LMFDB - Embedded newform 950.2.h.b.381.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [950,2,Mod(191,950)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(950, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([2, 0]))

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

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

chi := DirichletCharacter("950.191");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 950 = 2 \cdot 5^{2} \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	950.h (of order $5$, degree $4$, 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:	$7.58578819202$
Analytic rank:	$0$
Dimension:	$40$
Relative dimension:	$10$ over $\Q(\zeta_{5})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			381.4
Character	$\chi$	$=$	950.381
Dual form			950.2.h.b.571.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.309017 + 0.951057i) q^{2} +(-0.346529 + 0.251768i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-1.41712 + 1.72968i) q^{5} +(-0.346529 - 0.251768i) q^{6} +1.40627 q^{7} +(-0.809017 - 0.587785i) q^{8} +(-0.870356 + 2.67868i) q^{9} +O(q^{10})$	\(q+(0.309017 + 0.951057i) q^{2} +(-0.346529 + 0.251768i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-1.41712 + 1.72968i) q^{5} +(-0.346529 - 0.251768i) q^{6} +1.40627 q^{7} +(-0.809017 - 0.587785i) q^{8} +(-0.870356 + 2.67868i) q^{9} +(-2.08293 - 0.813259i) q^{10} +(1.45720 + 4.48481i) q^{11} +(0.132362 - 0.407369i) q^{12} +(0.372858 - 1.14754i) q^{13} +(0.434560 + 1.33744i) q^{14} +(0.0555949 - 0.956166i) q^{15} +(0.309017 - 0.951057i) q^{16} +(0.893089 + 0.648867i) q^{17} -2.81653 q^{18} +(-0.809017 - 0.587785i) q^{19} +(0.129794 - 2.23230i) q^{20} +(-0.487311 + 0.354052i) q^{21} +(-3.81500 + 2.77176i) q^{22} +(-1.02267 - 3.14746i) q^{23} +0.428333 q^{24} +(-0.983559 - 4.90231i) q^{25} +1.20659 q^{26} +(-0.769888 - 2.36947i) q^{27} +(-1.13769 + 0.826582i) q^{28} +(-1.30245 + 0.946288i) q^{29} +(0.926548 - 0.242598i) q^{30} +(-3.56838 - 2.59258i) q^{31} +1.00000 q^{32} +(-1.63409 - 1.18724i) q^{33} +(-0.341130 + 1.04989i) q^{34} +(-1.99284 + 2.43238i) q^{35} +(-0.870356 - 2.67868i) q^{36} +(-3.17681 + 9.77721i) q^{37} +(0.309017 - 0.951057i) q^{38} +(0.159707 + 0.491529i) q^{39} +(2.16315 - 0.566377i) q^{40} +(-2.26515 + 6.97141i) q^{41} +(-0.487311 - 0.354052i) q^{42} -12.3552 q^{43} +(-3.81500 - 2.77176i) q^{44} +(-3.39985 - 5.30144i) q^{45} +(2.67739 - 1.94524i) q^{46} +(1.14150 - 0.829346i) q^{47} +(0.132362 + 0.407369i) q^{48} -5.02242 q^{49} +(4.35843 - 2.45032i) q^{50} -0.472845 q^{51} +(0.372858 + 1.14754i) q^{52} +(7.56731 - 5.49797i) q^{53} +(2.01559 - 1.46441i) q^{54} +(-9.82229 - 3.83501i) q^{55} +(-1.13769 - 0.826582i) q^{56} +0.428333 q^{57} +(-1.30245 - 0.946288i) q^{58} +(-0.0599091 + 0.184381i) q^{59} +(0.517043 + 0.806233i) q^{60} +(-0.937445 - 2.88516i) q^{61} +(1.36300 - 4.19488i) q^{62} +(-1.22395 + 3.76694i) q^{63} +(0.309017 + 0.951057i) q^{64} +(1.45649 + 2.27112i) q^{65} +(0.624167 - 1.92099i) q^{66} +(8.09511 + 5.88144i) q^{67} -1.10392 q^{68} +(1.14681 + 0.833209i) q^{69} +(-2.92916 - 1.14366i) q^{70} +(2.61666 - 1.90111i) q^{71} +(2.27862 - 1.65552i) q^{72} +(-1.09051 - 3.35624i) q^{73} -10.2804 q^{74} +(1.57507 + 1.45116i) q^{75} +1.00000 q^{76} +(2.04921 + 6.30683i) q^{77} +(-0.418119 + 0.303781i) q^{78} +(3.28992 - 2.39027i) q^{79} +(1.20711 + 1.88226i) q^{80} +(-5.97252 - 4.33929i) q^{81} -7.33017 q^{82} +(10.0078 + 7.27106i) q^{83} +(0.186136 - 0.572869i) q^{84} +(-2.38794 + 0.625234i) q^{85} +(-3.81798 - 11.7505i) q^{86} +(0.213093 - 0.655832i) q^{87} +(1.45720 - 4.48481i) q^{88} +(-0.725509 - 2.23289i) q^{89} +(3.99135 - 4.87169i) q^{90} +(0.524337 - 1.61374i) q^{91} +(2.67739 + 1.94524i) q^{92} +1.88927 q^{93} +(1.14150 + 0.829346i) q^{94} +(2.16315 - 0.566377i) q^{95} +(-0.346529 + 0.251768i) q^{96} +(-0.448822 + 0.326088i) q^{97} +(-1.55201 - 4.77660i) q^{98} -13.2816 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 40 q - 10 q^{2} + 5 q^{3} - 10 q^{4} + 5 q^{6} - 12 q^{7} - 10 q^{8} - 3 q^{9}+O(q^{10}) $ 40 * q - 10 * q^2 + 5 * q^3 - 10 * q^4 + 5 * q^6 - 12 * q^7 - 10 * q^8 - 3 * q^9	\( 40 q - 10 q^{2} + 5 q^{3} - 10 q^{4} + 5 q^{6} - 12 q^{7} - 10 q^{8} - 3 q^{9} - 6 q^{11} + 16 q^{13} - 2 q^{14} + 16 q^{15} - 10 q^{16} - 2 q^{17} + 22 q^{18} - 10 q^{19} - 5 q^{20} + 3 q^{21} + 14 q^{22} + 4 q^{23} - 10 q^{24} - 2 q^{25} - 34 q^{26} + 29 q^{27} + 8 q^{28} + 16 q^{30} + 19 q^{31} + 40 q^{32} - 16 q^{33} + 3 q^{34} - 24 q^{35} - 3 q^{36} + q^{37} - 10 q^{38} - 7 q^{39} + 5 q^{40} + 20 q^{41} + 3 q^{42} - 48 q^{43} + 14 q^{44} + 53 q^{45} + 4 q^{46} + 29 q^{47} + 28 q^{49} + 3 q^{50} - 122 q^{51} + 16 q^{52} - 5 q^{53} - 6 q^{54} + 56 q^{55} + 8 q^{56} - 10 q^{57} + 20 q^{59} - 19 q^{60} + 42 q^{61} - 21 q^{62} + 9 q^{63} - 10 q^{64} + 35 q^{65} + 24 q^{66} - 3 q^{67} - 2 q^{68} - 9 q^{69} - 19 q^{70} + 18 q^{71} - 8 q^{72} + 8 q^{73} - 64 q^{74} + 7 q^{75} + 40 q^{76} + 35 q^{77} - 2 q^{78} + q^{79} + 59 q^{81} - 30 q^{82} + 11 q^{83} - 7 q^{84} - 125 q^{85} + 32 q^{86} - 31 q^{87} - 6 q^{88} - 34 q^{89} - 7 q^{90} + 10 q^{91} + 4 q^{92} + 24 q^{93} + 29 q^{94} + 5 q^{95} + 5 q^{96} + 90 q^{97} - 12 q^{98} + 10 q^{99}+O(q^{100}) \) 40 * q - 10 * q^2 + 5 * q^3 - 10 * q^4 + 5 * q^6 - 12 * q^7 - 10 * q^8 - 3 * q^9 - 6 * q^11 + 16 * q^13 - 2 * q^14 + 16 * q^15 - 10 * q^16 - 2 * q^17 + 22 * q^18 - 10 * q^19 - 5 * q^20 + 3 * q^21 + 14 * q^22 + 4 * q^23 - 10 * q^24 - 2 * q^25 - 34 * q^26 + 29 * q^27 + 8 * q^28 + 16 * q^30 + 19 * q^31 + 40 * q^32 - 16 * q^33 + 3 * q^34 - 24 * q^35 - 3 * q^36 + q^37 - 10 * q^38 - 7 * q^39 + 5 * q^40 + 20 * q^41 + 3 * q^42 - 48 * q^43 + 14 * q^44 + 53 * q^45 + 4 * q^46 + 29 * q^47 + 28 * q^49 + 3 * q^50 - 122 * q^51 + 16 * q^52 - 5 * q^53 - 6 * q^54 + 56 * q^55 + 8 * q^56 - 10 * q^57 + 20 * q^59 - 19 * q^60 + 42 * q^61 - 21 * q^62 + 9 * q^63 - 10 * q^64 + 35 * q^65 + 24 * q^66 - 3 * q^67 - 2 * q^68 - 9 * q^69 - 19 * q^70 + 18 * q^71 - 8 * q^72 + 8 * q^73 - 64 * q^74 + 7 * q^75 + 40 * q^76 + 35 * q^77 - 2 * q^78 + q^79 + 59 * q^81 - 30 * q^82 + 11 * q^83 - 7 * q^84 - 125 * q^85 + 32 * q^86 - 31 * q^87 - 6 * q^88 - 34 * q^89 - 7 * q^90 + 10 * q^91 + 4 * q^92 + 24 * q^93 + 29 * q^94 + 5 * q^95 + 5 * q^96 + 90 * q^97 - 12 * q^98 + 10 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/950\mathbb{Z}\right)^\times$.

$n$	$77$	$401$
$\chi(n)$	$e\left(\frac{2}{5}\right)$	$1$

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 $

$2$	0.309017	+	0.951057i	0.218508	+	0.672499i
$2$	0.309017	+	0.951057i	0.218508	+	0.672499i
$3$	−0.346529	+	0.251768i	−0.200068	+	0.145358i	−0.683309	−	0.730130i	$-0.739460\pi$
$3$	−0.346529	+	0.251768i	−0.200068	+	0.145358i	0.483240	+	0.875488i	$0.339460\pi$
$4$	−0.809017	+	0.587785i	−0.404508	+	0.293893i
$5$	−1.41712	+	1.72968i	−0.633754	+	0.773535i
$5$	−1.41712	+	1.72968i	−0.633754	+	0.773535i
$6$	−0.346529	−	0.251768i	−0.141470	−	0.102784i
$7$	1.40627			0.531518			0.265759	−	0.964039i	$-0.414377\pi$
$7$	1.40627			0.531518			0.265759	+	0.964039i	$0.414377\pi$
$8$	−0.809017	−	0.587785i	−0.286031	−	0.207813i
$9$	−0.870356	+	2.67868i	−0.290119	+	0.892893i
$10$	−2.08293	−	0.813259i	−0.658681	−	0.257175i
$11$	1.45720	+	4.48481i	0.439363	+	1.35222i	0.888549	+	0.458782i	$0.151714\pi$
$11$	1.45720	+	4.48481i	0.439363	+	1.35222i	−0.449186	+	0.893438i	$0.648286\pi$
$12$	0.132362	−	0.407369i	0.0382097	−	0.117597i
$13$	0.372858	−	1.14754i	0.103412	−	0.318270i	−0.885942	−	0.463795i	$-0.846487\pi$
$13$	0.372858	−	1.14754i	0.103412	−	0.318270i	0.989355	+	0.145525i	$0.0464873\pi$
$14$	0.434560	+	1.33744i	0.116141	+	0.357445i
$15$	0.0555949	−	0.956166i	0.0143545	−	0.246881i
$16$	0.309017	−	0.951057i	0.0772542	−	0.237764i
$17$	0.893089	+	0.648867i	0.216606	+	0.157373i	0.690798	−	0.723048i	$-0.257260\pi$
$17$	0.893089	+	0.648867i	0.216606	+	0.157373i	−0.474192	+	0.880422i	$0.657260\pi$
$18$	−2.81653			−0.663863
$19$	−0.809017	−	0.587785i	−0.185601	−	0.134847i
$19$	−0.809017	−	0.587785i	−0.185601	−	0.134847i
$20$	0.129794	−	2.23230i	0.0290227	−	0.499157i
$21$	−0.487311	+	0.354052i	−0.106340	+	0.0772605i
$22$	−3.81500	+	2.77176i	−0.813362	+	0.590942i
$23$	−1.02267	−	3.14746i	−0.213242	−	0.656291i	−0.999274	−	0.0381052i	$-0.987868\pi$
$23$	−1.02267	−	3.14746i	−0.213242	−	0.656291i	0.786032	−	0.618186i	$-0.212132\pi$
$24$	0.428333			0.0874331
$25$	−0.983559	−	4.90231i	−0.196712	−	0.980461i
$26$	1.20659			0.236633
$27$	−0.769888	−	2.36947i	−0.148165	−	0.456005i
$28$	−1.13769	+	0.826582i	−0.215004	+	0.156209i
$29$	−1.30245	+	0.946288i	−0.241860	+	0.175721i	−0.702111	−	0.712067i	$-0.747759\pi$
$29$	−1.30245	+	0.946288i	−0.241860	+	0.175721i	0.460252	+	0.887788i	$0.347759\pi$
$30$	0.926548	−	0.242598i	0.169164	−	0.0442921i
$31$	−3.56838	−	2.59258i	−0.640899	−	0.465640i	0.219260	−	0.975666i	$-0.429636\pi$
$31$	−3.56838	−	2.59258i	−0.640899	−	0.465640i	−0.860159	+	0.510026i	$0.829636\pi$
$32$	1.00000			0.176777
$33$	−1.63409	−	1.18724i	−0.284459	−	0.206671i
$34$	−0.341130	+	1.04989i	−0.0585033	+	0.180055i
$35$	−1.99284	+	2.43238i	−0.336852	+	0.411148i
$36$	−0.870356	−	2.67868i	−0.145059	−	0.446447i
$37$	−3.17681	+	9.77721i	−0.522264	+	1.60736i	0.247399	+	0.968914i	$0.420424\pi$
$37$	−3.17681	+	9.77721i	−0.522264	+	1.60736i	−0.769663	+	0.638450i	$0.779576\pi$
$38$	0.309017	−	0.951057i	0.0501292	−	0.154282i
$39$	0.159707	+	0.491529i	0.0255736	+	0.0787076i
$40$	2.16315	−	0.566377i	0.342024	−	0.0895520i
$41$	−2.26515	+	6.97141i	−0.353757	+	1.08875i	0.602970	+	0.797764i	$0.293984\pi$
$41$	−2.26515	+	6.97141i	−0.353757	+	1.08875i	−0.956727	+	0.290987i	$0.906016\pi$
$42$	−0.487311	−	0.354052i	−0.0751937	−	0.0546314i
$43$	−12.3552			−1.88416			−0.942078	−	0.335393i	$-0.891131\pi$
$43$	−12.3552			−1.88416			−0.942078	+	0.335393i	$0.891131\pi$
$44$	−3.81500	−	2.77176i	−0.575134	−	0.417859i
$45$	−3.39985	−	5.30144i	−0.506820	−	0.790292i
$46$	2.67739	−	1.94524i	0.394760	−	0.286810i
$47$	1.14150	−	0.829346i	0.166504	−	0.120973i	−0.501413	−	0.865208i	$-0.667186\pi$
$47$	1.14150	−	0.829346i	0.166504	−	0.120973i	0.667917	+	0.744236i	$0.267186\pi$
$48$	0.132362	+	0.407369i	0.0191048	+	0.0587986i
$49$	−5.02242			−0.717488
$50$	4.35843	−	2.45032i	0.616376	−	0.346527i
$51$	−0.472845			−0.0662115
$52$	0.372858	+	1.14754i	0.0517061	+	0.159135i
$53$	7.56731	−	5.49797i	1.03945	−	0.755205i	0.0692721	−	0.997598i	$-0.477932\pi$
$53$	7.56731	−	5.49797i	1.03945	−	0.755205i	0.970178	+	0.242393i	$0.0779323\pi$
$54$	2.01559	−	1.46441i	0.274288	−	0.199282i
$55$	−9.82229	−	3.83501i	−1.32444	−	0.517112i
$56$	−1.13769	−	0.826582i	−0.152031	−	0.110457i
$57$	0.428333			0.0567341
$58$	−1.30245	−	0.946288i	−0.171021	−	0.124254i
$59$	−0.0599091	+	0.184381i	−0.00779950	+	0.0240044i	−0.954881	−	0.296990i	$-0.904017\pi$
$59$	−0.0599091	+	0.184381i	−0.00779950	+	0.0240044i	0.947081	+	0.320995i	$0.104017\pi$
$60$	0.517043	+	0.806233i	0.0667500	+	0.104084i
$61$	−0.937445	−	2.88516i	−0.120028	−	0.369407i	0.872935	−	0.487837i	$-0.162214\pi$
$61$	−0.937445	−	2.88516i	−0.120028	−	0.369407i	−0.992962	+	0.118430i	$0.962214\pi$
$62$	1.36300	−	4.19488i	0.173101	−	0.532750i
$63$	−1.22395	+	3.76694i	−0.154203	+	0.474589i
$64$	0.309017	+	0.951057i	0.0386271	+	0.118882i
$65$	1.45649	+	2.27112i	0.180655	+	0.281698i
$66$	0.624167	−	1.92099i	0.0768297	−	0.236457i
$67$	8.09511	+	5.88144i	0.988975	+	0.718533i	0.959696	−	0.281039i	$-0.0906789\pi$
$67$	8.09511	+	5.88144i	0.988975	+	0.718533i	0.0292789	+	0.999571i	$0.490679\pi$
$68$	−1.10392			−0.133870
$69$	1.14681	+	0.833209i	0.138060	+	0.100307i
$70$	−2.92916	−	1.14366i	−0.350101	−	0.136693i
$71$	2.61666	−	1.90111i	0.310540	−	0.225621i	−0.421588	−	0.906787i	$-0.638527\pi$
$71$	2.61666	−	1.90111i	0.310540	−	0.225621i	0.732128	+	0.681167i	$0.238527\pi$
$72$	2.27862	−	1.65552i	0.268538	−	0.195104i
$73$	−1.09051	−	3.35624i	−0.127634	−	0.392818i	0.866737	−	0.498765i	$-0.166213\pi$
$73$	−1.09051	−	3.35624i	−0.127634	−	0.392818i	−0.994372	+	0.105946i	$0.966213\pi$
$74$	−10.2804			−1.19507
$75$	1.57507	+	1.45116i	0.181874	+	0.167566i
$76$	1.00000			0.114708
$77$	2.04921	+	6.30683i	0.233529	+	0.718730i
$78$	−0.418119	+	0.303781i	−0.0473427	+	0.0343965i
$79$	3.28992	−	2.39027i	0.370145	−	0.268926i	−0.387126	−	0.922027i	$-0.626532\pi$
$79$	3.28992	−	2.39027i	0.370145	−	0.268926i	0.757271	+	0.653101i	$0.226532\pi$
$80$	1.20711	+	1.88226i	0.134959	+	0.210443i
$81$	−5.97252	−	4.33929i	−0.663613	−	0.482143i
$82$	−7.33017			−0.809482
$83$	10.0078	+	7.27106i	1.09849	+	0.798103i	0.980813	−	0.194949i	$-0.0624540\pi$
$83$	10.0078	+	7.27106i	1.09849	+	0.798103i	0.117681	+	0.993051i	$0.462454\pi$
$84$	0.186136	−	0.572869i	0.0203091	−	0.0625051i
$85$	−2.38794	+	0.625234i	−0.259009	+	0.0678162i
$86$	−3.81798	−	11.7505i	−0.411703	−	1.26709i
$87$	0.213093	−	0.655832i	0.0228459	−	0.0703125i
$88$	1.45720	−	4.48481i	0.155338	−	0.478082i
$89$	−0.725509	−	2.23289i	−0.0769038	−	0.236685i	0.905213	−	0.424958i	$-0.139711\pi$
$89$	−0.725509	−	2.23289i	−0.0769038	−	0.236685i	−0.982117	+	0.188273i	$0.939711\pi$
$90$	3.99135	−	4.87169i	0.420726	−	0.513521i
$91$	0.524337	−	1.61374i	0.0549655	−	0.169166i
$92$	2.67739	+	1.94524i	0.279137	+	0.202805i
$93$	1.88927			0.195908
$94$	1.14150	+	0.829346i	0.117736	+	0.0855405i
$95$	2.16315	−	0.566377i	0.221934	−	0.0581090i
$96$	−0.346529	+	0.251768i	−0.0353674	+	0.0256959i
$97$	−0.448822	+	0.326088i	−0.0455710	+	0.0331093i	−0.610338	−	0.792141i	$-0.708966\pi$
$97$	−0.448822	+	0.326088i	−0.0455710	+	0.0331093i	0.564767	+	0.825251i	$0.308966\pi$
$98$	−1.55201	−	4.77660i	−0.156777	−	0.482510i
$99$	−13.2816			−1.33486
$100$	3.67722	+	3.38793i	0.367722	+	0.338793i
$101$	−5.73267			−0.570422			−0.285211	−	0.958465i	$-0.592064\pi$
$101$	−5.73267			−0.570422			−0.285211	+	0.958465i	$0.592064\pi$
$102$	−0.146117	−	0.449702i	−0.0144677	−	0.0445271i
$103$	4.34250	−	3.15501i	0.427879	−	0.310872i	−0.352921	−	0.935653i	$-0.614812\pi$
$103$	4.34250	−	3.15501i	0.427879	−	0.310872i	0.780800	+	0.624781i	$0.214812\pi$
$104$	−0.976155	+	0.709218i	−0.0957199	+	0.0695445i
$105$	0.0781812	−	1.34462i	0.00762970	−	0.131222i
$106$	7.56731	+	5.49797i	0.735002	+	0.534010i
$107$	11.6944			1.13054			0.565269	−	0.824906i	$-0.308772\pi$
$107$	11.6944			1.13054			0.565269	+	0.824906i	$0.308772\pi$
$108$	2.01559	+	1.46441i	0.193951	+	0.140913i
$109$	−1.74264	+	5.36328i	−0.166914	+	0.513710i	−0.999172	−	0.0406791i	$-0.987048\pi$
$109$	−1.74264	+	5.36328i	−0.166914	+	0.513710i	0.832258	+	0.554389i	$0.187048\pi$
$110$	0.612056	−	10.5266i	0.0583572	−	1.00368i
$111$	−1.36073	−	4.18790i	−0.129155	−	0.397498i
$112$	0.434560	−	1.33744i	0.0410621	−	0.126376i
$113$	−2.85598	+	8.78981i	−0.268668	+	0.826876i	0.722157	+	0.691729i	$0.243151\pi$
$113$	−2.85598	+	8.78981i	−0.268668	+	0.826876i	−0.990826	+	0.135147i	$0.956849\pi$
$114$	0.132362	+	0.407369i	0.0123968	+	0.0381536i
$115$	6.89334	+	2.69143i	0.642807	+	0.250977i
$116$	0.497493	−	1.53113i	0.0461911	−	0.142162i
$117$	2.74937	+	1.99753i	0.254179	+	0.184672i
$118$	−0.193870			−0.0178472
$119$	1.25592	+	0.912480i	0.115130	+	0.0836469i
$120$	−0.606998	+	0.740877i	−0.0554111	+	0.0676325i
$121$	−9.09087	+	6.60490i	−0.826442	+	0.600445i
$122$	2.45426	−	1.78313i	0.222199	−	0.161437i
$123$	−0.970237	−	2.98608i	−0.0874833	−	0.269246i
$124$	4.41075			0.396097
$125$	9.87322	+	5.24590i	0.883088	+	0.469208i
$126$	−3.96079			−0.352855
$127$	5.39263	+	16.5968i	0.478518	+	1.47273i	0.841153	+	0.540797i	$0.181877\pi$
$127$	5.39263	+	16.5968i	0.478518	+	1.47273i	−0.362635	+	0.931931i	$0.618123\pi$
$128$	−0.809017	+	0.587785i	−0.0715077	+	0.0519534i
$129$	4.28144	−	3.11065i	0.376960	−	0.273878i
$130$	−1.70988	+	2.08702i	−0.149967	+	0.183043i
$131$	1.72344	+	1.25216i	0.150578	+	0.109401i	0.660523	−	0.750805i	$-0.270334\pi$
$131$	1.72344	+	1.25216i	0.150578	+	0.109401i	−0.509945	+	0.860207i	$0.670334\pi$
$132$	2.01985			0.175805
$133$	−1.13769	−	0.826582i	−0.0986505	−	0.0716738i
$134$	−3.09206	+	9.51637i	−0.267113	+	0.822090i
$135$	5.18944	+	2.02616i	0.446636	+	0.174384i
$136$	−0.341130	−	1.04989i	−0.0292516	−	0.0900273i
$137$	1.42131	−	4.37435i	0.121431	−	0.373726i	−0.871803	−	0.489857i	$-0.837049\pi$
$137$	1.42131	−	4.37435i	0.121431	−	0.373726i	0.993234	+	0.116131i	$0.0370491\pi$
$138$	−0.438044	+	1.34816i	−0.0372888	+	0.114763i
$139$	1.92594	+	5.92744i	0.163356	+	0.502759i	0.998911	−	0.0466475i	$-0.0148538\pi$
$139$	1.92594	+	5.92744i	0.163356	+	0.502759i	−0.835555	+	0.549407i	$0.814854\pi$
$140$	0.182524	−	3.13920i	0.0154261	−	0.265311i
$141$	−0.186759	+	0.574784i	−0.0157279	+	0.0484055i
$142$	2.61666	+	1.90111i	0.219585	+	0.159538i
$143$	5.68982			0.475807
$144$	2.27862	+	1.65552i	0.189885	+	0.137960i
$145$	0.208958	−	3.59383i	0.0173530	−	0.298451i
$146$	2.85499	−	2.07427i	0.236281	−	0.171668i
$147$	1.74041	−	1.26448i	0.143547	−	0.104293i
$148$	−3.17681	−	9.77721i	−0.261132	−	0.803682i
$149$	3.03459			0.248603			0.124302	−	0.992244i	$-0.460331\pi$
$149$	3.03459			0.248603			0.124302	+	0.992244i	$0.460331\pi$
$150$	−0.893411	+	1.94642i	−0.0729467	+	0.158924i
$151$	−1.52947			−0.124466			−0.0622331	−	0.998062i	$-0.519822\pi$
$151$	−1.52947			−0.124466			−0.0622331	+	0.998062i	$0.519822\pi$
$152$	0.309017	+	0.951057i	0.0250646	+	0.0771409i
$153$	−2.51541	+	1.82756i	−0.203359	+	0.147749i
$154$	−5.36491	+	3.89783i	−0.432317	+	0.314096i
$155$	9.54112	−	2.49815i	0.766361	−	0.200656i
$156$	−0.418119	−	0.303781i	−0.0334763	−	0.0243220i
$157$	13.4609			1.07429			0.537147	−	0.843488i	$-0.319502\pi$
$157$	13.4609			1.07429			0.537147	+	0.843488i	$0.319502\pi$
$158$	3.28992	+	2.39027i	0.261732	+	0.190160i
$159$	−1.23808	+	3.81041i	−0.0981859	+	0.302185i
$160$	−1.41712	+	1.72968i	−0.112033	+	0.136743i
$161$	−1.43815	−	4.42617i	−0.113342	−	0.348831i
$162$	2.28130	−	7.02112i	0.179236	−	0.551631i
$163$	−2.23768	+	6.88688i	−0.175269	+	0.539422i	−0.999646	−	0.0266193i	$-0.991526\pi$
$163$	−2.23768	+	6.88688i	−0.175269	+	0.539422i	0.824377	+	0.566041i	$0.191526\pi$
$164$	−2.26515	−	6.97141i	−0.176878	−	0.544376i
$165$	4.36923	−	1.14400i	0.340144	−	0.0890599i
$166$	−3.82262	+	11.7648i	−0.296693	+	0.913128i
$167$	10.7916	+	7.84056i	0.835080	+	0.606721i	0.920992	−	0.389582i	$-0.127380\pi$
$167$	10.7916	+	7.84056i	0.835080	+	0.606721i	−0.0859122	+	0.996303i	$0.527380\pi$
$168$	0.602350			0.0464723
$169$	9.33940	+	6.78547i	0.718415	+	0.521959i
$170$	−1.33255	−	2.07786i	−0.102202	−	0.159365i
$171$	2.27862	−	1.65552i	0.174251	−	0.126600i
$172$	9.99560	−	7.26223i	0.762157	−	0.553740i
$173$	−1.19564	−	3.67979i	−0.0909026	−	0.279769i	0.895262	−	0.445541i	$-0.146989\pi$
$173$	−1.19564	−	3.67979i	−0.0909026	−	0.279769i	−0.986164	+	0.165771i	$0.946989\pi$
$174$	0.689582			0.0522771
$175$	−1.38314	−	6.89394i	−0.104556	−	0.521133i
$176$	4.71560			0.355452
$177$	−0.0256610	−	0.0789765i	−0.00192880	−	0.00593624i
$178$	1.89941	−	1.38000i	0.142367	−	0.103435i
$179$	−9.27511	+	6.73876i	−0.693254	+	0.503679i	−0.877728	−	0.479159i	$-0.840942\pi$
$179$	−9.27511	+	6.73876i	−0.693254	+	0.503679i	0.184474	+	0.982837i	$0.440942\pi$
$180$	5.86665	+	2.29057i	0.437274	+	0.170729i
$181$	−14.9894	−	10.8905i	−1.11416	−	0.809481i	−0.130842	−	0.991403i	$-0.541768\pi$
$181$	−14.9894	−	10.8905i	−1.11416	−	0.809481i	−0.983313	+	0.181922i	$0.941768\pi$
$182$	1.69679			0.125775
$183$	1.05124	+	0.763772i	0.0777100	+	0.0564596i
$184$	−1.02267	+	3.14746i	−0.0753924	+	0.232034i
$185$	−12.4095	−	19.3503i	−0.912365	−	1.42266i
$186$	0.583817	+	1.79680i	0.0428075	+	0.131748i
$187$	−1.60863	+	4.95086i	−0.117635	+	0.362043i
$188$	−0.436013	+	1.34191i	−0.0317995	+	0.0978688i
$189$	−1.08267	−	3.33211i	−0.0787525	−	0.242375i
$190$	1.20711	+	1.88226i	0.0875727	+	0.136553i
$191$	−0.163482	+	0.503146i	−0.0118291	+	0.0364063i	−0.956797	−	0.290757i	$-0.906093\pi$
$191$	−0.163482	+	0.503146i	−0.0118291	+	0.0364063i	0.944968	+	0.327164i	$0.106093\pi$
$192$	−0.346529	−	0.251768i	−0.0250085	−	0.0181698i
$193$	3.74590			0.269636			0.134818	−	0.990870i	$-0.456955\pi$
$193$	3.74590			0.269636			0.134818	+	0.990870i	$0.456955\pi$
$194$	−0.448822	−	0.326088i	−0.0322236	−	0.0234118i
$195$	−1.07651	−	0.420312i	−0.0770904	−	0.0300991i
$196$	4.06322	−	2.95210i	0.290230	−	0.210865i
$197$	−5.66126	+	4.11315i	−0.403348	+	0.293050i	−0.770903	−	0.636952i	$-0.780195\pi$
$197$	−5.66126	+	4.11315i	−0.403348	+	0.293050i	0.367555	+	0.930002i	$0.380195\pi$
$198$	−4.10425	−	12.6316i	−0.291677	−	0.897688i
$199$	−10.5348			−0.746789			−0.373394	−	0.927673i	$-0.621806\pi$
$199$	−10.5348			−0.746789			−0.373394	+	0.927673i	$0.621806\pi$
$200$	−2.08579	+	4.54417i	−0.147487	+	0.321321i
$201$	−4.28594			−0.302307
$202$	−1.77149	−	5.45209i	−0.124642	−	0.383608i
$203$	−1.83160	+	1.33073i	−0.128553	+	0.0933991i
$204$	0.382539	−	0.277931i	0.0267831	−	0.0194591i
$205$	−8.84830	−	13.7973i	−0.617992	−	0.963643i
$206$	4.34250	+	3.15501i	0.302556	+	0.219820i
$207$	9.32113			0.647864
$208$	−0.976155	−	0.709218i	−0.0676842	−	0.0491754i
$209$	1.45720	−	4.48481i	0.100797	−	0.310221i
$210$	1.30297	−	0.341157i	0.0899136	−	0.0235421i
$211$	7.75040	+	23.8533i	0.533559	+	1.64213i	0.746741	+	0.665115i	$0.231617\pi$
$211$	7.75040	+	23.8533i	0.533559	+	1.64213i	−0.213182	+	0.977013i	$0.568383\pi$
$212$	−2.89046	+	8.89591i	−0.198517	+	0.610974i
$213$	−0.428108	+	1.31758i	−0.0293335	+	0.0902791i
$214$	3.61376	+	11.1220i	0.247032	+	0.760285i
$215$	17.5088	−	21.3706i	1.19409	−	1.45746i
$216$	−0.769888	+	2.36947i	−0.0523843	+	0.161222i
$217$	−5.01808	−	3.64585i	−0.340650	−	0.247496i
$218$	−5.63929			−0.381941
$219$	1.22289	+	0.888478i	0.0826349	+	0.0600378i
$220$	10.2006	−	2.67081i	0.687722	−	0.180066i
$221$	1.07760	−	0.782919i	0.0724870	−	0.0526649i
$222$	3.56244	−	2.58827i	0.239095	−	0.173713i
$223$	−0.777882	−	2.39407i	−0.0520908	−	0.160319i	0.921627	−	0.388077i	$-0.126861\pi$
$223$	−0.777882	−	2.39407i	−0.0520908	−	0.160319i	−0.973718	+	0.227758i	$0.926861\pi$
$224$	1.40627			0.0939601
$225$	13.9878	+	1.63211i	0.932517	+	0.108808i
$226$	−9.24216			−0.614779
$227$	3.70285	+	11.3962i	0.245767	+	0.756392i	0.995509	+	0.0946624i	$0.0301772\pi$
$227$	3.70285	+	11.3962i	0.245767	+	0.756392i	−0.749743	+	0.661729i	$0.769823\pi$
$228$	−0.346529	+	0.251768i	−0.0229494	+	0.0166737i
$229$	12.7535	−	9.26598i	0.842777	−	0.612313i	−0.0803680	−	0.996765i	$-0.525610\pi$
$229$	12.7535	−	9.26598i	0.842777	−	0.612313i	0.923145	+	0.384452i	$0.125610\pi$
$230$	−0.429544	+	7.38765i	−0.0283233	+	0.487127i
$231$	−2.29797	−	1.66957i	−0.151195	−	0.109850i
$232$	1.60992			0.105697
$233$	−20.9042	−	15.1878i	−1.36948	−	0.994986i	−0.997777	−	0.0666346i	$-0.978774\pi$
$233$	−20.9042	−	15.1878i	−1.36948	−	0.994986i	−0.371703	−	0.928352i	$-0.621226\pi$
$234$	−1.05017	+	3.23208i	−0.0686515	+	0.211288i
$235$	−0.183135	+	3.14970i	−0.0119464	+	0.205464i
$236$	−0.0599091	−	0.184381i	−0.00389975	−	0.0120022i
$237$	−0.538259	+	1.65659i	−0.0349637	+	0.107607i
$238$	−0.479719	+	1.47642i	−0.0310956	+	0.0957023i
$239$	8.11950	+	24.9892i	0.525207	+	1.61642i	0.763907	+	0.645326i	$0.223279\pi$
$239$	8.11950	+	24.9892i	0.525207	+	1.61642i	−0.238700	+	0.971093i	$0.576721\pi$
$240$	−0.892188	−	0.348346i	−0.0575905	−	0.0224856i
$241$	−1.56200	+	4.80735i	−0.100617	+	0.309669i	−0.988677	−	0.150060i	$-0.952053\pi$
$241$	−1.56200	+	4.80735i	−0.100617	+	0.309669i	0.888059	+	0.459729i	$0.152053\pi$
$242$	−9.09087	−	6.60490i	−0.584383	−	0.424579i
$243$	10.6364			0.682324
$244$	2.45426	+	1.78313i	0.157118	+	0.114153i
$245$	7.11735	−	8.68716i	0.454711	−	0.555002i
$246$	2.54011	−	1.84550i	0.161952	−	0.117665i
$247$	−0.976155	+	0.709218i	−0.0621112	+	0.0451265i
$248$	1.36300	+	4.19488i	0.0865505	+	0.266375i
$249$	−5.29859			−0.335785
$250$	−1.93816	+	11.0111i	−0.122580	+	0.696401i
$251$	−10.9175			−0.689108			−0.344554	−	0.938767i	$-0.611970\pi$
$251$	−10.9175			−0.689108			−0.344554	+	0.938767i	$0.611970\pi$
$252$	−1.22395	−	3.76694i	−0.0771017	−	0.237295i
$253$	12.6255	−	9.17298i	0.793760	−	0.576700i
$254$	−14.1181	+	10.2574i	−0.885848	+	0.643606i
$255$	0.670076	−	0.817868i	0.0419618	−	0.0512169i
$256$	−0.809017	−	0.587785i	−0.0505636	−	0.0367366i
$257$	−14.1647			−0.883572			−0.441786	−	0.897120i	$-0.645655\pi$
$257$	−14.1647			−0.883572			−0.441786	+	0.897120i	$0.645655\pi$
$258$	4.28144	+	3.11065i	0.266551	+	0.193661i
$259$	−4.46744	+	13.7494i	−0.277593	+	0.854343i
$260$	−2.51325	−	0.981273i	−0.155865	−	0.0608560i
$261$	−1.40121	−	4.31247i	−0.0867324	−	0.266935i
$262$	−0.658297	+	2.02603i	−0.0406697	+	0.125169i
$263$	−3.91439	+	12.0473i	−0.241372	+	0.742866i	0.754840	+	0.655909i	$0.227714\pi$
$263$	−3.91439	+	12.0473i	−0.241372	+	0.742866i	−0.996212	+	0.0869571i	$0.972286\pi$
$264$	0.624167	+	1.92099i	0.0384148	+	0.118229i
$265$	−1.21405	+	20.8803i	−0.0745787	+	1.28266i
$266$	0.434560	−	1.33744i	0.0266446	−	0.0820036i
$267$	0.813578	+	0.591099i	0.0497902	+	0.0361747i
$268$	−10.0061			−0.611220
$269$	17.4032	+	12.6442i	1.06109	+	0.770929i	0.974290	−	0.225296i	$-0.0723350\pi$
$269$	17.4032	+	12.6442i	1.06109	+	0.770929i	0.0868029	+	0.996226i	$0.472335\pi$
$270$	−0.323369	+	5.56157i	−0.0196796	+	0.338466i
$271$	−6.63644	+	4.82166i	−0.403135	+	0.292895i	−0.770817	−	0.637057i	$-0.780152\pi$
$271$	−6.63644	+	4.82166i	−0.403135	+	0.292895i	0.367682	+	0.929952i	$0.380152\pi$
$272$	0.893089	−	0.648867i	0.0541515	−	0.0393434i
$273$	0.224591	+	0.691220i	0.0135929	+	0.0418345i
$274$	4.59946			0.277864
$275$	20.5527	−	11.5547i	1.23937	−	0.696776i
$276$	−1.41754			−0.0853259
$277$	−1.15989	−	3.56977i	−0.0696909	−	0.214486i	0.910145	−	0.414289i	$-0.135970\pi$
$277$	−1.15989	−	3.56977i	−0.0696909	−	0.214486i	−0.979836	+	0.199803i	$0.935970\pi$
$278$	−5.04218	+	3.66336i	−0.302410	+	0.219714i
$279$	10.0504	−	7.30207i	0.601704	−	0.437164i
$280$	3.04196	−	0.796476i	0.181792	−	0.0475986i
$281$	4.57861	+	3.32655i	0.273137	+	0.198446i	0.715918	−	0.698184i	$-0.246008\pi$
$281$	4.57861	+	3.32655i	0.273137	+	0.198446i	−0.442782	+	0.896630i	$0.646008\pi$
$282$	−0.604364			−0.0359893
$283$	−10.0302	−	7.28735i	−0.596232	−	0.433188i	0.248307	−	0.968681i	$-0.420126\pi$
$283$	−10.0302	−	7.28735i	−0.596232	−	0.433188i	−0.844540	+	0.535493i	$0.820126\pi$
$284$	−0.999475	+	3.07607i	−0.0593079	+	0.182531i
$285$	−0.606998	+	0.740877i	−0.0359554	+	0.0438858i
$286$	1.75825	+	5.41134i	0.103968	+	0.319979i
$287$	−3.18540	+	9.80365i	−0.188028	+	0.578691i
$288$	−0.870356	+	2.67868i	−0.0512862	+	0.157843i
$289$	−4.87671	−	15.0090i	−0.286865	−	0.882880i
$290$	3.48250	−	0.911822i	0.204500	−	0.0535441i
$291$	0.0734312	−	0.225998i	0.00430461	−	0.0132482i
$292$	2.85499	+	2.07427i	0.167076	+	0.121388i
$293$	22.7904			1.33143			0.665715	−	0.746206i	$-0.268127\pi$
$293$	22.7904			1.33143			0.665715	+	0.746206i	$0.268127\pi$
$294$	1.74041	+	1.26448i	0.101503	+	0.0737461i
$295$	−0.234022	−	0.364913i	−0.0136253	−	0.0212461i
$296$	8.31699	−	6.04265i	0.483415	−	0.351222i
$297$	9.50474	−	6.90560i	0.551521	−	0.400704i
$298$	0.937740	+	2.88607i	0.0543218	+	0.167185i
$299$	−3.99315			−0.230930
$300$	−2.12723	−	0.248209i	−0.122816	−	0.0143303i
$301$	−17.3747			−1.00146
$302$	−0.472631	−	1.45461i	−0.0271969	−	0.0837033i
$303$	1.98653	−	1.44330i	0.114123	−	0.0829155i
$304$	−0.809017	+	0.587785i	−0.0464003	+	0.0337118i
$305$	6.31886	+	2.46713i	0.361817	+	0.141268i
$306$	−2.51541	−	1.82756i	−0.143797	−	0.104474i
$307$	34.0120			1.94117			0.970583	−	0.240766i	$-0.0773987\pi$
$307$	34.0120			1.94117			0.970583	+	0.240766i	$0.0773987\pi$
$308$	−5.36491	−	3.89783i	−0.305694	−	0.222100i
$309$	−0.710470	+	2.18660i	−0.0404172	+	0.124391i
$310$	5.32425	+	8.30218i	0.302397	+	0.471532i
$311$	8.79222	+	27.0597i	0.498561	+	1.53441i	0.811333	+	0.584585i	$0.198743\pi$
$311$	8.79222	+	27.0597i	0.498561	+	1.53441i	−0.312771	+	0.949828i	$0.601257\pi$
$312$	0.159707	−	0.491529i	0.00904165	−	0.0278273i
$313$	3.86680	−	11.9008i	0.218564	−	0.672672i	−0.780317	−	0.625384i	$-0.784942\pi$
$313$	3.86680	−	11.9008i	0.218564	−	0.672672i	0.998881	−	0.0472878i	$-0.0150578\pi$
$314$	4.15964	+	12.8021i	0.234742	+	0.722462i
$315$	−4.78110	−	7.45523i	−0.269384	−	0.420054i
$316$	−1.25664	+	3.86753i	−0.0706914	+	0.217566i
$317$	14.2445	+	10.3493i	0.800053	+	0.581273i	0.910930	−	0.412562i	$-0.135366\pi$
$317$	14.2445	+	10.3493i	0.800053	+	0.581273i	−0.110877	+	0.993834i	$0.535366\pi$
$318$	−4.00650			−0.224673
$319$	−6.14186	−	4.46232i	−0.343878	−	0.249842i
$320$	−2.08293	−	0.813259i	−0.116439	−	0.0454626i
$321$	−4.05244	+	2.94427i	−0.226185	+	0.164333i
$322$	3.76512	−	2.73552i	0.209822	−	0.152445i
$323$	−0.341130	−	1.04989i	−0.0189810	−	0.0584174i
$324$	7.38244			0.410136
$325$	−5.99232	−	0.699192i	−0.332394	−	0.0387842i
$326$	−7.24130			−0.401058
$327$	−0.746429	−	2.29727i	−0.0412776	−	0.127039i
$328$	5.93023	−	4.30857i	0.327442	−	0.237901i
$329$	1.60525	−	1.16628i	0.0885001	−	0.0642991i
$330$	2.43817	+	3.80187i	0.134217	+	0.209286i
$331$	0.798868	+	0.580412i	0.0439098	+	0.0319023i	0.609524	−	0.792768i	$-0.291361\pi$
$331$	0.798868	+	0.580412i	0.0439098	+	0.0319023i	−0.565614	+	0.824670i	$0.691361\pi$
$332$	−12.3703			−0.678907
$333$	−23.4251	−	17.0193i	−1.28369	−	0.932653i
$334$	−4.12203	+	12.6863i	−0.225547	+	0.694163i
$335$	−21.6447	+	5.66723i	−1.18258	+	0.309634i
$336$	0.186136	+	0.572869i	0.0101546	+	0.0312525i
$337$	−6.27966	+	19.3268i	−0.342075	+	1.05280i	0.621056	+	0.783766i	$0.286704\pi$
$337$	−6.27966	+	19.3268i	−0.342075	+	1.05280i	−0.963131	+	0.269032i	$0.913296\pi$
$338$	−3.56733	+	10.9791i	−0.194037	+	0.597185i
$339$	−1.22331	−	3.76497i	−0.0664412	−	0.204485i
$340$	1.56438	−	1.90942i	0.0848406	−	0.103553i
$341$	6.42736	−	19.7814i	0.348061	−	1.07122i
$342$	2.27862	+	1.65552i	0.123214	+	0.0895200i
$343$	−16.9067			−0.912877
$344$	9.99560	+	7.26223i	0.538927	+	0.391553i
$345$	−3.06635	+	0.802862i	−0.165087	+	0.0432246i
$346$	3.13022	−	2.27424i	0.168282	−	0.122264i
$347$	0.894213	−	0.649684i	0.0480039	−	0.0348769i	−0.563525	−	0.826099i	$-0.690555\pi$
$347$	0.894213	−	0.649684i	0.0480039	−	0.0348769i	0.611528	+	0.791222i	$0.290555\pi$
$348$	0.213093	+	0.655832i	0.0114230	+	0.0351563i
$349$	−20.0610			−1.07384			−0.536920	−	0.843633i	$-0.680412\pi$
$349$	−20.0610			−1.07384			−0.536920	+	0.843633i	$0.680412\pi$
$350$	6.12912	−	3.44579i	0.327615	−	0.184185i
$351$	−3.00612			−0.160455
$352$	1.45720	+	4.48481i	0.0776691	+	0.239041i
$353$	25.1366	−	18.2628i	1.33789	−	0.972031i	0.338368	−	0.941014i	$-0.390125\pi$
$353$	25.1366	−	18.2628i	1.33789	−	0.972031i	0.999519	−	0.0310174i	$-0.00987472\pi$
$354$	0.0671814	−	0.0488102i	0.00357065	−	0.00259423i
$355$	−0.419800	+	7.22007i	−0.0222807	+	0.383202i
$356$	1.89941	+	1.38000i	0.100668	+	0.0731398i
$357$	−0.664945			−0.0351926
$358$	−9.27511	−	6.73876i	−0.490205	−	0.356155i
$359$	7.56232	−	23.2744i	0.399124	−	1.22838i	−0.526579	−	0.850126i	$-0.676526\pi$
$359$	7.56232	−	23.2744i	0.399124	−	1.22838i	0.925703	−	0.378251i	$-0.123474\pi$
$360$	−0.365568	+	6.28734i	−0.0192671	+	0.331372i
$361$	0.309017	+	0.951057i	0.0162641	+	0.0500556i
$362$	5.72545	−	17.6211i	0.300923	−	0.926146i
$363$	1.48734	−	4.57757i	0.0780653	−	0.240260i
$364$	0.524337	+	1.61374i	0.0274827	+	0.0845832i
$365$	7.35059	+	2.86996i	0.384747	+	0.150221i
$366$	−0.401539	+	1.23581i	−0.0209888	+	0.0645968i
$367$	−0.909631	−	0.660886i	−0.0474824	−	0.0344980i	0.563791	−	0.825918i	$-0.309342\pi$
$367$	−0.909631	−	0.660886i	−0.0474824	−	0.0344980i	−0.611273	+	0.791420i	$0.709342\pi$
$368$	−3.30944			−0.172516
$369$	−16.7027	−	12.1352i	−0.869507	−	0.631734i
$370$	14.5685	−	17.7817i	0.757380	−	0.924427i
$371$	10.6416	−	7.73161i	0.552487	−	0.401405i
$372$	−1.52845	+	1.11049i	−0.0792465	+	0.0575760i
$373$	2.82698	+	8.70055i	0.146375	+	0.450497i	0.997185	−	0.0749763i	$-0.0238881\pi$
$373$	2.82698	+	8.70055i	0.146375	+	0.450497i	−0.850810	+	0.525474i	$0.823888\pi$
$374$	−5.20565			−0.269178
$375$	−4.74210	+	0.667903i	−0.244881	+	0.0344903i
$376$	−1.41097			−0.0727651
$377$	0.600272	+	1.84745i	0.0309156	+	0.0951484i
$378$	2.83446	−	2.05936i	0.145789	−	0.105922i
$379$	−28.7547	+	20.8915i	−1.47703	+	1.07312i	−0.498531	+	0.866872i	$0.666127\pi$
$379$	−28.7547	+	20.8915i	−1.47703	+	1.07312i	−0.978499	+	0.206253i	$0.933873\pi$
$380$	−1.41712	+	1.72968i	−0.0726966	+	0.0887305i
$381$	−6.04724	−	4.39358i	−0.309809	−	0.225090i
$382$	−0.529039			−0.0270680
$383$	29.1872	+	21.2058i	1.49140	+	1.08356i	0.973654	+	0.228029i	$0.0732280\pi$
$383$	29.1872	+	21.2058i	1.49140	+	1.08356i	0.517744	+	0.855536i	$0.326772\pi$
$384$	0.132362	−	0.407369i	0.00675458	−	0.0207884i
$385$	−13.8127	−	5.39304i	−0.703963	−	0.274855i
$386$	1.15755	+	3.56256i	0.0589175	+	0.181330i
$387$	10.7535	−	33.0957i	0.546629	−	1.68235i
$388$	0.171435	−	0.527622i	0.00870328	−	0.0267860i
$389$	−9.97838	−	30.7103i	−0.505924	−	1.55707i	−0.799212	−	0.601049i	$-0.794750\pi$
$389$	−9.97838	−	30.7103i	−0.505924	−	1.55707i	0.293288	−	0.956024i	$-0.405250\pi$
$390$	0.0670804	−	1.15370i	0.00339675	−	0.0584201i
$391$	1.12895	−	3.47454i	0.0570933	−	0.175715i
$392$	4.06322	+	2.95210i	0.205224	+	0.149104i
$393$	−0.912475			−0.0460283
$394$	−5.66126	−	4.11315i	−0.285210	−	0.207217i
$395$	−0.527815	+	9.07779i	−0.0265572	+	0.456753i
$396$	10.7451	−	7.80676i	0.539960	−	0.392304i
$397$	−9.76489	+	7.09461i	−0.490086	+	0.356068i	−0.805217	−	0.592980i	$-0.797951\pi$
$397$	−9.76489	+	7.09461i	−0.490086	+	0.356068i	0.315131	+	0.949048i	$0.397951\pi$
$398$	−3.25542	−	10.0191i	−0.163179	−	0.502214i
$399$	0.602350			0.0301552
$400$	−4.96631	−	0.579476i	−0.248315	−	0.0289738i
$401$	−35.8620			−1.79086			−0.895432	−	0.445198i	$-0.853133\pi$
$401$	−35.8620			−1.79086			−0.895432	+	0.445198i	$0.853133\pi$
$402$	−1.32443	−	4.07618i	−0.0660565	−	0.203301i
$403$	−4.30558	+	3.12819i	−0.214476	+	0.155826i
$404$	4.63783	−	3.36958i	0.230741	−	0.167643i
$405$	15.9693	−	4.18124i	0.793522	−	0.207768i
$406$	−1.83160	−	1.33073i	−0.0909006	−	0.0660431i
$407$	−48.4782			−2.40297
$408$	0.382539	+	0.277931i	0.0189385	+	0.0137596i
$409$	10.6427	−	32.7548i	0.526246	−	1.61962i	−0.235592	−	0.971852i	$-0.575703\pi$
$409$	10.6427	−	32.7548i	0.526246	−	1.61962i	0.761838	−	0.647768i	$-0.224297\pi$
$410$	10.3877	−	12.6788i	0.513013	−	0.626163i
$411$	0.608795	+	1.87368i	0.0300296	+	0.0924217i
$412$	−1.65869	+	5.10491i	−0.0817176	+	0.251501i
$413$	−0.0842481	+	0.259289i	−0.00414558	+	0.0127588i
$414$	2.88039	+	8.86492i	0.141563	+	0.435687i
$415$	−26.7588	+	7.00624i	−1.31354	+	0.343923i
$416$	0.372858	−	1.14754i	0.0182809	−	0.0562627i
$417$	−2.15973	−	1.56914i	−0.105763	−	0.0768410i
$418$	4.71560			0.230648
$419$	13.5594	+	9.85145i	0.662418	+	0.481275i	0.867479	−	0.497474i	$-0.165739\pi$
$419$	13.5594	+	9.85145i	0.662418	+	0.481275i	−0.205061	+	0.978749i	$0.565739\pi$
$420$	0.727100	+	1.13378i	0.0354789	+	0.0553227i
$421$	22.8192	−	16.5791i	1.11214	−	0.808015i	0.129139	−	0.991627i	$-0.458779\pi$
$421$	22.8192	−	16.5791i	1.11214	−	0.808015i	0.982999	+	0.183611i	$0.0587788\pi$
$422$	−20.2908	+	14.7421i	−0.987741	+	0.717636i
$423$	1.22804	+	3.77953i	0.0597095	+	0.183767i
$424$	−9.35371			−0.454256
$425$	2.30254	−	5.01640i	0.111690	−	0.243331i
$426$	−1.38539			−0.0671222
$427$	−1.31830	−	4.05730i	−0.0637969	−	0.196347i
$428$	−9.46095	+	6.87378i	−0.457312	+	0.332257i
$429$	−1.97168	+	1.43251i	−0.0951938	+	0.0691624i
$430$	25.7351	+	10.0480i	1.24106	+	0.484558i
$431$	−27.3466	−	19.8685i	−1.31724	−	0.957032i	−0.999962	−	0.00869924i	$-0.997231\pi$
$431$	−27.3466	−	19.8685i	−1.31724	−	0.957032i	−0.317279	−	0.948332i	$-0.602769\pi$
$432$	−2.49141			−0.119868
$433$	−10.0345	−	7.29047i	−0.482226	−	0.350358i	0.319961	−	0.947431i	$-0.396330\pi$
$433$	−10.0345	−	7.29047i	−0.482226	−	0.350358i	−0.802187	+	0.597073i	$0.796330\pi$
$434$	1.91674	−	5.89911i	0.0920063	−	0.283166i
$435$	0.832399	+	1.29797i	0.0399105	+	0.0622330i
$436$	−1.74264	−	5.36328i	−0.0834572	−	0.256855i
$437$	−1.02267	+	3.14746i	−0.0489211	+	0.150564i
$438$	−0.467101	+	1.43759i	−0.0223189	+	0.0686906i
$439$	−2.14524	−	6.60238i	−0.102387	−	0.315114i	0.886721	−	0.462304i	$-0.152977\pi$
$439$	−2.14524	−	6.60238i	−0.102387	−	0.315114i	−0.989108	+	0.147190i	$0.952977\pi$
$440$	5.69224	+	8.87598i	0.271367	+	0.423146i
$441$	4.37129	−	13.4535i	0.208157	−	0.640641i
$442$	1.07760	+	0.782919i	0.0512560	+	0.0372397i
$443$	22.5514			1.07145			0.535724	−	0.844393i	$-0.320039\pi$
$443$	22.5514			1.07145			0.535724	+	0.844393i	$0.320039\pi$
$444$	3.56244	+	2.58827i	0.169066	+	0.122834i
$445$	4.89030	+	1.90937i	0.231823	+	0.0905126i
$446$	2.03652	−	1.47962i	0.0964320	−	0.0700620i
$447$	−1.05157	+	0.764012i	−0.0497376	+	0.0361365i
$448$	0.434560	+	1.33744i	0.0205310	+	0.0631880i
$449$	−16.4465			−0.776159			−0.388080	−	0.921626i	$-0.626861\pi$
$449$	−16.4465			−0.776159			−0.388080	+	0.921626i	$0.626861\pi$
$450$	2.77022	+	13.8075i	0.130590	+	0.650892i
$451$	−34.5662			−1.62766
$452$	−2.85598	−	8.78981i	−0.134334	−	0.413438i
$453$	0.530004	−	0.385070i	0.0249017	−	0.0180922i
$454$	−9.69418	+	7.04323i	−0.454970	+	0.330555i
$455$	2.04821	+	3.19380i	0.0960214	+	0.149728i
$456$	−0.346529	−	0.251768i	−0.0162277	−	0.0117901i
$457$	−27.3913			−1.28131			−0.640656	−	0.767828i	$-0.721337\pi$
$457$	−27.3913			−1.28131			−0.640656	+	0.767828i	$0.721337\pi$
$458$	12.7535	+	9.26598i	0.595933	+	0.432971i
$459$	0.849894	−	2.61571i	0.0396697	−	0.122091i
$460$	−7.15881	+	1.87439i	−0.333781	+	0.0873938i
$461$	10.3142	+	31.7439i	0.480382	+	1.47846i	0.838560	+	0.544809i	$0.183398\pi$
$461$	10.3142	+	31.7439i	0.480382	+	1.47846i	−0.358178	+	0.933653i	$0.616602\pi$
$462$	0.877745	−	2.70142i	0.0408364	−	0.125681i
$463$	2.82002	−	8.67912i	0.131057	−	0.403353i	−0.863899	−	0.503666i	$-0.831984\pi$
$463$	2.82002	−	8.67912i	0.131057	−	0.403353i	0.994956	+	0.100313i	$0.0319844\pi$
$464$	0.497493	+	1.53113i	0.0230955	+	0.0710808i
$465$	−2.67732	+	3.26783i	−0.124158	+	0.151542i
$466$	7.98470	−	24.5744i	0.369884	−	1.13839i
$467$	−3.50749	−	2.54834i	−0.162307	−	0.117923i	0.503667	−	0.863898i	$-0.331984\pi$
$467$	−3.50749	−	2.54834i	−0.162307	−	0.117923i	−0.665974	+	0.745975i	$0.731984\pi$
$468$	−3.39841			−0.157091
$469$	11.3839	+	8.27087i	0.525659	+	0.381913i
$470$	−3.05213	+	0.799139i	−0.140784	+	0.0368615i
$471$	−4.66458	+	3.38901i	−0.214932	+	0.156157i
$472$	0.156844	−	0.113954i	0.00721933	−	0.00524515i
$473$	−18.0041	−	55.4109i	−0.827829	−	2.54779i
$474$	−1.74184			−0.0800055
$475$	−2.08579	+	4.54417i	−0.0957025	+	0.208501i
$476$	−1.55240			−0.0711543
$477$	8.14106	+	25.0556i	0.372754	+	1.14722i
$478$	−21.2571	+	15.4442i	−0.972278	+	0.706401i
$479$	22.7176	−	16.5053i	1.03799	−	0.754145i	0.0680993	−	0.997679i	$-0.478307\pi$
$479$	22.7176	−	16.5053i	1.03799	−	0.754145i	0.969893	+	0.243533i	$0.0783065\pi$
$480$	0.0555949	−	0.956166i	0.00253755	−	0.0436428i
$481$	10.0352	+	7.29102i	0.457567	+	0.332442i
$482$	−5.05475			−0.230237
$483$	1.61273	+	1.17171i	0.0733816	+	0.0533148i
$484$	3.47240	−	10.6870i	0.157836	−	0.485771i
$485$	0.0720063	−	1.23842i	0.00326964	−	0.0562339i
$486$	3.28682	+	10.1158i	0.149093	+	0.458862i
$487$	−1.93827	+	5.96540i	−0.0878316	+	0.270318i	−0.985319	−	0.170722i	$-0.945390\pi$
$487$	−1.93827	+	5.96540i	−0.0878316	+	0.270318i	0.897488	+	0.441040i	$0.145390\pi$
$488$	−0.937445	+	2.88516i	−0.0424362	+	0.130605i
$489$	−0.958473	−	2.94988i	−0.0433437	−	0.133398i
$490$	10.4614	+	4.08453i	0.472596	+	0.184520i
$491$	1.18942	−	3.66066i	0.0536778	−	0.165203i	−0.920624	−	0.390451i	$-0.872319\pi$
$491$	1.18942	−	3.66066i	0.0536778	−	0.165203i	0.974302	+	0.225248i	$0.0723191\pi$
$492$	2.54011	+	1.84550i	0.114517	+	0.0832016i
$493$	−1.77722			−0.0800421
$494$	−0.976155	−	0.709218i	−0.0439193	−	0.0319092i
$495$	18.8216	−	22.9729i	0.845970	−	1.03256i
$496$	−3.56838	+	2.59258i	−0.160225	+	0.116410i
$497$	3.67972	−	2.67347i	0.165058	−	0.119922i
$498$	−1.63736	−	5.03926i	−0.0733716	−	0.225815i
$499$	35.3653			1.58317			0.791583	−	0.611061i	$-0.209257\pi$
$499$	35.3653			1.58317			0.791583	+	0.611061i	$0.209257\pi$
$500$	−11.0711	+	1.55931i	−0.495113	+	0.0697343i
$501$	−5.71360			−0.255265
$502$	−3.37370	−	10.3832i	−0.150576	−	0.463424i
$503$	13.1545	−	9.55727i	0.586528	−	0.426138i	−0.254544	−	0.967061i	$-0.581925\pi$
$503$	13.1545	−	9.55727i	0.586528	−	0.426138i	0.841072	+	0.540924i	$0.181925\pi$
$504$	3.20435	−	2.32809i	0.142733	−	0.103702i
$505$	8.12387	−	9.91567i	0.361507	−	0.441241i
$506$	12.6255	+	9.17298i	0.561273	+	0.407789i
$507$	−4.94473			−0.219603
$508$	−14.1181	−	10.2574i	−0.626389	−	0.455098i
$509$	−8.18317	+	25.1852i	−0.362712	+	1.11631i	0.588689	+	0.808360i	$0.299644\pi$
$509$	−8.18317	+	25.1852i	−0.362712	+	1.11631i	−0.951401	+	0.307954i	$0.900356\pi$
$510$	0.984904	+	0.384545i	0.0436123	+	0.0170280i
$511$	−1.53354	−	4.71977i	−0.0678400	−	0.208790i
$512$	0.309017	−	0.951057i	0.0136568	−	0.0420312i
$513$	−0.769888	+	2.36947i	−0.0339914	+	0.104615i
$514$	−4.37715	−	13.4715i	−0.193068	−	0.594201i
$515$	−0.696683	+	11.9821i	−0.0306995	+	0.527996i
$516$	−1.63537	+	5.03314i	−0.0719930	+	0.221572i
$517$	5.38285	+	3.91087i	0.236737	+	0.172000i
$518$	−14.4569			−0.635201
$519$	1.34078	+	0.974130i	0.0588535	+	0.0427596i
$520$	0.156608	−	2.69348i	0.00686773	−	0.118117i
$521$	−8.71039	+	6.32847i	−0.381609	+	0.277255i	−0.762008	−	0.647567i	$-0.775787\pi$
$521$	−8.71039	+	6.32847i	−0.381609	+	0.277255i	0.380399	+	0.924822i	$0.375787\pi$
$522$	3.66840	−	2.66525i	0.160562	−	0.116655i
$523$	−10.3517	−	31.8591i	−0.452646	−	1.39310i	−0.873876	−	0.486149i	$-0.838401\pi$
$523$	−10.3517	−	31.8591i	−0.452646	−	1.39310i	0.421230	−	0.906954i	$-0.361599\pi$
$524$	−2.13030			−0.0930624
$525$	2.21497	+	2.04072i	0.0966693	+	0.0890642i
$526$	−12.6672			−0.552318
$527$	−1.50464	−	4.63080i	−0.0655431	−	0.201721i
$528$	−1.63409	+	1.18724i	−0.0711147	+	0.0516679i
$529$	9.74673	−	7.08142i	0.423771	−	0.307888i
$530$	−20.2335	+	5.29773i	−0.878886	+	0.230119i
$531$	−0.441756	−	0.320955i	−0.0191706	−	0.0139282i
$532$	1.40627			0.0609693
$533$	7.15538	+	5.19869i	0.309934	+	0.225180i
$534$	−0.310759	+	0.956419i	−0.0134479	+	0.0413883i
$535$	−16.5723	+	20.2275i	−0.716483	+	0.874511i
$536$	−3.09206	−	9.51637i	−0.133557	−	0.411045i
$537$	1.51749	−	4.67035i	0.0654844	−	0.201540i
$538$	−6.64744	+	20.4587i	−0.286591	+	0.882038i
$539$	−7.31868	−	22.5246i	−0.315238	−	0.970202i
$540$	−5.38930	+	1.41108i	−0.231918	+	0.0607231i
$541$	−9.64354	+	29.6798i	−0.414608	+	1.27603i	0.497992	+	0.867181i	$0.334071\pi$
$541$	−9.64354	+	29.6798i	−0.414608	+	1.27603i	−0.912601	+	0.408852i	$0.865929\pi$
$542$	−6.63644	−	4.82166i	−0.285060	−	0.207108i
$543$	7.93613			0.340572
$544$	0.893089	+	0.648867i	0.0382909	+	0.0278200i
$545$	−6.80723	−	10.6146i	−0.291589	−	0.454679i
$546$	−0.587986	+	0.427197i	−0.0251635	+	0.0182824i
$547$	29.3785	−	21.3448i	1.25614	−	0.912636i	0.257575	−	0.966258i	$-0.417077\pi$
$547$	29.3785	−	21.3448i	1.25614	−	0.912636i	0.998561	+	0.0536223i	$0.0170767\pi$
$548$	1.42131	+	4.37435i	0.0607155	+	0.186863i
$549$	8.54433			0.364663
$550$	17.3403	+	15.9761i	0.739393	+	0.681224i
$551$	1.60992			0.0685850
$552$	−0.438044	−	1.34816i	−0.0186444	−	0.0573816i
$553$	4.62650	−	3.36135i	0.196739	−	0.142939i
$554$	3.03662	−	2.20624i	0.129014	−	0.0937340i
$555$	9.17203	+	3.58112i	0.389331	+	0.152010i
$556$	−5.04218	−	3.66336i	−0.213836	−	0.155361i
$557$	−25.0236			−1.06028			−0.530141	−	0.847909i	$-0.677861\pi$
$557$	−25.0236			−1.06028			−0.530141	+	0.847909i	$0.677861\pi$
$558$	10.0504	+	7.30207i	0.425469	+	0.309121i
$559$	−4.60675	+	14.1781i	−0.194845	+	0.599671i
$560$	1.69751	+	2.64695i	0.0717330	+	0.111854i
$561$	−0.689030	−	2.12062i	−0.0290909	−	0.0895325i
$562$	−1.74887	+	5.38248i	−0.0737717	+	0.227046i
$563$	5.36313	−	16.5060i	0.226029	−	0.695646i	−0.772157	−	0.635432i	$-0.780822\pi$
$563$	5.36313	−	16.5060i	0.226029	−	0.695646i	0.998186	−	0.0602133i	$-0.0191781\pi$
$564$	−0.186759	−	0.574784i	−0.00786396	−	0.0242028i
$565$	−11.1563	−	17.3961i	−0.469348	−	0.731860i
$566$	3.83119	−	11.7912i	0.161037	−	0.495620i
$567$	−8.39895	−	6.10219i	−0.352723	−	0.256268i
$568$	−3.23437			−0.135711
$569$	11.6108	+	8.43576i	0.486751	+	0.353646i	0.803934	−	0.594719i	$-0.202737\pi$
$569$	11.6108	+	8.43576i	0.486751	+	0.353646i	−0.317182	+	0.948365i	$0.602737\pi$
$570$	−0.892188	−	0.348346i	−0.0373697	−	0.0145906i
$571$	−19.8921	+	14.4524i	−0.832458	+	0.604816i	−0.920254	−	0.391323i	$-0.872018\pi$
$571$	−19.8921	+	14.4524i	−0.832458	+	0.604816i	0.0877959	+	0.996138i	$0.472018\pi$
$572$	−4.60316	+	3.34439i	−0.192468	+	0.139836i
$573$	−0.0700247	−	0.215514i	−0.00292532	−	0.00900322i
$574$	−10.3082			−0.430255
$575$	−14.4240	+	8.10917i	−0.601521	+	0.338176i
$576$	−2.81653			−0.117355
$577$	0.476144	+	1.46542i	0.0198221	+	0.0610063i	0.960478	−	0.278355i	$-0.0897891\pi$
$577$	0.476144	+	1.46542i	0.0198221	+	0.0610063i	−0.940656	+	0.339361i	$0.889789\pi$
$578$	12.7674	−	9.27605i	0.531053	−	0.385833i
$579$	−1.29806	+	0.943096i	−0.0539455	+	0.0391937i
$580$	1.94335	+	3.03029i	0.0806931	+	0.125826i
$581$	14.0736	+	10.2250i	0.583870	+	0.424206i
$582$	0.237628			0.00985001
$583$	35.6845	+	25.9263i	1.47790	+	1.07376i
$584$	−1.09051	+	3.35624i	−0.0451256	+	0.138882i
$585$	−7.35127	+	1.92478i	−0.303937	+	0.0795799i
$586$	7.04262	+	21.6750i	0.290928	+	0.895385i
$587$	7.97501	−	24.5446i	0.329164	−	1.01306i	−0.640362	−	0.768073i	$-0.721216\pi$
$587$	7.97501	−	24.5446i	0.329164	−	1.01306i	0.969526	−	0.244989i	$-0.0787844\pi$
$588$	−0.664778	+	2.04598i	−0.0274150	+	0.0843746i
$589$	1.36300	+	4.19488i	0.0561614	+	0.172847i
$590$	0.274736	−	0.335332i	0.0113107	−	0.0138054i
$591$	0.926231	−	2.85065i	0.0381000	−	0.117260i
$592$	8.31699	+	6.04265i	0.341826	+	0.248351i
$593$	−1.14100			−0.0468552			−0.0234276	−	0.999726i	$-0.507458\pi$
$593$	−1.14100			−0.0468552			−0.0234276	+	0.999726i	$0.507458\pi$
$594$	9.50474	+	6.90560i	0.389984	+	0.283340i
$595$	−3.35808	+	0.879245i	−0.137668	+	0.0360455i
$596$	−2.45503	+	1.78369i	−0.100562	+	0.0730627i
$597$	3.65059	−	2.65231i	0.149409	−	0.108552i
$598$	−1.23395	−	3.79771i	−0.0504600	−	0.155300i
$599$	9.23527			0.377343			0.188672	−	0.982040i	$-0.439582\pi$
$599$	9.23527			0.377343			0.188672	+	0.982040i	$0.439582\pi$
$600$	−0.421290	−	2.09982i	−0.0171991	−	0.0857247i
$601$	−26.1673			−1.06739			−0.533694	−	0.845678i	$-0.679196\pi$
$601$	−26.1673			−1.06739			−0.533694	+	0.845678i	$0.679196\pi$
$602$	−5.36909	−	16.5244i	−0.218828	−	0.673483i
$603$	−22.8001	+	16.5653i	−0.928493	+	0.674590i
$604$	1.23736	−	0.898998i	0.0503476	−	0.0365797i
$605$	1.45848	−	25.0842i	0.0592957	−	1.01982i
$606$	1.98653	+	1.44330i	0.0806974	+	0.0586301i
$607$	4.36046			0.176985			0.0884927	−	0.996077i	$-0.471795\pi$
$607$	4.36046			0.176985			0.0884927	+	0.996077i	$0.471795\pi$
$608$	−0.809017	−	0.587785i	−0.0328100	−	0.0238378i
$609$	0.299665	−	0.922274i	0.0121430	−	0.0373724i
$610$	−0.393747	+	6.77198i	−0.0159423	+	0.274190i
$611$	−0.526090	−	1.61914i	−0.0212833	−	0.0655034i
$612$	0.960803	−	2.95705i	0.0388381	−	0.119532i
$613$	−8.80739	+	27.1063i	−0.355727	+	1.09482i	0.599860	+	0.800105i	$0.295223\pi$
$613$	−8.80739	+	27.1063i	−0.355727	+	1.09482i	−0.955587	+	0.294710i	$0.904777\pi$
$614$	10.5103	+	32.3473i	0.424160	+	1.30543i
$615$	6.53990	+	2.55343i	0.263714	+	0.102964i
$616$	2.04921	−	6.30683i	0.0825651	−	0.254109i
$617$	−23.9726	−	17.4171i	−0.965101	−	0.701187i	−0.0107713	−	0.999942i	$-0.503429\pi$
$617$	−23.9726	−	17.4171i	−0.965101	−	0.701187i	−0.954330	+	0.298755i	$0.903429\pi$
$618$	−2.29913			−0.0924845
$619$	24.9101	+	18.0983i	1.00122	+	0.727430i	0.962350	−	0.271814i	$-0.0876236\pi$
$619$	24.9101	+	18.0983i	1.00122	+	0.727430i	0.0388719	+	0.999244i	$0.487624\pi$
$620$	−6.25055	+	7.62918i	−0.251028	+	0.306395i
$621$	−6.67048	+	4.84639i	−0.267677	+	0.194479i
$622$	−23.0183	+	16.7238i	−0.922951	+	0.670563i
$623$	−1.02026	−	3.14003i	−0.0408758	−	0.125803i
$624$	0.516824			0.0206895
$625$	−23.0652	+	9.64341i	−0.922609	+	0.385737i
$626$	12.5132			0.500129
$627$	0.624167	+	1.92099i	0.0249268	+	0.0767169i
$628$	−10.8901	+	7.91210i	−0.434561	+	0.315727i
$629$	−9.18129	+	6.67060i	−0.366082	+	0.265974i
$630$	5.61290	−	6.85088i	0.223623	−	0.272946i
$631$	−27.4247	−	19.9252i	−1.09176	−	0.793209i	−0.112063	−	0.993701i	$-0.535746\pi$
$631$	−27.4247	−	19.9252i	−1.09176	−	0.793209i	−0.979695	+	0.200492i	$0.935746\pi$
$632$	−4.06657			−0.161759
$633$	−8.69122	−	6.31454i	−0.345445	−	0.250980i
$634$	−5.44093	+	16.7455i	−0.216087	+	0.665047i
$635$	−36.3491	−	14.1921i	−1.44247	−	0.563197i
$636$	−1.23808	−	3.81041i	−0.0490930	−	0.151093i
$637$	−1.87265	+	5.76342i	−0.0741970	+	0.228355i
$638$	2.34598	−	7.22019i	0.0928783	−	0.285850i
$639$	2.81505	+	8.66384i	0.111362	+	0.342736i
$640$	0.129794	−	2.23230i	0.00513055	−	0.0882393i
$641$	7.90695	−	24.3351i	0.312306	−	0.961179i	−0.664543	−	0.747250i	$-0.731374\pi$
$641$	7.90695	−	24.3351i	0.312306	−	0.961179i	0.976849	−	0.213929i	$-0.0686261\pi$
$642$	−4.05244	−	2.94427i	−0.159937	−	0.116201i
$643$	6.32554			0.249455			0.124727	−	0.992191i	$-0.460194\pi$
$643$	6.32554			0.249455			0.124727	+	0.992191i	$0.460194\pi$
$644$	3.76512	+	2.73552i	0.148367	+	0.107795i
$645$	−0.686888	+	11.8137i	−0.0270462	+	0.465163i
$646$	0.893089	−	0.648867i	0.0351381	−	0.0255293i
$647$	30.1097	−	21.8760i	1.18374	−	0.860035i	0.191148	−	0.981561i	$-0.438779\pi$
$647$	30.1097	−	21.8760i	1.18374	−	0.860035i	0.992588	+	0.121526i	$0.0387789\pi$
$648$	2.28130	+	7.02112i	0.0896179	+	0.275816i
$649$	−0.914214			−0.0358860
$650$	−1.18676	−	5.91509i	−0.0465484	−	0.232009i
$651$	2.65682			0.104129
$652$	−2.23768	−	6.88688i	−0.0876344	−	0.269711i
$653$	−24.9719	+	18.1431i	−0.977226	+	0.709996i	−0.957087	−	0.289801i	$-0.906411\pi$
$653$	−24.9719	+	18.1431i	−0.977226	+	0.709996i	−0.0201388	+	0.999797i	$0.506411\pi$
$654$	1.95418	−	1.41979i	0.0764143	−	0.0555182i
$655$	−4.60815	+	1.20655i	−0.180055	+	0.0471438i
$656$	5.93023	+	4.30857i	0.231537	+	0.168221i
$657$	9.93943			0.387774
$658$	1.60525	+	1.16628i	0.0625791	+	0.0454663i
$659$	1.69761	−	5.22470i	0.0661294	−	0.203525i	−0.912532	−	0.409006i	$-0.865876\pi$
$659$	1.69761	−	5.22470i	0.0661294	−	0.203525i	0.978661	+	0.205480i	$0.0658756\pi$
$660$	−2.86236	+	3.49368i	−0.111417	+	0.135991i
$661$	15.5705	+	47.9210i	0.605621	+	1.86391i	0.492463	+	0.870333i	$0.336097\pi$
$661$	15.5705	+	47.9210i	0.605621	+	1.86391i	0.113158	+	0.993577i	$0.463903\pi$
$662$	−0.305141	+	0.939126i	−0.0118596	+	0.0365002i
$663$	−0.176304	+	0.542608i	−0.00684708	+	0.0210731i
$664$	−3.82262	−	11.7648i	−0.148347	−	0.456564i
$665$	3.04196	−	0.796476i	0.117962	−	0.0308860i
$666$	8.94758	−	27.5378i	0.346712	−	1.06707i
$667$	4.31039	+	3.13168i	0.166899	+	0.121259i
$668$	−13.3392			−0.516108
$669$	0.872308	+	0.633769i	0.0337254	+	0.0245029i
$670$	−12.0784	−	18.8341i	−0.466631	−	0.727624i
$671$	11.5733	−	8.40852i	0.446784	−	0.324607i
$672$	−0.487311	+	0.354052i	−0.0187984	+	0.0136579i
$673$	−0.140779	−	0.433273i	−0.00542663	−	0.0167015i	0.948307	−	0.317356i	$-0.102795\pi$
$673$	−0.140779	−	0.433273i	−0.00542663	−	0.0167015i	−0.953733	+	0.300654i	$0.902795\pi$
$674$	−20.3214			−0.782751
$675$	−10.8587	+	6.10474i	−0.417950	+	0.234972i
$676$	−11.5441			−0.444005
$677$	−12.4982	−	38.4654i	−0.480343	−	1.47835i	−0.838613	−	0.544727i	$-0.816633\pi$
$677$	−12.4982	−	38.4654i	−0.480343	−	1.47835i	0.358270	−	0.933618i	$-0.383367\pi$
$678$	3.20267	−	2.32688i	0.122998	−	0.0893632i
$679$	−0.631163	+	0.458567i	−0.0242218	+	0.0175982i
$680$	2.29939	+	0.897772i	0.0881776	+	0.0344280i
$681$	−4.15233	−	3.01685i	−0.159118	−	0.115606i
$682$	20.7994			0.796449
$683$	2.89561	+	2.10379i	0.110798	+	0.0804992i	0.641804	−	0.766868i	$-0.278186\pi$
$683$	2.89561	+	2.10379i	0.110798	+	0.0804992i	−0.531007	+	0.847368i	$0.678186\pi$
$684$	−0.870356	+	2.67868i	−0.0332789	+	0.102422i
$685$	5.55204	+	8.65738i	0.212133	+	0.330781i
$686$	−5.22446	−	16.0792i	−0.199471	−	0.613908i
$687$	−2.08659	+	6.42185i	−0.0796083	+	0.245009i
$688$	−3.81798	+	11.7505i	−0.145559	+	0.447985i
$689$	−3.48761	−	10.7337i	−0.132867	−	0.408923i
$690$	−1.71112	−	2.66818i	−0.0651413	−	0.101576i
$691$	5.59085	−	17.2069i	0.212686	−	0.654580i	−0.786624	−	0.617433i	$-0.788173\pi$
$691$	5.59085	−	17.2069i	0.212686	−	0.654580i	0.999310	−	0.0371476i	$-0.0118272\pi$
$692$	3.13022	+	2.27424i	0.118993	+	0.0864535i
$693$	−18.6775			−0.709500
$694$	0.894213	+	0.649684i	0.0339439	+	0.0246617i
$695$	−12.9818	−	5.06862i	−0.492429	−	0.192264i
$696$	−0.557884	+	0.405326i	−0.0211465	+	0.0153639i
$697$	−6.54650	+	4.75631i	−0.247966	+	0.180158i
$698$	−6.19919	−	19.0791i	−0.234643	−	0.722156i
$699$	11.0677			0.418619
$700$	5.17115	+	4.76433i	0.195451	+	0.180075i
$701$	26.6786			1.00764			0.503819	−	0.863809i	$-0.331928\pi$
$701$	26.6786			1.00764			0.503819	+	0.863809i	$0.331928\pi$
$702$	−0.928942	−	2.85899i	−0.0350607	−	0.107906i
$703$	8.31699	−	6.04265i	0.313681	−	0.227903i
$704$	−3.81500	+	2.77176i	−0.143783	+	0.104465i
$705$	−0.729531	−	1.13757i	−0.0274757	−	0.0428433i
$706$	25.1366	+	18.2628i	0.946029	+	0.687330i
$707$	−8.06166			−0.303190
$708$	0.0671814	+	0.0488102i	0.00252483	+	0.00183440i
$709$	0.822025	−	2.52993i	0.0308718	−	0.0950137i	−0.934433	−	0.356138i	$-0.884093\pi$
$709$	0.822025	−	2.52993i	0.0308718	−	0.0950137i	0.965305	+	0.261124i	$0.0840933\pi$
$710$	−6.99642	+	1.83187i	−0.262571	+	0.0687489i
$711$	3.53936	+	10.8930i	0.132736	+	0.408521i
$712$	−0.725509	+	2.23289i	−0.0271896	+	0.0836810i
$713$	−4.51076	+	13.8827i	−0.168929	+	0.519911i
$714$	−0.205479	−	0.632401i	−0.00768987	−	0.0236670i
$715$	−8.06314	+	9.84154i	−0.301544	+	0.368053i
$716$	3.54278	−	10.9035i	0.132400	−	0.407485i
$717$	−9.10512	−	6.61526i	−0.340037	−	0.247051i
$718$	24.4722			0.913294
$719$	19.6654	+	14.2878i	0.733397	+	0.532844i	0.890636	−	0.454717i	$-0.150259\pi$
$719$	19.6654	+	14.2878i	0.733397	+	0.532844i	−0.157240	+	0.987560i	$0.550259\pi$
$720$	−6.09258	+	1.59522i	−0.227057	+	0.0594503i
$721$	6.10670	−	4.43678i	0.227425	−	0.165234i
$722$	−0.809017	+	0.587785i	−0.0301085	+	0.0218751i
$723$	−0.669057	−	2.05915i	−0.0248825	−	0.0765805i
$724$	18.5280			0.688586
$725$	5.92004	+	5.45430i	0.219865	+	0.202568i
$726$	4.81314			0.178633
$727$	7.29254	+	22.4441i	0.270465	+	0.832406i	0.990384	+	0.138348i	$0.0441791\pi$
$727$	7.29254	+	22.4441i	0.270465	+	0.832406i	−0.719919	+	0.694059i	$0.755821\pi$
$728$	−1.37273	+	0.997349i	−0.0508769	+	0.0369642i
$729$	14.2318	−	10.3400i	0.527102	−	0.382962i
$730$	−0.458037	+	7.87769i	−0.0169527	+	0.291566i
$731$	−11.0343	−	8.01691i	−0.408120	−	0.296516i
$732$	−1.29941			−0.0480274
$733$	19.2656	+	13.9973i	0.711593	+	0.517002i	0.883687	−	0.468078i	$-0.155053\pi$
$733$	19.2656	+	13.9973i	0.711593	+	0.517002i	−0.172094	+	0.985080i	$0.555053\pi$
$734$	0.347448	−	1.06934i	0.0128245	−	0.0394699i
$735$	−0.279221	+	4.80227i	−0.0102992	+	0.177134i
$736$	−1.02267	−	3.14746i	−0.0376962	−	0.116017i
$737$	−14.5809	+	44.8755i	−0.537095	+	1.65301i
$738$	6.37986	−	19.6352i	0.234846	−	0.722781i
$739$	−7.47068	−	22.9924i	−0.274813	−	0.845788i	−0.989269	−	0.146107i	$-0.953326\pi$
$739$	−7.47068	−	22.9924i	−0.274813	−	0.845788i	0.714456	−	0.699681i	$-0.246674\pi$
$740$	21.4133	+	8.36060i	0.787169	+	0.307342i
$741$	0.159707	−	0.491529i	0.00586699	−	0.0180568i
$742$	10.6416	+	7.73161i	0.390667	+	0.283836i
$743$	39.2663			1.44054			0.720271	−	0.693692i	$-0.244017\pi$
$743$	39.2663			1.44054			0.720271	+	0.693692i	$0.244017\pi$
$744$	−1.52845	−	1.11049i	−0.0560358	−	0.0407124i
$745$	−4.30037	+	5.24886i	−0.157553	+	0.192303i
$746$	−7.40113	+	5.37724i	−0.270975	+	0.196875i
$747$	−28.1872	+	20.4792i	−1.03131	+	0.749294i
$748$	−1.60863	−	4.95086i	−0.0588175	−	0.181022i
$749$	16.4454			0.600902
$750$	−2.10060	−	4.30361i	−0.0767032	−	0.157146i
$751$	−10.5862			−0.386297			−0.193149	−	0.981169i	$-0.561870\pi$
$751$	−10.5862			−0.386297			−0.193149	+	0.981169i	$0.561870\pi$
$752$	−0.436013	−	1.34191i	−0.0158998	−	0.0489344i
$753$	3.78323	−	2.74868i	0.137869	−	0.100167i
$754$	−1.57153	+	1.14179i	−0.0572319	+	0.0415814i
$755$	2.16743	−	2.64548i	0.0788809	−	0.0962789i
$756$	2.83446	+	2.05936i	0.103088	+	0.0748980i
$757$	22.5983			0.821351			0.410675	−	0.911782i	$-0.365293\pi$
$757$	22.5983			0.821351			0.410675	+	0.911782i	$0.365293\pi$
$758$	−28.7547	−	20.8915i	−1.04442	−	0.758814i
$759$	−2.06564	+	6.35740i	−0.0749781	+	0.230759i
$760$	−2.08293	−	0.813259i	−0.0755559	−	0.0295000i
$761$	17.0136	+	52.3624i	0.616742	+	1.89814i	0.369843	+	0.929094i	$0.379412\pi$
$761$	17.0136	+	52.3624i	0.616742	+	1.89814i	0.246899	+	0.969041i	$0.420588\pi$
$762$	2.30984	−	7.10896i	0.0836767	−	0.257530i
$763$	−2.45061	+	7.54220i	−0.0887180	+	0.273046i
$764$	−0.163482	−	0.503146i	−0.00591457	−	0.0182032i
$765$	0.403557	−	6.94071i	0.0145906	−	0.250942i
$766$	−11.1485	+	34.3117i	−0.402813	+	1.23973i
$767$	0.189247	+	0.137496i	0.00683331	+	0.00496469i
$768$	0.428333			0.0154561
$769$	−39.1956	−	28.4773i	−1.41343	−	1.02692i	−0.992813	−	0.119679i	$-0.961814\pi$
$769$	−39.1956	−	28.4773i	−1.41343	−	1.02692i	−0.420617	−	0.907238i	$-0.638186\pi$
$770$	0.860713	−	14.8032i	0.0310179	−	0.533472i
$771$	4.90849	−	3.56622i	0.176775	−	0.128434i
$772$	−3.03049	+	2.20178i	−0.109070	+	0.0792439i
$773$	2.31680	+	7.13038i	0.0833296	+	0.256462i	0.984037	−	0.177964i	$-0.0569511\pi$
$773$	2.31680	+	7.13038i	0.0833296	+	0.256462i	−0.900707	+	0.434426i	$0.856951\pi$
$774$	34.7989			1.25082
$775$	−9.19990	+	20.0432i	−0.330470	+	0.719974i
$776$	0.554775			0.0199153
$777$	−1.91355	−	5.88930i	−0.0686482	−	0.211277i
$778$	26.1237	−	18.9800i	0.936581	−	0.680466i
$779$	5.93023	−	4.30857i	0.212473	−	0.154370i
$780$	1.11797	−	0.292717i	0.0400296	−	0.0104809i
$781$	12.3391	+	8.96490i	0.441529	+	0.320789i
$782$	3.65335			0.130644
$783$	3.24495	+	2.35759i	0.115965	+	0.0842535i
$784$	−1.55201	+	4.77660i	−0.0554290	+	0.170593i
$785$	−19.0756	+	23.2830i	−0.680839	+	0.831004i
$786$	−0.281970	−	0.867816i	−0.0100575	−	0.0309540i
$787$	−2.04430	+	6.29172i	−0.0728715	+	0.224276i	−0.980858	−	0.194724i	$-0.937619\pi$
$787$	−2.04430	+	6.29172i	−0.0728715	+	0.224276i	0.907987	+	0.418999i	$0.137619\pi$
$788$	2.16241	−	6.65521i	0.0770327	−	0.237082i
$789$	−1.67666	−	5.16023i	−0.0596907	−	0.183709i
$790$	−8.79659	+	2.30321i	−0.312969	+	0.0819445i
$791$	−4.01627	+	12.3608i	−0.142802	+	0.439500i
$792$	10.7451	+	7.80676i	0.381810	+	0.277401i
$793$	−3.66037			−0.129983
$794$	−9.76489	−	7.09461i	−0.346543	−	0.251778i
$795$	−4.83627	−	7.54127i	−0.171525	−	0.267461i
$796$	8.52279	−	6.19217i	0.302082	−	0.219476i
$797$	−19.7708	+	14.3643i	−0.700318	+	0.508811i	−0.880036	−	0.474907i	$-0.842482\pi$
$797$	−19.7708	+	14.3643i	−0.700318	+	0.508811i	0.179718	+	0.983718i	$0.442482\pi$
$798$	0.186136	+	0.572869i	0.00658915	+	0.0202793i
$799$	1.55759			0.0551037
$800$	−0.983559	−	4.90231i	−0.0347740	−	0.173323i
$801$	6.61264			0.233646
$802$	−11.0820	−	34.1068i	−0.391318	−	1.20435i
$803$	13.4630	−	9.78144i	0.475099	−	0.345180i
$804$	3.46740	−	2.51921i	0.122286	−	0.0888459i
$805$	9.69386	+	3.78487i	0.341664	+	0.133399i
$806$	−4.30558	−	3.12819i	−0.151658	−	0.110186i
$807$	−9.21411			−0.324352
$808$	4.63783	+	3.36958i	0.163158	+	0.118541i
$809$	14.0916	−	43.3694i	0.495433	−	1.52479i	−0.320848	−	0.947131i	$-0.603968\pi$
$809$	14.0916	−	43.3694i	0.495433	−	1.52479i	0.816281	−	0.577655i	$-0.196032\pi$
$810$	8.91139	+	13.8957i	0.313114	+	0.488244i
$811$	0.314854	+	0.969021i	0.0110560	+	0.0340269i	0.956432	−	0.291954i	$-0.0943054\pi$
$811$	0.314854	+	0.969021i	0.0110560	+	0.0340269i	−0.945376	+	0.325981i	$0.894305\pi$
$812$	0.699607	−	2.15317i	0.0245514	−	0.0755615i
$813$	1.08578	−	3.34168i	0.0380799	−	0.117198i
$814$	−14.9806	−	46.1055i	−0.525069	−	1.61600i
$815$	−8.74101	−	13.6300i	−0.306184	−	0.477438i
$816$	−0.146117	+	0.449702i	−0.00511512	+	0.0157427i
$817$	9.99560	+	7.26223i	0.349702	+	0.254073i
$818$	34.4404			1.20418
$819$	3.86634	+	2.80906i	0.135101	+	0.0981566i
$820$	15.2683	+	5.96133i	0.533191	+	0.208179i
$821$	34.2821	−	24.9074i	1.19645	−	0.869273i	0.202521	−	0.979278i	$-0.435087\pi$
$821$	34.2821	−	24.9074i	1.19645	−	0.869273i	0.993931	+	0.110005i	$0.0350866\pi$
$822$	−1.59385	+	1.15800i	−0.0555918	+	0.0403898i
$823$	0.0473729	+	0.145799i	0.00165132	+	0.00508223i	0.951879	−	0.306475i	$-0.0991495\pi$
$823$	0.0473729	+	0.145799i	0.00165132	+	0.00508223i	−0.950227	+	0.311557i	$0.899150\pi$
$824$	−5.36762			−0.186990
$825$	−4.21297	+	9.17853i	−0.146677	+	0.319556i
$826$	−0.272633			−0.00948610
$827$	3.81765	+	11.7495i	0.132753	+	0.408571i	0.995234	−	0.0975188i	$-0.0310906\pi$
$827$	3.81765	+	11.7495i	0.132753	+	0.408571i	−0.862481	+	0.506089i	$0.831091\pi$
$828$	−7.54096	+	5.47882i	−0.262066	+	0.190402i
$829$	37.8373	−	27.4904i	1.31415	−	0.954783i	0.314160	−	0.949370i	$-0.398277\pi$
$829$	37.8373	−	27.4904i	1.31415	−	0.954783i	0.999985	−	0.00541253i	$-0.00172287\pi$
$830$	−14.9322	−	23.2840i	−0.518305	−	0.808201i
$831$	1.30069	+	0.945003i	0.0451203	+	0.0327818i
$832$	1.20659			0.0418311
$833$	−4.48547	−	3.25888i	−0.155412	−	0.112914i
$834$	0.824945	−	2.53892i	0.0285655	−	0.0879156i
$835$	−28.8546	+	7.55499i	−0.998555	+	0.261451i
$836$	1.45720	+	4.48481i	0.0503984	+	0.155110i
$837$	−3.39579	+	10.4512i	−0.117376	+	0.361245i
$838$	−5.17921	+	15.9400i	−0.178913	+	0.550638i
$839$	7.37935	+	22.7113i	0.254764	+	0.784081i	0.993876	+	0.110500i	$0.0352451\pi$
$839$	7.37935	+	22.7113i	0.254764	+	0.784081i	−0.739113	+	0.673582i	$0.764755\pi$
$840$	−0.853600	+	1.04187i	−0.0294520	+	0.0359479i
$841$	−8.16057	+	25.1156i	−0.281399	+	0.866057i
$842$	22.8192	+	16.5791i	0.786400	+	0.571353i
$843$	−2.42414			−0.0834917
$844$	−20.2908	−	14.7421i	−0.698438	−	0.507445i
$845$	−24.9717	+	6.53833i	−0.859052	+	0.224925i
$846$	−3.21506	+	2.33588i	−0.110536	+	0.0803092i
$847$	−12.7842	+	9.28824i	−0.439269	+	0.319148i
$848$	−2.89046	−	8.89591i	−0.0992587	−	0.305487i
$849$	5.31046			0.182255
$850$	5.48240	+	0.639695i	0.188045	+	0.0219414i
$851$	34.0222			1.16627
$852$	−0.428108	−	1.31758i	−0.0146667	−	0.0451396i
$853$	5.37429	−	3.90465i	0.184012	−	0.133693i	−0.491966	−	0.870615i	$-0.663721\pi$
$853$	5.37429	−	3.90465i	0.184012	−	0.133693i	0.675978	+	0.736922i	$0.263721\pi$
$854$	3.45135	−	2.50755i	0.118103	−	0.0858066i
$855$	−0.365568	+	6.28734i	−0.0125022	+	0.215022i
$856$	−9.46095	−	6.87378i	−0.323369	−	0.234941i
$857$	−6.32104			−0.215923			−0.107961	−	0.994155i	$-0.534432\pi$
$857$	−6.32104			−0.215923			−0.107961	+	0.994155i	$0.534432\pi$
$858$	−1.97168	−	1.43251i	−0.0673122	−	0.0489052i
$859$	−11.5317	+	35.4908i	−0.393455	+	1.21093i	0.536703	+	0.843771i	$0.319670\pi$
$859$	−11.5317	+	35.4908i	−0.393455	+	1.21093i	−0.930158	+	0.367159i	$0.880330\pi$
$860$	−1.60363	+	27.5806i	−0.0546834	+	0.940490i
$861$	−1.36441	−	4.19923i	−0.0464990	−	0.143109i
$862$	10.4455	−	32.1479i	0.355775	−	1.09496i
$863$	−9.44108	+	29.0567i	−0.321378	+	0.989101i	0.651671	+	0.758502i	$0.274068\pi$
$863$	−9.44108	+	29.0567i	−0.321378	+	0.989101i	−0.973049	+	0.230599i	$0.925932\pi$
$864$	−0.769888	−	2.36947i	−0.0261921	−	0.0806111i
$865$	8.05921	+	3.14663i	0.274021	+	0.106989i
$866$	3.83283	−	11.7962i	0.130245	−	0.400852i
$867$	5.46869	+	3.97324i	0.185727	+	0.134938i
$868$	6.20269			0.210533
$869$	15.5140	+	11.2716i	0.526275	+	0.382361i
$870$	−0.977219	+	1.19275i	−0.0331308	+	0.0404381i
$871$	9.76751	−	7.09651i	0.330959	−	0.240456i
$872$	4.56228	−	3.31469i	0.154498	−	0.112250i
$873$	−0.482852	−	1.48606i	−0.0163420	−	0.0502957i
$874$	−3.30944			−0.111943
$875$	13.8844	+	7.37713i	0.469377	+	0.249393i
$876$	−1.51157			−0.0510712
$877$	−2.26268	−	6.96382i	−0.0764054	−	0.235152i	0.905558	−	0.424222i	$-0.139452\pi$
$877$	−2.26268	−	6.96382i	−0.0764054	−	0.235152i	−0.981963	+	0.189071i	$0.939452\pi$
$878$	5.61632	−	4.08050i	0.189542	−	0.137710i
$879$	−7.89753	+	5.73789i	−0.266377	+	0.193534i
$880$	−6.68256	+	8.15647i	−0.225269	+	0.274954i
$881$	40.2153	+	29.2181i	1.35489	+	0.984384i	0.998752	+	0.0499496i	$0.0159061\pi$
$881$	40.2153	+	29.2181i	1.35489	+	0.984384i	0.356136	+	0.934434i	$0.384094\pi$
$882$	14.1458			0.476314
$883$	32.7985	+	23.8295i	1.10376	+	0.801927i	0.981669	−	0.190592i	$-0.0610408\pi$
$883$	32.7985	+	23.8295i	1.10376	+	0.801927i	0.122089	+	0.992519i	$0.461041\pi$
$884$	−0.411605	+	1.26679i	−0.0138438	+	0.0426068i
$885$	0.172968	+	0.0675337i	0.00581427	+	0.00227012i
$886$	6.96876	+	21.4476i	0.234120	+	0.720547i
$887$	8.36343	−	25.7400i	0.280816	−	0.864264i	−0.706805	−	0.707408i	$-0.749864\pi$
$887$	8.36343	−	25.7400i	0.280816	−	0.864264i	0.987622	−	0.156856i	$-0.0501358\pi$
$888$	−1.36073	+	4.18790i	−0.0456632	+	0.140537i
$889$	7.58347	+	23.3395i	0.254341	+	0.782782i
$890$	−0.304729	+	5.24098i	−0.0102145	+	0.175678i
$891$	10.7577	−	33.1088i	0.360397	−	1.10919i
$892$	2.03652	+	1.47962i	0.0681877	+	0.0495413i
$893$	−1.41097			−0.0472162
$894$	−1.05157	−	0.764012i	−0.0351698	−	0.0255524i
$895$	1.48804	−	25.5926i	0.0497397	−	0.855465i
$896$	−1.13769	+	0.826582i	−0.0380076	+	0.0276142i
$897$	1.38374	−	1.00535i	0.0462017	−	0.0335675i
$898$	−5.08226	−	15.6416i	−0.169597	−	0.521966i
$899$	7.10097			0.236831
$900$	−12.2757	+	6.90139i	−0.409189	+	0.230046i
$901$	10.3257			0.344000
$902$	−10.6815	−	32.8744i	−0.355656	−	1.09460i
$903$	6.02085	−	4.37440i	0.200361	−	0.145571i
$904$	7.47706	−	5.43240i	0.248683	−	0.180679i
$905$	40.0787	−	10.4938i	1.33226	−	0.348826i
$906$	0.530004	+	0.385070i	0.0176082	+	0.0127931i
$907$	−11.1922			−0.371631			−0.185815	−	0.982585i	$-0.559493\pi$
$907$	−11.1922			−0.371631			−0.185815	+	0.982585i	$0.559493\pi$
$908$	−9.69418	−	7.04323i	−0.321713	−	0.233738i
$909$	4.98946	−	15.3560i	0.165490	−	0.509326i
$910$	−2.40455	+	2.93490i	−0.0797101	+	0.0972909i
$911$	10.5431	+	32.4484i	0.349309	+	1.07506i	0.959236	+	0.282605i	$0.0911986\pi$
$911$	10.5431	+	32.4484i	0.349309	+	1.07506i	−0.609927	+	0.792457i	$0.708801\pi$
$912$	0.132362	−	0.407369i	0.00438295	−	0.0134893i
$913$	−18.0260	+	55.4783i	−0.596573	+	1.83606i
$914$	−8.46438	−	26.0507i	−0.279977	−	0.861680i
$915$	−2.81081	+	0.735954i	−0.0929225	+	0.0243299i
$916$	−4.87142	+	14.9927i	−0.160956	+	0.495372i
$917$	2.42362	+	1.76086i	0.0800350	+	0.0581488i
$918$	2.75032			0.0907740
$919$	−37.2807	−	27.0860i	−1.22978	−	0.893486i	−0.232904	−	0.972500i	$-0.574823\pi$
$919$	−37.2807	−	27.0860i	−1.22978	−	0.893486i	−0.996874	+	0.0790139i	$0.974823\pi$
$920$	−3.99484	−	6.22921i	−0.131706	−	0.205371i
$921$	−11.7861	+	8.56312i	−0.388366	+	0.282164i
$922$	−27.0030	+	19.6188i	−0.889297	+	0.646112i
$923$	−1.20596	−	3.71156i	−0.0396946	−	0.122168i
$924$	2.84044			0.0934437
$925$	51.0555	+	5.95723i	1.67869	+	0.195873i
$926$	9.12576			0.299891
$927$	4.67174	+	14.3781i	0.153440	+	0.472240i
$928$	−1.30245	+	0.946288i	−0.0427552	+	0.0310634i
$929$	−36.0132	+	26.1651i	−1.18156	+	0.858451i	−0.992346	−	0.123486i	$-0.960593\pi$
$929$	−36.0132	+	26.1651i	−1.18156	+	0.858451i	−0.189210	+	0.981937i	$0.560593\pi$
$930$	−3.93522	−	1.53647i	−0.129041	−	0.0503827i
$931$	4.06322	+	2.95210i	0.133167	+	0.0967513i
$932$	25.8390			0.846386
$933$	−9.85951	−	7.16335i	−0.322786	−	0.234518i
$934$	1.33974	−	4.12330i	0.0438377	−	0.134919i
$935$	−6.28377	−	9.79837i	−0.205501	−	0.320441i
$936$	−1.05017	−	3.23208i	−0.0343258	−	0.105644i
$937$	−6.27724	+	19.3193i	−0.205068	+	0.631136i	0.794642	+	0.607078i	$0.207658\pi$
$937$	−6.27724	+	19.3193i	−0.205068	+	0.631136i	−0.999711	+	0.0240575i	$0.992342\pi$
$938$	−4.34825	+	13.3825i	−0.141976	+	0.436956i
$939$	1.65628	+	5.09750i	0.0540506	+	0.166350i
$940$	−1.70319	−	2.65580i	−0.0555519	−	0.0866228i
$941$	11.9253	−	36.7024i	0.388755	−	1.19647i	−0.544964	−	0.838459i	$-0.683457\pi$
$941$	11.9253	−	36.7024i	0.388755	−	1.19647i	0.933719	−	0.358006i	$-0.116543\pi$
$942$	−4.66458	−	3.38901i	−0.151980	−	0.110420i
$943$	24.2588			0.789974
$944$	0.156844	+	0.113954i	0.00510484	+	0.00370888i
$945$	7.29773	+	2.84932i	0.237395	+	0.0926885i
$946$	47.1353	−	34.2458i	1.53250	−	1.11343i
$947$	−19.5588	+	14.2103i	−0.635576	+	0.461773i	−0.858328	−	0.513102i	$-0.828496\pi$
$947$	−19.5588	+	14.2103i	−0.635576	+	0.461773i	0.222751	+	0.974875i	$0.428496\pi$
$948$	−0.538259	−	1.65659i	−0.0174819	−	0.0538036i
$949$	−4.25802			−0.138221
$950$	−4.96631	−	0.579476i	−0.161128	−	0.0188007i
$951$	−7.54175			−0.244558
$952$	−0.479719	−	1.47642i	−0.0155478	−	0.0478512i
$953$	19.4484	−	14.1301i	0.629996	−	0.457719i	−0.226403	−	0.974034i	$-0.572697\pi$
$953$	19.4484	−	14.1301i	0.629996	−	0.457719i	0.856399	+	0.516315i	$0.172697\pi$
$954$	−21.3136	+	15.4852i	−0.690052	+	0.501352i
$955$	−0.638606	−	0.995787i	−0.0206648	−	0.0322229i
$956$	−21.2571	−	15.4442i	−0.687504	−	0.499501i
$957$	3.25180			0.105116
$958$	22.7176	+	16.5053i	0.733971	+	0.533261i
$959$	1.99874	−	6.15150i	0.0645428	−	0.198642i
$960$	0.926548	−	0.242598i	0.0299042	−	0.00782981i
$961$	−3.56768	−	10.9802i	−0.115086	−	0.354199i
$962$	−3.83312	+	11.7971i	−0.123585	+	0.380355i
$963$	−10.1783	+	31.3255i	−0.327990	+	1.00945i
$964$	−1.56200	−	4.80735i	−0.0503087	−	0.154834i
$965$	−5.30837	+	6.47919i	−0.170883	+	0.208572i
$966$	−0.616006	+	1.89587i	−0.0198197	+	0.0609987i
$967$	−30.3671	−	22.0630i	−0.976540	−	0.709498i	−0.0196077	−	0.999808i	$-0.506242\pi$
$967$	−30.3671	−	22.0630i	−0.976540	−	0.709498i	−0.956933	+	0.290310i	$0.906242\pi$
$968$	11.2369			0.361169
$969$	0.382539	+	0.277931i	0.0122889	+	0.00892844i
$970$	1.20006	−	0.314212i	0.0385316	−	0.0100887i
$971$	40.7434	−	29.6018i	1.30752	−	0.949968i	0.307520	−	0.951542i	$-0.400501\pi$
$971$	40.7434	−	29.6018i	1.30752	−	0.949968i	0.999999	+	0.00157365i	$0.000500910\pi$
$972$	−8.60501	+	6.25190i	−0.276006	+	0.200530i
$973$	2.70839	+	8.33556i	0.0868269	+	0.267226i
$974$	−6.27239			−0.200980
$975$	2.25254	−	1.26638i	0.0721391	−	0.0405567i
$976$	−3.03364			−0.0971044
$977$	8.95315	+	27.5550i	0.286437	+	0.881561i	0.985964	+	0.166956i	$0.0533937\pi$
$977$	8.95315	+	27.5550i	0.286437	+	0.881561i	−0.699528	+	0.714605i	$0.746606\pi$
$978$	2.50932	−	1.82312i	0.0802391	−	0.0582971i
$979$	8.95685	−	6.50753i	0.286262	−	0.207982i
$980$	−0.651878	+	11.2115i	−0.0208235	+	0.358139i
$981$	−12.8498	−	9.33593i	−0.410263	−	0.298073i
$982$	3.84905			0.122828
$983$	37.9259	+	27.5548i	1.20965	+	0.878860i	0.995199	−	0.0978748i	$-0.0312045\pi$
$983$	37.9259	+	27.5548i	1.20965	+	0.878860i	0.214449	+	0.976735i	$0.431204\pi$
$984$	−0.970237	+	2.98608i	−0.0309300	+	0.0951929i
$985$	0.908258	−	15.6210i	0.0289395	−	0.497725i
$986$	−0.549192	−	1.69024i	−0.0174898	−	0.0538282i
$987$	−0.262632	+	0.808299i	−0.00835968	+	0.0257284i
$988$	0.372858	−	1.14754i	0.0118622	−	0.0365081i
$989$	12.6354	+	38.8877i	0.401781	+	1.23656i
$990$	27.6648	+	10.8014i	0.879244	+	0.343292i
$991$	−3.39881	+	10.4605i	−0.107967	+	0.332288i	−0.990415	−	0.138121i	$-0.955894\pi$
$991$	−3.39881	+	10.4605i	−0.107967	+	0.332288i	0.882449	+	0.470409i	$0.155894\pi$
$992$	−3.56838	−	2.59258i	−0.113296	−	0.0823144i
$993$	−0.422960			−0.0134222
$994$	3.67972	+	2.67347i	0.116714	+	0.0847973i
$995$	14.9290	−	18.2217i	0.473280	−	0.577667i
$996$	4.28665	−	3.11443i	0.135828	−	0.0986846i
$997$	49.3992	−	35.8906i	1.56449	−	1.13667i	0.632281	−	0.774739i	$-0.282119\pi$
$997$	49.3992	−	35.8906i	1.56449	−	1.13667i	0.932206	−	0.361927i	$-0.117881\pi$
$998$	10.9285	+	33.6344i	0.345935	+	1.06468i
$999$	25.6126			0.810348

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	950.2.h.b.381.4	✓	40
25.21	even	5	inner	950.2.h.b.571.4	yes	40

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
950.2.h.b.381.4	✓	40	1.1	even	1	trivial
950.2.h.b.571.4	yes	40	25.21	even	5	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:	\( N \)	\(=\)	\( 950 = 2 \cdot 5^{2} \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	950.h (of order \(5\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.309017 + 0.951057i) q^{2} +(-0.346529 + 0.251768i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-1.41712 + 1.72968i) q^{5} +(-0.346529 - 0.251768i) q^{6} +1.40627 q^{7} +(-0.809017 - 0.587785i) q^{8} +(-0.870356 + 2.67868i) q^{9} +O(q^{10})\)	\(q+(0.309017 + 0.951057i) q^{2} +(-0.346529 + 0.251768i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-1.41712 + 1.72968i) q^{5} +(-0.346529 - 0.251768i) q^{6} +1.40627 q^{7} +(-0.809017 - 0.587785i) q^{8} +(-0.870356 + 2.67868i) q^{9} +(-2.08293 - 0.813259i) q^{10} +(1.45720 + 4.48481i) q^{11} +(0.132362 - 0.407369i) q^{12} +(0.372858 - 1.14754i) q^{13} +(0.434560 + 1.33744i) q^{14} +(0.0555949 - 0.956166i) q^{15} +(0.309017 - 0.951057i) q^{16} +(0.893089 + 0.648867i) q^{17} -2.81653 q^{18} +(-0.809017 - 0.587785i) q^{19} +(0.129794 - 2.23230i) q^{20} +(-0.487311 + 0.354052i) q^{21} +(-3.81500 + 2.77176i) q^{22} +(-1.02267 - 3.14746i) q^{23} +0.428333 q^{24} +(-0.983559 - 4.90231i) q^{25} +1.20659 q^{26} +(-0.769888 - 2.36947i) q^{27} +(-1.13769 + 0.826582i) q^{28} +(-1.30245 + 0.946288i) q^{29} +(0.926548 - 0.242598i) q^{30} +(-3.56838 - 2.59258i) q^{31} +1.00000 q^{32} +(-1.63409 - 1.18724i) q^{33} +(-0.341130 + 1.04989i) q^{34} +(-1.99284 + 2.43238i) q^{35} +(-0.870356 - 2.67868i) q^{36} +(-3.17681 + 9.77721i) q^{37} +(0.309017 - 0.951057i) q^{38} +(0.159707 + 0.491529i) q^{39} +(2.16315 - 0.566377i) q^{40} +(-2.26515 + 6.97141i) q^{41} +(-0.487311 - 0.354052i) q^{42} -12.3552 q^{43} +(-3.81500 - 2.77176i) q^{44} +(-3.39985 - 5.30144i) q^{45} +(2.67739 - 1.94524i) q^{46} +(1.14150 - 0.829346i) q^{47} +(0.132362 + 0.407369i) q^{48} -5.02242 q^{49} +(4.35843 - 2.45032i) q^{50} -0.472845 q^{51} +(0.372858 + 1.14754i) q^{52} +(7.56731 - 5.49797i) q^{53} +(2.01559 - 1.46441i) q^{54} +(-9.82229 - 3.83501i) q^{55} +(-1.13769 - 0.826582i) q^{56} +0.428333 q^{57} +(-1.30245 - 0.946288i) q^{58} +(-0.0599091 + 0.184381i) q^{59} +(0.517043 + 0.806233i) q^{60} +(-0.937445 - 2.88516i) q^{61} +(1.36300 - 4.19488i) q^{62} +(-1.22395 + 3.76694i) q^{63} +(0.309017 + 0.951057i) q^{64} +(1.45649 + 2.27112i) q^{65} +(0.624167 - 1.92099i) q^{66} +(8.09511 + 5.88144i) q^{67} -1.10392 q^{68} +(1.14681 + 0.833209i) q^{69} +(-2.92916 - 1.14366i) q^{70} +(2.61666 - 1.90111i) q^{71} +(2.27862 - 1.65552i) q^{72} +(-1.09051 - 3.35624i) q^{73} -10.2804 q^{74} +(1.57507 + 1.45116i) q^{75} +1.00000 q^{76} +(2.04921 + 6.30683i) q^{77} +(-0.418119 + 0.303781i) q^{78} +(3.28992 - 2.39027i) q^{79} +(1.20711 + 1.88226i) q^{80} +(-5.97252 - 4.33929i) q^{81} -7.33017 q^{82} +(10.0078 + 7.27106i) q^{83} +(0.186136 - 0.572869i) q^{84} +(-2.38794 + 0.625234i) q^{85} +(-3.81798 - 11.7505i) q^{86} +(0.213093 - 0.655832i) q^{87} +(1.45720 - 4.48481i) q^{88} +(-0.725509 - 2.23289i) q^{89} +(3.99135 - 4.87169i) q^{90} +(0.524337 - 1.61374i) q^{91} +(2.67739 + 1.94524i) q^{92} +1.88927 q^{93} +(1.14150 + 0.829346i) q^{94} +(2.16315 - 0.566377i) q^{95} +(-0.346529 + 0.251768i) q^{96} +(-0.448822 + 0.326088i) q^{97} +(-1.55201 - 4.77660i) q^{98} -13.2816 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 40 q - 10 q^{2} + 5 q^{3} - 10 q^{4} + 5 q^{6} - 12 q^{7} - 10 q^{8} - 3 q^{9}+O(q^{10}) \) 40 * q - 10 * q^2 + 5 * q^3 - 10 * q^4 + 5 * q^6 - 12 * q^7 - 10 * q^8 - 3 * q^9	\( 40 q - 10 q^{2} + 5 q^{3} - 10 q^{4} + 5 q^{6} - 12 q^{7} - 10 q^{8} - 3 q^{9} - 6 q^{11} + 16 q^{13} - 2 q^{14} + 16 q^{15} - 10 q^{16} - 2 q^{17} + 22 q^{18} - 10 q^{19} - 5 q^{20} + 3 q^{21} + 14 q^{22} + 4 q^{23} - 10 q^{24} - 2 q^{25} - 34 q^{26} + 29 q^{27} + 8 q^{28} + 16 q^{30} + 19 q^{31} + 40 q^{32} - 16 q^{33} + 3 q^{34} - 24 q^{35} - 3 q^{36} + q^{37} - 10 q^{38} - 7 q^{39} + 5 q^{40} + 20 q^{41} + 3 q^{42} - 48 q^{43} + 14 q^{44} + 53 q^{45} + 4 q^{46} + 29 q^{47} + 28 q^{49} + 3 q^{50} - 122 q^{51} + 16 q^{52} - 5 q^{53} - 6 q^{54} + 56 q^{55} + 8 q^{56} - 10 q^{57} + 20 q^{59} - 19 q^{60} + 42 q^{61} - 21 q^{62} + 9 q^{63} - 10 q^{64} + 35 q^{65} + 24 q^{66} - 3 q^{67} - 2 q^{68} - 9 q^{69} - 19 q^{70} + 18 q^{71} - 8 q^{72} + 8 q^{73} - 64 q^{74} + 7 q^{75} + 40 q^{76} + 35 q^{77} - 2 q^{78} + q^{79} + 59 q^{81} - 30 q^{82} + 11 q^{83} - 7 q^{84} - 125 q^{85} + 32 q^{86} - 31 q^{87} - 6 q^{88} - 34 q^{89} - 7 q^{90} + 10 q^{91} + 4 q^{92} + 24 q^{93} + 29 q^{94} + 5 q^{95} + 5 q^{96} + 90 q^{97} - 12 q^{98} + 10 q^{99}+O(q^{100}) \) 40 * q - 10 * q^2 + 5 * q^3 - 10 * q^4 + 5 * q^6 - 12 * q^7 - 10 * q^8 - 3 * q^9 - 6 * q^11 + 16 * q^13 - 2 * q^14 + 16 * q^15 - 10 * q^16 - 2 * q^17 + 22 * q^18 - 10 * q^19 - 5 * q^20 + 3 * q^21 + 14 * q^22 + 4 * q^23 - 10 * q^24 - 2 * q^25 - 34 * q^26 + 29 * q^27 + 8 * q^28 + 16 * q^30 + 19 * q^31 + 40 * q^32 - 16 * q^33 + 3 * q^34 - 24 * q^35 - 3 * q^36 + q^37 - 10 * q^38 - 7 * q^39 + 5 * q^40 + 20 * q^41 + 3 * q^42 - 48 * q^43 + 14 * q^44 + 53 * q^45 + 4 * q^46 + 29 * q^47 + 28 * q^49 + 3 * q^50 - 122 * q^51 + 16 * q^52 - 5 * q^53 - 6 * q^54 + 56 * q^55 + 8 * q^56 - 10 * q^57 + 20 * q^59 - 19 * q^60 + 42 * q^61 - 21 * q^62 + 9 * q^63 - 10 * q^64 + 35 * q^65 + 24 * q^66 - 3 * q^67 - 2 * q^68 - 9 * q^69 - 19 * q^70 + 18 * q^71 - 8 * q^72 + 8 * q^73 - 64 * q^74 + 7 * q^75 + 40 * q^76 + 35 * q^77 - 2 * q^78 + q^79 + 59 * q^81 - 30 * q^82 + 11 * q^83 - 7 * q^84 - 125 * q^85 + 32 * q^86 - 31 * q^87 - 6 * q^88 - 34 * q^89 - 7 * q^90 + 10 * q^91 + 4 * q^92 + 24 * q^93 + 29 * q^94 + 5 * q^95 + 5 * q^96 + 90 * q^97 - 12 * q^98 + 10 * q^99

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