LMFDB - Embedded newform 483.2.r.a.34.9

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [483,2,Mod(34,483)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(483, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([0, 11, 9]))

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

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

chi := DirichletCharacter("483.34");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 483 = 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	483.r (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:	$3.85677441763$
Analytic rank:	$0$
Dimension:	$320$
Relative dimension:	$32$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			34.9
Character	$\chi$	$=$	483.34
Dual form			483.2.r.a.412.9

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.19713 + 0.769346i) q^{2} +(-0.989821 - 0.142315i) q^{3} +(0.0103865 - 0.0227432i) q^{4} +(1.85052 - 0.543361i) q^{5} +(1.29443 - 0.591146i) q^{6} +(1.99144 - 1.74188i) q^{7} +(-0.399972 - 2.78187i) q^{8} +(0.959493 + 0.281733i) q^{9} +O(q^{10})$	\(q+(-1.19713 + 0.769346i) q^{2} +(-0.989821 - 0.142315i) q^{3} +(0.0103865 - 0.0227432i) q^{4} +(1.85052 - 0.543361i) q^{5} +(1.29443 - 0.591146i) q^{6} +(1.99144 - 1.74188i) q^{7} +(-0.399972 - 2.78187i) q^{8} +(0.959493 + 0.281733i) q^{9} +(-1.79727 + 2.07416i) q^{10} +(-1.95833 + 3.04722i) q^{11} +(-0.0135175 + 0.0210336i) q^{12} +(-2.98474 - 2.58629i) q^{13} +(-1.04390 + 3.61736i) q^{14} +(-1.90901 + 0.274474i) q^{15} +(2.65178 + 3.06032i) q^{16} +(-2.49084 - 5.45419i) q^{17} +(-1.36538 + 0.400913i) q^{18} +(2.11104 - 4.62252i) q^{19} +(0.00686259 - 0.0477303i) q^{20} +(-2.21907 + 1.44074i) q^{21} -5.15454i q^{22} +(-4.57289 - 1.44523i) q^{23} +2.81047i q^{24} +(-1.07709 + 0.692206i) q^{25} +(5.56286 + 0.799819i) q^{26} +(-0.909632 - 0.415415i) q^{27} +(-0.0189319 - 0.0633839i) q^{28} +(-0.273749 - 0.599427i) q^{29} +(2.07416 - 1.79727i) q^{30} +(9.09573 - 1.30777i) q^{31} +(-0.135699 - 0.0398449i) q^{32} +(2.37206 - 2.73750i) q^{33} +(7.17801 + 4.61303i) q^{34} +(2.73873 - 4.30546i) q^{35} +(0.0163733 - 0.0188958i) q^{36} +(1.49824 - 5.10254i) q^{37} +(1.02914 + 7.15786i) q^{38} +(2.58629 + 2.98474i) q^{39} +(-2.25171 - 4.93056i) q^{40} +(0.999662 + 3.40453i) q^{41} +(1.54808 - 3.43198i) q^{42} +(11.5055 + 1.65425i) q^{43} +(0.0489634 + 0.0761886i) q^{44} +1.92864 q^{45} +(6.58620 - 1.78801i) q^{46} -8.64293i q^{47} +(-2.18926 - 3.40656i) q^{48} +(0.931688 - 6.93772i) q^{49} +(0.756870 - 1.65732i) q^{50} +(1.68928 + 5.75315i) q^{51} +(-0.0898216 + 0.0410202i) q^{52} +(-4.59919 + 3.98522i) q^{53} +(1.40854 - 0.202518i) q^{54} +(-1.96818 + 6.70301i) q^{55} +(-5.64221 - 4.84322i) q^{56} +(-2.74740 + 4.27504i) q^{57} +(0.788879 + 0.506981i) q^{58} +(-2.75852 - 2.39027i) q^{59} +(-0.0135855 + 0.0462679i) q^{60} +(-1.18090 - 8.21335i) q^{61} +(-9.88261 + 8.56333i) q^{62} +(2.40152 - 1.11027i) q^{63} +(-7.57760 + 2.22498i) q^{64} +(-6.92861 - 3.16419i) q^{65} +(-0.733567 + 5.10207i) q^{66} +(-2.51938 - 3.92024i) q^{67} -0.149917 q^{68} +(4.32066 + 2.08131i) q^{69} +(0.0337839 + 7.26120i) q^{70} +(2.52332 - 1.62164i) q^{71} +(0.399972 - 2.78187i) q^{72} +(-1.80436 - 0.824025i) q^{73} +(2.13204 + 7.26105i) q^{74} +(1.16464 - 0.531874i) q^{75} +(-0.0832048 - 0.0960235i) q^{76} +(1.40800 + 9.47954i) q^{77} +(-5.39242 - 1.58336i) q^{78} +(8.73472 + 7.56868i) q^{79} +(6.57002 + 4.22230i) q^{80} +(0.841254 + 0.540641i) q^{81} +(-3.81599 - 3.30657i) q^{82} +(-1.39646 - 0.410037i) q^{83} +(0.00971878 + 0.0654330i) q^{84} +(-7.57294 - 8.73964i) q^{85} +(-15.0463 + 6.87140i) q^{86} +(0.185655 + 0.632284i) q^{87} +(9.26023 + 4.22901i) q^{88} +(0.896944 - 6.23838i) q^{89} +(-2.30883 + 1.48379i) q^{90} +(-10.4490 + 0.0486154i) q^{91} +(-0.0803654 + 0.0889913i) q^{92} -9.18927 q^{93} +(6.64940 + 10.3467i) q^{94} +(1.39481 - 9.70111i) q^{95} +(0.128648 + 0.0587514i) q^{96} +(-9.51325 + 2.79334i) q^{97} +(4.22216 + 9.02211i) q^{98} +(-2.73750 + 2.37206i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9}+O(q^{10}) $ 320 * q + 4 * q^2 - 36 * q^4 + 12 * q^8 + 32 * q^9	$ 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9} - 4 q^{18} + 52 q^{23} - 68 q^{25} - 88 q^{28} + 24 q^{32} + 28 q^{35} + 14 q^{36} - 44 q^{37} + 110 q^{42} - 44 q^{43} - 154 q^{44} + 40 q^{46} - 16 q^{49} - 166 q^{50} - 44 q^{51} + 110 q^{56} - 44 q^{57} - 62 q^{58} - 84 q^{64} + 72 q^{70} - 40 q^{71} - 12 q^{72} + 22 q^{74} + 72 q^{77} - 8 q^{78} - 88 q^{79} - 32 q^{81} - 304 q^{85} + 330 q^{88} - 412 q^{92} + 24 q^{93} + 148 q^{95} - 60 q^{98} + 44 q^{99}+O(q^{100}) $ 320 * q + 4 * q^2 - 36 * q^4 + 12 * q^8 + 32 * q^9 - 4 * q^18 + 52 * q^23 - 68 * q^25 - 88 * q^28 + 24 * q^32 + 28 * q^35 + 14 * q^36 - 44 * q^37 + 110 * q^42 - 44 * q^43 - 154 * q^44 + 40 * q^46 - 16 * q^49 - 166 * q^50 - 44 * q^51 + 110 * q^56 - 44 * q^57 - 62 * q^58 - 84 * q^64 + 72 * q^70 - 40 * q^71 - 12 * q^72 + 22 * q^74 + 72 * q^77 - 8 * q^78 - 88 * q^79 - 32 * q^81 - 304 * q^85 + 330 * q^88 - 412 * q^92 + 24 * q^93 + 148 * q^95 - 60 * q^98 + 44 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/483\mathbb{Z}\right)^\times$.

$n$	$323$	$346$	$442$
$\chi(n)$	$1$	$-1$	$e\left(\frac{9}{22}\right)$

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 $

$2$	−1.19713	+	0.769346i	−0.846496	+	0.544010i	−0.890480	−	0.455023i	$-0.849631\pi$
$2$	−1.19713	+	0.769346i	−0.846496	+	0.544010i	0.0439843	+	0.999032i	$0.485995\pi$
$3$	−0.989821	−	0.142315i	−0.571474	−	0.0821655i
$3$	−0.989821	−	0.142315i	−0.571474	−	0.0821655i
$4$	0.0103865	−	0.0227432i	0.00519324	−	0.0113716i
$5$	1.85052	−	0.543361i	0.827577	−	0.242998i	0.159601	−	0.987182i	$-0.448979\pi$
$5$	1.85052	−	0.543361i	0.827577	−	0.242998i	0.667976	+	0.744183i	$0.267161\pi$
$6$	1.29443	−	0.591146i	0.528449	−	0.241334i
$7$	1.99144	−	1.74188i	0.752695	−	0.658370i
$7$	1.99144	−	1.74188i	0.752695	−	0.658370i
$8$	−0.399972	−	2.78187i	−0.141411	−	0.983538i
$9$	0.959493	+	0.281733i	0.319831	+	0.0939109i
$10$	−1.79727	+	2.07416i	−0.568346	+	0.655907i
$11$	−1.95833	+	3.04722i	−0.590458	+	0.918771i	0.409521	+	0.912301i	$0.365696\pi$
$11$	−1.95833	+	3.04722i	−0.590458	+	0.918771i	−0.999979	+	0.00647023i	$0.997940\pi$
$12$	−0.0135175	+	0.0210336i	−0.00390215	+	0.00607187i
$13$	−2.98474	−	2.58629i	−0.827818	−	0.717309i	0.134005	−	0.990981i	$-0.457216\pi$
$13$	−2.98474	−	2.58629i	−0.827818	−	0.717309i	−0.961823	+	0.273672i	$0.911762\pi$
$14$	−1.04390	+	3.61736i	−0.278993	+	0.966780i
$15$	−1.90901	+	0.274474i	−0.492904	+	0.0708689i
$16$	2.65178	+	3.06032i	0.662945	+	0.765079i
$17$	−2.49084	−	5.45419i	−0.604118	−	1.32283i	−0.926525	−	0.376233i	$-0.877219\pi$
$17$	−2.49084	−	5.45419i	−0.604118	−	1.32283i	0.322407	−	0.946601i	$-0.395508\pi$
$18$	−1.36538	+	0.400913i	−0.321824	+	0.0944960i
$19$	2.11104	−	4.62252i	0.484305	−	1.06048i	−0.496953	−	0.867778i	$-0.665548\pi$
$19$	2.11104	−	4.62252i	0.484305	−	1.06048i	0.981257	−	0.192702i	$-0.0617250\pi$
$20$	0.00686259	−	0.0477303i	0.00153452	−	0.0106728i
$21$	−2.21907	+	1.44074i	−0.484240	+	0.314396i
$22$		−	5.15454i		−	1.09895i
$23$	−4.57289	−	1.44523i	−0.953513	−	0.301352i
$23$	−4.57289	−	1.44523i	−0.953513	−	0.301352i
$24$			2.81047i			0.573685i
$25$	−1.07709	+	0.692206i	−0.215419	+	0.138441i
$26$	5.56286	+	0.799819i	1.09097	+	0.156857i
$27$	−0.909632	−	0.415415i	−0.175059	−	0.0799467i
$28$	−0.0189319	−	0.0633839i	−0.00357780	−	0.0119784i
$29$	−0.273749	−	0.599427i	−0.0508339	−	0.111311i	0.882511	−	0.470292i	$-0.155851\pi$
$29$	−0.273749	−	0.599427i	−0.0508339	−	0.111311i	−0.933345	+	0.358981i	$0.883124\pi$
$30$	2.07416	−	1.79727i	0.378688	−	0.328135i
$31$	9.09573	−	1.30777i	1.63364	−	0.234882i	0.736440	−	0.676503i	$-0.236505\pi$
$31$	9.09573	−	1.30777i	1.63364	−	0.234882i	0.897202	+	0.441621i	$0.145596\pi$
$32$	−0.135699	−	0.0398449i	−0.0239885	−	0.00704365i
$33$	2.37206	−	2.73750i	0.412923	−	0.476538i
$34$	7.17801	+	4.61303i	1.23102	+	0.791127i
$35$	2.73873	−	4.30546i	0.462930	−	0.727755i
$36$	0.0163733	−	0.0188958i	0.00272888	−	0.00314929i
$37$	1.49824	−	5.10254i	0.246309	−	0.838853i	−0.739810	−	0.672816i	$-0.765085\pi$
$37$	1.49824	−	5.10254i	0.246309	−	0.838853i	0.986120	−	0.166037i	$-0.0530971\pi$
$38$	1.02914	+	7.15786i	0.166949	+	1.16116i
$39$	2.58629	+	2.98474i	0.414138	+	0.477941i
$40$	−2.25171	−	4.93056i	−0.356027	−	0.779590i
$41$	0.999662	+	3.40453i	0.156121	+	0.531699i	0.999988	−	0.00485291i	$-0.00154473\pi$
$41$	0.999662	+	3.40453i	0.156121	+	0.531699i	−0.843867	+	0.536552i	$0.819727\pi$
$42$	1.54808	−	3.43198i	0.238873	−	0.529566i
$43$	11.5055	+	1.65425i	1.75458	+	0.252270i	0.943194	−	0.332243i	$-0.107805\pi$
$43$	11.5055	+	1.65425i	1.75458	+	0.252270i	0.811384	+	0.584513i	$0.198714\pi$
$44$	0.0489634	+	0.0761886i	0.00738151	+	0.0114859i
$45$	1.92864			0.287505
$46$	6.58620	−	1.78801i	0.971083	−	0.263628i
$47$		−	8.64293i		−	1.26070i	−0.776311	−	0.630351i	$-0.782911\pi$
$47$		−	8.64293i		−	1.26070i	0.776311	−	0.630351i	$-0.217089\pi$
$48$	−2.18926	−	3.40656i	−0.315992	−	0.491694i
$49$	0.931688	−	6.93772i	0.133098	−	0.991103i
$50$	0.756870	−	1.65732i	0.107038	−	0.234380i
$51$	1.68928	+	5.75315i	0.236546	+	0.805603i
$52$	−0.0898216	+	0.0410202i	−0.0124560	+	0.00568847i
$53$	−4.59919	+	3.98522i	−0.631747	+	0.547412i	−0.910792	−	0.412866i	$-0.864528\pi$
$53$	−4.59919	+	3.98522i	−0.631747	+	0.547412i	0.279045	+	0.960278i	$0.409982\pi$
$54$	1.40854	−	0.202518i	0.191678	−	0.0275592i
$55$	−1.96818	+	6.70301i	−0.265390	+	0.903834i
$56$	−5.64221	−	4.84322i	−0.753971	−	0.647203i
$57$	−2.74740	+	4.27504i	−0.363902	+	0.566243i
$58$	0.788879	+	0.506981i	0.103585	+	0.0665699i
$59$	−2.75852	−	2.39027i	−0.359128	−	0.311186i	0.456544	−	0.889701i	$-0.349087\pi$
$59$	−2.75852	−	2.39027i	−0.359128	−	0.311186i	−0.815672	+	0.578515i	$0.803633\pi$
$60$	−0.0135855	+	0.0462679i	−0.00175388	+	0.00597316i
$61$	−1.18090	−	8.21335i	−0.151199	−	1.05161i	−0.914214	−	0.405231i	$-0.867191\pi$
$61$	−1.18090	−	8.21335i	−0.151199	−	1.05161i	0.763015	−	0.646381i	$-0.223718\pi$
$62$	−9.88261	+	8.56333i	−1.25509	+	1.08754i
$63$	2.40152	−	1.11027i	0.302563	−	0.139881i
$64$	−7.57760	+	2.22498i	−0.947200	+	0.278123i
$65$	−6.92861	−	3.16419i	−0.859388	−	0.392469i
$66$	−0.733567	+	5.10207i	−0.0902958	+	0.628021i
$67$	−2.51938	−	3.92024i	−0.307792	−	0.478933i	0.652555	−	0.757741i	$-0.273697\pi$
$67$	−2.51938	−	3.92024i	−0.307792	−	0.478933i	−0.960347	+	0.278808i	$0.910061\pi$
$68$	−0.149917			−0.0181801
$69$	4.32066	+	2.08131i	0.520147	+	0.250560i
$70$	0.0337839	+	7.26120i	0.00403794	+	0.867880i
$71$	2.52332	−	1.62164i	0.299464	−	0.192454i	−0.382277	−	0.924048i	$-0.624860\pi$
$71$	2.52332	−	1.62164i	0.299464	−	0.192454i	0.681740	+	0.731594i	$0.261223\pi$
$72$	0.399972	−	2.78187i	0.0471371	−	0.327846i
$73$	−1.80436	−	0.824025i	−0.211185	−	0.0964448i	0.307014	−	0.951705i	$-0.400670\pi$
$73$	−1.80436	−	0.824025i	−0.211185	−	0.0964448i	−0.518199	+	0.855260i	$0.673397\pi$
$74$	2.13204	+	7.26105i	0.247844	+	0.844080i
$75$	1.16464	−	0.531874i	0.134481	−	0.0614155i
$76$	−0.0832048	−	0.0960235i	−0.00954425	−	0.0110147i
$77$	1.40800	+	9.47954i	0.160456	+	1.08029i
$78$	−5.39242	−	1.58336i	−0.610571	−	0.179280i
$79$	8.73472	+	7.56868i	0.982733	+	0.851543i	0.988922	−	0.148438i	$-0.0474245\pi$
$79$	8.73472	+	7.56868i	0.982733	+	0.851543i	−0.00618885	+	0.999981i	$0.501970\pi$
$80$	6.57002	+	4.22230i	0.734551	+	0.472067i
$81$	0.841254	+	0.540641i	0.0934726	+	0.0600712i
$82$	−3.81599	−	3.30657i	−0.421405	−	0.365150i
$83$	−1.39646	−	0.410037i	−0.153281	−	0.0450074i	0.204192	−	0.978931i	$-0.434543\pi$
$83$	−1.39646	−	0.410037i	−0.153281	−	0.0450074i	−0.357473	+	0.933923i	$0.616362\pi$
$84$	0.00971878	+	0.0654330i	0.00106041	+	0.00713933i
$85$	−7.57294	−	8.73964i	−0.821401	−	0.947947i
$86$	−15.0463	+	6.87140i	−1.62248	+	0.740962i
$87$	0.185655	+	0.632284i	0.0199043	+	0.0677880i
$88$	9.26023	+	4.22901i	0.987144	+	0.450813i
$89$	0.896944	−	6.23838i	0.0950759	−	0.661267i	−0.885429	−	0.464774i	$-0.846136\pi$
$89$	0.896944	−	6.23838i	0.0950759	−	0.661267i	0.980505	−	0.196493i	$-0.0629554\pi$
$90$	−2.30883	+	1.48379i	−0.243372	+	0.156405i
$91$	−10.4490	+	0.0486154i	−1.09535	+	0.00509628i
$92$	−0.0803654	+	0.0889913i	−0.00837868	+	0.00927799i
$93$	−9.18927			−0.952883
$94$	6.64940	+	10.3467i	0.685834	+	1.06718i
$95$	1.39481	−	9.70111i	0.143104	−	0.995313i
$96$	0.128648	+	0.0587514i	0.0131300	+	0.00599629i
$97$	−9.51325	+	2.79334i	−0.965924	+	0.283621i	−0.726402	−	0.687270i	$-0.758809\pi$
$97$	−9.51325	+	2.79334i	−0.965924	+	0.283621i	−0.239522	+	0.970891i	$0.576991\pi$
$98$	4.22216	+	9.02211i	0.426502	+	0.911371i
$99$	−2.73750	+	2.37206i	−0.275129	+	0.238401i
$100$	0.00455578	+	0.0316862i	0.000455578	+	0.00316862i
$101$	−3.71719	+	12.6596i	−0.369874	+	1.25968i	0.538894	+	0.842374i	$0.318842\pi$
$101$	−3.71719	+	12.6596i	−0.369874	+	1.25968i	−0.908768	+	0.417302i	$0.862976\pi$
$102$	−6.44844	−	5.58761i	−0.638491	−	0.553256i
$103$	9.32445	+	5.99246i	0.918765	+	0.590455i	0.912299	−	0.409525i	$-0.134305\pi$
$103$	9.32445	+	5.99246i	0.918765	+	0.590455i	0.00646614	+	0.999979i	$0.497942\pi$
$104$	−6.00091	+	9.33760i	−0.588437	+	0.915627i
$105$	−3.32358	+	3.87187i	−0.324348	+	0.377856i
$106$	2.43979	−	8.30917i	0.236974	−	0.807058i
$107$	11.9030	−	1.71140i	1.15071	−	0.165447i	0.459553	−	0.888151i	$-0.348010\pi$
$107$	11.9030	−	1.71140i	1.15071	−	0.165447i	0.691158	+	0.722703i	$0.257101\pi$
$108$	−0.0188958	+	0.0163733i	−0.00181824	+	0.00157552i
$109$	−6.65290	+	3.03828i	−0.637232	+	0.291014i	−0.707714	−	0.706499i	$-0.750273\pi$
$109$	−6.65290	+	3.03828i	−0.637232	+	0.291014i	0.0704821	+	0.997513i	$0.477546\pi$
$110$	−2.80077	−	9.53856i	−0.267043	−	0.909466i
$111$	−2.20916	+	4.83738i	−0.209684	+	0.459144i
$112$	10.6116	+	1.47536i	1.00270	+	0.139408i
$113$	7.04875	+	10.9681i	0.663091	+	1.03179i	0.996045	+	0.0888468i	$0.0283182\pi$
$113$	7.04875	+	10.9681i	0.663091	+	1.03179i	−0.332954	+	0.942943i	$0.608045\pi$
$114$		−	7.23146i		−	0.677289i
$115$	−9.24749	−	0.189698i	−0.862333	−	0.0176894i
$116$	−0.0164762			−0.00152978
$117$	−2.13520	−	3.32243i	−0.197399	−	0.307159i
$118$	5.14123	+	0.739197i	0.473289	+	0.0680486i
$119$	−14.4609	−	6.52294i	−1.32563	−	0.597957i
$120$	1.52710	+	5.20083i	0.139405	+	0.474768i
$121$	−0.880926	−	1.92896i	−0.0800842	−	0.175360i
$122$	7.73260	+	8.92389i	0.700076	+	0.807931i
$123$	−0.504971	−	3.51215i	−0.0455317	−	0.316680i
$124$	0.0647298	−	0.220449i	0.00581291	−	0.0197969i
$125$	−7.93202	+	9.15404i	−0.709461	+	0.818762i
$126$	−2.02074	+	3.17673i	−0.180022	+	0.283006i
$127$	−10.5131	−	6.75637i	−0.932888	−	0.599531i	−0.0165182	−	0.999864i	$-0.505258\pi$
$127$	−10.5131	−	6.75637i	−0.932888	−	0.599531i	−0.916370	+	0.400333i	$0.868894\pi$
$128$	7.54479	−	8.70715i	0.666871	−	0.769611i
$129$	−11.1530	−	3.27482i	−0.981967	−	0.288332i
$130$	10.7288	−	1.54256i	0.940975	−	0.135292i
$131$	−8.96849	+	7.77124i	−0.783581	+	0.678977i	−0.951782	−	0.306776i	$-0.900750\pi$
$131$	−8.96849	+	7.77124i	−0.783581	+	0.678977i	0.168201	+	0.985753i	$0.446204\pi$
$132$	−0.0376223	−	0.0823813i	−0.00327460	−	0.00717037i
$133$	−3.84789	−	12.8827i	−0.333654	−	1.11707i
$134$	6.03204	+	2.75474i	0.521089	+	0.237973i
$135$	−1.90901	−	0.274474i	−0.164301	−	0.0236230i
$136$	−14.1765	+	9.11071i	−1.21563	+	0.781237i
$137$		−	5.23884i		−	0.447584i	−0.974637	−	0.223792i	$-0.928156\pi$
$137$		−	5.23884i		−	0.447584i	0.974637	−	0.223792i	$-0.0718437\pi$
$138$	−6.77363	+	0.832495i	−0.576609	+	0.0708667i
$139$		−	11.1899i		−	0.949112i	−0.880225	−	0.474556i	$-0.842609\pi$
$139$		−	11.1899i		−	0.949112i	0.880225	−	0.474556i	$-0.157391\pi$
$140$	−0.0694742	−	0.107006i	−0.00587164	−	0.00904366i
$141$	−1.23002	+	8.55496i	−0.103586	+	0.720458i
$142$	−1.77313	+	3.88262i	−0.148798	+	0.325822i
$143$	13.7261	−	4.03035i	1.14783	−	0.337035i
$144$	1.68217	+	3.68345i	0.140181	+	0.306954i
$145$	−0.832283	−	0.960505i	−0.0691173	−	0.0797656i
$146$	2.79401	−	0.401718i	0.231234	−	0.0332464i
$147$	−1.90955	+	6.73451i	−0.157497	+	0.555453i
$148$	−0.100487	−	0.0870723i	−0.00825996	−	0.00715730i
$149$	11.7883	−	18.3429i	0.965733	−	1.50271i	0.104484	−	0.994527i	$-0.466681\pi$
$149$	11.7883	−	18.3429i	0.965733	−	1.50271i	0.861249	−	0.508183i	$-0.169683\pi$
$150$	−0.985027	+	1.53273i	−0.0804271	+	0.125147i
$151$	6.96490	−	8.03792i	0.566795	−	0.654117i	−0.397917	−	0.917421i	$-0.630267\pi$
$151$	6.96490	−	8.03792i	0.566795	−	0.654117i	0.964713	+	0.263304i	$0.0848124\pi$
$152$	−13.7036	−	4.02374i	−1.11151	−	0.326368i
$153$	−0.853325	−	5.93501i	−0.0689872	−	0.479817i
$154$	−8.97860	−	10.2650i	−0.723516	−	0.827174i
$155$	16.1212	−	7.36232i	1.29489	−	0.591355i
$156$	0.0947451	−	0.0278197i	0.00758568	−	0.00222736i
$157$	−9.43594	+	20.6618i	−0.753070	+	1.64899i	0.00769782	+	0.999970i	$0.497550\pi$
$157$	−9.43594	+	20.6618i	−0.753070	+	1.64899i	−0.760768	+	0.649024i	$0.775178\pi$
$158$	−16.2795	−	2.34064i	−1.29513	−	0.186211i
$159$	5.11953	−	3.29012i	0.406005	−	0.260924i
$160$	−0.272764			−0.0215639
$161$	−11.6241	+	5.08734i	−0.916105	+	0.400939i
$162$	−1.42303			−0.111803
$163$	−13.4485	+	8.64286i	−1.05337	+	0.676961i	−0.948258	−	0.317499i	$-0.897157\pi$
$163$	−13.4485	+	8.64286i	−1.05337	+	0.676961i	−0.105113	+	0.994460i	$0.533520\pi$
$164$	0.0878131	+	0.0126256i	0.00685705	+	0.000985895i
$165$	2.90209	−	6.35468i	0.225927	−	0.494711i
$166$	1.98720	−	0.583493i	0.154236	−	0.0452879i
$167$	17.3498	−	7.92341i	1.34257	−	0.613132i	0.390952	−	0.920411i	$-0.372146\pi$
$167$	17.3498	−	7.92341i	1.34257	−	0.613132i	0.951619	+	0.307279i	$0.0994186\pi$
$168$	4.89551	+	5.59689i	0.377697	+	0.431810i
$169$	0.369677	+	2.57116i	0.0284367	+	0.197781i
$170$	15.7896	+	4.63624i	1.21100	+	0.355583i
$171$	3.32784	−	3.84053i	0.254486	−	0.293693i
$172$	0.157125	−	0.244491i	0.0119807	−	0.0186423i
$173$	2.65926	−	4.13788i	0.202179	−	0.314597i	−0.725327	−	0.688404i	$-0.758311\pi$
$173$	2.65926	−	4.13788i	0.202179	−	0.314597i	0.927506	+	0.373807i	$0.121948\pi$
$174$	−0.708698	−	0.614090i	−0.0537262	−	0.0465541i
$175$	−0.939228	+	3.25466i	−0.0709990	+	0.246029i
$176$	−14.5185	+	2.08745i	−1.09437	+	0.157347i
$177$	2.39027	+	2.75852i	0.179663	+	0.207343i
$178$	3.72572	+	8.15819i	0.279255	+	0.611482i
$179$	−3.27841	+	0.962628i	−0.245040	+	0.0719502i	−0.401946	−	0.915663i	$-0.631666\pi$
$179$	−3.27841	+	0.962628i	−0.245040	+	0.0719502i	0.156906	+	0.987613i	$0.449848\pi$
$180$	0.0200318	−	0.0438635i	0.00149308	−	0.00326939i
$181$	−2.14559	+	14.9229i	−0.159480	+	1.10921i	0.740114	+	0.672482i	$0.234772\pi$
$181$	−2.14559	+	14.9229i	−0.159480	+	1.10921i	−0.899594	+	0.436727i	$0.856137\pi$
$182$	12.4713	−	8.09706i	0.924436	−	0.600194i
$183$			8.29781i			0.613392i
$184$	−2.19141	+	13.2992i	−0.161553	+	0.980431i
$185$		−	10.2564i		−	0.754068i
$186$	11.0007	−	7.06972i	0.806611	−	0.518377i
$187$	21.4980	+	3.09094i	1.57209	+	0.226032i
$188$	−0.196568	−	0.0897697i	−0.0143362	−	0.00654713i
$189$	−2.53508	+	0.757197i	−0.184400	+	0.0550780i
$190$	5.79375	+	12.6865i	0.420323	+	0.920379i
$191$	6.80994	−	5.90085i	0.492750	−	0.426970i	−0.372710	−	0.927948i	$-0.621572\pi$
$191$	6.80994	−	5.90085i	0.492750	−	0.426970i	0.865460	+	0.500977i	$0.167026\pi$
$192$	7.81712	−	1.12393i	0.564152	−	0.0811128i
$193$	−11.7939	−	3.46300i	−0.848944	−	0.249272i	−0.171808	−	0.985130i	$-0.554961\pi$
$193$	−11.7939	−	3.46300i	−0.848944	−	0.249272i	−0.677136	+	0.735858i	$0.736779\pi$
$194$	9.23951	−	10.6630i	0.663358	−	0.765556i
$195$	6.40777	+	4.11803i	0.458870	+	0.294898i
$196$	−0.148109	−	0.0932481i	−0.0105792	−	0.00666058i
$197$	9.90291	−	11.4286i	0.705553	−	0.814251i	−0.283939	−	0.958842i	$-0.591641\pi$
$197$	9.90291	−	11.4286i	0.705553	−	0.814251i	0.989491	+	0.144591i	$0.0461867\pi$
$198$	1.45220	−	4.94574i	0.103203	−	0.351478i
$199$	−0.379437	−	2.63904i	−0.0268976	−	0.187077i	0.971943	−	0.235216i	$-0.0755799\pi$
$199$	−0.379437	−	2.63904i	−0.0268976	−	0.187077i	−0.998841	+	0.0481395i	$0.984671\pi$
$200$	2.35643	+	2.71947i	0.166625	+	0.192295i
$201$	1.93583	+	4.23888i	0.136543	+	0.298988i
$202$	−5.28966	−	18.0149i	−0.372179	−	1.26752i
$203$	−1.58929	−	0.716885i	−0.111546	−	0.0503155i
$204$	0.148391	+	0.0213354i	0.0103894	+	0.00149378i
$205$	3.69978	+	5.75697i	0.258404	+	0.402085i
$206$	−15.7728			−1.09894
$207$	−3.98049	−	2.67502i	−0.276663	−	0.185927i
$208$		−	15.9925i		−	1.10888i
$209$	9.95174	+	15.4852i	0.688376	+	1.07113i
$210$	0.999937	−	7.19210i	0.0690022	−	0.496302i
$211$	−7.30605	+	15.9980i	−0.502969	+	1.10135i	0.472524	+	0.881318i	$0.343343\pi$
$211$	−7.30605	+	15.9980i	−0.502969	+	1.10135i	−0.975493	+	0.220031i	$0.929384\pi$
$212$	0.0428673	+	0.145993i	0.00294414	+	0.0100268i
$213$	−2.72842	+	1.24603i	−0.186949	+	0.0853766i
$214$	−12.9328	+	11.2063i	−0.884067	+	0.766048i
$215$	22.1901	−	3.19045i	1.51335	−	0.217587i
$216$	−0.791802	+	2.69663i	−0.0538753	+	0.183482i
$217$	15.8357	−	18.4480i	1.07499	−	1.25234i
$218$	5.62687	−	8.75558i	0.381100	−	0.593002i
$219$	1.66873	+	1.07242i	0.112762	+	0.0724678i
$220$	0.132006	+	0.114383i	0.00889981	+	0.00771173i
$221$	−6.67160	+	22.7214i	−0.448781	+	1.52841i
$222$	−1.07698	−	7.49056i	−0.0722822	−	0.502734i
$223$	14.1830	−	12.2896i	0.949761	−	0.822972i	−0.0345524	−	0.999403i	$-0.511001\pi$
$223$	14.1830	−	12.2896i	0.949761	−	0.822972i	0.984313	+	0.176431i	$0.0564551\pi$
$224$	−0.339643	+	0.157023i	−0.0226933	+	0.0104916i
$225$	−1.22848	+	0.360715i	−0.0818987	+	0.0240476i
$226$	−16.8765	−	7.70723i	−1.12261	−	0.512678i
$227$	−4.01755	+	27.9427i	−0.266654	+	1.85462i	0.212857	+	0.977083i	$0.431723\pi$
$227$	−4.01755	+	27.9427i	−0.266654	+	1.85462i	−0.479511	+	0.877536i	$0.659186\pi$
$228$	0.0686924	+	0.106887i	0.00454926	+	0.00707879i
$229$	−8.34445			−0.551417			−0.275708	−	0.961241i	$-0.588912\pi$
$229$	−8.34445			−0.551417			−0.275708	+	0.961241i	$0.588912\pi$
$230$	11.2164	−	6.88743i	0.739584	−	0.454144i
$231$	−0.0445884	−	9.58343i	−0.00293370	−	0.630544i
$232$	−1.55803	+	1.00129i	−0.102290	+	0.0657377i
$233$	0.642081	−	4.46577i	0.0420641	−	0.292562i	−0.957921	−	0.287033i	$-0.907331\pi$
$233$	0.642081	−	4.46577i	0.0420641	−	0.292562i	0.999985	−	0.00552898i	$-0.00175994\pi$
$234$	5.11219	+	2.33466i	0.334195	+	0.152622i
$235$	−4.69623	−	15.9939i	−0.306348	−	1.04333i
$236$	−0.0830136	+	0.0379111i	−0.00540373	+	0.00246780i
$237$	−7.56868	−	8.73472i	−0.491639	−	0.567381i
$238$	22.3299	−	3.31667i	1.44744	−	0.214988i
$239$	−2.40495	−	0.706158i	−0.155563	−	0.0456775i	0.203024	−	0.979174i	$-0.434923\pi$
$239$	−2.40495	−	0.706158i	−0.155563	−	0.0456775i	−0.358587	+	0.933496i	$0.616741\pi$
$240$	−5.90225	−	5.11433i	−0.380989	−	0.330129i
$241$	5.39208	+	3.46528i	0.347334	+	0.223218i	0.702662	−	0.711524i	$-0.251994\pi$
$241$	5.39208	+	3.46528i	0.347334	+	0.223218i	−0.355328	+	0.934742i	$0.615631\pi$
$242$	2.53862	+	1.63147i	0.163188	+	0.104875i
$243$	−0.755750	−	0.654861i	−0.0484814	−	0.0420093i
$244$	−0.199063	−	0.0584503i	−0.0127437	−	0.00374190i
$245$	−2.04558	−	13.3446i	−0.130687	−	0.852556i
$246$	3.30657	+	3.81599i	0.210819	+	0.243298i
$247$	−18.2561	+	8.33728i	−1.16161	+	0.530488i
$248$	−7.27608	−	24.7800i	−0.462031	−	1.57353i
$249$	1.32389	+	0.604600i	0.0838981	+	0.0383150i
$250$	2.45300	−	17.0610i	0.155141	−	1.07903i
$251$	−19.7115	+	12.6678i	−1.24418	+	0.799587i	−0.986038	−	0.166520i	$-0.946747\pi$
$251$	−19.7115	+	12.6678i	−1.24418	+	0.799587i	−0.258143	+	0.966107i	$0.583111\pi$
$252$	−0.000307774	−	0.0661501i	−1.93879e−5	−	0.00416707i
$253$	13.3592	−	11.1044i	0.839883	−	0.698125i
$254$	17.7835			1.11584
$255$	6.25208	+	9.72843i	0.391520	+	0.609218i
$256$	−0.0853847	+	0.593864i	−0.00533654	+	0.0371165i
$257$	−13.4785	−	6.15542i	−0.840765	−	0.383964i	−0.0519906	−	0.998648i	$-0.516557\pi$
$257$	−13.4785	−	6.15542i	−0.840765	−	0.383964i	−0.788774	+	0.614683i	$0.789284\pi$
$258$	15.8710	−	4.66015i	0.988086	−	0.290128i
$259$	−5.90437	−	12.7712i	−0.366880	−	0.793563i
$260$	−0.143928	+	0.124714i	−0.00892602	+	0.00773444i
$261$	−0.0937822	−	0.652270i	−0.00580498	−	0.0403745i
$262$	4.75764	−	16.2030i	0.293928	−	1.00103i
$263$	17.4595	+	15.1288i	1.07660	+	0.932881i	0.997949	−	0.0640215i	$-0.0203926\pi$
$263$	17.4595	+	15.1288i	1.07660	+	0.932881i	0.0786530	+	0.996902i	$0.474938\pi$
$264$	−8.56412	−	5.50383i	−0.527085	−	0.338737i
$265$	−6.34546	+	9.87373i	−0.389799	+	0.606539i
$266$	14.5176	+	12.4618i	0.890133	+	0.764083i
$267$	−1.77563	+	6.04724i	−0.108667	+	0.370085i
$268$	−0.115326	+	0.0165814i	−0.00704468	+	0.00101287i
$269$	5.35499	−	4.64013i	0.326500	−	0.282914i	−0.476150	−	0.879364i	$-0.657968\pi$
$269$	5.35499	−	4.64013i	0.326500	−	0.282914i	0.802650	+	0.596450i	$0.203423\pi$
$270$	2.49649	−	1.14011i	0.151932	−	0.0693848i
$271$	4.46815	+	15.2171i	0.271421	+	0.924375i	0.976549	+	0.215295i	$0.0690712\pi$
$271$	4.46815	+	15.2171i	0.271421	+	0.924375i	−0.705128	+	0.709080i	$0.749111\pi$
$272$	10.0864	−	22.0861i	0.611576	−	1.33917i
$273$	10.3495	+	1.43892i	0.626382	+	0.0870875i
$274$	4.03048	+	6.27155i	0.243490	+	0.378878i
$275$		−	4.63771i		−	0.279664i
$276$	0.0922122	−	0.0766483i	0.00555052	−	0.00461369i
$277$	10.6506			0.639931			0.319966	−	0.947429i	$-0.396329\pi$
$277$	10.6506			0.639931			0.319966	+	0.947429i	$0.396329\pi$
$278$	8.60888	+	13.3957i	0.516326	+	0.803419i
$279$	9.09573	+	1.30777i	0.544547	+	0.0782941i
$280$	−13.0726	−	5.89671i	−0.781238	−	0.352396i
$281$	1.49354	+	5.08652i	0.0890969	+	0.303436i	0.991970	−	0.126470i	$-0.0403648\pi$
$281$	1.49354	+	5.08652i	0.0890969	+	0.303436i	−0.902873	+	0.429906i	$0.858547\pi$
$282$	−5.10924	−	11.1877i	−0.304251	−	0.666216i
$283$	0.882429	+	1.01838i	0.0524550	+	0.0605362i	0.781371	−	0.624067i	$-0.214521\pi$
$283$	0.882429	+	1.01838i	0.0524550	+	0.0605362i	−0.728916	+	0.684603i	$0.759975\pi$
$284$	−0.0106729	−	0.0742317i	−0.000633320	−	0.00440484i
$285$	−2.76123	+	9.40387i	−0.163561	+	0.557037i
$286$	−13.3311	+	15.3850i	−0.788287	+	0.909732i
$287$	7.92107	+	5.03864i	0.467566	+	0.297422i
$288$	−0.118977	−	0.0764618i	−0.00701078	−	0.00450556i
$289$	−12.4112	+	14.3233i	−0.730072	+	0.842548i
$290$	1.73531	+	0.509532i	0.101901	+	0.0299208i
$291$	9.81395	−	1.41103i	0.575304	−	0.0827163i
$292$	−0.0374820	+	0.0324783i	−0.00219347	+	0.00190065i
$293$	−4.08815	−	8.95179i	−0.238832	−	0.522969i	0.751822	−	0.659366i	$-0.229175\pi$
$293$	−4.08815	−	8.95179i	−0.238832	−	0.522969i	−0.990654	+	0.136396i	$0.956448\pi$
$294$	−2.89520	−	9.53116i	−0.168852	−	0.555868i
$295$	−6.40346	−	2.92436i	−0.372824	−	0.170263i
$296$	−14.7938	−	2.12703i	−0.859875	−	0.123631i
$297$	3.04722	−	1.95833i	0.176818	−	0.113634i
$298$			31.0280i			1.79740i
$299$	9.91110	+	16.1405i	0.573174	+	0.933428i
$300$		−	0.0320120i		−	0.00184821i
$301$	25.7941	−	16.7470i	1.48675	−	0.965279i
$302$	−2.15392	+	14.9808i	−0.123944	+	0.862049i
$303$	5.48100	−	12.0017i	0.314875	−	0.689481i
$304$	19.7444	−	5.79748i	1.13242	−	0.332508i
$305$	−6.64809	−	14.5573i	−0.380669	−	0.833548i
$306$	5.58761	+	6.44844i	0.319422	+	0.368633i
$307$	19.7199	−	2.83529i	1.12547	−	0.161819i	0.445659	−	0.895203i	$-0.352969\pi$
$307$	19.7199	−	2.83529i	1.12547	−	0.161819i	0.679815	+	0.733384i	$0.262060\pi$
$308$	0.230219	+	0.0664366i	0.0131180	+	0.00378558i
$309$	−8.37672	−	7.25847i	−0.476535	−	0.412920i
$310$	−13.6350	+	21.2164i	−0.774414	+	1.20501i
$311$	−11.9349	+	18.5710i	−0.676765	+	1.05307i	0.317720	+	0.948185i	$0.397083\pi$
$311$	−11.9349	+	18.5710i	−0.676765	+	1.05307i	−0.994485	+	0.104882i	$0.966554\pi$
$312$	7.26871	−	8.38853i	0.411509	−	0.474907i
$313$	−11.7267	−	3.44326i	−0.662831	−	0.194625i	−0.0670226	−	0.997751i	$-0.521350\pi$
$313$	−11.7267	−	3.44326i	−0.662831	−	0.194625i	−0.595808	+	0.803127i	$0.703168\pi$
$314$	−4.60009	−	31.9943i	−0.259598	−	1.80554i
$315$	3.84078	−	3.35947i	0.216403	−	0.189285i
$316$	0.262859	−	0.120044i	0.0147870	−	0.00675299i
$317$	11.6226	−	3.41271i	0.652792	−	0.191677i	0.0614653	−	0.998109i	$-0.480423\pi$
$317$	11.6226	−	3.41271i	0.652792	−	0.191677i	0.591327	+	0.806432i	$0.298604\pi$
$318$	−3.59748	+	7.87738i	−0.201736	+	0.441741i
$319$	2.36268	+	0.339701i	0.132284	+	0.0190196i
$320$	−12.8135	+	8.23474i	−0.716297	+	0.460336i
$321$	−12.0255			−0.671195
$322$	10.0015	−	15.0331i	0.557364	−	0.837763i
$323$	−30.4704			−1.69542
$324$	0.0210336	−	0.0135175i	0.00116853	−	0.000750970i
$325$	5.00509	+	0.719624i	0.277633	+	0.0399176i
$326$	9.45025	−	20.6932i	0.523401	−	1.14609i
$327$	7.01757	−	2.06054i	0.388073	−	0.113948i
$328$	9.07112	−	4.14264i	0.500869	−	0.228739i
$329$	−15.0550	−	17.2119i	−0.830008	−	0.948923i
$330$	1.41479	+	9.84006i	0.0778815	+	0.541678i
$331$	21.3431	+	6.26690i	1.17312	+	0.344460i	0.809519	−	0.587094i	$-0.199728\pi$
$331$	21.3431	+	6.26690i	1.17312	+	0.344460i	0.363604	+	0.931554i	$0.381546\pi$
$332$	−0.0238299	+	0.0275011i	−0.00130783	+	0.00150932i
$333$	2.87510	−	4.47375i	0.157555	−	0.245160i
$334$	−14.6741	+	22.8333i	−0.802931	+	1.24939i
$335$	−6.79227	−	5.88553i	−0.371101	−	0.321561i
$336$	−10.2936	−	2.97052i	−0.561562	−	0.162055i
$337$	−11.9857	+	1.72329i	−0.652904	+	0.0938734i	−0.460804	−	0.887502i	$-0.652439\pi$
$337$	−11.9857	+	1.72329i	−0.652904	+	0.0938734i	−0.192100	+	0.981375i	$0.561530\pi$
$338$	−2.42066	−	2.79359i	−0.131666	−	0.151951i
$339$	−5.41609	−	11.8596i	−0.294162	−	0.644124i
$340$	−0.277424	+	0.0814590i	−0.0150454	+	0.00441773i
$341$	−13.8274	+	30.2777i	−0.748794	+	1.63963i
$342$	−1.02914	+	7.15786i	−0.0556498	+	0.387053i
$343$	−10.2293	−	15.4390i	−0.552330	−	0.833626i
$344$		−	32.6685i		−	1.76137i
$345$	9.12637	+	1.50382i	0.491347	+	0.0809631i
$346$			6.99945i			0.376293i
$347$	−23.7935	+	15.2911i	−1.27730	+	0.820871i	−0.990552	−	0.137136i	$-0.956210\pi$
$347$	−23.7935	+	15.2911i	−1.27730	+	0.820871i	−0.286747	+	0.958006i	$0.592574\pi$
$348$	0.0163085	+	0.00234481i	0.000874226	+	0.000125695i
$349$	−24.8251	−	11.3372i	−1.32885	−	0.606868i	−0.380707	−	0.924696i	$-0.624319\pi$
$349$	−24.8251	−	11.3372i	−1.32885	−	0.606868i	−0.948148	+	0.317828i	$0.897047\pi$
$350$	−1.37958	−	4.61883i	−0.0737419	−	0.246887i
$351$	1.64063	+	3.59248i	0.0875704	+	0.191752i
$352$	0.387160	−	0.335476i	0.0206357	−	0.0178809i
$353$	15.3535	−	2.20750i	0.817183	−	0.117493i	0.278968	−	0.960300i	$-0.410008\pi$
$353$	15.3535	−	2.20750i	0.817183	−	0.117493i	0.538216	+	0.842807i	$0.319099\pi$
$354$	−4.98370	−	1.46335i	−0.264881	−	0.0777760i
$355$	3.78832	−	4.37195i	0.201063	−	0.232039i
$356$	−0.132565	−	0.0851943i	−0.00702592	−	0.00451529i
$357$	13.3854	+	8.51455i	0.708432	+	0.450638i
$358$	3.18407	−	3.67462i	0.168284	−	0.194210i
$359$	−2.71202	+	9.23629i	−0.143135	+	0.487473i	−0.999587	−	0.0287545i	$-0.990846\pi$
$359$	−2.71202	+	9.23629i	−0.143135	+	0.487473i	0.856452	+	0.516227i	$0.172664\pi$
$360$	−0.771402	−	5.36522i	−0.0406565	−	0.282772i
$361$	−4.46890	−	5.15738i	−0.235205	−	0.271441i
$362$	−8.91232	−	19.5153i	−0.468421	−	1.02570i
$363$	0.597440	+	2.03469i	0.0313575	+	0.106794i
$364$	−0.107422	+	0.238148i	−0.00563046	+	0.0124823i
$365$	−3.78675	−	0.544452i	−0.198207	−	0.0284979i
$366$	−6.38389	−	9.93352i	−0.333691	−	0.519234i
$367$	0.520178			0.0271531			0.0135765	−	0.999908i	$-0.495678\pi$
$367$	0.520178			0.0271531			0.0135765	+	0.999908i	$0.495678\pi$
$368$	−7.70343	−	17.8269i	−0.401569	−	0.929293i
$369$			3.54826i			0.184715i
$370$	7.89074	+	12.2782i	0.410220	+	0.638315i
$371$	−2.21723	+	15.9476i	−0.115113	+	0.827957i
$372$	−0.0954442	+	0.208994i	−0.00494855	+	0.0108358i
$373$	10.3807	+	35.3533i	0.537490	+	1.83052i	0.556707	+	0.830709i	$0.312065\pi$
$373$	10.3807	+	35.3533i	0.537490	+	1.83052i	−0.0192169	+	0.999815i	$0.506117\pi$
$374$	−28.1138	+	12.8391i	−1.45373	+	0.663896i
$375$	9.15404	−	7.93202i	0.472713	−	0.409608i
$376$	−24.0435	+	3.45693i	−1.23995	+	0.178278i
$377$	−0.733223	+	2.49713i	−0.0377629	+	0.128609i
$378$	2.45227	−	2.85682i	0.126131	−	0.146939i
$379$	−8.61363	+	13.4031i	−0.442453	+	0.688470i	−0.988826	−	0.149072i	$-0.952371\pi$
$379$	−8.61363	+	13.4031i	−0.442453	+	0.688470i	0.546374	+	0.837541i	$0.316008\pi$
$380$	−0.206147	−	0.132483i	−0.0105751	−	0.00679623i
$381$	9.44457	+	8.18377i	0.483860	+	0.419267i
$382$	−3.61256	+	12.3033i	−0.184835	+	0.629489i
$383$	−2.53119	−	17.6048i	−0.129338	−	0.899565i	−0.946396	−	0.323009i	$-0.895306\pi$
$383$	−2.53119	−	17.6048i	−0.129338	−	0.899565i	0.817058	−	0.576556i	$-0.195604\pi$
$384$	−8.70715	+	7.54479i	−0.444335	+	0.385018i
$385$	7.75634	+	16.7770i	0.395300	+	0.855035i
$386$	16.7830	−	4.92794i	0.854234	−	0.250826i
$387$	10.5734	+	4.82872i	0.537478	+	0.245458i
$388$	−0.0352796	+	0.245375i	−0.00179105	+	0.0124570i
$389$	3.67229	+	5.71419i	0.186192	+	0.289721i	0.921784	−	0.387705i	$-0.126732\pi$
$389$	3.67229	+	5.71419i	0.186192	+	0.289721i	−0.735591	+	0.677426i	$0.763096\pi$
$390$	−10.8391			−0.548859
$391$	3.50779	+	28.5412i	0.177396	+	1.44339i
$392$	−19.6725	+	0.183062i	−0.993609	+	0.00924604i
$393$	9.98317	−	6.41579i	0.503584	−	0.323634i
$394$	−3.06250	+	21.3002i	−0.154287	+	1.07309i
$395$	20.2763	+	9.25987i	1.02021	+	0.465914i
$396$	0.0255153	+	0.0868970i	0.00128219	+	0.00436674i
$397$	−15.3027	+	6.98850i	−0.768020	+	0.350743i	−0.760593	−	0.649230i	$-0.775091\pi$
$397$	−15.3027	+	6.98850i	−0.768020	+	0.350743i	−0.00742726	+	0.999972i	$0.502364\pi$
$398$	2.48457	+	2.86735i	0.124540	+	0.143727i
$399$	1.97533	+	13.2992i	0.0988900	+	0.665790i
$400$	−4.97459	−	1.46067i	−0.248729	−	0.0730335i
$401$	−6.13210	−	5.31350i	−0.306223	−	0.265343i	0.488169	−	0.872749i	$-0.337665\pi$
$401$	−6.13210	−	5.31350i	−0.306223	−	0.265343i	−0.794392	+	0.607406i	$0.792210\pi$
$402$	−5.57860	−	3.58515i	−0.278235	−	0.178811i
$403$	−30.5307	−	19.6209i	−1.52084	−	0.977386i
$404$	0.249311	+	0.216029i	0.0124037	+	0.0107479i
$405$	1.85052	+	0.543361i	0.0919530	+	0.0269998i
$406$	2.45411	−	0.364510i	0.121795	−	0.0180903i
$407$	12.6145	+	14.5579i	0.625278	+	0.721610i
$408$	15.3288	−	7.00045i	0.758891	−	0.346574i
$409$	−9.07159	−	30.8950i	−0.448561	−	1.52766i	−0.804962	−	0.593326i	$-0.797815\pi$
$409$	−9.07159	−	30.8950i	−0.448561	−	1.52766i	0.356401	−	0.934333i	$-0.384004\pi$
$410$	−8.85821	−	4.04541i	−0.437476	−	0.199788i
$411$	−0.745564	+	5.18551i	−0.0367760	+	0.255783i
$412$	0.233136	−	0.149827i	0.0114858	−	0.00738147i
$413$	−9.65699	+	0.0449306i	−0.475189	+	0.00221089i
$414$	6.82316	+	0.139966i	0.335340	+	0.00687897i
$415$	−2.80697			−0.137789
$416$	0.301977	+	0.469885i	0.0148056	+	0.0230380i
$417$	−1.59248	+	11.0760i	−0.0779843	+	0.542393i
$418$	−23.8270	−	10.8814i	−1.16541	−	0.532227i
$419$	26.8897	−	7.89552i	1.31365	−	0.385722i	0.451451	−	0.892296i	$-0.350907\pi$
$419$	26.8897	−	7.89552i	1.31365	−	0.385722i	0.862196	+	0.506574i	$0.169088\pi$
$420$	0.0535385	+	0.115804i	0.00261241	+	0.00565066i
$421$	19.9036	−	17.2465i	0.970041	−	0.840545i	−0.0171880	−	0.999852i	$-0.505471\pi$
$421$	19.9036	−	17.2465i	0.970041	−	0.840545i	0.987229	+	0.159307i	$0.0509259\pi$
$422$	−3.56175	−	24.7725i	−0.173383	−	1.20591i
$423$	2.43500	−	8.29283i	0.118394	−	0.403211i
$424$	12.9259	+	11.2003i	0.627736	+	0.543937i
$425$	6.45829	+	4.15049i	0.313273	+	0.201328i
$426$	2.30764	−	3.59076i	0.111805	−	0.173973i
$427$	−16.6584	−	14.2994i	−0.806156	−	0.691998i
$428$	0.0847080	−	0.288489i	0.00409452	−	0.0139446i
$429$	−14.1600	+	2.03590i	−0.683650	+	0.0982940i
$430$	−24.1097	+	20.8912i	−1.16267	+	1.00746i
$431$	23.0534	−	10.5281i	1.11044	−	0.507122i	0.226167	−	0.974089i	$-0.427381\pi$
$431$	23.0534	−	10.5281i	1.11044	−	0.507122i	0.884275	+	0.466967i	$0.154653\pi$
$432$	−1.14084	−	3.88535i	−0.0548888	−	0.186934i
$433$	7.81419	−	17.1107i	0.375526	−	0.822287i	−0.623650	−	0.781703i	$-0.714351\pi$
$433$	7.81419	−	17.1107i	0.375526	−	0.822287i	0.999176	−	0.0405835i	$-0.0129217\pi$
$434$	−4.76433	+	34.2677i	−0.228695	+	1.64490i
$435$	0.687117	+	1.06917i	0.0329447	+	0.0512630i
$436$			0.182865i			0.00875766i
$437$	−16.3341	+	18.0873i	−0.781368	+	0.865235i
$438$	−2.82274			−0.134876
$439$	16.5158	+	25.6991i	0.788255	+	1.22655i	0.969976	+	0.243199i	$0.0781969\pi$
$439$	16.5158	+	25.6991i	0.788255	+	1.22655i	−0.181721	+	0.983350i	$0.558167\pi$
$440$	19.4341	+	2.79420i	0.926484	+	0.133208i
$441$	2.84853	−	6.39421i	0.135644	−	0.304486i
$442$	−9.49386	−	32.3331i	−0.451577	−	1.53793i
$443$	6.13047	+	13.4239i	0.291267	+	0.637786i	0.997536	−	0.0701575i	$-0.0223502\pi$
$443$	6.13047	+	13.4239i	0.291267	+	0.637786i	−0.706269	+	0.707944i	$0.749623\pi$
$444$	0.0870723	+	0.100487i	0.00413227	+	0.00476889i
$445$	−1.72988	−	12.0316i	−0.0820043	−	0.570353i
$446$	−7.52382	+	25.6238i	−0.356263	+	1.21332i
$447$	−14.2788	+	16.4786i	−0.675362	+	0.779409i
$448$	−11.2147	+	17.6302i	−0.529845	+	0.832950i
$449$	0.438166	+	0.281592i	0.0206783	+	0.0132891i	0.550939	−	0.834545i	$-0.314270\pi$
$449$	0.438166	+	0.281592i	0.0206783	+	0.0132891i	−0.530261	+	0.847835i	$0.677906\pi$
$450$	1.19313	−	1.37695i	0.0562448	−	0.0649099i
$451$	−12.3320	−	3.62101i	−0.580693	−	0.170507i
$452$	0.322661	−	0.0463917i	0.0151767	−	0.00218208i
$453$	−8.03792	+	6.96490i	−0.377655	+	0.327239i
$454$	−16.6881	−	36.5418i	−0.783209	−	1.71499i
$455$	−19.3096	+	5.76752i	−0.905247	+	0.270386i
$456$	12.9915	+	5.93301i	0.608381	+	0.277839i
$457$	18.0033	+	2.58848i	0.842158	+	0.121084i	0.549874	−	0.835247i	$-0.314676\pi$
$457$	18.0033	+	2.58848i	0.842158	+	0.121084i	0.292284	+	0.956332i	$0.405585\pi$
$458$	9.98935	−	6.41977i	0.466772	−	0.299976i
$459$			5.99604i			0.279871i
$460$	−0.100363	+	0.208347i	−0.00467946	+	0.00971425i
$461$			15.0499i			0.700943i	0.936573	+	0.350472i	$0.113979\pi$
$461$			15.0499i			0.700943i	−0.936573	+	0.350472i	$0.886021\pi$
$462$	7.42635	+	11.4383i	0.345505	+	0.532156i
$463$	3.05618	−	21.2562i	0.142033	−	0.987859i	−0.786760	−	0.617259i	$-0.788243\pi$
$463$	3.05618	−	21.2562i	0.142033	−	0.987859i	0.928793	−	0.370600i	$-0.120848\pi$
$464$	1.10851	−	2.42731i	0.0514615	−	0.112685i
$465$	−17.0049	+	4.99309i	−0.788583	+	0.231549i
$466$	2.66707	+	5.84007i	0.123550	+	0.270536i
$467$	−3.30781	−	3.81741i	−0.153067	−	0.176649i	0.674037	−	0.738697i	$-0.264559\pi$
$467$	−3.30781	−	3.81741i	−0.153067	−	0.176649i	−0.827104	+	0.562049i	$0.810013\pi$
$468$	−0.0977399	+	0.0140529i	−0.00451803	+	0.000649595i
$469$	−11.8458	−	3.41846i	−0.546988	−	0.157850i
$470$	17.9268	+	15.5337i	0.826903	+	0.716515i
$471$	12.2804	−	19.1087i	0.565850	−	0.880480i
$472$	−5.54607	+	8.62986i	−0.255279	+	0.397221i
$473$	−27.5725	+	31.8203i	−1.26778	+	1.46310i
$474$	15.7807	+	4.63363i	0.724831	+	0.212829i
$475$	0.925956	+	6.44016i	0.0424858	+	0.295495i
$476$	−0.298551	+	0.261138i	−0.0136841	+	0.0119692i
$477$	−5.53565	+	2.52805i	−0.253460	+	0.115751i
$478$	3.42231	−	1.00488i	0.156533	−	0.0459622i
$479$	1.76548	−	3.86587i	0.0806671	−	0.176636i	−0.865001	−	0.501770i	$-0.832682\pi$
$479$	1.76548	−	3.86587i	0.0806671	−	0.176636i	0.945668	+	0.325134i	$0.105409\pi$
$480$	0.269988	+	0.0388184i	0.0123232	+	0.00177181i
$481$	−17.6685	+	11.3549i	−0.805616	+	0.517738i
$482$	−9.12099			−0.415450
$483$	12.2298	−	3.38128i	0.556473	−	0.153854i
$484$	−0.0530205			−0.00241002
$485$	−16.0866	+	10.3383i	−0.730457	+	0.469436i
$486$	1.40854	+	0.202518i	0.0638927	+	0.00918639i
$487$	−7.27953	+	15.9399i	−0.329867	+	0.722308i	−0.999798	−	0.0201157i	$-0.993597\pi$
$487$	−7.27953	+	15.9399i	−0.329867	+	0.722308i	0.669931	+	0.742424i	$0.266324\pi$
$488$	−22.3761	+	6.57022i	−1.01292	+	0.297420i
$489$	14.5417	−	6.64096i	0.657597	−	0.300314i
$490$	12.7154	+	14.4014i	0.574425	+	0.650590i
$491$	−1.85645	−	12.9119i	−0.0837803	−	0.582705i	−0.987861	−	0.155343i	$-0.950352\pi$
$491$	−1.85645	−	12.9119i	−0.0837803	−	0.582705i	0.904080	−	0.427363i	$-0.140557\pi$
$492$	−0.0851224	−	0.0249942i	−0.00383762	−	0.00112683i
$493$	−2.58752	+	2.98616i	−0.116536	+	0.134490i
$494$	15.4406	−	24.0260i	0.694705	−	1.08098i
$495$	−3.77691	+	5.87699i	−0.169760	+	0.264151i
$496$	28.1221	+	24.3679i	1.26272	+	1.09415i
$497$	2.20035	−	7.62474i	0.0986990	−	0.342017i
$498$	−2.05001	+	0.294747i	−0.0918631	+	0.0132079i
$499$	−15.7897	−	18.2223i	−0.706845	−	0.815742i	0.282815	−	0.959174i	$-0.408732\pi$
$499$	−15.7897	−	18.2223i	−0.706845	−	0.815742i	−0.989660	+	0.143432i	$0.954186\pi$
$500$	0.125807	+	0.275478i	0.00562624	+	0.0123197i
$501$	−18.3009	+	5.37362i	−0.817622	+	0.240076i
$502$	13.8512	−	30.3300i	0.618211	−	1.35369i
$503$	5.88442	−	40.9271i	0.262373	−	1.82485i	−0.252519	−	0.967592i	$-0.581259\pi$
$503$	5.88442	−	40.9271i	0.262373	−	1.82485i	0.514892	−	0.857255i	$-0.327832\pi$
$504$	−4.04916	−	6.23663i	−0.180364	−	0.277802i
$505$			25.4466i			1.13236i
$506$	−7.44950	+	23.5711i	−0.331171	+	1.04786i
$507$		−	2.59760i		−	0.115363i
$508$	−0.262856	+	0.168927i	−0.0116623	+	0.00749493i
$509$	37.9634	+	5.45832i	1.68270	+	0.241936i	0.916319	−	0.400450i	$-0.131146\pi$
$509$	37.9634	+	5.45832i	1.68270	+	0.241936i	0.766381	+	0.642386i	$0.222055\pi$
$510$	−14.9690	−	6.83614i	−0.662841	−	0.302709i
$511$	−5.02864	+	1.50199i	−0.222454	+	0.0664441i
$512$	9.21750	+	20.1835i	0.407360	+	0.891993i
$513$	−3.84053	+	3.32784i	−0.169564	+	0.146928i
$514$	20.8711	−	3.00081i	0.920584	−	0.132360i
$515$	20.5111	+	6.02261i	0.903828	+	0.265388i
$516$	−0.190320	+	0.219641i	−0.00837839	+	0.00966917i
$517$	26.3369	+	16.9257i	1.15830	+	0.744392i
$518$	16.8937	+	10.7462i	0.742268	+	0.472161i
$519$	−3.22107	+	3.71731i	−0.141389	+	0.163172i
$520$	−6.03110	+	20.5400i	−0.264481	+	0.900740i
$521$	−4.51939	−	31.4331i	−0.197998	−	1.37711i	−0.810083	−	0.586316i	$-0.800578\pi$
$521$	−4.51939	−	31.4331i	−0.197998	−	1.37711i	0.612085	−	0.790792i	$-0.290331\pi$
$522$	0.614090	+	0.708698i	0.0268780	+	0.0310189i
$523$	11.0201	+	24.1307i	0.481877	+	1.05516i	0.981943	+	0.189177i	$0.0605819\pi$
$523$	11.0201	+	24.1307i	0.481877	+	1.05516i	−0.500066	+	0.865987i	$0.666691\pi$
$524$	0.0835920	+	0.284688i	0.00365173	+	0.0124367i
$525$	1.39285	−	3.08787i	0.0607892	−	0.134766i
$526$	−32.5405	−	4.67862i	−1.41883	−	0.203998i
$527$	−29.7889	−	46.3524i	−1.29762	−	2.01914i
$528$	14.6678			0.638335
$529$	18.8226	+	13.2178i	0.818374	+	0.574685i
$530$		−	16.7020i		−	0.725486i
$531$	−1.97336	−	3.07061i	−0.0856365	−	0.133253i
$532$	−0.332959	−	0.0462922i	−0.0144356	−	0.00200702i
$533$	5.82139	−	12.7471i	0.252153	−	0.552137i
$534$	−2.52677	−	8.60538i	−0.109344	−	0.372391i
$535$	21.0969	−	9.63463i	0.912098	−	0.416541i
$536$	−9.89789	+	8.57657i	−0.427524	+	0.370452i
$537$	3.38204	−	0.486263i	0.145946	−	0.0209838i
$538$	−2.84074	+	9.67466i	−0.122473	+	0.417104i
$539$	19.3162	+	16.4254i	0.832008	+	0.707492i
$540$	−0.0260703	+	0.0405662i	−0.00112189	+	0.00174569i
$541$	0.925855	+	0.595011i	0.0398056	+	0.0255815i	0.560392	−	0.828227i	$-0.310650\pi$
$541$	0.925855	+	0.595011i	0.0398056	+	0.0255815i	−0.520587	+	0.853809i	$0.674287\pi$
$542$	−17.0562	−	14.7793i	−0.732625	−	0.634823i
$543$	4.24749	−	14.4656i	0.182277	−	0.620780i
$544$	0.120684	+	0.839377i	0.00517429	+	0.0359880i
$545$	−10.6604	+	9.23731i	−0.456642	+	0.395683i
$546$	−13.4967	+	6.23979i	−0.577606	+	0.267039i
$547$	22.7293	−	6.67394i	0.971837	−	0.285357i	0.242986	−	0.970030i	$-0.421873\pi$
$547$	22.7293	−	6.67394i	0.971837	−	0.285357i	0.728851	+	0.684673i	$0.240055\pi$
$548$	−0.119148	−	0.0544131i	−0.00508975	−	0.00232441i
$549$	1.18090	−	8.21335i	0.0503997	−	0.350537i
$550$	3.56800	+	5.55192i	0.152140	+	0.236735i
$551$	−3.34876			−0.142662
$552$	4.06178	−	12.8520i	0.172881	−	0.547016i
$553$	30.5784	−	0.142271i	1.30033	−	0.00604997i
$554$	−12.7501	+	8.19398i	−0.541699	+	0.348129i
$555$	−1.45964	+	10.1520i	−0.0619584	+	0.430930i
$556$	−0.254494	−	0.116223i	−0.0107929	−	0.00492897i
$557$	1.61221	+	5.49067i	0.0683113	+	0.232647i	0.986571	−	0.163331i	$-0.0522238\pi$
$557$	1.61221	+	5.49067i	0.0683113	+	0.232647i	−0.918260	+	0.395978i	$0.870406\pi$
$558$	−11.8949	+	5.43220i	−0.503550	+	0.229963i
$559$	−30.0627	−	34.6942i	−1.27152	−	1.46741i
$560$	20.4386	−	3.03575i	0.863687	−	0.128284i
$561$	−20.8393	−	6.11897i	−0.879835	−	0.258343i
$562$	−5.70124	−	4.94016i	−0.240492	−	0.208388i
$563$	19.0851	+	12.2653i	0.804341	+	0.516919i	0.877030	−	0.480436i	$-0.159521\pi$
$563$	19.0851	+	12.2653i	0.804341	+	0.516919i	−0.0726884	+	0.997355i	$0.523158\pi$
$564$	0.181792	+	0.116830i	0.00765482	+	0.00491945i
$565$	19.0035	+	16.4666i	0.799482	+	0.692755i
$566$	−1.83986	−	0.540232i	−0.0773352	−	0.0227077i
$567$	2.61704	−	0.388710i	0.109905	−	0.0163243i
$568$	−5.52045	−	6.37094i	−0.231633	−	0.267319i
$569$	18.8193	−	8.59449i	0.788946	−	0.360300i	0.0201527	−	0.999797i	$-0.493585\pi$
$569$	18.8193	−	8.59449i	0.788946	−	0.360300i	0.768793	+	0.639497i	$0.220857\pi$
$570$	−3.92929	−	13.3819i	−0.164580	−	0.560508i
$571$	−6.33950	−	2.89515i	−0.265300	−	0.121158i	0.278324	−	0.960487i	$-0.410221\pi$
$571$	−6.33950	−	2.89515i	−0.265300	−	0.121158i	−0.543624	+	0.839329i	$0.682948\pi$
$572$	0.0509028	−	0.354037i	0.00212835	−	0.0148030i
$573$	−7.58040	+	4.87163i	−0.316676	+	0.203515i
$574$	−13.3590	+	0.0621547i	−0.557593	+	0.00259429i
$575$	5.92583	−	1.60873i	0.247124	−	0.0670887i
$576$	−7.89750			−0.329063
$577$	0.790946	+	1.23074i	0.0329275	+	0.0512362i	0.857327	−	0.514772i	$-0.172123\pi$
$577$	0.790946	+	1.23074i	0.0329275	+	0.0512362i	−0.824400	+	0.566008i	$0.808487\pi$
$578$	3.83821	−	26.6953i	0.159648	−	1.11038i
$579$	11.1810	+	5.10620i	0.464667	+	0.212206i
$580$	−0.0304895	+	0.00895252i	−0.00126601	+	0.000371733i
$581$	−3.49520	+	1.61590i	−0.145005	+	0.0670389i
$582$	−10.6630	+	9.23951i	−0.441994	+	0.382990i
$583$	−3.13711	−	21.8191i	−0.129926	−	0.903654i
$584$	−1.57063	+	5.34908i	−0.0649932	+	0.221347i
$585$	−5.75650	−	4.98803i	−0.238002	−	0.206230i
$586$	11.7811	+	7.57122i	0.486671	+	0.312764i
$587$	0.846578	−	1.31730i	0.0349420	−	0.0543708i	−0.823343	−	0.567544i	$-0.807894\pi$
$587$	0.846578	−	1.31730i	0.0349420	−	0.0543708i	0.858285	+	0.513173i	$0.171530\pi$
$588$	0.133331	+	0.113377i	0.00549848	+	0.00467559i
$589$	13.1562	−	44.8060i	0.542093	−	1.84620i
$590$	9.91559	−	1.42565i	0.408218	−	0.0586929i
$591$	−11.4286	+	9.90291i	−0.470108	+	0.407351i
$592$	19.5884	−	8.94573i	0.805079	−	0.367667i
$593$	8.78324	+	29.9130i	0.360684	+	1.22838i	0.917498	+	0.397741i	$0.130206\pi$
$593$	8.78324	+	29.9130i	0.360684	+	1.22838i	−0.556814	+	0.830637i	$0.687976\pi$
$594$	−2.14127	+	4.68873i	−0.0878574	+	0.192381i
$595$	−30.3045	−	4.21332i	−1.24236	−	0.172729i
$596$	−0.294738	−	0.458622i	−0.0120729	−	0.0187859i
$597$			2.66618i			0.109120i
$598$	−24.2824	−	11.6971i	−0.992983	−	0.478330i
$599$	44.5651			1.82088			0.910441	−	0.413639i	$-0.135742\pi$
$599$	44.5651			1.82088			0.910441	+	0.413639i	$0.135742\pi$
$600$	−1.94543	−	3.02714i	−0.0794217	−	0.123583i
$601$	8.60352	+	1.23700i	0.350945	+	0.0504582i	0.315533	−	0.948915i	$-0.397817\pi$
$601$	8.60352	+	1.23700i	0.350945	+	0.0504582i	0.0354116	+	0.999373i	$0.488726\pi$
$602$	−17.9946	+	39.8928i	−0.733405	+	1.62591i
$603$	−1.31287	−	4.47123i	−0.0534643	−	0.182083i
$604$	−0.110467	−	0.241890i	−0.00449486	−	0.00984236i
$605$	−2.67829	−	3.09091i	−0.108888	−	0.125663i
$606$	2.67203	+	18.5843i	0.108544	+	0.754937i
$607$	−5.74630	+	19.5701i	−0.233235	+	0.794326i	0.756817	+	0.653627i	$0.226753\pi$
$607$	−5.74630	+	19.5701i	−0.233235	+	0.794326i	−0.990052	+	0.140700i	$0.955065\pi$
$608$	−0.470650	+	0.543159i	−0.0190874	+	0.0220280i
$609$	1.47109	+	0.935768i	0.0596114	+	0.0379192i
$610$	19.1582	+	12.3122i	0.775693	+	0.498507i
$611$	−22.3532	+	25.7969i	−0.904312	+	1.04363i
$612$	−0.143844	−	0.0422365i	−0.00581456	−	0.00170731i
$613$	22.7573	−	3.27200i	0.919158	−	0.132155i	0.333534	−	0.942738i	$-0.391759\pi$
$613$	22.7573	−	3.27200i	0.919158	−	0.132155i	0.585624	+	0.810583i	$0.300850\pi$
$614$	−21.4259	+	18.5656i	−0.864678	+	0.749248i
$615$	−2.84282	−	6.22491i	−0.114634	−	0.251013i
$616$	25.8076	−	7.70841i	1.03982	−	0.310581i
$617$	−6.25653	−	2.85726i	−0.251878	−	0.115029i	0.285475	−	0.958386i	$-0.407849\pi$
$617$	−6.25653	−	2.85726i	−0.251878	−	0.115029i	−0.537353	+	0.843357i	$0.680576\pi$
$618$	15.6123	+	2.24470i	0.628017	+	0.0902953i
$619$	28.6401	−	18.4059i	1.15114	−	0.739794i	0.181276	−	0.983432i	$-0.441977\pi$
$619$	28.6401	−	18.4059i	1.15114	−	0.739794i	0.969866	+	0.243638i	$0.0783409\pi$
$620$		−	0.443117i		−	0.0177960i
$621$	3.55927	+	3.21428i	0.142829	+	0.128984i
$622$		−	31.4139i		−	1.25958i
$623$	−9.08032	−	13.9858i	−0.363795	−	0.560327i
$624$	−2.27598	+	15.8298i	−0.0911119	+	0.633697i
$625$	−7.04502	+	15.4264i	−0.281801	+	0.617058i
$626$	16.6874	−	4.89985i	0.666961	−	0.195837i
$627$	−7.64667	−	16.7439i	−0.305379	−	0.668686i
$628$	0.371910	+	0.429208i	0.0148408	+	0.0171272i
$629$	−31.5621	+	4.53795i	−1.25846	+	0.180940i
$630$	−2.01330	+	6.97659i	−0.0802119	+	0.277954i
$631$	−21.6672	−	18.7747i	−0.862557	−	0.747410i	0.106483	−	0.994315i	$-0.466041\pi$
$631$	−21.6672	−	18.7747i	−0.862557	−	0.747410i	−0.969040	+	0.246905i	$0.920586\pi$
$632$	17.5614	−	27.3261i	0.698555	−	1.08697i
$633$	9.50844	−	14.7954i	0.377927	−	0.588065i
$634$	−11.2882	+	13.0273i	−0.448311	+	0.517379i
$635$	−23.1258	−	6.79036i	−0.917721	−	0.269467i
$636$	−0.0216541	−	0.150607i	−0.000858640	−	0.00597197i
$637$	−20.7238	+	18.2977i	−0.821108	+	0.724981i
$638$	−3.08977	+	1.41105i	−0.122325	+	0.0558640i
$639$	2.87798	−	0.845052i	0.113851	−	0.0334297i
$640$	9.23064	−	20.2123i	0.364873	−	0.798960i
$641$	−8.02303	−	1.15354i	−0.316891	−	0.0455620i	−0.0179656	−	0.999839i	$-0.505719\pi$
$641$	−8.02303	−	1.15354i	−0.316891	−	0.0455620i	−0.298925	+	0.954277i	$0.596628\pi$
$642$	14.3960	−	9.25173i	0.568164	−	0.365137i
$643$	6.26910			0.247229			0.123615	−	0.992330i	$-0.460551\pi$
$643$	6.26910			0.247229			0.123615	+	0.992330i	$0.460551\pi$
$644$	−0.00503069	+	0.317208i	−0.000198237	+	0.0124998i
$645$	−22.4182			−0.882717
$646$	36.4769	−	23.4422i	1.43516	−	0.922323i
$647$	−19.3260	−	2.77866i	−0.759782	−	0.109240i	−0.248475	−	0.968638i	$-0.579929\pi$
$647$	−19.3260	−	2.77866i	−0.759782	−	0.109240i	−0.511307	+	0.859398i	$0.670839\pi$
$648$	1.16751	−	2.55650i	0.0458642	−	0.100429i
$649$	12.6857	−	3.72487i	0.497959	−	0.146214i
$650$	−6.54537	+	2.98917i	−0.256730	+	0.117245i
$651$	−18.2999	+	16.0066i	−0.717230	+	0.627349i
$652$	0.0568833	+	0.395632i	0.00222772	+	0.0154942i
$653$	−17.3295	−	5.08841i	−0.678156	−	0.199125i	−0.0755245	−	0.997144i	$-0.524063\pi$
$653$	−17.3295	−	5.08841i	−0.678156	−	0.199125i	−0.602632	+	0.798019i	$0.705881\pi$
$654$	−6.81564	+	7.86567i	−0.266513	+	0.307572i
$655$	−12.3738	+	19.2539i	−0.483483	+	0.752314i
$656$	−7.76807	+	12.0874i	−0.303292	+	0.471932i
$657$	−1.49912	−	1.29899i	−0.0584862	−	0.0506786i
$658$	31.2646	+	9.02233i	1.21882	+	0.351727i
$659$	1.19346	−	0.171594i	0.0464906	−	0.00668435i	−0.119030	−	0.992891i	$-0.537979\pi$
$659$	1.19346	−	0.171594i	0.0464906	−	0.00668435i	0.165521	+	0.986206i	$0.447069\pi$
$660$	−0.114383	−	0.132006i	−0.00445237	−	0.00513831i
$661$	−8.29407	−	18.1615i	−0.322602	−	0.706399i	0.676959	−	0.736020i	$-0.263297\pi$
$661$	−8.29407	−	18.1615i	−0.322602	−	0.706399i	−0.999561	+	0.0296210i	$0.990570\pi$
$662$	−30.3718	+	8.91796i	−1.18043	+	0.346606i
$663$	9.83729	−	21.5407i	0.382049	−	0.836570i
$664$	−0.582124	+	4.04876i	−0.0225908	+	0.157122i
$665$	−14.1205	−	21.7488i	−0.547570	−	0.843383i
$666$			7.56759i			0.293238i
$667$	0.385513	+	3.13674i	0.0149271	+	0.121455i
$668$		−	0.476888i		−	0.0184513i
$669$	−15.7876	+	10.1461i	−0.610383	+	0.392269i
$670$	12.6592	+	1.82012i	0.489068	+	0.0703174i
$671$	27.3405	+	12.4860i	1.05547	+	0.482016i
$672$	0.358532	−	0.107089i	0.0138307	−	0.00413105i
$673$	−0.273882	−	0.599718i	−0.0105574	−	0.0231174i	0.904280	−	0.426940i	$-0.140409\pi$
$673$	−0.273882	−	0.599718i	−0.0105574	−	0.0231174i	−0.914837	+	0.403823i	$0.867681\pi$
$674$	13.0226	−	11.2842i	0.501612	−	0.434650i
$675$	1.26731	−	0.182212i	0.0487789	−	0.00701334i
$676$	0.0623160	+	0.0182976i	0.00239677	+	0.000703755i
$677$	17.3084	−	19.9750i	0.665216	−	0.767701i	−0.318404	−	0.947955i	$-0.603147\pi$
$677$	17.3084	−	19.9750i	0.665216	−	0.767701i	0.983620	+	0.180255i	$0.0576922\pi$
$678$	15.6079	+	10.0306i	0.599416	+	0.385221i
$679$	−14.0794	+	22.1338i	−0.540319	+	0.849415i
$680$	−21.2835	+	24.5625i	−0.816187	+	0.941930i
$681$	7.95331	−	27.0865i	0.304771	−	1.03796i
$682$	−6.74094	−	46.8843i	−0.258124	−	1.79529i
$683$	26.8596	+	30.9976i	1.02775	+	1.18609i	0.982337	+	0.187122i	$0.0599158\pi$
$683$	26.8596	+	30.9976i	1.02775	+	1.18609i	0.0454158	+	0.998968i	$0.485539\pi$
$684$	−0.0527815	−	0.115575i	−0.00201815	−	0.00441914i
$685$	−2.84658	−	9.69456i	−0.108762	−	0.370410i
$686$	24.1236	+	10.6125i	0.921045	+	0.405188i
$687$	8.25951	+	1.18754i	0.315120	+	0.0453074i
$688$	25.4476	+	39.5973i	0.970182	+	1.50963i
$689$	24.0343			0.915635
$690$	−12.0824	+	5.22107i	−0.459968	+	0.198763i
$691$		−	12.7692i		−	0.485762i	−0.970056	−	0.242881i	$-0.921908\pi$
$691$		−	12.7692i		−	0.485762i	0.970056	−	0.242881i	$-0.0780924\pi$
$692$	−0.0664885	−	0.103458i	−0.00252751	−	0.00393289i
$693$	−1.31973	+	9.49223i	−0.0501324	+	0.360580i
$694$	16.7196	−	36.6108i	0.634667	−	1.38973i
$695$	−6.08014	−	20.7070i	−0.230633	−	0.785463i
$696$	1.68467	−	0.769364i	0.0638573	−	0.0291627i
$697$	16.0790	−	13.9325i	0.609034	−	0.527731i
$698$	38.4410	−	5.52698i	1.45501	−	0.209199i
$699$	−1.27109	+	4.32894i	−0.0480771	+	0.163735i
$700$	0.0642662	+	0.0551655i	0.00242903	+	0.00208506i
$701$	6.27919	−	9.77060i	0.237162	−	0.369031i	−0.702188	−	0.711991i	$-0.747793\pi$
$701$	6.27919	−	9.77060i	0.237162	−	0.369031i	0.939350	+	0.342961i	$0.111430\pi$
$702$	−4.72790	−	3.03844i	−0.178443	−	0.114678i
$703$	−20.4238	−	17.6973i	−0.770297	−	0.667467i
$704$	8.05942	−	27.4479i	0.303751	−	1.03448i
$705$	2.37226	+	16.4994i	0.0893446	+	0.621405i
$706$	−16.6817	+	14.4548i	−0.627825	+	0.544013i
$707$	14.6489	+	31.6857i	0.550930	+	1.19166i
$708$	0.0875640	−	0.0257111i	0.00329086	−	0.000966283i
$709$	−2.69834	−	1.23229i	−0.101338	−	0.0462797i	0.364101	−	0.931360i	$-0.381376\pi$
$709$	−2.69834	−	1.23229i	−0.101338	−	0.0462797i	−0.465439	+	0.885080i	$0.654104\pi$
$710$	−1.17155	+	8.14831i	−0.0439675	+	0.305800i
$711$	6.24856	+	9.72295i	0.234339	+	0.364639i
$712$	−17.7131			−0.663826
$713$	−43.4838	−	7.16516i	−1.62848	−	0.268337i
$714$	−22.5747	+	0.105032i	−0.844836	+	0.00393073i
$715$	23.2105	−	14.9165i	0.868022	−	0.557844i
$716$	−0.0121579	+	0.0845599i	−0.000454361	+	0.00316015i
$717$	2.27998	+	1.04123i	0.0851473	+	0.0388855i
$718$	−3.85927	−	13.1435i	−0.144027	−	0.490510i
$719$	22.3824	−	10.2217i	0.834723	−	0.381205i	0.0482539	−	0.998835i	$-0.484634\pi$
$719$	22.3824	−	10.2217i	0.834723	−	0.381205i	0.786469	+	0.617630i	$0.211907\pi$
$720$	5.11433	+	5.90225i	0.190600	+	0.219964i
$721$	29.0073	−	4.30846i	1.08029	−	0.160455i
$722$	9.31764	+	2.73591i	0.346767	+	0.101820i
$723$	−4.84403	−	4.19738i	−0.180152	−	0.156102i
$724$	0.317109	+	0.203794i	0.0117853	+	0.00757394i
$725$	0.709780	+	0.456148i	0.0263606	+	0.0169409i
$726$	−2.28059	−	1.97615i	−0.0846408	−	0.0733417i
$727$	−18.4148	−	5.40707i	−0.682967	−	0.200537i	−0.0781977	−	0.996938i	$-0.524917\pi$
$727$	−18.4148	−	5.40707i	−0.682967	−	0.200537i	−0.604769	+	0.796401i	$0.706735\pi$
$728$	4.31453	+	29.0482i	0.159907	+	1.07660i
$729$	0.654861	+	0.755750i	0.0242541	+	0.0279907i
$730$	4.95208	−	2.26154i	0.183285	−	0.0837034i
$731$	−19.6359	−	66.8738i	−0.726261	−	2.47342i
$732$	0.188719	+	0.0861851i	0.00697525	+	0.00318549i
$733$	−2.06957	+	14.3942i	−0.0764414	+	0.531661i	0.915236	+	0.402917i	$0.132004\pi$
$733$	−2.06957	+	14.3942i	−0.0764414	+	0.531661i	−0.991678	+	0.128744i	$0.958905\pi$
$734$	−0.622719	+	0.400197i	−0.0229850	+	0.0147715i
$735$	0.125623	+	13.4999i	0.00463369	+	0.497951i
$736$	0.562953	+	0.378323i	0.0207507	+	0.0139452i
$737$	16.8796			0.621768
$738$	−2.72984	−	4.24772i	−0.100487	−	0.156361i
$739$	2.85983	−	19.8906i	0.105201	−	0.731686i	−0.867131	−	0.498080i	$-0.834038\pi$
$739$	2.85983	−	19.8906i	0.105201	−	0.731686i	0.972331	−	0.233606i	$-0.0750525\pi$
$740$	−0.233264	−	0.106528i	−0.00857497	−	0.00391606i
$741$	19.2568	−	5.65431i	0.707416	−	0.207716i
$742$	−9.61489	−	20.7971i	−0.352974	−	0.763484i
$743$	−39.0109	+	33.8031i	−1.43117	+	1.24012i	−0.504943	+	0.863153i	$0.668486\pi$
$743$	−39.0109	+	33.8031i	−1.43117	+	1.24012i	−0.926228	+	0.376964i	$0.876968\pi$
$744$	3.67545	+	25.5633i	0.134748	+	0.937196i
$745$	11.8476	−	40.3492i	0.434062	−	1.47828i
$746$	−39.6259	−	34.3360i	−1.45081	−	1.25713i
$747$	−1.22437	−	0.786855i	−0.0447974	−	0.0287895i
$748$	0.293587	−	0.456830i	0.0107346	−	0.0167033i
$749$	20.7232	−	24.1419i	0.757209	−	0.882125i
$750$	−4.85607	+	16.5382i	−0.177318	+	0.603891i
$751$	−12.8616	+	1.84922i	−0.469327	+	0.0674791i	−0.372921	−	0.927863i	$-0.621644\pi$
$751$	−12.8616	+	1.84922i	−0.469327	+	0.0674791i	−0.0964060	+	0.995342i	$0.530735\pi$
$752$	26.4501	−	22.9192i	0.964537	−	0.835776i
$753$	21.3137	−	9.73365i	0.776715	−	0.354714i
$754$	−1.04340	−	3.55348i	−0.0379982	−	0.129410i
$755$	8.52117	−	18.6588i	0.310117	−	0.679062i
$756$	−0.00910950	+	0.0655206i	−0.000331309	+	0.00238296i
$757$	15.2190	+	23.6812i	0.553143	+	0.860707i	0.999415	−	0.0341901i	$-0.0108852\pi$
$757$	15.2190	+	23.6812i	0.553143	+	0.860707i	−0.446273	+	0.894897i	$0.647249\pi$
$758$		−	22.6720i		−	0.823485i
$759$	−14.8035	+	9.09012i	−0.537333	+	0.329950i
$760$	−27.5451			−0.999165
$761$	0.140426	+	0.218508i	0.00509046	+	0.00792090i	0.843789	−	0.536674i	$-0.180320\pi$
$761$	0.140426	+	0.218508i	0.00509046	+	0.00792090i	−0.838699	+	0.544595i	$0.816683\pi$
$762$	−17.6025	−	2.53086i	−0.637671	−	0.0916832i
$763$	−7.95654	+	17.6391i	−0.288046	+	0.638579i
$764$	−0.0634729	−	0.216169i	−0.00229637	−	0.00782072i
$765$	−4.80394	−	10.5192i	−0.173687	−	0.380321i
$766$	16.5744	+	19.1278i	0.598856	+	0.691116i
$767$	2.05152	+	14.2687i	0.0740762	+	0.515211i
$768$	0.169031	−	0.575667i	0.00609939	−	0.0207726i
$769$	−17.7375	+	20.4702i	−0.639630	+	0.738173i	−0.979309	−	0.202369i	$-0.935136\pi$
$769$	−17.7375	+	20.4702i	−0.639630	+	0.738173i	0.339679	+	0.940541i	$0.389682\pi$
$770$	−22.1926	−	14.1169i	−0.799767	−	0.508737i
$771$	12.4653	+	8.01095i	0.448926	+	0.288507i
$772$	−0.201257	+	0.232263i	−0.00724340	+	0.00835933i
$773$	−26.5202	−	7.78704i	−0.953867	−	0.280081i	−0.232471	−	0.972603i	$-0.574681\pi$
$773$	−26.5202	−	7.78704i	−0.953867	−	0.280081i	−0.721396	+	0.692523i	$0.756499\pi$
$774$	−16.3727	+	2.35404i	−0.588504	+	0.0846141i
$775$	−8.89171	+	7.70471i	−0.319400	+	0.276761i
$776$	11.5757	+	25.3473i	0.415545	+	0.909916i
$777$	4.02674	+	13.4815i	0.144459	+	0.483645i
$778$	−8.79238	−	4.01534i	−0.315222	−	0.143957i
$779$	17.8479	+	2.56614i	0.639466	+	0.0919413i
$780$	0.160211	−	0.102962i	0.00573649	−	0.00368662i
$781$			10.8648i			0.388774i
$782$	−26.1573	−	31.4687i	−0.935385	−	1.12532i
$783$			0.658977i			0.0235499i
$784$	23.7023	−	15.5460i	0.846509	−	0.555216i
$785$	−6.23455	+	43.3622i	−0.222520	+	1.54766i
$786$	−7.01514	+	15.3610i	−0.250222	+	0.547909i
$787$	−0.701998	+	0.206125i	−0.0250235	+	0.00734757i	−0.294220	−	0.955738i	$-0.595060\pi$
$787$	−0.701998	+	0.206125i	−0.0250235	+	0.00734757i	0.269197	+	0.963085i	$0.413242\pi$
$788$	−0.157066	−	0.343927i	−0.00559524	−	0.0122519i
$789$	−15.1288	−	17.4595i	−0.538599	−	0.621576i
$790$	−31.3973	+	4.51425i	−1.11707	+	0.160610i
$791$	33.1423	+	9.56419i	1.17840	+	0.340063i
$792$	7.69368	+	6.66661i	0.273383	+	0.236888i
$793$	−17.7175	+	27.5689i	−0.629165	+	0.979000i
$794$	12.9427	−	20.1392i	0.459318	−	0.714713i
$795$	7.68605	−	8.87018i	0.272596	−	0.314593i
$796$	−0.0639614	−	0.0187808i	−0.00226705	−	0.000665666i
$797$	−2.86484	−	19.9254i	−0.101478	−	0.705793i	−0.975515	−	0.219934i	$-0.929416\pi$
$797$	−2.86484	−	19.9254i	−0.101478	−	0.705793i	0.874037	−	0.485859i	$-0.161493\pi$
$798$	−12.5964	−	14.4010i	−0.445906	−	0.509791i
$799$	−47.1402	+	21.5282i	−1.66770	+	0.761613i
$800$	0.173742	−	0.0510152i	0.00614270	−	0.00180366i
$801$	2.61817	−	5.73299i	0.0925084	−	0.202565i
$802$	11.4288	+	1.64322i	0.403566	+	0.0580240i
$803$	6.04452	−	3.88458i	0.213306	−	0.137084i
$804$	0.116512			0.00410907
$805$	−18.7463	+	15.7303i	−0.660720	+	0.554419i
$806$	51.6443			1.81909
$807$	−5.96085	+	3.83080i	−0.209832	+	0.134851i
$808$	36.7040	+	5.27724i	1.29124	+	0.185653i
$809$	2.37753	−	5.20605i	0.0835893	−	0.183035i	−0.863222	−	0.504825i	$-0.831557\pi$
$809$	2.37753	−	5.20605i	0.0835893	−	0.183035i	0.946811	+	0.321790i	$0.104284\pi$
$810$	−2.63333	+	0.773217i	−0.0925259	+	0.0271681i
$811$	1.24872	−	0.570271i	0.0438484	−	0.0200249i	−0.393370	−	0.919380i	$-0.628691\pi$
$811$	1.24872	−	0.570271i	0.0438484	−	0.0200249i	0.437219	+	0.899355i	$0.355964\pi$
$812$	−0.0328114	+	0.0286996i	−0.00115145	+	0.00100716i
$813$	−2.25705	−	15.6981i	−0.0791582	−	0.550557i
$814$	−26.3012	−	7.72274i	−0.921858	−	0.270682i
$815$	−20.1906	+	23.3012i	−0.707245	+	0.816205i
$816$	−13.1269	+	20.4258i	−0.459533	+	0.715047i
$817$	31.9354	−	49.6924i	1.11728	−	1.73852i
$818$	34.6288	+	30.0060i	1.21077	+	1.04913i
$819$	−10.0394	−	2.89717i	−0.350805	−	0.101235i
$820$	0.169360	−	0.0243503i	0.00591430	−	0.000850348i
$821$	11.4915	+	13.2618i	0.401054	+	0.462841i	0.919973	−	0.391982i	$-0.128211\pi$
$821$	11.4915	+	13.2618i	0.401054	+	0.462841i	−0.518918	+	0.854824i	$0.673665\pi$
$822$	−3.09692	−	6.78131i	−0.108017	−	0.236525i
$823$	13.8768	−	4.07459i	0.483715	−	0.142031i	−0.0307780	−	0.999526i	$-0.509798\pi$
$823$	13.8768	−	4.07459i	0.483715	−	0.142031i	0.514493	+	0.857495i	$0.327980\pi$
$824$	12.9407	−	28.3362i	0.450811	−	0.987138i
$825$	−0.660015	+	4.59050i	−0.0229788	+	0.159821i
$826$	11.5261	−	7.48335i	0.401043	−	0.260379i
$827$		−	3.92775i		−	0.136581i	−0.997665	−	0.0682907i	$-0.978245\pi$
$827$		−	3.92775i		−	0.136581i	0.997665	−	0.0682907i	$-0.0217545\pi$
$828$	−0.102182	+	0.0627450i	−0.00355106	+	0.00218054i
$829$			49.6126i			1.72312i	0.507658	+	0.861559i	$0.330511\pi$
$829$			49.6126i			1.72312i	−0.507658	+	0.861559i	$0.669489\pi$
$830$	3.36029	−	2.15953i	0.116637	−	0.0749584i
$831$	−10.5422	−	1.51574i	−0.365704	−	0.0525803i
$832$	28.3716	+	12.9569i	0.983610	+	0.449199i
$833$	−40.1603	+	12.1992i	−1.39147	+	0.422676i
$834$	−6.61485	−	14.4845i	−0.229053	−	0.501557i
$835$	27.8009	−	24.0896i	0.962091	−	0.833656i
$836$	0.455547	−	0.0654978i	0.0157554	−	0.00226529i
$837$	−8.81704	−	2.58892i	−0.304761	−	0.0894860i
$838$	−26.1159	+	30.1394i	−0.902160	+	1.04115i
$839$	13.9480	+	8.96383i	0.481538	+	0.309466i	0.758794	−	0.651330i	$-0.225789\pi$
$839$	13.9480	+	8.96383i	0.481538	+	0.309466i	−0.277256	+	0.960796i	$0.589425\pi$
$840$	12.1004	+	7.69712i	0.417502	+	0.265576i
$841$	18.7066	−	21.5886i	0.645055	−	0.744433i
$842$	−10.5585	+	35.9590i	−0.363871	+	1.23923i
$843$	−0.754448	−	5.24730i	−0.0259846	−	0.180727i
$844$	0.287962	+	0.332326i	0.00991207	+	0.0114391i
$845$	2.08116	+	4.55710i	0.0715941	+	0.156769i
$846$	3.46506	+	11.8009i	0.119131	+	0.405724i
$847$	−5.11433	−	2.30694i	−0.175731	−	0.0792674i
$848$	−24.3921	−	3.50705i	−0.837627	−	0.120433i
$849$	−0.728517	−	1.13359i	−0.0250026	−	0.0389049i
$850$	−10.9246			−0.374709
$851$	−14.2256	+	21.1680i	−0.487649	+	0.725631i
$852$			0.0749950i			0.00256929i
$853$	−5.05304	−	7.86269i	−0.173013	−	0.269213i	0.743908	−	0.668282i	$-0.232970\pi$
$853$	−5.05304	−	7.86269i	−0.173013	−	0.269213i	−0.916921	+	0.399068i	$0.869334\pi$
$854$	30.9434	+	4.30214i	1.05886	+	0.147216i
$855$	4.07143	−	8.91519i	0.139240	−	0.304893i
$856$	−9.52177	−	32.4282i	−0.325447	−	1.10837i
$857$	47.0135	−	21.4703i	1.60595	−	0.733413i	0.607793	−	0.794096i	$-0.292055\pi$
$857$	47.0135	−	21.4703i	1.60595	−	0.733413i	0.998157	+	0.0606832i	$0.0193280\pi$
$858$	15.3850	−	13.3311i	0.525234	−	0.455118i
$859$	44.9138	−	6.45762i	1.53244	−	0.220331i	0.676124	−	0.736788i	$-0.263658\pi$
$859$	44.9138	−	6.45762i	1.53244	−	0.220331i	0.856313	+	0.516457i	$0.172749\pi$
$860$	0.157916	−	0.537811i	0.00538487	−	0.0183392i
$861$	−7.12337	−	6.11464i	−0.242764	−	0.208386i
$862$	−19.4980	+	30.3395i	−0.664105	+	1.03337i
$863$	−17.6899	−	11.3686i	−0.602172	−	0.386992i	0.203743	−	0.979024i	$-0.434689\pi$
$863$	−17.6899	−	11.3686i	−0.602172	−	0.386992i	−0.805914	+	0.592032i	$0.798326\pi$
$864$	0.106884	+	0.0926158i	0.00363628	+	0.00315085i
$865$	2.67264	−	9.10216i	0.0908723	−	0.309483i
$866$	3.80947	+	26.4954i	0.129451	+	0.900352i
$867$	14.3233	−	12.4112i	0.486445	−	0.421507i
$868$	−0.255091	−	0.551764i	−0.00865837	−	0.0187281i
$869$	−40.1689	+	11.7946i	−1.36264	+	0.400106i
$870$	−1.64513	−	0.751306i	−0.0557751	−	0.0254717i
$871$	−2.61918	+	18.2168i	−0.0887474	+	0.617252i
$872$	11.1130	+	17.2922i	0.376335	+	0.585589i
$873$	−9.91487			−0.335568
$874$	5.63860	−	34.2194i	0.190728	−	1.15749i
$875$	0.149101	+	32.0464i	0.00504053	+	1.08337i
$876$	0.0417226	−	0.0268135i	0.00140968	−	0.000905943i
$877$	−1.93803	+	13.4793i	−0.0654425	+	0.455163i	0.930582	+	0.366083i	$0.119302\pi$
$877$	−1.93803	+	13.4793i	−0.0654425	+	0.455163i	−0.996025	+	0.0890792i	$0.971608\pi$
$878$	−39.5429	−	18.0587i	−1.33451	−	0.609450i
$879$	2.77256	+	9.44248i	0.0935162	+	0.318487i
$880$	−25.7325	+	11.7517i	−0.867443	+	0.396148i
$881$	7.56423	+	8.72959i	0.254845	+	0.294107i	0.868727	−	0.495291i	$-0.164938\pi$
$881$	7.56423	+	8.72959i	0.254845	+	0.294107i	−0.613882	+	0.789398i	$0.710393\pi$
$882$	1.50931	+	9.84617i	0.0508211	+	0.331538i
$883$	26.0409	+	7.64629i	0.876345	+	0.257318i	0.688812	−	0.724940i	$-0.258133\pi$
$883$	26.0409	+	7.64629i	0.876345	+	0.257318i	0.187533	+	0.982258i	$0.439951\pi$
$884$	0.447463	+	0.387729i	0.0150498	+	0.0130407i
$885$	5.92210	+	3.80590i	0.199069	+	0.127934i
$886$	−17.6665	−	11.3536i	−0.593519	−	0.381431i
$887$	16.4617	+	14.2641i	0.552729	+	0.478942i	0.885869	−	0.463935i	$-0.153563\pi$
$887$	16.4617	+	14.2641i	0.552729	+	0.478942i	−0.333140	+	0.942877i	$0.608108\pi$
$888$	14.3406	+	4.21077i	0.481238	+	0.141304i
$889$	−32.7051	+	4.85769i	−1.09689	+	0.162922i
$890$	11.3274	+	13.0725i	0.379694	+	0.438190i
$891$	−3.29490	+	1.50473i	−0.110383	+	0.0504104i
$892$	−0.132194	−	0.450212i	−0.00442619	−	0.0150742i
$893$	−39.9522	−	18.2455i	−1.33695	−	0.610564i
$894$	4.41575	−	30.7122i	0.147685	−	1.02717i
$895$	−5.54370	+	3.56272i	−0.185305	+	0.119089i
$896$	−0.141822	−	30.4819i	−0.00473793	−	1.01833i
$897$	−7.51319	−	17.3867i	−0.250858	−	0.580524i
$898$	−0.741181			−0.0247335
$899$	−3.27386	−	5.09423i	−0.109189	−	0.169902i
$900$	−0.00455578	+	0.0316862i	−0.000151859	+	0.00105621i
$901$	33.1920	+	15.1583i	1.10578	+	0.504995i
$902$	17.5488	−	5.15279i	0.584311	−	0.171569i
$903$	−27.9149	+	12.9056i	−0.928950	+	0.429472i
$904$	27.6924	−	23.9956i	0.921036	−	0.798082i
$905$	4.13807	+	28.7809i	0.137554	+	0.956709i
$906$	4.26399	−	14.5218i	0.141661	−	0.482455i
$907$	7.21824	+	6.25464i	0.239678	+	0.207682i	0.766414	−	0.642347i	$-0.222039\pi$
$907$	7.21824	+	6.25464i	0.239678	+	0.207682i	−0.526736	+	0.850029i	$0.676585\pi$
$908$	0.593778	+	0.381598i	0.0197052	+	0.0126638i
$909$	−7.13323	+	11.0995i	−0.236594	+	0.368148i
$910$	18.6788	−	21.7602i	0.619195	−	0.721343i
$911$	−0.650329	+	2.21482i	−0.0215463	+	0.0733801i	−0.969564	−	0.244836i	$-0.921266\pi$
$911$	−0.650329	+	2.21482i	−0.0215463	+	0.0733801i	0.948018	+	0.318217i	$0.103084\pi$
$912$	−20.3685	+	2.92855i	−0.674468	+	0.0969739i
$913$	3.98420	−	3.45233i	0.131858	−	0.114255i
$914$	−23.5436	+	10.7520i	−0.778754	+	0.355645i
$915$	4.50871	+	15.3552i	0.149053	+	0.507629i
$916$	−0.0866694	+	0.189780i	−0.00286364	+	0.00627049i
$917$	−4.32364	+	31.0980i	−0.142779	+	1.02695i
$918$	−4.61303	−	7.17801i	−0.152253	−	0.236910i
$919$			9.62868i			0.317621i	0.987309	+	0.158810i	$0.0507658\pi$
$919$			9.62868i			0.317621i	−0.987309	+	0.158810i	$0.949234\pi$
$920$	3.17102	+	25.8012i	0.104546	+	0.850639i
$921$	−19.9227			−0.656475
$922$	−11.5786	−	18.0166i	−0.381320	−	0.593345i
$923$	−11.7255	−	1.68587i	−0.385950	−	0.0554912i
$924$	−0.218421	−	0.0985241i	−0.00718553	−	0.00324120i
$925$	1.91826	+	6.53301i	0.0630721	+	0.214804i
$926$	12.6947	+	27.7976i	0.417175	+	0.913485i
$927$	7.25847	+	8.37672i	0.238400	+	0.275128i
$928$	0.0132635	+	0.0922493i	0.000435394	+	0.00302823i
$929$	2.35685	−	8.02669i	0.0773257	−	0.263347i	−0.911752	−	0.410741i	$-0.865270\pi$
$929$	2.35685	−	8.02669i	0.0773257	−	0.263347i	0.989078	+	0.147393i	$0.0470883\pi$
$930$	16.5156	−	19.0600i	0.541567	−	0.625002i
$931$	−30.1029	−	18.9525i	−0.986584	−	0.621144i
$932$	−0.0948970	−	0.0609866i	−0.00310846	−	0.00199768i
$933$	14.4563	−	16.6835i	0.473279	−	0.546193i
$934$	6.89677	+	2.02507i	0.225669	+	0.0662624i
$935$	41.4619	−	5.96132i	1.35595	−	0.194956i
$936$	−8.38853	+	7.26871i	−0.274188	+	0.237585i
$937$	−12.6253	−	27.6456i	−0.412452	−	0.903143i	−0.995855	−	0.0909601i	$-0.971006\pi$
$937$	−12.6253	−	27.6456i	−0.412452	−	0.903143i	0.583403	−	0.812183i	$-0.301721\pi$
$938$	16.8109	−	5.02120i	0.548895	−	0.163948i
$939$	11.1173	+	5.07709i	0.362799	+	0.165685i
$940$	−0.412530	−	0.0593129i	−0.0134552	−	0.00193457i
$941$	33.8473	−	21.7523i	1.10339	−	0.709105i	0.143547	−	0.989644i	$-0.454149\pi$
$941$	33.8473	−	21.7523i	1.10339	−	0.709105i	0.959843	+	0.280538i	$0.0905130\pi$
$942$			32.3233i			1.05315i
$943$	0.349001	−	17.0133i	0.0113650	−	0.554029i
$944$		−	14.7804i		−	0.481061i
$945$	−4.27979	+	2.77867i	−0.139221	+	0.0903902i
$946$	8.52687	−	59.3057i	0.277233	−	1.92819i
$947$	−4.85466	+	10.6302i	−0.157755	+	0.345436i	−0.971962	−	0.235140i	$-0.924445\pi$
$947$	−4.85466	+	10.6302i	−0.157755	+	0.345436i	0.814206	+	0.580576i	$0.197172\pi$
$948$	−0.277268	+	0.0814131i	−0.00900523	+	0.00264418i
$949$	3.25439	+	7.12611i	0.105642	+	0.231323i
$950$	−6.06320	−	6.99730i	−0.196716	−	0.227022i
$951$	−11.9900	+	1.72390i	−0.388803	+	0.0559014i
$952$	−12.3620	+	42.8374i	−0.400654	+	1.38837i
$953$	−10.4391	−	9.04556i	−0.338157	−	0.293014i	0.469184	−	0.883101i	$-0.344548\pi$
$953$	−10.4391	−	9.04556i	−0.338157	−	0.293014i	−0.807340	+	0.590086i	$0.799094\pi$
$954$	4.68193	−	7.28522i	0.151583	−	0.235868i
$955$	9.39562	−	14.6199i	0.304035	−	0.473088i
$956$	−0.0410393	+	0.0473619i	−0.00132731	+	0.00153179i
$957$	−2.29028	−	0.672487i	−0.0740343	−	0.0217384i
$958$	0.860686	+	5.98620i	0.0278075	+	0.193405i
$959$	−9.12544	−	10.4328i	−0.294676	−	0.336894i
$960$	13.8550	−	6.32737i	0.447169	−	0.204215i
$961$	51.2778	−	15.0565i	1.65412	−	0.485694i
$962$	12.4156	−	27.1864i	0.400296	−	0.876526i
$963$	11.9030	+	1.71140i	0.383570	+	0.0551491i
$964$	0.134816	−	0.0866412i	0.00434214	−	0.00279052i
$965$	−23.7065			−0.763139
$966$	−12.0392	+	13.4567i	−0.387354	+	0.432963i
$967$	54.0463			1.73801			0.869005	−	0.494802i	$-0.164760\pi$
$967$	54.0463			1.73801			0.869005	+	0.494802i	$0.164760\pi$
$968$	−5.01376	+	3.22215i	−0.161148	+	0.103564i
$969$	30.1602	+	4.33638i	0.968886	+	0.139305i
$970$	11.3040	−	24.7524i	0.362951	−	0.794751i
$971$	−7.33281	+	2.15311i	−0.235321	+	0.0690965i	−0.397267	−	0.917703i	$-0.630041\pi$
$971$	−7.33281	+	2.15311i	−0.235321	+	0.0690965i	0.161946	+	0.986800i	$0.448223\pi$
$972$	−0.0227432	+	0.0103865i	−0.000729489	+	0.000333147i
$973$	−19.4914	−	22.2840i	−0.624867	−	0.714391i
$974$	−3.54882	−	24.6826i	−0.113712	−	0.790881i
$975$	−4.85174	−	1.42460i	−0.155380	−	0.0456237i
$976$	22.0040	−	25.3939i	0.704330	−	0.812840i
$977$	4.59954	−	7.15702i	0.147152	−	0.228973i	−0.759851	−	0.650098i	$-0.774728\pi$
$977$	4.59954	−	7.15702i	0.147152	−	0.228973i	0.907003	+	0.421124i	$0.138364\pi$
$978$	−12.2990	+	19.1376i	−0.393279	+	0.611954i
$979$	17.2532	+	14.9500i	0.551415	+	0.477804i
$980$	−0.324746	−	0.0920805i	−0.0103736	−	0.00294140i
$981$	−7.23939	+	1.04087i	−0.231136	+	0.0332323i
$982$	12.1561	+	14.0289i	0.387917	+	0.447680i
$983$	8.94281	+	19.5820i	0.285231	+	0.624570i	0.996963	−	0.0778824i	$-0.0248159\pi$
$983$	8.94281	+	19.5820i	0.285231	+	0.624570i	−0.711731	+	0.702452i	$0.752089\pi$
$984$	−9.56835	+	2.80952i	−0.305028	+	0.0895643i
$985$	12.1157	−	26.5296i	0.386037	−	0.845304i
$986$	0.800198	−	5.56550i	0.0254835	−	0.177242i
$987$	12.4522	+	19.1793i	0.396359	+	0.610483i
$988$			0.501797i			0.0159643i
$989$	−50.2228	−	24.1929i	−1.59699	−	0.769288i
$990$		−	9.94125i		−	0.315954i
$991$	−41.0475	+	26.3796i	−1.30392	+	0.837976i	−0.993633	−	0.112667i	$-0.964061\pi$
$991$	−41.0475	+	26.3796i	−1.30392	+	0.837976i	−0.310284	+	0.950644i	$0.600424\pi$
$992$	−1.28639	−	0.184955i	−0.0408430	−	0.00587234i
$993$	−20.2340	−	9.24055i	−0.642106	−	0.293240i
$994$	3.23198	+	10.8206i	0.102512	+	0.343209i
$995$	−2.13611	−	4.67742i	−0.0677192	−	0.148284i
$996$	0.0275011	−	0.0238299i	0.000871406	−	0.000755078i
$997$	−55.4479	+	7.97220i	−1.75605	+	0.252482i	−0.943727	−	0.330724i	$-0.892707\pi$
$997$	−55.4479	+	7.97220i	−1.75605	+	0.252482i	−0.812324	+	0.583206i	$0.801798\pi$
$998$	32.9215	+	9.66663i	1.04211	+	0.305992i
$999$	−3.48252	+	4.01904i	−0.110182	+	0.127157i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	483.2.r.a.34.9	✓	320
7.6	odd	2	inner	483.2.r.a.34.10	yes	320
23.21	odd	22	inner	483.2.r.a.412.10	yes	320
161.90	even	22	inner	483.2.r.a.412.9	yes	320

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
483.2.r.a.34.9	✓	320	1.1	even	1	trivial
483.2.r.a.34.10	yes	320	7.6	odd	2	inner
483.2.r.a.412.9	yes	320	161.90	even	22	inner
483.2.r.a.412.10	yes	320	23.21	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:	\( N \)	\(=\)	\( 483 = 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	483.r (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.19713 + 0.769346i) q^{2} +(-0.989821 - 0.142315i) q^{3} +(0.0103865 - 0.0227432i) q^{4} +(1.85052 - 0.543361i) q^{5} +(1.29443 - 0.591146i) q^{6} +(1.99144 - 1.74188i) q^{7} +(-0.399972 - 2.78187i) q^{8} +(0.959493 + 0.281733i) q^{9} +O(q^{10})\)	\(q+(-1.19713 + 0.769346i) q^{2} +(-0.989821 - 0.142315i) q^{3} +(0.0103865 - 0.0227432i) q^{4} +(1.85052 - 0.543361i) q^{5} +(1.29443 - 0.591146i) q^{6} +(1.99144 - 1.74188i) q^{7} +(-0.399972 - 2.78187i) q^{8} +(0.959493 + 0.281733i) q^{9} +(-1.79727 + 2.07416i) q^{10} +(-1.95833 + 3.04722i) q^{11} +(-0.0135175 + 0.0210336i) q^{12} +(-2.98474 - 2.58629i) q^{13} +(-1.04390 + 3.61736i) q^{14} +(-1.90901 + 0.274474i) q^{15} +(2.65178 + 3.06032i) q^{16} +(-2.49084 - 5.45419i) q^{17} +(-1.36538 + 0.400913i) q^{18} +(2.11104 - 4.62252i) q^{19} +(0.00686259 - 0.0477303i) q^{20} +(-2.21907 + 1.44074i) q^{21} -5.15454i q^{22} +(-4.57289 - 1.44523i) q^{23} +2.81047i q^{24} +(-1.07709 + 0.692206i) q^{25} +(5.56286 + 0.799819i) q^{26} +(-0.909632 - 0.415415i) q^{27} +(-0.0189319 - 0.0633839i) q^{28} +(-0.273749 - 0.599427i) q^{29} +(2.07416 - 1.79727i) q^{30} +(9.09573 - 1.30777i) q^{31} +(-0.135699 - 0.0398449i) q^{32} +(2.37206 - 2.73750i) q^{33} +(7.17801 + 4.61303i) q^{34} +(2.73873 - 4.30546i) q^{35} +(0.0163733 - 0.0188958i) q^{36} +(1.49824 - 5.10254i) q^{37} +(1.02914 + 7.15786i) q^{38} +(2.58629 + 2.98474i) q^{39} +(-2.25171 - 4.93056i) q^{40} +(0.999662 + 3.40453i) q^{41} +(1.54808 - 3.43198i) q^{42} +(11.5055 + 1.65425i) q^{43} +(0.0489634 + 0.0761886i) q^{44} +1.92864 q^{45} +(6.58620 - 1.78801i) q^{46} -8.64293i q^{47} +(-2.18926 - 3.40656i) q^{48} +(0.931688 - 6.93772i) q^{49} +(0.756870 - 1.65732i) q^{50} +(1.68928 + 5.75315i) q^{51} +(-0.0898216 + 0.0410202i) q^{52} +(-4.59919 + 3.98522i) q^{53} +(1.40854 - 0.202518i) q^{54} +(-1.96818 + 6.70301i) q^{55} +(-5.64221 - 4.84322i) q^{56} +(-2.74740 + 4.27504i) q^{57} +(0.788879 + 0.506981i) q^{58} +(-2.75852 - 2.39027i) q^{59} +(-0.0135855 + 0.0462679i) q^{60} +(-1.18090 - 8.21335i) q^{61} +(-9.88261 + 8.56333i) q^{62} +(2.40152 - 1.11027i) q^{63} +(-7.57760 + 2.22498i) q^{64} +(-6.92861 - 3.16419i) q^{65} +(-0.733567 + 5.10207i) q^{66} +(-2.51938 - 3.92024i) q^{67} -0.149917 q^{68} +(4.32066 + 2.08131i) q^{69} +(0.0337839 + 7.26120i) q^{70} +(2.52332 - 1.62164i) q^{71} +(0.399972 - 2.78187i) q^{72} +(-1.80436 - 0.824025i) q^{73} +(2.13204 + 7.26105i) q^{74} +(1.16464 - 0.531874i) q^{75} +(-0.0832048 - 0.0960235i) q^{76} +(1.40800 + 9.47954i) q^{77} +(-5.39242 - 1.58336i) q^{78} +(8.73472 + 7.56868i) q^{79} +(6.57002 + 4.22230i) q^{80} +(0.841254 + 0.540641i) q^{81} +(-3.81599 - 3.30657i) q^{82} +(-1.39646 - 0.410037i) q^{83} +(0.00971878 + 0.0654330i) q^{84} +(-7.57294 - 8.73964i) q^{85} +(-15.0463 + 6.87140i) q^{86} +(0.185655 + 0.632284i) q^{87} +(9.26023 + 4.22901i) q^{88} +(0.896944 - 6.23838i) q^{89} +(-2.30883 + 1.48379i) q^{90} +(-10.4490 + 0.0486154i) q^{91} +(-0.0803654 + 0.0889913i) q^{92} -9.18927 q^{93} +(6.64940 + 10.3467i) q^{94} +(1.39481 - 9.70111i) q^{95} +(0.128648 + 0.0587514i) q^{96} +(-9.51325 + 2.79334i) q^{97} +(4.22216 + 9.02211i) q^{98} +(-2.73750 + 2.37206i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9}+O(q^{10}) \) 320 * q + 4 * q^2 - 36 * q^4 + 12 * q^8 + 32 * q^9	\( 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9} - 4 q^{18} + 52 q^{23} - 68 q^{25} - 88 q^{28} + 24 q^{32} + 28 q^{35} + 14 q^{36} - 44 q^{37} + 110 q^{42} - 44 q^{43} - 154 q^{44} + 40 q^{46} - 16 q^{49} - 166 q^{50} - 44 q^{51} + 110 q^{56} - 44 q^{57} - 62 q^{58} - 84 q^{64} + 72 q^{70} - 40 q^{71} - 12 q^{72} + 22 q^{74} + 72 q^{77} - 8 q^{78} - 88 q^{79} - 32 q^{81} - 304 q^{85} + 330 q^{88} - 412 q^{92} + 24 q^{93} + 148 q^{95} - 60 q^{98} + 44 q^{99}+O(q^{100}) \) 320 * q + 4 * q^2 - 36 * q^4 + 12 * q^8 + 32 * q^9 - 4 * q^18 + 52 * q^23 - 68 * q^25 - 88 * q^28 + 24 * q^32 + 28 * q^35 + 14 * q^36 - 44 * q^37 + 110 * q^42 - 44 * q^43 - 154 * q^44 + 40 * q^46 - 16 * q^49 - 166 * q^50 - 44 * q^51 + 110 * q^56 - 44 * q^57 - 62 * q^58 - 84 * q^64 + 72 * q^70 - 40 * q^71 - 12 * q^72 + 22 * q^74 + 72 * q^77 - 8 * q^78 - 88 * q^79 - 32 * q^81 - 304 * q^85 + 330 * q^88 - 412 * q^92 + 24 * q^93 + 148 * q^95 - 60 * q^98 + 44 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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