LMFDB - Embedded newform 10.14.a.c.1.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [10,14,Mod(1,10)]

mf = mfinit([N,k,chi],0)

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(10, base_ring=CyclotomicField(2))

chi = DirichletCharacter(H, H._module([0]))

N = Newforms(chi, 14, names="a")

//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code

chi := DirichletCharacter("10.1");

S:= CuspForms(chi, 14);

N := Newforms(S);

Level:	$ N $	$=$	$ 10 = 2 \cdot 5 $
Weight:	$ k $	$=$	$ 14 $
Character orbit:	$[\chi]$	$=$	10.a (trivial)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	yes
Analytic conductor:	$10.7230928952$
Analytic rank:	$0$
Dimension:	$1$
Coefficient field:	$\mathbb{Q}$
Coefficient ring:	$\mathbb{Z}$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Fricke sign:	$-1$
Sato-Tate group:	$\mathrm{SU}(2)$

Embedding invariants

Embedding label			1.1
Character	$\chi$	$=$	10.1

$q$-expansion

comment: q-expansion

sage: f.q_expansion() # note that sage often uses an isomorphic number field

gp: mfcoefs(f, 20)

$f(q)$

$=$

$q+64.0000 q^{2} -2394.00 q^{3} +4096.00 q^{4} -15625.0 q^{5} -153216. q^{6} +438122. q^{7} +262144. q^{8} +4.13691e6 q^{9} +O(q^{10})$

\(q+64.0000 q^{2} -2394.00 q^{3} +4096.00 q^{4} -15625.0 q^{5} -153216. q^{6} +438122. q^{7} +262144. q^{8} +4.13691e6 q^{9} -1.00000e6 q^{10} -1.60829e6 q^{11} -9.80582e6 q^{12} +2.65311e6 q^{13} +2.80398e7 q^{14} +3.74062e7 q^{15} +1.67772e7 q^{16} +1.08908e8 q^{17} +2.64762e8 q^{18} -6.39373e7 q^{19} -6.40000e7 q^{20} -1.04886e9 q^{21} -1.02930e8 q^{22} +1.12382e9 q^{23} -6.27573e8 q^{24} +2.44141e8 q^{25} +1.69799e8 q^{26} -6.08696e9 q^{27} +1.79455e9 q^{28} +2.08048e9 q^{29} +2.39400e9 q^{30} -6.55600e9 q^{31} +1.07374e9 q^{32} +3.85024e9 q^{33} +6.97011e9 q^{34} -6.84566e9 q^{35} +1.69448e10 q^{36} +1.82860e10 q^{37} -4.09199e9 q^{38} -6.35154e9 q^{39} -4.09600e9 q^{40} +3.93906e10 q^{41} -6.71273e10 q^{42} -1.19073e10 q^{43} -6.58755e9 q^{44} -6.46393e10 q^{45} +7.19244e10 q^{46} +6.63745e10 q^{47} -4.01647e10 q^{48} +9.50619e10 q^{49} +1.56250e10 q^{50} -2.60726e11 q^{51} +1.08671e10 q^{52} +3.65954e10 q^{53} -3.89565e11 q^{54} +2.51295e10 q^{55} +1.14851e11 q^{56} +1.53066e11 q^{57} +1.33151e11 q^{58} -3.18466e11 q^{59} +1.53216e11 q^{60} +3.43346e11 q^{61} -4.19584e11 q^{62} +1.81247e12 q^{63} +6.87195e10 q^{64} -4.14548e10 q^{65} +2.46415e11 q^{66} +5.64706e11 q^{67} +4.46087e11 q^{68} -2.69042e12 q^{69} -4.38122e11 q^{70} -1.45413e12 q^{71} +1.08447e12 q^{72} -1.70826e12 q^{73} +1.17031e12 q^{74} -5.84473e11 q^{75} -2.61887e11 q^{76} -7.04626e11 q^{77} -4.06498e11 q^{78} -1.92399e12 q^{79} -2.62144e11 q^{80} +7.97661e12 q^{81} +2.52100e12 q^{82} +1.75734e11 q^{83} -4.29615e12 q^{84} -1.70169e12 q^{85} -7.62065e11 q^{86} -4.98068e12 q^{87} -4.21603e11 q^{88} +3.07926e12 q^{89} -4.13691e12 q^{90} +1.16238e12 q^{91} +4.60316e12 q^{92} +1.56951e13 q^{93} +4.24797e12 q^{94} +9.99020e11 q^{95} -2.57054e12 q^{96} -3.95236e12 q^{97} +6.08396e12 q^{98} -6.65335e12 q^{99} +O(q^{100})\)

Display 100 coefficients 10 coefficients

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$	$a_n / n^{(k-1)/2}$	$ \alpha_n $			$ \theta_n $
$p$	$a_p$	$a_p / p^{(k-1)/2}$	$ \alpha_p$			$ \theta_p $

$2$	64.0000	0.707107
$2$	64.0000	0.707107
$3$	−2394.00	−1.89599	−0.947995	−	0.318286i	$-0.896893\pi$
$3$	−2394.00	−1.89599	−0.947995	+	0.318286i	$0.896893\pi$
$4$	4096.00	0.500000
$5$	−15625.0	−0.447214
$5$	−15625.0	−0.447214
$6$	−153216.	−1.34067
$7$	438122.	1.40753	0.703765	−	0.710433i	$-0.251501\pi$
$7$	438122.	1.40753	0.703765	+	0.710433i	$0.251501\pi$
$8$	262144.	0.353553
$9$	4.13691e6	2.59478
$10$	−1.00000e6	−0.316228
$11$	−1.60829e6	−0.273723	−0.136862	−	0.990590i	$-0.543702\pi$
$11$	−1.60829e6	−0.273723	−0.136862	+	0.990590i	$0.543702\pi$
$12$	−9.80582e6	−0.947995
$13$	2.65311e6	0.152448	0.0762242	−	0.997091i	$-0.475714\pi$
$13$	2.65311e6	0.152448	0.0762242	+	0.997091i	$0.475714\pi$
$14$	2.80398e7	0.995274
$15$	3.74062e7	0.847912
$16$	1.67772e7	0.250000
$17$	1.08908e8	1.09431	0.547157	−	0.837030i	$-0.315710\pi$
$17$	1.08908e8	1.09431	0.547157	+	0.837030i	$0.315710\pi$
$18$	2.64762e8	1.83478
$19$	−6.39373e7	−0.311785	−0.155893	−	0.987774i	$-0.549825\pi$
$19$	−6.39373e7	−0.311785	−0.155893	+	0.987774i	$0.549825\pi$
$20$	−6.40000e7	−0.223607
$21$	−1.04886e9	−2.66866
$22$	−1.02930e8	−0.193551
$23$	1.12382e9	1.58294	0.791472	−	0.611205i	$-0.209315\pi$
$23$	1.12382e9	1.58294	0.791472	+	0.611205i	$0.209315\pi$
$24$	−6.27573e8	−0.670334
$25$	2.44141e8	0.200000
$26$	1.69799e8	0.107797
$27$	−6.08696e9	−3.02368
$28$	1.79455e9	0.703765
$29$	2.08048e9	0.649498	0.324749	−	0.945800i	$-0.394720\pi$
$29$	2.08048e9	0.649498	0.324749	+	0.945800i	$0.394720\pi$
$30$	2.39400e9	0.599565
$31$	−6.55600e9	−1.32675	−0.663374	−	0.748288i	$-0.730876\pi$
$31$	−6.55600e9	−1.32675	−0.663374	+	0.748288i	$0.730876\pi$
$32$	1.07374e9	0.176777
$33$	3.85024e9	0.518976
$34$	6.97011e9	0.773796
$35$	−6.84566e9	−0.629467
$36$	1.69448e10	1.29739
$37$	1.82860e10	1.17168	0.585839	−	0.810428i	$-0.300765\pi$
$37$	1.82860e10	1.17168	0.585839	+	0.810428i	$0.300765\pi$
$38$	−4.09199e9	−0.220466
$39$	−6.35154e9	−0.289041
$40$	−4.09600e9	−0.158114
$41$	3.93906e10	1.29508	0.647542	−	0.762030i	$-0.275797\pi$
$41$	3.93906e10	1.29508	0.647542	+	0.762030i	$0.275797\pi$
$42$	−6.71273e10	−1.88703
$43$	−1.19073e10	−0.287255	−0.143627	−	0.989632i	$-0.545877\pi$
$43$	−1.19073e10	−0.287255	−0.143627	+	0.989632i	$0.545877\pi$
$44$	−6.58755e9	−0.136862
$45$	−6.46393e10	−1.16042
$46$	7.19244e10	1.11931
$47$	6.63745e10	0.898184	0.449092	−	0.893486i	$-0.351748\pi$
$47$	6.63745e10	0.898184	0.449092	+	0.893486i	$0.351748\pi$
$48$	−4.01647e10	−0.473997
$49$	9.50619e10	0.981142
$50$	1.56250e10	0.141421
$51$	−2.60726e11	−2.07481
$52$	1.08671e10	0.0762242
$53$	3.65954e10	0.226795	0.113398	−	0.993550i	$-0.463827\pi$
$53$	3.65954e10	0.226795	0.113398	+	0.993550i	$0.463827\pi$
$54$	−3.89565e11	−2.13807
$55$	2.51295e10	0.122413
$56$	1.14851e11	0.497637
$57$	1.53066e11	0.591142
$58$	1.33151e11	0.459264
$59$	−3.18466e11	−0.982936	−0.491468	−	0.870896i	$-0.663540\pi$
$59$	−3.18466e11	−0.982936	−0.491468	+	0.870896i	$0.663540\pi$
$60$	1.53216e11	0.423956
$61$	3.43346e11	0.853274	0.426637	−	0.904423i	$-0.359698\pi$
$61$	3.43346e11	0.853274	0.426637	+	0.904423i	$0.359698\pi$
$62$	−4.19584e11	−0.938152
$63$	1.81247e12	3.65223
$64$	6.87195e10	0.125000
$65$	−4.14548e10	−0.0681770
$66$	2.46415e11	0.366972
$67$	5.64706e11	0.762669	0.381335	−	0.924437i	$-0.375465\pi$
$67$	5.64706e11	0.762669	0.381335	+	0.924437i	$0.375465\pi$
$68$	4.46087e11	0.547157
$69$	−2.69042e12	−3.00125
$70$	−4.38122e11	−0.445100
$71$	−1.45413e12	−1.34717	−0.673587	−	0.739108i	$-0.735247\pi$
$71$	−1.45413e12	−1.34717	−0.673587	+	0.739108i	$0.735247\pi$
$72$	1.08447e12	0.917392
$73$	−1.70826e12	−1.32116	−0.660580	−	0.750755i	$-0.729690\pi$
$73$	−1.70826e12	−1.32116	−0.660580	+	0.750755i	$0.729690\pi$
$74$	1.17031e12	0.828501
$75$	−5.84473e11	−0.379198
$76$	−2.61887e11	−0.155893
$77$	−7.04626e11	−0.385274
$78$	−4.06498e11	−0.204383
$79$	−1.92399e12	−0.890486	−0.445243	−	0.895410i	$-0.646883\pi$
$79$	−1.92399e12	−0.890486	−0.445243	+	0.895410i	$0.646883\pi$
$80$	−2.62144e11	−0.111803
$81$	7.97661e12	3.13809
$82$	2.52100e12	0.915763
$83$	1.75734e11	0.0589994	0.0294997	−	0.999565i	$-0.490609\pi$
$83$	1.75734e11	0.0589994	0.0294997	+	0.999565i	$0.490609\pi$
$84$	−4.29615e12	−1.33433
$85$	−1.70169e12	−0.489392
$86$	−7.62065e11	−0.203120
$87$	−4.98068e12	−1.23144
$88$	−4.21603e11	−0.0967757
$89$	3.07926e12	0.656768	0.328384	−	0.944544i	$-0.393496\pi$
$89$	3.07926e12	0.656768	0.328384	+	0.944544i	$0.393496\pi$
$90$	−4.13691e12	−0.820541
$91$	1.16238e12	0.214576
$92$	4.60316e12	0.791472
$93$	1.56951e13	2.51550
$94$	4.24797e12	0.635112
$95$	9.99020e11	0.139435
$96$	−2.57054e12	−0.335167
$97$	−3.95236e12	−0.481771	−0.240885	−	0.970554i	$-0.577438\pi$
$97$	−3.95236e12	−0.481771	−0.240885	+	0.970554i	$0.577438\pi$
$98$	6.08396e12	0.693772
$99$	−6.65335e12	−0.710250
$100$	1.00000e12	0.100000
$101$	−2.55483e12	−0.239482	−0.119741	−	0.992805i	$-0.538206\pi$
$101$	−2.55483e12	−0.239482	−0.119741	+	0.992805i	$0.538206\pi$
$102$	−1.66864e13	−1.46711
$103$	−5.36142e12	−0.442423	−0.221212	−	0.975226i	$-0.571001\pi$
$103$	−5.36142e12	−0.442423	−0.221212	+	0.975226i	$0.571001\pi$
$104$	6.95496e11	0.0538986
$105$	1.63885e13	1.19346
$106$	2.34211e12	0.160368
$107$	3.29445e12	0.212221	0.106111	−	0.994354i	$-0.466160\pi$
$107$	3.29445e12	0.212221	0.106111	+	0.994354i	$0.466160\pi$
$108$	−2.49322e13	−1.51184
$109$	−4.62572e12	−0.264185	−0.132092	−	0.991237i	$-0.542170\pi$
$109$	−4.62572e12	−0.264185	−0.132092	+	0.991237i	$0.542170\pi$
$110$	1.60829e12	0.0865588
$111$	−4.37767e13	−2.22149
$112$	7.35047e12	0.351883
$113$	3.71310e13	1.67775	0.838873	−	0.544326i	$-0.183215\pi$
$113$	3.71310e13	1.67775	0.838873	+	0.544326i	$0.183215\pi$
$114$	9.79622e12	0.418001
$115$	−1.75597e13	−0.707914
$116$	8.52167e12	0.324749
$117$	1.09757e13	0.395570
$118$	−2.03818e13	−0.695041
$119$	4.77150e13	1.54028
$120$	9.80582e12	0.299782
$121$	−3.19361e13	−0.925076
$122$	2.19742e13	0.603356
$123$	−9.43012e13	−2.45547
$124$	−2.68534e13	−0.663374
$125$	−3.81470e12	−0.0894427
$126$	1.15998e14	2.58252
$127$	9.66945e12	0.204493	0.102246	−	0.994759i	$-0.467397\pi$
$127$	9.66945e12	0.204493	0.102246	+	0.994759i	$0.467397\pi$
$128$	4.39805e12	0.0883883
$129$	2.85060e13	0.544632
$130$	−2.65311e12	−0.0482084
$131$	2.42838e13	0.419811	0.209906	−	0.977722i	$-0.432684\pi$
$131$	2.42838e13	0.419811	0.209906	+	0.977722i	$0.432684\pi$
$132$	1.57706e13	0.259488
$133$	−2.80123e13	−0.438848
$134$	3.61412e13	0.539289
$135$	9.51088e13	1.35223
$136$	2.85496e13	0.386898
$137$	7.84657e13	1.01390	0.506951	−	0.861975i	$-0.330772\pi$
$137$	7.84657e13	1.01390	0.506951	+	0.861975i	$0.330772\pi$
$138$	−1.72187e14	−2.12220
$139$	5.35357e13	0.629575	0.314788	−	0.949162i	$-0.398067\pi$
$139$	5.35357e13	0.629575	0.314788	+	0.949162i	$0.398067\pi$
$140$	−2.80398e13	−0.314733
$141$	−1.58901e14	−1.70295
$142$	−9.30642e13	−0.952595
$143$	−4.26696e12	−0.0417286
$144$	6.94059e13	0.648694
$145$	−3.25076e13	−0.290464
$146$	−1.09329e14	−0.934202
$147$	−2.27578e14	−1.86024
$148$	7.48995e13	0.585839
$149$	2.41787e13	0.181018	0.0905090	−	0.995896i	$-0.471151\pi$
$149$	2.41787e13	0.181018	0.0905090	+	0.995896i	$0.471151\pi$
$150$	−3.74062e13	−0.268133
$151$	−1.83310e14	−1.25845	−0.629224	−	0.777224i	$-0.716627\pi$
$151$	−1.83310e14	−1.25845	−0.629224	+	0.777224i	$0.716627\pi$
$152$	−1.67608e13	−0.110233
$153$	4.50543e14	2.83950
$154$	−4.50961e13	−0.272430
$155$	1.02438e14	0.593339
$156$	−2.60159e13	−0.144520
$157$	−2.07767e14	−1.10721	−0.553604	−	0.832780i	$-0.686748\pi$
$157$	−2.07767e14	−1.10721	−0.553604	+	0.832780i	$0.686748\pi$
$158$	−1.23136e14	−0.629669
$159$	−8.76095e13	−0.430001
$160$	−1.67772e13	−0.0790569
$161$	4.92370e14	2.22804
$162$	5.10503e14	2.21897
$163$	4.24558e14	1.77304	0.886519	−	0.462692i	$-0.153117\pi$
$163$	4.24558e14	1.77304	0.886519	+	0.462692i	$0.153117\pi$
$164$	1.61344e14	0.647542
$165$	−6.01600e13	−0.232093
$166$	1.12470e13	0.0417189
$167$	−3.06988e14	−1.09513	−0.547564	−	0.836764i	$-0.684445\pi$
$167$	−3.06988e14	−1.09513	−0.547564	+	0.836764i	$0.684445\pi$
$168$	−2.74953e14	−0.943515
$169$	−2.95836e14	−0.976759
$170$	−1.08908e14	−0.346052
$171$	−2.64503e14	−0.809014
$172$	−4.87722e13	−0.143627
$173$	−1.86400e14	−0.528622	−0.264311	−	0.964437i	$-0.585145\pi$
$173$	−1.86400e14	−0.528622	−0.264311	+	0.964437i	$0.585145\pi$
$174$	−3.18764e14	−0.870760
$175$	1.06963e14	0.281506
$176$	−2.69826e13	−0.0684308
$177$	7.62408e14	1.86364
$178$	1.97073e14	0.464405
$179$	5.03730e14	1.14460	0.572299	−	0.820045i	$-0.306052\pi$
$179$	5.03730e14	1.14460	0.572299	+	0.820045i	$0.306052\pi$
$180$	−2.64762e14	−0.580210
$181$	3.59933e14	0.760871	0.380436	−	0.924807i	$-0.375774\pi$
$181$	3.59933e14	0.760871	0.380436	+	0.924807i	$0.375774\pi$
$182$	7.43926e13	0.151728
$183$	−8.21971e14	−1.61780
$184$	2.94602e14	0.559655
$185$	−2.85719e14	−0.523990
$186$	1.00448e15	1.77873
$187$	−1.75155e14	−0.299539
$188$	2.71870e14	0.449092
$189$	−2.66683e15	−4.25592
$190$	6.39373e13	0.0985952
$191$	2.13686e14	0.318464	0.159232	−	0.987241i	$-0.449098\pi$
$191$	2.13686e14	0.318464	0.159232	+	0.987241i	$0.449098\pi$
$192$	−1.64514e14	−0.236999
$193$	7.94986e14	1.10723	0.553614	−	0.832774i	$-0.313248\pi$
$193$	7.94986e14	1.10723	0.553614	+	0.832774i	$0.313248\pi$
$194$	−2.52951e14	−0.340663
$195$	9.92427e13	0.129263
$196$	3.89373e14	0.490571
$197$	−1.03821e15	−1.26548	−0.632742	−	0.774363i	$-0.718071\pi$
$197$	−1.03821e15	−1.26548	−0.632742	+	0.774363i	$0.718071\pi$
$198$	−4.25814e14	−0.502223
$199$	7.45269e14	0.850683	0.425342	−	0.905033i	$-0.360154\pi$
$199$	7.45269e14	0.850683	0.425342	+	0.905033i	$0.360154\pi$
$200$	6.40000e13	0.0707107
$201$	−1.35191e15	−1.44601
$202$	−1.63509e14	−0.169340
$203$	9.11506e14	0.914188
$204$	−1.06793e15	−1.03740
$205$	−6.15479e14	−0.579179
$206$	−3.43131e14	−0.312840
$207$	4.64914e15	4.10739
$208$	4.45117e13	0.0381121
$209$	1.02830e14	0.0853429
$210$	1.04886e15	0.843905
$211$	−1.16495e15	−0.908808	−0.454404	−	0.890796i	$-0.650148\pi$
$211$	−1.16495e15	−0.908808	−0.454404	+	0.890796i	$0.650148\pi$
$212$	1.49895e14	0.113398
$213$	3.48118e15	2.55423
$214$	2.10845e14	0.150063
$215$	1.86051e14	0.128464
$216$	−1.59566e15	−1.06903
$217$	−2.87233e15	−1.86744
$218$	−2.96046e14	−0.186807
$219$	4.08958e15	2.50491
$220$	1.02930e14	0.0612063
$221$	2.88944e14	0.166826
$222$	−2.80171e15	−1.57083
$223$	−2.95381e15	−1.60843	−0.804213	−	0.594341i	$-0.797413\pi$
$223$	−2.95381e15	−1.60843	−0.804213	+	0.594341i	$0.797413\pi$
$224$	4.70430e14	0.248819
$225$	1.00999e15	0.518955
$226$	2.37638e15	1.18635
$227$	−3.76556e15	−1.82668	−0.913338	−	0.407203i	$-0.866504\pi$
$227$	−3.76556e15	−1.82668	−0.913338	+	0.407203i	$0.866504\pi$
$228$	6.26958e14	0.295571
$229$	−6.80473e14	−0.311803	−0.155901	−	0.987773i	$-0.549828\pi$
$229$	−6.80473e14	−0.311803	−0.155901	+	0.987773i	$0.549828\pi$
$230$	−1.12382e15	−0.500571
$231$	1.68688e15	0.730475
$232$	5.45387e14	0.229632
$233$	−3.84142e15	−1.57282	−0.786408	−	0.617707i	$-0.788062\pi$
$233$	−3.84142e15	−1.57282	−0.786408	+	0.617707i	$0.788062\pi$
$234$	7.02443e14	0.279710
$235$	−1.03710e15	−0.401680
$236$	−1.30444e15	−0.491468
$237$	4.60604e15	1.68835
$238$	3.05376e15	1.08914
$239$	6.18758e14	0.214751	0.107375	−	0.994219i	$-0.465755\pi$
$239$	6.18758e14	0.214751	0.107375	+	0.994219i	$0.465755\pi$
$240$	6.27573e14	0.211978
$241$	2.04220e15	0.671410	0.335705	−	0.941967i	$-0.391025\pi$
$241$	2.04220e15	0.671410	0.335705	+	0.941967i	$0.391025\pi$
$242$	−2.04391e15	−0.654127
$243$	−9.39142e15	−2.92611
$244$	1.40635e15	0.426637
$245$	−1.48534e15	−0.438780
$246$	−6.03528e15	−1.73628
$247$	−1.69632e14	−0.0475312
$248$	−1.71862e15	−0.469076
$249$	−4.20706e14	−0.111862
$250$	−2.44141e14	−0.0632456
$251$	2.47575e15	0.624925	0.312463	−	0.949930i	$-0.398846\pi$
$251$	2.47575e15	0.624925	0.312463	+	0.949930i	$0.398846\pi$
$252$	7.42389e15	1.82611
$253$	−1.80743e15	−0.433288
$254$	6.18845e14	0.144598
$255$	4.07384e15	0.927882
$256$	2.81475e14	0.0625000
$257$	−2.30292e15	−0.498556	−0.249278	−	0.968432i	$-0.580193\pi$
$257$	−2.30292e15	−0.498556	−0.249278	+	0.968432i	$0.580193\pi$
$258$	1.82438e15	0.385113
$259$	8.01151e15	1.64917
$260$	−1.69799e14	−0.0340885
$261$	8.60678e15	1.68530
$262$	1.55417e15	0.296851
$263$	1.52761e15	0.284643	0.142322	−	0.989820i	$-0.454543\pi$
$263$	1.52761e15	0.284643	0.142322	+	0.989820i	$0.454543\pi$
$264$	1.00932e15	0.183486
$265$	−5.71804e14	−0.101426
$266$	−1.79279e15	−0.310312
$267$	−7.37176e15	−1.24522
$268$	2.31304e15	0.381335
$269$	4.64542e15	0.747541	0.373771	−	0.927521i	$-0.378065\pi$
$269$	4.64542e15	0.747541	0.373771	+	0.927521i	$0.378065\pi$
$270$	6.08696e15	0.956172
$271$	−1.04281e16	−1.59920	−0.799602	−	0.600530i	$-0.794956\pi$
$271$	−1.04281e16	−1.59920	−0.799602	+	0.600530i	$0.794956\pi$
$272$	1.82717e15	0.273578
$273$	−2.78275e15	−0.406833
$274$	5.02181e15	0.716937
$275$	−3.92648e14	−0.0547446
$276$	−1.10200e16	−1.50062
$277$	5.08783e15	0.676728	0.338364	−	0.941015i	$-0.390126\pi$
$277$	5.08783e15	0.676728	0.338364	+	0.941015i	$0.390126\pi$
$278$	3.42629e15	0.445177
$279$	−2.71216e16	−3.44261
$280$	−1.79455e15	−0.222550
$281$	−3.85938e15	−0.467657	−0.233828	−	0.972278i	$-0.575125\pi$
$281$	−3.85938e15	−0.467657	−0.233828	+	0.972278i	$0.575125\pi$
$282$	−1.01696e16	−1.20417
$283$	1.22951e16	1.42272	0.711362	−	0.702826i	$-0.248079\pi$
$283$	1.22951e16	1.42272	0.711362	+	0.702826i	$0.248079\pi$
$284$	−5.95611e15	−0.673587
$285$	−2.39165e15	−0.264367
$286$	−2.73085e14	−0.0295066
$287$	1.72579e16	1.82287
$288$	4.44198e15	0.458696
$289$	1.95637e15	0.197521
$290$	−2.08048e15	−0.205389
$291$	9.46196e15	0.913432
$292$	−6.99704e15	−0.660580
$293$	−2.72617e15	−0.251717	−0.125859	−	0.992048i	$-0.540169\pi$
$293$	−2.72617e15	−0.251717	−0.125859	+	0.992048i	$0.540169\pi$
$294$	−1.45650e16	−1.31538
$295$	4.97603e15	0.439582
$296$	4.79357e15	0.414250
$297$	9.78959e15	0.827651
$298$	1.54744e15	0.127999
$299$	2.98161e15	0.241317
$300$	−2.39400e15	−0.189599
$301$	−5.21684e15	−0.404320
$302$	−1.17318e16	−0.889857
$303$	6.11627e15	0.454056
$304$	−1.07269e15	−0.0779464
$305$	−5.36479e15	−0.381596
$306$	2.88347e16	2.00783
$307$	−2.34075e16	−1.59571	−0.797857	−	0.602847i	$-0.794033\pi$
$307$	−2.34075e16	−1.59571	−0.797857	+	0.602847i	$0.794033\pi$
$308$	−2.88615e15	−0.192637
$309$	1.28352e16	0.838830
$310$	6.55600e15	0.419554
$311$	2.30372e16	1.44374	0.721868	−	0.692030i	$-0.243284\pi$
$311$	2.30372e16	1.44374	0.721868	+	0.692030i	$0.243284\pi$
$312$	−1.66502e15	−0.102191
$313$	−1.26323e16	−0.759355	−0.379677	−	0.925119i	$-0.623965\pi$
$313$	−1.26323e16	−0.759355	−0.379677	+	0.925119i	$0.623965\pi$
$314$	−1.32971e16	−0.782915
$315$	−2.83199e16	−1.63333
$316$	−7.88067e15	−0.445243
$317$	1.24736e16	0.690408	0.345204	−	0.938528i	$-0.387810\pi$
$317$	1.24736e16	0.690408	0.345204	+	0.938528i	$0.387810\pi$
$318$	−5.60701e15	−0.304057
$319$	−3.34602e15	−0.177782
$320$	−1.07374e15	−0.0559017
$321$	−7.88691e15	−0.402369
$322$	3.15117e16	1.57546
$323$	−6.96328e15	−0.341191
$324$	3.26722e16	1.56905
$325$	6.47731e14	0.0304897
$326$	2.71717e16	1.25373
$327$	1.10740e16	0.500891
$328$	1.03260e16	0.457881
$329$	2.90801e16	1.26422
$330$	−3.85024e15	−0.164115
$331$	−2.74143e16	−1.14576	−0.572882	−	0.819638i	$-0.694175\pi$
$331$	−2.74143e16	−1.14576	−0.572882	+	0.819638i	$0.694175\pi$
$332$	7.19805e14	0.0294997
$333$	7.56477e16	3.04024
$334$	−1.96473e16	−0.774372
$335$	−8.82354e15	−0.341076
$336$	−1.75970e16	−0.667166
$337$	−3.59317e16	−1.33624	−0.668119	−	0.744055i	$-0.732900\pi$
$337$	−3.59317e16	−1.33624	−0.668119	+	0.744055i	$0.732900\pi$
$338$	−1.89335e16	−0.690673
$339$	−8.88916e16	−3.18099
$340$	−6.97011e15	−0.244696
$341$	1.05439e16	0.363161
$342$	−1.69282e16	−0.572059
$343$	−8.00508e14	−0.0265432
$344$	−3.12142e15	−0.101560
$345$	4.20379e16	1.34220
$346$	−1.19296e16	−0.373792
$347$	3.28962e16	1.01159	0.505794	−	0.862654i	$-0.331200\pi$
$347$	3.28962e16	1.01159	0.505794	+	0.862654i	$0.331200\pi$
$348$	−2.04009e16	−0.615720
$349$	−4.43693e16	−1.31437	−0.657185	−	0.753729i	$-0.728253\pi$
$349$	−4.43693e16	−1.31437	−0.657185	+	0.753729i	$0.728253\pi$
$350$	6.84566e15	0.199055
$351$	−1.61494e16	−0.460955
$352$	−1.72689e15	−0.0483879
$353$	−4.90263e16	−1.34863	−0.674316	−	0.738443i	$-0.735561\pi$
$353$	−4.90263e16	−1.34863	−0.674316	+	0.738443i	$0.735561\pi$
$354$	4.87941e16	1.31779
$355$	2.27208e16	0.602474
$356$	1.26127e16	0.328384
$357$	−1.14230e17	−2.92035
$358$	3.22387e16	0.809353
$359$	9.70791e15	0.239338	0.119669	−	0.992814i	$-0.461817\pi$
$359$	9.70791e15	0.239338	0.119669	+	0.992814i	$0.461817\pi$
$360$	−1.69448e16	−0.410270
$361$	−3.79650e16	−0.902790
$362$	2.30357e16	0.538017
$363$	7.64551e16	1.75393
$364$	4.76113e15	0.107288
$365$	2.66916e16	0.590841
$366$	−5.26062e16	−1.14396
$367$	6.92761e16	1.47997	0.739987	−	0.672621i	$-0.234832\pi$
$367$	6.92761e16	1.47997	0.739987	+	0.672621i	$0.234832\pi$
$368$	1.88546e16	0.395736
$369$	1.62956e17	3.36045
$370$	−1.82860e16	−0.370517
$371$	1.60333e16	0.319221
$372$	6.42870e16	1.25775
$373$	−6.38407e16	−1.22741	−0.613706	−	0.789535i	$-0.710322\pi$
$373$	−6.38407e16	−1.22741	−0.613706	+	0.789535i	$0.710322\pi$
$374$	−1.12099e16	−0.211806
$375$	9.13239e15	0.169582
$376$	1.73997e16	0.317556
$377$	5.51975e15	0.0990149
$378$	−1.70677e17	−3.00939
$379$	2.90690e16	0.503820	0.251910	−	0.967751i	$-0.418941\pi$
$379$	2.90690e16	0.503820	0.251910	+	0.967751i	$0.418941\pi$
$380$	4.09199e15	0.0697174
$381$	−2.31487e16	−0.387716
$382$	1.36759e16	0.225188
$383$	4.55533e15	0.0737442	0.0368721	−	0.999320i	$-0.488261\pi$
$383$	4.55533e15	0.0737442	0.0368721	+	0.999320i	$0.488261\pi$
$384$	−1.05289e16	−0.167583
$385$	1.10098e16	0.172300
$386$	5.08791e16	0.782928
$387$	−4.92594e16	−0.745362
$388$	−1.61889e16	−0.240885
$389$	−5.29547e16	−0.774876	−0.387438	−	0.921896i	$-0.626640\pi$
$389$	−5.29547e16	−0.774876	−0.387438	+	0.921896i	$0.626640\pi$
$390$	6.35154e15	0.0914027
$391$	1.22393e17	1.73224
$392$	2.49199e16	0.346886
$393$	−5.81355e16	−0.795958
$394$	−6.64457e16	−0.894832
$395$	3.00624e16	0.398238
$396$	−2.72521e16	−0.355125
$397$	8.99446e16	1.15302	0.576510	−	0.817090i	$-0.304414\pi$
$397$	8.99446e16	1.15302	0.576510	+	0.817090i	$0.304414\pi$
$398$	4.76972e16	0.601524
$399$	6.70615e16	0.832050
$400$	4.09600e15	0.0500000
$401$	−1.18519e16	−0.142348	−0.0711740	−	0.997464i	$-0.522675\pi$
$401$	−1.18519e16	−0.142348	−0.0711740	+	0.997464i	$0.522675\pi$
$402$	−8.65220e16	−1.02249
$403$	−1.73938e16	−0.202260
$404$	−1.04646e16	−0.119741
$405$	−1.24634e17	−1.40340
$406$	5.83364e16	0.646428
$407$	−2.94092e16	−0.320715
$408$	−6.83477e16	−0.733555
$409$	1.11293e16	0.117562	0.0587810	−	0.998271i	$-0.481279\pi$
$409$	1.11293e16	0.117562	0.0587810	+	0.998271i	$0.481279\pi$
$410$	−3.93906e16	−0.409541
$411$	−1.87847e17	−1.92235
$412$	−2.19604e16	−0.221212
$413$	−1.39527e17	−1.38351
$414$	2.97545e17	2.90436
$415$	−2.74584e15	−0.0263853
$416$	2.84875e15	0.0269493
$417$	−1.28165e17	−1.19367
$418$	6.58109e15	0.0603465
$419$	−8.80892e16	−0.795301	−0.397651	−	0.917537i	$-0.630174\pi$
$419$	−8.80892e16	−0.795301	−0.397651	+	0.917537i	$0.630174\pi$
$420$	6.71273e16	0.596731
$421$	−2.01114e17	−1.76039	−0.880194	−	0.474614i	$-0.842588\pi$
$421$	−2.01114e17	−1.76039	−0.880194	+	0.474614i	$0.842588\pi$
$422$	−7.45569e16	−0.642624
$423$	2.74586e17	2.33059
$424$	9.59328e15	0.0801842
$425$	2.65889e16	0.218863
$426$	2.22796e17	1.80611
$427$	1.50428e17	1.20101
$428$	1.34941e16	0.106111
$429$	1.02151e16	0.0791171
$430$	1.19073e16	0.0908380
$431$	−9.66933e16	−0.726598	−0.363299	−	0.931673i	$-0.618350\pi$
$431$	−9.66933e16	−0.726598	−0.363299	+	0.931673i	$0.618350\pi$
$432$	−1.02122e17	−0.755920
$433$	2.22831e17	1.62482	0.812409	−	0.583088i	$-0.198156\pi$
$433$	2.22831e17	1.62482	0.812409	+	0.583088i	$0.198156\pi$
$434$	−1.83829e17	−1.32048
$435$	7.78231e16	0.550717
$436$	−1.89470e16	−0.132092
$437$	−7.18540e16	−0.493539
$438$	2.61733e17	1.77124
$439$	1.01880e17	0.679313	0.339657	−	0.940549i	$-0.389689\pi$
$439$	1.01880e17	0.679313	0.339657	+	0.940549i	$0.389689\pi$
$440$	6.58755e15	0.0432794
$441$	3.93263e17	2.54584
$442$	1.84924e16	0.117964
$443$	−2.94427e17	−1.85077	−0.925387	−	0.379024i	$-0.876260\pi$
$443$	−2.94427e17	−1.85077	−0.925387	+	0.379024i	$0.876260\pi$
$444$	−1.79309e17	−1.11074
$445$	−4.81135e16	−0.293715
$446$	−1.89044e17	−1.13733
$447$	−5.78837e16	−0.343208
$448$	3.01075e16	0.175941
$449$	3.33771e16	0.192241	0.0961207	−	0.995370i	$-0.469357\pi$
$449$	3.33771e16	0.192241	0.0961207	+	0.995370i	$0.469357\pi$
$450$	6.46393e16	0.366957
$451$	−6.33515e16	−0.354494
$452$	1.52088e17	0.838873
$453$	4.38843e17	2.38600
$454$	−2.40996e17	−1.29165
$455$	−1.81623e16	−0.0959612
$456$	4.01253e16	0.209000
$457$	1.56126e17	0.801714	0.400857	−	0.916141i	$-0.368712\pi$
$457$	1.56126e17	0.801714	0.400857	+	0.916141i	$0.368712\pi$
$458$	−4.35503e16	−0.220478
$459$	−6.62918e17	−3.30885
$460$	−7.19244e16	−0.353957
$461$	−8.41462e16	−0.408299	−0.204149	−	0.978940i	$-0.565443\pi$
$461$	−8.41462e16	−0.408299	−0.204149	+	0.978940i	$0.565443\pi$
$462$	1.07960e17	0.516524
$463$	−1.20342e17	−0.567730	−0.283865	−	0.958864i	$-0.591617\pi$
$463$	−1.20342e17	−0.567730	−0.283865	+	0.958864i	$0.591617\pi$
$464$	3.49047e16	0.162374
$465$	−2.45236e17	−1.12497
$466$	−2.45851e17	−1.11215
$467$	1.41666e17	0.631986	0.315993	−	0.948762i	$-0.397662\pi$
$467$	1.41666e17	0.631986	0.315993	+	0.948762i	$0.397662\pi$
$468$	4.49563e16	0.197785
$469$	2.47410e17	1.07348
$470$	−6.63745e16	−0.284031
$471$	4.97395e17	2.09926
$472$	−8.34840e16	−0.347520
$473$	1.91503e16	0.0786283
$474$	2.94786e17	1.19385
$475$	−1.56097e16	−0.0623571
$476$	1.95441e17	0.770140
$477$	1.51392e17	0.588483
$478$	3.96005e16	0.151852
$479$	2.49670e17	0.944463	0.472231	−	0.881475i	$-0.343449\pi$
$479$	2.49670e17	0.944463	0.472231	+	0.881475i	$0.343449\pi$
$480$	4.01647e16	0.149891
$481$	4.85147e16	0.178620
$482$	1.30701e17	0.474759
$483$	−1.17873e18	−4.22434
$484$	−1.30810e17	−0.462538
$485$	6.17557e16	0.215454
$486$	−6.01051e17	−2.06907
$487$	1.29639e17	0.440349	0.220174	−	0.975461i	$-0.429337\pi$
$487$	1.29639e17	0.440349	0.220174	+	0.975461i	$0.429337\pi$
$488$	9.00062e16	0.301678
$489$	−1.01639e18	−3.36166
$490$	−9.50619e16	−0.310264
$491$	5.70242e17	1.83666	0.918331	−	0.395812i	$-0.129537\pi$
$491$	5.70242e17	1.83666	0.918331	+	0.395812i	$0.129537\pi$
$492$	−3.86258e17	−1.22773
$493$	2.26581e17	0.710754
$494$	−1.08565e16	−0.0336096
$495$	1.03959e17	0.317634
$496$	−1.09991e17	−0.331687
$497$	−6.37086e17	−1.89619
$498$	−2.69252e16	−0.0790985
$499$	3.69517e17	1.07147	0.535736	−	0.844386i	$-0.320034\pi$
$499$	3.69517e17	1.07147	0.535736	+	0.844386i	$0.320034\pi$
$500$	−1.56250e16	−0.0447214
$501$	7.34930e17	2.07635
$502$	1.58448e17	0.441889
$503$	2.38734e17	0.657237	0.328618	−	0.944463i	$-0.393417\pi$
$503$	2.38734e17	0.657237	0.328618	+	0.944463i	$0.393417\pi$
$504$	4.75129e17	1.29126
$505$	3.99192e16	0.107100
$506$	−1.15675e17	−0.306381
$507$	7.08232e17	1.85193
$508$	3.96061e16	0.102246
$509$	1.65276e16	0.0421254	0.0210627	−	0.999778i	$-0.493295\pi$
$509$	1.65276e16	0.0421254	0.0210627	+	0.999778i	$0.493295\pi$
$510$	2.60726e17	0.656111
$511$	−7.48427e17	−1.85957
$512$	1.80144e16	0.0441942
$513$	3.89184e17	0.942740
$514$	−1.47387e17	−0.352533
$515$	8.37722e16	0.197858
$516$	1.16761e17	0.272316
$517$	−1.06749e17	−0.245854
$518$	5.12736e17	1.16614
$519$	4.46241e17	1.00226
$520$	−1.08671e16	−0.0241042
$521$	−4.48738e16	−0.0982987	−0.0491493	−	0.998791i	$-0.515651\pi$
$521$	−4.48738e16	−0.0982987	−0.0491493	+	0.998791i	$0.515651\pi$
$522$	5.50834e17	1.19169
$523$	−1.29924e17	−0.277605	−0.138802	−	0.990320i	$-0.544325\pi$
$523$	−1.29924e17	−0.277605	−0.138802	+	0.990320i	$0.544325\pi$
$524$	9.94666e16	0.209906
$525$	−2.56070e17	−0.533733
$526$	9.77672e16	0.201273
$527$	−7.14001e17	−1.45188
$528$	6.45963e16	0.129744
$529$	7.58934e17	1.50571
$530$	−3.65954e16	−0.0717190
$531$	−1.31747e18	−2.55050
$532$	−1.14739e17	−0.219424
$533$	1.04508e17	0.197433
$534$	−4.71792e17	−0.880507
$535$	−5.14758e16	−0.0949081
$536$	1.48034e17	0.269644
$537$	−1.20593e18	−2.17015
$538$	2.97307e17	0.528592
$539$	−1.52887e17	−0.268561
$540$	3.89565e17	0.676116
$541$	−1.37195e17	−0.235264	−0.117632	−	0.993057i	$-0.537530\pi$
$541$	−1.37195e17	−0.235264	−0.117632	+	0.993057i	$0.537530\pi$
$542$	−6.67397e17	−1.13081
$543$	−8.61680e17	−1.44260
$544$	1.16939e17	0.193449
$545$	7.22769e16	0.118147
$546$	−1.78096e17	−0.287675
$547$	−1.89661e17	−0.302733	−0.151366	−	0.988478i	$-0.548367\pi$
$547$	−1.89661e17	−0.302733	−0.151366	+	0.988478i	$0.548367\pi$
$548$	3.21396e17	0.506951
$549$	1.42039e18	2.21406
$550$	−2.51295e16	−0.0387103
$551$	−1.33021e17	−0.202504
$552$	−7.05278e17	−1.06110
$553$	−8.42943e17	−1.25339
$554$	3.25621e17	0.478519
$555$	6.84011e17	0.993479
$556$	2.19282e17	0.314788
$557$	8.43883e17	1.19736	0.598678	−	0.800990i	$-0.295693\pi$
$557$	8.43883e17	1.19736	0.598678	+	0.800990i	$0.295693\pi$
$558$	−1.73578e18	−2.43430
$559$	−3.15913e16	−0.0437915
$560$	−1.14851e17	−0.157367
$561$	4.19322e17	0.567922
$562$	−2.47001e17	−0.330683
$563$	4.01436e17	0.531265	0.265633	−	0.964074i	$-0.414419\pi$
$563$	4.01436e17	0.531265	0.265633	+	0.964074i	$0.414419\pi$
$564$	−6.50857e17	−0.851474
$565$	−5.80171e17	−0.750311
$566$	7.86887e17	1.00602
$567$	3.49473e18	4.41696
$568$	−3.81191e17	−0.476298
$569$	4.45244e17	0.550008	0.275004	−	0.961443i	$-0.411321\pi$
$569$	4.45244e17	0.550008	0.275004	+	0.961443i	$0.411321\pi$
$570$	−1.53066e17	−0.186936
$571$	−1.34448e18	−1.62337	−0.811687	−	0.584092i	$-0.801451\pi$
$571$	−1.34448e18	−1.62337	−0.811687	+	0.584092i	$0.801451\pi$
$572$	−1.74775e16	−0.0208643
$573$	−5.11565e17	−0.603804
$574$	1.10451e18	1.28896
$575$	2.74370e17	0.316589
$576$	2.84286e17	0.324347
$577$	6.98210e17	0.787668	0.393834	−	0.919182i	$-0.371149\pi$
$577$	6.98210e17	0.787668	0.393834	+	0.919182i	$0.371149\pi$
$578$	1.25207e17	0.139669
$579$	−1.90320e18	−2.09929
$580$	−1.33151e17	−0.145232
$581$	7.69928e16	0.0830434
$582$	6.05565e17	0.645894
$583$	−5.88560e16	−0.0620791
$584$	−4.47810e17	−0.467101
$585$	−1.71495e17	−0.176904
$586$	−1.74475e17	−0.177991
$587$	−1.34934e18	−1.36136	−0.680682	−	0.732579i	$-0.738316\pi$
$587$	−1.34934e18	−1.36136	−0.680682	+	0.732579i	$0.738316\pi$
$588$	−9.32160e17	−0.930118
$589$	4.19173e17	0.413660
$590$	3.18466e17	0.310832
$591$	2.48549e18	2.39934
$592$	3.06788e17	0.292919
$593$	9.10222e17	0.859591	0.429795	−	0.902926i	$-0.358586\pi$
$593$	9.10222e17	0.859591	0.429795	+	0.902926i	$0.358586\pi$
$594$	6.26533e17	0.585238
$595$	−7.45546e17	−0.688834
$596$	9.90358e16	0.0905090
$597$	−1.78417e18	−1.61289
$598$	1.90823e17	0.170637
$599$	−6.37862e16	−0.0564225	−0.0282113	−	0.999602i	$-0.508981\pi$
$599$	−6.37862e16	−0.0564225	−0.0282113	+	0.999602i	$0.508981\pi$
$600$	−1.53216e17	−0.134067
$601$	1.55245e18	1.34380	0.671899	−	0.740643i	$-0.265479\pi$
$601$	1.55245e18	1.34380	0.671899	+	0.740643i	$0.265479\pi$
$602$	−3.33878e17	−0.285897
$603$	2.33614e18	1.97896
$604$	−7.50836e17	−0.629224
$605$	4.99002e17	0.413706
$606$	3.91441e17	0.321066
$607$	−6.56101e16	−0.0532407	−0.0266204	−	0.999646i	$-0.508475\pi$
$607$	−6.56101e16	−0.0532407	−0.0266204	+	0.999646i	$0.508475\pi$
$608$	−6.86522e16	−0.0551164
$609$	−2.18215e18	−1.73329
$610$	−3.43346e17	−0.269829
$611$	1.76099e17	0.136927
$612$	1.84542e18	1.41975
$613$	−9.51443e17	−0.724252	−0.362126	−	0.932129i	$-0.617949\pi$
$613$	−9.51443e17	−0.724252	−0.362126	+	0.932129i	$0.617949\pi$
$614$	−1.49808e18	−1.12834
$615$	1.47346e18	1.09812
$616$	−1.84714e17	−0.136215
$617$	−2.37433e18	−1.73256	−0.866279	−	0.499560i	$-0.833495\pi$
$617$	−2.37433e18	−1.73256	−0.866279	+	0.499560i	$0.833495\pi$
$618$	8.21455e17	0.593142
$619$	6.85001e17	0.489443	0.244722	−	0.969593i	$-0.421303\pi$
$619$	6.85001e17	0.489443	0.244722	+	0.969593i	$0.421303\pi$
$620$	4.19584e17	0.296670
$621$	−6.84064e18	−4.78632
$622$	1.47438e18	1.02088
$623$	1.34909e18	0.924420
$624$	−1.06561e17	−0.0722601
$625$	5.96046e16	0.0400000
$626$	−8.08468e17	−0.536945
$627$	−2.46174e17	−0.161809
$628$	−8.51015e17	−0.553604
$629$	1.99149e18	1.28218
$630$	−1.81247e18	−1.15494
$631$	−1.22371e17	−0.0771769	−0.0385884	−	0.999255i	$-0.512286\pi$
$631$	−1.22371e17	−0.0771769	−0.0385884	+	0.999255i	$0.512286\pi$
$632$	−5.04363e17	−0.314834
$633$	2.78890e18	1.72309
$634$	7.98308e17	0.488192
$635$	−1.51085e17	−0.0914519
$636$	−3.58849e17	−0.215001
$637$	2.52209e17	0.149574
$638$	−2.14145e17	−0.125711
$639$	−6.01560e18	−3.49561
$640$	−6.87195e16	−0.0395285
$641$	6.10903e17	0.347853	0.173926	−	0.984759i	$-0.444355\pi$
$641$	6.10903e17	0.347853	0.173926	+	0.984759i	$0.444355\pi$
$642$	−5.04762e17	−0.284518
$643$	3.90155e17	0.217704	0.108852	−	0.994058i	$-0.465283\pi$
$643$	3.90155e17	0.217704	0.108852	+	0.994058i	$0.465283\pi$
$644$	2.01675e18	1.11402
$645$	−4.45406e17	−0.243567
$646$	−4.45650e17	−0.241258
$647$	2.85869e18	1.53211	0.766054	−	0.642777i	$-0.222218\pi$
$647$	2.85869e18	1.53211	0.766054	+	0.642777i	$0.222218\pi$
$648$	2.09102e18	1.10948
$649$	5.12185e17	0.269052
$650$	4.14548e16	0.0215595
$651$	6.87636e18	3.54064
$652$	1.73899e18	0.886519
$653$	−3.11728e16	−0.0157340	−0.00786701	−	0.999969i	$-0.502504\pi$
$653$	−3.11728e16	−0.0157340	−0.00786701	+	0.999969i	$0.502504\pi$
$654$	7.08735e17	0.354184
$655$	−3.79435e17	−0.187745
$656$	6.60865e17	0.323771
$657$	−7.06693e18	−3.42812
$658$	1.86113e18	0.893939
$659$	−3.92322e18	−1.86590	−0.932948	−	0.360012i	$-0.882773\pi$
$659$	−3.92322e18	−1.86590	−0.932948	+	0.360012i	$0.882773\pi$
$660$	−2.46415e17	−0.116047
$661$	−4.05855e18	−1.89261	−0.946305	−	0.323276i	$-0.895216\pi$
$661$	−4.05855e18	−1.89261	−0.946305	+	0.323276i	$0.895216\pi$
$662$	−1.75452e18	−0.810178
$663$	−6.91733e17	−0.316301
$664$	4.60675e16	0.0208594
$665$	4.37693e17	0.196259
$666$	4.84145e18	2.14977
$667$	2.33809e18	1.02812
$668$	−1.25742e18	−0.547564
$669$	7.07143e18	3.04956
$670$	−5.64706e17	−0.241177
$671$	−5.52200e17	−0.233561
$672$	−1.12621e18	−0.471757
$673$	2.41914e18	1.00360	0.501802	−	0.864983i	$-0.332671\pi$
$673$	2.41914e18	1.00360	0.501802	+	0.864983i	$0.332671\pi$
$674$	−2.29963e18	−0.944862
$675$	−1.48607e18	−0.604736
$676$	−1.21174e18	−0.488380
$677$	2.21487e18	0.884140	0.442070	−	0.896981i	$-0.354244\pi$
$677$	2.21487e18	0.884140	0.442070	+	0.896981i	$0.354244\pi$
$678$	−5.68906e18	−2.24930
$679$	−1.73162e18	−0.678107
$680$	−4.46087e17	−0.173026
$681$	9.01475e18	3.46336
$682$	6.74812e17	0.256794
$683$	−3.19705e15	−0.00120508	−0.000602538	−	1.00000i	$-0.500192\pi$
$683$	−3.19705e15	−0.00120508	−0.000602538		1.00000i	$0.500192\pi$
$684$	−1.08340e18	−0.404507
$685$	−1.22603e18	−0.453431
$686$	−5.12325e16	−0.0187689
$687$	1.62905e18	0.591175
$688$	−1.99771e17	−0.0718137
$689$	9.70916e16	0.0345746
$690$	2.69042e18	0.949077
$691$	−5.07572e18	−1.77374	−0.886870	−	0.462019i	$-0.847125\pi$
$691$	−5.07572e18	−1.77374	−0.886870	+	0.462019i	$0.847125\pi$
$692$	−7.63493e17	−0.264311
$693$	−2.91498e18	−0.999699
$694$	2.10535e18	0.715301
$695$	−8.36496e17	−0.281555
$696$	−1.30566e18	−0.435380
$697$	4.28995e18	1.41723
$698$	−2.83964e18	−0.929400
$699$	9.19635e18	2.98204
$700$	4.38122e17	0.140753
$701$	−3.24686e16	−0.0103347	−0.00516733	−	0.999987i	$-0.501645\pi$
$701$	−3.24686e16	−0.0103347	−0.00516733	+	0.999987i	$0.501645\pi$
$702$	−1.03356e18	−0.325945
$703$	−1.16916e18	−0.365312
$704$	−1.10521e17	−0.0342154
$705$	2.48282e18	0.761581
$706$	−3.13768e18	−0.953626
$707$	−1.11933e18	−0.337079
$708$	3.12282e18	0.931818
$709$	−2.85428e18	−0.843911	−0.421955	−	0.906617i	$-0.638656\pi$
$709$	−2.85428e18	−0.843911	−0.421955	+	0.906617i	$0.638656\pi$
$710$	1.45413e18	0.426014
$711$	−7.95939e18	−2.31061
$712$	8.07210e17	0.232202
$713$	−7.36776e18	−2.10017
$714$	−7.31070e18	−2.06500
$715$	6.66712e16	0.0186616
$716$	2.06328e18	0.572299
$717$	−1.48131e18	−0.407165
$718$	6.21306e17	0.169238
$719$	−7.33199e18	−1.97917	−0.989587	−	0.143933i	$-0.954025\pi$
$719$	−7.33199e18	−1.97917	−0.989587	+	0.143933i	$0.954025\pi$
$720$	−1.08447e18	−0.290105
$721$	−2.34896e18	−0.622724
$722$	−2.42976e18	−0.638369
$723$	−4.88903e18	−1.27299
$724$	1.47429e18	0.380436
$725$	5.07931e17	0.129900
$726$	4.89312e18	1.24022
$727$	1.57026e18	0.394456	0.197228	−	0.980358i	$-0.436806\pi$
$727$	1.57026e18	0.394456	0.197228	+	0.980358i	$0.436806\pi$
$728$	3.04712e17	0.0758640
$729$	9.76577e18	2.40978
$730$	1.70826e18	0.417788
$731$	−1.29680e18	−0.314347
$732$	−3.36680e18	−0.808900
$733$	7.82098e18	1.86245	0.931226	−	0.364442i	$-0.118740\pi$
$733$	7.82098e18	1.86245	0.931226	+	0.364442i	$0.118740\pi$
$734$	4.43367e18	1.04650
$735$	3.55591e18	0.831922
$736$	1.20669e18	0.279828
$737$	−9.08210e17	−0.208760
$738$	1.04292e19	2.37620
$739$	−1.93474e18	−0.436952	−0.218476	−	0.975842i	$-0.570109\pi$
$739$	−1.93474e18	−0.436952	−0.218476	+	0.975842i	$0.570109\pi$
$740$	−1.17031e18	−0.261995
$741$	4.06100e17	0.0901187
$742$	1.02613e18	0.225723
$743$	4.86042e18	1.05986	0.529928	−	0.848043i	$-0.322219\pi$
$743$	4.86042e18	1.05986	0.529928	+	0.848043i	$0.322219\pi$
$744$	4.11437e18	0.889363
$745$	−3.77792e17	−0.0809537
$746$	−4.08581e18	−0.867911
$747$	7.26995e17	0.153090
$748$	−7.17436e17	−0.149769
$749$	1.44337e18	0.298708
$750$	5.84473e17	0.119913
$751$	−3.33152e18	−0.677615	−0.338808	−	0.940856i	$-0.610024\pi$
$751$	−3.33152e18	−0.677615	−0.338808	+	0.940856i	$0.610024\pi$
$752$	1.11358e18	0.224546
$753$	−5.92695e18	−1.18485
$754$	3.53264e17	0.0700141
$755$	2.86421e18	0.562795
$756$	−1.09233e19	−2.12796
$757$	8.05148e18	1.55508	0.777540	−	0.628834i	$-0.216467\pi$
$757$	8.05148e18	1.55508	0.777540	+	0.628834i	$0.216467\pi$
$758$	1.86042e18	0.356254
$759$	4.32698e18	0.821510
$760$	2.61887e17	0.0492976
$761$	7.44747e18	1.38998	0.694990	−	0.719019i	$-0.255409\pi$
$761$	7.44747e18	1.38998	0.694990	+	0.719019i	$0.255409\pi$
$762$	−1.48151e18	−0.274157
$763$	−2.02663e18	−0.371848
$764$	8.75260e17	0.159232
$765$	−7.03973e18	−1.26986
$766$	2.91541e17	0.0521451
$767$	−8.44925e17	−0.149847
$768$	−6.73851e17	−0.118499
$769$	−1.23363e18	−0.215112	−0.107556	−	0.994199i	$-0.534303\pi$
$769$	−1.23363e18	−0.215112	−0.107556	+	0.994199i	$0.534303\pi$
$770$	7.04626e17	0.121834
$771$	5.51320e18	0.945258
$772$	3.25626e18	0.553614
$773$	−8.59572e18	−1.44916	−0.724579	−	0.689192i	$-0.757966\pi$
$773$	−8.59572e18	−1.44916	−0.724579	+	0.689192i	$0.757966\pi$
$774$	−3.15260e18	−0.527051
$775$	−1.60059e18	−0.265349
$776$	−1.03609e18	−0.170332
$777$	−1.91795e19	−3.12681
$778$	−3.38910e18	−0.547920
$779$	−2.51853e18	−0.403788
$780$	4.06498e17	0.0646314
$781$	2.33866e18	0.368752
$782$	7.83314e18	1.22488
$783$	−1.26638e19	−1.96387
$784$	1.59487e18	0.245285
$785$	3.24636e18	0.495159
$786$	−3.72067e18	−0.562827
$787$	3.05106e18	0.457736	0.228868	−	0.973458i	$-0.426498\pi$
$787$	3.05106e18	0.457736	0.228868	+	0.973458i	$0.426498\pi$
$788$	−4.25253e18	−0.632742
$789$	−3.65710e18	−0.539681
$790$	1.92399e18	0.281597
$791$	1.62679e19	2.36148
$792$	−1.74414e18	−0.251111
$793$	9.10935e17	0.130080
$794$	5.75645e18	0.815308
$795$	1.36890e18	0.192302
$796$	3.05262e18	0.425342
$797$	−2.18626e18	−0.302151	−0.151075	−	0.988522i	$-0.548274\pi$
$797$	−2.18626e18	−0.302151	−0.151075	+	0.988522i	$0.548274\pi$
$798$	4.29194e18	0.588349
$799$	7.22871e18	0.982894
$800$	2.62144e17	0.0353553
$801$	1.27386e19	1.70417
$802$	−7.58524e17	−0.100655
$803$	2.74738e18	0.361632
$804$	−5.53741e18	−0.723007
$805$	−7.69328e18	−0.996411
$806$	−1.11320e18	−0.143020
$807$	−1.11211e19	−1.41733
$808$	−6.69734e17	−0.0846698
$809$	−1.45484e19	−1.82452	−0.912262	−	0.409607i	$-0.865666\pi$
$809$	−1.45484e19	−1.82452	−0.912262	+	0.409607i	$0.865666\pi$
$810$	−7.97661e18	−0.992352
$811$	−5.20368e18	−0.642207	−0.321103	−	0.947044i	$-0.604054\pi$
$811$	−5.20368e18	−0.642207	−0.321103	+	0.947044i	$0.604054\pi$
$812$	3.73353e18	0.457094
$813$	2.49648e19	3.03208
$814$	−1.88219e18	−0.226780
$815$	−6.63372e18	−0.792927
$816$	−4.37425e18	−0.518702
$817$	7.61319e17	0.0895619
$818$	7.12276e17	0.0831289
$819$	4.80868e18	0.556776
$820$	−2.52100e18	−0.289590
$821$	−9.66965e17	−0.110200	−0.0550998	−	0.998481i	$-0.517548\pi$
$821$	−9.66965e17	−0.110200	−0.0550998	+	0.998481i	$0.517548\pi$
$822$	−1.20222e19	−1.35931
$823$	−1.56025e19	−1.75023	−0.875115	−	0.483915i	$-0.839214\pi$
$823$	−1.56025e19	−1.75023	−0.875115	+	0.483915i	$0.839214\pi$
$824$	−1.40546e18	−0.156420
$825$	9.40000e17	0.103795
$826$	−8.92973e18	−0.978291
$827$	1.72346e19	1.87333	0.936665	−	0.350227i	$-0.113895\pi$
$827$	1.72346e19	1.87333	0.936665	+	0.350227i	$0.113895\pi$
$828$	1.90429e19	2.05369
$829$	−8.58684e17	−0.0918817	−0.0459408	−	0.998944i	$-0.514629\pi$
$829$	−8.58684e17	−0.0918817	−0.0459408	+	0.998944i	$0.514629\pi$
$830$	−1.75734e17	−0.0186572
$831$	−1.21803e19	−1.28307
$832$	1.82320e17	0.0190560
$833$	1.03530e19	1.07368
$834$	−8.20253e18	−0.844051
$835$	4.79669e18	0.489756
$836$	4.21190e17	0.0426714
$837$	3.99061e19	4.01166
$838$	−5.63771e18	−0.562363
$839$	4.83026e18	0.478098	0.239049	−	0.971007i	$-0.423164\pi$
$839$	4.83026e18	0.478098	0.239049	+	0.971007i	$0.423164\pi$
$840$	4.29615e18	0.421953
$841$	−5.93221e18	−0.578153
$842$	−1.28713e19	−1.24478
$843$	9.23937e18	0.886672
$844$	−4.77164e18	−0.454404
$845$	4.62244e18	0.436820
$846$	1.75735e19	1.64797
$847$	−1.39919e19	−1.30207
$848$	6.13970e17	0.0566988
$849$	−2.94345e19	−2.69747
$850$	1.70169e18	0.154759
$851$	2.05502e19	1.85470
$852$	1.42589e19	1.27711
$853$	2.19395e19	1.95011	0.975053	−	0.221974i	$-0.0712500\pi$
$853$	2.19395e19	1.95011	0.975053	+	0.221974i	$0.0712500\pi$
$854$	9.62737e18	0.849242
$855$	4.13286e18	0.361802
$856$	8.63620e17	0.0750315
$857$	−1.41805e19	−1.22269	−0.611346	−	0.791363i	$-0.709372\pi$
$857$	−1.41805e19	−1.22269	−0.611346	+	0.791363i	$0.709372\pi$
$858$	6.53766e17	0.0559442
$859$	6.43744e17	0.0546710	0.0273355	−	0.999626i	$-0.491298\pi$
$859$	6.43744e17	0.0546710	0.0273355	+	0.999626i	$0.491298\pi$
$860$	7.62065e17	0.0642321
$861$	−4.13154e19	−3.45614
$862$	−6.18837e18	−0.513782
$863$	−2.43446e18	−0.200601	−0.100300	−	0.994957i	$-0.531980\pi$
$863$	−2.43446e18	−0.200601	−0.100300	+	0.994957i	$0.531980\pi$
$864$	−6.53582e18	−0.534516
$865$	2.91250e18	0.236407
$866$	1.42612e19	1.14892
$867$	−4.68354e18	−0.374499
$868$	−1.17651e19	−0.933718
$869$	3.09433e18	0.243747
$870$	4.98068e18	0.389416
$871$	1.49823e18	0.116268
$872$	−1.21261e18	−0.0934034
$873$	−1.63506e19	−1.25009
$874$	−4.59865e18	−0.348985
$875$	−1.67130e18	−0.125893
$876$	1.67509e19	1.25245
$877$	−2.47348e18	−0.183574	−0.0917869	−	0.995779i	$-0.529258\pi$
$877$	−2.47348e18	−0.183574	−0.0917869	+	0.995779i	$0.529258\pi$
$878$	6.52033e18	0.480347
$879$	6.52644e18	0.477253
$880$	4.21603e17	0.0306032
$881$	−8.15043e18	−0.587269	−0.293634	−	0.955918i	$-0.594865\pi$
$881$	−8.15043e18	−0.587269	−0.293634	+	0.955918i	$0.594865\pi$
$882$	2.51688e19	1.80018
$883$	2.82301e18	0.200432	0.100216	−	0.994966i	$-0.468047\pi$
$883$	2.82301e18	0.200432	0.100216	+	0.994966i	$0.468047\pi$
$884$	1.18352e18	0.0834131
$885$	−1.19126e19	−0.833444
$886$	−1.88433e19	−1.30869
$887$	−6.46153e18	−0.445484	−0.222742	−	0.974877i	$-0.571501\pi$
$887$	−6.46153e18	−0.445484	−0.222742	+	0.974877i	$0.571501\pi$
$888$	−1.14758e19	−0.785415
$889$	4.23640e18	0.287830
$890$	−3.07926e18	−0.207688
$891$	−1.28287e19	−0.858968
$892$	−1.20988e19	−0.804213
$893$	−4.24381e18	−0.280041
$894$	−3.70456e18	−0.242685
$895$	−7.87078e18	−0.511880
$896$	1.92688e18	0.124409
$897$	−7.13798e18	−0.457535
$898$	2.13613e18	0.135935
$899$	−1.36397e19	−0.861719
$900$	4.13691e18	0.259478
$901$	3.98554e18	0.248185
$902$	−4.05449e18	−0.250665
$903$	1.24891e19	0.766586
$904$	9.73366e18	0.593173
$905$	−5.62395e18	−0.340272
$906$	2.80860e19	1.68716
$907$	2.64134e19	1.57535	0.787675	−	0.616091i	$-0.211284\pi$
$907$	2.64134e19	1.57535	0.787675	+	0.616091i	$0.211284\pi$
$908$	−1.54237e19	−0.913338
$909$	−1.05691e19	−0.621403
$910$	−1.16238e18	−0.0678548
$911$	−3.58165e18	−0.207593	−0.103797	−	0.994599i	$-0.533099\pi$
$911$	−3.58165e18	−0.207593	−0.103797	+	0.994599i	$0.533099\pi$
$912$	2.56802e18	0.147786
$913$	−2.82630e17	−0.0161495
$914$	9.99205e18	0.566897
$915$	1.28433e19	0.723502
$916$	−2.78722e18	−0.155901
$917$	1.06393e19	0.590897
$918$	−4.24268e19	−2.33971
$919$	2.98362e19	1.63377	0.816887	−	0.576797i	$-0.195698\pi$
$919$	2.98362e19	1.63377	0.816887	+	0.576797i	$0.195698\pi$
$920$	−4.60316e18	−0.250285
$921$	5.60375e19	3.02546
$922$	−5.38535e18	−0.288711
$923$	−3.85796e18	−0.205374
$924$	6.90944e18	0.365237
$925$	4.46436e18	0.234335
$926$	−7.70191e18	−0.401446
$927$	−2.21797e19	−1.14799
$928$	2.23390e18	0.114816
$929$	1.21729e19	0.621285	0.310643	−	0.950527i	$-0.399456\pi$
$929$	1.21729e19	0.621285	0.310643	+	0.950527i	$0.399456\pi$
$930$	−1.56951e19	−0.795471
$931$	−6.07800e18	−0.305906
$932$	−1.57344e19	−0.786408
$933$	−5.51512e19	−2.73731
$934$	9.06665e18	0.446881
$935$	2.73680e18	0.133958
$936$	2.87721e18	0.139855
$937$	−1.59657e19	−0.770693	−0.385346	−	0.922772i	$-0.625918\pi$
$937$	−1.59657e19	−0.770693	−0.385346	+	0.922772i	$0.625918\pi$
$938$	1.58343e19	0.759065
$939$	3.02418e19	1.43973
$940$	−4.24797e18	−0.200840
$941$	−2.52390e19	−1.18506	−0.592528	−	0.805550i	$-0.701870\pi$
$941$	−2.52390e19	−1.18506	−0.592528	+	0.805550i	$0.701870\pi$
$942$	3.18333e19	1.48440
$943$	4.42680e19	2.05005
$944$	−5.34298e18	−0.245734
$945$	4.16692e19	1.90331
$946$	1.22562e18	0.0555986
$947$	1.46021e19	0.657871	0.328936	−	0.944352i	$-0.393310\pi$
$947$	1.46021e19	0.657871	0.328936	+	0.944352i	$0.393310\pi$
$948$	1.88663e19	0.844177
$949$	−4.53220e18	−0.201409
$950$	−9.99020e17	−0.0440931
$951$	−2.98617e19	−1.30901
$952$	1.25082e19	0.544571
$953$	−3.26295e19	−1.41093	−0.705467	−	0.708743i	$-0.749263\pi$
$953$	−3.26295e19	−1.41093	−0.705467	+	0.708743i	$0.749263\pi$
$954$	9.68910e18	0.416120
$955$	−3.33885e18	−0.142421
$956$	2.53443e18	0.107375
$957$	8.01037e18	0.337074
$958$	1.59789e19	0.667836
$959$	3.43776e19	1.42710
$960$	2.57054e18	0.105989
$961$	1.85636e19	0.760258
$962$	3.10494e18	0.126304
$963$	1.36289e19	0.550666
$964$	8.36486e18	0.335705
$965$	−1.24217e19	−0.495167
$966$	−7.54390e19	−2.98706
$967$	−4.69273e19	−1.84567	−0.922834	−	0.385198i	$-0.874133\pi$
$967$	−4.69273e19	−1.84567	−0.922834	+	0.385198i	$0.874133\pi$
$968$	−8.37186e18	−0.327064
$969$	1.66701e19	0.646895
$970$	3.95236e18	0.152349
$971$	−1.94420e19	−0.744418	−0.372209	−	0.928149i	$-0.621400\pi$
$971$	−1.94420e19	−0.744418	−0.372209	+	0.928149i	$0.621400\pi$
$972$	−3.84672e19	−1.46305
$973$	2.34552e19	0.886146
$974$	8.29688e18	0.311373
$975$	−1.55067e18	−0.0578081
$976$	5.76040e18	0.213319
$977$	−2.11461e19	−0.777886	−0.388943	−	0.921262i	$-0.627160\pi$
$977$	−2.11461e19	−0.777886	−0.388943	+	0.921262i	$0.627160\pi$
$978$	−6.50491e19	−2.37705
$979$	−4.95234e18	−0.179772
$980$	−6.08396e18	−0.219390
$981$	−1.91362e19	−0.685500
$982$	3.64955e19	1.29872
$983$	2.93825e19	1.03870	0.519350	−	0.854562i	$-0.326174\pi$
$983$	2.93825e19	1.03870	0.519350	+	0.854562i	$0.326174\pi$
$984$	−2.47205e19	−0.868138
$985$	1.62221e19	0.565941
$986$	1.45012e19	0.502579
$987$	−6.96178e19	−2.39695
$988$	−6.94814e17	−0.0237656
$989$	−1.33816e19	−0.454708
$990$	6.65335e18	0.224601
$991$	−1.98596e18	−0.0666027	−0.0333014	−	0.999445i	$-0.510602\pi$
$991$	−1.98596e18	−0.0666027	−0.0333014	+	0.999445i	$0.510602\pi$
$992$	−7.03945e18	−0.234538
$993$	6.56298e19	2.17236
$994$	−4.07735e19	−1.34081
$995$	−1.16448e19	−0.380437
$996$	−1.72321e18	−0.0559311
$997$	4.13624e18	0.133379	0.0666895	−	0.997774i	$-0.478756\pi$
$997$	4.13624e18	0.133379	0.0666895	+	0.997774i	$0.478756\pi$
$998$	2.36491e19	0.757645
$999$	−1.11306e20	−3.54278

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	10.14.a.c.1.1	✓	1
3.2	odd	2		90.14.a.d.1.1		1
4.3	odd	2		80.14.a.c.1.1		1
5.2	odd	4		50.14.b.a.49.2		2
5.3	odd	4		50.14.b.a.49.1		2
5.4	even	2		50.14.a.b.1.1		1

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
10.14.a.c.1.1	✓	1	1.1	even	1	trivial
50.14.a.b.1.1		1	5.4	even	2
50.14.b.a.49.1		2	5.3	odd	4
50.14.b.a.49.2		2	5.2	odd	4
80.14.a.c.1.1		1	4.3	odd	2
90.14.a.d.1.1		1	3.2	odd	2

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 10 = 2 \cdot 5 \)
Weight:	\( k \)	\(=\)	\( 14 \)
Character orbit:	\([\chi]\)	\(=\)	10.a (trivial)

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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