469 : (long *)(evaltyp(t_POL) | _evallg(5)), (long *)(evalvarn(0) | evalsigne(1)),
1470 : X1_30_s_n_0, X1_30_s_n_1, X1_30_s_n_2
1471 : };
1472 : /* (z - 3)*x^3 - 6*x^2 + (-4*z - 4)*x - 4*z */
1473 : static const long X1_30_s_d_0[4] = {
1474 : evaltyp(t_VECSMALL) | _evallg(4), vZ, 0, -4 }; /* -4*z */
1475 : static const long X1_30_s_d_1[4] = {
1476 : evaltyp(t_VECSMALL) | _evallg(4), vZ, -4, -4 }; /* -4*z - 4 */
1477 : static const long X1_30_s_d_2[3] = {
1478 : evaltyp(t_VECSMALL) | _evallg(3), vZ, -6 }; /* -6 */
1479 : static const long X1_30_s_d_3[4] = {
1480 : evaltyp(t_VECSMALL) | _evallg(4), vZ, -3, 1 }; /* z - 3 */
1481 : static const long *X1_30_s_d[6] = {
1482 : (long *)(evaltyp(t_POL) | _evallg(6)), (long *)(evalvarn(0) | evalsigne(1)),
1483 : X1_30_s_d_0, X1_30_s_d_1, X1_30_s_d_2, X1_30_s_d_3
1484 : };
1485 : /* u^12 + (z^10 - z^9 - 8*z^8 + 6*z^7 + 23*z^6 - 12*z^5 - 26*z^4 + 8*z^3 + 10*z^2 + 7*z - 3)*u^11 + (z^11 - 8*z^10 - 11*z^9 + 61*z^8 + 45*z^7 - 152*z^6 - 70*z^5 + 129*z^4 + 37*z^3 - 24*z + 3)*u^10 + (-8*z^11 + 17*z^10 + 105*z^9 - 93*z^8 - 387*z^7 + 145*z^6 + 453*z^5 - 57*z^4 - 91*z^3 - 73*z^2 + 31*z - 1)*u^9 + (-z^12 + 25*z^11 + 27*z^10 - 273*z^9 - 260*z^8 + 745*z^7 + 569*z^6 - 572*z^5 - 266*z^4 - 36*z^3 + 131*z^2 - 19*z)*u^8 + (5*z^12 - 32*z^11 - 162*z^10 + 193*z^9 + 911*z^8 - 147*z^7 - 1254*z^6 - 78*z^5 + 301*z^4 + 222*z^3 - 99*z^2 + 6*z)*u^7 + (-10*z^12 + 240*z^10 + 268*z^9 - 864*z^8 - 967*z^7 + 713*z^6 + 598*z^5 + 28*z^4 - 216*z^3 + 37*z^2 - z)*u^6 + (10*z^12 + 44*z^11 - 115*z^10 - 537*z^9 + 19*z^8 + 1033*z^7 + 242*z^6 - 351*z^5 - 200*z^4 + 91*z^3 - 6*z^2)*u^5 + (-5*z^12 - 47*z^11 - 52*z^10 + 293*z^9 + 448*z^8 - 266*z^7 - 390*z^6 - 17*z^5 + 112*z^4 - 15*z^3)*u^4 + (z^12 + 20*z^11 + 76*z^10 - z^9 - 247*z^8 - 119*z^7 + 103*z^6 + 68*z^5 - 20*z^4)*u^3 + (-3*z^11 - 27*z^10 - 49*z^9 + 25*z^8 + 67*z^7 + 13*z^6 - 15*z^5)*u^2 + (3*z^10 + 14*z^9 + 11*z^8 - 5*z^7 - 6*z^6)*u + (-z^9 - 2*z^8 - z^7) */
1486 : static const long X1_31_crv_0[12] = {
1487 : evaltyp(t_VECSMALL) | _evallg(12), vZ, 0, 0, 0, 0, 0, 0, 0, -1, -2, -1 }; /* -z^9 - 2*z^8 - z^7 */
1488 : static const long X1_31_crv_1[13] = {
1489 : evaltyp(t_VECSMALL) | _evallg(13), vZ, 0, 0, 0, 0, 0, 0, -6, -5, 11, 14, 3 }; /* 3*z^10 + 14*z^9 + 11*z^8 - 5*z^7 - 6*z^6 */
1490 : static const long X1_31_crv_2[14] = {
1491 : evaltyp(t_VECSMALL) | _evallg(14), vZ, 0, 0, 0, 0, 0, -15, 13, 67, 25, -49, -27, -3 }; /* -3*z^11 - 27*z^10 - 49*z^9 + 25*z^8 + 67*z^7 + 13*z^6 - 15*z^5 */
1492 : static const long X1_31_crv_3[15] = {
1493 : evaltyp(t_VECSMALL) | _evallg(15), vZ, 0, 0, 0, 0, -20, 68, 103, -119, -247, -1, 76, 20, 1 }; /* z^12 + 20*z^11 + 76*z^10 - z^9 - 247*z^8 - 119*z^7 + 103*z^6 + 68*z^5 - 20*z^4 */
1494 : static const long X1_31_crv_4[15] = {
1495 : evaltyp(t_VECSMALL) | _evallg(15), vZ, 0, 0, 0, -15, 112, -17, -390, -266, 448, 293, -52, -47, -5 }; /* -5*z^12 - 47*z^11 - 52*z^10 + 293*z^9 + 448*z^8 - 266*z^7 - 390*z^6 - 17*z^5 + 112*z^4 - 15*z^3 */
1496 : static const long X1_31_crv_5[15] = {
1497 : evaltyp(t_VECSMALL) | _evallg(15), vZ, 0, 0, -6, 91, -200, -351, 242, 1033, 19, -537, -115, 44, 10 }; /* 10*z^12 + 44*z^11 - 115*z^10 - 537*z^9 + 19*z^8 + 1033*z^7 + 242*z^6 - 351*z^5 - 200*z^4 + 91*z^3 - 6*z^2 */
1498 : static const long X1_31_crv_6[15] = {
1499 : evaltyp(t_VECSMALL) | _evallg(15), vZ, 0, -1, 37, -216, 28, 598, 713, -967, -864, 268, 240, 0, -10 }; /* -10*z^12 + 240*z^10 + 268*z^9 - 864*z^8 - 967*z^7 + 713*z^6 + 598*z^5 + 28*z^4 - 216*z^3 + 37*z^2 - z */
1500 : static const long X1_31_crv_7[15] = {
1501 : evaltyp(t_VECSMALL) | _evallg(15), vZ, 0, 6, -99, 222, 301, -78, -1254, -147, 911, 193, -162, -32, 5 }; /* 5*z^12 - 32*z^11 - 162*z^10 + 193*z^9 + 911*z^8 - 147*z^7 - 1254*z^6 - 78*z^5 + 301*z^4 + 222*z^3 - 99*z^2 + 6*z */
1502 : static const long X1_31_crv_8[15] = {
1503 : evaltyp(t_VECSMALL) | _evallg(15), vZ, 0, -19, 131, -36, -266, -572, 569, 745, -260, -273, 27, 25, -1 }; /* -z^12 + 25*z^11 + 27*z^10 - 273*z^9 - 260*z^8 + 745*z^7 + 569*z^6 - 572*z^5 - 266*z^4 - 36*z^3 + 131*z^2 - 19*z */
1504 : static const long X1_31_crv_9[14] = {
1505 : evaltyp(t_VECSMALL) | _evallg(14), vZ, -1, 31, -73, -91, -57, 453, 145, -387, -93, 105, 17, -8 }; /* -8*z^11 + 17*z^10 + 105*z^9 - 93*z^8 - 387*z^7 + 145*z^6 + 453*z^5 - 57*z^4 - 91*z^3 - 73*z^2 + 31*z - 1 */
1506 : static const long X1_31_crv_10[14] = {
1507 : evaltyp(t_VECSMALL) | _evallg(14), vZ, 3, -24, 0, 37, 129, -70, -152, 45, 61, -11, -8, 1 }; /* z^11 - 8*z^10 - 11*z^9 + 61*z^8 + 45*z^7 - 152*z^6 - 70*z^5 + 129*z^4 + 37*z^3 - 24*z + 3 */
1508 : static const long X1_31_crv_11[13] = {
1509 : evaltyp(t_VECSMALL) | _evallg(13), vZ, -3, 7, 10, 8, -26, -12, 23, 6, -8, -1, 1 }; /* z^10 - z^9 - 8*z^8 + 6*z^7 + 23*z^6 - 12*z^5 - 26*z^4 + 8*z^3 + 10*z^2 + 7*z - 3 */
1510 : static const long *X1_31_crv[15] = {
1511 : (long *)(evaltyp(t_POL) | _evallg(15)), (long *)(evalvarn(0) | evalsigne(1)),
1512 : X1_31_crv_0, X1_31_crv_1, X1_31_crv_2, X1_31_crv_3, X1_31_crv_4, X1_31_crv_5, X1_31_crv_6, X1_31_crv_7, X1_31_crv_8, X1_31_crv_9, X1_31_crv_10, X1_31_crv_11, FLX_1
1513 : };
1514 : /* (-z^4 + 3*z^3 - 2*z^2 - z + 1)*u^7 + (-z^5 + 7*z^4 - 11*z^3 + 2*z^2 + 3*z)*u^6 + (5*z^5 - 18*z^4 + 12*z^3 + 3*z^2 - 1)*u^5 + (z^6 - 11*z^5 + 22*z^4 + z^3 - 6*z^2 - 4*z + 1)*u^4 + (-2*z^6 + 15*z^5 - 9*z^4 - 15*z^3 - 3*z^2 + 4*z)*u^3 + (3*z^6 - 11*z^5 - 10*z^4 + 4*z^3 + 6*z^2)*u^2 + (-3*z^6 + 6*z^4 + 4*z^3)*u + (z^6 + 2*z^5 + z^4) */
1515 : static const long X1_31_r_n_0[9] = {
1516 : evaltyp(t_VECSMALL) | _evallg(9), vZ, 0, 0, 0, 0, 1, 2, 1 }; /* z^6 + 2*z^5 + z^4 */
1517 : static const long X1_31_r_n_1[9] = {
1518 : evaltyp(t_VECSMALL) | _evallg(9), vZ, 0, 0, 0, 4, 6, 0, -3 }; /* -3*z^6 + 6*z^4 + 4*z^3 */
1519 : static const long X1_31_r_n_2[9] = {
1520 : evaltyp(t_VECSMALL) | _evallg(9), vZ, 0, 0, 6, 4, -10, -11, 3 }; /* 3*z^6 - 11*z^5 - 10*z^4 + 4*z^3 + 6*z^2 */
1521 : static const long X1_31_r_n_3[9] = {
1522 : evaltyp(t_VECSMALL) | _evallg(9), vZ, 0, 4, -3, -15, -9, 15, -2 }; /* -2*z^6 + 15*z^5 - 9*z^4 - 15*z^3 - 3*z^2 + 4*z */
1523 : static const long X1_31_r_n_4[9] = {
1524 : evaltyp(t_VECSMALL) | _evallg(9), vZ, 1, -4, -6, 1, 22, -11, 1 }; /* z^6 - 11*z^5 + 22*z^4 + z^3 - 6*z^2 - 4*z + 1 */
1525 : static const long X1_31_r_n_5[8] = {
1526 : evaltyp(t_VECSMALL) | _evallg(8), vZ, -1, 0, 3, 12, -18, 5 }; /* 5*z^5 - 18*z^4 + 12*z^3 + 3*z^2 - 1 */
1527 : static const long X1_31_r_n_6[8] = {
1528 : evaltyp(t_VECSMALL) | _evallg(8), vZ, 0, 3, 2, -11, 7, -1 }; /* -z^5 + 7*z^4 - 11*z^3 + 2*z^2 + 3*z */
1529 : static const long X1_31_r_n_7[7] = {
1530 : evaltyp(t_VECSMALL) | _evallg(7), vZ, 1, -1, -2, 3, -1 }; /* -z^4 + 3*z^3 - 2*z^2 - z + 1 */
1531 : static const long *X1_31_r_n[10] = {
1532 : (long *)(evaltyp(t_POL) | _evallg(10)), (long *)(evalvarn(0) | evalsigne(1)),
1533 : X1_31_r_n_0, X1_31_r_n_1, X1_31_r_n_2, X1_31_r_n_3, X1_31_r_n_4, X1_31_r_n_5, X1_31_r_n_6, X1_31_r_n_7
1534 : };
1535 : /* (-z + 1)*u^6 + (-4*z^2 + 5*z - 1)*u^5 + (-z^6 - z^5 + 5*z^4 - z^3 + 6*z^2 - 7*z + 1)*u^4 + (3*z^6 + 10*z^5 - 6*z^4 - 8*z^3 - 10*z^2 + 5*z)*u^3 + (-z^6 - 14*z^5 - 10*z^4 + z^3 + 8*z^2)*u^2 + (-2*z^6 + 2*z^5 + 7*z^4 + 5*z^3)*u + (z^6 + 2*z^5 + z^4) */
1536 : static const long X1_31_r_d_0[9] = {
1537 : evaltyp(t_VECSMALL) | _evallg(9), vZ, 0, 0, 0, 0, 1, 2, 1 }; /* z^6 + 2*z^5 + z^4 */
1538 : static const long X1_31_r_d_1[9] = {
1539 : evaltyp(t_VECSMALL) | _evallg(9), vZ, 0, 0, 0, 5, 7, 2, -2 }; /* -2*z^6 + 2*z^5 + 7*z^4 + 5*z^3 */
1540 : static const long X1_31_r_d_2[9] = {
1541 : evaltyp(t_VECSMALL) | _evallg(9), vZ, 0, 0, 8, 1, -10, -14, -1 }; /* -z^6 - 14*z^5 - 10*z^4 + z^3 + 8*z^2 */
1542 : static const long X1_31_r_d_3[9] = {
1543 : evaltyp(t_VECSMALL) | _evallg(9), vZ, 0, 5, -10, -8, -6, 10, 3 }; /* 3*z^6 + 10*z^5 - 6*z^4 - 8*z^3 - 10*z^2 + 5*z */
1544 : static const long X1_31_r_d_4[9] = {
1545 : evaltyp(t_VECSMALL) | _evallg(9), vZ, 1, -7, 6, -1, 5, -1, -1 }; /* -z^6 - z^5 + 5*z^4 - z^3 + 6*z^2 - 7*z + 1 */
1546 : static const long X1_31_r_d_5[5] = {
1547 : evaltyp(t_VECSMALL) | _evallg(5), vZ, -1, 5, -4 }; /* -4*z^2 + 5*z - 1 */
1548 : static const long X1_31_r_d_6[4] = {
1549 : evaltyp(t_VECSMALL) | _evallg(4), vZ, 1, -1 }; /* -z + 1 */
1550 : static const long *X1_31_r_d[9] = {
1551 : (long *)(evaltyp(t_POL) | _evallg(9)), (long *)(evalvarn(0) | evalsigne(1)),
1552 : X1_31_r_d_0, X1_31_r_d_1, X1_31_r_d_2, X1_31_r_d_3, X1_31_r_d_4, X1_31_r_d_5, X1_31_r_d_6
1553 : };
1554 : /* (-z^3 + 3*z^2 - z - 2)*u^6 + (-z^4 + 7*z^3 - 8*z^2 - 3*z + 1)*u^5 + (5*z^4 - 15*z^3 + 2*z^2 + 5*z + 1)*u^4 + (z^5 - 11*z^4 + 9*z^3 + 9*z^2 - z - 1)*u^3 + (-3*z^5 + 8*z^4 + 6*z^3 - 4*z^2 - 2*z)*u^2 + (3*z^5 + z^4 - 4*z^3 - 2*z^2)*u + (-z^5 - 2*z^4 - z^3) */
1555 : static const long X1_31_s_n_0[8] = {
1556 : evaltyp(t_VECSMALL) | _evallg(8), vZ, 0, 0, 0, -1, -2, -1 }; /* -z^5 - 2*z^4 - z^3 */
1557 : static const long X1_31_s_n_1[8] = {
1558 : evaltyp(t_VECSMALL) | _evallg(8), vZ, 0, 0, -2, -4, 1, 3 }; /* 3*z^5 + z^4 - 4*z^3 - 2*z^2 */
1559 : static const long X1_31_s_n_2[8] = {
1560 : evaltyp(t_VECSMALL) | _evallg(8), vZ, 0, -2, -4, 6, 8, -3 }; /* -3*z^5 + 8*z^4 + 6*z^3 - 4*z^2 - 2*z */
1561 : static const long X1_31_s_n_3[8] = {
1562 : evaltyp(t_VECSMALL) | _evallg(8), vZ, -1, -1, 9, 9, -11, 1 }; /* z^5 - 11*z^4 + 9*z^3 + 9*z^2 - z - 1 */
1563 : static const long X1_31_s_n_4[7] = {
1564 : evaltyp(t_VECSMALL) | _evallg(7), vZ, 1, 5, 2, -15, 5 }; /* 5*z^4 - 15*z^3 + 2*z^2 + 5*z + 1 */
1565 : static const long X1_31_s_n_5[7] = {
1566 : evaltyp(t_VECSMALL) | _evallg(7), vZ, 1, -3, -8, 7, -1 }; /* -z^4 + 7*z^3 - 8*z^2 - 3*z + 1 */
1567 : static const long X1_31_s_n_6[6] = {
1568 : evaltyp(t_VECSMALL) | _evallg(6), vZ, -2, -1, 3, -1 }; /* -z^3 + 3*z^2 - z - 2 */
1569 : static const long *X1_31_s_n[9] = {
1570 : (long *)(evaltyp(t_POL) | _evallg(9)), (long *)(evalvarn(0) | evalsigne(1)),
1571 : X1_31_s_n_0, X1_31_s_n_1, X1_31_s_n_2, X1_31_s_n_3, X1_31_s_n_4, X1_31_s_n_5, X1_31_s_n_6
1572 : };
1573 : /* (z^2 - z - 1)*u^6 + (2*z^3 - 4*z^2 - z)*u^5 + (z^4 - 6*z^3 + 3*z^2 + z + 1)*u^4 + (-z^5 - 7*z^4 + 5*z^3 + 4*z^2 + 2*z - 1)*u^3 + (10*z^4 + 7*z^3 - z^2 - 3*z)*u^2 + (2*z^5 - z^4 - 5*z^3 - 3*z^2)*u + (-z^5 - 2*z^4 - z^3) */
1574 : static const long X1_31_s_d_0[8] = {
1575 : evaltyp(t_VECSMALL) | _evallg(8), vZ, 0, 0, 0, -1, -2, -1 }; /* -z^5 - 2*z^4 - z^3 */
1576 : static const long X1_31_s_d_1[8] = {
1577 : evaltyp(t_VECSMALL) | _evallg(8), vZ, 0, 0, -3, -5, -1, 2 }; /* 2*z^5 - z^4 - 5*z^3 - 3*z^2 */
1578 : static const long X1_31_s_d_2[7] = {
1579 : evaltyp(t_VECSMALL) | _evallg(7), vZ, 0, -3, -1, 7, 10 }; /* 10*z^4 + 7*z^3 - z^2 - 3*z */
1580 : static const long X1_31_s_d_3[8] = {
1581 : evaltyp(t_VECSMALL) | _evallg(8), vZ, -1, 2, 4, 5, -7, -1 }; /* -z^5 - 7*z^4 + 5*z^3 + 4*z^2 + 2*z - 1 */
1582 : static const long X1_31_s_d_4[7] = {
1583 : evaltyp(t_VECSMALL) | _evallg(7), vZ, 1, 1, 3, -6, 1 }; /* z^4 - 6*z^3 + 3*z^2 + z + 1 */
1584 : static const long X1_31_s_d_5[6] = {
1585 : evaltyp(t_VECSMALL) | _evallg(6), vZ, 0, -1, -4, 2 }; /* 2*z^3 - 4*z^2 - z */
1586 : static const long X1_31_s_d_6[5] = {
1587 : evaltyp(t_VECSMALL) | _evallg(5), vZ, -1, -1, 1 }; /* z^2 - z - 1 */
1588 : static const long *X1_31_s_d[9] = {
1589 : (long *)(evaltyp(t_POL) | _evallg(9)), (long *)(evalvarn(0) | evalsigne(1)),
1590 : X1_31_s_d_0, X1_31_s_d_1, X1_31_s_d_2, X1_31_s_d_3, X1_31_s_d_4, X1_31_s_d_5, X1_31_s_d_6
1591 : };
1592 : /* (z^8 - 4*z^7 + 6*z^6 - 4*z^5 + z^4)*x^8 + (16*z^8 - 48*z^7 + 48*z^6 - 16*z^5)*x^7 + (z^11 - 2*z^10 + z^9 + 104*z^8 - 208*z^7 + 96*z^6 + 16*z^5 - 8*z^4 - z^3 + 2*z^2 - z)*x^6 + (12*z^11 - 12*z^10 + 352*z^8 - 352*z^7 - 96*z^6 + 96*z^5 - 12*z^3 + 12*z^2)*x^5 + (54*z^11 - 6*z^9 + 664*z^8 - 432*z^6 + 24*z^4 - 54*z^3 + 6*z)*x^4 + (112*z^11 + 112*z^10 + 64*z^9 + 768*z^8 + 768*z^7 - 128*z^6 - 128*z^5 + 64*z^4 - 48*z^3 - 48*z^2)*x^3 + (106*z^11 + 212*z^10 + 198*z^9 + 600*z^8 + 1020*z^7 + 576*z^6 + 132*z^5 + 168*z^4 + 90*z^3 - 20*z^2 - 10*z)*x^2 + (40*z^11 + 120*z^10 + 144*z^9 + 240*z^8 + 480*z^7 + 480*z^6 + 240*z^5 + 144*z^4 + 120*z^3 + 40*z^2)*x + (-z^12 + 6*z^10 - 15*z^8 + 20*z^6 - 15*z^4 + 6*z^2 - 1) */
1593 : static const long X1_32_crv_0[15] = {
1594 : evaltyp(t_VECSMALL) | _evallg(15), vZ, -1, 0, 6, 0, -15, 0, 20, 0, -15, 0, 6, 0, -1 }; /* -z^12 + 6*z^10 - 15*z^8 + 20*z^6 - 15*z^4 + 6*z^2 - 1 */
1595 : static const long X1_32_crv_1[14] = {
1596 : evaltyp(t_VECSMALL) | _evallg(14), vZ, 0, 0, 40, 120, 144, 240, 480, 480, 240, 144, 120, 40 }; /* 40*z^11 + 120*z^10 + 144*z^9 + 240*z^8 + 480*z^7 + 480*z^6 + 240*z^5 + 144*z^4 + 120*z^3 + 40*z^2 */
1597 : static const long X1_32_crv_2[14] = {
1598 : evaltyp(t_VECSMALL) | _evallg(14), vZ, 0, -10, -20, 90, 168, 132, 576, 1020, 600, 198, 212, 106 }; /* 106*z^11 + 212*z^10 + 198*z^9 + 600*z^8 + 1020*z^7 + 576*z^6 + 132*z^5 + 168*z^4 + 90*z^3 - 20*z^2 - 10*z */
1599 : static const long X1_32_crv_3[14] = {
1600 : evaltyp(t_VECSMALL) | _evallg(14), vZ, 0, 0, -48, -48, 64, -128, -128, 768, 768, 64, 112, 112 }; /* 112*z^11 + 112*z^10 + 64*z^9 + 768*z^8 + 768*z^7 - 128*z^6 - 128*z^5 + 64*z^4 - 48*z^3 - 48*z^2 */
1601 : static const long X1_32_crv_4[14] = {
1602 : evaltyp(t_VECSMALL) | _evallg(14), vZ, 0, 6, 0, -54, 24, 0, -432, 0, 664, -6, 0, 54 }; /* 54*z^11 - 6*z^9 + 664*z^8 - 432*z^6 + 24*z^4 - 54*z^3 + 6*z */
1603 : static const long X1_32_crv_5[14] = {
1604 : evaltyp(t_VECSMALL) | _evallg(14), vZ, 0, 0, 12, -12, 0, 96, -96, -352, 352, 0, -12, 12 }; /* 12*z^11 - 12*z^10 + 352*z^8 - 352*z^7 - 96*z^6 + 96*z^5 - 12*z^3 + 12*z^2 */
1605 : static const long X1_32_crv_6[14] = {
1606 : evaltyp(t_VECSMALL) | _evallg(14), vZ, 0, -1, 2, -1, -8, 16, 96, -208, 104, 1, -2, 1 }; /* z^11 - 2*z^10 + z^9 + 104*z^8 - 208*z^7 + 96*z^6 + 16*z^5 - 8*z^4 - z^3 + 2*z^2 - z */
1607 : static const long X1_32_crv_7[11] = {
1608 : evaltyp(t_VECSMALL) | _evallg(11), vZ, 0, 0, 0, 0, 0, -16, 48, -48, 16 }; /* 16*z^8 - 48*z^7 + 48*z^6 - 16*z^5 */
1609 : static const long X1_32_crv_8[11] = {
1610 : evaltyp(t_VECSMALL) | _evallg(11), vZ, 0, 0, 0, 0, 1, -4, 6, -4, 1 }; /* z^8 - 4*z^7 + 6*z^6 - 4*z^5 + z^4 */
1611 : static const long *X1_32_crv[11] = {
1612 : (long *)(evaltyp(t_POL) | _evallg(11)), (long *)(evalvarn(0) | evalsigne(1)),
1613 : X1_32_crv_0, X1_32_crv_1, X1_32_crv_2, X1_32_crv_3, X1_32_crv_4, X1_32_crv_5, X1_32_crv_6, X1_32_crv_7, X1_32_crv_8
1614 : };
1615 : /* (z - 1)*x + 2*z */
1616 : static const long X1_32_r_n_0[4] = {
1617 : evaltyp(t_VECSMALL) | _evallg(4), vZ, 0, 2 }; /* 2*z */
1618 : static const long X1_32_r_n_1[4] = {
1619 : evaltyp(t_VECSMALL) | _evallg(4), vZ, -1, 1 }; /* z - 1 */
1620 : static const long *X1_32_r_n[4] = {
1621 : (long *)(evaltyp(t_POL) | _evallg(4)), (long *)(evalvarn(0) | evalsigne(1)),
1622 : X1_32_r_n_0, X1_32_r_n_1
1623 : };
1624 : /* 2 */
1625 : static const long X1_32_r_d_0[3] = {
1626 : evaltyp(t_VECSMALL) | _evallg(3), vZ, 2 }; /* 2 */
1627 : static const long *X1_32_r_d[3] = {
1628 : (long *)(evaltyp(t_POL) | _evallg(3)), (long *)(evalvarn(0) | evalsigne(1)),
1629 : X1_32_r_d_0
1630 : };
1631 : /* (-z + 1)*x - 2*z */
1632 : static const long X1_32_s_n_0[4] = {
1633 : evaltyp(t_VECSMALL) | _evallg(4), vZ, 0, -2 }; /* -2*z */
1634 : static const long X1_32_s_n_1[4] = {
1635 : evaltyp(t_VECSMALL) | _evallg(4), vZ, 1, -1 }; /* -z + 1 */
1636 : static const long *X1_32_s_n[4] = {
1637 : (long *)(evaltyp(t_POL) | _evallg(4)), (long *)(evalvarn(0) | evalsigne(1)),
1638 : X1_32_s_n_0, X1_32_s_n_1
1639 : };
1640 : /* 2*z */
1641 : static const long X1_32_s_d_0[4] = {
1642 : evaltyp(t_VECSMALL) | _evallg(4), vZ, 0, 2 }; /* 2*z */
1643 : static const long *X1_32_s_d[3] = {
1644 : (long *)(evaltyp(t_POL) | _evallg(3)), (long *)(evalvarn(0) | evalsigne(1)),
1645 : X1_32_s_d_0
1646 : };
1647 : /* z^8*x^10 + (-z^17 - 2*z^16 - 4*z^15 - 6*z^14 - 9*z^13 - 12*z^12 - 16*z^11 - 20*z^10 - 25*z^9 - 18*z^8)*x^9 + (-3*z^17 - 15*z^16 - 24*z^15 - 28*z^14 - 16*z^13 + 6*z^12 + 32*z^11 + 32*z^10 - 33*z^9 - 155*z^8 - 188*z^7 - 108*z^6 - 58*z^5 - 28*z^4 - 12*z^3 - 4*z^2 - z)*x^8 + (-6*z^17 - 48*z^16 - 144*z^15 - 226*z^14 - 225*z^13 - 39*z^12 + 402*z^11 + 1116*z^10 + 1854*z^9 + 2071*z^8 + 1536*z^7 + 852*z^6 + 476*z^5 + 249*z^4 + 114*z^3 + 40*z^2 + 9*z)*x^7 + (-10*z^17 - 110*z^16 - 520*z^15 - 1464*z^14 - 3006*z^13 - 5160*z^12 - 7660*z^11 - 9656*z^10 - 9778*z^9 - 7536*z^8 - 4500*z^7 - 2580*z^6 - 1696*z^5 - 1028*z^4 - 508*z^3 - 180*z^2 - 36*z)*x^6 + (z^20 + 10*z^19 + 60*z^18 + 255*z^17 + 795*z^16 + 1872*z^15 + 3576*z^14 + 6042*z^13 + 9198*z^12 + 11872*z^11 + 12028*z^10 + 8886*z^9 + 4847*z^8 + 3188*z^7 + 3762*z^6 + 3917*z^5 + 2801*z^4 + 1422*z^3 + 480*z^2 + 84*z)*x^5 + (10*z^17 + 60*z^16 + 120*z^15 - 64*z^14 - 690*z^13 - 1026*z^12 + 392*z^11 + 3456*z^10 + 4980*z^9 + 1576*z^8 - 5292*z^7 - 10032*z^6 - 9630*z^5 - 6174*z^4 - 2808*z^3 - 840*z^2 - 126*z)*x^4 + (6*z^17 + 54*z^16 + 192*z^15 + 254*z^14 - 419*z^13 - 2392*z^12 - 4432*z^11 - 3020*z^10 + 4499*z^9 + 15607*z^8 + 23336*z^7 + 22966*z^6 + 16391*z^5 + 8779*z^4 + 3458*z^3 + 896*z^2 + 112*z - 1)*x^3 + (3*z^17 + 36*z^16 + 192*z^15 + 572*z^14 + 884*z^13 - 150*z^12 - 4536*z^11 - 13080*z^10 - 23253*z^9 - 29900*z^8 - 29288*z^7 - 22380*z^6 - 13480*z^5 - 6328*z^4 - 2184*z^3 - 476*z^2 - 41*z + 3)*x^2 + (z^17 + 15*z^16 + 108*z^15 + 494*z^14 + 1605*z^13 + 3927*z^12 + 7490*z^11 + 11376*z^10 + 13938*z^9 + 13882*z^8 + 11292*z^7 + 7506*z^6 + 4025*z^5 + 1659*z^4 + 462*z^3 + 56*z^2 - 9*z - 3)*x + (z^8 + 8*z^7 + 28*z^6 + 56*z^5 + 70*z^4 + 56*z^3 + 28*z^2 + 8*z + 1) */
1648 : static const long X1_33_crv_0[11] = {
1649 : evaltyp(t_VECSMALL) | _evallg(11), vZ, 1, 8, 28, 56, 70, 56, 28, 8, 1 }; /* z^8 + 8*z^7 + 28*z^6 + 56*z^5 + 70*z^4 + 56*z^3 + 28*z^2 + 8*z + 1 */
1650 : static const long X1_33_crv_1[20] = {
1651 : evaltyp(t_VECSMALL) | _evallg(20), vZ, -3, -9, 56, 462, 1659, 4025, 7506, 11292, 13882, 13938, 11376, 7490, 3927, 1605, 494, 108, 15, 1 }; /* z^17 + 15*z^16 + 108*z^15 + 494*z^14 + 1605*z^13 + 3927*z^12 + 7490*z^11 + 11376*z^10 + 13938*z^9 + 13882*z^8 + 11292*z^7 + 7506*z^6 + 4025*z^5 + 1659*z^4 + 462*z^3 + 56*z^2 - 9*z - 3 */
1652 : static const long X1_33_crv_2[20] = {
1653 : evaltyp(t_VECSMALL) | _evallg(20), vZ, 3, -41, -476, -2184, -6328, -13480, -22380, -29288, -29900, -23253, -13080, -4536, -150, 884, 572, 192, 36, 3 }; /* 3*z^17 + 36*z^16 + 192*z^15 + 572*z^14 + 884*z^13 - 150*z^12 - 4536*z^11 - 13080*z^10 - 23253*z^9 - 29900*z^8 - 29288*z^7 - 22380*z^6 - 13480*z^5 - 6328*z^4 - 2184*z^3 - 476*z^2 - 41*z + 3 */
1654 : static const long X1_33_crv_3[20] = {
1655 : evaltyp(t_VECSMALL) | _evallg(20), vZ, -1, 112, 896, 3458, 8779, 16391, 22966, 23336, 15607, 4499, -3020, -4432, -2392, -419, 254, 192, 54, 6 }; /* 6*z^17 + 54*z^16 + 192*z^15 + 254*z^14 - 419*z^13 - 2392*z^12 - 4432*z^11 - 3020*z^10 + 4499*z^9 + 15607*z^8 + 23336*z^7 + 22966*z^6 + 16391*z^5 + 8779*z^4 + 3458*z^3 + 896*z^2 + 112*z - 1 */
1656 : static const long X1_33_crv_4[20] = {
1657 : evaltyp(t_VECSMALL) | _evallg(20), vZ, 0, -126, -840, -2808, -6174, -9630, -10032, -5292, 1576, 4980, 3456, 392, -1026, -690, -64, 120, 60, 10 }; /* 10*z^17 + 60*z^16 + 120*z^15 - 64*z^14 - 690*z^13 - 1026*z^12 + 392*z^11 + 3456*z^10 + 4980*z^9 + 1576*z^8 - 5292*z^7 - 10032*z^6 - 9630*z^5 - 6174*z^4 - 2808*z^3 - 840*z^2 - 126*z */
1658 : static const long X1_33_crv_5[23] = {
1659 : evaltyp(t_VECSMALL) | _evallg(23), vZ, 0, 84, 480, 1422, 2801, 3917, 3762, 3188, 4847, 8886, 12028, 11872, 9198, 6042, 3576, 1872, 795, 255, 60, 10, 1 }; /* z^20 + 10*z^19 + 60*z^18 + 255*z^17 + 795*z^16 + 1872*z^15 + 3576*z^14 + 6042*z^13 + 9198*z^12 + 11872*z^11 + 12028*z^10 + 8886*z^9 + 4847*z^8 + 3188*z^7 + 3762*z^6 + 3917*z^5 + 2801*z^4 + 1422*z^3 + 480*z^2 + 84*z */
1660 : static const long X1_33_crv_6[20] = {
1661 : evaltyp(t_VECSMALL) | _evallg(20), vZ, 0, -36, -180, -508, -1028, -1696, -2580, -4500, -7536, -9778, -9656, -7660, -5160, -3006, -1464, -520, -110, -10 }; /* -10*z^17 - 110*z^16 - 520*z^15 - 1464*z^14 - 3006*z^13 - 5160*z^12 - 7660*z^11 - 9656*z^10 - 9778*z^9 - 7536*z^8 - 4500*z^7 - 2580*z^6 - 1696*z^5 - 1028*z^4 - 508*z^3 - 180*z^2 - 36*z */
1662 : static const long X1_33_crv_7[20] = {
1663 : evaltyp(t_VECSMALL) | _evallg(20), vZ, 0, 9, 40, 114, 249, 476, 852, 1536, 2071, 1854, 1116, 402, -39, -225, -226, -144, -48, -6 }; /* -6*z^17 - 48*z^16 - 144*z^15 - 226*z^14 - 225*z^13 - 39*z^12 + 402*z^11 + 1116*z^10 + 1854*z^9 + 2071*z^8 + 1536*z^7 + 852*z^6 + 476*z^5 + 249*z^4 + 114*z^3 + 40*z^2 + 9*z */
1664 : static const long X1_33_crv_8[20] = {
1665 : evaltyp(t_VECSMALL) | _evallg(20), vZ, 0, -1, -4, -12, -28, -58, -108, -188, -155, -33, 32, 32, 6, -16, -28, -24, -15, -3 }; /* -3*z^17 - 15*z^16 - 24*z^15 - 28*z^14 - 16*z^13 + 6*z^12 + 32*z^11 + 32*z^10 - 33*z^9 - 155*z^8 - 188*z^7 - 108*z^6 - 58*z^5 - 28*z^4 - 12*z^3 - 4*z^2 - z */
1666 : static const long X1_33_crv_9[20] = {
1667 : evaltyp(t_VECSMALL) | _evallg(20), vZ, 0, 0, 0, 0, 0, 0, 0, 0, -18, -25, -20, -16, -12, -9, -6, -4, -2, -1 }; /* -z^17 - 2*z^16 - 4*z^15 - 6*z^14 - 9*z^13 - 12*z^12 - 16*z^11 - 20*z^10 - 25*z^9 - 18*z^8 */
1668 : static const long X1_33_crv_10[11] = {
1669 : evaltyp(t_VECSMALL) | _evallg(11), vZ, 0, 0, 0, 0, 0, 0, 0, 0, 1 }; /* z^8 */
1670 : static const long *X1_33_crv[13] = {
1671 : (long *)(evaltyp(t_POL) | _evallg(13)), (long *)(evalvarn(0) | evalsigne(1)),
1672 : X1_33_crv_0, X1_33_crv_1, X1_33_crv_2, X1_33_crv_3, X1_33_crv_4, X1_33_crv_5, X1_33_crv_6, X1_33_crv_7, X1_33_crv_8, X1_33_crv_9, X1_33_crv_10
1673 : };
1674 : /* (z + 1) */
1675 : static const long X1_33_r_n_0[4] = {
1676 : evaltyp(t_VECSMALL) | _evallg(4), vZ, 1, 1 }; /* z + 1 */
1677 : static const long *X1_33_r_n[3] = {
1678 : (long *)(evaltyp(t_POL) | _evallg(3)), (long *)(evalvarn(0) | evalsigne(1)),
1679 : X1_33_r_n_0
1680 : };
1681 : /* z */
1682 : static const long *X1_33_r_d[3] = {
1683 : (long *)(evaltyp(t_POL) | _evallg(3)), (long *)(evalvarn(0) | evalsigne(1)),
1684 : FLX_Z
1685 : };
1686 : /* 1 */
1687 : static const long *X1_33_s_n[3] = {
1688 : (long *)(evaltyp(t_POL) | _evallg(3)), (long *)(evalvarn(0) | evalsigne(1)),
1689 : FLX_1
1690 : };
1691 : /* (-z - 1)*x + (z + 1) */
1692 : static const long X1_33_s_d_0[4] = {
1693 : evaltyp(t_VECSMALL) | _evallg(4), vZ, 1, 1 }; /* z + 1 */
1694 : static const long X1_33_s_d_1[4] = {
1695 : evaltyp(t_VECSMALL) | _evallg(4), vZ, -1, -1 }; /* -z - 1 */
1696 : static const long *X1_33_s_d[4] = {
1697 : (long *)(evaltyp(t_POL) | _evallg(4)), (long *)(evalvarn(0) | evalsigne(1)),
1698 : X1_33_s_d_0, X1_33_s_d_1
1699 : };
1700 : /* u^10 + (z^5 - z^2 - 4*z + 4)*u^9 + (8*z^5 - z^4 - 5*z^3 + z^2 - 12*z + 6)*u^8 + (5*z^7 - 2*z^6 + 16*z^5 - z^4 - 20*z^3 + 9*z^2 - 11*z + 4)*u^7 + (-z^8 + 24*z^7 + 2*z^6 + 7*z^5 - 36*z^3 + 8*z^2 + 1)*u^6 + (z^10 + z^9 - 7*z^8 + 40*z^7 + 26*z^6 + 2*z^5 + 8*z^4 - 29*z^3 - 3*z^2 + 5*z)*u^5 + (2*z^10 + 4*z^9 - 5*z^8 + 35*z^7 + 37*z^6 + 5*z^5 + 12*z^4 - 6*z^3 - 5*z^2 + 2*z)*u^4 + (z^10 + 4*z^9 + 7*z^8 + 28*z^7 + 29*z^6 + 7*z^5 + 5*z^4 + 3*z^3)*u^3 + (2*z^9 + 10*z^8 + 16*z^7 + 10*z^6 + 2*z^5 - z^4 + z^2)*u^2 + (z^9 + 5*z^8 + 5*z^7 - z^5 - z^4 - z^3)*u + (-z^7 - 2*z^6 - z^5) */
1701 : static const long X1_34_crv_0[10] = {
1702 : evaltyp(t_VECSMALL) | _evallg(10), vZ, 0, 0, 0, 0, 0, -1, -2, -1 }; /* -z^7 - 2*z^6 - z^5 */
1703 : static const long X1_34_crv_1[12] = {
1704 : evaltyp(t_VECSMALL) | _evallg(12), vZ, 0, 0, 0, -1, -1, -1, 0, 5, 5, 1 }; /* z^9 + 5*z^8 + 5*z^7 - z^5 - z^4 - z^3 */
1705 : static const long X1_34_crv_2[12] = {
1706 : evaltyp(t_VECSMALL) | _evallg(12), vZ, 0, 0, 1, 0, -1, 2, 10, 16, 10, 2 }; /* 2*z^9 + 10*z^8 + 16*z^7 + 10*z^6 + 2*z^5 - z^4 + z^2 */
1707 : static const long X1_34_crv_3[13] = {
1708 : evaltyp(t_VECSMALL) | _evallg(13), vZ, 0, 0, 0, 3, 5, 7, 29, 28, 7, 4, 1 }; /* z^10 + 4*z^9 + 7*z^8 + 28*z^7 + 29*z^6 + 7*z^5 + 5*z^4 + 3*z^3 */
1709 : static const long X1_34_crv_4[13] = {
1710 : evaltyp(t_VECSMALL) | _evallg(13), vZ, 0, 2, -5, -6, 12, 5, 37, 35, -5, 4, 2 }; /* 2*z^10 + 4*z^9 - 5*z^8 + 35*z^7 + 37*z^6 + 5*z^5 + 12*z^4 - 6*z^3 - 5*z^2 + 2*z */
1711 : static const long X1_34_crv_5[13] = {
1712 : evaltyp(t_VECSMALL) | _evallg(13), vZ, 0, 5, -3, -29, 8, 2, 26, 40, -7, 1, 1 }; /* z^10 + z^9 - 7*z^8 + 40*z^7 + 26*z^6 + 2*z^5 + 8*z^4 - 29*z^3 - 3*z^2 + 5*z */
1713 : static const long X1_34_crv_6[11] = {
1714 : evaltyp(t_VECSMALL) | _evallg(11), vZ, 1, 0, 8, -36, 0, 7, 2, 24, -1 }; /* -z^8 + 24*z^7 + 2*z^6 + 7*z^5 - 36*z^3 + 8*z^2 + 1 */
1715 : static const long X1_34_crv_7[10] = {
1716 : evaltyp(t_VECSMALL) | _evallg(10), vZ, 4, -11, 9, -20, -1, 16, -2, 5 }; /* 5*z^7 - 2*z^6 + 16*z^5 - z^4 - 20*z^3 + 9*z^2 - 11*z + 4 */
1717 : static const long X1_34_crv_8[8] = {
1718 : evaltyp(t_VECSMALL) | _evallg(8), vZ, 6, -12, 1, -5, -1, 8 }; /* 8*z^5 - z^4 - 5*z^3 + z^2 - 12*z + 6 */
1719 : static const long X1_34_crv_9[8] = {
1720 : evaltyp(t_VECSMALL) | _evallg(8), vZ, 4, -4, -1, 0, 0, 1 }; /* z^5 - z^2 - 4*z + 4 */
1721 : static const long *X1_34_crv[13] = {
1722 : (long *)(evaltyp(t_POL) | _evallg(13)), (long *)(evalvarn(0) | evalsigne(1)),
1723 : X1_34_crv_0, X1_34_crv_1, X1_34_crv_2, X1_34_crv_3, X1_34_crv_4, X1_34_crv_5, X1_34_crv_6, X1_34_crv_7, X1_34_crv_8, X1_34_crv_9, FLX_1
1724 : };
1725 : /* u^8 + (-z^2 - 3*z + 3)*u^7 + (-z^3 + 3*z^2 - 5*z + 3)*u^6 + (-3*z^4 - 11*z^3 + 7*z^2 - 2*z + 1)*u^5 + (2*z^5 + 2*z^4 - 15*z^3 + z^2 - z)*u^4 + (-2*z^6 + 5*z^4 - 7*z^3 - 3*z^2 - 2*z)*u^3 + (z^7 + 2*z^4 - z)*u^2 + (z^5 + z^4 + z^3 + z^2)*u + (z^6 + 2*z^5 + z^4) */
1726 : static const long X1_34_r_n_0[9] = {
1727 : evaltyp(t_VECSMALL) | _evallg(9), vZ, 0, 0, 0, 0, 1, 2, 1 }; /* z^6 + 2*z^5 + z^4 */
1728 : static const long X1_34_r_n_1[8] = {
1729 : evaltyp(t_VECSMALL) | _evallg(8), vZ, 0, 0, 1, 1, 1, 1 }; /* z^5 + z^4 + z^3 + z^2 */
1730 : static const long X1_34_r_n_2[10] = {
1731 : evaltyp(t_VECSMALL) | _evallg(10), vZ, 0, -1, 0, 0, 2, 0, 0, 1 }; /* z^7 + 2*z^4 - z */
1732 : static const long X1_34_r_n_3[9] = {
1733 : evaltyp(t_VECSMALL) | _evallg(9), vZ, 0, -2, -3, -7, 5, 0, -2 }; /* -2*z^6 + 5*z^4 - 7*z^3 - 3*z^2 - 2*z */
1734 : static const long X1_34_r_n_4[8] = {
1735 : evaltyp(t_VECSMALL) | _evallg(8), vZ, 0, -1, 1, -15, 2, 2 }; /* 2*z^5 + 2*z^4 - 15*z^3 + z^2 - z */
1736 : static const long X1_34_r_n_5[7] = {
1737 : evaltyp(t_VECSMALL) | _evallg(7), vZ, 1, -2, 7, -11, -3 }; /* -3*z^4 - 11*z^3 + 7*z^2 - 2*z + 1 */
1738 : static const long X1_34_r_n_6[6] = {
1739 : evaltyp(t_VECSMALL) | _evallg(6), vZ, 3, -5, 3, -1 }; /* -z^3 + 3*z^2 - 5*z + 3 */
1740 : static const long X1_34_r_n_7[5] = {
1741 : evaltyp(t_VECSMALL) | _evallg(5), vZ, 3, -3, -1 }; /* -z^2 - 3*z + 3 */
1742 : static const long *X1_34_r_n[11] = {
1743 : (long *)(evaltyp(t_POL) | _evallg(11)), (long *)(evalvarn(0) | evalsigne(1)),
1744 : X1_34_r_n_0, X1_34_r_n_1, X1_34_r_n_2, X1_34_r_n_3, X1_34_r_n_4, X1_34_r_n_5, X1_34_r_n_6, X1_34_r_n_7, FLX_1
1745 : };
1746 : /* (-z^3 + 1)*u^6 + (-z^4 - 4*z^3 + 2*z^2 + 3)*u^5 + (-2*z^5 - 2*z^4 - 4*z^3 + 2*z^2 - 3*z + 3)*u^4 + (-z^6 - 2*z^5 - 2*z^4 - 5*z^3 - 3*z^2 - 6*z + 1)*u^3 + (z^7 - z^5 - 2*z^4 - 2*z^3 - z^2 - 3*z)*u^2 + (2*z^5 + 3*z^4 + 3*z^3 + 2*z^2)*u + (z^6 + 2*z^5 + z^4) */
1747 : static const long X1_34_r_d_0[9] = {
1748 : evaltyp(t_VECSMALL) | _evallg(9), vZ, 0, 0, 0, 0, 1, 2, 1 }; /* z^6 + 2*z^5 + z^4 */
1749 : static const long X1_34_r_d_1[8] = {
1750 : evaltyp(t_VECSMALL) | _evallg(8), vZ, 0, 0, 2, 3, 3, 2 }; /* 2*z^5 + 3*z^4 + 3*z^3 + 2*z^2 */
1751 : static const long X1_34_r_d_2[10] = {
1752 : evaltyp(t_VECSMALL) | _evallg(10), vZ, 0, -3, -1, -2, -2, -1, 0, 1 }; /* z^7 - z^5 - 2*z^4 - 2*z^3 - z^2 - 3*z */
1753 : static const long X1_34_r_d_3[9] = {
1754 : evaltyp(t_VECSMALL) | _evallg(9), vZ, 1, -6, -3, -5, -2, -2, -1 }; /* -z^6 - 2*z^5 - 2*z^4 - 5*z^3 - 3*z^2 - 6*z + 1 */
1755 : static const long X1_34_r_d_4[8] = {
1756 : evaltyp(t_VECSMALL) | _evallg(8), vZ, 3, -3, 2, -4, -2, -2 }; /* -2*z^5 - 2*z^4 - 4*z^3 + 2*z^2 - 3*z + 3 */
1757 : static const long X1_34_r_d_5[7] = {
1758 : evaltyp(t_VECSMALL) | _evallg(7), vZ, 3, 0, 2, -4, -1 }; /* -z^4 - 4*z^3 + 2*z^2 + 3 */
1759 : static const long X1_34_r_d_6[6] = {
1760 : evaltyp(t_VECSMALL) | _evallg(6), vZ, 1, 0, 0, -1 }; /* -z^3 + 1 */
1761 : static const long *X1_34_r_d[9] = {
1762 : (long *)(evaltyp(t_POL) | _evallg(9)), (long *)(evalvarn(0) | evalsigne(1)),
1763 : X1_34_r_d_0, X1_34_r_d_1, X1_34_r_d_2, X1_34_r_d_3, X1_34_r_d_4, X1_34_r_d_5, X1_34_r_d_6
1764 : };
1765 : /* -u^7 + (z^2 + 3*z - 3)*u^6 + (z^3 - 2*z^2 + 5*z - 3)*u^5 + (3*z^4 + 10*z^3 - 4*z^2 + z - 1)*u^4 + (-2*z^5 + 2*z^4 + 14*z^3 - 2*z)*u^3 + (z^6 + z^4 + 6*z^3 + z^2 - z)*u^2 + (z^4 + z^3)*u + (z^5 + 2*z^4 + z^3) */
1766 : static const long X1_34_s_n_0[8] = {
1767 : evaltyp(t_VECSMALL) | _evallg(8), vZ, 0, 0, 0, 1, 2, 1 }; /* z^5 + 2*z^4 + z^3 */
1768 : static const long X1_34_s_n_1[7] = {
1769 : evaltyp(t_VECSMALL) | _evallg(7), vZ, 0, 0, 0, 1, 1 }; /* z^4 + z^3 */
1770 : static const long X1_34_s_n_2[9] = {
1771 : evaltyp(t_VECSMALL) | _evallg(9), vZ, 0, -1, 1, 6, 1, 0, 1 }; /* z^6 + z^4 + 6*z^3 + z^2 - z */
1772 : static const long X1_34_s_n_3[8] = {
1773 : evaltyp(t_VECSMALL) | _evallg(8), vZ, 0, -2, 0, 14, 2, -2 }; /* -2*z^5 + 2*z^4 + 14*z^3 - 2*z */
1774 : static const long X1_34_s_n_4[7] = {
1775 : evaltyp(t_VECSMALL) | _evallg(7), vZ, -1, 1, -4, 10, 3 }; /* 3*z^4 + 10*z^3 - 4*z^2 + z - 1 */
1776 : static const long X1_34_s_n_5[6] = {
1777 : evaltyp(t_VECSMALL) | _evallg(6), vZ, -3, 5, -2, 1 }; /* z^3 - 2*z^2 + 5*z - 3 */
1778 : static const long X1_34_s_n_6[5] = {
1779 : evaltyp(t_VECSMALL) | _evallg(5), vZ, -3, 3, 1 }; /* z^2 + 3*z - 3 */
1780 : static const long *X1_34_s_n[10] = {
1781 : (long *)(evaltyp(t_POL) | _evallg(10)), (long *)(evalvarn(0) | evalsigne(1)),
1782 : X1_34_s_n_0, X1_34_s_n_1, X1_34_s_n_2, X1_34_s_n_3, X1_34_s_n_4, X1_34_s_n_5, X1_34_s_n_6, FLX_m1
1783 : };
1784 : /* z*u^6 + (-z^2 + 3*z - 1)*u^5 + (4*z^3 - z^2 + z - 3)*u^4 + (-z^5 + 6*z^3 - z^2 - 2*z - 3)*u^3 + (z^6 + 3*z^3 + z^2 - 1)*u^2 + (2*z^4 + 3*z^3 + 2*z^2 + z)*u + (z^5 + 2*z^4 + z^3) */
1785 : static const long X1_34_s_d_0[8] = {
1786 : evaltyp(t_VECSMALL) | _evallg(8), vZ, 0, 0, 0, 1, 2, 1 }; /* z^5 + 2*z^4 + z^3 */
1787 : static const long X1_34_s_d_1[7] = {
1788 : evaltyp(t_VECSMALL) | _evallg(7), vZ, 0, 1, 2, 3, 2 }; /* 2*z^4 + 3*z^3 + 2*z^2 + z */
1789 : static const long X1_34_s_d_2[9] = {
1790 : evaltyp(t_VECSMALL) | _evallg(9), vZ, -1, 0, 1, 3, 0, 0, 1 }; /* z^6 + 3*z^3 + z^2 - 1 */
1791 : static const long X1_34_s_d_3[8] = {
1792 : evaltyp(t_VECSMALL) | _evallg(8), vZ, -3, -2, -1, 6, 0, -1 }; /* -z^5 + 6*z^3 - z^2 - 2*z - 3 */
1793 : static const long X1_34_s_d_4[6] = {
1794 : evaltyp(t_VECSMALL) | _evallg(6), vZ, -3, 1, -1, 4 }; /* 4*z^3 - z^2 + z - 3 */
1795 : static const long X1_34_s_d_5[5] = {
1796 : evaltyp(t_VECSMALL) | _evallg(5), vZ, -1, 3, -1 }; /* -z^2 + 3*z - 1 */
1797 : static const long *X1_34_s_d[9] = {
1798 : (long *)(evaltyp(t_POL) | _evallg(9)), (long *)(evalvarn(0) | evalsigne(1)),
1799 : X1_34_s_d_0, X1_34_s_d_1, X1_34_s_d_2, X1_34_s_d_3, X1_34_s_d_4, X1_34_s_d_5, FLX_Z
1800 : };
1801 : /* z^3*u^12 + (-z^7 - 8*z^4 - 6*z^3 - z)*u^11 + (7*z^8 + 5*z^7 + 25*z^5 + 44*z^4 + 12*z^3 + 7*z^2 + 5*z)*u^10 + (-18*z^9 - 32*z^8 - 7*z^7 - 34*z^6 - 122*z^5 - 80*z^4 - 27*z^3 - 32*z^2 - 8*z + 1)*u^9 + (-z^11 + 19*z^10 + 72*z^9 + 41*z^8 + 3*z^7 + 141*z^6 + 193*z^5 + 71*z^4 + 75*z^3 + 47*z^2 - 2*z - 3)*u^8 + (4*z^12 + 4*z^11 - 59*z^10 - 79*z^9 + 44*z^8 + 5*z^7 - 178*z^6 - 100*z^5 - 72*z^4 - 99*z^3 - 9*z^2 + 17*z + 3)*u^7 + (-6*z^13 - 32*z^12 - 24*z^11 + 45*z^10 - 43*z^9 - 174*z^8 - 37*z^7 + 35*z^6 - z^5 + 90*z^4 + 34*z^3 - 35*z^2 - 15*z - 1)*u^6 + (4*z^14 + 33*z^13 + 80*z^12 + 42*z^11 + 9*z^10 + 145*z^9 + 183*z^8 + 73*z^7 + 60*z^6 - 27*z^5 - 52*z^4 + 32*z^3 + 27*z^2 + 3*z)*u^5 + (-z^15 - 14*z^14 - 57*z^13 - 72*z^12 - 6*z^10 - 100*z^9 - 84*z^8 - 47*z^7 - 3*z^6 + 50*z^5 - 6*z^4 - 27*z^3 + 2*z)*u^4 + (2*z^15 + 16*z^14 + 36*z^13 + 6*z^12 - 45*z^11 - 13*z^10 + 25*z^9 + 11*z^8 - 7*z^7 - 36*z^6 - 15*z^5 + 19*z^4 - 8*z^2 - z)*u^3 + (-z^15 - 6*z^14 - 3*z^13 + 21*z^12 + 26*z^11 + z^10 - 3*z^9 + 9*z^8 + 20*z^7 + 16*z^6 - 8*z^5 - 7*z^4 + 7*z^3 + 4*z^2)*u^2 + (-3*z^13 - 6*z^12 + z^11 + 7*z^10 + z^9 - 6*z^8 - 7*z^7 + z^6 + 7*z^5 + z^4 - 3*z^3 - z^2)*u + (-z^12 - 3*z^11 - 3*z^10 - z^9 - z^7 - 3*z^6 - 3*z^5 - z^4) */
1802 : static const long X1_35_crv_0[15] = {
1803 : evaltyp(t_VECSMALL) | _evallg(15), vZ, 0, 0, 0, 0, -1, -3, -3, -1, 0, -1, -3, -3, -1 }; /* -z^12 - 3*z^11 - 3*z^10 - z^9 - z^7 - 3*z^6 - 3*z^5 - z^4 */
1804 : static const long X1_35_crv_1[16] = {
1805 : evaltyp(t_VECSMALL) | _evallg(16), vZ, 0, 0, -1, -3, 1, 7, 1, -7, -6, 1, 7, 1, -6, -3 }; /* -3*z^13 - 6*z^12 + z^11 + 7*z^10 + z^9 - 6*z^8 - 7*z^7 + z^6 + 7*z^5 + z^4 - 3*z^3 - z^2 */
1806 : static const long X1_35_crv_2[18] = {
1807 : evaltyp(t_VECSMALL) | _evallg(18), vZ, 0, 0, 4, 7, -7, -8, 16, 20, 9, -3, 1, 26, 21, -3, -6, -1 }; /* -z^15 - 6*z^14 - 3*z^13 + 21*z^12 + 26*z^11 + z^10 - 3*z^9 + 9*z^8 + 20*z^7 + 16*z^6 - 8*z^5 - 7*z^4 + 7*z^3 + 4*z^2 */
1808 : static const long X1_35_crv_3[18] = {
1809 : evaltyp(t_VECSMALL) | _evallg(18), vZ, 0, -1, -8, 0, 19, -15, -36, -7, 11, 25, -13, -45, 6, 36, 16, 2 }; /* 2*z^15 + 16*z^14 + 36*z^13 + 6*z^12 - 45*z^11 - 13*z^10 + 25*z^9 + 11*z^8 - 7*z^7 - 36*z^6 - 15*z^5 + 19*z^4 - 8*z^2 - z */
1810 : static const long X1_35_crv_4[18] = {
1811 : evaltyp(t_VECSMALL) | _evallg(18), vZ, 0, 2, 0, -27, -6, 50, -3, -47, -84, -100, -6, 0, -72, -57, -14, -1 }; /* -z^15 - 14*z^14 - 57*z^13 - 72*z^12 - 6*z^10 - 100*z^9 - 84*z^8 - 47*z^7 - 3*z^6 + 50*z^5 - 6*z^4 - 27*z^3 + 2*z */
1812 : static const long X1_35_crv_5[17] = {
1813 : evaltyp(t_VECSMALL) | _evallg(17), vZ, 0, 3, 27, 32, -52, -27, 60, 73, 183, 145, 9, 42, 80, 33, 4 }; /* 4*z^14 + 33*z^13 + 80*z^12 + 42*z^11 + 9*z^10 + 145*z^9 + 183*z^8 + 73*z^7 + 60*z^6 - 27*z^5 - 52*z^4 + 32*z^3 + 27*z^2 + 3*z */
1814 : static const long X1_35_crv_6[16] = {
1815 : evaltyp(t_VECSMALL) | _evallg(16), vZ, -1, -15, -35, 34, 90, -1, 35, -37, -174, -43, 45, -24, -32, -6 }; /* -6*z^13 - 32*z^12 - 24*z^11 + 45*z^10 - 43*z^9 - 174*z^8 - 37*z^7 + 35*z^6 - z^5 + 90*z^4 + 34*z^3 - 35*z^2 - 15*z - 1 */
1816 : static const long X1_35_crv_7[15] = {
1817 : evaltyp(t_VECSMALL) | _evallg(15), vZ, 3, 17, -9, -99, -72, -100, -178, 5, 44, -79, -59, 4, 4 }; /* 4*z^12 + 4*z^11 - 59*z^10 - 79*z^9 + 44*z^8 + 5*z^7 - 178*z^6 - 100*z^5 - 72*z^4 - 99*z^3 - 9*z^2 + 17*z + 3 */
1818 : static const long X1_35_crv_8[14] = {
1819 : evaltyp(t_VECSMALL) | _evallg(14), vZ, -3, -2, 47, 75, 71, 193, 141, 3, 41, 72, 19, -1 }; /* -z^11 + 19*z^10 + 72*z^9 + 41*z^8 + 3*z^7 + 141*z^6 + 193*z^5 + 71*z^4 + 75*z^3 + 47*z^2 - 2*z - 3 */
1820 : static const long X1_35_crv_9[12] = {
1821 : evaltyp(t_VECSMALL) | _evallg(12), vZ, 1, -8, -32, -27, -80, -122, -34, -7, -32, -18 }; /* -18*z^9 - 32*z^8 - 7*z^7 - 34*z^6 - 122*z^5 - 80*z^4 - 27*z^3 - 32*z^2 - 8*z + 1 */
1822 : static const long X1_35_crv_10[11] = {
1823 : evaltyp(t_VECSMALL) | _evallg(11), vZ, 0, 5, 7, 12, 44, 25, 0, 5, 7 }; /* 7*z^8 + 5*z^7 + 25*z^5 + 44*z^4 + 12*z^3 + 7*z^2 + 5*z */
1824 : static const long X1_35_crv_11[10] = {
1825 : evaltyp(t_VECSMALL) | _evallg(10), vZ, 0, -1, 0, -6, -8, 0, 0, -1 }; /* -z^7 - 8*z^4 - 6*z^3 - z */
1826 : static const long X1_35_crv_12[6] = {
1827 : evaltyp(t_VECSMALL) | _evallg(6), vZ, 0, 0, 0, 1 }; /* z^3 */
1828 : static const long *X1_35_crv[15] = {
1829 : (long *)(evaltyp(t_POL) | _evallg(15)), (long *)(evalvarn(0) | evalsigne(1)),
1830 : X1_35_crv_0, X1_35_crv_1, X1_35_crv_2, X1_35_crv_3, X1_35_crv_4, X1_35_crv_5, X1_35_crv_6, X1_35_crv_7, X1_35_crv_8, X1_35_crv_9, X1_35_crv_10, X1_35_crv_11, X1_35_crv_12
1831 : };
1832 : /* -z^8*u^19 + (11*z^9 + 8*z^8 + 2*z^6)*u^18 + (-51*z^10 - 83*z^9 - 24*z^8 - 20*z^7 - 13*z^6 - z^4)*u^17 + (125*z^11 + 359*z^10 + 234*z^9 + 118*z^8 + 124*z^7 + 30*z^6 + 7*z^5 + 4*z^4)*u^16 + (-156*z^12 - 804*z^11 - 940*z^10 - 498*z^9 - 527*z^8 - 273*z^7 - 46*z^6 - 25*z^5 - 4*z^4 + 2*z^3 + z^2)*u^15 + (35*z^13 + 861*z^12 + 1909*z^11 + 1379*z^10 + 1322*z^9 + 1091*z^8 + 261*z^7 + 70*z^6 + 19*z^5 - 16*z^4 - 15*z^3 - 2*z^2)*u^14 + (174*z^14 + 19*z^13 - 1703*z^12 - 2223*z^11 - 2147*z^10 - 2523*z^9 - 972*z^8 - 162*z^7 - 62*z^6 + 61*z^5 + 79*z^4 + 21*z^3 - 2*z^2 - z - 1)*u^13 + (-232*z^15 - 1155*z^14 - 552*z^13 + 1490*z^12 + 2193*z^11 + 3700*z^10 + 2378*z^9 + 472*z^8 + 272*z^7 - 65*z^6 - 225*z^5 - 88*z^4 + 21*z^3 + 11*z^2 + 11*z + 2)*u^12 + (72*z^16 + 1175*z^15 + 2713*z^14 + 1080*z^13 - 944*z^12 - 3365*z^11 - 3864*z^10 - 1239*z^9 - 855*z^8 - 294*z^7 + 373*z^6 + 253*z^5 - 90*z^4 - 57*z^3 - 46*z^2 - 21*z - 1)*u^11 + (85*z^17 - 152*z^16 - 2096*z^15 - 2809*z^14 - 902*z^13 + 1269*z^12 + 3806*z^11 + 2152*z^10 + 1495*z^9 + 1142*z^8 - 339*z^7 - 614*z^6 + 111*z^5 + 181*z^4 + 84*z^3 + 81*z^2 + 11*z)*u^10 + (-85*z^18 - 520*z^17 - 149*z^16 + 1678*z^15 + 1797*z^14 + 1203*z^13 - 1299*z^12 - 2155*z^11 - 1471*z^10 - 1685*z^9 + 163*z^8 + 1172*z^7 + 249*z^6 - 319*z^5 - 62*z^4 - 132*z^3 - 43*z^2)*u^9 + (19*z^19 + 357*z^18 + 1085*z^17 + 381*z^16 - 1194*z^15 - 2243*z^14 - 1704*z^13 + 870*z^12 + 1000*z^11 + 1263*z^10 - 131*z^9 - 1589*z^8 - 952*z^7 + 278*z^6 + 36*z^5 + 65*z^4 + 75*z^3 - z^2 + 2*z)*u^8 + (7*z^20 - 40*z^19 - 522*z^18 - 898*z^17 + 184*z^16 + 1590*z^15 + 2413*z^14 + 396*z^13 - 950*z^12 - 708*z^11 + 188*z^10 + 1491*z^9 + 1264*z^8 - 100*z^7 - 187*z^6 + 53*z^5 - 73*z^4 + 12*z^3 - 9*z^2 - 2*z)*u^7 + (-3*z^21 - 34*z^20 - 2*z^19 + 314*z^18 + 201*z^17 - 523*z^16 - 1148*z^15 - 515*z^14 + 1090*z^13 + 767*z^12 - 67*z^11 - 980*z^10 - 905*z^9 + 43*z^8 + 463*z^7 - 23*z^6 + 39*z^5 - 27*z^4 + 2*z^3 + 11*z^2)*u^6 + (9*z^21 + 56*z^20 + 40*z^19 - 101*z^18 - 10*z^17 + 100*z^16 + 74*z^15 - 730*z^14 - 802*z^13 - 104*z^12 + 449*z^11 + 429*z^10 - 71*z^9 - 525*z^8 - 125*z^7 + 20*z^6 + 34*z^5 + 32*z^4 - 13*z^3)*u^5 + (-9*z^21 - 37*z^20 + 79*z^18 + 103*z^17 + 86*z^16 + 178*z^15 + 385*z^14 + 109*z^13 - 137*z^12 - 168*z^11 + 29*z^10 + 289*z^9 + 172*z^8 - 57*z^7 - 42*z^6 - 50*z^5 + 4*z^4 - z^3)*u^4 + (3*z^21 + 7*z^20 - 26*z^19 - 43*z^18 - 24*z^17 + 43*z^16 - 13*z^15 - 29*z^14 + 28*z^13 + 49*z^12 + 24*z^11 - 54*z^10 - 82*z^9 + 35*z^8 + 40*z^7 + 31*z^6 - 2*z^5 - 4*z^4 + z^3 - z^2)*u^3 + (z^20 + 9*z^19 - 4*z^18 - 30*z^17 - 44*z^16 - 5*z^15 - 6*z^13 - 25*z^12 - 17*z^11 + 9*z^10 - 5*z^9 - 19*z^8 - 11*z^7 + z^6 + 8*z^5 - z^4)*u^2 + (5*z^18 + 7*z^17 - 8*z^15 - 4*z^14 + 4*z^13 + 6*z^12 - 5*z^11 - 10*z^10 - 4*z^9 - z^8 - z^7 - 5*z^6 - 2*z^5)*u + (z^17 + 2*z^16 + z^15 - z^14 - 2*z^13 + 2*z^11 + z^10 - z^9 - 2*z^8 - z^7) */
1833 : static const long X1_35_r_n_0[20] = {
1834 : evaltyp(t_VECSMALL) | _evallg(20), vZ, 0, 0, 0, 0, 0, 0, 0, -1, -2, -1, 1, 2, 0, -2, -1, 1, 2, 1 }; /* z^17 + 2*z^16 + z^15 - z^14 - 2*z^13 + 2*z^11 + z^10 - z^9 - 2*z^8 - z^7 */
1835 : static const long X1_35_r_n_1[21] = {
1836 : evaltyp(t_VECSMALL) | _evallg(21), vZ, 0, 0, 0, 0, 0, -2, -5, -1, -1, -4, -10, -5, 6, 4, -4, -8, 0, 7, 5 }; /* 5*z^18 + 7*z^17 - 8*z^15 - 4*z^14 + 4*z^13 + 6*z^12 - 5*z^11 - 10*z^10 - 4*z^9 - z^8 - z^7 - 5*z^6 - 2*z^5 */
1837 : static const long X1_35_r_n_2[23] = {
1838 : evaltyp(t_VECSMALL) | _evallg(23), vZ, 0, 0, 0, 0, -1, 8, 1, -11, -19, -5, 9, -17, -25, -6, 0, -5, -44, -30, -4, 9, 1 }; /* z^20 + 9*z^19 - 4*z^18 - 30*z^17 - 44*z^16 - 5*z^15 - 6*z^13 - 25*z^12 - 17*z^11 + 9*z^10 - 5*z^9 - 19*z^8 - 11*z^7 + z^6 + 8*z^5 - z^4 */
1839 : static const long X1_35_r_n_3[24] = {
1840 : evaltyp(t_VECSMALL) | _evallg(24), vZ, 0, 0, -1, 1, -4, -2, 31, 40, 35, -82, -54, 24, 49, 28, -29, -13, 43, -24, -43, -26, 7, 3 }; /* 3*z^21 + 7*z^20 - 26*z^19 - 43*z^18 - 24*z^17 + 43*z^16 - 13*z^15 - 29*z^14 + 28*z^13 + 49*z^12 + 24*z^11 - 54*z^10 - 82*z^9 + 35*z^8 + 40*z^7 + 31*z^6 - 2*z^5 - 4*z^4 + z^3 - z^2 */
1841 : static const long X1_35_r_n_4[24] = {
1842 : evaltyp(t_VECSMALL) | _evallg(24), vZ, 0, 0, 0, -1, 4, -50, -42, -57, 172, 289, 29, -168, -137, 109, 385, 178, 86, 103, 79, 0, -37, -9 }; /* -9*z^21 - 37*z^20 + 79*z^18 + 103*z^17 + 86*z^16 + 178*z^15 + 385*z^14 + 109*z^13 - 137*z^12 - 168*z^11 + 29*z^10 + 289*z^9 + 172*z^8 - 57*z^7 - 42*z^6 - 50*z^5 + 4*z^4 - z^3 */
1843 : static const long X1_35_r_n_5[24] = {
1844 : evaltyp(t_VECSMALL) | _evallg(24), vZ, 0, 0, 0, -13, 32, 34, 20, -125, -525, -71, 429, 449, -104, -802, -730, 74, 100, -10, -101, 40, 56, 9 }; /* 9*z^21 + 56*z^20 + 40*z^19 - 101*z^18 - 10*z^17 + 100*z^16 + 74*z^15 - 730*z^14 - 802*z^13 - 104*z^12 + 449*z^11 + 429*z^10 - 71*z^9 - 525*z^8 - 125*z^7 + 20*z^6 + 34*z^5 + 32*z^4 - 13*z^3 */
1845 : static const long X1_35_r_n_6[24] = {
1846 : evaltyp(t_VECSMALL) | _evallg(24), vZ, 0, 0, 11, 2, -27, 39, -23, 463, 43, -905, -980, -67, 767, 1090, -515, -1148, -523, 201, 314, -2, -34, -3 }; /* -3*z^21 - 34*z^20 - 2*z^19 + 314*z^18 + 201*z^17 - 523*z^16 - 1148*z^15 - 515*z^14 + 1090*z^13 + 767*z^12 - 67*z^11 - 980*z^10 - 905*z^9 + 43*z^8 + 463*z^7 - 23*z^6 + 39*z^5 - 27*z^4 + 2*z^3 + 11*z^2 */
1847 : static const long X1_35_r_n_7[23] = {
1848 : evaltyp(t_VECSMALL) | _evallg(23), vZ, 0, -2, -9, 12, -73, 53, -187, -100, 1264, 1491, 188, -708, -950, 396, 2413, 1590, 184, -898, -522, -40, 7 }; /* 7*z^20 - 40*z^19 - 522*z^18 - 898*z^17 + 184*z^16 + 1590*z^15 + 2413*z^14 + 396*z^13 - 950*z^12 - 708*z^11 + 188*z^10 + 1491*z^9 + 1264*z^8 - 100*z^7 - 187*z^6 + 53*z^5 - 73*z^4 + 12*z^3 - 9*z^2 - 2*z */
1849 : static const long X1_35_r_n_8[22] = {
1850 : evaltyp(t_VECSMALL) | _evallg(22), vZ, 0, 2, -1, 75, 65, 36, 278, -952, -1589, -131, 1263, 1000, 870, -1704, -2243, -1194, 381, 1085, 357, 19 }; /* 19*z^19 + 357*z^18 + 1085*z^17 + 381*z^16 - 1194*z^15 - 2243*z^14 - 1704*z^13 + 870*z^12 + 1000*z^11 + 1263*z^10 - 131*z^9 - 1589*z^8 - 952*z^7 + 278*z^6 + 36*z^5 + 65*z^4 + 75*z^3 - z^2 + 2*z */
1851 : static const long X1_35_r_n_9[21] = {
1852 : evaltyp(t_VECSMALL) | _evallg(21), vZ, 0, 0, -43, -132, -62, -319, 249, 1172, 163, -1685, -1471, -2155, -1299, 1203, 1797, 1678, -149, -520, -85 }; /* -85*z^18 - 520*z^17 - 149*z^16 + 1678*z^15 + 1797*z^14 + 1203*z^13 - 1299*z^12 - 2155*z^11 - 1471*z^10 - 1685*z^9 + 163*z^8 + 1172*z^7 + 249*z^6 - 319*z^5 - 62*z^4 - 132*z^3 - 43*z^2 */
1853 : static const long X1_35_r_n_10[20] = {
1854 : evaltyp(t_VECSMALL) | _evallg(20), vZ, 0, 11, 81, 84, 181, 111, -614, -339, 1142, 1495, 2152, 3806, 1269, -902, -2809, -2096, -152, 85 }; /* 85*z^17 - 152*z^16 - 2096*z^15 - 2809*z^14 - 902*z^13 + 1269*z^12 + 3806*z^11 + 2152*z^10 + 1495*z^9 + 1142*z^8 - 339*z^7 - 614*z^6 + 111*z^5 + 181*z^4 + 84*z^3 + 81*z^2 + 11*z */
1855 : static const long X1_35_r_n_11[19] = {
1856 : evaltyp(t_VECSMALL) | _evallg(19), vZ, -1, -21, -46, -57, -90, 253, 373, -294, -855, -1239, -3864, -3365, -944, 1080, 2713, 1175, 72 }; /* 72*z^16 + 1175*z^15 + 2713*z^14 + 1080*z^13 - 944*z^12 - 3365*z^11 - 3864*z^10 - 1239*z^9 - 855*z^8 - 294*z^7 + 373*z^6 + 253*z^5 - 90*z^4 - 57*z^3 - 46*z^2 - 21*z - 1 */
1857 : static const long X1_35_r_n_12[18] = {
1858 : evaltyp(t_VECSMALL) | _evallg(18), vZ, 2, 11, 11, 21, -88, -225, -65, 272, 472, 2378, 3700, 2193, 1490, -552, -1155, -232 }; /* -232*z^15 - 1155*z^14 - 552*z^13 + 1490*z^12 + 2193*z^11 + 3700*z^10 + 2378*z^9 + 472*z^8 + 272*z^7 - 65*z^6 - 225*z^5 - 88*z^4 + 21*z^3 + 11*z^2 + 11*z + 2 */
1859 : static const long X1_35_r_n_13[17] = {
1860 : evaltyp(t_VECSMALL) | _evallg(17), vZ, -1, -1, -2, 21, 79, 61, -62, -162, -972, -2523, -2147, -2223, -1703, 19, 174 }; /* 174*z^14 + 19*z^13 - 1703*z^12 - 2223*z^11 - 2147*z^10 - 2523*z^9 - 972*z^8 - 162*z^7 - 62*z^6 + 61*z^5 + 79*z^4 + 21*z^3 - 2*z^2 - z - 1 */
1861 : static const long X1_35_r_n_14[16] = {
1862 : evaltyp(t_VECSMALL) | _evallg(16), vZ, 0, 0, -2, -15, -16, 19, 70, 261, 1091, 1322, 1379, 1909, 861, 35 }; /* 35*z^13 + 861*z^12 + 1909*z^11 + 1379*z^10 + 1322*z^9 + 1091*z^8 + 261*z^7 + 70*z^6 + 19*z^5 - 16*z^4 - 15*z^3 - 2*z^2 */
1863 : static const long X1_35_r_n_15[15] = {
1864 : evaltyp(t_VECSMALL) | _evallg(15), vZ, 0, 0, 1, 2, -4, -25, -46, -273, -527, -498, -940, -804, -156 }; /* -156*z^12 - 804*z^11 - 940*z^10 - 498*z^9 - 527*z^8 - 273*z^7 - 46*z^6 - 25*z^5 - 4*z^4 + 2*z^3 + z^2 */
1865 : static const long X1_35_r_n_16[14] = {
1866 : evaltyp(t_VECSMALL) | _evallg(14), vZ, 0, 0, 0, 0, 4, 7, 30, 124, 118, 234, 359, 125 }; /* 125*z^11 + 359*z^10 + 234*z^9 + 118*z^8 + 124*z^7 + 30*z^6 + 7*z^5 + 4*z^4 */
1867 : static const long X1_35_r_n_17[13] = {
1868 : evaltyp(t_VECSMALL) | _evallg(13), vZ, 0, 0, 0, 0, -1, 0, -13, -20, -24, -83, -51 }; /* -51*z^10 - 83*z^9 - 24*z^8 - 20*z^7 - 13*z^6 - z^4 */
1869 : static const long X1_35_r_n_18[12] = {
1870 : evaltyp(t_VECSMALL) | _evallg(12), vZ, 0, 0, 0, 0, 0, 0, 2, 0, 8, 11 }; /* 11*z^9 + 8*z^8 + 2*z^6 */
1871 : static const long X1_35_r_n_19[11] = {
1872 : evaltyp(t_VECSMALL) | _evallg(11), vZ, 0, 0, 0, 0, 0, 0, 0, 0, -1 }; /* -z^8 */
1873 : static const long *X1_35_r_n[22] = {
1874 : (long *)(evaltyp(t_POL) | _evallg(22)), (long *)(evalvarn(0) | evalsigne(1)),
1875 : X1_35_r_n_0, X1_35_r_n_1, X1_35_r_n_2, X1_35_r_n_3, X1_35_r_n_4, X1_35_r_n_5, X1_35_r_n_6, X1_35_r_n_7, X1_35_r_n_8, X1_35_r_n_9, X1_35_r_n_10, X1_35_r_n_11, X1_35_r_n_12, X1_35_r_n_13, X1_35_r_n_14, X1_35_r_n_15, X1_35_r_n_16, X1_35_r_n_17, X1_35_r_n_18, X1_35_r_n_19
1876 : };
1877 : /* (-z^10 + z^7)*u^16 + (10*z^11 + 5*z^10 - 9*z^8 - 4*z^7 - 2*z^5 - z^4)*u^15 + (-40*z^12 - 47*z^11 - 8*z^10 + 32*z^9 + 35*z^8 + 4*z^7 + 19*z^6 + 17*z^5 + 4*z^4 + z^3 + 2*z^2)*u^14 + (-z^14 + 77*z^13 + 175*z^12 + 71*z^11 - 48*z^10 - 122*z^9 - 33*z^8 - 75*z^7 - 107*z^6 - 48*z^5 - 12*z^4 - 22*z^3 - 6*z^2 - 1)*u^13 + (7*z^15 - 50*z^14 - 307*z^13 - 248*z^12 - 21*z^11 + 193*z^10 + 109*z^9 + 149*z^8 + 348*z^7 + 235*z^6 + 71*z^5 + 95*z^4 + 63*z^3 + 3*z^2 + 9*z + 2)*u^12 + (-19*z^16 - 79*z^15 + 169*z^14 + 406*z^13 + 219*z^12 - 27*z^11 - 153*z^10 - 117*z^9 - 627*z^8 - 612*z^7 - 237*z^6 - 201*z^5 - 257*z^4 - 38*z^3 - 28*z^2 - 20*z - 1)*u^11 + (23*z^17 + 192*z^16 + 271*z^15 - 206*z^14 - 400*z^13 - 436*z^12 - 70*z^11 - 106*z^10 + 512*z^9 + 884*z^8 + 427*z^7 + 180*z^6 + 492*z^5 + 171*z^4 + 21*z^3 + 73*z^2 + 11*z)*u^10 + (-7*z^18 - 142*z^17 - 520*z^16 - 311*z^15 + 307*z^14 + 779*z^13 + 598*z^12 + 382*z^11 + 204*z^10 - 520*z^9 - 317*z^8 + 106*z^7 - 343*z^6 - 348*z^5 + 75*z^4 - 108*z^3 - 45*z^2)*u^9 + (-11*z^19 - 6*z^18 + 271*z^17 + 539*z^16 + 53*z^15 - 548*z^14 - 883*z^13 - 517*z^12 - 885*z^11 - 445*z^10 - 196*z^9 - 456*z^8 - 282*z^7 + 295*z^6 - 201*z^5 + 2*z^4 + 91*z^3 + 2*z)*u^8 + (11*z^20 + 75*z^19 + 84*z^18 - 240*z^17 - 307*z^16 - 33*z^15 + 466*z^14 + 459*z^13 + 840*z^12 + 1094*z^11 + 575*z^10 + 413*z^9 + 589*z^8 + 9*z^7 + 163*z^6 + 191*z^5 - 109*z^4 - z^3 - 10*z^2 - 2*z)*u^7 + (-3*z^21 - 45*z^20 - 158*z^19 - 94*z^18 + 231*z^17 + 363*z^16 + 171*z^15 - 237*z^14 - 385*z^13 - 810*z^12 - 341*z^11 + 132*z^10 - 60*z^9 - 109*z^8 + 43*z^7 - 218*z^6 + 86*z^5 + 11*z^4 + 11*z^3 + 12*z^2)*u^6 + (9*z^21 + 66*z^20 + 128*z^19 - 49*z^18 - 304*z^17 - 367*z^16 - 4*z^15 + 143*z^14 + 189*z^13 - 122*z^12 - 610*z^11 - 532*z^10 - 58*z^9 - 108*z^8 + 91*z^7 - 19*z^6 - 22*z^5 + 19*z^4 - 19*z^3)*u^5 + (-9*z^21 - 40*z^20 - 16*z^19 + 130*z^18 + 208*z^17 + 70*z^16 - 130*z^15 + 7*z^14 + 219*z^13 + 509*z^12 + 451*z^11 + 43*z^10 - 81*z^9 - 62*z^8 - 56*z^7 + 12*z^6 - 48*z^5 + 4*z^4)*u^4 + (3*z^21 + 7*z^20 - 27*z^19 - 58*z^18 - 16*z^17 + 104*z^16 + 68*z^15 - 67*z^14 - 162*z^13 - 115*z^12 + 88*z^11 + 186*z^10 + 80*z^9 + 36*z^8 - 18*z^7 + 18*z^6 + 6*z^5 - 3*z^4 - z^2)*u^3 + (z^20 + 9*z^19 - 4*z^18 - 36*z^17 - 51*z^16 + 2*z^15 + 26*z^14 + 8*z^13 - 60*z^12 - 85*z^11 - 24*z^10 + 28*z^9 + 38*z^8 + 19*z^7 + 4*z^5 - z^4 + z^3)*u^2 + (5*z^18 + 7*z^17 - z^16 - 10*z^15 - 4*z^14 + 9*z^13 + 14*z^12 - 3*z^11 - 19*z^10 - 17*z^9 - 7*z^8 + 3*z^7 + 2*z^6 + 2*z^5 + z^4)*u + (z^17 + 2*z^16 + z^15 - z^14 - 2*z^13 + 2*z^11 + z^10 - z^9 - 2*z^8 - z^7) */
1878 : static const long X1_35_r_d_0[20] = {
1879 : evaltyp(t_VECSMALL) | _evallg(20), vZ, 0, 0, 0, 0, 0, 0, 0, -1, -2, -1, 1, 2, 0, -2, -1, 1, 2, 1 }; /* z^17 + 2*z^16 + z^15 - z^14 - 2*z^13 + 2*z^11 + z^10 - z^9 - 2*z^8 - z^7 */
1880 : static const long X1_35_r_d_1[21] = {
1881 : evaltyp(t_VECSMALL) | _evallg(21), vZ, 0, 0, 0, 0, 1, 2, 2, 3, -7, -17, -19, -3, 14, 9, -4, -10, -1, 7, 5 }; /* 5*z^18 + 7*z^17 - z^16 - 10*z^15 - 4*z^14 + 9*z^13 + 14*z^12 - 3*z^11 - 19*z^10 - 17*z^9 - 7*z^8 + 3*z^7 + 2*z^6 + 2*z^5 + z^4 */
1882 : static const long X1_35_r_d_2[23] = {
1883 : evaltyp(t_VECSMALL) | _evallg(23), vZ, 0, 0, 0, 1, -1, 4, 0, 19, 38, 28, -24, -85, -60, 8, 26, 2, -51, -36, -4, 9, 1 }; /* z^20 + 9*z^19 - 4*z^18 - 36*z^17 - 51*z^16 + 2*z^15 + 26*z^14 + 8*z^13 - 60*z^12 - 85*z^11 - 24*z^10 + 28*z^9 + 38*z^8 + 19*z^7 + 4*z^5 - z^4 + z^3 */
1884 : static const long X1_35_r_d_3[24] = {
1885 : evaltyp(t_VECSMALL) | _evallg(24), vZ, 0, 0, -1, 0, -3, 6, 18, -18, 36, 80, 186, 88, -115, -162, -67, 68, 104, -16, -58, -27, 7, 3 }; /* 3*z^21 + 7*z^20 - 27*z^19 - 58*z^18 - 16*z^17 + 104*z^16 + 68*z^15 - 67*z^14 - 162*z^13 - 115*z^12 + 88*z^11 + 186*z^10 + 80*z^9 + 36*z^8 - 18*z^7 + 18*z^6 + 6*z^5 - 3*z^4 - z^2 */
1886 : static const long X1_35_r_d_4[24] = {
1887 : evaltyp(t_VECSMALL) | _evallg(24), vZ, 0, 0, 0, 0, 4, -48, 12, -56, -62, -81, 43, 451, 509, 219, 7, -130, 70, 208, 130, -16, -40, -9 }; /* -9*z^21 - 40*z^20 - 16*z^19 + 130*z^18 + 208*z^17 + 70*z^16 - 130*z^15 + 7*z^14 + 219*z^13 + 509*z^12 + 451*z^11 + 43*z^10 - 81*z^9 - 62*z^8 - 56*z^7 + 12*z^6 - 48*z^5 + 4*z^4 */
1888 : static const long X1_35_r_d_5[24] = {
1889 : evaltyp(t_VECSMALL) | _evallg(24), vZ, 0, 0, 0, -19, 19, -22, -19, 91, -108, -58, -532, -610, -122, 189, 143, -4, -367, -304, -49, 128, 66, 9 }; /* 9*z^21 + 66*z^20 + 128*z^19 - 49*z^18 - 304*z^17 - 367*z^16 - 4*z^15 + 143*z^14 + 189*z^13 - 122*z^12 - 610*z^11 - 532*z^10 - 58*z^9 - 108*z^8 + 91*z^7 - 19*z^6 - 22*z^5 + 19*z^4 - 19*z^3 */
1890 : static const long X1_35_r_d_6[24] = {
1891 : evaltyp(t_VECSMALL) | _evallg(24), vZ, 0, 0, 12, 11, 11, 86, -218, 43, -109, -60, 132, -341, -810, -385, -237, 171, 363, 231, -94, -158, -45, -3 }; /* -3*z^21 - 45*z^20 - 158*z^19 - 94*z^18 + 231*z^17 + 363*z^16 + 171*z^15 - 237*z^14 - 385*z^13 - 810*z^12 - 341*z^11 + 132*z^10 - 60*z^9 - 109*z^8 + 43*z^7 - 218*z^6 + 86*z^5 + 11*z^4 + 11*z^3 + 12*z^2 */
1892 : static const long X1_35_r_d_7[23] = {
1893 : evaltyp(t_VECSMALL) | _evallg(23), vZ, 0, -2, -10, -1, -109, 191, 163, 9, 589, 413, 575, 1094, 840, 459, 466, -33, -307, -240, 84, 75, 11 }; /* 11*z^20 + 75*z^19 + 84*z^18 - 240*z^17 - 307*z^16 - 33*z^15 + 466*z^14 + 459*z^13 + 840*z^12 + 1094*z^11 + 575*z^10 + 413*z^9 + 589*z^8 + 9*z^7 + 163*z^6 + 191*z^5 - 109*z^4 - z^3 - 10*z^2 - 2*z */
1894 : static const long X1_35_r_d_8[22] = {
1895 : evaltyp(t_VECSMALL) | _evallg(22), vZ, 0, 2, 0, 91, 2, -201, 295, -282, -456, -196, -445, -885, -517, -883, -548, 53, 539, 271, -6, -11 }; /* -11*z^19 - 6*z^18 + 271*z^17 + 539*z^16 + 53*z^15 - 548*z^14 - 883*z^13 - 517*z^12 - 885*z^11 - 445*z^10 - 196*z^9 - 456*z^8 - 282*z^7 + 295*z^6 - 201*z^5 + 2*z^4 + 91*z^3 + 2*z */
1896 : static const long X1_35_r_d_9[21] = {
1897 : evaltyp(t_VECSMALL) | _evallg(21), vZ, 0, 0, -45, -108, 75, -348, -343, 106, -317, -520, 204, 382, 598, 779, 307, -311, -520, -142, -7 }; /* -7*z^18 - 142*z^17 - 520*z^16 - 311*z^15 + 307*z^14 + 779*z^13 + 598*z^12 + 382*z^11 + 204*z^10 - 520*z^9 - 317*z^8 + 106*z^7 - 343*z^6 - 348*z^5 + 75*z^4 - 108*z^3 - 45*z^2 */
1898 : static const long X1_35_r_d_10[20] = {
1899 : evaltyp(t_VECSMALL) | _evallg(20), vZ, 0, 11, 73, 21, 171, 492, 180, 427, 884, 512, -106, -70, -436, -400, -206, 271, 192, 23 }; /* 23*z^17 + 192*z^16 + 271*z^15 - 206*z^14 - 400*z^13 - 436*z^12 - 70*z^11 - 106*z^10 + 512*z^9 + 884*z^8 + 427*z^7 + 180*z^6 + 492*z^5 + 171*z^4 + 21*z^3 + 73*z^2 + 11*z */
1900 : static const long X1_35_r_d_11[19] = {
1901 : evaltyp(t_VECSMALL) | _evallg(19), vZ, -1, -20, -28, -38, -257, -201, -237, -612, -627, -117, -153, -27, 219, 406, 169, -79, -19 }; /* -19*z^16 - 79*z^15 + 169*z^14 + 406*z^13 + 219*z^12 - 27*z^11 - 153*z^10 - 117*z^9 - 627*z^8 - 612*z^7 - 237*z^6 - 201*z^5 - 257*z^4 - 38*z^3 - 28*z^2 - 20*z - 1 */
1902 : static const long X1_35_r_d_12[18] = {
1903 : evaltyp(t_VECSMALL) | _evallg(18), vZ, 2, 9, 3, 63, 95, 71, 235, 348, 149, 109, 193, -21, -248, -307, -50, 7 }; /* 7*z^15 - 50*z^14 - 307*z^13 - 248*z^12 - 21*z^11 + 193*z^10 + 109*z^9 + 149*z^8 + 348*z^7 + 235*z^6 + 71*z^5 + 95*z^4 + 63*z^3 + 3*z^2 + 9*z + 2 */
1904 : static const long X1_35_r_d_13[17] = {
1905 : evaltyp(t_VECSMALL) | _evallg(17), vZ, -1, 0, -6, -22, -12, -48, -107, -75, -33, -122, -48, 71, 175, 77, -1 }; /* -z^14 + 77*z^13 + 175*z^12 + 71*z^11 - 48*z^10 - 122*z^9 - 33*z^8 - 75*z^7 - 107*z^6 - 48*z^5 - 12*z^4 - 22*z^3 - 6*z^2 - 1 */
1906 : static const long X1_35_r_d_14[15] = {
1907 : evaltyp(t_VECSMALL) | _evallg(15), vZ, 0, 0, 2, 1, 4, 17, 19, 4, 35, 32, -8, -47, -40 }; /* -40*z^12 - 47*z^11 - 8*z^10 + 32*z^9 + 35*z^8 + 4*z^7 + 19*z^6 + 17*z^5 + 4*z^4 + z^3 + 2*z^2 */
1908 : static const long X1_35_r_d_15[14] = {
1909 : evaltyp(t_VECSMALL) | _evallg(14), vZ, 0, 0, 0, 0, -1, -2, 0, -4, -9, 0, 5, 10 }; /* 10*z^11 + 5*z^10 - 9*z^8 - 4*z^7 - 2*z^5 - z^4 */
1910 : static const long X1_35_r_d_16[13] = {
1911 : evaltyp(t_VECSMALL) | _evallg(13), vZ, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1 }; /* -z^10 + z^7 */
1912 : static const long *X1_35_r_d[19] = {
1913 : (long *)(evaltyp(t_POL) | _evallg(19)), (long *)(evalvarn(0) | evalsigne(1)),
1914 : X1_35_r_d_0, X1_35_r_d_1, X1_35_r_d_2, X1_35_r_d_3, X1_35_r_d_4, X1_35_r_d_5, X1_35_r_d_6, X1_35_r_d_7, X1_35_r_d_8, X1_35_r_d_9, X1_35_r_d_10, X1_35_r_d_11, X1_35_r_d_12, X1_35_r_d_13, X1_35_r_d_14, X1_35_r_d_15, X1_35_r_d_16
1915 : };
1916 : /* z^4*u^10 + (-5*z^5 - 4*z^4 - z^2)*u^9 + (7*z^6 + 18*z^5 + 4*z^4 + 4*z^3 + 2*z^2)*u^8 + (3*z^7 - 22*z^6 - 16*z^5 - 5*z^4 - 6*z^3 + z + 1)*u^7 + (-14*z^8 - 10*z^7 + 17*z^6 + z^5 + 5*z^4 - 3*z^3 - 3*z^2 - 6*z - 1)*u^6 + (7*z^9 + 36*z^8 + 8*z^7 + 2*z^6 - z^5 + 5*z^4 + 3*z^3 + 10*z^2 + 6*z)*u^5 + (4*z^10 - 15*z^9 - 23*z^8 + 2*z^6 + 3*z^5 + z^4 - 3*z^3 - 9*z^2)*u^4 + (-3*z^11 - 9*z^10 + 8*z^9 - 2*z^8 - 4*z^7 - 9*z^6 - 5*z^5 - 6*z^4 + 6*z^3 - z^2)*u^3 + (6*z^11 + 5*z^10 + 3*z^8 + 4*z^7 + 3*z^6 + 5*z^5 - 3*z^4 + z^2 - z)*u^2 + (-3*z^11 + z^10 - z^8 - z^7 - 2*z^6 + z^4 - 2*z^3)*u + (-z^10 - z^5) */
1917 : static const long X1_35_s_n_0[13] = {
1918 : evaltyp(t_VECSMALL) | _evallg(13), vZ, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1 }; /* -z^10 - z^5 */
1919 : static const long X1_35_s_n_1[14] = {
1920 : evaltyp(t_VECSMALL) | _evallg(14), vZ, 0, 0, 0, -2, 1, 0, -2, -1, -1, 0, 1, -3 }; /* -3*z^11 + z^10 - z^8 - z^7 - 2*z^6 + z^4 - 2*z^3 */
1921 : static const long X1_35_s_n_2[14] = {
1922 : evaltyp(t_VECSMALL) | _evallg(14), vZ, 0, -1, 1, 0, -3, 5, 3, 4, 3, 0, 5, 6 }; /* 6*z^11 + 5*z^10 + 3*z^8 + 4*z^7 + 3*z^6 + 5*z^5 - 3*z^4 + z^2 - z */
1923 : static const long X1_35_s_n_3[14] = {
1924 : evaltyp(t_VECSMALL) | _evallg(14), vZ, 0, 0, -1, 6, -6, -5, -9, -4, -2, 8, -9, -3 }; /* -3*z^11 - 9*z^10 + 8*z^9 - 2*z^8 - 4*z^7 - 9*z^6 - 5*z^5 - 6*z^4 + 6*z^3 - z^2 */
1925 : static const long X1_35_s_n_4[13] = {
1926 : evaltyp(t_VECSMALL) | _evallg(13), vZ, 0, 0, -9, -3, 1, 3, 2, 0, -23, -15, 4 }; /* 4*z^10 - 15*z^9 - 23*z^8 + 2*z^6 + 3*z^5 + z^4 - 3*z^3 - 9*z^2 */
1927 : static const long X1_35_s_n_5[12] = {
1928 : evaltyp(t_VECSMALL) | _evallg(12), vZ, 0, 6, 10, 3, 5, -1, 2, 8, 36, 7 }; /* 7*z^9 + 36*z^8 + 8*z^7 + 2*z^6 - z^5 + 5*z^4 + 3*z^3 + 10*z^2 + 6*z */
1929 : static const long X1_35_s_n_6[11] = {
1930 : evaltyp(t_VECSMALL) | _evallg(11), vZ, -1, -6, -3, -3, 5, 1, 17, -10, -14 }; /* -14*z^8 - 10*z^7 + 17*z^6 + z^5 + 5*z^4 - 3*z^3 - 3*z^2 - 6*z - 1 */
1931 : static const long X1_35_s_n_7[10] = {
1932 : evaltyp(t_VECSMALL) | _evallg(10), vZ, 1, 1, 0, -6, -5, -16, -22, 3 }; /* 3*z^7 - 22*z^6 - 16*z^5 - 5*z^4 - 6*z^3 + z + 1 */
1933 : static const long X1_35_s_n_8[9] = {
1934 : evaltyp(t_VECSMALL) | _evallg(9), vZ, 0, 0, 2, 4, 4, 18, 7 }; /* 7*z^6 + 18*z^5 + 4*z^4 + 4*z^3 + 2*z^2 */
1935 : static const long X1_35_s_n_9[8] = {
1936 : evaltyp(t_VECSMALL) | _evallg(8), vZ, 0, 0, -1, 0, -4, -5 }; /* -5*z^5 - 4*z^4 - z^2 */
1937 : static const long X1_35_s_n_10[7] = {
1938 : evaltyp(t_VECSMALL) | _evallg(7), vZ, 0, 0, 0, 0, 1 }; /* z^4 */
1939 : static const long *X1_35_s_n[13] = {
1940 : (long *)(evaltyp(t_POL) | _evallg(13)), (long *)(evalvarn(0) | evalsigne(1)),
1941 : X1_35_s_n_0, X1_35_s_n_1, X1_35_s_n_2, X1_35_s_n_3, X1_35_s_n_4, X1_35_s_n_5, X1_35_s_n_6, X1_35_s_n_7, X1_35_s_n_8, X1_35_s_n_9, X1_35_s_n_10
1942 : };
1943 : /* z^5*u^9 + (-6*z^6 - 3*z^5 - z^3 - z^2)*u^8 + (13*z^7 + 16*z^6 + 2*z^5 + 5*z^4 + 8*z^3 + 2*z^2 + 1)*u^7 + (-10*z^8 - 31*z^7 - 9*z^6 - 10*z^5 - 22*z^4 - 13*z^3 + z^2 - 5*z - 1)*u^6 + (-3*z^9 + 21*z^8 + 16*z^7 + 10*z^6 + 30*z^5 + 28*z^4 - 3*z^3 + 6*z^2 + 6*z)*u^5 + (8*z^10 + 7*z^9 - 11*z^8 - 5*z^7 - 22*z^6 - 25*z^5 + 5*z^4 + 6*z^3 - 10*z^2)*u^4 + (-3*z^11 - 16*z^10 - 3*z^9 + z^8 + 7*z^7 + 6*z^6 - 8*z^5 - 20*z^4 + 5*z^3)*u^3 + (6*z^11 + 8*z^10 - z^9 + 3*z^7 + 7*z^6 + 16*z^5 + z^4 - 2*z^3 - z)*u^2 + (-3*z^11 + z^10 + z^9 - z^8 - 2*z^7 - 4*z^6 - z^5 + 3*z^4 + z^2)*u + (-z^10 - z^5) */
1944 : static const long X1_35_s_d_0[13] = {
1945 : evaltyp(t_VECSMALL) | _evallg(13), vZ, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1 }; /* -z^10 - z^5 */
1946 : static const long X1_35_s_d_1[14] = {
1947 : evaltyp(t_VECSMALL) | _evallg(14), vZ, 0, 0, 1, 0, 3, -1, -4, -2, -1, 1, 1, -3 }; /* -3*z^11 + z^10 + z^9 - z^8 - 2*z^7 - 4*z^6 - z^5 + 3*z^4 + z^2 */
1948 : static const long X1_35_s_d_2[14] = {
1949 : evaltyp(t_VECSMALL) | _evallg(14), vZ, 0, -1, 0, -2, 1, 16, 7, 3, 0, -1, 8, 6 }; /* 6*z^11 + 8*z^10 - z^9 + 3*z^7 + 7*z^6 + 16*z^5 + z^4 - 2*z^3 - z */
1950 : static const long X1_35_s_d_3[14] = {
1951 : evaltyp(t_VECSMALL) | _evallg(14), vZ, 0, 0, 0, 5, -20, -8, 6, 7, 1, -3, -16, -3 }; /* -3*z^11 - 16*z^10 - 3*z^9 + z^8 + 7*z^7 + 6*z^6 - 8*z^5 - 20*z^4 + 5*z^3 */
1952 : static const long X1_35_s_d_4[13] = {
1953 : evaltyp(t_VECSMALL) | _evallg(13), vZ, 0, 0, -10, 6, 5, -25, -22, -5, -11, 7, 8 }; /* 8*z^10 + 7*z^9 - 11*z^8 - 5*z^7 - 22*z^6 - 25*z^5 + 5*z^4 + 6*z^3 - 10*z^2 */
1954 : static const long X1_35_s_d_5[12] = {
1955 : evaltyp(t_VECSMALL) | _evallg(12), vZ, 0, 6, 6, -3, 28, 30, 10, 16, 21, -3 }; /* -3*z^9 + 21*z^8 + 16*z^7 + 10*z^6 + 30*z^5 + 28*z^4 - 3*z^3 + 6*z^2 + 6*z */
1956 : static const long X1_35_s_d_6[11] = {
1957 : evaltyp(t_VECSMALL) | _evallg(11), vZ, -1, -5, 1, -13, -22, -10, -9, -31, -10 }; /* -10*z^8 - 31*z^7 - 9*z^6 - 10*z^5 - 22*z^4 - 13*z^3 + z^2 - 5*z - 1 */
1958 : static const long X1_35_s_d_7[10] = {
1959 : evaltyp(t_VECSMALL) | _evallg(10), vZ, 1, 0, 2, 8, 5, 2, 16, 13 }; /* 13*z^7 + 16*z^6 + 2*z^5 + 5*z^4 + 8*z^3 + 2*z^2 + 1 */
1960 : static const long X1_35_s_d_8[9] = {
1961 : evaltyp(t_VECSMALL) | _evallg(9), vZ, 0, 0, -1, -1, 0, -3, -6 }; /* -6*z^6 - 3*z^5 - z^3 - z^2 */
1962 : static const long X1_35_s_d_9[8] = {
1963 : evaltyp(t_VECSMALL) | _evallg(8), vZ, 0, 0, 0, 0, 0, 1 }; /* z^5 */
1964 : static const long *X1_35_s_d[12] = {
1965 : (long *)(evaltyp(t_POL) | _evallg(12)), (long *)(evalvarn(0) | evalsigne(1)),
1966 : X1_35_s_d_0, X1_35_s_d_1, X1_35_s_d_2, X1_35_s_d_3, X1_35_s_d_4, X1_35_s_d_5, X1_35_s_d_6, X1_35_s_d_7, X1_35_s_d_8, X1_35_s_d_9
1967 : };
1968 : /* (z^7 - 2*z^6 + 2*z^5 - z^4)*u^8 + (4*z^8 - 4*z^7 + 4*z^5 - 4*z^4)*u^7 + (6*z^9 + 2*z^8 - 10*z^7 + 10*z^6 + z^5 - 13*z^4 + 4*z^3 - z^2)*u^6 + (4*z^10 + 10*z^9 - 10*z^8 + 24*z^6 - 36*z^5 + 2*z^4 + 2*z^3 - 2*z^2)*u^5 + (z^11 + 8*z^10 + z^9 - 9*z^8 + 27*z^7 - 9*z^6 - 55*z^5 + 34*z^4 - 13*z^3)*u^4 + (2*z^11 + 4*z^10 - 4*z^9 + 8*z^8 + 26*z^7 - 54*z^6 - 24*z^5 + 50*z^4 - 38*z^3 + 12*z^2 - 2*z)*u^3 + (z^11 + 15*z^8 - 3*z^7 - 43*z^6 + 9*z^5 + 29*z^4 - 39*z^3 + 22*z^2 - 7*z + 1)*u^2 + (2*z^9 + 6*z^8 - 10*z^7 - 14*z^6 + 18*z^5 - 10*z^4 + 2*z^3)*u + (z^9 - 3*z^7 + z^6) */
1969 : static const long X1_36_crv_0[12] = {
1970 : evaltyp(t_VECSMALL) | _evallg(12), vZ, 0, 0, 0, 0, 0, 0, 1, -3, 0, 1 }; /* z^9 - 3*z^7 + z^6 */
1971 : static const long X1_36_crv_1[12] = {
1972 : evaltyp(t_VECSMALL) | _evallg(12), vZ, 0, 0, 0, 2, -10, 18, -14, -10, 6, 2 }; /* 2*z^9 + 6*z^8 - 10*z^7 - 14*z^6 + 18*z^5 - 10*z^4 + 2*z^3 */
1973 : static const long X1_36_crv_2[14] = {
1974 : evaltyp(t_VECSMALL) | _evallg(14), vZ, 1, -7, 22, -39, 29, 9, -43, -3, 15, 0, 0, 1 }; /* z^11 + 15*z^8 - 3*z^7 - 43*z^6 + 9*z^5 + 29*z^4 - 39*z^3 + 22*z^2 - 7*z + 1 */
1975 : static const long X1_36_crv_3[14] = {
1976 : evaltyp(t_VECSMALL) | _evallg(14), vZ, 0, -2, 12, -38, 50, -24, -54, 26, 8, -4, 4, 2 }; /* 2*z^11 + 4*z^10 - 4*z^9 + 8*z^8 + 26*z^7 - 54*z^6 - 24*z^5 + 50*z^4 - 38*z^3 + 12*z^2 - 2*z */
1977 : static const long X1_36_crv_4[14] = {
1978 : evaltyp(t_VECSMALL) | _evallg(14), vZ, 0, 0, 0, -13, 34, -55, -9, 27, -9, 1, 8, 1 }; /* z^11 + 8*z^10 + z^9 - 9*z^8 + 27*z^7 - 9*z^6 - 55*z^5 + 34*z^4 - 13*z^3 */
1979 : static const long X1_36_crv_5[13] = {
1980 : evaltyp(t_VECSMALL) | _evallg(13), vZ, 0, 0, -2, 2, 2, -36, 24, 0, -10, 10, 4 }; /* 4*z^10 + 10*z^9 - 10*z^8 + 24*z^6 - 36*z^5 + 2*z^4 + 2*z^3 - 2*z^2 */
1981 : static const long X1_36_crv_6[12] = {
1982 : evaltyp(t_VECSMALL) | _evallg(12), vZ, 0, 0, -1, 4, -13, 1, 10, -10, 2, 6 }; /* 6*z^9 + 2*z^8 - 10*z^7 + 10*z^6 + z^5 - 13*z^4 + 4*z^3 - z^2 */
1983 : static const long X1_36_crv_7[11] = {
1984 : evaltyp(t_VECSMALL) | _evallg(11), vZ, 0, 0, 0, 0, -4, 4, 0, -4, 4 }; /* 4*z^8 - 4*z^7 + 4*z^5 - 4*z^4 */
1985 : static const long X1_36_crv_8[10] = {
1986 : evaltyp(t_VECSMALL) | _evallg(10), vZ, 0, 0, 0, 0, -1, 2, -2, 1 }; /* z^7 - 2*z^6 + 2*z^5 - z^4 */
1987 : static const long *X1_36_crv[11] = {
1988 : (long *)(evaltyp(t_POL) | _evallg(11)), (long *)(evalvarn(0) | evalsigne(1)),
1989 : X1_36_crv_0, X1_36_crv_1, X1_36_crv_2, X1_36_crv_3, X1_36_crv_4, X1_36_crv_5, X1_36_crv_6, X1_36_crv_7, X1_36_crv_8
1990 : };
1991 : /* (z^3 - z)*u^4 + (4*z^4 - 4*z^2)*u^3 + (5*z^5 + z^4 - 6*z^3 - z^2 - 1)*u^2 + (2*z^6 + 2*z^5 - 4*z^4 - 2*z^3 - 2*z)*u + (z^6 - z^5 - 2*z^4 + 3*z^3 - 5*z^2 + 3*z - 1) */
1992 : static const long X1_36_r_n_0[9] = {
1993 : evaltyp(t_VECSMALL) | _evallg(9), vZ, -1, 3, -5, 3, -2, -1, 1 }; /* z^6 - z^5 - 2*z^4 + 3*z^3 - 5*z^2 + 3*z - 1 */
1994 : static const long X1_36_r_n_1[9] = {
1995 : evaltyp(t_VECSMALL) | _evallg(9), vZ, 0, -2, 0, -2, -4, 2, 2 }; /* 2*z^6 + 2*z^5 - 4*z^4 - 2*z^3 - 2*z */
1996 : static const long X1_36_r_n_2[8] = {
1997 : evaltyp(t_VECSMALL) | _evallg(8), vZ, -1, 0, -1, -6, 1, 5 }; /* 5*z^5 + z^4 - 6*z^3 - z^2 - 1 */
1998 : static const long X1_36_r_n_3[7] = {
1999 : evaltyp(t_VECSMALL) | _evallg(7), vZ, 0, 0, -4, 0, 4 }; /* 4*z^4 - 4*z^2 */
2000 : static const long X1_36_r_n_4[6] = {
2001 : evaltyp(t_VECSMALL) | _evallg(6), vZ, 0, -1, 0, 1 }; /* z^3 - z */
2002 : static const long *X1_36_r_n[7] = {
2003 : (long *)(evaltyp(t_POL) | _evallg(7)), (long *)(evalvarn(0) | evalsigne(1)),
2004 : X1_36_r_n_0, X1_36_r_n_1, X1_36_r_n_2, X1_36_r_n_3, X1_36_r_n_4
2005 : };
2006 : /* (z^3 - z)*u^4 + (6*z^4 - 2*z^3 - 4*z^2 + z)*u^3 + (7*z^5 + 3*z^4 - 12*z^3 + 3*z^2 + z - 1)*u^2 + (2*z^6 + 5*z^5 - 5*z^4 - 8*z^3 + 9*z^2 - 5*z + 1)*u + (z^6 - 3*z^4 + z^3) */
2007 : static const long X1_36_r_d_0[9] = {
2008 : evaltyp(t_VECSMALL) | _evallg(9), vZ, 0, 0, 0, 1, -3, 0, 1 }; /* z^6 - 3*z^4 + z^3 */
2009 : static const long X1_36_r_d_1[9] = {
2010 : evaltyp(t_VECSMALL) | _evallg(9), vZ, 1, -5, 9, -8, -5, 5, 2 }; /* 2*z^6 + 5*z^5 - 5*z^4 - 8*z^3 + 9*z^2 - 5*z + 1 */
2011 : static const long X1_36_r_d_2[8] = {
2012 : evaltyp(t_VECSMALL) | _evallg(8), vZ, -1, 1, 3, -12, 3, 7 }; /* 7*z^5 + 3*z^4 - 12*z^3 + 3*z^2 + z - 1 */
2013 : static const long X1_36_r_d_3[7] = {
2014 : evaltyp(t_VECSMALL) | _evallg(7), vZ, 0, 1, -4, -2, 6 }; /* 6*z^4 - 2*z^3 - 4*z^2 + z */
2015 : static const long X1_36_r_d_4[6] = {
2016 : evaltyp(t_VECSMALL) | _evallg(6), vZ, 0, -1, 0, 1 }; /* z^3 - z */
2017 : static const long *X1_36_r_d[7] = {
2018 : (long *)(evaltyp(t_POL) | _evallg(7)), (long *)(evalvarn(0) | evalsigne(1)),
2019 : X1_36_r_d_0, X1_36_r_d_1, X1_36_r_d_2, X1_36_r_d_3, X1_36_r_d_4
2020 : };
2021 : /* (z^3 - z)*u^4 + (2*z^4 + 2*z^3 - 4*z^2 - z)*u^3 + (z^5 + 3*z^4 - 2*z^3 - 6*z^2 - 1)*u^2 + (z^5 + z^4 - 4*z^3 - 5*z^2 + z - 1)*u + (-2*z^3 - 2*z^2 + 2*z - 1) */
2022 : static const long X1_36_s_n_0[6] = {
2023 : evaltyp(t_VECSMALL) | _evallg(6), vZ, -1, 2, -2, -2 }; /* -2*z^3 - 2*z^2 + 2*z - 1 */
2024 : static const long X1_36_s_n_1[8] = {
2025 : evaltyp(t_VECSMALL) | _evallg(8), vZ, -1, 1, -5, -4, 1, 1 }; /* z^5 + z^4 - 4*z^3 - 5*z^2 + z - 1 */
2026 : static const long X1_36_s_n_2[8] = {
2027 : evaltyp(t_VECSMALL) | _evallg(8), vZ, -1, 0, -6, -2, 3, 1 }; /* z^5 + 3*z^4 - 2*z^3 - 6*z^2 - 1 */
2028 : static const long X1_36_s_n_3[7] = {
2029 : evaltyp(t_VECSMALL) | _evallg(7), vZ, 0, -1, -4, 2, 2 }; /* 2*z^4 + 2*z^3 - 4*z^2 - z */
2030 : static const long X1_36_s_n_4[6] = {
2031 : evaltyp(t_VECSMALL) | _evallg(6), vZ, 0, -1, 0, 1 }; /* z^3 - z */
2032 : static const long *X1_36_s_n[7] = {
2033 : (long *)(evaltyp(t_POL) | _evallg(7)), (long *)(evalvarn(0) | evalsigne(1)),
2034 : X1_36_s_n_0, X1_36_s_n_1, X1_36_s_n_2, X1_36_s_n_3, X1_36_s_n_4
2035 : };
2036 : /* (z^3 - z)*u^4 + (4*z^4 - 4*z^2)*u^3 + (3*z^5 + 5*z^4 - 8*z^3 - 2*z^2 + z - 1)*u^2 + (4*z^5 - 10*z^3 + 4*z^2 - 2*z)*u + (z^5 - z^4 - 4*z^3 + 3*z^2 - z) */
2037 : static const long X1_36_s_d_0[8] = {
2038 : evaltyp(t_VECSMALL) | _evallg(8), vZ, 0, -1, 3, -4, -1, 1 }; /* z^5 - z^4 - 4*z^3 + 3*z^2 - z */
2039 : static const long X1_36_s_d_1[8] = {
2040 : evaltyp(t_VECSMALL) | _evallg(8), vZ, 0, -2, 4, -10, 0, 4 }; /* 4*z^5 - 10*z^3 + 4*z^2 - 2*z */
2041 : static const long X1_36_s_d_2[8] = {
2042 : evaltyp(t_VECSMALL) | _evallg(8), vZ, -1, 1, -2, -8, 5, 3 }; /* 3*z^5 + 5*z^4 - 8*z^3 - 2*z^2 + z - 1 */
2043 : static const long X1_36_s_d_3[7] = {
2044 : evaltyp(t_VECSMALL) | _evallg(7), vZ, 0, 0, -4, 0, 4 }; /* 4*z^4 - 4*z^2 */
2045 : static const long X1_36_s_d_4[6] = {
2046 : evaltyp(t_VECSMALL) | _evallg(6), vZ, 0, -1, 0, 1 }; /* z^3 - z */
2047 : static const long *X1_36_s_d[7] = {
2048 : (long *)(evaltyp(t_POL) | _evallg(7)), (long *)(evalvarn(0) | evalsigne(1)),
2049 : X1_36_s_d_0, X1_36_s_d_1, X1_36_s_d_2, X1_36_s_d_3, X1_36_s_d_4
2050 : };
2051 : /* (z^4 + 4*z^3 + 6*z^2 + 4*z + 1)*x^18 + (4*z^6 + 27*z^5 + 61*z^4 + 53*z^3 + 3*z^2 - 20*z - 8)*x^17 + (6*z^8 + 64*z^7 + 227*z^6 + 318*z^5 + 86*z^4 - 186*z^3 - 123*z^2 + 28*z + 28)*x^16 + (4*z^10 + 70*z^9 + 390*z^8 + 899*z^7 + 697*z^6 - 460*z^5 - 878*z^4 - 71*z^3 + 299*z^2 + 18*z - 56)*x^15 + (z^12 + 36*z^11 + 334*z^10 + 1256*z^9 + 1944*z^8 + 227*z^7 - 2560*z^6 - 1975*z^5 + 530*z^4 + 635*z^3 - 205*z^2 - 65*z + 70)*x^14 + (7*z^13 + 137*z^12 + 885*z^11 + 2414*z^10 + 2085*z^9 - 2931*z^8 - 6951*z^7 - 2982*z^6 + 2372*z^5 + 2034*z^4 + 306*z^3 + 38*z^2 - 50*z - 56)*x^13 + (21*z^14 + 294*z^13 + 1420*z^12 + 2579*z^11 - 870*z^10 - 9749*z^9 - 11481*z^8 + 664*z^7 + 10483*z^6 + 6962*z^5 - 527*z^4 - 2730*z^3 - 733*z^2 + 322*z + 28)*x^12 + (35*z^15 + 363*z^14 + 1210*z^13 + 414*z^12 - 6515*z^11 - 14529*z^10 - 6010*z^9 + 16913*z^8 + 23552*z^7 + 4413*z^6 - 13117*z^5 - 8675*z^4 + 2488*z^3 + 2270*z^2 - 494*z - 8)*x^11 + (26*z^16 + 184*z^15 + 129*z^14 - 2320*z^13 - 8129*z^12 - 7355*z^11 + 12096*z^10 + 31592*z^9 + 16424*z^8 - 20987*z^7 - 29776*z^6 - 1252*z^5 + 14573*z^4 + 1991*z^3 - 3145*z^2 + 412*z + 1)*x^10 + (-z^18 - 5*z^17 - 52*z^16 - 501*z^15 - 2023*z^14 - 2681*z^13 + 4715*z^12 + 19581*z^11 + 18001*z^10 - 14660*z^9 - 40593*z^8 - 16842*z^7 + 25005*z^6 + 20440*z^5 - 8210*z^4 - 5975*z^3 + 2525*z^2 - 210*z)*x^9 + (-z^19 - 10*z^18 - 52*z^17 - 172*z^16 - 162*z^15 + 1311*z^14 + 5622*z^13 + 7317*z^12 - 5435*z^11 - 25859*z^10 - 20839*z^9 + 16281*z^8 + 34475*z^7 + 2999*z^6 - 20366*z^5 - 2065*z^4 + 5725*z^3 - 1264*z^2 + 66*z)*x^8 + (3*z^18 + 32*z^17 + 180*z^16 + 595*z^15 + 789*z^14 - 1585*z^13 - 7639*z^12 - 9008*z^11 + 5183*z^10 + 22272*z^9 + 12561*z^8 - 16256*z^7 - 16253*z^6 + 7183*z^5 + 5741*z^4 - 3053*z^3 + 395*z^2 - 12*z)*x^7 + (-3*z^17 - 39*z^16 - 243*z^15 - 807*z^14 - 1079*z^13 + 1278*z^12 + 6267*z^11 + 6155*z^10 - 4834*z^9 - 13100*z^8 - 1905*z^7 + 9941*z^6 + 1372*z^5 - 3726*z^4 + 978*z^3 - 72*z^2 + z)*x^6 + (z^16 + 22*z^15 + 166*z^14 + 564*z^13 + 678*z^12 - 891*z^11 - 3469*z^10 - 2293*z^9 + 3656*z^8 + 4495*z^7 - 2053*z^6 - 2249*z^5 + 1275*z^4 - 180*z^3 + 6*z^2)*x^5 + (-5*z^14 - 60*z^13 - 210*z^12 - 180*z^11 + 555*z^10 + 1350*z^9 + 185*z^8 - 1655*z^7 - 400*z^6 + 910*z^5 - 240*z^4 + 15*z^3)*x^4 + (10*z^12 + 35*z^11 - 15*z^10 - 265*z^9 - 325*z^8 + 201*z^7 + 321*z^6 - 180*z^5 + 20*z^4)*x^3 + (26*z^9 + 77*z^8 + 30*z^7 - 72*z^6 + 15*z^5)*x^2 + (-z^9 - 7*z^8 - 12*z^7 + 6*z^6)*x + z^7 */
2052 : static const long X1_37_crv_0[10] = {
2053 : evaltyp(t_VECSMALL) | _evallg(10), vZ, 0, 0, 0, 0, 0, 0, 0, 1 }; /* z^7 */
2054 : static const long X1_37_crv_1[12] = {
2055 : evaltyp(t_VECSMALL) | _evallg(12), vZ, 0, 0, 0, 0, 0, 0, 6, -12, -7, -1 }; /* -z^9 - 7*z^8 - 12*z^7 + 6*z^6 */
2056 : static const long X1_37_crv_2[12] = {
2057 : evaltyp(t_VECSMALL) | _evallg(12), vZ, 0, 0, 0, 0, 0, 15, -72, 30, 77, 26 }; /* 26*z^9 + 77*z^8 + 30*z^7 - 72*z^6 + 15*z^5 */
2058 : static const long X1_37_crv_3[15] = {
2059 : evaltyp(t_VECSMALL) | _evallg(15), vZ, 0, 0, 0, 0, 20, -180, 321, 201, -325, -265, -15, 35, 10 }; /* 10*z^12 + 35*z^11 - 15*z^10 - 265*z^9 - 325*z^8 + 201*z^7 + 321*z^6 - 180*z^5 + 20*z^4 */
2060 : static const long X1_37_crv_4[17] = {
2061 : evaltyp(t_VECSMALL) | _evallg(17), vZ, 0, 0, 0, 15, -240, 910, -400, -1655, 185, 1350, 555, -180, -210, -60, -5 }; /* -5*z^14 - 60*z^13 - 210*z^12 - 180*z^11 + 555*z^10 + 1350*z^9 + 185*z^8 - 1655*z^7 - 400*z^6 + 910*z^5 - 240*z^4 + 15*z^3 */
2062 : static const long X1_37_crv_5[19] = {
2063 : evaltyp(t_VECSMALL) | _evallg(19), vZ, 0, 0, 6, -180, 1275, -2249, -2053, 4495, 3656, -2293, -3469, -891, 678, 564, 166, 22, 1 }; /* z^16 + 22*z^15 + 166*z^14 + 564*z^13 + 678*z^12 - 891*z^11 - 3469*z^10 - 2293*z^9 + 3656*z^8 + 4495*z^7 - 2053*z^6 - 2249*z^5 + 1275*z^4 - 180*z^3 + 6*z^2 */
2064 : static const long X1_37_crv_6[20] = {
2065 : evaltyp(t_VECSMALL) | _evallg(20), vZ, 0, 1, -72, 978, -3726, 1372, 9941, -1905, -13100, -4834, 6155, 6267, 1278, -1079, -807, -243, -39, -3 }; /* -3*z^17 - 39*z^16 - 243*z^15 - 807*z^14 - 1079*z^13 + 1278*z^12 + 6267*z^11 + 6155*z^10 - 4834*z^9 - 13100*z^8 - 1905*z^7 + 9941*z^6 + 1372*z^5 - 3726*z^4 + 978*z^3 - 72*z^2 + z */
2066 : static const long X1_37_crv_7[21] = {
2067 : evaltyp(t_VECSMALL) | _evallg(21), vZ, 0, -12, 395, -3053, 5741, 7183, -16253, -16256, 12561, 22272, 5183, -9008, -7639, -1585, 789, 595, 180, 32, 3 }; /* 3*z^18 + 32*z^17 + 180*z^16 + 595*z^15 + 789*z^14 - 1585*z^13 - 7639*z^12 - 9008*z^11 + 5183*z^10 + 22272*z^9 + 12561*z^8 - 16256*z^7 - 16253*z^6 + 7183*z^5 + 5741*z^4 - 3053*z^3 + 395*z^2 - 12*z */
2068 : static const long X1_37_crv_8[22] = {
2069 : evaltyp(t_VECSMALL) | _evallg(22), vZ, 0, 66, -1264, 5725, -2065, -20366, 2999, 34475, 16281, -20839, -25859, -5435, 7317, 5622, 1311, -162, -172, -52, -10, -1 }; /* -z^19 - 10*z^18 - 52*z^17 - 172*z^16 - 162*z^15 + 1311*z^14 + 5622*z^13 + 7317*z^12 - 5435*z^11 - 25859*z^10 - 20839*z^9 + 16281*z^8 + 34475*z^7 + 2999*z^6 - 20366*z^5 - 2065*z^4 + 5725*z^3 - 1264*z^2 + 66*z */
2070 : static const long X1_37_crv_9[21] = {
2071 : evaltyp(t_VECSMALL) | _evallg(21), vZ, 0, -210, 2525, -5975, -8210, 20440, 25005, -16842, -40593, -14660, 18001, 19581, 4715, -2681, -2023, -501, -52, -5, -1 }; /* -z^18 - 5*z^17 - 52*z^16 - 501*z^15 - 2023*z^14 - 2681*z^13 + 4715*z^12 + 19581*z^11 + 18001*z^10 - 14660*z^9 - 40593*z^8 - 16842*z^7 + 25005*z^6 + 20440*z^5 - 8210*z^4 - 5975*z^3 + 2525*z^2 - 210*z */
2072 : static const long X1_37_crv_10[19] = {
2073 : evaltyp(t_VECSMALL) | _evallg(19), vZ, 1, 412, -3145, 1991, 14573, -1252, -29776, -20987, 16424, 31592, 12096, -7355, -8129, -2320, 129, 184, 26 }; /* 26*z^16 + 184*z^15 + 129*z^14 - 2320*z^13 - 8129*z^12 - 7355*z^11 + 12096*z^10 + 31592*z^9 + 16424*z^8 - 20987*z^7 - 29776*z^6 - 1252*z^5 + 14573*z^4 + 1991*z^3 - 3145*z^2 + 412*z + 1 */
2074 : static const long X1_37_crv_11[18] = {
2075 : evaltyp(t_VECSMALL) | _evallg(18), vZ, -8, -494, 2270, 2488, -8675, -13117, 4413, 23552, 16913, -6010, -14529, -6515, 414, 1210, 363, 35 }; /* 35*z^15 + 363*z^14 + 1210*z^13 + 414*z^12 - 6515*z^11 - 14529*z^10 - 6010*z^9 + 16913*z^8 + 23552*z^7 + 4413*z^6 - 13117*z^5 - 8675*z^4 + 2488*z^3 + 2270*z^2 - 494*z - 8 */
2076 : static const long X1_37_crv_12[17] = {
2077 : evaltyp(t_VECSMALL) | _evallg(17), vZ, 28, 322, -733, -2730, -527, 6962, 10483, 664, -11481, -9749, -870, 2579, 1420, 294, 21 }; /* 21*z^14 + 294*z^13 + 1420*z^12 + 2579*z^11 - 870*z^10 - 9749*z^9 - 11481*z^8 + 664*z^7 + 10483*z^6 + 6962*z^5 - 527*z^4 - 2730*z^3 - 733*z^2 + 322*z + 28 */
2078 : static const long X1_37_crv_13[16] = {
2079 : evaltyp(t_VECSMALL) | _evallg(16), vZ, -56, -50, 38, 306, 2034, 2372, -2982, -6951, -2931, 2085, 2414, 885, 137, 7 }; /* 7*z^13 + 137*z^12 + 885*z^11 + 2414*z^10 + 2085*z^9 - 2931*z^8 - 6951*z^7 - 2982*z^6 + 2372*z^5 + 2034*z^4 + 306*z^3 + 38*z^2 - 50*z - 56 */
2080 : static const long X1_37_crv_14[15] = {
2081 : evaltyp(t_VECSMALL) | _evallg(15), vZ, 70, -65, -205, 635, 530, -1975, -2560, 227, 1944, 1256, 334, 36, 1 }; /* z^12 + 36*z^11 + 334*z^10 + 1256*z^9 + 1944*z^8 + 227*z^7 - 2560*z^6 - 1975*z^5 + 530*z^4 + 635*z^3 - 205*z^2 - 65*z + 70 */
2082 : static const long X1_37_crv_15[13] = {
2083 : evaltyp(t_VECSMALL) | _evallg(13), vZ, -56, 18, 299, -71, -878, -460, 697, 899, 390, 70, 4 }; /* 4*z^10 + 70*z^9 + 390*z^8 + 899*z^7 + 697*z^6 - 460*z^5 - 878*z^4 - 71*z^3 + 299*z^2 + 18*z - 56 */
2084 : static const long X1_37_crv_16[11] = {
2085 : evaltyp(t_VECSMALL) | _evallg(11), vZ, 28, 28, -123, -186, 86, 318, 227, 64, 6 }; /* 6*z^8 + 64*z^7 + 227*z^6 + 318*z^5 + 86*z^4 - 186*z^3 - 123*z^2 + 28*z + 28 */
2086 : static const long X1_37_crv_17[9] = {
2087 : evaltyp(t_VECSMALL) | _evallg(9), vZ, -8, -20, 3, 53, 61, 27, 4 }; /* 4*z^6 + 27*z^5 + 61*z^4 + 53*z^3 + 3*z^2 - 20*z - 8 */
2088 : static const long X1_37_crv_18[7] = {
2089 : evaltyp(t_VECSMALL) | _evallg(7), vZ, 1, 4, 6, 4, 1 }; /* z^4 + 4*z^3 + 6*z^2 + 4*z + 1 */
2090 : static const long *X1_37_crv[21] = {
2091 : (long *)(evaltyp(t_POL) | _evallg(21)), (long *)(evalvarn(0) | evalsigne(1)),
2092 : X1_37_crv_0, X1_37_crv_1, X1_37_crv_2, X1_37_crv_3, X1_37_crv_4, X1_37_crv_5, X1_37_crv_6, X1_37_crv_7, X1_37_crv_8, X1_37_crv_9, X1_37_crv_10, X1_37_crv_11, X1_37_crv_12, X1_37_crv_13, X1_37_crv_14, X1_37_crv_15, X1_37_crv_16, X1_37_crv_17, X1_37_crv_18
2093 : };
2094 : /* (z^2 + z + 1)*x - 1 */
2095 : static const long X1_37_r_n_1[5] = {
2096 : evaltyp(t_VECSMALL) | _evallg(5), vZ, 1, 1, 1 }; /* z^2 + z + 1 */
2097 : static const long *X1_37_r_n[4] = {
2098 : (long *)(evaltyp(t_POL) | _evallg(4)), (long *)(evalvarn(0) | evalsigne(1)),
2099 : FLX_m1, X1_37_r_n_1
2100 : };
2101 : /* x + (z^2 + z - 1) */
2102 : static const long X1_37_r_d_0[5] = {
2103 : evaltyp(t_VECSMALL) | _evallg(5), vZ, -1, 1, 1 }; /* z^2 + z - 1 */
2104 : static const long *X1_37_r_d[4] = {
2105 : (long *)(evaltyp(t_POL) | _evallg(4)), (long *)(evalvarn(0) | evalsigne(1)),
2106 : X1_37_r_d_0, FLX_1
2107 : };
2108 : /* (z + 1)*x - 1 */
2109 : static const long X1_37_s_n_1[4] = {
2110 : evaltyp(t_VECSMALL) | _evallg(4), vZ, 1, 1 }; /* z + 1 */
2111 : static const long *X1_37_s_n[4] = {
2112 : (long *)(evaltyp(t_POL) | _evallg(4)), (long *)(evalvarn(0) | evalsigne(1)),
2113 : FLX_m1, X1_37_s_n_1
2114 : };
2115 : /* x + (z - 1) */
2116 : static const long X1_37_s_d_0[4] = {
2117 : evaltyp(t_VECSMALL) | _evallg(4), vZ, -1, 1 }; /* z - 1 */
2118 : static const long *X1_37_s_d[4] = {
2119 : (long *)(evaltyp(t_POL) | _evallg(4)), (long *)(evalvarn(0) | evalsigne(1)),
2120 : X1_37_s_d_0, FLX_1
2121 : };
2122 : /* z^3*u^12 + (z^6 + 4*z^4 + 10*z^3 - z^2 + z)*u^11 + (4*z^7 + 10*z^6 + 2*z^5 + 39*z^4 + 41*z^3 - 5*z^2 + 7*z - 1)*u^10 + (z^9 + 4*z^8 + 38*z^7 + 32*z^6 + 26*z^5 + 167*z^4 + 88*z^3 - 10*z^2 + 17*z - 6)*u^9 + (4*z^10 + 3*z^9 + 39*z^8 + 141*z^7 + 28*z^6 + 144*z^5 + 396*z^4 + 94*z^3 - 18*z^2 + 12*z - 15)*u^8 + (6*z^11 + 14*z^10 + 173*z^8 + 234*z^7 - 44*z^6 + 421*z^5 + 545*z^4 - 4*z^3 - 50*z^2 - 17*z - 20)*u^7 + (4*z^12 + 25*z^11 - z^10 + 41*z^9 + 368*z^8 + 91*z^7 - 39*z^6 + 691*z^5 + 383*z^4 - 168*z^3 - 91*z^2 - 38*z - 15)*u^6 + (z^13 + 17*z^12 + 30*z^11 - 33*z^10 + 171*z^9 + 326*z^8 - 163*z^7 + 166*z^6 + 594*z^5 + 24*z^4 - 236*z^3 - 82*z^2 - 28*z - 6)*u^5 + (4*z^13 + 26*z^12 + 4*z^11 - 7*z^10 + 202*z^9 + 61*z^8 - 135*z^7 + 249*z^6 + 210*z^5 - 153*z^4 - 146*z^3 - 34*z^2 - 9*z - 1)*u^4 + (6*z^13 + 17*z^12 - 10*z^11 + 27*z^10 + 78*z^9 - 34*z^8 - 10*z^7 + 107*z^6 - 17*z^5 - 90*z^4 - 39*z^3 - 5*z^2 - z)*u^3 + (4*z^13 + 4*z^12 - 3*z^11 + 12*z^10 + 10*z^9 - 9*z^8 + 6*z^7 + 6*z^6 - 25*z^5 - 15*z^4 - 3*z^3)*u^2 + (z^13 + z^10 + z^9 - 3*z^7 - 3*z^6 - 3*z^5)*u - z^7 */
2123 : static const long X1_38_crv_0[10] = {
2124 : evaltyp(t_VECSMALL) | _evallg(10), vZ, 0, 0, 0, 0, 0, 0, 0, -1 }; /* -z^7 */
2125 : static const long X1_38_crv_1[16] = {
2126 : evaltyp(t_VECSMALL) | _evallg(16), vZ, 0, 0, 0, 0, 0, -3, -3, -3, 0, 1, 1, 0, 0, 1 }; /* z^13 + z^10 + z^9 - 3*z^7 - 3*z^6 - 3*z^5 */
2127 : static const long X1_38_crv_2[16] = {
2128 : evaltyp(t_VECSMALL) | _evallg(16), vZ, 0, 0, 0, -3, -15, -25, 6, 6, -9, 10, 12, -3, 4, 4 }; /* 4*z^13 + 4*z^12 - 3*z^11 + 12*z^10 + 10*z^9 - 9*z^8 + 6*z^7 + 6*z^6 - 25*z^5 - 15*z^4 - 3*z^3 */
2129 : static const long X1_38_crv_3[16] = {
2130 : evaltyp(t_VECSMALL) | _evallg(16), vZ, 0, -1, -5, -39, -90, -17, 107, -10, -34, 78, 27, -10, 17, 6 }; /* 6*z^13 + 17*z^12 - 10*z^11 + 27*z^10 + 78*z^9 - 34*z^8 - 10*z^7 + 107*z^6 - 17*z^5 - 90*z^4 - 39*z^3 - 5*z^2 - z */
2131 : static const long X1_38_crv_4[16] = {
2132 : evaltyp(t_VECSMALL) | _evallg(16), vZ, -1, -9, -34, -146, -153, 210, 249, -135, 61, 202, -7, 4, 26, 4 }; /* 4*z^13 + 26*z^12 + 4*z^11 - 7*z^10 + 202*z^9 + 61*z^8 - 135*z^7 + 249*z^6 + 210*z^5 - 153*z^4 - 146*z^3 - 34*z^2 - 9*z - 1 */
2133 : static const long X1_38_crv_5[16] = {
2134 : evaltyp(t_VECSMALL) | _evallg(16), vZ, -6, -28, -82, -236, 24, 594, 166, -163, 326, 171, -33, 30, 17, 1 }; /* z^13 + 17*z^12 + 30*z^11 - 33*z^10 + 171*z^9 + 326*z^8 - 163*z^7 + 166*z^6 + 594*z^5 + 24*z^4 - 236*z^3 - 82*z^2 - 28*z - 6 */
2135 : static const long X1_38_crv_6[15] = {
2136 : evaltyp(t_VECSMALL) | _evallg(15), vZ, -15, -38, -91, -168, 383, 691, -39, 91, 368, 41, -1, 25, 4 }; /* 4*z^12 + 25*z^11 - z^10 + 41*z^9 + 368*z^8 + 91*z^7 - 39*z^6 + 691*z^5 + 383*z^4 - 168*z^3 - 91*z^2 - 38*z - 15 */
2137 : static const long X1_38_crv_7[14] = {
2138 : evaltyp(t_VECSMALL) | _evallg(14), vZ, -20, -17, -50, -4, 545, 421, -44, 234, 173, 0, 14, 6 }; /* 6*z^11 + 14*z^10 + 173*z^8 + 234*z^7 - 44*z^6 + 421*z^5 + 545*z^4 - 4*z^3 - 50*z^2 - 17*z - 20 */
2139 : static const long X1_38_crv_8[13] = {
2140 : evaltyp(t_VECSMALL) | _evallg(13), vZ, -15, 12, -18, 94, 396, 144, 28, 141, 39, 3, 4 }; /* 4*z^10 + 3*z^9 + 39*z^8 + 141*z^7 + 28*z^6 + 144*z^5 + 396*z^4 + 94*z^3 - 18*z^2 + 12*z - 15 */
2141 : static const long X1_38_crv_9[12] = {
2142 : evaltyp(t_VECSMALL) | _evallg(12), vZ, -6, 17, -10, 88, 167, 26, 32, 38, 4, 1 }; /* z^9 + 4*z^8 + 38*z^7 + 32*z^6 + 26*z^5 + 167*z^4 + 88*z^3 - 10*z^2 + 17*z - 6 */
2143 : static const long X1_38_crv_10[10] = {
2144 : evaltyp(t_VECSMALL) | _evallg(10), vZ, -1, 7, -5, 41, 39, 2, 10, 4 }; /* 4*z^7 + 10*z^6 + 2*z^5 + 39*z^4 + 41*z^3 - 5*z^2 + 7*z - 1 */
2145 : static const long X1_38_crv_11[9] = {
2146 : evaltyp(t_VECSMALL) | _evallg(9), vZ, 0, 1, -1, 10, 4, 0, 1 }; /* z^6 + 4*z^4 + 10*z^3 - z^2 + z */
2147 : static const long X1_38_crv_12[6] = {
2148 : evaltyp(t_VECSMALL) | _evallg(6), vZ, 0, 0, 0, 1 }; /* z^3 */
2149 : static const long *X1_38_crv[15] = {
2150 : (long *)(evaltyp(t_POL) | _evallg(15)), (long *)(evalvarn(0) | evalsigne(1)),
2151 : X1_38_crv_0, X1_38_crv_1, X1_38_crv_2, X1_38_crv_3, X1_38_crv_4, X1_38_crv_5, X1_38_crv_6, X1_38_crv_7, X1_38_crv_8, X1_38_crv_9, X1_38_crv_10, X1_38_crv_11, X1_38_crv_12
2152 : };
2153 : /* (z^3 - z^2)*u^10 + (z^5 + 4*z^4 + 2*z^3 - 8*z^2 + 2*z)*u^9 + (6*z^6 + 10*z^5 + 14*z^4 - 13*z^3 - 17*z^2 + 9*z - 1)*u^8 + (15*z^7 + 25*z^6 + 22*z^5 + 10*z^4 - 45*z^3 - 11*z^2 + 13*z - 2)*u^7 + (21*z^8 + 46*z^7 + 21*z^6 + 33*z^5 - 20*z^4 - 63*z^3 + 5*z^2 + 12*z - 1)*u^6 + (17*z^9 + 58*z^8 + 14*z^7 + 25*z^6 + 39*z^5 - 67*z^4 - 42*z^3 + 21*z^2 + 10*z)*u^5 + (7*z^10 + 45*z^9 + 24*z^8 - 27*z^7 + 75*z^6 - 9*z^5 - 71*z^4 + 23*z^2 + 4*z)*u^4 + (z^11 + 17*z^10 + 30*z^9 - 32*z^8 + 9*z^7 + 68*z^6 - 49*z^5 - 32*z^4 + 17*z^3 + 8*z^2)*u^3 + (2*z^11 + 12*z^10 - 2*z^9 - 24*z^8 + 33*z^7 + 16*z^6 - 38*z^5 - z^4 + 6*z^3)*u^2 + (z^11 + 2*z^10 - 6*z^9 - z^8 + 13*z^7 - 6*z^6 - 9*z^5 + 2*z^4)*u + (-z^9 + z^8 + z^7 - 2*z^6) */
2154 : static const long X1_38_r_n_0[12] = {
2155 : evaltyp(t_VECSMALL) | _evallg(12), vZ, 0, 0, 0, 0, 0, 0, -2, 1, 1, -1 }; /* -z^9 + z^8 + z^7 - 2*z^6 */
2156 : static const long X1_38_r_n_1[14] = {
2157 : evaltyp(t_VECSMALL) | _evallg(14), vZ, 0, 0, 0, 0, 2, -9, -6, 13, -1, -6, 2, 1 }; /* z^11 + 2*z^10 - 6*z^9 - z^8 + 13*z^7 - 6*z^6 - 9*z^5 + 2*z^4 */
2158 : static const long X1_38_r_n_2[14] = {
2159 : evaltyp(t_VECSMALL) | _evallg(14), vZ, 0, 0, 0, 6, -1, -38, 16, 33, -24, -2, 12, 2 }; /* 2*z^11 + 12*z^10 - 2*z^9 - 24*z^8 + 33*z^7 + 16*z^6 - 38*z^5 - z^4 + 6*z^3 */
2160 : static const long X1_38_r_n_3[14] = {
2161 : evaltyp(t_VECSMALL) | _evallg(14), vZ, 0, 0, 8, 17, -32, -49, 68, 9, -32, 30, 17, 1 }; /* z^11 + 17*z^10 + 30*z^9 - 32*z^8 + 9*z^7 + 68*z^6 - 49*z^5 - 32*z^4 + 17*z^3 + 8*z^2 */
2162 : static const long X1_38_r_n_4[13] = {
2163 : evaltyp(t_VECSMALL) | _evallg(13), vZ, 0, 4, 23, 0, -71, -9, 75, -27, 24, 45, 7 }; /* 7*z^10 + 45*z^9 + 24*z^8 - 27*z^7 + 75*z^6 - 9*z^5 - 71*z^4 + 23*z^2 + 4*z */
2164 : static const long X1_38_r_n_5[12] = {
2165 : evaltyp(t_VECSMALL) | _evallg(12), vZ, 0, 10, 21, -42, -67, 39, 25, 14, 58, 17 }; /* 17*z^9 + 58*z^8 + 14*z^7 + 25*z^6 + 39*z^5 - 67*z^4 - 42*z^3 + 21*z^2 + 10*z */
2166 : static const long X1_38_r_n_6[11] = {
2167 : evaltyp(t_VECSMALL) | _evallg(11), vZ, -1, 12, 5, -63, -20, 33, 21, 46, 21 }; /* 21*z^8 + 46*z^7 + 21*z^6 + 33*z^5 - 20*z^4 - 63*z^3 + 5*z^2 + 12*z - 1 */
2168 : static const long X1_38_r_n_7[10] = {
2169 : evaltyp(t_VECSMALL) | _evallg(10), vZ, -2, 13, -11, -45, 10, 22, 25, 15 }; /* 15*z^7 + 25*z^6 + 22*z^5 + 10*z^4 - 45*z^3 - 11*z^2 + 13*z - 2 */
2170 : static const long X1_38_r_n_8[9] = {
2171 : evaltyp(t_VECSMALL) | _evallg(9), vZ, -1, 9, -17, -13, 14, 10, 6 }; /* 6*z^6 + 10*z^5 + 14*z^4 - 13*z^3 - 17*z^2 + 9*z - 1 */
2172 : static const long X1_38_r_n_9[8] = {
2173 : evaltyp(t_VECSMALL) | _evallg(8), vZ, 0, 2, -8, 2, 4, 1 }; /* z^5 + 4*z^4 + 2*z^3 - 8*z^2 + 2*z */
2174 : static const long X1_38_r_n_10[6] = {
2175 : evaltyp(t_VECSMALL) | _evallg(6), vZ, 0, 0, -1, 1 }; /* z^3 - z^2 */
2176 : static const long *X1_38_r_n[13] = {
2177 : (long *)(evaltyp(t_POL) | _evallg(13)), (long *)(evalvarn(0) | evalsigne(1)),
2178 : X1_38_r_n_0, X1_38_r_n_1, X1_38_r_n_2, X1_38_r_n_3, X1_38_r_n_4, X1_38_r_n_5, X1_38_r_n_6, X1_38_r_n_7, X1_38_r_n_8, X1_38_r_n_9, X1_38_r_n_10
2179 : };
2180 : /* (z^3 - z^2)*u^10 + (z^5 + 5*z^4 + z^3 - 8*z^2 + 2*z)*u^9 + (7*z^6 + 12*z^5 + 17*z^4 - 20*z^3 - 15*z^2 + 9*z - 1)*u^8 + (19*z^7 + 28*z^6 + 30*z^5 + 10*z^4 - 61*z^3 - 3*z^2 + 13*z - 2)*u^7 + (26*z^8 + 58*z^7 + 19*z^6 + 54*z^5 - 32*z^4 - 82*z^3 + 20*z^2 + 12*z - 1)*u^6 + (19*z^9 + 74*z^8 + 21*z^7 + 16*z^6 + 75*z^5 - 93*z^4 - 53*z^3 + 36*z^2 + 10*z)*u^5 + (7*z^10 + 51*z^9 + 43*z^8 - 41*z^7 + 72*z^6 + 35*z^5 - 106*z^4 - 2*z^3 + 31*z^2 + 4*z)*u^4 + (z^11 + 17*z^10 + 37*z^9 - 26*z^8 - 14*z^7 + 90*z^6 - 33*z^5 - 59*z^4 + 19*z^3 + 10*z^2)*u^3 + (2*z^11 + 12*z^10 + z^9 - 29*z^8 + 31*z^7 + 27*z^6 - 41*z^5 - 10*z^4 + 8*z^3)*u^2 + (z^11 + 2*z^10 - 6*z^9 - 2*z^8 + 14*z^7 - 5*z^6 - 11*z^5 + 2*z^4)*u + (-z^9 + z^8 + z^7 - 2*z^6) */
2181 : static const long X1_38_r_d_0[12] = {
2182 : evaltyp(t_VECSMALL) | _evallg(12), vZ, 0, 0, 0, 0, 0, 0, -2, 1, 1, -1 }; /* -z^9 + z^8 + z^7 - 2*z^6 */
2183 : static const long X1_38_r_d_1[14] = {
2184 : evaltyp(t_VECSMALL) | _evallg(14), vZ, 0, 0, 0, 0, 2, -11, -5, 14, -2, -6, 2, 1 }; /* z^11 + 2*z^10 - 6*z^9 - 2*z^8 + 14*z^7 - 5*z^6 - 11*z^5 + 2*z^4 */
2185 : static const long X1_38_r_d_2[14] = {
2186 : evaltyp(t_VECSMALL) | _evallg(14), vZ, 0, 0, 0, 8, -10, -41, 27, 31, -29, 1, 12, 2 }; /* 2*z^11 + 12*z^10 + z^9 - 29*z^8 + 31*z^7 + 27*z^6 - 41*z^5 - 10*z^4 + 8*z^3 */
2187 : static const long X1_38_r_d_3[14] = {
2188 : evaltyp(t_VECSMALL) | _evallg(14), vZ, 0, 0, 10, 19, -59, -33, 90, -14, -26, 37, 17, 1 }; /* z^11 + 17*z^10 + 37*z^9 - 26*z^8 - 14*z^7 + 90*z^6 - 33*z^5 - 59*z^4 + 19*z^3 + 10*z^2 */
2189 : static const long X1_38_r_d_4[13] = {
2190 : evaltyp(t_VECSMALL) | _evallg(13), vZ, 0, 4, 31, -2, -106, 35, 72, -41, 43, 51, 7 }; /* 7*z^10 + 51*z^9 + 43*z^8 - 41*z^7 + 72*z^6 + 35*z^5 - 106*z^4 - 2*z^3 + 31*z^2 + 4*z */
2191 : static const long X1_38_r_d_5[12] = {
2192 : evaltyp(t_VECSMALL) | _evallg(12), vZ, 0, 10, 36, -53, -93, 75, 16, 21, 74, 19 }; /* 19*z^9 + 74*z^8 + 21*z^7 + 16*z^6 + 75*z^5 - 93*z^4 - 53*z^3 + 36*z^2 + 10*z */
2193 : static const long X1_38_r_d_6[11] = {
2194 : evaltyp(t_VECSMALL) | _evallg(11), vZ, -1, 12, 20, -82, -32, 54, 19, 58, 26 }; /* 26*z^8 + 58*z^7 + 19*z^6 + 54*z^5 - 32*z^4 - 82*z^3 + 20*z^2 + 12*z - 1 */
2195 : static const long X1_38_r_d_7[10] = {
2196 : evaltyp(t_VECSMALL) | _evallg(10), vZ, -2, 13, -3, -61, 10, 30, 28, 19 }; /* 19*z^7 + 28*z^6 + 30*z^5 + 10*z^4 - 61*z^3 - 3*z^2 + 13*z - 2 */
2197 : static const long X1_38_r_d_8[9] = {
2198 : evaltyp(t_VECSMALL) | _evallg(9), vZ, -1, 9, -15, -20, 17, 12, 7 }; /* 7*z^6 + 12*z^5 + 17*z^4 - 20*z^3 - 15*z^2 + 9*z - 1 */
2199 : static const long X1_38_r_d_9[8] = {
2200 : evaltyp(t_VECSMALL) | _evallg(8), vZ, 0, 2, -8, 1, 5, 1 }; /* z^5 + 5*z^4 + z^3 - 8*z^2 + 2*z */
2201 : static const long X1_38_r_d_10[6] = {
2202 : evaltyp(t_VECSMALL) | _evallg(6), vZ, 0, 0, -1, 1 }; /* z^3 - z^2 */
2203 : static const long *X1_38_r_d[13] = {
2204 : (long *)(evaltyp(t_POL) | _evallg(13)), (long *)(evalvarn(0) | evalsigne(1)),
2205 : X1_38_r_d_0, X1_38_r_d_1, X1_38_r_d_2, X1_38_r_d_3, X1_38_r_d_4, X1_38_r_d_5, X1_38_r_d_6, X1_38_r_d_7, X1_38_r_d_8, X1_38_r_d_9, X1_38_r_d_10
2206 : };
2207 : /* (z^3 - z^2)*u^9 + (z^5 + 3*z^4 + 3*z^3 - 8*z^2 + 2*z)*u^8 + (5*z^6 + 7*z^5 + 12*z^4 - 6*z^3 - 19*z^2 + 9*z - 1)*u^7 + (10*z^7 + 20*z^6 + 11*z^5 + 17*z^4 - 31*z^3 - 19*z^2 + 13*z - 2)*u^6 + (12*z^8 + 31*z^7 + 15*z^6 + 12*z^5 + 8*z^4 - 52*z^3 - 10*z^2 + 12*z - 1)*u^5 + (10*z^9 + 30*z^8 + 9*z^7 + 13*z^6 + 15*z^5 - 22*z^4 - 46*z^3 + 6*z^2 + 10*z)*u^4 + (5*z^10 + 23*z^9 - 2*z^8 - 4*z^7 + 42*z^6 - 27*z^5 - 25*z^4 - 13*z^3 + 15*z^2 + 4*z)*u^3 + (z^11 + 11*z^10 + 4*z^9 - 24*z^8 + 35*z^7 + 2*z^6 - 30*z^5 - 3*z^4 + 7*z^3 + 6*z^2)*u^2 + (2*z^11 + 5*z^10 - 11*z^9 + 4*z^8 + 13*z^7 - 11*z^6 - 8*z^5 + 6*z^4 + 2*z^3)*u + (z^11 - z^10 - z^9 + 2*z^8 + z^7 - 4*z^6 + 2*z^5) */
2208 : static const long X1_38_s_n_0[14] = {
2209 : evaltyp(t_VECSMALL) | _evallg(14), vZ, 0, 0, 0, 0, 0, 2, -4, 1, 2, -1, -1, 1 }; /* z^11 - z^10 - z^9 + 2*z^8 + z^7 - 4*z^6 + 2*z^5 */
2210 : static const long X1_38_s_n_1[14] = {
2211 : evaltyp(t_VECSMALL) | _evallg(14), vZ, 0, 0, 0, 2, 6, -8, -11, 13, 4, -11, 5, 2 }; /* 2*z^11 + 5*z^10 - 11*z^9 + 4*z^8 + 13*z^7 - 11*z^6 - 8*z^5 + 6*z^4 + 2*z^3 */
2212 : static const long X1_38_s_n_2[14] = {
2213 : evaltyp(t_VECSMALL) | _evallg(14), vZ, 0, 0, 6, 7, -3, -30, 2, 35, -24, 4, 11, 1 }; /* z^11 + 11*z^10 + 4*z^9 - 24*z^8 + 35*z^7 + 2*z^6 - 30*z^5 - 3*z^4 + 7*z^3 + 6*z^2 */
2214 : static const long X1_38_s_n_3[13] = {
2215 : evaltyp(t_VECSMALL) | _evallg(13), vZ, 0, 4, 15, -13, -25, -27, 42, -4, -2, 23, 5 }; /* 5*z^10 + 23*z^9 - 2*z^8 - 4*z^7 + 42*z^6 - 27*z^5 - 25*z^4 - 13*z^3 + 15*z^2 + 4*z */
2216 : static const long X1_38_s_n_4[12] = {
2217 : evaltyp(t_VECSMALL) | _evallg(12), vZ, 0, 10, 6, -46, -22, 15, 13, 9, 30, 10 }; /* 10*z^9 + 30*z^8 + 9*z^7 + 13*z^6 + 15*z^5 - 22*z^4 - 46*z^3 + 6*z^2 + 10*z */
2218 : static const long X1_38_s_n_5[11] = {
2219 : evaltyp(t_VECSMALL) | _evallg(11), vZ, -1, 12, -10, -52, 8, 12, 15, 31, 12 }; /* 12*z^8 + 31*z^7 + 15*z^6 + 12*z^5 + 8*z^4 - 52*z^3 - 10*z^2 + 12*z - 1 */
2220 : static const long X1_38_s_n_6[10] = {
2221 : evaltyp(t_VECSMALL) | _evallg(10), vZ, -2, 13, -19, -31, 17, 11, 20, 10 }; /* 10*z^7 + 20*z^6 + 11*z^5 + 17*z^4 - 31*z^3 - 19*z^2 + 13*z - 2 */
2222 : static const long X1_38_s_n_7[9] = {
2223 : evaltyp(t_VECSMALL) | _evallg(9), vZ, -1, 9, -19, -6, 12, 7, 5 }; /* 5*z^6 + 7*z^5 + 12*z^4 - 6*z^3 - 19*z^2 + 9*z - 1 */
2224 : static const long X1_38_s_n_8[8] = {
2225 : evaltyp(t_VECSMALL) | _evallg(8), vZ, 0, 2, -8, 3, 3, 1 }; /* z^5 + 3*z^4 + 3*z^3 - 8*z^2 + 2*z */
2226 : static const long X1_38_s_n_9[6] = {
2227 : evaltyp(t_VECSMALL) | _evallg(6), vZ, 0, 0, -1, 1 }; /* z^3 - z^2 */
2228 : static const long *X1_38_s_n[12] = {
2229 : (long *)(evaltyp(t_POL) | _evallg(12)), (long *)(evalvarn(0) | evalsigne(1)),
2230 : X1_38_s_n_0, X1_38_s_n_1, X1_38_s_n_2, X1_38_s_n_3, X1_38_s_n_4, X1_38_s_n_5, X1_38_s_n_6, X1_38_s_n_7, X1_38_s_n_8, X1_38_s_n_9
2231 : };
2232 : /* (z^3 - z^2)*u^9 + (z^5 + 4*z^4 + 2*z^3 - 8*z^2 + 2*z)*u^8 + (6*z^6 + 9*z^5 + 15*z^4 - 13*z^3 - 17*z^2 + 9*z - 1)*u^7 + (14*z^7 + 23*z^6 + 19*z^5 + 17*z^4 - 47*z^3 - 11*z^2 + 13*z - 2)*u^6 + (17*z^8 + 43*z^7 + 13*z^6 + 33*z^5 - 4*z^4 - 71*z^3 + 5*z^2 + 12*z - 1)*u^5 + (12*z^9 + 46*z^8 + 16*z^7 + 4*z^6 + 51*z^5 - 48*z^4 - 57*z^3 + 21*z^2 + 10*z)*u^4 + (5*z^10 + 29*z^9 + 17*z^8 - 18*z^7 + 39*z^6 + 17*z^5 - 60*z^4 - 15*z^3 + 23*z^2 + 4*z)*u^3 + (z^11 + 11*z^10 + 11*z^9 - 18*z^8 + 12*z^7 + 24*z^6 - 14*z^5 - 30*z^4 + 9*z^3 + 8*z^2)*u^2 + (2*z^11 + 5*z^10 - 8*z^9 - z^8 + 11*z^7 - 11*z^5 - 3*z^4 + 4*z^3)*u + (z^11 - z^10 - z^9 + z^8 + 2*z^7 - 3*z^6) */
2233 : static const long X1_38_s_d_0[14] = {
2234 : evaltyp(t_VECSMALL) | _evallg(14), vZ, 0, 0, 0, 0, 0, 0, -3, 2, 1, -1, -1, 1 }; /* z^11 - z^10 - z^9 + z^8 + 2*z^7 - 3*z^6 */
2235 : static const long X1_38_s_d_1[14] = {
2236 : evaltyp(t_VECSMALL) | _evallg(14), vZ, 0, 0, 0, 4, -3, -11, 0, 11, -1, -8, 5, 2 }; /* 2*z^11 + 5*z^10 - 8*z^9 - z^8 + 11*z^7 - 11*z^5 - 3*z^4 + 4*z^3 */
2237 : static const long X1_38_s_d_2[14] = {
2238 : evaltyp(t_VECSMALL) | _evallg(14), vZ, 0, 0, 8, 9, -30, -14, 24, 12, -18, 11, 11, 1 }; /* z^11 + 11*z^10 + 11*z^9 - 18*z^8 + 12*z^7 + 24*z^6 - 14*z^5 - 30*z^4 + 9*z^3 + 8*z^2 */
2239 : static const long X1_38_s_d_3[13] = {
2240 : evaltyp(t_VECSMALL) | _evallg(13), vZ, 0, 4, 23, -15, -60, 17, 39, -18, 17, 29, 5 }; /* 5*z^10 + 29*z^9 + 17*z^8 - 18*z^7 + 39*z^6 + 17*z^5 - 60*z^4 - 15*z^3 + 23*z^2 + 4*z */
2241 : static const long X1_38_s_d_4[12] = {
2242 : evaltyp(t_VECSMALL) | _evallg(12), vZ, 0, 10, 21, -57, -48, 51, 4, 16, 46, 12 }; /* 12*z^9 + 46*z^8 + 16*z^7 + 4*z^6 + 51*z^5 - 48*z^4 - 57*z^3 + 21*z^2 + 10*z */
2243 : static const long X1_38_s_d_5[11] = {
2244 : evaltyp(t_VECSMALL) | _evallg(11), vZ, -1, 12, 5, -71, -4, 33, 13, 43, 17 }; /* 17*z^8 + 43*z^7 + 13*z^6 + 33*z^5 - 4*z^4 - 71*z^3 + 5*z^2 + 12*z - 1 */
2245 : static const long X1_38_s_d_6[10] = {
2246 : evaltyp(t_VECSMALL) | _evallg(10), vZ, -2, 13, -11, -47, 17, 19, 23, 14 }; /* 14*z^7 + 23*z^6 + 19*z^5 + 17*z^4 - 47*z^3 - 11*z^2 + 13*z - 2 */
2247 : static const long X1_38_s_d_7[9] = {
2248 : evaltyp(t_VECSMALL) | _evallg(9), vZ, -1, 9, -17, -13, 15, 9, 6 }; /* 6*z^6 + 9*z^5 + 15*z^4 - 13*z^3 - 17*z^2 + 9*z - 1 */
2249 : static const long X1_38_s_d_8[8] = {
2250 : evaltyp(t_VECSMALL) | _evallg(8), vZ, 0, 2, -8, 2, 4, 1 }; /* z^5 + 4*z^4 + 2*z^3 - 8*z^2 + 2*z */
2251 : static const long X1_38_s_d_9[6] = {
2252 : evaltyp(t_VECSMALL) | _evallg(6), vZ, 0, 0, -1, 1 }; /* z^3 - z^2 */
2253 : static const long *X1_38_s_d[12] = {
2254 : (long *)(evaltyp(t_POL) | _evallg(12)), (long *)(evalvarn(0) | evalsigne(1)),
2255 : X1_38_s_d_0, X1_38_s_d_1, X1_38_s_d_2, X1_38_s_d_3, X1_38_s_d_4, X1_38_s_d_5, X1_38_s_d_6, X1_38_s_d_7, X1_38_s_d_8, X1_38_s_d_9
2256 : };
2257 : /* z^12*x^14 + (-z^23 - 2*z^22 - 4*z^21 - 6*z^20 - 9*z^19 - 12*z^18 - 16*z^17 - 20*z^16 - 25*z^15 - 30*z^14 - 36*z^13 - 12*z^12)*x^13 + (-18*z^23 - 52*z^22 - 100*z^21 - 147*z^20 - 187*z^19 - 208*z^18 - 216*z^17 - 218*z^16 - 248*z^15 - 348*z^14 - 596*z^13 - 650*z^12 - 483*z^11 - 308*z^10 - 188*z^9 - 108*z^8 - 58*z^7 - 28*z^6 - 12*z^5 - 4*z^4 - z^3)*x^12 + (-153*z^23 - 594*z^22 - 1300*z^21 - 2055*z^20 - 2574*z^19 - 2556*z^18 - 1806*z^17 - 261*z^16 + 1845*z^15 + 3786*z^14 + 3780*z^13 + 2178*z^12 + 849*z^11 + 360*z^10 + 266*z^9 + 243*z^8 + 192*z^7 + 124*z^6 + 60*z^5 + 21*z^4 + 3*z^3)*x^11 + (-816*z^23 - 4080*z^22 - 10860*z^21 - 20535*z^20 - 31080*z^19 - 39972*z^18 - 44924*z^17 - 43894*z^16 - 34940*z^15 - 17560*z^14 + 268*z^13 + 8717*z^12 + 7806*z^11 + 3780*z^10 + 720*z^9 - 616*z^8 - 818*z^7 - 544*z^6 - 240*z^5 - 60*z^4 - 6*z^3)*x^10 + (z^28 + 10*z^27 + 60*z^26 + 270*z^25 + 1005*z^24 + 192*z^23 - 9736*z^22 - 38140*z^21 - 87840*z^20 - 151485*z^19 - 216012*z^18 - 269898*z^17 - 306131*z^16 - 316700*z^15 - 284760*z^14 - 207128*z^13 - 114251*z^12 - 43146*z^11 - 5820*z^10 + 6900*z^9 + 7806*z^8 + 5035*z^7 + 2314*z^6 + 720*z^5 + 130*z^4 + 10*z^3)*x^9 + (9*z^28 + 91*z^27 + 540*z^26 + 2400*z^25 + 8890*z^24 + 20526*z^23 + 21288*z^22 - 23112*z^21 - 140013*z^20 - 320022*z^19 - 516680*z^18 - 678672*z^17 - 787386*z^16 - 859748*z^15 - 893172*z^14 - 842244*z^13 - 686088*z^12 - 474318*z^11 - 280656*z^10 - 144524*z^9 - 65124*z^8 - 25122*z^7 - 7784*z^6 - 1740*z^5 - 240*z^4 - 15*z^3)*x^8 + (36*z^28 + 369*z^27 + 2164*z^26 + 9452*z^25 + 34678*z^24 + 96449*z^23 + 188602*z^22 + 245336*z^21 + 166136*z^20 - 94892*z^19 - 461620*z^18 - 768278*z^17 - 883369*z^16 - 829121*z^15 - 743626*z^14 - 706388*z^13 - 669214*z^12 - 565402*z^11 - 404852*z^10 - 245998*z^9 - 129905*z^8 - 61105*z^7 - 25634*z^6 - 9268*z^5 - 2744*z^4 - 637*z^3 - 112*z^2 - 14*z - 1)*x^7 + (84*z^28 + 876*z^27 + 5076*z^26 + 21640*z^25 + 77944*z^24 + 230394*z^23 + 528492*z^22 + 922068*z^21 + 1213200*z^20 + 1162575*z^19 + 693252*z^18 + 6228*z^17 - 521846*z^16 - 626120*z^15 - 375720*z^14 - 68172*z^13 + 79677*z^12 + 72513*z^11 + 20760*z^10 - 6456*z^9 - 7416*z^8 - 1916*z^7 + 496*z^6 + 480*z^5 + 135*z^4 + 15*z^3)*x^6 + (126*z^28 + 1344*z^27 + 7704*z^26 + 31770*z^25 + 110495*z^24 + 332211*z^23 + 826386*z^22 + 1650292*z^21 + 2628990*z^20 + 3341835*z^19 + 3353964*z^18 + 2539962*z^17 + 1236231*z^16 + 55910*z^15 - 540060*z^14 - 540912*z^13 - 271552*z^12 - 44343*z^11 + 39780*z^10 + 34350*z^9 + 11565*z^8 + 333*z^7 - 1366*z^6 - 600*z^5 - 120*z^4 - 10*z^3)*x^5 + (126*z^28 + 1386*z^27 + 7896*z^26 + 31200*z^25 + 101730*z^24 + 297098*z^23 + 765412*z^22 + 1667408*z^21 + 3004995*z^20 + 4469310*z^19 + 5505000*z^18 + 5608136*z^17 + 4657354*z^16 + 3031220*z^15 + 1391660*z^14 + 270580*z^13 - 204565*z^12 - 244602*z^11 - 134160*z^10 - 41460*z^9 - 2842*z^8 + 4030*z^7 + 2216*z^6 + 600*z^5 + 90*z^4 + 6*z^3)*x^4 + (84*z^28 + 966*z^27 + 5544*z^26 + 21000*z^25 + 61860*z^24 + 161856*z^23 + 398596*z^22 + 897424*z^21 + 1758603*z^20 + 2925262*z^19 + 4115740*z^18 + 4919796*z^17 + 5012510*z^16 + 4342211*z^15 + 3166854*z^14 + 1907052*z^13 + 913956*z^12 + 320100*z^11 + 58652*z^10 - 14782*z^9 - 17649*z^8 - 8090*z^7 - 2360*z^6 - 456*z^5 - 54*z^4 - 3*z^3)*x^3 + (36*z^28 + 443*z^27 + 2640*z^26 + 9912*z^25 + 26488*z^24 + 56208*z^23 + 108084*z^22 + 209364*z^21 + 405039*z^20 + 723204*z^19 + 1128252*z^18 + 1513356*z^17 + 1749258*z^16 + 1752384*z^15 + 1525872*z^14 + 1153404*z^13 + 753402*z^12 + 422268*z^11 + 201168*z^10 + 80432*z^9 + 26520*z^8 + 7032*z^7 + 1444*z^6 + 216*z^5 + 21*z^4 + z^3)*x^2 + (9*z^28 + 123*z^27 + 800*z^26 + 3220*z^25 + 8834*z^24 + 17206*z^23 + 23900*z^22 + 22600*z^21 + 11580*z^20 - 2916*z^19 - 12024*z^18 - 12470*z^17 - 7885*z^16 - 3335*z^15 - 930*z^14 - 156*z^13 - 12*z^12)*x + (z^28 + 16*z^27 + 120*z^26 + 560*z^25 + 1820*z^24 + 4368*z^23 + 8008*z^22 + 11440*z^21 + 12870*z^20 + 11440*z^19 + 8008*z^18 + 4368*z^17 + 1820*z^16 + 560*z^15 + 120*z^14 + 16*z^13 + z^12) */
2258 : static const long X1_39_crv_0[31] = {
2259 : evaltyp(t_VECSMALL) | _evallg(31), vZ, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 16, 120, 560, 1820, 4368, 8008, 11440, 12870, 11440, 8008, 4368, 1820, 560, 120, 16, 1 }; /* z^28 + 16*z^27 + 120*z^26 + 560*z^25 + 1820*z^24 + 4368*z^23 + 8008*z^22 + 11440*z^21 + 12870*z^20 + 11440*z^19 + 8008*z^18 + 4368*z^17 + 1820*z^16 + 560*z^15 + 120*z^14 + 16*z^13 + z^12 */
2260 : static const long X1_39_crv_1[31] = {
2261 : evaltyp(t_VECSMALL) | _evallg(31), vZ, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, -156, -930, -3335, -7885, -12470, -12024, -2916, 11580, 22600, 23900, 17206, 8834, 3220, 800, 123, 9 }; /* 9*z^28 + 123*z^27 + 800*z^26 + 3220*z^25 + 8834*z^24 + 17206*z^23 + 23900*z^22 + 22600*z^21 + 11580*z^20 - 2916*z^19 - 12024*z^18 - 12470*z^17 - 7885*z^16 - 3335*z^15 - 930*z^14 - 156*z^13 - 12*z^12 */
2262 : static const long X1_39_crv_2[31] = {
2263 : evaltyp(t_VECSMALL) | _evallg(31), vZ, 0, 0, 0, 1, 21, 216, 1444, 7032, 26520, 80432, 201168, 422268, 753402, 1153404, 1525872, 1752384, 1749258, 1513356, 1128252, 723204, 405039, 209364, 108084, 56208, 26488, 9912, 2640, 443, 36 }; /* 36*z^28 + 443*z^27 + 2640*z^26 + 9912*z^25 + 26488*z^24 + 56208*z^23 + 108084*z^22 + 209364*z^21 + 405039*z^20 + 723204*z^19 + 1128252*z^18 + 1513356*z^17 + 1749258*z^16 + 1752384*z^15 + 1525872*z^14 + 1153404*z^13 + 753402*z^12 + 422268*z^11 + 201168*z^10 + 80432*z^9 + 26520*z^8 + 7032*z^7 + 1444*z^6 + 216*z^5 + 21*z^4 + z^3 */
2264 : static const long X1_39_crv_3[31] = {
2265 : evaltyp(t_VECSMALL) | _evallg(31), vZ, 0, 0, 0, -3, -54, -456, -2360, -8090, -17649, -14782, 58652, 320100, 913956, 1907052, 3166854, 4342211, 5012510, 4919796, 4115740, 2925262, 1758603, 897424, 398596, 161856, 61860, 21000, 5544, 966, 84 }; /* 84*z^28 + 966*z^27 + 5544*z^26 + 21000*z^25 + 61860*z^24 + 161856*z^23 + 398596*z^22 + 897424*z^21 + 1758603*z^20 + 2925262*z^19 + 4115740*z^18 + 4919796*z^17 + 5012510*z^16 + 4342211*z^15 + 3166854*z^14 + 1907052*z^13 + 913956*z^12 + 320100*z^11 + 58652*z^10 - 14782*z^9 - 17649*z^8 - 8090*z^7 - 2360*z^6 - 456*z^5 - 54*z^4 - 3*z^3 */
2266 : static const long X1_39_crv_4[31] = {
2267 : evaltyp(t_VECSMALL) | _evallg(31), vZ, 0, 0, 0, 6, 90, 600, 2216, 4030, -2842, -41460, -134160, -244602, -204565, 270580, 1391660, 3031220, 4657354, 5608136, 5505000, 4469310, 3004995, 1667408, 765412, 297098, 101730, 31200, 7896, 1386, 126 }; /* 126*z^28 + 1386*z^27 + 7896*z^26 + 31200*z^25 + 101730*z^24 + 297098*z^23 + 765412*z^22 + 1667408*z^21 + 3004995*z^20 + 4469310*z^19 + 5505000*z^18 + 5608136*z^17 + 4657354*z^16 + 3031220*z^15 + 1391660*z^14 + 270580*z^13 - 204565*z^12 - 244602*z^11 - 134160*z^10 - 41460*z^9 - 2842*z^8 + 4030*z^7 + 2216*z^6 + 600*z^5 + 90*z^4 + 6*z^3 */
2268 : static const long X1_39_crv_5[31] = {
2269 : evaltyp(t_VECSMALL) | _evallg(31), vZ, 0, 0, 0, -10, -120, -600, -1366, 333, 11565, 34350, 39780, -44343, -271552, -540912, -540060, 55910, 1236231, 2539962, 3353964, 3341835, 2628990, 1650292, 826386, 332211, 110495, 31770, 7704, 1344, 126 }; /* 126*z^28 + 1344*z^27 + 7704*z^26 + 31770*z^25 + 110495*z^24 + 332211*z^23 + 826386*z^22 + 1650292*z^21 + 2628990*z^20 + 3341835*z^19 + 3353964*z^18 + 2539962*z^17 + 1236231*z^16 + 55910*z^15 - 540060*z^14 - 540912*z^13 - 271552*z^12 - 44343*z^11 + 39780*z^10 + 34350*z^9 + 11565*z^8 + 333*z^7 - 1366*z^6 - 600*z^5 - 120*z^4 - 10*z^3 */
2270 : static const long X1_39_crv_6[31] = {
2271 : evaltyp(t_VECSMALL) | _evallg(31), vZ, 0, 0, 0, 15, 135, 480, 496, -1916, -7416, -6456, 20760, 72513, 79677, -68172, -375720, -626120, -521846, 6228, 693252, 1162575, 1213200, 922068, 528492, 230394, 77944, 21640, 5076, 876, 84 }; /* 84*z^28 + 876*z^27 + 5076*z^26 + 21640*z^25 + 77944*z^24 + 230394*z^23 + 528492*z^22 + 922068*z^21 + 1213200*z^20 + 1162575*z^19 + 693252*z^18 + 6228*z^17 - 521846*z^16 - 626120*z^15 - 375720*z^14 - 68172*z^13 + 79677*z^12 + 72513*z^11 + 20760*z^10 - 6456*z^9 - 7416*z^8 - 1916*z^7 + 496*z^6 + 480*z^5 + 135*z^4 + 15*z^3 */
2272 : static const long X1_39_crv_7[31] = {
2273 : evaltyp(t_VECSMALL) | _evallg(31), vZ, -1, -14, -112, -637, -2744, -9268, -25634, -61105, -129905, -245998, -404852, -565402, -669214, -706388, -743626, -829121, -883369, -768278, -461620, -94892, 166136, 245336, 188602, 96449, 34678, 9452, 2164, 369, 36 }; /* 36*z^28 + 369*z^27 + 2164*z^26 + 9452*z^25 + 34678*z^24 + 96449*z^23 + 188602*z^22 + 245336*z^21 + 166136*z^20 - 94892*z^19 - 461620*z^18 - 768278*z^17 - 883369*z^16 - 829121*z^15 - 743626*z^14 - 706388*z^13 - 669214*z^12 - 565402*z^11 - 404852*z^10 - 245998*z^9 - 129905*z^8 - 61105*z^7 - 25634*z^6 - 9268*z^5 - 2744*z^4 - 637*z^3 - 112*z^2 - 14*z - 1 */
2274 : static const long X1_39_crv_8[31] = {
2275 : evaltyp(t_VECSMALL) | _evallg(31), vZ, 0, 0, 0, -15, -240, -1740, -7784, -25122, -65124, -144524, -280656, -474318, -686088, -842244, -893172, -859748, -787386, -678672, -516680, -320022, -140013, -23112, 21288, 20526, 8890, 2400, 540, 91, 9 }; /* 9*z^28 + 91*z^27 + 540*z^26 + 2400*z^25 + 8890*z^24 + 20526*z^23 + 21288*z^22 - 23112*z^21 - 140013*z^20 - 320022*z^19 - 516680*z^18 - 678672*z^17 - 787386*z^16 - 859748*z^15 - 893172*z^14 - 842244*z^13 - 686088*z^12 - 474318*z^11 - 280656*z^10 - 144524*z^9 - 65124*z^8 - 25122*z^7 - 7784*z^6 - 1740*z^5 - 240*z^4 - 15*z^3 */
2276 : static const long X1_39_crv_9[31] = {
2277 : evaltyp(t_VECSMALL) | _evallg(31), vZ, 0, 0, 0, 10, 130, 720, 2314, 5035, 7806, 6900, -5820, -43146, -114251, -207128, -284760, -316700, -306131, -269898, -216012, -151485, -87840, -38140, -9736, 192, 1005, 270, 60, 10, 1 }; /* z^28 + 10*z^27 + 60*z^26 + 270*z^25 + 1005*z^24 + 192*z^23 - 9736*z^22 - 38140*z^21 - 87840*z^20 - 151485*z^19 - 216012*z^18 - 269898*z^17 - 306131*z^16 - 316700*z^15 - 284760*z^14 - 207128*z^13 - 114251*z^12 - 43146*z^11 - 5820*z^10 + 6900*z^9 + 7806*z^8 + 5035*z^7 + 2314*z^6 + 720*z^5 + 130*z^4 + 10*z^3 */
2278 : static const long X1_39_crv_10[26] = {
2279 : evaltyp(t_VECSMALL) | _evallg(26), vZ, 0, 0, 0, -6, -60, -240, -544, -818, -616, 720, 3780, 7806, 8717, 268, -17560, -34940, -43894, -44924, -39972, -31080, -20535, -10860, -4080, -816 }; /* -816*z^23 - 4080*z^22 - 10860*z^21 - 20535*z^20 - 31080*z^19 - 39972*z^18 - 44924*z^17 - 43894*z^16 - 34940*z^15 - 17560*z^14 + 268*z^13 + 8717*z^12 + 7806*z^11 + 3780*z^10 + 720*z^9 - 616*z^8 - 818*z^7 - 544*z^6 - 240*z^5 - 60*z^4 - 6*z^3 */
2280 : static const long X1_39_crv_11[26] = {
2281 : evaltyp(t_VECSMALL) | _evallg(26), vZ, 0, 0, 0, 3, 21, 60, 124, 192, 243, 266, 360, 849, 2178, 3780, 3786, 1845, -261, -1806, -2556, -2574, -2055, -1300, -594, -153 }; /* -153*z^23 - 594*z^22 - 1300*z^21 - 2055*z^20 - 2574*z^19 - 2556*z^18 - 1806*z^17 - 261*z^16 + 1845*z^15 + 3786*z^14 + 3780*z^13 + 2178*z^12 + 849*z^11 + 360*z^10 + 266*z^9 + 243*z^8 + 192*z^7 + 124*z^6 + 60*z^5 + 21*z^4 + 3*z^3 */
2282 : static const long X1_39_crv_12[26] = {
2283 : evaltyp(t_VECSMALL) | _evallg(26), vZ, 0, 0, 0, -1, -4, -12, -28, -58, -108, -188, -308, -483, -650, -596, -348, -248, -218, -216, -208, -187, -147, -100, -52, -18 }; /* -18*z^23 - 52*z^22 - 100*z^21 - 147*z^20 - 187*z^19 - 208*z^18 - 216*z^17 - 218*z^16 - 248*z^15 - 348*z^14 - 596*z^13 - 650*z^12 - 483*z^11 - 308*z^10 - 188*z^9 - 108*z^8 - 58*z^7 - 28*z^6 - 12*z^5 - 4*z^4 - z^3 */
2284 : static const long X1_39_crv_13[26] = {
2285 : evaltyp(t_VECSMALL) | _evallg(26), vZ, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, -36, -30, -25, -20, -16, -12, -9, -6, -4, -2, -1 }; /* -z^23 - 2*z^22 - 4*z^21 - 6*z^20 - 9*z^19 - 12*z^18 - 16*z^17 - 20*z^16 - 25*z^15 - 30*z^14 - 36*z^13 - 12*z^12 */
2286 : static const long X1_39_crv_14[15] = {
2287 : evaltyp(t_VECSMALL) | _evallg(15), vZ, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 }; /* z^12 */
2288 : static const long *X1_39_crv[17] = {
2289 : (long *)(evaltyp(t_POL) | _evallg(17)), (long *)(evalvarn(0) | evalsigne(1)),
2290 : X1_39_crv_0, X1_39_crv_1, X1_39_crv_2, X1_39_crv_3, X1_39_crv_4, X1_39_crv_5, X1_39_crv_6, X1_39_crv_7, X1_39_crv_8, X1_39_crv_9, X1_39_crv_10, X1_39_crv_11, X1_39_crv_12, X1_39_crv_13, X1_39_crv_14
2291 : };
2292 : /* -z */
2293 : static const long *X1_39_r_n[3] = {
2294 : (long *)(evaltyp(t_POL) | _evallg(3)), (long *)(evalvarn(0) | evalsigne(1)),
2295 : FLX_mZ
2296 : };
2297 : /* 1 */
2298 : static const long *X1_39_r_d[3] = {
2299 : (long *)(evaltyp(t_POL) | _evallg(3)), (long *)(evalvarn(0) | evalsigne(1)),
2300 : FLX_1
2301 : };
2302 : /* (z + 1)*x + (z + 1) */
2303 : static const long X1_39_s_n_0[4] = {
2304 : evaltyp(t_VECSMALL) | _evallg(4), vZ, 1, 1 }; /* z + 1 */
2305 : static const long X1_39_s_n_1[4] = {
2306 : evaltyp(t_VECSMALL) | _evallg(4), vZ, 1, 1 }; /* z + 1 */
2307 : static const long *X1_39_s_n[4] = {
2308 : (long *)(evaltyp(t_POL) | _evallg(4)), (long *)(evalvarn(0) | evalsigne(1)),
2309 : X1_39_s_n_0, X1_39_s_n_1
2310 : };
2311 : /* z */
2312 : static const long *X1_39_s_d[3] = {
2313 : (long *)(evaltyp(t_POL) | _evallg(3)), (long *)(evalvarn(0) | evalsigne(1)),
2314 : FLX_Z
2315 : };
2316 :
2317 : static const X1_info X1_table[LAST_X1_LEVEL - FIRST_X1_LEVEL + 1] = {
2318 : { (GEN)X1_13_crv, (GEN)X1_13_r_n, (GEN)X1_13_r_d, 0, (GEN)X1_13_s_n, (GEN)X1_13_s_d, 1, RS_MAP },
2319 : { (GEN)X1_14_crv, (GEN)X1_14_r_n, (GEN)X1_14_r_d, 1, (GEN)X1_14_s_n, (GEN)X1_14_s_d, 0, RS_MAP },
2320 : { (GEN)X1_15_crv, (GEN)X1_15_r_n, (GEN)X1_15_r_d, 1, (GEN)X1_15_s_n, (GEN)X1_15_s_d, 1, RS_MAP },
2321 : { (GEN)X1_16_crv, (GEN)X1_16_r_n, (GEN)X1_16_r_d, 0, (GEN)X1_16_s_n, (GEN)X1_16_s_d, 0, RS_MAP },
2322 : { (GEN)X1_17_crv, (GEN)X1_17_r_n, (GEN)X1_17_r_d, 0, (GEN)X1_17_s_n, (GEN)X1_17_s_d, 0, RS_MAP },
2323 : { (GEN)X1_18_crv, (GEN)X1_18_r_n, (GEN)X1_18_r_d, 0, (GEN)X1_18_s_n, (GEN)X1_18_s_d, 0, RS_MAP },
2324 : { (GEN)X1_19_crv, (GEN)X1_19_r_n, (GEN)X1_19_r_d, 1, (GEN)X1_19_s_n, (GEN)X1_19_s_d, 1, RS_MAP },
2325 : { (GEN)X1_20_crv, (GEN)X1_20_r_n, (GEN)X1_20_r_d, 0, (GEN)X1_20_s_n, (GEN)X1_20_s_d, 0, TQ_MAP },
2326 : { (GEN)X1_21_crv, (GEN)X1_21_r_n, (GEN)X1_21_r_d, 1, (GEN)X1_21_s_n, (GEN)X1_21_s_d, 1, RS_MAP },
2327 : { (GEN)X1_22_crv, (GEN)X1_22_r_n, (GEN)X1_22_r_d, 0, (GEN)X1_22_s_n, (GEN)X1_22_s_d, 0, RS_MAP },
2328 : { (GEN)X1_23_crv, (GEN)X1_23_r_n, (GEN)X1_23_r_d, 0, (GEN)X1_23_s_n, (GEN)X1_23_s_d, 0, RS_MAP },
2329 : { (GEN)X1_24_crv, (GEN)X1_24_r_n, (GEN)X1_24_r_d, 0, (GEN)X1_24_s_n, (GEN)X1_24_s_d, 0, TQ_MAP },
2330 : { (GEN)X1_25_crv, (GEN)X1_25_r_n, (GEN)X1_25_r_d, 0, (GEN)X1_25_s_n, (GEN)X1_25_s_d, 0, RS_MAP },
2331 : { (GEN)X1_26_crv, (GEN)X1_26_r_n, (GEN)X1_26_r_d, 0, (GEN)X1_26_s_n, (GEN)X1_26_s_d, 0, RS_MAP },
2332 : { (GEN)X1_27_crv, (GEN)X1_27_r_n, (GEN)X1_27_r_d, 0, (GEN)X1_27_s_n, (GEN)X1_27_s_d, 0, RS_MAP },
2333 : { (GEN)X1_28_crv, (GEN)X1_28_r_n, (GEN)X1_28_r_d, 0, (GEN)X1_28_s_n, (GEN)X1_28_s_d, 0, QT_MAP },
2334 : { (GEN)X1_29_crv, (GEN)X1_29_r_n, (GEN)X1_29_r_d, 0, (GEN)X1_29_s_n, (GEN)X1_29_s_d, 1, RS_MAP },
2335 : { (GEN)X1_30_crv, (GEN)X1_30_r_n, (GEN)X1_30_r_d, 0, (GEN)X1_30_s_n, (GEN)X1_30_s_d, 0, TQ_MAP },
2336 : { (GEN)X1_31_crv, (GEN)X1_31_r_n, (GEN)X1_31_r_d, 0, (GEN)X1_31_s_n, (GEN)X1_31_s_d, 0, RS_MAP },
2337 : { (GEN)X1_32_crv, (GEN)X1_32_r_n, (GEN)X1_32_r_d, 0, (GEN)X1_32_s_n, (GEN)X1_32_s_d, 0, QT_MAP },
2338 : { (GEN)X1_33_crv, (GEN)X1_33_r_n, (GEN)X1_33_r_d, 0, (GEN)X1_33_s_n, (GEN)X1_33_s_d, 0, T_MAP},
2339 : { (GEN)X1_34_crv, (GEN)X1_34_r_n, (GEN)X1_34_r_d, 0, (GEN)X1_34_s_n, (GEN)X1_34_s_d, 0, RS_MAP },
2340 : { (GEN)X1_35_crv, (GEN)X1_35_r_n, (GEN)X1_35_r_d, 0, (GEN)X1_35_s_n, (GEN)X1_35_s_d, 0, RS_MAP },
2341 : { (GEN)X1_36_crv, (GEN)X1_36_r_n, (GEN)X1_36_r_d, 0, (GEN)X1_36_s_n, (GEN)X1_36_s_d, 0, RS_MAP },
2342 : { (GEN)X1_37_crv, (GEN)X1_37_r_n, (GEN)X1_37_r_d, 0, (GEN)X1_37_s_n, (GEN)X1_37_s_d, 0, RS_MAP },
2343 : { (GEN)X1_38_crv, (GEN)X1_38_r_n, (GEN)X1_38_r_d, 0, (GEN)X1_38_s_n, (GEN)X1_38_s_d, 0, RS_MAP },
2344 : { (GEN)X1_39_crv, (GEN)X1_39_r_n, (GEN)X1_39_r_d, 0, (GEN)X1_39_s_n, (GEN)X1_39_s_d, 0, T_MAP }
2345 : };
2346 :
2347 : INLINE const X1_info *
2348 537957 : get_X1_info(ulong N)
2349 : {
2350 537957 : return &X1_table[N - FIRST_X1_LEVEL];
2351 : }
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