LMFDB - Embedded newform 6.18.a.c.1.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [6,18,Mod(1,6)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(6, base_ring=CyclotomicField(2))

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

N = Newforms(chi, 18, names="a")

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

chi := DirichletCharacter("6.1");

S:= CuspForms(chi, 18);

N := Newforms(S);

Level:	$ N $	$=$	$ 6 = 2 \cdot 3 $
Weight:	$ k $	$=$	$ 18 $
Character orbit:	$[\chi]$	$=$	6.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:	$10.9933252407$
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	$\chi$	$=$	6.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$

$=$

$q+256.000 q^{2} -6561.00 q^{3} +65536.0 q^{4} -199650. q^{5} -1.67962e6 q^{6} +2.49593e7 q^{7} +1.67772e7 q^{8} +4.30467e7 q^{9} +O(q^{10})$

\(q+256.000 q^{2} -6561.00 q^{3} +65536.0 q^{4} -199650. q^{5} -1.67962e6 q^{6} +2.49593e7 q^{7} +1.67772e7 q^{8} +4.30467e7 q^{9} -5.11104e7 q^{10} +1.25556e8 q^{11} -4.29982e8 q^{12} +4.22720e9 q^{13} +6.38957e9 q^{14} +1.30990e9 q^{15} +4.29497e9 q^{16} +3.55518e10 q^{17} +1.10200e10 q^{18} -6.43546e10 q^{19} -1.30843e10 q^{20} -1.63758e11 q^{21} +3.21424e10 q^{22} -2.45819e11 q^{23} -1.10075e11 q^{24} -7.23079e11 q^{25} +1.08216e12 q^{26} -2.82430e11 q^{27} +1.63573e12 q^{28} -2.28039e12 q^{29} +3.35335e11 q^{30} +4.34996e12 q^{31} +1.09951e12 q^{32} -8.23776e11 q^{33} +9.10126e12 q^{34} -4.98312e12 q^{35} +2.82111e12 q^{36} +2.07704e13 q^{37} -1.64748e13 q^{38} -2.77346e13 q^{39} -3.34957e12 q^{40} -9.76248e13 q^{41} -4.19220e13 q^{42} +7.61376e13 q^{43} +8.22847e12 q^{44} -8.59428e12 q^{45} -6.29297e13 q^{46} +2.96069e14 q^{47} -2.81793e13 q^{48} +3.90334e14 q^{49} -1.85108e14 q^{50} -2.33255e14 q^{51} +2.77033e14 q^{52} -2.13113e14 q^{53} -7.23020e13 q^{54} -2.50673e13 q^{55} +4.18747e14 q^{56} +4.22230e14 q^{57} -5.83781e14 q^{58} -1.77669e15 q^{59} +8.58458e13 q^{60} -1.42443e15 q^{61} +1.11359e15 q^{62} +1.07441e15 q^{63} +2.81475e14 q^{64} -8.43960e14 q^{65} -2.10887e14 q^{66} -1.59965e15 q^{67} +2.32992e15 q^{68} +1.61282e15 q^{69} -1.27568e15 q^{70} +5.43939e15 q^{71} +7.22204e14 q^{72} -3.72506e15 q^{73} +5.31723e15 q^{74} +4.74412e15 q^{75} -4.21754e15 q^{76} +3.13380e15 q^{77} -7.10007e15 q^{78} +1.02827e16 q^{79} -8.57490e14 q^{80} +1.85302e15 q^{81} -2.49920e16 q^{82} -2.94578e16 q^{83} -1.07320e16 q^{84} -7.09791e15 q^{85} +1.94912e16 q^{86} +1.49617e16 q^{87} +2.10649e15 q^{88} -4.34145e16 q^{89} -2.20014e15 q^{90} +1.05508e17 q^{91} -1.61100e16 q^{92} -2.85401e16 q^{93} +7.57938e16 q^{94} +1.28484e16 q^{95} -7.21390e15 q^{96} +3.47547e16 q^{97} +9.99256e16 q^{98} +5.40479e15 q^{99} +O(q^{100})\)

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 $

$2$	256.000	0.707107
$2$	256.000	0.707107
$3$	−6561.00	−0.577350
$3$	−6561.00	−0.577350
$4$	65536.0	0.500000
$5$	−199650.	−0.228573	−0.114286	−	0.993448i	$-0.536458\pi$
$5$	−199650.	−0.228573	−0.114286	+	0.993448i	$0.536458\pi$
$6$	−1.67962e6	−0.408248
$7$	2.49593e7	1.63643	0.818217	−	0.574910i	$-0.194963\pi$
$7$	2.49593e7	1.63643	0.818217	+	0.574910i	$0.194963\pi$
$8$	1.67772e7	0.353553
$9$	4.30467e7	0.333333
$10$	−5.11104e7	−0.161625
$11$	1.25556e8	0.176604	0.0883021	−	0.996094i	$-0.471856\pi$
$11$	1.25556e8	0.176604	0.0883021	+	0.996094i	$0.471856\pi$
$12$	−4.29982e8	−0.288675
$13$	4.22720e9	1.43726	0.718628	−	0.695395i	$-0.244771\pi$
$13$	4.22720e9	1.43726	0.718628	+	0.695395i	$0.244771\pi$
$14$	6.38957e9	1.15713
$15$	1.30990e9	0.131966
$16$	4.29497e9	0.250000
$17$	3.55518e10	1.23608	0.618039	−	0.786148i	$-0.287928\pi$
$17$	3.55518e10	1.23608	0.618039	+	0.786148i	$0.287928\pi$
$18$	1.10200e10	0.235702
$19$	−6.43546e10	−0.869308	−0.434654	−	0.900597i	$-0.643129\pi$
$19$	−6.43546e10	−0.869308	−0.434654	+	0.900597i	$0.643129\pi$
$20$	−1.30843e10	−0.114286
$21$	−1.63758e11	−0.944795
$22$	3.21424e10	0.124878
$23$	−2.45819e11	−0.654530	−0.327265	−	0.944933i	$-0.606127\pi$
$23$	−2.45819e11	−0.654530	−0.327265	+	0.944933i	$0.606127\pi$
$24$	−1.10075e11	−0.204124
$25$	−7.23079e11	−0.947755
$26$	1.08216e12	1.01629
$27$	−2.82430e11	−0.192450
$28$	1.63573e12	0.818217
$29$	−2.28039e12	−0.846500	−0.423250	−	0.906013i	$-0.639111\pi$
$29$	−2.28039e12	−0.846500	−0.423250	+	0.906013i	$0.639111\pi$
$30$	3.35335e11	0.0933144
$31$	4.34996e12	0.916033	0.458017	−	0.888944i	$-0.348560\pi$
$31$	4.34996e12	0.916033	0.458017	+	0.888944i	$0.348560\pi$
$32$	1.09951e12	0.176777
$33$	−8.23776e11	−0.101962
$34$	9.10126e12	0.874038
$35$	−4.98312e12	−0.374044
$36$	2.82111e12	0.166667
$37$	2.07704e13	0.972144	0.486072	−	0.873919i	$-0.338429\pi$
$37$	2.07704e13	0.972144	0.486072	+	0.873919i	$0.338429\pi$
$38$	−1.64748e13	−0.614694
$39$	−2.77346e13	−0.829800
$40$	−3.34957e12	−0.0808126
$41$	−9.76248e13	−1.90940	−0.954701	−	0.297566i	$-0.903825\pi$
$41$	−9.76248e13	−1.90940	−0.954701	+	0.297566i	$0.903825\pi$
$42$	−4.19220e13	−0.668071
$43$	7.61376e13	0.993384	0.496692	−	0.867927i	$-0.334548\pi$
$43$	7.61376e13	0.993384	0.496692	+	0.867927i	$0.334548\pi$
$44$	8.22847e12	0.0883021
$45$	−8.59428e12	−0.0761909
$46$	−6.29297e13	−0.462822
$47$	2.96069e14	1.81368	0.906842	−	0.421470i	$-0.138486\pi$
$47$	2.96069e14	1.81368	0.906842	+	0.421470i	$0.138486\pi$
$48$	−2.81793e13	−0.144338
$49$	3.90334e14	1.67792
$50$	−1.85108e14	−0.670164
$51$	−2.33255e14	−0.713649
$52$	2.77033e14	0.718628
$53$	−2.13113e14	−0.470182	−0.235091	−	0.971973i	$-0.575539\pi$
$53$	−2.13113e14	−0.470182	−0.235091	+	0.971973i	$0.575539\pi$
$54$	−7.23020e13	−0.136083
$55$	−2.50673e13	−0.0403669
$56$	4.18747e14	0.578567
$57$	4.22230e14	0.501895
$58$	−5.83781e14	−0.598566
$59$	−1.77669e15	−1.57532	−0.787661	−	0.616108i	$-0.788708\pi$
$59$	−1.77669e15	−1.57532	−0.787661	+	0.616108i	$0.788708\pi$
$60$	8.58458e13	0.0659832
$61$	−1.42443e15	−0.951347	−0.475673	−	0.879622i	$-0.657796\pi$
$61$	−1.42443e15	−0.951347	−0.475673	+	0.879622i	$0.657796\pi$
$62$	1.11359e15	0.647733
$63$	1.07441e15	0.545478
$64$	2.81475e14	0.125000
$65$	−8.43960e14	−0.328517
$66$	−2.10887e14	−0.0720984
$67$	−1.59965e15	−0.481271	−0.240636	−	0.970616i	$-0.577356\pi$
$67$	−1.59965e15	−0.481271	−0.240636	+	0.970616i	$0.577356\pi$
$68$	2.32992e15	0.618039
$69$	1.61282e15	0.377893
$70$	−1.27568e15	−0.264489
$71$	5.43939e15	0.999664	0.499832	−	0.866122i	$-0.333395\pi$
$71$	5.43939e15	0.999664	0.499832	+	0.866122i	$0.333395\pi$
$72$	7.22204e14	0.117851
$73$	−3.72506e15	−0.540616	−0.270308	−	0.962774i	$-0.587125\pi$
$73$	−3.72506e15	−0.540616	−0.270308	+	0.962774i	$0.587125\pi$
$74$	5.31723e15	0.687409
$75$	4.74412e15	0.547186
$76$	−4.21754e15	−0.434654
$77$	3.13380e15	0.289001
$78$	−7.10007e15	−0.586757
$79$	1.02827e16	0.762563	0.381282	−	0.924459i	$-0.375483\pi$
$79$	1.02827e16	0.762563	0.381282	+	0.924459i	$0.375483\pi$
$80$	−8.57490e14	−0.0571432
$81$	1.85302e15	0.111111
$82$	−2.49920e16	−1.35015
$83$	−2.94578e16	−1.43561	−0.717805	−	0.696245i	$-0.754853\pi$
$83$	−2.94578e16	−1.43561	−0.717805	+	0.696245i	$0.754853\pi$
$84$	−1.07320e16	−0.472398
$85$	−7.09791e15	−0.282533
$86$	1.94912e16	0.702429
$87$	1.49617e16	0.488727
$88$	2.10649e15	0.0624390
$89$	−4.34145e16	−1.16901	−0.584507	−	0.811389i	$-0.698712\pi$
$89$	−4.34145e16	−1.16901	−0.584507	+	0.811389i	$0.698712\pi$
$90$	−2.20014e15	−0.0538751
$91$	1.05508e17	2.35197
$92$	−1.61100e16	−0.327265
$93$	−2.85401e16	−0.528872
$94$	7.57938e16	1.28247
$95$	1.28484e16	0.198700
$96$	−7.21390e15	−0.102062
$97$	3.47547e16	0.450250	0.225125	−	0.974330i	$-0.427721\pi$
$97$	3.47547e16	0.450250	0.225125	+	0.974330i	$0.427721\pi$
$98$	9.99256e16	1.18647
$99$	5.40479e15	0.0588681
$100$	−4.73877e16	−0.473877
$101$	−1.89761e17	−1.74371	−0.871857	−	0.489761i	$-0.837084\pi$
$101$	−1.89761e17	−1.74371	−0.871857	+	0.489761i	$0.837084\pi$
$102$	−5.97133e16	−0.504626
$103$	−8.70093e16	−0.676783	−0.338391	−	0.941005i	$-0.609883\pi$
$103$	−8.70093e16	−0.676783	−0.338391	+	0.941005i	$0.609883\pi$
$104$	7.09206e16	0.508146
$105$	3.26942e16	0.215954
$106$	−5.45570e16	−0.332469
$107$	1.06145e17	0.597222	0.298611	−	0.954375i	$-0.403477\pi$
$107$	1.06145e17	0.597222	0.298611	+	0.954375i	$0.403477\pi$
$108$	−1.85093e16	−0.0962250
$109$	−6.85815e16	−0.329672	−0.164836	−	0.986321i	$-0.552709\pi$
$109$	−6.85815e16	−0.329672	−0.164836	+	0.986321i	$0.552709\pi$
$110$	−6.41724e15	−0.0285437
$111$	−1.36275e17	−0.561267
$112$	1.07199e17	0.409108
$113$	−1.54641e17	−0.547214	−0.273607	−	0.961842i	$-0.588217\pi$
$113$	−1.54641e17	−0.547214	−0.273607	+	0.961842i	$0.588217\pi$
$114$	1.08091e17	0.354894
$115$	4.90778e16	0.149608
$116$	−1.49448e17	−0.423250
$117$	1.81967e17	0.479085
$118$	−4.54833e17	−1.11392
$119$	8.87346e17	2.02276
$120$	2.19765e16	0.0466572
$121$	−4.89683e17	−0.968811
$122$	−3.64655e17	−0.672704
$123$	6.40516e17	1.10239
$124$	2.85079e17	0.458017
$125$	2.96684e17	0.445203
$126$	2.75050e17	0.385711
$127$	7.53012e17	0.987348	0.493674	−	0.869647i	$-0.335654\pi$
$127$	7.53012e17	0.987348	0.493674	+	0.869647i	$0.335654\pi$
$128$	7.20576e16	0.0883883
$129$	−4.99539e17	−0.573531
$130$	−2.16054e17	−0.232297
$131$	−2.99394e17	−0.301604	−0.150802	−	0.988564i	$-0.548186\pi$
$131$	−2.99394e17	−0.301604	−0.150802	+	0.988564i	$0.548186\pi$
$132$	−5.39870e16	−0.0509812
$133$	−1.60624e18	−1.42257
$134$	−4.09511e17	−0.340310
$135$	5.63871e16	0.0439888
$136$	5.96460e17	0.437019
$137$	−3.27856e17	−0.225714	−0.112857	−	0.993611i	$-0.536000\pi$
$137$	−3.27856e17	−0.225714	−0.112857	+	0.993611i	$0.536000\pi$
$138$	4.12882e17	0.267211
$139$	−1.13556e18	−0.691166	−0.345583	−	0.938388i	$-0.612319\pi$
$139$	−1.13556e18	−0.691166	−0.345583	+	0.938388i	$0.612319\pi$
$140$	−3.26574e17	−0.187022
$141$	−1.94251e18	−1.04713
$142$	1.39248e18	0.706869
$143$	5.30752e17	0.253825
$144$	1.84884e17	0.0833333
$145$	4.55280e17	0.193487
$146$	−9.53614e17	−0.382273
$147$	−2.56098e18	−0.968745
$148$	1.36121e18	0.486072
$149$	3.05562e18	1.03042	0.515212	−	0.857063i	$-0.327713\pi$
$149$	3.05562e18	1.03042	0.515212	+	0.857063i	$0.327713\pi$
$150$	1.21450e18	0.386919
$151$	5.17427e18	1.55792	0.778959	−	0.627075i	$-0.215748\pi$
$151$	5.17427e18	1.55792	0.778959	+	0.627075i	$0.215748\pi$
$152$	−1.07969e18	−0.307347
$153$	1.53039e18	0.412026
$154$	8.02252e17	0.204355
$155$	−8.68470e17	−0.209380
$156$	−1.81762e18	−0.414900
$157$	2.00149e18	0.432718	0.216359	−	0.976314i	$-0.430582\pi$
$157$	2.00149e18	0.432718	0.216359	+	0.976314i	$0.430582\pi$
$158$	2.63237e18	0.539214
$159$	1.39824e18	0.271460
$160$	−2.19517e17	−0.0404063
$161$	−6.13547e18	−1.07109
$162$	4.74373e17	0.0785674
$163$	−4.53569e18	−0.712934	−0.356467	−	0.934308i	$-0.616019\pi$
$163$	−4.53569e18	−0.712934	−0.356467	+	0.934308i	$0.616019\pi$
$164$	−6.39794e18	−0.954701
$165$	1.64467e17	0.0233058
$166$	−7.54119e18	−1.01513
$167$	−2.62098e18	−0.335254	−0.167627	−	0.985850i	$-0.553610\pi$
$167$	−2.62098e18	−0.335254	−0.167627	+	0.985850i	$0.553610\pi$
$168$	−2.74740e18	−0.334036
$169$	9.21877e18	1.06570
$170$	−1.81707e18	−0.199781
$171$	−2.77025e18	−0.289769
$172$	4.98975e18	0.496692
$173$	1.32564e19	1.25613	0.628064	−	0.778162i	$-0.283848\pi$
$173$	1.32564e19	1.25613	0.628064	+	0.778162i	$0.283848\pi$
$174$	3.83018e18	0.345582
$175$	−1.80475e19	−1.55094
$176$	5.39261e17	0.0441511
$177$	1.16569e19	0.909513
$178$	−1.11141e19	−0.826618
$179$	2.49021e18	0.176598	0.0882990	−	0.996094i	$-0.471857\pi$
$179$	2.49021e18	0.176598	0.0882990	+	0.996094i	$0.471857\pi$
$180$	−5.63235e17	−0.0380954
$181$	−7.68027e18	−0.495574	−0.247787	−	0.968815i	$-0.579703\pi$
$181$	−7.68027e18	−0.495574	−0.247787	+	0.968815i	$0.579703\pi$
$182$	2.70100e19	1.66310
$183$	9.34571e18	0.549260
$184$	−4.12416e18	−0.231411
$185$	−4.14681e18	−0.222205
$186$	−7.30627e18	−0.373969
$187$	4.46375e18	0.218296
$188$	1.94032e19	0.906842
$189$	−7.04923e18	−0.314932
$190$	3.28919e18	0.140502
$191$	−2.51237e19	−1.02636	−0.513181	−	0.858281i	$-0.671533\pi$
$191$	−2.51237e19	−1.02636	−0.513181	+	0.858281i	$0.671533\pi$
$192$	−1.84676e18	−0.0721688
$193$	3.06465e18	0.114589	0.0572946	−	0.998357i	$-0.481753\pi$
$193$	3.06465e18	0.114589	0.0572946	+	0.998357i	$0.481753\pi$
$194$	8.89719e18	0.318375
$195$	5.53722e18	0.189669
$196$	2.55810e19	0.838958
$197$	3.82163e18	0.120029	0.0600145	−	0.998198i	$-0.480885\pi$
$197$	3.82163e18	0.120029	0.0600145	+	0.998198i	$0.480885\pi$
$198$	1.38363e18	0.0416260
$199$	−4.25498e18	−0.122644	−0.0613220	−	0.998118i	$-0.519532\pi$
$199$	−4.25498e18	−0.122644	−0.0613220	+	0.998118i	$0.519532\pi$
$200$	−1.21313e19	−0.335082
$201$	1.04953e19	0.277862
$202$	−4.85788e19	−1.23299
$203$	−5.69169e19	−1.38524
$204$	−1.52866e19	−0.356825
$205$	1.94908e19	0.436437
$206$	−2.22744e19	−0.478558
$207$	−1.05817e19	−0.218177
$208$	1.81557e19	0.359314
$209$	−8.08013e18	−0.153524
$210$	8.36972e18	0.152703
$211$	2.02135e19	0.354194	0.177097	−	0.984193i	$-0.443329\pi$
$211$	2.02135e19	0.354194	0.177097	+	0.984193i	$0.443329\pi$
$212$	−1.39666e19	−0.235091
$213$	−3.56878e19	−0.577156
$214$	2.71730e19	0.422300
$215$	−1.52009e19	−0.227060
$216$	−4.73838e18	−0.0680414
$217$	1.08572e20	1.49903
$218$	−1.75569e19	−0.233113
$219$	2.44401e19	0.312125
$220$	−1.64281e18	−0.0201834
$221$	1.50284e20	1.77656
$222$	−3.48863e19	−0.396876
$223$	1.10814e20	1.21340	0.606700	−	0.794931i	$-0.292493\pi$
$223$	1.10814e20	1.21340	0.606700	+	0.794931i	$0.292493\pi$
$224$	2.74430e19	0.289283
$225$	−3.11262e19	−0.315918
$226$	−3.95881e19	−0.386939
$227$	1.78576e19	0.168113	0.0840567	−	0.996461i	$-0.473212\pi$
$227$	1.78576e19	0.168113	0.0840567	+	0.996461i	$0.473212\pi$
$228$	2.76713e19	0.250948
$229$	−1.69043e20	−1.47705	−0.738527	−	0.674224i	$-0.764478\pi$
$229$	−1.69043e20	−1.47705	−0.738527	+	0.674224i	$0.764478\pi$
$230$	1.25639e19	0.105789
$231$	−2.05608e19	−0.166855
$232$	−3.82586e19	−0.299283
$233$	−8.59228e19	−0.648012	−0.324006	−	0.946055i	$-0.605030\pi$
$233$	−8.59228e19	−0.648012	−0.324006	+	0.946055i	$0.605030\pi$
$234$	4.65835e19	0.338764
$235$	−5.91103e19	−0.414559
$236$	−1.16437e20	−0.787661
$237$	−6.74646e19	−0.440266
$238$	2.27161e20	1.43031
$239$	1.76167e20	1.07039	0.535195	−	0.844729i	$-0.320238\pi$
$239$	1.76167e20	1.07039	0.535195	+	0.844729i	$0.320238\pi$
$240$	5.62599e18	0.0329916
$241$	−3.05877e20	−1.73142	−0.865709	−	0.500548i	$-0.833132\pi$
$241$	−3.05877e20	−1.73142	−0.865709	+	0.500548i	$0.833132\pi$
$242$	−1.25359e20	−0.685053
$243$	−1.21577e19	−0.0641500
$244$	−9.33517e19	−0.475673
$245$	−7.79303e19	−0.383526
$246$	1.63972e20	0.779510
$247$	−2.72039e20	−1.24942
$248$	7.29803e19	0.323867
$249$	1.93273e20	0.828849
$250$	7.59510e19	0.314806
$251$	1.19908e20	0.480421	0.240210	−	0.970721i	$-0.422784\pi$
$251$	1.19908e20	0.480421	0.240210	+	0.970721i	$0.422784\pi$
$252$	7.04128e19	0.272739
$253$	−3.08642e19	−0.115593
$254$	1.92771e20	0.698161
$255$	4.65694e19	0.163121
$256$	1.84467e19	0.0625000
$257$	7.78435e18	0.0255147	0.0127574	−	0.999919i	$-0.495939\pi$
$257$	7.78435e18	0.0255147	0.0127574	+	0.999919i	$0.495939\pi$
$258$	−1.27882e20	−0.405547
$259$	5.18414e20	1.59085
$260$	−5.53097e19	−0.164259
$261$	−9.81634e19	−0.282167
$262$	−7.66449e19	−0.213266
$263$	1.56473e20	0.421517	0.210759	−	0.977538i	$-0.432407\pi$
$263$	1.56473e20	0.421517	0.210759	+	0.977538i	$0.432407\pi$
$264$	−1.38207e19	−0.0360492
$265$	4.25481e19	0.107471
$266$	−4.11198e20	−1.00591
$267$	2.84843e20	0.674931
$268$	−1.04835e20	−0.240636
$269$	3.68370e19	0.0819199	0.0409599	−	0.999161i	$-0.486958\pi$
$269$	3.68370e19	0.0819199	0.0409599	+	0.999161i	$0.486958\pi$
$270$	1.44351e19	0.0311048
$271$	1.58572e20	0.331122	0.165561	−	0.986200i	$-0.447057\pi$
$271$	1.58572e20	0.331122	0.165561	+	0.986200i	$0.447057\pi$
$272$	1.52694e20	0.309019
$273$	−6.92236e20	−1.35791
$274$	−8.39312e19	−0.159604
$275$	−9.07873e19	−0.167377
$276$	1.05698e20	0.188946
$277$	−7.00391e20	−1.21412	−0.607061	−	0.794655i	$-0.707652\pi$
$277$	−7.00391e20	−1.21412	−0.607061	+	0.794655i	$0.707652\pi$
$278$	−2.90702e20	−0.488728
$279$	1.87252e20	0.305344
$280$	−8.36028e19	−0.132245
$281$	1.08713e21	1.66831	0.834157	−	0.551527i	$-0.185955\pi$
$281$	1.08713e21	1.66831	0.834157	+	0.551527i	$0.185955\pi$
$282$	−4.97283e20	−0.740434
$283$	8.86302e20	1.28055	0.640276	−	0.768145i	$-0.278820\pi$
$283$	8.86302e20	1.28055	0.640276	+	0.768145i	$0.278820\pi$
$284$	3.56476e20	0.499832
$285$	−8.42983e19	−0.114720
$286$	1.35872e20	0.179482
$287$	−2.43664e21	−3.12461
$288$	4.73304e19	0.0589256
$289$	4.36689e20	0.527887
$290$	1.16552e20	0.136816
$291$	−2.28025e20	−0.259952
$292$	−2.44125e20	−0.270308
$293$	−1.14105e19	−0.0122725	−0.00613623	−	0.999981i	$-0.501953\pi$
$293$	−1.14105e19	−0.0122725	−0.00613623	+	0.999981i	$0.501953\pi$
$294$	−6.55612e20	−0.685006
$295$	3.54716e20	0.360076
$296$	3.48470e20	0.343705
$297$	−3.54608e19	−0.0339875
$298$	7.82239e20	0.728620
$299$	−1.03913e21	−0.940726
$300$	3.10911e20	0.273593
$301$	1.90034e21	1.62561
$302$	1.32461e21	1.10161
$303$	1.24502e21	1.00673
$304$	−2.76401e20	−0.217327
$305$	2.84388e20	0.217452
$306$	3.91779e20	0.291346
$307$	−1.58859e21	−1.14904	−0.574520	−	0.818491i	$-0.694811\pi$
$307$	−1.58859e21	−1.14904	−0.574520	+	0.818491i	$0.694811\pi$
$308$	2.05376e20	0.144501
$309$	5.70868e20	0.390741
$310$	−2.22328e20	−0.148054
$311$	9.60760e20	0.622517	0.311259	−	0.950325i	$-0.399249\pi$
$311$	9.60760e20	0.622517	0.311259	+	0.950325i	$0.399249\pi$
$312$	−4.65310e20	−0.293378
$313$	−1.31826e21	−0.808863	−0.404431	−	0.914568i	$-0.632531\pi$
$313$	−1.31826e21	−0.808863	−0.404431	+	0.914568i	$0.632531\pi$
$314$	5.12380e20	0.305978
$315$	−2.14507e20	−0.124681
$316$	6.73886e20	0.381282
$317$	−1.72118e21	−0.948033	−0.474016	−	0.880516i	$-0.657196\pi$
$317$	−1.72118e21	−0.948033	−0.474016	+	0.880516i	$0.657196\pi$
$318$	3.57949e20	0.191951
$319$	−2.86318e20	−0.149495
$320$	−5.61965e19	−0.0285716
$321$	−6.96415e20	−0.344806
$322$	−1.57068e21	−0.757378
$323$	−2.28792e21	−1.07453
$324$	1.21440e20	0.0555556
$325$	−3.05660e21	−1.36216
$326$	−1.16114e21	−0.504120
$327$	4.49963e20	0.190336
$328$	−1.63787e21	−0.675076
$329$	7.38967e21	2.96797
$330$	4.21035e19	0.0164797
$331$	−1.19541e21	−0.456013	−0.228007	−	0.973660i	$-0.573221\pi$
$331$	−1.19541e21	−0.456013	−0.228007	+	0.973660i	$0.573221\pi$
$332$	−1.93055e21	−0.717805
$333$	8.94098e20	0.324048
$334$	−6.70972e20	−0.237061
$335$	3.19371e20	0.110005
$336$	−7.03334e20	−0.236199
$337$	2.00191e21	0.655528	0.327764	−	0.944760i	$-0.393705\pi$
$337$	2.00191e21	0.655528	0.327764	+	0.944760i	$0.393705\pi$
$338$	2.36000e21	0.753565
$339$	1.01460e21	0.315934
$340$	−4.65169e20	−0.141267
$341$	5.46166e20	0.161775
$342$	−7.09185e20	−0.204898
$343$	3.93617e21	1.10936
$344$	1.27738e21	0.351214
$345$	−3.22000e20	−0.0863760
$346$	3.39364e21	0.888216
$347$	−2.26370e21	−0.578121	−0.289061	−	0.957311i	$-0.593343\pi$
$347$	−2.26370e21	−0.578121	−0.289061	+	0.957311i	$0.593343\pi$
$348$	9.80527e20	0.244363
$349$	4.35621e20	0.105948	0.0529740	−	0.998596i	$-0.483130\pi$
$349$	4.35621e20	0.105948	0.0529740	+	0.998596i	$0.483130\pi$
$350$	−4.62017e21	−1.09668
$351$	−1.19388e21	−0.276600
$352$	1.38051e20	0.0312195
$353$	7.79583e21	1.72099	0.860493	−	0.509462i	$-0.170156\pi$
$353$	7.79583e21	1.72099	0.860493	+	0.509462i	$0.170156\pi$
$354$	2.98416e21	0.643123
$355$	−1.08597e21	−0.228496
$356$	−2.84521e21	−0.584507
$357$	−5.82188e21	−1.16784
$358$	6.37495e20	0.124874
$359$	−7.59514e21	−1.45289	−0.726445	−	0.687225i	$-0.758829\pi$
$359$	−7.59514e21	−1.45289	−0.726445	+	0.687225i	$0.758829\pi$
$360$	−1.44188e20	−0.0269375
$361$	−1.33887e21	−0.244303
$362$	−1.96615e21	−0.350424
$363$	3.21281e21	0.559343
$364$	6.91455e21	1.17599
$365$	7.43707e20	0.123570
$366$	2.39250e21	0.388386
$367$	7.06569e20	0.112071	0.0560355	−	0.998429i	$-0.482154\pi$
$367$	7.06569e20	0.112071	0.0560355	+	0.998429i	$0.482154\pi$
$368$	−1.05579e21	−0.163632
$369$	−4.20243e21	−0.636467
$370$	−1.06158e21	−0.157123
$371$	−5.31915e21	−0.769421
$372$	−1.87041e21	−0.264436
$373$	−5.09047e21	−0.703450	−0.351725	−	0.936103i	$-0.614405\pi$
$373$	−5.09047e21	−0.703450	−0.351725	+	0.936103i	$0.614405\pi$
$374$	1.14272e21	0.154359
$375$	−1.94654e21	−0.257038
$376$	4.96722e21	0.641234
$377$	−9.63967e21	−1.21664
$378$	−1.80460e21	−0.222690
$379$	1.36870e22	1.65148	0.825741	−	0.564049i	$-0.190757\pi$
$379$	1.36870e22	1.65148	0.825741	+	0.564049i	$0.190757\pi$
$380$	8.42032e20	0.0993501
$381$	−4.94051e21	−0.570046
$382$	−6.43167e21	−0.725747
$383$	7.62281e21	0.841250	0.420625	−	0.907235i	$-0.361811\pi$
$383$	7.62281e21	0.841250	0.420625	+	0.907235i	$0.361811\pi$
$384$	−4.72770e20	−0.0510310
$385$	−6.25662e20	−0.0660578
$386$	7.84550e20	0.0810267
$387$	3.27747e21	0.331128
$388$	2.27768e21	0.225125
$389$	1.43420e22	1.38688	0.693439	−	0.720515i	$-0.256095\pi$
$389$	1.43420e22	1.38688	0.693439	+	0.720515i	$0.256095\pi$
$390$	1.41753e21	0.134117
$391$	−8.73931e21	−0.809049
$392$	6.54872e21	0.593233
$393$	1.96433e21	0.174131
$394$	9.78338e20	0.0848733
$395$	−2.05294e21	−0.174301
$396$	3.54208e20	0.0294340
$397$	−2.13693e22	−1.73809	−0.869043	−	0.494736i	$-0.835265\pi$
$397$	−2.13693e22	−1.73809	−0.869043	+	0.494736i	$0.835265\pi$
$398$	−1.08927e21	−0.0867224
$399$	1.05386e22	0.821319
$400$	−3.10560e21	−0.236939
$401$	2.56290e22	1.91427	0.957137	−	0.289634i	$-0.0935337\pi$
$401$	2.56290e22	1.91427	0.957137	+	0.289634i	$0.0935337\pi$
$402$	2.68680e21	0.196478
$403$	1.83882e22	1.31657
$404$	−1.24362e22	−0.871857
$405$	−3.69955e20	−0.0253970
$406$	−1.45707e22	−0.979513
$407$	2.60786e21	0.171685
$408$	−3.91337e21	−0.252313
$409$	1.10878e22	0.700160	0.350080	−	0.936720i	$-0.386154\pi$
$409$	1.10878e22	0.700160	0.350080	+	0.936720i	$0.386154\pi$
$410$	4.98964e21	0.308608
$411$	2.15106e21	0.130316
$412$	−5.70224e21	−0.338391
$413$	−4.43449e22	−2.57791
$414$	−2.70892e21	−0.154274
$415$	5.88125e21	0.328141
$416$	4.64785e21	0.254073
$417$	7.45038e21	0.399045
$418$	−2.06851e21	−0.108558
$419$	1.68940e22	0.868786	0.434393	−	0.900724i	$-0.356963\pi$
$419$	1.68940e22	0.868786	0.434393	+	0.900724i	$0.356963\pi$
$420$	2.14265e21	0.107977
$421$	−2.65753e22	−1.31244	−0.656222	−	0.754568i	$-0.727846\pi$
$421$	−2.65753e22	−1.31244	−0.656222	+	0.754568i	$0.727846\pi$
$422$	5.17466e21	0.250453
$423$	1.27448e22	0.604561
$424$	−3.57545e21	−0.166234
$425$	−2.57068e22	−1.17150
$426$	−9.13608e21	−0.408111
$427$	−3.55528e22	−1.55682
$428$	6.95629e21	0.298611
$429$	−3.48226e21	−0.146546
$430$	−3.89142e21	−0.160556
$431$	−3.44573e22	−1.39388	−0.696938	−	0.717131i	$-0.745455\pi$
$431$	−3.44573e22	−1.39388	−0.696938	+	0.717131i	$0.745455\pi$
$432$	−1.21303e21	−0.0481125
$433$	2.68469e22	1.04411	0.522057	−	0.852911i	$-0.325165\pi$
$433$	2.68469e22	1.04411	0.522057	+	0.852911i	$0.325165\pi$
$434$	2.77944e22	1.05997
$435$	−2.98710e21	−0.111710
$436$	−4.49456e21	−0.164836
$437$	1.58196e22	0.568988
$438$	6.25666e21	0.220705
$439$	4.41853e22	1.52873	0.764363	−	0.644786i	$-0.223054\pi$
$439$	4.41853e22	1.52873	0.764363	+	0.644786i	$0.223054\pi$
$440$	−4.20560e20	−0.0142719
$441$	1.68026e22	0.559305
$442$	3.84728e22	1.25622
$443$	2.46273e21	0.0788833	0.0394417	−	0.999222i	$-0.487442\pi$
$443$	2.46273e21	0.0788833	0.0394417	+	0.999222i	$0.487442\pi$
$444$	−8.93090e21	−0.280634
$445$	8.66771e21	0.267205
$446$	2.83684e22	0.858004
$447$	−2.00479e22	−0.594916
$448$	7.02541e21	0.204554
$449$	2.95113e22	0.843130	0.421565	−	0.906798i	$-0.361481\pi$
$449$	2.95113e22	0.843130	0.421565	+	0.906798i	$0.361481\pi$
$450$	−7.96831e21	−0.223388
$451$	−1.22574e22	−0.337209
$452$	−1.01345e22	−0.273607
$453$	−3.39484e22	−0.899465
$454$	4.57153e21	0.118874
$455$	−2.10646e22	−0.537597
$456$	7.08385e21	0.177447
$457$	3.29681e22	0.810600	0.405300	−	0.914184i	$-0.367167\pi$
$457$	3.29681e22	0.810600	0.405300	+	0.914184i	$0.367167\pi$
$458$	−4.32751e22	−1.04443
$459$	−1.00409e22	−0.237883
$460$	3.21636e21	0.0748038
$461$	1.90676e22	0.435350	0.217675	−	0.976021i	$-0.430153\pi$
$461$	1.90676e22	0.435350	0.217675	+	0.976021i	$0.430153\pi$
$462$	−5.26357e21	−0.117984
$463$	−1.48046e22	−0.325804	−0.162902	−	0.986642i	$-0.552085\pi$
$463$	−1.48046e22	−0.325804	−0.162902	+	0.986642i	$0.552085\pi$
$464$	−9.79421e21	−0.211625
$465$	5.69803e21	0.120886
$466$	−2.19962e22	−0.458214
$467$	−5.07216e22	−1.03753	−0.518763	−	0.854918i	$-0.673607\pi$
$467$	−5.07216e22	−1.03753	−0.518763	+	0.854918i	$0.673607\pi$
$468$	1.19254e22	0.239543
$469$	−3.99262e22	−0.787569
$470$	−1.51322e22	−0.293137
$471$	−1.31317e22	−0.249830
$472$	−2.98079e22	−0.556961
$473$	9.55956e21	0.175436
$474$	−1.72709e22	−0.311315
$475$	4.65335e22	0.823891
$476$	5.81531e22	1.01138
$477$	−9.17383e21	−0.156727
$478$	4.50987e22	0.756880
$479$	−2.14158e22	−0.353088	−0.176544	−	0.984293i	$-0.556492\pi$
$479$	−2.14158e22	−0.353088	−0.176544	+	0.984293i	$0.556492\pi$
$480$	1.44025e21	0.0233286
$481$	8.78006e22	1.39722
$482$	−7.83045e22	−1.22430
$483$	4.02548e22	0.618397
$484$	−3.20918e22	−0.484405
$485$	−6.93877e21	−0.102915
$486$	−3.11236e21	−0.0453609
$487$	−6.16099e22	−0.882378	−0.441189	−	0.897414i	$-0.645443\pi$
$487$	−6.16099e22	−0.882378	−0.441189	+	0.897414i	$0.645443\pi$
$488$	−2.38980e22	−0.336352
$489$	2.97587e22	0.411613
$490$	−1.99501e22	−0.271194
$491$	1.00910e23	1.34815	0.674077	−	0.738661i	$-0.264542\pi$
$491$	1.00910e23	1.34815	0.674077	+	0.738661i	$0.264542\pi$
$492$	4.19769e22	0.551197
$493$	−8.10720e22	−1.04634
$494$	−6.96421e22	−0.883472
$495$	−1.07907e21	−0.0134556
$496$	1.86830e22	0.229008
$497$	1.35763e23	1.63588
$498$	4.94778e22	0.586085
$499$	−7.92274e22	−0.922616	−0.461308	−	0.887240i	$-0.652620\pi$
$499$	−7.92274e22	−0.922616	−0.461308	+	0.887240i	$0.652620\pi$
$500$	1.94435e22	0.222602
$501$	1.71963e22	0.193559
$502$	3.06965e22	0.339709
$503$	9.64210e22	1.04917	0.524583	−	0.851360i	$-0.324221\pi$
$503$	9.64210e22	1.04917	0.524583	+	0.851360i	$0.324221\pi$
$504$	1.80257e22	0.192856
$505$	3.78858e22	0.398565
$506$	−7.90123e21	−0.0817364
$507$	−6.04843e22	−0.615283
$508$	4.93494e22	0.493674
$509$	−1.03593e23	−1.01913	−0.509564	−	0.860433i	$-0.670193\pi$
$509$	−1.03593e23	−1.01913	−0.509564	+	0.860433i	$0.670193\pi$
$510$	1.19218e22	0.115344
$511$	−9.29747e22	−0.884681
$512$	4.72237e21	0.0441942
$513$	1.81756e22	0.167298
$514$	1.99279e21	0.0180416
$515$	1.73714e22	0.154694
$516$	−3.27378e22	−0.286765
$517$	3.71734e22	0.320304
$518$	1.32714e23	1.12490
$519$	−8.69752e22	−0.725225
$520$	−1.41593e22	−0.116148
$521$	−4.09239e22	−0.330260	−0.165130	−	0.986272i	$-0.552804\pi$
$521$	−4.09239e22	−0.330260	−0.165130	+	0.986272i	$0.552804\pi$
$522$	−2.51298e22	−0.199522
$523$	−1.73523e23	−1.35548	−0.677738	−	0.735304i	$-0.737040\pi$
$523$	−1.73523e23	−1.35548	−0.677738	+	0.735304i	$0.737040\pi$
$524$	−1.96211e22	−0.150802
$525$	1.18410e23	0.895434
$526$	4.00571e22	0.298058
$527$	1.54649e23	1.13229
$528$	−3.53809e21	−0.0254906
$529$	−8.06229e22	−0.571591
$530$	1.08923e22	0.0759932
$531$	−7.64807e22	−0.525108
$532$	−1.05267e23	−0.711283
$533$	−4.12679e23	−2.74430
$534$	7.29197e22	0.477248
$535$	−2.11918e22	−0.136509
$536$	−2.68377e22	−0.170155
$537$	−1.63383e22	−0.101959
$538$	9.43026e21	0.0579261
$539$	4.90090e22	0.296327
$540$	3.69538e21	0.0219944
$541$	1.27178e23	0.745135	0.372568	−	0.928005i	$-0.378477\pi$
$541$	1.27178e23	0.745135	0.372568	+	0.928005i	$0.378477\pi$
$542$	4.05945e22	0.234139
$543$	5.03902e22	0.286120
$544$	3.90896e22	0.218510
$545$	1.36923e22	0.0753540
$546$	−1.77212e23	−0.960189
$547$	3.36790e23	1.79666	0.898331	−	0.439319i	$-0.144780\pi$
$547$	3.36790e23	1.79666	0.898331	+	0.439319i	$0.144780\pi$
$548$	−2.14864e22	−0.112857
$549$	−6.13172e22	−0.317116
$550$	−2.32415e22	−0.118354
$551$	1.46754e23	0.735869
$552$	2.70586e22	0.133605
$553$	2.56648e23	1.24788
$554$	−1.79300e23	−0.858514
$555$	2.72072e22	0.128290
$556$	−7.44197e22	−0.345583
$557$	9.39678e21	0.0429744	0.0214872	−	0.999769i	$-0.493160\pi$
$557$	9.39678e21	0.0429744	0.0214872	+	0.999769i	$0.493160\pi$
$558$	4.79364e22	0.215911
$559$	3.21849e23	1.42775
$560$	−2.14023e22	−0.0935110
$561$	−2.92867e22	−0.126034
$562$	2.78305e23	1.17968
$563$	−4.04667e23	−1.68957	−0.844786	−	0.535104i	$-0.820272\pi$
$563$	−4.04667e23	−1.68957	−0.844786	+	0.535104i	$0.820272\pi$
$564$	−1.27304e23	−0.523566
$565$	3.08740e22	0.125078
$566$	2.26893e23	0.905487
$567$	4.62500e22	0.181826
$568$	9.12578e22	0.353435
$569$	1.33127e23	0.507938	0.253969	−	0.967212i	$-0.418264\pi$
$569$	1.33127e23	0.507938	0.253969	+	0.967212i	$0.418264\pi$
$570$	−2.15804e22	−0.0811190
$571$	−8.46728e22	−0.313572	−0.156786	−	0.987633i	$-0.550113\pi$
$571$	−8.46728e22	−0.313572	−0.156786	+	0.987633i	$0.550113\pi$
$572$	3.47833e22	0.126913
$573$	1.64837e23	0.592570
$574$	−6.23781e23	−2.20943
$575$	1.77747e23	0.620334
$576$	1.21166e22	0.0416667
$577$	−2.15247e23	−0.729361	−0.364681	−	0.931133i	$-0.618822\pi$
$577$	−2.15247e23	−0.729361	−0.364681	+	0.931133i	$0.618822\pi$
$578$	1.11792e23	0.373272
$579$	−2.01072e22	−0.0661581
$580$	2.98373e22	0.0967433
$581$	−7.35245e23	−2.34928
$582$	−5.83745e22	−0.183814
$583$	−2.67577e22	−0.0830361
$584$	−6.24961e22	−0.191136
$585$	−3.63297e22	−0.109506
$586$	−2.92110e21	−0.00867794
$587$	3.56529e23	1.04393	0.521965	−	0.852967i	$-0.325199\pi$
$587$	3.56529e23	1.04393	0.521965	+	0.852967i	$0.325199\pi$
$588$	−1.67837e23	−0.484372
$589$	−2.79940e23	−0.796316
$590$	9.08073e22	0.254612
$591$	−2.50737e22	−0.0692987
$592$	8.92082e22	0.243036
$593$	−2.08589e23	−0.560179	−0.280090	−	0.959974i	$-0.590364\pi$
$593$	−2.08589e23	−0.560179	−0.280090	+	0.959974i	$0.590364\pi$
$594$	−9.07798e21	−0.0240328
$595$	−1.77159e23	−0.462347
$596$	2.00253e23	0.515212
$597$	2.79169e22	0.0708085
$598$	−2.66016e23	−0.665194
$599$	2.28570e22	0.0563497	0.0281748	−	0.999603i	$-0.491030\pi$
$599$	2.28570e22	0.0563497	0.0281748	+	0.999603i	$0.491030\pi$
$600$	7.95932e22	0.193460
$601$	−1.83183e23	−0.438986	−0.219493	−	0.975614i	$-0.570440\pi$
$601$	−1.83183e23	−0.438986	−0.219493	+	0.975614i	$0.570440\pi$
$602$	4.86487e23	1.14948
$603$	−6.88598e22	−0.160424
$604$	3.39101e23	0.778959
$605$	9.77651e22	0.221444
$606$	3.18726e23	0.711868
$607$	8.59153e21	0.0189220	0.00946099	−	0.999955i	$-0.496988\pi$
$607$	8.59153e21	0.0189220	0.00946099	+	0.999955i	$0.496988\pi$
$608$	−7.07586e22	−0.153673
$609$	3.73432e23	0.799769
$610$	7.28034e22	0.153762
$611$	1.25154e24	2.60673
$612$	1.00295e23	0.206013
$613$	−3.41313e23	−0.691415	−0.345708	−	0.938342i	$-0.612361\pi$
$613$	−3.41313e23	−0.691415	−0.345708	+	0.938342i	$0.612361\pi$
$614$	−4.06679e23	−0.812494
$615$	−1.27879e23	−0.251977
$616$	5.25764e22	0.102177
$617$	−1.52402e23	−0.292124	−0.146062	−	0.989275i	$-0.546660\pi$
$617$	−1.52402e23	−0.292124	−0.146062	+	0.989275i	$0.546660\pi$
$618$	1.46142e23	0.276295
$619$	−1.81269e23	−0.338028	−0.169014	−	0.985614i	$-0.554058\pi$
$619$	−1.81269e23	−0.338028	−0.169014	+	0.985614i	$0.554058\pi$
$620$	−5.69161e22	−0.104690
$621$	6.94266e22	0.125964
$622$	2.45954e23	0.440186
$623$	−1.08359e24	−1.91301
$624$	−1.19119e23	−0.207450
$625$	4.92433e23	0.845993
$626$	−3.37475e23	−0.571952
$627$	5.30137e22	0.0886369
$628$	1.31169e23	0.216359
$629$	7.38425e23	1.20164
$630$	−5.49138e22	−0.0881630
$631$	−1.10718e24	−1.75375	−0.876876	−	0.480717i	$-0.840376\pi$
$631$	−1.10718e24	−1.75375	−0.876876	+	0.480717i	$0.840376\pi$
$632$	1.72515e23	0.269607
$633$	−1.32621e23	−0.204494
$634$	−4.40623e23	−0.670360
$635$	−1.50339e23	−0.225681
$636$	9.16348e22	0.135730
$637$	1.65002e24	2.41159
$638$	−7.32974e22	−0.105709
$639$	2.34148e23	0.333221
$640$	−1.43863e22	−0.0202032
$641$	−5.00581e23	−0.693715	−0.346857	−	0.937918i	$-0.612751\pi$
$641$	−5.00581e23	−0.693715	−0.346857	+	0.937918i	$0.612751\pi$
$642$	−1.78282e23	−0.243815
$643$	8.68208e22	0.117174	0.0585869	−	0.998282i	$-0.481341\pi$
$643$	8.68208e22	0.117174	0.0585869	+	0.998282i	$0.481341\pi$
$644$	−4.02094e23	−0.535547
$645$	9.97329e22	0.131093
$646$	−5.85708e23	−0.759809
$647$	5.23286e23	0.669965	0.334983	−	0.942224i	$-0.391270\pi$
$647$	5.23286e23	0.669965	0.334983	+	0.942224i	$0.391270\pi$
$648$	3.10885e22	0.0392837
$649$	−2.23075e23	−0.278209
$650$	−7.82489e23	−0.963196
$651$	−7.12340e23	−0.865464
$652$	−2.97251e23	−0.356467
$653$	7.95296e23	0.941384	0.470692	−	0.882298i	$-0.344004\pi$
$653$	7.95296e23	0.941384	0.470692	+	0.882298i	$0.344004\pi$
$654$	1.15191e23	0.134588
$655$	5.97741e22	0.0689385
$656$	−4.19295e23	−0.477351
$657$	−1.60351e23	−0.180205
$658$	1.89176e24	2.09867
$659$	−3.07892e23	−0.337188	−0.168594	−	0.985686i	$-0.553923\pi$
$659$	−3.07892e23	−0.337188	−0.168594	+	0.985686i	$0.553923\pi$
$660$	1.07785e22	0.0116529
$661$	−1.12093e24	−1.19637	−0.598187	−	0.801356i	$-0.704112\pi$
$661$	−1.12093e24	−1.19637	−0.598187	+	0.801356i	$0.704112\pi$
$662$	−3.06024e23	−0.322450
$663$	−9.86016e23	−1.02570
$664$	−4.94220e23	−0.507565
$665$	3.20686e23	0.325160
$666$	2.28889e23	0.229136
$667$	5.60565e23	0.554059
$668$	−1.71769e23	−0.167627
$669$	−7.27052e23	−0.700557
$670$	8.17589e22	0.0777856
$671$	−1.78847e23	−0.168012
$672$	−1.80054e23	−0.167018
$673$	1.82087e24	1.66783	0.833913	−	0.551895i	$-0.186095\pi$
$673$	1.82087e24	1.66783	0.833913	+	0.551895i	$0.186095\pi$
$674$	5.12490e23	0.463528
$675$	2.04219e23	0.182395
$676$	6.04161e23	0.532851
$677$	1.05372e24	0.917745	0.458873	−	0.888502i	$-0.348253\pi$
$677$	1.05372e24	0.917745	0.458873	+	0.888502i	$0.348253\pi$
$678$	2.59737e23	0.223399
$679$	8.67451e23	0.736804
$680$	−1.19083e23	−0.0998906
$681$	−1.17163e23	−0.0970603
$682$	1.39818e23	0.114392
$683$	−4.34005e23	−0.350686	−0.175343	−	0.984507i	$-0.556103\pi$
$683$	−4.34005e23	−0.350686	−0.175343	+	0.984507i	$0.556103\pi$
$684$	−1.81551e23	−0.144885
$685$	6.54565e22	0.0515920
$686$	1.00766e24	0.784439
$687$	1.10909e24	0.852778
$688$	3.27008e23	0.248346
$689$	−9.00872e23	−0.675771
$690$	−8.24319e22	−0.0610770
$691$	−6.62965e23	−0.485207	−0.242604	−	0.970126i	$-0.578001\pi$
$691$	−6.62965e23	−0.485207	−0.242604	+	0.970126i	$0.578001\pi$
$692$	8.68771e23	0.628064
$693$	1.34900e23	0.0963337
$694$	−5.79508e23	−0.408794
$695$	2.26714e23	0.157982
$696$	2.51015e23	0.172791
$697$	−3.47074e24	−2.36017
$698$	1.11519e23	0.0749165
$699$	5.63740e23	0.374130
$700$	−1.18276e24	−0.775469
$701$	1.70891e24	1.10692	0.553460	−	0.832876i	$-0.313307\pi$
$701$	1.70891e24	1.10692	0.553460	+	0.832876i	$0.313307\pi$
$702$	−3.05635e23	−0.195586
$703$	−1.33667e24	−0.845093
$704$	3.53410e22	0.0220755
$705$	3.87822e23	0.239346
$706$	1.99573e24	1.21692
$707$	−4.73629e24	−2.85347
$708$	7.63944e23	0.454757
$709$	2.73335e24	1.60769	0.803844	−	0.594840i	$-0.202785\pi$
$709$	2.73335e24	1.60769	0.803844	+	0.594840i	$0.202785\pi$
$710$	−2.78009e23	−0.161571
$711$	4.42636e23	0.254188
$712$	−7.28375e23	−0.413309
$713$	−1.06931e24	−0.599571
$714$	−1.49040e24	−0.825788
$715$	−1.05965e23	−0.0580175
$716$	1.63199e23	0.0882990
$717$	−1.15583e24	−0.617990
$718$	−1.94435e24	−1.02735
$719$	−9.75714e23	−0.509480	−0.254740	−	0.967010i	$-0.581990\pi$
$719$	−9.75714e23	−0.509480	−0.254740	+	0.967010i	$0.581990\pi$
$720$	−3.69121e22	−0.0190477
$721$	−2.17169e24	−1.10751
$722$	−3.42752e23	−0.172748
$723$	2.00686e24	0.999634
$724$	−5.03334e23	−0.247787
$725$	1.64891e24	0.802274
$726$	8.22479e23	0.395515
$727$	1.40199e24	0.666352	0.333176	−	0.942865i	$-0.391880\pi$
$727$	1.40199e24	0.666352	0.333176	+	0.942865i	$0.391880\pi$
$728$	1.77013e24	0.831548
$729$	7.97664e22	0.0370370
$730$	1.90389e23	0.0873771
$731$	2.70683e24	1.22790
$732$	6.12481e23	0.274630
$733$	−2.54385e24	−1.12748	−0.563739	−	0.825953i	$-0.690637\pi$
$733$	−2.54385e24	−1.12748	−0.563739	+	0.825953i	$0.690637\pi$
$734$	1.80882e23	0.0792461
$735$	5.11300e23	0.221429
$736$	−2.70281e23	−0.115706
$737$	−2.00847e23	−0.0849945
$738$	−1.07582e24	−0.450050
$739$	2.89915e24	1.19893	0.599464	−	0.800402i	$-0.295380\pi$
$739$	2.89915e24	1.19893	0.599464	+	0.800402i	$0.295380\pi$
$740$	−2.71766e23	−0.111103
$741$	1.78485e24	0.721352
$742$	−1.36170e24	−0.544063
$743$	3.29469e24	1.30140	0.650698	−	0.759337i	$-0.274477\pi$
$743$	3.29469e24	1.30140	0.650698	+	0.759337i	$0.274477\pi$
$744$	−4.78824e23	−0.186985
$745$	−6.10055e23	−0.235527
$746$	−1.30316e24	−0.497414
$747$	−1.26806e24	−0.478536
$748$	2.92537e23	0.109148
$749$	2.64929e24	0.977314
$750$	−4.98315e23	−0.181754
$751$	4.24988e24	1.53263	0.766315	−	0.642465i	$-0.222088\pi$
$751$	4.24988e24	1.53263	0.766315	+	0.642465i	$0.222088\pi$
$752$	1.27161e24	0.453421
$753$	−7.86717e23	−0.277371
$754$	−2.46775e24	−0.860291
$755$	−1.03304e24	−0.356098
$756$	−4.61979e23	−0.157466
$757$	1.54800e24	0.521742	0.260871	−	0.965374i	$-0.415990\pi$
$757$	1.54800e24	0.521742	0.260871	+	0.965374i	$0.415990\pi$
$758$	3.50386e24	1.16777
$759$	2.02500e23	0.0667375
$760$	2.15560e23	0.0702511
$761$	−3.35582e24	−1.08151	−0.540754	−	0.841181i	$-0.681861\pi$
$761$	−3.35582e24	−1.08151	−0.540754	+	0.841181i	$0.681861\pi$
$762$	−1.26477e24	−0.403083
$763$	−1.71174e24	−0.539486
$764$	−1.64651e24	−0.513181
$765$	−3.05542e23	−0.0941778
$766$	1.95144e24	0.594854
$767$	−7.51042e24	−2.26414
$768$	−1.21029e23	−0.0360844
$769$	1.82582e24	0.538374	0.269187	−	0.963088i	$-0.413245\pi$
$769$	1.82582e24	0.538374	0.269187	+	0.963088i	$0.413245\pi$
$770$	−1.60170e23	−0.0467099
$771$	−5.10731e22	−0.0147309
$772$	2.00845e23	0.0572946
$773$	−4.19178e24	−1.18270	−0.591348	−	0.806416i	$-0.701404\pi$
$773$	−4.19178e24	−1.18270	−0.591348	+	0.806416i	$0.701404\pi$
$774$	8.39033e23	0.234143
$775$	−3.14537e24	−0.868175
$776$	5.83087e23	0.159187
$777$	−3.40132e24	−0.918477
$778$	3.67155e24	0.980671
$779$	6.28261e24	1.65986
$780$	3.62887e23	0.0948347
$781$	6.82950e23	0.176545
$782$	−2.23726e24	−0.572084
$783$	6.44050e23	0.162909
$784$	1.67647e24	0.419479
$785$	−3.99597e23	−0.0989076
$786$	5.02867e23	0.123129
$787$	9.49019e23	0.229874	0.114937	−	0.993373i	$-0.463333\pi$
$787$	9.49019e23	0.229874	0.114937	+	0.993373i	$0.463333\pi$
$788$	2.50454e23	0.0600145
$789$	−1.02662e24	−0.243363
$790$	−5.25552e23	−0.123250
$791$	−3.85972e24	−0.895480
$792$	9.06774e22	0.0208130
$793$	−6.02136e24	−1.36733
$794$	−5.47055e24	−1.22901
$795$	−2.79158e23	−0.0620482
$796$	−2.78854e23	−0.0613220
$797$	1.93078e24	0.420085	0.210042	−	0.977692i	$-0.432640\pi$
$797$	1.93078e24	0.420085	0.210042	+	0.977692i	$0.432640\pi$
$798$	2.69787e24	0.580760
$799$	1.05258e25	2.24185
$800$	−7.95034e23	−0.167541
$801$	−1.86885e24	−0.389671
$802$	6.56102e24	1.35360
$803$	−4.67705e23	−0.0954750
$804$	6.87821e23	0.138931
$805$	1.22495e24	0.244823
$806$	4.70737e24	0.930958
$807$	−2.41687e23	−0.0472965
$808$	−3.18366e24	−0.616496
$809$	4.34667e24	0.832903	0.416451	−	0.909158i	$-0.363274\pi$
$809$	4.34667e24	0.832903	0.416451	+	0.909158i	$0.363274\pi$
$810$	−9.47086e22	−0.0179584
$811$	−4.99295e24	−0.936871	−0.468435	−	0.883498i	$-0.655182\pi$
$811$	−4.99295e24	−0.936871	−0.468435	+	0.883498i	$0.655182\pi$
$812$	−3.73011e24	−0.692620
$813$	−1.04039e24	−0.191173
$814$	6.67612e23	0.121399
$815$	9.05551e23	0.162957
$816$	−1.00182e24	−0.178412
$817$	−4.89980e24	−0.863557
$818$	2.83848e24	0.495088
$819$	4.54176e24	0.783991
$820$	1.27735e24	0.218219
$821$	6.99325e24	1.18239	0.591197	−	0.806527i	$-0.298656\pi$
$821$	6.99325e24	1.18239	0.591197	+	0.806527i	$0.298656\pi$
$822$	5.50672e23	0.0921473
$823$	4.26751e23	0.0706766	0.0353383	−	0.999375i	$-0.488749\pi$
$823$	4.26751e23	0.0706766	0.0353383	+	0.999375i	$0.488749\pi$
$824$	−1.45977e24	−0.239279
$825$	5.95655e23	0.0966354
$826$	−1.13523e25	−1.82286
$827$	−3.58339e24	−0.569504	−0.284752	−	0.958601i	$-0.591911\pi$
$827$	−3.58339e24	−0.569504	−0.284752	+	0.958601i	$0.591911\pi$
$828$	−6.93483e23	−0.109088
$829$	−8.91589e23	−0.138820	−0.0694098	−	0.997588i	$-0.522112\pi$
$829$	−8.91589e23	−0.138820	−0.0694098	+	0.997588i	$0.522112\pi$
$830$	1.50560e24	0.232031
$831$	4.59526e24	0.700974
$832$	1.18985e24	0.179657
$833$	1.38771e25	2.07403
$834$	1.90730e24	0.282167
$835$	5.23279e23	0.0766300
$836$	−5.29540e23	−0.0767618
$837$	−1.22856e24	−0.176291
$838$	4.32486e24	0.614324
$839$	4.30058e24	0.604715	0.302357	−	0.953195i	$-0.402226\pi$
$839$	4.30058e24	0.604715	0.302357	+	0.953195i	$0.402226\pi$
$840$	5.48518e23	0.0763514
$841$	−2.05695e24	−0.283438
$842$	−6.80328e24	−0.928038
$843$	−7.13266e24	−0.963201
$844$	1.32471e24	0.177097
$845$	−1.84053e24	−0.243590
$846$	3.26267e24	0.427490
$847$	−1.22221e25	−1.58539
$848$	−9.15315e23	−0.117545
$849$	−5.81503e24	−0.739327
$850$	−6.58093e24	−0.828374
$851$	−5.10577e24	−0.636297
$852$	−2.33884e24	−0.288578
$853$	3.58445e24	0.437881	0.218940	−	0.975738i	$-0.429740\pi$
$853$	3.58445e24	0.437881	0.218940	+	0.975738i	$0.429740\pi$
$854$	−9.10152e24	−1.10084
$855$	5.53081e23	0.0662334
$856$	1.78081e24	0.211150
$857$	3.28449e24	0.385594	0.192797	−	0.981239i	$-0.438244\pi$
$857$	3.28449e24	0.385594	0.192797	+	0.981239i	$0.438244\pi$
$858$	−8.91459e23	−0.103624
$859$	−6.36758e24	−0.732879	−0.366439	−	0.930442i	$-0.619423\pi$
$859$	−6.36758e24	−0.732879	−0.366439	+	0.930442i	$0.619423\pi$
$860$	−9.96204e23	−0.113530
$861$	1.59868e25	1.80399
$862$	−8.82106e24	−0.985619
$863$	−4.97024e24	−0.549903	−0.274951	−	0.961458i	$-0.588662\pi$
$863$	−4.97024e24	−0.549903	−0.274951	+	0.961458i	$0.588662\pi$
$864$	−3.10535e23	−0.0340207
$865$	−2.64664e24	−0.287116
$866$	6.87282e24	0.738300
$867$	−2.86512e24	−0.304775
$868$	7.11537e24	0.749514
$869$	1.29106e24	0.134672
$870$	−7.64696e23	−0.0789906
$871$	−6.76205e24	−0.691710
$872$	−1.15061e24	−0.116557
$873$	1.49607e24	0.150083
$874$	4.04982e24	0.402335
$875$	7.40501e24	0.728546
$876$	1.60171e24	0.156062
$877$	1.82800e25	1.76392	0.881961	−	0.471322i	$-0.156223\pi$
$877$	1.82800e25	1.76392	0.881961	+	0.471322i	$0.156223\pi$
$878$	1.13114e25	1.08097
$879$	7.48646e22	0.00708551
$880$	−1.07663e23	−0.0100917
$881$	−1.64406e25	−1.52624	−0.763118	−	0.646260i	$-0.776332\pi$
$881$	−1.64406e25	−1.52624	−0.763118	+	0.646260i	$0.776332\pi$
$882$	4.30147e24	0.395488
$883$	7.51632e24	0.684446	0.342223	−	0.939619i	$-0.388820\pi$
$883$	7.51632e24	0.684446	0.342223	+	0.939619i	$0.388820\pi$
$884$	9.84903e24	0.888279
$885$	−2.32729e24	−0.207890
$886$	6.30459e23	0.0557789
$887$	7.58503e23	0.0664670	0.0332335	−	0.999448i	$-0.489419\pi$
$887$	7.58503e23	0.0664670	0.0332335	+	0.999448i	$0.489419\pi$
$888$	−2.28631e24	−0.198438
$889$	1.87946e25	1.61573
$890$	2.21893e24	0.188942
$891$	2.32659e23	0.0196227
$892$	7.26232e24	0.606700
$893$	−1.90534e25	−1.57665
$894$	−5.13227e24	−0.420669
$895$	−4.97171e23	−0.0403655
$896$	1.79850e24	0.144642
$897$	6.81771e24	0.543128
$898$	7.55490e24	0.596183
$899$	−9.91963e24	−0.775422
$900$	−2.03989e24	−0.157959
$901$	−7.57656e24	−0.581181
$902$	−3.13790e24	−0.238442
$903$	−1.24681e25	−0.938545
$904$	−2.59444e24	−0.193469
$905$	1.53337e24	0.113275
$906$	−8.69078e24	−0.636018
$907$	1.82144e25	1.32054	0.660271	−	0.751027i	$-0.270441\pi$
$907$	1.82144e25	1.32054	0.660271	+	0.751027i	$0.270441\pi$
$908$	1.17031e24	0.0840567
$909$	−8.16859e24	−0.581238
$910$	−5.39254e24	−0.380138
$911$	−8.81295e24	−0.615482	−0.307741	−	0.951470i	$-0.599573\pi$
$911$	−8.81295e24	−0.615482	−0.307741	+	0.951470i	$0.599573\pi$
$912$	1.81347e24	0.125474
$913$	−3.69861e24	−0.253535
$914$	8.43985e24	0.573181
$915$	−1.86587e24	−0.125546
$916$	−1.10784e25	−0.738527
$917$	−7.47266e24	−0.493555
$918$	−2.57046e24	−0.168209
$919$	−2.73377e24	−0.177247	−0.0886236	−	0.996065i	$-0.528247\pi$
$919$	−2.73377e24	−0.177247	−0.0886236	+	0.996065i	$0.528247\pi$
$920$	8.23389e23	0.0528943
$921$	1.04227e25	0.663399
$922$	4.88131e24	0.307839
$923$	2.29934e25	1.43677
$924$	−1.34747e24	−0.0834274
$925$	−1.50187e25	−0.921354
$926$	−3.78996e24	−0.230378
$927$	−3.74546e24	−0.225594
$928$	−2.50732e24	−0.149641
$929$	−3.57671e24	−0.211519	−0.105760	−	0.994392i	$-0.533727\pi$
$929$	−3.57671e24	−0.211519	−0.105760	+	0.994392i	$0.533727\pi$
$930$	1.45870e24	0.0854791
$931$	−2.51198e25	−1.45863
$932$	−5.63104e24	−0.324006
$933$	−6.30354e24	−0.359411
$934$	−1.29847e25	−0.733642
$935$	−8.91189e23	−0.0498966
$936$	3.05290e24	0.169382
$937$	3.40970e25	1.87469	0.937347	−	0.348399i	$-0.113274\pi$
$937$	3.40970e25	1.87469	0.937347	+	0.348399i	$0.113274\pi$
$938$	−1.02211e25	−0.556895
$939$	8.64912e24	0.466997
$940$	−3.87385e24	−0.207279
$941$	1.04011e25	0.551529	0.275765	−	0.961225i	$-0.411069\pi$
$941$	1.04011e25	0.551529	0.275765	+	0.961225i	$0.411069\pi$
$942$	−3.36173e24	−0.176657
$943$	2.39981e25	1.24976
$944$	−7.63083e24	−0.393831
$945$	1.40738e24	0.0719848
$946$	2.44725e24	0.124052
$947$	1.58989e25	0.798714	0.399357	−	0.916795i	$-0.369233\pi$
$947$	1.58989e25	0.798714	0.399357	+	0.916795i	$0.369233\pi$
$948$	−4.42136e24	−0.220133
$949$	−1.57465e25	−0.777002
$950$	1.19126e25	0.582579
$951$	1.12927e25	0.547347
$952$	1.48872e25	0.715153
$953$	−1.36796e25	−0.651306	−0.325653	−	0.945489i	$-0.605584\pi$
$953$	−1.36796e25	−0.651306	−0.325653	+	0.945489i	$0.605584\pi$
$954$	−2.34850e24	−0.110823
$955$	5.01595e24	0.234598
$956$	1.15453e25	0.535195
$957$	1.87853e24	0.0863112
$958$	−5.48244e24	−0.249671
$959$	−8.18305e24	−0.369366
$960$	3.68705e23	0.0164958
$961$	−3.62792e24	−0.160883
$962$	2.24770e25	0.987983
$963$	4.56918e24	0.199074
$964$	−2.00460e25	−0.865709
$965$	−6.11857e23	−0.0261919
$966$	1.03052e25	0.437273
$967$	9.68649e22	0.00407419	0.00203710	−	0.999998i	$-0.499352\pi$
$967$	9.68649e22	0.00407419	0.00203710	+	0.999998i	$0.499352\pi$
$968$	−8.21551e24	−0.342526
$969$	1.50110e25	0.620382
$970$	−1.77632e24	−0.0727717
$971$	3.63660e25	1.47683	0.738417	−	0.674345i	$-0.235574\pi$
$971$	3.63660e25	1.47683	0.738417	+	0.674345i	$0.235574\pi$
$972$	−7.96765e23	−0.0320750
$973$	−2.83426e25	−1.13105
$974$	−1.57721e25	−0.623935
$975$	2.00543e25	0.786446
$976$	−6.11790e24	−0.237837
$977$	−2.69741e25	−1.03954	−0.519772	−	0.854305i	$-0.673983\pi$
$977$	−2.69741e25	−1.03954	−0.519772	+	0.854305i	$0.673983\pi$
$978$	7.61823e24	0.291054
$979$	−5.45097e24	−0.206453
$980$	−5.10724e24	−0.191763
$981$	−2.95221e24	−0.109891
$982$	2.58328e25	0.953289
$983$	3.32926e25	1.21799	0.608994	−	0.793175i	$-0.291574\pi$
$983$	3.32926e25	1.21799	0.608994	+	0.793175i	$0.291574\pi$
$984$	1.07461e25	0.389755
$985$	−7.62989e23	−0.0274353
$986$	−2.07544e25	−0.739873
$987$	−4.84837e25	−1.71356
$988$	−1.78284e25	−0.624709
$989$	−1.87161e25	−0.650200
$990$	−2.76241e23	−0.00951457
$991$	−2.08155e25	−0.710823	−0.355412	−	0.934710i	$-0.615659\pi$
$991$	−2.08155e25	−0.710823	−0.355412	+	0.934710i	$0.615659\pi$
$992$	4.78284e24	0.161933
$993$	7.84306e24	0.263279
$994$	3.47553e25	1.15674
$995$	8.49507e23	0.0280331
$996$	1.26663e25	0.414425
$997$	8.54395e24	0.277172	0.138586	−	0.990350i	$-0.455744\pi$
$997$	8.54395e24	0.277172	0.138586	+	0.990350i	$0.455744\pi$
$998$	−2.02822e25	−0.652388
$999$	−5.86618e24	−0.187089

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	6.18.a.c.1.1	✓	1
3.2	odd	2		18.18.a.b.1.1		1
4.3	odd	2		48.18.a.d.1.1		1

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
6.18.a.c.1.1	✓	1	1.1	even	1	trivial
18.18.a.b.1.1		1	3.2	odd	2
48.18.a.d.1.1		1	4.3	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:	\( N \)	\(=\)	\( 6 = 2 \cdot 3 \)
Weight:	\( k \)	\(=\)	\( 18 \)
Character orbit:	\([\chi]\)	\(=\)	6.a (trivial)

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

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