LMFDB - Embedded newform 350.2.x.a.283.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [350,2,Mod(3,350)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(350, base_ring=CyclotomicField(60))

chi = DirichletCharacter(H, H._module([21, 10]))

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

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

chi := DirichletCharacter("350.3");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 350 = 2 \cdot 5^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	350.x (of order $60$, degree $16$, 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:	$2.79476407074$
Analytic rank:	$0$
Dimension:	$320$
Relative dimension:	$20$ over $\Q(\zeta_{60})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label			283.4
Character	$\chi$	$=$	350.283
Dual form			350.2.x.a.47.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.0523360 - 0.998630i) q^{2} +(-1.20831 - 0.978473i) q^{3} +(-0.994522 + 0.104528i) q^{4} +(1.66723 + 1.49009i) q^{5} +(-0.913894 + 1.25787i) q^{6} +(2.63837 + 0.197500i) q^{7} +(0.156434 + 0.987688i) q^{8} +(-0.121123 - 0.569838i) q^{9} +(1.40079 - 1.74293i) q^{10} +(2.76008 + 0.586674i) q^{11} +(1.30397 + 0.846810i) q^{12} +(1.70761 + 3.35137i) q^{13} +(0.0591474 - 2.64509i) q^{14} +(-0.556523 - 3.43183i) q^{15} +(0.978148 - 0.207912i) q^{16} +(-3.26505 - 1.25334i) q^{17} +(-0.562718 + 0.150780i) q^{18} +(0.807278 - 7.68074i) q^{19} +(-1.81385 - 1.30765i) q^{20} +(-2.99473 - 2.82022i) q^{21} +(0.441418 - 2.78700i) q^{22} +(7.53286 - 0.394781i) q^{23} +(0.777405 - 1.34650i) q^{24} +(0.559286 + 4.96862i) q^{25} +(3.25741 - 1.88066i) q^{26} +(-2.52882 + 4.96309i) q^{27} +(-2.64456 + 0.0793670i) q^{28} +(-5.39724 - 7.42866i) q^{29} +(-3.39800 + 0.735368i) q^{30} +(0.340481 + 0.764732i) q^{31} +(-0.258819 - 0.965926i) q^{32} +(-2.76100 - 3.40955i) q^{33} +(-1.08074 + 3.32617i) q^{34} +(4.10447 + 4.26067i) q^{35} +(0.180024 + 0.554055i) q^{36} +(1.57469 - 2.42480i) q^{37} +(-7.71246 - 0.404193i) q^{38} +(1.21590 - 5.72035i) q^{39} +(-1.21093 + 1.87980i) q^{40} +(-4.09950 - 1.33201i) q^{41} +(-2.65962 + 3.13822i) q^{42} +(-2.64576 - 2.64576i) q^{43} +(-2.80629 - 0.294953i) q^{44} +(0.647168 - 1.13053i) q^{45} +(-0.788479 - 7.50188i) q^{46} +(3.90576 + 10.1749i) q^{47} +(-1.38535 - 0.705869i) q^{48} +(6.92199 + 1.04215i) q^{49} +(4.93254 - 0.818557i) q^{50} +(2.71885 + 4.70919i) q^{51} +(-2.04857 - 3.15452i) q^{52} +(-2.95659 + 3.65109i) q^{53} +(5.08864 + 2.26561i) q^{54} +(3.72749 + 5.09088i) q^{55} +(0.217664 + 2.63678i) q^{56} +(-8.49084 + 8.49084i) q^{57} +(-7.13601 + 5.77862i) q^{58} +(5.02560 + 5.58149i) q^{59} +(0.912198 + 3.35486i) q^{60} +(8.80904 + 7.93170i) q^{61} +(0.745865 - 0.380037i) q^{62} +(-0.207024 - 1.52736i) q^{63} +(-0.951057 + 0.309017i) q^{64} +(-2.14686 + 8.13197i) q^{65} +(-3.26038 + 2.93566i) q^{66} +(0.730643 - 1.90339i) q^{67} +(3.37817 + 0.905179i) q^{68} +(-9.48834 - 6.89368i) q^{69} +(4.04002 - 4.32183i) q^{70} +(0.613424 - 0.445679i) q^{71} +(0.543874 - 0.208774i) q^{72} +(-4.19765 + 2.72599i) q^{73} +(-2.50389 - 1.44562i) q^{74} +(4.18587 - 6.55090i) q^{75} +7.72304i q^{76} +(7.16625 + 2.09298i) q^{77} +(-5.77615 - 0.914852i) q^{78} +(6.27270 - 14.0887i) q^{79} +(1.94060 + 1.11089i) q^{80} +(6.31526 - 2.81173i) q^{81} +(-1.11563 + 4.16359i) q^{82} +(-8.06647 + 1.27760i) q^{83} +(3.27312 + 2.49173i) q^{84} +(-3.57600 - 6.95480i) q^{85} +(-2.50367 + 2.78060i) q^{86} +(-0.747188 + 14.2572i) q^{87} +(-0.147679 + 2.81788i) q^{88} +(-9.82362 + 10.9102i) q^{89} +(-1.16285 - 0.587114i) q^{90} +(3.84341 + 9.17940i) q^{91} +(-7.45033 + 1.18002i) q^{92} +(0.336862 - 1.25719i) q^{93} +(9.95650 - 4.43292i) q^{94} +(12.7909 - 11.6026i) q^{95} +(-0.632398 + 1.42039i) q^{96} +(-1.99762 - 0.316392i) q^{97} +(0.678457 - 6.96704i) q^{98} -1.64386i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 320 q + 12 q^{5} - 8 q^{7} + 12 q^{10} - 16 q^{15} - 40 q^{16} + 36 q^{17} + 8 q^{18} - 72 q^{22} + 44 q^{23} - 12 q^{25} - 24 q^{28} - 80 q^{29} + 20 q^{30} - 48 q^{33} - 28 q^{35} + 80 q^{36} - 4 q^{37}+ \cdots - 40 q^{98}+O(q^{100}) $ 320 * q + 12 * q^5 - 8 * q^7 + 12 * q^10 - 16 * q^15 - 40 * q^16 + 36 * q^17 + 8 * q^18 - 72 * q^22 + 44 * q^23 - 12 * q^25 - 24 * q^28 - 80 * q^29 + 20 * q^30 - 48 * q^33 - 28 * q^35 + 80 * q^36 - 4 * q^37 - 24 * q^38 - 40 * q^39 - 36 * q^42 + 88 * q^43 - 228 * q^45 - 12 * q^47 + 32 * q^50 - 52 * q^53 + 152 * q^57 + 32 * q^58 - 120 * q^59 - 8 * q^60 + 136 * q^63 + 8 * q^65 - 32 * q^67 - 144 * q^68 + 92 * q^70 + 8 * q^72 + 12 * q^73 - 432 * q^75 + 144 * q^77 - 16 * q^78 + 12 * q^80 - 40 * q^81 - 192 * q^82 + 60 * q^84 - 24 * q^85 + 24 * q^87 + 4 * q^88 - 300 * q^89 - 8 * q^92 - 68 * q^93 + 20 * q^95 - 40 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/350\mathbb{Z}\right)^\times$.

$n$	$101$	$127$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{3}{20}\right)$

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 $

$2$	−0.0523360	−	0.998630i	−0.0370071	−	0.706138i
$2$	−0.0523360	−	0.998630i	−0.0370071	−	0.706138i
$3$	−1.20831	−	0.978473i	−0.697620	−	0.564922i	0.213560	−	0.976930i	$-0.431494\pi$
$3$	−1.20831	−	0.978473i	−0.697620	−	0.564922i	−0.911180	+	0.412008i	$0.864827\pi$
$4$	−0.994522	+	0.104528i	−0.497261	+	0.0522642i
$5$	1.66723	+	1.49009i	0.745606	+	0.666387i
$5$	1.66723	+	1.49009i	0.745606	+	0.666387i
$6$	−0.913894	+	1.25787i	−0.373096	+	0.513522i
$7$	2.63837	+	0.197500i	0.997210	+	0.0746479i
$7$	2.63837	+	0.197500i	0.997210	+	0.0746479i
$8$	0.156434	+	0.987688i	0.0553079	+	0.349201i
$9$	−0.121123	−	0.569838i	−0.0403743	−	0.189946i
$10$	1.40079	−	1.74293i	0.442968	−	0.551162i
$11$	2.76008	+	0.586674i	0.832196	+	0.176889i	0.604260	−	0.796787i	$-0.293469\pi$
$11$	2.76008	+	0.586674i	0.832196	+	0.176889i	0.227936	+	0.973676i	$0.426802\pi$
$12$	1.30397	+	0.846810i	0.376424	+	0.244453i
$13$	1.70761	+	3.35137i	0.473605	+	0.929503i	0.996999	+	0.0774118i	$0.0246656\pi$
$13$	1.70761	+	3.35137i	0.473605	+	0.929503i	−0.523394	+	0.852091i	$0.675334\pi$
$14$	0.0591474	−	2.64509i	0.0158078	−	0.706930i
$15$	−0.556523	−	3.43183i	−0.143694	−	0.886094i
$16$	0.978148	−	0.207912i	0.244537	−	0.0519779i
$17$	−3.26505	−	1.25334i	−0.791891	−	0.303978i	−0.0714045	−	0.997447i	$-0.522748\pi$
$17$	−3.26505	−	1.25334i	−0.791891	−	0.303978i	−0.720486	+	0.693469i	$0.756081\pi$
$18$	−0.562718	+	0.150780i	−0.132634	+	0.0355391i
$19$	0.807278	−	7.68074i	0.185202	−	1.76208i	−0.368745	−	0.929530i	$-0.620213\pi$
$19$	0.807278	−	7.68074i	0.185202	−	1.76208i	0.553948	−	0.832552i	$-0.313121\pi$
$20$	−1.81385	−	1.30765i	−0.405589	−	0.292400i
$21$	−2.99473	−	2.82022i	−0.653504	−	0.615421i
$22$	0.441418	−	2.78700i	0.0941107	−	0.594191i
$23$	7.53286	−	0.394781i	1.57071	−	0.0823174i	0.753029	−	0.657988i	$-0.228592\pi$
$23$	7.53286	−	0.394781i	1.57071	−	0.0823174i	0.817682	+	0.575670i	$0.195259\pi$
$24$	0.777405	−	1.34650i	0.158687	−	0.274854i
$25$	0.559286	+	4.96862i	0.111857	+	0.993724i
$26$	3.25741	−	1.88066i	0.638830	−	0.368829i
$27$	−2.52882	+	4.96309i	−0.486672	+	0.955148i
$28$	−2.64456	+	0.0793670i	−0.499775	+	0.0149989i
$29$	−5.39724	−	7.42866i	−1.00224	−	1.37947i	−0.923940	−	0.382537i	$-0.875050\pi$
$29$	−5.39724	−	7.42866i	−1.00224	−	1.37947i	−0.0783014	−	0.996930i	$-0.524950\pi$
$30$	−3.39800	+	0.735368i	−0.620387	+	0.134259i
$31$	0.340481	+	0.764732i	0.0611521	+	0.137350i	0.941537	−	0.336911i	$-0.109382\pi$
$31$	0.340481	+	0.764732i	0.0611521	+	0.137350i	−0.880384	+	0.474261i	$0.842715\pi$
$32$	−0.258819	−	0.965926i	−0.0457532	−	0.170753i
$33$	−2.76100	−	3.40955i	−0.480629	−	0.593527i
$34$	−1.08074	+	3.32617i	−0.185345	+	0.570433i
$35$	4.10447	+	4.26067i	0.693782	+	0.720185i
$36$	0.180024	+	0.554055i	0.0300039	+	0.0923426i
$37$	1.57469	−	2.42480i	0.258877	−	0.398635i	−0.685203	−	0.728352i	$-0.740287\pi$
$37$	1.57469	−	2.42480i	0.258877	−	0.398635i	0.944080	+	0.329717i	$0.106953\pi$
$38$	−7.71246	−	0.404193i	−1.25113	−	0.0655688i
$39$	1.21590	−	5.72035i	0.194700	−	0.915990i
$40$	−1.21093	+	1.87980i	−0.191465	+	0.297223i
$41$	−4.09950	−	1.33201i	−0.640234	−	0.208025i	−0.0291308	−	0.999576i	$-0.509274\pi$
$41$	−4.09950	−	1.33201i	−0.640234	−	0.208025i	−0.611103	+	0.791551i	$0.709274\pi$
$42$	−2.65962	+	3.13822i	−0.410388	+	0.484239i
$43$	−2.64576	−	2.64576i	−0.403475	−	0.403475i	0.475981	−	0.879456i	$-0.342093\pi$
$43$	−2.64576	−	2.64576i	−0.403475	−	0.403475i	−0.879456	+	0.475981i	$0.842093\pi$
$44$	−2.80629	−	0.294953i	−0.423064	−	0.0444658i
$45$	0.647168	−	1.13053i	0.0964742	−	0.168530i
$46$	−0.788479	−	7.50188i	−0.116255	−	1.10609i
$47$	3.90576	+	10.1749i	0.569714	+	1.48415i	0.851332	+	0.524628i	$0.175796\pi$
$47$	3.90576	+	10.1749i	0.569714	+	1.48415i	−0.281618	+	0.959527i	$0.590871\pi$
$48$	−1.38535	−	0.705869i	−0.199957	−	0.101883i
$49$	6.92199	+	1.04215i	0.988855	+	0.148879i
$50$	4.93254	−	0.818557i	0.697567	−	0.115761i
$51$	2.71885	+	4.70919i	0.380715	+	0.659418i
$52$	−2.04857	−	3.15452i	−0.284085	−	0.437453i
$53$	−2.95659	+	3.65109i	−0.406119	+	0.501516i	−0.938639	−	0.344902i	$-0.887912\pi$
$53$	−2.95659	+	3.65109i	−0.406119	+	0.501516i	0.532519	+	0.846418i	$0.321245\pi$
$54$	5.08864	+	2.26561i	0.692476	+	0.308310i
$55$	3.72749	+	5.09088i	0.502614	+	0.686454i
$56$	0.217664	+	2.63678i	0.0290865	+	0.352355i
$57$	−8.49084	+	8.49084i	−1.12464	+	1.12464i
$58$	−7.13601	+	5.77862i	−0.937004	+	0.758771i
$59$	5.02560	+	5.58149i	0.654277	+	0.726648i	0.975413	−	0.220385i	$-0.0707314\pi$
$59$	5.02560	+	5.58149i	0.654277	+	0.726648i	−0.321136	+	0.947033i	$0.604065\pi$
$60$	0.912198	+	3.35486i	0.117764	+	0.433110i
$61$	8.80904	+	7.93170i	1.12788	+	1.01555i	0.999717	+	0.0237971i	$0.00757557\pi$
$61$	8.80904	+	7.93170i	1.12788	+	1.01555i	0.128166	+	0.991753i	$0.459091\pi$
$62$	0.745865	−	0.380037i	0.0947249	−	0.0482647i
$63$	−0.207024	−	1.52736i	−0.0260826	−	0.192430i
$64$	−0.951057	+	0.309017i	−0.118882	+	0.0386271i
$65$	−2.14686	+	8.13197i	−0.266285	+	1.00865i
$66$	−3.26038	+	2.93566i	−0.401325	+	0.361355i
$67$	0.730643	−	1.90339i	0.0892623	−	0.232536i	−0.881681	−	0.471846i	$-0.843588\pi$
$67$	0.730643	−	1.90339i	0.0892623	−	0.232536i	0.970943	+	0.239310i	$0.0769211\pi$
$68$	3.37817	+	0.905179i	0.409664	+	0.109769i
$69$	−9.48834	−	6.89368i	−1.14226	−	0.829902i
$70$	4.04002	−	4.32183i	0.482875	−	0.516557i
$71$	0.613424	−	0.445679i	0.0728000	−	0.0528923i	−0.550790	−	0.834644i	$-0.685673\pi$
$71$	0.613424	−	0.445679i	0.0728000	−	0.0528923i	0.623590	+	0.781752i	$0.285673\pi$
$72$	0.543874	−	0.208774i	0.0640962	−	0.0246042i
$73$	−4.19765	+	2.72599i	−0.491298	+	0.319053i	−0.766401	−	0.642362i	$-0.777955\pi$
$73$	−4.19765	+	2.72599i	−0.491298	+	0.319053i	0.275103	+	0.961415i	$0.411288\pi$
$74$	−2.50389	−	1.44562i	−0.291072	−	0.168050i
$75$	4.18587	−	6.55090i	0.483343	−	0.756433i
$76$			7.72304i			0.885894i
$77$	7.16625	+	2.09298i	0.816670	+	0.238517i
$78$	−5.77615	−	0.914852i	−0.654020	−	0.103587i
$79$	6.27270	−	14.0887i	0.705734	−	1.58510i	−0.101475	−	0.994838i	$-0.532356\pi$
$79$	6.27270	−	14.0887i	0.705734	−	1.58510i	0.807209	−	0.590266i	$-0.200977\pi$
$80$	1.94060	+	1.11089i	0.216966	+	0.124201i
$81$	6.31526	−	2.81173i	0.701695	−	0.312415i
$82$	−1.11563	+	4.16359i	−0.123201	+	0.459792i
$83$	−8.06647	+	1.27760i	−0.885410	+	0.140235i	−0.582545	−	0.812798i	$-0.697943\pi$
$83$	−8.06647	+	1.27760i	−0.885410	+	0.140235i	−0.302865	+	0.953034i	$0.597943\pi$
$84$	3.27312	+	2.49173i	0.357126	+	0.271870i
$85$	−3.57600	−	6.95480i	−0.387872	−	0.754354i
$86$	−2.50367	+	2.78060i	−0.269977	+	0.299840i
$87$	−0.747188	+	14.2572i	−0.0801070	+	1.52853i
$88$	−0.147679	+	2.81788i	−0.0157426	+	0.300387i
$89$	−9.82362	+	10.9102i	−1.04130	+	1.15648i	−0.0538518	+	0.998549i	$0.517150\pi$
$89$	−9.82362	+	10.9102i	−1.04130	+	1.15648i	−0.987450	+	0.157934i	$0.949517\pi$
$90$	−1.16285	−	0.587114i	−0.122575	−	0.0618873i
$91$	3.84341	+	9.17940i	0.402898	+	0.962263i
$92$	−7.45033	+	1.18002i	−0.776751	+	0.123025i
$93$	0.336862	−	1.25719i	0.0349310	−	0.130364i
$94$	9.95650	−	4.43292i	1.02693	−	0.457221i
$95$	12.7909	−	11.6026i	1.31232	−	1.19040i
$96$	−0.632398	+	1.42039i	−0.0645438	+	0.144968i
$97$	−1.99762	−	0.316392i	−0.202827	−	0.0321247i	0.0541940	−	0.998530i	$-0.482741\pi$
$97$	−1.99762	−	0.316392i	−0.202827	−	0.0321247i	−0.257021	+	0.966406i	$0.582741\pi$
$98$	0.678457	−	6.96704i	0.0685345	−	0.703778i
$99$		−	1.64386i		−	0.165214i
$100$	−1.07558	−	4.88294i	−0.107558	−	0.488294i
$101$	−8.61531	−	4.97405i	−0.857256	−	0.494937i	0.00583652	−	0.999983i	$-0.498142\pi$
$101$	−8.61531	−	4.97405i	−0.857256	−	0.494937i	−0.863092	+	0.505046i	$0.831476\pi$
$102$	4.56044	−	2.96158i	0.451551	−	0.293240i
$103$	−0.302865	+	0.116259i	−0.0298422	+	0.0114553i	−0.373243	−	0.927734i	$-0.621754\pi$
$103$	−0.302865	+	0.116259i	−0.0298422	+	0.0114553i	0.343401	+	0.939189i	$0.388421\pi$
$104$	−3.04298	+	2.21085i	−0.298389	+	0.216792i
$105$	−0.790528	−	9.16434i	−0.0771476	−	0.894348i
$106$	3.80082	+	2.76146i	0.369168	+	0.268217i
$107$	−11.8860	−	3.18485i	−1.14907	−	0.307891i	−0.366475	−	0.930428i	$-0.619436\pi$
$107$	−11.8860	−	3.18485i	−1.14907	−	0.307891i	−0.782591	+	0.622536i	$0.786102\pi$
$108$	1.99618	−	5.20024i	0.192083	−	0.500393i
$109$	−8.40888	+	7.57139i	−0.805425	+	0.725208i	−0.965077	−	0.261965i	$-0.915629\pi$
$109$	−8.40888	+	7.57139i	−0.805425	+	0.725208i	0.159652	+	0.987173i	$0.448963\pi$
$110$	4.88882	−	3.98882i	0.466131	−	0.380319i
$111$	−4.27532	+	1.38914i	−0.405795	+	0.131851i
$112$	2.62178	−	0.355364i	0.247735	−	0.0335787i
$113$	−7.24993	+	3.69403i	−0.682016	+	0.347505i	−0.760433	−	0.649416i	$-0.775013\pi$
$113$	−7.24993	+	3.69403i	−0.682016	+	0.347505i	0.0784170	+	0.996921i	$0.475013\pi$
$114$	8.92358	+	8.03483i	0.835770	+	0.752531i
$115$	13.1472	+	10.5664i	1.22599	+	0.985324i
$116$	6.14417	+	6.82380i	0.570472	+	0.633574i
$117$	1.70291	−	1.37899i	0.157434	−	0.127487i
$118$	5.31082	−	5.31082i	0.488901	−	0.488901i
$119$	−8.36688	−	3.95161i	−0.766990	−	0.362243i
$120$	3.30252	−	1.08653i	0.301477	−	0.0991859i
$121$	−2.77513	−	1.23557i	−0.252284	−	0.112324i
$122$	7.45980	−	9.21208i	0.675378	−	0.834023i
$123$	3.65015	+	5.62073i	0.329123	+	0.506804i
$124$	−0.418552	−	0.724953i	−0.0375871	−	0.0651027i
$125$	−6.47122	+	9.11720i	−0.578803	+	0.815467i
$126$	−1.51444	+	0.286676i	−0.134917	+	0.0255391i
$127$	0.192781	+	0.0982268i	0.0171065	+	0.00871622i	0.462523	−	0.886607i	$-0.346944\pi$
$127$	0.192781	+	0.0982268i	0.0171065	+	0.00871622i	−0.445416	+	0.895324i	$0.646944\pi$
$128$	0.358368	+	0.933580i	0.0316756	+	0.0825176i
$129$	0.608104	+	5.78572i	0.0535405	+	0.509404i
$130$	8.23319	+	1.71832i	0.722098	+	0.150707i
$131$	−18.7402	−	1.96968i	−1.63734	−	0.172092i	−0.759322	−	0.650715i	$-0.774469\pi$
$131$	−18.7402	−	1.96968i	−1.63734	−	0.172092i	−0.878020	+	0.478624i	$0.841136\pi$
$132$	3.10227	+	3.10227i	0.270018	+	0.270018i
$133$	3.64684	−	20.1052i	0.316221	−	1.74334i
$134$	−1.93902	−	0.630026i	−0.167506	−	0.0544260i
$135$	−11.6116	+	4.50644i	−0.999364	+	0.387852i
$136$	0.727138	−	3.42092i	0.0623516	−	0.293341i
$137$	0.743037	+	0.0389409i	0.0634819	+	0.00332695i	0.0840505	−	0.996461i	$-0.473214\pi$
$137$	0.743037	+	0.0389409i	0.0634819	+	0.00332695i	−0.0205685	+	0.999788i	$0.506548\pi$
$138$	−6.38766	+	9.83613i	−0.543753	+	0.837307i
$139$	−0.528814	−	1.62752i	−0.0448534	−	0.138045i	0.926122	−	0.377224i	$-0.123121\pi$
$139$	−0.528814	−	1.62752i	−0.0448534	−	0.138045i	−0.970975	+	0.239180i	$0.923121\pi$
$140$	−4.52734	−	3.80830i	−0.382630	−	0.321860i
$141$	5.23644	−	16.1161i	0.440987	−	1.35722i
$142$	−0.477172	−	0.589258i	−0.0400434	−	0.0494495i
$143$	2.74698	+	10.2519i	0.229714	+	0.857304i
$144$	−0.236952	−	0.532203i	−0.0197460	−	0.0443502i
$145$	2.07093	−	20.4276i	0.171981	−	1.69642i
$146$	2.94194	+	4.04923i	0.243477	+	0.335117i
$147$	−7.34421	−	8.03223i	−0.605740	−	0.662487i
$148$	−1.31260	+	2.57612i	−0.107895	+	0.211756i
$149$	−5.50102	+	3.17601i	−0.450661	+	0.260189i	−0.708109	−	0.706103i	$-0.750452\pi$
$149$	−5.50102	+	3.17601i	−0.450661	+	0.260189i	0.257448	+	0.966292i	$0.417118\pi$
$150$	−6.76099	−	3.83729i	−0.552033	−	0.313313i
$151$	4.91497	−	8.51297i	0.399974	−	0.692776i	−0.593748	−	0.804651i	$-0.702352\pi$
$151$	4.91497	−	8.51297i	0.399974	−	0.692776i	0.993722	+	0.111875i	$0.0356857\pi$
$152$	7.71246	−	0.404193i	0.625563	−	0.0327844i
$153$	−0.318726	+	2.01236i	−0.0257675	+	0.162689i
$154$	1.71506	−	7.26597i	0.138203	−	0.585508i
$155$	−0.571858	+	1.78233i	−0.0459328	+	0.143160i
$156$	−0.611298	+	5.81611i	−0.0489430	+	0.465662i
$157$	−3.53295	+	0.946651i	−0.281960	+	0.0755509i	−0.397027	−	0.917807i	$-0.629958\pi$
$157$	−3.53295	+	0.946651i	−0.281960	+	0.0755509i	0.115067	+	0.993358i	$0.463292\pi$
$158$	−14.3977	−	5.52676i	−1.14542	−	0.439685i
$159$	7.14499	−	1.51871i	0.566634	−	0.120442i
$160$	1.00780	−	1.99608i	0.0796738	−	0.157804i
$161$	19.9524	+	0.446161i	1.57247	+	0.0351624i
$162$	−3.13840	−	6.15945i	−0.246576	−	0.483932i
$163$	10.5062	+	6.82279i	0.822907	+	0.534402i	0.886043	−	0.463603i	$-0.153444\pi$
$163$	10.5062	+	6.82279i	0.822907	+	0.534402i	−0.0631361	+	0.998005i	$0.520110\pi$
$164$	4.21627	+	0.896196i	0.329236	+	0.0699812i
$165$	0.477314	−	9.79863i	0.0371589	−	0.762822i
$166$	1.69802	+	7.98855i	0.131792	+	0.620032i
$167$	2.63627	+	16.6448i	0.204001	+	1.28801i	0.850856	+	0.525399i	$0.176084\pi$
$167$	2.63627	+	16.6448i	0.204001	+	1.28801i	−0.646855	+	0.762613i	$0.723916\pi$
$168$	2.31701	−	3.39904i	0.178762	−	0.262242i
$169$	−0.674542	+	0.928427i	−0.0518878	+	0.0714175i
$170$	−6.75812	+	3.93508i	−0.518324	+	0.301807i
$171$	−4.47455	+	0.470295i	−0.342178	+	0.0359643i
$172$	2.90783	+	2.35471i	0.221720	+	0.179545i
$173$	−0.345352	−	6.58971i	−0.0262566	−	0.501007i	−0.979828	−	0.199841i	$-0.935958\pi$
$173$	−0.345352	−	6.58971i	−0.0262566	−	0.501007i	0.953572	−	0.301166i	$-0.0973758\pi$
$174$	14.2768			1.08232
$175$	0.494302	+	13.2195i	0.0373657	+	0.999302i
$176$	2.82174			0.212697
$177$	−0.611159	−	11.6616i	−0.0459375	−	0.876540i
$178$	11.4094	+	9.23916i	0.855171	+	0.692504i
$179$	−24.8642	+	2.61333i	−1.85844	+	0.195330i	−0.966472	−	0.256773i	$-0.917341\pi$
$179$	−24.8642	+	2.61333i	−1.85844	+	0.195330i	−0.891966	+	0.452103i	$0.850674\pi$
$180$	−0.525450	+	1.19199i	−0.0391648	+	0.0888454i
$181$	−6.59067	+	9.07127i	−0.489880	+	0.674262i	−0.980366	−	0.197187i	$-0.936819\pi$
$181$	−6.59067	+	9.07127i	−0.489880	+	0.674262i	0.490486	+	0.871449i	$0.336819\pi$
$182$	8.96567	−	4.31855i	0.664580	−	0.320112i
$183$	−2.88313	−	18.2034i	−0.213127	−	1.34563i
$184$	1.56832	+	7.37836i	0.115618	+	0.543940i
$185$	6.23852	−	1.69628i	0.458665	−	0.124713i
$186$	−1.27309	−	0.270605i	−0.0933478	−	0.0198417i
$187$	−8.27651	−	5.37483i	−0.605238	−	0.393046i
$188$	−4.94792	−	9.71085i	−0.360865	−	0.708236i
$189$	−7.65218	+	12.5950i	−0.556614	+	0.916154i
$190$	−12.2561	−	12.1661i	−0.889153	−	0.882623i
$191$	17.0307	−	3.61999i	1.23230	−	0.261933i	0.454672	−	0.890659i	$-0.349757\pi$
$191$	17.0307	−	3.61999i	1.23230	−	0.261933i	0.777627	+	0.628726i	$0.216423\pi$
$192$	1.45154	+	0.557194i	0.104756	+	0.0402120i
$193$	22.3798	−	5.99664i	1.61093	−	0.431648i	0.662611	−	0.748964i	$-0.269448\pi$
$193$	22.3798	−	5.99664i	1.61093	−	0.431648i	0.948320	+	0.317316i	$0.102782\pi$
$194$	−0.211411	+	2.01144i	−0.0151784	+	0.144413i
$195$	10.5510	−	7.72533i	0.755573	−	0.553222i
$196$	−6.99300	−	0.312901i	−0.499500	−	0.0223500i
$197$	−2.18731	+	13.8101i	−0.155839	+	0.983931i	0.778526	+	0.627613i	$0.215968\pi$
$197$	−2.18731	+	13.8101i	−0.155839	+	0.983931i	−0.934365	+	0.356318i	$0.884032\pi$
$198$	−1.64161	+	0.0860329i	−0.116664	+	0.00611409i
$199$	2.65538	−	4.59925i	0.188235	−	0.326032i	−0.756427	−	0.654078i	$-0.773057\pi$
$199$	2.65538	−	4.59925i	0.188235	−	0.326032i	0.944662	+	0.328046i	$0.106390\pi$
$200$	−4.81996	+	1.32966i	−0.340822	+	0.0940214i
$201$	−2.74526	+	1.58498i	−0.193636	+	0.111796i
$202$	−4.51635	+	8.86383i	−0.317769	+	0.623657i
$203$	−12.7727	−	20.6655i	−0.896471	−	1.45043i
$204$	−3.19620	−	4.39919i	−0.223779	−	0.308005i
$205$	−4.84998	−	8.32936i	−0.338738	−	0.581748i
$206$	0.131950	+	0.296366i	0.00919342	+	0.0206488i
$207$	−1.13736	−	4.24469i	−0.0790521	−	0.295027i
$208$	2.36708	+	2.92310i	0.164128	+	0.202681i
$209$	6.73424	−	20.7259i	0.465817	−	1.43364i
$210$	−9.11041	+	1.26907i	−0.628678	+	0.0875741i
$211$	2.97388	+	9.15266i	0.204730	+	0.630095i	0.999724	+	0.0234777i	$0.00747387\pi$
$211$	2.97388	+	9.15266i	0.204730	+	0.630095i	−0.794994	+	0.606617i	$0.792526\pi$
$212$	2.55875	−	3.94014i	0.175736	−	0.270610i
$213$	−1.17729	−	0.0616993i	−0.0806668	−	0.00422757i
$214$	−2.55842	+	12.0364i	−0.174890	+	0.822793i
$215$	−0.468670	−	8.35350i	−0.0319630	−	0.569704i
$216$	−5.29758	−	1.72129i	−0.360455	−	0.117119i
$217$	0.747279	+	2.08489i	0.0507286	+	0.141532i
$218$	8.00110	+	8.00110i	0.541903	+	0.541903i
$219$	7.73939	+	0.813443i	0.522980	+	0.0549674i
$220$	−4.23921	−	4.67336i	−0.285807	−	0.315078i
$221$	−1.37504	−	13.0826i	−0.0924949	−	0.880030i
$222$	1.61098	+	4.19676i	0.108122	+	0.281668i
$223$	−0.654644	−	0.333558i	−0.0438382	−	0.0223367i	0.431934	−	0.901905i	$-0.357831\pi$
$223$	−0.654644	−	0.333558i	−0.0438382	−	0.0223367i	−0.475772	+	0.879569i	$0.657831\pi$
$224$	−0.492090	−	2.59959i	−0.0328792	−	0.173692i
$225$	2.76357	−	0.920515i	0.184238	−	0.0613677i
$226$	4.06840	+	7.04667i	0.270626	+	0.468737i
$227$	−9.28976	−	14.3050i	−0.616583	−	0.949455i	−0.999669	−	0.0257421i	$-0.991805\pi$
$227$	−9.28976	−	14.3050i	−0.616583	−	0.949455i	0.383085	−	0.923713i	$-0.374862\pi$
$228$	7.55679	−	9.33186i	0.500461	−	0.618018i
$229$	9.92657	+	4.41959i	0.655966	+	0.292055i	0.707602	−	0.706611i	$-0.249777\pi$
$229$	9.92657	+	4.41959i	0.655966	+	0.292055i	−0.0516360	+	0.998666i	$0.516444\pi$
$230$	9.86387	−	13.6822i	0.650404	−	0.902179i
$231$	−6.61116	−	9.54096i	−0.434982	−	0.627749i
$232$	6.49288	−	6.49288i	0.426279	−	0.426279i
$233$	−6.15119	+	4.98114i	−0.402978	+	0.326325i	−0.809290	−	0.587409i	$-0.800148\pi$
$233$	−6.15119	+	4.98114i	−0.402978	+	0.326325i	0.406312	+	0.913734i	$0.366815\pi$
$234$	−1.46622	−	1.62840i	−0.0958498	−	0.106452i
$235$	−8.64962	+	22.7837i	−0.564239	+	1.48624i
$236$	−5.58149	−	5.02560i	−0.363324	−	0.327138i
$237$	−21.3648	+	10.8859i	−1.38779	+	0.707116i
$238$	−3.50830	+	8.56222i	−0.227410	+	0.555006i
$239$	1.58888	−	0.516257i	0.102776	−	0.0333939i	−0.257178	−	0.966364i	$-0.582793\pi$
$239$	1.58888	−	0.516257i	0.102776	−	0.0333939i	0.359954	+	0.932970i	$0.382793\pi$
$240$	−1.25788	−	3.24113i	−0.0811957	−	0.209214i
$241$	10.1333	−	9.12403i	0.652741	−	0.587730i	−0.274778	−	0.961508i	$-0.588604\pi$
$241$	10.1333	−	9.12403i	0.652741	−	0.587730i	0.927518	+	0.373777i	$0.121938\pi$
$242$	−1.08863	+	2.83599i	−0.0699801	+	0.182304i
$243$	5.75921	+	1.54318i	0.369454	+	0.0989948i
$244$	−9.58987	−	6.96745i	−0.613929	−	0.446045i
$245$	9.98762	+	12.0519i	0.638086	+	0.769965i
$246$	5.42199	−	3.93931i	0.345694	−	0.251161i
$247$	27.1195	−	10.4102i	1.72557	−	0.662385i
$248$	−0.702054	+	0.455919i	−0.0445805	+	0.0289509i
$249$	10.9969	+	6.34908i	0.696902	+	0.402356i
$250$	9.44338	+	5.98519i	0.597252	+	0.378537i
$251$			1.61418i			0.101886i	0.998702	+	0.0509431i	$0.0162227\pi$
$251$			1.61418i			0.101886i	−0.998702	+	0.0509431i	$0.983777\pi$
$252$	0.365543	+	1.49736i	0.0230270	+	0.0943247i
$253$	21.0229	+	3.32971i	1.32170	+	0.209337i
$254$	0.0880028	−	0.197658i	0.00552179	−	0.0124021i
$255$	−2.48416	+	11.9026i	−0.155564	+	0.745370i
$256$	0.913545	−	0.406737i	0.0570966	−	0.0254210i
$257$	3.92265	−	14.6395i	0.244688	−	0.913188i	−0.728852	−	0.684671i	$-0.759946\pi$
$257$	3.92265	−	14.6395i	0.244688	−	0.913188i	0.973540	−	0.228517i	$-0.0733876\pi$
$258$	5.74596	−	0.910071i	0.357728	−	0.0566586i
$259$	4.63350	−	6.08653i	0.287912	−	0.378198i
$260$	1.28508	−	8.31183i	0.0796971	−	0.515478i
$261$	−3.57940	+	3.97533i	−0.221559	+	0.246067i
$262$	−0.986190	+	18.8176i	−0.0609271	+	1.16256i
$263$	−0.389493	+	7.43196i	−0.0240171	+	0.458274i	0.959978	+	0.280077i	$0.0903599\pi$
$263$	−0.389493	+	7.43196i	−0.0240171	+	0.458274i	−0.983995	+	0.178198i	$0.942973\pi$
$264$	2.93566	−	3.26038i	0.180677	−	0.200663i
$265$	−10.3697	+	1.68161i	−0.637009	+	0.103301i
$266$	−20.2685	−	2.58962i	−1.24274	−	0.158780i
$267$	22.5454	−	3.57084i	1.37976	−	0.218532i
$268$	−0.527682	+	1.96934i	−0.0322333	+	0.120296i
$269$	−14.9353	+	6.64960i	−0.910618	+	0.405433i	−0.807929	−	0.589280i	$-0.799412\pi$
$269$	−14.9353	+	6.64960i	−0.910618	+	0.405433i	−0.102690	+	0.994713i	$0.532745\pi$
$270$	5.10796	+	11.3598i	0.310861	+	0.691335i
$271$	−0.226346	+	0.508382i	−0.0137495	+	0.0308820i	−0.920290	−	0.391238i	$-0.872047\pi$
$271$	−0.226346	+	0.508382i	−0.0137495	+	0.0308820i	0.906540	+	0.422120i	$0.138714\pi$
$272$	−3.45428	−	0.547105i	−0.209447	−	0.0331731i
$273$	4.33776	−	14.8523i	0.262533	−	0.898900i
$274$		−	0.744057i		−	0.0449501i
$275$	−1.37128	+	14.0419i	−0.0826916	+	0.846760i
$276$	10.1570	+	5.86412i	0.611377	+	0.352978i
$277$	−21.5022	+	13.9637i	−1.29194	+	0.838996i	−0.993322	−	0.115376i	$-0.963193\pi$
$277$	−21.5022	+	13.9637i	−1.29194	+	0.838996i	−0.298619	+	0.954372i	$0.596526\pi$
$278$	−1.59762	+	0.613267i	−0.0958186	+	0.0367813i
$279$	0.394533	−	0.286645i	0.0236201	−	0.0171610i
$280$	−3.56614	+	4.72045i	−0.213118	+	0.282101i
$281$	13.7989	+	10.0255i	0.823175	+	0.598071i	0.917620	−	0.397459i	$-0.130108\pi$
$281$	13.7989	+	10.0255i	0.823175	+	0.598071i	−0.0944455	+	0.995530i	$0.530108\pi$
$282$	−16.3681	−	4.38581i	−0.974704	−	0.261171i
$283$	−5.06152	+	13.1857i	−0.300876	+	0.783809i	0.696901	+	0.717167i	$0.254562\pi$
$283$	−5.06152	+	13.1857i	−0.300876	+	0.783809i	−0.997777	+	0.0666415i	$0.978772\pi$
$284$	−0.563478	+	0.507357i	−0.0334362	+	0.0301061i
$285$	−26.8082	+	1.50407i	−1.58798	+	0.0890932i
$286$	10.0940	−	3.27976i	0.596874	−	0.193936i
$287$	−10.5529	−	4.32398i	−0.622919	−	0.255236i
$288$	−0.519072	+	0.264480i	−0.0305866	+	0.0155847i
$289$	−3.54376	−	3.19081i	−0.208456	−	0.187695i
$290$	−20.5080	−	0.998992i	−1.20427	−	0.0586628i
$291$	2.10417	+	2.33692i	0.123349	+	0.136992i
$292$	3.88972	−	3.14983i	0.227628	−	0.184330i
$293$	18.1661	−	18.1661i	1.06128	−	1.06128i	0.0632796	−	0.997996i	$-0.479844\pi$
$293$	18.1661	−	18.1661i	1.06128	−	1.06128i	0.997996	−	0.0632796i	$-0.0201560\pi$
$294$	−7.63685	+	7.75452i	−0.445390	+	0.452253i
$295$	0.0619037	+	16.7942i	0.00360417	+	0.977795i
$296$	2.64129	+	1.17598i	0.153522	+	0.0683522i
$297$	−9.89148	+	12.2150i	−0.573962	+	0.708784i
$298$	3.45956	+	5.32726i	0.200407	+	0.308600i
$299$	14.1862	+	24.5713i	0.820411	+	1.42099i
$300$	−3.47818	+	6.95256i	−0.200813	+	0.401406i
$301$	−6.45796	−	7.50304i	−0.372231	−	0.432468i
$302$	−8.75853	−	4.46270i	−0.503997	−	0.256799i
$303$	5.54302	+	14.4401i	0.318438	+	0.829560i
$304$	−0.807278	−	7.68074i	−0.0463006	−	0.440520i
$305$	2.86775	+	26.3502i	0.164207	+	1.50881i
$306$	2.02628	+	0.212971i	0.115835	+	0.0121747i
$307$	−3.99508	−	3.99508i	−0.228011	−	0.228011i	0.583850	−	0.811861i	$-0.301546\pi$
$307$	−3.99508	−	3.99508i	−0.228011	−	0.228011i	−0.811861	+	0.583850i	$0.801546\pi$
$308$	−7.34577	−	1.33243i	−0.418564	−	0.0759225i
$309$	0.479713	+	0.155868i	0.0272899	+	0.00886702i
$310$	1.80981	+	0.477795i	0.102790	+	0.0271369i
$311$	3.79120	−	17.8362i	0.214979	−	1.01140i	−0.729793	−	0.683669i	$-0.760383\pi$
$311$	3.79120	−	17.8362i	0.214979	−	1.01140i	0.944772	−	0.327729i	$-0.106283\pi$
$312$	5.84013	+	0.306069i	0.330633	+	0.0173277i
$313$	−7.69459	+	11.8486i	−0.434924	+	0.669725i	−0.986381	−	0.164479i	$-0.947406\pi$
$313$	−7.69459	+	11.8486i	−0.434924	+	0.669725i	0.551456	+	0.834204i	$0.314072\pi$
$314$	1.13025	+	3.47856i	0.0637839	+	0.196307i
$315$	1.93075	−	2.85495i	0.108785	−	0.160858i
$316$	−4.76566	+	14.6672i	−0.268090	+	0.825095i
$317$	−4.38731	−	5.41788i	−0.246416	−	0.304298i	0.638899	−	0.769291i	$-0.279390\pi$
$317$	−4.38731	−	5.41788i	−0.246416	−	0.304298i	−0.885315	+	0.464993i	$0.846057\pi$
$318$	−1.89057	−	7.05571i	−0.106018	−	0.395665i
$319$	−10.5386	−	23.6701i	−0.590049	−	1.32527i
$320$	−2.04609	−	0.901955i	−0.114380	−	0.0504208i
$321$	11.2458	+	15.4785i	0.627677	+	0.863924i
$322$	−0.598681	−	19.9485i	−0.0333632	−	1.11168i
$323$	−12.2623	+	24.0662i	−0.682295	+	1.33908i
$324$	−5.98675	+	3.45645i	−0.332597	+	0.192025i
$325$	−15.6966	+	10.3588i	−0.870693	+	0.574605i
$326$	6.26359	−	10.8489i	0.346908	−	0.600862i
$327$	17.5690	−	0.920751i	0.971566	−	0.0509176i
$328$	0.674306	−	4.25740i	0.0372323	−	0.235075i
$329$	8.29531	+	27.6164i	0.457335	+	1.52254i
$330$	−9.81018	+	0.0361605i	−0.540033	+	0.00199057i
$331$	1.79534	−	17.0816i	0.0986810	−	0.938887i	−0.827413	−	0.561594i	$-0.810188\pi$
$331$	1.79534	−	17.0816i	0.0986810	−	0.938887i	0.926094	−	0.377293i	$-0.123145\pi$
$332$	7.88873	−	2.11378i	0.432950	−	0.116009i
$333$	−1.57248	−	0.603617i	−0.0861711	−	0.0330780i
$334$	16.4840	−	3.50378i	0.901964	−	0.191718i
$335$	4.05437	−	2.08466i	0.221514	−	0.113897i
$336$	−3.51564	−	2.13595i	−0.191794	−	0.116525i
$337$	0.212279	+	0.416621i	0.0115636	+	0.0226948i	0.896716	−	0.442606i	$-0.145946\pi$
$337$	0.212279	+	0.416621i	0.0115636	+	0.0226948i	−0.885152	+	0.465301i	$0.845946\pi$
$338$	0.962458	+	0.625027i	0.0523508	+	0.0339970i
$339$	12.3747	+	2.63032i	0.672101	+	0.142860i
$340$	4.28338	+	6.54291i	0.232299	+	0.354839i
$341$	0.491107	+	2.31047i	0.0265949	+	0.125119i
$342$	0.703830	+	4.44381i	0.0380588	+	0.240294i
$343$	18.0569	+	4.11668i	0.974983	+	0.222280i
$344$	2.19930	−	3.02708i	0.118578	−	0.163209i
$345$	−5.54703	−	25.6318i	−0.298642	−	1.37997i
$346$	−6.56261	+	0.689758i	−0.352808	+	0.0370816i
$347$	−4.78061	−	3.87126i	−0.256637	−	0.207820i	0.492364	−	0.870389i	$-0.336133\pi$
$347$	−4.78061	−	3.87126i	−0.256637	−	0.207820i	−0.749001	+	0.662569i	$0.769466\pi$
$348$	−0.747188	−	14.2572i	−0.0400535	−	0.764266i
$349$	−1.08901			−0.0582934			−0.0291467	−	0.999575i	$-0.509279\pi$
$349$	−1.08901			−0.0582934			−0.0291467	+	0.999575i	$0.509279\pi$
$350$	13.1755	−	1.18548i	0.704262	−	0.0633666i
$351$	−20.9514			−1.11830
$352$	−0.147679	−	2.81788i	−0.00787130	−	0.150193i
$353$	11.9910	+	9.71010i	0.638216	+	0.516817i	0.892928	−	0.450200i	$-0.148647\pi$
$353$	11.9910	+	9.71010i	0.638216	+	0.516817i	−0.254712	+	0.967017i	$0.581981\pi$
$354$	−11.6136	+	1.22064i	−0.617258	+	0.0648764i
$355$	1.68682	+	0.171008i	0.0895269	+	0.00907614i
$356$	8.62937	−	11.8773i	0.457356	−	0.629496i
$357$	6.24327	+	12.9615i	0.330429	+	0.685998i
$358$	3.91104	+	24.6934i	0.206705	+	1.30508i
$359$	1.64610	+	7.74428i	0.0868777	+	0.408728i	0.999999	+	0.00104054i	$0.000331215\pi$
$359$	1.64610	+	7.74428i	0.0868777	+	0.408728i	−0.913122	+	0.407687i	$0.866335\pi$
$360$	1.21785	+	0.462347i	0.0641865	+	0.0243678i
$361$	−39.7572	−	8.45066i	−2.09249	−	0.444771i
$362$	9.40377	+	6.10688i	0.494251	+	0.320971i
$363$	2.14426	+	4.20834i	0.112544	+	0.220881i
$364$	−4.78186	−	8.72737i	−0.250638	−	0.457439i
$365$	−11.0604	−	1.71003i	−0.578928	−	0.0895069i
$366$	−18.0276	+	3.83187i	−0.942315	+	0.200295i
$367$	−5.65367	−	2.17024i	−0.295119	−	0.113286i	0.206304	−	0.978488i	$-0.433857\pi$
$367$	−5.65367	−	2.17024i	−0.295119	−	0.113286i	−0.501423	+	0.865202i	$0.667190\pi$
$368$	7.28617	−	1.95232i	0.379818	−	0.101772i
$369$	−0.262486	+	2.49739i	−0.0136645	+	0.130009i
$370$	−2.02045	−	6.14120i	−0.105038	−	0.319266i
$371$	−8.52168	+	9.04900i	−0.442423	+	0.469801i
$372$	−0.203605	+	1.28551i	−0.0105564	+	0.0666507i
$373$	−7.28157	+	0.381611i	−0.377025	+	0.0197591i	−0.239908	−	0.970796i	$-0.577117\pi$
$373$	−7.28157	+	0.381611i	−0.377025	+	0.0197591i	−0.137118	+	0.990555i	$0.543784\pi$
$374$	−4.93430	+	8.54646i	−0.255147	+	0.441927i
$375$	16.7402	−	4.68452i	0.864460	−	0.241908i
$376$	−9.43859	+	5.44937i	−0.486758	+	0.281030i
$377$	15.6798	−	30.7734i	0.807551	−	1.58491i
$378$	12.9783	+	6.98252i	0.667529	+	0.359142i
$379$	−13.4901	−	18.5676i	−0.692941	−	0.953751i	−0.999998	−	0.00206017i	$-0.999344\pi$
$379$	−13.4901	−	18.5676i	−0.692941	−	0.953751i	0.307057	−	0.951691i	$-0.400656\pi$
$380$	−11.5080	+	12.8761i	−0.590348	+	0.660528i
$381$	−0.136828	−	0.307320i	−0.00700989	−	0.0157445i
$382$	−4.50634	−	16.8179i	−0.230565	−	0.860479i
$383$	−7.94149	−	9.80692i	−0.405791	−	0.501110i	0.532752	−	0.846271i	$-0.321158\pi$
$383$	−7.94149	−	9.80692i	−0.405791	−	0.501110i	−0.938544	+	0.345161i	$0.887824\pi$
$384$	0.480462	−	1.47871i	0.0245185	−	0.0754602i
$385$	8.82904	+	14.1678i	0.449970	+	0.722058i
$386$	−7.15969	−	22.0353i	−0.364419	−	1.12157i
$387$	−1.18719	+	1.82812i	−0.0603484	+	0.0929284i
$388$	2.01975	+	0.105850i	0.102537	+	0.00537374i
$389$	−5.32829	+	25.0677i	−0.270155	+	1.27098i	0.608511	+	0.793545i	$0.291767\pi$
$389$	−5.32829	+	25.0677i	−0.270155	+	1.27098i	−0.878667	+	0.477436i	$0.841566\pi$
$390$	−8.26694	−	10.1322i	−0.418613	−	0.513065i
$391$	−25.0900	−	8.15222i	−1.26885	−	0.412276i
$392$	0.0535138	+	6.99980i	0.00270285	+	0.353543i
$393$	20.7168	+	20.7168i	1.04502	+	1.04502i
$394$	13.9057	+	1.46155i	0.700558	+	0.0736316i
$395$	31.4514	−	14.1422i	1.58249	−	0.711572i
$396$	0.171830	+	1.63485i	0.00863479	+	0.0821545i
$397$	−6.92981	−	18.0528i	−0.347797	−	0.906043i	−0.990198	−	0.139674i	$-0.955395\pi$
$397$	−6.92981	−	18.0528i	−0.347797	−	0.906043i	0.642400	−	0.766369i	$-0.277939\pi$
$398$	−4.73192	−	2.41103i	−0.237190	−	0.120854i
$399$	−24.0789	+	20.7250i	−1.20545	+	1.03755i
$400$	1.58010	+	4.74376i	0.0790049	+	0.237188i
$401$	5.61597	+	9.72714i	0.280448	+	0.485750i	0.971495	−	0.237060i	$-0.0761836\pi$
$401$	5.61597	+	9.72714i	0.280448	+	0.485750i	−0.691047	+	0.722810i	$0.742850\pi$
$402$	1.72648	+	2.65855i	0.0861091	+	0.132596i
$403$	−1.98149	+	2.44694i	−0.0987051	+	0.121891i
$404$	9.08805	+	4.04626i	0.452147	+	0.201309i
$405$	14.7187	+	4.72248i	0.731377	+	0.234662i
$406$	−19.9687	+	13.8368i	−0.991030	+	0.686708i
$407$	5.76883	−	5.76883i	0.285950	−	0.285950i
$408$	−4.22589	+	3.42206i	−0.209213	+	0.169417i
$409$	8.43518	+	9.36822i	0.417093	+	0.463229i	0.914676	−	0.404188i	$-0.132446\pi$
$409$	8.43518	+	9.36822i	0.417093	+	0.463229i	−0.497583	+	0.867416i	$0.665779\pi$
$410$	−8.06412	+	5.27926i	−0.398258	+	0.260724i
$411$	−0.859719	−	0.774095i	−0.0424068	−	0.0381833i
$412$	0.289054	−	0.147280i	0.0142407	−	0.00725597i
$413$	12.1570	+	15.7186i	0.598209	+	0.773461i
$414$	−4.17935	+	1.35795i	−0.205404	+	0.0667398i
$415$	−15.3524	−	9.88968i	−0.753618	−	0.485465i
$416$	2.79521	−	2.51682i	0.137047	−	0.123397i
$417$	−0.953513	+	2.48399i	−0.0466937	+	0.121641i
$418$	−21.0499	−	5.64030i	−1.02958	−	0.275876i
$419$	0.292465	+	0.212489i	0.0142879	+	0.0103807i	0.594906	−	0.803795i	$-0.297189\pi$
$419$	0.292465	+	0.212489i	0.0142879	+	0.0103807i	−0.580618	+	0.814176i	$0.697189\pi$
$420$	1.74413	+	9.03151i	0.0851049	+	0.440692i
$421$	25.4099	−	18.4614i	1.23840	−	0.899753i	0.240913	−	0.970547i	$-0.422553\pi$
$421$	25.4099	−	18.4614i	1.23840	−	0.899753i	0.997491	+	0.0707932i	$0.0225531\pi$
$422$	8.98447	−	3.44882i	0.437357	−	0.167886i
$423$	5.32494	−	3.45806i	0.258907	−	0.168136i
$424$	−4.06865	−	2.34904i	−0.197591	−	0.114079i
$425$	4.40125	−	16.9238i	0.213492	−	0.820923i
$426$			1.17891i			0.0571183i
$427$	21.6750	+	22.6665i	1.04893	+	1.09691i
$428$	12.1538	+	1.92498i	0.587477	+	0.0930473i
$429$	6.71196	−	15.0753i	0.324057	−	0.727843i
$430$	−8.31752	+	0.905216i	−0.401107	+	0.0436534i
$431$	−6.44207	+	2.86820i	−0.310304	+	0.138156i	−0.555980	−	0.831196i	$-0.687657\pi$
$431$	−6.44207	+	2.86820i	−0.310304	+	0.138156i	0.245676	+	0.969352i	$0.420990\pi$
$432$	−1.44168	+	5.38041i	−0.0693627	+	0.258865i
$433$	1.28084	−	0.202865i	0.0615532	−	0.00974907i	−0.125582	−	0.992083i	$-0.540080\pi$
$433$	1.28084	−	0.202865i	0.0615532	−	0.00974907i	0.187135	+	0.982334i	$0.440080\pi$
$434$	2.04292	−	0.855370i	0.0980635	−	0.0410591i
$435$	−22.4902	+	22.6566i	−1.07832	+	1.08630i
$436$	7.57139	−	8.40888i	0.362604	−	0.402712i
$437$	3.04891	−	58.1766i	0.145849	−	2.78297i
$438$	0.407280	−	7.77136i	0.0194606	−	0.371330i
$439$	−16.4281	+	18.2453i	−0.784072	+	0.870800i	−0.994274	−	0.106858i	$-0.965921\pi$
$439$	−16.4281	+	18.2453i	−0.784072	+	0.870800i	0.210202	+	0.977658i	$0.432588\pi$
$440$	−4.44509	+	4.47799i	−0.211912	+	0.213480i
$441$	−0.244551	−	4.07064i	−0.0116453	−	0.193840i
$442$	−12.9927	+	2.05784i	−0.618000	+	0.0978815i
$443$	0.268907	−	1.00358i	0.0127762	−	0.0476813i	−0.959243	−	0.282581i	$-0.908809\pi$
$443$	0.268907	−	1.00358i	0.0127762	−	0.0476813i	0.972020	+	0.234900i	$0.0754761\pi$
$444$	4.10669	−	1.82842i	0.194895	−	0.0867729i
$445$	−32.6354	+	3.55179i	−1.54707	+	0.168371i
$446$	−0.298839	+	0.671204i	−0.0141504	+	0.0317824i
$447$	9.75460	+	1.54498i	0.461377	+	0.0730749i
$448$	−2.57027	+	0.627468i	−0.121434	+	0.0296451i
$449$			13.9992i			0.660665i	0.943865	+	0.330332i	$0.107161\pi$
$449$			13.9992i			0.660665i	−0.943865	+	0.330332i	$0.892839\pi$
$450$	−1.06389	−	2.71160i	−0.0501522	−	0.127826i
$451$	−10.5335	−	6.08152i	−0.496003	−	0.286368i
$452$	6.82409	−	4.43161i	0.320978	−	0.208446i
$453$	−14.2685	+	5.47718i	−0.670394	+	0.257340i
$454$	−13.7992	+	10.0257i	−0.647628	+	0.470529i
$455$	−7.27027	+	21.0311i	−0.340836	+	0.985955i
$456$	−9.71456	−	7.05804i	−0.454926	−	0.330523i
$457$	11.5558	+	3.09637i	0.540558	+	0.144842i	0.518759	−	0.854920i	$-0.326394\pi$
$457$	11.5558	+	3.09637i	0.540558	+	0.144842i	0.0217987	+	0.999762i	$0.493061\pi$
$458$	3.89402	−	10.1443i	0.181956	−	0.474011i
$459$	14.4772	−	13.0353i	0.675736	−	0.608435i
$460$	−14.1797	−	9.13428i	−0.661133	−	0.425888i
$461$	7.28455	−	2.36689i	0.339275	−	0.110237i	−0.134424	−	0.990924i	$-0.542918\pi$
$461$	7.28455	−	2.36689i	0.339275	−	0.110237i	0.473699	+	0.880687i	$0.342918\pi$
$462$	−9.18188	+	7.10143i	−0.427180	+	0.330388i
$463$	−17.7742	+	9.05641i	−0.826038	+	0.420887i	−0.815289	−	0.579055i	$-0.803422\pi$
$463$	−17.7742	+	9.05641i	−0.826038	+	0.420887i	−0.0107493	+	0.999942i	$0.503422\pi$
$464$	−6.82380	−	6.14417i	−0.316787	−	0.285236i
$465$	2.43494	−	1.59406i	0.112918	−	0.0739228i
$466$	5.29624	+	5.88207i	0.245343	+	0.272482i
$467$	25.0714	−	20.3024i	1.16017	−	0.939484i	0.161291	−	0.986907i	$-0.448434\pi$
$467$	25.0714	−	20.3024i	1.16017	−	0.939484i	0.998875	+	0.0474226i	$0.0151008\pi$
$468$	−1.54943	+	1.54943i	−0.0716226	+	0.0716226i
$469$	2.30363	−	4.87755i	0.106372	−	0.225224i
$470$	23.2052	+	7.44536i	1.07037	+	0.343429i
$471$	5.19518	+	2.31304i	0.239381	+	0.106579i
$472$	−4.72660	+	5.83686i	−0.217559	+	0.268663i
$473$	−5.75032	−	8.85472i	−0.264400	−	0.407141i
$474$	11.9891	+	20.7658i	0.550680	+	0.953805i
$475$	38.6142	−	0.284669i	1.77174	−	0.0130615i
$476$	8.73410	+	3.05538i	0.400327	+	0.140043i
$477$	2.43864	+	1.24255i	0.111658	+	0.0568924i
$478$	−0.598705	−	1.55968i	−0.0273841	−	0.0713381i
$479$	−0.234316	−	2.22937i	−0.0107062	−	0.101863i	0.987864	−	0.155323i	$-0.0496417\pi$
$479$	−0.234316	−	2.22937i	−0.0107062	−	0.101863i	−0.998570	+	0.0534601i	$0.982975\pi$
$480$	−3.17085	+	1.42578i	−0.144729	+	0.0650777i
$481$	10.8154	+	1.13674i	0.493138	+	0.0518309i
$482$	−9.64186	−	9.64186i	−0.439175	−	0.439175i
$483$	−23.6723	−	20.0620i	−1.07712	−	0.912854i
$484$	2.88908	+	0.938719i	0.131322	+	0.0426690i
$485$	−2.85903	−	3.50412i	−0.129822	−	0.159114i
$486$	1.23965	−	5.83208i	0.0562316	−	0.264549i
$487$	−11.0724	−	0.580279i	−0.501738	−	0.0262950i	−0.200211	−	0.979753i	$-0.564163\pi$
$487$	−11.0724	−	0.580279i	−0.501738	−	0.0262950i	−0.301526	+	0.953458i	$0.597496\pi$
$488$	−6.45601	+	9.94138i	−0.292250	+	0.450025i
$489$	−6.01884	−	18.5241i	−0.272181	−	0.837688i
$490$	11.5126	−	10.6047i	0.520088	−	0.479070i
$491$	10.4511	−	32.1652i	0.471652	−	1.45159i	−0.378769	−	0.925491i	$-0.623652\pi$
$491$	10.4511	−	32.1652i	0.471652	−	1.45159i	0.850421	−	0.526103i	$-0.176348\pi$
$492$	−4.21768	−	5.20840i	−0.190148	−	0.234813i
$493$	8.31165	+	31.0195i	0.374338	+	1.39705i
$494$	−11.8153	−	26.5375i	−0.531594	−	1.19398i
$495$	2.44949	−	2.74068i	0.110096	−	0.123185i
$496$	0.492037	+	0.677231i	0.0220931	+	0.0304086i
$497$	1.70646	−	1.05471i	0.0765452	−	0.0473104i
$498$	5.76484	−	11.3141i	0.258329	−	0.506999i
$499$	38.2904	−	22.1070i	1.71411	−	0.989644i	0.785283	−	0.619137i	$-0.212517\pi$
$499$	38.2904	−	22.1070i	1.71411	−	0.989644i	0.928830	−	0.370507i	$-0.120816\pi$
$500$	5.48276	−	9.74368i	0.245197	−	0.435751i
$501$	13.1010	−	22.6916i	0.585310	−	1.01379i
$502$	1.61197	−	0.0844797i	0.0719457	−	0.00377051i
$503$	2.47262	−	15.6115i	0.110249	−	0.696083i	−0.869211	−	0.494442i	$-0.835373\pi$
$503$	2.47262	−	15.6115i	0.110249	−	0.696083i	0.979459	−	0.201641i	$-0.0646275\pi$
$504$	1.47617	−	0.443407i	0.0657540	−	0.0197509i
$505$	−6.95191	−	21.1304i	−0.309356	−	0.940292i
$506$	2.22489	−	21.1684i	0.0989083	−	0.941049i
$507$	1.72350	−	0.461810i	0.0765433	−	0.0205097i
$508$	−0.201992	−	0.0775376i	−0.00896196	−	0.00344018i
$509$	1.57729	−	0.335263i	0.0699120	−	0.0148603i	−0.172823	−	0.984953i	$-0.555289\pi$
$509$	1.57729	−	0.335263i	0.0699120	−	0.0148603i	0.242735	+	0.970093i	$0.421955\pi$
$510$	12.0163	+	1.85782i	0.532091	+	0.0822655i
$511$	−11.6133	+	6.36313i	−0.513744	+	0.281488i
$512$	−0.453990	−	0.891007i	−0.0200637	−	0.0393773i
$513$	36.0788	+	23.4298i	1.59292	+	1.03445i
$514$	−14.8247	−	3.15110i	−0.653892	−	0.138989i
$515$	−0.678181	−	0.257465i	−0.0298842	−	0.0113453i
$516$	−1.20954	−	5.69046i	−0.0532472	−	0.250509i
$517$	4.81090	+	30.3748i	0.211583	+	1.33588i
$518$	−6.32069	−	4.30861i	−0.277715	−	0.189309i
$519$	−6.03056	+	8.30036i	−0.264712	+	0.364345i
$520$	−8.36770	−	0.848308i	−0.366948	−	0.0372008i
$521$	−0.348908	+	0.0366717i	−0.0152859	+	0.00160662i	−0.112168	−	0.993689i	$-0.535780\pi$
$521$	−0.348908	+	0.0366717i	−0.0152859	+	0.00160662i	0.0968824	+	0.995296i	$0.469113\pi$
$522$	4.15721	+	3.36644i	0.181956	+	0.147345i
$523$	−1.67164	−	31.8969i	−0.0730959	−	1.39475i	−0.751340	−	0.659915i	$-0.770592\pi$
$523$	−1.67164	−	31.8969i	−0.0730959	−	1.39475i	0.678244	−	0.734837i	$-0.262741\pi$
$524$	18.8435			0.823180
$525$	12.3377	−	16.4570i	0.538460	−	0.718242i
$526$	7.44216			0.324494
$527$	−0.153221	−	2.92362i	−0.00667440	−	0.127355i
$528$	−3.40955	−	2.76100i	−0.148382	−	0.120157i
$529$	33.7142	−	3.54350i	1.46583	−	0.154065i
$530$	2.22202	+	10.2675i	0.0965183	+	0.445993i
$531$	2.57183	−	3.53982i	0.111608	−	0.153615i
$532$	−1.52530	+	20.3762i	−0.0661301	+	0.883422i
$533$	−2.53629	−	16.0135i	−0.109859	−	0.693621i
$534$	−4.74588	−	22.3276i	−0.205374	−	0.966210i
$535$	−15.0710	−	23.0211i	−0.651576	−	0.995288i
$536$	1.99426	+	0.423892i	0.0861387	+	0.0183093i
$537$	32.6008	+	21.1712i	1.40683	+	0.913606i
$538$	7.42214	+	14.5668i	0.319991	+	0.628018i
$539$	18.4939	+	6.93738i	0.796587	+	0.298814i
$540$	11.0769	−	5.69549i	0.476674	−	0.245095i
$541$	−7.60448	+	1.61638i	−0.326942	+	0.0694937i	−0.368459	−	0.929644i	$-0.620114\pi$
$541$	−7.60448	+	1.61638i	−0.326942	+	0.0694937i	0.0415165	+	0.999138i	$0.486781\pi$
$542$	0.519531	+	0.199429i	0.0223158	+	0.00856622i
$543$	16.8396	−	4.51215i	0.722656	−	0.193635i
$544$	−0.365572	+	3.47818i	−0.0156738	+	0.149126i
$545$	−25.3015	+	0.0932619i	−1.08380	+	0.00399490i
$546$	−15.0589	−	3.55451i	−0.644463	−	0.152119i
$547$	−6.14537	+	38.8003i	−0.262757	+	1.65898i	0.404786	+	0.914411i	$0.367346\pi$
$547$	−6.14537	+	38.8003i	−0.262757	+	1.65898i	−0.667543	+	0.744571i	$0.732654\pi$
$548$	−0.743037	+	0.0389409i	−0.0317410	+	0.00166347i
$549$	3.45281	−	5.98044i	0.147362	−	0.255239i
$550$	14.0944	+	0.634507i	0.600989	+	0.0270555i
$551$	−61.4146	+	35.4578i	−2.61635	+	1.51055i
$552$	5.32451	−	10.4499i	0.226626	−	0.444779i
$553$	19.3322	−	35.9324i	0.822089	−	1.52800i
$554$	15.0699	+	20.7419i	0.640258	+	0.881239i
$555$	−9.19786	−	4.05459i	−0.390427	−	0.172108i
$556$	0.696039	+	1.56333i	0.0295186	+	0.0663000i
$557$	7.36087	+	27.4711i	0.311890	+	1.16399i	0.926850	+	0.375431i	$0.122505\pi$
$557$	7.36087	+	27.4711i	0.311890	+	1.16399i	−0.614960	+	0.788558i	$0.710828\pi$
$558$	−0.306901	−	0.378991i	−0.0129921	−	0.0160440i
$559$	4.34900	−	13.3849i	0.183943	−	0.566119i
$560$	4.90062	+	3.31420i	0.207089	+	0.140051i
$561$	4.74150	+	14.5928i	0.200186	+	0.616109i
$562$	9.28958	−	14.3047i	0.391857	−	0.603408i
$563$	−15.6061	−	0.817882i	−0.657720	−	0.0344696i	−0.279443	−	0.960162i	$-0.590150\pi$
$563$	−15.6061	−	0.817882i	−0.657720	−	0.0344696i	−0.378277	+	0.925693i	$0.623483\pi$
$564$	−3.52316	+	16.5752i	−0.148352	+	0.697940i
$565$	−17.5917	−	4.64425i	−0.740088	−	0.195385i
$566$	13.4325	+	4.36450i	0.564612	+	0.183453i
$567$	17.2173	−	6.17113i	0.723059	−	0.259163i
$568$	0.536152	+	0.536152i	0.0224964	+	0.0224964i
$569$	9.01929	+	0.947966i	0.378108	+	0.0397408i	0.291677	−	0.956517i	$-0.405787\pi$
$569$	9.01929	+	0.947966i	0.378108	+	0.0397408i	0.0864318	+	0.996258i	$0.472454\pi$
$570$	2.90504	+	26.6928i	0.121679	+	1.11804i
$571$	−2.12601	−	20.2276i	−0.0889707	−	0.846500i	−0.944448	−	0.328660i	$-0.893403\pi$
$571$	−2.12601	−	20.2276i	−0.0889707	−	0.846500i	0.855478	−	0.517840i	$-0.173264\pi$
$572$	−3.80354	−	9.90857i	−0.159034	−	0.414298i
$573$	−24.1205	−	12.2900i	−1.00765	−	0.513422i
$574$	−3.76575	+	10.7648i	−0.157180	+	0.449312i
$575$	6.17454	+	37.2071i	0.257496	+	1.55165i
$576$	0.291284	+	0.504519i	0.0121368	+	0.0210216i
$577$	−4.69331	−	7.22707i	−0.195385	−	0.300867i	0.727376	−	0.686239i	$-0.240740\pi$
$577$	−4.69331	−	7.22707i	−0.195385	−	0.300867i	−0.922761	+	0.385372i	$0.874073\pi$
$578$	−3.00098	+	3.70590i	−0.124824	+	0.154145i
$579$	−32.9093	−	14.6522i	−1.36767	−	0.608924i
$580$	0.0756819	+	20.5322i	0.00314252	+	0.852552i
$581$	−21.5346	+	1.77766i	−0.893408	+	0.0737499i
$582$	2.22359	−	2.22359i	0.0921707	−	0.0921707i
$583$	−10.3024	+	8.34275i	−0.426684	+	0.345522i
$584$	−3.34909	−	3.71954i	−0.138586	−	0.153915i
$585$	4.89394	+	0.238395i	0.202339	+	0.00985643i
$586$	−19.0920	−	17.1905i	−0.788681	−	0.710132i
$587$	25.2636	−	12.8725i	1.04274	−	0.531303i	0.153218	−	0.988192i	$-0.451036\pi$
$587$	25.2636	−	12.8725i	1.04274	−	0.531303i	0.889524	+	0.456889i	$0.151036\pi$
$588$	8.14358	+	7.22055i	0.335835	+	0.297770i
$589$	6.14857	−	1.99779i	0.253347	−	0.0823175i
$590$	16.7679	−	0.940758i	0.690324	−	0.0387304i
$591$	16.1558	−	14.5467i	0.664560	−	0.598373i
$592$	1.03613	−	2.69921i	0.0425847	−	0.110937i
$593$	−16.6954	−	4.47352i	−0.685598	−	0.183706i	−0.100827	−	0.994904i	$-0.532149\pi$
$593$	−16.6954	−	4.47352i	−0.685598	−	0.183706i	−0.584771	+	0.811198i	$0.698816\pi$
$594$	12.7159	+	9.23864i	0.521740	+	0.379066i
$595$	−8.06124	−	19.0556i	−0.330478	−	0.781203i
$596$	5.13890	−	3.73363i	0.210497	−	0.152935i
$597$	−7.70877	+	2.95912i	−0.315499	+	0.121109i
$598$	23.7951	−	15.4527i	0.973056	−	0.631910i
$599$	−10.5527	−	6.09260i	−0.431171	−	0.248937i	0.268674	−	0.963231i	$-0.413415\pi$
$599$	−10.5527	−	6.09260i	−0.431171	−	0.248937i	−0.699846	+	0.714294i	$0.746748\pi$
$600$	7.12506	+	3.10955i	0.290879	+	0.126947i
$601$		−	30.6377i		−	1.24974i	−0.780730	−	0.624868i	$-0.785153\pi$
$601$		−	30.6377i		−	1.24974i	0.780730	−	0.624868i	$-0.214847\pi$
$602$	−7.15477	+	6.84179i	−0.291607	+	0.278851i
$603$	−1.17312	−	0.185804i	−0.0477732	−	0.00756653i
$604$	−3.99819	+	8.98009i	−0.162684	+	0.365395i
$605$	−2.78567	−	6.19515i	−0.113253	−	0.251869i
$606$	14.1302	−	6.29116i	0.573999	−	0.255561i
$607$	9.94519	−	37.1160i	0.403663	−	1.50649i	−0.402846	−	0.915268i	$-0.631979\pi$
$607$	9.94519	−	37.1160i	0.403663	−	1.50649i	0.806509	−	0.591222i	$-0.201354\pi$
$608$	−7.62796	+	1.20815i	−0.309355	+	0.0489970i
$609$	−4.78715	+	37.4682i	−0.193985	+	1.51829i
$610$	26.1640	−	4.24288i	1.05935	−	0.171789i
$611$	−27.4302	+	30.4643i	−1.10971	+	1.23245i
$612$	0.106631	−	2.03465i	0.00431032	−	0.0822458i
$613$	0.154791	−	2.95359i	0.00625195	−	0.119294i	−0.993721	−	0.111890i	$-0.964310\pi$
$613$	0.154791	−	2.95359i	0.00625195	−	0.119294i	0.999973	−	0.00740461i	$-0.00235698\pi$
$614$	−3.78052	+	4.19869i	−0.152569	+	0.169445i
$615$	−2.28976	+	14.8101i	−0.0923319	+	0.597199i
$616$	−0.946161	+	7.40544i	−0.0381219	+	0.298374i
$617$	30.2184	−	4.78612i	1.21655	−	0.192682i	0.485025	−	0.874500i	$-0.338810\pi$
$617$	30.2184	−	4.78612i	1.21655	−	0.192682i	0.731522	+	0.681818i	$0.238810\pi$
$618$	0.130548	−	0.487213i	0.00525142	−	0.0195986i
$619$	2.64764	−	1.17881i	0.106418	−	0.0473803i	−0.352837	−	0.935685i	$-0.614783\pi$
$619$	2.64764	−	1.17881i	0.106418	−	0.0473803i	0.459255	+	0.888304i	$0.348116\pi$
$620$	0.382422	−	1.83234i	0.0153584	−	0.0735885i
$621$	−17.0899	+	38.3846i	−0.685796	+	1.54032i
$622$	−18.0102	−	2.85253i	−0.722142	−	0.114376i
$623$	−28.0731	+	26.8451i	−1.12473	+	1.07552i
$624$		−	5.84815i		−	0.234113i
$625$	−24.3744	+	5.55776i	−0.974976	+	0.222310i
$626$	12.2351	+	7.06394i	0.489013	+	0.282332i
$627$	−28.4168	+	18.4541i	−1.13486	+	0.736985i
$628$	3.41464	−	1.31076i	0.136259	−	0.0523050i
$629$	−8.18052	+	5.94350i	−0.326179	+	0.236983i
$630$	−2.95208	−	1.77869i	−0.117614	−	0.0708646i
$631$	25.5900	+	18.5922i	1.01872	+	0.740144i	0.966020	−	0.258467i	$-0.0832173\pi$
$631$	25.5900	+	18.5922i	1.01872	+	0.740144i	0.0527001	+	0.998610i	$0.483217\pi$
$632$	14.8965	+	3.99151i	0.592552	+	0.158774i
$633$	5.36225	−	13.9691i	0.213130	−	0.555223i
$634$	−5.18084	+	4.66485i	−0.205757	+	0.185265i
$635$	0.175043	+	0.451027i	0.00694637	+	0.0178984i
$636$	−6.94710	+	2.25725i	−0.275470	+	0.0895057i
$637$	8.32740	+	24.9777i	0.329943	+	0.989654i
$638$	−23.0861	+	11.7630i	−0.913989	+	0.465701i
$639$	−0.328264	−	0.295570i	−0.0129859	−	0.0116926i
$640$	−0.793635	+	2.09049i	−0.0313712	+	0.0826338i
$641$	14.1627	+	15.7293i	0.559393	+	0.621269i	0.954804	−	0.297235i	$-0.0960646\pi$
$641$	14.1627	+	15.7293i	0.559393	+	0.621269i	−0.395411	+	0.918504i	$0.629398\pi$
$642$	14.8687	−	12.0404i	0.586821	−	0.475198i
$643$	−26.2804	+	26.2804i	−1.03640	+	1.03640i	−0.0370857	+	0.999312i	$0.511807\pi$
$643$	−26.2804	+	26.2804i	−1.03640	+	1.03640i	−0.999312	+	0.0370857i	$0.988193\pi$
$644$	−19.8898	+	1.64188i	−0.783767	+	0.0646992i
$645$	−7.60737	+	10.5522i	−0.299540	+	0.415494i
$646$	24.6750	+	10.9860i	0.970824	+	0.432239i
$647$	9.48217	−	11.7095i	0.372783	−	0.460348i	−0.555886	−	0.831258i	$-0.687621\pi$
$647$	9.48217	−	11.7095i	0.372783	−	0.460348i	0.928669	+	0.370910i	$0.120954\pi$
$648$	3.76504	+	5.79765i	0.147905	+	0.227753i
$649$	10.5965	+	18.3538i	0.415951	+	0.720448i
$650$	11.1661	+	15.1330i	0.437972	+	0.593565i
$651$	1.13706	−	3.25039i	0.0445650	−	0.127393i
$652$	−11.1618	−	5.68722i	−0.437130	−	0.222729i
$653$	−9.39451	−	24.4735i	−0.367635	−	0.957723i	−0.985232	−	0.171228i	$-0.945227\pi$
$653$	−9.39451	−	24.4735i	−0.367635	−	0.957723i	0.617596	−	0.786495i	$-0.288107\pi$
$654$	−1.83898	−	17.4967i	−0.0719097	−	0.684175i
$655$	−28.3092	−	31.2085i	−1.10613	−	1.21942i
$656$	−4.28685	−	0.450566i	−0.167374	−	0.0175917i
$657$	2.06180	+	2.06180i	0.0804386	+	0.0804386i
$658$	27.1444	−	9.72927i	1.05820	−	0.379286i
$659$	10.3364	+	3.35849i	0.402648	+	0.130828i	0.503338	−	0.864089i	$-0.332105\pi$
$659$	10.3364	+	3.35849i	0.402648	+	0.130828i	−0.100690	+	0.994918i	$0.532105\pi$
$660$	0.549536	+	9.79484i	0.0213907	+	0.381264i
$661$	−9.23877	+	43.4650i	−0.359346	+	1.69059i	0.312513	+	0.949913i	$0.398829\pi$
$661$	−9.23877	+	43.4650i	−0.359346	+	1.69059i	−0.671860	+	0.740678i	$0.734504\pi$
$662$	−17.1521	−	0.898904i	−0.666635	−	0.0349369i
$663$	−11.1395	+	17.1533i	−0.432622	+	0.666179i
$664$	−2.52375	−	7.76729i	−0.0979404	−	0.301429i
$665$	36.0386	−	28.0858i	1.39752	−	1.08912i
$666$	−0.520492	+	1.60191i	−0.0201687	+	0.0620728i
$667$	−43.5893	−	53.8283i	−1.68779	−	2.08424i
$668$	−4.36168	−	16.2780i	−0.168759	−	0.629816i
$669$	0.464638	+	1.04359i	0.0179639	+	0.0403477i
$670$	−2.29399	−	3.93971i	−0.0886247	−	0.152204i
$671$	19.6604	+	27.0602i	0.758980	+	1.04465i
$672$	−1.94903	+	3.62261i	−0.0751853	+	0.139745i
$673$	21.6731	−	42.5359i	0.835438	−	1.63964i	0.0687358	−	0.997635i	$-0.478103\pi$
$673$	21.6731	−	42.5359i	0.835438	−	1.63964i	0.766702	−	0.642004i	$-0.221897\pi$
$674$	0.404940	−	0.233792i	0.0155977	−	0.00900534i
$675$	−26.0741	−	9.78897i	−1.00359	−	0.376778i
$676$	0.573800	−	0.993850i	0.0220692	−	0.0382250i
$677$	−39.3166	+	2.06050i	−1.51106	+	0.0791913i	−0.789753	−	0.613425i	$-0.789791\pi$
$677$	−39.3166	+	2.06050i	−1.51106	+	0.0791913i	−0.721306	+	0.692616i	$0.756458\pi$
$678$	1.97908	−	12.4954i	0.0760060	−	0.479883i
$679$	−5.20797	−	1.22929i	−0.199863	−	0.0471757i
$680$	6.30977	−	4.61994i	0.241968	−	0.177167i
$681$	−2.77209	+	26.3747i	−0.106227	+	1.01068i
$682$	2.28161	−	0.611354i	0.0873672	−	0.0234100i
$683$	23.9485	+	9.19297i	0.916364	+	0.351759i	0.770422	−	0.637534i	$-0.220045\pi$
$683$	23.9485	+	9.19297i	0.916364	+	0.351759i	0.145942	+	0.989293i	$0.453379\pi$
$684$	4.40088	−	0.935437i	0.168272	−	0.0357673i
$685$	1.18079	+	1.17211i	0.0451155	+	0.0447841i
$686$	3.16601	−	18.2476i	0.120879	−	0.696698i
$687$	−7.66996	−	15.0531i	−0.292627	−	0.574313i
$688$	−3.13803	−	2.03786i	−0.119636	−	0.0776927i
$689$	−17.2849	−	3.67401i	−0.658500	−	0.139969i
$690$	−25.3063	+	6.88089i	−0.963396	+	0.261951i
$691$	0.102861	+	0.483924i	0.00391302	+	0.0184093i	0.980061	−	0.198698i	$-0.0636712\pi$
$691$	0.102861	+	0.483924i	0.00391302	+	0.0184093i	−0.976148	+	0.217107i	$0.930338\pi$
$692$	1.03227	+	6.51751i	0.0392411	+	0.247759i
$693$	0.324662	−	4.33711i	0.0123329	−	0.164753i
$694$	−3.61576	+	4.97666i	−0.137252	+	0.188912i
$695$	1.54350	−	3.50143i	0.0585481	−	0.132817i
$696$	−14.1986	+	1.49233i	−0.538195	+	0.0565666i
$697$	11.7156	+	9.48712i	0.443760	+	0.359350i
$698$	0.0569944	+	1.08752i	0.00215727	+	0.0411632i
$699$	12.3065			0.465474
$700$	−1.87341	−	13.0954i	−0.0708082	−	0.494961i
$701$	20.1822			0.762273			0.381136	−	0.924519i	$-0.375533\pi$
$701$	20.1822			0.762273			0.381136	+	0.924519i	$0.375533\pi$
$702$	1.09651	+	20.9227i	0.0413852	+	0.789676i
$703$	−17.3531	−	14.0522i	−0.654483	−	0.529990i
$704$	−2.80629	+	0.294953i	−0.105766	+	0.0111164i
$705$	32.7447	−	19.0664i	1.23324	−	0.718083i
$706$	9.06924	−	12.4827i	0.341325	−	0.469794i
$707$	−21.7480	−	14.8249i	−0.817918	−	0.557548i
$708$	1.82678	+	11.5338i	0.0686546	+	0.433468i
$709$	2.66540	+	12.5397i	0.100101	+	0.470939i	0.999433	+	0.0336719i	$0.0107201\pi$
$709$	2.66540	+	12.5397i	0.100101	+	0.470939i	−0.899332	+	0.437267i	$0.855947\pi$
$710$	0.0824921	−	1.69345i	0.00309587	−	0.0635542i
$711$	−8.78805	−	1.86796i	−0.329578	−	0.0700539i
$712$	−12.3127	−	7.99594i	−0.461437	−	0.299660i
$713$	2.86670	+	5.62621i	0.107359	+	0.210703i
$714$	12.6170	−	6.91307i	0.472181	−	0.258715i
$715$	−10.6963	+	21.1854i	−0.400020	+	0.792289i
$716$	24.4548	−	5.19803i	0.913920	−	0.194260i
$717$	−2.42501	−	0.930872i	−0.0905635	−	0.0347641i
$718$	7.64752	−	2.04915i	0.285403	−	0.0764735i
$719$	2.07134	−	19.7075i	0.0772479	−	0.734965i	−0.885514	−	0.464613i	$-0.846193\pi$
$719$	2.07134	−	19.7075i	0.0772479	−	0.734965i	0.962762	−	0.270352i	$-0.0871400\pi$
$720$	0.397975	−	1.24038i	0.0148317	−	0.0462263i
$721$	−0.822031	+	0.246919i	−0.0306140	+	0.00919573i
$722$	−6.35834	+	40.1450i	−0.236633	+	1.49404i
$723$	−21.1718	+	1.10957i	−0.787387	+	0.0412652i
$724$	5.60636	−	9.71049i	0.208359	−	0.360888i
$725$	33.8916	−	30.9716i	1.25870	−	1.15025i
$726$	4.09035	−	2.36157i	0.151807	−	0.0876459i
$727$	−0.976909	+	1.91729i	−0.0362316	+	0.0711085i	−0.908413	−	0.418075i	$-0.862705\pi$
$727$	−0.976909	+	1.91729i	−0.0362316	+	0.0711085i	0.872181	+	0.489183i	$0.162705\pi$
$728$	−8.46515	+	5.23206i	−0.313739	+	0.193913i
$729$	−17.6389	−	24.2779i	−0.653292	−	0.899180i
$730$	−1.12883	+	11.1347i	−0.0417798	+	0.412115i
$731$	5.32252	+	11.9546i	0.196860	+	0.442156i
$732$	4.77011	+	17.8023i	0.176308	+	0.657992i
$733$	−17.5368	−	21.6562i	−0.647738	−	0.799890i	0.342464	−	0.939531i	$-0.388739\pi$
$733$	−17.5368	−	21.6562i	−0.647738	−	0.799890i	−0.990202	+	0.139641i	$0.955405\pi$
$734$	−1.87138	+	5.75950i	−0.0690737	+	0.212587i
$735$	−0.275750	−	24.3351i	−0.0101712	−	0.897612i
$736$	−2.33098	−	7.17401i	−0.0859210	−	0.264438i
$737$	3.13331	−	4.82487i	0.115417	−	0.177726i
$738$	2.50770	+	0.131423i	0.0923097	+	0.00483775i
$739$	4.45941	−	20.9799i	0.164042	−	0.771756i	−0.816795	−	0.576927i	$-0.804252\pi$
$739$	4.45941	−	20.9799i	0.164042	−	0.771756i	0.980837	−	0.194829i	$-0.0624151\pi$
$740$	−6.02704	+	2.33909i	−0.221558	+	0.0859866i
$741$	−42.9550	−	13.9569i	−1.57799	−	0.512720i
$742$	9.48259	+	8.03641i	0.348117	+	0.295026i
$743$	14.5338	+	14.5338i	0.533194	+	0.533194i	0.921522	−	0.388327i	$-0.126947\pi$
$743$	14.5338	+	14.5338i	0.533194	+	0.533194i	−0.388327	+	0.921522i	$0.626947\pi$
$744$	1.29441	+	0.136048i	0.0474552	+	0.00498775i
$745$	−13.9040	−	2.90186i	−0.509402	−	0.106316i
$746$	0.762175	+	7.25162i	0.0279052	+	0.265500i
$747$	1.70506	+	4.44183i	0.0623849	+	0.162518i
$748$	8.79299	+	4.48025i	0.321504	+	0.163814i
$749$	−30.7307	−	10.7503i	−1.12288	−	0.392808i
$750$	−5.55422	−	16.4721i	−0.202811	−	0.601476i
$751$	−1.99057	−	3.44776i	−0.0726368	−	0.125811i	0.827419	−	0.561585i	$-0.189808\pi$
$751$	−1.99057	−	3.44776i	−0.0726368	−	0.125811i	−0.900056	+	0.435774i	$0.856475\pi$
$752$	5.93588	+	9.14045i	0.216459	+	0.333318i
$753$	1.57943	−	1.95044i	0.0575577	−	0.0710778i
$754$	−31.5518	−	14.0478i	−1.14905	−	0.511590i
$755$	20.8794	−	6.86932i	0.759880	−	0.250000i
$756$	6.29372	−	13.3259i	0.228900	−	0.484659i
$757$	0.299719	−	0.299719i	0.0108935	−	0.0108935i	−0.701639	−	0.712533i	$-0.747548\pi$
$757$	0.299719	−	0.299719i	0.0108935	−	0.0108935i	0.712533	+	0.701639i	$0.247548\pi$
$758$	−17.8361	+	14.4434i	−0.647836	+	0.524607i
$759$	−22.1443	−	24.5937i	−0.803786	−	0.892695i
$760$	13.4607	+	10.8184i	0.488271	+	0.392423i
$761$	31.5011	+	28.3637i	1.14191	+	1.02818i	0.999262	+	0.0384110i	$0.0122296\pi$
$761$	31.5011	+	28.3637i	1.14191	+	1.02818i	0.142652	+	0.989773i	$0.454437\pi$
$762$	−0.299738	+	0.152724i	−0.0108583	+	0.00553261i
$763$	−23.6811	+	18.3154i	−0.857313	+	0.663061i
$764$	−16.5590	+	5.38035i	−0.599084	+	0.194654i
$765$	−3.52997	+	2.88012i	−0.127626	+	0.104131i
$766$	−9.37786	+	8.44386i	−0.338836	+	0.305089i
$767$	−10.1239	+	26.3736i	−0.365552	+	0.952296i
$768$	−1.50183	−	0.402414i	−0.0541926	−	0.0145209i
$769$	19.2276	+	13.9696i	0.693364	+	0.503758i	0.877764	−	0.479093i	$-0.159034\pi$
$769$	19.2276	+	13.9696i	0.693364	+	0.503758i	−0.184400	+	0.982851i	$0.559034\pi$
$770$	13.6863	−	9.55843i	0.493220	−	0.344462i
$771$	−19.0642	+	13.8509i	−0.686579	+	0.498829i
$772$	−21.6303	+	8.30311i	−0.778493	+	0.298836i
$773$	−23.1679	+	15.0454i	−0.833292	+	0.541146i	−0.889321	−	0.457283i	$-0.848823\pi$
$773$	−23.1679	+	15.0454i	−0.833292	+	0.541146i	0.0560294	+	0.998429i	$0.482156\pi$
$774$	1.88775	+	1.08989i	0.0678536	+	0.0391753i
$775$	−3.60924	+	2.11942i	−0.129648	+	0.0761319i
$776$		−	2.02252i		−	0.0726042i
$777$	−11.5542	+	2.82068i	−0.414506	+	0.101191i
$778$	25.3122	+	4.00905i	0.907485	+	0.143732i
$779$	−13.5402	+	30.4119i	−0.485129	+	1.08962i
$780$	−9.68568	+	8.78589i	−0.346803	+	0.314585i
$781$	1.95457	−	0.870230i	0.0699400	−	0.0311393i
$782$	−6.82794	+	25.4822i	−0.244167	+	0.911243i
$783$	50.5178	−	8.00123i	1.80536	−	0.285941i
$784$	6.98740	−	0.419781i	0.249550	−	0.0149922i
$785$	−7.30081	−	3.68612i	−0.260577	−	0.131563i
$786$	19.6042	−	21.7726i	0.699258	−	0.776605i
$787$	−1.24821	+	23.8173i	−0.0444939	+	0.848995i	0.881668	+	0.471870i	$0.156421\pi$
$787$	−1.24821	+	23.8173i	−0.0444939	+	0.848995i	−0.926162	+	0.377125i	$0.876913\pi$
$788$	0.731775	−	13.9631i	0.0260684	−	0.497415i
$789$	7.74260	−	8.59903i	0.275644	−	0.306134i
$790$	−15.7689	−	30.6682i	−0.561031	−	1.09112i
$791$	−19.8576	+	8.31435i	−0.706054	+	0.295624i
$792$	1.62362	−	0.257156i	0.0576928	−	0.00913765i
$793$	−11.5397	+	43.0666i	−0.409785	+	1.52934i
$794$	−17.6654	+	7.86512i	−0.626920	+	0.279123i
$795$	14.1753	+	8.11461i	0.502747	+	0.287795i
$796$	−2.16008	+	4.85162i	−0.0765620	+	0.171961i
$797$	−46.7652	−	7.40688i	−1.65651	−	0.262365i	−0.743032	−	0.669256i	$-0.766613\pi$
$797$	−46.7652	−	7.40688i	−1.65651	−	0.262365i	−0.913477	+	0.406891i	$0.866613\pi$
$798$	21.9568	+	22.9612i	0.777263	+	0.812819i
$799$		−	38.1166i		−	1.34847i
$800$	4.65457	−	1.82620i	0.164564	−	0.0645660i
$801$	7.40693	+	4.27639i	0.261711	+	0.151099i
$802$	9.41989	−	6.11735i	0.332628	−	0.216011i
$803$	−13.1851	+	5.06130i	−0.465293	+	0.178609i
$804$	2.56455	−	1.86325i	0.0904447	−	0.0657119i
$805$	32.6004	+	30.4747i	1.14901	+	1.07409i
$806$	2.54729	+	1.85071i	0.0897244	+	0.0651886i
$807$	24.5529	+	6.57894i	0.864304	+	0.231590i
$808$	3.56508	−	9.28736i	0.125419	−	0.326728i
$809$	11.3649	−	10.2330i	0.399569	−	0.359773i	−0.444713	−	0.895673i	$-0.646694\pi$
$809$	11.3649	−	10.2330i	0.399569	−	0.359773i	0.844282	+	0.535900i	$0.180028\pi$
$810$	3.94569	−	14.9457i	0.138638	−	0.525137i
$811$	13.0785	−	4.24947i	0.459249	−	0.149219i	−0.0702506	−	0.997529i	$-0.522380\pi$
$811$	13.0785	−	4.24947i	0.459249	−	0.149219i	0.529499	+	0.848310i	$0.322380\pi$
$812$	14.8629	+	19.2172i	0.521586	+	0.674391i
$813$	0.770935	−	0.392811i	0.0270379	−	0.0137765i
$814$	−6.06284	−	5.45901i	−0.212503	−	0.191338i
$815$	7.34962	+	27.0302i	0.257446	+	0.946828i
$816$	3.63853	+	4.04100i	0.127374	+	0.141463i
$817$	−22.4573	+	18.1855i	−0.785680	+	0.636232i
$818$	8.91392	−	8.91392i	0.311668	−	0.311668i
$819$	4.76525	−	3.30195i	0.166511	−	0.115380i
$820$	5.69407	+	7.77677i	0.198846	+	0.271577i
$821$	37.4706	+	16.6830i	1.30773	+	0.582241i	0.937916	−	0.346863i	$-0.112753\pi$
$821$	37.4706	+	16.6830i	1.30773	+	0.582241i	0.369818	+	0.929104i	$0.379420\pi$
$822$	−0.728039	+	0.899054i	−0.0253933	+	0.0313581i
$823$	25.6226	+	39.4554i	0.893148	+	1.37533i	0.926665	+	0.375889i	$0.122663\pi$
$823$	25.6226	+	39.4554i	0.893148	+	1.37533i	−0.0335165	+	0.999438i	$0.510671\pi$
$824$	−0.162206	−	0.280949i	−0.00565072	−	0.00978734i
$825$	15.3966	−	15.6253i	0.536040	−	0.544003i
$826$	15.0608	−	12.9630i	0.524032	−	0.451041i
$827$	2.56356	+	1.30620i	0.0891436	+	0.0454209i	0.497994	−	0.867181i	$-0.334070\pi$
$827$	2.56356	+	1.30620i	0.0891436	+	0.0454209i	−0.408850	+	0.912601i	$0.634070\pi$
$828$	1.57482	+	4.10255i	0.0547289	+	0.142574i
$829$	5.49105	+	52.2439i	0.190712	+	1.81450i	0.502747	+	0.864433i	$0.332323\pi$
$829$	5.49105	+	52.2439i	0.190712	+	1.81450i	−0.312035	+	0.950071i	$0.601011\pi$
$830$	−9.07264	+	15.8489i	−0.314916	+	0.550124i
$831$	39.6445	+	4.16680i	1.37525	+	0.144545i
$832$	−2.65966	−	2.65966i	−0.0922072	−	0.0922072i
$833$	−21.2945	−	12.0783i	−0.737810	−	0.418487i
$834$	2.53049	+	0.822205i	0.0876236	+	0.0284706i
$835$	−20.4069	+	31.6789i	−0.706209	+	1.09629i
$836$	−4.53091	+	21.3162i	−0.156705	+	0.737238i
$837$	−4.65645	−	0.244034i	−0.160951	−	0.00843506i
$838$	0.196891	−	0.303185i	0.00680148	−	0.0104734i
$839$	8.92005	+	27.4531i	0.307954	+	0.947786i	0.978558	+	0.205970i	$0.0660350\pi$
$839$	8.92005	+	27.4531i	0.307954	+	0.947786i	−0.670604	+	0.741815i	$0.733965\pi$
$840$	8.92785	−	2.21441i	0.308040	−	0.0764045i
$841$	−17.0933	+	52.6078i	−0.589424	+	1.81406i
$842$	−19.7659	−	24.4089i	−0.681180	−	0.841187i
$843$	−6.86374	−	25.6158i	−0.236400	−	0.882256i
$844$	−3.91430	−	8.79166i	−0.134736	−	0.302621i
$845$	−2.50805	+	0.542773i	−0.0862796	+	0.0186719i
$846$	−3.73200	−	5.13666i	−0.128309	−	0.176602i
$847$	−7.07779	−	3.80797i	−0.243196	−	0.130843i
$848$	−2.13288	+	4.18602i	−0.0732434	+	0.143748i
$849$	19.0178	−	10.9799i	0.652688	−	0.376830i
$850$	−17.1309	−	3.50950i	−0.587586	−	0.120375i
$851$	10.9046	−	18.8874i	0.373806	−	0.647451i
$852$	1.17729	−	0.0616993i	0.0403334	−	0.00211378i
$853$	0.762744	−	4.81577i	0.0261158	−	0.164889i	−0.971183	−	0.238333i	$-0.923399\pi$
$853$	0.762744	−	4.81577i	0.0261158	−	0.164889i	0.997299	+	0.0734440i	$0.0233990\pi$
$854$	21.5011	−	22.8316i	0.735752	−	0.781280i
$855$	−8.16087	−	5.88338i	−0.279096	−	0.201208i
$856$	1.28626	−	12.2379i	0.0439634	−	0.418283i
$857$	−27.2262	+	7.29525i	−0.930030	+	0.249201i	−0.691868	−	0.722024i	$-0.743212\pi$
$857$	−27.2262	+	7.29525i	−0.930030	+	0.249201i	−0.238163	+	0.971225i	$0.576545\pi$
$858$	−15.4059	−	5.91378i	−0.525950	−	0.201893i
$859$	−22.9860	+	4.88583i	−0.784274	+	0.166702i	−0.582609	−	0.812752i	$-0.697968\pi$
$859$	−22.9860	+	4.88583i	−0.784274	+	0.166702i	−0.201664	+	0.979455i	$0.564635\pi$
$860$	1.33928	+	8.25875i	0.0456691	+	0.281621i
$861$	8.52034	+	15.5505i	0.290372	+	0.529959i
$862$	3.20142	+	6.28314i	0.109041	+	0.214004i
$863$	−20.0864	−	13.0443i	−0.683749	−	0.444032i	0.155459	−	0.987842i	$-0.450314\pi$
$863$	−20.0864	−	13.0443i	−0.683749	−	0.444032i	−0.839208	+	0.543810i	$0.816981\pi$
$864$	5.44849	+	1.15811i	0.185361	+	0.0393998i
$865$	9.24346	−	11.5011i	0.314287	−	0.391051i
$866$	−0.269621	−	1.26847i	−0.00916210	−	0.0431043i
$867$	1.15985	+	7.32298i	0.0393904	+	0.248701i
$868$	−0.961116	−	1.99536i	−0.0326224	−	0.0677268i
$869$	25.5786	−	35.2060i	0.867696	−	1.19428i
$870$	23.8026	+	21.2736i	0.806984	+	0.721243i
$871$	7.62662	−	0.801590i	0.258418	−	0.0271608i
$872$	−8.79362	−	7.12093i	−0.297789	−	0.241145i
$873$	0.0616651	+	1.17664i	0.00208705	+	0.0398232i
$874$	−58.2565			−1.97055
$875$	−18.8741	+	22.7765i	−0.638061	+	0.769986i
$876$	−7.78202			−0.262930
$877$	1.21402	+	23.1649i	0.0409946	+	0.782224i	0.939351	+	0.342957i	$0.111429\pi$
$877$	1.21402	+	23.1649i	0.0409946	+	0.782224i	−0.898356	+	0.439267i	$0.855238\pi$
$878$	19.0801	+	15.4507i	0.643921	+	0.521437i
$879$	−39.7254	+	4.17531i	−1.33990	+	0.140830i
$880$	4.70449	+	4.20464i	0.158588	+	0.141738i
$881$	24.6533	−	33.9323i	0.830590	−	1.14321i	−0.157223	−	0.987563i	$-0.550254\pi$
$881$	24.6533	−	33.9323i	0.830590	−	1.14321i	0.987813	−	0.155645i	$-0.0497457\pi$
$882$	−4.05226	+	0.457257i	−0.136447	+	0.0153966i
$883$	3.71574	+	23.4603i	0.125045	+	0.789501i	0.967895	+	0.251353i	$0.0808756\pi$
$883$	3.71574	+	23.4603i	0.125045	+	0.789501i	−0.842851	+	0.538147i	$0.819124\pi$
$884$	2.73501	+	12.8672i	0.0919882	+	0.432771i
$885$	16.3579	−	20.3532i	0.549863	−	0.684165i
$886$	−1.01627	−	0.216016i	−0.0341424	−	0.00725719i
$887$	17.7745	+	11.5429i	0.596808	+	0.387571i	0.807402	−	0.590002i	$-0.200873\pi$
$887$	17.7745	+	11.5429i	0.596808	+	0.387571i	−0.210594	+	0.977574i	$0.567540\pi$
$888$	−2.04084	−	4.00537i	−0.0684861	−	0.134412i
$889$	0.489228	+	0.297233i	0.0164082	+	0.00996887i
$890$	5.25492	+	32.4048i	0.176145	+	1.08621i
$891$	19.0802	−	4.05562i	0.639211	−	0.135868i
$892$	0.685924	+	0.263302i	0.0229664	+	0.00881599i
$893$	81.3034	−	21.7852i	2.72071	−	0.729013i
$894$	1.03234	−	9.82209i	0.0345267	−	0.328500i
$895$	−45.3483	−	32.6928i	−1.51583	−	1.09280i
$896$	0.761125	+	2.53391i	0.0254274	+	0.0846519i
$897$	6.90091	−	43.5707i	0.230415	−	1.45478i
$898$	13.9801	−	0.732664i	0.466520	−	0.0244493i
$899$	3.84328	−	6.65675i	0.128180	−	0.222015i
$900$	−2.65221	+	1.20434i	−0.0884069	+	0.0401448i
$901$	14.2295	−	8.21539i	0.474052	−	0.273694i
$902$	−5.52190	+	10.8373i	−0.183859	+	0.360844i
$903$	0.461724	+	15.3850i	0.0153652	+	0.511980i
$904$	−4.78269	−	6.58280i	−0.159070	−	0.218941i
$905$	−24.5051	+	5.30320i	−0.814577	+	0.176284i
$906$	6.21643	+	13.9623i	0.206527	+	0.463867i
$907$	10.3990	+	38.8096i	0.345293	+	1.28865i	0.892269	+	0.451503i	$0.149112\pi$
$907$	10.3990	+	38.8096i	0.345293	+	1.28865i	−0.546976	+	0.837148i	$0.684221\pi$
$908$	10.7342	+	13.2556i	0.356225	+	0.439902i
$909$	−1.79089	+	5.51180i	−0.0594002	+	0.182815i
$910$	21.3828	+	6.15963i	0.708834	+	0.204190i
$911$	3.82341	+	11.7672i	0.126675	+	0.389866i	0.994203	−	0.107523i	$-0.0342921\pi$
$911$	3.82341	+	11.7672i	0.126675	+	0.389866i	−0.867527	+	0.497389i	$0.834292\pi$
$912$	−6.53995	+	10.0706i	−0.216559	+	0.333472i
$913$	−23.0137	−	1.20609i	−0.761641	−	0.0399159i
$914$	2.48734	−	11.7020i	0.0822740	−	0.387069i
$915$	22.3178	−	34.6453i	0.737803	−	1.14534i
$916$	−10.3342	−	3.35777i	−0.341450	−	0.110944i
$917$	−49.0547	−	8.89793i	−1.61993	−	0.293835i
$918$	−13.7751	−	13.7751i	−0.454646	−	0.454646i
$919$	47.9300	+	5.03765i	1.58107	+	0.166177i	0.853956	−	0.520344i	$-0.174196\pi$
$919$	47.9300	+	5.03765i	1.58107	+	0.166177i	0.727110	+	0.686521i	$0.240863\pi$
$920$	−8.37965	+	14.6383i	−0.276269	+	0.482611i
$921$	0.918231	+	8.73638i	0.0302567	+	0.287874i
$922$	−2.74489	−	7.15069i	−0.0903983	−	0.235496i
$923$	2.54112	+	1.29477i	0.0836420	+	0.0426177i
$924$	7.57224	+	8.79764i	0.249108	+	0.289421i
$925$	12.9286	+	6.46786i	0.425091	+	0.212662i
$926$	9.97423	+	17.2759i	0.327774	+	0.567721i
$927$	0.102933	+	0.158502i	0.00338075	+	0.00520590i
$928$	−5.77862	+	7.13601i	−0.189693	+	0.234251i
$929$	43.8302	+	19.5145i	1.43802	+	0.640249i	0.969920	−	0.243425i	$-0.0782709\pi$
$929$	43.8302	+	19.5145i	1.43802	+	0.640249i	0.468103	+	0.883674i	$0.344938\pi$
$930$	−1.71931	−	2.34818i	−0.0563785	−	0.0769998i
$931$	13.5925	−	52.3247i	0.445476	−	1.71487i
$932$	5.59682	−	5.59682i	0.183330	−	0.183330i
$933$	−22.0332	+	17.8421i	−0.721334	+	0.584125i
$934$	−21.5867	−	23.9745i	−0.706340	−	0.784470i
$935$	−5.78986	−	21.2938i	−0.189349	−	0.696381i
$936$	1.62840	+	1.46622i	0.0532260	+	0.0479249i
$937$	7.60837	−	3.87666i	0.248555	−	0.126645i	−0.325275	−	0.945619i	$-0.605457\pi$
$937$	7.60837	−	3.87666i	0.248555	−	0.126645i	0.573830	+	0.818974i	$0.305457\pi$
$938$	−4.99143	−	2.04520i	−0.162976	−	0.0667781i
$939$	20.8911	−	6.78792i	0.681754	−	0.221515i
$940$	6.22069	−	23.5630i	0.202897	−	0.768541i
$941$	40.3079	−	36.2934i	1.31400	−	1.18313i	0.344290	−	0.938863i	$-0.388120\pi$
$941$	40.3079	−	36.2934i	1.31400	−	1.18313i	0.969708	−	0.244266i	$-0.0785471\pi$
$942$	2.03798	−	5.30912i	0.0664010	−	0.172980i
$943$	−31.4068	−	8.41543i	−1.02275	−	0.274044i
$944$	6.07623	+	4.41464i	0.197764	+	0.143684i
$945$	−31.5256	+	9.59636i	−1.02553	+	0.312170i
$946$	−8.54164	+	6.20586i	−0.277713	+	0.201770i
$947$	19.8112	−	7.60479i	0.643776	−	0.247122i	−0.0145049	−	0.999895i	$-0.504617\pi$
$947$	19.8112	−	7.60479i	0.643776	−	0.247122i	0.658281	+	0.752772i	$0.271284\pi$
$948$	20.1099	−	13.0595i	0.653139	−	0.424153i
$949$	−16.3037	−	9.41297i	−0.529242	−	0.305558i
$950$	−2.30519	−	38.5464i	−0.0747902	−	1.25061i
$951$			10.8394i			0.351490i
$952$	2.59409	−	8.88203i	0.0840749	−	0.287868i
$953$	−45.9802	−	7.28255i	−1.48945	−	0.235905i	−0.641966	−	0.766733i	$-0.721881\pi$
$953$	−45.9802	−	7.28255i	−1.48945	−	0.235905i	−0.847480	+	0.530828i	$0.821881\pi$
$954$	1.11322	−	2.50033i	0.0360418	−	0.0809511i
$955$	33.7881	+	19.3419i	1.09336	+	0.625889i
$956$	−1.52621	+	0.679512i	−0.0493611	+	0.0219770i
$957$	−10.4266	+	38.9127i	−0.337045	+	1.25787i
$958$	−2.21405	+	0.350671i	−0.0715327	+	0.0113297i
$959$	1.95272	+	0.249490i	0.0630565	+	0.00805646i
$960$	1.58978	+	3.09189i	0.0513099	+	0.0997902i
$961$	20.2742	−	22.5167i	0.654005	−	0.726346i
$962$	0.569150	−	10.8600i	0.0183501	−	0.350141i
$963$	−0.375180	+	7.15887i	−0.0120900	+	0.230691i
$964$	−9.12403	+	10.1333i	−0.293865	+	0.326370i
$965$	46.2476	+	23.3500i	1.48876	+	0.751664i
$966$	−18.7956	+	24.6898i	−0.604739	+	0.794381i
$967$	−40.5135	+	6.41671i	−1.30283	+	0.206347i	−0.769001	−	0.639247i	$-0.779246\pi$
$967$	−40.5135	+	6.41671i	−1.30283	+	0.206347i	−0.533825	+	0.845595i	$0.679246\pi$
$968$	0.786229	−	2.93425i	0.0252704	−	0.0943103i
$969$	38.3649	−	17.0811i	1.23246	−	0.548726i
$970$	−3.34969	+	3.03850i	−0.107552	+	0.0975604i
$971$	19.1246	−	42.9544i	0.613736	−	1.37847i	−0.292730	−	0.956195i	$-0.594564\pi$
$971$	19.1246	−	42.9544i	0.613736	−	1.37847i	0.906466	−	0.422279i	$-0.138770\pi$
$972$	−5.88897	−	0.932721i	−0.188889	−	0.0299170i
$973$	−1.07377	−	4.39844i	−0.0344235	−	0.141008i
$974$			11.0876i			0.355269i
$975$	29.1023	+	2.84203i	0.932020	+	0.0910177i
$976$	10.2656	+	5.92687i	0.328595	+	0.189714i
$977$	−7.49463	+	4.86707i	−0.239774	+	0.155711i	−0.658933	−	0.752202i	$-0.728992\pi$
$977$	−7.49463	+	4.86707i	−0.239774	+	0.155711i	0.419158	+	0.907913i	$0.362325\pi$
$978$	−18.1837	+	6.98006i	−0.581450	+	0.223198i
$979$	−33.5147	+	24.3499i	−1.07114	+	0.778226i
$980$	−11.1927	−	10.9419i	−0.357537	−	0.349525i
$981$	5.33297	+	3.87463i	0.170269	+	0.123707i
$982$	−32.6681	−	8.75339i	−1.04248	−	0.279332i
$983$	12.0841	−	31.4802i	0.385423	−	1.00406i	−0.594396	−	0.804173i	$-0.702609\pi$
$983$	12.0841	−	31.4802i	0.385423	−	1.00406i	0.979819	−	0.199889i	$-0.0640580\pi$
$984$	−4.98052	+	4.48448i	−0.158773	+	0.142960i
$985$	−24.2250	+	19.7653i	−0.771873	+	0.629776i
$986$	30.5420	−	9.92369i	0.972655	−	0.316035i
$987$	16.9986	−	41.4860i	0.541071	−	1.32051i
$988$	−25.8828	+	13.1879i	−0.823441	+	0.419564i
$989$	−20.9747	−	18.8857i	−0.666955	−	0.600529i
$990$	−2.86513	−	2.30270i	−0.0910597	−	0.0731846i
$991$	−11.1468	−	12.3798i	−0.354090	−	0.393257i	0.539615	−	0.841912i	$-0.318570\pi$
$991$	−11.1468	−	12.3798i	−0.354090	−	0.393257i	−0.893705	+	0.448655i	$0.851903\pi$
$992$	0.650552	−	0.526806i	0.0206550	−	0.0167261i
$993$	−18.8832	+	18.8832i	−0.599240	+	0.599240i
$994$	−1.14258	−	1.64892i	−0.0362404	−	0.0523006i
$995$	11.2804	−	3.71125i	0.357613	−	0.117654i
$996$	−11.6003	−	5.16480i	−0.367571	−	0.163653i
$997$	24.1693	−	29.8466i	0.765450	−	0.945252i	−0.234187	−	0.972192i	$-0.575243\pi$
$997$	24.1693	−	29.8466i	0.765450	−	0.945252i	0.999637	+	0.0269394i	$0.00857613\pi$
$998$	−24.0806	−	37.0809i	−0.762259	−	1.17378i
$999$	8.05243	+	13.9472i	0.254767	+	0.441270i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	350.2.x.a.283.4	yes	320
7.5	odd	6	inner	350.2.x.a.33.4	✓	320
25.22	odd	20	inner	350.2.x.a.297.4	yes	320
175.47	even	60	inner	350.2.x.a.47.4	yes	320

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
350.2.x.a.33.4	✓	320	7.5	odd	6	inner
350.2.x.a.47.4	yes	320	175.47	even	60	inner
350.2.x.a.283.4	yes	320	1.1	even	1	trivial
350.2.x.a.297.4	yes	320	25.22	odd	20	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:	\( N \)	\(=\)	\( 350 = 2 \cdot 5^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	350.x (of order \(60\), degree \(16\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.0523360 - 0.998630i) q^{2} +(-1.20831 - 0.978473i) q^{3} +(-0.994522 + 0.104528i) q^{4} +(1.66723 + 1.49009i) q^{5} +(-0.913894 + 1.25787i) q^{6} +(2.63837 + 0.197500i) q^{7} +(0.156434 + 0.987688i) q^{8} +(-0.121123 - 0.569838i) q^{9} +(1.40079 - 1.74293i) q^{10} +(2.76008 + 0.586674i) q^{11} +(1.30397 + 0.846810i) q^{12} +(1.70761 + 3.35137i) q^{13} +(0.0591474 - 2.64509i) q^{14} +(-0.556523 - 3.43183i) q^{15} +(0.978148 - 0.207912i) q^{16} +(-3.26505 - 1.25334i) q^{17} +(-0.562718 + 0.150780i) q^{18} +(0.807278 - 7.68074i) q^{19} +(-1.81385 - 1.30765i) q^{20} +(-2.99473 - 2.82022i) q^{21} +(0.441418 - 2.78700i) q^{22} +(7.53286 - 0.394781i) q^{23} +(0.777405 - 1.34650i) q^{24} +(0.559286 + 4.96862i) q^{25} +(3.25741 - 1.88066i) q^{26} +(-2.52882 + 4.96309i) q^{27} +(-2.64456 + 0.0793670i) q^{28} +(-5.39724 - 7.42866i) q^{29} +(-3.39800 + 0.735368i) q^{30} +(0.340481 + 0.764732i) q^{31} +(-0.258819 - 0.965926i) q^{32} +(-2.76100 - 3.40955i) q^{33} +(-1.08074 + 3.32617i) q^{34} +(4.10447 + 4.26067i) q^{35} +(0.180024 + 0.554055i) q^{36} +(1.57469 - 2.42480i) q^{37} +(-7.71246 - 0.404193i) q^{38} +(1.21590 - 5.72035i) q^{39} +(-1.21093 + 1.87980i) q^{40} +(-4.09950 - 1.33201i) q^{41} +(-2.65962 + 3.13822i) q^{42} +(-2.64576 - 2.64576i) q^{43} +(-2.80629 - 0.294953i) q^{44} +(0.647168 - 1.13053i) q^{45} +(-0.788479 - 7.50188i) q^{46} +(3.90576 + 10.1749i) q^{47} +(-1.38535 - 0.705869i) q^{48} +(6.92199 + 1.04215i) q^{49} +(4.93254 - 0.818557i) q^{50} +(2.71885 + 4.70919i) q^{51} +(-2.04857 - 3.15452i) q^{52} +(-2.95659 + 3.65109i) q^{53} +(5.08864 + 2.26561i) q^{54} +(3.72749 + 5.09088i) q^{55} +(0.217664 + 2.63678i) q^{56} +(-8.49084 + 8.49084i) q^{57} +(-7.13601 + 5.77862i) q^{58} +(5.02560 + 5.58149i) q^{59} +(0.912198 + 3.35486i) q^{60} +(8.80904 + 7.93170i) q^{61} +(0.745865 - 0.380037i) q^{62} +(-0.207024 - 1.52736i) q^{63} +(-0.951057 + 0.309017i) q^{64} +(-2.14686 + 8.13197i) q^{65} +(-3.26038 + 2.93566i) q^{66} +(0.730643 - 1.90339i) q^{67} +(3.37817 + 0.905179i) q^{68} +(-9.48834 - 6.89368i) q^{69} +(4.04002 - 4.32183i) q^{70} +(0.613424 - 0.445679i) q^{71} +(0.543874 - 0.208774i) q^{72} +(-4.19765 + 2.72599i) q^{73} +(-2.50389 - 1.44562i) q^{74} +(4.18587 - 6.55090i) q^{75} +7.72304i q^{76} +(7.16625 + 2.09298i) q^{77} +(-5.77615 - 0.914852i) q^{78} +(6.27270 - 14.0887i) q^{79} +(1.94060 + 1.11089i) q^{80} +(6.31526 - 2.81173i) q^{81} +(-1.11563 + 4.16359i) q^{82} +(-8.06647 + 1.27760i) q^{83} +(3.27312 + 2.49173i) q^{84} +(-3.57600 - 6.95480i) q^{85} +(-2.50367 + 2.78060i) q^{86} +(-0.747188 + 14.2572i) q^{87} +(-0.147679 + 2.81788i) q^{88} +(-9.82362 + 10.9102i) q^{89} +(-1.16285 - 0.587114i) q^{90} +(3.84341 + 9.17940i) q^{91} +(-7.45033 + 1.18002i) q^{92} +(0.336862 - 1.25719i) q^{93} +(9.95650 - 4.43292i) q^{94} +(12.7909 - 11.6026i) q^{95} +(-0.632398 + 1.42039i) q^{96} +(-1.99762 - 0.316392i) q^{97} +(0.678457 - 6.96704i) q^{98} -1.64386i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 320 q + 12 q^{5} - 8 q^{7} + 12 q^{10} - 16 q^{15} - 40 q^{16} + 36 q^{17} + 8 q^{18} - 72 q^{22} + 44 q^{23} - 12 q^{25} - 24 q^{28} - 80 q^{29} + 20 q^{30} - 48 q^{33} - 28 q^{35} + 80 q^{36} - 4 q^{37}+ \cdots - 40 q^{98}+O(q^{100}) \) 320 * q + 12 * q^5 - 8 * q^7 + 12 * q^10 - 16 * q^15 - 40 * q^16 + 36 * q^17 + 8 * q^18 - 72 * q^22 + 44 * q^23 - 12 * q^25 - 24 * q^28 - 80 * q^29 + 20 * q^30 - 48 * q^33 - 28 * q^35 + 80 * q^36 - 4 * q^37 - 24 * q^38 - 40 * q^39 - 36 * q^42 + 88 * q^43 - 228 * q^45 - 12 * q^47 + 32 * q^50 - 52 * q^53 + 152 * q^57 + 32 * q^58 - 120 * q^59 - 8 * q^60 + 136 * q^63 + 8 * q^65 - 32 * q^67 - 144 * q^68 + 92 * q^70 + 8 * q^72 + 12 * q^73 - 432 * q^75 + 144 * q^77 - 16 * q^78 + 12 * q^80 - 40 * q^81 - 192 * q^82 + 60 * q^84 - 24 * q^85 + 24 * q^87 + 4 * q^88 - 300 * q^89 - 8 * q^92 - 68 * q^93 + 20 * q^95 - 40 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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