Sharedwww / tables / bsd_p5_301-600.gpOpen in CoCalc
Author: William A. Stein
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\\ bsd_p5_301-600.gp
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\\ ---------------------------------------------------------------
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\\ N,i = i-th newform at level N (forms ordered by trace).
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\\ bsd[N,i] = odd_part(L(A_f,1)/Omega*(manin constant))
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\\ deg[N,i] = odd_part(modular degree)
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\\ dsc[N,i] = disc(O_f)
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\\ E [N,i] = [g(x), denom*[a_1(x), a_2(x), ..., a_5(x)]]
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\\ 301 <= N <= 600
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\\
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\\ Thu Mar 4 06:26:04 1999
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\\ William Stein ([email protected])
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\\ ---------------------------------------------------------------
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bsd[301,1] = 0 ;
16
deg[301,1] = 7 ;
17
dsc[301,1] = 19*103 ;
18
E [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]];
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bsd[301,2] = 0 ;
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deg[301,2] = 1 ;
22
dsc[301,2] = 81509 ;
23
E [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]];
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25
bsd[301,3] = 1 ;
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deg[301,3] = 17 ;
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dsc[301,3] = 31*9739 ;
28
E [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]];
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30
bsd[301,4] = 1/11 ;
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deg[301,4] = 1 ;
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dsc[301,4] = 2^2*37*32366197 ;
33
E [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
36
bsd[302,1] = 1 ;
37
deg[302,1] = 3^3 ;
38
dsc[302,1] = 1 ;
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E [302,1] = [x, [1,-1,2,1,2]];
40
41
bsd[302,2] = 0 ;
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deg[302,2] = 5 ;
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dsc[302,2] = 1 ;
44
E [302,2] = [x, [1,1,-3,1,0]];
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46
bsd[302,3] = 0 ;
47
deg[302,3] = 3*5 ;
48
dsc[302,3] = 1 ;
49
E [302,3] = [x, [1,1,-1,1,-4]];
50
51
bsd[302,4] = 0 ;
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deg[302,4] = 7 ;
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dsc[302,4] = 2^3 ;
54
E [302,4] = [x^2+2*x-1, [1,-1,x,1,0]];
55
56
bsd[302,5] = 1/3 ;
57
deg[302,5] = 3^3*431 ;
58
dsc[302,5] = 2^4*1613 ;
59
E [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
61
bsd[302,6] = 41/19 ;
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deg[302,6] = 41 ;
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dsc[302,6] = 2^4*389 ;
64
E [302,6] = [x^4-2*x^3-4*x^2+8*x-1, [1,1,x,1,-x^2+3]];
65
66
67
bsd[303,1] = 0 ;
68
deg[303,1] = 1 ;
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dsc[303,1] = 1 ;
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E [303,1] = [x, [1,-2,1,2,-1]];
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72
bsd[303,2] = 0 ;
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deg[303,2] = 7 ;
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dsc[303,2] = 1 ;
75
E [303,2] = [x, [1,0,1,-2,-3]];
76
77
bsd[303,3] = 0 ;
78
deg[303,3] = 1 ;
79
dsc[303,3] = 2^3 ;
80
E [303,3] = [x^2-2, [1,x,-1,0,-x-1]];
81
82
bsd[303,4] = 3/17 ;
83
deg[303,4] = 3 ;
84
dsc[303,4] = 2^2*3083683 ;
85
E [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
87
bsd[303,5] = 1 ;
88
deg[303,5] = 1103 ;
89
dsc[303,5] = 2^4*89*3678833 ;
90
E [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
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bsd[304,1] = 0 ;
94
deg[304,1] = 3 ;
95
dsc[304,1] = 1 ;
96
E [304,1] = [x, [1,0,-2,0,-1]];
97
98
bsd[304,2] = 0 ;
99
deg[304,2] = 1 ;
100
dsc[304,2] = 1 ;
101
E [304,2] = [x, [1,0,-1,0,0]];
102
103
bsd[304,3] = 1 ;
104
deg[304,3] = 3 ;
105
dsc[304,3] = 1 ;
106
E [304,3] = [x, [1,0,-1,0,0]];
107
108
bsd[304,4] = 0 ;
109
deg[304,4] = 3 ;
110
dsc[304,4] = 1 ;
111
E [304,4] = [x, [1,0,1,0,-4]];
112
113
bsd[304,5] = 1 ;
114
deg[304,5] = 1 ;
115
dsc[304,5] = 1 ;
116
E [304,5] = [x, [1,0,2,0,-1]];
117
118
bsd[304,6] = 1 ;
119
deg[304,6] = 3 ;
120
dsc[304,6] = 1 ;
121
E [304,6] = [x, [1,0,2,0,3]];
122
123
bsd[304,7] = 1 ;
124
deg[304,7] = 1 ;
125
dsc[304,7] = 31^2 ;
126
E [304,7] = [x^3+x^2-10*x-8, [2,0,2*x,0,-x^2+x+8]];
127
128
129
bsd[305,1] = 0 ;
130
deg[305,1] = 3 ;
131
dsc[305,1] = 3^4 ;
132
E [305,1] = [x^3-3*x+1, [1,x,-x,x^2-2,-1]];
133
134
bsd[305,2] = 0 ;
135
deg[305,2] = 37 ;
136
dsc[305,2] = 2777 ;
137
E [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
139
bsd[305,3] = 1/3 ;
140
deg[305,3] = 139 ;
141
dsc[305,3] = 2^8*82219057 ;
142
E [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
144
bsd[305,4] = 3^2/31 ;
145
deg[305,4] = 3^2 ;
146
dsc[305,4] = 2^10*31*43*977 ;
147
E [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
150
bsd[306,1] = 0 ;
151
deg[306,1] = 3 ;
152
dsc[306,1] = 1 ;
153
E [306,1] = [x, [1,-1,0,1,0]];
154
155
bsd[306,2] = 1 ;
156
deg[306,2] = 1 ;
157
dsc[306,2] = 1 ;
158
E [306,2] = [x, [1,-1,0,1,2]];
159
160
bsd[306,3] = 3 ;
161
deg[306,3] = 3 ;
162
dsc[306,3] = 1 ;
163
E [306,3] = [x, [1,1,0,1,0]];
164
165
bsd[306,4] = 1 ;
166
deg[306,4] = 1 ;
167
dsc[306,4] = 1 ;
168
E [306,4] = [x, [1,1,0,1,4]];
169
170
bsd[306,5] = 1/3 ;
171
deg[306,5] = 5 ;
172
dsc[306,5] = 2^3*3 ;
173
E [306,5] = [x^2-6, [1,-1,0,1,x]];
174
175
bsd[306,6] = 5/3 ;
176
deg[306,6] = 3*5 ;
177
dsc[306,6] = 2^3*3 ;
178
E [306,6] = [x^2-6, [1,1,0,1,x]];
179
180
181
bsd[307,1] = 1 ;
182
deg[307,1] = 13 ;
183
dsc[307,1] = 1 ;
184
E [307,1] = [x, [1,0,0,-2,4]];
185
186
bsd[307,2] = 1 ;
187
deg[307,2] = 5 ;
188
dsc[307,2] = 1 ;
189
E [307,2] = [x, [1,1,2,-1,0]];
190
191
bsd[307,3] = 1 ;
192
deg[307,3] = 11 ;
193
dsc[307,3] = 1 ;
194
E [307,3] = [x, [1,2,0,2,2]];
195
196
bsd[307,4] = 1 ;
197
deg[307,4] = 3*5 ;
198
dsc[307,4] = 1 ;
199
E [307,4] = [x, [1,2,2,2,0]];
200
201
bsd[307,5] = 1/3 ;
202
deg[307,5] = 3*107 ;
203
dsc[307,5] = 13 ;
204
E [307,5] = [x^2+x-3, [1,x,-x-2,-x+1,3]];
205
206
bsd[307,6] = 1/17 ;
207
deg[307,6] = 5^2*11*13*107 ;
208
dsc[307,6] = 5*457*3697*974513 ;
209
E [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
211
bsd[307,7] = 0 ;
212
deg[307,7] = 1 ;
213
dsc[307,7] = 21577*568380457 ;
214
E [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
217
bsd[308,1] = 0 ;
218
deg[308,1] = 3 ;
219
dsc[308,1] = 1 ;
220
E [308,1] = [x, [1,0,-1,0,-1]];
221
222
bsd[308,2] = 3 ;
223
deg[308,2] = 3^2*5 ;
224
dsc[308,2] = 2^3*3 ;
225
E [308,2] = [x^2-6, [1,0,x,0,2]];
226
227
bsd[308,3] = 1 ;
228
deg[308,3] = 3^3 ;
229
dsc[308,3] = 2^3*127 ;
230
E [308,3] = [x^3+x^2-6*x-2, [1,0,x,0,-x^2+4]];
231
232
233
bsd[309,1] = 0 ;
234
deg[309,1] = 5 ;
235
dsc[309,1] = 1 ;
236
E [309,1] = [x, [1,-1,1,-1,-1]];
237
238
bsd[309,2] = 1 ;
239
deg[309,2] = 89 ;
240
dsc[309,2] = 2^2*37 ;
241
E [309,2] = [x^3-x^2-3*x+1, [1,x,-1,x^2-2,x]];
242
243
bsd[309,3] = 0 ;
244
deg[309,3] = 3^2 ;
245
dsc[309,3] = 81509 ;
246
E [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
248
bsd[309,4] = 5^2/13 ;
249
deg[309,4] = 5^2 ;
250
dsc[309,4] = 2^2*5*109363884517 ;
251
E [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
254
bsd[310,1] = 0 ;
255
deg[310,1] = 3 ;
256
dsc[310,1] = 1 ;
257
E [310,1] = [x, [1,1,-2,1,-1]];
258
259
bsd[310,2] = 3 ;
260
deg[310,2] = 3 ;
261
dsc[310,2] = 1 ;
262
E [310,2] = [x, [1,1,2,1,-1]];
263
264
bsd[310,3] = 0 ;
265
deg[310,3] = 3 ;
266
dsc[310,3] = 2^2*3 ;
267
E [310,3] = [x^2+2*x-2, [1,-1,x,1,-1]];
268
269
bsd[310,4] = 1 ;
270
deg[310,4] = 23 ;
271
dsc[310,4] = 2^3*3 ;
272
E [310,4] = [x^2-6, [1,-1,x,1,1]];
273
274
bsd[310,5] = 5 ;
275
deg[310,5] = 5^2 ;
276
dsc[310,5] = 2^4*37 ;
277
E [310,5] = [x^3-2*x^2-4*x+4, [1,1,x,1,1]];
278
279
280
bsd[311,1] = 0 ;
281
deg[311,1] = 1 ;
282
dsc[311,1] = 5^2*29 ;
283
E [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
285
bsd[311,2] = 1/5*31 ;
286
deg[311,2] = 1 ;
287
dsc[311,2] = 3013091897*2106873009119126062143259000543887593 ;
288
E [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
291
bsd[312,1] = 1 ;
292
deg[312,1] = 1 ;
293
dsc[312,1] = 1 ;
294
E [312,1] = [x, [1,0,-1,0,-2]];
295
296
bsd[312,2] = 0 ;
297
deg[312,2] = 1 ;
298
dsc[312,2] = 1 ;
299
E [312,2] = [x, [1,0,-1,0,0]];
300
301
bsd[312,3] = 1 ;
302
deg[312,3] = 3*5 ;
303
dsc[312,3] = 1 ;
304
E [312,3] = [x, [1,0,-1,0,4]];
305
306
bsd[312,4] = 0 ;
307
deg[312,4] = 3 ;
308
dsc[312,4] = 1 ;
309
E [312,4] = [x, [1,0,1,0,-4]];
310
311
bsd[312,5] = 1 ;
312
deg[312,5] = 1 ;
313
dsc[312,5] = 1 ;
314
E [312,5] = [x, [1,0,1,0,0]];
315
316
bsd[312,6] = 1 ;
317
deg[312,6] = 1 ;
318
dsc[312,6] = 1 ;
319
E [312,6] = [x, [1,0,1,0,2]];
320
321
322
bsd[313,1] = 1 ;
323
deg[313,1] = 41 ;
324
dsc[313,1] = 5 ;
325
E [313,1] = [x^2-x-1, [1,x,-x+2,x-1,x+1]];
326
327
bsd[313,2] = 0 ;
328
deg[313,2] = 1 ;
329
dsc[313,2] = 9614923*130838023 ;
330
E [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
332
bsd[313,3] = 1/13 ;
333
deg[313,3] = 41 ;
334
dsc[313,3] = 2^2*8619587*2164322751511 ;
335
E [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
338
bsd[314,1] = 0 ;
339
deg[314,1] = 5 ;
340
dsc[314,1] = 1 ;
341
E [314,1] = [x, [1,-1,0,1,0]];
342
343
bsd[314,2] = 1/3 ;
344
deg[314,2] = 19*113 ;
345
dsc[314,2] = 3*53*337*907 ;
346
E [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
348
bsd[314,3] = 709/79 ;
349
deg[314,3] = 709 ;
350
dsc[314,3] = 47*176130259 ;
351
E [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
354
bsd[315,1] = 0 ;
355
deg[315,1] = 1 ;
356
dsc[315,1] = 1 ;
357
E [315,1] = [x, [1,-1,0,-1,-1]];
358
359
bsd[315,2] = 1 ;
360
deg[315,2] = 5 ;
361
dsc[315,2] = 1 ;
362
E [315,2] = [x, [1,0,0,-2,1]];
363
364
bsd[315,3] = 0 ;
365
deg[315,3] = 1 ;
366
dsc[315,3] = 2^3 ;
367
E [315,3] = [x^2+2*x-1, [1,x,0,-2*x-1,-1]];
368
369
bsd[315,4] = 1 ;
370
deg[315,4] = 5 ;
371
dsc[315,4] = 2^2*5 ;
372
E [315,4] = [x^2-5, [1,x,0,3,1]];
373
374
bsd[315,5] = 1 ;
375
deg[315,5] = 1 ;
376
dsc[315,5] = 17 ;
377
E [315,5] = [x^2-x-4, [1,x,0,x+2,-1]];
378
379
bsd[315,6] = 1 ;
380
deg[315,6] = 3^2 ;
381
dsc[315,6] = 2^3 ;
382
E [315,6] = [x^2-2*x-1, [1,x,0,2*x-1,1]];
383
384
385
bsd[316,1] = 0 ;
386
deg[316,1] = 3^2 ;
387
dsc[316,1] = 1 ;
388
E [316,1] = [x, [1,0,-3,0,1]];
389
390
bsd[316,2] = 1 ;
391
deg[316,2] = 3^2 ;
392
dsc[316,2] = 1 ;
393
E [316,2] = [x, [1,0,-1,0,1]];
394
395
bsd[316,3] = 0 ;
396
deg[316,3] = 3^3 ;
397
dsc[316,3] = 13 ;
398
E [316,3] = [x^2+5*x+3, [1,0,0,0,x]];
399
400
bsd[316,4] = 3 ;
401
deg[316,4] = 3^3 ;
402
dsc[316,4] = 13 ;
403
E [316,4] = [x^2-3*x-1, [1,0,2,0,x]];
404
405
406
bsd[317,1] = 0 ;
407
deg[317,1] = 1 ;
408
dsc[317,1] = 367*3217*660603043 ;
409
E [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
411
bsd[317,2] = 1/79 ;
412
deg[317,2] = 1 ;
413
dsc[317,2] = 2^4*7*14989400036918065702697531 ;
414
E [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
417
bsd[318,1] = 0 ;
418
deg[318,1] = 3 ;
419
dsc[318,1] = 1 ;
420
E [318,1] = [x, [1,-1,-1,1,-1]];
421
422
bsd[318,2] = 1 ;
423
deg[318,2] = 3*17 ;
424
dsc[318,2] = 1 ;
425
E [318,2] = [x, [1,-1,-1,1,4]];
426
427
bsd[318,3] = 1/3 ;
428
deg[318,3] = 3*5 ;
429
dsc[318,3] = 1 ;
430
E [318,3] = [x, [1,-1,1,1,0]];
431
432
bsd[318,4] = 0 ;
433
deg[318,4] = 11 ;
434
dsc[318,4] = 1 ;
435
E [318,4] = [x, [1,1,-1,1,-3]];
436
437
bsd[318,5] = 1 ;
438
deg[318,5] = 5 ;
439
dsc[318,5] = 1 ;
440
E [318,5] = [x, [1,1,-1,1,0]];
441
442
bsd[318,6] = 5 ;
443
deg[318,6] = 5^2*43 ;
444
dsc[318,6] = 41 ;
445
E [318,6] = [x^2-x-10, [1,-1,1,1,x]];
446
447
bsd[318,7] = 1 ;
448
deg[318,7] = 13 ;
449
dsc[318,7] = 17 ;
450
E [318,7] = [x^2-x-4, [1,1,1,1,x]];
451
452
453
bsd[319,1] = 1 ;
454
deg[319,1] = 23 ;
455
dsc[319,1] = 1 ;
456
E [319,1] = [x, [1,2,-3,2,1]];
457
458
bsd[319,2] = 0 ;
459
deg[319,2] = 3*17 ;
460
dsc[319,2] = 3^4 ;
461
E [319,2] = [x^3-3*x-1, [1,x,-x,x^2-2,-2*x^2+x+2]];
462
463
bsd[319,3] = 0 ;
464
deg[319,3] = 1 ;
465
dsc[319,3] = 2777 ;
466
E [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
468
bsd[319,4] = 1/5 ;
469
deg[319,4] = 3*5 ;
470
dsc[319,4] = 127*1063*6709 ;
471
E [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
473
bsd[319,5] = 1 ;
474
deg[319,5] = 23*167 ;
475
dsc[319,5] = 1433*2459*65551 ;
476
E [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
479
bsd[320,1] = 0 ;
480
deg[320,1] = 1 ;
481
dsc[320,1] = 1 ;
482
E [320,1] = [x, [1,0,-2,0,1]];
483
484
bsd[320,2] = 1 ;
485
deg[320,2] = 1 ;
486
dsc[320,2] = 1 ;
487
E [320,2] = [x, [1,0,-2,0,1]];
488
489
bsd[320,3] = 0 ;
490
deg[320,3] = 1 ;
491
dsc[320,3] = 1 ;
492
E [320,3] = [x, [1,0,0,0,-1]];
493
494
bsd[320,4] = 1 ;
495
deg[320,4] = 1 ;
496
dsc[320,4] = 1 ;
497
E [320,4] = [x, [1,0,0,0,-1]];
498
499
bsd[320,5] = 1 ;
500
deg[320,5] = 1 ;
501
dsc[320,5] = 1 ;
502
E [320,5] = [x, [1,0,2,0,1]];
503
504
bsd[320,6] = 1 ;
505
deg[320,6] = 1 ;
506
dsc[320,6] = 1 ;
507
E [320,6] = [x, [1,0,2,0,1]];
508
509
bsd[320,7] = 1 ;
510
deg[320,7] = 1 ;
511
dsc[320,7] = 2^5 ;
512
E [320,7] = [x^2-8, [1,0,x,0,-1]];
513
514
515
bsd[321,1] = 0 ;
516
deg[321,1] = 5 ;
517
dsc[321,1] = 5 ;
518
E [321,1] = [x^2+x-1, [1,-x-1,-1,x,1]];
519
520
bsd[321,2] = 0 ;
521
deg[321,2] = 41 ;
522
dsc[321,2] = 5 ;
523
E [321,2] = [x^2+x-1, [1,-x-1,1,x,-3]];
524
525
bsd[321,3] = 29/3^2 ;
526
deg[321,3] = 29 ;
527
dsc[321,3] = 2^4*826957 ;
528
E [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
530
bsd[321,4] = 1 ;
531
deg[321,4] = 14051 ;
532
dsc[321,4] = 2^4*21803*24443 ;
533
E [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
536
bsd[322,1] = 0 ;
537
deg[322,1] = 3 ;
538
dsc[322,1] = 1 ;
539
E [322,1] = [x, [1,-1,0,1,-2]];
540
541
bsd[322,2] = 1 ;
542
deg[322,2] = 7 ;
543
dsc[322,2] = 1 ;
544
E [322,2] = [x, [1,-1,2,1,0]];
545
546
bsd[322,3] = 0 ;
547
deg[322,3] = 5 ;
548
dsc[322,3] = 1 ;
549
E [322,3] = [x, [1,1,-2,1,-2]];
550
551
bsd[322,4] = 1 ;
552
deg[322,4] = 3 ;
553
dsc[322,4] = 1 ;
554
E [322,4] = [x, [1,1,2,1,-2]];
555
556
bsd[322,5] = 0 ;
557
deg[322,5] = 5 ;
558
dsc[322,5] = 2^2*5 ;
559
E [322,5] = [x^2+2*x-4, [1,-1,x,1,-x-2]];
560
561
bsd[322,6] = 1 ;
562
deg[322,6] = 3*11 ;
563
dsc[322,6] = 2^2*3 ;
564
E [322,6] = [x^2+2*x-2, [1,1,x,1,x+2]];
565
566
bsd[322,7] = 11 ;
567
deg[322,7] = 11 ;
568
dsc[322,7] = 2^4*79 ;
569
E [322,7] = [x^3-2*x^2-6*x+8, [1,1,x,1,-x+2]];
570
571
572
bsd[323,1] = 1 ;
573
deg[323,1] = 5*7 ;
574
dsc[323,1] = 1 ;
575
E [323,1] = [x, [1,0,3,-2,-2]];
576
577
bsd[323,2] = 1 ;
578
deg[323,2] = 17 ;
579
dsc[323,2] = 17 ;
580
E [323,2] = [x^2+x-4, [1,x,x+1,-x+2,2]];
581
582
bsd[323,3] = 0 ;
583
deg[323,3] = 3*7 ;
584
dsc[323,3] = 19*103 ;
585
E [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
587
bsd[323,4] = 0 ;
588
deg[323,4] = 1 ;
589
dsc[323,4] = 73*1453 ;
590
E [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
592
bsd[323,5] = 1/3^2 ;
593
deg[323,5] = 3*7*17 ;
594
dsc[323,5] = 2^2*1627*17299 ;
595
E [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
597
bsd[323,6] = 1/5 ;
598
deg[323,6] = 1 ;
599
dsc[323,6] = 2^2*353*1697*3851 ;
600
E [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
603
bsd[324,1] = 0 ;
604
deg[324,1] = 3^2 ;
605
dsc[324,1] = 1 ;
606
E [324,1] = [x, [1,0,0,0,-3]];
607
608
bsd[324,2] = 1/3 ;
609
deg[324,2] = 3^2 ;
610
dsc[324,2] = 1 ;
611
E [324,2] = [x, [1,0,0,0,-3]];
612
613
bsd[324,3] = 1/3 ;
614
deg[324,3] = 3^2 ;
615
dsc[324,3] = 1 ;
616
E [324,3] = [x, [1,0,0,0,3]];
617
618
bsd[324,4] = 1 ;
619
deg[324,4] = 3^2 ;
620
dsc[324,4] = 1 ;
621
E [324,4] = [x, [1,0,0,0,3]];
622
623
624
bsd[325,1] = 1/5 ;
625
deg[325,1] = 3*7 ;
626
dsc[325,1] = 1 ;
627
E [325,1] = [x, [1,-2,-1,2,0]];
628
629
bsd[325,2] = 0 ;
630
deg[325,2] = 3 ;
631
dsc[325,2] = 1 ;
632
E [325,2] = [x, [1,0,-1,-2,0]];
633
634
bsd[325,3] = 0 ;
635
deg[325,3] = 3*5 ;
636
dsc[325,3] = 1 ;
637
E [325,3] = [x, [1,0,1,-2,0]];
638
639
bsd[325,4] = 1 ;
640
deg[325,4] = 3 ;
641
dsc[325,4] = 1 ;
642
E [325,4] = [x, [1,1,2,-1,0]];
643
644
bsd[325,5] = 3 ;
645
deg[325,5] = 3*7 ;
646
dsc[325,5] = 1 ;
647
E [325,5] = [x, [1,2,1,2,0]];
648
649
bsd[325,6] = 1 ;
650
deg[325,6] = 3^2*5^2*7 ;
651
dsc[325,6] = 2^3 ;
652
E [325,6] = [x^2+2*x-1, [1,x,-2*x-2,-2*x-1,0]];
653
654
bsd[325,7] = 0 ;
655
deg[325,7] = 3 ;
656
dsc[325,7] = 2^2*3 ;
657
E [325,7] = [x^2-3, [1,x,-x-1,1,0]];
658
659
bsd[325,8] = 1 ;
660
deg[325,8] = 3^2*7 ;
661
dsc[325,8] = 2^3 ;
662
E [325,8] = [x^2-8, [2,-x+2,2*x,-2*x+2,0]];
663
664
bsd[325,9] = 1 ;
665
deg[325,9] = 3^2 ;
666
dsc[325,9] = 2^3 ;
667
E [325,9] = [x^2-2, [1,x+1,x,2*x+1,0]];
668
669
bsd[325,10] = 0 ;
670
deg[325,10] = 5 ;
671
dsc[325,10] = 2^2*37 ;
672
E [325,10] = [x^3+3*x^2-x-5, [1,x,x^2+x-4,x^2-2,0]];
673
674
bsd[325,11] = 1 ;
675
deg[325,11] = 5^2 ;
676
dsc[325,11] = 2^2*37 ;
677
E [325,11] = [x^3-3*x^2-x+5, [1,x,-x^2+x+4,x^2-2,0]];
678
679
680
bsd[326,1] = 1/3 ;
681
deg[326,1] = 3*17 ;
682
dsc[326,1] = 1 ;
683
E [326,1] = [x, [1,-1,-2,1,-3]];
684
685
bsd[326,2] = 0 ;
686
deg[326,2] = 3^2 ;
687
dsc[326,2] = 1 ;
688
E [326,2] = [x, [1,-1,0,1,-1]];
689
690
bsd[326,3] = 0 ;
691
deg[326,3] = 5 ;
692
dsc[326,3] = 1 ;
693
E [326,3] = [x, [1,1,-2,1,-1]];
694
695
bsd[326,4] = 1 ;
696
deg[326,4] = 13*17*47 ;
697
dsc[326,4] = 482689 ;
698
E [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
700
bsd[326,5] = 3^3*61/41 ;
701
deg[326,5] = 3^3*61 ;
702
dsc[326,5] = 617*28921 ;
703
E [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
706
bsd[327,1] = 0 ;
707
deg[327,1] = 1 ;
708
dsc[327,1] = 1 ;
709
E [327,1] = [x, [1,-1,1,-1,-1]];
710
711
bsd[327,2] = 0 ;
712
deg[327,2] = 13 ;
713
dsc[327,2] = 2^2*37 ;
714
E [327,2] = [x^3+3*x^2-x-5, [1,x,-1,x^2-2,-1]];
715
716
bsd[327,3] = 1 ;
717
deg[327,3] = 107 ;
718
dsc[327,3] = 2^4*1023203 ;
719
E [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
721
bsd[327,4] = 139/5*11 ;
722
deg[327,4] = 139 ;
723
dsc[327,4] = 2^9*5*139*1033895651 ;
724
E [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
727
bsd[328,1] = 0 ;
728
deg[328,1] = 1 ;
729
dsc[328,1] = 1 ;
730
E [328,1] = [x, [1,0,0,0,-2]];
731
732
bsd[328,2] = 1 ;
733
deg[328,2] = 3 ;
734
dsc[328,2] = 1 ;
735
E [328,2] = [x, [1,0,2,0,2]];
736
737
bsd[328,3] = 1 ;
738
deg[328,3] = 1 ;
739
dsc[328,3] = 2^2*3 ;
740
E [328,3] = [x^2-2*x-2, [1,0,x,0,0]];
741
742
bsd[328,4] = 0 ;
743
deg[328,4] = 1 ;
744
dsc[328,4] = 2^2*37 ;
745
E [328,4] = [x^3+4*x^2+2*x-2, [1,0,x,0,-x^2-4*x-2]];
746
747
bsd[328,5] = 1 ;
748
deg[328,5] = 3 ;
749
dsc[328,5] = 2^2*197 ;
750
E [328,5] = [x^3+2*x^2-6*x-10, [1,0,x,0,-x^2+6]];
751
752
753
bsd[329,1] = 1 ;
754
deg[329,1] = 3^2*5 ;
755
dsc[329,1] = 1 ;
756
E [329,1] = [x, [1,-1,-1,-1,3]];
757
758
bsd[329,2] = 1 ;
759
deg[329,2] = 13 ;
760
dsc[329,2] = 17 ;
761
E [329,2] = [x^2-x-4, [1,-1,x,-1,x-2]];
762
763
bsd[329,3] = 0 ;
764
deg[329,3] = 83 ;
765
dsc[329,3] = 7^2 ;
766
E [329,3] = [x^3+4*x^2+3*x-1, [1,-x^2-3*x-1,x,x+1,x^2+x-2]];
767
768
bsd[329,4] = 0 ;
769
deg[329,4] = 1 ;
770
dsc[329,4] = 7^2 ;
771
E [329,4] = [x^3+2*x^2-x-1, [1,-x^2-x+1,x,-x-1,x^2+x-2]];
772
773
bsd[329,5] = 1 ;
774
deg[329,5] = 19*37 ;
775
dsc[329,5] = 2^2*37 ;
776
E [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
778
bsd[329,6] = 1 ;
779
deg[329,6] = 5*31*37 ;
780
dsc[329,6] = 2^4*5*51607 ;
781
E [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
783
bsd[329,7] = 1/3 ;
784
deg[329,7] = 13 ;
785
dsc[329,7] = 2^2*11*1447*1609 ;
786
E [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
789
bsd[330,1] = 1 ;
790
deg[330,1] = 5 ;
791
dsc[330,1] = 1 ;
792
E [330,1] = [x, [1,-1,-1,1,-1]];
793
794
bsd[330,2] = 0 ;
795
deg[330,2] = 1 ;
796
dsc[330,2] = 1 ;
797
E [330,2] = [x, [1,-1,-1,1,1]];
798
799
bsd[330,3] = 7 ;
800
deg[330,3] = 5*7 ;
801
dsc[330,3] = 1 ;
802
E [330,3] = [x, [1,1,-1,1,-1]];
803
804
bsd[330,4] = 1 ;
805
deg[330,4] = 3 ;
806
dsc[330,4] = 1 ;
807
E [330,4] = [x, [1,1,-1,1,1]];
808
809
bsd[330,5] = 1 ;
810
deg[330,5] = 1 ;
811
dsc[330,5] = 1 ;
812
E [330,5] = [x, [1,1,1,1,1]];
813
814
815
bsd[331,1] = 0 ;
816
deg[331,1] = 3 ;
817
dsc[331,1] = 1 ;
818
E [331,1] = [x, [1,-1,-2,-1,1]];
819
820
bsd[331,2] = 0 ;
821
deg[331,2] = 53 ;
822
dsc[331,2] = 229 ;
823
E [331,2] = [x^3+2*x^2-4*x-7, [1,x,-x-1,x^2-2,-x^2+2]];
824
825
bsd[331,3] = 0 ;
826
deg[331,3] = 3*53 ;
827
dsc[331,3] = 1399*21911 ;
828
E [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
830
bsd[331,4] = 1/5*11 ;
831
deg[331,4] = 1 ;
832
dsc[331,4] = 2^8*205493*6363601*584461573862449 ;
833
E [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
836
bsd[332,1] = 0 ;
837
deg[332,1] = 3^2 ;
838
dsc[332,1] = 2^3 ;
839
E [332,1] = [x^2+2*x-1, [1,0,x,0,-x-1]];
840
841
bsd[332,2] = 1 ;
842
deg[332,2] = 3*29 ;
843
dsc[332,2] = 2^2*7 ;
844
E [332,2] = [x^2-7, [1,0,x,0,x-1]];
845
846
bsd[332,3] = 1 ;
847
deg[332,3] = 3^3*29 ;
848
dsc[332,3] = 7^2 ;
849
E [332,3] = [x^3-4*x^2+3*x+1, [1,0,x,0,-2*x^2+4*x+2]];
850
851
852
bsd[333,1] = 0 ;
853
deg[333,1] = 1 ;
854
dsc[333,1] = 1 ;
855
E [333,1] = [x, [1,-1,0,-1,2]];
856
857
bsd[333,2] = 0 ;
858
deg[333,2] = 5 ;
859
dsc[333,2] = 1 ;
860
E [333,2] = [x, [1,0,0,-2,0]];
861
862
bsd[333,3] = 0 ;
863
deg[333,3] = 3 ;
864
dsc[333,3] = 1 ;
865
E [333,3] = [x, [1,1,0,-1,-2]];
866
867
bsd[333,4] = 1 ;
868
deg[333,4] = 7 ;
869
dsc[333,4] = 1 ;
870
E [333,4] = [x, [1,2,0,2,2]];
871
872
bsd[333,5] = 0 ;
873
deg[333,5] = 5 ;
874
dsc[333,5] = 2^2*37 ;
875
E [333,5] = [x^3+3*x^2-x-5, [1,x,0,x^2-2,x^2-5]];
876
877
bsd[333,6] = 1/3 ;
878
deg[333,6] = 3 ;
879
dsc[333,6] = 2^10*3^3 ;
880
E [333,6] = [x^4-6*x^2+3, [1,x,0,x^2-2,-x^3+5*x]];
881
882
bsd[333,7] = 1 ;
883
deg[333,7] = 7 ;
884
dsc[333,7] = 2^4*389 ;
885
E [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
888
bsd[334,1] = 1 ;
889
deg[334,1] = 1 ;
890
dsc[334,1] = 1 ;
891
E [334,1] = [x, [1,1,0,1,3]];
892
893
bsd[334,2] = 0 ;
894
deg[334,2] = 5 ;
895
dsc[334,2] = 5 ;
896
E [334,2] = [x^2+x-1, [1,-1,x,1,-1]];
897
898
bsd[334,3] = 1 ;
899
deg[334,3] = 3^2*7^2 ;
900
dsc[334,3] = 2^3 ;
901
E [334,3] = [x^2-8, [2,-2,2*x,2,-x+2]];
902
903
bsd[334,4] = 0 ;
904
deg[334,4] = 3^2*11 ;
905
dsc[334,4] = 5 ;
906
E [334,4] = [x^2+3*x+1, [1,1,x,1,-2*x-5]];
907
908
bsd[334,5] = 1 ;
909
deg[334,5] = 7^2*113 ;
910
dsc[334,5] = 7*67 ;
911
E [334,5] = [x^3+x^2-5*x-4, [1,-1,x,1,-x^2+x+4]];
912
913
bsd[334,6] = 11/7 ;
914
deg[334,6] = 11 ;
915
dsc[334,6] = 733 ;
916
E [334,6] = [x^3-x^2-7*x+8, [1,1,x,1,-1]];
917
918
bsd[335,1] = 0 ;
919
deg[335,1] = 1 ;
920
dsc[335,1] = 1 ;
921
E [335,1] = [x, [1,0,0,-2,1]];
922
923
bsd[335,2] = 0 ;
924
deg[335,2] = 3^2 ;
925
dsc[335,2] = 2^3 ;
926
E [335,2] = [x^2-2, [1,x,-x,0,-1]];
927
928
bsd[335,3] = 1 ;
929
deg[335,3] = 179 ;
930
dsc[335,3] = 5 ;
931
E [335,3] = [x^2-x-1, [1,x,2*x-1,x-1,-1]];
932
933
bsd[335,4] = 1/3 ;
934
deg[335,4] = 59*179 ;
935
dsc[335,4] = 3*29*71*83*887 ;
936
E [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
938
bsd[335,5] = 3^4/17 ;
939
deg[335,5] = 3^4 ;
940
dsc[335,5] = 2^2*26393*6262079*23057641 ;
941
E [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
944
bsd[336,1] = 0 ;
945
deg[336,1] = 1 ;
946
dsc[336,1] = 1 ;
947
E [336,1] = [x, [1,0,-1,0,-2]];
948
949
bsd[336,2] = 1 ;
950
deg[336,2] = 3 ;
951
dsc[336,2] = 1 ;
952
E [336,2] = [x, [1,0,-1,0,0]];
953
954
bsd[336,3] = 1 ;
955
deg[336,3] = 1 ;
956
dsc[336,3] = 1 ;
957
E [336,3] = [x, [1,0,-1,0,2]];
958
959
bsd[336,4] = 1 ;
960
deg[336,4] = 3 ;
961
dsc[336,4] = 1 ;
962
E [336,4] = [x, [1,0,1,0,-2]];
963
964
bsd[336,5] = 3 ;
965
deg[336,5] = 3 ;
966
dsc[336,5] = 1 ;
967
E [336,5] = [x, [1,0,1,0,2]];
968
969
bsd[336,6] = 1 ;
970
deg[336,6] = 3 ;
971
dsc[336,6] = 1 ;
972
E [336,6] = [x, [1,0,1,0,4]];
973
974
975
bsd[337,1] = 0 ;
976
deg[337,1] = 1 ;
977
dsc[337,1] = 113*2791*747945736667 ;
978
E [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
980
bsd[337,2] = 1/7 ;
981
deg[337,2] = 1 ;
982
dsc[337,2] = 2^4*593*2963615537*4122851467451 ;
983
E [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
986
bsd[338,1] = 0 ;
987
deg[338,1] = 3*7 ;
988
dsc[338,1] = 1 ;
989
E [338,1] = [x, [1,-1,-3,1,1]];
990
991
bsd[338,2] = 1 ;
992
deg[338,2] = 3*13 ;
993
dsc[338,2] = 1 ;
994
E [338,2] = [x, [1,-1,-1,1,3]];
995
996
bsd[338,3] = 0 ;
997
deg[338,3] = 3 ;
998
dsc[338,3] = 1 ;
999
E [338,3] = [x, [1,-1,0,1,1]];
1000
1001
bsd[338,4] = 0 ;
1002
deg[338,4] = 3 ;
1003
dsc[338,4] = 1 ;
1004
E [338,4] = [x, [1,1,-1,1,-3]];
1005
1006
bsd[338,5] = 1 ;
1007
deg[338,5] = 3*13 ;
1008
dsc[338,5] = 1 ;
1009
E [338,5] = [x, [1,1,0,1,-1]];
1010
1011
bsd[338,6] = 1 ;
1012
deg[338,6] = 7 ;
1013
dsc[338,6] = 1 ;
1014
E [338,6] = [x, [1,1,1,1,3]];
1015
1016
bsd[338,7] = 1 ;
1017
deg[338,7] = 7*13*41 ;
1018
dsc[338,7] = 7^2 ;
1019
E [338,7] = [x^3-3*x^2-4*x+13, [1,-1,x,1,2*x^2-12]];
1020
1021
bsd[338,8] = 41/13 ;
1022
deg[338,8] = 7*13*41 ;
1023
dsc[338,8] = 7^2 ;
1024
E [338,8] = [x^3-3*x^2-4*x+13, [1,1,x,1,-2*x^2+12]];
1025
1026
1027
bsd[339,1] = 0 ;
1028
deg[339,1] = 3 ;
1029
dsc[339,1] = 1 ;
1030
E [339,1] = [x, [1,-2,1,2,-3]];
1031
1032
bsd[339,2] = 0 ;
1033
deg[339,2] = 3^2 ;
1034
dsc[339,2] = 1 ;
1035
E [339,2] = [x, [1,0,1,-2,-1]];
1036
1037
bsd[339,3] = 1 ;
1038
deg[339,3] = 3^2*7 ;
1039
dsc[339,3] = 1 ;
1040
E [339,3] = [x, [1,2,-1,2,2]];
1041
1042
bsd[339,4] = 1 ;
1043
deg[339,4] = 7*71 ;
1044
dsc[339,4] = 2^3 ;
1045
E [339,4] = [x^2+2*x-1, [1,x,-1,-2*x-1,-2*x-1]];
1046
1047
bsd[339,5] = 0 ;
1048
deg[339,5] = 7 ;
1049
dsc[339,5] = 2^3 ;
1050
E [339,5] = [x^2-2, [1,x,-1,0,-x-1]];
1051
1052
bsd[339,6] = 13 ;
1053
deg[339,6] = 13^2 ;
1054
dsc[339,6] = 17 ;
1055
E [339,6] = [x^2-3*x-2, [1,2,1,2,x]];
1056
1057
bsd[339,7] = 13/19 ;
1058
deg[339,7] = 13^2 ;
1059
dsc[339,7] = 2^5*8297 ;
1060
E [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
1062
bsd[339,8] = 1 ;
1063
deg[339,8] = 11^2*71 ;
1064
dsc[339,8] = 2^2*470621 ;
1065
E [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
1068
bsd[340,1] = 0 ;
1069
deg[340,1] = 3 ;
1070
dsc[340,1] = 1 ;
1071
E [340,1] = [x, [1,0,0,0,-1]];
1072
1073
bsd[340,2] = 3 ;
1074
deg[340,2] = 3^3 ;
1075
dsc[340,2] = 2^4*101 ;
1076
E [340,2] = [x^3-8*x+4, [1,0,x,0,1]];
1077
1078
1079
bsd[341,1] = 0 ;
1080
deg[341,1] = 5 ;
1081
dsc[341,1] = 5 ;
1082
E [341,1] = [x^2-x-1, [1,x,-1,x-1,-x-1]];
1083
1084
bsd[341,2] = 0 ;
1085
deg[341,2] = 1 ;
1086
dsc[341,2] = 5^2*89 ;
1087
E [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
1089
bsd[341,3] = 1/3 ;
1090
deg[341,3] = 7^2 ;
1091
dsc[341,3] = 2^6*14444130109 ;
1092
E [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
1094
bsd[341,4] = 1 ;
1095
deg[341,4] = 3*13 ;
1096
dsc[341,4] = 2^6*3*151*1121599*344460847 ;
1097
E [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
1100
bsd[342,1] = 0 ;
1101
deg[342,1] = 1 ;
1102
dsc[342,1] = 1 ;
1103
E [342,1] = [x, [1,-1,0,1,-2]];
1104
1105
bsd[342,2] = 1 ;
1106
deg[342,2] = 3*5 ;
1107
dsc[342,2] = 1 ;
1108
E [342,2] = [x, [1,-1,0,1,-2]];
1109
1110
bsd[342,3] = 0 ;
1111
deg[342,3] = 3 ;
1112
dsc[342,3] = 1 ;
1113
E [342,3] = [x, [1,-1,0,1,0]];
1114
1115
bsd[342,4] = 1 ;
1116
deg[342,4] = 3*5 ;
1117
dsc[342,4] = 1 ;
1118
E [342,4] = [x, [1,-1,0,1,4]];
1119
1120
bsd[342,5] = 3 ;
1121
deg[342,5] = 3*5 ;
1122
dsc[342,5] = 1 ;
1123
E [342,5] = [x, [1,1,0,1,0]];
1124
1125
bsd[342,6] = 1 ;
1126
deg[342,6] = 5 ;
1127
dsc[342,6] = 1 ;
1128
E [342,6] = [x, [1,1,0,1,0]];
1129
1130
bsd[342,7] = 1 ;
1131
deg[342,7] = 3 ;
1132
dsc[342,7] = 1 ;
1133
E [342,7] = [x, [1,1,0,1,2]];
1134
1135
1136
bsd[343,1] = 0 ;
1137
deg[343,1] = 7^2 ;
1138
dsc[343,1] = 7^2 ;
1139
E [343,1] = [x^3+4*x^2+3*x-1, [1,x,0,x^2-2,0]];
1140
1141
bsd[343,2] = 1 ;
1142
deg[343,2] = 7^2*29 ;
1143
dsc[343,2] = 7^2 ;
1144
E [343,2] = [x^3-3*x^2-4*x+13, [1,x,0,x^2-2,0]];
1145
1146
bsd[343,3] = 0 ;
1147
deg[343,3] = 7^2 ;
1148
dsc[343,3] = 7^4*13*41 ;
1149
E [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
1151
bsd[343,4] = 1/7 ;
1152
deg[343,4] = 7^5 ;
1153
dsc[343,4] = 7^4*13*41 ;
1154
E [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
1156
bsd[343,5] = 1/7 ;
1157
deg[343,5] = 7^3*29 ;
1158
dsc[343,5] = 2^9*7^4*29 ;
1159
E [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
1162
bsd[344,1] = 0 ;
1163
deg[344,1] = 1 ;
1164
dsc[344,1] = 1 ;
1165
E [344,1] = [x, [1,0,0,0,-2]];
1166
1167
bsd[344,2] = 0 ;
1168
deg[344,2] = 1 ;
1169
dsc[344,2] = 2^2*3 ;
1170
E [344,2] = [x^2+2*x-2, [1,0,x,0,-x-2]];
1171
1172
bsd[344,3] = 1 ;
1173
deg[344,3] = 1 ;
1174
dsc[344,3] = 229 ;
1175
E [344,3] = [x^3-3*x^2-x+4, [1,0,x,0,-x^2+2*x+2]];
1176
1177
bsd[344,4] = 1 ;
1178
deg[344,4] = 1 ;
1179
dsc[344,4] = 2^2*1999567 ;
1180
E [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
1183
bsd[345,1] = 0 ;
1184
deg[345,1] = 3 ;
1185
dsc[345,1] = 1 ;
1186
E [345,1] = [x, [1,-2,1,2,1]];
1187
1188
bsd[345,2] = 1 ;
1189
deg[345,2] = 5 ;
1190
dsc[345,2] = 1 ;
1191
E [345,2] = [x, [1,-1,1,-1,-1]];
1192
1193
bsd[345,3] = 1 ;
1194
deg[345,3] = 5 ;
1195
dsc[345,3] = 1 ;
1196
E [345,3] = [x, [1,0,-1,-2,-1]];
1197
1198
bsd[345,4] = 0 ;
1199
deg[345,4] = 1 ;
1200
dsc[345,4] = 1 ;
1201
E [345,4] = [x, [1,0,1,-2,-1]];
1202
1203
bsd[345,5] = 5 ;
1204
deg[345,5] = 3*5^2 ;
1205
dsc[345,5] = 1 ;
1206
E [345,5] = [x, [1,1,1,-1,-1]];
1207
1208
bsd[345,6] = 1 ;
1209
deg[345,6] = 3 ;
1210
dsc[345,6] = 1 ;
1211
E [345,6] = [x, [1,2,-1,2,1]];
1212
1213
bsd[345,7] = 0 ;
1214
deg[345,7] = 3*11 ;
1215
dsc[345,7] = 2^2*3 ;
1216
E [345,7] = [x^2+2*x-2, [1,x,-1,-2*x,1]];
1217
1218
bsd[345,8] = 0 ;
1219
deg[345,8] = 3^2 ;
1220
dsc[345,8] = 2^3 ;
1221
E [345,8] = [x^2-2, [1,x,-1,0,-1]];
1222
1223
bsd[345,9] = 5/3 ;
1224
deg[345,9] = 5^3 ;
1225
dsc[345,9] = 2^3*3 ;
1226
E [345,9] = [x^2-6, [1,x,1,4,-1]];
1227
1228
bsd[345,10] = 1 ;
1229
deg[345,10] = 11 ;
1230
dsc[345,10] = 2^2*79 ;
1231
E [345,10] = [x^3+x^2-4*x-2, [1,x,1,x^2-2,1]];
1232
1233
1234
bsd[346,1] = 0 ;
1235
deg[346,1] = 7 ;
1236
dsc[346,1] = 1 ;
1237
E [346,1] = [x, [1,1,-1,1,-3]];
1238
1239
bsd[346,2] = 1 ;
1240
deg[346,2] = 7 ;
1241
dsc[346,2] = 1 ;
1242
E [346,2] = [x, [1,1,1,1,-1]];
1243
1244
bsd[346,3] = 1 ;
1245
deg[346,3] = 7*67 ;
1246
dsc[346,3] = 229 ;
1247
E [346,3] = [x^3-x^2-6*x+4, [2,-2,2*x,2,-x^2+x+4]];
1248
1249
bsd[346,4] = 0 ;
1250
deg[346,4] = 31 ;
1251
dsc[346,4] = 2777 ;
1252
E [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
1254
bsd[346,5] = 79/29 ;
1255
deg[346,5] = 7*79 ;
1256
dsc[346,5] = 2075621 ;
1257
E [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
1260
bsd[347,1] = 0 ;
1261
deg[347,1] = 7 ;
1262
dsc[347,1] = 1 ;
1263
E [347,1] = [x, [1,-2,1,2,0]];
1264
1265
bsd[347,2] = 0 ;
1266
deg[347,2] = 19 ;
1267
dsc[347,2] = 5 ;
1268
E [347,2] = [x^2+x-1, [1,1,x,-1,-2*x-2]];
1269
1270
bsd[347,3] = 0 ;
1271
deg[347,3] = 7*19 ;
1272
dsc[347,3] = 331*479*617 ;
1273
E [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
1275
bsd[347,4] = 1/173 ;
1276
deg[347,4] = 1 ;
1277
dsc[347,4] = 2^7*349*1797330450291217*918291275915301361 ;
1278
E [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
1281
bsd[348,1] = 1 ;
1282
deg[348,1] = 3^2*5 ;
1283
dsc[348,1] = 1 ;
1284
E [348,1] = [x, [1,0,-1,0,-2]];
1285
1286
bsd[348,2] = 0 ;
1287
deg[348,2] = 3 ;
1288
dsc[348,2] = 1 ;
1289
E [348,2] = [x, [1,0,-1,0,0]];
1290
1291
bsd[348,3] = 0 ;
1292
deg[348,3] = 3*7 ;
1293
dsc[348,3] = 1 ;
1294
E [348,3] = [x, [1,0,1,0,-4]];
1295
1296
bsd[348,4] = 1 ;
1297
deg[348,4] = 3 ;
1298
dsc[348,4] = 1 ;
1299
E [348,4] = [x, [1,0,1,0,2]];
1300
1301
1302
bsd[349,1] = 0 ;
1303
deg[349,1] = 1 ;
1304
dsc[349,1] = 13*1118857*72318613 ;
1305
E [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
1307
bsd[349,2] = 1/29 ;
1308
deg[349,2] = 1 ;
1309
dsc[349,2] = 2^6*103*6771977049413*1313981654817031 ;
1310
E [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
1313
bsd[350,1] = 0 ;
1314
deg[350,1] = 3 ;
1315
dsc[350,1] = 1 ;
1316
E [350,1] = [x, [1,-1,-1,1,0]];
1317
1318
bsd[350,2] = 1 ;
1319
deg[350,2] = 3 ;
1320
dsc[350,2] = 1 ;
1321
E [350,2] = [x, [1,-1,0,1,0]];
1322
1323
bsd[350,3] = 1 ;
1324
deg[350,3] = 3*5*11 ;
1325
dsc[350,3] = 1 ;
1326
E [350,3] = [x, [1,-1,3,1,0]];
1327
1328
bsd[350,4] = 0 ;
1329
deg[350,4] = 3*11 ;
1330
dsc[350,4] = 1 ;
1331
E [350,4] = [x, [1,1,-3,1,0]];
1332
1333
bsd[350,5] = 1 ;
1334
deg[350,5] = 3*5 ;
1335
dsc[350,5] = 1 ;
1336
E [350,5] = [x, [1,1,1,1,0]];
1337
1338
bsd[350,6] = 1 ;
1339
deg[350,6] = 3 ;
1340
dsc[350,6] = 1 ;
1341
E [350,6] = [x, [1,1,2,1,0]];
1342
1343
bsd[350,7] = 1 ;
1344
deg[350,7] = 5^2 ;
1345
dsc[350,7] = 2^3*3 ;
1346
E [350,7] = [x^2-6, [1,-1,x,1,0]];
1347
1348
bsd[350,8] = 5 ;
1349
deg[350,8] = 5^2 ;
1350
dsc[350,8] = 2^3*3 ;
1351
E [350,8] = [x^2-6, [1,1,x,1,0]];
1352
1353
1354
bsd[351,1] = 0 ;
1355
deg[351,1] = 3^2 ;
1356
dsc[351,1] = 5 ;
1357
E [351,1] = [x^2+x-1, [1,x,0,-x-1,x-1]];
1358
1359
bsd[351,2] = 0 ;
1360
deg[351,2] = 3^2 ;
1361
dsc[351,2] = 13 ;
1362
E [351,2] = [x^2+x-3, [1,x,0,-x+1,-x-3]];
1363
1364
bsd[351,3] = 1 ;
1365
deg[351,3] = 3^4 ;
1366
dsc[351,3] = 5 ;
1367
E [351,3] = [x^2-x-1, [1,x,0,x-1,x+1]];
1368
1369
bsd[351,4] = 1/3 ;
1370
deg[351,4] = 3^3 ;
1371
dsc[351,4] = 13 ;
1372
E [351,4] = [x^2-x-3, [1,x,0,x+1,-x+3]];
1373
1374
bsd[351,5] = 1 ;
1375
deg[351,5] = 3^5 ;
1376
dsc[351,5] = 2^4*3*37^2 ;
1377
E [351,5] = [x^4-7*x^2+3, [1,x,0,x^2-2,-x^3+6*x]];
1378
1379
bsd[351,6] = 1 ;
1380
deg[351,6] = 3^6*19 ;
1381
dsc[351,6] = 2^4*5^2*19 ;
1382
E [351,6] = [x^4-9*x^2+19, [1,x,0,x^2-2,x^3-4*x]];
1383
1384
1385
bsd[352,1] = 0 ;
1386
deg[352,1] = 3 ;
1387
dsc[352,1] = 1 ;
1388
E [352,1] = [x, [1,0,-3,0,1]];
1389
1390
bsd[352,2] = 0 ;
1391
deg[352,2] = 1 ;
1392
dsc[352,2] = 1 ;
1393
E [352,2] = [x, [1,0,-1,0,-3]];
1394
1395
bsd[352,3] = 0 ;
1396
deg[352,3] = 1 ;
1397
dsc[352,3] = 1 ;
1398
E [352,3] = [x, [1,0,-1,0,1]];
1399
1400
bsd[352,4] = 0 ;
1401
deg[352,4] = 1 ;
1402
dsc[352,4] = 1 ;
1403
E [352,4] = [x, [1,0,1,0,-3]];
1404
1405
bsd[352,5] = 1 ;
1406
deg[352,5] = 1 ;
1407
dsc[352,5] = 1 ;
1408
E [352,5] = [x, [1,0,1,0,1]];
1409
1410
bsd[352,6] = 1 ;
1411
deg[352,6] = 3 ;
1412
dsc[352,6] = 1 ;
1413
E [352,6] = [x, [1,0,3,0,1]];
1414
1415
bsd[352,7] = 1 ;
1416
deg[352,7] = 1 ;
1417
dsc[352,7] = 17 ;
1418
E [352,7] = [x^2+x-4, [1,0,x,0,x+2]];
1419
1420
bsd[352,8] = 1 ;
1421
deg[352,8] = 1 ;
1422
dsc[352,8] = 17 ;
1423
E [352,8] = [x^2-x-4, [1,0,x,0,-x+2]];
1424
1425
1426
bsd[353,1] = 1 ;
1427
deg[353,1] = 3 ;
1428
dsc[353,1] = 1 ;
1429
E [353,1] = [x, [1,-1,2,-1,2]];
1430
1431
bsd[353,2] = 1 ;
1432
deg[353,2] = 127 ;
1433
dsc[353,2] = 229 ;
1434
E [353,2] = [x^3-x^2-6*x+4, [2,2*x,-x^2+x+6,2*x^2-4,-2*x+2]];
1435
1436
bsd[353,3] = 0 ;
1437
deg[353,3] = 1 ;
1438
dsc[353,3] = 114641*7779730837 ;
1439
E [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
1441
bsd[353,4] = 1/11 ;
1442
deg[353,4] = 3*127 ;
1443
dsc[353,4] = 2^4*5*551801*12611821*24314514437 ;
1444
E [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
1447
bsd[354,1] = 0 ;
1448
deg[354,1] = 3*5 ;
1449
dsc[354,1] = 1 ;
1450
E [354,1] = [x, [1,-1,-1,1,0]];
1451
1452
bsd[354,2] = 1 ;
1453
deg[354,2] = 3 ;
1454
dsc[354,2] = 1 ;
1455
E [354,2] = [x, [1,-1,-1,1,2]];
1456
1457
bsd[354,3] = 1/3 ;
1458
deg[354,3] = 5 ;
1459
dsc[354,3] = 1 ;
1460
E [354,3] = [x, [1,-1,1,1,0]];
1461
1462
bsd[354,4] = 0 ;
1463
deg[354,4] = 7 ;
1464
dsc[354,4] = 1 ;
1465
E [354,4] = [x, [1,1,-1,1,-4]];
1466
1467
bsd[354,5] = 1 ;
1468
deg[354,5] = 1 ;
1469
dsc[354,5] = 1 ;
1470
E [354,5] = [x, [1,1,-1,1,0]];
1471
1472
bsd[354,6] = 11 ;
1473
deg[354,6] = 3^2*11 ;
1474
dsc[354,6] = 1 ;
1475
E [354,6] = [x, [1,1,-1,1,4]];
1476
1477
bsd[354,7] = 5 ;
1478
deg[354,7] = 5^2*11 ;
1479
dsc[354,7] = 2^2*11 ;
1480
E [354,7] = [x^2-2*x-10, [1,-1,1,1,x]];
1481
1482
bsd[354,8] = 19 ;
1483
deg[354,8] = 19*29 ;
1484
dsc[354,8] = 2^2*79 ;
1485
E [354,8] = [x^3-2*x^2-6*x+8, [2,2,2,2,2*x]];
1486
1487
1488
bsd[355,1] = 1/3 ;
1489
deg[355,1] = 1 ;
1490
dsc[355,1] = 1 ;
1491
E [355,1] = [x, [1,0,-2,-2,1]];
1492
1493
bsd[355,2] = 0 ;
1494
deg[355,2] = 7*61 ;
1495
dsc[355,2] = 19*103 ;
1496
E [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
1498
bsd[355,3] = 0 ;
1499
deg[355,3] = 1 ;
1500
dsc[355,3] = 5^2*29 ;
1501
E [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
1503
bsd[355,4] = 1 ;
1504
deg[355,4] = 1 ;
1505
dsc[355,4] = 62581037 ;
1506
E [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
1508
bsd[355,5] = 1 ;
1509
deg[355,5] = 103*359 ;
1510
dsc[355,5] = 2^7*933591331 ;
1511
E [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
1514
bsd[356,1] = 0 ;
1515
deg[356,1] = 3 ;
1516
dsc[356,1] = 1 ;
1517
E [356,1] = [x, [1,0,-1,0,-1]];
1518
1519
bsd[356,2] = 3 ;
1520
deg[356,2] = 3^6 ;
1521
dsc[356,2] = 2^7*3*4079*31547 ;
1522
E [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
1525
bsd[357,1] = 0 ;
1526
deg[357,1] = 7 ;
1527
dsc[357,1] = 1 ;
1528
E [357,1] = [x, [1,-2,1,2,-3]];
1529
1530
bsd[357,2] = 1 ;
1531
deg[357,2] = 17 ;
1532
dsc[357,2] = 1 ;
1533
E [357,2] = [x, [1,0,-1,-2,1]];
1534
1535
bsd[357,3] = 0 ;
1536
deg[357,3] = 1 ;
1537
dsc[357,3] = 1 ;
1538
E [357,3] = [x, [1,0,-1,-2,1]];
1539
1540
bsd[357,4] = 1 ;
1541
deg[357,4] = 3 ;
1542
dsc[357,4] = 1 ;
1543
E [357,4] = [x, [1,2,1,2,1]];
1544
1545
bsd[357,5] = 0 ;
1546
deg[357,5] = 3*47 ;
1547
dsc[357,5] = 2^2*3 ;
1548
E [357,5] = [x^2+2*x-2, [1,x,1,-2*x,-x-3]];
1549
1550
bsd[357,6] = 0 ;
1551
deg[357,6] = 1 ;
1552
dsc[357,6] = 2^3 ;
1553
E [357,6] = [x^2-2, [1,x,-1,0,-x-1]];
1554
1555
bsd[357,7] = 1 ;
1556
deg[357,7] = 1 ;
1557
dsc[357,7] = 2^2*79 ;
1558
E [357,7] = [x^3-x^2-4*x+2, [1,x,1,x^2-2,-x+1]];
1559
1560
bsd[357,8] = 1 ;
1561
deg[357,8] = 223 ;
1562
dsc[357,8] = 2^8*113 ;
1563
E [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
1566
bsd[358,1] = 1 ;
1567
deg[358,1] = 3*17 ;
1568
dsc[358,1] = 1 ;
1569
E [358,1] = [x, [1,-1,2,1,0]];
1570
1571
bsd[358,2] = 1/3 ;
1572
deg[358,2] = 11 ;
1573
dsc[358,2] = 1 ;
1574
E [358,2] = [x, [1,1,-2,1,0]];
1575
1576
bsd[358,3] = 1 ;
1577
deg[358,3] = 3*5*17 ;
1578
dsc[358,3] = 3*7 ;
1579
E [358,3] = [x^2-x-5, [1,-1,x,1,3]];
1580
1581
bsd[358,4] = 0 ;
1582
deg[358,4] = 79 ;
1583
dsc[358,4] = 5 ;
1584
E [358,4] = [x^2+3*x+1, [1,1,x,1,-2*x-5]];
1585
1586
bsd[358,5] = 29 ;
1587
deg[358,5] = 11^2*29 ;
1588
dsc[358,5] = 5 ;
1589
E [358,5] = [x^2-x-11, [3,3,-x+5,3,3*x]];
1590
1591
bsd[358,6] = 1/5 ;
1592
deg[358,6] = 11 ;
1593
dsc[358,6] = 5 ;
1594
E [358,6] = [x^2-3*x+1, [1,1,x,1,1]];
1595
1596
bsd[358,7] = 0 ;
1597
deg[358,7] = 13 ;
1598
dsc[358,7] = 17^3 ;
1599
E [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
1602
bsd[359,1] = 0 ;
1603
deg[359,1] = 1 ;
1604
dsc[359,1] = 1 ;
1605
E [359,1] = [x, [1,-1,0,-1,1]];
1606
1607
bsd[359,2] = 0 ;
1608
deg[359,2] = 1 ;
1609
dsc[359,2] = 1 ;
1610
E [359,2] = [x, [1,1,-2,-1,1]];
1611
1612
bsd[359,3] = 0 ;
1613
deg[359,3] = 1 ;
1614
dsc[359,3] = 2777 ;
1615
E [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
1617
bsd[359,4] = 1/179 ;
1618
deg[359,4] = 1 ;
1619
dsc[359,4] = 2^4*3^4*16512254293*64542630435970307*2171776478013633068927 ;
1620
E [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
1623
bsd[360,1] = 0 ;
1624
deg[360,1] = 1 ;
1625
dsc[360,1] = 1 ;
1626
E [360,1] = [x, [1,0,0,0,-1]];
1627
1628
bsd[360,2] = 1 ;
1629
deg[360,2] = 1 ;
1630
dsc[360,2] = 1 ;
1631
E [360,2] = [x, [1,0,0,0,-1]];
1632
1633
bsd[360,3] = 1 ;
1634
deg[360,3] = 1 ;
1635
dsc[360,3] = 1 ;
1636
E [360,3] = [x, [1,0,0,0,-1]];
1637
1638
bsd[360,4] = 1 ;
1639
deg[360,4] = 3 ;
1640
dsc[360,4] = 1 ;
1641
E [360,4] = [x, [1,0,0,0,1]];
1642
1643
bsd[360,5] = 1 ;
1644
deg[360,5] = 1 ;
1645
dsc[360,5] = 1 ;
1646
E [360,5] = [x, [1,0,0,0,1]];
1647
1648
1649
bsd[361,1] = 0 ;
1650
deg[361,1] = 5 ;
1651
dsc[361,1] = 1 ;
1652
E [361,1] = [x, [1,0,0,-2,-1]];
1653
1654
bsd[361,2] = 1 ;
1655
deg[361,2] = 3*5 ;
1656
dsc[361,2] = 1 ;
1657
E [361,2] = [x, [1,0,2,-2,3]];
1658
1659
bsd[361,3] = 1 ;
1660
deg[361,3] = 11*19 ;
1661
dsc[361,3] = 5 ;
1662
E [361,3] = [x^2+x-1, [1,x,-x-2,-x-1,-2*x]];
1663
1664
bsd[361,4] = 1 ;
1665
deg[361,4] = 5*11*19 ;
1666
dsc[361,4] = 5 ;
1667
E [361,4] = [x^2-x-1, [1,2*x-1,-2,3,x]];
1668
1669
bsd[361,5] = 1 ;
1670
deg[361,5] = 5*11 ;
1671
dsc[361,5] = 5 ;
1672
E [361,5] = [x^2-x-1, [1,-2*x+1,2,3,x]];
1673
1674
bsd[361,6] = 1/5 ;
1675
deg[361,6] = 11 ;
1676
dsc[361,6] = 5 ;
1677
E [361,6] = [x^2-x-1, [1,x,-x+2,x-1,2*x]];
1678
1679
bsd[361,7] = 0 ;
1680
deg[361,7] = 3*19 ;
1681
dsc[361,7] = 3^4 ;
1682
E [361,7] = [x^3+3*x^2-3, [1,x,x^2+2*x-2,x^2-2,-x^2-2*x]];
1683
1684
bsd[361,8] = 1 ;
1685
deg[361,8] = 3*19^2 ;
1686
dsc[361,8] = 3^4 ;
1687
E [361,8] = [x^3-3*x^2+3, [1,x,-x^2+2*x+2,x^2-2,-x^2+2*x]];
1688
1689
bsd[361,9] = 0 ;
1690
deg[361,9] = 5*19 ;
1691
dsc[361,9] = 2^4*5^3 ;
1692
E [361,9] = [x^4-5*x^2+5, [1,x,-x,x^2-2,-2*x^2+4]];
1693
1694
1695
bsd[362,1] = 0 ;
1696
deg[362,1] = 5 ;
1697
dsc[362,1] = 1 ;
1698
E [362,1] = [x, [1,-1,-1,1,2]];
1699
1700
bsd[362,2] = 0 ;
1701
deg[362,2] = 7 ;
1702
dsc[362,2] = 1 ;
1703
E [362,2] = [x, [1,1,-1,1,-2]];
1704
1705
bsd[362,3] = 0 ;
1706
deg[362,3] = 5*29 ;
1707
dsc[362,3] = 5 ;
1708
E [362,3] = [x^2+2*x-4, [2,-2,2*x,2,-x-2]];
1709
1710
bsd[362,4] = 23/7 ;
1711
deg[362,4] = 17*23 ;
1712
dsc[362,4] = 2^3 ;
1713
E [362,4] = [x^2-2*x-1, [1,1,x,1,-x+3]];
1714
1715
bsd[362,5] = 1/3 ;
1716
deg[362,5] = 3*797 ;
1717
dsc[362,5] = 2^3*17*6359 ;
1718
E [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
1720
bsd[362,6] = 17/13 ;
1721
deg[362,6] = 17^2 ;
1722
dsc[362,6] = 5*1134769 ;
1723
E [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
1726
bsd[363,1] = 1 ;
1727
deg[363,1] = 3^2*11 ;
1728
dsc[363,1] = 1 ;
1729
E [363,1] = [x, [1,-2,-1,2,4]];
1730
1731
bsd[363,2] = 1 ;
1732
deg[363,2] = 3^2*5 ;
1733
dsc[363,2] = 1 ;
1734
E [363,2] = [x, [1,-1,-1,-1,-2]];
1735
1736
bsd[363,3] = 1 ;
1737
deg[363,3] = 3^2 ;
1738
dsc[363,3] = 1 ;
1739
E [363,3] = [x, [1,2,-1,2,4]];
1740
1741
bsd[363,4] = 0 ;
1742
deg[363,4] = 5*11 ;
1743
dsc[363,4] = 5 ;
1744
E [363,4] = [x^2+3*x+1, [1,x,-1,-3*x-3,x+2]];
1745
1746
bsd[363,5] = 0 ;
1747
deg[363,5] = 5 ;
1748
dsc[363,5] = 5 ;
1749
E [363,5] = [x^2+x-1, [1,x,1,-x-1,-x-2]];
1750
1751
bsd[363,6] = 0 ;
1752
deg[363,6] = 3*11 ;
1753
dsc[363,6] = 2^2*3 ;
1754
E [363,6] = [x^2-3, [1,x,-1,1,-3]];
1755
1756
bsd[363,7] = 5 ;
1757
deg[363,7] = 3^2*5*11 ;
1758
dsc[363,7] = 2^2*5 ;
1759
E [363,7] = [x^2-5, [1,x,1,3,2]];
1760
1761
bsd[363,8] = 1 ;
1762
deg[363,8] = 5*11^2 ;
1763
dsc[363,8] = 5 ;
1764
E [363,8] = [x^2-x-1, [1,x,1,x-1,x-2]];
1765
1766
bsd[363,9] = 1 ;
1767
deg[363,9] = 5*11 ;
1768
dsc[363,9] = 5 ;
1769
E [363,9] = [x^2-3*x+1, [1,x,-1,3*x-3,-x+2]];
1770
1771
bsd[363,10] = 1/11 ;
1772
deg[363,10] = 3^2*11 ;
1773
dsc[363,10] = 2^4*3^2*11^2 ;
1774
E [363,10] = [x^4-7*x^2+4, [2,2*x,2,2*x^2-4,-2*x^2+8]];
1775
1776
1777
bsd[364,1] = 0 ;
1778
deg[364,1] = 3 ;
1779
dsc[364,1] = 1 ;
1780
E [364,1] = [x, [1,0,-2,0,1]];
1781
1782
bsd[364,2] = 0 ;
1783