LMFDB - Embedded newform 322.2.k.a.111.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [322,2,Mod(83,322)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(322, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 21]))

N = Newforms(chi, 2, names="a")

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

chi := DirichletCharacter("322.83");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 322 = 2 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	322.k (of order $22$, degree $10$, minimal)

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:	no
Analytic conductor:	$2.57118294509$
Analytic rank:	$0$
Dimension:	$80$
Relative dimension:	$8$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			111.3
Character	$\chi$	$=$	322.111
Dual form			322.2.k.a.293.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.415415 + 0.909632i) q^{2} +(-0.229469 - 0.781499i) q^{3} +(-0.654861 + 0.755750i) q^{4} +(-1.74460 - 1.12119i) q^{5} +(0.615551 - 0.533378i) q^{6} +(-0.251104 - 2.63381i) q^{7} +(-0.959493 - 0.281733i) q^{8} +(1.96568 - 1.26326i) q^{9} +O(q^{10})$	\(q+(0.415415 + 0.909632i) q^{2} +(-0.229469 - 0.781499i) q^{3} +(-0.654861 + 0.755750i) q^{4} +(-1.74460 - 1.12119i) q^{5} +(0.615551 - 0.533378i) q^{6} +(-0.251104 - 2.63381i) q^{7} +(-0.959493 - 0.281733i) q^{8} +(1.96568 - 1.26326i) q^{9} +(0.295134 - 2.05270i) q^{10} +(-4.40631 - 2.01230i) q^{11} +(0.740887 + 0.338352i) q^{12} +(-3.37544 - 0.485315i) q^{13} +(2.29148 - 1.32254i) q^{14} +(-0.475875 + 1.62068i) q^{15} +(-0.142315 - 0.989821i) q^{16} +(2.01704 + 2.32778i) q^{17} +(1.96568 + 1.26326i) q^{18} +(3.97593 - 4.58847i) q^{19} +(1.98981 - 0.584260i) q^{20} +(-2.00070 + 0.800614i) q^{21} -4.84406i q^{22} +(4.50733 + 1.63828i) q^{23} +0.814491i q^{24} +(-0.290504 - 0.636115i) q^{25} +(-0.960750 - 3.27201i) q^{26} +(-3.28495 - 2.84643i) q^{27} +(2.15494 + 1.53501i) q^{28} +(-0.907523 - 1.04734i) q^{29} +(-1.67191 + 0.240384i) q^{30} +(-0.366561 + 1.24839i) q^{31} +(0.841254 - 0.540641i) q^{32} +(-0.561496 + 3.90529i) q^{33} +(-1.27952 + 2.80176i) q^{34} +(-2.51492 + 4.87648i) q^{35} +(-0.332533 + 2.31282i) q^{36} +(2.78722 + 4.33700i) q^{37} +(5.82548 + 1.71052i) q^{38} +(0.395285 + 2.74927i) q^{39} +(1.35806 + 1.56728i) q^{40} +(-1.78892 + 2.78362i) q^{41} +(-1.55938 - 1.48731i) q^{42} +(-2.97955 - 10.1474i) q^{43} +(4.40631 - 2.01230i) q^{44} -4.84567 q^{45} +(0.382184 + 4.78058i) q^{46} +9.72072i q^{47} +(-0.740887 + 0.338352i) q^{48} +(-6.87389 + 1.32272i) q^{49} +(0.457951 - 0.528503i) q^{50} +(1.35631 - 2.11046i) q^{51} +(2.57722 - 2.23317i) q^{52} +(8.75578 - 1.25889i) q^{53} +(1.22458 - 4.17055i) q^{54} +(5.43110 + 8.45095i) q^{55} +(-0.501098 + 2.59786i) q^{56} +(-4.49824 - 2.05428i) q^{57} +(0.575693 - 1.26059i) q^{58} +(-7.79419 - 1.12064i) q^{59} +(-0.913197 - 1.42096i) q^{60} +(2.36761 + 0.695193i) q^{61} +(-1.28785 + 0.185165i) q^{62} +(-3.82078 - 4.86001i) q^{63} +(0.841254 + 0.540641i) q^{64} +(5.34466 + 4.63118i) q^{65} +(-3.78563 + 1.11156i) q^{66} +(3.49316 - 1.59527i) q^{67} -3.08010 q^{68} +(0.246020 - 3.89841i) q^{69} +(-5.48053 - 0.261886i) q^{70} +(0.383194 + 0.839077i) q^{71} +(-2.24196 + 0.658297i) q^{72} +(3.57758 + 3.09999i) q^{73} +(-2.78722 + 4.33700i) q^{74} +(-0.430461 + 0.372997i) q^{75} +(0.864053 + 6.00962i) q^{76} +(-4.19356 + 12.1107i) q^{77} +(-2.33661 + 1.50165i) q^{78} +(8.94534 + 1.28615i) q^{79} +(-0.861492 + 1.88640i) q^{80} +(1.44130 - 3.15600i) q^{81} +(-3.27522 - 0.470905i) q^{82} +(10.0199 - 6.43940i) q^{83} +(0.705115 - 2.03632i) q^{84} +(-0.909042 - 6.32253i) q^{85} +(7.99266 - 6.92568i) q^{86} +(-0.610244 + 0.949559i) q^{87} +(3.66090 + 3.17219i) q^{88} +(-11.3907 + 3.34461i) q^{89} +(-2.01297 - 4.40778i) q^{90} +(-0.430642 + 9.01213i) q^{91} +(-4.18980 + 2.33357i) q^{92} +1.05973 q^{93} +(-8.84228 + 4.03813i) q^{94} +(-12.0809 + 3.54729i) q^{95} +(-0.615551 - 0.533378i) q^{96} +(1.51635 + 0.974497i) q^{97} +(-4.05870 - 5.70324i) q^{98} +(-11.2034 + 1.61081i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 80 q - 8 q^{2} - 8 q^{4} - 11 q^{7} - 8 q^{8} - 6 q^{9}+O(q^{10}) $ 80 * q - 8 * q^2 - 8 * q^4 - 11 * q^7 - 8 * q^8 - 6 * q^9	$ 80 q - 8 q^{2} - 8 q^{4} - 11 q^{7} - 8 q^{8} - 6 q^{9} + 11 q^{14} - 8 q^{16} - 6 q^{18} - 33 q^{21} + 18 q^{23} - 58 q^{25} - 11 q^{28} + 16 q^{29} + 22 q^{30} - 8 q^{32} + 47 q^{35} + 16 q^{36} - 22 q^{37} - 30 q^{39} - 22 q^{42} + 44 q^{43} - 4 q^{46} + 17 q^{49} + 8 q^{50} - 88 q^{51} + 44 q^{53} + 11 q^{56} - 22 q^{57} - 28 q^{58} + 121 q^{63} - 8 q^{64} - 154 q^{65} + 58 q^{70} + 42 q^{71} - 28 q^{72} + 22 q^{74} + 38 q^{77} + 58 q^{78} - 88 q^{79} - 26 q^{81} - 11 q^{84} + 26 q^{85} - 132 q^{86} + 22 q^{88} - 4 q^{92} + 152 q^{93} - 68 q^{95} - 27 q^{98} - 44 q^{99}+O(q^{100}) $ 80 * q - 8 * q^2 - 8 * q^4 - 11 * q^7 - 8 * q^8 - 6 * q^9 + 11 * q^14 - 8 * q^16 - 6 * q^18 - 33 * q^21 + 18 * q^23 - 58 * q^25 - 11 * q^28 + 16 * q^29 + 22 * q^30 - 8 * q^32 + 47 * q^35 + 16 * q^36 - 22 * q^37 - 30 * q^39 - 22 * q^42 + 44 * q^43 - 4 * q^46 + 17 * q^49 + 8 * q^50 - 88 * q^51 + 44 * q^53 + 11 * q^56 - 22 * q^57 - 28 * q^58 + 121 * q^63 - 8 * q^64 - 154 * q^65 + 58 * q^70 + 42 * q^71 - 28 * q^72 + 22 * q^74 + 38 * q^77 + 58 * q^78 - 88 * q^79 - 26 * q^81 - 11 * q^84 + 26 * q^85 - 132 * q^86 + 22 * q^88 - 4 * q^92 + 152 * q^93 - 68 * q^95 - 27 * q^98 - 44 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/322\mathbb{Z}\right)^\times$.

$n$	$185$	$281$
$\chi(n)$	$-1$	$e\left(\frac{15}{22}\right)$

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 $

$2$	0.415415	+	0.909632i	0.293743	+	0.643207i
$2$	0.415415	+	0.909632i	0.293743	+	0.643207i
$3$	−0.229469	−	0.781499i	−0.132484	−	0.451198i	0.866352	−	0.499434i	$-0.166459\pi$
$3$	−0.229469	−	0.781499i	−0.132484	−	0.451198i	−0.998836	+	0.0482351i	$0.984640\pi$
$4$	−0.654861	+	0.755750i	−0.327430	+	0.377875i
$5$	−1.74460	−	1.12119i	−0.780209	−	0.501410i	0.0888940	−	0.996041i	$-0.471667\pi$
$5$	−1.74460	−	1.12119i	−0.780209	−	0.501410i	−0.869103	+	0.494631i	$0.835303\pi$
$6$	0.615551	−	0.533378i	0.251298	−	0.217751i
$7$	−0.251104	−	2.63381i	−0.0949082	−	0.995486i
$7$	−0.251104	−	2.63381i	−0.0949082	−	0.995486i
$8$	−0.959493	−	0.281733i	−0.339232	−	0.0996075i
$9$	1.96568	−	1.26326i	0.655225	−	0.421088i
$10$	0.295134	−	2.05270i	0.0933296	−	0.649121i
$11$	−4.40631	−	2.01230i	−1.32855	−	0.606730i	−0.380482	−	0.924788i	$-0.624242\pi$
$11$	−4.40631	−	2.01230i	−1.32855	−	0.606730i	−0.948071	+	0.318058i	$0.896969\pi$
$12$	0.740887	+	0.338352i	0.213876	+	0.0976738i
$13$	−3.37544	−	0.485315i	−0.936178	−	0.134602i	−0.342694	−	0.939447i	$-0.611339\pi$
$13$	−3.37544	−	0.485315i	−0.936178	−	0.134602i	−0.593485	+	0.804845i	$0.702248\pi$
$14$	2.29148	−	1.32254i	0.612425	−	0.353462i
$15$	−0.475875	+	1.62068i	−0.122870	+	0.418458i
$16$	−0.142315	−	0.989821i	−0.0355787	−	0.247455i
$17$	2.01704	+	2.32778i	0.489203	+	0.564571i	0.945653	−	0.325179i	$-0.105424\pi$
$17$	2.01704	+	2.32778i	0.489203	+	0.564571i	−0.456449	+	0.889749i	$0.650879\pi$
$18$	1.96568	+	1.26326i	0.463314	+	0.297754i
$19$	3.97593	−	4.58847i	0.912142	−	1.05267i	−0.0862669	−	0.996272i	$-0.527494\pi$
$19$	3.97593	−	4.58847i	0.912142	−	1.05267i	0.998409	−	0.0563955i	$-0.0179608\pi$
$20$	1.98981	−	0.584260i	0.444934	−	0.130644i
$21$	−2.00070	+	0.800614i	−0.436588	+	0.174708i
$22$		−	4.84406i		−	1.03276i
$23$	4.50733	+	1.63828i	0.939844	+	0.341604i
$23$	4.50733	+	1.63828i	0.939844	+	0.341604i
$24$			0.814491i			0.166257i
$25$	−0.290504	−	0.636115i	−0.0581008	−	0.127223i
$26$	−0.960750	−	3.27201i	−0.188419	−	0.641695i
$27$	−3.28495	−	2.84643i	−0.632190	−	0.547795i
$28$	2.15494	+	1.53501i	0.407245	+	0.290089i
$29$	−0.907523	−	1.04734i	−0.168523	−	0.194486i	0.665206	−	0.746660i	$-0.268344\pi$
$29$	−0.907523	−	1.04734i	−0.168523	−	0.194486i	−0.833729	+	0.552174i	$0.813798\pi$
$30$	−1.67191	+	0.240384i	−0.305247	+	0.0438879i
$31$	−0.366561	+	1.24839i	−0.0658363	+	0.224218i	−0.985839	−	0.167694i	$-0.946368\pi$
$31$	−0.366561	+	1.24839i	−0.0658363	+	0.224218i	0.920003	+	0.391912i	$0.128186\pi$
$32$	0.841254	−	0.540641i	0.148714	−	0.0955727i
$33$	−0.561496	+	3.90529i	−0.0977438	+	0.679823i
$34$	−1.27952	+	2.80176i	−0.219436	+	0.480497i
$35$	−2.51492	+	4.87648i	−0.425098	+	0.824275i
$36$	−0.332533	+	2.31282i	−0.0554222	+	0.385470i
$37$	2.78722	+	4.33700i	0.458216	+	0.712998i	0.991090	−	0.133197i	$-0.0425242\pi$
$37$	2.78722	+	4.33700i	0.458216	+	0.712998i	−0.532873	+	0.846195i	$0.678888\pi$
$38$	5.82548	+	1.71052i	0.945018	+	0.277482i
$39$	0.395285	+	2.74927i	0.0632962	+	0.440235i
$40$	1.35806	+	1.56728i	0.214728	+	0.247809i
$41$	−1.78892	+	2.78362i	−0.279383	+	0.434728i	−0.952379	−	0.304918i	$-0.901371\pi$
$41$	−1.78892	+	2.78362i	−0.279383	+	0.434728i	0.672996	+	0.739646i	$0.265007\pi$
$42$	−1.55938	−	1.48731i	−0.240618	−	0.229497i
$43$	−2.97955	−	10.1474i	−0.454377	−	1.54747i	−0.794607	−	0.607124i	$-0.792323\pi$
$43$	−2.97955	−	10.1474i	−0.454377	−	1.54747i	0.340230	−	0.940342i	$-0.389495\pi$
$44$	4.40631	−	2.01230i	0.664277	−	0.303365i
$45$	−4.84567			−0.722350
$46$	0.382184	+	4.78058i	0.0563500	+	0.704858i
$47$			9.72072i			1.41791i	0.705253	+	0.708956i	$0.250834\pi$
$47$			9.72072i			1.41791i	−0.705253	+	0.708956i	$0.749166\pi$
$48$	−0.740887	+	0.338352i	−0.106938	+	0.0488369i
$49$	−6.87389	+	1.32272i	−0.981985	+	0.188960i
$50$	0.457951	−	0.528503i	0.0647640	−	0.0747417i
$51$	1.35631	−	2.11046i	0.189922	−	0.295524i
$52$	2.57722	−	2.23317i	0.357396	−	0.309685i
$53$	8.75578	−	1.25889i	1.20270	−	0.172922i	0.488309	−	0.872671i	$-0.337614\pi$
$53$	8.75578	−	1.25889i	1.20270	−	0.172922i	0.714389	+	0.699749i	$0.246705\pi$
$54$	1.22458	−	4.17055i	0.166645	−	0.567540i
$55$	5.43110	+	8.45095i	0.732329	+	1.13953i
$56$	−0.501098	+	2.59786i	−0.0669620	+	0.347154i
$57$	−4.49824	−	2.05428i	−0.595806	−	0.272095i
$58$	0.575693	−	1.26059i	0.0755922	−	0.165524i
$59$	−7.79419	−	1.12064i	−1.01472	−	0.145894i	−0.385161	−	0.922849i	$-0.625854\pi$
$59$	−7.79419	−	1.12064i	−1.01472	−	0.145894i	−0.629556	+	0.776955i	$0.716763\pi$
$60$	−0.913197	−	1.42096i	−0.117893	−	0.183445i
$61$	2.36761	+	0.695193i	0.303141	+	0.0890103i	0.429766	−	0.902940i	$-0.358596\pi$
$61$	2.36761	+	0.695193i	0.303141	+	0.0890103i	−0.126624	+	0.991951i	$0.540414\pi$
$62$	−1.28785	+	0.185165i	−0.163558	+	0.0235160i
$63$	−3.82078	−	4.86001i	−0.481373	−	0.612303i
$64$	0.841254	+	0.540641i	0.105157	+	0.0675801i
$65$	5.34466	+	4.63118i	0.662924	+	0.574427i
$66$	−3.78563	+	1.11156i	−0.465979	+	0.136824i
$67$	3.49316	−	1.59527i	0.426758	−	0.194894i	−0.190445	−	0.981698i	$-0.560993\pi$
$67$	3.49316	−	1.59527i	0.426758	−	0.194894i	0.617203	+	0.786804i	$0.288266\pi$
$68$	−3.08010			−0.373517
$69$	0.246020	−	3.89841i	0.0296173	−	0.469313i
$70$	−5.48053	−	0.261886i	−0.655049	−	0.0313013i
$71$	0.383194	+	0.839077i	0.0454767	+	0.0995801i	0.931007	−	0.365002i	$-0.118932\pi$
$71$	0.383194	+	0.839077i	0.0454767	+	0.0995801i	−0.885530	+	0.464582i	$0.846204\pi$
$72$	−2.24196	+	0.658297i	−0.264217	+	0.0775811i
$73$	3.57758	+	3.09999i	0.418724	+	0.362827i	0.838593	−	0.544758i	$-0.183379\pi$
$73$	3.57758	+	3.09999i	0.418724	+	0.362827i	−0.419869	+	0.907585i	$0.637924\pi$
$74$	−2.78722	+	4.33700i	−0.324008	+	0.504166i
$75$	−0.430461	+	0.372997i	−0.0497054	+	0.0430700i
$76$	0.864053	+	6.00962i	0.0991137	+	0.689351i
$77$	−4.19356	+	12.1107i	−0.477901	+	1.38014i
$78$	−2.33661	+	1.50165i	−0.264569	+	0.170028i
$79$	8.94534	+	1.28615i	1.00643	+	0.144703i	0.625766	−	0.780011i	$-0.284787\pi$
$79$	8.94534	+	1.28615i	1.00643	+	0.144703i	0.380664	+	0.924714i	$0.375696\pi$
$80$	−0.861492	+	1.88640i	−0.0963177	+	0.210906i
$81$	1.44130	−	3.15600i	0.160144	−	0.350666i
$82$	−3.27522	−	0.470905i	−0.361687	−	0.0520028i
$83$	10.0199	−	6.43940i	1.09983	−	0.706816i	0.140774	−	0.990042i	$-0.455041\pi$
$83$	10.0199	−	6.43940i	1.09983	−	0.706816i	0.959053	+	0.283225i	$0.0914044\pi$
$84$	0.705115	−	2.03632i	0.0769343	−	0.222180i
$85$	−0.909042	−	6.32253i	−0.0985995	−	0.685774i
$86$	7.99266	−	6.92568i	0.861871	−	0.746816i
$87$	−0.610244	+	0.949559i	−0.0654251	+	0.101803i
$88$	3.66090	+	3.17219i	0.390253	+	0.338156i
$89$	−11.3907	+	3.34461i	−1.20741	+	0.354527i	−0.822682	−	0.568503i	$-0.807523\pi$
$89$	−11.3907	+	3.34461i	−1.20741	+	0.354527i	−0.384728	+	0.923030i	$0.625705\pi$
$90$	−2.01297	−	4.40778i	−0.212185	−	0.464621i
$91$	−0.430642	+	9.01213i	−0.0451435	+	0.944727i
$92$	−4.18980	+	2.33357i	−0.436817	+	0.243292i
$93$	1.05973			0.109889
$94$	−8.84228	+	4.03813i	−0.912011	+	0.416501i
$95$	−12.0809	+	3.54729i	−1.23948	+	0.363944i
$96$	−0.615551	−	0.533378i	−0.0628244	−	0.0544377i
$97$	1.51635	+	0.974497i	0.153962	+	0.0989452i	0.615353	−	0.788251i	$-0.289013\pi$
$97$	1.51635	+	0.974497i	0.153962	+	0.0989452i	−0.461392	+	0.887197i	$0.652650\pi$
$98$	−4.05870	−	5.70324i	−0.409991	−	0.576114i
$99$	−11.2034	+	1.61081i	−1.12599	+	0.161893i
$100$	0.670983	+	0.197018i	0.0670983	+	0.0197018i
$101$	2.92194	+	4.54663i	0.290744	+	0.452406i	0.955643	−	0.294527i	$-0.0951619\pi$
$101$	2.92194	+	4.54663i	0.290744	+	0.452406i	−0.664899	+	0.746933i	$0.731526\pi$
$102$	2.48318	+	0.357027i	0.245871	+	0.0353510i
$103$	8.31477	−	18.2068i	0.819279	−	1.79397i	0.258486	−	0.966015i	$-0.416776\pi$
$103$	8.31477	−	18.2068i	0.819279	−	1.79397i	0.560793	−	0.827956i	$-0.310496\pi$
$104$	3.10198	+	1.41663i	0.304174	+	0.138912i
$105$	4.38805	+	0.846404i	0.428230	+	0.0826006i
$106$	4.78241	+	7.44157i	0.464509	+	0.722790i
$107$	3.97863	−	13.5500i	0.384628	−	1.30992i	−0.508865	−	0.860846i	$-0.669935\pi$
$107$	3.97863	−	13.5500i	0.384628	−	1.30992i	0.893493	−	0.449077i	$-0.148247\pi$
$108$	4.30237	−	0.618588i	0.413996	−	0.0595237i
$109$	−6.09483	+	5.28120i	−0.583779	+	0.505847i	−0.895936	−	0.444183i	$-0.853494\pi$
$109$	−6.09483	+	5.28120i	−0.583779	+	0.505847i	0.312157	+	0.950031i	$0.398948\pi$
$110$	−5.43110	+	8.45095i	−0.517835	+	0.805767i
$111$	2.74978	−	3.17341i	0.260997	−	0.301207i
$112$	−2.57126	+	0.623378i	−0.242962	+	0.0589037i
$113$	−9.75681	+	4.45579i	−0.917844	+	0.419165i	−0.817593	−	0.575797i	$-0.804692\pi$
$113$	−9.75681	+	4.45579i	−0.917844	+	0.419165i	−0.100251	+	0.994962i	$0.531965\pi$
$114$		−	4.94512i		−	0.463153i
$115$	−6.02668	−	7.91170i	−0.561991	−	0.737770i
$116$	1.38583			0.128671
$117$	−7.24810	+	3.31010i	−0.670087	+	0.306019i
$118$	−2.21846	−	7.55538i	−0.204226	−	0.695529i
$119$	5.62445	−	5.89700i	0.515593	−	0.540577i
$120$	0.913197	−	1.42096i	0.0833631	−	0.129715i
$121$	8.16280	+	9.42037i	0.742073	+	0.856398i
$122$	0.351171	+	2.44245i	0.0317935	+	0.221129i
$123$	2.58590	+	0.759288i	0.233163	+	0.0684627i
$124$	−0.703426	−	1.09455i	−0.0631695	−	0.0982937i
$125$	−1.68206	+	11.6990i	−0.150448	+	1.04639i
$126$	2.83361	−	5.49443i	0.252438	−	0.489482i
$127$	2.68353	−	5.87610i	0.238124	−	0.521420i	−0.752408	−	0.658697i	$-0.771108\pi$
$127$	2.68353	−	5.87610i	0.238124	−	0.521420i	0.990533	+	0.137277i	$0.0438352\pi$
$128$	−0.142315	+	0.989821i	−0.0125790	+	0.0874887i
$129$	−7.24648	+	4.65703i	−0.638017	+	0.410028i
$130$	−1.99241	+	6.78554i	−0.174746	+	0.595131i
$131$	18.9052	−	2.71816i	1.65176	−	0.237487i	0.747433	−	0.664337i	$-0.231286\pi$
$131$	18.9052	−	2.71816i	1.65176	−	0.237487i	0.904322	+	0.426850i	$0.140377\pi$
$132$	−2.58372	−	2.98177i	−0.224884	−	0.259530i
$133$	−13.0835	−	9.31966i	−1.13449	−	0.808117i
$134$	2.90222	+	2.51479i	0.250714	+	0.217245i
$135$	2.53955	+	8.64893i	0.218570	+	0.744381i
$136$	−1.27952	−	2.80176i	−0.109718	−	0.240249i
$137$		−	5.68439i		−	0.485650i	−0.970070	−	0.242825i	$-0.921926\pi$
$137$		−	5.68439i		−	0.485650i	0.970070	−	0.242825i	$-0.0780741\pi$
$138$	3.64832	−	1.39567i	0.310565	−	0.118807i
$139$		−	13.3572i		−	1.13294i	−0.824081	−	0.566472i	$-0.808308\pi$
$139$		−	13.3572i		−	1.13294i	0.824081	−	0.566472i	$-0.191692\pi$
$140$	−2.03848	−	5.09406i	−0.172283	−	0.430527i
$141$	7.59673	−	2.23060i	0.639760	−	0.187850i
$142$	−0.604067	+	0.697130i	−0.0506922	+	0.0585019i
$143$	13.8966	+	8.93083i	1.16210	+	0.746834i
$144$	−1.53015	−	1.76589i	−0.127513	−	0.147157i
$145$	0.409004	+	2.84469i	0.0339660	+	0.236238i
$146$	−1.33367	+	4.54207i	−0.110375	+	0.375904i
$147$	2.61104	+	5.06842i	0.215355	+	0.418036i
$148$	−5.10293	−	0.733690i	−0.419458	−	0.0603089i
$149$	3.14717	+	1.43726i	0.257826	+	0.117745i	0.540135	−	0.841578i	$-0.318373\pi$
$149$	3.14717	+	1.43726i	0.257826	+	0.117745i	−0.282309	+	0.959323i	$0.591100\pi$
$150$	−0.518110	−	0.236613i	−0.0423035	−	0.0193194i
$151$	1.75728	−	12.2222i	0.143006	−	0.994627i	−0.784316	−	0.620362i	$-0.786986\pi$
$151$	1.75728	−	12.2222i	0.143006	−	0.994627i	0.927322	−	0.374265i	$-0.122105\pi$
$152$	−5.10760	+	3.28246i	−0.414281	+	0.266242i
$153$	6.90545	+	2.02762i	0.558272	+	0.163924i
$154$	−12.7583	+	1.21636i	−1.02810	+	0.0980172i
$155$	2.03918	−	1.76696i	0.163791	−	0.141926i
$156$	−2.33661	−	1.50165i	−0.187079	−	0.120228i
$157$	15.0409	−	17.3582i	1.20040	−	1.38533i	0.297924	−	0.954590i	$-0.403706\pi$
$157$	15.0409	−	17.3582i	1.20040	−	1.38533i	0.902474	−	0.430743i	$-0.141749\pi$
$158$	2.54611	+	8.67125i	0.202558	+	0.689848i
$159$	−2.99300	−	6.55375i	−0.237360	−	0.519746i
$160$	−2.07381			−0.163949
$161$	3.18310	−	12.2828i	0.250864	−	0.968022i
$162$	3.46953			0.272592
$163$	4.93322	+	10.8022i	0.386400	+	0.846097i	0.998470	+	0.0552939i	$0.0176096\pi$
$163$	4.93322	+	10.8022i	0.386400	+	0.846097i	−0.612071	+	0.790803i	$0.709663\pi$
$164$	−0.932224	−	3.17486i	−0.0727944	−	0.247915i
$165$	5.35814	−	6.18362i	0.417131	−	0.481394i
$166$	10.0199	+	6.43940i	0.777696	+	0.499795i
$167$	3.36235	−	2.91350i	0.260187	−	0.225453i	−0.514992	−	0.857195i	$-0.672205\pi$
$167$	3.36235	−	2.91350i	0.260187	−	0.225453i	0.775179	+	0.631742i	$0.217660\pi$
$168$	2.14521	−	0.204522i	0.165507	−	0.0157792i
$169$	−1.31535	−	0.386221i	−0.101181	−	0.0297093i
$170$	5.37354	−	3.45337i	0.412132	−	0.264861i
$171$	2.01895	−	14.0421i	0.154393	−	1.07383i
$172$	9.62010	+	4.39335i	0.733525	+	0.334990i
$173$	13.6072	+	6.21418i	1.03453	+	0.472455i	0.858977	−	0.512014i	$-0.171100\pi$
$173$	13.6072	+	6.21418i	1.03453	+	0.472455i	0.175556	+	0.984469i	$0.443828\pi$
$174$	−1.11725	−	0.160637i	−0.0846988	−	0.0121778i
$175$	−1.60246	+	0.924862i	−0.121134	+	0.0699130i
$176$	−1.36473	+	4.64784i	−0.102870	+	0.350344i
$177$	0.912748	+	6.34830i	0.0686063	+	0.477167i
$178$	−7.77422	−	8.97193i	−0.582702	−	0.672474i
$179$	−1.68488	−	1.08281i	−0.125934	−	0.0809330i	0.476157	−	0.879360i	$-0.342029\pi$
$179$	−1.68488	−	1.08281i	−0.125934	−	0.0809330i	−0.602091	+	0.798427i	$0.705666\pi$
$180$	3.17324	−	3.66212i	0.236519	−	0.272958i
$181$	5.28607	−	1.55213i	0.392911	−	0.115369i	−0.0793085	−	0.996850i	$-0.525271\pi$
$181$	5.28607	−	1.55213i	0.392911	−	0.115369i	0.472219	+	0.881481i	$0.343453\pi$
$182$	−8.37661	+	3.35205i	−0.620916	+	0.248470i
$183$		−	2.00981i		−	0.148569i
$184$	−3.86320	−	2.84178i	−0.284799	−	0.209499i
$185$		−	10.6913i		−	0.786042i
$186$	0.440228	+	0.963966i	0.0322791	+	0.0706814i
$187$	−4.20351	−	14.3158i	−0.307391	−	1.04688i
$188$	−7.34643	−	6.36572i	−0.535793	−	0.464268i
$189$	−6.67208	+	9.36669i	−0.485323	+	0.681326i
$190$	−8.24533	−	9.51562i	−0.598179	−	0.690336i
$191$	−20.9403	+	3.01075i	−1.51518	+	0.217850i	−0.849182	−	0.528100i	$-0.822905\pi$
$191$	−20.9403	+	3.01075i	−1.51518	+	0.217850i	−0.666001	+	0.745951i	$0.731995\pi$
$192$	0.229469	−	0.781499i	0.0165605	−	0.0563998i
$193$	8.11615	−	5.21593i	0.584213	−	0.375451i	−0.214896	−	0.976637i	$-0.568941\pi$
$193$	8.11615	−	5.21593i	0.584213	−	0.375451i	0.799109	+	0.601186i	$0.205305\pi$
$194$	−0.256520	+	1.78414i	−0.0184171	+	0.128094i
$195$	2.39283	−	5.23956i	0.171354	−	0.375213i
$196$	3.50180	−	6.06114i	0.250129	−	0.432938i
$197$	−3.15534	+	21.9458i	−0.224808	+	1.56358i	0.494682	+	0.869074i	$0.335285\pi$
$197$	−3.15534	+	21.9458i	−0.224808	+	1.56358i	−0.719490	+	0.694503i	$0.755624\pi$
$198$	−6.11933	−	9.52186i	−0.434882	−	0.676689i
$199$	15.5748	+	4.57317i	1.10407	+	0.324183i	0.782467	−	0.622692i	$-0.213961\pi$
$199$	15.5748	+	4.57317i	1.10407	+	0.324183i	0.321600	+	0.946875i	$0.395779\pi$
$200$	0.0995222	+	0.692192i	0.00703728	+	0.0489454i
$201$	−2.04828	−	2.36384i	−0.144474	−	0.166732i
$202$	−2.92194	+	4.54663i	−0.205587	+	0.319900i
$203$	−2.53060	+	2.65323i	−0.177614	+	0.186220i
$204$	0.706786	+	2.40709i	0.0494850	+	0.168530i
$205$	6.24192	−	2.85059i	0.435954	−	0.199094i
$206$	20.0156			1.39455
$207$	10.9295	−	2.47363i	0.759655	−	0.171929i
$208$			3.41015i			0.236451i
$209$	−26.7526	+	12.2175i	−1.85051	+	0.845102i
$210$	1.05295	+	4.34312i	0.0726603	+	0.299704i
$211$	−17.1143	+	19.7509i	−1.17820	+	1.35971i	−0.259016	+	0.965873i	$0.583398\pi$
$211$	−17.1143	+	19.7509i	−1.17820	+	1.35971i	−0.919180	+	0.393837i	$0.871147\pi$
$212$	−4.78241	+	7.44157i	−0.328457	+	0.511089i
$213$	0.567807	−	0.492007i	0.0389055	−	0.0337118i
$214$	13.9783	−	2.00977i	0.955534	−	0.137385i
$215$	−6.17902	+	21.0438i	−0.421406	+	1.43518i
$216$	2.34996	+	3.65661i	0.159894	+	0.248801i
$217$	3.38007	+	0.651976i	0.229454	+	0.0442590i
$218$	−7.33583	−	3.35016i	−0.496845	−	0.226902i
$219$	1.60170	−	3.50723i	0.108233	−	0.236996i
$220$	−9.94342	−	1.42965i	−0.670385	−	0.0963868i
$221$	−5.67868	−	8.83619i	−0.381989	−	0.594387i
$222$	4.02894	+	1.18300i	0.270405	+	0.0793980i
$223$	3.66496	−	0.526942i	0.245424	−	0.0352867i	−0.0185049	−	0.999829i	$-0.505891\pi$
$223$	3.66496	−	0.526942i	0.245424	−	0.0352867i	0.263929	+	0.964542i	$0.414982\pi$
$224$	−1.63519	−	2.07994i	−0.109255	−	0.138972i
$225$	−1.37462	−	0.883413i	−0.0916412	−	0.0588942i
$226$	−8.10625	−	7.02411i	−0.539220	−	0.467237i
$227$	−19.3030	+	5.66787i	−1.28119	+	0.376190i	−0.850339	−	0.526235i	$-0.823603\pi$
$227$	−19.3030	+	5.66787i	−1.28119	+	0.376190i	−0.430847	+	0.902425i	$0.641785\pi$
$228$	4.49824	−	2.05428i	0.297903	−	0.136048i
$229$	−22.3713			−1.47834			−0.739170	−	0.673519i	$-0.764782\pi$
$229$	−22.3713			−1.47834			−0.739170	+	0.673519i	$0.764782\pi$
$230$	4.69316	−	8.76870i	0.309458	−	0.578191i
$231$	10.4268	+	0.498240i	0.686031	+	0.0327818i
$232$	0.575693	+	1.26059i	0.0377961	+	0.0827619i
$233$	23.8255	−	6.99581i	1.56086	−	0.458310i	0.616537	−	0.787326i	$-0.288535\pi$
$233$	23.8255	−	6.99581i	1.56086	−	0.458310i	0.944325	+	0.329015i	$0.106717\pi$
$234$	−6.02194	−	5.21804i	−0.393667	−	0.341114i
$235$	10.8987	−	16.9588i	0.710955	−	1.10627i
$236$	5.95103	−	5.15660i	0.387379	−	0.335666i
$237$	−1.04755	−	7.28590i	−0.0680460	−	0.473270i
$238$	7.70058	+	2.66648i	0.499155	+	0.172842i
$239$	7.65566	−	4.91999i	0.495203	−	0.318248i	−0.269092	−	0.963115i	$-0.586724\pi$
$239$	7.65566	−	4.91999i	0.495203	−	0.318248i	0.764295	+	0.644867i	$0.223087\pi$
$240$	1.67191	+	0.240384i	0.107921	+	0.0155167i
$241$	4.24842	−	9.30274i	0.273665	−	0.599242i	−0.722038	−	0.691854i	$-0.756794\pi$
$241$	4.24842	−	9.30274i	0.273665	−	0.599242i	0.995702	+	0.0926116i	$0.0295215\pi$
$242$	−5.17812	+	11.3385i	−0.332862	+	0.728867i
$243$	−15.7043	−	2.25793i	−1.00743	−	0.144846i
$244$	−2.07585	+	1.33407i	−0.132892	+	0.0854048i
$245$	13.4752	+	5.39931i	0.860900	+	0.344949i
$246$	0.383548	+	2.66763i	0.0244541	+	0.170082i
$247$	−15.6474	+	13.5585i	−0.995619	+	0.862708i
$248$	0.703426	−	1.09455i	0.0446676	−	0.0695041i
$249$	−7.33164	−	6.35290i	−0.464624	−	0.402599i
$250$	−11.3405	+	3.32988i	−0.717238	+	0.210600i
$251$	0.833079	+	1.82419i	0.0525835	+	0.115142i	0.934100	−	0.357011i	$-0.116204\pi$
$251$	0.833079	+	1.82419i	0.0525835	+	0.115142i	−0.881517	+	0.472153i	$0.843477\pi$
$252$	6.17503	+	0.295072i	0.388990	+	0.0185878i
$253$	−16.5640	−	16.2889i	−1.04137	−	1.02407i
$254$	6.45987			0.405328
$255$	−4.73245	+	2.16124i	−0.296357	+	0.135342i
$256$	−0.959493	+	0.281733i	−0.0599683	+	0.0176083i
$257$	1.83426	+	1.58940i	0.114418	+	0.0991439i	0.710191	−	0.704009i	$-0.248609\pi$
$257$	1.83426	+	1.58940i	0.114418	+	0.0991439i	−0.595773	+	0.803153i	$0.703154\pi$
$258$	−7.24648	−	4.65703i	−0.451146	−	0.289934i
$259$	10.7229	−	8.43004i	0.666291	−	0.523817i
$260$	−7.00002	+	1.00645i	−0.434123	+	0.0624175i
$261$	−3.10696	−	0.912286i	−0.192316	−	0.0564691i
$262$	10.3260	+	16.0676i	0.637944	+	0.992661i
$263$	−18.8743	−	2.71371i	−1.16384	−	0.167335i	−0.466796	−	0.884365i	$-0.654592\pi$
$263$	−18.8743	−	2.71371i	−1.16384	−	0.167335i	−0.697042	+	0.717030i	$0.745501\pi$
$264$	1.63900	−	3.58890i	0.100873	−	0.220882i
$265$	−16.6868	−	7.62060i	−1.02506	−	0.468130i
$266$	3.04237	−	15.7727i	0.186540	−	0.967088i
$267$	5.22761	+	8.13432i	0.319924	+	0.497812i
$268$	−1.08191	+	3.68464i	−0.0660880	+	0.225075i
$269$	−13.0265	+	1.87293i	−0.794240	+	0.114194i	−0.527479	−	0.849568i	$-0.676863\pi$
$269$	−13.0265	+	1.87293i	−0.794240	+	0.114194i	−0.266761	+	0.963763i	$0.585954\pi$
$270$	−6.81237	+	5.90295i	−0.414588	+	0.359242i
$271$	−6.96332	+	10.8351i	−0.422992	+	0.658188i	−0.985708	−	0.168462i	$-0.946120\pi$
$271$	−6.96332	+	10.8351i	−0.422992	+	0.658188i	0.562716	+	0.826650i	$0.309756\pi$
$272$	2.01704	−	2.32778i	0.122301	−	0.141143i
$273$	7.14178	−	1.73145i	0.432240	−	0.104792i
$274$	5.17070	−	2.36138i	0.312374	−	0.142656i
$275$			3.38750i			0.204274i
$276$	2.78511	+	2.73884i	0.167644	+	0.164859i
$277$	−18.7545			−1.12685			−0.563425	−	0.826167i	$-0.690517\pi$
$277$	−18.7545			−1.12685			−0.563425	+	0.826167i	$0.690517\pi$
$278$	12.1502	−	5.54879i	0.728718	−	0.332794i
$279$	0.856509	+	2.91700i	0.0512778	+	0.174636i
$280$	3.78691	−	3.97041i	0.226311	−	0.237277i
$281$	1.16251	−	1.80889i	0.0693493	−	0.107910i	−0.804847	−	0.593483i	$-0.797753\pi$
$281$	1.16251	−	1.80889i	0.0693493	−	0.107910i	0.874196	+	0.485573i	$0.161389\pi$
$282$	5.18482	+	5.98360i	0.308752	+	0.356318i
$283$	1.21783	+	8.47017i	0.0723922	+	0.503499i	0.993468	+	0.114115i	$0.0364031\pi$
$283$	1.21783	+	8.47017i	0.0723922	+	0.503499i	−0.921075	+	0.389384i	$0.872688\pi$
$284$	−0.885070	−	0.259880i	−0.0525193	−	0.0154210i
$285$	5.54440	+	8.62725i	0.328422	+	0.511034i
$286$	−2.35090	+	16.3508i	−0.139011	+	0.966845i
$287$	7.78073	+	4.01271i	0.459282	+	0.236863i
$288$	0.970660	−	2.12545i	0.0571967	−	0.125243i
$289$	1.06921	−	7.43651i	0.0628947	−	0.437442i
$290$	−2.41771	+	1.55377i	−0.141973	+	0.0912405i
$291$	0.413614	−	1.40864i	0.0242465	−	0.0825759i
$292$	−4.68564	+	0.673693i	−0.274206	+	0.0394249i
$293$	18.7500	+	21.6387i	1.09539	+	1.26415i	0.961991	+	0.273082i	$0.0880432\pi$
$293$	18.7500	+	21.6387i	1.09539	+	1.26415i	0.133397	+	0.991063i	$0.457411\pi$
$294$	−3.52573	+	4.48059i	−0.205625	+	0.261313i
$295$	12.3413	+	10.6938i	0.718539	+	0.622617i
$296$	−1.45244	−	4.94657i	−0.0844216	−	0.287514i
$297$	8.74668	+	19.1526i	0.507534	+	1.11134i
$298$			3.45982i			0.200422i
$299$	−14.4191	−	7.71738i	−0.833881	−	0.446308i
$300$		−	0.569582i		−	0.0328848i
$301$	−25.9782	+	10.3956i	−1.49736	+	0.599193i
$302$	11.8477	−	3.47879i	0.681758	−	0.200182i
$303$	2.88269	−	3.32680i	0.165606	−	0.191120i
$304$	−5.10760	−	3.28246i	−0.292941	−	0.188262i
$305$	−3.35109	−	3.86736i	−0.191883	−	0.221445i
$306$	1.02424	+	7.12372i	0.0585517	+	0.407236i
$307$	−8.72944	+	29.7297i	−0.498215	+	1.69677i	0.199081	+	0.979983i	$0.436204\pi$
$307$	−8.72944	+	29.7297i	−0.498215	+	1.69677i	−0.697296	+	0.716783i	$0.745614\pi$
$308$	−6.40644	−	11.1001i	−0.365041	−	0.632486i
$309$	−16.1366	−	2.32009i	−0.917978	−	0.131985i
$310$	2.45439	+	1.12088i	0.139400	+	0.0636620i
$311$	−1.30246	−	0.594813i	−0.0738556	−	0.0337287i	0.378145	−	0.925746i	$-0.376562\pi$
$311$	−1.30246	−	0.594813i	−0.0738556	−	0.0337287i	−0.452000	+	0.892018i	$0.649289\pi$
$312$	0.395285	−	2.74927i	0.0223786	−	0.155647i
$313$	21.7909	−	14.0041i	1.23169	−	0.791561i	0.247540	−	0.968878i	$-0.420378\pi$
$313$	21.7909	−	14.0041i	1.23169	−	0.791561i	0.984154	+	0.177316i	$0.0567416\pi$
$314$	22.0378	+	6.47088i	1.24366	+	0.365173i
$315$	1.21677	+	12.7626i	0.0685570	+	0.719090i
$316$	−6.82996	+	5.91819i	−0.384215	+	0.332924i
$317$	12.7051	+	8.16510i	0.713592	+	0.458598i	0.846402	−	0.532544i	$-0.178764\pi$
$317$	12.7051	+	8.16510i	0.713592	+	0.458598i	−0.132811	+	0.991141i	$0.542400\pi$
$318$	4.71817	−	5.44505i	0.264582	−	0.305343i
$319$	1.89128	+	6.44110i	0.105891	+	0.360632i
$320$	−0.861492	−	1.88640i	−0.0481589	−	0.105453i
$321$	−11.5022			−0.641992
$322$	12.4952	−	2.20702i	0.696328	−	0.122992i
$323$	18.7006			1.04053
$324$	1.44130	+	3.15600i	0.0800720	+	0.175333i
$325$	0.671862	+	2.28815i	0.0372682	+	0.126924i
$326$	−7.77673	+	8.97483i	−0.430713	+	0.497070i
$327$	5.52582	+	3.55123i	0.305579	+	0.196384i
$328$	2.50070	−	2.16687i	0.138078	−	0.119645i
$329$	25.6025	−	2.44091i	1.41151	−	0.134572i
$330$	7.85067	+	2.30517i	0.432165	+	0.126895i
$331$	−13.5160	+	8.68619i	−0.742905	+	0.477436i	−0.856536	−	0.516087i	$-0.827388\pi$
$331$	−13.5160	+	8.68619i	−0.742905	+	0.477436i	0.113631	+	0.993523i	$0.463752\pi$
$332$	−1.69507	+	11.7895i	−0.0930289	+	0.647030i
$333$	10.9575	+	5.00414i	0.600470	+	0.274225i
$334$	4.04698	+	1.84819i	0.221441	+	0.101129i
$335$	−7.88277	−	1.13337i	−0.430682	−	0.0619227i
$336$	1.07719	+	1.86639i	0.0587657	+	0.101820i
$337$	−0.684474	+	2.33110i	−0.0372856	+	0.126983i	−0.976033	−	0.217623i	$-0.930170\pi$
$337$	−0.684474	+	2.33110i	−0.0372856	+	0.126983i	0.938747	+	0.344607i	$0.111988\pi$
$338$	−0.195096	−	1.35692i	−0.0106118	−	0.0738070i
$339$	5.72107	+	6.60247i	0.310726	+	0.358597i
$340$	5.37354	+	3.45337i	0.291421	+	0.187285i
$341$	4.12732	−	4.76318i	0.223507	−	0.257941i
$342$	13.6118	−	3.99680i	0.736044	−	0.216122i
$343$	5.20984	+	17.7724i	0.281305	+	0.959618i
$344$			10.5758i			0.570209i
$345$	−4.80005	+	6.52533i	−0.258426	+	0.351312i
$346$			14.9590i			0.804199i
$347$	−3.87481	−	8.48464i	−0.208011	−	0.455480i	0.776656	−	0.629924i	$-0.216914\pi$
$347$	−3.87481	−	8.48464i	−0.208011	−	0.455480i	−0.984667	+	0.174445i	$0.944187\pi$
$348$	−0.318004	−	1.08302i	−0.0170468	−	0.0580560i
$349$	−13.4386	−	11.6446i	−0.719354	−	0.623323i	0.216265	−	0.976335i	$-0.430612\pi$
$349$	−13.4386	−	11.6446i	−0.719354	−	0.623323i	−0.935619	+	0.353011i	$0.885158\pi$
$350$	−1.50697	−	1.07345i	−0.0805509	−	0.0573781i
$351$	9.70675	+	11.2022i	0.518108	+	0.597928i
$352$	−4.79476	+	0.689382i	−0.255561	+	0.0367442i
$353$	−4.50360	+	15.3379i	−0.239702	+	0.816352i	0.748492	+	0.663144i	$0.230778\pi$
$353$	−4.50360	+	15.3379i	−0.239702	+	0.816352i	−0.988194	+	0.153207i	$0.951040\pi$
$354$	−5.39545	+	3.46744i	−0.286765	+	0.184293i
$355$	0.272242	−	1.89349i	0.0144491	−	0.100496i
$356$	4.93162	−	10.7988i	0.261376	−	0.572333i
$357$	−5.89913	−	3.04232i	−0.312215	−	0.161017i
$358$	0.285032	−	1.98244i	0.0150644	−	0.104775i
$359$	−5.66617	−	8.81673i	−0.299049	−	0.465329i	0.658915	−	0.752217i	$-0.271016\pi$
$359$	−5.66617	−	8.81673i	−0.299049	−	0.465329i	−0.957964	+	0.286888i	$0.907379\pi$
$360$	4.64939	+	1.36518i	0.245044	+	0.0719515i
$361$	−2.54204	−	17.6803i	−0.133792	−	0.930542i
$362$	3.60778	+	4.16360i	0.189621	+	0.218834i
$363$	5.48890	−	8.54090i	0.288093	−	0.448281i
$364$	−6.52890	−	6.22714i	−0.342207	−	0.326391i
$365$	−2.76578	−	9.41939i	−0.144768	−	0.493033i
$366$	1.82819	−	0.834904i	0.0955608	−	0.0436412i
$367$	−30.1718			−1.57495			−0.787477	−	0.616344i	$-0.788613\pi$
$367$	−30.1718			−1.57495			−0.787477	+	0.616344i	$0.788613\pi$
$368$	0.980142	−	4.69461i	0.0510934	−	0.244723i
$369$			7.73158i			0.402490i
$370$	9.72517	−	4.44134i	0.505587	−	0.230894i
$371$	−5.51428	−	22.7449i	−0.286287	−	1.18086i
$372$	−0.693977	+	0.800892i	−0.0359810	+	0.0415243i
$373$	−13.0087	+	20.2420i	−0.673567	+	1.04809i	0.321308	+	0.946975i	$0.395878\pi$
$373$	−13.0087	+	20.2420i	−0.673567	+	1.04809i	−0.994875	+	0.101116i	$0.967759\pi$
$374$	11.2759	−	9.77065i	0.583065	−	0.505228i
$375$	9.52872	−	1.37002i	0.492061	−	0.0707477i
$376$	2.73864	−	9.32696i	0.141235	−	0.481001i
$377$	2.55500	+	3.97566i	0.131589	+	0.204757i
$378$	−11.2919	−	2.17808i	−0.580794	−	0.112028i
$379$	16.1712	+	7.38515i	0.830660	+	0.379350i	0.784915	−	0.619603i	$-0.212706\pi$
$379$	16.1712	+	7.38515i	0.830660	+	0.379350i	0.0457453	+	0.998953i	$0.485434\pi$
$380$	5.23048	−	11.4531i	0.268318	−	0.587534i
$381$	−5.20795	−	0.748790i	−0.266811	−	0.0383617i
$382$	−11.4376	−	17.7972i	−0.585197	−	0.910584i
$383$	17.8228	+	5.23326i	0.910704	+	0.267407i	0.703337	−	0.710856i	$-0.251692\pi$
$383$	17.8228	+	5.23326i	0.910704	+	0.267407i	0.207367	+	0.978263i	$0.433511\pi$
$384$	0.806201	−	0.115914i	0.0411413	−	0.00591522i
$385$	20.8944	−	16.4265i	1.06488	−	0.837174i
$386$	8.11615	+	5.21593i	0.413101	+	0.265484i
$387$	−18.6757	−	16.1826i	−0.949339	−	0.822607i
$388$	−1.72947	+	0.507819i	−0.0878006	+	0.0257806i
$389$	−8.89326	+	4.06142i	−0.450906	+	0.205922i	−0.627906	−	0.778289i	$-0.716088\pi$
$389$	−8.89326	+	4.06142i	−0.450906	+	0.205922i	0.177000	+	0.984211i	$0.443361\pi$
$390$	5.76009			0.291673
$391$	5.27790	+	13.7966i	0.266915	+	0.697722i
$392$	6.96811	+	0.667462i	0.351942	+	0.0337119i
$393$	−6.46239	−	14.1507i	−0.325985	−	0.713807i
$394$	−21.2734	+	6.24644i	−1.07174	+	0.314691i
$395$	−14.1640	−	12.2732i	−0.712670	−	0.617532i
$396$	6.11933	−	9.52186i	0.307508	−	0.478491i
$397$	2.74594	−	2.37937i	0.137815	−	0.119417i	−0.583226	−	0.812310i	$-0.698210\pi$
$397$	2.74594	−	2.37937i	0.137815	−	0.119417i	0.721040	+	0.692893i	$0.243664\pi$
$398$	2.31010	+	16.0671i	0.115795	+	0.805370i
$399$	−4.28105	+	12.3633i	−0.214320	+	0.618941i
$400$	−0.588297	+	0.378076i	−0.0294149	+	0.0189038i
$401$	−5.59619	−	0.804611i	−0.279461	−	0.0401804i	0.00115940	−	0.999999i	$-0.499631\pi$
$401$	−5.59619	−	0.804611i	−0.279461	−	0.0401804i	−0.280620	+	0.959819i	$0.590540\pi$
$402$	1.29934	−	2.84515i	0.0648050	−	0.141903i
$403$	1.84317	−	4.03598i	0.0918148	−	0.201046i
$404$	−5.34958	−	0.769153i	−0.266151	−	0.0382668i
$405$	−6.05295	+	3.88999i	−0.300773	+	0.193295i
$406$	−3.46471	−	1.19973i	−0.171951	−	0.0595414i
$407$	−3.55404	−	24.7189i	−0.176167	−	1.22527i
$408$	−1.89596	+	1.64286i	−0.0938640	+	0.0813336i
$409$	6.91893	−	10.7661i	0.342119	−	0.532348i	−0.626975	−	0.779039i	$-0.715707\pi$
$409$	6.91893	−	10.7661i	0.342119	−	0.532348i	0.969094	+	0.246692i	$0.0793436\pi$
$410$	5.18597	+	4.49367i	0.256117	+	0.221926i
$411$	−4.44234	+	1.30439i	−0.219125	+	0.0643408i
$412$	8.31477	+	18.2068i	0.409640	+	0.896985i
$413$	−0.994391	+	20.8098i	−0.0489308	+	1.02398i
$414$	6.79038	+	8.91427i	0.333729	+	0.438113i
$415$	−24.7005			−1.21250
$416$	−3.10198	+	1.41663i	−0.152087	+	0.0694559i
$417$	−10.4386	+	3.06506i	−0.511183	+	0.150097i
$418$	−22.2268	−	19.2597i	−1.08715	−	0.942021i
$419$	−11.2655	−	7.23991i	−0.550357	−	0.353693i	0.235721	−	0.971821i	$-0.424255\pi$
$419$	−11.2655	−	7.23991i	−0.550357	−	0.353693i	−0.786077	+	0.618128i	$0.787891\pi$
$420$	−3.51323	+	2.76199i	−0.171428	+	0.134771i
$421$	17.5510	−	2.52345i	0.855384	−	0.122986i	0.299348	−	0.954144i	$-0.403231\pi$
$421$	17.5510	−	2.52345i	0.855384	−	0.122986i	0.556036	+	0.831158i	$0.312322\pi$
$422$	−25.0756	−	7.36286i	−1.22066	−	0.358419i
$423$	12.2798	+	19.1078i	0.597066	+	0.929052i
$424$	−8.75578	−	1.25889i	−0.425218	−	0.0611371i
$425$	0.894781	−	1.95930i	0.0434033	−	0.0950399i
$426$	0.683421	+	0.312108i	0.0331118	+	0.0151217i
$427$	1.23649	−	6.41039i	0.0598379	−	0.310221i
$428$	7.63493	+	11.8802i	0.369048	+	0.574250i
$429$	3.79059	−	12.9096i	0.183011	−	0.623279i
$430$	−21.7090	+	3.12128i	−1.04690	+	0.150522i
$431$	−6.17413	+	5.34992i	−0.297398	+	0.257696i	−0.790759	−	0.612128i	$-0.790314\pi$
$431$	−6.17413	+	5.34992i	−0.297398	+	0.257696i	0.493361	+	0.869825i	$0.335768\pi$
$432$	−2.34996	+	3.65661i	−0.113062	+	0.175929i
$433$	15.5973	−	18.0002i	0.749556	−	0.865034i	−0.244969	−	0.969531i	$-0.578778\pi$
$433$	15.5973	−	18.0002i	0.749556	−	0.865034i	0.994525	+	0.104497i	$0.0333233\pi$
$434$	0.811075	+	3.34546i	0.0389328	+	0.160587i
$435$	2.12927	−	0.972403i	0.102090	−	0.0466232i
$436$		−	8.06462i		−	0.386225i
$437$	25.4380	−	14.1681i	1.21687	−	0.677751i
$438$	3.85565			0.184230
$439$	−11.9691	+	5.46610i	−0.571253	+	0.260883i	−0.680031	−	0.733184i	$-0.738034\pi$
$439$	−11.9691	+	5.46610i	−0.571253	+	0.260883i	0.108778	+	0.994066i	$0.465306\pi$
$440$	−2.83019	−	9.63875i	−0.134924	−	0.459509i
$441$	−11.8409	+	11.2836i	−0.563853	+	0.537313i
$442$	5.67868	−	8.83619i	0.270107	−	0.420295i
$443$	−12.3908	−	14.2997i	−0.588704	−	0.679401i	0.380749	−	0.924679i	$-0.375666\pi$
$443$	−12.3908	−	14.2997i	−0.588704	−	0.679401i	−0.969453	+	0.245278i	$0.921121\pi$
$444$	0.597584	+	4.15629i	0.0283601	+	0.197249i
$445$	23.6221	+	6.93608i	1.11980	+	0.328802i
$446$	2.00180	+	3.11487i	0.0947882	+	0.147493i
$447$	0.401043	−	2.78931i	0.0189687	−	0.131930i
$448$	1.21270	−	2.35146i	0.0572948	−	0.111096i
$449$	−10.6684	+	23.3605i	−0.503471	+	1.10245i	0.471854	+	0.881677i	$0.343585\pi$
$449$	−10.6684	+	23.3605i	−0.503471	+	1.10245i	−0.975325	+	0.220772i	$0.929142\pi$
$450$	0.232544	−	1.61738i	0.0109622	−	0.0762440i
$451$	13.4840	−	8.66566i	0.634938	−	0.408050i
$452$	3.02189	−	10.2916i	0.142138	−	0.484077i
$453$	−9.95486	+	1.43129i	−0.467720	+	0.0672480i
$454$	−13.1744	−	15.2041i	−0.618307	−	0.713564i
$455$	10.8556	−	15.2397i	0.508917	−	0.714449i
$456$	3.73727	+	3.23836i	0.175014	+	0.151650i
$457$	7.48824	+	25.5026i	0.350285	+	1.19296i	0.926699	+	0.375803i	$0.122633\pi$
$457$	7.48824	+	25.5026i	0.350285	+	1.19296i	−0.576415	+	0.817157i	$0.695549\pi$
$458$	−9.29339	−	20.3497i	−0.434252	−	0.950879i
$459$		−	13.3880i		−	0.624899i
$460$	9.92590	+	0.626402i	0.462797	+	0.0292061i
$461$		−	39.9452i		−	1.86043i	−0.367009	−	0.930217i	$-0.619618\pi$
$461$		−	39.9452i		−	1.86043i	0.367009	−	0.930217i	$-0.380382\pi$
$462$	3.87822	+	9.69150i	0.180431	+	0.450889i
$463$	13.5473	−	3.97783i	0.629594	−	0.184866i	0.0486592	−	0.998815i	$-0.484505\pi$
$463$	13.5473	−	3.97783i	0.629594	−	0.184866i	0.580935	+	0.813950i	$0.302687\pi$
$464$	−0.907523	+	1.04734i	−0.0421307	+	0.0486214i
$465$	−1.84881	−	1.18816i	−0.0857364	−	0.0550995i
$466$	16.2611	+	18.7663i	0.753280	+	0.869332i
$467$	−6.02273	−	41.8890i	−0.278699	−	1.93839i	−0.340362	−	0.940294i	$-0.610550\pi$
$467$	−6.02273	−	41.8890i	−0.278699	−	1.93839i	0.0616636	−	0.998097i	$-0.480359\pi$
$468$	2.24489	−	7.64540i	0.103770	−	0.353409i
$469$	−5.07879	−	8.79974i	−0.234517	−	0.406334i
$470$	19.9537	+	2.86891i	0.920397	+	0.132333i
$471$	−17.0168	−	7.77132i	−0.784093	−	0.358083i
$472$	7.16275	+	3.27112i	0.329692	+	0.150565i
$473$	−7.29077	+	50.7084i	−0.335230	+	2.33158i
$474$	6.19232	−	3.97956i	0.284423	−	0.182787i
$475$	−4.07382	−	1.19618i	−0.186920	−	0.0548846i
$476$	0.773424	+	8.11239i	0.0354498	+	0.371831i
$477$	15.6207	−	13.5354i	0.715223	−	0.619745i
$478$	7.65566	+	4.91999i	0.350162	+	0.225035i
$479$	−11.5572	+	13.3378i	−0.528064	+	0.609419i	−0.955631	−	0.294565i	$-0.904825\pi$
$479$	−11.5572	+	13.3378i	−0.528064	+	0.609419i	0.427567	+	0.903984i	$0.359371\pi$
$480$	0.475875	+	1.62068i	0.0217206	+	0.0739736i
$481$	−7.30328	−	15.9920i	−0.333001	−	0.729170i
$482$	10.2269			0.465824
$483$	−10.3294	+	0.330935i	−0.470006	+	0.0150580i
$484$	−12.4649			−0.566588
$485$	−1.55283	−	3.40022i	−0.0705102	−	0.154396i
$486$	−4.46990	−	15.2231i	−0.202759	−	0.690533i
$487$	6.18789	−	7.14121i	0.280400	−	0.323599i	−0.598026	−	0.801476i	$-0.704048\pi$
$487$	6.18789	−	7.14121i	0.280400	−	0.323599i	0.878427	+	0.477877i	$0.158594\pi$
$488$	−2.07585	−	1.33407i	−0.0939691	−	0.0603903i
$489$	7.30992	−	6.33408i	0.330566	−	0.286437i
$490$	0.686424	+	14.5004i	0.0310095	+	0.655063i
$491$	27.2396	+	7.99826i	1.22930	+	0.360956i	0.830987	−	0.556291i	$-0.187776\pi$
$491$	27.2396	+	7.99826i	1.22930	+	0.360956i	0.398317	+	0.917248i	$0.369594\pi$
$492$	−2.26723	+	1.45706i	−0.102215	+	0.0656895i
$493$	0.607468	−	4.22503i	0.0273590	−	0.190286i
$494$	−18.8334	−	8.60094i	−0.847356	−	0.386974i
$495$	21.3516	+	9.75093i	0.959681	+	0.438272i
$496$	1.28785	+	0.185165i	0.0578263	+	0.00831417i
$497$	2.11375	−	1.21995i	0.0948145	−	0.0547224i
$498$	2.73313	−	9.30819i	0.122474	−	0.417110i
$499$	0.406011	+	2.82387i	0.0181755	+	0.126414i	0.996889	−	0.0788175i	$-0.0251145\pi$
$499$	0.406011	+	2.82387i	0.0181755	+	0.126414i	−0.978714	+	0.205231i	$0.934205\pi$
$500$	−7.73999	−	8.93242i	−0.346143	−	0.399470i
$501$	−3.04845	−	1.95912i	−0.136195	−	0.0875270i
$502$	−1.31327	+	1.51559i	−0.0586140	+	0.0676441i
$503$	4.78449	−	1.40485i	0.213330	−	0.0626393i	−0.173321	−	0.984865i	$-0.555450\pi$
$503$	4.78449	−	1.40485i	0.213330	−	0.0626393i	0.386651	+	0.922226i	$0.373632\pi$
$504$	2.29679	+	5.73958i	0.102307	+	0.255661i
$505$		−	11.2081i		−	0.498754i
$506$	7.93592	−	21.8338i	0.352795	−	0.970631i
$507$			1.11657i			0.0495885i
$508$	2.68353	+	5.87610i	0.119062	+	0.260710i
$509$	−1.32641	−	4.51732i	−0.0587919	−	0.200227i	0.924860	−	0.380308i	$-0.124182\pi$
$509$	−1.32641	−	4.51732i	−0.0587919	−	0.200227i	−0.983652	+	0.180081i	$0.942364\pi$
$510$	−3.93186	−	3.40698i	−0.174106	−	0.150863i
$511$	7.26644	−	10.2011i	0.321449	−	0.451269i
$512$	−0.654861	−	0.755750i	−0.0289410	−	0.0333997i
$513$	−26.1215	+	3.75571i	−1.15329	+	0.165819i
$514$	−0.683787	+	2.32876i	−0.0301605	+	0.102717i
$515$	−34.9192	+	22.4412i	−1.53872	+	0.988878i
$516$	1.22589	−	8.52623i	0.0539666	−	0.375346i
$517$	19.5610	−	42.8325i	0.860290	−	1.88377i
$518$	12.1227	+	6.25197i	0.532641	+	0.274696i
$519$	1.73396	−	12.0599i	0.0761123	−	0.529372i
$520$	−3.82341	−	5.94935i	−0.167668	−	0.260896i
$521$	−15.7459	−	4.62343i	−0.689842	−	0.202556i	−0.0820219	−	0.996631i	$-0.526138\pi$
$521$	−15.7459	−	4.62343i	−0.689842	−	0.202556i	−0.607820	+	0.794075i	$0.707956\pi$
$522$	−0.460833	−	3.20517i	−0.0201701	−	0.140286i
$523$	22.9767	+	26.5166i	1.00470	+	1.15949i	0.987175	+	0.159642i	$0.0510340\pi$
$523$	22.9767	+	26.5166i	1.00470	+	1.15949i	0.0175274	+	0.999846i	$0.494421\pi$
$524$	−10.3260	+	16.0676i	−0.451095	+	0.701917i
$525$	1.09049	+	1.04009i	0.0475930	+	0.0453933i
$526$	−5.37218	−	18.2960i	−0.234238	−	0.797742i
$527$	−3.64536	+	1.66478i	−0.158794	+	0.0725189i
$528$	3.94545			0.171704
$529$	17.6321	+	14.7685i	0.766613	+	0.642110i
$530$		−	18.3445i		−	0.796836i
$531$	−16.7365	+	7.64331i	−0.726303	+	0.331691i
$532$	15.6112	−	3.78479i	0.676832	−	0.164091i
$533$	7.38934	−	8.52775i	0.320068	−	0.369378i
$534$	−5.22761	+	8.13432i	−0.226221	+	0.352006i
$535$	−22.1331	+	19.1785i	−0.956899	+	0.829158i
$536$	−3.80111	+	0.546516i	−0.164183	+	0.0236059i
$537$	−0.459586	+	1.56521i	−0.0198326	+	0.0675436i
$538$	−7.11508	−	11.0713i	−0.306753	−	0.477317i
$539$	32.9502	+	8.00400i	1.41927	+	0.344757i
$540$	−8.19948	−	3.74458i	−0.352849	−	0.161141i
$541$	−9.09862	+	19.9232i	−0.391180	+	0.856565i	0.606909	+	0.794772i	$0.292409\pi$
$541$	−9.09862	+	19.9232i	−0.391180	+	0.856565i	−0.998089	+	0.0617938i	$0.980318\pi$
$542$	−12.7487	−	1.83298i	−0.547602	−	0.0787332i
$543$	−2.42598	−	3.77489i	−0.104109	−	0.161996i
$544$	2.95533	+	0.867764i	0.126709	+	0.0372051i
$545$	16.5543	−	2.38014i	0.709106	−	0.101954i
$546$	4.54179	+	5.77712i	0.194371	+	0.247238i
$547$	12.4211	+	7.98254i	0.531087	+	0.341309i	0.778544	−	0.627590i	$-0.215959\pi$
$547$	12.4211	+	7.98254i	0.531087	+	0.341309i	−0.247457	+	0.968899i	$0.579595\pi$
$548$	4.29598	+	3.72248i	0.183515	+	0.159017i
$549$	5.53216	−	1.62439i	0.236107	−	0.0693273i
$550$	−3.08138	+	1.40722i	−0.131391	+	0.0600040i
$551$	−8.41393			−0.358445
$552$	−1.33436	+	3.67118i	−0.0567942	+	0.156256i
$553$	1.14126	−	23.8833i	0.0485311	−	1.01562i
$554$	−7.79091	−	17.0597i	−0.331004	−	0.724797i
$555$	−8.35525	+	2.45332i	−0.354661	+	0.104138i
$556$	10.0947	+	8.74712i	0.428111	+	0.370960i
$557$	5.00111	−	7.78187i	0.211904	−	0.329728i	−0.718989	−	0.695021i	$-0.755395\pi$
$557$	5.00111	−	7.78187i	0.211904	−	0.329728i	0.930893	+	0.365293i	$0.119031\pi$
$558$	−2.29759	+	1.99087i	−0.0972648	+	0.0842804i
$559$	5.13260	+	35.6980i	0.217086	+	1.50986i
$560$	5.18475	+	1.79532i	0.219096	+	0.0758662i
$561$	−10.2232	+	6.57007i	−0.431625	+	0.277388i
$562$	2.12835	+	0.306011i	0.0897791	+	0.0129083i
$563$	7.97527	−	17.4634i	0.336118	−	0.735995i	−0.663812	−	0.747900i	$-0.731062\pi$
$563$	7.97527	−	17.4634i	0.336118	−	0.735995i	0.999929	+	0.0119051i	$0.00378959\pi$
$564$	−3.28902	+	7.20196i	−0.138493	+	0.303257i
$565$	22.0175	+	3.16564i	0.926283	+	0.133179i
$566$	−7.19883	+	4.62641i	−0.302589	+	0.194462i
$567$	−8.67420	−	3.00361i	−0.364282	−	0.126140i
$568$	−0.131276	−	0.913047i	−0.00550823	−	0.0383106i
$569$	23.3930	−	20.2701i	0.980684	−	0.849767i	−0.00797156	−	0.999968i	$-0.502537\pi$
$569$	23.3930	−	20.2701i	0.980684	−	0.849767i	0.988656	+	0.150201i	$0.0479920\pi$
$570$	−5.54440	+	8.62725i	−0.232229	+	0.361356i
$571$	5.51317	+	4.77719i	0.230719	+	0.199919i	0.762546	−	0.646934i	$-0.223949\pi$
$571$	5.51317	+	4.77719i	0.230719	+	0.199919i	−0.531827	+	0.846853i	$0.678494\pi$
$572$	−15.8498	+	4.65393i	−0.662715	+	0.194591i
$573$	7.15803	+	15.6739i	0.299031	+	0.654787i
$574$	−0.417855	+	8.74454i	−0.0174409	+	0.364990i
$575$	−0.267265	−	3.34311i	−0.0111457	−	0.139417i
$576$	2.33660			0.0973585
$577$	20.8428	−	9.51858i	0.867696	−	0.396264i	0.0687269	−	0.997636i	$-0.478106\pi$
$577$	20.8428	−	9.51858i	0.867696	−	0.396264i	0.798969	+	0.601372i	$0.205379\pi$
$578$	7.20866	−	2.11665i	0.299841	−	0.0880411i
$579$	−5.93865	−	5.14587i	−0.246802	−	0.213855i
$580$	−2.41771	−	1.55377i	−0.100390	−	0.0645168i
$581$	−19.4762	−	24.7736i	−0.808009	−	1.02778i
$582$	1.45317	−	0.208934i	0.0602356	−	0.00866058i
$583$	−41.1140	−	12.0722i	−1.70277	−	0.499977i
$584$	−2.55930	−	3.98234i	−0.105904	−	0.164791i
$585$	16.3563	+	2.35168i	0.676249	+	0.0972299i
$586$	−11.8942	+	26.0447i	−0.491345	+	1.07589i
$587$	−7.46907	−	3.41101i	−0.308281	−	0.140787i	0.255267	−	0.966871i	$-0.417837\pi$
$587$	−7.46907	−	3.41101i	−0.308281	−	0.140787i	−0.563548	+	0.826083i	$0.690564\pi$
$588$	−5.54032	−	1.34581i	−0.228479	−	0.0555003i
$589$	4.27079	+	6.64548i	0.175975	+	0.273822i
$590$	−4.60066	+	15.6684i	−0.189406	+	0.645058i
$591$	17.8747	−	2.56999i	0.735267	−	0.105715i
$592$	3.89619	−	3.37607i	0.160132	−	0.138756i
$593$	1.83135	−	2.84964i	0.0752045	−	0.117020i	−0.801614	−	0.597842i	$-0.796025\pi$
$593$	1.83135	−	2.84964i	0.0752045	−	0.117020i	0.876819	+	0.480821i	$0.159661\pi$
$594$	−13.7883	+	15.9125i	−0.565740	+	0.652899i
$595$	−16.4241	+	3.98185i	−0.673321	+	0.163240i
$596$	−3.14717	+	1.43726i	−0.128913	+	0.0588726i
$597$		−	13.2211i		−	0.541103i
$598$	1.03005	−	16.3220i	0.0421218	−	0.667458i
$599$	−34.0767			−1.39234			−0.696168	−	0.717879i	$-0.745113\pi$
$599$	−34.0767			−1.39234			−0.696168	+	0.717879i	$0.745113\pi$
$600$	0.518110	−	0.236613i	0.0211518	−	0.00965968i
$601$	7.30585	+	24.8814i	0.298012	+	1.01494i	0.963318	+	0.268364i	$0.0864831\pi$
$601$	7.30585	+	24.8814i	0.298012	+	1.01494i	−0.665306	+	0.746571i	$0.731699\pi$
$602$	−20.2479	−	19.3121i	−0.825243	−	0.787102i
$603$	4.85118	−	7.54858i	0.197555	−	0.307402i
$604$	8.08613	+	9.33189i	0.329020	+	0.379709i
$605$	−3.67883	−	25.5868i	−0.149566	−	1.04025i
$606$	4.22368	+	1.24018i	0.171575	+	0.0503790i
$607$	24.3087	+	37.8251i	0.986660	+	1.53527i	0.837484	+	0.546462i	$0.184026\pi$
$607$	24.3087	+	37.8251i	0.986660	+	1.53527i	0.149176	+	0.988811i	$0.452338\pi$
$608$	0.864053	−	6.00962i	0.0350420	−	0.243722i
$609$	2.65419	+	1.36883i	0.107553	+	0.0554678i
$610$	2.12579	−	4.65482i	0.0860705	−	0.188468i
$611$	4.71761	−	32.8117i	0.190854	−	1.32742i
$612$	−6.05448	+	3.89098i	−0.244738	+	0.157283i
$613$	−6.43659	+	21.9210i	−0.259971	+	0.885381i	0.721279	+	0.692644i	$0.243554\pi$
$613$	−6.43659	+	21.9210i	−0.259971	+	0.885381i	−0.981251	+	0.192736i	$0.938264\pi$
$614$	−30.6695	+	4.40960i	−1.23772	+	0.177957i
$615$	−3.66005	−	4.22393i	−0.147588	−	0.170325i
$616$	7.43567	−	10.4387i	0.299592	−	0.420585i
$617$	−28.7064	−	24.8743i	−1.15568	−	1.00140i	−0.999907	−	0.0136065i	$-0.995669\pi$
$617$	−28.7064	−	24.8743i	−1.15568	−	1.00140i	−0.155770	−	0.987793i	$-0.549786\pi$
$618$	−4.59295	−	15.6422i	−0.184756	−	0.629220i
$619$	5.18810	+	11.3603i	0.208527	+	0.456611i	0.984779	−	0.173812i	$-0.0556086\pi$
$619$	5.18810	+	11.3603i	0.208527	+	0.456611i	−0.776252	+	0.630423i	$0.782881\pi$
$620$			2.69823i			0.108363i
$621$	−10.1431	−	18.2115i	−0.407030	−	0.730801i
$622$		−	1.43185i		−	0.0574120i
$623$	11.6693	+	29.1610i	0.467520	+	1.16831i
$624$	2.66503	−	0.782523i	0.106686	−	0.0313260i
$625$	13.7615	−	15.8816i	0.550461	−	0.635265i
$626$	21.7909	+	14.0041i	0.870939	+	0.559718i
$627$	15.6868	+	18.1036i	0.626472	+	0.722987i
$628$	3.26871	+	22.7344i	0.130436	+	0.907200i
$629$	−4.47367	+	15.2359i	−0.178377	+	0.607496i
$630$	−11.1038	+	6.40858i	−0.442385	+	0.255324i
$631$	39.7098	+	5.70941i	1.58082	+	0.227288i	0.876077	−	0.482171i	$-0.160152\pi$
$631$	39.7098	+	5.70941i	1.58082	+	0.227288i	0.704747	+	0.709459i	$0.251061\pi$
$632$	−8.22064	−	3.75424i	−0.327000	−	0.149336i
$633$	19.3625	+	8.84257i	0.769591	+	0.351460i
$634$	−2.14933	+	14.9489i	−0.0853608	+	0.593697i
$635$	−11.2699	+	7.24272i	−0.447232	+	0.287418i
$636$	6.91299	+	2.02984i	0.274118	+	0.0804883i
$637$	23.8443	−	1.12875i	0.944747	−	0.0447226i
$638$	−5.07337	+	4.39610i	−0.200857	+	0.174043i
$639$	1.81321	+	1.16528i	0.0717295	+	0.0460977i
$640$	1.35806	−	1.56728i	0.0536819	−	0.0619522i
$641$	−6.67332	−	22.7272i	−0.263580	−	0.897672i	−0.979831	−	0.199829i	$-0.935961\pi$
$641$	−6.67332	−	22.7272i	−0.263580	−	0.897672i	0.716251	−	0.697843i	$-0.245857\pi$
$642$	−4.77820	−	10.4628i	−0.188581	−	0.412934i
$643$	7.07373			0.278961			0.139480	−	0.990225i	$-0.455457\pi$
$643$	7.07373			0.278961			0.139480	+	0.990225i	$0.455457\pi$
$644$	7.19825	+	10.4492i	0.283651	+	0.411755i
$645$	17.8636			0.703379
$646$	7.76850	+	17.0106i	0.305647	+	0.669275i
$647$	4.65494	+	15.8533i	0.183005	+	0.623257i	0.998979	+	0.0451690i	$0.0143826\pi$
$647$	4.65494	+	15.8533i	0.183005	+	0.623257i	−0.815975	+	0.578088i	$0.803799\pi$
$648$	−2.27206	+	2.62210i	−0.0892549	+	0.103006i
$649$	32.0886	+	20.6221i	1.25959	+	0.809488i
$650$	−1.80228	+	1.56168i	−0.0706911	+	0.0612542i
$651$	−0.266102	−	2.79113i	−0.0104294	−	0.109393i
$652$	−11.3944	−	3.34569i	−0.446238	−	0.131027i
$653$	28.4059	−	18.2554i	1.11161	−	0.714387i	0.149965	−	0.988691i	$-0.452084\pi$
$653$	28.4059	−	18.2554i	1.11161	−	0.714387i	0.961643	+	0.274304i	$0.0884474\pi$
$654$	−0.934804	+	6.50170i	−0.0365537	+	0.254237i
$655$	−36.0296	−	16.4542i	−1.40779	−	0.642918i
$656$	3.00988	+	1.37456i	0.117516	+	0.0536677i
$657$	10.9485	+	1.57415i	0.427141	+	0.0614136i
$658$	12.8560	+	22.2749i	0.501179	+	0.868365i
$659$	−8.17512	+	27.8419i	−0.318457	+	1.08457i	0.632324	+	0.774704i	$0.282101\pi$
$659$	−8.17512	+	27.8419i	−0.318457	+	1.08457i	−0.950781	+	0.309862i	$0.899717\pi$
$660$	1.16444	+	8.09883i	0.0453256	+	0.315246i
$661$	6.18421	+	7.13696i	0.240538	+	0.277595i	0.863164	−	0.504924i	$-0.168480\pi$
$661$	6.18421	+	7.13696i	0.240538	+	0.277595i	−0.622626	+	0.782520i	$0.713934\pi$
$662$	−13.5160	−	8.68619i	−0.525313	−	0.337598i
$663$	−5.60239	+	6.46551i	−0.217579	+	0.251099i
$664$	−11.4282	+	3.35563i	−0.443501	+	0.130224i
$665$	12.3764	+	30.9282i	0.479938	+	1.19934i
$666$			12.0461i			0.466778i
$667$	−2.37468	−	6.20747i	−0.0919479	−	0.240354i
$668$			4.44903i			0.172138i
$669$	−1.25280	−	2.74325i	−0.0484360	−	0.106060i
$670$	−2.24367	−	7.64124i	−0.0866806	−	0.295207i
$671$	−9.03349	−	7.82757i	−0.348734	−	0.302180i
$672$	−1.25025	+	1.75518i	−0.0482294	+	0.0677074i
$673$	5.25815	+	6.06823i	0.202687	+	0.233913i	0.847988	−	0.530015i	$-0.177814\pi$
$673$	5.25815	+	6.06823i	0.202687	+	0.233913i	−0.645301	+	0.763928i	$0.723268\pi$
$674$	−2.40479	+	0.345756i	−0.0926289	+	0.0133180i
$675$	−0.856364	+	2.91651i	−0.0329615	+	0.112256i
$676$	1.15326	−	0.741153i	0.0443560	−	0.0285059i
$677$	−0.0570119	+	0.396527i	−0.00219115	+	0.0152398i	−0.990888	−	0.134691i	$-0.956996\pi$
$677$	−0.0570119	+	0.396527i	−0.00219115	+	0.0152398i	0.988697	+	0.149931i	$0.0479050\pi$
$678$	−3.62920	+	7.94684i	−0.139379	+	0.305196i
$679$	2.18588	−	4.23847i	0.0838863	−	0.162657i
$680$	−0.909042	+	6.32253i	−0.0348602	+	0.242458i
$681$	8.85887	+	13.7847i	0.339473	+	0.528230i
$682$	6.04729	+	1.77565i	0.231563	+	0.0679930i
$683$	2.52225	+	17.5426i	0.0965112	+	0.671250i	0.979439	+	0.201741i	$0.0646600\pi$
$683$	2.52225	+	17.5426i	0.0965112	+	0.671250i	−0.882928	+	0.469509i	$0.844431\pi$
$684$	9.29018	+	10.7214i	0.355219	+	0.409945i
$685$	−6.37326	+	9.91699i	−0.243510	+	0.378909i
$686$	−14.0021	+	12.1220i	−0.534602	+	0.462818i
$687$	5.13352	+	17.4832i	0.195856	+	0.667025i
$688$	−9.62010	+	4.39335i	−0.366763	+	0.167495i
$689$	−30.1656			−1.14922
$690$	−7.92966	−	1.65556i	−0.301877	−	0.0630260i
$691$		−	4.98545i		−	0.189655i	−0.995494	−	0.0948277i	$-0.969770\pi$
$691$		−	4.98545i		−	0.189655i	0.995494	−	0.0948277i	$-0.0302300\pi$
$692$	−13.6072	+	6.21418i	−0.517267	+	0.236228i
$693$	7.05580	+	29.1033i	0.268028	+	1.10554i
$694$	6.10825	−	7.04930i	0.231866	−	0.267588i
$695$	−14.9759	+	23.3030i	−0.568070	+	0.883934i
$696$	0.853047	−	0.739169i	0.0323347	−	0.0280181i
$697$	−10.0880	+	1.45043i	−0.382110	+	0.0549391i
$698$	5.00973	−	17.0616i	0.189621	−	0.645790i
$699$	−10.9344	−	17.0143i	−0.413578	−	0.643540i
$700$	0.350423	−	1.81671i	0.0132447	−	0.0686653i
$701$	9.41467	+	4.29954i	0.355587	+	0.162391i	0.585196	−	0.810892i	$-0.301017\pi$
$701$	9.41467	+	4.29954i	0.355587	+	0.162391i	−0.229609	+	0.973283i	$0.573745\pi$
$702$	−6.15754	+	13.4831i	−0.232401	+	0.508888i
$703$	30.9820	+	4.45454i	1.16851	+	0.168006i
$704$	−2.61890	−	4.07508i	−0.0987034	−	0.153586i
$705$	−15.7542	−	4.62584i	−0.593336	−	0.174219i
$706$	−15.8227	+	2.27496i	−0.595494	+	0.0856191i
$707$	11.2412	−	8.83751i	0.422770	−	0.332369i
$708$	−5.39545	−	3.46744i	−0.202773	−	0.130315i
$709$	2.70712	+	2.34573i	0.101668	+	0.0880959i	0.704212	−	0.709990i	$-0.251301\pi$
$709$	2.70712	+	2.34573i	0.101668	+	0.0880959i	−0.602544	+	0.798086i	$0.705846\pi$
$710$	1.83547	−	0.538942i	0.0688839	−	0.0202261i
$711$	19.2084	−	8.77218i	0.720371	−	0.328982i
$712$	11.8716			0.444906
$713$	−3.69743	+	5.02639i	−0.138470	+	0.188240i
$714$	0.316806	−	6.62987i	0.0118562	−	0.248117i
$715$	−14.2310	−	31.1615i	−0.532208	−	1.16537i
$716$	1.92170	−	0.564261i	0.0718172	−	0.0210874i
$717$	−5.60170	−	4.85390i	−0.209199	−	0.181272i
$718$	5.66617	−	8.81673i	0.211460	−	0.329038i
$719$	−18.8339	+	16.3197i	−0.702386	+	0.608621i	−0.931053	−	0.364884i	$-0.881109\pi$
$719$	−18.8339	+	16.3197i	−0.702386	+	0.608621i	0.228667	+	0.973505i	$0.426563\pi$
$720$	0.689611	+	4.79635i	0.0257003	+	0.178749i
$721$	−50.0411	−	17.3277i	−1.86363	−	0.645318i
$722$	15.0266	−	9.65699i	0.559231	−	0.359396i
$723$	−8.24496	−	1.18545i	−0.306633	−	0.0440872i
$724$	−2.28862	+	5.01138i	−0.0850559	+	0.186246i
$725$	−0.402588	+	0.881544i	−0.0149517	+	0.0327397i
$726$	10.0492	+	1.44486i	0.372962	+	0.0536239i
$727$	−34.7022	+	22.3018i	−1.28704	+	0.827127i	−0.991738	−	0.128278i	$-0.959055\pi$
$727$	−34.7022	+	22.3018i	−1.28704	+	0.827127i	−0.295297	+	0.955406i	$0.595419\pi$
$728$	2.95221	−	8.52574i	0.109416	−	0.315985i
$729$	0.357769	+	2.48833i	0.0132507	+	0.0921605i
$730$	7.41923	−	6.42880i	0.274598	−	0.237940i
$731$	17.6111	−	27.4035i	0.651371	−	1.01355i
$732$	1.51891	+	1.31614i	0.0561406	+	0.0486461i
$733$	−40.9547	+	12.0254i	−1.51270	+	0.444168i	−0.929703	−	0.368310i	$-0.879937\pi$
$733$	−40.9547	+	12.0254i	−1.51270	+	0.444168i	−0.582993	+	0.812477i	$0.698118\pi$
$734$	−12.5338	−	27.4452i	−0.462632	−	1.01302i
$735$	1.12741	−	11.7698i	0.0415852	−	0.434137i
$736$	4.67753	−	1.05864i	0.172416	−	0.0390220i
$737$	−18.6021			−0.685218
$738$	−7.03289	+	3.21181i	−0.258884	+	0.118229i
$739$	0.816662	−	0.239793i	0.0300414	−	0.00882094i	−0.266677	−	0.963786i	$-0.585926\pi$
$739$	0.816662	−	0.239793i	0.0300414	−	0.00882094i	0.296719	+	0.954965i	$0.404108\pi$
$740$	8.07996	+	7.00133i	0.297025	+	0.257374i
$741$	14.1866	+	9.11714i	0.521156	+	0.334927i
$742$	18.3988	−	14.4646i	0.675441	−	0.531010i
$743$	19.1878	−	2.75879i	0.703933	−	0.101210i	0.218953	−	0.975735i	$-0.429736\pi$
$743$	19.1878	−	2.75879i	0.703933	−	0.101210i	0.484980	+	0.874525i	$0.338827\pi$
$744$	−1.01681	−	0.298561i	−0.0372779	−	0.0109458i
$745$	−3.87911	−	6.03601i	−0.142119	−	0.221142i
$746$	−23.8168	−	3.42434i	−0.871995	−	0.125374i
$747$	11.5612	−	25.3156i	0.423003	−	0.926248i
$748$	13.5719	+	6.19807i	0.496237	+	0.226624i
$749$	−36.6870	−	7.07650i	−1.34051	−	0.258570i
$750$	5.20459	+	8.09850i	0.190045	+	0.295715i
$751$	6.57343	−	22.3871i	0.239868	−	0.816915i	−0.748276	−	0.663387i	$-0.769118\pi$
$751$	6.57343	−	22.3871i	0.239868	−	0.816915i	0.988144	−	0.153528i	$-0.0490635\pi$
$752$	9.62177	−	1.38340i	0.350870	−	0.0504475i
$753$	1.23444	−	1.06964i	0.0449853	−	0.0389800i
$754$	−2.55500	+	3.97566i	−0.0930476	+	0.144785i
$755$	−16.7691	+	19.3526i	−0.610290	+	0.704312i
$756$	−2.70958	−	11.1763i	−0.0985466	−	0.406478i
$757$	35.1646	−	16.0591i	1.27808	−	0.583680i	0.343406	−	0.939187i	$-0.388419\pi$
$757$	35.1646	−	16.0591i	1.27808	−	0.583680i	0.934673	+	0.355507i	$0.115692\pi$
$758$			17.7778i			0.645718i
$759$	−8.92879	+	16.6825i	−0.324095	+	0.605538i
$760$	12.5910			0.456722
$761$	39.5415	−	18.0580i	1.43338	−	0.654602i	0.460870	−	0.887468i	$-0.347537\pi$
$761$	39.5415	−	18.0580i	1.43338	−	0.654602i	0.972509	+	0.232865i	$0.0748101\pi$
$762$	−1.48234	−	5.04838i	−0.0536994	−	0.182883i
$763$	15.4401	+	14.7265i	0.558969	+	0.533135i
$764$	11.4376	−	17.7972i	0.413797	−	0.643880i
$765$	−9.77390	−	11.2797i	−0.353376	−	0.407818i
$766$	2.64354	+	18.3862i	0.0955148	+	0.664320i
$767$	25.7650	+	7.56528i	0.930319	+	0.273166i
$768$	0.440347	+	0.685194i	0.0158897	+	0.0247248i
$769$	2.14132	−	14.8932i	0.0772179	−	0.537062i	−0.914091	−	0.405509i	$-0.867094\pi$
$769$	2.14132	−	14.8932i	0.0772179	−	0.537062i	0.991309	−	0.131553i	$-0.0419965\pi$
$770$	23.6220	+	12.1824i	0.851276	+	0.439023i
$771$	0.821206	−	1.79819i	0.0295750	−	0.0647602i
$772$	−1.37301	+	9.54949i	−0.0494157	+	0.343694i
$773$	6.06738	−	3.89927i	0.218229	−	0.140247i	−0.426960	−	0.904271i	$-0.640415\pi$
$773$	6.06738	−	3.89927i	0.218229	−	0.140247i	0.645188	+	0.764024i	$0.276779\pi$
$774$	6.96203	−	23.7105i	0.250245	−	0.852256i
$775$	0.900609	−	0.129488i	0.0323508	−	0.00465135i
$776$	−1.18038	−	1.36223i	−0.0423731	−	0.0489011i
$777$	−9.04864	−	6.44554i	−0.324618	−	0.231232i
$778$	−7.38879	−	6.40242i	−0.264901	−	0.229538i
$779$	5.65992	+	19.2759i	0.202788	+	0.690631i
$780$	2.39283	+	5.23956i	0.0856769	+	0.187606i
$781$		−	4.46834i		−	0.159890i
$782$	−10.3573	+	10.5322i	−0.370375	+	0.376632i
$783$			6.02365i			0.215268i
$784$	2.28751	+	6.61569i	0.0816968	+	0.236274i
$785$	−45.7022	+	13.4194i	−1.63118	+	0.478958i
$786$	10.1873	−	11.7568i	0.363370	−	0.419351i
$787$	−22.5360	−	14.4830i	−0.803321	−	0.516263i	0.0733772	−	0.997304i	$-0.476622\pi$
$787$	−22.5360	−	14.4830i	−0.803321	−	0.516263i	−0.876698	+	0.481041i	$0.840259\pi$
$788$	−14.5193	−	16.7561i	−0.517227	−	0.596912i
$789$	2.21029	+	15.3729i	0.0786886	+	0.547291i
$790$	5.28015	−	17.9825i	0.187859	−	0.639790i
$791$	14.1857	+	24.5787i	0.504384	+	0.873918i
$792$	11.2034	+	1.61081i	0.398097	+	0.0572377i
$793$	−7.65433	−	3.49562i	−0.271813	−	0.124133i
$794$	3.30506	+	1.50937i	0.117292	+	0.0535656i
$795$	−2.12639	+	14.7894i	−0.0754154	+	0.524526i
$796$	−13.6555	+	8.77585i	−0.484006	+	0.311052i
$797$	14.5369	+	4.26842i	0.514924	+	0.151195i	0.528862	−	0.848708i	$-0.322619\pi$
$797$	14.5369	+	4.26842i	0.514924	+	0.151195i	−0.0139386	+	0.999903i	$0.504437\pi$
$798$	−13.0245	+	1.24174i	−0.461062	+	0.0439570i
$799$	−22.6277	+	19.6070i	−0.800512	+	0.693647i
$800$	−0.588297	−	0.378076i	−0.0207994	−	0.0133670i
$801$	−18.1653	+	20.9638i	−0.641838	+	0.740721i
$802$	−1.59284	−	5.42472i	−0.0562452	−	0.191554i
$803$	−9.52585	−	20.8587i	−0.336160	−	0.736087i
$804$	3.12780			0.110309
$805$	−19.3246	+	17.8598i	−0.681102	+	0.629474i
$806$	4.43693			0.156284
$807$	4.45287	+	9.75042i	0.156748	+	0.343231i
$808$	−1.52265	−	5.18566i	−0.0535666	−	0.182431i
$809$	−1.49520	+	1.72555i	−0.0525684	+	0.0606672i	−0.781425	−	0.623999i	$-0.785507\pi$
$809$	−1.49520	+	1.72555i	−0.0525684	+	0.0606672i	0.728856	+	0.684667i	$0.240052\pi$
$810$	−6.05295	−	3.88999i	−0.212679	−	0.136680i
$811$	7.63543	−	6.61614i	0.268116	−	0.232324i	−0.510418	−	0.859927i	$-0.670509\pi$
$811$	7.63543	−	6.61614i	0.268116	−	0.232324i	0.778534	+	0.627603i	$0.215964\pi$
$812$	−0.347986	−	3.65000i	−0.0122119	−	0.128090i
$813$	10.0655	+	2.95550i	0.353013	+	0.103654i
$814$	21.0087	−	13.5015i	0.736354	−	0.473226i
$815$	3.50483	−	24.3767i	0.122769	−	0.853877i
$816$	−2.28201	−	1.04216i	−0.0798862	−	0.0364828i
$817$	−58.4076	−	26.6739i	−2.04342	−	0.933200i
$818$	12.6674	+	1.82129i	0.442905	+	0.0636801i
$819$	10.5382	+	18.2589i	0.368234	+	0.638019i
$820$	−1.93326	+	6.58406i	−0.0675122	+	0.229925i
$821$	5.83567	+	40.5880i	0.203666	+	1.41653i	0.793286	+	0.608850i	$0.208369\pi$
$821$	5.83567	+	40.5880i	0.203666	+	1.41653i	−0.589619	+	0.807681i	$0.700722\pi$
$822$	−3.03193	−	3.49903i	−0.105751	−	0.122043i
$823$	39.8043	+	25.5806i	1.38749	+	0.891685i	0.999550	−	0.0299996i	$-0.00955059\pi$
$823$	39.8043	+	25.5806i	1.38749	+	0.891685i	0.387939	+	0.921685i	$0.373187\pi$
$824$	−13.1074	+	15.1268i	−0.456619	+	0.526966i
$825$	2.64733	−	0.777326i	0.0921681	−	0.0270630i
$826$	−19.3423	+	7.74018i	−0.673006	+	0.269315i
$827$			37.6605i			1.30958i	0.755809	+	0.654792i	$0.227244\pi$
$827$			37.6605i			1.30958i	−0.755809	+	0.654792i	$0.772756\pi$
$828$	−5.28788	+	9.87987i	−0.183767	+	0.343349i
$829$		−	15.3043i		−	0.531540i	−0.964036	−	0.265770i	$-0.914374\pi$
$829$		−	15.3043i		−	0.531540i	0.964036	−	0.265770i	$-0.0856262\pi$
$830$	−10.2610	−	22.4684i	−0.356163	−	0.779889i
$831$	4.30357	+	14.6566i	0.149289	+	0.508433i
$832$	−2.57722	−	2.23317i	−0.0893490	−	0.0774214i
$833$	−16.9439	−	13.3330i	−0.587071	−	0.461960i
$834$	−7.12445	−	8.22206i	−0.246700	−	0.284706i
$835$	−9.13254	+	1.31306i	−0.316044	+	0.0454403i
$836$	8.28585	−	28.2190i	0.286572	−	0.975975i
$837$	4.75760	−	3.05752i	0.164447	−	0.105683i
$838$	1.90579	−	13.2550i	0.0658343	−	0.457888i
$839$	3.78920	−	8.29718i	0.130818	−	0.286451i	−0.832877	−	0.553459i	$-0.813308\pi$
$839$	3.78920	−	8.29718i	0.130818	−	0.286451i	0.963694	+	0.267008i	$0.0860350\pi$
$840$	−3.97185	−	2.04838i	−0.137042	−	0.0706757i
$841$	3.85381	−	26.8039i	0.132890	−	0.924271i
$842$	9.58637	+	14.9167i	0.330368	+	0.514063i
$843$	−1.68041	−	0.493412i	−0.0578763	−	0.0169940i
$844$	−3.71929	−	25.8682i	−0.128023	−	0.890421i
$845$	1.86173	+	2.14855i	0.0640455	+	0.0739124i
$846$	−12.2798	+	19.1078i	−0.422189	+	0.656939i
$847$	22.7618	−	23.8647i	0.782103	−	0.820002i
$848$	−2.49215	−	8.48750i	−0.0855809	−	0.291462i
$849$	6.33997	−	2.89537i	0.217587	−	0.0993687i
$850$	2.15395			0.0738797
$851$	5.45772	+	24.1145i	0.187088	+	0.826636i
$852$			0.751316i			0.0257397i
$853$	36.2330	−	16.5471i	1.24059	−	0.566561i	0.316452	−	0.948608i	$-0.397508\pi$
$853$	36.2330	−	16.5471i	1.24059	−	0.566561i	0.924143	+	0.382048i	$0.124781\pi$
$854$	6.34476	−	1.53822i	0.217113	−	0.0526369i
$855$	−19.2661	+	22.2342i	−0.658886	+	0.760395i
$856$	−7.63493	+	11.8802i	−0.260956	+	0.406056i
$857$	−22.8510	+	19.8005i	−0.780574	+	0.676371i	−0.951066	−	0.308988i	$-0.900010\pi$
$857$	−22.8510	+	19.8005i	−0.780574	+	0.676371i	0.170492	+	0.985359i	$0.445464\pi$
$858$	13.3176	−	1.91478i	0.454656	−	0.0653696i
$859$	−4.81834	+	16.4098i	−0.164400	+	0.559894i	0.835545	+	0.549421i	$0.185152\pi$
$859$	−4.81834	+	16.4098i	−0.164400	+	0.559894i	−0.999945	+	0.0104728i	$0.996666\pi$
$860$	−11.8575	−	18.4506i	−0.404336	−	0.629159i
$861$	1.35049	−	7.00142i	0.0460246	−	0.238608i
$862$	−7.43128	−	3.39375i	−0.253111	−	0.115592i
$863$	22.1956	−	48.6015i	0.755545	−	1.65441i	−0.000591406	−	1.00000i	$-0.500188\pi$
$863$	22.1956	−	48.6015i	0.755545	−	1.65441i	0.756137	−	0.654414i	$-0.227084\pi$
$864$	−4.30237	−	0.618588i	−0.146370	−	0.0210448i
$865$	−16.7718	−	26.0974i	−0.570258	−	0.887339i
$866$	22.8529	+	6.71021i	0.776573	+	0.228022i
$867$	−6.05697	+	0.870861i	−0.205706	+	0.0295760i
$868$	−2.70621	+	2.12754i	−0.0918547	+	0.0722132i
$869$	−36.8279	−	23.6678i	−1.24930	−	0.802876i
$870$	1.76906	+	1.53290i	0.0599767	+	0.0519701i
$871$	−12.5652	+	3.68947i	−0.425755	+	0.125013i
$872$	7.33583	−	3.35016i	0.248423	−	0.113451i
$873$	4.21169			0.142544
$874$	23.4551	+	17.2536i	0.793380	+	0.583612i
$875$	31.2353	+	1.49257i	1.05594	+	0.0504580i
$876$	1.60170	+	3.50723i	0.0541163	+	0.118498i
$877$	11.9837	−	3.51873i	0.404661	−	0.118819i	−0.0730671	−	0.997327i	$-0.523279\pi$
$877$	11.9837	−	3.51873i	0.404661	−	0.118819i	0.477728	+	0.878508i	$0.341461\pi$
$878$	−9.94427	−	8.61676i	−0.335603	−	0.290802i
$879$	12.6081	−	19.6185i	0.425259	−	0.661716i
$880$	7.59201	−	6.57851i	0.255927	−	0.221762i
$881$	−4.59447	−	31.9552i	−0.154792	−	1.07660i	−0.908046	−	0.418870i	$-0.862426\pi$
$881$	−4.59447	−	31.9552i	−0.154792	−	1.07660i	0.753254	−	0.657729i	$-0.228483\pi$
$882$	−15.1828	−	6.08351i	−0.511231	−	0.204842i
$883$	9.48305	−	6.09439i	0.319130	−	0.205093i	−0.371261	−	0.928528i	$-0.621075\pi$
$883$	9.48305	−	6.09439i	0.319130	−	0.205093i	0.690392	+	0.723436i	$0.257438\pi$
$884$	10.3967	+	1.49482i	0.349679	+	0.0502762i
$885$	5.52525	−	12.0986i	0.185729	−	0.406690i
$886$	7.86017	−	17.2114i	0.264068	−	0.578228i
$887$	−13.7889	−	1.98254i	−0.462984	−	0.0665671i	−0.0931241	−	0.995655i	$-0.529685\pi$
$887$	−13.7889	−	1.98254i	−0.462984	−	0.0665671i	−0.369860	+	0.929087i	$0.620594\pi$
$888$	−3.53245	+	2.27017i	−0.118541	+	0.0761818i
$889$	−16.1504	−	5.59238i	−0.541666	−	0.187562i
$890$	3.50370	+	24.3688i	0.117444	+	0.816843i
$891$	−12.7016	+	11.0060i	−0.425520	+	0.368715i
$892$	−2.00180	+	3.11487i	−0.0670254	+	0.104293i
$893$	44.6032	+	38.6489i	1.49259	+	1.29334i
$894$	2.70385	−	0.793921i	0.0904302	−	0.0265527i
$895$	1.72542	+	3.77814i	0.0576744	+	0.126289i
$896$	2.64274	+	0.126282i	0.0882876	+	0.00421880i
$897$	−2.72238	+	13.0394i	−0.0908976	+	0.435374i
$898$	−25.6812			−0.856994
$899$	1.64015	−	0.749032i	0.0547021	−	0.0249816i
$900$	1.56782	−	0.460354i	0.0522607	−	0.0153451i
$901$	20.5911	+	17.8423i	0.685991	+	0.594414i
$902$	13.4840	+	8.66566i	0.448969	+	0.288535i
$903$	14.0853	+	17.9164i	0.468731	+	0.596222i
$904$	10.6169	−	1.52648i	0.353114	−	0.0507701i
$905$	−10.9623	−	3.21883i	−0.364400	−	0.106997i
$906$	−5.43735	−	8.46068i	−0.180644	−	0.281087i
$907$	−57.1384	−	8.21526i	−1.89725	−	0.272783i	−0.907994	−	0.418984i	$-0.862386\pi$
$907$	−57.1384	−	8.21526i	−1.89725	−	0.272783i	−0.989255	+	0.146201i	$0.953296\pi$
$908$	8.35729	−	18.2999i	0.277346	−	0.607304i
$909$	11.4872	+	5.24602i	0.381006	+	0.174000i
$910$	18.3721	+	3.54376i	0.609030	+	0.117475i
$911$	−5.16257	−	8.03312i	−0.171044	−	0.266149i	0.745140	−	0.666908i	$-0.232383\pi$
$911$	−5.16257	−	8.03312i	−0.171044	−	0.266149i	−0.916183	+	0.400759i	$0.868746\pi$
$912$	−1.39320	+	4.74480i	−0.0461335	+	0.157116i
$913$	−57.1089	+	8.21101i	−1.89003	+	0.271745i
$914$	−20.0872	+	17.4057i	−0.664427	+	0.575729i
$915$	−2.25337	+	3.50631i	−0.0744941	+	0.115915i
$916$	14.6501	−	16.9071i	0.484053	−	0.558627i
$917$	−11.9063	−	49.1102i	−0.393180	−	1.62176i
$918$	12.1782	−	5.56158i	0.401939	−	0.183560i
$919$			8.10323i			0.267301i	0.991029	+	0.133650i	$0.0426699\pi$
$919$			8.10323i			0.267301i	−0.991029	+	0.133650i	$0.957330\pi$
$920$	3.55357	+	9.28913i	0.117158	+	0.306254i
$921$	25.2369			0.831584
$922$	36.3355	−	16.5938i	1.19664	−	0.546489i
$923$	−0.886230	−	3.01822i	−0.0291706	−	0.0993460i
$924$	−7.20463	+	7.55375i	−0.237015	+	0.248500i
$925$	1.94913	−	3.03291i	0.0640870	−	0.0997214i
$926$	9.24610	+	10.6706i	0.303846	+	0.350657i
$927$	−6.65585	−	46.2925i	−0.218607	−	1.52044i
$928$	−1.32969	−	0.390432i	−0.0436492	−	0.0128166i
$929$	−21.0796	−	32.8005i	−0.691599	−	1.07615i	−0.992470	−	0.122484i	$-0.960914\pi$
$929$	−21.0796	−	32.8005i	−0.691599	−	1.07615i	0.300871	−	0.953665i	$-0.402722\pi$
$930$	0.312763	−	2.17531i	0.0102559	−	0.0713313i
$931$	−21.2609	+	36.7997i	−0.696798	+	1.20606i
$932$	−10.3153	+	22.5874i	−0.337890	+	0.739875i
$933$	−0.165972	+	1.15436i	−0.00543368	+	0.0377920i
$934$	35.6016	−	22.8798i	1.16492	−	0.748649i
$935$	−8.71727	+	29.6883i	−0.285085	+	0.970911i
$936$	7.88707	−	1.13399i	0.257797	−	0.0370656i
$937$	22.2892	+	25.7231i	0.728155	+	0.840336i	0.992263	−	0.124157i	$-0.0396227\pi$
$937$	22.2892	+	25.7231i	0.728155	+	0.840336i	−0.264107	+	0.964493i	$0.585077\pi$
$938$	5.89472	−	8.27538i	0.192469	−	0.270201i
$939$	−15.9445	−	13.8160i	−0.520331	−	0.450869i
$940$	5.67943	+	19.3423i	0.185242	+	0.630878i
$941$	1.40511	+	3.07676i	0.0458053	+	0.100300i	0.931151	−	0.364633i	$-0.118806\pi$
$941$	1.40511	+	3.07676i	0.0458053	+	0.100300i	−0.885346	+	0.464933i	$0.846078\pi$
$942$		−	18.7074i		−	0.609519i
$943$	−12.6236	+	9.61595i	−0.411082	+	0.313138i
$944$			7.87434i			0.256288i
$945$	22.1419	−	8.86048i	0.720277	−	0.288231i
$946$	−49.1547	+	14.4331i	−1.59816	+	0.469261i
$947$	30.0706	−	34.7034i	0.977165	−	1.12771i	−0.0146334	−	0.999893i	$-0.504658\pi$
$947$	30.0706	−	34.7034i	0.977165	−	1.12771i	0.991798	−	0.127815i	$-0.0407964\pi$
$948$	6.19232	+	3.97956i	0.201117	+	0.129250i
$949$	−10.5714	−	12.2001i	−0.343163	−	0.396032i
$950$	−0.604241	−	4.20259i	−0.0196042	−	0.136350i
$951$	3.46558	−	11.8027i	0.112379	−	0.382728i
$952$	−7.05800	+	4.07354i	−0.228751	+	0.132024i
$953$	−39.2901	−	5.64906i	−1.27273	−	0.182991i	−0.527361	−	0.849642i	$-0.676818\pi$
$953$	−39.2901	−	5.64906i	−1.27273	−	0.182991i	−0.745371	+	0.666650i	$0.767727\pi$
$954$	18.8013	+	8.58628i	0.608716	+	0.277991i
$955$	39.9080	+	18.2254i	1.29139	+	0.589759i
$956$	−1.29511	+	9.00767i	−0.0418868	+	0.291329i
$957$	4.59972	−	2.95606i	0.148688	−	0.0955559i
$958$	−16.9335	−	4.97213i	−0.547097	−	0.160642i
$959$	−14.9716	+	1.42737i	−0.483458	+	0.0460922i
$960$	−1.27654	+	1.10613i	−0.0412000	+	0.0357000i
$961$	24.6547	+	15.8446i	0.795314	+	0.511117i
$962$	11.5129	−	13.2866i	0.371191	−	0.428377i
$963$	−9.29647	−	31.6609i	−0.299575	−	1.02026i
$964$	4.24842	+	9.30274i	0.136832	+	0.299621i
$965$	−20.0075			−0.644064
$966$	−4.59203	−	9.25851i	−0.147746	−	0.297888i
$967$	−10.1834			−0.327476			−0.163738	−	0.986504i	$-0.552355\pi$
$967$	−10.1834			−0.327476			−0.163738	+	0.986504i	$0.552355\pi$
$968$	−5.17812	−	11.3385i	−0.166431	−	0.364433i
$969$	−4.29120	−	14.6145i	−0.137853	−	0.469484i
$970$	2.44788	−	2.82500i	0.0785966	−	0.0907053i
$971$	−15.5459	−	9.99073i	−0.498891	−	0.320618i	0.266882	−	0.963729i	$-0.414007\pi$
$971$	−15.5459	−	9.99073i	−0.498891	−	0.320618i	−0.765772	+	0.643112i	$0.777643\pi$
$972$	11.9905	−	10.3899i	0.384597	−	0.333255i
$973$	−35.1804	+	3.35405i	−1.12783	+	0.107526i
$974$	9.06642	+	2.66214i	0.290507	+	0.0853005i
$975$	1.63402	−	1.05012i	0.0523304	−	0.0336307i
$976$	0.351171	−	2.44245i	0.0112407	−	0.0781808i
$977$	23.0539	+	10.5284i	0.737559	+	0.336832i	0.748524	−	0.663108i	$-0.230763\pi$
$977$	23.0539	+	10.5284i	0.737559	+	0.336832i	−0.0109650	+	0.999940i	$0.503490\pi$
$978$	8.79833	+	4.01806i	0.281340	+	0.128484i
$979$	56.9212	+	8.18404i	1.81921	+	0.261563i
$980$	−12.9049	+	6.64809i	−0.412232	+	0.212366i
$981$	−5.30892	+	18.0805i	−0.169501	+	0.577266i
$982$	4.04025	+	28.1006i	0.128930	+	0.896726i
$983$	9.51798	+	10.9843i	0.303576	+	0.350346i	0.886956	−	0.461854i	$-0.152816\pi$
$983$	9.51798	+	10.9843i	0.303576	+	0.350346i	−0.583380	+	0.812199i	$0.698270\pi$
$984$	−2.26723	−	1.45706i	−0.0722768	−	0.0464495i
$985$	30.1102	−	34.7490i	0.959390	−	1.10720i
$986$	4.09558	−	1.20257i	0.130430	−	0.0382976i
$987$	−7.78254	−	19.4482i	−0.247721	−	0.619043i
$988$		−	20.7044i		−	0.658696i
$989$	3.19446	−	50.6191i	0.101578	−	1.60959i
$990$			23.4727i			0.746013i
$991$	5.01434	+	10.9799i	0.159286	+	0.348787i	0.972401	−	0.233315i	$-0.0749575\pi$
$991$	5.01434	+	10.9799i	0.159286	+	0.348787i	−0.813115	+	0.582103i	$0.802230\pi$
$992$	0.366561	+	1.24839i	0.0116383	+	0.0396365i
$993$	9.88974	+	8.56951i	0.313841	+	0.271945i
$994$	1.98779	+	1.41594i	0.0630489	+	0.0449110i
$995$	−22.0444	−	25.4406i	−0.698855	−	0.806521i
$996$	9.60241	−	1.38062i	0.304264	−	0.0437465i
$997$	−4.58981	+	15.6315i	−0.145361	+	0.495053i	−0.999696	−	0.0246697i	$-0.992147\pi$
$997$	−4.58981	+	15.6315i	−0.145361	+	0.495053i	0.854335	+	0.519723i	$0.173965\pi$
$998$	−2.40002	+	1.54240i	−0.0759712	+	0.0488237i
$999$	3.18907	−	22.1805i	0.100898	−	0.701759i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	322.2.k.a.111.3	✓	80
7.6	odd	2	inner	322.2.k.a.111.6	yes	80
23.17	odd	22	inner	322.2.k.a.293.6	yes	80
161.132	even	22	inner	322.2.k.a.293.3	yes	80

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
322.2.k.a.111.3	✓	80	1.1	even	1	trivial
322.2.k.a.111.6	yes	80	7.6	odd	2	inner
322.2.k.a.293.3	yes	80	161.132	even	22	inner
322.2.k.a.293.6	yes	80	23.17	odd	22	inner

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:	\( N \)	\(=\)	\( 322 = 2 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	322.k (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(0.415415 + 0.909632i) q^{2} +(-0.229469 - 0.781499i) q^{3} +(-0.654861 + 0.755750i) q^{4} +(-1.74460 - 1.12119i) q^{5} +(0.615551 - 0.533378i) q^{6} +(-0.251104 - 2.63381i) q^{7} +(-0.959493 - 0.281733i) q^{8} +(1.96568 - 1.26326i) q^{9} +O(q^{10})\)	\(q+(0.415415 + 0.909632i) q^{2} +(-0.229469 - 0.781499i) q^{3} +(-0.654861 + 0.755750i) q^{4} +(-1.74460 - 1.12119i) q^{5} +(0.615551 - 0.533378i) q^{6} +(-0.251104 - 2.63381i) q^{7} +(-0.959493 - 0.281733i) q^{8} +(1.96568 - 1.26326i) q^{9} +(0.295134 - 2.05270i) q^{10} +(-4.40631 - 2.01230i) q^{11} +(0.740887 + 0.338352i) q^{12} +(-3.37544 - 0.485315i) q^{13} +(2.29148 - 1.32254i) q^{14} +(-0.475875 + 1.62068i) q^{15} +(-0.142315 - 0.989821i) q^{16} +(2.01704 + 2.32778i) q^{17} +(1.96568 + 1.26326i) q^{18} +(3.97593 - 4.58847i) q^{19} +(1.98981 - 0.584260i) q^{20} +(-2.00070 + 0.800614i) q^{21} -4.84406i q^{22} +(4.50733 + 1.63828i) q^{23} +0.814491i q^{24} +(-0.290504 - 0.636115i) q^{25} +(-0.960750 - 3.27201i) q^{26} +(-3.28495 - 2.84643i) q^{27} +(2.15494 + 1.53501i) q^{28} +(-0.907523 - 1.04734i) q^{29} +(-1.67191 + 0.240384i) q^{30} +(-0.366561 + 1.24839i) q^{31} +(0.841254 - 0.540641i) q^{32} +(-0.561496 + 3.90529i) q^{33} +(-1.27952 + 2.80176i) q^{34} +(-2.51492 + 4.87648i) q^{35} +(-0.332533 + 2.31282i) q^{36} +(2.78722 + 4.33700i) q^{37} +(5.82548 + 1.71052i) q^{38} +(0.395285 + 2.74927i) q^{39} +(1.35806 + 1.56728i) q^{40} +(-1.78892 + 2.78362i) q^{41} +(-1.55938 - 1.48731i) q^{42} +(-2.97955 - 10.1474i) q^{43} +(4.40631 - 2.01230i) q^{44} -4.84567 q^{45} +(0.382184 + 4.78058i) q^{46} +9.72072i q^{47} +(-0.740887 + 0.338352i) q^{48} +(-6.87389 + 1.32272i) q^{49} +(0.457951 - 0.528503i) q^{50} +(1.35631 - 2.11046i) q^{51} +(2.57722 - 2.23317i) q^{52} +(8.75578 - 1.25889i) q^{53} +(1.22458 - 4.17055i) q^{54} +(5.43110 + 8.45095i) q^{55} +(-0.501098 + 2.59786i) q^{56} +(-4.49824 - 2.05428i) q^{57} +(0.575693 - 1.26059i) q^{58} +(-7.79419 - 1.12064i) q^{59} +(-0.913197 - 1.42096i) q^{60} +(2.36761 + 0.695193i) q^{61} +(-1.28785 + 0.185165i) q^{62} +(-3.82078 - 4.86001i) q^{63} +(0.841254 + 0.540641i) q^{64} +(5.34466 + 4.63118i) q^{65} +(-3.78563 + 1.11156i) q^{66} +(3.49316 - 1.59527i) q^{67} -3.08010 q^{68} +(0.246020 - 3.89841i) q^{69} +(-5.48053 - 0.261886i) q^{70} +(0.383194 + 0.839077i) q^{71} +(-2.24196 + 0.658297i) q^{72} +(3.57758 + 3.09999i) q^{73} +(-2.78722 + 4.33700i) q^{74} +(-0.430461 + 0.372997i) q^{75} +(0.864053 + 6.00962i) q^{76} +(-4.19356 + 12.1107i) q^{77} +(-2.33661 + 1.50165i) q^{78} +(8.94534 + 1.28615i) q^{79} +(-0.861492 + 1.88640i) q^{80} +(1.44130 - 3.15600i) q^{81} +(-3.27522 - 0.470905i) q^{82} +(10.0199 - 6.43940i) q^{83} +(0.705115 - 2.03632i) q^{84} +(-0.909042 - 6.32253i) q^{85} +(7.99266 - 6.92568i) q^{86} +(-0.610244 + 0.949559i) q^{87} +(3.66090 + 3.17219i) q^{88} +(-11.3907 + 3.34461i) q^{89} +(-2.01297 - 4.40778i) q^{90} +(-0.430642 + 9.01213i) q^{91} +(-4.18980 + 2.33357i) q^{92} +1.05973 q^{93} +(-8.84228 + 4.03813i) q^{94} +(-12.0809 + 3.54729i) q^{95} +(-0.615551 - 0.533378i) q^{96} +(1.51635 + 0.974497i) q^{97} +(-4.05870 - 5.70324i) q^{98} +(-11.2034 + 1.61081i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 80 q - 8 q^{2} - 8 q^{4} - 11 q^{7} - 8 q^{8} - 6 q^{9}+O(q^{10}) \) 80 * q - 8 * q^2 - 8 * q^4 - 11 * q^7 - 8 * q^8 - 6 * q^9	\( 80 q - 8 q^{2} - 8 q^{4} - 11 q^{7} - 8 q^{8} - 6 q^{9} + 11 q^{14} - 8 q^{16} - 6 q^{18} - 33 q^{21} + 18 q^{23} - 58 q^{25} - 11 q^{28} + 16 q^{29} + 22 q^{30} - 8 q^{32} + 47 q^{35} + 16 q^{36} - 22 q^{37} - 30 q^{39} - 22 q^{42} + 44 q^{43} - 4 q^{46} + 17 q^{49} + 8 q^{50} - 88 q^{51} + 44 q^{53} + 11 q^{56} - 22 q^{57} - 28 q^{58} + 121 q^{63} - 8 q^{64} - 154 q^{65} + 58 q^{70} + 42 q^{71} - 28 q^{72} + 22 q^{74} + 38 q^{77} + 58 q^{78} - 88 q^{79} - 26 q^{81} - 11 q^{84} + 26 q^{85} - 132 q^{86} + 22 q^{88} - 4 q^{92} + 152 q^{93} - 68 q^{95} - 27 q^{98} - 44 q^{99}+O(q^{100}) \) 80 * q - 8 * q^2 - 8 * q^4 - 11 * q^7 - 8 * q^8 - 6 * q^9 + 11 * q^14 - 8 * q^16 - 6 * q^18 - 33 * q^21 + 18 * q^23 - 58 * q^25 - 11 * q^28 + 16 * q^29 + 22 * q^30 - 8 * q^32 + 47 * q^35 + 16 * q^36 - 22 * q^37 - 30 * q^39 - 22 * q^42 + 44 * q^43 - 4 * q^46 + 17 * q^49 + 8 * q^50 - 88 * q^51 + 44 * q^53 + 11 * q^56 - 22 * q^57 - 28 * q^58 + 121 * q^63 - 8 * q^64 - 154 * q^65 + 58 * q^70 + 42 * q^71 - 28 * q^72 + 22 * q^74 + 38 * q^77 + 58 * q^78 - 88 * q^79 - 26 * q^81 - 11 * q^84 + 26 * q^85 - 132 * q^86 + 22 * q^88 - 4 * q^92 + 152 * q^93 - 68 * q^95 - 27 * q^98 - 44 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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