LMFDB - Embedded newform 483.2.r.a.34.16

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			34.16
Character	$\chi$	$=$	483.34
Dual form			483.2.r.a.412.16

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.129024 + 0.0829186i) q^{2} +(0.989821 + 0.142315i) q^{3} +(-0.821058 + 1.79787i) q^{4} +(3.74200 - 1.09875i) q^{5} +(-0.139511 + 0.0637126i) q^{6} +(2.59159 + 0.532585i) q^{7} +(-0.0867944 - 0.603668i) q^{8} +(0.959493 + 0.281733i) q^{9} +O(q^{10})$	\(q+(-0.129024 + 0.0829186i) q^{2} +(0.989821 + 0.142315i) q^{3} +(-0.821058 + 1.79787i) q^{4} +(3.74200 - 1.09875i) q^{5} +(-0.139511 + 0.0637126i) q^{6} +(2.59159 + 0.532585i) q^{7} +(-0.0867944 - 0.603668i) q^{8} +(0.959493 + 0.281733i) q^{9} +(-0.391701 + 0.452047i) q^{10} +(0.170830 - 0.265816i) q^{11} +(-1.06856 + 1.66272i) q^{12} +(-1.14921 - 0.995794i) q^{13} +(-0.378538 + 0.146175i) q^{14} +(3.86028 - 0.555025i) q^{15} +(-2.52738 - 2.91675i) q^{16} +(-2.42691 - 5.31419i) q^{17} +(-0.147158 + 0.0432096i) q^{18} +(-3.19164 + 6.98871i) q^{19} +(-1.09699 + 7.62976i) q^{20} +(2.48942 + 0.895986i) q^{21} +0.0484616i q^{22} +(-1.47490 - 4.56341i) q^{23} -0.609876i q^{24} +(8.58907 - 5.51986i) q^{25} +(0.230845 + 0.0331905i) q^{26} +(0.909632 + 0.415415i) q^{27} +(-3.08537 + 4.22206i) q^{28} +(2.19928 + 4.81575i) q^{29} +(-0.452047 + 0.391701i) q^{30} +(-4.53470 + 0.651992i) q^{31} +(1.73829 + 0.510408i) q^{32} +(0.206920 - 0.238799i) q^{33} +(0.753775 + 0.484422i) q^{34} +(10.2829 - 0.854581i) q^{35} +(-1.29432 + 1.49372i) q^{36} +(0.789895 - 2.69013i) q^{37} +(-0.167697 - 1.16636i) q^{38} +(-0.995794 - 1.14921i) q^{39} +(-0.988067 - 2.16356i) q^{40} +(2.21110 + 7.53031i) q^{41} +(-0.395488 + 0.0908156i) q^{42} +(-7.04710 - 1.01322i) q^{43} +(0.337641 + 0.525380i) q^{44} +3.89998 q^{45} +(0.568688 + 0.466492i) q^{46} +8.31829i q^{47} +(-2.08656 - 3.24675i) q^{48} +(6.43271 + 2.76049i) q^{49} +(-0.650496 + 1.42439i) q^{50} +(-1.64592 - 5.60549i) q^{51} +(2.73387 - 1.24852i) q^{52} +(-0.237530 + 0.205821i) q^{53} +(-0.151810 + 0.0218270i) q^{54} +(0.347179 - 1.18238i) q^{55} +(0.0965690 - 1.61069i) q^{56} +(-4.15375 + 6.46336i) q^{57} +(-0.683075 - 0.438986i) q^{58} +(-0.835725 - 0.724160i) q^{59} +(-2.17166 + 7.39599i) q^{60} +(-0.591132 - 4.11141i) q^{61} +(0.531023 - 0.460134i) q^{62} +(2.33657 + 1.24115i) q^{63} +(7.13956 - 2.09637i) q^{64} +(-5.39447 - 2.46357i) q^{65} +(-0.00689680 + 0.0479683i) q^{66} +(-7.91252 - 12.3121i) q^{67} +11.5468 q^{68} +(-0.810443 - 4.72686i) q^{69} +(-1.25588 + 0.962907i) q^{70} +(-1.38621 + 0.890866i) q^{71} +(0.0867944 - 0.603668i) q^{72} +(-8.12885 - 3.71232i) q^{73} +(0.121147 + 0.412588i) q^{74} +(9.28720 - 4.24132i) q^{75} +(-9.94426 - 11.4763i) q^{76} +(0.584291 - 0.597906i) q^{77} +(0.223772 + 0.0657054i) q^{78} +(3.66239 + 3.17348i) q^{79} +(-12.6623 - 8.13754i) q^{80} +(0.841254 + 0.540641i) q^{81} +(-0.909687 - 0.788248i) q^{82} +(5.94289 + 1.74499i) q^{83} +(-3.65482 + 3.73999i) q^{84} +(-14.9205 - 17.2192i) q^{85} +(0.993258 - 0.453606i) q^{86} +(1.49154 + 5.07972i) q^{87} +(-0.175292 - 0.0800531i) q^{88} +(-1.08210 + 7.52618i) q^{89} +(-0.503190 + 0.323381i) q^{90} +(-2.44793 - 3.19274i) q^{91} +(9.41537 + 1.09516i) q^{92} -4.58134 q^{93} +(-0.689741 - 1.07326i) q^{94} +(-4.26427 + 29.6586i) q^{95} +(1.64796 + 0.752597i) q^{96} +(-18.1980 + 5.34340i) q^{97} +(-1.05887 + 0.177222i) q^{98} +(0.238799 - 0.206920i) 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 $

$2$	−0.129024	+	0.0829186i	−0.0912336	+	0.0586323i	−0.585462	−	0.810700i	$-0.699087\pi$
$2$	−0.129024	+	0.0829186i	−0.0912336	+	0.0586323i	0.494229	+	0.869332i	$0.335451\pi$
$3$	0.989821	+	0.142315i	0.571474	+	0.0821655i
$3$	0.989821	+	0.142315i	0.571474	+	0.0821655i
$4$	−0.821058	+	1.79787i	−0.410529	+	0.898934i
$5$	3.74200	−	1.09875i	1.67347	−	0.491377i	0.698859	−	0.715260i	$-0.253692\pi$
$5$	3.74200	−	1.09875i	1.67347	−	0.491377i	0.974616	+	0.223883i	$0.0718733\pi$
$6$	−0.139511	+	0.0637126i	−0.0569552	+	0.0260106i
$7$	2.59159	+	0.532585i	0.979530	+	0.201298i
$7$	2.59159	+	0.532585i	0.979530	+	0.201298i
$8$	−0.0867944	−	0.603668i	−0.0306865	−	0.213429i
$9$	0.959493	+	0.281733i	0.319831	+	0.0939109i
$10$	−0.391701	+	0.452047i	−0.123867	+	0.142950i
$11$	0.170830	−	0.265816i	0.0515071	−	0.0801466i	−0.814545	−	0.580100i	$-0.803013\pi$
$11$	0.170830	−	0.265816i	0.0515071	−	0.0801466i	0.866052	+	0.499954i	$0.166650\pi$
$12$	−1.06856	+	1.66272i	−0.308468	+	0.479986i
$13$	−1.14921	−	0.995794i	−0.318733	−	0.276184i	0.480769	−	0.876847i	$-0.340358\pi$
$13$	−1.14921	−	0.995794i	−0.318733	−	0.276184i	−0.799502	+	0.600664i	$0.794903\pi$
$14$	−0.378538	+	0.146175i	−0.101169	+	0.0390669i
$15$	3.86028	−	0.555025i	0.996721	−	0.143307i
$16$	−2.52738	−	2.91675i	−0.631845	−	0.729188i
$17$	−2.42691	−	5.31419i	−0.588612	−	1.28888i	−0.936277	−	0.351262i	$-0.885753\pi$
$17$	−2.42691	−	5.31419i	−0.588612	−	1.28888i	0.347665	−	0.937619i	$-0.386975\pi$
$18$	−0.147158	+	0.0432096i	−0.0346856	+	0.0101846i
$19$	−3.19164	+	6.98871i	−0.732212	+	1.60332i	0.0637435	+	0.997966i	$0.479696\pi$
$19$	−3.19164	+	6.98871i	−0.732212	+	1.60332i	−0.795956	+	0.605355i	$0.793031\pi$
$20$	−1.09699	+	7.62976i	−0.245295	+	1.70607i
$21$	2.48942	+	0.895986i	0.543236	+	0.195520i
$22$			0.0484616i			0.0103320i
$23$	−1.47490	−	4.56341i	−0.307537	−	0.951536i
$23$	−1.47490	−	4.56341i	−0.307537	−	0.951536i
$24$		−	0.609876i		−	0.124490i
$25$	8.58907	−	5.51986i	1.71781	−	1.10397i
$26$	0.230845	+	0.0331905i	0.0452725	+	0.00650920i
$27$	0.909632	+	0.415415i	0.175059	+	0.0799467i
$28$	−3.08537	+	4.22206i	−0.583079	+	0.797894i
$29$	2.19928	+	4.81575i	0.408396	+	0.894263i	0.996349	+	0.0853679i	$0.0272066\pi$
$29$	2.19928	+	4.81575i	0.408396	+	0.894263i	−0.587953	+	0.808895i	$0.700066\pi$
$30$	−0.452047	+	0.391701i	−0.0825321	+	0.0715145i
$31$	−4.53470	+	0.651992i	−0.814457	+	0.117101i	−0.536941	−	0.843620i	$-0.680420\pi$
$31$	−4.53470	+	0.651992i	−0.814457	+	0.117101i	−0.277516	+	0.960721i	$0.589511\pi$
$32$	1.73829	+	0.510408i	0.307289	+	0.0902282i
$33$	0.206920	−	0.238799i	0.0360202	−	0.0415696i
$34$	0.753775	+	0.484422i	0.129271	+	0.0830776i
$35$	10.2829	−	0.854581i	1.73813	−	0.144451i
$36$	−1.29432	+	1.49372i	−0.215720	+	0.248954i
$37$	0.789895	−	2.69013i	0.129858	−	0.442255i	−0.868736	−	0.495276i	$-0.835067\pi$
$37$	0.789895	−	2.69013i	0.129858	−	0.442255i	0.998593	+	0.0530210i	$0.0168850\pi$
$38$	−0.167697	−	1.16636i	−0.0272040	−	0.189208i
$39$	−0.995794	−	1.14921i	−0.159455	−	0.184021i
$40$	−0.988067	−	2.16356i	−0.156227	−	0.342090i
$41$	2.21110	+	7.53031i	0.345315	+	1.17604i	0.930854	+	0.365392i	$0.119065\pi$
$41$	2.21110	+	7.53031i	0.345315	+	1.17604i	−0.585538	+	0.810645i	$0.699117\pi$
$42$	−0.395488	+	0.0908156i	−0.0610252	+	0.0140131i
$43$	−7.04710	−	1.01322i	−1.07467	−	0.154515i	−0.417817	−	0.908531i	$-0.637205\pi$
$43$	−7.04710	−	1.01322i	−1.07467	−	0.154515i	−0.656855	+	0.754017i	$0.728114\pi$
$44$	0.337641	+	0.525380i	0.0509013	+	0.0792040i
$45$	3.89998			0.581375
$46$	0.568688	+	0.466492i	0.0838485	+	0.0687805i
$47$			8.31829i			1.21335i	0.794951	+	0.606674i	$0.207497\pi$
$47$			8.31829i			1.21335i	−0.794951	+	0.606674i	$0.792503\pi$
$48$	−2.08656	−	3.24675i	−0.301169	−	0.468628i
$49$	6.43271	+	2.76049i	0.918958	+	0.394355i
$50$	−0.650496	+	1.42439i	−0.0919940	+	0.201439i
$51$	−1.64592	−	5.60549i	−0.230475	−	0.784925i
$52$	2.73387	−	1.24852i	0.379120	−	0.173138i
$53$	−0.237530	+	0.205821i	−0.0326273	+	0.0282717i	−0.671022	−	0.741438i	$-0.734144\pi$
$53$	−0.237530	+	0.205821i	−0.0326273	+	0.0282717i	0.638395	+	0.769709i	$0.279599\pi$
$54$	−0.151810	+	0.0218270i	−0.0206587	+	0.00297027i
$55$	0.347179	−	1.18238i	0.0468137	−	0.159433i
$56$	0.0965690	−	1.61069i	0.0129046	−	0.215237i
$57$	−4.15375	+	6.46336i	−0.550178	+	0.856093i
$58$	−0.683075	−	0.438986i	−0.0896921	−	0.0576416i
$59$	−0.835725	−	0.724160i	−0.108802	−	0.0942776i	0.598761	−	0.800928i	$-0.295660\pi$
$59$	−0.835725	−	0.724160i	−0.108802	−	0.0942776i	−0.707563	+	0.706650i	$0.750205\pi$
$60$	−2.17166	+	7.39599i	−0.280360	+	0.954818i
$61$	−0.591132	−	4.11141i	−0.0756867	−	0.526413i	−0.992028	−	0.126015i	$-0.959781\pi$
$61$	−0.591132	−	4.11141i	−0.0756867	−	0.526413i	0.916342	−	0.400397i	$-0.131128\pi$
$62$	0.531023	−	0.460134i	0.0674400	−	0.0584371i
$63$	2.33657	+	1.24115i	0.294380	+	0.156370i
$64$	7.13956	−	2.09637i	0.892446	−	0.262046i
$65$	−5.39447	−	2.46357i	−0.669102	−	0.305569i
$66$	−0.00689680	+	0.0479683i	−0.000848938	+	0.00590449i
$67$	−7.91252	−	12.3121i	−0.966668	−	1.50417i	−0.860268	−	0.509842i	$-0.829704\pi$
$67$	−7.91252	−	12.3121i	−0.966668	−	1.50417i	−0.106400	−	0.994323i	$-0.533932\pi$
$68$	11.5468			1.40026
$69$	−0.810443	−	4.72686i	−0.0975659	−	0.569047i
$70$	−1.25588	+	0.962907i	−0.150107	+	0.115089i
$71$	−1.38621	+	0.890866i	−0.164513	+	0.105726i	−0.620307	−	0.784359i	$-0.712992\pi$
$71$	−1.38621	+	0.890866i	−0.164513	+	0.105726i	0.455793	+	0.890086i	$0.349356\pi$
$72$	0.0867944	−	0.603668i	0.0102288	−	0.0711430i
$73$	−8.12885	−	3.71232i	−0.951410	−	0.434495i	−0.121624	−	0.992576i	$-0.538810\pi$
$73$	−8.12885	−	3.71232i	−0.951410	−	0.434495i	−0.829786	+	0.558082i	$0.811538\pi$
$74$	0.121147	+	0.412588i	0.0140830	+	0.0479624i
$75$	9.28720	−	4.24132i	1.07239	−	0.489746i
$76$	−9.94426	−	11.4763i	−1.14068	−	1.31642i
$77$	0.584291	−	0.597906i	0.0665861	−	0.0681377i
$78$	0.223772	+	0.0657054i	0.0253372	+	0.00743967i
$79$	3.66239	+	3.17348i	0.412051	+	0.357044i	0.836083	−	0.548603i	$-0.184840\pi$
$79$	3.66239	+	3.17348i	0.412051	+	0.357044i	−0.424032	+	0.905647i	$0.639386\pi$
$80$	−12.6623	−	8.13754i	−1.41568	−	0.909804i
$81$	0.841254	+	0.540641i	0.0934726	+	0.0600712i
$82$	−0.909687	−	0.788248i	−0.100458	−	0.0870474i
$83$	5.94289	+	1.74499i	0.652317	+	0.191538i	0.591114	−	0.806588i	$-0.298688\pi$
$83$	5.94289	+	1.74499i	0.652317	+	0.191538i	0.0612029	+	0.998125i	$0.480506\pi$
$84$	−3.65482	+	3.73999i	−0.398774	+	0.408066i
$85$	−14.9205	−	17.2192i	−1.61835	−	1.86768i
$86$	0.993258	−	0.453606i	0.107106	−	0.0489136i
$87$	1.49154	+	5.07972i	0.159910	+	0.544604i
$88$	−0.175292	−	0.0800531i	−0.0186862	−	0.00853369i
$89$	−1.08210	+	7.52618i	−0.114702	+	0.797773i	0.848538	+	0.529134i	$0.177483\pi$
$89$	−1.08210	+	7.52618i	−0.114702	+	0.797773i	−0.963241	+	0.268639i	$0.913426\pi$
$90$	−0.503190	+	0.323381i	−0.0530409	+	0.0340873i
$91$	−2.44793	−	3.19274i	−0.256613	−	0.334691i
$92$	9.41537	+	1.09516i	0.981621	+	0.114178i
$93$	−4.58134			−0.475062
$94$	−0.689741	−	1.07326i	−0.0711414	−	0.110698i
$95$	−4.26427	+	29.6586i	−0.437504	+	3.04291i
$96$	1.64796	+	0.752597i	0.168194	+	0.0768116i
$97$	−18.1980	+	5.34340i	−1.84772	+	0.542540i	−0.847797	+	0.530321i	$0.822071\pi$
$97$	−18.1980	+	5.34340i	−1.84772	+	0.542540i	−0.999925	+	0.0122191i	$0.996110\pi$
$98$	−1.05887	+	0.177222i	−0.106962	+	0.0179022i
$99$	0.238799	−	0.206920i	0.0240002	−	0.0207963i
$100$	2.87185	+	19.9741i	0.287185	+	1.99741i
$101$	3.31144	−	11.2777i	0.329500	−	1.12217i	−0.613587	−	0.789627i	$-0.710274\pi$
$101$	3.31144	−	11.2777i	0.329500	−	1.12217i	0.943087	−	0.332547i	$-0.107908\pi$
$102$	0.677162	+	0.586764i	0.0670490	+	0.0580983i
$103$	5.19284	+	3.33724i	0.511666	+	0.328828i	0.770868	−	0.636995i	$-0.219823\pi$
$103$	5.19284	+	3.33724i	0.511666	+	0.328828i	−0.259201	+	0.965823i	$0.583459\pi$
$104$	−0.501385	+	0.780170i	−0.0491648	+	0.0765020i
$105$	10.2999	+	0.617531i	1.00517	+	0.0602648i
$106$	0.0135807	−	0.0462515i	0.00131907	−	0.00449234i
$107$	1.77582	−	0.255324i	0.171675	−	0.0246831i	−0.0559414	−	0.998434i	$-0.517816\pi$
$107$	1.77582	−	0.255324i	0.171675	−	0.0246831i	0.227616	+	0.973751i	$0.426907\pi$
$108$	−1.49372	+	1.29432i	−0.143733	+	0.124546i
$109$	8.57293	−	3.91513i	0.821138	−	0.375001i	0.0398763	−	0.999205i	$-0.487304\pi$
$109$	8.57293	−	3.91513i	0.821138	−	0.375001i	0.781262	+	0.624203i	$0.214576\pi$
$110$	0.0532472	+	0.181343i	0.00507693	+	0.0172904i
$111$	1.16470	−	2.55034i	0.110548	−	0.242067i
$112$	−4.99652	−	8.90508i	−0.472127	−	0.841451i
$113$	−9.35373	−	14.5547i	−0.879925	−	1.36919i	−0.928877	−	0.370388i	$-0.879225\pi$
$113$	−9.35373	−	14.5547i	−0.879925	−	1.36919i	0.0489522	−	0.998801i	$-0.484412\pi$
$114$		−	1.17835i		−	0.110363i
$115$	−10.5331	−	15.4557i	−0.982218	−	1.44126i
$116$	−10.4638			−0.971541
$117$	−0.822109	−	1.27923i	−0.0760040	−	0.118265i
$118$	0.167875	+	0.0241367i	0.0154541	+	0.00222197i
$119$	−3.45930	−	15.0648i	−0.317114	−	1.38098i
$120$	−0.670102	−	2.28216i	−0.0611717	−	0.208332i
$121$	4.52809	+	9.91513i	0.411645	+	0.901376i
$122$	0.417183	+	0.481455i	0.0377699	+	0.0435888i
$123$	1.11692	+	7.76833i	0.100709	+	0.700447i
$124$	2.55106	−	8.68812i	0.229092	−	0.780216i
$125$	13.3057	−	15.3555i	1.19009	−	1.37344i
$126$	−0.404387	+	0.0336073i	−0.0360257	+	0.00299398i
$127$	2.74020	+	1.76102i	0.243154	+	0.156265i	0.656542	−	0.754289i	$-0.272018\pi$
$127$	2.74020	+	1.76102i	0.243154	+	0.156265i	−0.413388	+	0.910555i	$0.635655\pi$
$128$	−3.12014	+	3.60083i	−0.275784	+	0.318271i
$129$	−6.83117	−	2.00581i	−0.601451	−	0.176602i
$130$	0.900291	−	0.129442i	0.0789608	−	0.0113528i
$131$	−6.23455	+	5.40227i	−0.544715	+	0.471999i	−0.883215	−	0.468968i	$-0.844626\pi$
$131$	−6.23455	+	5.40227i	−0.544715	+	0.471999i	0.338500	+	0.940966i	$0.390081\pi$
$132$	0.259435	+	0.568083i	0.0225809	+	0.0494453i
$133$	−11.9935	+	16.4121i	−1.03997	+	1.42311i
$134$	2.04181	+	0.932462i	0.176385	+	0.0805525i
$135$	3.86028	+	0.555025i	0.332240	+	0.0477690i
$136$	−2.99737	+	1.92629i	−0.257022	+	0.165178i
$137$		−	21.9063i		−	1.87158i	−0.352558	−	0.935790i	$-0.614688\pi$
$137$		−	21.9063i		−	1.87158i	0.352558	−	0.935790i	$-0.385312\pi$
$138$	0.496511	+	0.542677i	0.0422658	+	0.0461957i
$139$			3.29935i			0.279848i	0.990162	+	0.139924i	$0.0446857\pi$
$139$			3.29935i			0.279848i	−0.990162	+	0.139924i	$0.955314\pi$
$140$	−6.90646	+	19.1890i	−0.583703	+	1.62177i
$141$	−1.18382	+	8.23362i	−0.0996953	+	0.693396i
$142$	0.104985	−	0.229886i	0.00881018	−	0.0192916i
$143$	−0.461017	+	0.135367i	−0.0385522	+	0.0113199i
$144$	−1.60326	−	3.51065i	−0.133605	−	0.292554i
$145$	13.5210	+	15.6041i	1.12286	+	1.29585i
$146$	1.35664	−	0.195055i	0.112276	−	0.0161429i
$147$	5.97437	+	3.64786i	0.492758	+	0.300870i
$148$	4.18795	+	3.62888i	0.344248	+	0.298292i
$149$	−4.45738	+	6.93582i	−0.365163	+	0.568204i	−0.974411	−	0.224776i	$-0.927835\pi$
$149$	−4.45738	+	6.93582i	−0.365163	+	0.568204i	0.609248	+	0.792980i	$0.291471\pi$
$150$	−0.846586	+	1.31731i	−0.0691235	+	0.107558i
$151$	−6.04273	+	6.97369i	−0.491751	+	0.567511i	−0.946333	−	0.323194i	$-0.895243\pi$
$151$	−6.04273	+	6.97369i	−0.491751	+	0.567511i	0.454582	+	0.890705i	$0.349789\pi$
$152$	4.49588	+	1.32011i	0.364664	+	0.107075i
$153$	−0.831423	−	5.78267i	−0.0672165	−	0.467501i
$154$	−0.0258099	+	0.125593i	−0.00207982	+	0.0101205i
$155$	−16.2525	+	7.42227i	−1.30543	+	0.596171i
$156$	2.88373	−	0.846739i	0.230883	−	0.0677934i
$157$	−2.32741	+	5.09631i	−0.185747	+	0.406730i	−0.979481	−	0.201535i	$-0.935407\pi$
$157$	−2.32741	+	5.09631i	−0.185747	+	0.406730i	0.793734	+	0.608265i	$0.208134\pi$
$158$	−0.735675	−	0.105774i	−0.0585272	−	0.00841494i
$159$	−0.264404	+	0.169922i	−0.0209686	+	0.0134757i
$160$	7.06550			0.558576
$161$	−1.39193	−	12.6120i	−0.109699	−	0.993965i
$162$	−0.153371			−0.0120500
$163$	0.102066	−	0.0655936i	0.00799439	−	0.00513768i	−0.536638	−	0.843813i	$-0.680306\pi$
$163$	0.102066	−	0.0655936i	0.00799439	−	0.00513768i	0.544632	+	0.838675i	$0.316669\pi$
$164$	−15.3539	−	2.20756i	−1.19894	−	0.172382i
$165$	0.511917	−	1.12094i	0.0398526	−	0.0872651i
$166$	−0.911467	+	0.267631i	−0.0707436	+	0.0207722i
$167$	−1.32577	+	0.605459i	−0.102591	+	0.0468518i	−0.466050	−	0.884759i	$-0.654323\pi$
$167$	−1.32577	+	0.605459i	−0.102591	+	0.0468518i	0.363458	+	0.931610i	$0.381596\pi$
$168$	0.324811	−	1.58055i	0.0250597	−	0.121942i
$169$	−1.52102	−	10.5789i	−0.117002	−	0.813764i
$170$	3.35289	+	0.984497i	0.257155	+	0.0755074i
$171$	−5.03130	+	5.80643i	−0.384753	+	0.444029i
$172$	7.60771	−	11.8378i	0.580083	−	0.902626i
$173$	7.08797	−	11.0291i	0.538889	−	0.838527i	−0.459888	−	0.887977i	$-0.652110\pi$
$173$	7.08797	−	11.0291i	0.538889	−	0.838527i	0.998777	+	0.0494500i	$0.0157468\pi$
$174$	−0.613648	−	0.531729i	−0.0465205	−	0.0403103i
$175$	25.1992	−	9.73082i	1.90488	−	0.735581i
$176$	−1.20707	+	0.173551i	−0.0909865	+	0.0130819i
$177$	−0.724160	−	0.835725i	−0.0544312	−	0.0628169i
$178$	−0.484443	−	1.06078i	−0.0363106	−	0.0795090i
$179$	21.0839	−	6.19079i	1.57588	−	0.462721i	0.627176	−	0.778877i	$-0.284211\pi$
$179$	21.0839	−	6.19079i	1.57588	−	0.462721i	0.948707	+	0.316156i	$0.102392\pi$
$180$	−3.20211	+	7.01165i	−0.238671	+	0.522617i
$181$	2.04479	−	14.2218i	0.151988	−	1.05710i	−0.760894	−	0.648877i	$-0.775239\pi$
$181$	2.04479	−	14.2218i	0.151988	−	1.05710i	0.912882	−	0.408224i	$-0.133852\pi$
$182$	0.580580	+	0.208961i	0.0430354	+	0.0154892i
$183$		−	4.15369i		−	0.307050i
$184$	−2.62677	+	1.28643i	−0.193648	+	0.0948366i
$185$		−	10.9344i		−	0.803912i
$186$	0.591102	−	0.379878i	0.0433417	−	0.0278540i
$187$	−1.82719	−	0.262710i	−0.133617	−	0.0192112i
$188$	−14.9552	−	6.82980i	−1.09072	−	0.498115i
$189$	2.13615	+	1.56104i	0.155382	+	0.113549i
$190$	−1.90906	−	4.18026i	−0.138498	−	0.303268i
$191$	9.91522	−	8.59159i	0.717440	−	0.621666i	−0.217670	−	0.976022i	$-0.569846\pi$
$191$	9.91522	−	8.59159i	0.717440	−	0.621666i	0.935110	+	0.354357i	$0.115300\pi$
$192$	7.36524	−	1.05896i	0.531540	−	0.0764240i
$193$	−2.63741	−	0.774414i	−0.189845	−	0.0557436i	0.185428	−	0.982658i	$-0.440633\pi$
$193$	−2.63741	−	0.774414i	−0.189845	−	0.0557436i	−0.375273	+	0.926914i	$0.622451\pi$
$194$	1.90490	−	2.19837i	0.136764	−	0.157834i
$195$	−4.98896	−	3.20621i	−0.357267	−	0.229601i
$196$	−10.2446	+	9.29863i	−0.731758	+	0.664188i
$197$	0.419424	−	0.484041i	0.0298827	−	0.0344865i	−0.740611	−	0.671934i	$-0.765464\pi$
$197$	0.419424	−	0.484041i	0.0298827	−	0.0344865i	0.770494	+	0.637447i	$0.220010\pi$
$198$	−0.0136532	+	0.0464986i	−0.000970291	+	0.00330451i
$199$	3.03849	+	21.1331i	0.215393	+	1.49809i	0.754751	+	0.656012i	$0.227758\pi$
$199$	3.03849	+	21.1331i	0.215393	+	1.49809i	−0.539358	+	0.842077i	$0.681333\pi$
$200$	−4.07765	−	4.70586i	−0.288333	−	0.332754i
$201$	−6.07978	−	13.3129i	−0.428835	−	0.939017i
$202$	0.507878	+	1.72967i	0.0357342	+	0.121699i
$203$	3.13484	+	13.6518i	0.220023	+	0.958167i
$204$	11.4293	+	1.64329i	0.800212	+	0.115053i
$205$	16.5479	+	25.7490i	1.15575	+	1.79839i
$206$	−0.946720			−0.0659611
$207$	−0.129492	−	4.79408i	−0.00900031	−	0.333212i
$208$			5.86871i			0.406922i
$209$	1.31249	+	2.04227i	0.0907866	+	0.141267i
$210$	−1.38014	+	0.774376i	−0.0952384	+	0.0534370i
$211$	−3.98887	+	8.73440i	−0.274605	+	0.601301i	−0.995813	−	0.0914181i	$-0.970860\pi$
$211$	−3.98887	+	8.73440i	−0.274605	+	0.601301i	0.721208	+	0.692719i	$0.243587\pi$
$212$	−0.175013	−	0.596039i	−0.0120199	−	0.0409361i
$213$	−1.49889	+	0.684519i	−0.102702	+	0.0469025i
$214$	−0.207951	+	0.180191i	−0.0142153	+	0.0123176i
$215$	−27.4835	+	3.95154i	−1.87436	+	0.269493i
$216$	0.171822	−	0.585172i	0.0116910	−	0.0398159i
$217$	−12.0993	−	0.725418i	−0.821357	−	0.0492446i
$218$	−0.781476	+	1.21600i	−0.0529282	+	0.0823579i
$219$	−7.51779	−	4.83139i	−0.508005	−	0.326475i
$220$	1.84072	+	1.59499i	0.124101	+	0.107534i
$221$	−2.50282	+	8.52382i	−0.168358	+	0.573374i
$222$	0.0611963	+	0.425630i	0.00410723	+	0.0285664i
$223$	13.0110	−	11.2741i	0.871284	−	0.754972i	−0.0994719	−	0.995040i	$-0.531715\pi$
$223$	13.0110	−	11.2741i	0.871284	−	0.754972i	0.970756	+	0.240068i	$0.0771699\pi$
$224$	4.23310	+	2.24856i	0.282836	+	0.150238i
$225$	9.79628	−	2.87645i	0.653085	−	0.191763i
$226$	2.41371	+	1.10230i	0.160557	+	0.0733241i
$227$	−1.70991	+	11.8927i	−0.113491	+	0.789344i	0.850988	+	0.525185i	$0.176004\pi$
$227$	−1.70991	+	11.8927i	−0.113491	+	0.789344i	−0.964479	+	0.264160i	$0.914905\pi$
$228$	−8.20979	−	12.7747i	−0.543707	−	0.846024i
$229$	13.3906			0.884875			0.442437	−	0.896799i	$-0.354114\pi$
$229$	13.3906			0.884875			0.442437	+	0.896799i	$0.354114\pi$
$230$	2.64059	+	1.12077i	0.174115	+	0.0739013i
$231$	0.663434	−	0.508667i	0.0436508	−	0.0334678i
$232$	2.71623	−	1.74562i	0.178329	−	0.114605i
$233$	2.54632	−	17.7101i	0.166815	−	1.16022i	−0.718600	−	0.695423i	$-0.755217\pi$
$233$	2.54632	−	17.7101i	0.166815	−	1.16022i	0.885415	−	0.464801i	$-0.153874\pi$
$234$	0.212143	+	0.0968827i	0.0138682	+	0.00633342i
$235$	9.13974	+	31.1271i	0.596211	+	2.03051i
$236$	1.98812	−	0.907945i	0.129416	−	0.0591022i
$237$	3.17348	+	3.66239i	0.206139	+	0.237898i
$238$	1.69548	+	1.65687i	0.109902	+	0.107399i
$239$	22.9840	+	6.74870i	1.48671	+	0.436537i	0.921490	−	0.388403i	$-0.126973\pi$
$239$	22.9840	+	6.74870i	1.48671	+	0.436537i	0.565220	+	0.824940i	$0.308791\pi$
$240$	−11.3753	−	9.85674i	−0.734271	−	0.636250i
$241$	1.64474	+	1.05701i	0.105947	+	0.0680882i	0.592542	−	0.805540i	$-0.298125\pi$
$241$	1.64474	+	1.05701i	0.105947	+	0.0680882i	−0.486594	+	0.873628i	$0.661761\pi$
$242$	−1.40638	−	0.903826i	−0.0904056	−	0.0581001i
$243$	0.755750	+	0.654861i	0.0484814	+	0.0420093i
$244$	7.87713	+	2.31293i	0.504281	+	0.148070i
$245$	27.1043	+	3.26181i	1.73163	+	0.208389i
$246$	−0.788248	−	0.909687i	−0.0502569	−	0.0579995i
$247$	10.6272	−	4.85327i	0.676191	−	0.308806i
$248$	0.787174	+	2.68087i	0.0499856	+	0.170235i
$249$	5.63407	+	2.57299i	0.357044	+	0.163057i
$250$	−0.443487	+	3.08452i	−0.0280486	+	0.195082i
$251$	−3.36454	+	2.16226i	−0.212368	+	0.136481i	−0.642501	−	0.766285i	$-0.722103\pi$
$251$	−3.36454	+	2.16226i	−0.212368	+	0.136481i	0.430133	+	0.902766i	$0.358467\pi$
$252$	−4.14988	+	3.18178i	−0.261418	+	0.200434i
$253$	−1.46498	−	0.387514i	−0.0921027	−	0.0243628i
$254$	−0.499573			−0.0313460
$255$	−12.3181	−	19.1673i	−0.771388	−	1.20030i
$256$	−2.01393	+	14.0072i	−0.125870	+	0.875448i
$257$	23.5165	+	10.7396i	1.46692	+	0.669919i	0.979166	−	0.203063i	$-0.0650897\pi$
$257$	23.5165	+	10.7396i	1.46692	+	0.669919i	0.487752	+	0.872982i	$0.337817\pi$
$258$	1.04770	−	0.307633i	0.0652271	−	0.0191524i
$259$	3.47981	−	6.55105i	0.216225	−	0.407062i
$260$	8.85835	−	7.67580i	0.549372	−	0.476033i
$261$	0.753440	+	5.24029i	0.0466368	+	0.324366i
$262$	0.356457	−	1.21398i	0.0220220	−	0.0750001i
$263$	1.53497	+	1.33006i	0.0946504	+	0.0820150i	0.700901	−	0.713259i	$-0.252782\pi$
$263$	1.53497	+	1.33006i	0.0946504	+	0.0820150i	−0.606250	+	0.795274i	$0.707327\pi$
$264$	−0.162115	−	0.104185i	−0.00997749	−	0.00641214i
$265$	−0.662693	+	1.03117i	−0.0407089	+	0.0633443i
$266$	0.186582	−	3.11204i	0.0114401	−	0.190811i
$267$	−2.14217	+	7.29557i	−0.131099	+	0.446482i
$268$	28.6322	−	4.11669i	1.74899	−	0.251467i
$269$	−0.766213	+	0.663927i	−0.0467168	+	0.0404803i	−0.677906	−	0.735148i	$-0.737112\pi$
$269$	−0.766213	+	0.663927i	−0.0467168	+	0.0404803i	0.631189	+	0.775629i	$0.282567\pi$
$270$	−0.544091	+	0.248478i	−0.0331123	+	0.0151219i
$271$	0.825145	+	2.81019i	0.0501240	+	0.170707i	0.980751	−	0.195262i	$-0.0625558\pi$
$271$	0.825145	+	2.81019i	0.0501240	+	0.170707i	−0.930627	+	0.365969i	$0.880738\pi$
$272$	−9.36646	+	20.5097i	−0.567925	+	1.24358i
$273$	−1.96864	−	3.50862i	−0.119148	−	0.212352i
$274$	1.81644	+	2.82643i	0.109735	+	0.170751i
$275$		−	3.22607i		−	0.194539i
$276$	9.16368	+	2.42396i	0.551589	+	0.145905i
$277$	−16.1723			−0.971698			−0.485849	−	0.874043i	$-0.661490\pi$
$277$	−16.1723			−0.971698			−0.485849	+	0.874043i	$0.661490\pi$
$278$	−0.273578	−	0.425695i	−0.0164081	−	0.0255315i
$279$	−4.53470	−	0.651992i	−0.271486	−	0.0390337i
$280$	−1.40838	−	6.13331i	−0.0841671	−	0.366535i
$281$	5.61439	+	19.1209i	0.334927	+	1.14065i	0.939055	+	0.343768i	$0.111703\pi$
$281$	5.61439	+	19.1209i	0.334927	+	1.14065i	−0.604128	+	0.796887i	$0.706479\pi$
$282$	−0.529980	−	1.16049i	−0.0315598	−	0.0691064i
$283$	−8.87973	−	10.2478i	−0.527845	−	0.609166i	0.427733	−	0.903905i	$-0.359313\pi$
$283$	−8.87973	−	10.2478i	−0.527845	−	0.609166i	−0.955578	+	0.294740i	$0.904767\pi$
$284$	−0.463496	−	3.22368i	−0.0275034	−	0.191290i
$285$	−8.44172	+	28.7499i	−0.500044	+	1.70300i
$286$	0.0482578	−	0.0556924i	0.00285354	−	0.00329316i
$287$	1.71974	+	20.6931i	0.101513	+	1.22147i
$288$	1.52408	+	0.979465i	0.0898071	+	0.0577155i
$289$	−11.2181	+	12.9464i	−0.659890	+	0.761553i
$290$	−3.03841	−	0.892156i	−0.178421	−	0.0523892i
$291$	−18.7732	+	2.69917i	−1.10050	+	0.158228i
$292$	13.3485	−	11.5666i	0.781163	−	0.676882i
$293$	8.73339	+	19.1234i	0.510210	+	1.11720i	0.973015	+	0.230743i	$0.0741158\pi$
$293$	8.73339	+	19.1234i	0.510210	+	1.11720i	−0.462805	+	0.886460i	$0.653157\pi$
$294$	−1.07331	+	0.0247258i	−0.0625968	+	0.00144204i
$295$	−3.92296	−	1.79155i	−0.228403	−	0.104308i
$296$	−1.69251	−	0.243346i	−0.0983750	−	0.0141442i
$297$	0.265816	−	0.170830i	0.0154242	−	0.00991254i
$298$		−	1.26449i		−	0.0732497i
$299$	−2.84925	+	6.71300i	−0.164777	+	0.388223i
$300$			20.1795i			1.16507i
$301$	−17.7236	−	6.37903i	−1.02157	−	0.367681i
$302$	0.201408	−	1.40083i	0.0115898	−	0.0806085i
$303$	4.88272	−	10.6917i	0.280505	−	0.614220i
$304$	28.4508	−	8.35392i	1.63177	−	0.479130i
$305$	−6.72944	−	14.7354i	−0.385327	−	0.843747i
$306$	0.586764	+	0.677162i	0.0335431	+	0.0387108i
$307$	7.13795	−	1.02628i	0.407384	−	0.0585730i	0.0644232	−	0.997923i	$-0.479479\pi$
$307$	7.13795	−	1.02628i	0.407384	−	0.0585730i	0.342961	+	0.939350i	$0.388570\pi$
$308$	0.595219	+	1.54139i	0.0339157	+	0.0878290i
$309$	4.66505	+	4.04229i	0.265385	+	0.229958i
$310$	1.48152	−	2.30528i	0.0841445	−	0.130931i
$311$	−2.05398	+	3.19605i	−0.116470	+	0.181232i	−0.894594	−	0.446879i	$-0.852535\pi$
$311$	−2.05398	+	3.19605i	−0.116470	+	0.181232i	0.778124	+	0.628111i	$0.216172\pi$
$312$	−0.607311	+	0.700874i	−0.0343822	+	0.0396792i
$313$	−10.7417	−	3.15405i	−0.607156	−	0.178277i	−0.0363189	−	0.999340i	$-0.511563\pi$
$313$	−10.7417	−	3.15405i	−0.607156	−	0.178277i	−0.570838	+	0.821063i	$0.693381\pi$
$314$	−0.122288	−	0.850531i	−0.00690110	−	0.0479982i
$315$	10.1072	+	2.07707i	0.569474	+	0.117030i
$316$	−8.71252	+	3.97887i	−0.490118	+	0.223829i
$317$	−10.1207	+	2.97171i	−0.568437	+	0.166908i	−0.553307	−	0.832977i	$-0.686634\pi$
$317$	−10.1207	+	2.97171i	−0.568437	+	0.166908i	−0.0151298	+	0.999886i	$0.504816\pi$
$318$	0.0200247	−	0.0438480i	0.00112293	−	0.00245887i
$319$	1.65581	+	0.238069i	0.0927074	+	0.0133293i
$320$	24.4129	−	15.6892i	1.36472	−	0.877054i
$321$	1.79408			0.100136
$322$	1.22536	+	1.51183i	0.0682867	+	0.0842511i
$323$	44.8852			2.49748
$324$	−1.66272	+	1.06856i	−0.0923733	+	0.0593647i
$325$	−15.3673	−	2.20948i	−0.852423	−	0.122560i
$326$	−0.00772997	+	0.0169263i	−0.000428123	+	0.000937459i
$327$	9.04285	−	2.65522i	0.500071	−	0.146834i
$328$	4.35390	−	1.98836i	0.240404	−	0.109789i
$329$	−4.43020	+	21.5576i	−0.244245	+	1.18851i
$330$	0.0268974	+	0.187076i	0.00148065	+	0.0102982i
$331$	−33.0847	−	9.71454i	−1.81850	−	0.533959i	−0.819276	−	0.573399i	$-0.805625\pi$
$331$	−33.0847	−	9.71454i	−1.81850	−	0.533959i	−0.999222	+	0.0394396i	$0.987443\pi$
$332$	−8.01672	+	9.25179i	−0.439975	+	0.507758i
$333$	1.51580	−	2.35863i	0.0830651	−	0.129252i
$334$	0.120852	−	0.188050i	0.00661274	−	0.0102896i
$335$	−43.1366	−	37.3781i	−2.35681	−	2.04218i
$336$	−3.67834	−	9.52552i	−0.200670	−	0.519660i
$337$	32.9372	−	4.73565i	1.79420	−	0.257968i	0.836963	−	0.547260i	$-0.184329\pi$
$337$	32.9372	−	4.73565i	1.79420	−	0.257968i	0.957241	+	0.289292i	$0.0934199\pi$
$338$	1.07344	+	1.23881i	0.0583873	+	0.0673826i
$339$	−7.18717	−	15.7377i	−0.390354	−	0.854755i
$340$	43.2083	−	12.6871i	2.34330	−	0.688055i
$341$	−0.601352	+	1.31678i	−0.0325650	+	0.0713075i
$342$	0.167697	−	1.16636i	0.00906801	−	0.0630694i
$343$	15.2008	+	10.5800i	0.820764	+	0.571267i
$344$			4.34205i			0.234108i
$345$	−8.22632	−	16.7974i	−0.442890	−	0.904344i
$346$			2.01074i			0.108098i
$347$	5.88422	−	3.78156i	0.315882	−	0.203005i	−0.373086	−	0.927797i	$-0.621700\pi$
$347$	5.88422	−	3.78156i	0.315882	−	0.203005i	0.688968	+	0.724792i	$0.258064\pi$
$348$	−10.3573	−	1.48916i	−0.555210	−	0.0798272i
$349$	17.4085	+	7.95020i	0.931856	+	0.425564i	0.822710	−	0.568461i	$-0.192461\pi$
$349$	17.4085	+	7.95020i	0.931856	+	0.425564i	0.109146	+	0.994026i	$0.465188\pi$
$350$	−2.44443	+	3.34499i	−0.130660	+	0.178797i
$351$	−0.631688	−	1.38320i	−0.0337170	−	0.0738300i
$352$	0.432626	−	0.374873i	0.0230590	−	0.0199808i
$353$	−18.1844	+	2.61453i	−0.967860	+	0.139157i	−0.608076	−	0.793878i	$-0.708059\pi$
$353$	−18.1844	+	2.61453i	−0.967860	+	0.139157i	−0.359784	+	0.933036i	$0.617150\pi$
$354$	0.162731	+	0.0477821i	0.00864905	+	0.00253959i
$355$	−4.20838	+	4.85673i	−0.223358	+	0.257768i
$356$	−12.6426	−	8.12490i	−0.670056	−	0.430619i
$357$	−1.28015	−	15.4037i	−0.0677530	−	0.815252i
$358$	−2.20699	+	2.54700i	−0.116643	+	0.134613i
$359$	5.72462	−	19.4962i	0.302134	−	1.02897i	−0.658829	−	0.752293i	$-0.728948\pi$
$359$	5.72462	−	19.4962i	0.302134	−	1.02897i	0.960962	−	0.276680i	$-0.0892341\pi$
$360$	−0.338497	−	2.35430i	−0.0178403	−	0.124082i
$361$	−26.2132	−	30.2517i	−1.37964	−	1.59219i
$362$	0.915428	+	2.00451i	0.0481138	+	0.105355i
$363$	3.07093	+	10.4586i	0.161182	+	0.548935i
$364$	7.75003	−	1.77963i	0.406212	−	0.0932780i
$365$	−34.4971	−	4.95994i	−1.80566	−	0.259615i
$366$	0.344418	+	0.535925i	0.0180030	+	0.0280133i
$367$	−5.10405			−0.266429			−0.133215	−	0.991087i	$-0.542530\pi$
$367$	−5.10405			−0.266429			−0.133215	+	0.991087i	$0.542530\pi$
$368$	−9.58271	+	15.8354i	−0.499533	+	0.825476i
$369$			7.84821i			0.408562i
$370$	0.906664	+	1.41080i	0.0471352	+	0.0733438i
$371$	−0.725199	+	0.406900i	−0.0376505	+	0.0211252i
$372$	3.76154	−	8.23663i	0.195027	−	0.427049i
$373$	2.72457	+	9.27905i	0.141073	+	0.480451i	0.999471	−	0.0325342i	$-0.0103578\pi$
$373$	2.72457	+	9.27905i	0.141073	+	0.480451i	−0.858397	+	0.512985i	$0.828540\pi$
$374$	0.257534	−	0.117612i	0.0133168	−	0.00608157i
$375$	15.3555	−	13.3057i	0.792957	−	0.687101i
$376$	5.02149	−	0.721981i	0.258964	−	0.0372333i
$377$	2.26807	−	7.72433i	0.116811	−	0.397823i
$378$	−0.405054	−	0.0242851i	−0.0208337	−	0.00124909i
$379$	−10.1725	+	15.8287i	−0.522526	+	0.813066i	−0.997767	−	0.0667894i	$-0.978724\pi$
$379$	−10.1725	+	15.8287i	−0.522526	+	0.813066i	0.475241	+	0.879856i	$0.342361\pi$
$380$	−49.8210	−	32.0180i	−2.55577	−	1.64249i
$381$	2.46169	+	2.13307i	0.126116	+	0.109280i
$382$	−0.566898	+	1.93068i	−0.0290050	+	0.0987820i
$383$	−1.40157	−	9.74814i	−0.0716169	−	0.498107i	−0.993785	−	0.111317i	$-0.964493\pi$
$383$	−1.40157	−	9.74814i	−0.0716169	−	0.498107i	0.922168	−	0.386790i	$-0.126416\pi$
$384$	−3.60083	+	3.12014i	−0.183754	+	0.159224i
$385$	1.52947	−	2.87936i	0.0779489	−	0.146746i
$386$	0.404502	−	0.118773i	0.0205886	−	0.00604537i
$387$	−6.47618	−	2.95757i	−0.329203	−	0.150342i
$388$	5.33486	−	37.1047i	0.270836	−	1.88371i
$389$	−13.1719	−	20.4959i	−0.667842	−	1.03918i	−0.995535	−	0.0943975i	$-0.969908\pi$
$389$	−13.1719	−	20.4959i	−0.667842	−	1.03918i	0.327693	−	0.944784i	$-0.393729\pi$
$390$	0.909549			0.0460568
$391$	−20.6714	+	18.9129i	−1.04540	+	0.956465i
$392$	1.10810	−	4.12282i	0.0559673	−	0.208234i
$393$	−6.93992	+	4.46001i	−0.350072	+	0.224978i
$394$	−0.0139797	+	0.0972309i	−0.000704287	+	0.00489842i
$395$	17.1915	+	7.85111i	0.864999	+	0.395032i
$396$	0.175948	+	0.599223i	0.00884170	+	0.0301121i
$397$	−18.0218	+	8.23027i	−0.904487	+	0.413065i	−0.812679	−	0.582711i	$-0.801992\pi$
$397$	−18.0218	+	8.23027i	−0.904487	+	0.413065i	−0.0918078	+	0.995777i	$0.529265\pi$
$398$	−2.14437	−	2.47473i	−0.107487	−	0.124047i
$399$	−14.2071	+	14.5382i	−0.711246	+	0.727819i
$400$	−37.8079	−	11.1014i	−1.89040	−	0.555070i
$401$	−0.260144	−	0.225416i	−0.0129910	−	0.0112567i	0.648341	−	0.761350i	$-0.275463\pi$
$401$	−0.260144	−	0.225416i	−0.0129910	−	0.0112567i	−0.661332	+	0.750093i	$0.730009\pi$
$402$	1.88832	+	1.21355i	0.0941809	+	0.0605264i
$403$	5.86057	+	3.76636i	0.291936	+	0.187616i
$404$	17.5569	+	15.2132i	0.873491	+	0.756884i
$405$	3.74200	+	1.09875i	0.185942	+	0.0545974i
$406$	−1.53646	−	1.50147i	−0.0762530	−	0.0745166i
$407$	−0.580144	−	0.669522i	−0.0287567	−	0.0331870i
$408$	−3.24100	+	1.48011i	−0.160453	+	0.0732766i
$409$	4.68515	+	15.9562i	0.231666	+	0.788981i	0.990478	+	0.137672i	$0.0439619\pi$
$409$	4.68515	+	15.9562i	0.231666	+	0.788981i	−0.758812	+	0.651310i	$0.774220\pi$
$410$	−4.27014	−	1.95011i	−0.210887	−	0.0963089i
$411$	3.11759	−	21.6833i	0.153779	−	1.06956i
$412$	−10.2635	+	6.59598i	−0.505648	+	0.324960i
$413$	−1.78018	−	2.32182i	−0.0875970	−	0.114249i
$414$	0.414226	+	0.607814i	0.0203581	+	0.0298724i
$415$	24.1556			1.18575
$416$	−1.48939	−	2.31754i	−0.0730236	−	0.113627i
$417$	−0.469547	+	3.26577i	−0.0229938	+	0.159925i
$418$	−0.338684	−	0.154672i	−0.0165656	−	0.00756525i
$419$	18.9086	−	5.55205i	0.923744	−	0.271236i	0.214928	−	0.976630i	$-0.431048\pi$
$419$	18.9086	−	5.55205i	0.923744	−	0.271236i	0.708815	+	0.705394i	$0.249230\pi$
$420$	−9.56704	+	18.0108i	−0.466824	+	0.878837i
$421$	−10.2287	+	8.86318i	−0.498514	+	0.431965i	−0.867476	−	0.497480i	$-0.834259\pi$
$421$	−10.2287	+	8.86318i	−0.498514	+	0.431965i	0.368961	+	0.929445i	$0.379713\pi$
$422$	−0.209585	−	1.45770i	−0.0102024	−	0.0709596i
$423$	−2.34353	+	7.98134i	−0.113947	+	0.388066i
$424$	0.144864	+	0.125525i	0.00703522	+	0.00609605i
$425$	−50.1785	−	32.2478i	−2.43402	−	1.56425i
$426$	0.136633	−	0.212605i	0.00661989	−	0.0103007i
$427$	0.657704	−	10.9699i	0.0318285	−	0.530872i
$428$	−0.999010	+	3.40232i	−0.0482890	+	0.164457i
$429$	−0.475589	+	0.0683794i	−0.0229617	+	0.00330139i
$430$	3.21838	−	2.78874i	0.155204	−	0.134485i
$431$	−31.0510	+	14.1805i	−1.49567	+	0.683051i	−0.984332	−	0.176328i	$-0.943578\pi$
$431$	−31.0510	+	14.1805i	−1.49567	+	0.683051i	−0.511341	+	0.859378i	$0.670851\pi$
$432$	−1.08732	−	3.70308i	−0.0523139	−	0.178165i
$433$	11.1572	−	24.4308i	0.536179	−	1.17407i	−0.426764	−	0.904363i	$-0.640347\pi$
$433$	11.1572	−	24.4308i	0.536179	−	1.17407i	0.962943	−	0.269705i	$-0.0869261\pi$
$434$	1.62126	−	0.909665i	0.0778227	−	0.0436653i
$435$	11.1627	+	17.3695i	0.535211	+	0.832805i
$436$			18.6275i			0.892098i
$437$	36.5997	+	4.25712i	1.75080	+	0.203646i
$438$	1.37059			0.0654892
$439$	−10.2641	−	15.9713i	−0.489880	−	0.762268i	0.505023	−	0.863106i	$-0.331484\pi$
$439$	−10.2641	−	15.9713i	−0.489880	−	0.762268i	−0.994903	+	0.100838i	$0.967848\pi$
$440$	−0.743902	−	0.106957i	−0.0354641	−	0.00509897i
$441$	5.39442	+	4.46097i	0.256877	+	0.212427i
$442$	−0.383860	−	1.30731i	−0.0182583	−	0.0621822i
$443$	−1.64179	−	3.59501i	−0.0780036	−	0.170804i	0.866612	−	0.498982i	$-0.166293\pi$
$443$	−1.64179	−	3.59501i	−0.0780036	−	0.170804i	−0.944616	+	0.328178i	$0.893565\pi$
$444$	3.62888	+	4.18795i	0.172219	+	0.198751i
$445$	4.22017	+	29.3519i	0.200055	+	1.39142i
$446$	−0.743900	+	2.53349i	−0.0352247	+	0.119964i
$447$	−5.39908	+	6.23087i	−0.255368	+	0.294710i
$448$	19.6193	−	1.63050i	0.926927	−	0.0770339i
$449$	−6.44486	−	4.14186i	−0.304152	−	0.195467i	0.379658	−	0.925127i	$-0.376042\pi$
$449$	−6.44486	−	4.14186i	−0.304152	−	0.195467i	−0.683810	+	0.729660i	$0.739678\pi$
$450$	−1.02544	+	1.18342i	−0.0483398	+	0.0557871i
$451$	2.37940	+	0.698654i	0.112042	+	0.0328984i
$452$	33.8473	−	4.86651i	1.59205	−	0.228902i
$453$	−6.97369	+	6.04273i	−0.327652	+	0.283912i
$454$	−0.765505	−	1.67622i	−0.0359269	−	0.0786690i
$455$	−12.6682	−	9.25759i	−0.593895	−	0.434003i
$456$	4.26225	+	1.94650i	0.199598	+	0.0911534i
$457$	24.8361	+	3.57089i	1.16178	+	0.167039i	0.696122	−	0.717923i	$-0.254907\pi$
$457$	24.8361	+	3.57089i	1.16178	+	0.167039i	0.465662	+	0.884963i	$0.345816\pi$
$458$	−1.72770	+	1.11033i	−0.0807303	+	0.0518822i
$459$		−	5.84214i		−	0.272688i
$460$	36.4357	−	6.24707i	1.69882	−	0.291271i
$461$		−	20.4941i		−	0.954504i	−0.878766	−	0.477252i	$-0.841633\pi$
$461$		−	20.4941i		−	0.954504i	0.878766	−	0.477252i	$-0.158367\pi$
$462$	−0.0434209	+	0.120641i	−0.00202012	+	0.00561274i
$463$	−2.11065	+	14.6799i	−0.0980904	+	0.682234i	0.880140	+	0.474714i	$0.157448\pi$
$463$	−2.11065	+	14.6799i	−0.0980904	+	0.682234i	−0.978231	+	0.207520i	$0.933461\pi$
$464$	8.48794	−	18.5860i	0.394043	−	0.862833i
$465$	−17.1434	+	5.03375i	−0.795005	+	0.233435i
$466$	1.13996	+	2.49616i	0.0528075	+	0.115632i
$467$	−6.73405	−	7.77150i	−0.311615	−	0.359622i	0.578240	−	0.815867i	$-0.303740\pi$
$467$	−6.73405	−	7.77150i	−0.311615	−	0.359622i	−0.889855	+	0.456244i	$0.849194\pi$
$468$	2.97488	−	0.427723i	0.137514	−	0.0197715i
$469$	−13.9488	−	36.1221i	−0.644095	−	1.66796i
$470$	−3.76026	−	3.25828i	−0.173448	−	0.150293i
$471$	−3.02900	+	4.71321i	−0.139569	+	0.217173i
$472$	−0.364616	+	0.567354i	−0.0167828	+	0.0261146i
$473$	−1.47318	+	1.70014i	−0.0677371	+	0.0781727i
$474$	−0.713134	−	0.209395i	−0.0327553	−	0.00961783i
$475$	11.1635	+	77.6440i	0.512217	+	3.56255i
$476$	29.9247	+	6.14968i	1.37160	+	0.281870i
$477$	−0.285895	+	0.130564i	−0.0130902	+	0.00597811i
$478$	−3.52507	+	1.03506i	−0.161233	+	0.0473423i
$479$	9.96378	−	21.8176i	0.455257	−	0.996873i	−0.533286	−	0.845935i	$-0.679043\pi$
$479$	9.96378	−	21.8176i	0.455257	−	0.996873i	0.988543	−	0.150938i	$-0.0482295\pi$
$480$	6.99358	+	1.00552i	0.319212	+	0.0458957i
$481$	−3.58657	+	2.30495i	−0.163534	+	0.105097i
$482$	−0.299857			−0.0136581
$483$	0.417115	−	12.6817i	0.0189794	−	0.577038i
$484$	−21.5439			−0.979269
$485$	−62.2257	+	39.9901i	−2.82553	+	1.81585i
$486$	−0.151810	−	0.0218270i	−0.00688623	−	0.000990091i
$487$	−16.8700	+	36.9401i	−0.764452	+	1.67392i	−0.0259518	+	0.999663i	$0.508262\pi$
$487$	−16.8700	+	36.9401i	−0.764452	+	1.67392i	−0.738500	+	0.674253i	$0.764466\pi$
$488$	−2.43062	+	0.713695i	−0.110029	+	0.0323075i
$489$	0.110362	−	0.0504005i	0.00499072	−	0.00227919i
$490$	−3.76757	+	1.82660i	−0.170201	+	0.0825174i
$491$	5.61128	+	39.0273i	0.253234	+	1.76128i	0.578525	+	0.815665i	$0.303629\pi$
$491$	5.61128	+	39.0273i	0.253234	+	1.76128i	−0.325291	+	0.945614i	$0.605462\pi$
$492$	−14.8835	−	4.37018i	−0.670999	−	0.197023i
$493$	20.2544	−	23.3748i	0.912211	−	1.05275i
$494$	−0.968733	+	1.50738i	−0.0435854	+	0.0678202i
$495$	0.666232	−	1.03668i	0.0299449	−	0.0465952i
$496$	13.3626	+	11.5788i	0.600000	+	0.519903i
$497$	−4.06697	+	1.57048i	−0.182428	+	0.0704459i
$498$	−0.940278	+	0.135192i	−0.0421349	+	0.00605808i
$499$	19.2552	+	22.2217i	0.861980	+	0.994778i	0.999991	+	0.00434705i	$0.00138371\pi$
$499$	19.2552	+	22.2217i	0.861980	+	0.994778i	−0.138011	+	0.990431i	$0.544071\pi$
$500$	16.6825	+	36.5296i	0.746065	+	1.63365i
$501$	−1.39844	+	0.410620i	−0.0624778	+	0.0183451i
$502$	0.254815	−	0.557966i	0.0113729	−	0.0249033i
$503$	−1.60036	+	11.1308i	−0.0713567	+	0.496297i	0.922533	+	0.385918i	$0.126115\pi$
$503$	−1.60036	+	11.1308i	−0.0713567	+	0.496297i	−0.993890	+	0.110378i	$0.964794\pi$
$504$	0.546441	−	1.51824i	0.0243404	−	0.0676277i
$505$		−	45.8397i		−	2.03984i
$506$	0.221150	−	0.0714758i	0.00983131	−	0.00317749i
$507$		−	10.6877i		−	0.474658i
$508$	−5.41595	+	3.48062i	−0.240294	+	0.154428i
$509$	−29.6469	−	4.26258i	−1.31408	−	0.188936i	−0.550599	−	0.834770i	$-0.685601\pi$
$509$	−29.6469	−	4.26258i	−1.31408	−	0.188936i	−0.763478	+	0.645834i	$0.776510\pi$
$510$	3.17865	+	1.45164i	0.140753	+	0.0642798i
$511$	−19.0895	−	13.9501i	−0.844472	−	0.617118i
$512$	−4.86017	−	10.6423i	−0.214791	−	0.470327i
$513$	−5.80643	+	5.03130i	−0.256360	+	0.222137i
$514$	−3.92470	+	0.564287i	−0.173111	+	0.0248896i
$515$	23.0984	+	6.78231i	1.01784	+	0.298864i
$516$	9.21497	−	10.6346i	0.405667	−	0.468164i
$517$	2.21114	+	1.42101i	0.0972457	+	0.0624960i
$518$	0.0942250	+	1.13378i	0.00414001	+	0.0498155i
$519$	8.58543	−	9.90812i	0.376859	−	0.434918i
$520$	−1.01897	+	3.47030i	−0.0446848	+	0.152183i
$521$	0.236360	+	1.64392i	0.0103551	+	0.0720214i	0.994344	−	0.106210i	$-0.0338716\pi$
$521$	0.236360	+	1.64392i	0.0103551	+	0.0720214i	−0.983989	+	0.178231i	$0.942962\pi$
$522$	−0.531729	−	0.613648i	−0.0232732	−	0.0268586i
$523$	17.1434	+	37.5389i	0.749631	+	1.64146i	0.767028	+	0.641613i	$0.221735\pi$
$523$	17.1434	+	37.5389i	0.749631	+	1.64146i	−0.0173976	+	0.999849i	$0.505538\pi$
$524$	−4.59363	−	15.6445i	−0.200674	−	0.683432i
$525$	26.3275	−	6.04556i	1.14903	−	0.263850i
$526$	−0.308335	−	0.0443318i	−0.0134440	−	0.00193296i
$527$	14.4701	+	22.5160i	0.630329	+	0.980811i
$528$	−1.21948			−0.0530713
$529$	−18.6494	+	13.4611i	−0.810842	+	0.585265i
$530$		−	0.187995i		−	0.00816599i
$531$	−0.597853	−	0.930277i	−0.0259446	−	0.0403706i
$532$	−19.6594	−	35.0380i	−0.852342	−	1.51909i
$533$	4.95763	−	10.8557i	0.214739	−	0.470212i
$534$	−0.328547	−	1.11893i	−0.0142176	−	0.0484208i
$535$	6.36457	−	2.90660i	0.275164	−	0.125663i
$536$	−6.74568	+	5.84516i	−0.291369	+	0.252473i
$537$	21.7503	−	3.12722i	0.938596	−	0.134950i
$538$	0.0438078	−	0.149196i	0.00188869	−	0.00643228i
$539$	1.83268	−	1.23834i	0.0789391	−	0.0533393i
$540$	−4.16738	+	6.48457i	−0.179335	+	0.279051i
$541$	−2.59298	−	1.66641i	−0.111481	−	0.0716446i	0.483712	−	0.875227i	$-0.339288\pi$
$541$	−2.59298	−	1.66641i	−0.111481	−	0.0716446i	−0.595193	+	0.803583i	$0.702925\pi$
$542$	−0.339480	−	0.294161i	−0.0145819	−	0.0126353i
$543$	4.04796	−	13.7861i	0.173714	−	0.591617i
$544$	−1.50627	−	10.4763i	−0.0645807	−	0.449168i
$545$	27.7782	−	24.0699i	1.18989	−	1.03104i
$546$	0.544932	+	0.289459i	0.0233209	+	0.0123877i
$547$	1.70078	−	0.499393i	0.0727200	−	0.0213525i	−0.245170	−	0.969480i	$-0.578844\pi$
$547$	1.70078	−	0.499393i	0.0727200	−	0.0213525i	0.317890	+	0.948128i	$0.397026\pi$
$548$	39.3846	+	17.9863i	1.68243	+	0.768338i
$549$	0.591132	−	4.11141i	0.0252289	−	0.175471i
$550$	0.267501	+	0.416240i	0.0114063	+	0.0177485i
$551$	−40.6752			−1.73282
$552$	−2.78311	+	0.899504i	−0.118457	+	0.0382854i
$553$	7.80127	+	10.1749i	0.331744	+	0.432680i
$554$	2.08661	−	1.34098i	0.0886516	−	0.0569729i
$555$	1.55613	−	10.8231i	0.0660539	−	0.459415i
$556$	−5.93180	−	2.70896i	−0.251564	−	0.114886i
$557$	−4.17107	−	14.2054i	−0.176734	−	0.601900i	−0.999441	−	0.0334347i	$-0.989355\pi$
$557$	−4.17107	−	14.2054i	−0.176734	−	0.601900i	0.822707	−	0.568466i	$-0.192463\pi$
$558$	0.639147	−	0.291889i	0.0270573	−	0.0123566i
$559$	7.08962	+	8.18186i	0.299859	+	0.346056i
$560$	−28.4815	−	27.8329i	−1.20356	−	1.17616i
$561$	−1.77120	−	0.520072i	−0.0747802	−	0.0219574i
$562$	−2.30987	−	2.00151i	−0.0974358	−	0.0844286i
$563$	2.89841	+	1.86269i	0.122153	+	0.0785032i	0.600291	−	0.799782i	$-0.295052\pi$
$563$	2.89841	+	1.86269i	0.122153	+	0.0785032i	−0.478137	+	0.878285i	$0.658688\pi$
$564$	−13.8310	−	8.88863i	−0.582389	−	0.374279i
$565$	−50.9937	−	44.1863i	−2.14532	−	1.85893i
$566$	1.99543	+	0.585910i	0.0838740	+	0.0246276i
$567$	1.89225	+	1.84916i	0.0794670	+	0.0776574i
$568$	0.658103	+	0.759492i	0.0276134	+	0.0318676i
$569$	24.5111	−	11.1938i	1.02756	−	0.469270i	0.170973	−	0.985276i	$-0.445309\pi$
$569$	24.5111	−	11.1938i	1.02756	−	0.469270i	0.856585	+	0.516005i	$0.172582\pi$
$570$	−1.29471	−	4.40939i	−0.0542296	−	0.184689i
$571$	13.8887	+	6.34274i	0.581223	+	0.265436i	0.684255	−	0.729242i	$-0.260127\pi$
$571$	13.8887	+	6.34274i	0.581223	+	0.265436i	−0.103033	+	0.994678i	$0.532855\pi$
$572$	0.135150	−	0.939992i	0.00565092	−	0.0393030i
$573$	11.0370	−	7.09306i	0.461078	−	0.296317i
$574$	−1.93773	−	2.52730i	−0.0808792	−	0.105488i
$575$	−37.8573	−	31.0542i	−1.57876	−	1.29505i
$576$	7.44098			0.310041
$577$	6.12698	+	9.53377i	0.255070	+	0.396896i	0.945047	−	0.326935i	$-0.106016\pi$
$577$	6.12698	+	9.53377i	0.255070	+	0.396896i	−0.689977	+	0.723831i	$0.742379\pi$
$578$	0.373908	−	2.60059i	0.0155525	−	0.108170i
$579$	−2.50036	−	1.14187i	−0.103911	−	0.0474547i
$580$	−39.1557	+	11.4971i	−1.62585	+	0.477393i
$581$	14.4722	+	7.68740i	0.600408	+	0.318927i
$582$	2.19837	−	1.90490i	0.0911256	−	0.0789608i
$583$	0.0141334	+	0.0982998i	0.000585344	+	0.00407116i
$584$	−1.53547	+	5.22934i	−0.0635383	+	0.216392i
$585$	−4.48189	−	3.88358i	−0.185303	−	0.160566i
$586$	−2.71250	−	1.74322i	−0.112053	−	0.0720118i
$587$	7.21304	−	11.2237i	0.297714	−	0.463252i	−0.659881	−	0.751370i	$-0.729393\pi$
$587$	7.21304	−	11.2237i	0.297714	−	0.463252i	0.957595	+	0.288118i	$0.0930295\pi$
$588$	−11.4637	+	7.74602i	−0.472754	+	0.319441i
$589$	9.91655	−	33.7727i	0.408604	−	1.39158i
$590$	0.654708	−	0.0941328i	0.0269539	−	0.00387539i
$591$	0.484041	−	0.419424i	0.0199108	−	0.0172528i
$592$	−9.84282	+	4.49507i	−0.404537	+	0.184746i
$593$	9.41855	+	32.0766i	0.386773	+	1.31723i	0.891136	+	0.453737i	$0.149909\pi$
$593$	9.41855	+	32.0766i	0.386773	+	1.31723i	−0.504362	+	0.863492i	$0.668272\pi$
$594$	−0.0201317	+	0.0440822i	−0.000826012	+	0.00180872i
$595$	−29.4972	−	52.5715i	−1.20927	−	2.15522i
$596$	−8.80991	−	13.7085i	−0.360868	−	0.561522i
$597$			21.3505i			0.873816i
$598$	−0.189011	−	1.10239i	−0.00772922	−	0.0450802i
$599$	3.92761			0.160478			0.0802389	−	0.996776i	$-0.474432\pi$
$599$	3.92761			0.160478			0.0802389	+	0.996776i	$0.474432\pi$
$600$	−3.36643	−	5.23827i	−0.137434	−	0.213851i
$601$	−18.1571	−	2.61060i	−0.740645	−	0.106489i	−0.238343	−	0.971181i	$-0.576604\pi$
$601$	−18.1571	−	2.61060i	−0.740645	−	0.106489i	−0.502302	+	0.864692i	$0.667513\pi$
$602$	2.81570	−	0.646567i	0.114760	−	0.0263521i
$603$	−4.12328	−	14.0426i	−0.167913	−	0.571859i
$604$	−7.57632	−	16.5898i	−0.308276	−	0.675031i
$605$	27.8384	+	32.1272i	1.13179	+	1.30616i
$606$	0.256550	+	1.78435i	0.0104216	+	0.0724841i
$607$	−9.63264	+	32.8057i	−0.390977	+	1.33154i	0.495434	+	0.868645i	$0.335009\pi$
$607$	−9.63264	+	32.8057i	−0.390977	+	1.33154i	−0.886411	+	0.462899i	$0.846809\pi$
$608$	−9.11509	+	10.5194i	−0.369666	+	0.426617i
$609$	1.16008	+	13.9590i	0.0470090	+	0.565645i
$610$	2.09010	+	1.34322i	0.0846256	+	0.0543856i
$611$	8.28331	−	9.55945i	0.335107	−	0.386734i
$612$	11.0791	+	3.25312i	0.447847	+	0.131500i
$613$	−3.90188	+	0.561006i	−0.157595	+	0.0226588i	−0.220661	−	0.975351i	$-0.570821\pi$
$613$	−3.90188	+	0.561006i	−0.157595	+	0.0226588i	0.0630654	+	0.998009i	$0.479912\pi$
$614$	−0.835867	+	0.724283i	−0.0337329	+	0.0292297i
$615$	12.7150	+	27.8419i	0.512717	+	1.12269i
$616$	−0.411650	−	0.300823i	−0.0165859	−	0.0121205i
$617$	37.6375	+	17.1885i	1.51523	+	0.691982i	0.987527	−	0.157447i	$-0.0503265\pi$
$617$	37.6375	+	17.1885i	1.51523	+	0.691982i	0.527702	+	0.849430i	$0.323054\pi$
$618$	−0.937084	−	0.134732i	−0.0376950	−	0.00541973i
$619$	−23.0166	+	14.7919i	−0.925115	+	0.594535i	−0.914138	−	0.405404i	$-0.867131\pi$
$619$	−23.0166	+	14.7919i	−0.925115	+	0.594535i	−0.0109778	+	0.999940i	$0.503494\pi$
$620$		−	35.3140i		−	1.41824i
$621$	0.554095	−	4.76371i	0.0222351	−	0.191161i
$622$		−	0.582680i		−	0.0233633i
$623$	−6.81269	+	18.9285i	−0.272945	+	0.758353i
$624$	−0.835204	+	5.80897i	−0.0334349	+	0.232545i
$625$	11.7113	−	25.6441i	0.468451	−	1.02576i
$626$	1.64746	−	0.483739i	0.0658459	−	0.0193341i
$627$	1.00848	+	2.20827i	0.0402749	+	0.0881897i
$628$	−7.25155	−	8.36874i	−0.289368	−	0.333949i
$629$	−16.2129	+	2.33106i	−0.646451	+	0.0929456i
$630$	−1.47629	+	0.570080i	−0.0588169	+	0.0227125i
$631$	−27.4594	−	23.7937i	−1.09314	−	0.947213i	−0.0943108	−	0.995543i	$-0.530065\pi$
$631$	−27.4594	−	23.7937i	−1.09314	−	0.947213i	−0.998831	+	0.0483296i	$0.984610\pi$
$632$	1.59785	−	2.48631i	0.0635592	−	0.0989000i
$633$	−5.19130	+	8.07782i	−0.206336	+	0.321064i
$634$	1.05940	−	1.22262i	0.0420743	−	0.0485564i
$635$	12.1888	+	3.57895i	0.483697	+	0.142026i
$636$	−0.0884063	−	0.614879i	−0.00350554	−	0.0243815i
$637$	−4.64364	−	9.57803i	−0.183988	−	0.379495i
$638$	−0.233379	+	0.106581i	−0.00923956	+	0.00421957i
$639$	−1.58105	+	0.464238i	−0.0625453	+	0.0183650i
$640$	−7.71914	+	16.9026i	−0.305126	+	0.668133i
$641$	28.0494	+	4.03289i	1.10788	+	0.159290i	0.671883	−	0.740657i	$-0.265486\pi$
$641$	28.0494	+	4.03289i	1.10788	+	0.159290i	0.436000	+	0.899947i	$0.356395\pi$
$642$	−0.231479	+	0.148762i	−0.00913573	+	0.00587118i
$643$	19.9096			0.785158			0.392579	−	0.919718i	$-0.371583\pi$
$643$	19.9096			0.785158			0.392579	+	0.919718i	$0.371583\pi$
$644$	23.8176	+	7.85269i	0.938543	+	0.309439i
$645$	−27.7662			−1.09329
$646$	−5.79126	+	3.72182i	−0.227854	+	0.146433i
$647$	15.6964	+	2.25680i	0.617089	+	0.0887240i	0.443768	−	0.896142i	$-0.353641\pi$
$647$	15.6964	+	2.25680i	0.617089	+	0.0887240i	0.173320	+	0.984866i	$0.444550\pi$
$648$	0.253352	−	0.554763i	0.00995259	−	0.0217931i
$649$	−0.335260	+	0.0984412i	−0.0131601	+	0.00386416i
$650$	2.16595	−	0.989157i	0.0849556	−	0.0387979i
$651$	−11.8730	−	2.43995i	−0.465338	−	0.0956292i
$652$	0.0341267	+	0.237356i	0.00133650	+	0.00929560i
$653$	−2.02618	−	0.594939i	−0.0792904	−	0.0232818i	0.241847	−	0.970314i	$-0.422247\pi$
$653$	−2.02618	−	0.594939i	−0.0792904	−	0.0232818i	−0.321137	+	0.947033i	$0.604065\pi$
$654$	−0.946577	+	1.09241i	−0.0370141	+	0.0427165i
$655$	−17.3940	+	27.0655i	−0.679638	+	1.05754i
$656$	16.3758	−	25.4812i	0.639366	−	0.994873i
$657$	−6.75370	−	5.85211i	−0.263487	−	0.228313i
$658$	−1.21593	−	3.14879i	−0.0474018	−	0.122753i
$659$	−1.85554	+	0.266787i	−0.0722817	+	0.0103925i	−0.178361	−	0.983965i	$-0.557079\pi$
$659$	−1.85554	+	0.266787i	−0.0722817	+	0.0103925i	0.106079	+	0.994358i	$0.466170\pi$
$660$	1.59499	+	1.84072i	0.0620849	+	0.0716498i
$661$	1.37331	+	3.00712i	0.0534154	+	0.116963i	0.934458	−	0.356074i	$-0.115885\pi$
$661$	1.37331	+	3.00712i	0.0534154	+	0.116963i	−0.881042	+	0.473037i	$0.843158\pi$
$662$	5.07423	−	1.48993i	0.197215	−	0.0579077i
$663$	−3.69041	+	8.08087i	−0.143324	+	0.313835i
$664$	0.537586	−	3.73899i	0.0208624	−	0.145101i
$665$	−26.8470	+	74.5920i	−1.04108	+	2.89255i
$666$			0.430007i			0.0166624i
$667$	18.7325	−	17.1389i	0.725326	−	0.663623i
$668$		−	2.88068i		−	0.111457i
$669$	14.4831	−	9.30772i	0.559949	−	0.359857i
$670$	8.66500	+	1.24584i	0.334758	+	0.0481309i
$671$	−1.19386	−	0.545219i	−0.0460886	−	0.0210479i
$672$	3.87001	+	2.82810i	0.149289	+	0.109096i
$673$	4.91787	+	10.7686i	0.189570	+	0.415100i	0.980422	−	0.196907i	$-0.0630897\pi$
$673$	4.91787	+	10.7686i	0.189570	+	0.415100i	−0.790852	+	0.612007i	$0.790362\pi$
$674$	−3.85701	+	3.34212i	−0.148567	+	0.128734i
$675$	10.1059	−	1.45301i	0.388977	−	0.0559265i
$676$	20.2684	+	5.95133i	0.779552	+	0.228897i
$677$	14.4340	−	16.6578i	0.554746	−	0.640211i	−0.407237	−	0.913323i	$-0.633508\pi$
$677$	14.4340	−	16.6578i	0.554746	−	0.640211i	0.961982	+	0.273112i	$0.0880530\pi$
$678$	2.23227	+	1.43459i	0.0857297	+	0.0550951i
$679$	−50.0075	+	4.15596i	−1.91911	+	0.159491i
$680$	−9.09965	+	10.5016i	−0.348956	+	0.402716i
$681$	−3.38501	+	11.5283i	−0.129714	+	0.441765i
$682$	−0.0315966	−	0.219759i	−0.00120990	−	0.00841501i
$683$	−7.06958	−	8.15873i	−0.270510	−	0.312185i	0.604199	−	0.796833i	$-0.293493\pi$
$683$	−7.06958	−	8.15873i	−0.270510	−	0.312185i	−0.874709	+	0.484648i	$0.838948\pi$
$684$	−6.30820	−	13.8130i	−0.241200	−	0.528155i
$685$	−24.0696	−	81.9734i	−0.919651	−	3.13204i
$686$	−2.83854	−	0.104649i	−0.108376	−	0.00399553i
$687$	13.2543	+	1.90568i	0.505682	+	0.0727062i
$688$	14.8554	+	23.1154i	0.566356	+	0.881268i
$689$	0.477927			0.0182076
$690$	2.45421	+	1.48516i	0.0934303	+	0.0565389i
$691$		−	44.6466i		−	1.69844i	−0.528040	−	0.849219i	$-0.677073\pi$
$691$		−	44.6466i		−	1.69844i	0.528040	−	0.849219i	$-0.322927\pi$
$692$	14.0092	+	21.7988i	0.532551	+	0.828665i
$693$	0.729072	−	0.409073i	0.0276952	−	0.0155394i
$694$	−0.445643	+	0.975823i	−0.0169164	+	0.0370417i
$695$	3.62517	+	12.3462i	0.137511	+	0.468318i
$696$	2.93701	−	1.34129i	0.111327	−	0.0508414i
$697$	34.6514	−	30.0256i	1.31251	−	1.13730i
$698$	−2.90533	+	0.417724i	−0.109968	+	0.0158111i
$699$	5.04081	−	17.1674i	0.190661	−	0.649331i
$700$	−3.19527	+	53.2943i	−0.120770	+	2.01434i
$701$	14.0858	−	21.9179i	0.532012	−	0.827827i	−0.466376	−	0.884587i	$-0.654441\pi$
$701$	14.0858	−	21.9179i	0.532012	−	0.827827i	0.998388	+	0.0567598i	$0.0180769\pi$
$702$	0.196196	+	0.126088i	0.00740495	+	0.00475887i
$703$	16.2795	+	14.1063i	0.613994	+	0.532029i
$704$	0.662402	−	2.25593i	0.0249652	−	0.0850237i
$705$	4.61686	+	32.1110i	0.173881	+	1.20937i
$706$	2.12943	−	1.84516i	0.0801423	−	0.0694437i
$707$	14.5882	−	27.4636i	0.548647	−	1.03288i
$708$	2.09710	−	0.615764i	0.0788138	−	0.0231418i
$709$	27.0919	+	12.3724i	1.01746	+	0.464657i	0.853102	−	0.521744i	$-0.174718\pi$
$709$	27.0919	+	12.3724i	1.01746	+	0.464657i	0.164355	+	0.986401i	$0.447446\pi$
$710$	0.140268	−	0.975587i	0.00526417	−	0.0366131i
$711$	2.61996	+	4.07674i	0.0982563	+	0.152890i
$712$	4.63724			0.173788
$713$	9.66352	+	19.7321i	0.361902	+	0.738972i
$714$	1.44243	+	1.88130i	0.0539815	+	0.0704059i
$715$	−1.57639	+	1.01309i	−0.0589538	+	0.0378873i
$716$	−6.18089	+	42.9890i	−0.230991	+	1.60657i
$717$	21.7896	+	9.95097i	0.813747	+	0.371626i
$718$	0.877990	+	2.99016i	0.0327663	+	0.111592i
$719$	4.61158	−	2.10604i	0.171983	−	0.0785420i	−0.327563	−	0.944829i	$-0.606227\pi$
$719$	4.61158	−	2.10604i	0.171983	−	0.0785420i	0.499546	+	0.866287i	$0.333500\pi$
$720$	−9.85674	−	11.3753i	−0.367339	−	0.423932i
$721$	11.6804	+	11.4144i	0.435000	+	0.425094i
$722$	5.89056	+	1.72962i	0.219224	+	0.0643699i
$723$	1.47758	+	1.28033i	0.0549516	+	0.0476158i
$724$	23.8901	+	15.3532i	0.887868	+	0.570598i
$725$	45.4720	+	29.2231i	1.68879	+	1.08532i
$726$	−1.26344	−	1.09478i	−0.0468906	−	0.0406309i
$727$	34.5922	+	10.1572i	1.28295	+	0.376709i	0.850990	−	0.525182i	$-0.176003\pi$
$727$	34.5922	+	10.1572i	1.28295	+	0.376709i	0.431964	+	0.901891i	$0.357821\pi$
$728$	−1.71489	+	1.75485i	−0.0635581	+	0.0650392i
$729$	0.654861	+	0.755750i	0.0242541	+	0.0279907i
$730$	4.86222	−	2.22050i	0.179959	−	0.0821845i
$731$	11.7182	+	39.9086i	0.433414	+	1.47607i
$732$	7.46779	+	3.41042i	0.276017	+	0.126053i
$733$	−4.83254	+	33.6111i	−0.178494	+	1.24145i	0.681756	+	0.731580i	$0.261217\pi$
$733$	−4.83254	+	33.6111i	−0.178494	+	1.24145i	−0.860250	+	0.509873i	$0.829692\pi$
$734$	0.658544	−	0.423221i	0.0243073	−	0.0156214i
$735$	26.3642	+	7.08595i	0.972459	+	0.261369i
$736$	−0.234597	−	8.68532i	−0.00864736	−	0.320145i
$737$	−4.62445			−0.170344
$738$	−0.650763	−	1.01261i	−0.0239549	−	0.0372746i
$739$	−0.126099	+	0.877040i	−0.00463864	+	0.0322624i	−0.992009	−	0.126165i	$-0.959733\pi$
$739$	−0.126099	+	0.877040i	−0.00463864	+	0.0322624i	0.987371	+	0.158427i	$0.0506423\pi$
$740$	19.6586	+	8.97777i	0.722664	+	0.330029i
$741$	11.2097	−	3.29147i	0.411799	−	0.120915i
$742$	0.0598284	−	0.112632i	0.00219637	−	0.00413486i
$743$	−17.4389	+	15.1109i	−0.639771	+	0.554364i	−0.913192	−	0.407530i	$-0.866390\pi$
$743$	−17.4389	+	15.1109i	−0.639771	+	0.554364i	0.273421	+	0.961894i	$0.411845\pi$
$744$	0.397634	+	2.76561i	0.0145780	+	0.101392i
$745$	−9.05879	+	30.8514i	−0.331888	+	1.13031i
$746$	−1.12094	−	0.971301i	−0.0410406	−	0.0355618i
$747$	5.21054	+	3.34861i	0.190644	+	0.122519i
$748$	1.97254	−	3.06934i	0.0721234	−	0.112226i
$749$	4.73817	+	0.284078i	0.173129	+	0.0103800i
$750$	−0.877945	+	2.99001i	−0.0320580	+	0.109180i
$751$	33.5767	−	4.82761i	1.22523	−	0.176162i	0.500834	−	0.865543i	$-0.333027\pi$
$751$	33.5767	−	4.82761i	1.22523	−	0.176162i	0.724399	+	0.689381i	$0.242118\pi$
$752$	24.2624	−	21.0235i	0.884759	−	0.766648i
$753$	−3.63802	+	1.66143i	−0.132577	+	0.0605458i
$754$	0.347856	+	1.18469i	0.0126682	+	0.0431438i
$755$	−14.9496	+	32.7350i	−0.544071	+	1.19135i
$756$	−4.56045	+	2.55881i	−0.165862	+	0.0930630i
$757$	−10.2213	−	15.9046i	−0.371498	−	0.578062i	0.604294	−	0.796761i	$-0.293455\pi$
$757$	−10.2213	−	15.9046i	−0.371498	−	0.578062i	−0.975792	+	0.218699i	$0.929819\pi$
$758$		−	2.88577i		−	0.104816i
$759$	−1.39492	−	0.592059i	−0.0506325	−	0.0214904i
$760$	18.2741			0.662871
$761$	−9.45502	−	14.7123i	−0.342744	−	0.533320i	0.626500	−	0.779421i	$-0.284487\pi$
$761$	−9.45502	−	14.7123i	−0.342744	−	0.533320i	−0.969244	+	0.246101i	$0.920850\pi$
$762$	−0.494488	−	0.0710967i	−0.0179134	−	0.00257556i
$763$	24.3027	−	5.58060i	0.879817	−	0.202031i
$764$	7.30556	+	24.8804i	0.264306	+	0.900143i
$765$	−9.46490	−	20.7252i	−0.342204	−	0.749323i
$766$	0.989138	+	1.14153i	0.0357390	+	0.0412450i
$767$	0.239307	+	1.66442i	0.00864089	+	0.0600987i
$768$	−3.98686	+	13.5780i	−0.143863	+	0.489953i
$769$	8.44912	−	9.75080i	0.304683	−	0.351623i	−0.582674	−	0.812706i	$-0.697994\pi$
$769$	8.44912	−	9.75080i	0.304683	−	0.351623i	0.887357	+	0.461083i	$0.152539\pi$
$770$	0.0414144	+	0.498327i	0.00149247	+	0.0179585i
$771$	21.7487	+	13.9770i	0.783261	+	0.503371i
$772$	3.55776	−	4.10588i	0.128047	−	0.147774i
$773$	−11.9779	−	3.51702i	−0.430815	−	0.126499i	0.0591337	−	0.998250i	$-0.481166\pi$
$773$	−11.9779	−	3.51702i	−0.430815	−	0.126499i	−0.489948	+	0.871752i	$0.662984\pi$
$774$	1.08082	−	0.155398i	0.0388493	−	0.00558568i
$775$	−35.3500	+	30.6309i	−1.26981	+	1.10030i
$776$	4.80512	+	10.5218i	0.172494	+	0.377709i
$777$	4.37670	−	5.98914i	0.157013	−	0.214859i
$778$	3.39898	+	1.55226i	0.121859	+	0.0556512i
$779$	−59.6842	−	8.58129i	−2.13841	−	0.307457i
$780$	9.86057	−	6.33700i	0.353065	−	0.226901i
$781$			0.520665i			0.0186308i
$782$	1.09887	−	4.15425i	0.0392956	−	0.148556i
$783$			5.29418i			0.189198i
$784$	−8.20624	−	25.7394i	−0.293080	−	0.919265i
$785$	−3.10959	+	21.6277i	−0.110986	+	0.771924i
$786$	0.525597	−	1.15090i	0.0187474	−	0.0410511i
$787$	7.45849	−	2.19001i	0.265867	−	0.0780655i	−0.146082	−	0.989272i	$-0.546666\pi$
$787$	7.45849	−	2.19001i	0.265867	−	0.0780655i	0.411949	+	0.911207i	$0.364848\pi$
$788$	0.525870	+	1.15150i	0.0187334	+	0.0410203i
$789$	1.33006	+	1.53497i	0.0473514	+	0.0546464i
$790$	−2.86912	+	0.412517i	−0.102079	+	0.0146767i
$791$	−16.4894	−	42.7015i	−0.586297	−	1.51829i
$792$	−0.145638	−	0.126196i	−0.00517501	−	0.00448417i
$793$	−3.41479	+	5.31351i	−0.121263	+	0.188688i
$794$	1.64280	−	2.55624i	0.0583007	−	0.0907176i
$795$	−0.802698	+	0.926363i	−0.0284688	+	0.0328547i
$796$	−40.4893	−	11.8887i	−1.43511	−	0.421385i
$797$	0.634187	+	4.41087i	0.0224641	+	0.156241i	0.997966	−	0.0637504i	$-0.0203062\pi$
$797$	0.634187	+	4.41087i	0.0224641	+	0.156241i	−0.975502	+	0.219991i	$0.929397\pi$
$798$	0.627572	−	3.05381i	0.0222158	−	0.108104i
$799$	44.2050	−	20.1878i	1.56386	−	0.714191i
$800$	17.7477	−	5.21118i	0.627475	−	0.184243i
$801$	−3.15864	+	6.91645i	−0.111605	+	0.244381i
$802$	0.0522559	+	0.00751327i	0.00184522	+	0.000265303i
$803$	−2.37545	+	1.52661i	−0.0838276	+	0.0538728i
$804$	28.9266			1.02016
$805$	−19.0660	−	45.6648i	−0.671990	−	1.60947i
$806$	−1.06845			−0.0376347
$807$	−0.852900	+	0.548126i	−0.0300235	+	0.0192949i
$808$	−7.09541	−	1.02017i	−0.249616	−	0.0358893i
$809$	−10.0538	+	22.0147i	−0.353471	+	0.773994i	0.646468	+	0.762941i	$0.276246\pi$
$809$	−10.0538	+	22.0147i	−0.353471	+	0.773994i	−0.999939	+	0.0110527i	$0.996482\pi$
$810$	−0.573915	+	0.168517i	−0.0201653	+	0.00592107i
$811$	−34.8326	+	15.9075i	−1.22314	+	0.558588i	−0.919082	−	0.394066i	$-0.871068\pi$
$811$	−34.8326	+	15.9075i	−1.22314	+	0.558588i	−0.304055	+	0.952654i	$0.598341\pi$
$812$	−27.1180	−	5.57287i	−0.951654	−	0.195570i
$813$	0.416815	+	2.89901i	0.0146183	+	0.101673i
$814$	0.130368	+	0.0382796i	0.00456940	+	0.00134170i
$815$	0.309859	−	0.357596i	0.0108539	−	0.0125260i
$816$	−12.1900	+	18.9679i	−0.426734	+	0.664011i
$817$	29.5729	−	46.0163i	1.03462	−	1.60991i
$818$	−1.92756	−	1.67024i	−0.0673955	−	0.0583985i
$819$	−1.44928	−	3.75308i	−0.0506418	−	0.131143i
$820$	−59.8800	+	8.60945i	−2.09110	+	0.300655i
$821$	14.8786	+	17.1708i	0.519267	+	0.599266i	0.953447	−	0.301560i	$-0.0975073\pi$
$821$	14.8786	+	17.1708i	0.519267	+	0.599266i	−0.434180	+	0.900826i	$0.642962\pi$
$822$	1.39571	+	3.05617i	0.0486808	+	0.106596i
$823$	−6.13011	+	1.79996i	−0.213682	+	0.0627427i	−0.386822	−	0.922155i	$-0.626427\pi$
$823$	−6.13011	+	1.79996i	−0.213682	+	0.0627427i	0.173139	+	0.984897i	$0.444609\pi$
$824$	1.56388	−	3.42441i	0.0544802	−	0.119295i
$825$	0.459118	−	3.19323i	0.0159844	−	0.111174i
$826$	0.422208	+	0.151960i	0.0146905	+	0.00528737i
$827$		−	35.2519i		−	1.22583i	−0.790150	−	0.612914i	$-0.789997\pi$
$827$		−	35.2519i		−	1.22583i	0.790150	−	0.612914i	$-0.210003\pi$
$828$	8.72544	+	3.70341i	0.303230	+	0.128702i
$829$			42.9728i			1.49251i	0.665662	+	0.746253i	$0.268149\pi$
$829$			42.9728i			1.49251i	−0.665662	+	0.746253i	$0.731851\pi$
$830$	−3.11665	+	2.00295i	−0.108181	+	0.0695235i
$831$	−16.0077	−	2.30156i	−0.555300	−	0.0798401i
$832$	−10.2924	−	4.70038i	−0.356825	−	0.162956i
$833$	−0.941842	−	40.8841i	−0.0326329	−	1.41655i
$834$	−0.210210	−	0.460297i	−0.00727899	−	0.0159388i
$835$	−4.29579	+	3.72232i	−0.148662	+	0.128816i
$836$	−4.74936	+	0.682855i	−0.164260	+	0.0236170i
$837$	−4.39576	−	1.29071i	−0.151940	−	0.0446135i
$838$	−1.97929	+	2.28422i	−0.0683733	+	0.0789070i
$839$	19.5002	+	12.5320i	0.673221	+	0.432653i	0.832085	−	0.554648i	$-0.187147\pi$
$839$	19.5002	+	12.5320i	0.673221	+	0.432653i	−0.158865	+	0.987300i	$0.550783\pi$
$840$	−0.521189	−	6.27131i	−0.0179827	−	0.216381i
$841$	0.636328	−	0.734362i	0.0219423	−	0.0253228i
$842$	0.584818	−	1.99171i	0.0201542	−	0.0686388i
$843$	2.83606	+	19.7253i	0.0976792	+	0.679374i
$844$	−12.4282	−	14.3429i	−0.427796	−	0.493703i
$845$	−17.3153	−	37.9152i	−0.595664	−	1.30432i
$846$	−0.359430	−	1.22411i	−0.0123575	−	0.0420856i
$847$	6.45431	+	28.1076i	0.221773	+	0.965788i
$848$	1.20066	+	0.172629i	0.0412308	+	0.00592809i
$849$	−7.33094	−	11.4072i	−0.251597	−	0.391493i
$850$	9.14816			0.313779
$851$	−13.4412	+	0.363057i	−0.460758	+	0.0124454i
$852$		−	3.25683i		−	0.111577i
$853$	−14.4110	−	22.4239i	−0.493423	−	0.767781i	0.501844	−	0.864958i	$-0.332655\pi$
$853$	−14.4110	−	22.4239i	−0.493423	−	0.767781i	−0.995267	+	0.0971770i	$0.969019\pi$
$854$	0.824752	+	1.46992i	0.0282224	+	0.0502996i
$855$	−12.4473	+	27.2559i	−0.425690	+	0.932130i
$856$	−0.308262	−	1.04984i	−0.0105362	−	0.0358829i
$857$	−1.43978	+	0.657526i	−0.0491820	+	0.0224607i	−0.439854	−	0.898069i	$-0.644970\pi$
$857$	−1.43978	+	0.657526i	−0.0491820	+	0.0224607i	0.390672	+	0.920530i	$0.372243\pi$
$858$	0.0556924	−	0.0482578i	0.00190131	−	0.00164749i
$859$	−34.9565	+	5.02598i	−1.19270	+	0.171484i	−0.709935	−	0.704267i	$-0.751276\pi$
$859$	−34.9565	+	5.02598i	−1.19270	+	0.171484i	−0.482763	+	0.875751i	$0.660367\pi$
$860$	15.4613	−	52.6562i	0.527224	−	1.79556i
$861$	−1.24270	+	20.7272i	−0.0423512	+	0.706381i
$862$	2.83049	−	4.40432i	0.0964068	−	0.150012i
$863$	−12.2590	−	7.87835i	−0.417300	−	0.268182i	0.315098	−	0.949059i	$-0.397963\pi$
$863$	−12.2590	−	7.87835i	−0.417300	−	0.268182i	−0.732398	+	0.680877i	$0.761599\pi$
$864$	1.36917	+	1.18639i	0.0465802	+	0.0403620i
$865$	14.4050	−	49.0589i	0.489784	−	1.66805i
$866$	0.586225	+	4.07729i	0.0199207	+	0.138552i
$867$	−12.9464	+	11.2181i	−0.439683	+	0.380987i
$868$	11.2385	−	21.1574i	0.381459	−	0.718129i
$869$	1.46921	−	0.431398i	0.0498394	−	0.0146342i
$870$	−2.88051	−	1.31549i	−0.0976585	−	0.0445991i
$871$	−3.16721	+	22.0284i	−0.107317	+	0.746405i
$872$	−3.10752	−	4.83540i	−0.105234	−	0.163747i
$873$	−18.9662			−0.641909
$874$	−5.07523	+	2.48552i	−0.171672	+	0.0840741i
$875$	42.6610	−	32.7089i	1.44220	−	1.10576i
$876$	14.8588	−	9.54914i	0.502031	−	0.322636i
$877$	1.89453	−	13.1768i	0.0639739	−	0.444948i	−0.932509	−	0.361148i	$-0.882385\pi$
$877$	1.89453	−	13.1768i	0.0639739	−	0.444948i	0.996483	−	0.0838005i	$-0.0267058\pi$
$878$	2.64863	+	1.20959i	0.0893870	+	0.0408217i
$879$	5.92294	+	20.1717i	0.199776	+	0.680374i
$880$	−4.32618	+	1.97570i	−0.145835	+	0.0666008i
$881$	25.2382	+	29.1265i	0.850297	+	0.981295i	0.999972	−	0.00743991i	$-0.00236822\pi$
$881$	25.2382	+	29.1265i	0.850297	+	0.981295i	−0.149675	+	0.988735i	$0.547823\pi$
$882$	−1.06591	−	0.128274i	−0.0358909	−	0.00431921i
$883$	32.1422	+	9.43781i	1.08167	+	0.317608i	0.773547	−	0.633739i	$-0.218480\pi$
$883$	32.1422	+	9.43781i	1.08167	+	0.317608i	0.308124	+	0.951346i	$0.400299\pi$
$884$	−13.2697	−	11.4983i	−0.446309	−	0.386729i
$885$	−3.62806	−	2.33161i	−0.121956	−	0.0783763i
$886$	0.509923	+	0.327707i	0.0171312	+	0.0110095i
$887$	44.3436	+	38.4239i	1.48891	+	1.29015i	0.857245	+	0.514909i	$0.172174\pi$
$887$	44.3436	+	38.4239i	1.48891	+	1.29015i	0.631667	+	0.775240i	$0.282371\pi$
$888$	−1.64065	−	0.481738i	−0.0550566	−	0.0161661i
$889$	6.16360	+	6.02325i	0.206721	+	0.202013i
$890$	−2.97832	−	3.43717i	−0.0998337	−	0.115214i
$891$	0.287422	−	0.131261i	0.00962901	−	0.00439742i
$892$	9.58657	+	32.6489i	0.320982	+	1.09316i
$893$	−58.1342	−	26.5490i	−1.94539	−	0.888428i
$894$	0.179955	−	1.25161i	0.00601860	−	0.0418603i
$895$	72.0938	−	46.3319i	2.40983	−	1.54870i
$896$	−10.0039	+	7.67014i	−0.334206	+	0.256242i
$897$	−3.77561	+	6.23918i	−0.126064	+	0.208320i
$898$	1.17498			0.0392095
$899$	−13.1129	−	20.4041i	−0.437340	−	0.680515i
$900$	−2.87185	+	19.9741i	−0.0957282	+	0.665804i
$901$	1.67024	+	0.762772i	0.0556437	+	0.0254116i
$902$	−0.364931	+	0.107153i	−0.0121509	+	0.00356781i
$903$	−16.6353	−	8.83643i	−0.553590	−	0.294058i
$904$	−7.97435	+	6.90982i	−0.265223	+	0.229817i
$905$	−7.97464	−	55.4649i	−0.265086	−	1.84371i
$906$	0.398717	−	1.35790i	0.0132465	−	0.0451134i
$907$	−17.7731	−	15.4004i	−0.590145	−	0.511363i	0.307812	−	0.951447i	$-0.400403\pi$
$907$	−17.7731	−	15.4004i	−0.590145	−	0.511363i	−0.897957	+	0.440084i	$0.854949\pi$
$908$	−19.9775	−	12.8388i	−0.662977	−	0.426069i
$909$	6.35460	−	9.88795i	0.210769	−	0.327962i
$910$	2.40213	+	0.144020i	0.0796298	+	0.00477421i
$911$	8.68013	−	29.5618i	0.287586	−	0.979427i	−0.681318	−	0.731988i	$-0.738593\pi$
$911$	8.68013	−	29.5618i	0.287586	−	0.979427i	0.968903	−	0.247439i	$-0.0795890\pi$
$912$	29.3501	−	4.21991i	0.971880	−	0.139735i
$913$	1.47907	−	1.28162i	0.0489501	−	0.0424155i
$914$	−3.50055	+	1.59865i	−0.115788	+	0.0528785i
$915$	−4.56387	−	15.5431i	−0.150877	−	0.513840i
$916$	−10.9944	+	24.0745i	−0.363267	+	0.795443i
$917$	−19.0346	+	10.6801i	−0.628577	+	0.352686i
$918$	0.484422	+	0.753775i	0.0159883	+	0.0248783i
$919$			49.6678i			1.63839i	0.573515	+	0.819195i	$0.305579\pi$
$919$			49.6678i			1.63839i	−0.573515	+	0.819195i	$0.694421\pi$
$920$	−8.41593	+	7.69998i	−0.277465	+	0.253861i
$921$	7.21135			0.237622
$922$	1.69934	+	2.64422i	0.0559648	+	0.0870829i
$923$	2.48017	+	0.356594i	0.0816357	+	0.0117374i
$924$	0.369797	+	1.61041i	0.0121654	+	0.0529787i
$925$	−8.06470	−	27.4659i	−0.265166	−	0.903072i
$926$	−0.944914	−	2.06907i	−0.0310518	−	0.0679939i
$927$	4.04229	+	4.66505i	0.132766	+	0.153220i
$928$	1.36499	+	9.49370i	0.0448079	+	0.311646i
$929$	2.51269	−	8.55744i	0.0824388	−	0.280761i	−0.907949	−	0.419081i	$-0.862352\pi$
$929$	2.51269	−	8.55744i	0.0824388	−	0.280761i	0.990388	+	0.138321i	$0.0441704\pi$
$930$	1.79451	−	2.07098i	0.0588444	−	0.0679101i
$931$	−39.8231	+	36.1459i	−1.30515	+	1.18463i
$932$	29.7496	+	19.1189i	0.974482	+	0.626262i
$933$	−2.48792	+	2.87121i	−0.0814508	+	0.0939992i
$934$	1.51325	+	0.444332i	0.0495152	+	0.0145390i
$935$	−7.12599	+	1.02456i	−0.233045	+	0.0335068i
$936$	−0.700874	+	0.607311i	−0.0229088	+	0.0198506i
$937$	−17.4950	−	38.3088i	−0.571538	−	1.25149i	−0.945974	−	0.324242i	$-0.894891\pi$
$937$	−17.4950	−	38.3088i	−0.571538	−	1.25149i	0.374436	−	0.927253i	$-0.377836\pi$
$938$	4.79492	+	3.50400i	0.156560	+	0.114410i
$939$	−10.1835	−	4.65064i	−0.332326	−	0.151768i
$940$	−63.4666	−	9.12512i	−2.07005	−	0.297629i
$941$	−15.0477	+	9.67055i	−0.490540	+	0.315251i	−0.762422	−	0.647080i	$-0.775990\pi$
$941$	−15.0477	+	9.67055i	−0.490540	+	0.315251i	0.271883	+	0.962330i	$0.412354\pi$
$942$		−	0.859277i		−	0.0279968i
$943$	31.1027	−	21.1966i	1.01284	−	0.690255i
$944$			4.26783i			0.138906i
$945$	9.70869	+	3.49433i	0.315824	+	0.113671i
$946$	0.0491022	−	0.341513i	0.00159645	−	0.0111036i
$947$	9.35401	−	20.4824i	0.303965	−	0.665590i	−0.694586	−	0.719410i	$-0.744412\pi$
$947$	9.35401	−	20.4824i	0.303965	−	0.665590i	0.998551	+	0.0538201i	$0.0171397\pi$
$948$	−9.19009	+	2.69845i	−0.298480	+	0.0876417i
$949$	5.64503	+	12.3609i	0.183246	+	0.401252i
$950$	−7.87849	−	9.09226i	−0.255612	−	0.294992i
$951$	−10.4406	+	1.50114i	−0.338561	+	0.0486777i
$952$	−8.79387	+	3.39581i	−0.285011	+	0.110059i
$953$	23.2955	+	20.1857i	0.754615	+	0.653878i	0.944717	−	0.327887i	$-0.106336\pi$
$953$	23.2955	+	20.1857i	0.754615	+	0.653878i	−0.190102	+	0.981764i	$0.560882\pi$
$954$	0.0260611	−	0.0405519i	0.000843760	−	0.00131292i
$955$	27.6628	−	43.0441i	0.895146	−	1.39287i
$956$	−31.0045	+	35.7811i	−1.00276	+	1.15724i
$957$	1.60507	+	0.471292i	0.0518846	+	0.0152347i
$958$	0.523522	+	3.64118i	0.0169142	+	0.117641i
$959$	11.6670	−	56.7722i	0.376746	−	1.83327i
$960$	26.3972	−	12.0552i	0.851966	−	0.389080i
$961$	−9.60583	+	2.82053i	−0.309866	+	0.0909848i
$962$	0.271630	−	0.594787i	0.00875771	−	0.0191767i
$963$	1.77582	+	0.255324i	0.0572248	+	0.00822769i
$964$	−3.25080	+	2.08916i	−0.104701	+	0.0672874i
$965$	−10.7201			−0.345092
$966$	0.997733	+	1.67083i	0.0321015	+	0.0537581i
$967$	−12.6289			−0.406118			−0.203059	−	0.979167i	$-0.565088\pi$
$967$	−12.6289			−0.406118			−0.203059	+	0.979167i	$0.565088\pi$
$968$	5.59244	−	3.59404i	0.179748	−	0.115517i
$969$	44.4283	+	6.38783i	1.42724	+	0.205207i
$970$	4.71269	−	10.3193i	0.151315	−	0.331334i
$971$	−0.413081	+	0.121292i	−0.0132564	+	0.00389243i	−0.288354	−	0.957524i	$-0.593108\pi$
$971$	−0.413081	+	0.121292i	−0.0132564	+	0.00389243i	0.275098	+	0.961416i	$0.411290\pi$
$972$	−1.79787	+	0.821058i	−0.0576666	+	0.0263355i
$973$	−1.75719	+	8.55058i	−0.0563328	+	0.274119i
$974$	−0.886392	−	6.16499i	−0.0284018	−	0.197539i
$975$	−14.8964	−	4.37398i	−0.477067	−	0.140080i
$976$	−10.4980	+	12.1153i	−0.336032	+	0.387801i
$977$	−16.1748	+	25.1685i	−0.517479	+	0.805213i	−0.997397	−	0.0721000i	$-0.977030\pi$
$977$	−16.1748	+	25.1685i	−0.517479	+	0.805213i	0.479918	+	0.877313i	$0.340666\pi$
$978$	−0.0100601	+	0.0156539i	−0.000321688	+	0.000500556i
$979$	1.81572	+	1.57333i	0.0580308	+	0.0502840i
$980$	−28.1185	+	46.0518i	−0.898213	+	1.47107i
$981$	9.32869	−	1.34126i	0.297842	−	0.0428232i
$982$	−3.96008	−	4.57018i	−0.126371	−	0.145840i
$983$	−19.1327	−	41.8948i	−0.610239	−	1.33624i	−0.922410	−	0.386211i	$-0.873784\pi$
$983$	−19.1327	−	41.8948i	−0.610239	−	1.33624i	0.312171	−	0.950026i	$-0.398944\pi$
$984$	4.59255	−	1.34850i	0.146405	−	0.0429885i
$985$	1.03765	−	2.27213i	0.0330621	−	0.0723960i
$986$	−0.675093	+	4.69537i	−0.0214993	+	0.149531i
$987$	−7.45308	+	20.7077i	−0.237234	+	0.659134i
$988$			23.0911i			0.734625i
$989$	5.77000	+	33.6532i	0.183475	+	1.07011i
$990$			0.188999i			0.00600679i
$991$	31.2590	−	20.0889i	0.992974	−	0.638145i	0.0600407	−	0.998196i	$-0.480877\pi$
$991$	31.2590	−	20.0889i	0.992974	−	0.638145i	0.932933	+	0.360051i	$0.117241\pi$
$992$	−8.21541	−	1.18120i	−0.260839	−	0.0375031i
$993$	−31.3654	−	14.3241i	−0.995351	−	0.454562i
$994$	0.394513	−	0.539857i	0.0125132	−	0.0171232i
$995$	34.5901	+	75.7417i	1.09658	+	2.40117i
$996$	−9.25179	+	8.01672i	−0.293154	+	0.254020i
$997$	−31.9785	+	4.59781i	−1.01277	+	0.145614i	−0.628666	−	0.777676i	$-0.716399\pi$
$997$	−31.9785	+	4.59781i	−1.01277	+	0.145614i	−0.384104	+	0.923290i	$0.625489\pi$
$998$	−4.32696	−	1.27051i	−0.136968	−	0.0402173i
$999$	1.83604	−	2.11890i	0.0580896	−	0.0670390i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	483.2.r.a.34.16	yes	320
7.6	odd	2	inner	483.2.r.a.34.15	✓	320
23.21	odd	22	inner	483.2.r.a.412.15	yes	320
161.90	even	22	inner	483.2.r.a.412.16	yes	320

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
483.2.r.a.34.15	✓	320	7.6	odd	2	inner
483.2.r.a.34.16	yes	320	1.1	even	1	trivial
483.2.r.a.412.15	yes	320	23.21	odd	22	inner
483.2.r.a.412.16	yes	320	161.90	even	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)

\(f(q)\)	\(=\)	\(q+(-0.129024 + 0.0829186i) q^{2} +(0.989821 + 0.142315i) q^{3} +(-0.821058 + 1.79787i) q^{4} +(3.74200 - 1.09875i) q^{5} +(-0.139511 + 0.0637126i) q^{6} +(2.59159 + 0.532585i) q^{7} +(-0.0867944 - 0.603668i) q^{8} +(0.959493 + 0.281733i) q^{9} +O(q^{10})\)	\(q+(-0.129024 + 0.0829186i) q^{2} +(0.989821 + 0.142315i) q^{3} +(-0.821058 + 1.79787i) q^{4} +(3.74200 - 1.09875i) q^{5} +(-0.139511 + 0.0637126i) q^{6} +(2.59159 + 0.532585i) q^{7} +(-0.0867944 - 0.603668i) q^{8} +(0.959493 + 0.281733i) q^{9} +(-0.391701 + 0.452047i) q^{10} +(0.170830 - 0.265816i) q^{11} +(-1.06856 + 1.66272i) q^{12} +(-1.14921 - 0.995794i) q^{13} +(-0.378538 + 0.146175i) q^{14} +(3.86028 - 0.555025i) q^{15} +(-2.52738 - 2.91675i) q^{16} +(-2.42691 - 5.31419i) q^{17} +(-0.147158 + 0.0432096i) q^{18} +(-3.19164 + 6.98871i) q^{19} +(-1.09699 + 7.62976i) q^{20} +(2.48942 + 0.895986i) q^{21} +0.0484616i q^{22} +(-1.47490 - 4.56341i) q^{23} -0.609876i q^{24} +(8.58907 - 5.51986i) q^{25} +(0.230845 + 0.0331905i) q^{26} +(0.909632 + 0.415415i) q^{27} +(-3.08537 + 4.22206i) q^{28} +(2.19928 + 4.81575i) q^{29} +(-0.452047 + 0.391701i) q^{30} +(-4.53470 + 0.651992i) q^{31} +(1.73829 + 0.510408i) q^{32} +(0.206920 - 0.238799i) q^{33} +(0.753775 + 0.484422i) q^{34} +(10.2829 - 0.854581i) q^{35} +(-1.29432 + 1.49372i) q^{36} +(0.789895 - 2.69013i) q^{37} +(-0.167697 - 1.16636i) q^{38} +(-0.995794 - 1.14921i) q^{39} +(-0.988067 - 2.16356i) q^{40} +(2.21110 + 7.53031i) q^{41} +(-0.395488 + 0.0908156i) q^{42} +(-7.04710 - 1.01322i) q^{43} +(0.337641 + 0.525380i) q^{44} +3.89998 q^{45} +(0.568688 + 0.466492i) q^{46} +8.31829i q^{47} +(-2.08656 - 3.24675i) q^{48} +(6.43271 + 2.76049i) q^{49} +(-0.650496 + 1.42439i) q^{50} +(-1.64592 - 5.60549i) q^{51} +(2.73387 - 1.24852i) q^{52} +(-0.237530 + 0.205821i) q^{53} +(-0.151810 + 0.0218270i) q^{54} +(0.347179 - 1.18238i) q^{55} +(0.0965690 - 1.61069i) q^{56} +(-4.15375 + 6.46336i) q^{57} +(-0.683075 - 0.438986i) q^{58} +(-0.835725 - 0.724160i) q^{59} +(-2.17166 + 7.39599i) q^{60} +(-0.591132 - 4.11141i) q^{61} +(0.531023 - 0.460134i) q^{62} +(2.33657 + 1.24115i) q^{63} +(7.13956 - 2.09637i) q^{64} +(-5.39447 - 2.46357i) q^{65} +(-0.00689680 + 0.0479683i) q^{66} +(-7.91252 - 12.3121i) q^{67} +11.5468 q^{68} +(-0.810443 - 4.72686i) q^{69} +(-1.25588 + 0.962907i) q^{70} +(-1.38621 + 0.890866i) q^{71} +(0.0867944 - 0.603668i) q^{72} +(-8.12885 - 3.71232i) q^{73} +(0.121147 + 0.412588i) q^{74} +(9.28720 - 4.24132i) q^{75} +(-9.94426 - 11.4763i) q^{76} +(0.584291 - 0.597906i) q^{77} +(0.223772 + 0.0657054i) q^{78} +(3.66239 + 3.17348i) q^{79} +(-12.6623 - 8.13754i) q^{80} +(0.841254 + 0.540641i) q^{81} +(-0.909687 - 0.788248i) q^{82} +(5.94289 + 1.74499i) q^{83} +(-3.65482 + 3.73999i) q^{84} +(-14.9205 - 17.2192i) q^{85} +(0.993258 - 0.453606i) q^{86} +(1.49154 + 5.07972i) q^{87} +(-0.175292 - 0.0800531i) q^{88} +(-1.08210 + 7.52618i) q^{89} +(-0.503190 + 0.323381i) q^{90} +(-2.44793 - 3.19274i) q^{91} +(9.41537 + 1.09516i) q^{92} -4.58134 q^{93} +(-0.689741 - 1.07326i) q^{94} +(-4.26427 + 29.6586i) q^{95} +(1.64796 + 0.752597i) q^{96} +(-18.1980 + 5.34340i) q^{97} +(-1.05887 + 0.177222i) q^{98} +(0.238799 - 0.206920i) 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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