LMFDB - Embedded newform 287.2.e.d.247.11

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [287,2,Mod(165,287)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(287, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([4, 0]))

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

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

chi := DirichletCharacter("287.165");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 287 = 7 \cdot 41 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	287.e (of order $3$, degree $2$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

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

Self dual:	no
Analytic conductor:	$2.29170653801$
Analytic rank:	$0$
Dimension:	$34$
Relative dimension:	$17$ over $\Q(\zeta_{3})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label			247.11
Character	$\chi$	$=$	287.247
Dual form			287.2.e.d.165.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.451240 - 0.781570i) q^{2} +(1.66259 + 2.87969i) q^{3} +(0.592766 + 1.02670i) q^{4} +(0.469181 - 0.812645i) q^{5} +3.00091 q^{6} +(1.14720 - 2.38410i) q^{7} +2.87488 q^{8} +(-4.02843 + 6.97744i) q^{9} +O(q^{10})$	\(q+(0.451240 - 0.781570i) q^{2} +(1.66259 + 2.87969i) q^{3} +(0.592766 + 1.02670i) q^{4} +(0.469181 - 0.812645i) q^{5} +3.00091 q^{6} +(1.14720 - 2.38410i) q^{7} +2.87488 q^{8} +(-4.02843 + 6.97744i) q^{9} +(-0.423426 - 0.733395i) q^{10} +(-2.73018 - 4.72882i) q^{11} +(-1.97106 + 3.41397i) q^{12} -2.52551 q^{13} +(-1.34568 - 1.97242i) q^{14} +3.12023 q^{15} +(0.111726 - 0.193516i) q^{16} +(-3.35567 - 5.81218i) q^{17} +(3.63557 + 6.29699i) q^{18} +(-0.428704 + 0.742537i) q^{19} +1.11246 q^{20} +(8.77281 - 0.660185i) q^{21} -4.92787 q^{22} +(-2.38342 + 4.12820i) q^{23} +(4.77975 + 8.27876i) q^{24} +(2.05974 + 3.56757i) q^{25} +(-1.13961 + 1.97386i) q^{26} -16.8150 q^{27} +(3.12778 - 0.235376i) q^{28} +3.28519 q^{29} +(1.40797 - 2.43867i) q^{30} +(-0.0596187 - 0.103263i) q^{31} +(2.77404 + 4.80479i) q^{32} +(9.07836 - 15.7242i) q^{33} -6.05684 q^{34} +(-1.39918 - 2.05084i) q^{35} -9.55165 q^{36} +(1.90949 - 3.30733i) q^{37} +(0.386896 + 0.670124i) q^{38} +(-4.19889 - 7.27268i) q^{39} +(1.34884 - 2.33625i) q^{40} +1.00000 q^{41} +(3.44266 - 7.15446i) q^{42} +1.64508 q^{43} +(3.23672 - 5.60616i) q^{44} +(3.78012 + 6.54736i) q^{45} +(2.15098 + 3.72561i) q^{46} +(-2.36841 + 4.10220i) q^{47} +0.743022 q^{48} +(-4.36784 - 5.47009i) q^{49} +3.71774 q^{50} +(11.1582 - 19.3266i) q^{51} +(-1.49703 - 2.59294i) q^{52} +(-1.12195 - 1.94328i) q^{53} +(-7.58758 + 13.1421i) q^{54} -5.12380 q^{55} +(3.29807 - 6.85398i) q^{56} -2.85104 q^{57} +(1.48241 - 2.56761i) q^{58} +(-2.22327 - 3.85081i) q^{59} +(1.84956 + 3.20354i) q^{60} +(-5.98023 + 10.3581i) q^{61} -0.107609 q^{62} +(12.0135 + 17.6087i) q^{63} +5.45394 q^{64} +(-1.18492 + 2.05234i) q^{65} +(-8.19303 - 14.1907i) q^{66} +(5.86555 + 10.1594i) q^{67} +(3.97825 - 6.89053i) q^{68} -15.8506 q^{69} +(-2.23424 + 0.168135i) q^{70} +9.78432 q^{71} +(-11.5812 + 20.0593i) q^{72} +(1.85766 + 3.21756i) q^{73} +(-1.72327 - 2.98479i) q^{74} +(-6.84901 + 11.8628i) q^{75} -1.01648 q^{76} +(-14.4060 + 1.08411i) q^{77} -7.57881 q^{78} +(1.40646 - 2.43606i) q^{79} +(-0.104840 - 0.181588i) q^{80} +(-15.8711 - 27.4896i) q^{81} +(0.451240 - 0.781570i) q^{82} +3.41464 q^{83} +(5.87803 + 8.61571i) q^{84} -6.29766 q^{85} +(0.742326 - 1.28575i) q^{86} +(5.46194 + 9.46036i) q^{87} +(-7.84894 - 13.5948i) q^{88} +(7.12084 - 12.3337i) q^{89} +6.82296 q^{90} +(-2.89727 + 6.02105i) q^{91} -5.65123 q^{92} +(0.198243 - 0.343367i) q^{93} +(2.13744 + 3.70215i) q^{94} +(0.402280 + 0.696769i) q^{95} +(-9.22421 + 15.9768i) q^{96} -8.40546 q^{97} +(-6.24621 + 0.945452i) q^{98} +43.9934 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 34 q - 3 q^{2} - q^{3} - 25 q^{4} + q^{5} + 4 q^{6} - 2 q^{7} + 18 q^{8} - 26 q^{9}+O(q^{10}) $ 34 * q - 3 * q^2 - q^3 - 25 * q^4 + q^5 + 4 * q^6 - 2 * q^7 + 18 * q^8 - 26 * q^9	\( 34 q - 3 q^{2} - q^{3} - 25 q^{4} + q^{5} + 4 q^{6} - 2 q^{7} + 18 q^{8} - 26 q^{9} + 2 q^{10} - 15 q^{11} - 4 q^{12} - 10 q^{13} + 21 q^{14} + 48 q^{15} - 33 q^{16} - 4 q^{17} - 10 q^{18} - 5 q^{19} - 52 q^{20} + 12 q^{21} + 32 q^{22} - 12 q^{23} - 16 q^{24} - 24 q^{25} - 31 q^{26} - 22 q^{27} + 60 q^{28} + 28 q^{29} + 33 q^{30} + 3 q^{31} - 16 q^{32} - 4 q^{33} - 48 q^{34} + 45 q^{35} + 114 q^{36} - 24 q^{37} - 45 q^{39} - 36 q^{40} + 34 q^{41} + 65 q^{42} + 28 q^{43} + 9 q^{44} + 21 q^{45} - 44 q^{46} - 19 q^{47} - 120 q^{48} - 10 q^{49} - 8 q^{50} - 2 q^{51} + 25 q^{52} - 4 q^{53} - 68 q^{54} + 18 q^{55} + 25 q^{56} - 24 q^{57} + q^{58} + 27 q^{59} - 66 q^{60} + q^{61} - 46 q^{62} + 37 q^{63} + 150 q^{64} - 22 q^{65} + 16 q^{66} - 49 q^{67} - 45 q^{68} + 24 q^{69} + 73 q^{70} + 80 q^{71} + 23 q^{72} + 14 q^{73} - 33 q^{74} - 27 q^{75} - 18 q^{76} - 20 q^{77} - 24 q^{78} - 61 q^{79} + 82 q^{80} - 53 q^{81} - 3 q^{82} - 36 q^{83} + 188 q^{84} - 26 q^{85} + 4 q^{86} + 17 q^{87} - 74 q^{88} - 18 q^{89} - 40 q^{90} + 7 q^{91} + 56 q^{92} + 36 q^{93} + 5 q^{94} - 20 q^{95} - 148 q^{96} + 52 q^{97} + 142 q^{98} + 76 q^{99}+O(q^{100}) \) 34 * q - 3 * q^2 - q^3 - 25 * q^4 + q^5 + 4 * q^6 - 2 * q^7 + 18 * q^8 - 26 * q^9 + 2 * q^10 - 15 * q^11 - 4 * q^12 - 10 * q^13 + 21 * q^14 + 48 * q^15 - 33 * q^16 - 4 * q^17 - 10 * q^18 - 5 * q^19 - 52 * q^20 + 12 * q^21 + 32 * q^22 - 12 * q^23 - 16 * q^24 - 24 * q^25 - 31 * q^26 - 22 * q^27 + 60 * q^28 + 28 * q^29 + 33 * q^30 + 3 * q^31 - 16 * q^32 - 4 * q^33 - 48 * q^34 + 45 * q^35 + 114 * q^36 - 24 * q^37 - 45 * q^39 - 36 * q^40 + 34 * q^41 + 65 * q^42 + 28 * q^43 + 9 * q^44 + 21 * q^45 - 44 * q^46 - 19 * q^47 - 120 * q^48 - 10 * q^49 - 8 * q^50 - 2 * q^51 + 25 * q^52 - 4 * q^53 - 68 * q^54 + 18 * q^55 + 25 * q^56 - 24 * q^57 + q^58 + 27 * q^59 - 66 * q^60 + q^61 - 46 * q^62 + 37 * q^63 + 150 * q^64 - 22 * q^65 + 16 * q^66 - 49 * q^67 - 45 * q^68 + 24 * q^69 + 73 * q^70 + 80 * q^71 + 23 * q^72 + 14 * q^73 - 33 * q^74 - 27 * q^75 - 18 * q^76 - 20 * q^77 - 24 * q^78 - 61 * q^79 + 82 * q^80 - 53 * q^81 - 3 * q^82 - 36 * q^83 + 188 * q^84 - 26 * q^85 + 4 * q^86 + 17 * q^87 - 74 * q^88 - 18 * q^89 - 40 * q^90 + 7 * q^91 + 56 * q^92 + 36 * q^93 + 5 * q^94 - 20 * q^95 - 148 * q^96 + 52 * q^97 + 142 * q^98 + 76 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/287\mathbb{Z}\right)^\times$.

$n$	$206$	$211$
$\chi(n)$	$e\left(\frac{1}{3}\right)$	$1$

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 $

$2$	0.451240	−	0.781570i	0.319075	−	0.552653i	−0.661221	−	0.750191i	$-0.729961\pi$
$2$	0.451240	−	0.781570i	0.319075	−	0.552653i	0.980295	+	0.197538i	$0.0632946\pi$
$3$	1.66259	+	2.87969i	0.959898	+	1.66259i	0.722739	+	0.691121i	$0.242883\pi$
$3$	1.66259	+	2.87969i	0.959898	+	1.66259i	0.237159	+	0.971471i	$0.423784\pi$
$4$	0.592766	+	1.02670i	0.296383	+	0.513350i
$5$	0.469181	−	0.812645i	0.209824	−	0.363426i	−0.741835	−	0.670583i	$-0.766044\pi$
$5$	0.469181	−	0.812645i	0.209824	−	0.363426i	0.951659	+	0.307157i	$0.0993775\pi$
$6$	3.00091			1.22512
$7$	1.14720	−	2.38410i	0.433602	−	0.901104i
$7$	1.14720	−	2.38410i	0.433602	−	0.901104i
$8$	2.87488			1.01642
$9$	−4.02843	+	6.97744i	−1.34281	+	2.32581i
$10$	−0.423426	−	0.733395i	−0.133899	−	0.231920i
$11$	−2.73018	−	4.72882i	−0.823181	−	1.42579i	−0.903301	−	0.429006i	$-0.858864\pi$
$11$	−2.73018	−	4.72882i	−0.823181	−	1.42579i	0.0801202	−	0.996785i	$-0.474470\pi$
$12$	−1.97106	+	3.41397i	−0.568995	+	0.985528i
$13$	−2.52551			−0.700449			−0.350225	−	0.936666i	$-0.613895\pi$
$13$	−2.52551			−0.700449			−0.350225	+	0.936666i	$0.613895\pi$
$14$	−1.34568	−	1.97242i	−0.359647	−	0.527151i
$15$	3.12023			0.805639
$16$	0.111726	−	0.193516i	0.0279316	−	0.0483790i
$17$	−3.35567	−	5.81218i	−0.813868	−	1.40966i	−0.910138	−	0.414306i	$-0.864024\pi$
$17$	−3.35567	−	5.81218i	−0.813868	−	1.40966i	0.0962691	−	0.995355i	$-0.469309\pi$
$18$	3.63557	+	6.29699i	0.856912	+	1.48422i
$19$	−0.428704	+	0.742537i	−0.0983514	+	0.170350i	−0.911002	−	0.412401i	$-0.864690\pi$
$19$	−0.428704	+	0.742537i	−0.0983514	+	0.170350i	0.812651	+	0.582751i	$0.198024\pi$
$20$	1.11246			0.248753
$21$	8.77281	−	0.660185i	1.91438	−	0.144064i
$22$	−4.92787			−1.05062
$23$	−2.38342	+	4.12820i	−0.496977	+	0.860789i	−0.999994	−	0.00348754i	$-0.998890\pi$
$23$	−2.38342	+	4.12820i	−0.496977	+	0.860789i	0.503017	+	0.864276i	$0.332223\pi$
$24$	4.77975	+	8.27876i	0.975662	+	1.68990i
$25$	2.05974	+	3.56757i	0.411948	+	0.713514i
$26$	−1.13961	+	1.97386i	−0.223496	+	0.387106i
$27$	−16.8150			−3.23604
$28$	3.12778	−	0.235376i	0.591094	−	0.0444819i
$29$	3.28519			0.610045			0.305023	−	0.952345i	$-0.401336\pi$
$29$	3.28519			0.610045			0.305023	+	0.952345i	$0.401336\pi$
$30$	1.40797	−	2.43867i	0.257059	−	0.445239i
$31$	−0.0596187	−	0.103263i	−0.0107078	−	0.0185465i	0.860622	−	0.509245i	$-0.170075\pi$
$31$	−0.0596187	−	0.103263i	−0.0107078	−	0.0185465i	−0.871330	+	0.490698i	$0.836742\pi$
$32$	2.77404	+	4.80479i	0.490386	+	0.849374i
$33$	9.07836	−	15.7242i	1.58034	−	2.73723i
$34$	−6.05684			−1.03874
$35$	−1.39918	−	2.05084i	−0.236504	−	0.346656i
$36$	−9.55165			−1.59194
$37$	1.90949	−	3.30733i	0.313917	−	0.543721i	−0.665289	−	0.746586i	$-0.731692\pi$
$37$	1.90949	−	3.30733i	0.313917	−	0.543721i	0.979207	+	0.202865i	$0.0650252\pi$
$38$	0.386896	+	0.670124i	0.0627629	+	0.108709i
$39$	−4.19889	−	7.27268i	−0.672360	−	1.16456i
$40$	1.34884	−	2.33625i	0.213270	−	0.369394i
$41$	1.00000			0.156174
$41$	1.00000			0.156174
$42$	3.44266	−	7.15446i	0.531213	−	1.10396i
$43$	1.64508			0.250873			0.125436	−	0.992102i	$-0.459967\pi$
$43$	1.64508			0.250873			0.125436	+	0.992102i	$0.459967\pi$
$44$	3.23672	−	5.60616i	0.487954	−	0.845160i
$45$	3.78012	+	6.54736i	0.563507	+	0.976023i
$46$	2.15098	+	3.72561i	0.317145	+	0.549312i
$47$	−2.36841	+	4.10220i	−0.345468	+	0.598367i	−0.985439	−	0.170032i	$-0.945613\pi$
$47$	−2.36841	+	4.10220i	−0.345468	+	0.598367i	0.639971	+	0.768399i	$0.278946\pi$
$48$	0.743022			0.107246
$49$	−4.36784	−	5.47009i	−0.623978	−	0.781442i
$50$	3.71774			0.525768
$51$	11.1582	−	19.3266i	1.56246	−	2.70626i
$52$	−1.49703	−	2.59294i	−0.207601	−	0.359576i
$53$	−1.12195	−	1.94328i	−0.154112	−	0.266930i	0.778623	−	0.627492i	$-0.215918\pi$
$53$	−1.12195	−	1.94328i	−0.154112	−	0.266930i	−0.932735	+	0.360562i	$0.882585\pi$
$54$	−7.58758	+	13.1421i	−1.03254	+	1.78841i
$55$	−5.12380			−0.690893
$56$	3.29807	−	6.85398i	0.440723	−	0.915902i
$57$	−2.85104			−0.377629
$58$	1.48241	−	2.56761i	0.194650	−	0.337144i
$59$	−2.22327	−	3.85081i	−0.289445	−	0.501333i	0.684233	−	0.729264i	$-0.260137\pi$
$59$	−2.22327	−	3.85081i	−0.289445	−	0.501333i	−0.973677	+	0.227931i	$0.926804\pi$
$60$	1.84956	+	3.20354i	0.238778	+	0.413575i
$61$	−5.98023	+	10.3581i	−0.765690	+	1.32621i	0.174192	+	0.984712i	$0.444269\pi$
$61$	−5.98023	+	10.3581i	−0.765690	+	1.32621i	−0.939881	+	0.341501i	$0.889065\pi$
$62$	−0.107609			−0.0136664
$63$	12.0135	+	17.6087i	1.51355	+	2.21849i
$64$	5.45394			0.681743
$65$	−1.18492	+	2.05234i	−0.146971	+	0.254561i
$66$	−8.19303	−	14.1907i	−1.00849	−	1.74676i
$67$	5.86555	+	10.1594i	0.716591	+	1.24117i	0.962343	+	0.271840i	$0.0876320\pi$
$67$	5.86555	+	10.1594i	0.716591	+	1.24117i	−0.245751	+	0.969333i	$0.579035\pi$
$68$	3.97825	−	6.89053i	0.482433	−	0.835599i
$69$	−15.8506			−1.90819
$70$	−2.23424	+	0.168135i	−0.267043	+	0.0200959i
$71$	9.78432			1.16119			0.580593	−	0.814194i	$-0.302821\pi$
$71$	9.78432			1.16119			0.580593	+	0.814194i	$0.302821\pi$
$72$	−11.5812	+	20.0593i	−1.36486	+	2.36401i
$73$	1.85766	+	3.21756i	0.217422	+	0.376587i	0.954019	−	0.299745i	$-0.0969018\pi$
$73$	1.85766	+	3.21756i	0.217422	+	0.376587i	−0.736597	+	0.676332i	$0.763568\pi$
$74$	−1.72327	−	2.98479i	−0.200326	−	0.346975i
$75$	−6.84901	+	11.8628i	−0.790856	+	1.36980i
$76$	−1.01648			−0.116599
$77$	−14.4060	+	1.08411i	−1.64172	+	0.123545i
$78$	−7.57881			−0.858132
$79$	1.40646	−	2.43606i	0.158239	−	0.274078i	−0.775995	−	0.630739i	$-0.782752\pi$
$79$	1.40646	−	2.43606i	0.158239	−	0.274078i	0.934234	+	0.356661i	$0.116085\pi$
$80$	−0.104840	−	0.181588i	−0.0117214	−	0.0203021i
$81$	−15.8711	−	27.4896i	−1.76346	−	3.05440i
$82$	0.451240	−	0.781570i	0.0498311	−	0.0863100i
$83$	3.41464			0.374805			0.187403	−	0.982283i	$-0.439993\pi$
$83$	3.41464			0.374805			0.187403	+	0.982283i	$0.439993\pi$
$84$	5.87803	+	8.61571i	0.641346	+	0.940051i
$85$	−6.29766			−0.683077
$86$	0.742326	−	1.28575i	0.0800470	−	0.138646i
$87$	5.46194	+	9.46036i	0.585581	+	1.01426i
$88$	−7.84894	−	13.5948i	−0.836700	−	1.44921i
$89$	7.12084	−	12.3337i	0.754808	−	1.30737i	−0.190662	−	0.981656i	$-0.561063\pi$
$89$	7.12084	−	12.3337i	0.754808	−	1.30737i	0.945470	−	0.325710i	$-0.105603\pi$
$90$	6.82296			0.719203
$91$	−2.89727	+	6.02105i	−0.303717	+	0.631178i
$92$	−5.65123			−0.589181
$93$	0.198243	−	0.343367i	0.0205569	−	0.0356055i
$94$	2.13744	+	3.70215i	0.220460	+	0.381848i
$95$	0.402280	+	0.696769i	0.0412730	+	0.0714869i
$96$	−9.22421	+	15.9768i	−0.941442	+	1.63063i
$97$	−8.40546			−0.853446			−0.426723	−	0.904382i	$-0.640332\pi$
$97$	−8.40546			−0.853446			−0.426723	+	0.904382i	$0.640332\pi$
$98$	−6.24621	+	0.945452i	−0.630962	+	0.0955051i
$99$	43.9934			4.42150
$100$	−2.44188	+	4.22947i	−0.244188	+	0.422947i
$101$	3.13654	+	5.43266i	0.312098	+	0.540569i	0.978816	−	0.204740i	$-0.0656350\pi$
$101$	3.13654	+	5.43266i	0.312098	+	0.540569i	−0.666718	+	0.745310i	$0.732302\pi$
$102$	−10.0700	−	17.4418i	−0.997083	−	1.72700i
$103$	−4.37283	+	7.57396i	−0.430867	+	0.746284i	−0.996948	−	0.0780655i	$-0.975126\pi$
$103$	−4.37283	+	7.57396i	−0.430867	+	0.746284i	0.566081	+	0.824350i	$0.308459\pi$
$104$	−7.26051			−0.711952
$105$	3.57954	−	7.43892i	0.349327	−	0.725965i
$106$	−2.02508			−0.196693
$107$	5.26144	−	9.11308i	0.508643	−	0.880995i	−0.491307	−	0.870986i	$-0.663481\pi$
$107$	5.26144	−	9.11308i	0.508643	−	0.880995i	0.999950	−	0.0100084i	$-0.00318583\pi$
$108$	−9.96733	−	17.2639i	−0.959107	−	1.66122i
$109$	1.62426	+	2.81330i	0.155576	+	0.269466i	0.933269	−	0.359179i	$-0.116943\pi$
$109$	1.62426	+	2.81330i	0.155576	+	0.269466i	−0.777693	+	0.628645i	$0.783610\pi$
$110$	−2.31206	+	4.00461i	−0.220446	+	0.381824i
$111$	12.6988			1.20531
$112$	−0.333188	−	0.488369i	−0.0314833	−	0.0461465i
$113$	4.20493			0.395566			0.197783	−	0.980246i	$-0.436626\pi$
$113$	4.20493			0.395566			0.197783	+	0.980246i	$0.436626\pi$
$114$	−1.28650	+	2.22829i	−0.120492	+	0.208698i
$115$	2.23651	+	3.87374i	0.208555	+	0.361228i
$116$	1.94735	+	3.37291i	0.180807	+	0.313167i
$117$	10.1738	−	17.6216i	0.940569	−	1.62911i
$118$	−4.01291			−0.369418
$119$	−17.7064	+	1.33247i	−1.62315	+	0.122148i
$120$	8.97026			0.818869
$121$	−9.40780	+	16.2948i	−0.855255	+	1.48134i
$122$	5.39703	+	9.34793i	0.488624	+	0.846322i
$123$	1.66259	+	2.87969i	0.149911	+	0.259653i
$124$	0.0706799	−	0.122421i	0.00634724	−	0.0109937i
$125$	8.55737			0.765394
$126$	19.1834	−	1.44362i	1.70899	−	0.128608i
$127$	6.36861			0.565123			0.282561	−	0.959249i	$-0.408816\pi$
$127$	6.36861			0.565123			0.282561	+	0.959249i	$0.408816\pi$
$128$	−3.08706	+	5.34694i	−0.272860	+	0.472607i
$129$	2.73510	+	4.73733i	0.240812	+	0.417099i
$130$	1.06936	+	1.85219i	0.0937895	+	0.162448i
$131$	−3.25353	+	5.63527i	−0.284262	+	0.492356i	−0.972430	−	0.233195i	$-0.925082\pi$
$131$	−3.25353	+	5.63527i	−0.284262	+	0.492356i	0.688168	+	0.725551i	$0.258415\pi$
$132$	21.5254			1.87354
$133$	1.27847	+	1.87391i	0.110857	+	0.162489i
$134$	10.5871			0.914584
$135$	−7.88926	+	13.6646i	−0.678999	+	1.17606i
$136$	−9.64712	−	16.7093i	−0.827234	−	1.43281i
$137$	−6.63174	−	11.4865i	−0.566588	−	0.981359i	−0.996900	−	0.0786787i	$-0.974930\pi$
$137$	−6.63174	−	11.4865i	−0.566588	−	0.981359i	0.430312	−	0.902680i	$-0.358403\pi$
$138$	−7.15242	+	12.3883i	−0.608854	+	1.05457i
$139$	5.17790			0.439184			0.219592	−	0.975592i	$-0.429527\pi$
$139$	5.17790			0.439184			0.219592	+	0.975592i	$0.429527\pi$
$140$	1.27622	−	2.65221i	0.107860	−	0.224152i
$141$	−15.7508			−1.32645
$142$	4.41507	−	7.64713i	0.370505	−	0.641733i
$143$	6.89509	+	11.9427i	0.576597	+	0.998695i
$144$	0.900163	+	1.55913i	0.0750136	+	0.129927i
$145$	1.54135	−	2.66970i	0.128002	−	0.221706i
$146$	3.35299			0.277496
$147$	8.49026	−	21.6726i	0.700265	−	1.78753i
$148$	4.52751			0.372159
$149$	−1.83789	+	3.18332i	−0.150566	+	0.260788i	−0.931436	−	0.363906i	$-0.881443\pi$
$149$	−1.83789	+	3.18332i	−0.150566	+	0.260788i	0.780870	+	0.624694i	$0.214776\pi$
$150$	6.18109	+	10.7060i	0.504684	+	0.874138i
$151$	−7.13336	−	12.3553i	−0.580505	−	1.00546i	−0.995420	−	0.0956032i	$-0.969522\pi$
$151$	−7.13336	−	12.3553i	−0.580505	−	1.00546i	0.414915	−	0.909860i	$-0.363811\pi$
$152$	−1.23247	+	2.13470i	−0.0999666	+	0.173147i
$153$	54.0722			4.37148
$154$	−5.65327	+	11.7485i	−0.455554	+	0.946722i
$155$	−0.111888			−0.00898705
$156$	4.97791	−	8.62199i	0.398552	−	0.690312i
$157$	−4.52471	−	7.83702i	−0.361111	−	0.625462i	0.627033	−	0.778993i	$-0.284269\pi$
$157$	−4.52471	−	7.83702i	−0.361111	−	0.625462i	−0.988144	+	0.153530i	$0.950936\pi$
$158$	−1.26930	−	2.19849i	−0.100980	−	0.174903i
$159$	3.73070	−	6.46176i	0.295864	−	0.512451i
$160$	5.20612			0.411580
$161$	7.10776	+	10.4182i	0.560170	+	0.821068i
$162$	−28.6468			−2.25070
$163$	4.44632	−	7.70125i	0.348263	−	0.603209i	−0.637678	−	0.770303i	$-0.720105\pi$
$163$	4.44632	−	7.70125i	0.348263	−	0.603209i	0.985941	+	0.167094i	$0.0534384\pi$
$164$	0.592766	+	1.02670i	0.0462872	+	0.0801718i
$165$	−8.51879	−	14.7550i	−0.663187	−	1.14867i
$166$	1.54082	−	2.66878i	0.119591	−	0.207137i
$167$	7.46298			0.577503			0.288751	−	0.957404i	$-0.406760\pi$
$167$	7.46298			0.577503			0.288751	+	0.957404i	$0.406760\pi$
$168$	25.2207	−	1.89795i	1.94582	−	0.146430i
$169$	−6.62182			−0.509371
$170$	−2.84175	+	4.92206i	−0.217952	+	0.377505i
$171$	−3.45400	−	5.98251i	−0.264134	−	0.457494i
$172$	0.975148	+	1.68901i	0.0743543	+	0.128785i
$173$	7.51035	−	13.0083i	0.571001	−	0.989003i	−0.425462	−	0.904976i	$-0.639889\pi$
$173$	7.51035	−	13.0083i	0.571001	−	0.989003i	0.996463	−	0.0840268i	$-0.0267781\pi$
$174$	9.85857			0.747377
$175$	10.8684	−	0.817884i	0.821572	−	0.0618262i
$176$	−1.22013			−0.0919711
$177$	7.39278	−	12.8047i	0.555675	−	0.962457i
$178$	−6.42641	−	11.1309i	−0.481680	−	0.834294i
$179$	8.95967	+	15.5186i	0.669677	+	1.15991i	0.977994	+	0.208631i	$0.0669008\pi$
$179$	8.95967	+	15.5186i	0.669677	+	1.15991i	−0.308317	+	0.951284i	$0.599766\pi$
$180$	−4.48145	+	7.76210i	−0.334028	+	0.578553i
$181$	−24.9578			−1.85510			−0.927548	−	0.373705i	$-0.878087\pi$
$181$	−24.9578			−1.85510			−0.927548	+	0.373705i	$0.878087\pi$
$182$	3.39851	+	4.98136i	0.251914	+	0.369243i
$183$	−39.7707			−2.93994
$184$	−6.85203	+	11.8681i	−0.505138	+	0.874925i
$185$	−1.79179	−	3.10347i	−0.131735	−	0.228171i
$186$	−0.178910	−	0.309882i	−0.0131183	−	0.0227216i
$187$	−18.3232	+	31.7366i	−1.33992	+	2.32081i
$188$	−5.61564			−0.409563
$189$	−19.2902	+	40.0885i	−1.40316	+	2.91601i
$190$	0.726098			0.0526767
$191$	−8.15068	+	14.1174i	−0.589762	+	1.02150i	0.404501	+	0.914538i	$0.367445\pi$
$191$	−8.15068	+	14.1174i	−0.589762	+	1.02150i	−0.994263	+	0.106961i	$0.965888\pi$
$192$	9.06768	+	15.7057i	0.654403	+	1.13346i
$193$	4.87475	+	8.44331i	0.350892	+	0.607763i	0.986406	−	0.164326i	$-0.0525450\pi$
$193$	4.87475	+	8.44331i	0.350892	+	0.607763i	−0.635514	+	0.772089i	$0.719212\pi$
$194$	−3.79288	+	6.56946i	−0.272313	+	0.471660i
$195$	−7.88015			−0.564309
$196$	3.02704	−	7.72695i	0.216217	−	0.551925i
$197$	−24.4370			−1.74106			−0.870531	−	0.492114i	$-0.836224\pi$
$197$	−24.4370			−1.74106			−0.870531	+	0.492114i	$0.836224\pi$
$198$	19.8515	−	34.3839i	1.41079	−	2.44356i
$199$	2.46523	+	4.26990i	0.174756	+	0.302685i	0.940077	−	0.340963i	$-0.110753\pi$
$199$	2.46523	+	4.26990i	0.174756	+	0.302685i	−0.765321	+	0.643649i	$0.777420\pi$
$200$	5.92149	+	10.2563i	0.418713	+	0.725232i
$201$	−19.5040	+	33.7820i	−1.37571	+	2.38280i
$202$	5.66133			0.398330
$203$	3.76879	−	7.83223i	0.264517	−	0.549714i
$204$	26.4568			1.85235
$205$	0.469181	−	0.812645i	0.0327690	−	0.0567576i
$206$	3.94638	+	6.83534i	0.274958	+	0.476241i
$207$	−19.2028	−	33.2603i	−1.33469	−	2.31175i
$208$	−0.282166	+	0.488725i	−0.0195647	+	0.0338870i
$209$	4.68176			0.323844
$210$	−4.19881	−	6.15440i	−0.289745	−	0.424694i
$211$	27.1561			1.86950			0.934751	−	0.355303i	$-0.115622\pi$
$211$	27.1561			1.86950			0.934751	+	0.355303i	$0.115622\pi$
$212$	1.33011	−	2.30382i	0.0913523	−	0.158227i
$213$	16.2673	+	28.1759i	1.11462	+	1.93058i
$214$	−4.74834	−	8.22436i	−0.324590	−	0.562206i
$215$	0.771841	−	1.33687i	0.0526391	−	0.0911736i
$216$	−48.3409			−3.28918
$217$	−0.314583	+	0.0236735i	−0.0213553	+	0.00160706i
$218$	2.93172			0.198561
$219$	−6.17705	+	10.6990i	−0.417407	+	0.722970i
$220$	−3.03721	−	5.26061i	−0.204769	−	0.354670i
$221$	8.47475	+	14.6787i	0.570073	+	0.987396i
$222$	5.73019	−	9.92498i	0.384585	−	0.666121i
$223$	−8.74237			−0.585432			−0.292716	−	0.956199i	$-0.594559\pi$
$223$	−8.74237			−0.585432			−0.292716	+	0.956199i	$0.594559\pi$
$224$	14.6375	−	1.10152i	0.978008	−	0.0735985i
$225$	−33.1900			−2.21267
$226$	1.89743	−	3.28644i	0.126215	−	0.218611i
$227$	−7.34492	−	12.7218i	−0.487500	−	0.844374i	0.512397	−	0.858749i	$-0.328758\pi$
$227$	−7.34492	−	12.7218i	−0.487500	−	0.844374i	−0.999897	+	0.0143744i	$0.995424\pi$
$228$	−1.69000	−	2.92716i	−0.111923	−	0.193856i
$229$	2.65206	−	4.59350i	0.175253	−	0.303547i	−0.764996	−	0.644035i	$-0.777259\pi$
$229$	2.65206	−	4.59350i	0.175253	−	0.303547i	0.940249	+	0.340488i	$0.110592\pi$
$230$	4.03680			0.266179
$231$	−27.0733	−	39.6826i	−1.78129	−	2.61092i
$232$	9.44453			0.620064
$233$	2.21282	−	3.83271i	0.144967	−	0.251089i	−0.784394	−	0.620263i	$-0.787026\pi$
$233$	2.21282	−	3.83271i	0.144967	−	0.251089i	0.929360	+	0.369174i	$0.120359\pi$
$234$	−9.18165	−	15.9031i	−0.600223	−	1.03962i
$235$	2.22242	+	3.84935i	0.144975	+	0.251104i
$236$	2.63575	−	4.56526i	0.171573	−	0.297173i
$237$	9.35347			0.607573
$238$	−6.94843	+	14.4401i	−0.450400	+	0.936012i
$239$	−0.685835			−0.0443630			−0.0221815	−	0.999754i	$-0.507061\pi$
$239$	−0.685835			−0.0443630			−0.0221815	+	0.999754i	$0.507061\pi$
$240$	0.348612	−	0.603813i	0.0225028	−	0.0389760i
$241$	−4.43393	−	7.67979i	−0.285614	−	0.494699i	0.687144	−	0.726522i	$-0.258864\pi$
$241$	−4.43393	−	7.67979i	−0.285614	−	0.494699i	−0.972758	+	0.231823i	$0.925531\pi$
$242$	8.49034	+	14.7057i	0.545780	+	0.945319i
$243$	27.5520	−	47.7215i	1.76746	−	3.06134i
$244$	−14.1795			−0.907749
$245$	−6.49456	+	0.983044i	−0.414922	+	0.0628044i
$246$	3.00091			0.191331
$247$	1.08269	−	1.87528i	0.0688902	−	0.119321i
$248$	−0.171396	−	0.296867i	−0.0108837	−	0.0188511i
$249$	5.67715	+	9.83312i	0.359775	+	0.623149i
$250$	3.86142	−	6.68818i	0.244218	−	0.422998i
$251$	3.42941			0.216463			0.108231	−	0.994126i	$-0.465481\pi$
$251$	3.42941			0.216463			0.108231	+	0.994126i	$0.465481\pi$
$252$	−10.9577	+	22.7721i	−0.690270	+	1.43451i
$253$	26.0287			1.63641
$254$	2.87377	−	4.97751i	0.180316	−	0.312317i
$255$	−10.4704	−	18.1353i	−0.655684	−	1.13568i
$256$	8.23994	+	14.2720i	0.514997	+	0.892000i
$257$	−7.61522	+	13.1899i	−0.475024	+	0.822766i	−0.999591	−	0.0286035i	$-0.990894\pi$
$257$	−7.61522	+	13.1899i	−0.475024	+	0.822766i	0.524567	+	0.851369i	$0.324227\pi$
$258$	4.93674			0.307348
$259$	−5.69442	−	8.34658i	−0.353834	−	0.518631i
$260$	−2.80952			−0.174239
$261$	−13.2342	+	22.9222i	−0.819174	+	1.41885i
$262$	2.93624	+	5.08572i	0.181402	+	0.314197i
$263$	6.13704	+	10.6297i	0.378426	+	0.655453i	0.990833	−	0.135089i	$-0.0431322\pi$
$263$	6.13704	+	10.6297i	0.378426	+	0.655453i	−0.612408	+	0.790542i	$0.709799\pi$
$264$	26.0992	−	45.2051i	1.60629	−	2.78218i
$265$	−2.10560			−0.129346
$266$	2.04149	−	0.153629i	0.125172	−	0.00941962i
$267$	47.3562			2.89815
$268$	−6.95380	+	12.0443i	−0.424771	+	0.735724i
$269$	−6.41499	−	11.1111i	−0.391129	−	0.677455i	0.601470	−	0.798896i	$-0.294582\pi$
$269$	−6.41499	−	11.1111i	−0.391129	−	0.677455i	−0.992599	+	0.121440i	$0.961249\pi$
$270$	7.11989	+	12.3320i	0.433303	+	0.750503i
$271$	−8.98588	+	15.5640i	−0.545854	+	0.945446i	0.452699	+	0.891663i	$0.350461\pi$
$271$	−8.98588	+	15.5640i	−0.545854	+	0.945446i	−0.998553	+	0.0537828i	$0.982872\pi$
$272$	−1.49967			−0.0909306
$273$	−22.1558	+	1.66730i	−1.34093	+	0.100910i
$274$	−11.9700			−0.723135
$275$	11.2469	−	19.4802i	0.678215	−	1.17470i
$276$	−9.39569	−	16.2738i	−0.565554	−	0.979568i
$277$	0.417368	+	0.722903i	0.0250772	+	0.0434350i	0.878292	−	0.478125i	$-0.158684\pi$
$277$	0.417368	+	0.722903i	0.0250772	+	0.0434350i	−0.853214	+	0.521560i	$0.825350\pi$
$278$	2.33647	−	4.04689i	0.140132	−	0.242717i
$279$	0.960678			0.0575143
$280$	−4.02247	−	5.89592i	−0.240388	−	0.352349i
$281$	5.96703			0.355963			0.177982	−	0.984034i	$-0.443043\pi$
$281$	5.96703			0.355963			0.177982	+	0.984034i	$0.443043\pi$
$282$	−7.10737	+	12.3103i	−0.423238	+	0.733069i
$283$	−9.20789	−	15.9485i	−0.547352	−	0.948042i	−0.998455	−	0.0555695i	$-0.982303\pi$
$283$	−9.20789	−	15.9485i	−0.547352	−	0.948042i	0.451103	−	0.892472i	$-0.351031\pi$
$284$	5.79981	+	10.0456i	0.344156	+	0.596095i
$285$	−1.33765	+	2.31688i	−0.0792358	+	0.137240i
$286$	12.4454			0.735909
$287$	1.14720	−	2.38410i	0.0677173	−	0.140729i
$288$	−44.7001			−2.63398
$289$	−14.0210	+	24.2851i	−0.824764	+	1.42853i
$290$	−1.39104	−	2.40935i	−0.0816845	−	0.141482i
$291$	−13.9749	−	24.2052i	−0.819221	−	1.41893i
$292$	−2.20231	+	3.81452i	−0.128881	+	0.223228i
$293$	−18.3646			−1.07287			−0.536435	−	0.843941i	$-0.680229\pi$
$293$	−18.3646			−1.07287			−0.536435	+	0.843941i	$0.680229\pi$
$294$	−13.1075	−	16.4153i	−0.764445	−	0.957357i
$295$	−4.17246			−0.242930
$296$	5.48953	−	9.50815i	0.319073	−	0.552650i
$297$	45.9079	+	79.5149i	2.66385	+	4.61392i
$298$	1.65866	+	2.87288i	0.0960835	+	0.166422i
$299$	6.01933	−	10.4258i	0.348107	−	0.602939i
$300$	−16.2394			−0.937584
$301$	1.88724	−	3.92203i	0.108779	−	0.226062i
$302$	−12.8754			−0.740897
$303$	−10.4296	+	18.0646i	−0.599164	+	1.03778i
$304$	0.0957951	+	0.165922i	0.00549423	+	0.00951628i
$305$	5.61162	+	9.71960i	0.321320	+	0.556543i
$306$	24.3995	−	42.2612i	1.39483	−	2.41591i
$307$	16.8758			0.963153			0.481577	−	0.876404i	$-0.340064\pi$
$307$	16.8758			0.963153			0.481577	+	0.876404i	$0.340064\pi$
$308$	−9.65246	−	14.1481i	−0.550000	−	0.806161i
$309$	−29.0809			−1.65436
$310$	−0.0504882	+	0.0874482i	−0.00286754	+	0.00496672i
$311$	−5.22685	−	9.05317i	−0.296387	−	0.513358i	0.678919	−	0.734213i	$-0.262449\pi$
$311$	−5.22685	−	9.05317i	−0.296387	−	0.513358i	−0.975307	+	0.220855i	$0.929115\pi$
$312$	−12.0713	−	20.9081i	−0.683401	−	1.18369i
$313$	3.13464	−	5.42936i	0.177180	−	0.306886i	−0.763733	−	0.645532i	$-0.776636\pi$
$313$	3.13464	−	5.42936i	0.177180	−	0.306886i	0.940914	+	0.338646i	$0.109969\pi$
$314$	−8.16691			−0.460885
$315$	19.9461	−	1.50102i	1.12384	−	0.0845727i
$316$	3.33480			0.187597
$317$	13.0875	−	22.6682i	0.735066	−	1.27317i	−0.219628	−	0.975584i	$-0.570484\pi$
$317$	13.0875	−	22.6682i	0.735066	−	1.27317i	0.954694	−	0.297589i	$-0.0961824\pi$
$318$	−3.36688	−	5.83160i	−0.188805	−	0.327020i
$319$	−8.96918	−	15.5351i	−0.502178	−	0.869798i
$320$	2.55889	−	4.43212i	0.143046	−	0.247763i
$321$	34.9905			1.95298
$322$	11.3498	−	0.854116i	0.632502	−	0.0475980i
$323$	5.75435			0.320181
$324$	18.8157	−	32.5898i	1.04532	−	1.81055i
$325$	−5.20188	−	9.00992i	−0.288548	−	0.499781i
$326$	−4.01271	−	6.95022i	−0.222244	−	0.384937i
$327$	−5.40097	+	9.35475i	−0.298674	+	0.517319i
$328$	2.87488			0.158738
$329$	7.06300	+	10.3526i	0.389396	+	0.570756i
$330$	−15.3761			−0.846424
$331$	−3.67575	+	6.36658i	−0.202037	+	0.349939i	−0.949185	−	0.314719i	$-0.898090\pi$
$331$	−3.67575	+	6.36658i	−0.202037	+	0.349939i	0.747147	+	0.664658i	$0.231423\pi$
$332$	2.02408	+	3.50581i	0.111086	+	0.192406i
$333$	15.3844	+	26.6466i	0.843062	+	1.46023i
$334$	3.36759	−	5.83284i	0.184266	−	0.319159i
$335$	11.0080			0.601432
$336$	0.852398	−	1.77144i	0.0465021	−	0.0966398i
$337$	−1.58075			−0.0861092			−0.0430546	−	0.999073i	$-0.513709\pi$
$337$	−1.58075			−0.0861092			−0.0430546	+	0.999073i	$0.513709\pi$
$338$	−2.98803	+	5.17542i	−0.162527	+	0.281506i
$339$	6.99108	+	12.1089i	0.379703	+	0.657665i
$340$	−3.73303	−	6.46581i	−0.202452	−	0.350658i
$341$	−0.325540	+	0.563852i	−0.0176290	+	0.0305343i
$342$	−6.23433			−0.337114
$343$	−18.0521	+	4.13805i	−0.974719	+	0.223434i
$344$	4.72940			0.254992
$345$	−7.43680	+	12.8809i	−0.400384	+	0.693485i
$346$	−6.77793	−	11.7397i	−0.364384	−	0.631131i
$347$	−10.9417	−	18.9516i	−0.587382	−	1.01737i	−0.994574	−	0.104032i	$-0.966825\pi$
$347$	−10.9417	−	18.9516i	−0.587382	−	1.01737i	0.407192	−	0.913342i	$-0.366508\pi$
$348$	−6.47530	+	11.2155i	−0.347113	+	0.601217i
$349$	5.31231			0.284362			0.142181	−	0.989841i	$-0.454589\pi$
$349$	5.31231			0.284362			0.142181	+	0.989841i	$0.454589\pi$
$350$	4.26501	−	8.86346i	0.227974	−	0.473772i
$351$	42.4663			2.26668
$352$	15.1473	−	26.2359i	0.807354	−	1.39838i
$353$	−12.7642	−	22.1083i	−0.679371	−	1.17671i	−0.975170	−	0.221456i	$-0.928919\pi$
$353$	−12.7642	−	22.1083i	−0.679371	−	1.17671i	0.295799	−	0.955250i	$-0.404414\pi$
$354$	−6.67183	−	11.5559i	−0.354604	−	0.614191i
$355$	4.59062	−	7.95118i	0.243645	−	0.422005i
$356$	16.8840			0.894848
$357$	−33.2757	−	48.7738i	−1.76114	−	2.58138i
$358$	16.1718			0.854708
$359$	−10.1139	+	17.5178i	−0.533792	+	0.924555i	0.465428	+	0.885086i	$0.345900\pi$
$359$	−10.1139	+	17.5178i	−0.533792	+	0.924555i	−0.999221	+	0.0394699i	$0.987433\pi$
$360$	10.8674	+	18.8228i	0.572761	+	0.992051i
$361$	9.13243	+	15.8178i	0.480654	+	0.832517i
$362$	−11.2619	+	19.5062i	−0.591914	+	1.02522i
$363$	−62.5653			−3.28383
$364$	−7.89922	+	0.594444i	−0.414032	+	0.0311573i
$365$	3.48631			0.182482
$366$	−17.9461	+	31.0836i	−0.938059	+	1.62477i
$367$	16.3207	+	28.2683i	0.851934	+	1.47559i	0.879460	+	0.475972i	$0.157904\pi$
$367$	16.3207	+	28.2683i	0.851934	+	1.47559i	−0.0275261	+	0.999621i	$0.508763\pi$
$368$	0.532581	+	0.922457i	0.0277627	+	0.0480864i
$369$	−4.02843	+	6.97744i	−0.209711	+	0.363231i
$370$	−3.23410			−0.168133
$371$	−5.92008	+	0.445507i	−0.307355	+	0.0231296i
$372$	0.470047			0.0243708
$373$	4.42301	−	7.66089i	0.229015	−	0.396666i	−0.728501	−	0.685044i	$-0.759783\pi$
$373$	4.42301	−	7.66089i	0.229015	−	0.396666i	0.957516	+	0.288379i	$0.0931162\pi$
$374$	16.5363	+	28.6417i	0.855070	+	1.48103i
$375$	14.2274	+	24.6426i	0.734701	+	1.27254i
$376$	−6.80887	+	11.7933i	−0.351141	+	0.608194i
$377$	−8.29678			−0.427306
$378$	22.6275	+	33.1662i	1.16383	+	1.70588i
$379$	10.5565			0.542252			0.271126	−	0.962544i	$-0.412604\pi$
$379$	10.5565			0.542252			0.271126	+	0.962544i	$0.412604\pi$
$380$	−0.476915	+	0.826041i	−0.0244652	+	0.0423750i
$381$	10.5884	+	18.3397i	0.542460	+	0.939569i
$382$	7.35582	+	12.7406i	0.376356	+	0.651868i
$383$	−12.4272	+	21.5245i	−0.634998	+	1.09985i	0.351517	+	0.936181i	$0.385666\pi$
$383$	−12.4272	+	21.5245i	−0.634998	+	1.09985i	−0.986516	+	0.163668i	$0.947667\pi$
$384$	−20.5301			−1.04767
$385$	−5.87805	+	12.2156i	−0.299573	+	0.622567i
$386$	8.79872			0.447843
$387$	−6.62709	+	11.4785i	−0.336874	+	0.583482i
$388$	−4.98247	−	8.62989i	−0.252947	−	0.438116i
$389$	−3.62123	−	6.27215i	−0.183604	−	0.318011i	0.759501	−	0.650506i	$-0.225443\pi$
$389$	−3.62123	−	6.27215i	−0.183604	−	0.318011i	−0.943105	+	0.332495i	$0.892110\pi$
$390$	−3.55583	+	6.15889i	−0.180057	+	0.311867i
$391$	31.9918			1.61789
$392$	−12.5570	−	15.7258i	−0.634225	−	0.794275i
$393$	−21.6372			−1.09145
$394$	−11.0269	+	19.0992i	−0.555528	+	0.962203i
$395$	−1.31977	−	2.28590i	−0.0664047	−	0.115016i
$396$	26.0778	+	45.1680i	1.31046	+	2.26978i
$397$	17.3510	−	30.0527i	0.870819	−	1.50830i	0.00966877	−	0.999953i	$-0.496922\pi$
$397$	17.3510	−	30.0527i	0.870819	−	1.50830i	0.861151	−	0.508350i	$-0.169744\pi$
$398$	4.44964			0.223040
$399$	−3.27073	+	6.79716i	−0.163741	+	0.340284i
$400$	0.920509			0.0460254
$401$	−9.38251	+	16.2510i	−0.468540	+	0.811535i	−0.999353	−	0.0359533i	$-0.988553\pi$
$401$	−9.38251	+	16.2510i	−0.468540	+	0.811535i	0.530813	+	0.847489i	$0.321887\pi$
$402$	17.6020	+	30.4875i	0.877908	+	1.52058i
$403$	0.150567	+	0.260790i	0.00750030	+	0.0129909i
$404$	−3.71847	+	6.44058i	−0.185001	+	0.320431i
$405$	−29.7858			−1.48007
$406$	−4.42080	−	6.47978i	−0.219401	−	0.321586i
$407$	−20.8530			−1.03364
$408$	32.0785	−	55.5615i	1.58812	−	2.75070i
$409$	−14.8238	−	25.6755i	−0.732989	−	1.26957i	−0.955600	−	0.294667i	$-0.904791\pi$
$409$	−14.8238	−	25.6755i	−0.732989	−	1.26957i	0.222611	−	0.974907i	$-0.428542\pi$
$410$	−0.423426	−	0.733395i	−0.0209115	−	0.0362198i
$411$	22.0518	−	38.1948i	1.08773	−	1.88401i
$412$	−10.3682			−0.510807
$413$	−11.7313	+	0.882819i	−0.577257	+	0.0434407i
$414$	−34.6603			−1.70346
$415$	1.60208	−	2.77489i	0.0786432	−	0.136214i
$416$	−7.00587	−	12.1345i	−0.343491	−	0.594944i
$417$	8.60874	+	14.9108i	0.421572	+	0.730184i
$418$	2.11260	−	3.65912i	0.103330	−	0.178974i
$419$	−8.62323			−0.421273			−0.210636	−	0.977564i	$-0.567554\pi$
$419$	−8.62323			−0.421273			−0.210636	+	0.977564i	$0.567554\pi$
$420$	9.75937	−	0.734427i	0.476209	−	0.0358364i
$421$	11.6599			0.568267			0.284134	−	0.958785i	$-0.408294\pi$
$421$	11.6599			0.568267			0.284134	+	0.958785i	$0.408294\pi$
$422$	12.2539	−	21.2244i	0.596511	−	1.03319i
$423$	−19.0819	−	33.0508i	−0.927793	−	1.60699i
$424$	−3.22547	−	5.58669i	−0.156643	−	0.271313i
$425$	13.8236	−	23.9432i	0.670542	−	1.16141i
$426$	29.3619			1.42259
$427$	17.8341	+	26.1403i	0.863051	+	1.26502i
$428$	12.4752			0.603012
$429$	−22.9275	+	39.7115i	−1.10695	+	1.91729i
$430$	−0.696570	−	1.20649i	−0.0335916	−	0.0581823i
$431$	14.2606	+	24.7001i	0.686910	+	1.18976i	0.972833	+	0.231510i	$0.0743665\pi$
$431$	14.2606	+	24.7001i	0.686910	+	1.18976i	−0.285923	+	0.958253i	$0.592300\pi$
$432$	−1.87868	+	3.25396i	−0.0903878	+	0.156556i
$433$	−6.13071			−0.294623			−0.147312	−	0.989090i	$-0.547062\pi$
$433$	−6.13071			−0.294623			−0.147312	+	0.989090i	$0.547062\pi$
$434$	−0.123450	+	0.256551i	−0.00592578	+	0.0123148i
$435$	10.2506			0.491476
$436$	−1.92561	+	3.33526i	−0.0922201	+	0.159730i
$437$	−2.04356	−	3.53955i	−0.0977568	−	0.169320i
$438$	5.57466	+	9.65560i	0.266368	+	0.461362i
$439$	−11.6640	+	20.2026i	−0.556692	+	0.964219i	0.441078	+	0.897469i	$0.354596\pi$
$439$	−11.6640	+	20.2026i	−0.556692	+	0.964219i	−0.997770	+	0.0667500i	$0.978737\pi$
$440$	−14.7303			−0.702239
$441$	55.7628	−	8.44049i	2.65537	−	0.401928i
$442$	15.2966			0.727584
$443$	11.1142	−	19.2504i	0.528053	−	0.914615i	−0.471412	−	0.881913i	$-0.656255\pi$
$443$	11.1142	−	19.2504i	0.528053	−	0.914615i	0.999465	−	0.0327020i	$-0.0104112\pi$
$444$	7.52740	+	13.0378i	0.357235	+	0.618749i
$445$	−6.68193	−	11.5734i	−0.316754	−	0.548634i
$446$	−3.94490	+	6.83277i	−0.186797	+	0.323541i
$447$	−12.2227			−0.578112
$448$	6.25679	−	13.0027i	0.295605	−	0.614321i
$449$	−11.6146			−0.548126			−0.274063	−	0.961712i	$-0.588368\pi$
$449$	−11.6146			−0.548126			−0.274063	+	0.961712i	$0.588368\pi$
$450$	−14.9766	+	25.9403i	−0.706006	+	1.22284i
$451$	−2.73018	−	4.72882i	−0.128559	−	0.222671i
$452$	2.49254	+	4.31720i	0.117239	+	0.203064i
$453$	23.7197	−	41.0838i	1.11445	−	1.93028i
$454$	−13.2573			−0.622195
$455$	3.53363	+	5.17942i	0.165659	+	0.242815i
$456$	−8.19639			−0.383831
$457$	1.71196	−	2.96521i	0.0800823	−	0.138707i	−0.823203	−	0.567747i	$-0.807815\pi$
$457$	1.71196	−	2.96521i	0.0800823	−	0.138707i	0.903285	+	0.429041i	$0.141148\pi$
$458$	−2.39343	−	4.14554i	−0.111838	−	0.193708i
$459$	56.4254	+	97.7316i	2.63371	+	4.56172i
$460$	−2.65145	+	4.59244i	−0.123624	+	0.214124i
$461$	9.15435			0.426360			0.213180	−	0.977013i	$-0.431618\pi$
$461$	9.15435			0.426360			0.213180	+	0.977013i	$0.431618\pi$
$462$	−43.2312	+	3.25330i	−2.01130	+	0.151357i
$463$	4.14841			0.192793			0.0963965	−	0.995343i	$-0.469268\pi$
$463$	4.14841			0.192793			0.0963965	+	0.995343i	$0.469268\pi$
$464$	0.367043	−	0.635737i	0.0170395	−	0.0295134i
$465$	−0.186024	−	0.322203i	−0.00862665	−	0.0149418i
$466$	−1.99702	−	3.45894i	−0.0925103	−	0.160233i
$467$	1.67482	−	2.90087i	0.0775014	−	0.134236i	−0.824670	−	0.565614i	$-0.808639\pi$
$467$	1.67482	−	2.90087i	0.0775014	−	0.134236i	0.902171	+	0.431378i	$0.141972\pi$
$468$	24.1227			1.11507
$469$	30.9501	−	2.32910i	1.42914	−	0.107548i
$470$	4.01138			0.185031
$471$	15.0455	−	26.0595i	0.693259	−	1.20076i
$472$	−6.39162	−	11.0706i	−0.294198	−	0.509566i
$473$	−4.49137	−	7.77929i	−0.206514	−	0.357692i
$474$	4.22066	−	7.31039i	0.193861	−	0.335777i
$475$	−3.53207			−0.162063
$476$	−11.8638	−	17.3894i	−0.543777	−	0.797040i
$477$	18.0788			0.827772
$478$	−0.309476	+	0.536028i	−0.0141551	+	0.0245174i
$479$	1.01960	+	1.76600i	0.0465866	+	0.0806904i	0.888378	−	0.459112i	$-0.151832\pi$
$479$	1.01960	+	1.76600i	0.0465866	+	0.0806904i	−0.841792	+	0.539802i	$0.818499\pi$
$480$	8.65565	+	14.9920i	0.395074	+	0.684289i
$481$	−4.82242	+	8.35267i	−0.219883	+	0.380849i
$482$	−8.00306			−0.364529
$483$	−18.1839	+	37.7894i	−0.827395	+	1.71948i
$484$	−22.3065			−1.01393
$485$	−3.94368	+	6.83066i	−0.179073	+	0.310164i
$486$	−24.8651	−	43.0677i	−1.12791	−	1.95359i
$487$	−13.4602	−	23.3138i	−0.609941	−	1.05645i	−0.991250	−	0.132001i	$-0.957860\pi$
$487$	−13.4602	−	23.3138i	−0.609941	−	1.05645i	0.381309	−	0.924448i	$-0.375474\pi$
$488$	−17.1924	+	29.7781i	−0.778264	+	1.34799i
$489$	29.5697			1.33719
$490$	−2.16228	+	5.51954i	−0.0976820	+	0.249347i
$491$	−29.1260			−1.31444			−0.657218	−	0.753700i	$-0.728267\pi$
$491$	−29.1260			−1.31444			−0.657218	+	0.753700i	$0.728267\pi$
$492$	−1.97106	+	3.41397i	−0.0888620	+	0.153914i
$493$	−11.0240	−	19.0942i	−0.496497	−	0.859957i
$494$	−0.977109	−	1.69240i	−0.0439622	−	0.0761448i
$495$	20.6408	−	35.7510i	0.927737	−	1.60689i
$496$	−0.0266439			−0.00119635
$497$	11.2246	−	23.3268i	0.503493	−	1.04635i
$498$	10.2470			0.459180
$499$	9.99956	−	17.3197i	0.447642	−	0.775338i	−0.550590	−	0.834776i	$-0.685597\pi$
$499$	9.99956	−	17.3197i	0.447642	−	0.775338i	0.998232	+	0.0594374i	$0.0189307\pi$
$500$	5.07251	+	8.78585i	0.226850	+	0.392915i
$501$	12.4079	+	21.4911i	0.554344	+	0.960151i
$502$	1.54749	−	2.68033i	0.0690677	−	0.119629i
$503$	41.5151			1.85107			0.925534	−	0.378663i	$-0.123616\pi$
$503$	41.5151			1.85107			0.925534	+	0.378663i	$0.123616\pi$
$504$	34.5372	+	50.6228i	1.53841	+	2.25492i
$505$	5.88643			0.261943
$506$	11.7452	−	20.3432i	0.522136	−	0.904366i
$507$	−11.0094	−	19.0688i	−0.488944	−	0.846876i
$508$	3.77509	+	6.53865i	0.167493	+	0.290106i
$509$	−14.5064	+	25.1258i	−0.642985	+	1.11368i	0.341778	+	0.939781i	$0.388971\pi$
$509$	−14.5064	+	25.1258i	−0.642985	+	1.11368i	−0.984763	+	0.173902i	$0.944363\pi$
$510$	−18.8987			−0.836848
$511$	9.80209	−	0.737642i	0.433619	−	0.0326313i
$512$	2.52453			0.111570
$513$	7.20864	−	12.4857i	0.318269	−	0.551259i
$514$	6.87257	+	11.9036i	0.303136	+	0.525047i
$515$	4.10329	+	7.10711i	0.180813	+	0.313177i
$516$	−3.24255	+	5.61625i	−0.142745	+	0.247242i
$517$	25.8647			1.13753
$518$	−9.09298	+	0.684279i	−0.399523	+	0.0300655i
$519$	49.9466			2.19241
$520$	−3.40649	+	5.90022i	−0.149385	+	0.258742i
$521$	−5.67389	−	9.82747i	−0.248578	−	0.430549i	0.714554	−	0.699581i	$-0.246630\pi$
$521$	−5.67389	−	9.82747i	−0.248578	−	0.430549i	−0.963131	+	0.269031i	$0.913296\pi$
$522$	11.9436	+	20.6868i	0.522755	+	0.905439i
$523$	12.6105	−	21.8421i	0.551420	−	0.955088i	−0.446752	−	0.894658i	$-0.647419\pi$
$523$	12.6105	−	21.8421i	0.551420	−	0.955088i	0.998172	−	0.0604303i	$-0.0192473\pi$
$524$	−7.71432			−0.337002
$525$	20.4249	+	29.9378i	0.891418	+	1.30659i
$526$	11.0771			0.482984
$527$	−0.400121	+	0.693030i	−0.0174295	+	0.0301889i
$528$	−2.02859	−	3.51361i	−0.0882829	−	0.152910i
$529$	0.138653	+	0.240154i	0.00602839	+	0.0104415i
$530$	−0.950128	+	1.64567i	−0.0412709	+	0.0714833i
$531$	35.8251			1.55468
$532$	−1.16612	+	2.42340i	−0.0505575	+	0.105068i
$533$	−2.52551			−0.109392
$534$	21.3690	−	37.0122i	0.924727	−	1.60167i
$535$	−4.93713	−	8.55137i	−0.213451	−	0.369708i
$536$	16.8627	+	29.2071i	0.728359	+	1.26156i
$537$	−29.7925	+	51.6022i	−1.28564	+	2.22680i
$538$	−11.5788			−0.499197
$539$	−13.9421	+	35.5891i	−0.600527	+	1.53293i
$540$	−18.7059			−0.804975
$541$	17.6271	−	30.5310i	0.757848	−	1.31263i	−0.186098	−	0.982531i	$-0.559584\pi$
$541$	17.6271	−	30.5310i	0.757848	−	1.31263i	0.943946	−	0.330100i	$-0.107083\pi$
$542$	8.10957	+	14.0462i	0.348336	+	0.603336i
$543$	−41.4946	−	71.8707i	−1.78070	−	3.08427i
$544$	18.6175	−	32.2465i	0.798220	−	1.38256i
$545$	3.04829			0.130574
$546$	−8.69445	+	18.0686i	−0.372088	+	0.773266i
$547$	31.7557			1.35778			0.678889	−	0.734241i	$-0.262462\pi$
$547$	31.7557			1.35778			0.678889	+	0.734241i	$0.262462\pi$
$548$	7.86214	−	13.6176i	0.335854	−	0.581716i
$549$	−48.1818	−	83.4533i	−2.05635	−	3.56170i
$550$	−10.1501	−	17.5805i	−0.432802	−	0.749636i
$551$	−1.40838	+	2.43938i	−0.0599988	+	0.103921i
$552$	−45.5685			−1.93952
$553$	−4.19431	−	6.14779i	−0.178360	−	0.261431i
$554$	0.753332			0.0320060
$555$	5.95803	−	10.3196i	0.252904	−	0.438043i
$556$	3.06928	+	5.31615i	0.130167	+	0.225455i
$557$	−17.2338	−	29.8498i	−0.730219	−	1.26478i	−0.956790	−	0.290781i	$-0.906085\pi$
$557$	−17.2338	−	29.8498i	−0.730219	−	1.26478i	0.226571	−	0.973995i	$-0.427249\pi$
$558$	0.433496	−	0.750837i	0.0183514	−	0.0317855i
$559$	−4.15466			−0.175723
$560$	−0.553196	+	0.0416299i	−0.0233768	+	0.00175919i
$561$	−121.856			−5.14476
$562$	2.69256	−	4.66365i	0.113579	−	0.196724i
$563$	−6.13481	−	10.6258i	−0.258552	−	0.447824i	0.707303	−	0.706911i	$-0.249912\pi$
$563$	−6.13481	−	10.6258i	−0.258552	−	0.447824i	−0.965854	+	0.259086i	$0.916579\pi$
$564$	−9.33652	−	16.1713i	−0.393138	−	0.680936i
$565$	1.97287	−	3.41711i	0.0829993	−	0.143759i
$566$	−16.6199			−0.698584
$567$	−83.7454	+	6.30214i	−3.51698	+	0.264665i
$568$	28.1287			1.18025
$569$	6.70388	−	11.6115i	0.281041	−	0.486778i	−0.690600	−	0.723237i	$-0.742653\pi$
$569$	6.70388	−	11.6115i	0.281041	−	0.486778i	0.971642	+	0.236459i	$0.0759868\pi$
$570$	1.20720	+	2.09094i	0.0505642	+	0.0875798i
$571$	−5.21373	−	9.03045i	−0.218188	−	0.377912i	0.736066	−	0.676910i	$-0.236681\pi$
$571$	−5.21373	−	9.03045i	−0.218188	−	0.377912i	−0.954254	+	0.298997i	$0.903348\pi$
$572$	−8.17435	+	14.1584i	−0.341787	+	0.591992i
$573$	−54.2050			−2.26445
$574$	−1.34568	−	1.97242i	−0.0561674	−	0.0823272i
$575$	−19.6369			−0.818914
$576$	−21.9708	+	38.0545i	−0.915450	+	1.58561i
$577$	−0.701313	−	1.21471i	−0.0291960	−	0.0505690i	0.851058	−	0.525071i	$-0.175961\pi$
$577$	−0.701313	−	1.21471i	−0.0291960	−	0.0505690i	−0.880254	+	0.474502i	$0.842628\pi$
$578$	12.6536	+	21.9168i	0.526322	+	0.911617i
$579$	−16.2094	+	28.0756i	−0.673641	+	1.16678i
$580$	3.65464			0.151751
$581$	3.91729	−	8.14084i	0.162517	−	0.337739i
$582$	−25.2240			−1.04557
$583$	−6.12627	+	10.6110i	−0.253724	+	0.439463i
$584$	5.34054	+	9.25008i	0.220993	+	0.382771i
$585$	−9.54672	−	16.5354i	−0.394708	−	0.683655i
$586$	−8.28683	+	14.3532i	−0.342326	+	0.592926i
$587$	40.2338			1.66063			0.830313	−	0.557298i	$-0.188162\pi$
$587$	40.2338			1.66063			0.830313	+	0.557298i	$0.188162\pi$
$588$	27.2840	−	4.12982i	1.12517	−	0.170311i
$589$	0.102235			0.00421253
$590$	−1.88278	+	3.26107i	−0.0775128	+	0.134256i
$591$	−40.6287	−	70.3710i	−1.67124	−	2.89467i
$592$	−0.426680	−	0.739031i	−0.0175364	−	0.0303740i
$593$	−7.62087	+	13.1997i	−0.312952	+	0.542048i	−0.979000	−	0.203861i	$-0.934651\pi$
$593$	−7.62087	+	13.1997i	−0.312952	+	0.542048i	0.666048	+	0.745909i	$0.267984\pi$
$594$	82.8619			3.39986
$595$	−7.22470	+	15.0142i	−0.296184	+	0.615523i
$596$	−4.35776			−0.178501
$597$	−8.19734	+	14.1982i	−0.335495	+	0.581094i
$598$	−5.43232	−	9.40906i	−0.222144	−	0.384765i
$599$	1.35851	+	2.35301i	0.0555071	+	0.0961412i	0.892444	−	0.451159i	$-0.148989\pi$
$599$	1.35851	+	2.35301i	0.0555071	+	0.0961412i	−0.836937	+	0.547300i	$0.815656\pi$
$600$	−19.6901	+	34.1042i	−0.803843	+	1.39230i
$601$	22.9588			0.936511			0.468255	−	0.883593i	$-0.344883\pi$
$601$	22.9588			0.936511			0.468255	+	0.883593i	$0.344883\pi$
$602$	−2.21374	−	3.24479i	−0.0902255	−	0.132248i
$603$	−94.5158			−3.84898
$604$	8.45682	−	14.6476i	0.344103	−	0.596004i
$605$	8.82792	+	15.2904i	0.358906	+	0.621643i
$606$	9.41249	+	16.3029i	0.382356	+	0.662260i
$607$	22.1303	−	38.3308i	0.898241	−	1.55580i	0.0685005	−	0.997651i	$-0.478179\pi$
$607$	22.1303	−	38.3308i	0.898241	−	1.55580i	0.829741	−	0.558149i	$-0.188488\pi$
$608$	−4.75698			−0.192921
$609$	28.8204	−	2.16884i	1.16786	−	0.0878856i
$610$	10.1287			0.410100
$611$	5.98142	−	10.3601i	0.241982	−	0.419126i
$612$	32.0521	+	55.5159i	1.29563	+	2.24410i
$613$	−10.5460	−	18.2661i	−0.425947	−	0.737762i	0.570561	−	0.821255i	$-0.306726\pi$
$613$	−10.5460	−	18.2661i	−0.425947	−	0.737762i	−0.996508	+	0.0834931i	$0.973392\pi$
$614$	7.61503	−	13.1896i	0.307318	−	0.532290i
$615$	3.12023			0.125820
$616$	−41.4156	+	3.11667i	−1.66868	+	0.125574i
$617$	−22.5480			−0.907750			−0.453875	−	0.891065i	$-0.649959\pi$
$617$	−22.5480			−0.907750			−0.453875	+	0.891065i	$0.649959\pi$
$618$	−13.1225	+	22.7288i	−0.527863	+	0.914285i
$619$	16.8984	+	29.2689i	0.679205	+	1.17642i	0.975221	+	0.221235i	$0.0710088\pi$
$619$	16.8984	+	29.2689i	0.679205	+	1.17642i	−0.296015	+	0.955183i	$0.595658\pi$
$620$	−0.0663233	−	0.114875i	−0.00266361	−	0.00461350i
$621$	40.0771	−	69.4155i	1.60824	−	2.78555i
$622$	−9.43424			−0.378279
$623$	−21.2356	−	31.1260i	−0.850786	−	1.24704i
$624$	−1.87651			−0.0751203
$625$	−6.28374	+	10.8838i	−0.251350	+	0.435350i
$626$	−2.82895	−	4.89988i	−0.113068	−	0.195839i
$627$	7.78386	+	13.4820i	0.310857	+	0.538421i
$628$	5.36418	−	9.29103i	0.214054	−	0.370753i
$629$	−25.6304			−1.02195
$630$	7.82733	−	16.2666i	0.311848	−	0.648077i
$631$	34.1027			1.35761			0.678803	−	0.734321i	$-0.262499\pi$
$631$	34.1027			1.35761			0.678803	+	0.734321i	$0.262499\pi$
$632$	4.04339	−	7.00336i	0.160838	−	0.278579i
$633$	45.1495	+	78.2012i	1.79453	+	3.10822i
$634$	−11.8112	−	20.4576i	−0.469082	−	0.812474i
$635$	2.98803	−	5.17542i	0.118576	−	0.205380i
$636$	8.84572			0.350756
$637$	11.0310	+	13.8148i	0.437065	+	0.547360i
$638$	−16.1890			−0.640929
$639$	−39.4154	+	68.2695i	−1.55925	+	2.70070i
$640$	2.89678	+	5.01736i	0.114505	+	0.198329i
$641$	−5.54119	−	9.59763i	−0.218864	−	0.379084i	0.735597	−	0.677419i	$-0.236902\pi$
$641$	−5.54119	−	9.59763i	−0.218864	−	0.379084i	−0.954461	+	0.298336i	$0.903568\pi$
$642$	15.7891	−	27.3475i	0.623146	−	1.07932i
$643$	33.9767			1.33991			0.669954	−	0.742402i	$-0.266314\pi$
$643$	33.9767			1.33991			0.669954	+	0.742402i	$0.266314\pi$
$644$	−6.48312	+	13.4731i	−0.255471	+	0.530914i
$645$	5.13302			0.202113
$646$	2.59659	−	4.49743i	0.102161	−	0.176949i
$647$	−3.94631	−	6.83520i	−0.155145	−	0.268720i	0.777967	−	0.628306i	$-0.216251\pi$
$647$	−3.94631	−	6.83520i	−0.155145	−	0.268720i	−0.933112	+	0.359586i	$0.882918\pi$
$648$	−45.6276	−	79.0293i	−1.79242	−	3.10456i
$649$	−12.1399	+	21.0268i	−0.476531	+	0.825376i
$650$	−9.38918			−0.368274
$651$	−0.591196	−	0.866544i	−0.0231708	−	0.0339625i
$652$	10.5425			0.412876
$653$	−17.1684	+	29.7366i	−0.671852	+	1.16368i	0.305526	+	0.952184i	$0.401168\pi$
$653$	−17.1684	+	29.7366i	−0.671852	+	1.16368i	−0.977378	+	0.211499i	$0.932166\pi$
$654$	4.87426	+	8.44247i	0.190599	+	0.330127i
$655$	3.05299	+	5.28793i	0.119290	+	0.206616i
$656$	0.111726	−	0.193516i	0.00436218	−	0.00755552i
$657$	−29.9337			−1.16783
$658$	11.2784	−	0.848737i	0.439676	−	0.0330872i
$659$	−23.9977			−0.934819			−0.467409	−	0.884041i	$-0.654813\pi$
$659$	−23.9977			−0.934819			−0.467409	+	0.884041i	$0.654813\pi$
$660$	10.0993	−	17.4925i	0.393114	−	0.680894i
$661$	4.77778	+	8.27535i	0.185834	+	0.321874i	0.943857	−	0.330354i	$-0.107168\pi$
$661$	4.77778	+	8.27535i	0.185834	+	0.321874i	−0.758023	+	0.652228i	$0.773835\pi$
$662$	3.31729	+	5.74571i	0.128930	+	0.223313i
$663$	−28.1801	+	48.8094i	−1.09442	+	1.89560i
$664$	9.81667			0.380961
$665$	2.12266	−	0.159738i	0.0823133	−	0.00619436i
$666$	27.7683			1.07600
$667$	−7.82999	+	13.5619i	−0.303178	+	0.525120i
$668$	4.42380	+	7.66224i	0.171162	+	0.296461i
$669$	−14.5350	−	25.1754i	−0.561955	−	0.973335i
$670$	4.96725	−	8.60354i	0.191902	−	0.332384i
$671$	65.3085			2.52120
$672$	27.5082	+	40.3201i	1.06115	+	1.55538i
$673$	3.20764			0.123645			0.0618227	−	0.998087i	$-0.480309\pi$
$673$	3.20764			0.123645			0.0618227	+	0.998087i	$0.480309\pi$
$674$	−0.713299	+	1.23547i	−0.0274753	+	0.0475885i
$675$	−34.6344	−	59.9886i	−1.33308	−	2.30896i
$676$	−3.92519	−	6.79863i	−0.150969	−	0.261486i
$677$	−0.812181	+	1.40674i	−0.0312147	+	0.0540654i	−0.881211	−	0.472724i	$-0.843271\pi$
$677$	−0.812181	+	1.40674i	−0.0312147	+	0.0540654i	0.849996	+	0.526789i	$0.176604\pi$
$678$	12.6186			0.484615
$679$	−9.64279	+	20.0394i	−0.370056	+	0.769043i
$680$	−18.1050			−0.694294
$681$	24.4232	−	42.3023i	0.935900	−	1.62103i
$682$	0.293793	+	0.508865i	0.0112499	+	0.0194854i
$683$	−18.8633	−	32.6723i	−0.721786	−	1.25017i	−0.960283	−	0.279026i	$-0.909988\pi$
$683$	−18.8633	−	32.6723i	−0.721786	−	1.25017i	0.238498	−	0.971143i	$-0.423345\pi$
$684$	4.09483	−	7.09245i	0.156570	−	0.271187i
$685$	−12.4459			−0.475535
$686$	−4.91162	+	15.9762i	−0.187527	+	0.609974i
$687$	17.6372			0.672900
$688$	0.183799	−	0.318349i	0.00700727	−	0.0121369i
$689$	2.83350	+	4.90776i	0.107948	+	0.186971i
$690$	6.71156	+	11.6248i	0.255505	+	0.442547i
$691$	−19.4756	+	33.7327i	−0.740886	+	1.28325i	0.211206	+	0.977442i	$0.432261\pi$
$691$	−19.4756	+	33.7327i	−0.740886	+	1.28325i	−0.952092	+	0.305811i	$0.901073\pi$
$692$	17.8075			0.676940
$693$	50.4694	−	104.884i	1.91717	−	3.98423i
$694$	−19.7493			−0.749674
$695$	2.42937	−	4.20780i	0.0921514	−	0.159611i
$696$	15.7024	+	27.1973i	0.595198	+	1.03091i
$697$	−3.35567	−	5.81218i	−0.127105	−	0.220152i
$698$	2.39713	−	4.15194i	0.0907325	−	0.157153i
$699$	14.7161			0.556613
$700$	7.28212	+	10.6738i	0.275238	+	0.403430i
$701$	−8.29770			−0.313400			−0.156700	−	0.987646i	$-0.550086\pi$
$701$	−8.29770			−0.313400			−0.156700	+	0.987646i	$0.550086\pi$
$702$	19.1625	−	33.1904i	0.723241	−	1.25269i
$703$	1.63721	+	2.83573i	0.0617485	+	0.106951i
$704$	−14.8903	−	25.7907i	−0.561198	−	0.972023i
$705$	−7.38996	+	12.7998i	−0.278322	+	0.482068i
$706$	−23.0389			−0.867081
$707$	16.5502	−	1.24546i	0.622436	−	0.0468405i
$708$	17.5287			0.658770
$709$	−10.9637	+	18.9897i	−0.411751	+	0.713174i	−0.995081	−	0.0990614i	$-0.968416\pi$
$709$	−10.9637	+	18.9897i	−0.411751	+	0.713174i	0.583330	+	0.812235i	$0.301749\pi$
$710$	−4.14294	−	7.17578i	−0.155482	−	0.269302i
$711$	11.3316	+	19.6270i	0.424969	+	0.736068i
$712$	20.4715	−	35.4577i	0.767203	−	1.32884i
$713$	0.568385			0.0212862
$714$	−53.1354	+	3.99863i	−1.98854	+	0.149645i
$715$	12.9402			0.483935
$716$	−10.6220	+	18.3978i	−0.396962	+	0.687557i
$717$	−1.14026	−	1.97500i	−0.0425840	−	0.0737576i
$718$	9.12760	+	15.8095i	0.340639	+	0.590004i
$719$	6.07991	−	10.5307i	0.226742	−	0.392729i	−0.730098	−	0.683342i	$-0.760526\pi$
$719$	6.07991	−	10.5307i	0.226742	−	0.392729i	0.956841	+	0.290613i	$0.0938591\pi$
$720$	1.68936			0.0629586
$721$	13.0405	+	19.1141i	0.485655	+	0.711847i
$722$	16.4836			0.613458
$723$	14.7436	−	25.5367i	0.548322	−	0.949721i
$724$	−14.7941	−	25.6241i	−0.549818	−	0.952313i
$725$	6.76664	+	11.7202i	0.251307	+	0.435276i
$726$	−28.2320	+	48.8992i	−1.04779	+	1.81482i
$727$	5.65386			0.209690			0.104845	−	0.994489i	$-0.466565\pi$
$727$	5.65386			0.209690			0.104845	+	0.994489i	$0.466565\pi$
$728$	−8.32929	+	17.3098i	−0.308704	+	0.641543i
$729$	88.0044			3.25942
$730$	1.57316	−	2.72480i	0.0582253	−	0.100849i
$731$	−5.52034	−	9.56151i	−0.204177	−	0.353645i
$732$	−23.5747	−	40.8326i	−0.871346	−	1.50922i
$733$	12.1627	−	21.0663i	0.449238	−	0.778103i	−0.549099	−	0.835757i	$-0.685029\pi$
$733$	12.1627	−	21.0663i	0.449238	−	0.778103i	0.998337	+	0.0576548i	$0.0183623\pi$
$734$	29.4582			1.08732
$735$	−13.6287	−	17.0679i	−0.502701	−	0.629560i
$736$	−26.4468			−0.974843
$737$	32.0281	−	55.4742i	1.17977	−	2.04342i
$738$	3.63557	+	6.29699i	0.133827	+	0.231795i
$739$	19.3662	+	33.5433i	0.712398	+	1.23391i	0.963955	+	0.266067i	$0.0857242\pi$
$739$	19.3662	+	33.5433i	0.712398	+	1.23391i	−0.251556	+	0.967843i	$0.580942\pi$
$740$	2.12422	−	3.67926i	0.0780879	−	0.135252i
$741$	7.20032			0.264510
$742$	−2.32318	+	4.82798i	−0.0852865	+	0.177241i
$743$	−5.26170			−0.193033			−0.0965165	−	0.995331i	$-0.530770\pi$
$743$	−5.26170			−0.193033			−0.0965165	+	0.995331i	$0.530770\pi$
$744$	0.569925	−	0.987138i	0.0208945	−	0.0361903i
$745$	1.72461	+	2.98711i	0.0631847	+	0.109439i
$746$	−3.99168	−	6.91379i	−0.146146	−	0.253132i
$747$	−13.7556	+	23.8254i	−0.503292	+	0.871727i
$748$	−43.4454			−1.58852
$749$	−15.6905	−	22.9983i	−0.573319	−	0.840341i
$750$	25.6799			0.937697
$751$	−26.1615	+	45.3130i	−0.954646	+	1.65350i	−0.219470	+	0.975619i	$0.570433\pi$
$751$	−26.1615	+	45.3130i	−0.954646	+	1.65350i	−0.735176	+	0.677876i	$0.762901\pi$
$752$	0.529227	+	0.916648i	0.0192989	+	0.0334267i
$753$	5.70171	+	9.87566i	0.207782	+	0.359889i
$754$	−3.74383	+	6.48451i	−0.136342	+	0.236152i
$755$	−13.3873			−0.487215
$756$	−52.5935	+	3.95784i	−1.91281	+	0.143945i
$757$	21.9399			0.797421			0.398710	−	0.917077i	$-0.369458\pi$
$757$	21.9399			0.797421			0.398710	+	0.917077i	$0.369458\pi$
$758$	4.76352	−	8.25066i	0.173019	−	0.299677i
$759$	43.2750	+	74.9546i	1.57078	+	2.72068i
$760$	1.15650	+	2.00312i	0.0419508	+	0.0726609i
$761$	4.90915	−	8.50290i	0.177957	−	0.308230i	−0.763224	−	0.646134i	$-0.776385\pi$
$761$	4.90915	−	8.50290i	0.177957	−	0.308230i	0.941181	+	0.337904i	$0.109718\pi$
$762$	19.1116			0.692341
$763$	8.57055	−	0.644964i	0.310275	−	0.0233493i
$764$	−19.3258			−0.699182
$765$	25.3696	−	43.9415i	0.917241	−	1.58871i
$766$	11.2153	+	19.4254i	0.405224	+	0.701868i
$767$	5.61487	+	9.72525i	0.202741	+	0.351158i
$768$	−27.3993	+	47.4570i	−0.988688	+	1.71246i
$769$	3.37717			0.121784			0.0608920	−	0.998144i	$-0.480605\pi$
$769$	3.37717			0.121784			0.0608920	+	0.998144i	$0.480605\pi$
$770$	6.89497	+	10.1063i	0.248477	+	0.364205i
$771$	−50.6440			−1.82390
$772$	−5.77917	+	10.0098i	−0.207997	+	0.360261i
$773$	19.1751	+	33.2123i	0.689681	+	1.19456i	0.971941	+	0.235224i	$0.0755824\pi$
$773$	19.1751	+	33.2123i	0.689681	+	1.19456i	−0.282261	+	0.959338i	$0.591084\pi$
$774$	5.98081	+	10.3591i	0.214976	+	0.372349i
$775$	0.245598	−	0.425388i	0.00882214	−	0.0152804i
$776$	−24.1647			−0.867461
$777$	14.5681	−	30.2751i	0.522628	−	1.08611i
$778$	−6.53617			−0.234333
$779$	−0.428704	+	0.742537i	−0.0153599	+	0.0266042i
$780$	−4.67108	−	8.09055i	−0.167252	−	0.289688i
$781$	−26.7130	−	46.2683i	−0.955866	−	1.65561i
$782$	14.4360	−	25.0038i	0.516229	−	0.894135i
$783$	−55.2404			−1.97413
$784$	−1.54655	+	0.234093i	−0.0552340	+	0.00836046i
$785$	−8.49162			−0.303079
$786$	−9.76354	+	16.9110i	−0.348254	+	0.603194i
$787$	8.63054	+	14.9485i	0.307645	+	0.532858i	0.977847	−	0.209322i	$-0.0671256\pi$
$787$	8.63054	+	14.9485i	0.307645	+	0.532858i	−0.670201	+	0.742179i	$0.733792\pi$
$788$	−14.4854	−	25.0894i	−0.516021	−	0.893774i
$789$	−20.4068	+	35.3456i	−0.726500	+	1.25834i
$790$	−2.38213			−0.0847522
$791$	4.82391	−	10.0250i	0.171519	−	0.356446i
$792$	126.475			4.49411
$793$	15.1031	−	26.1593i	0.536327	−	0.928945i
$794$	−15.6589	−	27.1220i	−0.555713	−	0.962522i
$795$	−3.50075	−	6.06347i	−0.124159	−	0.215049i
$796$	−2.92261	+	5.06210i	−0.103589	+	0.179422i
$797$	19.8669			0.703722			0.351861	−	0.936052i	$-0.385549\pi$
$797$	19.8669			0.703722			0.351861	+	0.936052i	$0.385549\pi$
$798$	3.83657	+	5.62345i	0.135813	+	0.199068i
$799$	31.7903			1.12466
$800$	−11.4276	+	19.7932i	−0.404027	+	0.699796i
$801$	57.3716	+	99.3705i	2.02712	+	3.51108i
$802$	8.46752	+	14.6662i	0.298999	+	0.517881i
$803$	10.1435	−	17.5690i	0.357956	−	0.619998i
$804$	−46.2453			−1.63095
$805$	11.8011	−	0.888076i	0.415935	−	0.0313006i
$806$	0.271768			0.00957262
$807$	21.3310	−	36.9464i	0.750888	−	1.30058i
$808$	9.01718	+	15.6182i	0.317223	+	0.549447i
$809$	15.4400	+	26.7429i	0.542842	+	0.940230i	0.998739	+	0.0501976i	$0.0159851\pi$
$809$	15.4400	+	26.7429i	0.542842	+	0.940230i	−0.455897	+	0.890032i	$0.650682\pi$
$810$	−13.4405	+	23.2797i	−0.472251	+	0.817964i
$811$	22.6923			0.796834			0.398417	−	0.917204i	$-0.369560\pi$
$811$	22.6923			0.796834			0.398417	+	0.917204i	$0.369560\pi$
$812$	10.2754	−	0.773257i	0.360594	−	0.0271360i
$813$	−59.7594			−2.09586
$814$	−9.40969	+	16.2981i	−0.329809	+	0.571247i
$815$	−4.17226	−	7.22656i	−0.146148	−	0.253135i
$816$	−2.49333	−	4.31858i	−0.0872841	−	0.151180i
$817$	−0.705253	+	1.22153i	−0.0246737	+	0.0427361i
$818$	−26.7563			−0.935512
$819$	−30.3401	−	44.4709i	−1.06017	−	1.55394i
$820$	1.11246			0.0388487
$821$	−15.1960	+	26.3203i	−0.530345	+	0.918585i	0.469028	+	0.883183i	$0.344604\pi$
$821$	−15.1960	+	26.3203i	−0.530345	+	0.918585i	−0.999373	+	0.0354016i	$0.988729\pi$
$822$	−19.9013	−	34.4700i	−0.694136	−	1.20228i
$823$	25.5427	+	44.2413i	0.890364	+	1.54216i	0.839439	+	0.543453i	$0.182883\pi$
$823$	25.5427	+	44.2413i	0.890364	+	1.54216i	0.0509246	+	0.998703i	$0.483783\pi$
$824$	−12.5713	+	21.7742i	−0.437943	+	0.758540i
$825$	74.7962			2.60407
$826$	−4.60362	+	9.56716i	−0.160181	+	0.332884i
$827$	−53.5924			−1.86359			−0.931794	−	0.362987i	$-0.881757\pi$
$827$	−53.5924			−1.86359			−0.931794	+	0.362987i	$0.881757\pi$
$828$	22.7656	−	39.4311i	0.791158	−	1.37033i
$829$	2.19046	+	3.79400i	0.0760780	+	0.131771i	0.901555	−	0.432665i	$-0.142427\pi$
$829$	2.19046	+	3.79400i	0.0760780	+	0.131771i	−0.825477	+	0.564436i	$0.809094\pi$
$830$	−1.44585	−	2.50428i	−0.0501861	−	0.0869249i
$831$	−1.38783	+	2.40378i	−0.0481431	+	0.0833864i
$832$	−13.7740			−0.477526
$833$	−17.1362	+	43.7425i	−0.593733	+	1.51559i
$834$	15.5384			0.538051
$835$	3.50149	−	6.06475i	0.121174	−	0.209879i
$836$	2.77519	+	4.80677i	0.0959819	+	0.166245i
$837$	1.00249	+	1.73636i	0.0346510	+	0.0600173i
$838$	−3.89114	+	6.73966i	−0.134417	+	0.232818i
$839$	−5.15856			−0.178093			−0.0890466	−	0.996027i	$-0.528382\pi$
$839$	−5.15856			−0.178093			−0.0890466	+	0.996027i	$0.528382\pi$
$840$	10.2907	−	21.3860i	0.355064	−	0.737886i
$841$	−18.2075			−0.627845
$842$	5.26140	−	9.11301i	0.181320	−	0.314055i
$843$	9.92073	+	17.1832i	0.341688	+	0.591821i
$844$	16.0972	+	27.8812i	0.554088	+	0.959709i
$845$	−3.10683	+	5.38119i	−0.106878	+	0.185119i
$846$	−34.4420			−1.18414
$847$	28.0557	+	41.1226i	0.964005	+	1.41299i
$848$	−0.501407			−0.0172184
$849$	30.6179	−	53.0318i	1.05080	−	1.82005i
$850$	−12.4755	−	21.6082i	−0.427906	−	0.741155i
$851$	9.10220	+	15.7655i	0.312019	+	0.540433i
$852$	−19.2854	+	33.4034i	−0.660708	+	1.14438i
$853$	16.7568			0.573744			0.286872	−	0.957969i	$-0.407385\pi$
$853$	16.7568			0.573744			0.286872	+	0.957969i	$0.407385\pi$
$854$	28.4779	−	2.14306i	0.974493	−	0.0733340i
$855$	−6.48221			−0.221687
$856$	15.1260	−	26.1990i	0.516995	−	0.895462i
$857$	16.1055	+	27.8955i	0.550152	+	0.952891i	0.998263	+	0.0589134i	$0.0187636\pi$
$857$	16.1055	+	27.8955i	0.550152	+	0.952891i	−0.448111	+	0.893978i	$0.647903\pi$
$858$	20.6915	+	35.8388i	0.706398	+	1.22352i
$859$	12.5182	−	21.6822i	0.427117	−	0.739788i	−0.569498	−	0.821992i	$-0.692863\pi$
$859$	12.5182	−	21.6822i	0.427117	−	0.739788i	0.996616	+	0.0822040i	$0.0261959\pi$
$860$	1.83008			0.0624053
$861$	8.77281	−	0.660185i	0.298976	−	0.0224990i
$862$	25.7398			0.876702
$863$	−2.62143	+	4.54045i	−0.0892346	+	0.154559i	−0.907188	−	0.420726i	$-0.861775\pi$
$863$	−2.62143	+	4.54045i	−0.0892346	+	0.154559i	0.817953	+	0.575285i	$0.195109\pi$
$864$	−46.6455	−	80.7923i	−1.58691	−	2.74861i
$865$	−7.04742	−	12.2065i	−0.239620	−	0.415033i
$866$	−2.76642	+	4.79158i	−0.0940067	+	0.162824i
$867$	−93.2447			−3.16676
$868$	−0.210780	−	0.308950i	−0.00715433	−	0.0104864i
$869$	−15.3596			−0.521037
$870$	4.62545	−	8.01152i	0.156818	−	0.271616i
$871$	−14.8135	−	25.6577i	−0.501936	−	0.869378i
$872$	4.66955	+	8.08790i	0.158131	+	0.273891i
$873$	33.8608	−	58.6486i	1.14601	−	1.98495i
$874$	−3.68854			−0.124767
$875$	9.81705	−	20.4016i	0.331877	−	0.689700i
$876$	−14.6462			−0.494849
$877$	−24.8866	+	43.1048i	−0.840361	+	1.45555i	0.0492296	+	0.998787i	$0.484323\pi$
$877$	−24.8866	+	43.1048i	−0.840361	+	1.45555i	−0.889590	+	0.456760i	$0.849010\pi$
$878$	10.5265	+	18.2325i	0.355253	+	0.615316i
$879$	−30.5328	−	52.8844i	−1.02985	−	1.78375i
$880$	−0.572464	+	0.991536i	−0.0192977	+	0.0334247i
$881$	4.99315			0.168223			0.0841117	−	0.996456i	$-0.473195\pi$
$881$	4.99315			0.168223			0.0841117	+	0.996456i	$0.473195\pi$
$882$	18.5655	−	47.3912i	0.625134	−	1.59574i
$883$	−44.6535			−1.50271			−0.751354	−	0.659899i	$-0.770599\pi$
$883$	−44.6535			−1.50271			−0.751354	+	0.659899i	$0.770599\pi$
$884$	−10.0471	+	17.4021i	−0.337920	+	0.585295i
$885$	−6.93710	−	12.0154i	−0.233188	−	0.403893i
$886$	−10.0304	−	17.3731i	−0.336977	−	0.583661i
$887$	−18.2060	+	31.5337i	−0.611297	+	1.05880i	0.379725	+	0.925099i	$0.376019\pi$
$887$	−18.2060	+	31.5337i	−0.611297	+	1.05880i	−0.991022	+	0.133698i	$0.957315\pi$
$888$	36.5074			1.22511
$889$	7.30610	−	15.1834i	0.245039	−	0.509235i
$890$	−12.0606			−0.404272
$891$	−86.6623	+	150.103i	−2.90330	+	5.02866i
$892$	−5.18218	−	8.97579i	−0.173512	−	0.300532i
$893$	−2.03069	−	3.51726i	−0.0679545	−	0.117701i
$894$	−5.51535	+	9.55286i	−0.184461	+	0.319495i
$895$	16.8148			0.562057
$896$	9.20614	+	13.4939i	0.307555	+	0.450799i
$897$	40.0308			1.33659
$898$	−5.24096	+	9.07761i	−0.174893	+	0.302924i
$899$	−0.195859	−	0.339238i	−0.00653227	−	0.0113142i
$900$	−19.6739	−	34.0762i	−0.655797	−	1.13587i
$901$	−7.52980	+	13.0420i	−0.250854	+	0.434492i
$902$	−4.92787			−0.164080
$903$	14.4320	−	1.08606i	0.480266	−	0.0361417i
$904$	12.0886			0.402062
$905$	−11.7097	+	20.2818i	−0.389244	+	0.674190i
$906$	−21.4066	−	37.0773i	−0.711186	−	1.23181i
$907$	1.10496	+	1.91385i	0.0366896	+	0.0635482i	0.883787	−	0.467889i	$-0.154985\pi$
$907$	1.10496	+	1.91385i	0.0366896	+	0.0635482i	−0.847098	+	0.531437i	$0.821652\pi$
$908$	8.70764	−	15.0821i	0.288973	−	0.500516i
$909$	−50.5413			−1.67635
$910$	5.64259	−	0.424625i	0.187050	−	0.0140762i
$911$	46.7251			1.54807			0.774035	−	0.633142i	$-0.218235\pi$
$911$	46.7251			1.54807			0.774035	+	0.633142i	$0.218235\pi$
$912$	−0.318536	+	0.551721i	−0.0105478	+	0.0182693i
$913$	−9.32259	−	16.1472i	−0.308533	−	0.534394i
$914$	−1.54501	−	2.67604i	−0.0511045	−	0.0885155i
$915$	−18.6597	+	32.3195i	−0.616869	+	1.06845i
$916$	6.28820			0.207768
$917$	9.70259	+	14.2215i	0.320408	+	0.469637i
$918$	101.845			3.36140
$919$	−12.4561	+	21.5747i	−0.410890	+	0.711682i	−0.994987	−	0.100001i	$-0.968115\pi$
$919$	−12.4561	+	21.5747i	−0.410890	+	0.711682i	0.584097	+	0.811684i	$0.301449\pi$
$920$	6.42968	+	11.1365i	0.211980	+	0.367161i
$921$	28.0576	+	48.5972i	0.924529	+	1.60133i
$922$	4.13080	−	7.15476i	0.136041	−	0.235630i
$923$	−24.7104			−0.813352
$924$	24.6940	−	51.3186i	0.812373	−	1.68826i
$925$	15.7322			0.517270
$926$	1.87193	−	3.24227i	0.0615153	−	0.106548i
$927$	−35.2312	−	61.0222i	−1.15714	−	2.00423i
$928$	9.11328	+	15.7847i	0.299158	+	0.518157i
$929$	0.553073	−	0.957951i	0.0181458	−	0.0314294i	−0.856810	−	0.515632i	$-0.827557\pi$
$929$	0.553073	−	0.957951i	0.0181458	−	0.0314294i	0.874956	+	0.484203i	$0.160890\pi$
$930$	−0.335765			−0.0110102
$931$	5.93426	−	0.898235i	0.194488	−	0.0294385i
$932$	5.24673			0.171862
$933$	17.3802	−	30.1034i	0.569003	−	0.985543i
$934$	−1.51149	−	2.61798i	−0.0494575	−	0.0856629i
$935$	17.1938	+	29.7805i	0.562296	+	0.973925i
$936$	29.2484	−	50.6598i	0.956015	−	1.65587i
$937$	−4.28847			−0.140098			−0.0700491	−	0.997544i	$-0.522316\pi$
$937$	−4.28847			−0.140098			−0.0700491	+	0.997544i	$0.522316\pi$
$938$	12.1455	−	25.2406i	0.396566	−	0.824136i
$939$	20.8465			0.680301
$940$	−2.63475	+	4.56352i	−0.0859361	+	0.148846i
$941$	10.4732	+	18.1402i	0.341418	+	0.591353i	0.984696	−	0.174279i	$-0.0557595\pi$
$941$	10.4732	+	18.1402i	0.341418	+	0.591353i	−0.643278	+	0.765632i	$0.722426\pi$
$942$	−13.5782	−	23.5182i	−0.442403	−	0.766264i
$943$	−2.38342	+	4.12820i	−0.0776147	+	0.134433i
$944$	−0.993591			−0.0323386
$945$	23.5271	+	34.4849i	0.765338	+	1.12179i
$946$	−8.10674			−0.263573
$947$	−3.75616	+	6.50585i	−0.122059	+	0.211412i	−0.920579	−	0.390556i	$-0.872283\pi$
$947$	−3.75616	+	6.50585i	−0.122059	+	0.211412i	0.798521	+	0.601967i	$0.205616\pi$
$948$	5.54442	+	9.60321i	0.180074	+	0.311898i
$949$	−4.69152	−	8.12596i	−0.152293	−	0.263780i
$950$	−1.59381	+	2.76056i	−0.0517101	+	0.0895645i
$951$	87.0366			2.82236
$952$	−50.9038	+	3.83069i	−1.64980	+	0.124153i
$953$	−30.4377			−0.985974			−0.492987	−	0.870037i	$-0.664095\pi$
$953$	−30.4377			−0.985974			−0.492987	+	0.870037i	$0.664095\pi$
$954$	8.15787	−	14.1299i	0.264121	−	0.457471i
$955$	7.64828	+	13.2472i	0.247493	+	0.428670i
$956$	−0.406540	−	0.704147i	−0.0131484	−	0.0227737i
$957$	29.8242	−	51.6570i	0.964079	−	1.66983i
$958$	1.84033			0.0594585
$959$	−34.9929	+	2.63334i	−1.12998	+	0.0850350i
$960$	17.0175			0.549238
$961$	15.4929	−	26.8345i	0.499771	−	0.865628i
$962$	4.35213	+	7.53811i	0.140318	+	0.243038i
$963$	42.3906	+	73.4227i	1.36602	+	2.36601i
$964$	5.25656	−	9.10463i	0.169302	−	0.293240i
$965$	9.14856			0.294503
$966$	21.3298	+	31.2640i	0.686274	+	1.00590i
$967$	43.8093			1.40881			0.704405	−	0.709798i	$-0.251214\pi$
$967$	43.8093			1.40881			0.704405	+	0.709798i	$0.251214\pi$
$968$	−27.0463	+	46.8455i	−0.869300	+	1.50567i
$969$	9.56714	+	16.5708i	0.307341	+	0.532330i
$970$	3.55909	+	6.16453i	0.114276	+	0.197931i
$971$	−3.58123	+	6.20287i	−0.114927	+	0.199060i	−0.917751	−	0.397157i	$-0.869997\pi$
$971$	−3.58123	+	6.20287i	−0.114927	+	0.199060i	0.802823	+	0.596217i	$0.203330\pi$
$972$	65.3276			2.09538
$973$	5.94011	−	12.3446i	0.190431	−	0.395751i
$974$	−24.2951			−0.778467
$975$	17.2972	−	29.9597i	0.553954	−	0.959477i
$976$	1.33630	+	2.31454i	0.0427739	+	0.0740865i
$977$	−21.0133	−	36.3961i	−0.672276	−	1.16442i	−0.977257	−	0.212057i	$-0.931984\pi$
$977$	−21.0133	−	36.3961i	−0.672276	−	1.16442i	0.304982	−	0.952358i	$-0.401350\pi$
$978$	13.3430	−	23.1108i	0.426662	−	0.739001i
$979$	−77.7648			−2.48537
$980$	−4.85904	−	6.08525i	−0.155216	−	0.194386i
$981$	−26.1729			−0.835635
$982$	−13.1428	+	22.7640i	−0.419403	+	0.726428i
$983$	−6.60637	−	11.4426i	−0.210710	−	0.364961i	0.741227	−	0.671255i	$-0.234244\pi$
$983$	−6.60637	−	11.4426i	−0.210710	−	0.364961i	−0.951937	+	0.306294i	$0.900911\pi$
$984$	4.77975	+	8.27876i	0.152373	+	0.263917i
$985$	−11.4654	+	19.8586i	−0.365317	+	0.632747i
$986$	−19.8979			−0.633678
$987$	−18.0694	+	37.5514i	−0.575154	+	1.19527i
$988$	2.56714			0.0816715
$989$	−3.92091	+	6.79122i	−0.124678	+	0.215948i
$990$	−18.6279	−	32.2645i	−0.592035	−	1.02543i
$991$	−13.3185	−	23.0683i	−0.423075	−	0.732788i	0.573163	−	0.819441i	$-0.305716\pi$
$991$	−13.3185	−	23.0683i	−0.423075	−	0.732788i	−0.996239	+	0.0866534i	$0.972383\pi$
$992$	0.330770	−	0.572910i	0.0105020	−	0.0181899i
$993$	−24.4451			−0.775741
$994$	−13.1665	−	19.2988i	−0.417617	−	0.612121i
$995$	4.62656			0.146672
$996$	−6.73044	+	11.6575i	−0.213262	+	0.369381i
$997$	−27.7880	−	48.1302i	−0.880054	−	1.52430i	−0.851280	−	0.524712i	$-0.824173\pi$
$997$	−27.7880	−	48.1302i	−0.880054	−	1.52430i	−0.0287743	−	0.999586i	$-0.509160\pi$
$998$	−9.02439	−	15.6307i	−0.285662	−	0.494781i
$999$	−32.1079	+	55.6125i	−1.01585	+	1.75950i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	287.2.e.d.247.11	yes	34
7.2	even	3		2009.2.a.s.1.7		17
7.4	even	3	inner	287.2.e.d.165.11	✓	34
7.5	odd	6		2009.2.a.r.1.7		17

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
287.2.e.d.165.11	✓	34	7.4	even	3	inner
287.2.e.d.247.11	yes	34	1.1	even	1	trivial
2009.2.a.r.1.7		17	7.5	odd	6
2009.2.a.s.1.7		17	7.2	even	3

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:	\( N \)	\(=\)	\( 287 = 7 \cdot 41 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	287.e (of order \(3\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(0.451240 - 0.781570i) q^{2} +(1.66259 + 2.87969i) q^{3} +(0.592766 + 1.02670i) q^{4} +(0.469181 - 0.812645i) q^{5} +3.00091 q^{6} +(1.14720 - 2.38410i) q^{7} +2.87488 q^{8} +(-4.02843 + 6.97744i) q^{9} +O(q^{10})\)	\(q+(0.451240 - 0.781570i) q^{2} +(1.66259 + 2.87969i) q^{3} +(0.592766 + 1.02670i) q^{4} +(0.469181 - 0.812645i) q^{5} +3.00091 q^{6} +(1.14720 - 2.38410i) q^{7} +2.87488 q^{8} +(-4.02843 + 6.97744i) q^{9} +(-0.423426 - 0.733395i) q^{10} +(-2.73018 - 4.72882i) q^{11} +(-1.97106 + 3.41397i) q^{12} -2.52551 q^{13} +(-1.34568 - 1.97242i) q^{14} +3.12023 q^{15} +(0.111726 - 0.193516i) q^{16} +(-3.35567 - 5.81218i) q^{17} +(3.63557 + 6.29699i) q^{18} +(-0.428704 + 0.742537i) q^{19} +1.11246 q^{20} +(8.77281 - 0.660185i) q^{21} -4.92787 q^{22} +(-2.38342 + 4.12820i) q^{23} +(4.77975 + 8.27876i) q^{24} +(2.05974 + 3.56757i) q^{25} +(-1.13961 + 1.97386i) q^{26} -16.8150 q^{27} +(3.12778 - 0.235376i) q^{28} +3.28519 q^{29} +(1.40797 - 2.43867i) q^{30} +(-0.0596187 - 0.103263i) q^{31} +(2.77404 + 4.80479i) q^{32} +(9.07836 - 15.7242i) q^{33} -6.05684 q^{34} +(-1.39918 - 2.05084i) q^{35} -9.55165 q^{36} +(1.90949 - 3.30733i) q^{37} +(0.386896 + 0.670124i) q^{38} +(-4.19889 - 7.27268i) q^{39} +(1.34884 - 2.33625i) q^{40} +1.00000 q^{41} +(3.44266 - 7.15446i) q^{42} +1.64508 q^{43} +(3.23672 - 5.60616i) q^{44} +(3.78012 + 6.54736i) q^{45} +(2.15098 + 3.72561i) q^{46} +(-2.36841 + 4.10220i) q^{47} +0.743022 q^{48} +(-4.36784 - 5.47009i) q^{49} +3.71774 q^{50} +(11.1582 - 19.3266i) q^{51} +(-1.49703 - 2.59294i) q^{52} +(-1.12195 - 1.94328i) q^{53} +(-7.58758 + 13.1421i) q^{54} -5.12380 q^{55} +(3.29807 - 6.85398i) q^{56} -2.85104 q^{57} +(1.48241 - 2.56761i) q^{58} +(-2.22327 - 3.85081i) q^{59} +(1.84956 + 3.20354i) q^{60} +(-5.98023 + 10.3581i) q^{61} -0.107609 q^{62} +(12.0135 + 17.6087i) q^{63} +5.45394 q^{64} +(-1.18492 + 2.05234i) q^{65} +(-8.19303 - 14.1907i) q^{66} +(5.86555 + 10.1594i) q^{67} +(3.97825 - 6.89053i) q^{68} -15.8506 q^{69} +(-2.23424 + 0.168135i) q^{70} +9.78432 q^{71} +(-11.5812 + 20.0593i) q^{72} +(1.85766 + 3.21756i) q^{73} +(-1.72327 - 2.98479i) q^{74} +(-6.84901 + 11.8628i) q^{75} -1.01648 q^{76} +(-14.4060 + 1.08411i) q^{77} -7.57881 q^{78} +(1.40646 - 2.43606i) q^{79} +(-0.104840 - 0.181588i) q^{80} +(-15.8711 - 27.4896i) q^{81} +(0.451240 - 0.781570i) q^{82} +3.41464 q^{83} +(5.87803 + 8.61571i) q^{84} -6.29766 q^{85} +(0.742326 - 1.28575i) q^{86} +(5.46194 + 9.46036i) q^{87} +(-7.84894 - 13.5948i) q^{88} +(7.12084 - 12.3337i) q^{89} +6.82296 q^{90} +(-2.89727 + 6.02105i) q^{91} -5.65123 q^{92} +(0.198243 - 0.343367i) q^{93} +(2.13744 + 3.70215i) q^{94} +(0.402280 + 0.696769i) q^{95} +(-9.22421 + 15.9768i) q^{96} -8.40546 q^{97} +(-6.24621 + 0.945452i) q^{98} +43.9934 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 34 q - 3 q^{2} - q^{3} - 25 q^{4} + q^{5} + 4 q^{6} - 2 q^{7} + 18 q^{8} - 26 q^{9}+O(q^{10}) \) 34 * q - 3 * q^2 - q^3 - 25 * q^4 + q^5 + 4 * q^6 - 2 * q^7 + 18 * q^8 - 26 * q^9	\( 34 q - 3 q^{2} - q^{3} - 25 q^{4} + q^{5} + 4 q^{6} - 2 q^{7} + 18 q^{8} - 26 q^{9} + 2 q^{10} - 15 q^{11} - 4 q^{12} - 10 q^{13} + 21 q^{14} + 48 q^{15} - 33 q^{16} - 4 q^{17} - 10 q^{18} - 5 q^{19} - 52 q^{20} + 12 q^{21} + 32 q^{22} - 12 q^{23} - 16 q^{24} - 24 q^{25} - 31 q^{26} - 22 q^{27} + 60 q^{28} + 28 q^{29} + 33 q^{30} + 3 q^{31} - 16 q^{32} - 4 q^{33} - 48 q^{34} + 45 q^{35} + 114 q^{36} - 24 q^{37} - 45 q^{39} - 36 q^{40} + 34 q^{41} + 65 q^{42} + 28 q^{43} + 9 q^{44} + 21 q^{45} - 44 q^{46} - 19 q^{47} - 120 q^{48} - 10 q^{49} - 8 q^{50} - 2 q^{51} + 25 q^{52} - 4 q^{53} - 68 q^{54} + 18 q^{55} + 25 q^{56} - 24 q^{57} + q^{58} + 27 q^{59} - 66 q^{60} + q^{61} - 46 q^{62} + 37 q^{63} + 150 q^{64} - 22 q^{65} + 16 q^{66} - 49 q^{67} - 45 q^{68} + 24 q^{69} + 73 q^{70} + 80 q^{71} + 23 q^{72} + 14 q^{73} - 33 q^{74} - 27 q^{75} - 18 q^{76} - 20 q^{77} - 24 q^{78} - 61 q^{79} + 82 q^{80} - 53 q^{81} - 3 q^{82} - 36 q^{83} + 188 q^{84} - 26 q^{85} + 4 q^{86} + 17 q^{87} - 74 q^{88} - 18 q^{89} - 40 q^{90} + 7 q^{91} + 56 q^{92} + 36 q^{93} + 5 q^{94} - 20 q^{95} - 148 q^{96} + 52 q^{97} + 142 q^{98} + 76 q^{99}+O(q^{100}) \) 34 * q - 3 * q^2 - q^3 - 25 * q^4 + q^5 + 4 * q^6 - 2 * q^7 + 18 * q^8 - 26 * q^9 + 2 * q^10 - 15 * q^11 - 4 * q^12 - 10 * q^13 + 21 * q^14 + 48 * q^15 - 33 * q^16 - 4 * q^17 - 10 * q^18 - 5 * q^19 - 52 * q^20 + 12 * q^21 + 32 * q^22 - 12 * q^23 - 16 * q^24 - 24 * q^25 - 31 * q^26 - 22 * q^27 + 60 * q^28 + 28 * q^29 + 33 * q^30 + 3 * q^31 - 16 * q^32 - 4 * q^33 - 48 * q^34 + 45 * q^35 + 114 * q^36 - 24 * q^37 - 45 * q^39 - 36 * q^40 + 34 * q^41 + 65 * q^42 + 28 * q^43 + 9 * q^44 + 21 * q^45 - 44 * q^46 - 19 * q^47 - 120 * q^48 - 10 * q^49 - 8 * q^50 - 2 * q^51 + 25 * q^52 - 4 * q^53 - 68 * q^54 + 18 * q^55 + 25 * q^56 - 24 * q^57 + q^58 + 27 * q^59 - 66 * q^60 + q^61 - 46 * q^62 + 37 * q^63 + 150 * q^64 - 22 * q^65 + 16 * q^66 - 49 * q^67 - 45 * q^68 + 24 * q^69 + 73 * q^70 + 80 * q^71 + 23 * q^72 + 14 * q^73 - 33 * q^74 - 27 * q^75 - 18 * q^76 - 20 * q^77 - 24 * q^78 - 61 * q^79 + 82 * q^80 - 53 * q^81 - 3 * q^82 - 36 * q^83 + 188 * q^84 - 26 * q^85 + 4 * q^86 + 17 * q^87 - 74 * q^88 - 18 * q^89 - 40 * q^90 + 7 * q^91 + 56 * q^92 + 36 * q^93 + 5 * q^94 - 20 * q^95 - 148 * q^96 + 52 * q^97 + 142 * q^98 + 76 * q^99

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