LMFDB - Embedded newform 340.2.s.c.183.10

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [340,2,Mod(183,340)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(340, base_ring=CyclotomicField(4)) chi = DirichletCharacter(H, H._module([2, 3, 1])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("340.183"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 340 = 2^{2} \cdot 5 \cdot 17 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	340.s (of order $4$, degree $2$, minimal)

Newform invariants

comment:select newform

sage:traces = [96,4,0,0,-8] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(5)] == traces)

gp:f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$2.71491366872$
Analytic rank:	$0$
Dimension:	$96$
Relative dimension:	$48$ over $\Q(i)$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label			183.10
Character	$\chi$	$=$	340.183
Dual form			340.2.s.c.327.10

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.17399 - 0.788511i) q^{2} -2.30159 q^{3} +(0.756500 + 1.85141i) q^{4} +(-2.13907 - 0.651458i) q^{5} +(2.70204 + 1.81483i) q^{6} -3.97452 q^{7} +(0.571733 - 2.77004i) q^{8} +2.29731 q^{9} +(1.99756 + 2.45148i) q^{10} +(-0.316459 - 0.316459i) q^{11} +(-1.74115 - 4.26118i) q^{12} +(1.77966 + 1.77966i) q^{13} +(4.66604 + 3.13395i) q^{14} +(4.92325 + 1.49939i) q^{15} +(-2.85542 + 2.80118i) q^{16} +(2.50362 - 3.27595i) q^{17} +(-2.69702 - 1.81145i) q^{18} +2.82964i q^{19} +(-0.412089 - 4.45311i) q^{20} +9.14770 q^{21} +(0.121988 + 0.621051i) q^{22} +0.996717i q^{23} +(-1.31589 + 6.37549i) q^{24} +(4.15120 + 2.78702i) q^{25} +(-0.686018 - 3.49258i) q^{26} +1.61730 q^{27} +(-3.00672 - 7.35845i) q^{28} +(-0.0246430 + 0.0246430i) q^{29} +(-4.59755 - 5.64230i) q^{30} +(3.68484 - 3.68484i) q^{31} +(5.56099 - 1.03702i) q^{32} +(0.728359 + 0.728359i) q^{33} +(-5.52235 + 1.87180i) q^{34} +(8.50175 + 2.58923i) q^{35} +(1.73791 + 4.25325i) q^{36} -1.58941 q^{37} +(2.23120 - 3.32196i) q^{38} +(-4.09604 - 4.09604i) q^{39} +(-3.02754 + 5.55284i) q^{40} +(6.11435 - 6.11435i) q^{41} +(-10.7393 - 7.21307i) q^{42} +(-4.17559 - 4.17559i) q^{43} +(0.346494 - 0.825296i) q^{44} +(-4.91410 - 1.49660i) q^{45} +(0.785922 - 1.17013i) q^{46} +(6.91175 + 6.91175i) q^{47} +(6.57199 - 6.44716i) q^{48} +8.79678 q^{49} +(-2.67587 - 6.54521i) q^{50} +(-5.76231 + 7.53989i) q^{51} +(-1.94856 + 4.64118i) q^{52} +(-9.08331 + 9.08331i) q^{53} +(-1.89870 - 1.27526i) q^{54} +(0.470767 + 0.883087i) q^{55} +(-2.27236 + 11.0096i) q^{56} -6.51266i q^{57} +(0.0483618 - 0.00949931i) q^{58} -4.28205i q^{59} +(0.948458 + 10.2492i) q^{60} +(-9.74339 + 9.74339i) q^{61} +(-7.23150 + 1.42042i) q^{62} -9.13069 q^{63} +(-7.34624 - 3.16745i) q^{64} +(-2.64743 - 4.96617i) q^{65} +(-0.280766 - 1.42940i) q^{66} +(5.61205 + 5.61205i) q^{67} +(7.95911 + 2.15697i) q^{68} -2.29403i q^{69} +(-7.93932 - 9.74346i) q^{70} +(10.5354 - 10.5354i) q^{71} +(1.31345 - 6.36364i) q^{72} +6.55715i q^{73} +(1.86595 + 1.25327i) q^{74} +(-9.55436 - 6.41458i) q^{75} +(-5.23881 + 2.14062i) q^{76} +(1.25777 + 1.25777i) q^{77} +(1.57893 + 8.03847i) q^{78} +(-9.90208 + 9.90208i) q^{79} +(7.93277 - 4.13172i) q^{80} -10.6143 q^{81} +(-11.9994 + 2.35694i) q^{82} +(5.59012 + 5.59012i) q^{83} +(6.92024 + 16.9361i) q^{84} +(-7.48956 + 5.37647i) q^{85} +(1.60960 + 8.19460i) q^{86} +(0.0567180 - 0.0567180i) q^{87} +(-1.05754 + 0.695675i) q^{88} +2.62516i q^{89} +(4.58901 + 5.63181i) q^{90} +(-7.07327 - 7.07327i) q^{91} +(-1.84533 + 0.754016i) q^{92} +(-8.48099 + 8.48099i) q^{93} +(-2.66433 - 13.5643i) q^{94} +(1.84339 - 6.05278i) q^{95} +(-12.7991 + 2.38680i) q^{96} +11.6243 q^{97} +(-10.3273 - 6.93636i) q^{98} +(-0.727005 - 0.727005i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 96 q + 4 q^{2} - 8 q^{5} - 8 q^{8} + 96 q^{9} - 10 q^{10} - 16 q^{12} - 8 q^{13} - 16 q^{14} - 8 q^{17} - 24 q^{18} + 18 q^{20} - 16 q^{21} - 12 q^{22} - 8 q^{24} - 52 q^{28} - 8 q^{29} - 24 q^{30} - 36 q^{32}+ \cdots - 12 q^{98}+O(q^{100}) $ 96 * q + 4 * q^2 - 8 * q^5 - 8 * q^8 + 96 * q^9 - 10 * q^10 - 16 * q^12 - 8 * q^13 - 16 * q^14 - 8 * q^17 - 24 * q^18 + 18 * q^20 - 16 * q^21 - 12 * q^22 - 8 * q^24 - 52 * q^28 - 8 * q^29 - 24 * q^30 - 36 * q^32 - 8 * q^33 - 16 * q^34 - 16 * q^37 + 4 * q^38 - 10 * q^40 + 8 * q^41 - 16 * q^42 + 8 * q^44 - 40 * q^45 - 24 * q^46 + 80 * q^49 - 24 * q^50 + 12 * q^52 - 4 * q^54 - 12 * q^56 - 32 * q^60 + 48 * q^61 - 40 * q^65 + 52 * q^68 - 28 * q^70 + 8 * q^72 + 20 * q^74 - 56 * q^77 + 20 * q^78 + 22 * q^80 - 16 * q^81 + 12 * q^82 - 32 * q^85 + 8 * q^86 + 22 * q^90 - 24 * q^93 + 112 * q^94 + 40 * q^96 + 64 * q^97 - 12 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/340\mathbb{Z}\right)^\times$.

$n$	$137$	$171$	$241$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$-1$	$e\left(\frac{1}{4}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−1.17399	−	0.788511i	−0.830136	−	0.557562i
$2$	−1.17399	−	0.788511i	−0.830136	−	0.557562i
$3$	−2.30159			−1.32882			−0.664411	−	0.747367i	$-0.731318\pi$
$3$	−2.30159			−1.32882			−0.664411	+	0.747367i	$0.731318\pi$
$4$	0.756500	+	1.85141i	0.378250	+	0.925704i
$5$	−2.13907	−	0.651458i	−0.956619	−	0.291341i
$5$	−2.13907	−	0.651458i	−0.956619	−	0.291341i
$6$	2.70204	+	1.81483i	1.10310	+	0.740901i
$7$	−3.97452			−1.50223			−0.751113	−	0.660174i	$-0.770483\pi$
$7$	−3.97452			−1.50223			−0.751113	+	0.660174i	$0.770483\pi$
$8$	0.571733	−	2.77004i	0.202138	−	0.979357i
$9$	2.29731			0.765770
$10$	1.99756	+	2.45148i	0.631683	+	0.775227i
$11$	−0.316459	−	0.316459i	−0.0954161	−	0.0954161i	0.657787	−	0.753204i	$-0.271492\pi$
$11$	−0.316459	−	0.316459i	−0.0954161	−	0.0954161i	−0.753204	+	0.657787i	$0.771492\pi$
$12$	−1.74115	−	4.26118i	−0.502627	−	1.23010i
$13$	1.77966	+	1.77966i	0.493588	+	0.493588i	0.909435	−	0.415847i	$-0.136515\pi$
$13$	1.77966	+	1.77966i	0.493588	+	0.493588i	−0.415847	+	0.909435i	$0.636515\pi$
$14$	4.66604	+	3.13395i	1.24705	+	0.837584i
$15$	4.92325	+	1.49939i	1.27118	+	0.387141i
$16$	−2.85542	+	2.80118i	−0.713854	+	0.700295i
$17$	2.50362	−	3.27595i	0.607218	−	0.794535i
$17$	2.50362	−	3.27595i	0.607218	−	0.794535i
$18$	−2.69702	−	1.81145i	−0.635693	−	0.426964i
$19$			2.82964i			0.649163i	0.945858	+	0.324582i	$0.105223\pi$
$19$			2.82964i			0.649163i	−0.945858	+	0.324582i	$0.894777\pi$
$20$	−0.412089	−	4.45311i	−0.0921458	−	0.995746i
$21$	9.14770			1.99619
$22$	0.121988	+	0.621051i	0.0260079	+	0.132409i
$23$			0.996717i			0.207830i	0.994586	+	0.103915i	$0.0331370\pi$
$23$			0.996717i			0.207830i	−0.994586	+	0.103915i	$0.966863\pi$
$24$	−1.31589	+	6.37549i	−0.268606	+	1.30139i
$25$	4.15120	+	2.78702i	0.830241	+	0.557405i
$26$	−0.686018	−	3.49258i	−0.134539	−	0.684950i
$27$	1.61730			0.311250
$28$	−3.00672	−	7.35845i	−0.568217	−	1.39062i
$29$	−0.0246430	+	0.0246430i	−0.00457608	+	0.00457608i	−0.709391	−	0.704815i	$-0.751030\pi$
$29$	−0.0246430	+	0.0246430i	−0.00457608	+	0.00457608i	0.704815	+	0.709391i	$0.251030\pi$
$30$	−4.59755	−	5.64230i	−0.839395	−	1.03014i
$31$	3.68484	−	3.68484i	0.661817	−	0.661817i	−0.293991	−	0.955808i	$-0.594984\pi$
$31$	3.68484	−	3.68484i	0.661817	−	0.661817i	0.955808	+	0.293991i	$0.0949836\pi$
$32$	5.56099	−	1.03702i	0.983053	−	0.183322i
$33$	0.728359	+	0.728359i	0.126791	+	0.126791i
$34$	−5.52235	+	1.87180i	−0.947076	+	0.321010i
$35$	8.50175	+	2.58923i	1.43706	+	0.437660i
$36$	1.73791	+	4.25325i	0.289652	+	0.708876i
$37$	−1.58941			−0.261298			−0.130649	−	0.991429i	$-0.541706\pi$
$37$	−1.58941			−0.261298			−0.130649	+	0.991429i	$0.541706\pi$
$38$	2.23120	−	3.32196i	0.361948	−	0.538893i
$39$	−4.09604	−	4.09604i	−0.655891	−	0.655891i
$40$	−3.02754	+	5.55284i	−0.478696	+	0.877981i
$41$	6.11435	−	6.11435i	0.954901	−	0.954901i	−0.0441253	−	0.999026i	$-0.514050\pi$
$41$	6.11435	−	6.11435i	0.954901	−	0.954901i	0.999026	+	0.0441253i	$0.0140501\pi$
$42$	−10.7393	−	7.21307i	−1.65711	−	1.11300i
$43$	−4.17559	−	4.17559i	−0.636772	−	0.636772i	0.312986	−	0.949758i	$-0.398671\pi$
$43$	−4.17559	−	4.17559i	−0.636772	−	0.636772i	−0.949758	+	0.312986i	$0.898671\pi$
$44$	0.346494	−	0.825296i	0.0522359	−	0.124418i
$45$	−4.91410	−	1.49660i	−0.732550	−	0.223100i
$46$	0.785922	−	1.17013i	0.115878	−	0.172527i
$47$	6.91175	+	6.91175i	1.00818	+	1.00818i	0.999966	+	0.00821671i	$0.00261549\pi$
$47$	6.91175	+	6.91175i	1.00818	+	1.00818i	0.00821671	+	0.999966i	$0.497385\pi$
$48$	6.57199	−	6.44716i	0.948585	−	0.930567i
$49$	8.79678			1.25668
$50$	−2.67587	−	6.54521i	−0.378425	−	0.925632i
$51$	−5.76231	+	7.53989i	−0.806885	+	1.05580i
$52$	−1.94856	+	4.64118i	−0.270216	+	0.643616i
$53$	−9.08331	+	9.08331i	−1.24769	+	1.24769i	−0.290950	+	0.956738i	$0.593971\pi$
$53$	−9.08331	+	9.08331i	−1.24769	+	1.24769i	−0.956738	+	0.290950i	$0.906029\pi$
$54$	−1.89870	−	1.27526i	−0.258380	−	0.173541i
$55$	0.470767	+	0.883087i	0.0634782	+	0.119075i
$56$	−2.27236	+	11.0096i	−0.303657	+	1.47122i
$57$		−	6.51266i		−	0.862623i
$58$	0.0483618	−	0.00949931i	0.00635022	−	0.00124732i
$59$		−	4.28205i		−	0.557475i	−0.960367	−	0.278738i	$-0.910084\pi$
$59$		−	4.28205i		−	0.557475i	0.960367	−	0.278738i	$-0.0899159\pi$
$60$	0.948458	+	10.2492i	0.122445	+	1.32317i
$61$	−9.74339	+	9.74339i	−1.24751	+	1.24751i	−0.290699	+	0.956815i	$0.593888\pi$
$61$	−9.74339	+	9.74339i	−1.24751	+	1.24751i	−0.956815	+	0.290699i	$0.906112\pi$
$62$	−7.23150	+	1.42042i	−0.918402	+	0.180394i
$63$	−9.13069			−1.15036
$64$	−7.34624	−	3.16745i	−0.918280	−	0.395931i
$65$	−2.64743	−	4.96617i	−0.328373	−	0.615978i
$66$	−0.280766	−	1.42940i	−0.0345599	−	0.175948i
$67$	5.61205	+	5.61205i	0.685621	+	0.685621i	0.961261	−	0.275640i	$-0.0888898\pi$
$67$	5.61205	+	5.61205i	0.685621	+	0.685621i	−0.275640	+	0.961261i	$0.588890\pi$
$68$	7.95911	+	2.15697i	0.965184	+	0.261571i
$69$		−	2.29403i		−	0.276169i
$70$	−7.93932	−	9.74346i	−0.948931	−	1.16457i
$71$	10.5354	−	10.5354i	1.25032	−	1.25032i	0.294749	−	0.955575i	$-0.404764\pi$
$71$	10.5354	−	10.5354i	1.25032	−	1.25032i	0.955575	−	0.294749i	$-0.0952359\pi$
$72$	1.31345	−	6.36364i	0.154791	−	0.749962i
$73$			6.55715i			0.767456i	0.923446	+	0.383728i	$0.125360\pi$
$73$			6.55715i			0.767456i	−0.923446	+	0.383728i	$0.874640\pi$
$74$	1.86595	+	1.25327i	0.216913	+	0.145690i
$75$	−9.55436	−	6.41458i	−1.10324	−	0.740692i
$76$	−5.23881	+	2.14062i	−0.600932	+	0.245546i
$77$	1.25777	+	1.25777i	0.143337	+	0.143337i
$78$	1.57893	+	8.03847i	0.178779	+	0.910178i
$79$	−9.90208	+	9.90208i	−1.11407	+	1.11407i	−0.121477	+	0.992594i	$0.538763\pi$
$79$	−9.90208	+	9.90208i	−1.11407	+	1.11407i	−0.992594	+	0.121477i	$0.961237\pi$
$80$	7.93277	−	4.13172i	0.886911	−	0.461940i
$81$	−10.6143			−1.17937
$82$	−11.9994	+	2.35694i	−1.32511	+	0.260281i
$83$	5.59012	+	5.59012i	0.613596	+	0.613596i	0.943881	−	0.330285i	$-0.107145\pi$
$83$	5.59012	+	5.59012i	0.613596	+	0.613596i	−0.330285	+	0.943881i	$0.607145\pi$
$84$	6.92024	+	16.9361i	0.755060	+	1.84788i
$85$	−7.48956	+	5.37647i	−0.812357	+	0.583160i
$86$	1.60960	+	8.19460i	0.173567	+	0.883647i
$87$	0.0567180	−	0.0567180i	0.00608081	−	0.00608081i
$88$	−1.05754	+	0.695675i	−0.112734	+	0.0741592i
$89$			2.62516i			0.278267i	0.990274	+	0.139133i	$0.0444317\pi$
$89$			2.62516i			0.278267i	−0.990274	+	0.139133i	$0.955568\pi$
$90$	4.58901	+	5.63181i	0.483724	+	0.593645i
$91$	−7.07327	−	7.07327i	−0.741481	−	0.741481i
$92$	−1.84533	+	0.754016i	−0.192389	+	0.0786116i
$93$	−8.48099	+	8.48099i	−0.879437	+	0.879437i
$94$	−2.66433	−	13.5643i	−0.274804	−	1.39905i
$95$	1.84339	−	6.05278i	0.189128	−	0.621002i
$96$	−12.7991	+	2.38680i	−1.30630	+	0.243602i
$97$	11.6243			1.18027			0.590136	−	0.807304i	$-0.299074\pi$
$97$	11.6243			1.18027			0.590136	+	0.807304i	$0.299074\pi$
$98$	−10.3273	−	6.93636i	−1.04322	−	0.700679i
$99$	−0.727005	−	0.727005i	−0.0730667	−	0.0730667i
$100$	−2.01953	+	9.79395i	−0.201953	+	0.979395i
$101$	11.0756			1.10206			0.551030	−	0.834485i	$-0.314235\pi$
$101$	11.0756			1.10206			0.551030	+	0.834485i	$0.314235\pi$
$102$	12.7102	−	4.30810i	1.25850	−	0.426566i
$103$	8.32250	−	8.32250i	0.820041	−	0.820041i	−0.166073	−	0.986113i	$-0.553109\pi$
$103$	8.32250	−	8.32250i	0.820041	−	0.820041i	0.986113	+	0.166073i	$0.0531087\pi$
$104$	5.94721	−	3.91223i	0.583172	−	0.383626i
$105$	−19.5675	−	5.95935i	−1.90960	−	0.581573i
$106$	17.8260	−	3.50141i	1.73141	−	0.340087i
$107$		−	14.1163i		−	1.36468i	−0.731037	−	0.682338i	$-0.760963\pi$
$107$		−	14.1163i		−	1.36468i	0.731037	−	0.682338i	$-0.239037\pi$
$108$	1.22349	+	2.99429i	0.117730	+	0.288126i
$109$	7.15593	+	7.15593i	0.685414	+	0.685414i	0.961215	−	0.275801i	$-0.0889430\pi$
$109$	7.15593	+	7.15593i	0.685414	+	0.685414i	−0.275801	+	0.961215i	$0.588943\pi$
$110$	0.143649	−	1.40794i	0.0136964	−	0.134242i
$111$	3.65817			0.347218
$112$	11.3489	−	11.1333i	1.07237	−	1.05200i
$113$	−5.59353			−0.526195			−0.263097	−	0.964769i	$-0.584744\pi$
$113$	−5.59353			−0.526195			−0.263097	+	0.964769i	$0.584744\pi$
$114$	−5.13530	+	7.64579i	−0.480965	+	0.716094i
$115$	0.649319	−	2.13204i	0.0605493	−	0.198814i
$116$	−0.0642666	−	0.0269818i	−0.00596700	−	0.00250519i
$117$	4.08842	+	4.08842i	0.377975	+	0.377975i
$118$	−3.37644	+	5.02708i	−0.310827	+	0.462780i
$119$	−9.95070	+	13.0203i	−0.912179	+	1.19357i
$120$	6.96815	−	12.7803i	0.636102	−	1.16668i
$121$		−	10.7997i		−	0.981792i
$122$	19.1214	−	3.75586i	1.73117	−	0.340040i
$123$	−14.0727	+	14.0727i	−1.26889	+	1.26889i
$124$	9.60972	+	4.03456i	0.862979	+	0.362314i
$125$	−7.06407	−	8.66596i	−0.631830	−	0.775107i
$126$	10.7193	+	7.19966i	0.954954	+	0.641396i
$127$	10.7367	−	10.7367i	0.952732	−	0.952732i	−0.0462005	−	0.998932i	$-0.514711\pi$
$127$	10.7367	−	10.7367i	0.952732	−	0.952732i	0.998932	+	0.0462005i	$0.0147113\pi$
$128$	6.12684	+	9.51114i	0.541541	+	0.840674i
$129$	9.61050	+	9.61050i	0.846157	+	0.846157i
$130$	−0.807831	+	7.91776i	−0.0708514	+	0.694434i
$131$	−2.47151	+	2.47151i	−0.215937	+	0.215937i	−0.806784	−	0.590847i	$-0.798794\pi$
$131$	−2.47151	+	2.47151i	−0.215937	+	0.215937i	0.590847	+	0.806784i	$0.298794\pi$
$132$	−0.797486	+	1.89949i	−0.0694122	+	0.165330i
$133$		−	11.2464i		−	0.975190i
$134$	−2.16332	−	11.0136i	−0.186882	−	0.951434i
$135$	−3.45952	−	1.05361i	−0.297748	−	0.0906800i
$136$	−7.64312	−	8.80811i	−0.655392	−	0.755289i
$137$	1.31722	−	1.31722i	0.112538	−	0.112538i	−0.648595	−	0.761133i	$-0.724643\pi$
$137$	1.31722	−	1.31722i	0.112538	−	0.112538i	0.761133	+	0.648595i	$0.224643\pi$
$138$	−1.80887	+	2.69317i	−0.153981	+	0.229258i
$139$	9.02417	+	9.02417i	0.765420	+	0.765420i	0.977296	−	0.211876i	$-0.0679574\pi$
$139$	9.02417	+	9.02417i	0.765420	+	0.765420i	−0.211876	+	0.977296i	$0.567957\pi$
$140$	1.63785	+	17.6990i	0.138424	+	1.49584i
$141$	−15.9080	−	15.9080i	−1.33970	−	1.33970i
$142$	−20.6757	+	4.06117i	−1.73507	+	0.340805i
$143$		−	1.12638i		−	0.0941924i
$144$	−6.55977	+	6.43517i	−0.546648	+	0.536264i
$145$	0.0687668	−	0.0366591i	0.00571077	−	0.00304437i
$146$	5.17038	−	7.69802i	0.427904	−	0.637092i
$147$	−20.2466			−1.66991
$148$	−1.20239	−	2.94265i	−0.0988358	−	0.241884i
$149$		−	10.2039i		−	0.835935i	−0.908462	−	0.417968i	$-0.862743\pi$
$149$		−	10.2039i		−	0.835935i	0.908462	−	0.417968i	$-0.137257\pi$
$150$	6.15875	+	15.0644i	0.502860	+	1.23000i
$151$	0.607245			0.0494169			0.0247084	−	0.999695i	$-0.492134\pi$
$151$	0.607245			0.0494169			0.0247084	+	0.999695i	$0.492134\pi$
$152$	7.83820	+	1.61780i	0.635762	+	0.131221i
$153$	5.75160	−	7.52588i	0.464989	−	0.608431i
$154$	−0.484843	−	2.46838i	−0.0390698	−	0.198908i
$155$	−10.2826	+	5.48160i	−0.825921	+	0.440292i
$156$	4.48478	−	10.6821i	0.359070	−	0.855251i
$157$	1.53399	−	1.53399i	0.122425	−	0.122425i	−0.643240	−	0.765665i	$-0.722410\pi$
$157$	1.53399	−	1.53399i	0.122425	−	0.122425i	0.765665	+	0.643240i	$0.222410\pi$
$158$	19.4328	−	3.81703i	1.54599	−	0.303667i
$159$	20.9060	−	20.9060i	1.65796	−	1.65796i
$160$	−12.5709	−	1.40449i	−0.993817	−	0.111034i
$161$		−	3.96147i		−	0.312207i
$162$	12.4611	+	8.36949i	0.979034	+	0.657570i
$163$			9.03099i			0.707362i	0.935366	+	0.353681i	$0.115070\pi$
$163$			9.03099i			0.707362i	−0.935366	+	0.353681i	$0.884930\pi$
$164$	15.9456	+	6.69464i	1.24515	+	0.522764i
$165$	−1.08351	−	2.03250i	−0.0843513	−	0.158230i
$166$	−2.15487	−	10.9706i	−0.167250	−	0.851485i
$167$			16.9125i			1.30873i	0.756181	+	0.654363i	$0.227063\pi$
$167$			16.9125i			1.30873i	−0.756181	+	0.654363i	$0.772937\pi$
$168$	5.23004	−	25.3395i	0.403507	−	1.95498i
$169$		−	6.66565i		−	0.512742i
$170$	13.0321	−	0.406312i	0.999514	−	0.0311627i
$171$			6.50055i			0.497109i
$172$	4.57189	−	10.8896i	0.348603	−	0.830321i
$173$		−	8.41677i		−	0.639915i	−0.947432	−	0.319958i	$-0.896331\pi$
$173$		−	8.41677i		−	0.639915i	0.947432	−	0.319958i	$-0.103669\pi$
$174$	−0.111309	+	0.0218635i	−0.00843832	+	0.00165747i
$175$	−16.4990	−	11.0771i	−1.24721	−	0.837348i
$176$	1.79008	+	0.0171640i	0.134933	+	0.00129379i
$177$			9.85551i			0.740786i
$178$	2.06997	−	3.08191i	0.155151	−	0.230999i
$179$		−	7.70745i		−	0.576082i	−0.957618	−	0.288041i	$-0.906996\pi$
$179$		−	7.70745i		−	0.576082i	0.957618	−	0.288041i	$-0.0930039\pi$
$180$	−0.946695	−	10.2302i	−0.0705625	−	0.762512i
$181$	−4.24380	+	4.24380i	−0.315440	+	0.315440i	−0.847012	−	0.531573i	$-0.821601\pi$
$181$	−4.24380	+	4.24380i	−0.315440	+	0.315440i	0.531573	+	0.847012i	$0.321601\pi$
$182$	2.72659	+	13.8813i	0.202108	+	1.02895i
$183$	22.4253	−	22.4253i	1.65772	−	1.65772i
$184$	2.76095	+	0.569856i	0.203540	+	0.0420103i
$185$	3.39986	+	1.03544i	0.249962	+	0.0761267i
$186$	16.6439	−	3.26923i	1.22039	−	0.239712i
$187$	−1.82900	+	0.244411i	−0.133750	+	0.0178731i
$188$	−7.56773	+	18.0252i	−0.551933	+	1.31462i
$189$	−6.42801			−0.467569
$190$	−6.93680	+	5.65236i	−0.503249	+	0.410065i
$191$			2.55682i			0.185005i	0.995712	+	0.0925025i	$0.0294866\pi$
$191$			2.55682i			0.185005i	−0.995712	+	0.0925025i	$0.970513\pi$
$192$	16.9080	+	7.29016i	1.22023	+	0.526122i
$193$	17.2114			1.23891			0.619453	−	0.785034i	$-0.287355\pi$
$193$	17.2114			1.23891			0.619453	+	0.785034i	$0.287355\pi$
$194$	−13.6468	−	9.16592i	−0.979786	−	0.658075i
$195$	6.09329	+	11.4301i	0.436350	+	0.818526i
$196$	6.65477	+	16.2864i	0.475340	+	1.16332i
$197$			8.59946i			0.612686i	0.951921	+	0.306343i	$0.0991055\pi$
$197$			8.59946i			0.612686i	−0.951921	+	0.306343i	$0.900895\pi$
$198$	0.280244	+	1.42675i	0.0199161	+	0.101395i
$199$	13.0434	+	13.0434i	0.924622	+	0.924622i	0.997352	−	0.0727295i	$-0.0231710\pi$
$199$	13.0434	+	13.0434i	0.924622	+	0.924622i	−0.0727295	+	0.997352i	$0.523171\pi$
$200$	10.0935	−	9.90557i	0.713722	−	0.700429i
$201$	−12.9166	−	12.9166i	−0.911068	−	0.911068i
$202$	−13.0026	−	8.73321i	−0.914859	−	0.614466i
$203$	0.0979439	−	0.0979439i	0.00687431	−	0.00687431i
$204$	−18.3186	−	4.96446i	−1.28256	−	0.347581i
$205$	−17.0622	+	9.09575i	−1.19168	+	0.635275i
$206$	−16.3329	+	3.20814i	−1.13797	+	0.223522i
$207$			2.28977i			0.159150i
$208$	−10.0668	−	0.0965244i	−0.698006	−	0.00669276i
$209$	0.895465	−	0.895465i	0.0619406	−	0.0619406i
$210$	18.2731	+	22.4254i	1.26096	+	1.54750i
$211$	19.7527	+	19.7527i	1.35984	+	1.35984i	0.874113	+	0.485722i	$0.161443\pi$
$211$	19.7527	+	19.7527i	1.35984	+	1.35984i	0.485722	+	0.874113i	$0.338557\pi$
$212$	−23.6884	−	9.94538i	−1.62693	−	0.683051i
$213$	−24.2482	+	24.2482i	−1.66146	+	1.66146i
$214$	−11.1309	+	16.5724i	−0.760891	+	1.13287i
$215$	6.21164	+	11.6521i	0.423631	+	0.794666i
$216$	0.924666	−	4.48000i	0.0629156	−	0.304825i
$217$	−14.6455	+	14.6455i	−0.994199	+	0.994199i
$218$	−2.75845	−	14.0435i	−0.186826	−	0.951147i
$219$		−	15.0919i		−	1.01981i
$220$	−1.27882	+	1.53964i	−0.0862179	+	0.103802i
$221$	10.2857	−	1.37448i	0.691888	−	0.0924575i
$222$	−4.29465	−	2.88451i	−0.288238	−	0.193596i
$223$	12.5309	+	12.5309i	0.839133	+	0.839133i	0.988745	−	0.149612i	$-0.0478025\pi$
$223$	12.5309	+	12.5309i	0.839133	+	0.839133i	−0.149612	+	0.988745i	$0.547802\pi$
$224$	−22.1022	+	4.12167i	−1.47677	+	0.275391i
$225$	9.53660	+	6.40266i	0.635773	+	0.426844i
$226$	6.56674	+	4.41056i	0.436813	+	0.293386i
$227$	9.38343			0.622800			0.311400	−	0.950279i	$-0.399202\pi$
$227$	9.38343			0.622800			0.311400	+	0.950279i	$0.399202\pi$
$228$	12.0576	−	4.92682i	0.798533	−	0.326287i
$229$	25.8056			1.70528			0.852641	−	0.522497i	$-0.174999\pi$
$229$	25.8056			1.70528			0.852641	+	0.522497i	$0.174999\pi$
$230$	−2.44343	+	1.99100i	−0.161115	+	0.131283i
$231$	−2.89488	−	2.89488i	−0.190469	−	0.190469i
$232$	0.0541728	+	0.0823512i	0.00355662	+	0.00540662i
$233$			15.4422i			1.01165i	0.862636	+	0.505825i	$0.168812\pi$
$233$			15.4422i			1.01165i	−0.862636	+	0.505825i	$0.831188\pi$
$234$	−1.57599	−	8.02353i	−0.103026	−	0.524514i
$235$	−10.2820	−	19.2874i	−0.670722	−	1.25817i
$236$	7.92781	−	3.23937i	0.516057	−	0.210865i
$237$	22.7905	−	22.7905i	1.48040	−	1.48040i
$238$	21.9487	−	7.43948i	1.42272	−	0.482230i
$239$	−18.3551			−1.18729			−0.593647	−	0.804725i	$-0.702313\pi$
$239$	−18.3551			−1.18729			−0.593647	+	0.804725i	$0.702313\pi$
$240$	−18.2580	+	9.50952i	−1.17855	+	0.613837i
$241$	−7.57434	−	7.57434i	−0.487906	−	0.487906i	0.419739	−	0.907645i	$-0.362122\pi$
$241$	−7.57434	−	7.57434i	−0.487906	−	0.487906i	−0.907645	+	0.419739i	$0.862122\pi$
$242$	−8.51569	+	12.6787i	−0.547409	+	0.815020i
$243$	19.5778			1.25592
$244$	−25.4099	−	10.6681i	−1.62670	−	0.682956i
$245$	−18.8169	−	5.73074i	−1.20217	−	0.366123i
$246$	27.6177	−	5.42472i	1.76084	−	0.345867i
$247$	−5.03578	+	5.03578i	−0.320419	+	0.320419i
$248$	−8.10041	−	12.3139i	−0.514377	−	0.781934i
$249$	−12.8662	−	12.8662i	−0.815360	−	0.815360i
$250$	1.45993	+	15.7438i	0.0923340	+	0.995728i
$251$		−	4.50448i		−	0.284320i	−0.989844	−	0.142160i	$-0.954595\pi$
$251$		−	4.50448i		−	0.284320i	0.989844	−	0.142160i	$-0.0454048\pi$
$252$	−6.90737	−	16.9046i	−0.435123	−	1.06489i
$253$	0.315420	−	0.315420i	0.0198303	−	0.0198303i
$254$	−21.0709	+	4.13877i	−1.32210	+	0.259690i
$255$	17.2379	−	12.3744i	1.07948	−	0.774916i
$256$	0.306800	−	15.9971i	0.0191750	−	0.999816i
$257$	16.6800	+	16.6800i	1.04047	+	1.04047i	0.999146	+	0.0413246i	$0.0131578\pi$
$257$	16.6800	+	16.6800i	1.04047	+	1.04047i	0.0413246	+	0.999146i	$0.486842\pi$
$258$	−3.70463	−	18.8606i	−0.230640	−	1.17421i
$259$	6.31714			0.392528
$260$	7.19163	−	8.65838i	0.446006	−	0.536970i
$261$	−0.0566125	+	0.0566125i	−0.00350423	+	0.00350423i
$262$	4.85034	−	0.952712i	0.299655	−	0.0588588i
$263$	−19.8644	−	19.8644i	−1.22489	−	1.22489i	−0.965872	−	0.259020i	$-0.916600\pi$
$263$	−19.8644	−	19.8644i	−1.22489	−	1.22489i	−0.259020	−	0.965872i	$-0.583400\pi$
$264$	2.43401	−	1.60116i	0.149803	−	0.0985444i
$265$	25.3472	−	13.5124i	1.55707	−	0.830060i
$266$	−8.86794	+	13.2032i	−0.543728	+	0.809540i
$267$		−	6.04205i		−	0.369767i
$268$	−6.14467	+	14.6357i	−0.375345	+	0.894017i
$269$	−4.03411	+	4.03411i	−0.245964	+	0.245964i	−0.819312	−	0.573348i	$-0.805644\pi$
$269$	−4.03411	+	4.03411i	−0.245964	+	0.245964i	0.573348	+	0.819312i	$0.305644\pi$
$270$	3.23066	+	3.96479i	0.196612	+	0.241290i
$271$			9.49507i			0.576785i	0.957512	+	0.288392i	$0.0931207\pi$
$271$			9.49507i			0.576785i	−0.957512	+	0.288392i	$0.906879\pi$
$272$	2.02764	+	16.3673i	0.122944	+	0.992414i
$273$	16.2798	+	16.2798i	0.985296	+	0.985296i
$274$	−2.58505	+	0.507760i	−0.156169	+	0.0306749i
$275$	−0.431708	−	2.19567i	−0.0260329	−	0.132404i
$276$	4.24719	−	1.73543i	0.255651	−	0.104461i
$277$	−13.4769			−0.809749			−0.404875	−	0.914372i	$-0.632685\pi$
$277$	−13.4769			−0.809749			−0.404875	+	0.914372i	$0.632685\pi$
$278$	−3.47862	−	17.7099i	−0.208633	−	1.06217i
$279$	8.46522	−	8.46522i	0.506799	−	0.506799i
$280$	12.0330	−	22.0698i	0.719110	−	1.31893i
$281$		−	5.47956i		−	0.326883i	−0.986553	−	0.163442i	$-0.947740\pi$
$281$		−	5.47956i		−	0.326883i	0.986553	−	0.163442i	$-0.0522596\pi$
$282$	6.13218	+	31.2195i	0.365166	+	1.85909i
$283$		−	17.6570i		−	1.04960i	−0.851226	−	0.524800i	$-0.824140\pi$
$283$		−	17.6570i		−	1.04960i	0.851226	−	0.524800i	$-0.175860\pi$
$284$	27.4754	+	11.5353i	1.63036	+	0.684494i
$285$	−4.24272	+	13.9310i	−0.251317	+	0.825201i
$286$	−0.888161	+	1.32235i	−0.0525181	+	0.0781925i
$287$	−24.3016	+	24.3016i	−1.43448	+	1.43448i
$288$	12.7753	−	2.38237i	0.752792	−	0.140382i
$289$	−4.46373	−	16.4035i	−0.262572	−	0.964912i
$290$	−0.109638	−	0.0111861i	−0.00643814	−	0.000656868i
$291$	−26.7544			−1.56837
$292$	−12.1399	+	4.96048i	−0.710437	+	0.290290i
$293$	−0.172396	−	0.172396i	−0.0100715	−	0.0100715i	0.702053	−	0.712125i	$-0.252267\pi$
$293$	−0.172396	−	0.172396i	−0.0100715	−	0.0100715i	−0.712125	+	0.702053i	$0.752267\pi$
$294$	23.7693	+	15.9647i	1.38625	+	0.931078i
$295$	−2.78957	+	9.15958i	−0.162415	+	0.533291i
$296$	−0.908719	+	4.40273i	−0.0528182	+	0.255904i
$297$	−0.511811	−	0.511811i	−0.0296983	−	0.0296983i
$298$	−8.04588	+	11.9793i	−0.466085	+	0.693939i
$299$	−1.77381	+	1.77381i	−0.102582	+	0.102582i
$300$	4.64813	−	22.5416i	0.268360	−	1.30144i
$301$	16.5960	+	16.5960i	0.956576	+	0.956576i
$302$	−0.712899	−	0.478819i	−0.0410227	−	0.0275530i
$303$	−25.4914			−1.46444
$304$	−7.92632	−	8.07979i	−0.454605	−	0.463408i
$305$	27.1892	−	14.4943i	1.55685	−	0.829944i
$306$	−12.6866	+	4.30009i	−0.725242	+	0.245820i
$307$	−6.07697	−	6.07697i	−0.346831	−	0.346831i	0.512097	−	0.858928i	$-0.328869\pi$
$307$	−6.07697	−	6.07697i	−0.346831	−	0.346831i	−0.858928	+	0.512097i	$0.828869\pi$
$308$	−1.37714	+	3.28015i	−0.0784701	+	0.186904i
$309$	−19.1550	+	19.1550i	−1.08969	+	1.08969i
$310$	16.3940	+	1.67264i	0.931117	+	0.0949997i
$311$	−16.1494	+	16.1494i	−0.915747	+	0.915747i	−0.996717	−	0.0809696i	$-0.974198\pi$
$311$	−16.1494	+	16.1494i	−0.915747	+	0.915747i	0.0809696	+	0.996717i	$0.474198\pi$
$312$	−13.6880	+	9.00434i	−0.774932	+	0.509771i
$313$	13.3779			0.756162			0.378081	−	0.925773i	$-0.376584\pi$
$313$	13.3779			0.756162			0.378081	+	0.925773i	$0.376584\pi$
$314$	−3.01045	+	0.591317i	−0.169889	+	0.0333699i
$315$	19.5312	+	5.94827i	1.10046	+	0.335147i
$316$	−25.8237	−	10.8419i	−1.45270	−	0.609902i
$317$			8.53329i			0.479277i	0.970862	+	0.239639i	$0.0770290\pi$
$317$			8.53329i			0.479277i	−0.970862	+	0.239639i	$0.922971\pi$
$318$	−41.0281	+	8.05881i	−2.30074	+	0.451916i
$319$	0.0155970			0.000873264
$320$	13.6506	+	11.5611i	0.763094	+	0.646288i
$321$			32.4899i			1.81341i
$322$	−3.12366	+	4.65072i	−0.174075	+	0.259174i
$323$	9.26975	+	7.08435i	0.515783	+	0.394184i
$324$	−8.02971	−	19.6514i	−0.446095	−	1.09174i
$325$	2.42777	+	12.3477i	0.134669	+	0.684925i
$326$	7.12104	−	10.6023i	0.394398	−	0.587206i
$327$	−16.4700	−	16.4700i	−0.910794	−	0.910794i
$328$	−13.4412	−	20.4328i	−0.742167	−	1.12821i
$329$	−27.4709	−	27.4709i	−1.51452	−	1.51452i
$330$	−0.330620	+	3.24050i	−0.0182001	+	0.178384i
$331$	−18.7828			−1.03240			−0.516198	−	0.856470i	$-0.672653\pi$
$331$	−18.7828			−1.03240			−0.516198	+	0.856470i	$0.672653\pi$
$332$	−6.12067	+	14.5785i	−0.335915	+	0.800100i
$333$	−3.65137			−0.200094
$334$	13.3357	−	19.8550i	0.729695	−	1.08642i
$335$	−8.34852	−	15.6606i	−0.456129	−	0.855627i
$336$	−26.1205	+	25.6243i	−1.42499	+	1.39792i
$337$	−5.01734			−0.273312			−0.136656	−	0.990619i	$-0.543636\pi$
$337$	−5.01734			−0.273312			−0.136656	+	0.990619i	$0.543636\pi$
$338$	−5.25594	+	7.82540i	−0.285885	+	0.425645i
$339$	12.8740			0.699220
$340$	−15.6199	−	9.79893i	−0.847107	−	0.531422i
$341$	−2.33220			−0.126296
$342$	5.12576	−	7.63157i	0.277169	−	0.412668i
$343$	−7.14135			−0.385597
$344$	−13.9539	+	9.17924i	−0.752343	+	0.494911i
$345$	−1.49447	+	4.90708i	−0.0804593	+	0.264189i
$346$	−6.63672	+	9.88120i	−0.356792	+	0.531216i
$347$	14.4698			0.776779			0.388390	−	0.921495i	$-0.373031\pi$
$347$	14.4698			0.776779			0.388390	+	0.921495i	$0.373031\pi$
$348$	0.147915	+	0.0621009i	0.00792909	+	0.00332896i
$349$	17.7868			0.952107			0.476053	−	0.879416i	$-0.342067\pi$
$349$	17.7868			0.952107			0.476053	+	0.879416i	$0.342067\pi$
$350$	10.6353	+	26.0140i	0.568480	+	1.39051i
$351$	2.87825	+	2.87825i	0.153629	+	0.153629i
$352$	−2.08800	−	1.43165i	−0.111291	−	0.0763072i
$353$	−6.06103	−	6.06103i	−0.322596	−	0.322596i	0.527166	−	0.849762i	$-0.323255\pi$
$353$	−6.06103	−	6.06103i	−0.322596	−	0.322596i	−0.849762	+	0.527166i	$0.823255\pi$
$354$	7.77118	−	11.5703i	0.413034	−	0.614952i
$355$	−29.3993	+	15.6726i	−1.56035	+	0.831813i
$356$	−4.86025	+	1.98594i	−0.257593	+	0.105254i
$357$	22.9024	−	29.9674i	1.21212	−	1.58605i
$358$	−6.07741	+	9.04846i	−0.321201	+	0.478226i
$359$			35.1275i			1.85396i	0.375115	+	0.926978i	$0.377603\pi$
$359$			35.1275i			1.85396i	−0.375115	+	0.926978i	$0.622397\pi$
$360$	−6.95520	+	12.7566i	−0.366571	+	0.672331i
$361$	10.9932			0.578587
$362$	8.32847	−	1.63589i	0.437735	−	0.0859806i
$363$			24.8565i			1.30463i
$364$	7.74458	−	18.4464i	0.405926	−	0.966856i
$365$	4.27171	−	14.0262i	0.223591	−	0.734163i
$366$	−44.0096	+	8.64444i	−2.30042	+	0.451852i
$367$	−11.5170			−0.601184			−0.300592	−	0.953753i	$-0.597184\pi$
$367$	−11.5170			−0.601184			−0.300592	+	0.953753i	$0.597184\pi$
$368$	−2.79198	−	2.84604i	−0.145542	−	0.148360i
$369$	14.0465	−	14.0465i	0.731234	−	0.731234i
$370$	−3.17494	−	3.89642i	−0.165057	−	0.202565i
$371$	36.1018	−	36.1018i	1.87431	−	1.87431i
$372$	−22.1176	−	9.28589i	−1.14675	−	0.481451i
$373$	−1.33651	−	1.33651i	−0.0692020	−	0.0692020i	0.671659	−	0.740861i	$-0.265582\pi$
$373$	−1.33651	−	1.33651i	−0.0692020	−	0.0692020i	−0.740861	+	0.671659i	$0.765582\pi$
$374$	2.33995	+	1.15525i	0.120996	+	0.0597367i
$375$	16.2586	+	19.9455i	0.839589	+	1.02998i
$376$	23.0975	−	15.1942i	1.19116	−	0.783579i
$377$	−0.0877120			−0.00451740
$378$	7.54641	+	5.06855i	0.388145	+	0.260698i
$379$	−2.52004	−	2.52004i	−0.129446	−	0.129446i	0.639416	−	0.768861i	$-0.279176\pi$
$379$	−2.52004	−	2.52004i	−0.129446	−	0.129446i	−0.768861	+	0.639416i	$0.779176\pi$
$380$	12.6007	−	1.16606i	0.646401	−	0.0598176i
$381$	−24.7116	+	24.7116i	−1.26601	+	1.26601i
$382$	2.01608	−	3.00168i	0.103152	−	0.153579i
$383$	−25.2816	−	25.2816i	−1.29183	−	1.29183i	−0.933655	−	0.358174i	$-0.883399\pi$
$383$	−25.2816	−	25.2816i	−1.29183	−	1.29183i	−0.358174	−	0.933655i	$-0.616601\pi$
$384$	−14.1015	−	21.8907i	−0.719612	−	1.11711i
$385$	−1.87107	−	3.50985i	−0.0953587	−	0.178878i
$386$	−20.2060	−	13.5714i	−1.02846	−	0.690766i
$387$	−9.59263	−	9.59263i	−0.487621	−	0.487621i
$388$	8.79381	+	21.5214i	0.446438	+	1.09258i
$389$	−8.35286			−0.423507			−0.211753	−	0.977323i	$-0.567917\pi$
$389$	−8.35286			−0.423507			−0.211753	+	0.977323i	$0.567917\pi$
$390$	1.85929	−	18.2234i	0.0941490	−	0.922779i
$391$	3.26520	+	2.49540i	0.165128	+	0.126198i
$392$	5.02941	−	24.3674i	0.254024	−	1.23074i
$393$	5.68840	−	5.68840i	0.286942	−	0.286942i
$394$	6.78077	−	10.0957i	0.341610	−	0.508613i
$395$	27.6320	−	14.7304i	1.39032	−	0.741167i
$396$	0.796003	−	1.89596i	0.0400007	−	0.0952756i
$397$		−	12.0104i		−	0.602785i	−0.953500	−	0.301393i	$-0.902549\pi$
$397$		−	12.0104i		−	0.602785i	0.953500	−	0.301393i	$-0.0974514\pi$
$398$	−5.02794	−	25.5977i	−0.252028	−	1.28310i
$399$			25.8847i			1.29585i
$400$	−19.6604	+	3.67015i	−0.983018	+	0.183508i
$401$	−9.82899	+	9.82899i	−0.490836	+	0.490836i	−0.908570	−	0.417733i	$-0.862825\pi$
$401$	−9.82899	+	9.82899i	−0.490836	+	0.490836i	0.417733	+	0.908570i	$0.362825\pi$
$402$	4.97907	+	25.3489i	0.248333	+	1.26429i
$403$	13.1155			0.653330
$404$	8.37866	+	20.5054i	0.416854	+	1.02018i
$405$	22.7047	+	6.91477i	1.12820	+	0.343598i
$406$	−0.192215	+	0.0377552i	−0.00953947	+	0.00187376i
$407$	0.502984	+	0.502984i	0.0249320	+	0.0249320i
$408$	17.5913	+	20.2726i	0.870899	+	1.00365i
$409$			14.1372i			0.699041i	0.936929	+	0.349521i	$0.113656\pi$
$409$			14.1372i			0.699041i	−0.936929	+	0.349521i	$0.886344\pi$
$410$	27.2030	+	2.77546i	1.34346	+	0.137070i
$411$	−3.03170	+	3.03170i	−0.149543	+	0.149543i
$412$	21.7043	+	9.11237i	1.06929	+	0.448934i
$413$			17.0191i			0.837454i
$414$	1.80551	−	2.68816i	0.0887358	−	0.132116i
$415$	−8.31591	−	15.5994i	−0.408212	−	0.765743i
$416$	11.7422	+	8.05110i	0.575708	+	0.394738i
$417$	−20.7699	−	20.7699i	−1.01711	−	1.01711i
$418$	−1.75735	+	0.345182i	−0.0859548	+	0.0168834i
$419$	18.4011	−	18.4011i	0.898952	−	0.898952i	−0.0963919	−	0.995343i	$-0.530730\pi$
$419$	18.4011	−	18.4011i	0.898952	−	0.898952i	0.995343	+	0.0963919i	$0.0307302\pi$
$420$	−3.76966	−	40.7357i	−0.183941	−	1.98770i
$421$	8.02236			0.390986			0.195493	−	0.980705i	$-0.437369\pi$
$421$	8.02236			0.390986			0.195493	+	0.980705i	$0.437369\pi$
$422$	−7.61424	−	38.7648i	−0.370656	−	1.88704i
$423$	15.8784	+	15.8784i	0.772036	+	0.772036i
$424$	19.9679	+	30.3544i	0.969727	+	1.47414i
$425$	19.5232	−	6.62149i	0.947015	−	0.321189i
$426$	47.5871	−	9.34713i	2.30560	−	0.452870i
$427$	38.7253	−	38.7253i	1.87405	−	1.87405i
$428$	26.1350	−	10.6790i	1.26329	−	0.516188i
$429$			2.59246i			0.125165i
$430$	1.89541	−	18.5774i	0.0914046	−	0.895881i
$431$	4.01207	+	4.01207i	0.193254	+	0.193254i	0.797101	−	0.603846i	$-0.206366\pi$
$431$	4.01207	+	4.01207i	0.193254	+	0.193254i	−0.603846	+	0.797101i	$0.706366\pi$
$432$	−4.61808	+	4.53036i	−0.222187	+	0.217967i
$433$	5.90934	−	5.90934i	0.283985	−	0.283985i	−0.550711	−	0.834696i	$-0.685643\pi$
$433$	5.90934	−	5.90934i	0.283985	−	0.283985i	0.834696	+	0.550711i	$0.185643\pi$
$434$	28.7417	−	5.64550i	1.37965	−	0.270993i
$435$	−0.158273	+	0.0843741i	−0.00758860	+	0.00404543i
$436$	−7.83508	+	18.6620i	−0.375232	+	0.893748i
$437$	−2.82035			−0.134915
$438$	−11.9001	+	17.7177i	−0.568609	+	0.846583i
$439$	−11.3464	−	11.3464i	−0.541535	−	0.541535i	0.382444	−	0.923979i	$-0.375082\pi$
$439$	−11.3464	−	11.3464i	−0.541535	−	0.541535i	−0.923979	+	0.382444i	$0.875082\pi$
$440$	2.71534	−	0.799154i	0.129449	−	0.0380982i
$441$	20.2089			0.962330
$442$	−13.1590	−	6.49674i	−0.625912	−	0.309018i
$443$	2.38905	−	2.38905i	0.113507	−	0.113507i	−0.648072	−	0.761579i	$-0.724424\pi$
$443$	2.38905	−	2.38905i	0.113507	−	0.113507i	0.761579	+	0.648072i	$0.224424\pi$
$444$	2.76741	+	6.77277i	0.131335	+	0.321421i
$445$	1.71019	−	5.61540i	0.0810706	−	0.266195i
$446$	−4.83039	−	24.5919i	−0.228726	−	1.16446i
$447$			23.4852i			1.11081i
$448$	29.1978	+	12.5891i	1.37946	+	0.594778i
$449$	22.7355	+	22.7355i	1.07295	+	1.07295i	0.997121	+	0.0758322i	$0.0241613\pi$
$449$	22.7355	+	22.7355i	1.07295	+	1.07295i	0.0758322	+	0.997121i	$0.475839\pi$
$450$	−6.14730	−	15.0364i	−0.289786	−	0.708821i
$451$	−3.86988			−0.182226
$452$	−4.23150	−	10.3559i	−0.199033	−	0.487100i
$453$	−1.39763			−0.0656663
$454$	−11.0160	−	7.39894i	−0.517008	−	0.347249i
$455$	10.5223	+	19.7381i	0.493291	+	0.925338i
$456$	−18.0403	−	3.72350i	−0.844815	−	0.174369i
$457$	15.5850	+	15.5850i	0.729037	+	0.729037i	0.970428	−	0.241391i	$-0.0776036\pi$
$457$	15.5850	+	15.5850i	0.729037	+	0.729037i	−0.241391	+	0.970428i	$0.577604\pi$
$458$	−30.2955	−	20.3480i	−1.41562	−	0.950800i
$459$	4.04912	−	5.29821i	0.188997	−	0.247299i
$460$	4.43849	−	0.410736i	0.206946	−	0.0191506i
$461$			4.68028i			0.217982i	0.994043	+	0.108991i	$0.0347620\pi$
$461$			4.68028i			0.217982i	−0.994043	+	0.108991i	$0.965238\pi$
$462$	1.11591	+	5.68119i	0.0519168	+	0.264313i
$463$	−17.3925	+	17.3925i	−0.808299	+	0.808299i	−0.984376	−	0.176077i	$-0.943659\pi$
$463$	−17.3925	+	17.3925i	−0.808299	+	0.808299i	0.176077	+	0.984376i	$0.443659\pi$
$464$	0.00133658	−	0.139395i	6.20490e−5	−	0.00647126i
$465$	23.6664	−	12.6164i	1.09750	−	0.585071i
$466$	12.1763	−	18.1289i	0.564057	−	0.839806i
$467$	20.1704	−	20.1704i	0.933373	−	0.933373i	−0.0645420	−	0.997915i	$-0.520559\pi$
$467$	20.1704	−	20.1704i	0.933373	−	0.933373i	0.997915	+	0.0645420i	$0.0205587\pi$
$468$	−4.47644	+	10.6622i	−0.206924	+	0.492861i
$469$	−22.3052	−	22.3052i	−1.02996	−	1.02996i
$470$	−3.13742	+	30.7507i	−0.144718	+	1.41842i
$471$	−3.53060	+	3.53060i	−0.162682	+	0.162682i
$472$	−11.8614	−	2.44819i	−0.545967	−	0.112687i
$473$			2.64281i			0.121517i
$474$	−44.7264	+	8.78523i	−2.05435	+	0.403519i
$475$	−7.88626	+	11.7464i	−0.361847	+	0.538962i
$476$	−31.6336	−	8.57291i	−1.44993	−	0.392939i
$477$	−20.8672	+	20.8672i	−0.955442	+	0.955442i
$478$	21.5487	+	14.4732i	0.985615	+	0.661990i
$479$	−16.3879	−	16.3879i	−0.748780	−	0.748780i	0.225470	−	0.974250i	$-0.427608\pi$
$479$	−16.3879	−	16.3879i	−0.748780	−	0.748780i	−0.974250	+	0.225470i	$0.927608\pi$
$480$	28.9330	+	3.23255i	1.32061	+	0.147545i
$481$	−2.82861	−	2.82861i	−0.128973	−	0.128973i
$482$	2.91974	+	14.8647i	0.132991	+	0.677066i
$483$			9.11767i			0.414868i
$484$	19.9947	−	8.16998i	0.908848	−	0.371363i
$485$	−24.8652	−	7.57277i	−1.12907	−	0.343862i
$486$	−22.9842	−	15.4373i	−1.04258	−	0.700252i
$487$	15.3999			0.697836			0.348918	−	0.937153i	$-0.386549\pi$
$487$	15.3999			0.697836			0.348918	+	0.937153i	$0.386549\pi$
$488$	21.4190	+	32.5602i	0.969591	+	1.47393i
$489$		−	20.7856i		−	0.939959i
$490$	17.5721	+	21.5652i	0.793826	+	0.974215i
$491$	8.21180			0.370593			0.185297	−	0.982683i	$-0.440675\pi$
$491$	8.21180			0.370593			0.185297	+	0.982683i	$0.440675\pi$
$492$	−36.7003	−	15.4083i	−1.65458	−	0.694660i
$493$	0.0190325	+	0.142426i	0.000857179	+	0.00641454i
$494$	9.88272	−	1.94118i	0.444644	−	0.0873378i
$495$	1.08150	+	2.02872i	0.0486097	+	0.0911844i
$496$	−0.199857	+	20.8436i	−0.00897385	+	0.935908i
$497$	−41.8732	+	41.8732i	−1.87827	+	1.87827i
$498$	4.95962	+	25.2498i	0.222246	+	1.13147i
$499$	−5.92297	+	5.92297i	−0.265149	+	0.265149i	−0.827142	−	0.561993i	$-0.810035\pi$
$499$	−5.92297	+	5.92297i	−0.265149	+	0.265149i	0.561993	+	0.827142i	$0.310035\pi$
$500$	10.7003	−	19.6343i	0.478530	−	0.878071i
$501$		−	38.9255i		−	1.73906i
$502$	−3.55183	+	5.28821i	−0.158526	+	0.236024i
$503$			0.409587i			0.0182626i	0.999958	+	0.00913129i	$0.00290662\pi$
$503$			0.409587i			0.0182626i	−0.999958	+	0.00913129i	$0.997093\pi$
$504$	−5.22032	+	25.2924i	−0.232531	+	1.12661i
$505$	−23.6914	−	7.21527i	−1.05425	−	0.321075i
$506$	−0.619012	+	0.121587i	−0.0275185	+	0.00540522i
$507$			15.3416i			0.681343i
$508$	28.0004	+	11.7557i	1.24232	+	0.521576i
$509$			3.63324i			0.161041i	0.996753	+	0.0805203i	$0.0256582\pi$
$509$			3.63324i			0.161041i	−0.996753	+	0.0805203i	$0.974342\pi$
$510$	−29.9945	+	0.935164i	−1.32818	+	0.0414097i
$511$		−	26.0615i		−	1.15289i
$512$	−12.9740	+	18.5385i	−0.573377	+	0.819292i
$513$			4.57638i			0.202052i
$514$	−6.42977	−	32.7345i	−0.283605	−	1.44386i
$515$	−23.2241	+	12.3806i	−1.02338	+	0.545555i
$516$	−10.5226	+	25.0633i	−0.463232	+	1.10335i
$517$		−	4.37458i		−	0.192394i
$518$	−7.41626	−	4.98114i	−0.325852	−	0.218859i
$519$			19.3719i			0.850334i
$520$	−15.2701	+	4.49416i	−0.669639	+	0.197082i
$521$	4.82550	−	4.82550i	0.211409	−	0.211409i	−0.593457	−	0.804866i	$-0.702237\pi$
$521$	4.82550	−	4.82550i	0.211409	−	0.211409i	0.804866	+	0.593457i	$0.202237\pi$
$522$	0.111102	−	0.0218229i	0.00486281	−	0.000955161i
$523$	−16.2040	+	16.2040i	−0.708552	+	0.708552i	−0.966231	−	0.257679i	$-0.917042\pi$
$523$	−16.2040	+	16.2040i	−0.708552	+	0.708552i	0.257679	+	0.966231i	$0.417042\pi$
$524$	−6.44547	−	2.70608i	−0.281572	−	0.118215i
$525$	37.9740	+	25.4949i	1.65732	+	1.11269i
$526$	7.65729	+	38.9839i	0.333874	+	1.69978i
$527$	−2.84591	−	21.2968i	−0.123970	−	0.927704i
$528$	−4.12003	−	0.0395045i	−0.179301	−	0.00171921i
$529$	22.0066			0.956807
$530$	−40.4120	−	4.12314i	−1.75538	−	0.179098i
$531$		−	9.83719i		−	0.426898i
$532$	20.8217	−	8.50793i	0.902737	−	0.368865i
$533$	21.7629			0.942655
$534$	−4.76422	+	7.09330i	−0.206168	+	0.306957i
$535$	−9.19619	+	30.1957i	−0.397586	+	1.30548i
$536$	18.7542	−	12.3370i	0.810057	−	0.532877i
$537$			17.7394i			0.765511i
$538$	7.91694	−	1.55506i	0.341323	−	0.0670433i
$539$	−2.78382	−	2.78382i	−0.119908	−	0.119908i
$540$	−0.666473	−	7.20204i	−0.0286804	−	0.309926i
$541$	28.1030	+	28.1030i	1.20824	+	1.20824i	0.971596	+	0.236646i	$0.0760482\pi$
$541$	28.1030	+	28.1030i	1.20824	+	1.20824i	0.236646	+	0.971596i	$0.423952\pi$
$542$	7.48697	−	11.1471i	0.321593	−	0.478809i
$543$	9.76749	−	9.76749i	0.419163	−	0.419163i
$544$	10.5254	−	20.8139i	0.451272	−	0.892386i
$545$	−10.6452	−	19.9688i	−0.455991	−	0.855369i
$546$	−6.27548	−	31.9490i	−0.268566	−	1.36729i
$547$			41.6594i			1.78123i	0.454759	+	0.890615i	$0.349726\pi$
$547$			41.6594i			1.78123i	−0.454759	+	0.890615i	$0.650274\pi$
$548$	3.43519	+	1.44224i	0.146744	+	0.0616093i
$549$	−22.3836	+	22.3836i	−0.955308	+	0.955308i
$550$	−1.22449	+	2.91809i	−0.0522124	+	0.124428i
$551$	−0.0697306	−	0.0697306i	−0.00297063	−	0.00297063i
$552$	−6.35456	−	1.31157i	−0.270468	−	0.0558243i
$553$	39.3560	−	39.3560i	1.67359	−	1.67359i
$554$	15.8217	+	10.6267i	0.672202	+	0.451485i
$555$	−7.82507	−	2.38315i	−0.332156	−	0.101159i
$556$	−9.88063	+	23.5342i	−0.419032	+	0.998072i
$557$	−9.76367	+	9.76367i	−0.413700	+	0.413700i	−0.883025	−	0.469325i	$-0.844497\pi$
$557$	−9.76367	+	9.76367i	−0.413700	+	0.413700i	0.469325	+	0.883025i	$0.344497\pi$
$558$	−16.6130	+	3.26315i	−0.703284	+	0.138140i
$559$		−	14.8622i		−	0.628606i
$560$	−31.5289	+	16.4216i	−1.33234	+	0.693939i
$561$	4.20961	−	0.562532i	0.177730	−	0.0237501i
$562$	−4.32070	+	6.43295i	−0.182258	+	0.271357i
$563$	0.0733436	+	0.0733436i	0.00309107	+	0.00309107i	0.708651	−	0.705560i	$-0.249304\pi$
$563$	0.0733436	+	0.0733436i	0.00309107	+	0.00309107i	−0.705560	+	0.708651i	$0.749304\pi$
$564$	17.4178	−	41.4866i	0.733422	−	1.74690i
$565$	11.9649	+	3.64395i	0.503368	+	0.153302i
$566$	−13.9227	+	20.7291i	−0.585217	+	0.871310i
$567$	42.1867			1.77168
$568$	−23.1601	−	35.2070i	−0.971775	−	1.47725i
$569$	−16.9947			−0.712455			−0.356227	−	0.934399i	$-0.615937\pi$
$569$	−16.9947			−0.712455			−0.356227	+	0.934399i	$0.615937\pi$
$570$	15.9657	−	13.0094i	0.668728	−	0.544904i
$571$	−8.53314	−	8.53314i	−0.357101	−	0.357101i	0.505642	−	0.862743i	$-0.331256\pi$
$571$	−8.53314	−	8.53314i	−0.357101	−	0.357101i	−0.862743	+	0.505642i	$0.831256\pi$
$572$	2.08538	−	0.852104i	0.0871943	−	0.0356283i
$573$		−	5.88475i		−	0.245839i
$574$	47.6919	−	9.36771i	1.99062	−	0.391001i
$575$	−2.77787	+	4.13758i	−0.115845	+	0.172549i
$576$	−16.8766	−	7.27660i	−0.703191	−	0.303192i
$577$	15.1656	−	15.1656i	0.631352	−	0.631352i	−0.317055	−	0.948407i	$-0.602694\pi$
$577$	15.1656	−	15.1656i	0.631352	−	0.631352i	0.948407	+	0.317055i	$0.102694\pi$
$578$	−7.69398	+	22.7772i	−0.320027	+	0.947408i
$579$	−39.6136			−1.64629
$580$	0.119893	+	0.0995828i	0.00497828	+	0.00413495i
$581$	−22.2180	−	22.2180i	−0.921760	−	0.921760i
$582$	31.4094	+	21.0962i	1.30196	+	0.874465i
$583$	5.74899			0.238099
$584$	18.1636	+	3.74894i	0.751613	+	0.155132i
$585$	−6.08196	−	11.4088i	−0.251458	−	0.471697i
$586$	0.0664549	+	0.338328i	0.00274523	+	0.0139762i
$587$	−7.76411	+	7.76411i	−0.320459	+	0.320459i	−0.848943	−	0.528484i	$-0.822761\pi$
$587$	−7.76411	+	7.76411i	−0.320459	+	0.320459i	0.528484	+	0.848943i	$0.322761\pi$
$588$	−15.3165	−	37.4847i	−0.631643	−	1.54584i
$589$	10.4268	+	10.4268i	0.429627	+	0.429627i
$590$	10.4974	−	8.55363i	0.432170	−	0.352148i
$591$		−	19.7924i		−	0.814151i
$592$	4.53843	−	4.45223i	0.186528	−	0.182985i
$593$	11.9777	−	11.9777i	0.491864	−	0.491864i	−0.417029	−	0.908893i	$-0.636929\pi$
$593$	11.9777	−	11.9777i	0.491864	−	0.491864i	0.908893	+	0.417029i	$0.136929\pi$
$594$	0.197292	+	1.00443i	0.00809498	+	0.0412122i
$595$	29.7674	−	21.3689i	1.22034	−	0.876039i
$596$	18.8916	−	7.71924i	0.773828	−	0.316192i
$597$	−30.0205	−	30.0205i	−1.22866	−	1.22866i
$598$	3.48111	−	0.683765i	0.142353	−	0.0279612i
$599$	17.4230			0.711885			0.355943	−	0.934508i	$-0.384160\pi$
$599$	17.4230			0.711885			0.355943	+	0.934508i	$0.384160\pi$
$600$	−23.2312	+	22.7985i	−0.948410	+	0.930747i
$601$	−8.15209	+	8.15209i	−0.332531	+	0.332531i	−0.853547	−	0.521016i	$-0.825553\pi$
$601$	−8.15209	+	8.15209i	−0.332531	+	0.332531i	0.521016	+	0.853547i	$0.325553\pi$
$602$	−6.39737	−	32.5696i	−0.260737	−	1.32744i
$603$	12.8926	+	12.8926i	0.525028	+	0.525028i
$604$	0.459381	+	1.12426i	0.0186919	+	0.0457454i
$605$	−7.03556	+	23.1013i	−0.286036	+	0.939201i
$606$	29.9266	+	20.1003i	1.21569	+	0.816517i
$607$			6.35652i			0.258003i	0.991644	+	0.129002i	$0.0411772\pi$
$607$			6.35652i			0.258003i	−0.991644	+	0.129002i	$0.958823\pi$
$608$	2.93440	+	15.7356i	0.119006	+	0.638162i
$609$	−0.225427	+	0.225427i	−0.00913474	+	0.00913474i
$610$	−43.3487	−	4.42277i	−1.75514	−	0.179073i
$611$			24.6011i			0.995254i
$612$	18.2845	+	4.95523i	0.739109	+	0.200303i
$613$	−25.2273	−	25.2273i	−1.01892	−	1.01892i	−0.999818	−	0.0191017i	$-0.993919\pi$
$613$	−25.2273	−	25.2273i	−1.01892	−	1.01892i	−0.0191017	−	0.999818i	$-0.506081\pi$
$614$	2.34254	+	11.9261i	0.0945371	+	0.481297i
$615$	39.2702	−	20.9347i	1.58353	−	0.844167i
$616$	4.20319	−	2.76497i	0.169351	−	0.111404i
$617$	−14.4676			−0.582442			−0.291221	−	0.956656i	$-0.594062\pi$
$617$	−14.4676			−0.582442			−0.291221	+	0.956656i	$0.594062\pi$
$618$	37.5916	−	7.38381i	1.51216	−	0.297021i
$619$	6.30612	−	6.30612i	0.253464	−	0.253464i	−0.568925	−	0.822389i	$-0.692641\pi$
$619$	6.30612	−	6.30612i	0.253464	−	0.253464i	0.822389	+	0.568925i	$0.192641\pi$
$620$	−17.9275	−	14.8905i	−0.719985	−	0.598018i
$621$			1.61199i			0.0646871i
$622$	31.6932	−	6.22522i	1.27078	−	0.249609i
$623$		−	10.4338i		−	0.418020i
$624$	23.1696	+	0.222159i	0.927527	+	0.00889349i
$625$	9.46499	+	23.1390i	0.378600	+	0.925560i
$626$	−15.7055	−	10.5486i	−0.627717	−	0.421607i
$627$	−2.06099	+	2.06099i	−0.0823081	+	0.0823081i
$628$	4.00049	+	1.67957i	0.159637	+	0.0670222i
$629$	−3.97929	+	5.20684i	−0.158665	+	0.207610i
$630$	−18.2391	−	22.3837i	−0.726663	−	0.891789i
$631$	−10.4038			−0.414169			−0.207084	−	0.978323i	$-0.566397\pi$
$631$	−10.4038			−0.414169			−0.207084	+	0.978323i	$0.566397\pi$
$632$	21.7678	+	33.0905i	0.865877	+	1.31627i
$633$	−45.4627	−	45.4627i	−1.80698	−	1.80698i
$634$	6.72860	−	10.0180i	0.267227	−	0.397865i
$635$	−29.9611	+	15.9721i	−1.18897	+	0.633832i
$636$	54.5210	+	22.8902i	2.16190	+	0.907654i
$637$	15.6553	+	15.6553i	0.620284	+	0.620284i
$638$	−0.0183107	−	0.0122984i	−0.000724927	−	0.000486899i
$639$	24.2031	−	24.2031i	0.957460	−	0.957460i
$640$	−6.90960	−	24.3363i	−0.273126	−	0.961978i
$641$	−7.19778	−	7.19778i	−0.284295	−	0.284295i	0.550524	−	0.834819i	$-0.314428\pi$
$641$	−7.19778	−	7.19778i	−0.284295	−	0.284295i	−0.834819	+	0.550524i	$0.814428\pi$
$642$	25.6187	−	38.1428i	1.01109	−	1.50538i
$643$	33.2263			1.31032			0.655159	−	0.755491i	$-0.272602\pi$
$643$	33.2263			1.31032			0.655159	+	0.755491i	$0.272602\pi$
$644$	7.33429	−	2.99685i	0.289011	−	0.118092i
$645$	−14.2966	−	26.8183i	−0.562930	−	1.05597i
$646$	−5.29650	−	15.6262i	−0.208388	−	0.614807i
$647$	−16.9696	−	16.9696i	−0.667142	−	0.667142i	0.289911	−	0.957054i	$-0.406374\pi$
$647$	−16.9696	−	16.9696i	−0.667142	−	0.667142i	−0.957054	+	0.289911i	$0.906374\pi$
$648$	−6.06854	+	29.4020i	−0.238395	+	1.15502i
$649$	−1.35509	+	1.35509i	−0.0531921	+	0.0531921i
$650$	6.88609	−	16.4103i	0.270095	−	0.643667i
$651$	33.7078	−	33.7078i	1.32111	−	1.32111i
$652$	−16.7200	+	6.83194i	−0.654807	+	0.267560i
$653$	−22.0075			−0.861221			−0.430611	−	0.902538i	$-0.641702\pi$
$653$	−22.0075			−0.861221			−0.430611	+	0.902538i	$0.641702\pi$
$654$	6.34882	+	32.3224i	0.248259	+	1.26391i
$655$	6.89681	−	3.67664i	0.269481	−	0.143658i
$656$	−0.331628	+	34.5864i	−0.0129479	+	1.35037i
$657$			15.0638i			0.587695i
$658$	10.5894	+	53.9116i	0.412818	+	2.10169i
$659$	−24.7282			−0.963275			−0.481637	−	0.876371i	$-0.659958\pi$
$659$	−24.7282			−0.963275			−0.481637	+	0.876371i	$0.659958\pi$
$660$	2.94331	−	3.54361i	0.114568	−	0.137935i
$661$			3.67431i			0.142914i	0.997444	+	0.0714571i	$0.0227649\pi$
$661$			3.67431i			0.142914i	−0.997444	+	0.0714571i	$0.977235\pi$
$662$	22.0508	+	14.8104i	0.857028	+	0.575624i
$663$	−23.6734	+	3.16348i	−0.919397	+	0.122860i
$664$	18.6809	−	12.2888i	0.724960	−	0.476898i
$665$	−7.32658	+	24.0569i	−0.284113	+	0.932885i
$666$	4.28667	+	2.87915i	0.166105	+	0.111565i
$667$	−0.0245621	−	0.0245621i	−0.000951047	−	0.000951047i
$668$	−31.3119	+	12.7943i	−1.21149	+	0.495025i
$669$	−28.8410	−	28.8410i	−1.11506	−	1.11506i
$670$	−2.54745	+	24.9682i	−0.0984165	+	0.964606i
$671$	6.16677			0.238066
$672$	50.8703	−	9.48639i	1.96236	−	0.365945i
$673$	−44.3027			−1.70775			−0.853873	−	0.520482i	$-0.825752\pi$
$673$	−44.3027			−1.70775			−0.853873	+	0.520482i	$0.825752\pi$
$674$	5.89031	+	3.95623i	0.226886	+	0.152388i
$675$	6.71376	+	4.50747i	0.258413	+	0.173493i
$676$	12.3408	−	5.04256i	0.474647	−	0.193945i
$677$	−40.3377			−1.55030			−0.775152	−	0.631774i	$-0.782327\pi$
$677$	−40.3377			−1.55030			−0.775152	+	0.631774i	$0.782327\pi$
$678$	−15.1139	−	10.1513i	−0.580447	−	0.389858i
$679$	−46.2011			−1.77304
$680$	10.6110	+	23.8203i	0.406914	+	0.913467i
$681$	−21.5968			−0.827591
$682$	2.73798	+	1.83897i	0.104843	+	0.0704178i
$683$	−23.5865			−0.902513			−0.451256	−	0.892394i	$-0.649024\pi$
$683$	−23.5865			−0.902513			−0.451256	+	0.892394i	$0.649024\pi$
$684$	−12.0352	+	4.91766i	−0.460176	+	0.188032i
$685$	−3.67574	+	1.95951i	−0.140443	+	0.0748690i
$686$	8.38387	+	5.63104i	0.320097	+	0.214994i
$687$	−59.3939			−2.26602
$688$	23.6196	+	0.226474i	0.900490	+	0.00863426i
$689$	−32.3303			−1.23169
$690$	5.62378	−	4.58246i	0.214094	−	0.174451i
$691$	8.90330	+	8.90330i	0.338697	+	0.338697i	0.855877	−	0.517180i	$-0.173018\pi$
$691$	8.90330	+	8.90330i	0.338697	+	0.338697i	−0.517180	+	0.855877i	$0.673018\pi$
$692$	15.5829	−	6.36729i	0.592372	−	0.242048i
$693$	2.88949	+	2.88949i	0.109763	+	0.109763i
$694$	−16.9874	−	11.4096i	−0.644832	−	0.433102i
$695$	−13.4244	−	25.1822i	−0.509217	−	0.955214i
$696$	−0.124684	−	0.189539i	−0.00472612	−	0.00718444i
$697$	−4.72228	−	35.3383i	−0.178869	−	1.33854i
$698$	−20.8815	−	14.0251i	−0.790377	−	0.530858i
$699$		−	35.5415i		−	1.34430i
$700$	8.02666	−	38.9262i	0.303379	−	1.47127i
$701$	18.0112			0.680275			0.340137	−	0.940376i	$-0.389526\pi$
$701$	18.0112			0.680275			0.340137	+	0.940376i	$0.389526\pi$
$702$	−1.10950	−	5.64856i	−0.0418754	−	0.213191i
$703$		−	4.49746i		−	0.169625i
$704$	1.32242	+	3.32715i	0.0498405	+	0.125397i
$705$	23.6649	+	44.3917i	0.891271	+	1.67189i
$706$	2.33639	+	11.8948i	0.0879312	+	0.447665i
$707$	−44.0200			−1.65554
$708$	−18.2466	+	7.45569i	−0.685748	+	0.280202i
$709$	14.3956	−	14.3956i	0.540637	−	0.540637i	−0.383079	−	0.923716i	$-0.625136\pi$
$709$	14.3956	−	14.3956i	0.540637	−	0.540637i	0.923716	+	0.383079i	$0.125136\pi$
$710$	46.8725	+	4.78229i	1.75909	+	0.179476i
$711$	−22.7481	+	22.7481i	−0.853122	+	0.853122i
$712$	7.27181	+	1.50089i	0.272523	+	0.0562483i
$713$	3.67274	+	3.67274i	0.137545	+	0.137545i
$714$	−50.5168	+	17.1226i	−1.89055	+	0.640798i
$715$	−0.733788	+	2.40940i	−0.0274421	+	0.0901063i
$716$	14.2696	−	5.83068i	0.533281	−	0.217903i
$717$	42.2460			1.57770
$718$	27.6984	−	41.2392i	1.03370	−	1.53904i
$719$	6.05351	+	6.05351i	0.225758	+	0.225758i	0.810918	−	0.585160i	$-0.198968\pi$
$719$	6.05351	+	6.05351i	0.225758	+	0.225758i	−0.585160	+	0.810918i	$0.698968\pi$
$720$	18.2240	−	9.49184i	0.679170	−	0.353740i
$721$	−33.0779	+	33.0779i	−1.23189	+	1.23189i
$722$	−12.9058	−	8.66823i	−0.480306	−	0.322598i
$723$	17.4330	+	17.4330i	0.648341	+	0.648341i
$724$	−11.0674	−	4.64657i	−0.411318	−	0.172688i
$725$	−0.170979	+	0.0336175i	−0.00634998	+	0.00124852i
$726$	19.5996	−	29.1812i	0.727410	−	1.08302i
$727$	−1.28879	−	1.28879i	−0.0477986	−	0.0477986i	0.682803	−	0.730602i	$-0.260761\pi$
$727$	−1.28879	−	1.28879i	−0.0477986	−	0.0477986i	−0.730602	+	0.682803i	$0.760761\pi$
$728$	−23.6373	+	15.5492i	−0.876056	+	0.576293i
$729$	−13.2172			−0.489526
$730$	−16.0747	+	13.0983i	−0.594952	+	0.484789i
$731$	−24.1332	+	3.22493i	−0.892597	+	0.119278i
$732$	58.4830	+	24.5536i	2.16160	+	0.907527i
$733$	29.5695	−	29.5695i	1.09217	−	1.09217i	0.0968766	−	0.995296i	$-0.469115\pi$
$733$	29.5695	−	29.5695i	1.09217	−	1.09217i	0.995296	−	0.0968766i	$-0.0308852\pi$
$734$	13.5209	+	9.08131i	0.499064	+	0.335197i
$735$	43.3088	+	13.1898i	1.59747	+	0.486513i
$736$	1.03362	+	5.54273i	0.0380997	+	0.204308i
$737$		−	3.55197i		−	0.130838i
$738$	−27.5664	+	5.41463i	−1.01473	+	0.199315i
$739$		−	1.53273i		−	0.0563824i	−0.999603	−	0.0281912i	$-0.991025\pi$
$739$		−	1.53273i		−	0.0563824i	0.999603	−	0.0281912i	$-0.00897472\pi$
$740$	0.654978	+	7.07783i	0.0240775	+	0.260186i
$741$	11.5903	−	11.5903i	0.425780	−	0.425780i
$742$	−70.8497	+	13.9164i	−2.60097	+	0.510888i
$743$	14.6366			0.536964			0.268482	−	0.963285i	$-0.413478\pi$
$743$	14.6366			0.536964			0.268482	+	0.963285i	$0.413478\pi$
$744$	18.6438	+	28.3415i	0.683515	+	1.03905i
$745$	−6.64741	+	21.8268i	−0.243542	+	0.799672i
$746$	0.515195	+	2.62290i	0.0188626	+	0.0960314i
$747$	12.8422	+	12.8422i	0.469873	+	0.469873i
$748$	−1.83614	−	3.20133i	−0.0671360	−	0.117052i
$749$			56.1055i			2.05005i
$750$	−3.36015	−	36.2358i	−0.122695	−	1.32315i
$751$	13.3849	−	13.3849i	0.488421	−	0.488421i	−0.419387	−	0.907808i	$-0.637755\pi$
$751$	13.3849	−	13.3849i	0.488421	−	0.488421i	0.907808	+	0.419387i	$0.137755\pi$
$752$	−39.0970	−	0.374877i	−1.42572	−	0.0136704i
$753$			10.3675i			0.377811i
$754$	0.102973	+	0.0691619i	0.00375005	+	0.00251873i
$755$	−1.29894	−	0.395595i	−0.0472731	−	0.0143972i
$756$	−4.86279	−	11.9009i	−0.176858	−	0.432830i
$757$	−11.4594	−	11.4594i	−0.416498	−	0.416498i	0.467497	−	0.883995i	$-0.345156\pi$
$757$	−11.4594	−	11.4594i	−0.416498	−	0.416498i	−0.883995	+	0.467497i	$0.845156\pi$
$758$	0.971419	+	4.94558i	0.0352835	+	0.179631i
$759$	−0.725968	+	0.725968i	−0.0263510	+	0.0263510i
$760$	−15.7125	−	8.56684i	−0.569953	−	0.310752i
$761$	34.4793			1.24987			0.624937	−	0.780675i	$-0.285125\pi$
$761$	34.4793			1.24987			0.624937	+	0.780675i	$0.285125\pi$
$762$	48.4964	−	9.52575i	1.75684	−	0.345082i
$763$	−28.4414	−	28.4414i	−1.02965	−	1.02965i
$764$	−4.73371	+	1.93423i	−0.171260	+	0.0699781i
$765$	−17.2058	+	12.3514i	−0.622079	+	0.446566i
$766$	9.74549	+	49.6151i	0.352119	+	1.79267i
$767$	7.62057	−	7.62057i	0.275163	−	0.275163i
$768$	−0.706128	+	36.8186i	−0.0254802	+	1.32858i
$769$		−	10.3466i		−	0.373108i	−0.982445	−	0.186554i	$-0.940268\pi$
$769$		−	10.3466i		−	0.373108i	0.982445	−	0.186554i	$-0.0597319\pi$
$770$	−0.570935	+	5.59588i	−0.0205751	+	0.201662i
$771$	−38.3905	−	38.3905i	−1.38260	−	1.38260i
$772$	13.0204	+	31.8654i	0.468616	+	1.14686i
$773$	12.7316	−	12.7316i	0.457923	−	0.457923i	−0.440050	−	0.897973i	$-0.645039\pi$
$773$	12.7316	−	12.7316i	0.457923	−	0.457923i	0.897973	+	0.440050i	$0.145039\pi$
$774$	3.69774	+	18.8255i	0.132913	+	0.676670i
$775$	25.5663	−	5.02679i	0.918367	−	0.180568i
$776$	6.64602	−	32.1999i	0.238578	−	1.15591i
$777$	−14.5395			−0.521600
$778$	9.80617	+	6.58632i	0.351568	+	0.236131i
$779$	17.3014	+	17.3014i	0.619886	+	0.619886i
$780$	−16.5522	+	19.9280i	−0.592663	+	0.713538i
$781$	−6.66806			−0.238602
$782$	−1.86565	−	5.50422i	−0.0667155	−	0.196831i
$783$	−0.0398552	+	0.0398552i	−0.00142431	+	0.00142431i
$784$	−25.1185	+	24.6414i	−0.897089	+	0.880049i
$785$	−4.28062	+	2.28197i	−0.152782	+	0.0814469i
$786$	−11.1635	+	2.19275i	−0.398188	+	0.0782128i
$787$		−	2.64490i		−	0.0942805i	−0.998888	−	0.0471402i	$-0.984989\pi$
$787$		−	2.64490i		−	0.0942805i	0.998888	−	0.0471402i	$-0.0150108\pi$
$788$	−15.9211	+	6.50549i	−0.567166	+	0.231749i
$789$	45.7197	+	45.7197i	1.62766	+	1.62766i
$790$	−44.0548	−	4.49480i	−1.56740	−	0.159918i
$791$	22.2316			0.790464
$792$	−2.42949	+	1.59818i	−0.0863280	+	0.0567889i
$793$	−34.6798			−1.23152
$794$	−9.47034	+	14.1001i	−0.336090	+	0.500393i
$795$	−58.3388	+	31.1000i	−2.06906	+	1.10300i
$796$	−14.2813	+	34.0160i	−0.506188	+	1.20566i
$797$	11.6990	+	11.6990i	0.414401	+	0.414401i	0.883269	−	0.468867i	$-0.155338\pi$
$797$	11.6990	+	11.6990i	0.414401	+	0.414401i	−0.468867	+	0.883269i	$0.655338\pi$
$798$	20.4104	−	30.3883i	0.722519	−	1.07573i
$799$	39.9470	−	5.33814i	1.41322	−	0.188850i
$800$	25.9750	+	11.1937i	0.918355	+	0.395757i
$801$			6.03082i			0.213088i
$802$	19.2894	−	3.78885i	0.681132	−	0.133789i
$803$	2.07507	−	2.07507i	0.0732276	−	0.0732276i
$804$	14.1425	−	33.6853i	0.498768	−	1.18799i
$805$	−2.58073	+	8.47384i	−0.0909588	+	0.298664i
$806$	−15.3975	−	10.3417i	−0.542352	−	0.364272i
$807$	9.28486	−	9.28486i	0.326842	−	0.326842i
$808$	6.33227	−	30.6798i	0.222768	−	1.07931i
$809$	−9.42441	−	9.42441i	−0.331345	−	0.331345i	0.521752	−	0.853097i	$-0.325278\pi$
$809$	−9.42441	−	9.42441i	−0.331345	−	0.331345i	−0.853097	+	0.521752i	$0.825278\pi$
$810$	−21.2027	−	26.0208i	−0.744986	−	0.914276i
$811$	−21.2640	+	21.2640i	−0.746680	+	0.746680i	−0.973854	−	0.227174i	$-0.927051\pi$
$811$	−21.2640	+	21.2640i	−0.746680	+	0.746680i	0.227174	+	0.973854i	$0.427051\pi$
$812$	0.255429	+	0.107239i	0.00896379	+	0.00376337i
$813$		−	21.8537i		−	0.766444i
$814$	−0.193889	−	0.987107i	−0.00679581	−	0.0345981i
$815$	5.88331	−	19.3179i	0.206084	−	0.676676i
$816$	−4.66679	−	37.6708i	−0.163370	−	1.31874i
$817$	11.8154	−	11.8154i	0.413369	−	0.413369i
$818$	11.1474	−	16.5970i	0.389759	−	0.580299i
$819$	−16.2495	−	16.2495i	−0.567803	−	0.567803i
$820$	−29.7475	−	24.7082i	−1.03883	−	0.862848i
$821$	−35.8809	−	35.8809i	−1.25225	−	1.25225i	−0.954707	−	0.297546i	$-0.903832\pi$
$821$	−35.8809	−	35.8809i	−1.25225	−	1.25225i	−0.297546	−	0.954707i	$-0.596168\pi$
$822$	5.94972	−	1.16865i	0.207520	−	0.0407615i
$823$			10.3418i			0.360492i	0.983622	+	0.180246i	$0.0576894\pi$
$823$			10.3418i			0.360492i	−0.983622	+	0.180246i	$0.942311\pi$
$824$	−18.2954	−	27.8119i	−0.637351	−	0.968874i
$825$	0.993613	+	5.05352i	0.0345932	+	0.175941i
$826$	13.4197	−	19.9802i	0.466932	−	0.695200i
$827$	25.7269			0.894611			0.447305	−	0.894381i	$-0.352384\pi$
$827$	25.7269			0.894611			0.447305	+	0.894381i	$0.352384\pi$
$828$	−4.23929	+	1.73221i	−0.147326	+	0.0601984i
$829$			20.4977i			0.711914i	0.934502	+	0.355957i	$0.115845\pi$
$829$			20.4977i			0.711914i	−0.934502	+	0.355957i	$0.884155\pi$
$830$	−2.53750	+	24.8707i	−0.0880778	+	0.863274i
$831$	31.0183			1.07601
$832$	−7.43682	−	18.7108i	−0.257825	−	0.648679i
$833$	22.0238	−	28.8178i	0.763081	−	0.998479i
$834$	8.00634	+	40.7610i	0.277237	+	1.41144i
$835$	11.0178	−	36.1769i	0.381286	−	1.25195i
$836$	2.33529	+	0.980451i	0.0807676	+	0.0339096i
$837$	5.95951	−	5.95951i	0.205991	−	0.205991i
$838$	−36.1121	+	7.09320i	−1.24747	+	0.245031i
$839$	−10.8730	+	10.8730i	−0.375377	+	0.375377i	−0.869431	−	0.494054i	$-0.835515\pi$
$839$	−10.8730	+	10.8730i	−0.375377	+	0.375377i	0.494054	+	0.869431i	$0.335515\pi$
$840$	−27.6950	+	50.7957i	−0.955569	+	1.75262i
$841$			28.9988i			0.999958i
$842$	−9.41816	−	6.32572i	−0.324571	−	0.217999i
$843$			12.6117i			0.434370i
$844$	−21.6274	+	51.5133i	−0.744447	+	1.77316i
$845$	−4.34239	+	14.2583i	−0.149383	+	0.490499i
$846$	−6.12078	−	31.1614i	−0.210437	−	1.07135i
$847$			42.9236i			1.47487i
$848$	0.492657	−	51.3806i	0.0169179	−	1.76442i
$849$			40.6392i			1.39473i
$850$	−28.1412	−	7.62072i	−0.965234	−	0.261389i
$851$		−	1.58419i		−	0.0543055i
$852$	−63.2370	−	26.5495i	−2.16646	−	0.909571i
$853$			21.9353i			0.751049i	0.926812	+	0.375524i	$0.122537\pi$
$853$			21.9353i			0.751049i	−0.926812	+	0.375524i	$0.877463\pi$
$854$	−75.9984	+	14.9277i	−2.60061	+	0.510816i
$855$	4.23484	−	13.9051i	0.144828	−	0.475544i
$856$	−39.1028	−	8.07076i	−1.33650	−	0.275853i
$857$		−	36.7404i		−	1.25503i	−0.778605	−	0.627514i	$-0.784072\pi$
$857$		−	36.7404i		−	1.25503i	0.778605	−	0.627514i	$-0.215928\pi$
$858$	2.04418	−	3.04352i	0.0697872	−	0.103904i
$859$			40.8467i			1.39367i	0.717230	+	0.696837i	$0.245410\pi$
$859$			40.8467i			1.39367i	−0.717230	+	0.696837i	$0.754590\pi$
$860$	−16.8737	+	20.3151i	−0.575387	+	0.692739i
$861$	55.9322	−	55.9322i	1.90617	−	1.90617i
$862$	−1.54656	−	7.87368i	−0.0526761	−	0.268179i
$863$	−12.7024	+	12.7024i	−0.432396	+	0.432396i	−0.889443	−	0.457047i	$-0.848907\pi$
$863$	−12.7024	+	12.7024i	−0.432396	+	0.432396i	0.457047	+	0.889443i	$0.348907\pi$
$864$	8.99381	−	1.67718i	0.305976	−	0.0570590i
$865$	−5.48317	+	18.0040i	−0.186434	+	0.612155i
$866$	−11.5971	+	2.27792i	−0.394085	+	0.0774068i
$867$	10.2737	+	37.7541i	0.348912	+	1.28220i
$868$	−38.1940	−	16.0354i	−1.29639	−	0.544278i
$869$	6.26721			0.212601
$870$	0.252341	+	0.0257457i	0.00855514	+	0.000872861i
$871$			19.9750i			0.676828i
$872$	23.9135	−	15.7309i	0.809813	−	0.532717i
$873$	26.7047			0.903817
$874$	3.31105	+	2.22387i	0.111998	+	0.0752237i
$875$	28.0763	+	34.4430i	0.949151	+	1.16439i
$876$	27.9412	−	11.4170i	0.944044	−	0.385744i
$877$		−	24.5364i		−	0.828536i	−0.910155	−	0.414268i	$-0.864038\pi$
$877$		−	24.5364i		−	0.828536i	0.910155	−	0.414268i	$-0.135962\pi$
$878$	4.37379	+	22.2673i	0.147608	+	0.751486i
$879$	0.396786	+	0.396786i	0.0133832	+	0.0133832i
$880$	−3.81792	−	1.20288i	−0.128702	−	0.0405490i
$881$	5.25903	+	5.25903i	0.177181	+	0.177181i	0.790126	−	0.612945i	$-0.210015\pi$
$881$	5.25903	+	5.25903i	0.177181	+	0.177181i	−0.612945	+	0.790126i	$0.710015\pi$
$882$	−23.7251	−	15.9350i	−0.798864	−	0.536558i
$883$	35.0208	−	35.0208i	1.17854	−	1.17854i	0.198428	−	0.980116i	$-0.436417\pi$
$883$	35.0208	−	35.0208i	1.17854	−	1.17854i	0.980116	−	0.198428i	$-0.0635835\pi$
$884$	10.3258	+	18.0031i	0.347295	+	0.605511i
$885$	6.42045	−	21.0816i	0.215821	−	0.708650i
$886$	−4.68850	+	0.920924i	−0.157513	+	0.0309390i
$887$		−	24.6007i		−	0.826012i	−0.910728	−	0.413006i	$-0.864479\pi$
$887$		−	24.6007i		−	0.826012i	0.910728	−	0.413006i	$-0.135521\pi$
$888$	2.09150	−	10.1333i	0.0701861	−	0.340051i
$889$	−42.6734	+	42.6734i	−1.43122	+	1.43122i
$890$	−6.43554	+	5.24392i	−0.215720	+	0.175776i
$891$	3.35899	+	3.35899i	0.112531	+	0.112531i
$892$	−13.7202	+	32.6795i	−0.459386	+	1.09419i
$893$	−19.5577	+	19.5577i	−0.654475	+	0.654475i
$894$	18.5183	−	27.5713i	0.619345	−	0.922122i
$895$	−5.02108	+	16.4867i	−0.167836	+	0.551091i
$896$	−24.3512	−	37.8022i	−0.813518	−	1.26288i
$897$	4.08259	−	4.08259i	0.136314	−	0.136314i
$898$	−8.76401	−	44.6183i	−0.292459	−	1.48893i
$899$			0.181611i			0.00605706i
$900$	−4.63949	+	22.4997i	−0.154650	+	0.749991i
$901$	7.01530	+	52.4977i	0.233713	+	1.74895i
$902$	4.54320	+	3.05145i	0.151272	+	0.101602i
$903$	−38.1971	−	38.1971i	−1.27112	−	1.27112i
$904$	−3.19800	+	15.4943i	−0.106364	+	0.515333i
$905$	11.8424	−	6.31312i	0.393656	−	0.209855i
$906$	1.64080	+	1.10205i	0.0545119	+	0.0366130i
$907$	−3.78494			−0.125677			−0.0628384	−	0.998024i	$-0.520015\pi$
$907$	−3.78494			−0.125677			−0.0628384	+	0.998024i	$0.520015\pi$
$908$	7.09856	+	17.3725i	0.235574	+	0.576528i
$909$	25.4440			0.843924
$910$	3.21074	−	31.4693i	0.106435	−	1.04320i
$911$	38.1615	+	38.1615i	1.26435	+	1.26435i	0.948965	+	0.315381i	$0.102132\pi$
$911$	38.1615	+	38.1615i	1.26435	+	1.26435i	0.315381	+	0.948965i	$0.397868\pi$
$912$	18.2431	+	18.5963i	0.604090	+	0.615787i
$913$		−	3.53809i		−	0.117094i
$914$	−6.00768	−	30.5856i	−0.198716	−	1.01168i
$915$	−62.5783	+	33.3600i	−2.06877	+	1.10285i
$916$	19.5219	+	47.7767i	0.645023	+	1.57859i
$917$	9.82306	−	9.82306i	0.324386	−	0.324386i
$918$	−8.93133	+	3.02726i	−0.294778	+	0.0999146i
$919$	9.18519			0.302991			0.151496	−	0.988458i	$-0.451591\pi$
$919$	9.18519			0.302991			0.151496	+	0.988458i	$0.451591\pi$
$920$	−5.53461	−	3.01760i	−0.182471	−	0.0994873i
$921$	13.9867	+	13.9867i	0.460877	+	0.460877i
$922$	3.69045	−	5.49459i	0.121538	−	0.180955i
$923$	37.4988			1.23429
$924$	3.16962	−	7.54957i	0.104273	−	0.248362i
$925$	−6.59797	−	4.42973i	−0.216940	−	0.145649i
$926$	34.1328	−	6.70443i	1.12167	−	0.220321i
$927$	19.1194	−	19.1194i	0.627962	−	0.627962i
$928$	−0.111484	+	0.162595i	−0.00365964	+	0.00533743i
$929$	−13.9836	−	13.9836i	−0.458785	−	0.458785i	0.439471	−	0.898257i	$-0.355166\pi$
$929$	−13.9836	−	13.9836i	−0.458785	−	0.458785i	−0.898257	+	0.439471i	$0.855166\pi$
$930$	−37.7322	−	3.84973i	−1.23729	−	0.126238i
$931$			24.8917i			0.815792i
$932$	−28.5897	+	11.6820i	−0.936487	+	0.382656i
$933$	37.1692	−	37.1692i	1.21687	−	1.21687i
$934$	−39.5843	+	7.77522i	−1.29524	+	0.254413i
$935$	4.07158	+	0.668708i	0.133155	+	0.0218691i
$936$	13.6626	−	8.98760i	0.446575	−	0.293769i
$937$	−15.8283	−	15.8283i	−0.517089	−	0.517089i	0.399600	−	0.916689i	$-0.369149\pi$
$937$	−15.8283	−	15.8283i	−0.517089	−	0.517089i	−0.916689	+	0.399600i	$0.869149\pi$
$938$	8.59814	+	43.7739i	0.280739	+	1.42927i
$939$	−30.7904			−1.00481
$940$	27.9305	−	33.6271i	0.910994	−	1.09679i
$941$	6.43964	−	6.43964i	0.209926	−	0.209926i	−0.594310	−	0.804236i	$-0.702575\pi$
$941$	6.43964	−	6.43964i	0.209926	−	0.209926i	0.804236	+	0.594310i	$0.202575\pi$
$942$	6.92881	−	1.36097i	0.225753	−	0.0443427i
$943$	6.09427	+	6.09427i	0.198457	+	0.198457i
$944$	11.9948	+	12.2270i	0.390397	+	0.397956i
$945$	13.7499	+	4.18758i	0.447285	+	0.136222i
$946$	2.08389	−	3.10263i	0.0677530	−	0.100875i
$947$		−	10.0320i		−	0.325995i	−0.986626	−	0.162998i	$-0.947884\pi$
$947$		−	10.0320i		−	0.325995i	0.986626	−	0.162998i	$-0.0521163\pi$
$948$	59.4356	+	24.9535i	1.93038	+	0.810452i
$949$	−11.6695	+	11.6695i	−0.378807	+	0.378807i
$950$	18.5206	−	7.57173i	0.600886	−	0.245659i
$951$		−	19.6401i		−	0.636875i
$952$	30.3777	+	35.0080i	0.984547	+	1.13462i
$953$	22.3729	+	22.3729i	0.724730	+	0.724730i	0.969565	−	0.244835i	$-0.0787338\pi$
$953$	22.3729	+	22.3729i	0.724730	+	0.724730i	−0.244835	+	0.969565i	$0.578734\pi$
$954$	40.9518	−	8.04383i	1.32586	−	0.260428i
$955$	1.66566	−	5.46921i	0.0538995	−	0.176979i
$956$	−13.8857	−	33.9828i	−0.449094	−	1.09908i
$957$	−0.0358979			−0.00116041
$958$	6.31715	+	32.1612i	0.204098	+	1.03908i
$959$	−5.23532	+	5.23532i	−0.169057	+	0.169057i
$960$	−31.4181	−	26.6090i	−1.01402	−	0.858802i
$961$			3.84389i			0.123997i
$962$	1.09036	+	5.55114i	0.0351548	+	0.178976i
$963$		−	32.4295i		−	1.04503i
$964$	8.29320	−	19.7532i	0.267106	−	0.636207i
$965$	−36.8164	−	11.2125i	−1.18516	−	0.360944i
$966$	7.18938	−	10.7040i	0.231315	−	0.344397i
$967$	34.4166	−	34.4166i	1.10676	−	1.10676i	0.113189	−	0.993573i	$-0.463893\pi$
$967$	34.4166	−	34.4166i	1.10676	−	1.10676i	0.993573	−	0.113189i	$-0.0361066\pi$
$968$	−29.9156	−	6.17455i	−0.961524	−	0.198457i
$969$	−21.3352	−	16.3052i	−0.685384	−	0.523800i
$970$	23.2203	+	28.4969i	0.745558	+	0.914979i
$971$	−13.1804			−0.422980			−0.211490	−	0.977380i	$-0.567832\pi$
$971$	−13.1804			−0.422980			−0.211490	+	0.977380i	$0.567832\pi$
$972$	14.8106	+	36.2465i	0.475051	+	1.16261i
$973$	−35.8667	−	35.8667i	−1.14983	−	1.14983i
$974$	−18.0793	−	12.1430i	−0.579298	−	0.389086i
$975$	−5.58773	−	28.4192i	−0.178951	−	0.910144i
$976$	0.528459	−	55.1144i	0.0169156	−	1.76417i
$977$	39.7241	+	39.7241i	1.27089	+	1.27089i	0.945623	+	0.325263i	$0.105453\pi$
$977$	39.7241	+	39.7241i	1.27089	+	1.27089i	0.325263	+	0.945623i	$0.394547\pi$
$978$	−16.3897	+	24.4021i	−0.524085	+	0.780293i
$979$	0.830758	−	0.830758i	0.0265511	−	0.0265511i
$980$	−3.62505	−	39.1730i	−0.115798	−	1.25134i
$981$	16.4394	+	16.4394i	0.524869	+	0.524869i
$982$	−9.64057	−	6.47510i	−0.307643	−	0.206629i
$983$	50.7915			1.62000			0.809999	−	0.586432i	$-0.199468\pi$
$983$	50.7915			1.62000			0.809999	+	0.586432i	$0.199468\pi$
$984$	30.9361	+	47.0278i	0.986208	+	1.49919i
$985$	5.60219	−	18.3948i	0.178501	−	0.586107i
$986$	0.0899606	−	0.182214i	0.00286493	−	0.00580287i
$987$	63.2267	+	63.2267i	2.01253	+	2.01253i
$988$	−13.1328	−	5.51371i	−0.417811	−	0.175415i
$989$	4.16188	−	4.16188i	0.132340	−	0.132340i
$990$	0.330006	−	3.23447i	0.0104883	−	0.102798i
$991$	3.49531	−	3.49531i	0.111032	−	0.111032i	−0.649408	−	0.760440i	$-0.724983\pi$
$991$	3.49531	−	3.49531i	0.111032	−	0.111032i	0.760440	+	0.649408i	$0.224983\pi$
$992$	16.6701	−	24.3126i	0.529276	−	0.771927i
$993$	43.2302			1.37187
$994$	82.1761	−	16.1412i	2.60647	−	0.511967i
$995$	−19.4035	−	36.3979i	−0.615131	−	1.15389i
$996$	14.0873	−	33.5538i	0.446372	−	1.06319i
$997$		−	29.5083i		−	0.934537i	−0.884115	−	0.467269i	$-0.845238\pi$
$997$		−	29.5083i		−	0.934537i	0.884115	−	0.467269i	$-0.154762\pi$
$998$	11.6238	−	2.28317i	0.367946	−	0.0722725i
$999$	−2.57056			−0.0813290

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	340.2.s.c.183.10	yes	96
4.3	odd	2	inner	340.2.s.c.183.15	yes	96
5.2	odd	4		340.2.i.c.47.34	✓	96
17.4	even	4		340.2.i.c.123.39	yes	96
20.7	even	4		340.2.i.c.47.39	yes	96
68.55	odd	4		340.2.i.c.123.34	yes	96
85.72	odd	4	inner	340.2.s.c.327.15	yes	96
340.327	even	4	inner	340.2.s.c.327.10	yes	96

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
340.2.i.c.47.34	✓	96	5.2	odd	4
340.2.i.c.47.39	yes	96	20.7	even	4
340.2.i.c.123.34	yes	96	68.55	odd	4
340.2.i.c.123.39	yes	96	17.4	even	4
340.2.s.c.183.10	yes	96	1.1	even	1	trivial
340.2.s.c.183.15	yes	96	4.3	odd	2	inner
340.2.s.c.327.10	yes	96	340.327	even	4	inner
340.2.s.c.327.15	yes	96	85.72	odd	4	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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 340 = 2^{2} \cdot 5 \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	340.s (of order \(4\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.17399 - 0.788511i) q^{2} -2.30159 q^{3} +(0.756500 + 1.85141i) q^{4} +(-2.13907 - 0.651458i) q^{5} +(2.70204 + 1.81483i) q^{6} -3.97452 q^{7} +(0.571733 - 2.77004i) q^{8} +2.29731 q^{9} +(1.99756 + 2.45148i) q^{10} +(-0.316459 - 0.316459i) q^{11} +(-1.74115 - 4.26118i) q^{12} +(1.77966 + 1.77966i) q^{13} +(4.66604 + 3.13395i) q^{14} +(4.92325 + 1.49939i) q^{15} +(-2.85542 + 2.80118i) q^{16} +(2.50362 - 3.27595i) q^{17} +(-2.69702 - 1.81145i) q^{18} +2.82964i q^{19} +(-0.412089 - 4.45311i) q^{20} +9.14770 q^{21} +(0.121988 + 0.621051i) q^{22} +0.996717i q^{23} +(-1.31589 + 6.37549i) q^{24} +(4.15120 + 2.78702i) q^{25} +(-0.686018 - 3.49258i) q^{26} +1.61730 q^{27} +(-3.00672 - 7.35845i) q^{28} +(-0.0246430 + 0.0246430i) q^{29} +(-4.59755 - 5.64230i) q^{30} +(3.68484 - 3.68484i) q^{31} +(5.56099 - 1.03702i) q^{32} +(0.728359 + 0.728359i) q^{33} +(-5.52235 + 1.87180i) q^{34} +(8.50175 + 2.58923i) q^{35} +(1.73791 + 4.25325i) q^{36} -1.58941 q^{37} +(2.23120 - 3.32196i) q^{38} +(-4.09604 - 4.09604i) q^{39} +(-3.02754 + 5.55284i) q^{40} +(6.11435 - 6.11435i) q^{41} +(-10.7393 - 7.21307i) q^{42} +(-4.17559 - 4.17559i) q^{43} +(0.346494 - 0.825296i) q^{44} +(-4.91410 - 1.49660i) q^{45} +(0.785922 - 1.17013i) q^{46} +(6.91175 + 6.91175i) q^{47} +(6.57199 - 6.44716i) q^{48} +8.79678 q^{49} +(-2.67587 - 6.54521i) q^{50} +(-5.76231 + 7.53989i) q^{51} +(-1.94856 + 4.64118i) q^{52} +(-9.08331 + 9.08331i) q^{53} +(-1.89870 - 1.27526i) q^{54} +(0.470767 + 0.883087i) q^{55} +(-2.27236 + 11.0096i) q^{56} -6.51266i q^{57} +(0.0483618 - 0.00949931i) q^{58} -4.28205i q^{59} +(0.948458 + 10.2492i) q^{60} +(-9.74339 + 9.74339i) q^{61} +(-7.23150 + 1.42042i) q^{62} -9.13069 q^{63} +(-7.34624 - 3.16745i) q^{64} +(-2.64743 - 4.96617i) q^{65} +(-0.280766 - 1.42940i) q^{66} +(5.61205 + 5.61205i) q^{67} +(7.95911 + 2.15697i) q^{68} -2.29403i q^{69} +(-7.93932 - 9.74346i) q^{70} +(10.5354 - 10.5354i) q^{71} +(1.31345 - 6.36364i) q^{72} +6.55715i q^{73} +(1.86595 + 1.25327i) q^{74} +(-9.55436 - 6.41458i) q^{75} +(-5.23881 + 2.14062i) q^{76} +(1.25777 + 1.25777i) q^{77} +(1.57893 + 8.03847i) q^{78} +(-9.90208 + 9.90208i) q^{79} +(7.93277 - 4.13172i) q^{80} -10.6143 q^{81} +(-11.9994 + 2.35694i) q^{82} +(5.59012 + 5.59012i) q^{83} +(6.92024 + 16.9361i) q^{84} +(-7.48956 + 5.37647i) q^{85} +(1.60960 + 8.19460i) q^{86} +(0.0567180 - 0.0567180i) q^{87} +(-1.05754 + 0.695675i) q^{88} +2.62516i q^{89} +(4.58901 + 5.63181i) q^{90} +(-7.07327 - 7.07327i) q^{91} +(-1.84533 + 0.754016i) q^{92} +(-8.48099 + 8.48099i) q^{93} +(-2.66433 - 13.5643i) q^{94} +(1.84339 - 6.05278i) q^{95} +(-12.7991 + 2.38680i) q^{96} +11.6243 q^{97} +(-10.3273 - 6.93636i) q^{98} +(-0.727005 - 0.727005i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 96 q + 4 q^{2} - 8 q^{5} - 8 q^{8} + 96 q^{9} - 10 q^{10} - 16 q^{12} - 8 q^{13} - 16 q^{14} - 8 q^{17} - 24 q^{18} + 18 q^{20} - 16 q^{21} - 12 q^{22} - 8 q^{24} - 52 q^{28} - 8 q^{29} - 24 q^{30} - 36 q^{32}+ \cdots - 12 q^{98}+O(q^{100}) \) 96 * q + 4 * q^2 - 8 * q^5 - 8 * q^8 + 96 * q^9 - 10 * q^10 - 16 * q^12 - 8 * q^13 - 16 * q^14 - 8 * q^17 - 24 * q^18 + 18 * q^20 - 16 * q^21 - 12 * q^22 - 8 * q^24 - 52 * q^28 - 8 * q^29 - 24 * q^30 - 36 * q^32 - 8 * q^33 - 16 * q^34 - 16 * q^37 + 4 * q^38 - 10 * q^40 + 8 * q^41 - 16 * q^42 + 8 * q^44 - 40 * q^45 - 24 * q^46 + 80 * q^49 - 24 * q^50 + 12 * q^52 - 4 * q^54 - 12 * q^56 - 32 * q^60 + 48 * q^61 - 40 * q^65 + 52 * q^68 - 28 * q^70 + 8 * q^72 + 20 * q^74 - 56 * q^77 + 20 * q^78 + 22 * q^80 - 16 * q^81 + 12 * q^82 - 32 * q^85 + 8 * q^86 + 22 * q^90 - 24 * q^93 + 112 * q^94 + 40 * q^96 + 64 * q^97 - 12 * q^98

Introduction

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