Properties

Label 1440.2.a.p.1.2
Level 14401440
Weight 22
Character 1440.1
Self dual yes
Analytic conductor 11.49811.498
Analytic rank 00
Dimension 22
Inner twists 22

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Show commands: Magma / Pari/GP / SageMath

Newspace parameters

Copy content comment:Compute space of new eigenforms
 
Copy content gp:[N,k,chi] = [1440,2,Mod(1,1440)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)
 
Copy content sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(1440, base_ring=CyclotomicField(2)) chi = DirichletCharacter(H, H._module([0, 0, 0, 0])) N = Newforms(chi, 2, names="a")
 
Copy content magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("1440.1"); S:= CuspForms(chi, 2); N := Newforms(S);
 
Level: N N == 1440=25325 1440 = 2^{5} \cdot 3^{2} \cdot 5
Weight: k k == 2 2
Character orbit: [χ][\chi] == 1440.a (trivial)

Newform invariants

Copy content comment:select newform
 
Copy content sage:traces = [2,0,0,0,-2,0,0,0,0,0,0,0,8,0,0,0,-4,0,0] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(19)] == traces)
 
Copy content gp:f = lf[1] \\ Warning: the index may be different
 
Self dual: yes
Analytic conductor: 11.498457891111.4984578911
Analytic rank: 00
Dimension: 22
Coefficient field: Q(ζ10)+\Q(\zeta_{10})^+
Copy content comment:defining polynomial
 
Copy content gp:f.mod \\ as an extension of the character field
 
Defining polynomial: x2x1 x^{2} - x - 1 Copy content Toggle raw display
Coefficient ring: Z[a1,,a7]\Z[a_1, \ldots, a_{7}]
Coefficient ring index: 22 2^{2}
Twist minimal: yes
Fricke sign: 1-1
Sato-Tate group: SU(2)\mathrm{SU}(2)

Embedding invariants

Embedding label 1.2
Root 0.618034-0.618034 of defining polynomial
Character χ\chi == 1440.1

qq-expansion

Copy content comment:q-expansion
 
Copy content sage:f.q_expansion() # note that sage often uses an isomorphic number field
 
Copy content gp:mfcoefs(f, 20)
 
f(q)f(q) == q1.00000q5+4.47214q7+4.47214q11+4.00000q132.00000q178.94427q23+1.00000q25+6.00000q298.94427q314.47214q35+8.00000q378.00000q41+8.94427q47+13.0000q49+6.00000q534.47214q55+4.47214q59+10.0000q614.00000q658.94427q67+8.94427q71+6.00000q73+20.0000q77+8.94427q798.94427q83+2.00000q854.00000q89+17.8885q91+2.00000q97+O(q100)q-1.00000 q^{5} +4.47214 q^{7} +4.47214 q^{11} +4.00000 q^{13} -2.00000 q^{17} -8.94427 q^{23} +1.00000 q^{25} +6.00000 q^{29} -8.94427 q^{31} -4.47214 q^{35} +8.00000 q^{37} -8.00000 q^{41} +8.94427 q^{47} +13.0000 q^{49} +6.00000 q^{53} -4.47214 q^{55} +4.47214 q^{59} +10.0000 q^{61} -4.00000 q^{65} -8.94427 q^{67} +8.94427 q^{71} +6.00000 q^{73} +20.0000 q^{77} +8.94427 q^{79} -8.94427 q^{83} +2.00000 q^{85} -4.00000 q^{89} +17.8885 q^{91} +2.00000 q^{97} +O(q^{100})
Tr(f)(q)\operatorname{Tr}(f)(q) == 2q2q5+8q134q17+2q25+12q29+16q3716q41+26q49+12q53+20q618q65+12q73+40q77+4q858q89+4q97+O(q100) 2 q - 2 q^{5} + 8 q^{13} - 4 q^{17} + 2 q^{25} + 12 q^{29} + 16 q^{37} - 16 q^{41} + 26 q^{49} + 12 q^{53} + 20 q^{61} - 8 q^{65} + 12 q^{73} + 40 q^{77} + 4 q^{85} - 8 q^{89} + 4 q^{97}+O(q^{100}) Copy content Toggle raw display

Coefficient data

For each nn we display the coefficients of the qq-expansion ana_n, the Satake parameters αp\alpha_p, and the Satake angles θp=Arg(αp)\theta_p = \textrm{Arg}(\alpha_p).



Display apa_p with pp up to: 50 250 1000 (See ana_n instead) (See ana_n instead) (See ana_n instead) Display ana_n with nn up to: 50 250 1000 (See only apa_p) (See only apa_p) (See only apa_p)
Significant digits:
nn ana_n an/n(k1)/2a_n / n^{(k-1)/2} αn \alpha_n θn \theta_n
pp apa_p ap/p(k1)/2a_p / p^{(k-1)/2} αp \alpha_p θp \theta_p
22 0 0
33 0 0
44 0 0
55 −1.00000 −0.447214
66 0 0
77 4.47214 1.69031 0.845154 0.534522i 0.179509π-0.179509\pi
0.845154 + 0.534522i 0.179509π0.179509\pi
88 0 0
99 0 0
1010 0 0
1111 4.47214 1.34840 0.674200 0.738549i 0.264489π-0.264489\pi
0.674200 + 0.738549i 0.264489π0.264489\pi
1212 0 0
1313 4.00000 1.10940 0.554700 0.832050i 0.312833π-0.312833\pi
0.554700 + 0.832050i 0.312833π0.312833\pi
1414 0 0
1515 0 0
1616 0 0
1717 −2.00000 −0.485071 −0.242536 0.970143i 0.577979π-0.577979\pi
−0.242536 + 0.970143i 0.577979π0.577979\pi
1818 0 0
1919 0 0 1.00000i 0.5π-0.5\pi
1.00000i 0.5π0.5\pi
2020 0 0
2121 0 0
2222 0 0
2323 −8.94427 −1.86501 −0.932505 0.361158i 0.882382π-0.882382\pi
−0.932505 + 0.361158i 0.882382π0.882382\pi
2424 0 0
2525 1.00000 0.200000
2626 0 0
2727 0 0
2828 0 0
2929 6.00000 1.11417 0.557086 0.830455i 0.311919π-0.311919\pi
0.557086 + 0.830455i 0.311919π0.311919\pi
3030 0 0
3131 −8.94427 −1.60644 −0.803219 0.595683i 0.796881π-0.796881\pi
−0.803219 + 0.595683i 0.796881π0.796881\pi
3232 0 0
3333 0 0
3434 0 0
3535 −4.47214 −0.755929
3636 0 0
3737 8.00000 1.31519 0.657596 0.753371i 0.271573π-0.271573\pi
0.657596 + 0.753371i 0.271573π0.271573\pi
3838 0 0
3939 0 0
4040 0 0
4141 −8.00000 −1.24939 −0.624695 0.780869i 0.714777π-0.714777\pi
−0.624695 + 0.780869i 0.714777π0.714777\pi
4242 0 0
4343 0 0 1.00000i 0.5π-0.5\pi
1.00000i 0.5π0.5\pi
4444 0 0
4545 0 0
4646 0 0
4747 8.94427 1.30466 0.652328 0.757937i 0.273792π-0.273792\pi
0.652328 + 0.757937i 0.273792π0.273792\pi
4848 0 0
4949 13.0000 1.85714
5050 0 0
5151 0 0
5252 0 0
5353 6.00000 0.824163 0.412082 0.911147i 0.364802π-0.364802\pi
0.412082 + 0.911147i 0.364802π0.364802\pi
5454 0 0
5555 −4.47214 −0.603023
5656 0 0
5757 0 0
5858 0 0
5959 4.47214 0.582223 0.291111 0.956689i 0.405975π-0.405975\pi
0.291111 + 0.956689i 0.405975π0.405975\pi
6060 0 0
6161 10.0000 1.28037 0.640184 0.768221i 0.278858π-0.278858\pi
0.640184 + 0.768221i 0.278858π0.278858\pi
6262 0 0
6363 0 0
6464 0 0
6565 −4.00000 −0.496139
6666 0 0
6767 −8.94427 −1.09272 −0.546358 0.837552i 0.683986π-0.683986\pi
−0.546358 + 0.837552i 0.683986π0.683986\pi
6868 0 0
6969 0 0
7070 0 0
7171 8.94427 1.06149 0.530745 0.847532i 0.321912π-0.321912\pi
0.530745 + 0.847532i 0.321912π0.321912\pi
7272 0 0
7373 6.00000 0.702247 0.351123 0.936329i 0.385800π-0.385800\pi
0.351123 + 0.936329i 0.385800π0.385800\pi
7474 0 0
7575 0 0
7676 0 0
7777 20.0000 2.27921
7878 0 0
7979 8.94427 1.00631 0.503155 0.864196i 0.332173π-0.332173\pi
0.503155 + 0.864196i 0.332173π0.332173\pi
8080 0 0
8181 0 0
8282 0 0
8383 −8.94427 −0.981761 −0.490881 0.871227i 0.663325π-0.663325\pi
−0.490881 + 0.871227i 0.663325π0.663325\pi
8484 0 0
8585 2.00000 0.216930
8686 0 0
8787 0 0
8888 0 0
8989 −4.00000 −0.423999 −0.212000 0.977270i 0.567998π-0.567998\pi
−0.212000 + 0.977270i 0.567998π0.567998\pi
9090 0 0
9191 17.8885 1.87523
9292 0 0
9393 0 0
9494 0 0
9595 0 0
9696 0 0
9797 2.00000 0.203069 0.101535 0.994832i 0.467625π-0.467625\pi
0.101535 + 0.994832i 0.467625π0.467625\pi
9898 0 0
9999 0 0
100100 0 0
101101 −10.0000 −0.995037 −0.497519 0.867453i 0.665755π-0.665755\pi
−0.497519 + 0.867453i 0.665755π0.665755\pi
102102 0 0
103103 4.47214 0.440653 0.220326 0.975426i 0.429288π-0.429288\pi
0.220326 + 0.975426i 0.429288π0.429288\pi
104104 0 0
105105 0 0
106106 0 0
107107 −8.94427 −0.864675 −0.432338 0.901712i 0.642311π-0.642311\pi
−0.432338 + 0.901712i 0.642311π0.642311\pi
108108 0 0
109109 −6.00000 −0.574696 −0.287348 0.957826i 0.592774π-0.592774\pi
−0.287348 + 0.957826i 0.592774π0.592774\pi
110110 0 0
111111 0 0
112112 0 0
113113 −14.0000 −1.31701 −0.658505 0.752577i 0.728811π-0.728811\pi
−0.658505 + 0.752577i 0.728811π0.728811\pi
114114 0 0
115115 8.94427 0.834058
116116 0 0
117117 0 0
118118 0 0
119119 −8.94427 −0.819920
120120 0 0
121121 9.00000 0.818182
122122 0 0
123123 0 0
124124 0 0
125125 −1.00000 −0.0894427
126126 0 0
127127 4.47214 0.396838 0.198419 0.980117i 0.436419π-0.436419\pi
0.198419 + 0.980117i 0.436419π0.436419\pi
128128 0 0
129129 0 0
130130 0 0
131131 −4.47214 −0.390732 −0.195366 0.980730i 0.562590π-0.562590\pi
−0.195366 + 0.980730i 0.562590π0.562590\pi
132132 0 0
133133 0 0
134134 0 0
135135 0 0
136136 0 0
137137 18.0000 1.53784 0.768922 0.639343i 0.220793π-0.220793\pi
0.768922 + 0.639343i 0.220793π0.220793\pi
138138 0 0
139139 −17.8885 −1.51729 −0.758643 0.651506i 0.774137π-0.774137\pi
−0.758643 + 0.651506i 0.774137π0.774137\pi
140140 0 0
141141 0 0
142142 0 0
143143 17.8885 1.49592
144144 0 0
145145 −6.00000 −0.498273
146146 0 0
147147 0 0
148148 0 0
149149 10.0000 0.819232 0.409616 0.912258i 0.365663π-0.365663\pi
0.409616 + 0.912258i 0.365663π0.365663\pi
150150 0 0
151151 0 0 1.00000i 0.5π-0.5\pi
1.00000i 0.5π0.5\pi
152152 0 0
153153 0 0
154154 0 0
155155 8.94427 0.718421
156156 0 0
157157 12.0000 0.957704 0.478852 0.877896i 0.341053π-0.341053\pi
0.478852 + 0.877896i 0.341053π0.341053\pi
158158 0 0
159159 0 0
160160 0 0
161161 −40.0000 −3.15244
162162 0 0
163163 −8.94427 −0.700569 −0.350285 0.936643i 0.613915π-0.613915\pi
−0.350285 + 0.936643i 0.613915π0.613915\pi
164164 0 0
165165 0 0
166166 0 0
167167 −8.94427 −0.692129 −0.346064 0.938211i 0.612482π-0.612482\pi
−0.346064 + 0.938211i 0.612482π0.612482\pi
168168 0 0
169169 3.00000 0.230769
170170 0 0
171171 0 0
172172 0 0
173173 14.0000 1.06440 0.532200 0.846619i 0.321365π-0.321365\pi
0.532200 + 0.846619i 0.321365π0.321365\pi
174174 0 0
175175 4.47214 0.338062
176176 0 0
177177 0 0
178178 0 0
179179 4.47214 0.334263 0.167132 0.985935i 0.446550π-0.446550\pi
0.167132 + 0.985935i 0.446550π0.446550\pi
180180 0 0
181181 −22.0000 −1.63525 −0.817624 0.575753i 0.804709π-0.804709\pi
−0.817624 + 0.575753i 0.804709π0.804709\pi
182182 0 0
183183 0 0
184184 0 0
185185 −8.00000 −0.588172
186186 0 0
187187 −8.94427 −0.654070
188188 0 0
189189 0 0
190190 0 0
191191 −26.8328 −1.94155 −0.970777 0.239983i 0.922858π-0.922858\pi
−0.970777 + 0.239983i 0.922858π0.922858\pi
192192 0 0
193193 6.00000 0.431889 0.215945 0.976406i 0.430717π-0.430717\pi
0.215945 + 0.976406i 0.430717π0.430717\pi
194194 0 0
195195 0 0
196196 0 0
197197 18.0000 1.28245 0.641223 0.767354i 0.278427π-0.278427\pi
0.641223 + 0.767354i 0.278427π0.278427\pi
198198 0 0
199199 −17.8885 −1.26809 −0.634043 0.773298i 0.718606π-0.718606\pi
−0.634043 + 0.773298i 0.718606π0.718606\pi
200200 0 0
201201 0 0
202202 0 0
203203 26.8328 1.88329
204204 0 0
205205 8.00000 0.558744
206206 0 0
207207 0 0
208208 0 0
209209 0 0
210210 0 0
211211 0 0 1.00000i 0.5π-0.5\pi
1.00000i 0.5π0.5\pi
212212 0 0
213213 0 0
214214 0 0
215215 0 0
216216 0 0
217217 −40.0000 −2.71538
218218 0 0
219219 0 0
220220 0 0
221221 −8.00000 −0.538138
222222 0 0
223223 −13.4164 −0.898429 −0.449215 0.893424i 0.648296π-0.648296\pi
−0.449215 + 0.893424i 0.648296π0.648296\pi
224224 0 0
225225 0 0
226226 0 0
227227 17.8885 1.18730 0.593652 0.804722i 0.297686π-0.297686\pi
0.593652 + 0.804722i 0.297686π0.297686\pi
228228 0 0
229229 −10.0000 −0.660819 −0.330409 0.943838i 0.607187π-0.607187\pi
−0.330409 + 0.943838i 0.607187π0.607187\pi
230230 0 0
231231 0 0
232232 0 0
233233 14.0000 0.917170 0.458585 0.888650i 0.348356π-0.348356\pi
0.458585 + 0.888650i 0.348356π0.348356\pi
234234 0 0
235235 −8.94427 −0.583460
236236 0 0
237237 0 0
238238 0 0
239239 8.94427 0.578557 0.289278 0.957245i 0.406585π-0.406585\pi
0.289278 + 0.957245i 0.406585π0.406585\pi
240240 0 0
241241 −10.0000 −0.644157 −0.322078 0.946713i 0.604381π-0.604381\pi
−0.322078 + 0.946713i 0.604381π0.604381\pi
242242 0 0
243243 0 0
244244 0 0
245245 −13.0000 −0.830540
246246 0 0
247247 0 0
248248 0 0
249249 0 0
250250 0 0
251251 −22.3607 −1.41139 −0.705697 0.708514i 0.749366π-0.749366\pi
−0.705697 + 0.708514i 0.749366π0.749366\pi
252252 0 0
253253 −40.0000 −2.51478
254254 0 0
255255 0 0
256256 0 0
257257 2.00000 0.124757 0.0623783 0.998053i 0.480131π-0.480131\pi
0.0623783 + 0.998053i 0.480131π0.480131\pi
258258 0 0
259259 35.7771 2.22308
260260 0 0
261261 0 0
262262 0 0
263263 8.94427 0.551527 0.275764 0.961225i 0.411069π-0.411069\pi
0.275764 + 0.961225i 0.411069π0.411069\pi
264264 0 0
265265 −6.00000 −0.368577
266266 0 0
267267 0 0
268268 0 0
269269 30.0000 1.82913 0.914566 0.404436i 0.132532π-0.132532\pi
0.914566 + 0.404436i 0.132532π0.132532\pi
270270 0 0
271271 0 0 1.00000i 0.5π-0.5\pi
1.00000i 0.5π0.5\pi
272272 0 0
273273 0 0
274274 0 0
275275 4.47214 0.269680
276276 0 0
277277 8.00000 0.480673 0.240337 0.970690i 0.422742π-0.422742\pi
0.240337 + 0.970690i 0.422742π0.422742\pi
278278 0 0
279279 0 0
280280 0 0
281281 −12.0000 −0.715860 −0.357930 0.933748i 0.616517π-0.616517\pi
−0.357930 + 0.933748i 0.616517π0.616517\pi
282282 0 0
283283 26.8328 1.59505 0.797523 0.603289i 0.206143π-0.206143\pi
0.797523 + 0.603289i 0.206143π0.206143\pi
284284 0 0
285285 0 0
286286 0 0
287287 −35.7771 −2.11185
288288 0 0
289289 −13.0000 −0.764706
290290 0 0
291291 0 0
292292 0 0
293293 −14.0000 −0.817889 −0.408944 0.912559i 0.634103π-0.634103\pi
−0.408944 + 0.912559i 0.634103π0.634103\pi
294294 0 0
295295 −4.47214 −0.260378
296296 0 0
297297 0 0
298298 0 0
299299 −35.7771 −2.06904
300300 0 0
301301 0 0
302302 0 0
303303 0 0
304304 0 0
305305 −10.0000 −0.572598
306306 0 0
307307 17.8885 1.02095 0.510477 0.859892i 0.329469π-0.329469\pi
0.510477 + 0.859892i 0.329469π0.329469\pi
308308 0 0
309309 0 0
310310 0 0
311311 8.94427 0.507183 0.253592 0.967311i 0.418388π-0.418388\pi
0.253592 + 0.967311i 0.418388π0.418388\pi
312312 0 0
313313 6.00000 0.339140 0.169570 0.985518i 0.445762π-0.445762\pi
0.169570 + 0.985518i 0.445762π0.445762\pi
314314 0 0
315315 0 0
316316 0 0
317317 18.0000 1.01098 0.505490 0.862832i 0.331312π-0.331312\pi
0.505490 + 0.862832i 0.331312π0.331312\pi
318318 0 0
319319 26.8328 1.50235
320320 0 0
321321 0 0
322322 0 0
323323 0 0
324324 0 0
325325 4.00000 0.221880
326326 0 0
327327 0 0
328328 0 0
329329 40.0000 2.20527
330330 0 0
331331 −35.7771 −1.96649 −0.983243 0.182298i 0.941646π-0.941646\pi
−0.983243 + 0.182298i 0.941646π0.941646\pi
332332 0 0
333333 0 0
334334 0 0
335335 8.94427 0.488678
336336 0 0
337337 −18.0000 −0.980522 −0.490261 0.871576i 0.663099π-0.663099\pi
−0.490261 + 0.871576i 0.663099π0.663099\pi
338338 0 0
339339 0 0
340340 0 0
341341 −40.0000 −2.16612
342342 0 0
343343 26.8328 1.44884
344344 0 0
345345 0 0
346346 0 0
347347 0 0 1.00000i 0.5π-0.5\pi
1.00000i 0.5π0.5\pi
348348 0 0
349349 −30.0000 −1.60586 −0.802932 0.596071i 0.796728π-0.796728\pi
−0.802932 + 0.596071i 0.796728π0.796728\pi
350350 0 0
351351 0 0
352352 0 0
353353 6.00000 0.319348 0.159674 0.987170i 0.448956π-0.448956\pi
0.159674 + 0.987170i 0.448956π0.448956\pi
354354 0 0
355355 −8.94427 −0.474713
356356 0 0
357357 0 0
358358 0 0
359359 35.7771 1.88824 0.944121 0.329598i 0.106913π-0.106913\pi
0.944121 + 0.329598i 0.106913π0.106913\pi
360360 0 0
361361 −19.0000 −1.00000
362362 0 0
363363 0 0
364364 0 0
365365 −6.00000 −0.314054
366366 0 0
367367 −13.4164 −0.700331 −0.350165 0.936688i 0.613875π-0.613875\pi
−0.350165 + 0.936688i 0.613875π0.613875\pi
368368 0 0
369369 0 0
370370 0 0
371371 26.8328 1.39309
372372 0 0
373373 4.00000 0.207112 0.103556 0.994624i 0.466978π-0.466978\pi
0.103556 + 0.994624i 0.466978π0.466978\pi
374374 0 0
375375 0 0
376376 0 0
377377 24.0000 1.23606
378378 0 0
379379 −17.8885 −0.918873 −0.459436 0.888211i 0.651949π-0.651949\pi
−0.459436 + 0.888211i 0.651949π0.651949\pi
380380 0 0
381381 0 0
382382 0 0
383383 −8.94427 −0.457031 −0.228515 0.973540i 0.573387π-0.573387\pi
−0.228515 + 0.973540i 0.573387π0.573387\pi
384384 0 0
385385 −20.0000 −1.01929
386386 0 0
387387 0 0
388388 0 0
389389 −30.0000 −1.52106 −0.760530 0.649303i 0.775061π-0.775061\pi
−0.760530 + 0.649303i 0.775061π0.775061\pi
390390 0 0
391391 17.8885 0.904663
392392 0 0
393393 0 0
394394 0 0
395395 −8.94427 −0.450035
396396 0 0
397397 8.00000 0.401508 0.200754 0.979642i 0.435661π-0.435661\pi
0.200754 + 0.979642i 0.435661π0.435661\pi
398398 0 0
399399 0 0
400400 0 0
401401 −20.0000 −0.998752 −0.499376 0.866385i 0.666437π-0.666437\pi
−0.499376 + 0.866385i 0.666437π0.666437\pi
402402 0 0
403403 −35.7771 −1.78218
404404 0 0
405405 0 0
406406 0 0
407407 35.7771 1.77340
408408 0 0
409409 26.0000 1.28562 0.642809 0.766027i 0.277769π-0.277769\pi
0.642809 + 0.766027i 0.277769π0.277769\pi
410410 0 0
411411 0 0
412412 0 0
413413 20.0000 0.984136
414414 0 0
415415 8.94427 0.439057
416416 0 0
417417 0 0
418418 0 0
419419 −4.47214 −0.218478 −0.109239 0.994016i 0.534841π-0.534841\pi
−0.109239 + 0.994016i 0.534841π0.534841\pi
420420 0 0
421421 −10.0000 −0.487370 −0.243685 0.969854i 0.578356π-0.578356\pi
−0.243685 + 0.969854i 0.578356π0.578356\pi
422422 0 0
423423 0 0
424424 0 0
425425 −2.00000 −0.0970143
426426 0 0
427427 44.7214 2.16422
428428 0 0
429429 0 0
430430 0 0
431431 17.8885 0.861661 0.430830 0.902433i 0.358221π-0.358221\pi
0.430830 + 0.902433i 0.358221π0.358221\pi
432432 0 0
433433 −26.0000 −1.24948 −0.624740 0.780833i 0.714795π-0.714795\pi
−0.624740 + 0.780833i 0.714795π0.714795\pi
434434 0 0
435435 0 0
436436 0 0
437437 0 0
438438 0 0
439439 −35.7771 −1.70755 −0.853774 0.520644i 0.825692π-0.825692\pi
−0.853774 + 0.520644i 0.825692π0.825692\pi
440440 0 0
441441 0 0
442442 0 0
443443 −35.7771 −1.69982 −0.849910 0.526927i 0.823344π-0.823344\pi
−0.849910 + 0.526927i 0.823344π0.823344\pi
444444 0 0
445445 4.00000 0.189618
446446 0 0
447447 0 0
448448 0 0
449449 −20.0000 −0.943858 −0.471929 0.881636i 0.656442π-0.656442\pi
−0.471929 + 0.881636i 0.656442π0.656442\pi
450450 0 0
451451 −35.7771 −1.68468
452452 0 0
453453 0 0
454454 0 0
455455 −17.8885 −0.838628
456456 0 0
457457 −22.0000 −1.02912 −0.514558 0.857455i 0.672044π-0.672044\pi
−0.514558 + 0.857455i 0.672044π0.672044\pi
458458 0 0
459459 0 0
460460 0 0
461461 −30.0000 −1.39724 −0.698620 0.715493i 0.746202π-0.746202\pi
−0.698620 + 0.715493i 0.746202π0.746202\pi
462462 0 0
463463 −40.2492 −1.87054 −0.935270 0.353935i 0.884843π-0.884843\pi
−0.935270 + 0.353935i 0.884843π0.884843\pi
464464 0 0
465465 0 0
466466 0 0
467467 −8.94427 −0.413892 −0.206946 0.978352i 0.566352π-0.566352\pi
−0.206946 + 0.978352i 0.566352π0.566352\pi
468468 0 0
469469 −40.0000 −1.84703
470470 0 0
471471 0 0
472472 0 0
473473 0 0
474474 0 0
475475 0 0
476476 0 0
477477 0 0
478478 0 0
479479 −26.8328 −1.22602 −0.613011 0.790074i 0.710042π-0.710042\pi
−0.613011 + 0.790074i 0.710042π0.710042\pi
480480 0 0
481481 32.0000 1.45907
482482 0 0
483483 0 0
484484 0 0
485485 −2.00000 −0.0908153
486486 0 0
487487 −22.3607 −1.01326 −0.506630 0.862164i 0.669109π-0.669109\pi
−0.506630 + 0.862164i 0.669109π0.669109\pi
488488 0 0
489489 0 0
490490 0 0
491491 −4.47214 −0.201825 −0.100912 0.994895i 0.532176π-0.532176\pi
−0.100912 + 0.994895i 0.532176π0.532176\pi
492492 0 0
493493 −12.0000 −0.540453
494494 0 0
495495 0 0
496496 0 0
497497 40.0000 1.79425
498498 0 0
499499 0 0 1.00000i 0.5π-0.5\pi
1.00000i 0.5π0.5\pi
500500 0 0
501501 0 0
502502 0 0
503503 −26.8328 −1.19642 −0.598208 0.801341i 0.704120π-0.704120\pi
−0.598208 + 0.801341i 0.704120π0.704120\pi
504504 0 0
505505 10.0000 0.444994
506506 0 0
507507 0 0
508508 0 0
509509 14.0000 0.620539 0.310270 0.950649i 0.399581π-0.399581\pi
0.310270 + 0.950649i 0.399581π0.399581\pi
510510 0 0
511511 26.8328 1.18701
512512 0 0
513513 0 0
514514 0 0
515515 −4.47214 −0.197066
516516 0 0
517517 40.0000 1.75920
518518 0 0
519519 0 0
520520 0 0
521521 20.0000 0.876216 0.438108 0.898922i 0.355649π-0.355649\pi
0.438108 + 0.898922i 0.355649π0.355649\pi
522522 0 0
523523 26.8328 1.17332 0.586659 0.809834i 0.300443π-0.300443\pi
0.586659 + 0.809834i 0.300443π0.300443\pi
524524 0 0
525525 0 0
526526 0 0
527527 17.8885 0.779237
528528 0 0
529529 57.0000 2.47826
530530 0 0
531531 0 0
532532 0 0
533533 −32.0000 −1.38607
534534 0 0
535535 8.94427 0.386695
536536 0 0
537537 0 0
538538 0 0
539539 58.1378 2.50417
540540 0 0
541541 2.00000 0.0859867 0.0429934 0.999075i 0.486311π-0.486311\pi
0.0429934 + 0.999075i 0.486311π0.486311\pi
542542 0 0
543543 0 0
544544 0 0
545545 6.00000 0.257012
546546 0 0
547547 0 0 1.00000i 0.5π-0.5\pi
1.00000i 0.5π0.5\pi
548548 0 0
549549 0 0
550550 0 0
551551 0 0
552552 0 0
553553 40.0000 1.70097
554554 0 0
555555 0 0
556556 0 0
557557 22.0000 0.932170 0.466085 0.884740i 0.345664π-0.345664\pi
0.466085 + 0.884740i 0.345664π0.345664\pi
558558 0 0
559559 0 0
560560 0 0
561561 0 0
562562 0 0
563563 −17.8885 −0.753912 −0.376956 0.926231i 0.623029π-0.623029\pi
−0.376956 + 0.926231i 0.623029π0.623029\pi
564564 0 0
565565 14.0000 0.588984
566566 0 0
567567 0 0
568568 0 0
569569 20.0000 0.838444 0.419222 0.907884i 0.362303π-0.362303\pi
0.419222 + 0.907884i 0.362303π0.362303\pi
570570 0 0
571571 35.7771 1.49722 0.748612 0.663008i 0.230720π-0.230720\pi
0.748612 + 0.663008i 0.230720π0.230720\pi
572572 0 0
573573 0 0
574574 0 0
575575 −8.94427 −0.373002
576576 0 0
577577 −38.0000 −1.58196 −0.790980 0.611842i 0.790429π-0.790429\pi
−0.790980 + 0.611842i 0.790429π0.790429\pi
578578 0 0
579579 0 0
580580 0 0
581581 −40.0000 −1.65948
582582 0 0
583583 26.8328 1.11130
584584 0 0
585585 0 0
586586 0 0
587587 26.8328 1.10751 0.553754 0.832680i 0.313195π-0.313195\pi
0.553754 + 0.832680i 0.313195π0.313195\pi
588588 0 0
589589 0 0
590590 0 0
591591 0 0
592592 0 0
593593 −6.00000 −0.246390 −0.123195 0.992382i 0.539314π-0.539314\pi
−0.123195 + 0.992382i 0.539314π0.539314\pi
594594 0 0
595595 8.94427 0.366679
596596 0 0
597597 0 0
598598 0 0
599599 −35.7771 −1.46181 −0.730906 0.682478i 0.760902π-0.760902\pi
−0.730906 + 0.682478i 0.760902π0.760902\pi
600600 0 0
601601 −10.0000 −0.407909 −0.203954 0.978980i 0.565379π-0.565379\pi
−0.203954 + 0.978980i 0.565379π0.565379\pi
602602 0 0
603603 0 0
604604 0 0
605605 −9.00000 −0.365902
606606 0 0
607607 −22.3607 −0.907592 −0.453796 0.891106i 0.649931π-0.649931\pi
−0.453796 + 0.891106i 0.649931π0.649931\pi
608608 0 0
609609 0 0
610610 0 0
611611 35.7771 1.44739
612612 0 0
613613 16.0000 0.646234 0.323117 0.946359i 0.395269π-0.395269\pi
0.323117 + 0.946359i 0.395269π0.395269\pi
614614 0 0
615615 0 0
616616 0 0
617617 38.0000 1.52982 0.764911 0.644136i 0.222783π-0.222783\pi
0.764911 + 0.644136i 0.222783π0.222783\pi
618618 0 0
619619 17.8885 0.719001 0.359501 0.933145i 0.382947π-0.382947\pi
0.359501 + 0.933145i 0.382947π0.382947\pi
620620 0 0
621621 0 0
622622 0 0
623623 −17.8885 −0.716689
624624 0 0
625625 1.00000 0.0400000
626626 0 0
627627 0 0
628628 0 0
629629 −16.0000 −0.637962
630630 0 0
631631 26.8328 1.06820 0.534099 0.845422i 0.320651π-0.320651\pi
0.534099 + 0.845422i 0.320651π0.320651\pi
632632 0 0
633633 0 0
634634 0 0
635635 −4.47214 −0.177471
636636 0 0
637637 52.0000 2.06032
638638 0 0
639639 0 0
640640 0 0
641641 8.00000 0.315981 0.157991 0.987441i 0.449498π-0.449498\pi
0.157991 + 0.987441i 0.449498π0.449498\pi
642642 0 0
643643 8.94427 0.352728 0.176364 0.984325i 0.443566π-0.443566\pi
0.176364 + 0.984325i 0.443566π0.443566\pi
644644 0 0
645645 0 0
646646 0 0
647647 −8.94427 −0.351636 −0.175818 0.984423i 0.556257π-0.556257\pi
−0.175818 + 0.984423i 0.556257π0.556257\pi
648648 0 0
649649 20.0000 0.785069
650650 0 0
651651 0 0
652652 0 0
653653 −14.0000 −0.547862 −0.273931 0.961749i 0.588324π-0.588324\pi
−0.273931 + 0.961749i 0.588324π0.588324\pi
654654 0 0
655655 4.47214 0.174741
656656 0 0
657657 0 0
658658 0 0
659659 13.4164 0.522629 0.261315 0.965254i 0.415844π-0.415844\pi
0.261315 + 0.965254i 0.415844π0.415844\pi
660660 0 0
661661 10.0000 0.388955 0.194477 0.980907i 0.437699π-0.437699\pi
0.194477 + 0.980907i 0.437699π0.437699\pi
662662 0 0
663663 0 0
664664 0 0
665665 0 0
666666 0 0
667667 −53.6656 −2.07794
668668 0 0
669669 0 0
670670 0 0
671671 44.7214 1.72645
672672 0 0
673673 14.0000 0.539660 0.269830 0.962908i 0.413032π-0.413032\pi
0.269830 + 0.962908i 0.413032π0.413032\pi
674674 0 0
675675 0 0
676676 0 0
677677 −38.0000 −1.46046 −0.730229 0.683202i 0.760587π-0.760587\pi
−0.730229 + 0.683202i 0.760587π0.760587\pi
678678 0 0
679679 8.94427 0.343250
680680 0 0
681681 0 0
682682 0 0
683683 8.94427 0.342243 0.171122 0.985250i 0.445261π-0.445261\pi
0.171122 + 0.985250i 0.445261π0.445261\pi
684684 0 0
685685 −18.0000 −0.687745
686686 0 0
687687 0 0
688688 0 0
689689 24.0000 0.914327
690690 0 0
691691 17.8885 0.680512 0.340256 0.940333i 0.389486π-0.389486\pi
0.340256 + 0.940333i 0.389486π0.389486\pi
692692 0 0
693693 0 0
694694 0 0
695695 17.8885 0.678551
696696 0 0
697697 16.0000 0.606043
698698 0 0
699699 0 0
700700 0 0
701701 38.0000 1.43524 0.717620 0.696435i 0.245231π-0.245231\pi
0.717620 + 0.696435i 0.245231π0.245231\pi
702702 0 0
703703 0 0
704704 0 0
705705 0 0
706706 0 0
707707 −44.7214 −1.68192
708708 0 0
709709 −10.0000 −0.375558 −0.187779 0.982211i 0.560129π-0.560129\pi
−0.187779 + 0.982211i 0.560129π0.560129\pi
710710 0 0
711711 0 0
712712 0 0
713713 80.0000 2.99602
714714 0 0
715715 −17.8885 −0.668994
716716 0 0
717717 0 0
718718 0 0
719719 −17.8885 −0.667130 −0.333565 0.942727i 0.608252π-0.608252\pi
−0.333565 + 0.942727i 0.608252π0.608252\pi
720720 0 0
721721 20.0000 0.744839
722722 0 0
723723 0 0
724724 0 0
725725 6.00000 0.222834
726726 0 0
727727 13.4164 0.497587 0.248794 0.968557i 0.419966π-0.419966\pi
0.248794 + 0.968557i 0.419966π0.419966\pi
728728 0 0
729729 0 0
730730 0 0
731731 0 0
732732 0 0
733733 16.0000 0.590973 0.295487 0.955347i 0.404518π-0.404518\pi
0.295487 + 0.955347i 0.404518π0.404518\pi
734734 0 0
735735 0 0
736736 0 0
737737 −40.0000 −1.47342
738738 0 0
739739 17.8885 0.658041 0.329020 0.944323i 0.393282π-0.393282\pi
0.329020 + 0.944323i 0.393282π0.393282\pi
740740 0 0
741741 0 0
742742 0 0
743743 8.94427 0.328134 0.164067 0.986449i 0.447539π-0.447539\pi
0.164067 + 0.986449i 0.447539π0.447539\pi
744744 0 0
745745 −10.0000 −0.366372
746746 0 0
747747 0 0
748748 0 0
749749 −40.0000 −1.46157
750750 0 0
751751 −26.8328 −0.979143 −0.489572 0.871963i 0.662847π-0.662847\pi
−0.489572 + 0.871963i 0.662847π0.662847\pi
752752 0 0
753753 0 0
754754 0 0
755755 0 0
756756 0 0
757757 8.00000 0.290765 0.145382 0.989376i 0.453559π-0.453559\pi
0.145382 + 0.989376i 0.453559π0.453559\pi
758758 0 0
759759 0 0
760760 0 0
761761 −20.0000 −0.724999 −0.362500 0.931984i 0.618077π-0.618077\pi
−0.362500 + 0.931984i 0.618077π0.618077\pi
762762 0 0
763763 −26.8328 −0.971413
764764 0 0
765765 0 0
766766 0 0
767767 17.8885 0.645918
768768 0 0
769769 30.0000 1.08183 0.540914 0.841078i 0.318079π-0.318079\pi
0.540914 + 0.841078i 0.318079π0.318079\pi
770770 0 0
771771 0 0
772772 0 0
773773 −6.00000 −0.215805 −0.107903 0.994161i 0.534413π-0.534413\pi
−0.107903 + 0.994161i 0.534413π0.534413\pi
774774 0 0
775775 −8.94427 −0.321288
776776 0 0
777777 0 0
778778 0 0
779779 0 0
780780 0 0
781781 40.0000 1.43131
782782 0 0
783783 0 0
784784 0 0
785785 −12.0000 −0.428298
786786 0 0
787787 −26.8328 −0.956487 −0.478243 0.878227i 0.658726π-0.658726\pi
−0.478243 + 0.878227i 0.658726π0.658726\pi
788788 0 0
789789 0 0
790790 0 0
791791 −62.6099 −2.22615
792792 0 0
793793 40.0000 1.42044
794794 0 0
795795 0 0
796796 0 0
797797 −18.0000 −0.637593 −0.318796 0.947823i 0.603279π-0.603279\pi
−0.318796 + 0.947823i 0.603279π0.603279\pi
798798 0 0
799799 −17.8885 −0.632851
800800 0 0
801801 0 0
802802 0 0
803803 26.8328 0.946910
804804 0 0
805805 40.0000 1.40981
806806 0 0
807807 0 0
808808 0 0
809809 24.0000 0.843795 0.421898 0.906644i 0.361364π-0.361364\pi
0.421898 + 0.906644i 0.361364π0.361364\pi
810810 0 0
811811 −17.8885 −0.628152 −0.314076 0.949398i 0.601695π-0.601695\pi
−0.314076 + 0.949398i 0.601695π0.601695\pi
812812 0 0
813813 0 0
814814 0 0
815815 8.94427 0.313304
816816 0 0
817817 0 0
818818 0 0
819819 0 0
820820 0 0
821821 −2.00000 −0.0698005 −0.0349002 0.999391i 0.511111π-0.511111\pi
−0.0349002 + 0.999391i 0.511111π0.511111\pi
822822 0 0
823823 −40.2492 −1.40300 −0.701500 0.712670i 0.747486π-0.747486\pi
−0.701500 + 0.712670i 0.747486π0.747486\pi
824824 0 0
825825 0 0
826826 0 0
827827 −17.8885 −0.622046 −0.311023 0.950402i 0.600672π-0.600672\pi
−0.311023 + 0.950402i 0.600672π0.600672\pi
828828 0 0
829829 −14.0000 −0.486240 −0.243120 0.969996i 0.578171π-0.578171\pi
−0.243120 + 0.969996i 0.578171π0.578171\pi
830830 0 0
831831 0 0
832832 0 0
833833 −26.0000 −0.900847
834834 0 0
835835 8.94427 0.309529
836836 0 0
837837 0 0
838838 0 0
839839 17.8885 0.617581 0.308791 0.951130i 0.400076π-0.400076\pi
0.308791 + 0.951130i 0.400076π0.400076\pi
840840 0 0
841841 7.00000 0.241379
842842 0 0
843843 0 0
844844 0 0
845845 −3.00000 −0.103203
846846 0 0
847847 40.2492 1.38298
848848 0 0
849849 0 0
850850 0 0
851851 −71.5542 −2.45285
852852 0 0
853853 16.0000 0.547830 0.273915 0.961754i 0.411681π-0.411681\pi
0.273915 + 0.961754i 0.411681π0.411681\pi
854854 0 0
855855 0 0
856856 0 0
857857 −18.0000 −0.614868 −0.307434 0.951569i 0.599470π-0.599470\pi
−0.307434 + 0.951569i 0.599470π0.599470\pi
858858 0 0
859859 −53.6656 −1.83105 −0.915524 0.402264i 0.868224π-0.868224\pi
−0.915524 + 0.402264i 0.868224π0.868224\pi
860860 0 0
861861 0 0
862862 0 0
863863 26.8328 0.913400 0.456700 0.889621i 0.349031π-0.349031\pi
0.456700 + 0.889621i 0.349031π0.349031\pi
864864 0 0
865865 −14.0000 −0.476014
866866 0 0
867867 0 0
868868 0 0
869869 40.0000 1.35691
870870 0 0
871871 −35.7771 −1.21226
872872 0 0
873873 0 0
874874 0 0
875875 −4.47214 −0.151186
876876 0 0
877877 52.0000 1.75592 0.877958 0.478738i 0.158906π-0.158906\pi
0.877958 + 0.478738i 0.158906π0.158906\pi
878878 0 0
879879 0 0
880880 0 0
881881 12.0000 0.404290 0.202145 0.979356i 0.435209π-0.435209\pi
0.202145 + 0.979356i 0.435209π0.435209\pi
882882 0 0
883883 8.94427 0.300999 0.150499 0.988610i 0.451912π-0.451912\pi
0.150499 + 0.988610i 0.451912π0.451912\pi
884884 0 0
885885 0 0
886886 0 0
887887 8.94427 0.300319 0.150160 0.988662i 0.452021π-0.452021\pi
0.150160 + 0.988662i 0.452021π0.452021\pi
888888 0 0
889889 20.0000 0.670778
890890 0 0
891891 0 0
892892 0 0
893893 0 0
894894 0 0
895895 −4.47214 −0.149487
896896 0 0
897897 0 0
898898 0 0
899899 −53.6656 −1.78985
900900 0 0
901901 −12.0000 −0.399778
902902 0 0
903903 0 0
904904 0 0
905905 22.0000 0.731305
906906 0 0
907907 53.6656 1.78194 0.890969 0.454064i 0.150026π-0.150026\pi
0.890969 + 0.454064i 0.150026π0.150026\pi
908908 0 0
909909 0 0
910910 0 0
911911 −17.8885 −0.592674 −0.296337 0.955083i 0.595765π-0.595765\pi
−0.296337 + 0.955083i 0.595765π0.595765\pi
912912 0 0
913913 −40.0000 −1.32381
914914 0 0
915915 0 0
916916 0 0
917917 −20.0000 −0.660458
918918 0 0
919919 26.8328 0.885133 0.442566 0.896736i 0.354068π-0.354068\pi
0.442566 + 0.896736i 0.354068π0.354068\pi
920920 0 0
921921 0 0
922922 0 0
923923 35.7771 1.17762
924924 0 0
925925 8.00000 0.263038
926926 0 0
927927 0 0
928928 0 0
929929 −20.0000 −0.656179 −0.328089 0.944647i 0.606405π-0.606405\pi
−0.328089 + 0.944647i 0.606405π0.606405\pi
930930 0 0
931931 0 0
932932 0 0
933933 0 0
934934 0 0
935935 8.94427 0.292509
936936 0 0
937937 −38.0000 −1.24141 −0.620703 0.784046i 0.713153π-0.713153\pi
−0.620703 + 0.784046i 0.713153π0.713153\pi
938938 0 0
939939 0 0
940940 0 0
941941 10.0000 0.325991 0.162995 0.986627i 0.447884π-0.447884\pi
0.162995 + 0.986627i 0.447884π0.447884\pi
942942 0 0
943943 71.5542 2.33012
944944 0 0
945945 0 0
946946 0 0
947947 0 0 1.00000i 0.5π-0.5\pi
1.00000i 0.5π0.5\pi
948948 0 0
949949 24.0000 0.779073
950950 0 0
951951 0 0
952952 0 0
953953 −54.0000 −1.74923 −0.874616 0.484817i 0.838886π-0.838886\pi
−0.874616 + 0.484817i 0.838886π0.838886\pi
954954 0 0
955955 26.8328 0.868290
956956 0 0
957957 0 0
958958 0 0
959959 80.4984 2.59943
960960 0 0
961961 49.0000 1.58065
962962 0 0
963963 0 0
964964 0 0
965965 −6.00000 −0.193147
966966 0 0
967967 40.2492 1.29433 0.647164 0.762351i 0.275955π-0.275955\pi
0.647164 + 0.762351i 0.275955π0.275955\pi
968968 0 0
969969 0 0
970970 0 0
971971 31.3050 1.00462 0.502312 0.864687i 0.332483π-0.332483\pi
0.502312 + 0.864687i 0.332483π0.332483\pi
972972 0 0
973973 −80.0000 −2.56468
974974 0 0
975975 0 0
976976 0 0
977977 −18.0000 −0.575871 −0.287936 0.957650i 0.592969π-0.592969\pi
−0.287936 + 0.957650i 0.592969π0.592969\pi
978978 0 0
979979 −17.8885 −0.571720
980980 0 0
981981 0 0
982982 0 0
983983 44.7214 1.42639 0.713195 0.700966i 0.247247π-0.247247\pi
0.713195 + 0.700966i 0.247247π0.247247\pi
984984 0 0
985985 −18.0000 −0.573528
986986 0 0
987987 0 0
988988 0 0
989989 0 0
990990 0 0
991991 −53.6656 −1.70474 −0.852372 0.522935i 0.824837π-0.824837\pi
−0.852372 + 0.522935i 0.824837π0.824837\pi
992992 0 0
993993 0 0
994994 0 0
995995 17.8885 0.567105
996996 0 0
997997 −28.0000 −0.886769 −0.443384 0.896332i 0.646222π-0.646222\pi
−0.443384 + 0.896332i 0.646222π0.646222\pi
998998 0 0
999999 0 0
Display apa_p with pp up to: 50 250 1000 (See ana_n instead) (See ana_n instead) (See ana_n instead) Display ana_n with nn up to: 50 250 1000 (See only apa_p) (See only apa_p) (See only apa_p)

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 1440.2.a.p.1.2 yes 2
3.2 odd 2 1440.2.a.q.1.2 yes 2
4.3 odd 2 inner 1440.2.a.p.1.1 2
5.2 odd 4 7200.2.f.be.6049.4 4
5.3 odd 4 7200.2.f.be.6049.2 4
5.4 even 2 7200.2.a.ch.1.1 2
8.3 odd 2 2880.2.a.bj.1.1 2
8.5 even 2 2880.2.a.bj.1.2 2
12.11 even 2 1440.2.a.q.1.1 yes 2
15.2 even 4 7200.2.f.bj.6049.3 4
15.8 even 4 7200.2.f.bj.6049.1 4
15.14 odd 2 7200.2.a.cg.1.1 2
20.3 even 4 7200.2.f.be.6049.3 4
20.7 even 4 7200.2.f.be.6049.1 4
20.19 odd 2 7200.2.a.ch.1.2 2
24.5 odd 2 2880.2.a.bi.1.2 2
24.11 even 2 2880.2.a.bi.1.1 2
60.23 odd 4 7200.2.f.bj.6049.4 4
60.47 odd 4 7200.2.f.bj.6049.2 4
60.59 even 2 7200.2.a.cg.1.2 2
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
1440.2.a.p.1.1 2 4.3 odd 2 inner
1440.2.a.p.1.2 yes 2 1.1 even 1 trivial
1440.2.a.q.1.1 yes 2 12.11 even 2
1440.2.a.q.1.2 yes 2 3.2 odd 2
2880.2.a.bi.1.1 2 24.11 even 2
2880.2.a.bi.1.2 2 24.5 odd 2
2880.2.a.bj.1.1 2 8.3 odd 2
2880.2.a.bj.1.2 2 8.5 even 2
7200.2.a.cg.1.1 2 15.14 odd 2
7200.2.a.cg.1.2 2 60.59 even 2
7200.2.a.ch.1.1 2 5.4 even 2
7200.2.a.ch.1.2 2 20.19 odd 2
7200.2.f.be.6049.1 4 20.7 even 4
7200.2.f.be.6049.2 4 5.3 odd 4
7200.2.f.be.6049.3 4 20.3 even 4
7200.2.f.be.6049.4 4 5.2 odd 4
7200.2.f.bj.6049.1 4 15.8 even 4
7200.2.f.bj.6049.2 4 60.47 odd 4
7200.2.f.bj.6049.3 4 15.2 even 4
7200.2.f.bj.6049.4 4 60.23 odd 4