LMFDB - Embedded newform 670.2.k.b.131.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [670,2,Mod(81,670)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(670, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([0, 8]))

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

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

chi := DirichletCharacter("670.81");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 670 = 2 \cdot 5 \cdot 67 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	670.k (of order $11$, degree $10$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$5.34997693543$
Analytic rank:	$0$
Dimension:	$50$
Relative dimension:	$5$ over $\Q(\zeta_{11})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			131.3
Character	$\chi$	$=$	670.131
Dual form			670.2.k.b.491.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.959493 - 0.281733i) q^{2} +(-0.0437852 + 0.304533i) q^{3} +(0.841254 + 0.540641i) q^{4} +(-0.415415 - 0.909632i) q^{5} +(0.127808 - 0.279862i) q^{6} +(-4.20360 - 1.23429i) q^{7} +(-0.654861 - 0.755750i) q^{8} +(2.78766 + 0.818530i) q^{9} +O(q^{10})$	\(q+(-0.959493 - 0.281733i) q^{2} +(-0.0437852 + 0.304533i) q^{3} +(0.841254 + 0.540641i) q^{4} +(-0.415415 - 0.909632i) q^{5} +(0.127808 - 0.279862i) q^{6} +(-4.20360 - 1.23429i) q^{7} +(-0.654861 - 0.755750i) q^{8} +(2.78766 + 0.818530i) q^{9} +(0.142315 + 0.989821i) q^{10} +(1.37006 + 3.00001i) q^{11} +(-0.201477 + 0.232517i) q^{12} +(-2.09806 + 2.42129i) q^{13} +(3.68558 + 2.36858i) q^{14} +(0.295202 - 0.0866791i) q^{15} +(0.415415 + 0.909632i) q^{16} +(2.96815 - 1.90751i) q^{17} +(-2.44413 - 1.57075i) q^{18} +(7.14068 - 2.09669i) q^{19} +(0.142315 - 0.989821i) q^{20} +(0.559936 - 1.22609i) q^{21} +(-0.469361 - 3.26448i) q^{22} +(0.750564 - 5.22029i) q^{23} +(0.258824 - 0.166336i) q^{24} +(-0.654861 + 0.755750i) q^{25} +(2.69523 - 1.73212i) q^{26} +(-0.754753 + 1.65268i) q^{27} +(-2.86898 - 3.31098i) q^{28} +3.16106 q^{29} -0.307665 q^{30} +(-5.12462 - 5.91413i) q^{31} +(-0.142315 - 0.989821i) q^{32} +(-0.973589 + 0.285872i) q^{33} +(-3.38533 + 0.994022i) q^{34} +(0.623490 + 4.33647i) q^{35} +(1.90259 + 2.19571i) q^{36} +10.5311 q^{37} -7.44214 q^{38} +(-0.645498 - 0.744944i) q^{39} +(-0.415415 + 0.909632i) q^{40} +(0.690468 - 0.443737i) q^{41} +(-0.882685 + 1.01867i) q^{42} +(9.49098 - 6.09948i) q^{43} +(-0.469361 + 3.26448i) q^{44} +(-0.413473 - 2.87577i) q^{45} +(-2.19089 + 4.79737i) q^{46} +(-1.18773 + 8.26086i) q^{47} +(-0.295202 + 0.0866791i) q^{48} +(10.2580 + 6.59240i) q^{49} +(0.841254 - 0.540641i) q^{50} +(0.450940 + 0.987420i) q^{51} +(-3.07405 + 0.902621i) q^{52} +(3.52689 + 2.26660i) q^{53} +(1.18979 - 1.37309i) q^{54} +(2.15976 - 2.49250i) q^{55} +(1.81996 + 3.98515i) q^{56} +(0.325856 + 2.26638i) q^{57} +(-3.03301 - 0.890574i) q^{58} +(-6.45090 - 7.44473i) q^{59} +(0.295202 + 0.0866791i) q^{60} +(-0.230310 + 0.504308i) q^{61} +(3.25084 + 7.11834i) q^{62} +(-10.7079 - 6.88153i) q^{63} +(-0.142315 + 0.989821i) q^{64} +(3.07405 + 0.902621i) q^{65} +1.01469 q^{66} +(7.98934 + 1.78058i) q^{67} +3.52825 q^{68} +(1.55689 + 0.457143i) q^{69} +(0.623490 - 4.33647i) q^{70} +(-4.43566 - 2.85062i) q^{71} +(-1.20692 - 2.64279i) q^{72} +(-0.260520 + 0.570460i) q^{73} +(-10.1045 - 2.96694i) q^{74} +(-0.201477 - 0.232517i) q^{75} +(7.14068 + 2.09669i) q^{76} +(-2.05630 - 14.3019i) q^{77} +(0.409476 + 0.896627i) q^{78} +(1.90092 - 2.19378i) q^{79} +(0.654861 - 0.755750i) q^{80} +(6.86214 + 4.41003i) q^{81} +(-0.787514 + 0.231235i) q^{82} +(-2.16889 - 4.74921i) q^{83} +(1.13392 - 0.728728i) q^{84} +(-2.96815 - 1.90751i) q^{85} +(-10.8249 + 3.17849i) q^{86} +(-0.138408 + 0.962647i) q^{87} +(1.37006 - 3.00001i) q^{88} +(1.45915 + 10.1486i) q^{89} +(-0.413473 + 2.87577i) q^{90} +(11.8079 - 7.58851i) q^{91} +(3.45372 - 3.98580i) q^{92} +(2.02543 - 1.30166i) q^{93} +(3.46697 - 7.59161i) q^{94} +(-4.87357 - 5.62440i) q^{95} +0.307665 q^{96} +2.09886 q^{97} +(-7.98516 - 9.21537i) q^{98} +(1.36365 + 9.48442i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 50 q - 5 q^{2} + 2 q^{3} - 5 q^{4} + 5 q^{5} + 2 q^{6} + q^{7} - 5 q^{8} - q^{9}+O(q^{10}) $ 50 * q - 5 * q^2 + 2 * q^3 - 5 * q^4 + 5 * q^5 + 2 * q^6 + q^7 - 5 * q^8 - q^9	\( 50 q - 5 q^{2} + 2 q^{3} - 5 q^{4} + 5 q^{5} + 2 q^{6} + q^{7} - 5 q^{8} - q^{9} + 5 q^{10} + 30 q^{11} - 9 q^{12} + 20 q^{13} - 21 q^{14} - 2 q^{15} - 5 q^{16} + 2 q^{17} - q^{18} + 4 q^{19} + 5 q^{20} + 23 q^{21} - 3 q^{22} - 5 q^{23} + 2 q^{24} - 5 q^{25} - 2 q^{26} + 2 q^{27} - 10 q^{28} + 26 q^{29} - 2 q^{30} + 3 q^{31} - 5 q^{32} + 38 q^{33} + 2 q^{34} - 12 q^{35} - q^{36} + 22 q^{37} - 40 q^{38} - 35 q^{39} + 5 q^{40} - 18 q^{41} - 10 q^{42} + 87 q^{43} - 3 q^{44} + 12 q^{45} + 17 q^{46} + 35 q^{47} + 2 q^{48} + 60 q^{49} - 5 q^{50} + 19 q^{51} - 24 q^{52} - 9 q^{53} + 2 q^{54} + 25 q^{55} + 12 q^{56} + 64 q^{57} + 4 q^{58} - 49 q^{59} - 2 q^{60} - 47 q^{61} - 19 q^{62} - 24 q^{63} - 5 q^{64} + 24 q^{65} - 6 q^{66} - 21 q^{67} + 2 q^{68} - 25 q^{69} - 12 q^{70} + 92 q^{71} - q^{72} + 18 q^{73} - 22 q^{74} - 9 q^{75} + 4 q^{76} - 65 q^{77} + 31 q^{78} - 58 q^{79} + 5 q^{80} - 77 q^{81} - 18 q^{82} - 49 q^{83} - 54 q^{84} - 2 q^{85} - q^{86} - 147 q^{87} + 30 q^{88} - 21 q^{89} + 12 q^{90} + 62 q^{91} + 6 q^{92} - 34 q^{93} - 9 q^{94} + 7 q^{95} + 2 q^{96} + 98 q^{97} - 39 q^{98} - 4 q^{99}+O(q^{100}) \) 50 * q - 5 * q^2 + 2 * q^3 - 5 * q^4 + 5 * q^5 + 2 * q^6 + q^7 - 5 * q^8 - q^9 + 5 * q^10 + 30 * q^11 - 9 * q^12 + 20 * q^13 - 21 * q^14 - 2 * q^15 - 5 * q^16 + 2 * q^17 - q^18 + 4 * q^19 + 5 * q^20 + 23 * q^21 - 3 * q^22 - 5 * q^23 + 2 * q^24 - 5 * q^25 - 2 * q^26 + 2 * q^27 - 10 * q^28 + 26 * q^29 - 2 * q^30 + 3 * q^31 - 5 * q^32 + 38 * q^33 + 2 * q^34 - 12 * q^35 - q^36 + 22 * q^37 - 40 * q^38 - 35 * q^39 + 5 * q^40 - 18 * q^41 - 10 * q^42 + 87 * q^43 - 3 * q^44 + 12 * q^45 + 17 * q^46 + 35 * q^47 + 2 * q^48 + 60 * q^49 - 5 * q^50 + 19 * q^51 - 24 * q^52 - 9 * q^53 + 2 * q^54 + 25 * q^55 + 12 * q^56 + 64 * q^57 + 4 * q^58 - 49 * q^59 - 2 * q^60 - 47 * q^61 - 19 * q^62 - 24 * q^63 - 5 * q^64 + 24 * q^65 - 6 * q^66 - 21 * q^67 + 2 * q^68 - 25 * q^69 - 12 * q^70 + 92 * q^71 - q^72 + 18 * q^73 - 22 * q^74 - 9 * q^75 + 4 * q^76 - 65 * q^77 + 31 * q^78 - 58 * q^79 + 5 * q^80 - 77 * q^81 - 18 * q^82 - 49 * q^83 - 54 * q^84 - 2 * q^85 - q^86 - 147 * q^87 + 30 * q^88 - 21 * q^89 + 12 * q^90 + 62 * q^91 + 6 * q^92 - 34 * q^93 - 9 * q^94 + 7 * q^95 + 2 * q^96 + 98 * q^97 - 39 * q^98 - 4 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/670\mathbb{Z}\right)^\times$.

$n$	$471$	$537$
$\chi(n)$	$e\left(\frac{1}{11}\right)$	$1$

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 $

$2$	−0.959493	−	0.281733i	−0.678464	−	0.199215i
$2$	−0.959493	−	0.281733i	−0.678464	−	0.199215i
$3$	−0.0437852	+	0.304533i	−0.0252794	+	0.175822i	−0.998550	−	0.0538413i	$-0.982853\pi$
$3$	−0.0437852	+	0.304533i	−0.0252794	+	0.175822i	0.973270	+	0.229664i	$0.0737626\pi$
$4$	0.841254	+	0.540641i	0.420627	+	0.270320i
$5$	−0.415415	−	0.909632i	−0.185779	−	0.406800i
$5$	−0.415415	−	0.909632i	−0.185779	−	0.406800i
$6$	0.127808	−	0.279862i	0.0521776	−	0.114253i
$7$	−4.20360	−	1.23429i	−1.58881	−	0.466517i	−0.636405	−	0.771355i	$-0.719579\pi$
$7$	−4.20360	−	1.23429i	−1.58881	−	0.466517i	−0.952404	+	0.304838i	$0.901398\pi$
$8$	−0.654861	−	0.755750i	−0.231528	−	0.267198i
$9$	2.78766	+	0.818530i	0.929219	+	0.272843i
$10$	0.142315	+	0.989821i	0.0450039	+	0.313009i
$11$	1.37006	+	3.00001i	0.413088	+	0.904536i	0.995774	+	0.0918388i	$0.0292744\pi$
$11$	1.37006	+	3.00001i	0.413088	+	0.904536i	−0.582686	+	0.812697i	$0.697998\pi$
$12$	−0.201477	+	0.232517i	−0.0581615	+	0.0671220i
$13$	−2.09806	+	2.42129i	−0.581897	+	0.671544i	−0.968011	−	0.250906i	$-0.919271\pi$
$13$	−2.09806	+	2.42129i	−0.581897	+	0.671544i	0.386115	+	0.922451i	$0.373817\pi$
$14$	3.68558	+	2.36858i	0.985013	+	0.633029i
$15$	0.295202	−	0.0866791i	0.0762208	−	0.0223805i
$16$	0.415415	+	0.909632i	0.103854	+	0.227408i
$17$	2.96815	−	1.90751i	0.719882	−	0.462640i	−0.128714	−	0.991682i	$-0.541085\pi$
$17$	2.96815	−	1.90751i	0.719882	−	0.462640i	0.848596	+	0.529042i	$0.177449\pi$
$18$	−2.44413	−	1.57075i	−0.576087	−	0.370229i
$19$	7.14068	−	2.09669i	1.63819	−	0.481015i	0.672363	−	0.740221i	$-0.265279\pi$
$19$	7.14068	−	2.09669i	1.63819	−	0.481015i	0.965822	+	0.259207i	$0.0834611\pi$
$20$	0.142315	−	0.989821i	0.0318226	−	0.221331i
$21$	0.559936	−	1.22609i	0.122188	−	0.267555i
$22$	−0.469361	−	3.26448i	−0.100068	−	0.695988i
$23$	0.750564	−	5.22029i	0.156503	−	1.08851i	−0.748510	−	0.663123i	$-0.769231\pi$
$23$	0.750564	−	5.22029i	0.156503	−	1.08851i	0.905014	−	0.425382i	$-0.139860\pi$
$24$	0.258824	−	0.166336i	0.0528322	−	0.0339532i
$25$	−0.654861	+	0.755750i	−0.130972	+	0.151150i
$26$	2.69523	−	1.73212i	0.528578	−	0.339696i
$27$	−0.754753	+	1.65268i	−0.145252	+	0.318058i
$28$	−2.86898	−	3.31098i	−0.542187	−	0.625717i
$29$	3.16106			0.586994			0.293497	−	0.955960i	$-0.405181\pi$
$29$	3.16106			0.586994			0.293497	+	0.955960i	$0.405181\pi$
$30$	−0.307665			−0.0561716
$31$	−5.12462	−	5.91413i	−0.920409	−	1.06221i	−0.997871	−	0.0652136i	$-0.979227\pi$
$31$	−5.12462	−	5.91413i	−0.920409	−	1.06221i	0.0774620	−	0.996995i	$-0.475318\pi$
$32$	−0.142315	−	0.989821i	−0.0251579	−	0.174977i
$33$	−0.973589	+	0.285872i	−0.169480	+	0.0497639i
$34$	−3.38533	+	0.994022i	−0.580579	+	0.170473i
$35$	0.623490	+	4.33647i	0.105389	+	0.732997i
$36$	1.90259	+	2.19571i	0.317099	+	0.365952i
$37$	10.5311			1.73129			0.865647	−	0.500655i	$-0.166907\pi$
$37$	10.5311			1.73129			0.865647	+	0.500655i	$0.166907\pi$
$38$	−7.44214			−1.20728
$39$	−0.645498	−	0.744944i	−0.103362	−	0.119287i
$40$	−0.415415	+	0.909632i	−0.0656829	+	0.143825i
$41$	0.690468	−	0.443737i	0.107833	−	0.0693000i	−0.485613	−	0.874174i	$-0.661404\pi$
$41$	0.690468	−	0.443737i	0.107833	−	0.0693000i	0.593446	+	0.804874i	$0.297767\pi$
$42$	−0.882685	+	1.01867i	−0.136201	+	0.157185i
$43$	9.49098	−	6.09948i	1.44736	−	0.930162i	0.448014	−	0.894027i	$-0.352132\pi$
$43$	9.49098	−	6.09948i	1.44736	−	0.930162i	0.999347	−	0.0361354i	$-0.0115048\pi$
$44$	−0.469361	+	3.26448i	−0.0707588	+	0.492138i
$45$	−0.413473	−	2.87577i	−0.0616370	−	0.428695i
$46$	−2.19089	+	4.79737i	−0.323029	+	0.707334i
$47$	−1.18773	+	8.26086i	−0.173249	+	1.20497i	0.698715	+	0.715400i	$0.253755\pi$
$47$	−1.18773	+	8.26086i	−0.173249	+	1.20497i	−0.871964	+	0.489570i	$0.837154\pi$
$48$	−0.295202	+	0.0866791i	−0.0426087	+	0.0125111i
$49$	10.2580	+	6.59240i	1.46542	+	0.941771i
$50$	0.841254	−	0.540641i	0.118971	−	0.0764582i
$51$	0.450940	+	0.987420i	0.0631442	+	0.138266i
$52$	−3.07405	+	0.902621i	−0.426293	+	0.125171i
$53$	3.52689	+	2.26660i	0.484456	+	0.311341i	0.759972	−	0.649956i	$-0.225212\pi$
$53$	3.52689	+	2.26660i	0.484456	+	0.311341i	−0.275516	+	0.961296i	$0.588849\pi$
$54$	1.18979	−	1.37309i	0.161910	−	0.186855i
$55$	2.15976	−	2.49250i	0.291222	−	0.336088i
$56$	1.81996	+	3.98515i	0.243202	+	0.532538i
$57$	0.325856	+	2.26638i	0.0431607	+	0.300189i
$58$	−3.03301	−	0.890574i	−0.398254	−	0.116938i
$59$	−6.45090	−	7.44473i	−0.839835	−	0.969222i	0.160004	−	0.987116i	$-0.448849\pi$
$59$	−6.45090	−	7.44473i	−0.839835	−	0.969222i	−0.999840	+	0.0178946i	$0.994304\pi$
$60$	0.295202	+	0.0866791i	0.0381104	+	0.0111902i
$61$	−0.230310	+	0.504308i	−0.0294881	+	0.0645700i	−0.923803	−	0.382868i	$-0.874936\pi$
$61$	−0.230310	+	0.504308i	−0.0294881	+	0.0645700i	0.894315	+	0.447438i	$0.147664\pi$
$62$	3.25084	+	7.11834i	0.412857	+	0.904030i
$63$	−10.7079	−	6.88153i	−1.34907	−	0.866992i
$64$	−0.142315	+	0.989821i	−0.0177894	+	0.123728i
$65$	3.07405	+	0.902621i	0.381288	+	0.111956i
$66$	1.01469			0.124900
$67$	7.98934	+	1.78058i	0.976053	+	0.217532i
$67$	7.98934	+	1.78058i	0.976053	+	0.217532i
$68$	3.52825			0.427863
$69$	1.55689	+	0.457143i	0.187427	+	0.0550336i
$70$	0.623490	−	4.33647i	0.0745213	−	0.518307i
$71$	−4.43566	−	2.85062i	−0.526416	−	0.338307i	0.250290	−	0.968171i	$-0.419474\pi$
$71$	−4.43566	−	2.85062i	−0.526416	−	0.338307i	−0.776705	+	0.629864i	$0.783111\pi$
$72$	−1.20692	−	2.64279i	−0.142237	−	0.311456i
$73$	−0.260520	+	0.570460i	−0.0304916	+	0.0667673i	−0.924265	−	0.381752i	$-0.875321\pi$
$73$	−0.260520	+	0.570460i	−0.0304916	+	0.0667673i	0.893773	+	0.448519i	$0.148048\pi$
$74$	−10.1045	−	2.96694i	−1.17462	−	0.344900i
$75$	−0.201477	−	0.232517i	−0.0232646	−	0.0268488i
$76$	7.14068	+	2.09669i	0.819093	+	0.240507i
$77$	−2.05630	−	14.3019i	−0.234337	−	1.62985i
$78$	0.409476	+	0.896627i	0.0463640	+	0.101523i
$79$	1.90092	−	2.19378i	0.213870	−	0.246819i	−0.638671	−	0.769480i	$-0.720515\pi$
$79$	1.90092	−	2.19378i	0.213870	−	0.246819i	0.852540	+	0.522661i	$0.175061\pi$
$80$	0.654861	−	0.755750i	0.0732157	−	0.0844954i
$81$	6.86214	+	4.41003i	0.762460	+	0.490003i
$82$	−0.787514	+	0.231235i	−0.0869664	+	0.0255356i
$83$	−2.16889	−	4.74921i	−0.238067	−	0.521293i	0.752456	−	0.658643i	$-0.228869\pi$
$83$	−2.16889	−	4.74921i	−0.238067	−	0.521293i	−0.990523	+	0.137349i	$0.956142\pi$
$84$	1.13392	−	0.728728i	0.123721	−	0.0795107i
$85$	−2.96815	−	1.90751i	−0.321941	−	0.206899i
$86$	−10.8249	+	3.17849i	−1.16728	+	0.342746i
$87$	−0.138408	+	0.962647i	−0.0148389	+	0.103207i
$88$	1.37006	−	3.00001i	0.146049	−	0.319802i
$89$	1.45915	+	10.1486i	0.154670	+	1.07575i	0.908259	+	0.418408i	$0.137412\pi$
$89$	1.45915	+	10.1486i	0.154670	+	1.07575i	−0.753589	+	0.657346i	$0.771679\pi$
$90$	−0.413473	+	2.87577i	−0.0435839	+	0.303133i
$91$	11.8079	−	7.58851i	1.23781	−	0.795492i
$92$	3.45372	−	3.98580i	0.360075	−	0.415549i
$93$	2.02543	−	1.30166i	0.210027	−	0.134976i
$94$	3.46697	−	7.59161i	0.357591	−	0.783015i
$95$	−4.87357	−	5.62440i	−0.500017	−	0.577051i
$96$	0.307665			0.0314009
$97$	2.09886			0.213107			0.106553	−	0.994307i	$-0.466018\pi$
$97$	2.09886			0.213107			0.106553	+	0.994307i	$0.466018\pi$
$98$	−7.98516	−	9.21537i	−0.806623	−	0.930893i
$99$	1.36365	+	9.48442i	0.137052	+	0.953220i
$100$	−0.959493	+	0.281733i	−0.0959493	+	0.0281733i
$101$	3.80374	−	1.11688i	0.378487	−	0.111134i	−0.0869551	−	0.996212i	$-0.527714\pi$
$101$	3.80374	−	1.11688i	0.378487	−	0.111134i	0.465442	+	0.885079i	$0.345895\pi$
$102$	−0.154485	−	1.07447i	−0.0152963	−	0.106388i
$103$	2.80834	+	3.24100i	0.276714	+	0.319345i	0.877047	−	0.480405i	$-0.159510\pi$
$103$	2.80834	+	3.24100i	0.276714	+	0.319345i	−0.600332	+	0.799751i	$0.704965\pi$
$104$	3.20382			0.314161
$105$	−1.34790			−0.131541
$106$	−2.74545	−	3.16842i	−0.266662	−	0.307744i
$107$	−2.79282	+	6.11542i	−0.269992	+	0.591200i	−0.995258	−	0.0972683i	$-0.968990\pi$
$107$	−2.79282	+	6.11542i	−0.269992	+	0.591200i	0.725266	+	0.688469i	$0.241717\pi$
$108$	−1.52844	+	0.982271i	−0.147075	+	0.0945191i
$109$	7.71553	−	8.90419i	0.739014	−	0.852867i	−0.254442	−	0.967088i	$-0.581892\pi$
$109$	7.71553	−	8.90419i	0.739014	−	0.852867i	0.993455	+	0.114221i	$0.0364372\pi$
$110$	−2.77449	+	1.78306i	−0.264537	+	0.170008i
$111$	−0.461105	+	3.20705i	−0.0437661	+	0.304400i
$112$	−0.623490	−	4.33647i	−0.0589142	−	0.409758i
$113$	−2.92121	+	6.39655i	−0.274804	+	0.601737i	−0.995836	−	0.0911651i	$-0.970941\pi$
$113$	−2.92121	+	6.39655i	−0.274804	+	0.601737i	0.721032	+	0.692902i	$0.243668\pi$
$114$	0.325856	−	2.26638i	0.0305192	−	0.212266i
$115$	−5.06034	+	1.48585i	−0.471879	+	0.138556i
$116$	2.65925	+	1.70900i	0.246905	+	0.158676i
$117$	−7.83056	+	5.03239i	−0.723935	+	0.465245i
$118$	4.09217	+	8.96060i	0.376715	+	0.824890i
$119$	−14.8313	+	4.35487i	−1.35958	+	0.399210i
$120$	−0.258824	−	0.166336i	−0.0236273	−	0.0151843i
$121$	0.0804841	−	0.0928836i	0.00731673	−	0.00844396i
$122$	0.363061	−	0.418994i	0.0328700	−	0.0379340i
$123$	0.104900	+	0.229699i	0.00945853	+	0.0207113i
$124$	−1.11369	−	7.74586i	−0.100012	−	0.695599i
$125$	0.959493	+	0.281733i	0.0858197	+	0.0251989i
$126$	8.33538	+	9.61954i	0.742575	+	0.856977i
$127$	11.6785	+	3.42910i	1.03630	+	0.304284i	0.755268	−	0.655416i	$-0.227507\pi$
$127$	11.6785	+	3.42910i	1.03630	+	0.304284i	0.281027	+	0.959700i	$0.409325\pi$
$128$	0.415415	−	0.909632i	0.0367178	−	0.0804009i
$129$	1.44193	+	3.15738i	0.126955	+	0.277992i
$130$	−2.69523	−	1.73212i	−0.236387	−	0.151917i
$131$	−2.40659	+	16.7382i	−0.210264	+	1.46242i	0.562009	+	0.827131i	$0.310029\pi$
$131$	−2.40659	+	16.7382i	−0.210264	+	1.46242i	−0.772273	+	0.635290i	$0.780880\pi$
$132$	−0.973589	−	0.285872i	−0.0847401	−	0.0248819i
$133$	−32.6045			−2.82717
$134$	−7.16407	−	3.95931i	−0.618881	−	0.342032i
$135$	1.81686			0.156371
$136$	−3.38533	−	0.994022i	−0.290289	−	0.0852367i
$137$	0.631188	−	4.39001i	0.0539260	−	0.375064i	−0.944931	−	0.327269i	$-0.893872\pi$
$137$	0.631188	−	4.39001i	0.0539260	−	0.375064i	0.998857	−	0.0477945i	$-0.0152193\pi$
$138$	−1.36503	−	0.877251i	−0.116199	−	0.0746766i
$139$	−6.82494	−	14.9445i	−0.578884	−	1.26758i	−0.941931	−	0.335808i	$-0.890991\pi$
$139$	−6.82494	−	14.9445i	−0.578884	−	1.26758i	0.363047	−	0.931771i	$-0.381737\pi$
$140$	−1.81996	+	3.98515i	−0.153814	+	0.336807i
$141$	−2.46370	−	0.723407i	−0.207481	−	0.0609219i
$142$	3.45287	+	3.98482i	0.289758	+	0.334399i
$143$	−10.1383	−	2.97688i	−0.847810	−	0.248940i
$144$	0.413473	+	2.87577i	0.0344561	+	0.239648i
$145$	−1.31315	−	2.87540i	−0.109051	−	0.238789i
$146$	0.410684	−	0.473955i	0.0339885	−	0.0392248i
$147$	−2.45675	+	2.83524i	−0.202629	+	0.233847i
$148$	8.85928	+	5.69352i	0.728229	+	0.468004i
$149$	−20.8447	+	6.12056i	−1.70767	+	0.501416i	−0.982358	−	0.187008i	$-0.940121\pi$
$149$	−20.8447	+	6.12056i	−1.70767	+	0.501416i	−0.725308	+	0.688425i	$0.758303\pi$
$150$	0.127808	+	0.279862i	0.0104355	+	0.0228506i
$151$	−8.36670	+	5.37695i	−0.680872	+	0.437570i	−0.834830	−	0.550507i	$-0.814434\pi$
$151$	−8.36670	+	5.37695i	−0.680872	+	0.437570i	0.153958	+	0.988077i	$0.450798\pi$
$152$	−6.26073	−	4.02353i	−0.507812	−	0.326351i
$153$	9.83553	−	2.88797i	0.795156	−	0.233479i
$154$	−2.05630	+	14.3019i	−0.165701	+	1.15248i
$155$	−3.25084	+	7.11834i	−0.261113	+	0.571759i
$156$	−0.140280	−	0.975670i	−0.0112314	−	0.0781161i
$157$	−2.61525	+	18.1895i	−0.208720	+	1.45168i	0.568621	+	0.822600i	$0.307477\pi$
$157$	−2.61525	+	18.1895i	−0.208720	+	1.45168i	−0.777341	+	0.629080i	$0.783432\pi$
$158$	−2.44197	+	1.56936i	−0.194273	+	0.124852i
$159$	−0.844679	+	0.974811i	−0.0669874	+	0.0773076i
$160$	−0.841254	+	0.540641i	−0.0665069	+	0.0427414i
$161$	−9.59840	+	21.0176i	−0.756460	+	1.65642i
$162$	−5.34173	−	6.16468i	−0.419686	−	0.484343i
$163$	−15.4992			−1.21399			−0.606996	−	0.794705i	$-0.707625\pi$
$163$	−15.4992			−1.21399			−0.606996	+	0.794705i	$0.707625\pi$
$164$	0.820761			0.0640906
$165$	0.664482	+	0.766853i	0.0517298	+	0.0596994i
$166$	0.743029	+	5.16788i	0.0576702	+	0.401105i
$167$	−8.16204	+	2.39659i	−0.631598	+	0.185454i	−0.581835	−	0.813307i	$-0.697665\pi$
$167$	−8.16204	+	2.39659i	−0.631598	+	0.185454i	−0.0497633	+	0.998761i	$0.515847\pi$
$168$	−1.29330	+	0.379746i	−0.0997801	+	0.0292981i
$169$	0.389305	+	2.70768i	0.0299465	+	0.208283i
$170$	2.31051	+	2.66647i	0.177208	+	0.204509i
$171$	21.6220			1.65347
$172$	11.2819			0.860240
$173$	−6.58617	−	7.60084i	−0.500737	−	0.577881i	0.447966	−	0.894051i	$-0.352149\pi$
$173$	−6.58617	−	7.60084i	−0.500737	−	0.577881i	−0.948703	+	0.316170i	$0.897603\pi$
$174$	0.404010	−	0.884659i	0.0306279	−	0.0670658i
$175$	3.68558	−	2.36858i	0.278604	−	0.179048i
$176$	−2.15976	+	2.49250i	−0.162798	+	0.187879i
$177$	2.54962	−	1.63854i	0.191641	−	0.123160i
$178$	1.45915	−	10.1486i	0.109368	−	0.760673i
$179$	2.01660	+	14.0258i	0.150728	+	1.04834i	0.915004	+	0.403446i	$0.132188\pi$
$179$	2.01660	+	14.0258i	0.150728	+	1.04834i	−0.764276	+	0.644889i	$0.776903\pi$
$180$	1.20692	−	2.64279i	0.0899587	−	0.196982i
$181$	3.08383	−	21.4485i	0.229219	−	1.59426i	−0.472189	−	0.881497i	$-0.656536\pi$
$181$	3.08383	−	21.4485i	0.229219	−	1.59426i	0.701409	−	0.712759i	$-0.252555\pi$
$182$	−13.4676	+	3.95444i	−0.998283	+	0.293122i
$183$	−0.143494	−	0.0922182i	−0.0106074	−	0.00681696i
$184$	−4.43675	+	2.85132i	−0.327081	+	0.210202i
$185$	−4.37476	−	9.57938i	−0.321638	−	0.704290i
$186$	−2.31011	+	0.678309i	−0.169385	+	0.0497360i
$187$	9.78909	+	6.29106i	0.715849	+	0.460048i
$188$	−5.46534	+	6.30734i	−0.398601	+	0.460010i
$189$	5.21255	−	6.01561i	0.379158	−	0.437571i
$190$	3.09158	+	6.76961i	0.224287	+	0.491119i
$191$	−1.96494	−	13.6664i	−0.142178	−	0.988870i	−0.928574	−	0.371147i	$-0.878965\pi$
$191$	−1.96494	−	13.6664i	−0.142178	−	0.988870i	0.786396	−	0.617723i	$-0.211945\pi$
$192$	−0.295202	−	0.0866791i	−0.0213044	−	0.00625553i
$193$	−6.61980	−	7.63965i	−0.476503	−	0.549914i	0.465706	−	0.884940i	$-0.345801\pi$
$193$	−6.61980	−	7.63965i	−0.476503	−	0.549914i	−0.942209	+	0.335025i	$0.891255\pi$
$194$	−2.01384	−	0.591317i	−0.144585	−	0.0424541i
$195$	−0.409476	+	0.896627i	−0.0293232	+	0.0642088i
$196$	5.06544	+	11.0918i	0.361817	+	0.792268i
$197$	−3.74447	−	2.40642i	−0.266782	−	0.171450i	0.400410	−	0.916336i	$-0.368868\pi$
$197$	−3.74447	−	2.40642i	−0.266782	−	0.171450i	−0.667192	+	0.744886i	$0.732504\pi$
$198$	1.36365	−	9.48442i	0.0969106	−	0.674028i
$199$	23.5193	+	6.90590i	1.66724	+	0.489546i	0.973118	−	0.230309i	$-0.0739736\pi$
$199$	23.5193	+	6.90590i	1.66724	+	0.489546i	0.694124	+	0.719855i	$0.255792\pi$
$200$	1.00000			0.0707107
$201$	−0.892060	+	2.35505i	−0.0629210	+	0.166113i
$202$	−3.96433			−0.278929
$203$	−13.2878	−	3.90166i	−0.932622	−	0.273842i
$204$	−0.154485	+	1.07447i	−0.0108161	+	0.0752277i
$205$	−0.690468	−	0.443737i	−0.0482244	−	0.0309919i
$206$	−1.78149	−	3.90092i	−0.124122	−	0.271790i
$207$	6.36528	−	13.9380i	0.442417	−	0.968759i
$208$	−3.07405	−	0.902621i	−0.213147	−	0.0625855i
$209$	16.0732	+	18.5495i	1.11181	+	1.28310i
$210$	1.29330	+	0.379746i	0.0892460	+	0.0262050i
$211$	−2.75723	−	19.1770i	−0.189816	−	1.32020i	−0.832482	−	0.554052i	$-0.813081\pi$
$211$	−2.75723	−	19.1770i	−0.189816	−	1.32020i	0.642667	−	0.766146i	$-0.277828\pi$
$212$	1.74160	+	3.81356i	0.119613	+	0.261917i
$213$	1.06233	−	1.22599i	0.0727893	−	0.0840034i
$214$	4.40261	−	5.08088i	0.300956	−	0.347322i
$215$	−9.49098	−	6.09948i	−0.647279	−	0.415981i
$216$	1.74327	−	0.511870i	0.118614	−	0.0348283i
$217$	14.2421	+	31.1859i	0.966817	+	2.11703i
$218$	−9.91160	+	6.36980i	−0.671298	+	0.431417i
$219$	−0.162317	−	0.104315i	−0.0109684	−	0.00704893i
$220$	3.16445	−	0.929167i	0.213347	−	0.0626444i
$221$	−1.60871	+	11.1888i	−0.108213	+	0.752641i
$222$	1.34596	−	2.94724i	0.0903348	−	0.197806i
$223$	−0.416028	−	2.89354i	−0.0278593	−	0.193766i	0.971139	−	0.238514i	$-0.0766604\pi$
$223$	−0.416028	−	2.89354i	−0.0278593	−	0.193766i	−0.998998	+	0.0447486i	$0.985751\pi$
$224$	−0.623490	+	4.33647i	−0.0416587	+	0.289742i
$225$	−2.44413	+	1.57075i	−0.162942	+	0.104716i
$226$	4.60499	−	5.31445i	0.306320	−	0.353512i
$227$	4.81382	−	3.09366i	0.319505	−	0.205333i	−0.371051	−	0.928613i	$-0.621002\pi$
$227$	4.81382	−	3.09366i	0.319505	−	0.205333i	0.690556	+	0.723279i	$0.257366\pi$
$228$	−0.951169	+	2.08277i	−0.0629927	+	0.137935i
$229$	2.57189	+	2.96811i	0.169955	+	0.196139i	0.834337	−	0.551255i	$-0.185851\pi$
$229$	2.57189	+	2.96811i	0.169955	+	0.196139i	−0.664382	+	0.747393i	$0.731305\pi$
$230$	5.27397			0.347755
$231$	4.44542			0.292487
$232$	−2.07005	−	2.38897i	−0.135906	−	0.156844i
$233$	−0.924755	−	6.43181i	−0.0605827	−	0.421362i	−0.997431	−	0.0716272i	$-0.977181\pi$
$233$	−0.924755	−	6.43181i	−0.0605827	−	0.421362i	0.936849	−	0.349735i	$-0.113728\pi$
$234$	8.93116	−	2.62242i	0.583848	−	0.171433i
$235$	8.00774	−	2.35129i	0.522368	−	0.153381i
$236$	−1.40191	−	9.75053i	−0.0912568	−	0.634705i
$237$	0.584845	+	0.674947i	0.0379898	+	0.0438425i
$238$	15.4575			1.00196
$239$	0.792913			0.0512893			0.0256446	−	0.999671i	$-0.491836\pi$
$239$	0.792913			0.0512893			0.0256446	+	0.999671i	$0.491836\pi$
$240$	0.201477	+	0.232517i	0.0130053	+	0.0150089i
$241$	2.58245	−	5.65478i	0.166350	−	0.364256i	−0.808037	−	0.589131i	$-0.799470\pi$
$241$	2.58245	−	5.65478i	0.166350	−	0.364256i	0.974388	+	0.224875i	$0.0721974\pi$
$242$	−0.103392	+	0.0664461i	−0.00664630	+	0.00427132i
$243$	−5.21284	+	6.01594i	−0.334404	+	0.385923i
$244$	−0.466398	+	0.299736i	−0.0298581	+	0.0191886i
$245$	1.73534	−	12.0696i	0.110867	−	0.771096i
$246$	−0.0359372	−	0.249949i	−0.00229127	−	0.0159361i
$247$	−9.90487	+	21.6886i	−0.630232	+	1.38001i
$248$	−1.11369	+	7.74586i	−0.0707192	+	0.491863i
$249$	1.54126	−	0.452554i	0.0976731	−	0.0286794i
$250$	−0.841254	−	0.540641i	−0.0532055	−	0.0341931i
$251$	−8.97439	+	5.76749i	−0.566458	+	0.364041i	−0.792308	−	0.610121i	$-0.791121\pi$
$251$	−8.97439	+	5.76749i	−0.566458	+	0.364041i	0.225849	+	0.974162i	$0.427484\pi$
$252$	−5.28760	−	11.5782i	−0.333088	−	0.729360i
$253$	16.6892	−	4.90040i	1.04924	−	0.308085i
$254$	−10.2393	−	6.58040i	−0.642471	−	0.412891i
$255$	0.710862	−	0.820378i	0.0445159	−	0.0513741i
$256$	−0.654861	+	0.755750i	−0.0409288	+	0.0472343i
$257$	−3.46007	−	7.57651i	−0.215834	−	0.472610i	0.770485	−	0.637458i	$-0.220014\pi$
$257$	−3.46007	−	7.57651i	−0.215834	−	0.472610i	−0.986319	+	0.164848i	$0.947287\pi$
$258$	−0.493983	−	3.43572i	−0.0307540	−	0.213899i
$259$	−44.2683	−	12.9983i	−2.75070	−	0.807677i
$260$	2.09806	+	2.42129i	0.130116	+	0.150162i
$261$	8.81195	+	2.58742i	0.545446	+	0.160157i
$262$	7.02479	−	15.3822i	0.433993	−	0.950312i
$263$	−12.0879	−	26.4689i	−0.745375	−	1.63214i	−0.774506	−	0.632567i	$-0.782001\pi$
$263$	−12.0879	−	26.4689i	−0.745375	−	1.63214i	0.0291312	−	0.999576i	$-0.490726\pi$
$264$	0.853613	+	0.548584i	0.0525362	+	0.0337630i
$265$	0.596644	−	4.14975i	0.0366516	−	0.254917i
$266$	31.2838	+	9.18574i	1.91813	+	0.563214i
$267$	−3.15449			−0.193051
$268$	5.75841	+	5.81728i	0.351751	+	0.355347i
$269$	15.2636			0.930637			0.465318	−	0.885143i	$-0.345940\pi$
$269$	15.2636			0.930637			0.465318	+	0.885143i	$0.345940\pi$
$270$	−1.74327	−	0.511870i	−0.106092	−	0.0311514i
$271$	−3.58186	+	24.9124i	−0.217583	+	1.51332i	0.529340	+	0.848410i	$0.322440\pi$
$271$	−3.58186	+	24.9124i	−0.217583	+	1.51332i	−0.746923	+	0.664911i	$0.768470\pi$
$272$	2.96815	+	1.90751i	0.179970	+	0.115660i
$273$	1.79394	+	3.92817i	0.108574	+	0.237744i
$274$	−1.84243	+	4.03435i	−0.111305	+	0.243724i
$275$	−3.16445	−	0.929167i	−0.190824	−	0.0560308i
$276$	1.06259	+	1.22629i	0.0639602	+	0.0738140i
$277$	9.76719	+	2.86790i	0.586853	+	0.172316i	0.561662	−	0.827367i	$-0.310162\pi$
$277$	9.76719	+	2.86790i	0.586853	+	0.172316i	0.0251916	+	0.999683i	$0.491980\pi$
$278$	2.33812	+	16.2620i	0.140231	+	0.975329i
$279$	−9.44479	−	20.6812i	−0.565445	−	1.23815i
$280$	2.86898	−	3.31098i	0.171455	−	0.197869i
$281$	19.7980	−	22.8481i	1.18105	−	1.36300i	0.263855	−	0.964562i	$-0.415006\pi$
$281$	19.7980	−	22.8481i	1.18105	−	1.36300i	0.917194	−	0.398441i	$-0.130449\pi$
$282$	2.16009	+	1.38821i	0.128632	+	0.0826666i
$283$	−4.40267	+	1.29274i	−0.261711	+	0.0768454i	−0.409956	−	0.912105i	$-0.634456\pi$
$283$	−4.40267	+	1.29274i	−0.261711	+	0.0768454i	0.148245	+	0.988951i	$0.452638\pi$
$284$	−2.19035	−	4.79620i	−0.129973	−	0.284602i
$285$	1.92620	−	1.23790i	0.114099	−	0.0733267i
$286$	8.88898	+	5.71260i	0.525616	+	0.337793i
$287$	−3.45015	+	1.01305i	−0.203656	+	0.0597987i
$288$	0.413473	−	2.87577i	0.0243642	−	0.169456i
$289$	−1.89075	+	4.14017i	−0.111221	+	0.243540i
$290$	0.449866	+	3.12888i	0.0264170	+	0.183734i
$291$	−0.0918990	+	0.639172i	−0.00538721	+	0.0374689i
$292$	−0.527577	+	0.339053i	−0.0308741	+	0.0198416i
$293$	−18.1924	+	20.9951i	−1.06281	+	1.22655i	−0.0897572	+	0.995964i	$0.528609\pi$
$293$	−18.1924	+	20.9951i	−1.06281	+	1.22655i	−0.973052	+	0.230584i	$0.925936\pi$
$294$	3.15602	−	2.02825i	0.184063	−	0.118290i
$295$	−4.09217	+	8.96060i	−0.238255	+	0.521706i
$296$	−6.89637	−	7.95884i	−0.400843	−	0.462598i
$297$	−5.99210			−0.347697
$298$	21.7247			1.25848
$299$	11.0651	+	12.7698i	0.639911	+	0.738497i
$300$	−0.0437852	−	0.304533i	−0.00252794	−	0.0175822i
$301$	−47.4247	+	13.9252i	−2.73352	+	0.802633i
$302$	9.54265	−	2.80198i	0.549118	−	0.161236i
$303$	0.173579	+	1.20727i	0.00997185	+	0.0693557i
$304$	4.87357	+	5.62440i	0.279518	+	0.322581i
$305$	0.554409			0.0317454
$306$	−10.2508			−0.585997
$307$	−17.3439	−	20.0160i	−0.989871	−	1.14237i	−0.989813	−	0.142372i	$-0.954527\pi$
$307$	−17.3439	−	20.0160i	−0.989871	−	1.14237i	−5.75090e−5	−	1.00000i	$-0.500018\pi$
$308$	6.00230	−	13.1432i	0.342013	−	0.748904i
$309$	−1.10996	+	0.713325i	−0.0631432	+	0.0405797i
$310$	5.12462	−	5.91413i	0.291059	−	0.335900i
$311$	−5.76253	+	3.70335i	−0.326763	+	0.209998i	−0.693728	−	0.720237i	$-0.744033\pi$
$311$	−5.76253	+	3.70335i	−0.326763	+	0.209998i	0.366965	+	0.930235i	$0.380397\pi$
$312$	−0.140280	+	0.975670i	−0.00794180	+	0.0552364i
$313$	−1.37789	−	9.58343i	−0.0778829	−	0.541688i	−0.990987	−	0.133960i	$-0.957231\pi$
$313$	−1.37789	−	9.58343i	−0.0778829	−	0.541688i	0.913104	−	0.407727i	$-0.133679\pi$
$314$	7.63389	−	16.7159i	0.430805	−	0.943332i
$315$	−1.81145	+	12.5989i	−0.102064	+	0.709869i
$316$	2.78520	−	0.817808i	0.156680	−	0.0460053i
$317$	23.6726	+	15.2135i	1.32959	+	0.854473i	0.996096	−	0.0882808i	$-0.0281373\pi$
$317$	23.6726	+	15.2135i	1.32959	+	0.854473i	0.333490	+	0.942754i	$0.391774\pi$
$318$	1.08510	−	0.697351i	0.0608494	−	0.0391055i
$319$	4.33083	+	9.48320i	0.242480	+	0.530957i
$320$	0.959493	−	0.281733i	0.0536373	−	0.0157493i
$321$	−1.74006	−	1.11827i	−0.0971209	−	0.0624158i
$322$	15.1309	−	17.4620i	0.843214	−	0.973121i
$323$	17.1951	−	19.8443i	0.956763	−	1.10416i
$324$	3.38856	+	7.41991i	0.188253	+	0.412217i
$325$	−0.455952	−	3.17121i	−0.0252916	−	0.175907i
$326$	14.8714	+	4.36663i	0.823649	+	0.241845i
$327$	2.37379	+	2.73950i	0.131271	+	0.151495i
$328$	−0.787514	−	0.231235i	−0.0434832	−	0.0127678i
$329$	15.1890	−	33.2593i	0.837398	−	1.83364i
$330$	−0.421518	−	0.922996i	−0.0232038	−	0.0508092i
$331$	5.81894	+	3.73960i	0.319838	+	0.205547i	0.690701	−	0.723140i	$-0.257302\pi$
$331$	5.81894	+	3.73960i	0.319838	+	0.205547i	−0.370864	+	0.928687i	$0.620938\pi$
$332$	0.743029	−	5.16788i	0.0407790	−	0.283624i
$333$	29.3569	+	8.61998i	1.60875	+	0.472372i
$334$	8.50662			0.465462
$335$	−1.69922	−	8.00704i	−0.0928384	−	0.437471i
$336$	1.34790			0.0735338
$337$	−5.82839	−	1.71137i	−0.317493	−	0.0932243i	0.119104	−	0.992882i	$-0.461998\pi$
$337$	−5.82839	−	1.71137i	−0.317493	−	0.0932243i	−0.436596	+	0.899658i	$0.643816\pi$
$338$	0.389305	−	2.70768i	0.0211754	−	0.147278i
$339$	−1.82006	−	1.16968i	−0.0988518	−	0.0635282i
$340$	−1.46569	−	3.20941i	−0.0794880	−	0.174054i
$341$	10.7214	−	23.4766i	0.580596	−	1.27133i
$342$	−20.7461	−	6.09161i	−1.12182	−	0.329397i
$343$	−14.9006	−	17.1962i	−0.804555	−	0.928506i
$344$	−10.8249	−	3.17849i	−0.583642	−	0.171373i
$345$	−0.230922	−	1.60610i	−0.0124324	−	0.0864694i
$346$	4.17798	+	9.14849i	0.224609	+	0.491826i
$347$	11.9684	−	13.8123i	0.642498	−	0.741483i	−0.337316	−	0.941391i	$-0.609519\pi$
$347$	11.9684	−	13.8123i	0.642498	−	0.741483i	0.979815	+	0.199909i	$0.0640646\pi$
$348$	−0.636882	+	0.735001i	−0.0341405	+	0.0394002i
$349$	−3.24059	−	2.08260i	−0.173465	−	0.111479i	0.451027	−	0.892510i	$-0.351058\pi$
$349$	−3.24059	−	2.08260i	−0.173465	−	0.111479i	−0.624492	+	0.781031i	$0.714694\pi$
$350$	−4.20360	+	1.23429i	−0.224692	+	0.0659754i
$351$	−2.41809	−	5.29489i	−0.129068	−	0.282620i
$352$	2.77449	−	1.78306i	0.147881	−	0.0950373i
$353$	28.5488	+	18.3472i	1.51950	+	0.976524i	0.991898	+	0.127034i	$0.0405456\pi$
$353$	28.5488	+	18.3472i	1.51950	+	0.976524i	0.527603	+	0.849491i	$0.323091\pi$
$354$	−2.90797	+	0.853858i	−0.154557	+	0.0453821i
$355$	−0.750380	+	5.21901i	−0.0398260	+	0.276996i
$356$	−4.25925	+	9.32646i	−0.225740	+	0.494301i
$357$	−0.676808	−	4.70730i	−0.0358205	−	0.249137i
$358$	2.01660	−	14.0258i	0.106581	−	0.741285i
$359$	3.89068	−	2.50039i	0.205342	−	0.131965i	−0.433928	−	0.900947i	$-0.642873\pi$
$359$	3.89068	−	2.50039i	0.205342	−	0.131965i	0.639270	+	0.768982i	$0.279236\pi$
$360$	−1.90259	+	2.19571i	−0.100276	+	0.115724i
$361$	30.6094	−	19.6715i	1.61102	−	1.03534i
$362$	−9.00166	+	19.7109i	−0.473117	+	1.03598i
$363$	0.0247621	+	0.0285770i	0.00129967	+	0.00149990i
$364$	14.0361			0.735693
$365$	0.627132			0.0328256
$366$	0.111701	+	0.128910i	0.00583870	+	0.00673822i
$367$	1.81207	+	12.6032i	0.0945894	+	0.657884i	0.980860	+	0.194715i	$0.0623784\pi$
$367$	1.81207	+	12.6032i	0.0945894	+	0.657884i	−0.886270	+	0.463168i	$0.846713\pi$
$368$	5.06034	−	1.48585i	0.263788	−	0.0774553i
$369$	2.28800	−	0.671817i	0.119108	−	0.0349734i
$370$	1.49872	+	10.4239i	0.0779150	+	0.541911i
$371$	−12.0280	−	13.8810i	−0.624462	−	0.720668i
$372$	2.40763			0.124830
$373$	28.7309			1.48763			0.743815	−	0.668385i	$-0.233014\pi$
$373$	28.7309			1.48763			0.743815	+	0.668385i	$0.233014\pi$
$374$	−7.62016	−	8.79414i	−0.394029	−	0.454734i
$375$	−0.127808	+	0.279862i	−0.00660000	+	0.0144520i
$376$	7.02094	−	4.51208i	0.362077	−	0.232693i
$377$	−6.63209	+	7.65384i	−0.341570	+	0.394193i
$378$	−6.69620	+	4.30339i	−0.344415	+	0.221342i
$379$	0.692913	−	4.81931i	0.0355925	−	0.247551i	−0.964256	−	0.264974i	$-0.914637\pi$
$379$	0.692913	−	4.81931i	0.0355925	−	0.247551i	0.999848	+	0.0174220i	$0.00554588\pi$
$380$	−1.05913	−	7.36639i	−0.0543321	−	0.377888i
$381$	−1.55562	+	3.40633i	−0.0796968	+	0.174512i
$382$	−1.96494	+	13.6664i	−0.100535	+	0.699236i
$383$	11.9514	−	3.50924i	0.610687	−	0.179314i	0.0382577	−	0.999268i	$-0.487819\pi$
$383$	11.9514	−	3.50924i	0.610687	−	0.179314i	0.572429	+	0.819954i	$0.306001\pi$
$384$	0.258824	+	0.166336i	0.0132081	+	0.00848830i
$385$	−12.1552	+	7.81168i	−0.619487	+	0.398120i
$386$	4.19931	+	9.19520i	0.213739	+	0.468024i
$387$	31.4502	−	9.23461i	1.59870	−	0.469421i
$388$	1.76567	+	1.13473i	0.0896384	+	0.0576071i
$389$	−15.2028	+	17.5449i	−0.770811	+	0.889564i	−0.996410	−	0.0846565i	$-0.973021\pi$
$389$	−15.2028	+	17.5449i	−0.770811	+	0.889564i	0.225599	+	0.974220i	$0.427566\pi$
$390$	0.645498	−	0.744944i	0.0326861	−	0.0377217i
$391$	−7.72999	−	16.9263i	−0.390922	−	0.856000i
$392$	−1.73534	−	12.0696i	−0.0876480	−	0.609605i
$393$	−4.99195	−	1.46577i	−0.251811	−	0.0739383i
$394$	2.91482	+	3.36388i	0.146847	+	0.169470i
$395$	−2.78520	−	0.817808i	−0.140138	−	0.0411484i
$396$	−3.98049	+	8.71605i	−0.200027	+	0.437998i
$397$	0.515110	+	1.12793i	0.0258526	+	0.0566093i	0.922118	−	0.386909i	$-0.126457\pi$
$397$	0.515110	+	1.12793i	0.0258526	+	0.0566093i	−0.896265	+	0.443519i	$0.853730\pi$
$398$	−20.6210	−	13.2523i	−1.03364	−	0.664279i
$399$	1.42759	−	9.92914i	0.0714691	−	0.497079i
$400$	−0.959493	−	0.281733i	−0.0479746	−	0.0140866i
$401$	9.62568			0.480684			0.240342	−	0.970688i	$-0.422740\pi$
$401$	9.62568			0.480684			0.240342	+	0.970688i	$0.422740\pi$
$402$	1.51942	−	2.00834i	0.0757818	−	0.100167i
$403$	25.0716			1.24890
$404$	3.80374	+	1.11688i	0.189243	+	0.0555668i
$405$	1.16087	−	8.07402i	0.0576840	−	0.401201i
$406$	11.6503	+	7.48722i	0.578197	+	0.371585i
$407$	14.4281	+	31.5932i	0.715176	+	1.56602i
$408$	0.450940	−	0.987420i	0.0223248	−	0.0488846i
$409$	−33.0841	−	9.71437i	−1.63590	−	0.480344i	−0.670674	−	0.741752i	$-0.733995\pi$
$409$	−33.0841	−	9.71437i	−1.63590	−	0.480344i	−0.965229	+	0.261407i	$0.915813\pi$
$410$	0.537484	+	0.620289i	0.0265444	+	0.0306339i
$411$	1.30927	+	0.384435i	0.0645813	+	0.0189628i
$412$	0.610311	+	4.24481i	0.0300679	+	0.209127i
$413$	17.9280	+	39.2569i	0.882181	+	1.93171i
$414$	−10.0342	+	11.5801i	−0.493156	+	0.569132i
$415$	−3.41904	+	3.94578i	−0.167834	+	0.193691i
$416$	2.69523	+	1.73212i	0.132144	+	0.0849240i
$417$	4.84993	−	1.42407i	0.237502	−	0.0697370i
$418$	−10.1962	−	22.3265i	−0.498711	−	1.09202i
$419$	−26.5954	+	17.0918i	−1.29927	+	0.834989i	−0.993132	−	0.116998i	$-0.962673\pi$
$419$	−26.5954	+	17.0918i	−1.29927	+	0.834989i	−0.306136	+	0.951988i	$0.599036\pi$
$420$	−1.13392	−	0.728728i	−0.0553298	−	0.0355583i
$421$	−1.63268	+	0.479397i	−0.0795717	+	0.0233644i	−0.321276	−	0.946986i	$-0.604112\pi$
$421$	−1.63268	+	0.479397i	−0.0795717	+	0.0233644i	0.241704	+	0.970350i	$0.422294\pi$
$422$	−2.75723	+	19.1770i	−0.134220	+	0.933521i
$423$	−10.0727	+	22.0562i	−0.489754	+	1.07241i
$424$	−0.596644	−	4.14975i	−0.0289756	−	0.201530i
$425$	−0.502122	+	3.49233i	−0.0243565	+	0.169403i
$426$	−1.36469	+	0.877036i	−0.0661197	+	0.0424925i
$427$	1.59059	−	1.83564i	0.0769740	−	0.0888328i
$428$	−5.65572	+	3.63471i	−0.273379	+	0.175690i
$429$	1.35047	−	2.95712i	0.0652013	−	0.142771i
$430$	7.38810	+	8.52633i	0.356286	+	0.411176i
$431$	−21.0663			−1.01473			−0.507363	−	0.861732i	$-0.669380\pi$
$431$	−21.0663			−1.01473			−0.507363	+	0.861732i	$0.669380\pi$
$432$	−1.81686			−0.0874139
$433$	7.46766	+	8.61813i	0.358873	+	0.414161i	0.906262	−	0.422717i	$-0.138924\pi$
$433$	7.46766	+	8.61813i	0.358873	+	0.414161i	−0.547389	+	0.836878i	$0.684378\pi$
$434$	−4.87913	−	33.9351i	−0.234206	−	1.62894i
$435$	0.933151	−	0.273998i	0.0447412	−	0.0131372i
$436$	11.3047	−	3.31936i	0.541396	−	0.158968i
$437$	−5.58581	−	38.8501i	−0.267205	−	1.85845i
$438$	0.126353	+	0.145819i	0.00603738	+	0.00696751i
$439$	15.6260			0.745788			0.372894	−	0.927874i	$-0.378366\pi$
$439$	15.6260			0.745788			0.372894	+	0.927874i	$0.378366\pi$
$440$	−3.29804			−0.157228
$441$	23.1996	+	26.7738i	1.10474	+	1.27494i
$442$	4.69580	−	10.2824i	0.223356	−	0.489082i
$443$	−29.9837	+	19.2694i	−1.42457	+	0.915516i	−0.424622	+	0.905371i	$0.639593\pi$
$443$	−29.9837	+	19.2694i	−1.42457	+	0.915516i	−0.999949	+	0.0101454i	$0.996771\pi$
$444$	−2.12177	+	2.44865i	−0.100695	+	0.116208i
$445$	8.62537	−	5.54319i	0.408882	−	0.262772i
$446$	−0.416028	+	2.89354i	−0.0196995	+	0.137013i
$447$	−0.951222	−	6.61590i	−0.0449913	−	0.312921i
$448$	1.81996	−	3.98515i	0.0859849	−	0.188281i
$449$	0.876731	−	6.09780i	0.0413755	−	0.287773i	−0.958620	−	0.284690i	$-0.908109\pi$
$449$	0.876731	−	6.09780i	0.0413755	−	0.287773i	0.999995	−	0.00308334i	$-0.000981458\pi$
$450$	2.78766	−	0.818530i	0.131411	−	0.0385859i
$451$	2.27719	+	1.46346i	0.107229	+	0.0689118i
$452$	−5.91571	+	3.80180i	−0.278252	+	0.178822i
$453$	−1.27112	−	2.78337i	−0.0597225	−	0.130774i
$454$	−5.49041	+	1.61213i	−0.257678	+	0.0756610i
$455$	−11.8079	−	7.58851i	−0.553565	−	0.355755i
$456$	1.49942	−	1.73043i	0.0702170	−	0.0810347i
$457$	13.3949	−	15.4586i	0.626588	−	0.723121i	−0.350356	−	0.936616i	$-0.613940\pi$
$457$	13.3949	−	15.4586i	0.626588	−	0.723121i	0.976944	+	0.213496i	$0.0684850\pi$
$458$	−1.63149	−	3.57247i	−0.0762346	−	0.166930i
$459$	0.912287	+	6.34510i	0.0425819	+	0.296164i
$460$	−5.06034	−	1.48585i	−0.235940	−	0.0692781i
$461$	−1.26491	−	1.45979i	−0.0589129	−	0.0679891i	0.725528	−	0.688192i	$-0.241596\pi$
$461$	−1.26491	−	1.45979i	−0.0589129	−	0.0679891i	−0.784441	+	0.620203i	$0.787050\pi$
$462$	−4.26535	−	1.25242i	−0.198442	−	0.0582679i
$463$	−14.9596	+	32.7569i	−0.695230	+	1.52234i	0.150430	+	0.988621i	$0.451934\pi$
$463$	−14.9596	+	32.7569i	−0.695230	+	1.52234i	−0.845661	+	0.533721i	$0.820793\pi$
$464$	1.31315	+	2.87540i	0.0609615	+	0.133487i
$465$	−2.02543	−	1.30166i	−0.0939271	−	0.0603633i
$466$	−0.924755	+	6.43181i	−0.0428384	+	0.297948i
$467$	−31.9426	−	9.37918i	−1.47813	−	0.434017i	−0.559395	−	0.828901i	$-0.688966\pi$
$467$	−31.9426	−	9.37918i	−1.47813	−	0.434017i	−0.918731	+	0.394884i	$0.870785\pi$
$468$	−9.30820			−0.430272
$469$	−31.3862	−	17.3460i	−1.44928	−	0.800962i
$470$	−8.34581			−0.384963
$471$	−5.42479	−	1.59286i	−0.249961	−	0.0733952i
$472$	−1.40191	+	9.75053i	−0.0645283	+	0.448804i
$473$	31.3017	+	20.1164i	1.43925	+	0.924951i
$474$	−0.371000	−	0.812377i	−0.0170406	−	0.0373137i
$475$	−3.09158	+	6.76961i	−0.141851	+	0.310611i
$476$	−14.8313	−	4.35487i	−0.679792	−	0.199605i
$477$	7.97648	+	9.20535i	0.365218	+	0.421484i
$478$	−0.760795	−	0.223389i	−0.0347979	−	0.0102176i
$479$	1.21463	+	8.44792i	0.0554978	+	0.385995i	0.998572	+	0.0534144i	$0.0170104\pi$
$479$	1.21463	+	8.44792i	0.0554978	+	0.385995i	−0.943075	+	0.332581i	$0.892080\pi$
$480$	−0.127808	−	0.279862i	−0.00583363	−	0.0127739i
$481$	−22.0948	+	25.4987i	−1.00743	+	1.16264i
$482$	−4.07098	+	4.69816i	−0.185428	+	0.213995i
$483$	−5.98028	−	3.84329i	−0.272112	−	0.174876i
$484$	0.117924	−	0.0346257i	0.00536019	−	0.00157389i
$485$	−0.871897	−	1.90919i	−0.0395908	−	0.0866918i
$486$	6.69657	−	4.30362i	0.303763	−	0.195216i
$487$	−2.32790	−	1.49605i	−0.105487	−	0.0677925i	0.486834	−	0.873495i	$-0.338152\pi$
$487$	−2.32790	−	1.49605i	−0.105487	−	0.0677925i	−0.592321	+	0.805702i	$0.701788\pi$
$488$	0.531951	−	0.156195i	0.0240803	−	0.00707062i
$489$	0.678636	−	4.72002i	0.0306890	−	0.213447i
$490$	−5.06544	+	11.0918i	−0.228833	+	0.501075i
$491$	−5.71450	−	39.7452i	−0.257892	−	1.79368i	−0.547788	−	0.836617i	$-0.684530\pi$
$491$	−5.71450	−	39.7452i	−0.257892	−	1.79368i	0.289896	−	0.957058i	$-0.406379\pi$
$492$	−0.0359372	+	0.249949i	−0.00162017	+	0.0112686i
$493$	9.38250	−	6.02976i	0.422566	−	0.271567i
$494$	15.6140	−	18.0196i	0.702509	−	0.810739i
$495$	8.06085	−	5.18039i	0.362308	−	0.232841i
$496$	3.25084	−	7.11834i	0.145967	−	0.319623i
$497$	15.1272	+	17.4577i	0.678549	+	0.783087i
$498$	−1.60632			−0.0719811
$499$	5.44506			0.243755			0.121877	−	0.992545i	$-0.461109\pi$
$499$	5.44506			0.243755			0.121877	+	0.992545i	$0.461109\pi$
$500$	0.654861	+	0.755750i	0.0292863	+	0.0337981i
$501$	−0.372464	−	2.59055i	−0.0166405	−	0.115737i
$502$	10.2358	−	3.00549i	0.456844	−	0.134142i
$503$	33.5033	−	9.83745i	1.49384	−	0.438630i	0.570074	−	0.821593i	$-0.306914\pi$
$503$	33.5033	−	9.83745i	1.49384	−	0.438630i	0.923764	+	0.382963i	$0.125096\pi$
$504$	1.81145	+	12.5989i	0.0806884	+	0.561200i
$505$	−2.59608	−	2.99604i	−0.115524	−	0.133322i
$506$	−17.3938			−0.773248
$507$	−0.841622			−0.0373778
$508$	7.97063	+	9.19860i	0.353640	+	0.408122i
$509$	6.05030	−	13.2483i	0.268175	−	0.587221i	−0.726856	−	0.686790i	$-0.759019\pi$
$509$	6.05030	−	13.2483i	0.268175	−	0.587221i	0.995031	+	0.0995694i	$0.0317465\pi$
$510$	−0.913194	+	0.586874i	−0.0404369	+	0.0259872i
$511$	1.79923	−	2.07642i	0.0795933	−	0.0918556i
$512$	0.841254	−	0.540641i	0.0371785	−	0.0238932i
$513$	−1.92429	+	13.3837i	−0.0849595	+	0.590907i
$514$	1.18537	+	8.24442i	0.0522844	+	0.363646i
$515$	1.78149	−	3.90092i	0.0785019	−	0.171895i
$516$	−0.493983	+	3.43572i	−0.0217464	+	0.151249i
$517$	−26.4099	+	7.75465i	−1.16151	+	0.341049i
$518$	38.8130	+	24.9436i	1.70535	+	1.09596i
$519$	2.60308	−	1.67290i	0.114263	−	0.0734322i
$520$	−1.33092	−	2.91430i	−0.0583645	−	0.127801i
$521$	−26.3085	+	7.72489i	−1.15260	+	0.338433i	−0.801552	−	0.597925i	$-0.795992\pi$
$521$	−26.3085	+	7.72489i	−1.15260	+	0.338433i	−0.351046	+	0.936358i	$0.614174\pi$
$522$	−7.72604	−	4.96522i	−0.338160	−	0.217322i
$523$	23.6179	−	27.2565i	1.03274	−	1.19184i	0.0515718	−	0.998669i	$-0.483577\pi$
$523$	23.6179	−	27.2565i	1.03274	−	1.19184i	0.981165	−	0.193172i	$-0.0618777\pi$
$524$	−11.0739	+	12.7800i	−0.483765	+	0.558295i
$525$	0.559936	+	1.22609i	0.0244376	+	0.0535109i
$526$	4.14114	+	28.8023i	0.180562	+	1.25584i
$527$	−26.4919	−	7.77873i	−1.15401	−	0.338847i
$528$	−0.664482	−	0.766853i	−0.0289178	−	0.0333730i
$529$	−4.61974	−	1.35648i	−0.200858	−	0.0589773i
$530$	−1.74160	+	3.81356i	−0.0756501	+	0.165651i
$531$	−11.8891	−	26.0336i	−0.515945	−	1.12976i
$532$	−27.4286	−	17.6273i	−1.18918	−	0.764241i
$533$	−0.374227	+	2.60281i	−0.0162096	+	0.112740i
$534$	3.02671	+	0.888721i	0.130978	+	0.0384587i
$535$	6.72297			0.290659
$536$	−3.88623	−	7.20397i	−0.167860	−	0.311164i
$537$	−4.35961			−0.188131
$538$	−14.6453	−	4.30025i	−0.631404	−	0.185397i
$539$	−5.72323	+	39.8060i	−0.246517	+	1.71456i
$540$	1.52844	+	0.982271i	0.0657737	+	0.0422702i
$541$	−0.0700605	−	0.153411i	−0.00301214	−	0.00659566i	0.908120	−	0.418710i	$-0.137518\pi$
$541$	−0.0700605	−	0.153411i	−0.00301214	−	0.00659566i	−0.911132	+	0.412114i	$0.864790\pi$
$542$	10.4554	−	22.8941i	0.449098	−	0.983388i
$543$	6.39676	+	1.87826i	0.274511	+	0.0806037i
$544$	−2.31051	−	2.66647i	−0.0990623	−	0.114324i
$545$	−11.3047	−	3.31936i	−0.484240	−	0.142186i
$546$	−0.614576	−	4.27447i	−0.0263014	−	0.182930i
$547$	−2.09178	−	4.58037i	−0.0894382	−	0.195842i	0.859627	−	0.510922i	$-0.170696\pi$
$547$	−2.09178	−	4.58037i	−0.0894382	−	0.195842i	−0.949065	+	0.315080i	$0.897969\pi$
$548$	2.90441	−	3.35186i	0.124070	−	0.143184i
$549$	−1.05482	+	1.21732i	−0.0450184	+	0.0519540i
$550$	2.77449	+	1.78306i	0.118305	+	0.0760298i
$551$	22.5721	−	6.62778i	0.961605	−	0.282353i
$552$	−0.674058	−	1.47598i	−0.0286898	−	0.0628220i
$553$	−10.6984	+	6.87547i	−0.454944	+	0.292375i
$554$	−8.56357	−	5.50347i	−0.363831	−	0.233820i
$555$	3.10879	−	0.912822i	0.131961	−	0.0387471i
$556$	2.33812	−	16.2620i	0.0991584	−	0.689662i
$557$	1.16782	−	2.55718i	0.0494823	−	0.108351i	−0.883276	−	0.468853i	$-0.844667\pi$
$557$	1.16782	−	2.55718i	0.0494823	−	0.108351i	0.932758	+	0.360502i	$0.117395\pi$
$558$	3.23564	+	22.5044i	0.136976	+	0.952686i
$559$	−5.14402	+	35.7775i	−0.217569	+	1.51322i
$560$	−3.68558	+	2.36858i	−0.155744	+	0.100091i
$561$	−2.34445	+	2.70564i	−0.0989829	+	0.114232i
$562$	−25.4331	+	16.3448i	−1.07283	+	0.689466i
$563$	−15.3862	+	33.6911i	−0.648452	+	1.41991i	0.244451	+	0.969662i	$0.421392\pi$
$563$	−15.3862	+	33.6911i	−0.648452	+	1.41991i	−0.892903	+	0.450249i	$0.851335\pi$
$564$	−1.68149	−	1.94055i	−0.0708036	−	0.0817117i
$565$	7.03202			0.295839
$566$	4.58853			0.192870
$567$	−23.4024	−	27.0078i	−0.982809	−	1.13422i
$568$	0.750380	+	5.21901i	0.0314853	+	0.218985i
$569$	12.1933	−	3.58027i	0.511170	−	0.150093i	−0.0159687	−	0.999872i	$-0.505083\pi$
$569$	12.1933	−	3.58027i	0.511170	−	0.150093i	0.527138	+	0.849780i	$0.323265\pi$
$570$	−2.19694	+	0.645078i	−0.0920195	+	0.0270194i
$571$	−3.02658	−	21.0504i	−0.126659	−	0.880930i	−0.949747	−	0.313017i	$-0.898660\pi$
$571$	−3.02658	−	21.0504i	−0.126659	−	0.880930i	0.823089	−	0.567913i	$-0.192249\pi$
$572$	−6.91949	−	7.98551i	−0.289318	−	0.333891i
$573$	4.24792			0.177459
$574$	3.59580			0.150086
$575$	3.45372	+	3.98580i	0.144030	+	0.166219i
$576$	−1.20692	+	2.64279i	−0.0502885	+	0.110116i
$577$	−15.9474	+	10.2488i	−0.663898	+	0.426661i	−0.828721	−	0.559662i	$-0.810931\pi$
$577$	−15.9474	+	10.2488i	−0.663898	+	0.426661i	0.164823	+	0.986323i	$0.447295\pi$
$578$	2.98059	−	3.43978i	0.123976	−	0.143076i
$579$	2.61638	−	1.68144i	0.108733	−	0.0698784i
$580$	0.449866	−	3.12888i	0.0186797	−	0.129920i
$581$	3.25525	+	22.6408i	0.135051	+	0.939298i
$582$	0.268252	−	0.587390i	0.0111194	−	0.0243481i
$583$	−1.96776	+	13.6861i	−0.0814962	+	0.566819i
$584$	0.601729	−	0.176684i	0.0248997	−	0.00731122i
$585$	7.83056	+	5.03239i	0.323754	+	0.208064i
$586$	23.3705	−	15.0193i	0.965425	−	0.620441i
$587$	1.56395	+	3.42457i	0.0645510	+	0.141347i	0.939158	−	0.343486i	$-0.111608\pi$
$587$	1.56395	+	3.42457i	0.0645510	+	0.141347i	−0.874607	+	0.484833i	$0.838880\pi$
$588$	−3.59960	+	1.05694i	−0.148445	+	0.0435874i
$589$	−48.9934	−	31.4862i	−2.01874	−	1.29736i
$590$	6.45090	−	7.44473i	0.265579	−	0.306495i
$591$	0.896787	−	1.03495i	0.0368889	−	0.0425721i
$592$	4.37476	+	9.57938i	0.179801	+	0.393710i
$593$	−1.06660	−	7.41837i	−0.0438000	−	0.304636i	−0.999932	−	0.0116983i	$-0.996276\pi$
$593$	−1.06660	−	7.41837i	−0.0438000	−	0.304636i	0.956132	−	0.292938i	$-0.0946329\pi$
$594$	5.74938	+	1.68817i	0.235900	+	0.0692664i
$595$	10.1225	+	11.6820i	0.414981	+	0.478914i
$596$	−20.8447	−	6.12056i	−0.853833	−	0.250708i
$597$	−3.13287	+	6.86004i	−0.128220	+	0.280763i
$598$	−7.01921	−	15.3699i	−0.287037	−	0.628523i
$599$	38.4230	+	24.6930i	1.56992	+	1.00893i	0.979406	+	0.201902i	$0.0647122\pi$
$599$	38.4230	+	24.6930i	1.56992	+	1.00893i	0.590516	+	0.807026i	$0.298924\pi$
$600$	−0.0437852	+	0.304533i	−0.00178752	+	0.0124325i
$601$	−28.4942	−	8.36664i	−1.16230	−	0.341282i	−0.356975	−	0.934114i	$-0.616192\pi$
$601$	−28.4942	−	8.36664i	−1.16230	−	0.341282i	−0.805326	+	0.592832i	$0.798010\pi$
$602$	49.4269			2.01449
$603$	20.8141	+	11.5031i	0.847615	+	0.468444i
$604$	−9.94552			−0.404677
$605$	−0.117924	−	0.0346257i	−0.00479430	−	0.00140773i
$606$	0.173579	−	1.20727i	0.00705116	−	0.0490419i
$607$	28.8555	+	18.5443i	1.17121	+	0.752691i	0.973750	−	0.227620i	$-0.0730945\pi$
$607$	28.8555	+	18.5443i	1.17121	+	0.752691i	0.197460	+	0.980311i	$0.436731\pi$
$608$	−3.09158	−	6.76961i	−0.125380	−	0.274544i
$609$	1.76999	−	3.87574i	0.0717237	−	0.157053i
$610$	−0.531951	−	0.156195i	−0.0215381	−	0.00632415i
$611$	−17.5100	−	20.2076i	−0.708378	−	0.817512i
$612$	9.83553	+	2.88797i	0.397578	+	0.116739i
$613$	−3.32760	−	23.1440i	−0.134400	−	0.934776i	−0.939723	−	0.341938i	$-0.888917\pi$
$613$	−3.32760	−	23.1440i	−0.134400	−	0.934776i	0.805322	−	0.592838i	$-0.201992\pi$
$614$	11.0022	+	24.0915i	0.444014	+	0.972255i
$615$	0.165365	−	0.190841i	0.00666815	−	0.00769546i
$616$	−9.46203	+	10.9198i	−0.381236	+	0.439970i
$617$	−8.58825	−	5.51933i	−0.345750	−	0.222200i	0.356227	−	0.934399i	$-0.384063\pi$
$617$	−8.58825	−	5.51933i	−0.345750	−	0.222200i	−0.701977	+	0.712199i	$0.747699\pi$
$618$	1.26596	−	0.371720i	0.0509245	−	0.0149528i
$619$	−1.33110	−	2.91471i	−0.0535016	−	0.117152i	0.880993	−	0.473129i	$-0.156876\pi$
$619$	−1.33110	−	2.91471i	−0.0535016	−	0.117152i	−0.934495	+	0.355977i	$0.884148\pi$
$620$	−6.58324	+	4.23079i	−0.264389	+	0.169913i
$621$	8.06097	+	5.18047i	0.323476	+	0.207885i
$622$	6.57246	−	1.92985i	0.263532	−	0.0773799i
$623$	6.39264	−	44.4618i	0.256116	−	1.78132i
$624$	0.409476	−	0.896627i	0.0163921	−	0.0358938i
$625$	−0.142315	−	0.989821i	−0.00569259	−	0.0395929i
$626$	−1.37789	+	9.58343i	−0.0550715	+	0.383031i
$627$	−6.35271	+	4.08264i	−0.253703	+	0.163045i
$628$	−12.0341	+	13.8881i	−0.480212	+	0.554194i
$629$	31.2577	−	20.0881i	1.24633	−	0.800966i
$630$	5.28760	−	11.5782i	0.210663	−	0.461288i
$631$	17.1433	+	19.7844i	0.682463	+	0.787605i	0.986272	−	0.165128i	$-0.0528038\pi$
$631$	17.1433	+	19.7844i	0.682463	+	0.787605i	−0.303809	+	0.952733i	$0.598258\pi$
$632$	−2.90278			−0.115466
$633$	5.96075			0.236918
$634$	−18.4276	−	21.2665i	−0.731852	−	0.844602i
$635$	−1.73218	−	12.0476i	−0.0687396	−	0.478094i
$636$	−1.23761	+	0.363396i	−0.0490745	+	0.0144096i
$637$	−37.4839	+	11.0063i	−1.48517	+	0.436084i
$638$	−1.48368	−	10.3192i	−0.0587393	−	0.408541i
$639$	−10.0318	−	11.5773i	−0.396851	−	0.457990i
$640$	−1.00000			−0.0395285
$641$	−4.55826			−0.180040			−0.0900201	−	0.995940i	$-0.528693\pi$
$641$	−4.55826			−0.180040			−0.0900201	+	0.995940i	$0.528693\pi$
$642$	1.35453	+	1.56321i	0.0534589	+	0.0616948i
$643$	−15.7269	+	34.4370i	−0.620207	+	1.35806i	0.295162	+	0.955447i	$0.404626\pi$
$643$	−15.7269	+	34.4370i	−0.620207	+	1.35806i	−0.915369	+	0.402616i	$0.868101\pi$
$644$	−19.4377	+	12.4918i	−0.765951	+	0.492247i
$645$	2.27306	−	2.62325i	0.0895016	−	0.103290i
$646$	−22.0894	+	14.1960i	−0.869095	+	0.558534i
$647$	−0.479210	+	3.33298i	−0.0188397	+	0.131033i	−0.997071	−	0.0764862i	$-0.975630\pi$
$647$	−0.479210	+	3.33298i	−0.0188397	+	0.131033i	0.978231	+	0.207519i	$0.0665390\pi$
$648$	−1.16087	−	8.07402i	−0.0456032	−	0.317177i
$649$	13.4962	−	29.5524i	0.529770	−	1.16004i
$650$	−0.455952	+	3.17121i	−0.0178839	+	0.124385i
$651$	−10.1207	+	2.97171i	−0.396662	+	0.116471i
$652$	−13.0388	−	8.37950i	−0.510637	−	0.328167i
$653$	−21.9932	+	14.1342i	−0.860660	+	0.553113i	−0.894883	−	0.446301i	$-0.852741\pi$
$653$	−21.9932	+	14.1342i	−0.860660	+	0.553113i	0.0342224	+	0.999414i	$0.489105\pi$
$654$	−1.50583	−	3.29731i	−0.0588827	−	0.128935i
$655$	16.2253	−	4.76418i	0.633975	−	0.186152i
$656$	0.690468	+	0.443737i	0.0269582	+	0.0173250i
$657$	−1.19318	+	1.37700i	−0.0465503	+	0.0537219i
$658$	−23.9440	+	27.6328i	−0.933434	+	1.07724i
$659$	18.5833	+	40.6918i	0.723903	+	1.58513i	0.808352	+	0.588699i	$0.200360\pi$
$659$	18.5833	+	40.6918i	0.723903	+	1.58513i	−0.0844491	+	0.996428i	$0.526913\pi$
$660$	0.144406	+	1.00436i	0.00562098	+	0.0390948i
$661$	−7.81646	−	2.29512i	−0.304025	−	0.0892698i	0.126162	−	0.992010i	$-0.459734\pi$
$661$	−7.81646	−	2.29512i	−0.304025	−	0.0892698i	−0.430187	+	0.902740i	$0.641552\pi$
$662$	−4.52966	−	5.22751i	−0.176050	−	0.203173i
$663$	−3.33693	−	0.979810i	−0.129595	−	0.0380527i
$664$	−2.16889	+	4.74921i	−0.0841693	+	0.184305i
$665$	13.5444	+	29.6581i	0.525229	+	1.15009i
$666$	−25.7393	−	16.5416i	−0.997376	−	0.640974i
$667$	2.37258	−	16.5017i	0.0918666	−	0.638946i
$668$	−8.16204	−	2.39659i	−0.315799	−	0.0927269i
$669$	0.899394			0.0347726
$670$	−0.625453	+	8.16142i	−0.0241633	+	0.315303i
$671$	−1.82846			−0.0705871
$672$	−1.29330	−	0.379746i	−0.0498900	−	0.0146490i
$673$	−5.09499	+	35.4364i	−0.196397	+	1.36597i	0.618234	+	0.785994i	$0.287848\pi$
$673$	−5.09499	+	35.4364i	−0.196397	+	1.36597i	−0.814631	+	0.579979i	$0.803061\pi$
$674$	5.11015	+	3.28410i	0.196836	+	0.126499i
$675$	−0.754753	−	1.65268i	−0.0290505	−	0.0636116i
$676$	−1.13638	+	2.48832i	−0.0437068	+	0.0957044i
$677$	−0.679488	−	0.199516i	−0.0261148	−	0.00766801i	0.268649	−	0.963238i	$-0.413423\pi$
$677$	−0.679488	−	0.199516i	−0.0261148	−	0.00766801i	−0.294764	+	0.955570i	$0.595241\pi$
$678$	1.41679	+	1.63507i	0.0544116	+	0.0627944i
$679$	−8.82275	−	2.59059i	−0.338586	−	0.0994178i
$680$	0.502122	+	3.49233i	0.0192555	+	0.133925i
$681$	0.731346	+	1.60142i	0.0280252	+	0.0613667i
$682$	−16.9012	+	19.5051i	−0.647182	+	0.746887i
$683$	1.00755	−	1.16278i	0.0385529	−	0.0444924i	−0.736146	−	0.676823i	$-0.763356\pi$
$683$	1.00755	−	1.16278i	0.0385529	−	0.0444924i	0.774699	+	0.632331i	$0.217902\pi$
$684$	18.1896	+	11.6897i	0.695495	+	0.446968i
$685$	−4.25550	+	1.24953i	−0.162594	+	0.0477419i
$686$	9.45227	+	20.6976i	0.360889	+	0.790238i
$687$	−1.01650	+	0.653264i	−0.0387819	+	0.0249236i
$688$	9.49098	+	6.09948i	0.361840	+	0.232541i
$689$	−12.8877	+	3.78417i	−0.490982	+	0.144165i
$690$	−0.230922	+	1.60610i	−0.00879105	+	0.0611431i
$691$	−11.7102	+	25.6417i	−0.445477	+	0.975458i	0.545084	+	0.838382i	$0.316498\pi$
$691$	−11.7102	+	25.6417i	−0.445477	+	0.975458i	−0.990560	+	0.137076i	$0.956229\pi$
$692$	−1.43131	−	9.95498i	−0.0544103	−	0.378432i
$693$	5.97425	−	41.5518i	0.226943	−	1.57842i
$694$	−15.3750	+	9.88090i	−0.583626	+	0.375074i
$695$	−10.7588	+	12.4164i	−0.408106	+	0.470980i
$696$	0.818158	−	0.525798i	0.0310122	−	0.0199303i
$697$	1.20298	−	2.63415i	0.0455660	−	0.0997757i
$698$	2.52259	+	2.91122i	0.0954813	+	0.110191i
$699$	1.99919			0.0756163
$700$	4.38106			0.165588
$701$	−11.4521	−	13.2164i	−0.432540	−	0.499177i	0.497076	−	0.867707i	$-0.334407\pi$
$701$	−11.4521	−	13.2164i	−0.432540	−	0.499177i	−0.929616	+	0.368529i	$0.879861\pi$
$702$	0.828402	+	5.76166i	0.0312660	+	0.217460i
$703$	75.1989	−	22.0804i	2.83618	−	0.832778i
$704$	−3.16445	+	0.929167i	−0.119265	+	0.0350193i
$705$	0.365423	+	2.54157i	0.0137626	+	0.0957212i
$706$	−22.2234	−	25.6472i	−0.836389	−	0.965244i
$707$	−17.3679			−0.653189
$708$	3.03074			0.113902
$709$	−22.1964	−	25.6160i	−0.833604	−	0.962030i	0.166106	−	0.986108i	$-0.446880\pi$
$709$	−22.1964	−	25.6160i	−0.833604	−	0.962030i	−0.999710	+	0.0240779i	$0.992335\pi$
$710$	2.19035	−	4.79620i	0.0822023	−	0.179998i
$711$	7.09477	−	4.55953i	0.266075	−	0.170996i
$712$	6.71429	−	7.74870i	0.251629	−	0.290395i
$713$	−34.7198	+	22.3131i	−1.30027	+	0.835631i
$714$	−0.676808	+	4.70730i	−0.0253289	+	0.176166i
$715$	1.50375	+	10.4588i	0.0562370	+	0.391137i
$716$	−5.88643	+	12.8895i	−0.219986	+	0.481703i
$717$	−0.0347179	+	0.241468i	−0.00129656	+	0.00901780i
$718$	−4.43752	+	1.30297i	−0.165607	+	0.0486266i
$719$	23.8089	+	15.3010i	0.887921	+	0.570632i	0.903185	−	0.429252i	$-0.141223\pi$
$719$	23.8089	+	15.3010i	0.887921	+	0.570632i	−0.0152643	+	0.999883i	$0.504859\pi$
$720$	2.44413	−	1.57075i	0.0910873	−	0.0585383i
$721$	−7.80482	−	17.0902i	−0.290667	−	0.636471i
$722$	−34.9116	+	10.2510i	−1.29928	+	0.381502i
$723$	1.60899	+	1.03404i	0.0598391	+	0.0384562i
$724$	14.1902	−	16.3764i	0.527376	−	0.608624i
$725$	−2.07005	+	2.38897i	−0.0768799	+	0.0887241i
$726$	−0.0157080	−	0.0343957i	−0.000582978	−	0.00127654i
$727$	−1.56604	−	10.8921i	−0.0580814	−	0.403965i	−0.998035	−	0.0626621i	$-0.980041\pi$
$727$	−1.56604	−	10.8921i	−0.0580814	−	0.403965i	0.939953	−	0.341303i	$-0.110868\pi$
$728$	−13.4676	−	3.95444i	−0.499142	−	0.146561i
$729$	14.4214	+	16.6432i	0.534125	+	0.616413i
$730$	−0.601729	−	0.176684i	−0.0222710	−	0.00653935i
$731$	16.5358	−	36.2083i	0.611598	−	1.33921i
$732$	−0.0708581	−	0.155158i	−0.00261899	−	0.00573479i
$733$	−13.7417	−	8.83126i	−0.507561	−	0.326190i	0.261673	−	0.965157i	$-0.415726\pi$
$733$	−13.7417	−	8.83126i	−0.507561	−	0.326190i	−0.769234	+	0.638967i	$0.779362\pi$
$734$	1.81207	−	12.6032i	0.0668848	−	0.465194i
$735$	3.59960	+	1.05694i	0.132773	+	0.0389857i
$736$	−5.27397			−0.194401
$737$	5.60411	+	26.4076i	0.206430	+	0.972735i
$738$	−2.38459			−0.0877780
$739$	16.4137	+	4.81950i	0.603788	+	0.177288i	0.569318	−	0.822118i	$-0.307207\pi$
$739$	16.4137	+	4.81950i	0.603788	+	0.177288i	0.0344701	+	0.999406i	$0.489026\pi$
$740$	1.49872	−	10.4239i	0.0550942	−	0.383189i
$741$	−6.17122	−	3.96600i	−0.226705	−	0.145695i
$742$	7.63003	+	16.7074i	0.280107	+	0.613350i
$743$	14.4301	−	31.5975i	0.529390	−	1.15920i	−0.436371	−	0.899767i	$-0.643736\pi$
$743$	14.4301	−	31.5975i	0.529390	−	1.15920i	0.965761	−	0.259435i	$-0.0835363\pi$
$744$	−2.31011	−	0.678309i	−0.0846926	−	0.0248680i
$745$	14.2267	+	16.4185i	0.521225	+	0.601526i
$746$	−27.5671	−	8.09443i	−1.00930	−	0.296358i
$747$	−2.15875	−	15.0145i	−0.0789846	−	0.549350i
$748$	4.83390	+	10.5848i	0.176745	+	0.387017i
$749$	19.2881	−	22.2596i	0.704771	−	0.813349i
$750$	0.201477	−	0.232517i	0.00735692	−	0.00849033i
$751$	−15.0269	−	9.65720i	−0.548339	−	0.352396i	0.236953	−	0.971521i	$-0.423851\pi$
$751$	−15.0269	−	9.65720i	−0.548339	−	0.352396i	−0.785293	+	0.619125i	$0.787488\pi$
$752$	−8.00774	+	2.35129i	−0.292012	+	0.0857426i
$753$	−1.36345	−	2.98553i	−0.0496867	−	0.108799i
$754$	8.51978	−	5.47533i	0.310272	−	0.199400i
$755$	8.36670	+	5.37695i	0.304495	+	0.195687i
$756$	7.63736	−	2.24253i	0.277768	−	0.0815601i
$757$	−3.06255	+	21.3005i	−0.111310	+	0.774181i	0.855337	+	0.518071i	$0.173350\pi$
$757$	−3.06255	+	21.3005i	−0.111310	+	0.774181i	−0.966648	+	0.256109i	$0.917559\pi$
$758$	−2.02260	+	4.42888i	−0.0734642	+	0.160864i
$759$	0.761591	+	5.29698i	0.0276440	+	0.192268i
$760$	−1.05913	+	7.36639i	−0.0384186	+	0.267207i
$761$	−17.2876	+	11.1101i	−0.626675	+	0.402740i	−0.815077	−	0.579352i	$-0.803306\pi$
$761$	−17.2876	+	11.1101i	−0.626675	+	0.402740i	0.188402	+	0.982092i	$0.439669\pi$
$762$	2.45228	−	2.83008i	0.0888368	−	0.102523i
$763$	−43.4233	+	27.9064i	−1.57203	+	1.01028i
$764$	5.73563	−	12.5593i	0.207508	−	0.454379i
$765$	−6.71282	−	7.74701i	−0.242703	−	0.280094i
$766$	−12.4559			−0.450051
$767$	31.5602			1.13957
$768$	−0.201477	−	0.232517i	−0.00727019	−	0.00839025i
$769$	3.20326	+	22.2791i	0.115512	+	0.803407i	0.962400	+	0.271635i	$0.0875644\pi$
$769$	3.20326	+	22.2791i	0.115512	+	0.803407i	−0.846888	+	0.531771i	$0.821527\pi$
$770$	13.8636	−	4.07073i	0.499611	−	0.146699i
$771$	2.45880	−	0.721968i	0.0885514	−	0.0260010i
$772$	−1.43862	−	10.0058i	−0.0517770	−	0.360117i
$773$	−31.8197	−	36.7219i	−1.14447	−	1.32079i	−0.939706	−	0.341984i	$-0.888901\pi$
$773$	−31.8197	−	36.7219i	−1.14447	−	1.32079i	−0.204769	−	0.978810i	$-0.565644\pi$
$774$	−32.7779			−1.17818
$775$	7.82551			0.281101
$776$	−1.37446	−	1.58621i	−0.0493402	−	0.0569417i
$777$	5.89672	−	12.9120i	0.211544	−	0.463216i
$778$	19.5299	−	12.5511i	0.700182	−	0.449980i
$779$	4.00003	−	4.61628i	0.143316	−	0.165396i
$780$	−0.829226	+	0.532911i	−0.0296911	+	0.0190813i
$781$	2.47479	−	17.2125i	0.0885548	−	0.615912i
$782$	2.64818	+	18.4185i	0.0946986	+	0.658643i
$783$	−2.38582	+	5.22422i	−0.0852622	+	0.186698i
$784$	−1.73534	+	12.0696i	−0.0619765	+	0.431056i
$785$	17.6322	−	5.17727i	0.629319	−	0.184785i
$786$	4.37679	+	2.81279i	0.156115	+	0.100329i
$787$	45.0846	−	28.9741i	1.60709	−	1.03282i	0.643499	−	0.765447i	$-0.277482\pi$
$787$	45.0846	−	28.9741i	1.60709	−	1.03282i	0.963594	−	0.267369i	$-0.0861543\pi$
$788$	−1.84904	−	4.04882i	−0.0658691	−	0.144233i
$789$	8.58993	−	2.52223i	0.305810	−	0.0897938i
$790$	2.44197	+	1.56936i	0.0868815	+	0.0558354i
$791$	20.1748	−	23.2829i	0.717332	−	0.827845i
$792$	6.27484	−	7.24155i	0.222967	−	0.257317i
$793$	−0.737872	−	1.61571i	−0.0262026	−	0.0573757i
$794$	−0.176469	−	1.22737i	−0.00626264	−	0.0435576i
$795$	1.23761	+	0.363396i	0.0438936	+	0.0128883i
$796$	16.0521	+	18.5251i	0.568952	+	0.656606i
$797$	18.9794	+	5.57285i	0.672285	+	0.197401i	0.600020	−	0.799985i	$-0.295159\pi$
$797$	18.9794	+	5.57285i	0.672285	+	0.197401i	0.0722645	+	0.997386i	$0.476977\pi$
$798$	−4.16713	+	9.12474i	−0.147515	+	0.323012i
$799$	12.2323	+	26.7851i	0.432749	+	0.947588i
$800$	0.841254	+	0.540641i	0.0297428	+	0.0191145i
$801$	−4.23934	+	29.4853i	−0.149790	+	1.04181i
$802$	−9.23577	−	2.71187i	−0.326126	−	0.0957594i
$803$	−2.06831			−0.0729891
$804$	−2.02369	+	1.49891i	−0.0713699	+	0.0528626i
$805$	23.1056			0.814365
$806$	−24.0560	−	7.06348i	−0.847336	−	0.248800i
$807$	−0.668319	+	4.64826i	−0.0235260	+	0.163627i
$808$	−3.33500	−	2.14328i	−0.117325	−	0.0754002i
$809$	20.2773	+	44.4010i	0.712910	+	1.56106i	0.823581	+	0.567199i	$0.191973\pi$
$809$	20.2773	+	44.4010i	0.712910	+	1.56106i	−0.110670	+	0.993857i	$0.535300\pi$
$810$	−3.38856	+	7.41991i	−0.119062	+	0.260709i
$811$	−30.3929	−	8.92417i	−1.06724	−	0.313370i	−0.299477	−	0.954104i	$-0.596812\pi$
$811$	−30.3929	−	8.92417i	−1.06724	−	0.313370i	−0.767763	+	0.640734i	$0.778630\pi$
$812$	−9.06903	−	10.4662i	−0.318261	−	0.367292i
$813$	−7.42982	−	2.18159i	−0.260575	−	0.0765117i
$814$	−4.94286	−	34.3784i	−0.173247	−	1.20496i
$815$	6.43860	+	14.0986i	0.225534	+	0.493851i
$816$	−0.710862	+	0.820378i	−0.0248851	+	0.0287190i
$817$	54.9833	−	63.4541i	1.92362	−	2.21998i
$818$	29.0071	+	18.6417i	1.01421	+	0.651793i
$819$	39.1279	−	11.4890i	1.36724	−	0.401458i
$820$	−0.340956	−	0.746590i	−0.0119067	−	0.0260721i
$821$	−14.6727	+	9.42960i	−0.512082	+	0.329095i	−0.771033	−	0.636795i	$-0.780260\pi$
$821$	−14.6727	+	9.42960i	−0.512082	+	0.329095i	0.258951	+	0.965891i	$0.416623\pi$
$822$	−1.14792	−	0.737725i	−0.0400384	−	0.0257311i
$823$	22.6891	−	6.66212i	0.790892	−	0.232227i	0.138754	−	0.990327i	$-0.455690\pi$
$823$	22.6891	−	6.66212i	0.790892	−	0.232227i	0.652138	+	0.758100i	$0.273872\pi$
$824$	0.610311	−	4.24481i	0.0212612	−	0.147875i
$825$	0.421518	−	0.922996i	0.0146754	−	0.0321346i
$826$	−6.14187	−	42.7176i	−0.213703	−	1.48634i
$827$	−3.69734	+	25.7156i	−0.128569	+	0.894218i	0.818801	+	0.574077i	$0.194639\pi$
$827$	−3.69734	+	25.7156i	−0.128569	+	0.894218i	−0.947370	+	0.320140i	$0.896270\pi$
$828$	12.8903	−	8.28407i	0.447968	−	0.287891i
$829$	14.8592	−	17.1484i	0.516082	−	0.595590i	−0.436564	−	0.899673i	$-0.643805\pi$
$829$	14.8592	−	17.1484i	0.516082	−	0.595590i	0.952646	+	0.304083i	$0.0983501\pi$
$830$	4.39220	−	2.82270i	0.152456	−	0.0979773i
$831$	−1.30103	+	2.84886i	−0.0451322	+	0.0988258i
$832$	−2.09806	−	2.42129i	−0.0727371	−	0.0839431i
$833$	43.0223			1.49063
$834$	−5.05468			−0.175029
$835$	5.57065	+	6.42887i	0.192780	+	0.222480i
$836$	3.49305	+	24.2947i	0.120810	+	0.840249i
$837$	13.6420	−	4.00565i	0.471536	−	0.138455i
$838$	30.3334	−	8.90668i	1.04785	−	0.307676i
$839$	5.27361	+	36.6787i	0.182065	+	1.26629i	0.851870	+	0.523753i	$0.175469\pi$
$839$	5.27361	+	36.6787i	0.182065	+	1.26629i	−0.669805	+	0.742537i	$0.733622\pi$
$840$	0.882685	+	1.01867i	0.0304555	+	0.0351475i
$841$	−19.0077			−0.655438
$842$	1.70160			0.0586411
$843$	6.09114	+	7.02955i	0.209790	+	0.242111i
$844$	8.04832	−	17.6234i	0.277035	−	0.606621i
$845$	2.30126	−	1.47893i	0.0791659	−	0.0508768i
$846$	15.8787	−	18.3250i	0.545921	−	0.630026i
$847$	−0.452967	+	0.291104i	−0.0155641	+	0.0100025i
$848$	−0.596644	+	4.14975i	−0.0204888	+	0.142503i
$849$	−0.200910	−	1.39736i	−0.00689521	−	0.0479573i
$850$	1.46569	−	3.20941i	0.0502726	−	0.110082i
$851$	7.90423	−	54.9751i	0.270954	−	1.88452i
$852$	1.55650	−	0.457031i	0.0533250	−	0.0156576i
$853$	−36.5675	−	23.5005i	−1.25205	−	0.804642i	−0.264872	−	0.964284i	$-0.585330\pi$
$853$	−36.5675	−	23.5005i	−1.25205	−	0.804642i	−0.987175	+	0.159642i	$0.948966\pi$
$854$	−2.04332	+	1.31316i	−0.0699209	+	0.0449354i
$855$	−8.98209	−	19.6680i	−0.307181	−	0.672633i
$856$	6.45064	−	1.89408i	0.220478	−	0.0647383i
$857$	−36.1008	−	23.2005i	−1.23318	−	0.792515i	−0.248795	−	0.968556i	$-0.580035\pi$
$857$	−36.1008	−	23.2005i	−1.23318	−	0.792515i	−0.984383	+	0.176041i	$0.943671\pi$
$858$	−2.12888	+	2.45686i	−0.0726788	+	0.0838758i
$859$	24.0396	−	27.7432i	0.820221	−	0.946585i	−0.179085	−	0.983834i	$-0.557314\pi$
$859$	24.0396	−	27.7432i	0.820221	−	0.946585i	0.999306	+	0.0372482i	$0.0118592\pi$
$860$	−4.68669	−	10.2624i	−0.159815	−	0.349946i
$861$	−0.157443	−	1.09504i	−0.00536564	−	0.0373189i
$862$	20.2129	+	5.93505i	0.688455	+	0.202149i
$863$	−23.7866	−	27.4512i	−0.809706	−	0.934450i	0.189166	−	0.981945i	$-0.439422\pi$
$863$	−23.7866	−	27.4512i	−0.809706	−	0.934450i	−0.998871	+	0.0474950i	$0.984876\pi$
$864$	1.74327	+	0.511870i	0.0593072	+	0.0174142i
$865$	−4.17798	+	9.14849i	−0.142055	+	0.311058i
$866$	−4.73715	−	10.3729i	−0.160975	−	0.352486i
$867$	−1.17803	−	0.757076i	−0.0400081	−	0.0257116i
$868$	−4.87913	+	33.9351i	−0.165608	+	1.15183i
$869$	9.18570	+	2.69717i	0.311604	+	0.0914951i
$870$	−0.972546			−0.0329724
$871$	−21.0734	+	15.6087i	−0.714044	+	0.528882i
$872$	−11.7819			−0.398987
$873$	5.85089	+	1.71798i	0.198023	+	0.0581447i
$874$	−5.58581	+	38.8501i	−0.188943	+	1.31413i
$875$	−3.68558	−	2.36858i	−0.124595	−	0.0800726i
$876$	−0.0801528	−	0.175510i	−0.00270811	−	0.00592994i
$877$	−8.02309	+	17.5681i	−0.270921	+	0.593233i	−0.995372	−	0.0960920i	$-0.969366\pi$
$877$	−8.02309	+	17.5681i	−0.270921	+	0.593233i	0.724452	+	0.689325i	$0.242093\pi$
$878$	−14.9930	−	4.40235i	−0.505990	−	0.148572i
$879$	−5.59715	−	6.45945i	−0.188787	−	0.217872i
$880$	3.16445	+	0.929167i	0.106674	+	0.0313222i
$881$	−1.01950	−	7.09080i	−0.0343479	−	0.238895i	0.965414	−	0.260722i	$-0.0839607\pi$
$881$	−1.01950	−	7.09080i	−0.0343479	−	0.238895i	−0.999762	+	0.0218273i	$0.993052\pi$
$882$	−14.7168	−	32.2254i	−0.495541	−	1.08508i
$883$	−1.36176	+	1.57156i	−0.0458269	+	0.0528871i	−0.778200	−	0.628016i	$-0.783867\pi$
$883$	−1.36176	+	1.57156i	−0.0458269	+	0.0528871i	0.732373	+	0.680903i	$0.238413\pi$
$884$	−7.40246	+	8.54290i	−0.248972	+	0.287329i
$885$	−2.54962	−	1.63854i	−0.0857046	−	0.0550790i
$886$	34.1980	−	10.0414i	1.14890	−	0.337349i
$887$	2.80438	+	6.14073i	0.0941617	+	0.206185i	0.950852	−	0.309646i	$-0.100210\pi$
$887$	2.80438	+	6.14073i	0.0941617	+	0.206185i	−0.856690	+	0.515831i	$0.827483\pi$
$888$	2.72569	−	1.75169i	0.0914681	−	0.0587830i
$889$	−44.8590	−	28.8291i	−1.50452	−	0.966898i
$890$	−9.83768	+	2.88860i	−0.329760	+	0.0968262i
$891$	−3.82859	+	26.6285i	−0.128263	+	0.892087i
$892$	1.21438	−	2.65912i	0.0406605	−	0.0890340i
$893$	8.83927	+	61.4785i	0.295795	+	2.05730i
$894$	−0.951222	+	6.61590i	−0.0318136	+	0.221269i
$895$	11.9206	−	7.66088i	0.398460	−	0.256075i
$896$	−2.86898	+	3.31098i	−0.0958460	+	0.110612i
$897$	−4.37331	+	2.81056i	−0.146021	+	0.0938418i
$898$	−2.55917	+	5.60379i	−0.0854005	+	0.187001i
$899$	−16.1992	−	18.6949i	−0.540275	−	0.623510i
$900$	−2.90534			−0.0968448
$901$	14.7919			0.492790
$902$	−1.77265	−	2.04574i	−0.0590226	−	0.0681158i
$903$	−2.16417	−	15.0521i	−0.0720190	−	0.500903i
$904$	6.74717	−	1.98115i	0.224408	−	0.0658920i
$905$	−20.7913	+	6.10489i	−0.691127	+	0.202933i
$906$	0.435467	+	3.02874i	0.0144674	+	0.100623i
$907$	15.4011	+	17.7738i	0.511385	+	0.590169i	0.951453	−	0.307795i	$-0.0995912\pi$
$907$	15.4011	+	17.7738i	0.511385	+	0.590169i	−0.440068	+	0.897964i	$0.645046\pi$
$908$	5.72220			0.189898
$909$	11.5177			0.382019
$910$	9.19171	+	10.6078i	0.304702	+	0.351645i
$911$	−10.9932	+	24.0717i	−0.364221	+	0.797532i	0.635457	+	0.772136i	$0.280812\pi$
$911$	−10.9932	+	24.0717i	−0.364221	+	0.797532i	−0.999677	+	0.0253957i	$0.991915\pi$
$912$	−1.92620	+	1.23790i	−0.0637830	+	0.0409908i
$913$	11.2762	−	13.0134i	0.373186	−	0.430680i
$914$	−17.2075	+	11.0586i	−0.569174	+	0.365786i
$915$	−0.0242749	+	0.168836i	−0.000802504	+	0.00558154i
$916$	0.558924	+	3.88740i	0.0184674	+	0.128443i
$917$	30.7760	−	67.3901i	1.01631	−	2.22542i
$918$	0.912287	−	6.34510i	0.0301100	−	0.209419i
$919$	−43.3337	+	12.7239i	−1.42945	+	0.419723i	−0.902689	−	0.430293i	$-0.858410\pi$
$919$	−43.3337	+	12.7239i	−1.42945	+	0.419723i	−0.526756	+	0.850016i	$0.676592\pi$
$920$	4.43675	+	2.85132i	0.146275	+	0.0940054i
$921$	6.85493	−	4.40540i	0.225878	−	0.145163i
$922$	0.802406	+	1.75702i	0.0264258	+	0.0578645i
$923$	16.2084	−	4.75923i	0.533508	−	0.156652i
$924$	3.73973	+	2.40338i	0.123028	+	0.0790653i
$925$	−6.89637	+	7.95884i	−0.226751	+	0.261685i
$926$	23.5823	−	27.2154i	0.774962	−	0.894354i
$927$	5.17584	+	11.3335i	0.169997	+	0.372241i
$928$	−0.449866	−	3.12888i	−0.0147676	−	0.102711i
$929$	−20.1997	−	5.93116i	−0.662730	−	0.194595i	−0.0669669	−	0.997755i	$-0.521332\pi$
$929$	−20.1997	−	5.93116i	−0.662730	−	0.194595i	−0.595763	+	0.803160i	$0.703150\pi$
$930$	1.57666	+	1.81957i	0.0517009	+	0.0596660i
$931$	87.0712	+	25.5664i	2.85364	+	0.837905i
$932$	2.69935	−	5.91074i	0.0884200	−	0.193613i
$933$	−0.875480	−	1.91703i	−0.0286619	−	0.0627608i
$934$	28.0062	+	17.9985i	0.916392	+	0.588930i
$935$	1.65602	−	11.5179i	0.0541576	−	0.376675i
$936$	8.93116	+	2.62242i	0.291924	+	0.0857166i
$937$	−14.0773			−0.459887			−0.229943	−	0.973204i	$-0.573854\pi$
$937$	−14.0773			−0.459887			−0.229943	+	0.973204i	$0.573854\pi$
$938$	25.2279	+	25.4858i	0.823721	+	0.832142i
$939$	2.97880			0.0972095
$940$	8.00774	+	2.35129i	0.261184	+	0.0766905i
$941$	−5.08010	+	35.3328i	−0.165606	+	1.15182i	0.722228	+	0.691655i	$0.243118\pi$
$941$	−5.08010	+	35.3328i	−0.165606	+	1.15182i	−0.887834	+	0.460163i	$0.847791\pi$
$942$	4.75629	+	3.05668i	0.154968	+	0.0995920i
$943$	−1.79819	−	3.93749i	−0.0585572	−	0.128222i
$944$	4.09217	−	8.96060i	0.133189	−	0.291643i
$945$	−7.63736	−	2.24253i	−0.248443	−	0.0729496i
$946$	−24.3663	−	28.1202i	−0.792217	−	0.914267i
$947$	−52.5523	−	15.4307i	−1.70772	−	0.501432i	−0.725350	−	0.688381i	$-0.758322\pi$
$947$	−52.5523	−	15.4307i	−1.70772	−	0.501432i	−0.982370	+	0.186949i	$0.940140\pi$
$948$	0.127099	+	0.883992i	0.00412798	+	0.0287107i
$949$	−0.834661	−	1.82765i	−0.0270942	−	0.0593281i
$950$	4.87357	−	5.62440i	0.158119	−	0.182480i
$951$	−5.66951	+	6.54296i	−0.183846	+	0.212170i
$952$	13.0036	+	8.35693i	0.421450	+	0.270850i
$953$	−36.2609	+	10.6472i	−1.17461	+	0.344896i	−0.810092	−	0.586302i	$-0.800583\pi$
$953$	−36.2609	+	10.6472i	−1.17461	+	0.344896i	−0.364514	+	0.931198i	$0.618765\pi$
$954$	−5.05993	−	11.0797i	−0.163821	−	0.358719i
$955$	−11.6152	+	7.46462i	−0.375858	+	0.241549i
$956$	0.667041	+	0.428681i	0.0215736	+	0.0138645i
$957$	−3.07757	+	0.903657i	−0.0994838	+	0.0292111i
$958$	1.21463	−	8.44792i	0.0392428	−	0.272940i
$959$	−8.07179	+	17.6747i	−0.260652	+	0.570747i
$960$	0.0437852	+	0.304533i	0.00141316	+	0.00982876i
$961$	−4.30341	+	29.9309i	−0.138820	+	0.965512i
$962$	28.3836	−	18.2410i	0.915123	−	0.588114i
$963$	−12.7911	+	14.7617i	−0.412187	+	0.475689i
$964$	5.22970	−	3.36092i	0.168437	−	0.108248i
$965$	−4.19931	+	9.19520i	−0.135181	+	0.296004i
$966$	4.65525	+	5.37245i	0.149780	+	0.172856i
$967$	−56.2235			−1.80803			−0.904013	−	0.427504i	$-0.859393\pi$
$967$	−56.2235			−1.80803			−0.904013	+	0.427504i	$0.859393\pi$
$968$	−0.122903			−0.00395024
$969$	5.29034	+	6.10537i	0.169950	+	0.196133i
$970$	0.298699	+	2.07749i	0.00959064	+	0.0667043i
$971$	11.1786	−	3.28234i	0.358740	−	0.105335i	−0.0973961	−	0.995246i	$-0.531051\pi$
$971$	11.1786	−	3.28234i	0.358740	−	0.105335i	0.456136	+	0.889910i	$0.349233\pi$
$972$	−7.63778	+	2.24266i	−0.244982	+	0.0719332i
$973$	10.2434	+	71.2447i	0.328390	+	2.28400i
$974$	1.81212	+	2.09129i	0.0580640	+	0.0670094i
$975$	0.985703			0.0315678
$976$	−0.554409			−0.0177462
$977$	31.2628	+	36.0791i	1.00018	+	1.15427i	0.988017	+	0.154348i	$0.0493278\pi$
$977$	31.2628	+	36.0791i	1.00018	+	1.15427i	0.0121678	+	0.999926i	$0.496127\pi$
$978$	−1.98093	+	4.33763i	−0.0633431	+	0.138702i
$979$	−28.4469	+	18.2817i	−0.909166	+	0.584285i
$980$	7.98516	−	9.21537i	0.255077	−	0.294374i
$981$	28.7966	−	18.5064i	0.919404	−	0.590865i
$982$	−5.71450	+	39.7452i	−0.182357	+	1.26832i
$983$	−3.50423	−	24.3725i	−0.111768	−	0.777360i	−0.966199	−	0.257797i	$-0.917004\pi$
$983$	−3.50423	−	24.3725i	−0.111768	−	0.777360i	0.854432	−	0.519564i	$-0.173906\pi$
$984$	0.104900	−	0.229699i	0.00334410	−	0.00732255i
$985$	−0.633451	+	4.40575i	−0.0201834	+	0.140379i
$986$	−10.7012	+	3.14216i	−0.340796	+	0.100067i
$987$	9.46350	+	6.08182i	0.301227	+	0.193587i
$988$	−20.0583	+	12.8907i	−0.638138	+	0.410107i
$989$	−24.7175	−	54.1237i	−0.785970	−	1.72103i
$990$	−9.19381	+	2.69955i	−0.292199	+	0.0857972i
$991$	24.1897	+	15.5458i	0.768412	+	0.493828i	0.865169	−	0.501480i	$-0.167211\pi$
$991$	24.1897	+	15.5458i	0.768412	+	0.493828i	−0.0967578	+	0.995308i	$0.530847\pi$
$992$	−5.12462	+	5.91413i	−0.162707	+	0.187774i
$993$	−1.39362	+	1.60832i	−0.0442251	+	0.0510385i
$994$	−9.59605	−	21.0124i	−0.304368	−	0.666473i
$995$	−3.48846	−	24.2628i	−0.110592	−	0.769181i
$996$	1.54126	+	0.452554i	0.0488366	+	0.0143397i
$997$	16.6999	+	19.2727i	0.528891	+	0.610373i	0.955834	−	0.293906i	$-0.0949551\pi$
$997$	16.6999	+	19.2727i	0.528891	+	0.610373i	−0.426943	+	0.904278i	$0.640410\pi$
$998$	−5.22450	−	1.53405i	−0.165379	−	0.0485596i
$999$	−7.94834	+	17.4044i	−0.251474	+	0.550652i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	670.2.k.b.131.3	✓	50
67.22	even	11	inner	670.2.k.b.491.3	yes	50

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
670.2.k.b.131.3	✓	50	1.1	even	1	trivial
670.2.k.b.491.3	yes	50	67.22	even	11	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 670 = 2 \cdot 5 \cdot 67 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	670.k (of order \(11\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.959493 - 0.281733i) q^{2} +(-0.0437852 + 0.304533i) q^{3} +(0.841254 + 0.540641i) q^{4} +(-0.415415 - 0.909632i) q^{5} +(0.127808 - 0.279862i) q^{6} +(-4.20360 - 1.23429i) q^{7} +(-0.654861 - 0.755750i) q^{8} +(2.78766 + 0.818530i) q^{9} +O(q^{10})\)	\(q+(-0.959493 - 0.281733i) q^{2} +(-0.0437852 + 0.304533i) q^{3} +(0.841254 + 0.540641i) q^{4} +(-0.415415 - 0.909632i) q^{5} +(0.127808 - 0.279862i) q^{6} +(-4.20360 - 1.23429i) q^{7} +(-0.654861 - 0.755750i) q^{8} +(2.78766 + 0.818530i) q^{9} +(0.142315 + 0.989821i) q^{10} +(1.37006 + 3.00001i) q^{11} +(-0.201477 + 0.232517i) q^{12} +(-2.09806 + 2.42129i) q^{13} +(3.68558 + 2.36858i) q^{14} +(0.295202 - 0.0866791i) q^{15} +(0.415415 + 0.909632i) q^{16} +(2.96815 - 1.90751i) q^{17} +(-2.44413 - 1.57075i) q^{18} +(7.14068 - 2.09669i) q^{19} +(0.142315 - 0.989821i) q^{20} +(0.559936 - 1.22609i) q^{21} +(-0.469361 - 3.26448i) q^{22} +(0.750564 - 5.22029i) q^{23} +(0.258824 - 0.166336i) q^{24} +(-0.654861 + 0.755750i) q^{25} +(2.69523 - 1.73212i) q^{26} +(-0.754753 + 1.65268i) q^{27} +(-2.86898 - 3.31098i) q^{28} +3.16106 q^{29} -0.307665 q^{30} +(-5.12462 - 5.91413i) q^{31} +(-0.142315 - 0.989821i) q^{32} +(-0.973589 + 0.285872i) q^{33} +(-3.38533 + 0.994022i) q^{34} +(0.623490 + 4.33647i) q^{35} +(1.90259 + 2.19571i) q^{36} +10.5311 q^{37} -7.44214 q^{38} +(-0.645498 - 0.744944i) q^{39} +(-0.415415 + 0.909632i) q^{40} +(0.690468 - 0.443737i) q^{41} +(-0.882685 + 1.01867i) q^{42} +(9.49098 - 6.09948i) q^{43} +(-0.469361 + 3.26448i) q^{44} +(-0.413473 - 2.87577i) q^{45} +(-2.19089 + 4.79737i) q^{46} +(-1.18773 + 8.26086i) q^{47} +(-0.295202 + 0.0866791i) q^{48} +(10.2580 + 6.59240i) q^{49} +(0.841254 - 0.540641i) q^{50} +(0.450940 + 0.987420i) q^{51} +(-3.07405 + 0.902621i) q^{52} +(3.52689 + 2.26660i) q^{53} +(1.18979 - 1.37309i) q^{54} +(2.15976 - 2.49250i) q^{55} +(1.81996 + 3.98515i) q^{56} +(0.325856 + 2.26638i) q^{57} +(-3.03301 - 0.890574i) q^{58} +(-6.45090 - 7.44473i) q^{59} +(0.295202 + 0.0866791i) q^{60} +(-0.230310 + 0.504308i) q^{61} +(3.25084 + 7.11834i) q^{62} +(-10.7079 - 6.88153i) q^{63} +(-0.142315 + 0.989821i) q^{64} +(3.07405 + 0.902621i) q^{65} +1.01469 q^{66} +(7.98934 + 1.78058i) q^{67} +3.52825 q^{68} +(1.55689 + 0.457143i) q^{69} +(0.623490 - 4.33647i) q^{70} +(-4.43566 - 2.85062i) q^{71} +(-1.20692 - 2.64279i) q^{72} +(-0.260520 + 0.570460i) q^{73} +(-10.1045 - 2.96694i) q^{74} +(-0.201477 - 0.232517i) q^{75} +(7.14068 + 2.09669i) q^{76} +(-2.05630 - 14.3019i) q^{77} +(0.409476 + 0.896627i) q^{78} +(1.90092 - 2.19378i) q^{79} +(0.654861 - 0.755750i) q^{80} +(6.86214 + 4.41003i) q^{81} +(-0.787514 + 0.231235i) q^{82} +(-2.16889 - 4.74921i) q^{83} +(1.13392 - 0.728728i) q^{84} +(-2.96815 - 1.90751i) q^{85} +(-10.8249 + 3.17849i) q^{86} +(-0.138408 + 0.962647i) q^{87} +(1.37006 - 3.00001i) q^{88} +(1.45915 + 10.1486i) q^{89} +(-0.413473 + 2.87577i) q^{90} +(11.8079 - 7.58851i) q^{91} +(3.45372 - 3.98580i) q^{92} +(2.02543 - 1.30166i) q^{93} +(3.46697 - 7.59161i) q^{94} +(-4.87357 - 5.62440i) q^{95} +0.307665 q^{96} +2.09886 q^{97} +(-7.98516 - 9.21537i) q^{98} +(1.36365 + 9.48442i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 50 q - 5 q^{2} + 2 q^{3} - 5 q^{4} + 5 q^{5} + 2 q^{6} + q^{7} - 5 q^{8} - q^{9}+O(q^{10}) \) 50 * q - 5 * q^2 + 2 * q^3 - 5 * q^4 + 5 * q^5 + 2 * q^6 + q^7 - 5 * q^8 - q^9	\( 50 q - 5 q^{2} + 2 q^{3} - 5 q^{4} + 5 q^{5} + 2 q^{6} + q^{7} - 5 q^{8} - q^{9} + 5 q^{10} + 30 q^{11} - 9 q^{12} + 20 q^{13} - 21 q^{14} - 2 q^{15} - 5 q^{16} + 2 q^{17} - q^{18} + 4 q^{19} + 5 q^{20} + 23 q^{21} - 3 q^{22} - 5 q^{23} + 2 q^{24} - 5 q^{25} - 2 q^{26} + 2 q^{27} - 10 q^{28} + 26 q^{29} - 2 q^{30} + 3 q^{31} - 5 q^{32} + 38 q^{33} + 2 q^{34} - 12 q^{35} - q^{36} + 22 q^{37} - 40 q^{38} - 35 q^{39} + 5 q^{40} - 18 q^{41} - 10 q^{42} + 87 q^{43} - 3 q^{44} + 12 q^{45} + 17 q^{46} + 35 q^{47} + 2 q^{48} + 60 q^{49} - 5 q^{50} + 19 q^{51} - 24 q^{52} - 9 q^{53} + 2 q^{54} + 25 q^{55} + 12 q^{56} + 64 q^{57} + 4 q^{58} - 49 q^{59} - 2 q^{60} - 47 q^{61} - 19 q^{62} - 24 q^{63} - 5 q^{64} + 24 q^{65} - 6 q^{66} - 21 q^{67} + 2 q^{68} - 25 q^{69} - 12 q^{70} + 92 q^{71} - q^{72} + 18 q^{73} - 22 q^{74} - 9 q^{75} + 4 q^{76} - 65 q^{77} + 31 q^{78} - 58 q^{79} + 5 q^{80} - 77 q^{81} - 18 q^{82} - 49 q^{83} - 54 q^{84} - 2 q^{85} - q^{86} - 147 q^{87} + 30 q^{88} - 21 q^{89} + 12 q^{90} + 62 q^{91} + 6 q^{92} - 34 q^{93} - 9 q^{94} + 7 q^{95} + 2 q^{96} + 98 q^{97} - 39 q^{98} - 4 q^{99}+O(q^{100}) \) 50 * q - 5 * q^2 + 2 * q^3 - 5 * q^4 + 5 * q^5 + 2 * q^6 + q^7 - 5 * q^8 - q^9 + 5 * q^10 + 30 * q^11 - 9 * q^12 + 20 * q^13 - 21 * q^14 - 2 * q^15 - 5 * q^16 + 2 * q^17 - q^18 + 4 * q^19 + 5 * q^20 + 23 * q^21 - 3 * q^22 - 5 * q^23 + 2 * q^24 - 5 * q^25 - 2 * q^26 + 2 * q^27 - 10 * q^28 + 26 * q^29 - 2 * q^30 + 3 * q^31 - 5 * q^32 + 38 * q^33 + 2 * q^34 - 12 * q^35 - q^36 + 22 * q^37 - 40 * q^38 - 35 * q^39 + 5 * q^40 - 18 * q^41 - 10 * q^42 + 87 * q^43 - 3 * q^44 + 12 * q^45 + 17 * q^46 + 35 * q^47 + 2 * q^48 + 60 * q^49 - 5 * q^50 + 19 * q^51 - 24 * q^52 - 9 * q^53 + 2 * q^54 + 25 * q^55 + 12 * q^56 + 64 * q^57 + 4 * q^58 - 49 * q^59 - 2 * q^60 - 47 * q^61 - 19 * q^62 - 24 * q^63 - 5 * q^64 + 24 * q^65 - 6 * q^66 - 21 * q^67 + 2 * q^68 - 25 * q^69 - 12 * q^70 + 92 * q^71 - q^72 + 18 * q^73 - 22 * q^74 - 9 * q^75 + 4 * q^76 - 65 * q^77 + 31 * q^78 - 58 * q^79 + 5 * q^80 - 77 * q^81 - 18 * q^82 - 49 * q^83 - 54 * q^84 - 2 * q^85 - q^86 - 147 * q^87 + 30 * q^88 - 21 * q^89 + 12 * q^90 + 62 * q^91 + 6 * q^92 - 34 * q^93 - 9 * q^94 + 7 * q^95 + 2 * q^96 + 98 * q^97 - 39 * q^98 - 4 * q^99

Introduction

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