LMFDB - Embedded newform 14.18.a.a.1.1

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [14,18,Mod(1,14)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("14.1"); S:= CuspForms(chi, 18); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(14, base_ring=CyclotomicField(2)) chi = DirichletCharacter(H, H._module([0])) N = Newforms(chi, 18, names="a")

Level:	$ N $	$=$	$ 14 = 2 \cdot 7 $
Weight:	$ k $	$=$	$ 18 $
Character orbit:	$[\chi]$	$=$	14.a (trivial)

Newform invariants

comment:select newform

sage:traces = [1,256] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(2)] == traces)

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

Self dual:	yes
Analytic conductor:	$25.6510922282$
Analytic rank:	$1$
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	$\chi$	$=$	14.1

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$

$=$

\(q+256.000 q^{2} +4626.00 q^{3} +65536.0 q^{4} -851700. q^{5} +1.18426e6 q^{6} +5.76480e6 q^{7} +1.67772e7 q^{8} -1.07740e8 q^{9} -2.18035e8 q^{10} -5.86049e8 q^{11} +3.03170e8 q^{12} -1.04297e9 q^{13} +1.47579e9 q^{14} -3.93996e9 q^{15} +4.29497e9 q^{16} -1.71875e10 q^{17} -2.75815e10 q^{18} -3.52518e10 q^{19} -5.58170e10 q^{20} +2.66680e10 q^{21} -1.50029e11 q^{22} +2.26464e11 q^{23} +7.76114e10 q^{24} -3.75466e10 q^{25} -2.66999e11 q^{26} -1.09581e12 q^{27} +3.77802e11 q^{28} -3.38121e12 q^{29} -1.00863e12 q^{30} +2.57228e11 q^{31} +1.09951e12 q^{32} -2.71106e12 q^{33} -4.40000e12 q^{34} -4.90988e12 q^{35} -7.06087e12 q^{36} -4.04572e13 q^{37} -9.02446e12 q^{38} -4.82476e12 q^{39} -1.42892e13 q^{40} -2.90132e13 q^{41} +6.82700e12 q^{42} +1.26678e13 q^{43} -3.84073e13 q^{44} +9.17624e13 q^{45} +5.79748e13 q^{46} +2.86873e14 q^{47} +1.98685e13 q^{48} +3.32329e13 q^{49} -9.61192e12 q^{50} -7.95093e13 q^{51} -6.83518e13 q^{52} +5.64480e14 q^{53} -2.80527e14 q^{54} +4.99138e14 q^{55} +9.67173e13 q^{56} -1.63075e14 q^{57} -8.65589e14 q^{58} +1.80238e15 q^{59} -2.58209e14 q^{60} -6.68065e14 q^{61} +6.58504e13 q^{62} -6.21101e14 q^{63} +2.81475e14 q^{64} +8.88294e14 q^{65} -6.94032e14 q^{66} +3.32891e14 q^{67} -1.12640e15 q^{68} +1.04762e15 q^{69} -1.25693e15 q^{70} +4.45183e15 q^{71} -1.80758e15 q^{72} -6.13597e15 q^{73} -1.03570e16 q^{74} -1.73690e14 q^{75} -2.31026e15 q^{76} -3.37846e15 q^{77} -1.23514e15 q^{78} +7.78901e14 q^{79} -3.65802e15 q^{80} +8.84439e15 q^{81} -7.42737e15 q^{82} -8.88473e15 q^{83} +1.74771e15 q^{84} +1.46386e16 q^{85} +3.24295e15 q^{86} -1.56415e16 q^{87} -9.83227e15 q^{88} +2.94687e16 q^{89} +2.34912e16 q^{90} -6.01249e15 q^{91} +1.48415e16 q^{92} +1.18994e15 q^{93} +7.34395e16 q^{94} +3.00240e16 q^{95} +5.08634e15 q^{96} -4.45792e16 q^{97} +8.50763e15 q^{98} +6.31411e16 q^{99} +O(q^{100})\)

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
$3$	4626.00	0.407075	0.203538	−	0.979067i	$-0.434756\pi$
$3$	4626.00	0.407075	0.203538	+	0.979067i	$0.434756\pi$
$4$	65536.0	0.500000
$5$	−851700.	−0.975083	−0.487542	−	0.873100i	$-0.662106\pi$
$5$	−851700.	−0.975083	−0.487542	+	0.873100i	$0.662106\pi$
$6$	1.18426e6	0.287846
$7$	5.76480e6	0.377964
$7$	5.76480e6	0.377964
$8$	1.67772e7	0.353553
$9$	−1.07740e8	−0.834290
$10$	−2.18035e8	−0.689488
$11$	−5.86049e8	−0.824320	−0.412160	−	0.911111i	$-0.635226\pi$
$11$	−5.86049e8	−0.824320	−0.412160	+	0.911111i	$0.635226\pi$
$12$	3.03170e8	0.203538
$13$	−1.04297e9	−0.354611	−0.177305	−	0.984156i	$-0.556738\pi$
$13$	−1.04297e9	−0.354611	−0.177305	+	0.984156i	$0.556738\pi$
$14$	1.47579e9	0.267261
$15$	−3.93996e9	−0.396932
$16$	4.29497e9	0.250000
$17$	−1.71875e10	−0.597581	−0.298790	−	0.954319i	$-0.596583\pi$
$17$	−1.71875e10	−0.597581	−0.298790	+	0.954319i	$0.596583\pi$
$18$	−2.75815e10	−0.589932
$19$	−3.52518e10	−0.476185	−0.238093	−	0.971242i	$-0.576522\pi$
$19$	−3.52518e10	−0.476185	−0.238093	+	0.971242i	$0.576522\pi$
$20$	−5.58170e10	−0.487542
$21$	2.66680e10	0.153860
$22$	−1.50029e11	−0.582883
$23$	2.26464e11	0.602993	0.301497	−	0.953467i	$-0.402514\pi$
$23$	2.26464e11	0.602993	0.301497	+	0.953467i	$0.402514\pi$
$24$	7.76114e10	0.143923
$25$	−3.75466e10	−0.0492130
$26$	−2.66999e11	−0.250748
$27$	−1.09581e12	−0.746694
$28$	3.77802e11	0.188982
$29$	−3.38121e12	−1.25513	−0.627565	−	0.778564i	$-0.715948\pi$
$29$	−3.38121e12	−1.25513	−0.627565	+	0.778564i	$0.715948\pi$
$30$	−1.00863e12	−0.280674
$31$	2.57228e11	0.0541681	0.0270841	−	0.999633i	$-0.491378\pi$
$31$	2.57228e11	0.0541681	0.0270841	+	0.999633i	$0.491378\pi$
$32$	1.09951e12	0.176777
$33$	−2.71106e12	−0.335561
$34$	−4.40000e12	−0.422553
$35$	−4.90988e12	−0.368547
$36$	−7.06087e12	−0.417145
$37$	−4.04572e13	−1.89357	−0.946785	−	0.321868i	$-0.895689\pi$
$37$	−4.04572e13	−1.89357	−0.946785	+	0.321868i	$0.895689\pi$
$38$	−9.02446e12	−0.336714
$39$	−4.82476e12	−0.144353
$40$	−1.42892e13	−0.344744
$41$	−2.90132e13	−0.567456	−0.283728	−	0.958905i	$-0.591571\pi$
$41$	−2.90132e13	−0.567456	−0.283728	+	0.958905i	$0.591571\pi$
$42$	6.82700e12	0.108796
$43$	1.26678e13	0.165279	0.0826397	−	0.996579i	$-0.473665\pi$
$43$	1.26678e13	0.165279	0.0826397	+	0.996579i	$0.473665\pi$
$44$	−3.84073e13	−0.412160
$45$	9.17624e13	0.813502
$46$	5.79748e13	0.426381
$47$	2.86873e14	1.75735	0.878674	−	0.477422i	$-0.158429\pi$
$47$	2.86873e14	1.75735	0.878674	+	0.477422i	$0.158429\pi$
$48$	1.98685e13	0.101769
$49$	3.32329e13	0.142857
$50$	−9.61192e12	−0.0347989
$51$	−7.95093e13	−0.243260
$52$	−6.83518e13	−0.177305
$53$	5.64480e14	1.24539	0.622693	−	0.782466i	$-0.286039\pi$
$53$	5.64480e14	1.24539	0.622693	+	0.782466i	$0.286039\pi$
$54$	−2.80527e14	−0.527993
$55$	4.99138e14	0.803781
$56$	9.67173e13	0.133631
$57$	−1.63075e14	−0.193843
$58$	−8.65589e14	−0.887512
$59$	1.80238e15	1.59810	0.799050	−	0.601265i	$-0.205336\pi$
$59$	1.80238e15	1.59810	0.799050	+	0.601265i	$0.205336\pi$
$60$	−2.58209e14	−0.198466
$61$	−6.68065e14	−0.446185	−0.223093	−	0.974797i	$-0.571615\pi$
$61$	−6.68065e14	−0.446185	−0.223093	+	0.974797i	$0.571615\pi$
$62$	6.58504e13	0.0383027
$63$	−6.21101e14	−0.315332
$64$	2.81475e14	0.125000
$65$	8.88294e14	0.345775
$66$	−6.94032e14	−0.237277
$67$	3.32891e14	0.100153	0.0500767	−	0.998745i	$-0.484053\pi$
$67$	3.32891e14	0.100153	0.0500767	+	0.998745i	$0.484053\pi$
$68$	−1.12640e15	−0.298790
$69$	1.04762e15	0.245464
$70$	−1.25693e15	−0.260602
$71$	4.45183e15	0.818168	0.409084	−	0.912497i	$-0.365848\pi$
$71$	4.45183e15	0.818168	0.409084	+	0.912497i	$0.365848\pi$
$72$	−1.80758e15	−0.294966
$73$	−6.13597e15	−0.890511	−0.445255	−	0.895404i	$-0.646887\pi$
$73$	−6.13597e15	−0.890511	−0.445255	+	0.895404i	$0.646887\pi$
$74$	−1.03570e16	−1.33896
$75$	−1.73690e14	−0.0200334
$76$	−2.31026e15	−0.238093
$77$	−3.37846e15	−0.311564
$78$	−1.23514e15	−0.102073
$79$	7.78901e14	0.0577633	0.0288817	−	0.999583i	$-0.490805\pi$
$79$	7.78901e14	0.0577633	0.0288817	+	0.999583i	$0.490805\pi$
$80$	−3.65802e15	−0.243771
$81$	8.84439e15	0.530329
$82$	−7.42737e15	−0.401252
$83$	−8.88473e15	−0.432993	−0.216496	−	0.976283i	$-0.569463\pi$
$83$	−8.88473e15	−0.432993	−0.216496	+	0.976283i	$0.569463\pi$
$84$	1.74771e15	0.0769300
$85$	1.46386e16	0.582691
$86$	3.24295e15	0.116870
$87$	−1.56415e16	−0.510933
$88$	−9.83227e15	−0.291441
$89$	2.94687e16	0.793499	0.396750	−	0.917927i	$-0.370138\pi$
$89$	2.94687e16	0.793499	0.396750	+	0.917927i	$0.370138\pi$
$90$	2.34912e16	0.575232
$91$	−6.01249e15	−0.134030
$92$	1.48415e16	0.301497
$93$	1.18994e15	0.0220505
$94$	7.34395e16	1.24263
$95$	3.00240e16	0.464320
$96$	5.08634e15	0.0719615
$97$	−4.45792e16	−0.577527	−0.288764	−	0.957400i	$-0.593244\pi$
$97$	−4.45792e16	−0.577527	−0.288764	+	0.957400i	$0.593244\pi$
$98$	8.50763e15	0.101015
$99$	6.31411e16	0.687722
$100$	−2.46065e15	−0.0246065
$101$	1.22875e16	0.112910	0.0564549	−	0.998405i	$-0.482020\pi$
$101$	1.22875e16	0.112910	0.0564549	+	0.998405i	$0.482020\pi$
$102$	−2.03544e16	−0.172011
$103$	2.06712e17	1.60786	0.803932	−	0.594722i	$-0.202738\pi$
$103$	2.06712e17	1.60786	0.803932	+	0.594722i	$0.202738\pi$
$104$	−1.74981e16	−0.125374
$105$	−2.27131e16	−0.150026
$106$	1.44507e17	0.880621
$107$	−2.53073e17	−1.42391	−0.711956	−	0.702224i	$-0.752190\pi$
$107$	−2.53073e17	−1.42391	−0.711956	+	0.702224i	$0.752190\pi$
$108$	−7.18149e16	−0.373347
$109$	−2.56612e17	−1.23354	−0.616769	−	0.787144i	$-0.711559\pi$
$109$	−2.56612e17	−1.23354	−0.616769	+	0.787144i	$0.711559\pi$
$110$	1.27779e17	0.568359
$111$	−1.87155e17	−0.770826
$112$	2.47596e16	0.0944911
$113$	−3.95890e17	−1.40090	−0.700452	−	0.713700i	$-0.747018\pi$
$113$	−3.95890e17	−1.40090	−0.700452	+	0.713700i	$0.747018\pi$
$114$	−4.17472e16	−0.137068
$115$	−1.92879e17	−0.587969
$116$	−2.21591e17	−0.627565
$117$	1.12369e17	0.295848
$118$	4.61409e17	1.13003
$119$	−9.90825e16	−0.225864
$120$	−6.61016e16	−0.140337
$121$	−1.61994e17	−0.320496
$122$	−1.71025e17	−0.315501
$123$	−1.34215e17	−0.230998
$124$	1.68577e16	0.0270841
$125$	6.81774e17	1.02307
$126$	−1.59002e17	−0.222973
$127$	8.91423e16	0.116883	0.0584416	−	0.998291i	$-0.481387\pi$
$127$	8.91423e16	0.116883	0.0584416	+	0.998291i	$0.481387\pi$
$128$	7.20576e16	0.0883883
$129$	5.86011e16	0.0672812
$130$	2.27403e17	0.244500
$131$	2.36028e17	0.237770	0.118885	−	0.992908i	$-0.462068\pi$
$131$	2.36028e17	0.237770	0.118885	+	0.992908i	$0.462068\pi$
$132$	−1.77672e17	−0.167780
$133$	−2.03220e17	−0.179981
$134$	8.52200e16	0.0708191
$135$	9.33300e17	0.728089
$136$	−2.88358e17	−0.211277
$137$	−9.47531e16	−0.0652332	−0.0326166	−	0.999468i	$-0.510384\pi$
$137$	−9.47531e16	−0.0652332	−0.0326166	+	0.999468i	$0.510384\pi$
$138$	2.68191e17	0.173569
$139$	6.49701e17	0.395447	0.197723	−	0.980258i	$-0.436645\pi$
$139$	6.49701e17	0.395447	0.197723	+	0.980258i	$0.436645\pi$
$140$	−3.21774e17	−0.184273
$141$	1.32707e18	0.715373
$142$	1.13967e18	0.578532
$143$	6.11229e17	0.292313
$144$	−4.62741e17	−0.208572
$145$	2.87978e18	1.22386
$146$	−1.57081e18	−0.629686
$147$	1.53736e17	0.0581536
$148$	−2.65140e18	−0.946785
$149$	−1.38099e18	−0.465700	−0.232850	−	0.972513i	$-0.574805\pi$
$149$	−1.38099e18	−0.465700	−0.232850	+	0.972513i	$0.574805\pi$
$150$	−4.44647e16	−0.0141658
$151$	−3.19609e18	−0.962309	−0.481154	−	0.876636i	$-0.659782\pi$
$151$	−3.19609e18	−0.962309	−0.481154	+	0.876636i	$0.659782\pi$
$152$	−5.91427e17	−0.168357
$153$	1.85178e18	0.498555
$154$	−8.64885e17	−0.220309
$155$	−2.19081e17	−0.0528184
$156$	−3.16196e17	−0.0721767
$157$	6.98555e18	1.51027	0.755133	−	0.655571i	$-0.227572\pi$
$157$	6.98555e18	1.51027	0.755133	+	0.655571i	$0.227572\pi$
$158$	1.99399e17	0.0408448
$159$	2.61129e18	0.506966
$160$	−9.36454e17	−0.172372
$161$	1.30552e18	0.227910
$162$	2.26416e18	0.374999
$163$	−4.60661e18	−0.724080	−0.362040	−	0.932163i	$-0.617920\pi$
$163$	−4.60661e18	−0.724080	−0.362040	+	0.932163i	$0.617920\pi$
$164$	−1.90141e18	−0.283728
$165$	2.30901e18	0.327200
$166$	−2.27449e18	−0.306172
$167$	−1.31691e19	−1.68448	−0.842242	−	0.539100i	$-0.818764\pi$
$167$	−1.31691e19	−1.68448	−0.842242	+	0.539100i	$0.818764\pi$
$168$	4.47414e17	0.0543978
$169$	−7.56264e18	−0.874251
$170$	3.74748e18	0.412025
$171$	3.79804e18	0.397276
$172$	8.30196e17	0.0826397
$173$	−2.07414e19	−1.96537	−0.982687	−	0.185271i	$-0.940684\pi$
$173$	−2.07414e19	−1.96537	−0.982687	+	0.185271i	$0.940684\pi$
$174$	−4.00422e18	−0.361284
$175$	−2.16448e17	−0.0186008
$176$	−2.51706e18	−0.206080
$177$	8.33780e18	0.650547
$178$	7.54400e18	0.561089
$179$	−8.80765e18	−0.624611	−0.312305	−	0.949982i	$-0.601101\pi$
$179$	−8.80765e18	−0.624611	−0.312305	+	0.949982i	$0.601101\pi$
$180$	6.01374e18	0.406751
$181$	−1.58796e19	−1.02464	−0.512320	−	0.858795i	$-0.671214\pi$
$181$	−1.58796e19	−1.02464	−0.512320	+	0.858795i	$0.671214\pi$
$182$	−1.53920e18	−0.0947737
$183$	−3.09047e18	−0.181631
$184$	3.79944e18	0.213190
$185$	3.44574e19	1.84639
$186$	3.04624e17	0.0155921
$187$	1.00727e19	0.492598
$188$	1.88005e19	0.878674
$189$	−6.31712e18	−0.282224
$190$	7.68614e18	0.328324
$191$	3.55318e19	1.45155	0.725777	−	0.687930i	$-0.241480\pi$
$191$	3.55318e19	1.45155	0.725777	+	0.687930i	$0.241480\pi$
$192$	1.30210e18	0.0508844
$193$	1.32230e19	0.494415	0.247208	−	0.968963i	$-0.420487\pi$
$193$	1.32230e19	0.494415	0.247208	+	0.968963i	$0.420487\pi$
$194$	−1.14123e19	−0.408374
$195$	4.10925e18	0.140756
$196$	2.17795e18	0.0714286
$197$	−4.00451e19	−1.25773	−0.628864	−	0.777516i	$-0.716480\pi$
$197$	−4.00451e19	−1.25773	−0.628864	+	0.777516i	$0.716480\pi$
$198$	1.61641e19	0.486293
$199$	1.01378e19	0.292207	0.146104	−	0.989269i	$-0.453327\pi$
$199$	1.01378e19	0.292207	0.146104	+	0.989269i	$0.453327\pi$
$200$	−6.29927e17	−0.0173994
$201$	1.53995e18	0.0407700
$202$	3.14560e18	0.0798393
$203$	−1.94920e19	−0.474395
$204$	−5.21072e18	−0.121630
$205$	2.47105e19	0.553317
$206$	5.29183e19	1.13693
$207$	−2.43993e19	−0.503071
$208$	−4.47951e18	−0.0886527
$209$	2.06593e19	0.392529
$210$	−5.81456e18	−0.106085
$211$	−9.11295e19	−1.59683	−0.798414	−	0.602109i	$-0.794327\pi$
$211$	−9.11295e19	−1.59683	−0.798414	+	0.602109i	$0.794327\pi$
$212$	3.69938e19	0.622693
$213$	2.05942e19	0.333056
$214$	−6.47866e19	−1.00686
$215$	−1.07891e19	−0.161161
$216$	−1.83846e19	−0.263996
$217$	1.48287e18	0.0204736
$218$	−6.56928e19	−0.872243
$219$	−2.83850e19	−0.362505
$220$	3.27115e19	0.401890
$221$	1.79260e19	0.211908
$222$	−4.79117e19	−0.545056
$223$	−1.47567e20	−1.61584	−0.807920	−	0.589292i	$-0.799407\pi$
$223$	−1.47567e20	−1.61584	−0.807920	+	0.589292i	$0.799407\pi$
$224$	6.33847e18	0.0668153
$225$	4.04528e18	0.0410579
$226$	−1.01348e20	−0.990588
$227$	1.29427e20	1.21845	0.609223	−	0.792999i	$-0.291481\pi$
$227$	1.29427e20	1.21845	0.609223	+	0.792999i	$0.291481\pi$
$228$	−1.06873e19	−0.0969217
$229$	1.03972e20	0.908479	0.454240	−	0.890880i	$-0.349911\pi$
$229$	1.03972e20	0.908479	0.454240	+	0.890880i	$0.349911\pi$
$230$	−4.93771e19	−0.415757
$231$	−1.56287e19	−0.126830
$232$	−5.67273e19	−0.443756
$233$	1.75038e20	1.32010	0.660051	−	0.751220i	$-0.270535\pi$
$233$	1.75038e20	1.32010	0.660051	+	0.751220i	$0.270535\pi$
$234$	2.87666e19	0.209196
$235$	−2.44330e20	−1.71356
$236$	1.18121e20	0.799050
$237$	3.60320e18	0.0235140
$238$	−2.53651e19	−0.159710
$239$	−3.01094e19	−0.182945	−0.0914724	−	0.995808i	$-0.529157\pi$
$239$	−3.01094e19	−0.182945	−0.0914724	+	0.995808i	$0.529157\pi$
$240$	−1.69220e19	−0.0992331
$241$	3.08783e20	1.74787	0.873933	−	0.486046i	$-0.161561\pi$
$241$	3.08783e20	1.74787	0.873933	+	0.486046i	$0.161561\pi$
$242$	−4.14704e19	−0.226625
$243$	1.82427e20	0.962578
$244$	−4.37823e19	−0.223093
$245$	−2.83045e19	−0.139298
$246$	−3.43590e19	−0.163340
$247$	3.67665e19	0.168860
$248$	4.31557e18	0.0191513
$249$	−4.11008e19	−0.176261
$250$	1.74534e20	0.723420
$251$	1.43109e20	0.573379	0.286689	−	0.958024i	$-0.407445\pi$
$251$	1.43109e20	0.573379	0.286689	+	0.958024i	$0.407445\pi$
$252$	−4.07045e19	−0.157666
$253$	−1.32719e20	−0.497060
$254$	2.28204e19	0.0826490
$255$	6.77181e19	0.237199
$256$	1.84467e19	0.0625000
$257$	3.62357e20	1.18769	0.593847	−	0.804578i	$-0.297608\pi$
$257$	3.62357e20	1.18769	0.593847	+	0.804578i	$0.297608\pi$
$258$	1.50019e19	0.0475750
$259$	−2.33228e20	−0.715702
$260$	5.82153e19	0.172887
$261$	3.64292e20	1.04714
$262$	6.04231e19	0.168129
$263$	−5.55929e20	−1.49760	−0.748799	−	0.662797i	$-0.769369\pi$
$263$	−5.55929e20	−1.49760	−0.748799	+	0.662797i	$0.769369\pi$
$264$	−4.54841e19	−0.118639
$265$	−4.80768e20	−1.21435
$266$	−5.20242e19	−0.127266
$267$	1.36322e20	0.323014
$268$	2.18163e19	0.0500767
$269$	5.81314e20	1.29276	0.646378	−	0.763018i	$-0.276283\pi$
$269$	5.81314e20	1.29276	0.646378	+	0.763018i	$0.276283\pi$
$270$	2.38925e20	0.514837
$271$	−6.11727e20	−1.27738	−0.638688	−	0.769466i	$-0.720522\pi$
$271$	−6.11727e20	−1.27738	−0.638688	+	0.769466i	$0.720522\pi$
$272$	−7.38197e19	−0.149395
$273$	−2.78138e19	−0.0545604
$274$	−2.42568e19	−0.0461268
$275$	2.20041e19	0.0405673
$276$	6.86570e19	0.122732
$277$	−6.57323e20	−1.13947	−0.569733	−	0.821830i	$-0.692953\pi$
$277$	−6.57323e20	−1.13947	−0.569733	+	0.821830i	$0.692953\pi$
$278$	1.66324e20	0.279623
$279$	−2.77138e19	−0.0451919
$280$	−8.23741e19	−0.130301
$281$	2.72353e20	0.417954	0.208977	−	0.977921i	$-0.432987\pi$
$281$	2.72353e20	0.417954	0.208977	+	0.977921i	$0.432987\pi$
$282$	3.39731e20	0.505845
$283$	−6.95299e20	−1.00459	−0.502293	−	0.864697i	$-0.667510\pi$
$283$	−6.95299e20	−1.00459	−0.502293	+	0.864697i	$0.667510\pi$
$284$	2.91755e20	0.409084
$285$	1.38891e20	0.189013
$286$	1.56475e20	0.206696
$287$	−1.67255e20	−0.214478
$288$	−1.18462e20	−0.147483
$289$	−5.31830e20	−0.642897
$290$	7.37223e20	0.865397
$291$	−2.06223e20	−0.235097
$292$	−4.02127e20	−0.445255
$293$	4.56450e20	0.490928	0.245464	−	0.969406i	$-0.421060\pi$
$293$	4.56450e20	0.490928	0.245464	+	0.969406i	$0.421060\pi$
$294$	3.93563e19	0.0411208
$295$	−1.53509e21	−1.55828
$296$	−6.78759e20	−0.669478
$297$	6.42198e20	0.615515
$298$	−3.53533e20	−0.329300
$299$	−2.36194e20	−0.213828
$300$	−1.13830e19	−0.0100167
$301$	7.30272e19	0.0624697
$302$	−8.18198e20	−0.680455
$303$	5.68420e19	0.0459628
$304$	−1.51405e20	−0.119046
$305$	5.68991e20	0.435068
$306$	4.74057e20	0.352532
$307$	−1.11526e21	−0.806677	−0.403339	−	0.915051i	$-0.632150\pi$
$307$	−1.11526e21	−0.806677	−0.403339	+	0.915051i	$0.632150\pi$
$308$	−2.21410e20	−0.155782
$309$	9.56249e20	0.654522
$310$	−5.60848e19	−0.0373483
$311$	3.73800e20	0.242201	0.121101	−	0.992640i	$-0.461358\pi$
$311$	3.73800e20	0.242201	0.121101	+	0.992640i	$0.461358\pi$
$312$	−8.09461e19	−0.0510366
$313$	1.69138e21	1.03780	0.518900	−	0.854835i	$-0.326342\pi$
$313$	1.69138e21	1.03780	0.518900	+	0.854835i	$0.326342\pi$
$314$	1.78830e21	1.06792
$315$	5.28992e20	0.307475
$316$	5.10461e19	0.0288817
$317$	1.05652e20	0.0581933	0.0290966	−	0.999577i	$-0.490737\pi$
$317$	1.05652e20	0.0581933	0.0290966	+	0.999577i	$0.490737\pi$
$318$	6.68489e20	0.358479
$319$	1.98155e21	1.03463
$320$	−2.39732e20	−0.121885
$321$	−1.17071e21	−0.579640
$322$	3.34213e20	0.161157
$323$	6.05890e20	0.284559
$324$	5.79626e20	0.265164
$325$	3.91598e19	0.0174515
$326$	−1.17929e21	−0.512002
$327$	−1.18709e21	−0.502143
$328$	−4.86760e20	−0.200626
$329$	1.65377e21	0.664215
$330$	5.91107e20	0.231365
$331$	3.89925e21	1.48745	0.743727	−	0.668483i	$-0.233056\pi$
$331$	3.89925e21	1.48745	0.743727	+	0.668483i	$0.233056\pi$
$332$	−5.82270e20	−0.216496
$333$	4.35887e21	1.57979
$334$	−3.37129e21	−1.19111
$335$	−2.83523e20	−0.0976579
$336$	1.14538e20	0.0384650
$337$	−7.55248e20	−0.247306	−0.123653	−	0.992325i	$-0.539461\pi$
$337$	−7.55248e20	−0.247306	−0.123653	+	0.992325i	$0.539461\pi$
$338$	−1.93604e21	−0.618189
$339$	−1.83139e21	−0.570273
$340$	9.59354e20	0.291345
$341$	−1.50748e20	−0.0446519
$342$	9.72298e20	0.280917
$343$	1.91581e20	0.0539949
$344$	2.12530e20	0.0584351
$345$	−8.92260e20	−0.239348
$346$	−5.30979e21	−1.38973
$347$	−2.25234e21	−0.575220	−0.287610	−	0.957748i	$-0.592861\pi$
$347$	−2.25234e21	−0.575220	−0.287610	+	0.957748i	$0.592861\pi$
$348$	−1.02508e21	−0.255466
$349$	−1.30287e21	−0.316872	−0.158436	−	0.987369i	$-0.550645\pi$
$349$	−1.30287e21	−0.316872	−0.158436	+	0.987369i	$0.550645\pi$
$350$	−5.54108e19	−0.0131527
$351$	1.14289e21	0.264786
$352$	−6.44368e20	−0.145721
$353$	−5.70498e21	−1.25942	−0.629708	−	0.776832i	$-0.716826\pi$
$353$	−5.70498e21	−1.25942	−0.629708	+	0.776832i	$0.716826\pi$
$354$	2.13448e21	0.460006
$355$	−3.79162e21	−0.797782
$356$	1.93126e21	0.396750
$357$	−4.58355e20	−0.0919438
$358$	−2.25476e21	−0.441666
$359$	2.20282e21	0.421382	0.210691	−	0.977553i	$-0.432429\pi$
$359$	2.20282e21	0.421382	0.210691	+	0.977553i	$0.432429\pi$
$360$	1.53952e21	0.287616
$361$	−4.23770e21	−0.773248
$362$	−4.06518e21	−0.724530
$363$	−7.49382e20	−0.130466
$364$	−3.94035e20	−0.0670151
$365$	5.22601e21	0.868322
$366$	−7.91160e20	−0.128433
$367$	−1.03141e22	−1.63594	−0.817972	−	0.575258i	$-0.804902\pi$
$367$	−1.03141e22	−1.63594	−0.817972	+	0.575258i	$0.804902\pi$
$368$	9.72655e20	0.150748
$369$	3.12589e21	0.473423
$370$	8.82109e21	1.30559
$371$	3.25412e21	0.470712
$372$	7.79837e19	0.0110253
$373$	−1.17899e22	−1.62924	−0.814621	−	0.579994i	$-0.803055\pi$
$373$	−1.17899e22	−1.62924	−0.814621	+	0.579994i	$0.803055\pi$
$374$	2.57861e21	0.348319
$375$	3.15389e21	0.416467
$376$	4.81293e21	0.621316
$377$	3.52649e21	0.445083
$378$	−1.61718e21	−0.199562
$379$	1.42591e22	1.72051	0.860257	−	0.509861i	$-0.170303\pi$
$379$	1.42591e22	1.72051	0.860257	+	0.509861i	$0.170303\pi$
$380$	1.96765e21	0.232160
$381$	4.12372e20	0.0475803
$382$	9.09613e21	1.02640
$383$	−2.45253e21	−0.270660	−0.135330	−	0.990801i	$-0.543209\pi$
$383$	−2.45253e21	−0.270660	−0.135330	+	0.990801i	$0.543209\pi$
$384$	3.33338e20	0.0359807
$385$	2.87743e21	0.303801
$386$	3.38508e21	0.349604
$387$	−1.36483e21	−0.137891
$388$	−2.92154e21	−0.288764
$389$	2.97804e21	0.287978	0.143989	−	0.989579i	$-0.454007\pi$
$389$	2.97804e21	0.287978	0.143989	+	0.989579i	$0.454007\pi$
$390$	1.05197e21	0.0995299
$391$	−3.89235e21	−0.360337
$392$	5.57556e20	0.0505076
$393$	1.09186e21	0.0967903
$394$	−1.02515e22	−0.889348
$395$	−6.63390e20	−0.0563240
$396$	4.13801e21	0.343861
$397$	3.57740e21	0.290970	0.145485	−	0.989360i	$-0.453526\pi$
$397$	3.57740e21	0.290970	0.145485	+	0.989360i	$0.453526\pi$
$398$	2.59527e21	0.206622
$399$	−9.40094e20	−0.0732659
$400$	−1.61261e20	−0.0123033
$401$	−1.43672e22	−1.07311	−0.536555	−	0.843865i	$-0.680275\pi$
$401$	−1.43672e22	−1.07311	−0.536555	+	0.843865i	$0.680275\pi$
$402$	3.94228e20	0.0288287
$403$	−2.68280e20	−0.0192086
$404$	8.05273e20	0.0564549
$405$	−7.53276e21	−0.517114
$406$	−4.98995e21	−0.335448
$407$	2.37099e22	1.56091
$408$	−1.33395e21	−0.0860056
$409$	−1.53766e22	−0.970985	−0.485492	−	0.874241i	$-0.661360\pi$
$409$	−1.53766e22	−0.970985	−0.485492	+	0.874241i	$0.661360\pi$
$410$	6.32589e21	0.391254
$411$	−4.38328e20	−0.0265548
$412$	1.35471e22	0.803932
$413$	1.03903e22	0.604025
$414$	−6.24622e21	−0.355725
$415$	7.56713e21	0.422204
$416$	−1.14675e21	−0.0626869
$417$	3.00552e21	0.160977
$418$	5.28878e21	0.277560
$419$	1.60301e22	0.824360	0.412180	−	0.911102i	$-0.364767\pi$
$419$	1.60301e22	0.824360	0.412180	+	0.911102i	$0.364767\pi$
$420$	−1.48853e21	−0.0750132
$421$	−6.98512e21	−0.344966	−0.172483	−	0.985013i	$-0.555179\pi$
$421$	−6.98512e21	−0.344966	−0.172483	+	0.985013i	$0.555179\pi$
$422$	−2.33292e22	−1.12913
$423$	−3.09078e22	−1.46614
$424$	9.47041e21	0.440310
$425$	6.45331e20	0.0294088
$426$	5.27211e21	0.235506
$427$	−3.85126e21	−0.168642
$428$	−1.65854e22	−0.711956
$429$	2.82755e21	0.118993
$430$	−2.76202e21	−0.113958
$431$	−3.38140e22	−1.36786	−0.683928	−	0.729550i	$-0.739730\pi$
$431$	−3.38140e22	−1.36786	−0.683928	+	0.729550i	$0.739730\pi$
$432$	−4.70646e21	−0.186674
$433$	−3.29275e22	−1.28059	−0.640297	−	0.768127i	$-0.721189\pi$
$433$	−3.29275e22	−1.28059	−0.640297	+	0.768127i	$0.721189\pi$
$434$	3.79614e20	0.0144770
$435$	1.33218e22	0.498202
$436$	−1.68174e22	−0.616769
$437$	−7.98327e21	−0.287137
$438$	−7.26656e21	−0.256330
$439$	5.56365e22	1.92492	0.962458	−	0.271431i	$-0.0874969\pi$
$439$	5.56365e22	1.92492	0.962458	+	0.271431i	$0.0874969\pi$
$440$	8.37414e21	0.284179
$441$	−3.58053e21	−0.119184
$442$	4.58905e21	0.149842
$443$	5.56643e22	1.78297	0.891486	−	0.453047i	$-0.149663\pi$
$443$	5.56643e22	1.78297	0.891486	+	0.453047i	$0.149663\pi$
$444$	−1.22654e22	−0.385413
$445$	−2.50985e22	−0.773727
$446$	−3.77772e22	−1.14257
$447$	−6.38845e21	−0.189575
$448$	1.62265e21	0.0472456
$449$	1.18632e22	0.338929	0.169464	−	0.985536i	$-0.445796\pi$
$449$	1.18632e22	0.338929	0.169464	+	0.985536i	$0.445796\pi$
$450$	1.03559e21	0.0290323
$451$	1.70031e22	0.467766
$452$	−2.59451e22	−0.700452
$453$	−1.47851e22	−0.391732
$454$	3.31334e22	0.861571
$455$	5.12084e21	0.130691
$456$	−2.73594e21	−0.0685340
$457$	4.34385e22	1.06804	0.534020	−	0.845472i	$-0.320681\pi$
$457$	4.34385e22	1.06804	0.534020	+	0.845472i	$0.320681\pi$
$458$	2.66168e22	0.642392
$459$	1.88342e22	0.446210
$460$	−1.26405e22	−0.293984
$461$	−6.26308e22	−1.42998	−0.714990	−	0.699135i	$-0.753569\pi$
$461$	−6.26308e22	−1.42998	−0.714990	+	0.699135i	$0.753569\pi$
$462$	−4.00096e21	−0.0896824
$463$	2.05825e22	0.452960	0.226480	−	0.974016i	$-0.427278\pi$
$463$	2.05825e22	0.452960	0.226480	+	0.974016i	$0.427278\pi$
$464$	−1.45222e22	−0.313783
$465$	−1.01347e21	−0.0215011
$466$	4.48098e22	0.933454
$467$	−1.66781e22	−0.341156	−0.170578	−	0.985344i	$-0.554564\pi$
$467$	−1.66781e22	−0.341156	−0.170578	+	0.985344i	$0.554564\pi$
$468$	7.36425e21	0.147924
$469$	1.91905e21	0.0378544
$470$	−6.25484e22	−1.21167
$471$	3.23152e22	0.614793
$472$	3.02389e22	0.565013
$473$	−7.42394e21	−0.136243
$474$	9.22418e20	0.0166269
$475$	1.32358e21	0.0234345
$476$	−6.49347e21	−0.112932
$477$	−6.08173e22	−1.03901
$478$	−7.70801e21	−0.129361
$479$	7.09578e22	1.16990	0.584949	−	0.811070i	$-0.301114\pi$
$479$	7.09578e22	1.16990	0.584949	+	0.811070i	$0.301114\pi$
$480$	−4.33204e21	−0.0701684
$481$	4.21955e22	0.671480
$482$	7.90484e22	1.23593
$483$	6.03933e21	0.0927766
$484$	−1.06164e22	−0.160248
$485$	3.79681e22	0.563137
$486$	4.67013e22	0.680645
$487$	7.04652e22	1.00920	0.504601	−	0.863353i	$-0.331640\pi$
$487$	7.04652e22	1.00920	0.504601	+	0.863353i	$0.331640\pi$
$488$	−1.12083e22	−0.157750
$489$	−2.13102e22	−0.294755
$490$	−7.24595e21	−0.0984983
$491$	−3.94985e22	−0.527701	−0.263851	−	0.964564i	$-0.584993\pi$
$491$	−3.94985e22	−0.527701	−0.263851	+	0.964564i	$0.584993\pi$
$492$	−8.79591e21	−0.115499
$493$	5.81145e22	0.750042
$494$	9.41221e21	0.119402
$495$	−5.37773e22	−0.670586
$496$	1.10479e21	0.0135420
$497$	2.56639e22	0.309238
$498$	−1.05218e22	−0.124635
$499$	−4.17296e22	−0.485948	−0.242974	−	0.970033i	$-0.578123\pi$
$499$	−4.17296e22	−0.485948	−0.242974	+	0.970033i	$0.578123\pi$
$500$	4.46807e22	0.511535
$501$	−6.09203e22	−0.685712
$502$	3.66360e22	0.405440
$503$	−1.38665e23	−1.50883	−0.754414	−	0.656399i	$-0.772079\pi$
$503$	−1.38665e23	−1.50883	−0.754414	+	0.656399i	$0.772079\pi$
$504$	−1.04204e22	−0.111487
$505$	−1.04653e22	−0.110096
$506$	−3.39761e22	−0.351474
$507$	−3.49848e22	−0.355886
$508$	5.84203e21	0.0584416
$509$	−2.19343e22	−0.215786	−0.107893	−	0.994163i	$-0.534410\pi$
$509$	−2.19343e22	−0.215786	−0.107893	+	0.994163i	$0.534410\pi$
$510$	1.73358e22	0.167725
$511$	−3.53727e22	−0.336581
$512$	4.72237e21	0.0441942
$513$	3.86293e22	0.355565
$514$	9.27633e22	0.839827
$515$	−1.76057e23	−1.56780
$516$	3.84048e21	0.0336406
$517$	−1.68122e23	−1.44862
$518$	−5.97063e22	−0.506078
$519$	−9.59495e22	−0.800056
$520$	1.49031e22	0.122250
$521$	9.98024e22	0.805416	0.402708	−	0.915328i	$-0.368069\pi$
$521$	9.98024e22	0.805416	0.402708	+	0.915328i	$0.368069\pi$
$522$	9.32589e22	0.740442
$523$	5.32851e22	0.416237	0.208119	−	0.978104i	$-0.433266\pi$
$523$	5.32851e22	0.416237	0.208119	+	0.978104i	$0.433266\pi$
$524$	1.54683e22	0.118885
$525$	−1.00129e21	−0.00757192
$526$	−1.42318e23	−1.05896
$527$	−4.42110e21	−0.0323698
$528$	−1.16439e22	−0.0838902
$529$	−8.97641e22	−0.636399
$530$	−1.23077e23	−0.858679
$531$	−1.94189e23	−1.33328
$532$	−1.33182e22	−0.0899905
$533$	3.02598e22	0.201226
$534$	3.48985e22	0.228405
$535$	2.15542e23	1.38843
$536$	5.58498e21	0.0354096
$537$	−4.07442e22	−0.254264
$538$	1.48816e23	0.914116
$539$	−1.94761e22	−0.117760
$540$	6.11648e22	0.364044
$541$	2.35607e23	1.38042	0.690211	−	0.723608i	$-0.257518\pi$
$541$	2.35607e23	1.38042	0.690211	+	0.723608i	$0.257518\pi$
$542$	−1.56602e23	−0.903241
$543$	−7.34590e22	−0.417106
$544$	−1.88978e22	−0.105638
$545$	2.18557e23	1.20280
$546$	−7.12033e21	−0.0385800
$547$	2.08672e23	1.11320	0.556598	−	0.830782i	$-0.312107\pi$
$547$	2.08672e23	1.11320	0.556598	+	0.830782i	$0.312107\pi$
$548$	−6.20974e21	−0.0326166
$549$	7.19775e22	0.372248
$550$	5.63306e21	0.0286854
$551$	1.19194e23	0.597675
$552$	1.75762e22	0.0867846
$553$	4.49021e21	0.0218325
$554$	−1.68275e23	−0.805724
$555$	1.59400e23	0.751619
$556$	4.25788e22	0.197723
$557$	−7.13683e22	−0.326390	−0.163195	−	0.986594i	$-0.552180\pi$
$557$	−7.13683e22	−0.326390	−0.163195	+	0.986594i	$0.552180\pi$
$558$	−7.09474e21	−0.0319555
$559$	−1.32121e22	−0.0586098
$560$	−2.10878e22	−0.0921367
$561$	4.65964e22	0.200525
$562$	6.97225e22	0.295538
$563$	2.08292e23	0.869663	0.434831	−	0.900512i	$-0.356808\pi$
$563$	2.08292e23	0.869663	0.434831	+	0.900512i	$0.356808\pi$
$564$	8.69711e22	0.357687
$565$	3.37180e23	1.36600
$566$	−1.77997e23	−0.710350
$567$	5.09861e22	0.200445
$568$	7.46893e22	0.289266
$569$	7.04765e22	0.268900	0.134450	−	0.990920i	$-0.457073\pi$
$569$	7.04765e22	0.268900	0.134450	+	0.990920i	$0.457073\pi$
$570$	3.55561e22	0.133653
$571$	−2.65667e23	−0.983855	−0.491927	−	0.870636i	$-0.663707\pi$
$571$	−2.65667e23	−0.983855	−0.491927	+	0.870636i	$0.663707\pi$
$572$	4.00575e22	0.146156
$573$	1.64370e23	0.590892
$574$	−4.28173e22	−0.151659
$575$	−8.50294e21	−0.0296751
$576$	−3.03262e22	−0.104286
$577$	−4.30452e23	−1.45858	−0.729290	−	0.684204i	$-0.760150\pi$
$577$	−4.30452e23	−1.45858	−0.729290	+	0.684204i	$0.760150\pi$
$578$	−1.36149e23	−0.454597
$579$	6.11694e22	0.201264
$580$	1.88729e23	0.611928
$581$	−5.12187e22	−0.163656
$582$	−5.27932e22	−0.166239
$583$	−3.30813e23	−1.02660
$584$	−1.02945e23	−0.314843
$585$	−9.57051e22	−0.288476
$586$	1.16851e23	0.347139
$587$	−4.53693e23	−1.32843	−0.664215	−	0.747542i	$-0.731234\pi$
$587$	−4.53693e23	−1.32843	−0.664215	+	0.747542i	$0.731234\pi$
$588$	1.00752e22	0.0290768
$589$	−9.06776e21	−0.0257941
$590$	−3.92982e23	−1.10187
$591$	−1.85249e23	−0.511990
$592$	−1.73762e23	−0.473392
$593$	6.16417e23	1.65543	0.827713	−	0.561152i	$-0.189642\pi$
$593$	6.16417e23	1.65543	0.827713	+	0.561152i	$0.189642\pi$
$594$	1.64403e23	0.435235
$595$	8.43885e22	0.220236
$596$	−9.05044e22	−0.232850
$597$	4.68973e22	0.118950
$598$	−6.04657e22	−0.151199
$599$	5.82398e23	1.43579	0.717897	−	0.696149i	$-0.245105\pi$
$599$	5.82398e23	1.43579	0.717897	+	0.696149i	$0.245105\pi$
$600$	−2.91404e21	−0.00708288
$601$	−6.39967e22	−0.153365	−0.0766823	−	0.997056i	$-0.524433\pi$
$601$	−6.39967e22	−0.153365	−0.0766823	+	0.997056i	$0.524433\pi$
$602$	1.86950e22	0.0441728
$603$	−3.58657e22	−0.0835569
$604$	−2.09459e23	−0.481154
$605$	1.37970e23	0.312510
$606$	1.45515e22	0.0325006
$607$	−5.46852e23	−1.20439	−0.602193	−	0.798350i	$-0.705706\pi$
$607$	−5.46852e23	−1.20439	−0.602193	+	0.798350i	$0.705706\pi$
$608$	−3.87598e22	−0.0841784
$609$	−9.01700e22	−0.193115
$610$	1.45662e23	0.307639
$611$	−2.99199e23	−0.623174
$612$	1.21359e23	0.249278
$613$	5.75296e22	0.116541	0.0582703	−	0.998301i	$-0.481441\pi$
$613$	5.75296e22	0.116541	0.0582703	+	0.998301i	$0.481441\pi$
$614$	−2.85507e23	−0.570407
$615$	1.14311e23	0.225242
$616$	−5.66811e22	−0.110154
$617$	4.76325e22	0.0913019	0.0456509	−	0.998957i	$-0.485464\pi$
$617$	4.76325e22	0.0913019	0.0456509	+	0.998957i	$0.485464\pi$
$618$	2.44800e23	0.462817
$619$	−7.00624e23	−1.30651	−0.653257	−	0.757136i	$-0.726598\pi$
$619$	−7.00624e23	−1.30651	−0.653257	+	0.757136i	$0.726598\pi$
$620$	−1.43577e22	−0.0264092
$621$	−2.48161e23	−0.450252
$622$	9.56928e22	0.171262
$623$	1.69881e23	0.299914
$624$	−2.07222e22	−0.0360883
$625$	−5.52021e23	−0.948365
$626$	4.32992e23	0.733835
$627$	9.55699e22	0.159789
$628$	4.57805e23	0.755133
$629$	6.95358e23	1.13156
$630$	1.35422e23	0.217417
$631$	−9.23685e22	−0.146310	−0.0731550	−	0.997321i	$-0.523307\pi$
$631$	−9.23685e22	−0.146310	−0.0731550	+	0.997321i	$0.523307\pi$
$632$	1.30678e22	0.0204224
$633$	−4.21565e23	−0.650030
$634$	2.70468e22	0.0411488
$635$	−7.59225e22	−0.113971
$636$	1.71133e23	0.253483
$637$	−3.46608e22	−0.0506587
$638$	5.07278e23	0.731594
$639$	−4.79641e23	−0.682589
$640$	−6.13715e22	−0.0861860
$641$	1.04072e24	1.44226	0.721128	−	0.692802i	$-0.243624\pi$
$641$	1.04072e24	1.44226	0.721128	+	0.692802i	$0.243624\pi$
$642$	−2.99703e23	−0.409867
$643$	−2.29752e23	−0.310074	−0.155037	−	0.987909i	$-0.549550\pi$
$643$	−2.29752e23	−0.310074	−0.155037	+	0.987909i	$0.549550\pi$
$644$	8.55585e22	0.113955
$645$	−4.99106e22	−0.0656047
$646$	1.55108e23	0.201214
$647$	−2.11484e23	−0.270764	−0.135382	−	0.990793i	$-0.543226\pi$
$647$	−2.11484e23	−0.270764	−0.135382	+	0.990793i	$0.543226\pi$
$648$	1.48384e23	0.187499
$649$	−1.05628e24	−1.31735
$650$	1.00249e22	0.0123400
$651$	6.85975e21	0.00833432
$652$	−3.01899e23	−0.362040
$653$	1.59813e24	1.89169	0.945846	−	0.324616i	$-0.105235\pi$
$653$	1.59813e24	1.89169	0.945846	+	0.324616i	$0.105235\pi$
$654$	−3.03895e23	−0.355069
$655$	−2.01025e23	−0.231845
$656$	−1.24611e23	−0.141864
$657$	6.61092e23	0.742944
$658$	4.23364e23	0.469671
$659$	7.23598e23	0.792449	0.396225	−	0.918154i	$-0.370320\pi$
$659$	7.23598e23	0.792449	0.396225	+	0.918154i	$0.370320\pi$
$660$	1.51323e23	0.163600
$661$	−1.03370e24	−1.10327	−0.551635	−	0.834085i	$-0.685996\pi$
$661$	−1.03370e24	−1.10327	−0.551635	+	0.834085i	$0.685996\pi$
$662$	9.98209e23	1.05179
$663$	8.29255e22	0.0862628
$664$	−1.49061e23	−0.153086
$665$	1.73082e23	0.175496
$666$	1.11587e24	1.11708
$667$	−7.65722e23	−0.756836
$668$	−8.63051e23	−0.842242
$669$	−6.82646e23	−0.657769
$670$	−7.25819e22	−0.0690546
$671$	3.91519e23	0.367800
$672$	2.93217e22	0.0271989
$673$	1.80118e24	1.64979	0.824894	−	0.565288i	$-0.191235\pi$
$673$	1.80118e24	1.64979	0.824894	+	0.565288i	$0.191235\pi$
$674$	−1.93343e23	−0.174872
$675$	4.11439e22	0.0367471
$676$	−4.95625e23	−0.437126
$677$	−6.64336e23	−0.578607	−0.289304	−	0.957237i	$-0.593424\pi$
$677$	−6.64336e23	−0.578607	−0.289304	+	0.957237i	$0.593424\pi$
$678$	−4.68835e23	−0.403244
$679$	−2.56990e23	−0.218285
$680$	2.45595e23	0.206012
$681$	5.98731e23	0.495999
$682$	−3.85916e22	−0.0315737
$683$	1.95301e24	1.57807	0.789037	−	0.614346i	$-0.210580\pi$
$683$	1.95301e24	1.57807	0.789037	+	0.614346i	$0.210580\pi$
$684$	2.48908e23	0.198638
$685$	8.07012e22	0.0636078
$686$	4.90448e22	0.0381802
$687$	4.80975e23	0.369820
$688$	5.44077e22	0.0413198
$689$	−5.88734e23	−0.441627
$690$	−2.28419e23	−0.169244
$691$	−1.23135e24	−0.901191	−0.450596	−	0.892728i	$-0.648788\pi$
$691$	−1.23135e24	−0.901191	−0.450596	+	0.892728i	$0.648788\pi$
$692$	−1.35931e24	−0.982687
$693$	3.63996e23	0.259934
$694$	−5.76600e23	−0.406742
$695$	−5.53351e23	−0.385593
$696$	−2.62420e23	−0.180642
$697$	4.98664e23	0.339101
$698$	−3.33534e23	−0.224062
$699$	8.09727e23	0.537381
$700$	−1.41852e22	−0.00930039
$701$	−2.90425e24	−1.88118	−0.940590	−	0.339546i	$-0.889727\pi$
$701$	−2.90425e24	−1.88118	−0.940590	+	0.339546i	$0.889727\pi$
$702$	2.92580e23	0.187232
$703$	1.42619e24	0.901690
$704$	−1.64958e23	−0.103040
$705$	−1.13027e24	−0.697548
$706$	−1.46048e24	−0.890542
$707$	7.08350e22	0.0426759
$708$	5.46426e23	0.325273
$709$	−3.18762e24	−1.87488	−0.937441	−	0.348144i	$-0.886812\pi$
$709$	−3.18762e24	−1.87488	−0.937441	+	0.348144i	$0.886812\pi$
$710$	−9.70655e23	−0.564117
$711$	−8.39190e22	−0.0481913
$712$	4.94403e23	0.280544
$713$	5.82529e22	0.0326630
$714$	−1.17339e23	−0.0650141
$715$	−5.20584e23	−0.285029
$716$	−5.77218e23	−0.312305
$717$	−1.39286e23	−0.0744723
$718$	5.63922e23	0.297962
$719$	6.18265e23	0.322834	0.161417	−	0.986886i	$-0.448394\pi$
$719$	6.18265e23	0.322834	0.161417	+	0.986886i	$0.448394\pi$
$720$	3.94117e23	0.203375
$721$	1.19165e24	0.607715
$722$	−1.08485e24	−0.546769
$723$	1.42843e24	0.711513
$724$	−1.04068e24	−0.512320
$725$	1.26953e23	0.0617688
$726$	−1.91842e23	−0.0922534
$727$	2.18328e24	1.03769	0.518844	−	0.854869i	$-0.326363\pi$
$727$	2.18328e24	1.03769	0.518844	+	0.854869i	$0.326363\pi$
$728$	−1.00873e23	−0.0473868
$729$	−2.98258e23	−0.138487
$730$	1.33786e24	0.613996
$731$	−2.17727e23	−0.0987678
$732$	−2.02537e23	−0.0908155
$733$	8.04758e23	0.356682	0.178341	−	0.983969i	$-0.442927\pi$
$733$	8.04758e23	0.356682	0.178341	+	0.983969i	$0.442927\pi$
$734$	−2.64040e24	−1.15679
$735$	−1.30937e23	−0.0567046
$736$	2.49000e23	0.106595
$737$	−1.95090e23	−0.0825585
$738$	8.00227e23	0.334760
$739$	1.16362e24	0.481207	0.240603	−	0.970624i	$-0.422655\pi$
$739$	1.16362e24	0.481207	0.240603	+	0.970624i	$0.422655\pi$
$740$	2.25820e24	0.923194
$741$	1.70082e23	0.0687389
$742$	8.33054e23	0.332843
$743$	1.26393e24	0.499251	0.249626	−	0.968342i	$-0.419692\pi$
$743$	1.26393e24	0.499251	0.249626	+	0.968342i	$0.419692\pi$
$744$	1.99638e22	0.00779604
$745$	1.17619e24	0.454097
$746$	−3.01822e24	−1.15205
$747$	9.57243e23	0.361241
$748$	6.60125e23	0.246299
$749$	−1.45891e24	−0.538188
$750$	8.07395e23	0.294486
$751$	−2.91312e24	−1.05055	−0.525277	−	0.850931i	$-0.676038\pi$
$751$	−2.91312e24	−1.05055	−0.525277	+	0.850931i	$0.676038\pi$
$752$	1.23211e24	0.439337
$753$	6.62024e23	0.233408
$754$	9.02781e23	0.314721
$755$	2.72211e24	0.938331
$756$	−4.13999e23	−0.141112
$757$	−1.93112e24	−0.650869	−0.325435	−	0.945565i	$-0.605511\pi$
$757$	−1.93112e24	−0.650869	−0.325435	+	0.945565i	$0.605511\pi$
$758$	3.65032e24	1.21659
$759$	−6.13958e23	−0.202341
$760$	5.03719e23	0.164162
$761$	2.96609e24	0.955906	0.477953	−	0.878385i	$-0.341379\pi$
$761$	2.96609e24	0.955906	0.477953	+	0.878385i	$0.341379\pi$
$762$	1.05567e23	0.0336444
$763$	−1.47932e24	−0.466234
$764$	2.32861e24	0.725777
$765$	−1.57717e24	−0.486133
$766$	−6.27847e23	−0.191386
$767$	−1.87982e24	−0.566703
$768$	8.53346e22	0.0254422
$769$	3.05114e24	0.899679	0.449840	−	0.893109i	$-0.351481\pi$
$769$	3.05114e24	0.899679	0.449840	+	0.893109i	$0.351481\pi$
$770$	7.36622e23	0.214819
$771$	1.67626e24	0.483481
$772$	8.66580e23	0.247208
$773$	2.85287e24	0.804928	0.402464	−	0.915436i	$-0.368154\pi$
$773$	2.85287e24	0.804928	0.402464	+	0.915436i	$0.368154\pi$
$774$	−3.49397e23	−0.0975035
$775$	−9.65803e21	−0.00266578
$776$	−7.47915e23	−0.204187
$777$	−1.07891e24	−0.291345
$778$	7.62378e23	0.203631
$779$	1.02277e24	0.270214
$780$	2.69304e23	0.0703782
$781$	−2.60899e24	−0.674433
$782$	−9.96441e23	−0.254797
$783$	3.70516e24	0.937199
$784$	1.42734e23	0.0357143
$785$	−5.94960e24	−1.47264
$786$	2.79517e23	0.0684411
$787$	2.98962e24	0.724155	0.362077	−	0.932148i	$-0.382068\pi$
$787$	2.98962e24	0.724155	0.362077	+	0.932148i	$0.382068\pi$
$788$	−2.62440e24	−0.628864
$789$	−2.57173e24	−0.609636
$790$	−1.69828e23	−0.0398271
$791$	−2.28223e24	−0.529492
$792$	1.05933e24	0.243146
$793$	6.96769e23	0.158222
$794$	9.15815e23	0.205747
$795$	−2.22403e24	−0.494334
$796$	6.64388e23	0.146104
$797$	−7.37843e24	−1.60535	−0.802673	−	0.596420i	$-0.796589\pi$
$797$	−7.37843e24	−1.60535	−0.802673	+	0.596420i	$0.796589\pi$
$798$	−2.40664e23	−0.0518068
$799$	−4.93063e24	−1.05016
$800$	−4.12829e22	−0.00869972
$801$	−3.17497e24	−0.662008
$802$	−3.67800e24	−0.758804
$803$	3.59598e24	0.734066
$804$	1.00922e23	0.0203850
$805$	−1.11191e24	−0.222231
$806$	−6.86797e22	−0.0135825
$807$	2.68916e24	0.526249
$808$	2.06150e23	0.0399197
$809$	−2.81011e24	−0.538470	−0.269235	−	0.963075i	$-0.586771\pi$
$809$	−2.81011e24	−0.538470	−0.269235	+	0.963075i	$0.586771\pi$
$810$	−1.92839e24	−0.365655
$811$	−9.14240e24	−1.71547	−0.857735	−	0.514092i	$-0.828129\pi$
$811$	−9.14240e24	−1.71547	−0.857735	+	0.514092i	$0.828129\pi$
$812$	−1.27743e24	−0.237197
$813$	−2.82985e24	−0.519988
$814$	6.06974e24	1.10373
$815$	3.92345e24	0.706038
$816$	−3.41490e23	−0.0608151
$817$	−4.46562e23	−0.0787036
$818$	−3.93641e24	−0.686590
$819$	6.47788e23	0.111820
$820$	1.61943e24	0.276658
$821$	−7.12480e24	−1.20464	−0.602318	−	0.798256i	$-0.705756\pi$
$821$	−7.12480e24	−1.20464	−0.602318	+	0.798256i	$0.705756\pi$
$822$	−1.12212e23	−0.0187771
$823$	6.28329e24	1.04061	0.520306	−	0.853980i	$-0.325818\pi$
$823$	6.28329e24	1.04061	0.520306	+	0.853980i	$0.325818\pi$
$824$	3.46805e24	0.568466
$825$	1.01791e23	0.0165140
$826$	2.65993e24	0.427110
$827$	−2.00475e24	−0.318613	−0.159306	−	0.987229i	$-0.550926\pi$
$827$	−2.00475e24	−0.318613	−0.159306	+	0.987229i	$0.550926\pi$
$828$	−1.59903e24	−0.251536
$829$	1.05281e25	1.63922	0.819612	−	0.572919i	$-0.194189\pi$
$829$	1.05281e25	1.63922	0.819612	+	0.572919i	$0.194189\pi$
$830$	1.93718e24	0.298543
$831$	−3.04078e24	−0.463848
$832$	−2.93569e23	−0.0443263
$833$	−5.71191e23	−0.0853687
$834$	7.69413e23	0.113828
$835$	1.12161e25	1.64251
$836$	1.35393e24	0.196265
$837$	−2.81873e23	−0.0404470
$838$	4.10371e24	0.582911
$839$	4.62665e24	0.650564	0.325282	−	0.945617i	$-0.394541\pi$
$839$	4.62665e24	0.650564	0.325282	+	0.945617i	$0.394541\pi$
$840$	−3.81063e23	−0.0530423
$841$	4.17542e24	0.575353
$842$	−1.78819e24	−0.243928
$843$	1.25991e24	0.170139
$844$	−5.97226e24	−0.798414
$845$	6.44110e24	0.852468
$846$	−7.91239e24	−1.03672
$847$	−9.33861e23	−0.121136
$848$	2.42442e24	0.311347
$849$	−3.21646e24	−0.408942
$850$	1.65205e23	0.0207951
$851$	−9.16210e24	−1.14181
$852$	1.34966e24	0.166528
$853$	3.59691e24	0.439402	0.219701	−	0.975567i	$-0.429492\pi$
$853$	3.59691e24	0.439402	0.219701	+	0.975567i	$0.429492\pi$
$854$	−9.85923e23	−0.119248
$855$	−3.23479e24	−0.387377
$856$	−4.24586e24	−0.503429
$857$	1.35834e25	1.59468	0.797339	−	0.603532i	$-0.206240\pi$
$857$	1.35834e25	1.59468	0.797339	+	0.603532i	$0.206240\pi$
$858$	7.23852e23	0.0841410
$859$	−4.07421e24	−0.468923	−0.234461	−	0.972125i	$-0.575333\pi$
$859$	−4.07421e24	−0.468923	−0.234461	+	0.972125i	$0.575333\pi$
$860$	−7.07078e23	−0.0805805
$861$	−7.73722e23	−0.0873089
$862$	−8.65639e24	−0.967220
$863$	−2.73043e23	−0.0302092	−0.0151046	−	0.999886i	$-0.504808\pi$
$863$	−2.73043e23	−0.0302092	−0.0151046	+	0.999886i	$0.504808\pi$
$864$	−1.20485e24	−0.131998
$865$	1.76654e25	1.91640
$866$	−8.42944e24	−0.905517
$867$	−2.46025e24	−0.261708
$868$	9.71813e22	0.0102368
$869$	−4.56474e23	−0.0476155
$870$	3.41039e24	0.352282
$871$	−3.47194e23	−0.0355155
$872$	−4.30524e24	−0.436122
$873$	4.80298e24	0.481825
$874$	−2.04372e24	−0.203036
$875$	3.93029e24	0.386684
$876$	−1.86024e24	−0.181253
$877$	4.03016e24	0.388890	0.194445	−	0.980913i	$-0.437709\pi$
$877$	4.03016e24	0.388890	0.194445	+	0.980913i	$0.437709\pi$
$878$	1.42430e25	1.36112
$879$	2.11154e24	0.199845
$880$	2.14378e24	0.200945
$881$	8.29994e24	0.770512	0.385256	−	0.922810i	$-0.374113\pi$
$881$	8.29994e24	0.770512	0.385256	+	0.922810i	$0.374113\pi$
$882$	−9.16615e23	−0.0842760
$883$	1.11122e25	1.01189	0.505946	−	0.862565i	$-0.331143\pi$
$883$	1.11122e25	1.01189	0.505946	+	0.862565i	$0.331143\pi$
$884$	1.17480e24	0.105954
$885$	−7.10130e24	−0.634337
$886$	1.42500e25	1.26075
$887$	−1.61130e25	−1.41197	−0.705985	−	0.708227i	$-0.749495\pi$
$887$	−1.61130e25	−1.41197	−0.705985	+	0.708227i	$0.749495\pi$
$888$	−3.13994e24	−0.272528
$889$	5.13888e23	0.0441777
$890$	−6.42522e24	−0.547108
$891$	−5.18324e24	−0.437161
$892$	−9.67096e24	−0.807920
$893$	−1.01128e25	−0.836823
$894$	−1.63544e24	−0.134050
$895$	7.50148e24	0.609047
$896$	4.15398e23	0.0334077
$897$	−1.09263e24	−0.0870441
$898$	3.03698e24	0.239659
$899$	−8.69742e23	−0.0679881
$900$	2.65111e23	0.0205290
$901$	−9.70200e24	−0.744219
$902$	4.35280e24	0.330760
$903$	3.37824e23	0.0254299
$904$	−6.64194e24	−0.495294
$905$	1.35246e25	0.999109
$906$	−3.78498e24	−0.276997
$907$	−7.26226e24	−0.526514	−0.263257	−	0.964726i	$-0.584797\pi$
$907$	−7.26226e24	−0.526514	−0.263257	+	0.964726i	$0.584797\pi$
$908$	8.48215e24	0.609223
$909$	−1.32386e24	−0.0941995
$910$	1.31094e24	0.0924122
$911$	−2.63492e25	−1.84019	−0.920093	−	0.391700i	$-0.871887\pi$
$911$	−2.63492e25	−1.84019	−0.920093	+	0.391700i	$0.871887\pi$
$912$	−7.00401e23	−0.0484608
$913$	5.20689e24	0.356925
$914$	1.11203e25	0.755218
$915$	2.63215e24	0.177105
$916$	6.81391e24	0.454240
$917$	1.36065e24	0.0898686
$918$	4.82156e24	0.315518
$919$	8.93797e24	0.579505	0.289752	−	0.957102i	$-0.406427\pi$
$919$	8.93797e24	0.579505	0.289752	+	0.957102i	$0.406427\pi$
$920$	−3.23598e24	−0.207878
$921$	−5.15919e24	−0.328379
$922$	−1.60335e25	−1.01115
$923$	−4.64311e24	−0.290131
$924$	−1.02424e24	−0.0634150
$925$	1.51903e24	0.0931883
$926$	5.26912e24	0.320291
$927$	−2.22712e25	−1.34142
$928$	−3.71768e24	−0.221878
$929$	−2.94539e24	−0.174184	−0.0870921	−	0.996200i	$-0.527757\pi$
$929$	−2.94539e24	−0.174184	−0.0870921	+	0.996200i	$0.527757\pi$
$930$	−2.59448e23	−0.0152036
$931$	−1.17152e24	−0.0680265
$932$	1.14713e25	0.660051
$933$	1.72920e24	0.0985942
$934$	−4.26960e24	−0.241234
$935$	−8.57893e24	−0.480324
$936$	1.88525e24	0.104598
$937$	−6.74689e24	−0.370951	−0.185476	−	0.982649i	$-0.559383\pi$
$937$	−6.74689e24	−0.370951	−0.185476	+	0.982649i	$0.559383\pi$
$938$	4.91276e23	0.0267671
$939$	7.82431e24	0.422463
$940$	−1.60124e25	−0.856780
$941$	−1.98031e25	−1.05008	−0.525039	−	0.851078i	$-0.675949\pi$
$941$	−1.98031e25	−1.05008	−0.525039	+	0.851078i	$0.675949\pi$
$942$	8.27268e24	0.434724
$943$	−6.57044e24	−0.342172
$944$	7.74115e24	0.399525
$945$	5.38029e24	0.275192
$946$	−1.90053e24	−0.0963385
$947$	−1.17733e25	−0.591459	−0.295730	−	0.955272i	$-0.595563\pi$
$947$	−1.17733e25	−0.591459	−0.295730	+	0.955272i	$0.595563\pi$
$948$	2.36139e23	0.0117570
$949$	6.39961e24	0.315785
$950$	3.38838e23	0.0165707
$951$	4.88745e23	0.0236890
$952$	−1.66233e24	−0.0798551
$953$	1.89918e25	0.904227	0.452113	−	0.891960i	$-0.350670\pi$
$953$	1.89918e25	0.904227	0.452113	+	0.891960i	$0.350670\pi$
$954$	−1.55692e25	−0.734693
$955$	−3.02624e25	−1.41539
$956$	−1.97325e24	−0.0914724
$957$	9.16667e24	0.421173
$958$	1.81652e25	0.827243
$959$	−5.46233e23	−0.0246558
$960$	−1.10900e24	−0.0496166
$961$	−2.24840e25	−0.997066
$962$	1.08020e25	0.474808
$963$	2.72661e25	1.18795
$964$	2.02364e25	0.873933
$965$	−1.12620e25	−0.482096
$966$	1.54607e24	0.0656030
$967$	2.69957e25	1.13545	0.567726	−	0.823217i	$-0.307823\pi$
$967$	2.69957e25	1.13545	0.567726	+	0.823217i	$0.307823\pi$
$968$	−2.71780e24	−0.113312
$969$	2.80285e24	0.115837
$970$	9.71984e24	0.398198
$971$	4.08743e24	0.165992	0.0829960	−	0.996550i	$-0.473551\pi$
$971$	4.08743e24	0.165992	0.0829960	+	0.996550i	$0.473551\pi$
$972$	1.19555e25	0.481289
$973$	3.74540e24	0.149465
$974$	1.80391e25	0.713614
$975$	1.81153e23	0.00710406
$976$	−2.86932e24	−0.111546
$977$	4.98936e23	0.0192283	0.00961414	−	0.999954i	$-0.496940\pi$
$977$	4.98936e23	0.0192283	0.00961414	+	0.999954i	$0.496940\pi$
$978$	−5.45540e24	−0.208423
$979$	−1.72701e25	−0.654098
$980$	−1.85496e24	−0.0696488
$981$	2.76475e25	1.02913
$982$	−1.01116e25	−0.373141
$983$	1.21973e25	0.446231	0.223115	−	0.974792i	$-0.428377\pi$
$983$	1.21973e25	0.446231	0.223115	+	0.974792i	$0.428377\pi$
$984$	−2.25175e24	−0.0816700
$985$	3.41064e25	1.22639
$986$	1.48773e25	0.530360
$987$	7.65032e24	0.270386
$988$	2.40953e24	0.0844302
$989$	2.86880e24	0.0996624
$990$	−1.37670e25	−0.474176
$991$	2.03723e25	0.695688	0.347844	−	0.937552i	$-0.386914\pi$
$991$	2.03723e25	0.695688	0.347844	+	0.937552i	$0.386914\pi$
$992$	2.82825e23	0.00957567
$993$	1.80380e25	0.605506
$994$	6.56996e24	0.218665
$995$	−8.63433e24	−0.284926
$996$	−2.69358e24	−0.0881303
$997$	−4.40015e25	−1.42744	−0.713722	−	0.700429i	$-0.752992\pi$
$997$	−4.40015e25	−1.42744	−0.713722	+	0.700429i	$0.752992\pi$
$998$	−1.06828e25	−0.343617
$999$	4.43334e25	1.41392

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	14.18.a.a.1.1	✓	1
4.3	odd	2		112.18.a.a.1.1		1
7.6	odd	2		98.18.a.b.1.1		1

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
14.18.a.a.1.1	✓	1	1.1	even	1	trivial
98.18.a.b.1.1		1	7.6	odd	2
112.18.a.a.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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 14 = 2 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 18 \)
Character orbit:	\([\chi]\)	\(=\)	14.a (trivial)

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

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