Sharedwww / tables / bsd_p5_301-600.gpOpen in CoCalc
Author: William A. Stein
1\\ bsd_p5_301-600.gp
2\\ ---------------------------------------------------------------
3\\ N,i      = i-th newform at level N (forms ordered by trace).
4\\ bsd[N,i] = odd_part(L(A_f,1)/Omega*(manin constant))
5\\ deg[N,i] = odd_part(modular degree)
6\\ dsc[N,i] = disc(O_f)
7\\ E  [N,i] = [g(x), denom*[a_1(x), a_2(x), ..., a_5(x)]]
8\\ 301 <= N <= 600
9\\
10\\ Thu Mar  4 06:26:04 1999
11\\ William Stein ([email protected])
12\\ ---------------------------------------------------------------
13
14
15bsd[301,1] = 0 ;
16deg[301,1] = 7 ;
17dsc[301,1] = 19*103 ;
18E  [301,1] = [x^4+4*x^3+2*x^2-5*x-3, [1,x,-x^3-2*x^2+2*x+1,x^2-2,-x^2-2*x]];
19
20bsd[301,2] = 0 ;
21deg[301,2] = 1 ;
22dsc[301,2] = 81509 ;
23E  [301,2] = [x^5-6*x^3+x^2+5*x-2, [1,x,x^4+x^3-6*x^2-5*x+4,x^2-2,-2*x^4-2*x^3+11*x^2+8*x-8]];
24
25bsd[301,3] = 1 ;
26deg[301,3] = 17 ;
27dsc[301,3] = 31*9739 ;
28E  [301,3] = [x^5-x^4-6*x^3+5*x^2+6*x-1, [1,x,-x^3+4*x+1,x^2-2,x^4-5*x^2+x+3]];
29
30bsd[301,4] = 1/11 ;
31deg[301,4] = 1 ;
32dsc[301,4] = 2^2*37*32366197 ;
33E  [301,4] = [x^7-4*x^6-3*x^5+25*x^4-13*x^3-23*x^2+11*x+2, [1,x,-x^5+x^4+7*x^3-5*x^2-8*x+2,x^2-2,x^6-2*x^5-6*x^4+11*x^3+4*x^2-6*x]];
34
35
36bsd[302,1] = 1 ;
37deg[302,1] = 3^3 ;
38dsc[302,1] = 1 ;
39E  [302,1] = [x, [1,-1,2,1,2]];
40
41bsd[302,2] = 0 ;
42deg[302,2] = 5 ;
43dsc[302,2] = 1 ;
44E  [302,2] = [x, [1,1,-3,1,0]];
45
46bsd[302,3] = 0 ;
47deg[302,3] = 3*5 ;
48dsc[302,3] = 1 ;
49E  [302,3] = [x, [1,1,-1,1,-4]];
50
51bsd[302,4] = 0 ;
52deg[302,4] = 7 ;
53dsc[302,4] = 2^3 ;
54E  [302,4] = [x^2+2*x-1, [1,-1,x,1,0]];
55
56bsd[302,5] = 1/3 ;
57deg[302,5] = 3^3*431 ;
58dsc[302,5] = 2^4*1613 ;
59E  [302,5] = [x^4-10*x^2-6*x+9, [3,-3,3*x,3,2*x^3-3*x^2-14*x+3]];
60
61bsd[302,6] = 41/19 ;
62deg[302,6] = 41 ;
63dsc[302,6] = 2^4*389 ;
64E  [302,6] = [x^4-2*x^3-4*x^2+8*x-1, [1,1,x,1,-x^2+3]];
65
66
67bsd[303,1] = 0 ;
68deg[303,1] = 1 ;
69dsc[303,1] = 1 ;
70E  [303,1] = [x, [1,-2,1,2,-1]];
71
72bsd[303,2] = 0 ;
73deg[303,2] = 7 ;
74dsc[303,2] = 1 ;
75E  [303,2] = [x, [1,0,1,-2,-3]];
76
77bsd[303,3] = 0 ;
78deg[303,3] = 1 ;
79dsc[303,3] = 2^3 ;
80E  [303,3] = [x^2-2, [1,x,-1,0,-x-1]];
81
82bsd[303,4] = 3/17 ;
83deg[303,4] = 3 ;
84dsc[303,4] = 2^2*3083683 ;
85E  [303,4] = [x^6-x^5-7*x^4+5*x^3+13*x^2-4*x-6, [1,x,1,x^2-2,x^4-x^3-5*x^2+3*x+5]];
86
87bsd[303,5] = 1 ;
88deg[303,5] = 1103 ;
89dsc[303,5] = 2^4*89*3678833 ;
90E  [303,5] = [x^7-12*x^5+40*x^3+x^2-24*x-4, [1,x,-1,x^2-2,x^6+x^5-8*x^4-6*x^3+14*x^2+3*x-3]];
91
92
93bsd[304,1] = 0 ;
94deg[304,1] = 3 ;
95dsc[304,1] = 1 ;
96E  [304,1] = [x, [1,0,-2,0,-1]];
97
98bsd[304,2] = 0 ;
99deg[304,2] = 1 ;
100dsc[304,2] = 1 ;
101E  [304,2] = [x, [1,0,-1,0,0]];
102
103bsd[304,3] = 1 ;
104deg[304,3] = 3 ;
105dsc[304,3] = 1 ;
106E  [304,3] = [x, [1,0,-1,0,0]];
107
108bsd[304,4] = 0 ;
109deg[304,4] = 3 ;
110dsc[304,4] = 1 ;
111E  [304,4] = [x, [1,0,1,0,-4]];
112
113bsd[304,5] = 1 ;
114deg[304,5] = 1 ;
115dsc[304,5] = 1 ;
116E  [304,5] = [x, [1,0,2,0,-1]];
117
118bsd[304,6] = 1 ;
119deg[304,6] = 3 ;
120dsc[304,6] = 1 ;
121E  [304,6] = [x, [1,0,2,0,3]];
122
123bsd[304,7] = 1 ;
124deg[304,7] = 1 ;
125dsc[304,7] = 31^2 ;
126E  [304,7] = [x^3+x^2-10*x-8, [2,0,2*x,0,-x^2+x+8]];
127
128
129bsd[305,1] = 0 ;
130deg[305,1] = 3 ;
131dsc[305,1] = 3^4 ;
132E  [305,1] = [x^3-3*x+1, [1,x,-x,x^2-2,-1]];
133
134bsd[305,2] = 0 ;
135deg[305,2] = 37 ;
136dsc[305,2] = 2777 ;
137E  [305,2] = [x^4+3*x^3-x^2-6*x-1, [1,x,-x^3-2*x^2+2*x+1,x^2-2,1]];
138
139bsd[305,3] = 1/3 ;
140deg[305,3] = 139 ;
141dsc[305,3] = 2^8*82219057 ;
142E  [305,3] = [x^7+2*x^6-11*x^5-19*x^4+35*x^3+48*x^2-25*x-27, [2,2*x,-x^5+8*x^3-x^2-11*x-1,2*x^2-4,-2]];
143
144bsd[305,4] = 3^2/31 ;
145deg[305,4] = 3^2 ;
146dsc[305,4] = 2^10*31*43*977 ;
147E  [305,4] = [x^7-2*x^6-9*x^5+17*x^4+19*x^3-36*x^2+5*x+1, [2,2*x,-x^6+2*x^5+8*x^4-15*x^3-15*x^2+27*x,2*x^2-4,2]];
148
149
150bsd[306,1] = 0 ;
151deg[306,1] = 3 ;
152dsc[306,1] = 1 ;
153E  [306,1] = [x, [1,-1,0,1,0]];
154
155bsd[306,2] = 1 ;
156deg[306,2] = 1 ;
157dsc[306,2] = 1 ;
158E  [306,2] = [x, [1,-1,0,1,2]];
159
160bsd[306,3] = 3 ;
161deg[306,3] = 3 ;
162dsc[306,3] = 1 ;
163E  [306,3] = [x, [1,1,0,1,0]];
164
165bsd[306,4] = 1 ;
166deg[306,4] = 1 ;
167dsc[306,4] = 1 ;
168E  [306,4] = [x, [1,1,0,1,4]];
169
170bsd[306,5] = 1/3 ;
171deg[306,5] = 5 ;
172dsc[306,5] = 2^3*3 ;
173E  [306,5] = [x^2-6, [1,-1,0,1,x]];
174
175bsd[306,6] = 5/3 ;
176deg[306,6] = 3*5 ;
177dsc[306,6] = 2^3*3 ;
178E  [306,6] = [x^2-6, [1,1,0,1,x]];
179
180
181bsd[307,1] = 1 ;
182deg[307,1] = 13 ;
183dsc[307,1] = 1 ;
184E  [307,1] = [x, [1,0,0,-2,4]];
185
186bsd[307,2] = 1 ;
187deg[307,2] = 5 ;
188dsc[307,2] = 1 ;
189E  [307,2] = [x, [1,1,2,-1,0]];
190
191bsd[307,3] = 1 ;
192deg[307,3] = 11 ;
193dsc[307,3] = 1 ;
194E  [307,3] = [x, [1,2,0,2,2]];
195
196bsd[307,4] = 1 ;
197deg[307,4] = 3*5 ;
198dsc[307,4] = 1 ;
199E  [307,4] = [x, [1,2,2,2,0]];
200
201bsd[307,5] = 1/3 ;
202deg[307,5] = 3*107 ;
203dsc[307,5] = 13 ;
204E  [307,5] = [x^2+x-3, [1,x,-x-2,-x+1,3]];
205
206bsd[307,6] = 1/17 ;
207deg[307,6] = 5^2*11*13*107 ;
208dsc[307,6] = 5*457*3697*974513 ;
209E  [307,6] = [x^9-3*x^8-11*x^7+30*x^6+46*x^5-87*x^4-91*x^3+50*x^2+62*x+13, [1,x,-x^8+2*x^7+11*x^6-18*x^5-38*x^4+44*x^3+39*x^2-24*x-13,x^2-2,x^7-x^6-11*x^5+5*x^4+36*x^3+3*x^2-24*x-9]];
210
211bsd[307,7] = 0 ;
212deg[307,7] = 1 ;
213dsc[307,7] = 21577*568380457 ;
214E  [307,7] = [x^10+7*x^9+10*x^8-28*x^7-73*x^6+16*x^5+128*x^4+26*x^3-69*x^2-18*x-1, [1,x,x^9+6*x^8+5*x^7-29*x^6-48*x^5+37*x^4+91*x^3-7*x^2-52*x-6,x^2-2,-x^9-6*x^8-4*x^7+34*x^6+50*x^5-57*x^4-111*x^3+22*x^2+69*x+7]];
215
216
217bsd[308,1] = 0 ;
218deg[308,1] = 3 ;
219dsc[308,1] = 1 ;
220E  [308,1] = [x, [1,0,-1,0,-1]];
221
222bsd[308,2] = 3 ;
223deg[308,2] = 3^2*5 ;
224dsc[308,2] = 2^3*3 ;
225E  [308,2] = [x^2-6, [1,0,x,0,2]];
226
227bsd[308,3] = 1 ;
228deg[308,3] = 3^3 ;
229dsc[308,3] = 2^3*127 ;
230E  [308,3] = [x^3+x^2-6*x-2, [1,0,x,0,-x^2+4]];
231
232
233bsd[309,1] = 0 ;
234deg[309,1] = 5 ;
235dsc[309,1] = 1 ;
236E  [309,1] = [x, [1,-1,1,-1,-1]];
237
238bsd[309,2] = 1 ;
239deg[309,2] = 89 ;
240dsc[309,2] = 2^2*37 ;
241E  [309,2] = [x^3-x^2-3*x+1, [1,x,-1,x^2-2,x]];
242
243bsd[309,3] = 0 ;
244deg[309,3] = 3^2 ;
245dsc[309,3] = 81509 ;
246E  [309,3] = [x^5+2*x^4-4*x^3-6*x^2+4*x+1, [1,x,-1,x^2-2,x^4+x^3-5*x^2-3*x+3]];
247
248bsd[309,4] = 5^2/13 ;
249deg[309,4] = 5^2 ;
250dsc[309,4] = 2^2*5*109363884517 ;
251E  [309,4] = [x^8+x^7-13*x^6-11*x^5+52*x^4+35*x^3-59*x^2-27*x+1, [2,2*x,2,2*x^2-4,-x^7+11*x^5-36*x^3-3*x^2+34*x+7]];
252
253
254bsd[310,1] = 0 ;
255deg[310,1] = 3 ;
256dsc[310,1] = 1 ;
257E  [310,1] = [x, [1,1,-2,1,-1]];
258
259bsd[310,2] = 3 ;
260deg[310,2] = 3 ;
261dsc[310,2] = 1 ;
262E  [310,2] = [x, [1,1,2,1,-1]];
263
264bsd[310,3] = 0 ;
265deg[310,3] = 3 ;
266dsc[310,3] = 2^2*3 ;
267E  [310,3] = [x^2+2*x-2, [1,-1,x,1,-1]];
268
269bsd[310,4] = 1 ;
270deg[310,4] = 23 ;
271dsc[310,4] = 2^3*3 ;
272E  [310,4] = [x^2-6, [1,-1,x,1,1]];
273
274bsd[310,5] = 5 ;
275deg[310,5] = 5^2 ;
276dsc[310,5] = 2^4*37 ;
277E  [310,5] = [x^3-2*x^2-4*x+4, [1,1,x,1,1]];
278
279
280bsd[311,1] = 0 ;
281deg[311,1] = 1 ;
282dsc[311,1] = 5^2*29 ;
283E  [311,1] = [x^4+x^3-3*x^2-x+1, [1,x,-x^3-x^2+2*x,x^2-2,x^3+x^2-3*x-1]];
284
285bsd[311,2] = 1/5*31 ;
286deg[311,2] = 1 ;
287dsc[311,2] = 3013091897*2106873009119126062143259000543887593 ;
288E  [311,2] = [x^22-2*x^21-35*x^20+70*x^19+517*x^18-1033*x^17-4195*x^16+8357*x^15+20417*x^14-40403*x^13-61287*x^12+119701*x^11+113017*x^10-215615*x^9-124399*x^8+228609*x^7+76453*x^6-133295*x^5-23503*x^4+36742*x^3+3587*x^2-3200*x-473, [106341562018576649119,106341562018576649119*x,-1333218028123436678*x^21+1367946423136236257*x^20+49328489263264063408*x^19-48698618113739814119*x^18-780071490285978038489*x^17+731764058773877640305*x^16+6883435129930837071209*x^15-6029718454604453812991*x^14-37117408682963362048611*x^13+29643589741202443321628*x^12+125904278451589035925849*x^11-88764078616540344648331*x^10-266400248133720180154691*x^9+159042733994278329421197*x^8+336261615438596631255820*x^7-162008001244132052237259*x^6-230084343080867524283273*x^5+85032171085335940948597*x^4+71086649415902837709445*x^3-17051195074052769029465*x^2-6284781941061791629214*x-87513220437116449887,106341562018576649119*x^2-212683124037153298238,-21242974024529590*x^21-1434491652110563978*x^20+3209217338769634321*x^19+48282217898366329351*x^18-94578303848943192367*x^17-676590780104692901915*x^16+1270815302353166006692*x^15+5102603103564094427213*x^14-9439579417621543494677*x^13-22357866355125222974699*x^12+41280678241435124160901*x^11+57441564627509462184517*x^10-106882614769975285857639*x^9-83882843771650414225579*x^8+158593036380613931304765*x^7+66319079553842412941717*x^6-126427357236440356717803*x^5-28369596568106140688094*x^4+47782658911006380501745*x^3+8238984211089590694971*x^2-6439892278957108980653*x-1313955819411519890238]];
289
290
291bsd[312,1] = 1 ;
292deg[312,1] = 1 ;
293dsc[312,1] = 1 ;
294E  [312,1] = [x, [1,0,-1,0,-2]];
295
296bsd[312,2] = 0 ;
297deg[312,2] = 1 ;
298dsc[312,2] = 1 ;
299E  [312,2] = [x, [1,0,-1,0,0]];
300
301bsd[312,3] = 1 ;
302deg[312,3] = 3*5 ;
303dsc[312,3] = 1 ;
304E  [312,3] = [x, [1,0,-1,0,4]];
305
306bsd[312,4] = 0 ;
307deg[312,4] = 3 ;
308dsc[312,4] = 1 ;
309E  [312,4] = [x, [1,0,1,0,-4]];
310
311bsd[312,5] = 1 ;
312deg[312,5] = 1 ;
313dsc[312,5] = 1 ;
314E  [312,5] = [x, [1,0,1,0,0]];
315
316bsd[312,6] = 1 ;
317deg[312,6] = 1 ;
318dsc[312,6] = 1 ;
319E  [312,6] = [x, [1,0,1,0,2]];
320
321
322bsd[313,1] = 1 ;
323deg[313,1] = 41 ;
324dsc[313,1] = 5 ;
325E  [313,1] = [x^2-x-1, [1,x,-x+2,x-1,x+1]];
326
327bsd[313,2] = 0 ;
328deg[313,2] = 1 ;
329dsc[313,2] = 9614923*130838023 ;
330E  [313,2] = [x^11+8*x^10+16*x^9-26*x^8-121*x^7-62*x^6+190*x^5+196*x^4-76*x^3-122*x^2+2*x+17, [13,13*x,-29*x^10-184*x^9-159*x^8+1023*x^7+1831*x^6-1251*x^5-3525*x^4+133*x^3+2052*x^2+138*x-290,13*x^2-26,3*x^10+15*x^9-10*x^8-126*x^7-37*x^6+341*x^5+132*x^4-302*x^3-76*x^2+31*x+4]];
331
332bsd[313,3] = 1/13 ;
333deg[313,3] = 41 ;
334dsc[313,3] = 2^2*8619587*2164322751511 ;
335E  [313,3] = [x^12-6*x^11-2*x^10+69*x^9-68*x^8-268*x^7+399*x^6+368*x^5-701*x^4-57*x^3+262*x^2-22*x-19, [2,2*x,2*x^10-6*x^9-24*x^8+70*x^7+108*x^6-278*x^5-224*x^4+400*x^3+200*x^2-94*x-34,2*x^2-4,2*x^11-8*x^10-18*x^9+94*x^8+36*x^7-380*x^6+68*x^5+580*x^4-226*x^3-210*x^2+66*x+16]];
336
337
338bsd[314,1] = 0 ;
339deg[314,1] = 5 ;
340dsc[314,1] = 1 ;
341E  [314,1] = [x, [1,-1,0,1,0]];
342
343bsd[314,2] = 1/3 ;
344deg[314,2] = 19*113 ;
345dsc[314,2] = 3*53*337*907 ;
346E  [314,2] = [x^6-3*x^5-9*x^4+26*x^3+20*x^2-43*x-25, [13,-13,13*x,13,-5*x^5+8*x^4+51*x^3-56*x^2-103*x+24]];
347
348bsd[314,3] = 709/79 ;
349deg[314,3] = 709 ;
350dsc[314,3] = 47*176130259 ;
351E  [314,3] = [x^7+x^6-17*x^5-6*x^4+84*x^3-19*x^2-73*x+4, [15,15,15*x,15,-5*x^5+55*x^3-20*x^2-95*x+20]];
352
353
354bsd[315,1] = 0 ;
355deg[315,1] = 1 ;
356dsc[315,1] = 1 ;
357E  [315,1] = [x, [1,-1,0,-1,-1]];
358
359bsd[315,2] = 1 ;
360deg[315,2] = 5 ;
361dsc[315,2] = 1 ;
362E  [315,2] = [x, [1,0,0,-2,1]];
363
364bsd[315,3] = 0 ;
365deg[315,3] = 1 ;
366dsc[315,3] = 2^3 ;
367E  [315,3] = [x^2+2*x-1, [1,x,0,-2*x-1,-1]];
368
369bsd[315,4] = 1 ;
370deg[315,4] = 5 ;
371dsc[315,4] = 2^2*5 ;
372E  [315,4] = [x^2-5, [1,x,0,3,1]];
373
374bsd[315,5] = 1 ;
375deg[315,5] = 1 ;
376dsc[315,5] = 17 ;
377E  [315,5] = [x^2-x-4, [1,x,0,x+2,-1]];
378
379bsd[315,6] = 1 ;
380deg[315,6] = 3^2 ;
381dsc[315,6] = 2^3 ;
382E  [315,6] = [x^2-2*x-1, [1,x,0,2*x-1,1]];
383
384
385bsd[316,1] = 0 ;
386deg[316,1] = 3^2 ;
387dsc[316,1] = 1 ;
388E  [316,1] = [x, [1,0,-3,0,1]];
389
390bsd[316,2] = 1 ;
391deg[316,2] = 3^2 ;
392dsc[316,2] = 1 ;
393E  [316,2] = [x, [1,0,-1,0,1]];
394
395bsd[316,3] = 0 ;
396deg[316,3] = 3^3 ;
397dsc[316,3] = 13 ;
398E  [316,3] = [x^2+5*x+3, [1,0,0,0,x]];
399
400bsd[316,4] = 3 ;
401deg[316,4] = 3^3 ;
402dsc[316,4] = 13 ;
403E  [316,4] = [x^2-3*x-1, [1,0,2,0,x]];
404
405
406bsd[317,1] = 0 ;
407deg[317,1] = 1 ;
408dsc[317,1] = 367*3217*660603043 ;
409E  [317,1] = [x^11+3*x^10-10*x^9-32*x^8+31*x^7+109*x^6-42*x^5-147*x^4+35*x^3+68*x^2-19*x-1, [1046,1046*x,113*x^10-308*x^9-2162*x^8+4042*x^7+12971*x^6-18250*x^5-28022*x^4+33587*x^3+17524*x^2-20784*x+1175,1046*x^2-2092,468*x^10+1668*x^9-3900*x^8-17176*x^7+7206*x^6+54916*x^5+4*x^4-67560*x^3-3466*x^2+26704*x-1928]];
410
411bsd[317,2] = 1/79 ;
412deg[317,2] = 1 ;
413dsc[317,2] = 2^4*7*14989400036918065702697531 ;
414E  [317,2] = [x^15-x^14-22*x^13+22*x^12+188*x^11-184*x^10-786*x^9+723*x^8+1666*x^7-1315*x^6-1715*x^5+910*x^4+829*x^3-168*x^2-129*x+1, [9028,9028*x,-2929*x^14+6610*x^13+62146*x^12-141208*x^11-497546*x^10+1147126*x^9+1838946*x^8-4378801*x^7-3005667*x^6+7741472*x^5+1592783*x^4-5224775*x^3-153144*x^2+994572*x-29861,9028*x^2-18056,13774*x^14-21574*x^13-289662*x^12+465758*x^11+2307270*x^10-3819202*x^9-8563554*x^8+14681512*x^7+14433530*x^6-25983162*x^5-8822896*x^4+17245030*x^3+1692098*x^2-3153974*x+11572]];
415
416
417bsd[318,1] = 0 ;
418deg[318,1] = 3 ;
419dsc[318,1] = 1 ;
420E  [318,1] = [x, [1,-1,-1,1,-1]];
421
422bsd[318,2] = 1 ;
423deg[318,2] = 3*17 ;
424dsc[318,2] = 1 ;
425E  [318,2] = [x, [1,-1,-1,1,4]];
426
427bsd[318,3] = 1/3 ;
428deg[318,3] = 3*5 ;
429dsc[318,3] = 1 ;
430E  [318,3] = [x, [1,-1,1,1,0]];
431
432bsd[318,4] = 0 ;
433deg[318,4] = 11 ;
434dsc[318,4] = 1 ;
435E  [318,4] = [x, [1,1,-1,1,-3]];
436
437bsd[318,5] = 1 ;
438deg[318,5] = 5 ;
439dsc[318,5] = 1 ;
440E  [318,5] = [x, [1,1,-1,1,0]];
441
442bsd[318,6] = 5 ;
443deg[318,6] = 5^2*43 ;
444dsc[318,6] = 41 ;
445E  [318,6] = [x^2-x-10, [1,-1,1,1,x]];
446
447bsd[318,7] = 1 ;
448deg[318,7] = 13 ;
449dsc[318,7] = 17 ;
450E  [318,7] = [x^2-x-4, [1,1,1,1,x]];
451
452
453bsd[319,1] = 1 ;
454deg[319,1] = 23 ;
455dsc[319,1] = 1 ;
456E  [319,1] = [x, [1,2,-3,2,1]];
457
458bsd[319,2] = 0 ;
459deg[319,2] = 3*17 ;
460dsc[319,2] = 3^4 ;
461E  [319,2] = [x^3-3*x-1, [1,x,-x,x^2-2,-2*x^2+x+2]];
462
463bsd[319,3] = 0 ;
464deg[319,3] = 1 ;
465dsc[319,3] = 2777 ;
466E  [319,3] = [x^4+2*x^3-3*x^2-3*x+2, [1,x,-x^3-2*x^2+2*x+1,x^2-2,x^3+2*x^2-2*x-3]];
467
468bsd[319,4] = 1/5 ;
469deg[319,4] = 3*5 ;
470dsc[319,4] = 127*1063*6709 ;
471E  [319,4] = [x^7-3*x^6-4*x^5+15*x^4+x^3-14*x^2+1, [1,x,-x^4+x^3+5*x^2-3*x-3,x^2-2,x^5-x^4-6*x^3+4*x^2+7*x-1]];
472
473bsd[319,5] = 1 ;
474deg[319,5] = 23*167 ;
475dsc[319,5] = 1433*2459*65551 ;
476E  [319,5] = [x^8-13*x^6-x^5+50*x^4+7*x^3-54*x^2-5*x+1, [9,9*x,-x^7-x^6+16*x^5+10*x^4-78*x^3-25*x^2+113*x+14,9*x^2-18,4*x^7-2*x^6-49*x^5+17*x^4+168*x^3-26*x^2-143*x+13]];
477
478
479bsd[320,1] = 0 ;
480deg[320,1] = 1 ;
481dsc[320,1] = 1 ;
482E  [320,1] = [x, [1,0,-2,0,1]];
483
484bsd[320,2] = 1 ;
485deg[320,2] = 1 ;
486dsc[320,2] = 1 ;
487E  [320,2] = [x, [1,0,-2,0,1]];
488
489bsd[320,3] = 0 ;
490deg[320,3] = 1 ;
491dsc[320,3] = 1 ;
492E  [320,3] = [x, [1,0,0,0,-1]];
493
494bsd[320,4] = 1 ;
495deg[320,4] = 1 ;
496dsc[320,4] = 1 ;
497E  [320,4] = [x, [1,0,0,0,-1]];
498
499bsd[320,5] = 1 ;
500deg[320,5] = 1 ;
501dsc[320,5] = 1 ;
502E  [320,5] = [x, [1,0,2,0,1]];
503
504bsd[320,6] = 1 ;
505deg[320,6] = 1 ;
506dsc[320,6] = 1 ;
507E  [320,6] = [x, [1,0,2,0,1]];
508
509bsd[320,7] = 1 ;
510deg[320,7] = 1 ;
511dsc[320,7] = 2^5 ;
512E  [320,7] = [x^2-8, [1,0,x,0,-1]];
513
514
515bsd[321,1] = 0 ;
516deg[321,1] = 5 ;
517dsc[321,1] = 5 ;
518E  [321,1] = [x^2+x-1, [1,-x-1,-1,x,1]];
519
520bsd[321,2] = 0 ;
521deg[321,2] = 41 ;
522dsc[321,2] = 5 ;
523E  [321,2] = [x^2+x-1, [1,-x-1,1,x,-3]];
524
525bsd[321,3] = 29/3^2 ;
526deg[321,3] = 29 ;
527dsc[321,3] = 2^4*826957 ;
528E  [321,3] = [x^6-3*x^5-5*x^4+18*x^3+x^2-19*x+3, [2,2*x,2,2*x^2-4,x^5-x^4-8*x^3+5*x^2+13*x]];
529
530bsd[321,4] = 1 ;
531deg[321,4] = 14051 ;
532dsc[321,4] = 2^4*21803*24443 ;
533E  [321,4] = [x^7-14*x^5-x^4+55*x^3+8*x^2-46*x-19, [4,4*x,-4,4*x^2-8,-x^6+x^5+11*x^4-10*x^3-31*x^2+25*x+13]];
534
535
536bsd[322,1] = 0 ;
537deg[322,1] = 3 ;
538dsc[322,1] = 1 ;
539E  [322,1] = [x, [1,-1,0,1,-2]];
540
541bsd[322,2] = 1 ;
542deg[322,2] = 7 ;
543dsc[322,2] = 1 ;
544E  [322,2] = [x, [1,-1,2,1,0]];
545
546bsd[322,3] = 0 ;
547deg[322,3] = 5 ;
548dsc[322,3] = 1 ;
549E  [322,3] = [x, [1,1,-2,1,-2]];
550
551bsd[322,4] = 1 ;
552deg[322,4] = 3 ;
553dsc[322,4] = 1 ;
554E  [322,4] = [x, [1,1,2,1,-2]];
555
556bsd[322,5] = 0 ;
557deg[322,5] = 5 ;
558dsc[322,5] = 2^2*5 ;
559E  [322,5] = [x^2+2*x-4, [1,-1,x,1,-x-2]];
560
561bsd[322,6] = 1 ;
562deg[322,6] = 3*11 ;
563dsc[322,6] = 2^2*3 ;
564E  [322,6] = [x^2+2*x-2, [1,1,x,1,x+2]];
565
566bsd[322,7] = 11 ;
567deg[322,7] = 11 ;
568dsc[322,7] = 2^4*79 ;
569E  [322,7] = [x^3-2*x^2-6*x+8, [1,1,x,1,-x+2]];
570
571
572bsd[323,1] = 1 ;
573deg[323,1] = 5*7 ;
574dsc[323,1] = 1 ;
575E  [323,1] = [x, [1,0,3,-2,-2]];
576
577bsd[323,2] = 1 ;
578deg[323,2] = 17 ;
579dsc[323,2] = 17 ;
580E  [323,2] = [x^2+x-4, [1,x,x+1,-x+2,2]];
581
582bsd[323,3] = 0 ;
583deg[323,3] = 3*7 ;
584dsc[323,3] = 19*103 ;
585E  [323,3] = [x^4-6*x^2-x+7, [1,x,x^3-2*x^2-4*x+5,x^2-2,-x^3+x^2+3*x-4]];
586
587bsd[323,4] = 0 ;
588deg[323,4] = 1 ;
589dsc[323,4] = 73*1453 ;
590E  [323,4] = [x^5+3*x^4-2*x^3-7*x^2+2*x+1, [1,x,-x^3-2*x^2+2*x+1,x^2-2,x^4+3*x^3-x^2-6*x-1]];
591
592bsd[323,5] = 1/3^2 ;
593deg[323,5] = 3*7*17 ;
594dsc[323,5] = 2^2*1627*17299 ;
595E  [323,5] = [x^6-2*x^5-9*x^4+15*x^3+23*x^2-23*x-21, [2,2*x,x^5-x^4-8*x^3+5*x^2+12*x-1,2*x^2-4,-2*x^4+2*x^3+14*x^2-8*x-18]];
596
597bsd[323,6] = 1/5 ;
598deg[323,6] = 1 ;
599dsc[323,6] = 2^2*353*1697*3851 ;
600E  [323,6] = [x^7-x^6-10*x^5+9*x^4+26*x^3-19*x^2-12*x+8, [2,2*x,x^6-x^5-10*x^4+7*x^3+26*x^2-7*x-10,2*x^2-4,2*x^6-20*x^4+52*x^2+2*x-20]];
601
602
603bsd[324,1] = 0 ;
604deg[324,1] = 3^2 ;
605dsc[324,1] = 1 ;
606E  [324,1] = [x, [1,0,0,0,-3]];
607
608bsd[324,2] = 1/3 ;
609deg[324,2] = 3^2 ;
610dsc[324,2] = 1 ;
611E  [324,2] = [x, [1,0,0,0,-3]];
612
613bsd[324,3] = 1/3 ;
614deg[324,3] = 3^2 ;
615dsc[324,3] = 1 ;
616E  [324,3] = [x, [1,0,0,0,3]];
617
618bsd[324,4] = 1 ;
619deg[324,4] = 3^2 ;
620dsc[324,4] = 1 ;
621E  [324,4] = [x, [1,0,0,0,3]];
622
623
624bsd[325,1] = 1/5 ;
625deg[325,1] = 3*7 ;
626dsc[325,1] = 1 ;
627E  [325,1] = [x, [1,-2,-1,2,0]];
628
629bsd[325,2] = 0 ;
630deg[325,2] = 3 ;
631dsc[325,2] = 1 ;
632E  [325,2] = [x, [1,0,-1,-2,0]];
633
634bsd[325,3] = 0 ;
635deg[325,3] = 3*5 ;
636dsc[325,3] = 1 ;
637E  [325,3] = [x, [1,0,1,-2,0]];
638
639bsd[325,4] = 1 ;
640deg[325,4] = 3 ;
641dsc[325,4] = 1 ;
642E  [325,4] = [x, [1,1,2,-1,0]];
643
644bsd[325,5] = 3 ;
645deg[325,5] = 3*7 ;
646dsc[325,5] = 1 ;
647E  [325,5] = [x, [1,2,1,2,0]];
648
649bsd[325,6] = 1 ;
650deg[325,6] = 3^2*5^2*7 ;
651dsc[325,6] = 2^3 ;
652E  [325,6] = [x^2+2*x-1, [1,x,-2*x-2,-2*x-1,0]];
653
654bsd[325,7] = 0 ;
655deg[325,7] = 3 ;
656dsc[325,7] = 2^2*3 ;
657E  [325,7] = [x^2-3, [1,x,-x-1,1,0]];
658
659bsd[325,8] = 1 ;
660deg[325,8] = 3^2*7 ;
661dsc[325,8] = 2^3 ;
662E  [325,8] = [x^2-8, [2,-x+2,2*x,-2*x+2,0]];
663
664bsd[325,9] = 1 ;
665deg[325,9] = 3^2 ;
666dsc[325,9] = 2^3 ;
667E  [325,9] = [x^2-2, [1,x+1,x,2*x+1,0]];
668
669bsd[325,10] = 0 ;
670deg[325,10] = 5 ;
671dsc[325,10] = 2^2*37 ;
672E  [325,10] = [x^3+3*x^2-x-5, [1,x,x^2+x-4,x^2-2,0]];
673
674bsd[325,11] = 1 ;
675deg[325,11] = 5^2 ;
676dsc[325,11] = 2^2*37 ;
677E  [325,11] = [x^3-3*x^2-x+5, [1,x,-x^2+x+4,x^2-2,0]];
678
679
680bsd[326,1] = 1/3 ;
681deg[326,1] = 3*17 ;
682dsc[326,1] = 1 ;
683E  [326,1] = [x, [1,-1,-2,1,-3]];
684
685bsd[326,2] = 0 ;
686deg[326,2] = 3^2 ;
687dsc[326,2] = 1 ;
688E  [326,2] = [x, [1,-1,0,1,-1]];
689
690bsd[326,3] = 0 ;
691deg[326,3] = 5 ;
692dsc[326,3] = 1 ;
693E  [326,3] = [x, [1,1,-2,1,-1]];
694
695bsd[326,4] = 1 ;
696deg[326,4] = 13*17*47 ;
697dsc[326,4] = 482689 ;
698E  [326,4] = [x^5-3*x^4-8*x^3+27*x^2-5*x-17, [13,-13,13*x,13,-7*x^4+10*x^3+68*x^2-84*x-32]];
699
700bsd[326,5] = 3^3*61/41 ;
701deg[326,5] = 3^3*61 ;
702dsc[326,5] = 617*28921 ;
703E  [326,5] = [x^6-5*x^5+29*x^3-25*x^2-35*x+36, [1,1,x,1,x^5-2*x^4-6*x^3+9*x^2+7*x-7]];
704
705
706bsd[327,1] = 0 ;
707deg[327,1] = 1 ;
708dsc[327,1] = 1 ;
709E  [327,1] = [x, [1,-1,1,-1,-1]];
710
711bsd[327,2] = 0 ;
712deg[327,2] = 13 ;
713dsc[327,2] = 2^2*37 ;
714E  [327,2] = [x^3+3*x^2-x-5, [1,x,-1,x^2-2,-1]];
715
716bsd[327,3] = 1 ;
717deg[327,3] = 107 ;
718dsc[327,3] = 2^4*1023203 ;
719E  [327,3] = [x^6-4*x^5-2*x^4+20*x^3-8*x^2-16*x+1, [2,2*x,-2,2*x^2-4,x^5-x^4-9*x^3+5*x^2+19*x+1]];
720
721bsd[327,4] = 139/5*11 ;
722deg[327,4] = 139 ;
723dsc[327,4] = 2^9*5*139*1033895651 ;
724E  [327,4] = [x^9-3*x^8-11*x^7+35*x^6+34*x^5-122*x^4-29*x^3+127*x^2+9*x-5, [6,6*x,6,6*x^2-12,-x^8-x^7+16*x^6+14*x^5-80*x^4-60*x^3+125*x^2+85*x-2]];
725
726
727bsd[328,1] = 0 ;
728deg[328,1] = 1 ;
729dsc[328,1] = 1 ;
730E  [328,1] = [x, [1,0,0,0,-2]];
731
732bsd[328,2] = 1 ;
733deg[328,2] = 3 ;
734dsc[328,2] = 1 ;
735E  [328,2] = [x, [1,0,2,0,2]];
736
737bsd[328,3] = 1 ;
738deg[328,3] = 1 ;
739dsc[328,3] = 2^2*3 ;
740E  [328,3] = [x^2-2*x-2, [1,0,x,0,0]];
741
742bsd[328,4] = 0 ;
743deg[328,4] = 1 ;
744dsc[328,4] = 2^2*37 ;
745E  [328,4] = [x^3+4*x^2+2*x-2, [1,0,x,0,-x^2-4*x-2]];
746
747bsd[328,5] = 1 ;
748deg[328,5] = 3 ;
749dsc[328,5] = 2^2*197 ;
750E  [328,5] = [x^3+2*x^2-6*x-10, [1,0,x,0,-x^2+6]];
751
752
753bsd[329,1] = 1 ;
754deg[329,1] = 3^2*5 ;
755dsc[329,1] = 1 ;
756E  [329,1] = [x, [1,-1,-1,-1,3]];
757
758bsd[329,2] = 1 ;
759deg[329,2] = 13 ;
760dsc[329,2] = 17 ;
761E  [329,2] = [x^2-x-4, [1,-1,x,-1,x-2]];
762
763bsd[329,3] = 0 ;
764deg[329,3] = 83 ;
765dsc[329,3] = 7^2 ;
766E  [329,3] = [x^3+4*x^2+3*x-1, [1,-x^2-3*x-1,x,x+1,x^2+x-2]];
767
768bsd[329,4] = 0 ;
769deg[329,4] = 1 ;
770dsc[329,4] = 7^2 ;
771E  [329,4] = [x^3+2*x^2-x-1, [1,-x^2-x+1,x,-x-1,x^2+x-2]];
772
773bsd[329,5] = 1 ;
774deg[329,5] = 19*37 ;
775dsc[329,5] = 2^2*37 ;
776E  [329,5] = [x^3-x^2-5*x+1, [2,2*x,2*x^2-2*x-6,2*x^2-4,x^2-4*x-3]];
777
778bsd[329,6] = 1 ;
779deg[329,6] = 5*31*37 ;
780dsc[329,6] = 2^4*5*51607 ;
781E  [329,6] = [x^5-x^4-11*x^3+12*x^2+28*x-33, [1,x,-x^2+5,x^2-2,x-1]];
782
783bsd[329,7] = 1/3 ;
784deg[329,7] = 13 ;
785dsc[329,7] = 2^2*11*1447*1609 ;
786E  [329,7] = [x^6-12*x^4+5*x^3+36*x^2-29*x+3, [2,2*x,-2*x^3+12*x-4,2*x^2-4,x^5+x^4-9*x^3-4*x^2+20*x-3]];
787
788
789bsd[330,1] = 1 ;
790deg[330,1] = 5 ;
791dsc[330,1] = 1 ;
792E  [330,1] = [x, [1,-1,-1,1,-1]];
793
794bsd[330,2] = 0 ;
795deg[330,2] = 1 ;
796dsc[330,2] = 1 ;
797E  [330,2] = [x, [1,-1,-1,1,1]];
798
799bsd[330,3] = 7 ;
800deg[330,3] = 5*7 ;
801dsc[330,3] = 1 ;
802E  [330,3] = [x, [1,1,-1,1,-1]];
803
804bsd[330,4] = 1 ;
805deg[330,4] = 3 ;
806dsc[330,4] = 1 ;
807E  [330,4] = [x, [1,1,-1,1,1]];
808
809bsd[330,5] = 1 ;
810deg[330,5] = 1 ;
811dsc[330,5] = 1 ;
812E  [330,5] = [x, [1,1,1,1,1]];
813
814
815bsd[331,1] = 0 ;
816deg[331,1] = 3 ;
817dsc[331,1] = 1 ;
818E  [331,1] = [x, [1,-1,-2,-1,1]];
819
820bsd[331,2] = 0 ;
821deg[331,2] = 53 ;
822dsc[331,2] = 229 ;
823E  [331,2] = [x^3+2*x^2-4*x-7, [1,x,-x-1,x^2-2,-x^2+2]];
824
825bsd[331,3] = 0 ;
826deg[331,3] = 3*53 ;
827dsc[331,3] = 1399*21911 ;
828E  [331,3] = [x^7+2*x^6-6*x^5-8*x^4+11*x^3+3*x^2-5*x+1, [1,x,-x^6-3*x^5+4*x^4+13*x^3-4*x^2-9*x+3,x^2-2,4*x^6+10*x^5-19*x^4-42*x^3+23*x^2+25*x-11]];
829
830bsd[331,4] = 1/5*11 ;
831deg[331,4] = 1 ;
832dsc[331,4] = 2^8*205493*6363601*584461573862449 ;
833E  [331,4] = [x^16-3*x^15-19*x^14+60*x^13+136*x^12-465*x^11-448*x^10+1747*x^9+657*x^8-3241*x^7-375*x^6+2695*x^5+230*x^4-855*x^3-110*x^2+56*x+8, [41780,41780*x,-4276*x^15+23524*x^14+68316*x^13-474080*x^12-338312*x^11+3693332*x^10+175008*x^9-13891412*x^8+2998032*x^7+25579616*x^6-7116248*x^5-20655908*x^4+3524776*x^3+6029232*x^2-256088*x-281880,41780*x^2-83560,-193*x^15+3141*x^14+8817*x^13-69654*x^12-125856*x^11+604449*x^10+805006*x^9-2602543*x^8-2497031*x^7+5769595*x^6+3522077*x^5-6042977*x^4-1713460*x^3+2150027*x^2+178468*x-59228]];
834
835
836bsd[332,1] = 0 ;
837deg[332,1] = 3^2 ;
838dsc[332,1] = 2^3 ;
839E  [332,1] = [x^2+2*x-1, [1,0,x,0,-x-1]];
840
841bsd[332,2] = 1 ;
842deg[332,2] = 3*29 ;
843dsc[332,2] = 2^2*7 ;
844E  [332,2] = [x^2-7, [1,0,x,0,x-1]];
845
846bsd[332,3] = 1 ;
847deg[332,3] = 3^3*29 ;
848dsc[332,3] = 7^2 ;
849E  [332,3] = [x^3-4*x^2+3*x+1, [1,0,x,0,-2*x^2+4*x+2]];
850
851
852bsd[333,1] = 0 ;
853deg[333,1] = 1 ;
854dsc[333,1] = 1 ;
855E  [333,1] = [x, [1,-1,0,-1,2]];
856
857bsd[333,2] = 0 ;
858deg[333,2] = 5 ;
859dsc[333,2] = 1 ;
860E  [333,2] = [x, [1,0,0,-2,0]];
861
862bsd[333,3] = 0 ;
863deg[333,3] = 3 ;
864dsc[333,3] = 1 ;
865E  [333,3] = [x, [1,1,0,-1,-2]];
866
867bsd[333,4] = 1 ;
868deg[333,4] = 7 ;
869dsc[333,4] = 1 ;
870E  [333,4] = [x, [1,2,0,2,2]];
871
872bsd[333,5] = 0 ;
873deg[333,5] = 5 ;
874dsc[333,5] = 2^2*37 ;
875E  [333,5] = [x^3+3*x^2-x-5, [1,x,0,x^2-2,x^2-5]];
876
877bsd[333,6] = 1/3 ;
878deg[333,6] = 3 ;
879dsc[333,6] = 2^10*3^3 ;
880E  [333,6] = [x^4-6*x^2+3, [1,x,0,x^2-2,-x^3+5*x]];
881
882bsd[333,7] = 1 ;
883deg[333,7] = 7 ;
884dsc[333,7] = 2^4*389 ;
885E  [333,7] = [x^4-6*x^2-2*x+5, [1,x,0,x^2-2,-x^3+2*x^2+3*x-4]];
886
887
888bsd[334,1] = 1 ;
889deg[334,1] = 1 ;
890dsc[334,1] = 1 ;
891E  [334,1] = [x, [1,1,0,1,3]];
892
893bsd[334,2] = 0 ;
894deg[334,2] = 5 ;
895dsc[334,2] = 5 ;
896E  [334,2] = [x^2+x-1, [1,-1,x,1,-1]];
897
898bsd[334,3] = 1 ;
899deg[334,3] = 3^2*7^2 ;
900dsc[334,3] = 2^3 ;
901E  [334,3] = [x^2-8, [2,-2,2*x,2,-x+2]];
902
903bsd[334,4] = 0 ;
904deg[334,4] = 3^2*11 ;
905dsc[334,4] = 5 ;
906E  [334,4] = [x^2+3*x+1, [1,1,x,1,-2*x-5]];
907
908bsd[334,5] = 1 ;
909deg[334,5] = 7^2*113 ;
910dsc[334,5] = 7*67 ;
911E  [334,5] = [x^3+x^2-5*x-4, [1,-1,x,1,-x^2+x+4]];
912
913bsd[334,6] = 11/7 ;
914deg[334,6] = 11 ;
915dsc[334,6] = 733 ;
916E  [334,6] = [x^3-x^2-7*x+8, [1,1,x,1,-1]];
917
918bsd[335,1] = 0 ;
919deg[335,1] = 1 ;
920dsc[335,1] = 1 ;
921E  [335,1] = [x, [1,0,0,-2,1]];
922
923bsd[335,2] = 0 ;
924deg[335,2] = 3^2 ;
925dsc[335,2] = 2^3 ;
926E  [335,2] = [x^2-2, [1,x,-x,0,-1]];
927
928bsd[335,3] = 1 ;
929deg[335,3] = 179 ;
930dsc[335,3] = 5 ;
931E  [335,3] = [x^2-x-1, [1,x,2*x-1,x-1,-1]];
932
933bsd[335,4] = 1/3 ;
934deg[335,4] = 59*179 ;
935dsc[335,4] = 3*29*71*83*887 ;
936E  [335,4] = [x^7-2*x^6-12*x^5+21*x^4+42*x^3-52*x^2-39*x-6, [1,x,-2*x^6+x^5+23*x^4-8*x^3-66*x^2+12*x+10,x^2-2,-1]];
937
938bsd[335,5] = 3^4/17 ;
939deg[335,5] = 3^4 ;
940dsc[335,5] = 2^2*26393*6262079*23057641 ;
941E  [335,5] = [x^11-18*x^9+2*x^8+114*x^7-24*x^6-306*x^5+86*x^4+332*x^3-109*x^2-114*x+46, [5261,5261*x,43*x^10-84*x^9-1344*x^8+1488*x^7+13496*x^6-9411*x^5-54847*x^4+24218*x^3+84666*x^2-17145*x-28424,5261*x^2-10522,5261]];
942
943
944bsd[336,1] = 0 ;
945deg[336,1] = 1 ;
946dsc[336,1] = 1 ;
947E  [336,1] = [x, [1,0,-1,0,-2]];
948
949bsd[336,2] = 1 ;
950deg[336,2] = 3 ;
951dsc[336,2] = 1 ;
952E  [336,2] = [x, [1,0,-1,0,0]];
953
954bsd[336,3] = 1 ;
955deg[336,3] = 1 ;
956dsc[336,3] = 1 ;
957E  [336,3] = [x, [1,0,-1,0,2]];
958
959bsd[336,4] = 1 ;
960deg[336,4] = 3 ;
961dsc[336,4] = 1 ;
962E  [336,4] = [x, [1,0,1,0,-2]];
963
964bsd[336,5] = 3 ;
965deg[336,5] = 3 ;
966dsc[336,5] = 1 ;
967E  [336,5] = [x, [1,0,1,0,2]];
968
969bsd[336,6] = 1 ;
970deg[336,6] = 3 ;
971dsc[336,6] = 1 ;
972E  [336,6] = [x, [1,0,1,0,4]];
973
974
975bsd[337,1] = 0 ;
976deg[337,1] = 1 ;
977dsc[337,1] = 113*2791*747945736667 ;
978E  [337,1] = [x^12+6*x^11+x^10-54*x^9-76*x^8+135*x^7+289*x^6-97*x^5-392*x^4-28*x^3+201*x^2+36*x-27, [27,27*x,-41*x^11-207*x^10+148*x^9+2037*x^8+1208*x^7-6366*x^6-5621*x^5+8552*x^4+7303*x^3-5185*x^2-2844*x+1116,27*x^2-54,76*x^11+360*x^10-356*x^9-3552*x^8-1393*x^7+11103*x^6+7618*x^5-14677*x^4-9914*x^3+8360*x^2+3798*x-1638]];
979
980bsd[337,2] = 1/7 ;
981deg[337,2] = 1 ;
982dsc[337,2] = 2^4*593*2963615537*4122851467451 ;
983E  [337,2] = [x^15-3*x^14-18*x^13+56*x^12+123*x^11-402*x^10-400*x^9+1395*x^8+643*x^7-2406*x^6-496*x^5+1843*x^4+200*x^3-388*x^2-69*x+1, [3236,3236*x,-3898*x^14+5280*x^13+79908*x^12-90208*x^11-644046*x^10+562758*x^9+2571518*x^8-1535848*x^7-5214430*x^6+1653582*x^5+4746334*x^4-273200*x^3-1150808*x^2-141708*x+9182,3236*x^2-6472,1942*x^14-3816*x^13-37056*x^12+66196*x^11+274450*x^10-425482*x^9-996046*x^8+1239704*x^7+1830210*x^6-1595610*x^5-1522558*x^4+706972*x^3+341584*x^2-43748*x-7070]];
984
985
986bsd[338,1] = 0 ;
987deg[338,1] = 3*7 ;
988dsc[338,1] = 1 ;
989E  [338,1] = [x, [1,-1,-3,1,1]];
990
991bsd[338,2] = 1 ;
992deg[338,2] = 3*13 ;
993dsc[338,2] = 1 ;
994E  [338,2] = [x, [1,-1,-1,1,3]];
995
996bsd[338,3] = 0 ;
997deg[338,3] = 3 ;
998dsc[338,3] = 1 ;
999E  [338,3] = [x, [1,-1,0,1,1]];
1000
1001bsd[338,4] = 0 ;
1002deg[338,4] = 3 ;
1003dsc[338,4] = 1 ;
1004E  [338,4] = [x, [1,1,-1,1,-3]];
1005
1006bsd[338,5] = 1 ;
1007deg[338,5] = 3*13 ;
1008dsc[338,5] = 1 ;
1009E  [338,5] = [x, [1,1,0,1,-1]];
1010
1011bsd[338,6] = 1 ;
1012deg[338,6] = 7 ;
1013dsc[338,6] = 1 ;
1014E  [338,6] = [x, [1,1,1,1,3]];
1015
1016bsd[338,7] = 1 ;
1017deg[338,7] = 7*13*41 ;
1018dsc[338,7] = 7^2 ;
1019E  [338,7] = [x^3-3*x^2-4*x+13, [1,-1,x,1,2*x^2-12]];
1020
1021bsd[338,8] = 41/13 ;
1022deg[338,8] = 7*13*41 ;
1023dsc[338,8] = 7^2 ;
1024E  [338,8] = [x^3-3*x^2-4*x+13, [1,1,x,1,-2*x^2+12]];
1025
1026
1027bsd[339,1] = 0 ;
1028deg[339,1] = 3 ;
1029dsc[339,1] = 1 ;
1030E  [339,1] = [x, [1,-2,1,2,-3]];
1031
1032bsd[339,2] = 0 ;
1033deg[339,2] = 3^2 ;
1034dsc[339,2] = 1 ;
1035E  [339,2] = [x, [1,0,1,-2,-1]];
1036
1037bsd[339,3] = 1 ;
1038deg[339,3] = 3^2*7 ;
1039dsc[339,3] = 1 ;
1040E  [339,3] = [x, [1,2,-1,2,2]];
1041
1042bsd[339,4] = 1 ;
1043deg[339,4] = 7*71 ;
1044dsc[339,4] = 2^3 ;
1045E  [339,4] = [x^2+2*x-1, [1,x,-1,-2*x-1,-2*x-1]];
1046
1047bsd[339,5] = 0 ;
1048deg[339,5] = 7 ;
1049dsc[339,5] = 2^3 ;
1050E  [339,5] = [x^2-2, [1,x,-1,0,-x-1]];
1051
1052bsd[339,6] = 13 ;
1053deg[339,6] = 13^2 ;
1054dsc[339,6] = 17 ;
1055E  [339,6] = [x^2-3*x-2, [1,2,1,2,x]];
1056
1057bsd[339,7] = 13/19 ;
1058deg[339,7] = 13^2 ;
1059dsc[339,7] = 2^5*8297 ;
1060E  [339,7] = [x^5-7*x^3-4*x^2+6*x+2, [1,x,1,x^2-2,-x^4+x^3+5*x^2-x-1]];
1061
1062bsd[339,8] = 1 ;
1063deg[339,8] = 11^2*71 ;
1064dsc[339,8] = 2^2*470621 ;
1065E  [339,8] = [x^5-x^4-10*x^3+6*x^2+22*x+4, [2,2*x,-2,2*x^2-4,-2*x^3-2*x^2+14*x+10]];
1066
1067
1068bsd[340,1] = 0 ;
1069deg[340,1] = 3 ;
1070dsc[340,1] = 1 ;
1071E  [340,1] = [x, [1,0,0,0,-1]];
1072
1073bsd[340,2] = 3 ;
1074deg[340,2] = 3^3 ;
1075dsc[340,2] = 2^4*101 ;
1076E  [340,2] = [x^3-8*x+4, [1,0,x,0,1]];
1077
1078
1079bsd[341,1] = 0 ;
1080deg[341,1] = 5 ;
1081dsc[341,1] = 5 ;
1082E  [341,1] = [x^2-x-1, [1,x,-1,x-1,-x-1]];
1083
1084bsd[341,2] = 0 ;
1085deg[341,2] = 1 ;
1086dsc[341,2] = 5^2*89 ;
1087E  [341,2] = [x^4+2*x^3-5*x^2-6*x+4, [2,-x^2-x+2,2*x,x^2+x-4,x^3+x^2-6*x-2]];
1088
1089bsd[341,3] = 1/3 ;
1090deg[341,3] = 7^2 ;
1091dsc[341,3] = 2^6*14444130109 ;
1092E  [341,3] = [x^8-x^7-14*x^6+11*x^5+60*x^4-31*x^3-74*x^2+5*x+3, [4,4*x,x^7-x^6-13*x^5+10*x^4+51*x^3-25*x^2-55*x+4,4*x^2-8,-2*x^4+2*x^3+12*x^2-10*x-6]];
1093
1094bsd[341,4] = 1 ;
1095deg[341,4] = 3*13 ;
1096dsc[341,4] = 2^6*3*151*1121599*344460847 ;
1097E  [341,4] = [x^11-x^10-20*x^9+20*x^8+141*x^7-135*x^6-421*x^5+347*x^4+530*x^3-288*x^2-239*x+17, [88,88*x,-7*x^10+2*x^9+132*x^8-30*x^7-867*x^6+134*x^5+2301*x^4-138*x^3-2058*x^2-136*x+171,88*x^2-176,-x^10-6*x^9+22*x^8+90*x^7-171*x^6-402*x^5+555*x^4+458*x^3-668*x^2+188*x+191]];
1098
1099
1100bsd[342,1] = 0 ;
1101deg[342,1] = 1 ;
1102dsc[342,1] = 1 ;
1103E  [342,1] = [x, [1,-1,0,1,-2]];
1104
1105bsd[342,2] = 1 ;
1106deg[342,2] = 3*5 ;
1107dsc[342,2] = 1 ;
1108E  [342,2] = [x, [1,-1,0,1,-2]];
1109
1110bsd[342,3] = 0 ;
1111deg[342,3] = 3 ;
1112dsc[342,3] = 1 ;
1113E  [342,3] = [x, [1,-1,0,1,0]];
1114
1115bsd[342,4] = 1 ;
1116deg[342,4] = 3*5 ;
1117dsc[342,4] = 1 ;
1118E  [342,4] = [x, [1,-1,0,1,4]];
1119
1120bsd[342,5] = 3 ;
1121deg[342,5] = 3*5 ;
1122dsc[342,5] = 1 ;
1123E  [342,5] = [x, [1,1,0,1,0]];
1124
1125bsd[342,6] = 1 ;
1126deg[342,6] = 5 ;
1127dsc[342,6] = 1 ;
1128E  [342,6] = [x, [1,1,0,1,0]];
1129
1130bsd[342,7] = 1 ;
1131deg[342,7] = 3 ;
1132dsc[342,7] = 1 ;
1133E  [342,7] = [x, [1,1,0,1,2]];
1134
1135
1136bsd[343,1] = 0 ;
1137deg[343,1] = 7^2 ;
1138dsc[343,1] = 7^2 ;
1139E  [343,1] = [x^3+4*x^2+3*x-1, [1,x,0,x^2-2,0]];
1140
1141bsd[343,2] = 1 ;
1142deg[343,2] = 7^2*29 ;
1143dsc[343,2] = 7^2 ;
1144E  [343,2] = [x^3-3*x^2-4*x+13, [1,x,0,x^2-2,0]];
1145
1146bsd[343,3] = 0 ;
1147deg[343,3] = 7^2 ;
1148dsc[343,3] = 7^4*13*41 ;
1149E  [343,3] = [x^6+5*x^5-x^4-34*x^3-28*x^2+49*x+49, [7,9*x^5+24*x^4-65*x^3-159*x^2+105*x+203,7*x,4*x^5+13*x^4-25*x^3-80*x^2+35*x+91,-7*x^5-21*x^4+49*x^3+140*x^2-84*x-196]];
1150
1151bsd[343,4] = 1/7 ;
1152deg[343,4] = 7^5 ;
1153dsc[343,4] = 7^4*13*41 ;
1154E  [343,4] = [x^6-5*x^5-x^4+34*x^3-28*x^2-49*x+49, [7,-9*x^5+24*x^4+65*x^3-159*x^2-105*x+203,7*x,-4*x^5+13*x^4+25*x^3-80*x^2-35*x+91,-7*x^5+21*x^4+49*x^3-140*x^2-84*x+196]];
1155
1156bsd[343,5] = 1/7 ;
1157deg[343,5] = 7^3*29 ;
1158dsc[343,5] = 2^9*7^4*29 ;
1159E  [343,5] = [x^6-20*x^4+124*x^2-232, [4,-x^4+14*x^2-40,4*x,-2*x^4+26*x^2-72,x^5-14*x^3+44*x]];
1160
1161
1162bsd[344,1] = 0 ;
1163deg[344,1] = 1 ;
1164dsc[344,1] = 1 ;
1165E  [344,1] = [x, [1,0,0,0,-2]];
1166
1167bsd[344,2] = 0 ;
1168deg[344,2] = 1 ;
1169dsc[344,2] = 2^2*3 ;
1170E  [344,2] = [x^2+2*x-2, [1,0,x,0,-x-2]];
1171
1172bsd[344,3] = 1 ;
1173deg[344,3] = 1 ;
1174dsc[344,3] = 229 ;
1175E  [344,3] = [x^3-3*x^2-x+4, [1,0,x,0,-x^2+2*x+2]];
1176
1177bsd[344,4] = 1 ;
1178deg[344,4] = 1 ;
1179dsc[344,4] = 2^2*1999567 ;
1180E  [344,4] = [x^5+x^4-13*x^3-8*x^2+42*x+8, [2,0,2*x,0,2*x^3-14*x+4]];
1181
1182
1183bsd[345,1] = 0 ;
1184deg[345,1] = 3 ;
1185dsc[345,1] = 1 ;
1186E  [345,1] = [x, [1,-2,1,2,1]];
1187
1188bsd[345,2] = 1 ;
1189deg[345,2] = 5 ;
1190dsc[345,2] = 1 ;
1191E  [345,2] = [x, [1,-1,1,-1,-1]];
1192
1193bsd[345,3] = 1 ;
1194deg[345,3] = 5 ;
1195dsc[345,3] = 1 ;
1196E  [345,3] = [x, [1,0,-1,-2,-1]];
1197
1198bsd[345,4] = 0 ;
1199deg[345,4] = 1 ;
1200dsc[345,4] = 1 ;
1201E  [345,4] = [x, [1,0,1,-2,-1]];
1202
1203bsd[345,5] = 5 ;
1204deg[345,5] = 3*5^2 ;
1205dsc[345,5] = 1 ;
1206E  [345,5] = [x, [1,1,1,-1,-1]];
1207
1208bsd[345,6] = 1 ;
1209deg[345,6] = 3 ;
1210dsc[345,6] = 1 ;
1211E  [345,6] = [x, [1,2,-1,2,1]];
1212
1213bsd[345,7] = 0 ;
1214deg[345,7] = 3*11 ;
1215dsc[345,7] = 2^2*3 ;
1216E  [345,7] = [x^2+2*x-2, [1,x,-1,-2*x,1]];
1217
1218bsd[345,8] = 0 ;
1219deg[345,8] = 3^2 ;
1220dsc[345,8] = 2^3 ;
1221E  [345,8] = [x^2-2, [1,x,-1,0,-1]];
1222
1223bsd[345,9] = 5/3 ;
1224deg[345,9] = 5^3 ;
1225dsc[345,9] = 2^3*3 ;
1226E  [345,9] = [x^2-6, [1,x,1,4,-1]];
1227
1228bsd[345,10] = 1 ;
1229deg[345,10] = 11 ;
1230dsc[345,10] = 2^2*79 ;
1231E  [345,10] = [x^3+x^2-4*x-2, [1,x,1,x^2-2,1]];
1232
1233
1234bsd[346,1] = 0 ;
1235deg[346,1] = 7 ;
1236dsc[346,1] = 1 ;
1237E  [346,1] = [x, [1,1,-1,1,-3]];
1238
1239bsd[346,2] = 1 ;
1240deg[346,2] = 7 ;
1241dsc[346,2] = 1 ;
1242E  [346,2] = [x, [1,1,1,1,-1]];
1243
1244bsd[346,3] = 1 ;
1245deg[346,3] = 7*67 ;
1246dsc[346,3] = 229 ;
1247E  [346,3] = [x^3-x^2-6*x+4, [2,-2,2*x,2,-x^2+x+4]];
1248
1249bsd[346,4] = 0 ;
1250deg[346,4] = 31 ;
1251dsc[346,4] = 2777 ;
1252E  [346,4] = [x^4+2*x^3-5*x^2-5*x-1, [1,-1,x,1,-3*x^3-5*x^2+16*x+7]];
1253
1254bsd[346,5] = 79/29 ;
1255deg[346,5] = 7*79 ;
1256dsc[346,5] = 2075621 ;
1257E  [346,5] = [x^5+3*x^4-8*x^3-21*x^2+18*x+28, [2,2,2*x,2,-x^4-x^3+6*x^2+x]];
1258
1259
1260bsd[347,1] = 0 ;
1261deg[347,1] = 7 ;
1262dsc[347,1] = 1 ;
1263E  [347,1] = [x, [1,-2,1,2,0]];
1264
1265bsd[347,2] = 0 ;
1266deg[347,2] = 19 ;
1267dsc[347,2] = 5 ;
1268E  [347,2] = [x^2+x-1, [1,1,x,-1,-2*x-2]];
1269
1270bsd[347,3] = 0 ;
1271deg[347,3] = 7*19 ;
1272dsc[347,3] = 331*479*617 ;
1273E  [347,3] = [x^7+2*x^6-7*x^5-15*x^4+6*x^3+22*x^2+9*x+1, [1,x,-x^6-3*x^5+7*x^4+23*x^3-7*x^2-35*x-8,x^2-2,-x^6-x^5+8*x^4+7*x^3-13*x^2-10*x-1]];
1274
1275bsd[347,4] = 1/173 ;
1276deg[347,4] = 1 ;
1277dsc[347,4] = 2^7*349*1797330450291217*918291275915301361 ;
1278E  [347,4] = [x^19-30*x^17+x^16+374*x^15-21*x^14-2509*x^13+166*x^12+9794*x^11-586*x^10-22435*x^9+749*x^8+28885*x^7+329*x^6-18752*x^5-878*x^4+4788*x^3-64*x^2-352*x+32, [4704816,4704816*x,2368973*x^18+4202164*x^17-63214018*x^16-110092731*x^15+679595698*x^14+1165084067*x^13-3751578757*x^12-6367003458*x^11+11162952046*x^10+19024606398*x^9-16906363175*x^8-30144731499*x^7+10241331209*x^6+22186663277*x^5-341241168*x^4-5287650274*x^3-157668644*x^2+330801672*x-13694144,4704816*x^2-9409632,-3922172*x^18-7142908*x^17+104986096*x^16+187075956*x^15-1134802396*x^14-1979205548*x^13+6325871704*x^12+10819031484*x^11-19184640592*x^10-32397813168*x^9+30341413484*x^8+51731713176*x^7-21098505200*x^6-39018148856*x^5+3930099180*x^4+10149008056*x^3-623105848*x^2-698144832*x+75070112]];
1279
1280
1281bsd[348,1] = 1 ;
1282deg[348,1] = 3^2*5 ;
1283dsc[348,1] = 1 ;
1284E  [348,1] = [x, [1,0,-1,0,-2]];
1285
1286bsd[348,2] = 0 ;
1287deg[348,2] = 3 ;
1288dsc[348,2] = 1 ;
1289E  [348,2] = [x, [1,0,-1,0,0]];
1290
1291bsd[348,3] = 0 ;
1292deg[348,3] = 3*7 ;
1293dsc[348,3] = 1 ;
1294E  [348,3] = [x, [1,0,1,0,-4]];
1295
1296bsd[348,4] = 1 ;
1297deg[348,4] = 3 ;
1298dsc[348,4] = 1 ;
1299E  [348,4] = [x, [1,0,1,0,2]];
1300
1301
1302bsd[349,1] = 0 ;
1303deg[349,1] = 1 ;
1304dsc[349,1] = 13*1118857*72318613 ;
1305E  [349,1] = [x^11+5*x^10-x^9-35*x^8-24*x^7+80*x^6+66*x^5-77*x^4-56*x^3+31*x^2+15*x-4, [2,2*x,-3*x^10-13*x^9+10*x^8+91*x^7+14*x^6-205*x^5-35*x^4+181*x^3-11*x^2-51*x+14,2*x^2-4,x^9+6*x^8+4*x^7-33*x^6-49*x^5+44*x^4+87*x^3-14*x^2-39*x]];
1306
1307bsd[349,2] = 1/29 ;
1308deg[349,2] = 1 ;
1309dsc[349,2] = 2^6*103*6771977049413*1313981654817031 ;
1310E  [349,2] = [x^17-5*x^16-14*x^15+102*x^14+26*x^13-792*x^12+474*x^11+2887*x^10-3021*x^9-4835*x^8+6673*x^7+2880*x^6-5373*x^5-164*x^4+1075*x^3+75*x^2-41*x-4, [13854332,13854332*x,2860032*x^16-15887372*x^15-33177138*x^14+317730102*x^13-66092796*x^12-2386732742*x^11+2451331270*x^10+8163042720*x^9-12663967038*x^8-11641298456*x^7+25913718850*x^6+2710729868*x^5-19542794682*x^4+3782795730*x^3+3257805434*x^2-347417714*x-106918476,13854332*x^2-27708664,954477*x^16-6048190*x^15-9436362*x^14+122225562*x^13-56644828*x^12-933243792*x^11+1102309566*x^10+3290717187*x^9-5364723646*x^8-5084510469*x^7+10918796292*x^6+2175158294*x^5-8563127797*x^4+550576315*x^3+1738656858*x^2+84175177*x-60860676]];
1311
1312
1313bsd[350,1] = 0 ;
1314deg[350,1] = 3 ;
1315dsc[350,1] = 1 ;
1316E  [350,1] = [x, [1,-1,-1,1,0]];
1317
1318bsd[350,2] = 1 ;
1319deg[350,2] = 3 ;
1320dsc[350,2] = 1 ;
1321E  [350,2] = [x, [1,-1,0,1,0]];
1322
1323bsd[350,3] = 1 ;
1324deg[350,3] = 3*5*11 ;
1325dsc[350,3] = 1 ;
1326E  [350,3] = [x, [1,-1,3,1,0]];
1327
1328bsd[350,4] = 0 ;
1329deg[350,4] = 3*11 ;
1330dsc[350,4] = 1 ;
1331E  [350,4] = [x, [1,1,-3,1,0]];
1332
1333bsd[350,5] = 1 ;
1334deg[350,5] = 3*5 ;
1335dsc[350,5] = 1 ;
1336E  [350,5] = [x, [1,1,1,1,0]];
1337
1338bsd[350,6] = 1 ;
1339deg[350,6] = 3 ;
1340dsc[350,6] = 1 ;
1341E  [350,6] = [x, [1,1,2,1,0]];
1342
1343bsd[350,7] = 1 ;
1344deg[350,7] = 5^2 ;
1345dsc[350,7] = 2^3*3 ;
1346E  [350,7] = [x^2-6, [1,-1,x,1,0]];
1347
1348bsd[350,8] = 5 ;
1349deg[350,8] = 5^2 ;
1350dsc[350,8] = 2^3*3 ;
1351E  [350,8] = [x^2-6, [1,1,x,1,0]];
1352
1353
1354bsd[351,1] = 0 ;
1355deg[351,1] = 3^2 ;
1356dsc[351,1] = 5 ;
1357E  [351,1] = [x^2+x-1, [1,x,0,-x-1,x-1]];
1358
1359bsd[351,2] = 0 ;
1360deg[351,2] = 3^2 ;
1361dsc[351,2] = 13 ;
1362E  [351,2] = [x^2+x-3, [1,x,0,-x+1,-x-3]];
1363
1364bsd[351,3] = 1 ;
1365deg[351,3] = 3^4 ;
1366dsc[351,3] = 5 ;
1367E  [351,3] = [x^2-x-1, [1,x,0,x-1,x+1]];
1368
1369bsd[351,4] = 1/3 ;
1370deg[351,4] = 3^3 ;
1371dsc[351,4] = 13 ;
1372E  [351,4] = [x^2-x-3, [1,x,0,x+1,-x+3]];
1373
1374bsd[351,5] = 1 ;
1375deg[351,5] = 3^5 ;
1376dsc[351,5] = 2^4*3*37^2 ;
1377E  [351,5] = [x^4-7*x^2+3, [1,x,0,x^2-2,-x^3+6*x]];
1378
1379bsd[351,6] = 1 ;
1380deg[351,6] = 3^6*19 ;
1381dsc[351,6] = 2^4*5^2*19 ;
1382E  [351,6] = [x^4-9*x^2+19, [1,x,0,x^2-2,x^3-4*x]];
1383
1384
1385bsd[352,1] = 0 ;
1386deg[352,1] = 3 ;
1387dsc[352,1] = 1 ;
1388E  [352,1] = [x, [1,0,-3,0,1]];
1389
1390bsd[352,2] = 0 ;
1391deg[352,2] = 1 ;
1392dsc[352,2] = 1 ;
1393E  [352,2] = [x, [1,0,-1,0,-3]];
1394
1395bsd[352,3] = 0 ;
1396deg[352,3] = 1 ;
1397dsc[352,3] = 1 ;
1398E  [352,3] = [x, [1,0,-1,0,1]];
1399
1400bsd[352,4] = 0 ;
1401deg[352,4] = 1 ;
1402dsc[352,4] = 1 ;
1403E  [352,4] = [x, [1,0,1,0,-3]];
1404
1405bsd[352,5] = 1 ;
1406deg[352,5] = 1 ;
1407dsc[352,5] = 1 ;
1408E  [352,5] = [x, [1,0,1,0,1]];
1409
1410bsd[352,6] = 1 ;
1411deg[352,6] = 3 ;
1412dsc[352,6] = 1 ;
1413E  [352,6] = [x, [1,0,3,0,1]];
1414
1415bsd[352,7] = 1 ;
1416deg[352,7] = 1 ;
1417dsc[352,7] = 17 ;
1418E  [352,7] = [x^2+x-4, [1,0,x,0,x+2]];
1419
1420bsd[352,8] = 1 ;
1421deg[352,8] = 1 ;
1422dsc[352,8] = 17 ;
1423E  [352,8] = [x^2-x-4, [1,0,x,0,-x+2]];
1424
1425
1426bsd[353,1] = 1 ;
1427deg[353,1] = 3 ;
1428dsc[353,1] = 1 ;
1429E  [353,1] = [x, [1,-1,2,-1,2]];
1430
1431bsd[353,2] = 1 ;
1432deg[353,2] = 127 ;
1433dsc[353,2] = 229 ;
1434E  [353,2] = [x^3-x^2-6*x+4, [2,2*x,-x^2+x+6,2*x^2-4,-2*x+2]];
1435
1436bsd[353,3] = 0 ;
1437deg[353,3] = 1 ;
1438dsc[353,3] = 114641*7779730837 ;
1439E  [353,3] = [x^11+5*x^10-x^9-36*x^8-28*x^7+82*x^6+87*x^5-65*x^4-71*x^3+21*x^2+14*x-4, [2,2*x,-5*x^10-21*x^9+19*x^8+154*x^7+30*x^6-354*x^5-153*x^4+259*x^3+99*x^2-39*x-6,2*x^2-4,6*x^10+28*x^9-12*x^8-198*x^7-116*x^6+426*x^5+372*x^4-264*x^3-268*x^2+16*x+34]];
1440
1441bsd[353,4] = 1/11 ;
1442deg[353,4] = 3*127 ;
1443dsc[353,4] = 2^4*5*551801*12611821*24314514437 ;
1444E  [353,4] = [x^14-4*x^13-14*x^12+71*x^11+47*x^10-452*x^9+101*x^8+1251*x^7-740*x^6-1488*x^5+1096*x^4+600*x^3-410*x^2-42*x-1, [8,8*x,x^13-7*x^12-9*x^11+130*x^10-55*x^9-855*x^8+810*x^7+2405*x^6-2763*x^5-2871*x^4+3453*x^3+1145*x^2-1245*x-75,8*x^2-16,14*x^13-50*x^12-206*x^11+884*x^10+830*x^9-5586*x^8+356*x^7+15238*x^6-7554*x^5-17602*x^4+12230*x^3+6526*x^2-4694*x-242]];
1445
1446
1447bsd[354,1] = 0 ;
1448deg[354,1] = 3*5 ;
1449dsc[354,1] = 1 ;
1450E  [354,1] = [x, [1,-1,-1,1,0]];
1451
1452bsd[354,2] = 1 ;
1453deg[354,2] = 3 ;
1454dsc[354,2] = 1 ;
1455E  [354,2] = [x, [1,-1,-1,1,2]];
1456
1457bsd[354,3] = 1/3 ;
1458deg[354,3] = 5 ;
1459dsc[354,3] = 1 ;
1460E  [354,3] = [x, [1,-1,1,1,0]];
1461
1462bsd[354,4] = 0 ;
1463deg[354,4] = 7 ;
1464dsc[354,4] = 1 ;
1465E  [354,4] = [x, [1,1,-1,1,-4]];
1466
1467bsd[354,5] = 1 ;
1468deg[354,5] = 1 ;
1469dsc[354,5] = 1 ;
1470E  [354,5] = [x, [1,1,-1,1,0]];
1471
1472bsd[354,6] = 11 ;
1473deg[354,6] = 3^2*11 ;
1474dsc[354,6] = 1 ;
1475E  [354,6] = [x, [1,1,-1,1,4]];
1476
1477bsd[354,7] = 5 ;
1478deg[354,7] = 5^2*11 ;
1479dsc[354,7] = 2^2*11 ;
1480E  [354,7] = [x^2-2*x-10, [1,-1,1,1,x]];
1481
1482bsd[354,8] = 19 ;
1483deg[354,8] = 19*29 ;
1484dsc[354,8] = 2^2*79 ;
1485E  [354,8] = [x^3-2*x^2-6*x+8, [2,2,2,2,2*x]];
1486
1487
1488bsd[355,1] = 1/3 ;
1489deg[355,1] = 1 ;
1490dsc[355,1] = 1 ;
1491E  [355,1] = [x, [1,0,-2,-2,1]];
1492
1493bsd[355,2] = 0 ;
1494deg[355,2] = 7*61 ;
1495dsc[355,2] = 19*103 ;
1496E  [355,2] = [x^4+4*x^3+2*x^2-5*x-3, [1,x,-x^3-3*x^2+2,x^2-2,1]];
1497
1498bsd[355,3] = 0 ;
1499deg[355,3] = 1 ;
1500dsc[355,3] = 5^2*29 ;
1501E  [355,3] = [x^4+2*x^3-2*x^2-3*x+1, [1,x,-x^3-x^2+2*x,x^2-2,-1]];
1502
1503bsd[355,4] = 1 ;
1504deg[355,4] = 1 ;
1505dsc[355,4] = 62581037 ;
1506E  [355,4] = [x^6-3*x^5-6*x^4+21*x^3+4*x^2-35*x+16, [1,x,-x^3+x^2+4*x-2,x^2-2,1]];
1507
1508bsd[355,5] = 1 ;
1509deg[355,5] = 103*359 ;
1510dsc[355,5] = 2^7*933591331 ;
1511E  [355,5] = [x^8-4*x^7-5*x^6+31*x^5-3*x^4-57*x^3+5*x^2+32*x+8, [2,2*x,2*x^7-6*x^6-12*x^5+42*x^4+6*x^3-56*x^2+4*x+12,2*x^2-4,-2]];
1512
1513
1514bsd[356,1] = 0 ;
1515deg[356,1] = 3 ;
1516dsc[356,1] = 1 ;
1517E  [356,1] = [x, [1,0,-1,0,-1]];
1518
1519bsd[356,2] = 3 ;
1520deg[356,2] = 3^6 ;
1521dsc[356,2] = 2^7*3*4079*31547 ;
1522E  [356,2] = [x^7-x^6-18*x^5+18*x^4+93*x^3-95*x^2-126*x+134, [73,0,73*x,0,-46*x^6-6*x^5+799*x^4+126*x^3-3888*x^2-552*x+4734]];
1523
1524
1525bsd[357,1] = 0 ;
1526deg[357,1] = 7 ;
1527dsc[357,1] = 1 ;
1528E  [357,1] = [x, [1,-2,1,2,-3]];
1529
1530bsd[357,2] = 1 ;
1531deg[357,2] = 17 ;
1532dsc[357,2] = 1 ;
1533E  [357,2] = [x, [1,0,-1,-2,1]];
1534
1535bsd[357,3] = 0 ;
1536deg[357,3] = 1 ;
1537dsc[357,3] = 1 ;
1538E  [357,3] = [x, [1,0,-1,-2,1]];
1539
1540bsd[357,4] = 1 ;
1541deg[357,4] = 3 ;
1542dsc[357,4] = 1 ;
1543E  [357,4] = [x, [1,2,1,2,1]];
1544
1545bsd[357,5] = 0 ;
1546deg[357,5] = 3*47 ;
1547dsc[357,5] = 2^2*3 ;
1548E  [357,5] = [x^2+2*x-2, [1,x,1,-2*x,-x-3]];
1549
1550bsd[357,6] = 0 ;
1551deg[357,6] = 1 ;
1552dsc[357,6] = 2^3 ;
1553E  [357,6] = [x^2-2, [1,x,-1,0,-x-1]];
1554
1555bsd[357,7] = 1 ;
1556deg[357,7] = 1 ;
1557dsc[357,7] = 2^2*79 ;
1558E  [357,7] = [x^3-x^2-4*x+2, [1,x,1,x^2-2,-x+1]];
1559
1560bsd[357,8] = 1 ;
1561deg[357,8] = 223 ;
1562dsc[357,8] = 2^8*113 ;
1563E  [357,8] = [x^4-2*x^3-5*x^2+8*x+2, [1,x,-1,x^2-2,-x^3+x^2+5*x-3]];
1564
1565
1566bsd[358,1] = 1 ;
1567deg[358,1] = 3*17 ;
1568dsc[358,1] = 1 ;
1569E  [358,1] = [x, [1,-1,2,1,0]];
1570
1571bsd[358,2] = 1/3 ;
1572deg[358,2] = 11 ;
1573dsc[358,2] = 1 ;
1574E  [358,2] = [x, [1,1,-2,1,0]];
1575
1576bsd[358,3] = 1 ;
1577deg[358,3] = 3*5*17 ;
1578dsc[358,3] = 3*7 ;
1579E  [358,3] = [x^2-x-5, [1,-1,x,1,3]];
1580
1581bsd[358,4] = 0 ;
1582deg[358,4] = 79 ;
1583dsc[358,4] = 5 ;
1584E  [358,4] = [x^2+3*x+1, [1,1,x,1,-2*x-5]];
1585
1586bsd[358,5] = 29 ;
1587deg[358,5] = 11^2*29 ;
1588dsc[358,5] = 5 ;
1589E  [358,5] = [x^2-x-11, [3,3,-x+5,3,3*x]];
1590
1591bsd[358,6] = 1/5 ;
1592deg[358,6] = 11 ;
1593dsc[358,6] = 5 ;
1594E  [358,6] = [x^2-3*x+1, [1,1,x,1,1]];
1595
1596bsd[358,7] = 0 ;
1597deg[358,7] = 13 ;
1598dsc[358,7] = 17^3 ;
1599E  [358,7] = [x^4+2*x^3-7*x^2-8*x-1, [2,-2,2*x,2,x^3+x^2-9*x-6]];
1600
1601
1602bsd[359,1] = 0 ;
1603deg[359,1] = 1 ;
1604dsc[359,1] = 1 ;
1605E  [359,1] = [x, [1,-1,0,-1,1]];
1606
1607bsd[359,2] = 0 ;
1608deg[359,2] = 1 ;
1609dsc[359,2] = 1 ;
1610E  [359,2] = [x, [1,1,-2,-1,1]];
1611
1612bsd[359,3] = 0 ;
1613deg[359,3] = 1 ;
1614dsc[359,3] = 2777 ;
1615E  [359,3] = [x^4+2*x^3-3*x^2-5*x+1, [1,x,-x^3-x^2+3*x+1,x^2-2,-x-2]];
1616
1617bsd[359,4] = 1/179 ;
1618deg[359,4] = 1 ;
1619dsc[359,4] = 2^4*3^4*16512254293*64542630435970307*2171776478013633068927 ;
1620E  [359,4] = [x^24-x^23-39*x^22+38*x^21+658*x^20-619*x^19-6300*x^18+5654*x^17+37740*x^16-31780*x^15-147096*x^14+113400*x^13+376092*x^12-255412*x^11-621508*x^10+349080*x^9+638532*x^8-266744*x^7-378124*x^6+98609*x^5+110695*x^4-14509*x^3-11972*x^2+780*x+381, [235747603462801695253721,235747603462801695253721*x,-1602259971281292311414*x^23+2535070199865138113860*x^22+58364780315011524436024*x^21-87316532202790041766744*x^20-914060976817924221583118*x^19+1264665868878600575782134*x^18+8088919438943353164191194*x^17-10018516587867869759577110*x^16-44752146629281025763159134*x^15+47225317260747136454940921*x^14+161849990574404999407680046*x^13-134535096935674829898945662*x^12-388545929698346391432449898*x^11+222408874791265956416071774*x^10+613906725607214891686644074*x^9-183651607254654342889069074*x^8-613267952857175869139934302*x^7+28535102178044191495017546*x^6+351940465805991912886831381*x^5+51026380098522174374104544*x^4-93412339482037596682677712*x^3-21883690704068331298381066*x^2+6227221811979044886354542*x+1026953395498779305597052,235747603462801695253721*x^2-471495206925603390507442,2845845013662546464739*x^23-2447792018482001570617*x^22-101596799773264261973636*x^21+76404212950225242413899*x^20+1547314517788223949714671*x^19-958236983994120443104695*x^18-13158464440448911424043463*x^17+6045500883849570828566849*x^16+68676383557081059207753001*x^15-18699558052070012014843887*x^14-227537807635293992915686339*x^13+14267359498739287105320709*x^12+477170573176822561669772612*x^11+73651738052628121096722953*x^10-607737947281787201499665289*x^9-210728066092986939219944726*x^8+422157970536179111909121713*x^7+191589646943914323560838765*x^6-123363657169095027209115171*x^5-38101634714152134188816408*x^4+10517562601958539988713856*x^3-10255503074075539732514609*x^2-1342706028625085600442226*x+969740879854942598224584]];
1621
1622
1623bsd[360,1] = 0 ;
1624deg[360,1] = 1 ;
1625dsc[360,1] = 1 ;
1626E  [360,1] = [x, [1,0,0,0,-1]];
1627
1628bsd[360,2] = 1 ;
1629deg[360,2] = 1 ;
1630dsc[360,2] = 1 ;
1631E  [360,2] = [x, [1,0,0,0,-1]];
1632
1633bsd[360,3] = 1 ;
1634deg[360,3] = 1 ;
1635dsc[360,3] = 1 ;
1636E  [360,3] = [x, [1,0,0,0,-1]];
1637
1638bsd[360,4] = 1 ;
1639deg[360,4] = 3 ;
1640dsc[360,4] = 1 ;
1641E  [360,4] = [x, [1,0,0,0,1]];
1642
1643bsd[360,5] = 1 ;
1644deg[360,5] = 1 ;
1645dsc[360,5] = 1 ;
1646E  [360,5] = [x, [1,0,0,0,1]];
1647
1648
1649bsd[361,1] = 0 ;
1650deg[361,1] = 5 ;
1651dsc[361,1] = 1 ;
1652E  [361,1] = [x, [1,0,0,-2,-1]];
1653
1654bsd[361,2] = 1 ;
1655deg[361,2] = 3*5 ;
1656dsc[361,2] = 1 ;
1657E  [361,2] = [x, [1,0,2,-2,3]];
1658
1659bsd[361,3] = 1 ;
1660deg[361,3] = 11*19 ;
1661dsc[361,3] = 5 ;
1662E  [361,3] = [x^2+x-1, [1,x,-x-2,-x-1,-2*x]];
1663
1664bsd[361,4] = 1 ;
1665deg[361,4] = 5*11*19 ;
1666dsc[361,4] = 5 ;
1667E  [361,4] = [x^2-x-1, [1,2*x-1,-2,3,x]];
1668
1669bsd[361,5] = 1 ;
1670deg[361,5] = 5*11 ;
1671dsc[361,5] = 5 ;
1672E  [361,5] = [x^2-x-1, [1,-2*x+1,2,3,x]];
1673
1674bsd[361,6] = 1/5 ;
1675deg[361,6] = 11 ;
1676dsc[361,6] = 5 ;
1677E  [361,6] = [x^2-x-1, [1,x,-x+2,x-1,2*x]];
1678
1679bsd[361,7] = 0 ;
1680deg[361,7] = 3*19 ;
1681dsc[361,7] = 3^4 ;
1682E  [361,7] = [x^3+3*x^2-3, [1,x,x^2+2*x-2,x^2-2,-x^2-2*x]];
1683
1684bsd[361,8] = 1 ;
1685deg[361,8] = 3*19^2 ;
1686dsc[361,8] = 3^4 ;
1687E  [361,8] = [x^3-3*x^2+3, [1,x,-x^2+2*x+2,x^2-2,-x^2+2*x]];
1688
1689bsd[361,9] = 0 ;
1690deg[361,9] = 5*19 ;
1691dsc[361,9] = 2^4*5^3 ;
1692E  [361,9] = [x^4-5*x^2+5, [1,x,-x,x^2-2,-2*x^2+4]];
1693
1694
1695bsd[362,1] = 0 ;
1696deg[362,1] = 5 ;
1697dsc[362,1] = 1 ;
1698E  [362,1] = [x, [1,-1,-1,1,2]];
1699
1700bsd[362,2] = 0 ;
1701deg[362,2] = 7 ;
1702dsc[362,2] = 1 ;
1703E  [362,2] = [x, [1,1,-1,1,-2]];
1704
1705bsd[362,3] = 0 ;
1706deg[362,3] = 5*29 ;
1707dsc[362,3] = 5 ;
1708E  [362,3] = [x^2+2*x-4, [2,-2,2*x,2,-x-2]];
1709
1710bsd[362,4] = 23/7 ;
1711deg[362,4] = 17*23 ;
1712dsc[362,4] = 2^3 ;
1713E  [362,4] = [x^2-2*x-1, [1,1,x,1,-x+3]];
1714
1715bsd[362,5] = 1/3 ;
1716deg[362,5] = 3*797 ;
1717dsc[362,5] = 2^3*17*6359 ;
1718E  [362,5] = [x^5-4*x^4-2*x^3+17*x^2-x-17, [1,-1,x,1,x^4-3*x^3-3*x^2+8*x+3]];
1719
1720bsd[362,6] = 17/13 ;
1721deg[362,6] = 17^2 ;
1722dsc[362,6] = 5*1134769 ;
1723E  [362,6] = [x^5-13*x^3+3*x^2+38*x-28, [2,2,2*x,2,-x^4+9*x^2+x-10]];
1724
1725
1726bsd[363,1] = 1 ;
1727deg[363,1] = 3^2*11 ;
1728dsc[363,1] = 1 ;
1729E  [363,1] = [x, [1,-2,-1,2,4]];
1730
1731bsd[363,2] = 1 ;
1732deg[363,2] = 3^2*5 ;
1733dsc[363,2] = 1 ;
1734E  [363,2] = [x, [1,-1,-1,-1,-2]];
1735
1736bsd[363,3] = 1 ;
1737deg[363,3] = 3^2 ;
1738dsc[363,3] = 1 ;
1739E  [363,3] = [x, [1,2,-1,2,4]];
1740
1741bsd[363,4] = 0 ;
1742deg[363,4] = 5*11 ;
1743dsc[363,4] = 5 ;
1744E  [363,4] = [x^2+3*x+1, [1,x,-1,-3*x-3,x+2]];
1745
1746bsd[363,5] = 0 ;
1747deg[363,5] = 5 ;
1748dsc[363,5] = 5 ;
1749E  [363,5] = [x^2+x-1, [1,x,1,-x-1,-x-2]];
1750
1751bsd[363,6] = 0 ;
1752deg[363,6] = 3*11 ;
1753dsc[363,6] = 2^2*3 ;
1754E  [363,6] = [x^2-3, [1,x,-1,1,-3]];
1755
1756bsd[363,7] = 5 ;
1757deg[363,7] = 3^2*5*11 ;
1758dsc[363,7] = 2^2*5 ;
1759E  [363,7] = [x^2-5, [1,x,1,3,2]];
1760
1761bsd[363,8] = 1 ;
1762deg[363,8] = 5*11^2 ;
1763dsc[363,8] = 5 ;
1764E  [363,8] = [x^2-x-1, [1,x,1,x-1,x-2]];
1765
1766bsd[363,9] = 1 ;
1767deg[363,9] = 5*11 ;
1768dsc[363,9] = 5 ;
1769E  [363,9] = [x^2-3*x+1, [1,x,-1,3*x-3,-x+2]];
1770
1771bsd[363,10] = 1/11 ;
1772deg[363,10] = 3^2*11 ;
1773dsc[363,10] = 2^4*3^2*11^2 ;
1774E  [363,10] = [x^4-7*x^2+4, [2,2*x,2,2*x^2-4,-2*x^2+8]];
1775
1776
1777bsd[364,1] = 0 ;
1778deg[364,1] = 3 ;
1779dsc[364,1] = 1 ;
1780E  [364,1] = [x, [1,0,-2,0,1]];
1781
1782bsd[364,2] = 0 ;
1783deg