LMFDB - Embedded newform 966.2.r.b.113.19

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [966,2,Mod(113,966)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(966, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 0, 13]))

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

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

chi := DirichletCharacter("966.113");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 966 = 2 \cdot 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	966.r (of order $22$, degree $10$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$7.71354883526$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$24$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			113.19
Character	$\chi$	$=$	966.113
Dual form			966.2.r.b.701.19

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.540641 - 0.841254i) q^{2} +(0.137828 - 1.72656i) q^{3} +(-0.415415 - 0.909632i) q^{4} +(0.285460 + 0.0838187i) q^{5} +(-1.37796 - 1.04940i) q^{6} +(-0.755750 - 0.654861i) q^{7} +(-0.989821 - 0.142315i) q^{8} +(-2.96201 - 0.475936i) q^{9} +O(q^{10})$	\(q+(0.540641 - 0.841254i) q^{2} +(0.137828 - 1.72656i) q^{3} +(-0.415415 - 0.909632i) q^{4} +(0.285460 + 0.0838187i) q^{5} +(-1.37796 - 1.04940i) q^{6} +(-0.755750 - 0.654861i) q^{7} +(-0.989821 - 0.142315i) q^{8} +(-2.96201 - 0.475936i) q^{9} +(0.224844 - 0.194829i) q^{10} +(-1.63115 + 1.04828i) q^{11} +(-1.62779 + 0.591866i) q^{12} +(-1.94236 - 2.24160i) q^{13} +(-0.959493 + 0.281733i) q^{14} +(0.184062 - 0.481311i) q^{15} +(-0.654861 + 0.755750i) q^{16} +(-0.980184 + 2.14630i) q^{17} +(-2.00176 + 2.23449i) q^{18} +(-2.97779 + 1.35991i) q^{19} +(-0.0423403 - 0.294483i) q^{20} +(-1.23482 + 1.21459i) q^{21} +1.93895i q^{22} +(-0.150396 - 4.79347i) q^{23} +(-0.382140 + 1.68937i) q^{24} +(-4.13181 - 2.65535i) q^{25} +(-2.93588 + 0.422115i) q^{26} +(-1.22998 + 5.04848i) q^{27} +(-0.281733 + 0.959493i) q^{28} +(2.22019 + 1.01393i) q^{29} +(-0.305393 - 0.415059i) q^{30} +(0.695433 - 4.83684i) q^{31} +(0.281733 + 0.959493i) q^{32} +(1.58510 + 2.96076i) q^{33} +(1.27566 + 1.98496i) q^{34} +(-0.160847 - 0.250283i) q^{35} +(0.797536 + 2.89205i) q^{36} +(1.33714 + 4.55389i) q^{37} +(-0.465886 + 3.24030i) q^{38} +(-4.13797 + 3.04464i) q^{39} +(-0.270626 - 0.123591i) q^{40} +(2.00029 - 6.81235i) q^{41} +(0.354183 + 1.69545i) q^{42} +(-7.38839 + 1.06229i) q^{43} +(1.63115 + 1.04828i) q^{44} +(-0.805643 - 0.384132i) q^{45} +(-4.11384 - 2.46503i) q^{46} -1.33243i q^{47} +(1.21459 + 1.23482i) q^{48} +(0.142315 + 0.989821i) q^{49} +(-4.46765 + 2.04031i) q^{50} +(3.57062 + 1.98817i) q^{51} +(-1.23215 + 2.69803i) q^{52} +(1.33805 - 1.54419i) q^{53} +(3.58208 + 3.76414i) q^{54} +(-0.553494 + 0.162521i) q^{55} +(0.654861 + 0.755750i) q^{56} +(1.93755 + 5.32877i) q^{57} +(2.05330 - 1.31957i) q^{58} +(9.18500 - 7.95885i) q^{59} +(-0.514278 + 0.0325150i) q^{60} +(-2.77598 - 0.399125i) q^{61} +(-3.69303 - 3.20003i) q^{62} +(1.92686 + 2.29939i) q^{63} +(0.959493 + 0.281733i) q^{64} +(-0.366579 - 0.802695i) q^{65} +(3.34772 + 0.267242i) q^{66} +(-0.933270 + 1.45220i) q^{67} +2.35953 q^{68} +(-8.29694 - 0.401008i) q^{69} -0.297512 q^{70} +(6.42019 - 9.99002i) q^{71} +(2.86413 + 0.892629i) q^{72} +(1.34183 + 2.93819i) q^{73} +(4.55389 + 1.33714i) q^{74} +(-5.15410 + 6.76782i) q^{75} +(2.47404 + 2.14377i) q^{76} +(1.91922 + 0.275942i) q^{77} +(0.324161 + 5.12714i) q^{78} +(-7.57661 + 6.56517i) q^{79} +(-0.250283 + 0.160847i) q^{80} +(8.54697 + 2.81945i) q^{81} +(-4.64948 - 5.36578i) q^{82} +(4.64382 - 1.36355i) q^{83} +(1.61779 + 0.618673i) q^{84} +(-0.459704 + 0.530527i) q^{85} +(-3.10081 + 6.78983i) q^{86} +(2.05661 - 3.69354i) q^{87} +(1.76374 - 0.805471i) q^{88} +(2.28659 + 15.9036i) q^{89} +(-0.758716 + 0.470072i) q^{90} +2.96607i q^{91} +(-4.29782 + 2.12809i) q^{92} +(-8.25524 - 1.86736i) q^{93} +(-1.12091 - 0.720365i) q^{94} +(-0.964028 + 0.138606i) q^{95} +(1.69545 - 0.354183i) q^{96} +(3.03099 - 10.3226i) q^{97} +(0.909632 + 0.415415i) q^{98} +(5.33040 - 2.32868i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 4 q^{3} + 24 q^{4} + 4 q^{5} + 4 q^{9}+O(q^{10}) $ 240 * q - 4 * q^3 + 24 * q^4 + 4 * q^5 + 4 * q^9	$ 240 q - 4 q^{3} + 24 q^{4} + 4 q^{5} + 4 q^{9} + 4 q^{12} - 8 q^{13} - 24 q^{14} + 26 q^{15} - 24 q^{16} - 32 q^{17} + 40 q^{18} - 4 q^{20} + 8 q^{23} + 12 q^{25} + 116 q^{27} + 4 q^{30} + 16 q^{31} + 2 q^{33} - 4 q^{36} + 22 q^{37} + 8 q^{39} - 154 q^{41} - 4 q^{42} + 22 q^{43} - 24 q^{45} + 4 q^{46} - 4 q^{48} + 24 q^{49} - 88 q^{50} - 24 q^{51} + 8 q^{52} + 108 q^{53} + 12 q^{54} - 16 q^{55} + 24 q^{56} - 70 q^{57} - 4 q^{58} - 22 q^{59} - 26 q^{60} + 4 q^{63} + 24 q^{64} - 76 q^{66} - 44 q^{67} + 32 q^{68} - 86 q^{69} + 4 q^{70} + 4 q^{72} - 12 q^{73} + 16 q^{74} - 26 q^{75} - 78 q^{78} + 4 q^{80} - 168 q^{81} + 8 q^{82} - 16 q^{83} - 28 q^{85} - 16 q^{86} + 156 q^{87} - 24 q^{89} - 126 q^{90} - 8 q^{92} - 16 q^{93} - 8 q^{94} + 132 q^{97} - 172 q^{99}+O(q^{100}) $ 240 * q - 4 * q^3 + 24 * q^4 + 4 * q^5 + 4 * q^9 + 4 * q^12 - 8 * q^13 - 24 * q^14 + 26 * q^15 - 24 * q^16 - 32 * q^17 + 40 * q^18 - 4 * q^20 + 8 * q^23 + 12 * q^25 + 116 * q^27 + 4 * q^30 + 16 * q^31 + 2 * q^33 - 4 * q^36 + 22 * q^37 + 8 * q^39 - 154 * q^41 - 4 * q^42 + 22 * q^43 - 24 * q^45 + 4 * q^46 - 4 * q^48 + 24 * q^49 - 88 * q^50 - 24 * q^51 + 8 * q^52 + 108 * q^53 + 12 * q^54 - 16 * q^55 + 24 * q^56 - 70 * q^57 - 4 * q^58 - 22 * q^59 - 26 * q^60 + 4 * q^63 + 24 * q^64 - 76 * q^66 - 44 * q^67 + 32 * q^68 - 86 * q^69 + 4 * q^70 + 4 * q^72 - 12 * q^73 + 16 * q^74 - 26 * q^75 - 78 * q^78 + 4 * q^80 - 168 * q^81 + 8 * q^82 - 16 * q^83 - 28 * q^85 - 16 * q^86 + 156 * q^87 - 24 * q^89 - 126 * q^90 - 8 * q^92 - 16 * q^93 - 8 * q^94 + 132 * q^97 - 172 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/966\mathbb{Z}\right)^\times$.

$n$	$323$	$829$	$925$
$\chi(n)$	$-1$	$1$	$e\left(\frac{13}{22}\right)$

Coefficient data

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

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

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

$2$	0.540641	−	0.841254i	0.382291	−	0.594856i
$2$	0.540641	−	0.841254i	0.382291	−	0.594856i
$3$	0.137828	−	1.72656i	0.0795750	−	0.996829i
$3$	0.137828	−	1.72656i	0.0795750	−	0.996829i
$4$	−0.415415	−	0.909632i	−0.207708	−	0.454816i
$5$	0.285460	+	0.0838187i	0.127662	+	0.0374849i	0.344939	−	0.938625i	$-0.387900\pi$
$5$	0.285460	+	0.0838187i	0.127662	+	0.0374849i	−0.217278	+	0.976110i	$0.569718\pi$
$6$	−1.37796	−	1.04940i	−0.562549	−	0.428414i
$7$	−0.755750	−	0.654861i	−0.285646	−	0.247514i
$7$	−0.755750	−	0.654861i	−0.285646	−	0.247514i
$8$	−0.989821	−	0.142315i	−0.349955	−	0.0503159i
$9$	−2.96201	−	0.475936i	−0.987336	−	0.158645i
$10$	0.224844	−	0.194829i	0.0711020	−	0.0616102i
$11$	−1.63115	+	1.04828i	−0.491811	+	0.316068i	−0.762933	−	0.646477i	$-0.776242\pi$
$11$	−1.63115	+	1.04828i	−0.491811	+	0.316068i	0.271122	+	0.962545i	$0.412605\pi$
$12$	−1.62779	+	0.591866i	−0.469902	+	0.170857i
$13$	−1.94236	−	2.24160i	−0.538714	−	0.621709i	0.419502	−	0.907754i	$-0.362205\pi$
$13$	−1.94236	−	2.24160i	−0.538714	−	0.621709i	−0.958216	+	0.286045i	$0.907659\pi$
$14$	−0.959493	+	0.281733i	−0.256435	+	0.0752962i
$15$	0.184062	−	0.481311i	0.0475247	−	0.124274i
$16$	−0.654861	+	0.755750i	−0.163715	+	0.188937i
$17$	−0.980184	+	2.14630i	−0.237730	+	0.520555i	−0.990464	−	0.137769i	$-0.956007\pi$
$17$	−0.980184	+	2.14630i	−0.237730	+	0.520555i	0.752735	+	0.658324i	$0.228734\pi$
$18$	−2.00176	+	2.23449i	−0.471820	+	0.526674i
$19$	−2.97779	+	1.35991i	−0.683153	+	0.311986i	−0.726591	−	0.687071i	$-0.758896\pi$
$19$	−2.97779	+	1.35991i	−0.683153	+	0.311986i	0.0434377	+	0.999056i	$0.486169\pi$
$20$	−0.0423403	−	0.294483i	−0.00946758	−	0.0658485i
$21$	−1.23482	+	1.21459i	−0.269460	+	0.265045i
$22$			1.93895i			0.413387i
$23$	−0.150396	−	4.79347i	−0.0313596	−	0.999508i
$23$	−0.150396	−	4.79347i	−0.0313596	−	0.999508i
$24$	−0.382140	+	1.68937i	−0.0780040	+	0.344841i
$25$	−4.13181	−	2.65535i	−0.826361	−	0.531070i
$26$	−2.93588	+	0.422115i	−0.575773	+	0.0827837i
$27$	−1.22998	+	5.04848i	−0.236709	+	0.971581i
$28$	−0.281733	+	0.959493i	−0.0532424	+	0.181327i
$29$	2.22019	+	1.01393i	0.412279	+	0.188282i	0.610747	−	0.791826i	$-0.290869\pi$
$29$	2.22019	+	1.01393i	0.412279	+	0.188282i	−0.198468	+	0.980107i	$0.563597\pi$
$30$	−0.305393	−	0.415059i	−0.0557569	−	0.0757791i
$31$	0.695433	−	4.83684i	0.124903	−	0.868722i	−0.826973	−	0.562241i	$-0.809939\pi$
$31$	0.695433	−	4.83684i	0.124903	−	0.868722i	0.951877	−	0.306481i	$-0.0991516\pi$
$32$	0.281733	+	0.959493i	0.0498038	+	0.169616i
$33$	1.58510	+	2.96076i	0.275930	+	0.515403i
$34$	1.27566	+	1.98496i	0.218774	+	0.340418i
$35$	−0.160847	−	0.250283i	−0.0271881	−	0.0423055i
$36$	0.797536	+	2.89205i	0.132923	+	0.482008i
$37$	1.33714	+	4.55389i	0.219825	+	0.748655i	0.993375	+	0.114920i	$0.0366610\pi$
$37$	1.33714	+	4.55389i	0.219825	+	0.748655i	−0.773550	+	0.633735i	$0.781521\pi$
$38$	−0.465886	+	3.24030i	−0.0755766	+	0.525647i
$39$	−4.13797	+	3.04464i	−0.662606	+	0.487533i
$40$	−0.270626	−	0.123591i	−0.0427897	−	0.0195414i
$41$	2.00029	−	6.81235i	0.312392	−	1.06391i	−0.642334	−	0.766425i	$-0.722034\pi$
$41$	2.00029	−	6.81235i	0.312392	−	1.06391i	0.954726	−	0.297486i	$-0.0961480\pi$
$42$	0.354183	+	1.69545i	0.0546516	+	0.261614i
$43$	−7.38839	+	1.06229i	−1.12672	+	0.161998i	−0.680375	−	0.732864i	$-0.738183\pi$
$43$	−7.38839	+	1.06229i	−1.12672	+	0.161998i	−0.446344	+	0.894862i	$0.647274\pi$
$44$	1.63115	+	1.04828i	0.245906	+	0.158034i
$45$	−0.805643	−	0.384132i	−0.120098	−	0.0572631i
$46$	−4.11384	−	2.46503i	−0.606552	−	0.363448i
$47$		−	1.33243i		−	0.194355i	−0.995267	−	0.0971773i	$-0.969019\pi$
$47$		−	1.33243i		−	0.194355i	0.995267	−	0.0971773i	$-0.0309814\pi$
$48$	1.21459	+	1.23482i	0.175311	+	0.178231i
$49$	0.142315	+	0.989821i	0.0203307	+	0.141403i
$50$	−4.46765	+	2.04031i	−0.631821	+	0.288543i
$51$	3.57062	+	1.98817i	0.499987	+	0.278399i
$52$	−1.23215	+	2.69803i	−0.170868	+	0.374149i
$53$	1.33805	−	1.54419i	0.183795	−	0.212111i	−0.656373	−	0.754436i	$-0.727910\pi$
$53$	1.33805	−	1.54419i	0.183795	−	0.212111i	0.840169	+	0.542325i	$0.182456\pi$
$54$	3.58208	+	3.76414i	0.487459	+	0.512234i
$55$	−0.553494	+	0.162521i	−0.0746332	+	0.0219143i
$56$	0.654861	+	0.755750i	0.0875094	+	0.100991i
$57$	1.93755	+	5.32877i	0.256634	+	0.705813i
$58$	2.05330	−	1.31957i	0.269611	−	0.173268i
$59$	9.18500	−	7.95885i	1.19579	−	1.03615i	0.197344	−	0.980334i	$-0.436768\pi$
$59$	9.18500	−	7.95885i	1.19579	−	1.03615i	0.998441	−	0.0558194i	$-0.0177771\pi$
$60$	−0.514278	+	0.0325150i	−0.0663930	+	0.00419767i
$61$	−2.77598	−	0.399125i	−0.355427	−	0.0511027i	−0.0377114	−	0.999289i	$-0.512007\pi$
$61$	−2.77598	−	0.399125i	−0.355427	−	0.0511027i	−0.317716	+	0.948186i	$0.602916\pi$
$62$	−3.69303	−	3.20003i	−0.469015	−	0.406404i
$63$	1.92686	+	2.29939i	0.242762	+	0.289696i
$64$	0.959493	+	0.281733i	0.119937	+	0.0352166i
$65$	−0.366579	−	0.802695i	−0.0454685	−	0.0995621i
$66$	3.34772	+	0.267242i	0.412076	+	0.0328952i
$67$	−0.933270	+	1.45220i	−0.114017	+	0.177414i	−0.893572	−	0.448920i	$-0.851809\pi$
$67$	−0.933270	+	1.45220i	−0.114017	+	0.177414i	0.779555	+	0.626334i	$0.215445\pi$
$68$	2.35953			0.286135
$69$	−8.29694	−	0.401008i	−0.998834	−	0.0482756i
$70$	−0.297512			−0.0355594
$71$	6.42019	−	9.99002i	0.761937	−	1.18560i	−0.215938	−	0.976407i	$-0.569281\pi$
$71$	6.42019	−	9.99002i	0.761937	−	1.18560i	0.977875	−	0.209190i	$-0.0670827\pi$
$72$	2.86413	+	0.892629i	0.337540	+	0.105197i
$73$	1.34183	+	2.93819i	0.157049	+	0.343889i	0.971758	−	0.235981i	$-0.0758304\pi$
$73$	1.34183	+	2.93819i	0.157049	+	0.343889i	−0.814709	+	0.579871i	$0.803103\pi$
$74$	4.55389	+	1.33714i	0.529379	+	0.155440i
$75$	−5.15410	+	6.76782i	−0.595144	+	0.781481i
$76$	2.47404	+	2.14377i	0.283792	+	0.245907i
$77$	1.91922	+	0.275942i	0.218715	+	0.0314465i
$78$	0.324161	+	5.12714i	0.0367040	+	0.580535i
$79$	−7.57661	+	6.56517i	−0.852436	+	0.738640i	−0.967000	−	0.254776i	$-0.917998\pi$
$79$	−7.57661	+	6.56517i	−0.852436	+	0.738640i	0.114564	+	0.993416i	$0.463453\pi$
$80$	−0.250283	+	0.160847i	−0.0279824	+	0.0179832i
$81$	8.54697	+	2.81945i	0.949663	+	0.313272i
$82$	−4.64948	−	5.36578i	−0.513449	−	0.592552i
$83$	4.64382	−	1.36355i	0.509725	−	0.149669i	−0.0167492	−	0.999860i	$-0.505332\pi$
$83$	4.64382	−	1.36355i	0.509725	−	0.149669i	0.526475	+	0.850191i	$0.323514\pi$
$84$	1.61779	+	0.618673i	0.176515	+	0.0675027i
$85$	−0.459704	+	0.530527i	−0.0498619	+	0.0575437i
$86$	−3.10081	+	6.78983i	−0.334369	+	0.732166i
$87$	2.05661	−	3.69354i	0.220492	−	0.395989i
$88$	1.76374	−	0.805471i	0.188015	−	0.0858635i
$89$	2.28659	+	15.9036i	0.242378	+	1.68578i	0.640115	+	0.768279i	$0.278887\pi$
$89$	2.28659	+	15.9036i	0.242378	+	1.68578i	−0.397736	+	0.917500i	$0.630204\pi$
$90$	−0.758716	+	0.470072i	−0.0799757	+	0.0495500i
$91$			2.96607i			0.310928i
$92$	−4.29782	+	2.12809i	−0.448079	+	0.221868i
$93$	−8.25524	−	1.86736i	−0.856028	−	0.193636i
$94$	−1.12091	−	0.720365i	−0.115613	−	0.0743000i
$95$	−0.964028	+	0.138606i	−0.0989072	+	0.0142207i
$96$	1.69545	−	0.354183i	0.173041	−	0.0361486i
$97$	3.03099	−	10.3226i	0.307751	−	1.04810i	−0.649864	−	0.760050i	$-0.725174\pi$
$97$	3.03099	−	10.3226i	0.307751	−	1.04810i	0.957615	−	0.288052i	$-0.0930075\pi$
$98$	0.909632	+	0.415415i	0.0918867	+	0.0419633i
$99$	5.33040	−	2.32868i	0.535725	−	0.234041i
$100$	−0.698977	+	4.86150i	−0.0698977	+	0.486150i
$101$	0.974009	+	3.31717i	0.0969175	+	0.330071i	0.993652	−	0.112498i	$-0.0358853\pi$
$101$	0.974009	+	3.31717i	0.0969175	+	0.330071i	−0.896734	+	0.442569i	$0.854067\pi$
$102$	3.60297	−	1.92891i	0.356748	−	0.190991i
$103$	−5.60727	−	8.72508i	−0.552501	−	0.859708i	0.446891	−	0.894589i	$-0.352531\pi$
$103$	−5.60727	−	8.72508i	−0.552501	−	0.859708i	−0.999391	+	0.0348805i	$0.988895\pi$
$104$	1.60358	+	2.49522i	0.157244	+	0.244676i
$105$	−0.454297	+	0.243216i	−0.0443348	+	0.0237354i
$106$	−0.575653	−	1.96049i	−0.0559123	−	0.190420i
$107$	1.61193	−	11.2112i	0.155832	−	1.08383i	−0.750380	−	0.661007i	$-0.770129\pi$
$107$	1.61193	−	11.2112i	0.155832	−	1.08383i	0.906211	−	0.422825i	$-0.138962\pi$
$108$	5.10321	−	0.978387i	0.491057	−	0.0941454i
$109$	−8.78918	−	4.01388i	−0.841850	−	0.384460i	−0.0526628	−	0.998612i	$-0.516771\pi$
$109$	−8.78918	−	4.01388i	−0.841850	−	0.384460i	−0.789188	+	0.614152i	$0.789498\pi$
$110$	−0.162521	+	0.553494i	−0.0154957	+	0.0527736i
$111$	8.04685	−	1.68100i	0.763774	−	0.159554i
$112$	0.989821	−	0.142315i	0.0935293	−	0.0134475i
$113$	−4.48480	−	2.88221i	−0.421895	−	0.271135i	0.312420	−	0.949944i	$-0.398860\pi$
$113$	−4.48480	−	2.88221i	−0.421895	−	0.271135i	−0.734315	+	0.678809i	$0.762497\pi$
$114$	5.53036	+	1.25098i	0.517966	+	0.117165i
$115$	0.358851	−	1.38095i	0.0334630	−	0.128774i
$116$		−	2.44076i		−	0.226619i
$117$	4.68643	+	7.56409i	0.433260	+	0.699300i
$118$	−1.72962	−	12.0298i	−0.159225	−	1.10743i
$119$	2.14630	−	0.980184i	0.196751	−	0.0898533i
$120$	−0.250686	+	0.450217i	−0.0228844	+	0.0410990i
$121$	−3.00779	+	6.58615i	−0.273436	+	0.598741i
$122$	−1.83657	+	2.11952i	−0.166275	+	0.191892i
$123$	−11.4862	−	4.39254i	−1.03568	−	0.396062i
$124$	−4.68864	+	1.37671i	−0.421052	+	0.123632i
$125$	−1.93104	−	2.22854i	−0.172718	−	0.199327i
$126$	2.97611	−	0.377837i	0.265133	−	0.0336604i
$127$	11.7109	−	7.52613i	1.03917	−	0.667836i	0.0943912	−	0.995535i	$-0.469910\pi$
$127$	11.7109	−	7.52613i	1.03917	−	0.667836i	0.944782	+	0.327699i	$0.106273\pi$
$128$	0.755750	−	0.654861i	0.0667995	−	0.0578821i
$129$	0.815780	+	12.9029i	0.0718254	+	1.13604i
$130$	−0.873457	−	0.125584i	−0.0766073	−	0.0110145i
$131$	6.23110	+	5.39928i	0.544414	+	0.471737i	0.883115	−	0.469157i	$-0.155442\pi$
$131$	6.23110	+	5.39928i	0.544414	+	0.471737i	−0.338701	+	0.940894i	$0.609988\pi$
$132$	2.03473	−	2.67180i	0.177101	−	0.232550i
$133$	3.14102	+	0.922287i	0.272361	+	0.0799724i
$134$	0.717101	+	1.57023i	0.0619481	+	0.135647i
$135$	−0.774267	+	1.33805i	−0.0666383	+	0.115161i
$136$	1.27566	−	1.98496i	0.109387	−	0.170209i
$137$	−11.6909			−0.998818			−0.499409	−	0.866366i	$-0.666450\pi$
$137$	−11.6909			−0.998818			−0.499409	+	0.866366i	$0.666450\pi$
$138$	−4.82301	+	6.76303i	−0.410562	+	0.575707i
$139$	12.5531			1.06474			0.532370	−	0.846511i	$-0.321301\pi$
$139$	12.5531			1.06474			0.532370	+	0.846511i	$0.321301\pi$
$140$	−0.160847	+	0.250283i	−0.0135940	+	0.0211527i
$141$	−2.30051	−	0.183646i	−0.193738	−	0.0154658i
$142$	−4.93312	−	10.8020i	−0.413978	−	0.906486i
$143$	5.51811	+	1.62026i	0.461448	+	0.135493i
$144$	2.29939	−	1.92686i	0.191616	−	0.160572i
$145$	0.548790	+	0.475530i	0.0455746	+	0.0394906i
$146$	3.19721	+	0.459689i	0.264603	+	0.0380442i
$147$	1.72860	−	0.109290i	0.142572	−	0.00901408i
$148$	3.58690	−	3.10806i	0.294841	−	0.255481i
$149$	−6.39045	+	4.10689i	−0.523526	+	0.336450i	−0.775565	−	0.631267i	$-0.782535\pi$
$149$	−6.39045	+	4.10689i	−0.523526	+	0.336450i	0.252039	+	0.967717i	$0.418899\pi$
$150$	2.90694	+	7.99486i	0.237351	+	0.652778i
$151$	−12.7192	−	14.6787i	−1.03507	−	1.19454i	−0.980599	−	0.196025i	$-0.937197\pi$
$151$	−12.7192	−	14.6787i	−1.03507	−	1.19454i	−0.0544756	−	0.998515i	$-0.517349\pi$
$152$	3.14102	−	0.922287i	0.254770	−	0.0748073i
$153$	3.92481	−	5.89086i	0.317302	−	0.476248i
$154$	1.26975	−	1.46536i	0.102319	−	0.118082i
$155$	0.603936	−	1.32244i	0.0485093	−	0.106221i
$156$	4.48848	+	2.49924i	0.359366	+	0.200099i
$157$	17.7841	−	8.12174i	1.41933	−	0.648185i	0.449792	−	0.893133i	$-0.351498\pi$
$157$	17.7841	−	8.12174i	1.41933	−	0.648185i	0.969536	+	0.244948i	$0.0787709\pi$
$158$	1.42675	+	9.92325i	0.113506	+	0.789452i
$159$	−2.48172	−	2.52305i	−0.196813	−	0.200091i
$160$			0.297512i			0.0235204i
$161$	−3.02540	+	3.72115i	−0.238435	+	0.293268i
$162$	6.99271	−	5.66586i	0.549399	−	0.445152i
$163$	−17.0369	−	10.9490i	−1.33443	−	0.857588i	−0.337932	−	0.941170i	$-0.609727\pi$
$163$	−17.0369	−	10.9490i	−1.33443	−	0.857588i	−0.996501	+	0.0835823i	$0.973364\pi$
$164$	−7.02768	+	1.01043i	−0.548770	+	0.0789012i
$165$	0.204314	+	0.978040i	0.0159059	+	0.0761403i
$166$	1.36355	−	4.64382i	0.105832	−	0.360430i
$167$	−12.0371	−	5.49716i	−0.931459	−	0.425383i	−0.108893	−	0.994053i	$-0.534731\pi$
$167$	−12.0371	−	5.49716i	−0.931459	−	0.425383i	−0.822565	+	0.568671i	$0.807458\pi$
$168$	1.39510	−	1.02649i	0.107635	−	0.0791956i
$169$	0.598070	−	4.15967i	0.0460054	−	0.319974i
$170$	0.197773	+	0.673552i	0.0151685	+	0.0516591i
$171$	9.46748	−	2.61083i	0.723996	−	0.199655i
$172$	4.03554	+	6.27942i	0.307707	+	0.478802i
$173$	6.74172	+	10.4903i	0.512564	+	0.797564i	0.997011	−	0.0772557i	$-0.0246158\pi$
$173$	6.74172	+	10.4903i	0.512564	+	0.797564i	−0.484448	+	0.874820i	$0.660979\pi$
$174$	−1.99532	−	3.72701i	−0.151265	−	0.282544i
$175$	1.38373	+	4.71254i	0.104600	+	0.356234i
$176$	0.275942	−	1.91922i	0.0207999	−	0.144667i
$177$	−12.4755	−	16.9554i	−0.937713	−	1.27444i
$178$	14.6152	+	6.67454i	1.09546	+	0.500278i
$179$	4.61789	−	15.7271i	0.345158	−	1.17550i	−0.585826	−	0.810437i	$-0.699230\pi$
$179$	4.61789	−	15.7271i	0.345158	−	1.17550i	0.930983	−	0.365062i	$-0.118952\pi$
$180$	−0.0147428	+	0.892413i	−0.00109887	+	0.0665165i
$181$	5.07360	−	0.729474i	0.377118	−	0.0542214i	0.0488502	−	0.998806i	$-0.484444\pi$
$181$	5.07360	−	0.729474i	0.377118	−	0.0542214i	0.328268	+	0.944585i	$0.393535\pi$
$182$	2.49522	+	1.60358i	0.184958	+	0.118865i
$183$	−1.07172	+	4.73787i	−0.0792238	+	0.350234i
$184$	−0.533318	+	4.76609i	−0.0393167	+	0.351360i
$185$			1.41203i			0.103815i
$186$	−6.03404	+	5.93518i	−0.442437	+	0.435188i
$187$	−0.651093	−	4.52845i	−0.0476127	−	0.331153i
$188$	−1.21202	+	0.553510i	−0.0883956	+	0.0403689i
$189$	4.23561	−	3.00992i	0.308095	−	0.218940i
$190$	−0.404590	+	0.885928i	−0.0293520	+	0.0642720i
$191$	3.57327	−	4.12377i	0.258553	−	0.298386i	−0.611601	−	0.791167i	$-0.709474\pi$
$191$	3.57327	−	4.12377i	0.258553	−	0.298386i	0.870154	+	0.492781i	$0.164020\pi$
$192$	0.618673	−	1.61779i	0.0446488	−	0.116754i
$193$	−7.14983	+	2.09938i	−0.514656	+	0.151117i	−0.528739	−	0.848784i	$-0.677335\pi$
$193$	−7.14983	+	2.09938i	−0.514656	+	0.151117i	0.0140835	+	0.999901i	$0.495517\pi$
$194$	−7.04525	−	8.13065i	−0.505820	−	0.583747i
$195$	−1.43642	+	0.522285i	−0.102864	+	0.0374016i
$196$	0.841254	−	0.540641i	0.0600895	−	0.0386172i
$197$	10.3877	−	9.00095i	0.740089	−	0.641291i	−0.200945	−	0.979603i	$-0.564401\pi$
$197$	10.3877	−	9.00095i	0.740089	−	0.641291i	0.941034	+	0.338311i	$0.109856\pi$
$198$	0.922818	−	5.74320i	0.0655818	−	0.408151i
$199$	−0.839814	−	0.120747i	−0.0595328	−	0.00855953i	0.112484	−	0.993654i	$-0.464119\pi$
$199$	−0.839814	−	0.120747i	−0.0595328	−	0.00855953i	−0.172017	+	0.985094i	$0.555028\pi$
$200$	3.71185	+	3.21634i	0.262468	+	0.227430i
$201$	2.37867	+	1.81150i	0.167778	+	0.127773i
$202$	3.31717	+	0.974009i	0.233395	+	0.0685311i
$203$	−1.01393	−	2.22019i	−0.0711638	−	0.155827i
$204$	0.325209	−	4.07387i	0.0227692	−	0.285228i
$205$	1.14200	−	1.77699i	0.0797610	−	0.124111i
$206$	−10.3715			−0.722619
$207$	−1.83591	+	14.2699i	−0.127605	+	0.991825i
$208$	2.96607			0.205660
$209$	3.43167	−	5.33978i	0.237374	−	0.369361i
$210$	−0.0410054	+	0.513671i	−0.00282964	+	0.0354467i
$211$	−4.18130	−	9.15578i	−0.287853	−	0.630310i	0.709366	−	0.704840i	$-0.248981\pi$
$211$	−4.18130	−	9.15578i	−0.287853	−	0.630310i	−0.997219	+	0.0745307i	$0.976254\pi$
$212$	−1.96049	−	0.575653i	−0.134647	−	0.0395360i
$213$	−16.3635	−	12.4617i	−1.12121	−	0.853865i
$214$	−8.56002	−	7.41730i	−0.585151	−	0.507036i
$215$	−2.19813	−	0.316044i	−0.149911	−	0.0215540i
$216$	1.93593	−	4.82205i	0.131724	−	0.328099i
$217$	−3.69303	+	3.20003i	−0.250699	+	0.217232i
$218$	−8.12848	+	5.22386i	−0.550530	+	0.353804i
$219$	5.25790	−	1.91178i	0.355296	−	0.129186i
$220$	0.377764	+	0.435963i	0.0254688	+	0.0293926i
$221$	6.71504	−	1.97171i	0.451702	−	0.132632i
$222$	2.93631	−	7.67826i	0.197072	−	0.515331i
$223$	2.36457	−	2.72886i	0.158343	−	0.182738i	−0.671034	−	0.741426i	$-0.734150\pi$
$223$	2.36457	−	2.72886i	0.158343	−	0.182738i	0.829378	+	0.558688i	$0.188695\pi$
$224$	0.415415	−	0.909632i	0.0277561	−	0.0607773i
$225$	10.9747	+	9.83164i	0.731644	+	0.655443i
$226$	−4.84934	+	2.21462i	−0.322573	+	0.147314i
$227$	−2.37583	−	16.5243i	−0.157689	−	1.09675i	−0.902877	−	0.429899i	$-0.858549\pi$
$227$	−2.37583	−	16.5243i	−0.157689	−	1.09675i	0.745188	−	0.666855i	$-0.232360\pi$
$228$	4.04233	−	3.97611i	0.267710	−	0.263324i
$229$		−	4.36383i		−	0.288370i	−0.989551	−	0.144185i	$-0.953944\pi$
$229$		−	4.36383i		−	0.288370i	0.989551	−	0.144185i	$-0.0460560\pi$
$230$	−0.967721	−	1.04848i	−0.0638096	−	0.0691349i
$231$	0.740952	−	3.27561i	0.0487511	−	0.215519i
$232$	−2.05330	−	1.31957i	−0.134806	−	0.0866342i
$233$	−25.9973	+	3.73784i	−1.70314	+	0.244874i	−0.924113	−	0.382119i	$-0.875194\pi$
$233$	−25.9973	+	3.73784i	−1.70314	+	0.244874i	−0.779025	+	0.626993i	$0.784285\pi$
$234$	8.89699	+	0.146980i	0.581614	+	0.00960839i
$235$	0.111682	−	0.380355i	0.00728535	−	0.0248116i
$236$	−11.0552	−	5.04874i	−0.719633	−	0.328645i
$237$	10.2909	+	13.9863i	0.668465	+	0.908510i
$238$	0.335796	−	2.33551i	0.0217664	−	0.151389i
$239$	3.34005	+	11.3752i	0.216050	+	0.735799i	0.994183	+	0.107700i	$0.0343485\pi$
$239$	3.34005	+	11.3752i	0.216050	+	0.735799i	−0.778133	+	0.628099i	$0.783833\pi$
$240$	0.243216	+	0.454297i	0.0156995	+	0.0293247i
$241$	2.07018	+	3.22126i	0.133352	+	0.207500i	0.901507	−	0.432764i	$-0.142462\pi$
$241$	2.07018	+	3.22126i	0.133352	+	0.207500i	−0.768155	+	0.640263i	$0.778825\pi$
$242$	3.91448	+	6.09106i	0.251633	+	0.391548i
$243$	6.04596	−	14.3682i	0.387848	−	0.921723i
$244$	0.790125	+	2.69092i	0.0505826	+	0.172268i
$245$	−0.0423403	+	0.294483i	−0.00270502	+	0.0188138i
$246$	−9.90516	+	7.28804i	−0.631530	+	0.464668i
$247$	8.83234	+	4.03360i	0.561988	+	0.256652i
$248$	−1.37671	+	4.68864i	−0.0874211	+	0.297729i
$249$	−1.71420	−	8.20576i	−0.108633	−	0.520019i
$250$	−2.91877	+	0.419655i	−0.184599	+	0.0265413i
$251$	13.0813	+	8.40684i	0.825684	+	0.530635i	0.883904	−	0.467669i	$-0.154906\pi$
$251$	13.0813	+	8.40684i	0.825684	+	0.530635i	−0.0582194	+	0.998304i	$0.518542\pi$
$252$	1.29115	−	2.70794i	0.0813349	−	0.170584i
$253$	5.27021	+	7.66123i	0.331335	+	0.481657i
$254$		−	13.9208i		−	0.873466i
$255$	0.852625	+	0.866827i	0.0533934	+	0.0542828i
$256$	−0.142315	−	0.989821i	−0.00889468	−	0.0618638i
$257$	−14.3460	+	6.55158i	−0.894876	+	0.408676i	−0.809122	−	0.587640i	$-0.800057\pi$
$257$	−14.3460	+	6.55158i	−0.894876	+	0.408676i	−0.0857537	+	0.996316i	$0.527330\pi$
$258$	11.2957	+	6.28956i	0.703237	+	0.391571i
$259$	1.97162	−	4.31724i	0.122510	−	0.268260i
$260$	−0.577875	+	0.666903i	−0.0358383	+	0.0413596i
$261$	−6.09366	−	4.05993i	−0.377188	−	0.251303i
$262$	7.91095	−	2.32286i	0.488740	−	0.143507i
$263$	7.01363	+	8.09416i	0.432479	+	0.499107i	0.929598	−	0.368575i	$-0.120154\pi$
$263$	7.01363	+	8.09416i	0.432479	+	0.499107i	−0.497119	+	0.867682i	$0.665609\pi$
$264$	−1.14760	−	3.15621i	−0.0706299	−	0.194251i
$265$	0.511392	−	0.328652i	0.0314146	−	0.0201889i
$266$	2.47404	−	2.14377i	0.151693	−	0.131443i
$267$	27.7737	−	1.75598i	1.69972	−	0.107464i
$268$	1.70866	+	0.245668i	0.104373	+	0.0150066i
$269$	5.17894	+	4.48757i	0.315765	+	0.273612i	0.798294	−	0.602268i	$-0.205736\pi$
$269$	5.17894	+	4.48757i	0.315765	+	0.273612i	−0.482529	+	0.875880i	$0.660282\pi$
$270$	0.707035	+	1.37476i	0.0430288	+	0.0836650i
$271$	18.7168	+	5.49573i	1.13696	+	0.333842i	0.795440	−	0.606032i	$-0.207240\pi$
$271$	18.7168	+	5.49573i	1.13696	+	0.333842i	0.341521	+	0.939874i	$0.389058\pi$
$272$	−0.980184	−	2.14630i	−0.0594324	−	0.130139i
$273$	5.12109	+	0.408807i	0.309942	+	0.0247421i
$274$	−6.32056	+	9.83498i	−0.381839	+	0.594153i
$275$	9.52315			0.574268
$276$	3.08190	+	7.71375i	0.185509	+	0.464313i
$277$	−25.7323			−1.54610			−0.773051	−	0.634344i	$-0.781270\pi$
$277$	−25.7323			−1.54610			−0.773051	+	0.634344i	$0.781270\pi$
$278$	6.78672	−	10.5603i	0.407041	−	0.633368i
$279$	−4.36190	+	13.9958i	−0.261140	+	0.837905i
$280$	0.123591	+	0.270626i	0.00738596	+	0.0161730i
$281$	8.76348	+	2.57319i	0.522785	+	0.153504i	0.532469	−	0.846450i	$-0.321264\pi$
$281$	8.76348	+	2.57319i	0.522785	+	0.153504i	−0.00968381	+	0.999953i	$0.503083\pi$
$282$	−1.39824	+	1.83603i	−0.0832642	+	0.109334i
$283$	11.0180	+	9.54717i	0.654953	+	0.567520i	0.917665	−	0.397354i	$-0.130071\pi$
$283$	11.0180	+	9.54717i	0.654953	+	0.567520i	−0.262712	+	0.964874i	$0.584617\pi$
$284$	−11.7543	−	1.69001i	−0.697489	−	0.100284i
$285$	0.106442	+	1.68355i	0.00630508	+	0.0997252i
$286$	4.34637	−	3.76615i	0.257006	−	0.222697i
$287$	−5.97286	+	3.83852i	−0.352567	+	0.226581i
$288$	−0.377837	−	2.97611i	−0.0222642	−	0.175369i
$289$	7.48677	+	8.64020i	0.440398	+	0.508247i
$290$	0.696739	−	0.204581i	0.0409139	−	0.0120134i
$291$	−17.4048	−	6.65593i	−1.02029	−	0.390177i
$292$	2.11526	−	2.44114i	0.123786	−	0.142857i
$293$	0.782278	−	1.71295i	0.0457011	−	0.100072i	−0.885404	−	0.464822i	$-0.846118\pi$
$293$	0.782278	−	1.71295i	0.0457011	−	0.100072i	0.931105	+	0.364750i	$0.118846\pi$
$294$	0.842611	−	1.51328i	0.0491421	−	0.0882561i
$295$	3.28905	−	1.50206i	0.191496	−	0.0874533i
$296$	−0.675447	−	4.69783i	−0.0392595	−	0.273056i
$297$	−3.28593	−	9.52420i	−0.190669	−	0.552650i
$298$			7.59634i			0.440044i
$299$	−10.4529	+	9.64778i	−0.604510	+	0.557946i
$300$	8.29732	+	1.87687i	0.479046	+	0.108361i
$301$	6.27942	+	4.03554i	0.361940	+	0.232605i
$302$	−19.2251	+	2.76415i	−1.10628	+	0.159059i
$303$	5.86153	−	1.22449i	0.336736	−	0.0703448i
$304$	0.922287	−	3.14102i	0.0528968	−	0.180150i
$305$	−0.758977	−	0.346613i	−0.0434589	−	0.0198470i
$306$	−2.83379	−	6.48660i	−0.161997	−	0.370814i
$307$	1.06240	−	7.38912i	0.0606341	−	0.421720i	−0.936784	−	0.349908i	$-0.886213\pi$
$307$	1.06240	−	7.38912i	0.0606341	−	0.421720i	0.997418	−	0.0718116i	$-0.0228780\pi$
$308$	−0.546267	−	1.86041i	−0.0311264	−	0.106007i
$309$	−15.8372	+	8.47872i	−0.900947	+	0.482338i
$310$	−0.785991	−	1.22303i	−0.0446413	−	0.0694632i
$311$	3.33127	+	5.18355i	0.188899	+	0.293932i	0.922766	−	0.385361i	$-0.125923\pi$
$311$	3.33127	+	5.18355i	0.188899	+	0.293932i	−0.733867	+	0.679293i	$0.762287\pi$
$312$	4.52915	−	2.42476i	0.256413	−	0.137275i
$313$	−6.08653	−	20.7288i	−0.344031	−	1.17166i	−0.931903	−	0.362708i	$-0.881852\pi$
$313$	−6.08653	−	20.7288i	−0.344031	−	1.17166i	0.587872	−	0.808954i	$-0.299966\pi$
$314$	2.78238	−	19.3519i	0.157019	−	1.09209i
$315$	0.357311	+	0.817892i	0.0201322	+	0.0460830i
$316$	9.11933	+	4.16466i	0.513002	+	0.234280i
$317$	−5.13574	+	17.4907i	−0.288452	+	0.982378i	0.680007	+	0.733206i	$0.261977\pi$
$317$	−5.13574	+	17.4907i	−0.288452	+	0.982378i	−0.968459	+	0.249172i	$0.919842\pi$
$318$	−3.46425	+	0.723687i	−0.194265	+	0.0405824i
$319$	−4.68435	+	0.673508i	−0.262273	+	0.0377092i
$320$	0.250283	+	0.160847i	0.0139912	+	0.00899161i
$321$	−19.1347	−	4.32832i	−1.06799	−	0.241583i
$322$	1.49478	+	4.55693i	0.0833009	+	0.253948i
$323$		−	7.72422i		−	0.429787i
$324$	−0.985878	−	8.94584i	−0.0547710	−	0.496991i
$325$	2.07321	+	14.4195i	0.115001	+	0.799851i
$326$	−18.4217	+	8.41290i	−1.02028	+	0.465948i
$327$	−8.14160	+	14.6218i	−0.450231	+	0.808587i
$328$	−2.94943	+	6.45834i	−0.162855	+	0.356602i
$329$	−0.872555	+	1.00698i	−0.0481055	+	0.0555167i
$330$	0.933241	+	0.356888i	0.0513732	+	0.0196461i
$331$	11.8649	−	3.48384i	0.652151	−	0.191489i	0.0611111	−	0.998131i	$-0.480536\pi$
$331$	11.8649	−	3.48384i	0.652151	−	0.191489i	0.591040	+	0.806642i	$0.298717\pi$
$332$	−3.16944	−	3.65773i	−0.173946	−	0.200744i
$333$	−1.79327	−	14.1250i	−0.0982704	−	0.774048i
$334$	−11.1322	+	7.15426i	−0.609130	+	0.391464i
$335$	−0.388132	+	0.336319i	−0.0212059	+	0.0183751i
$336$	−0.109290	−	1.72860i	−0.00596225	−	0.0943028i
$337$	21.5602	+	3.09989i	1.17446	+	0.168862i	0.701794	−	0.712380i	$-0.252383\pi$
$337$	21.5602	+	3.09989i	1.17446	+	0.168862i	0.472666	+	0.881242i	$0.343292\pi$
$338$	−3.17599	−	2.75201i	−0.172751	−	0.149690i
$339$	−5.59443	+	7.34603i	−0.303848	+	0.398981i
$340$	0.673552	+	0.197773i	0.0365285	+	0.0107257i
$341$	3.93600	+	8.61863i	0.213146	+	0.466725i
$342$	2.92213	−	9.37607i	0.158011	−	0.507000i
$343$	0.540641	−	0.841254i	0.0291919	−	0.0454234i
$344$	7.46437			0.402452
$345$	−2.33483	−	0.809910i	−0.125703	−	0.0436041i
$346$	12.4699			0.670384
$347$	3.29902	−	5.13338i	0.177101	−	0.275574i	−0.741343	−	0.671127i	$-0.765811\pi$
$347$	3.29902	−	5.13338i	0.177101	−	0.275574i	0.918443	+	0.395553i	$0.129447\pi$
$348$	−4.21411	−	0.336405i	−0.225900	−	0.0180332i
$349$	5.44303	+	11.9186i	0.291359	+	0.637987i	0.997544	−	0.0700401i	$-0.0223127\pi$
$349$	5.44303	+	11.9186i	0.291359	+	0.637987i	−0.706185	+	0.708027i	$0.749585\pi$
$350$	4.71254	+	1.38373i	0.251896	+	0.0739633i
$351$	13.7058	−	7.04885i	0.731559	−	0.376240i
$352$	−1.46536	−	1.26975i	−0.0781042	−	0.0676777i
$353$	7.39289	+	1.06294i	0.393484	+	0.0565744i	0.336217	−	0.941784i	$-0.390852\pi$
$353$	7.39289	+	1.06294i	0.393484	+	0.0565744i	0.0572667	+	0.998359i	$0.481761\pi$
$354$	−21.0085	+	1.32825i	−1.11659	+	0.0705959i
$355$	2.67006	−	2.31362i	0.141712	−	0.122794i
$356$	13.5165	−	8.68656i	0.716376	−	0.460387i
$357$	−1.39652	−	3.84082i	−0.0739119	−	0.203277i
$358$	−10.7339	−	12.3875i	−0.567302	−	0.654701i
$359$	−0.770662	+	0.226287i	−0.0406740	+	0.0119430i	−0.302006	−	0.953306i	$-0.597656\pi$
$359$	−0.770662	+	0.226287i	−0.0406740	+	0.0119430i	0.261332	+	0.965249i	$0.415838\pi$
$360$	0.742775	+	0.494877i	0.0391477	+	0.0260823i
$361$	−5.42446	+	6.26016i	−0.285498	+	0.329482i
$362$	2.12932	−	4.66257i	0.111915	−	0.245059i
$363$	10.9568	+	6.10089i	0.575083	+	0.320213i
$364$	2.69803	−	1.23215i	0.141415	−	0.0645822i
$365$	0.136763	+	0.951207i	0.00715850	+	0.0497884i
$366$	3.40634	+	3.46308i	0.178052	+	0.181018i
$367$			27.9965i			1.46140i	0.682697	+	0.730701i	$0.260807\pi$
$367$			27.9965i			1.46140i	−0.682697	+	0.730701i	$0.739193\pi$
$368$	3.72115	+	3.02540i	0.193979	+	0.157710i
$369$	−9.16710	+	19.2262i	−0.477220	+	1.00088i
$370$	1.18788	+	0.763402i	0.0617548	+	0.0396874i
$371$	−2.02246	+	0.290786i	−0.105001	+	0.0150969i
$372$	1.73074	+	8.28496i	0.0897348	+	0.429555i
$373$	−0.160308	+	0.545959i	−0.00830044	+	0.0282687i	−0.963539	−	0.267568i	$-0.913780\pi$
$373$	−0.160308	+	0.545959i	−0.00830044	+	0.0282687i	0.955239	+	0.295836i	$0.0955983\pi$
$374$	−4.16159	−	1.90053i	−0.215190	−	0.0982742i
$375$	−4.11386	+	3.02690i	−0.212439	+	0.156308i
$376$	−0.189624	+	1.31887i	−0.00977912	+	0.0680153i
$377$	−2.03959	−	6.94621i	−0.105044	−	0.357748i
$378$	−0.242166	−	5.19051i	−0.0124557	−	0.266971i
$379$	−15.3867	−	23.9422i	−0.790363	−	1.22983i	−0.969279	−	0.245964i	$-0.920895\pi$
$379$	−15.3867	−	23.9422i	−0.790363	−	1.22983i	0.178916	−	0.983864i	$-0.442741\pi$
$380$	0.526552	+	0.819332i	0.0270116	+	0.0420308i
$381$	−11.3802	−	21.2568i	−0.583026	−	1.08902i
$382$	−1.53728	−	5.23551i	−0.0786543	−	0.267872i
$383$	−2.42012	+	16.8323i	−0.123662	+	0.860090i	0.829689	+	0.558226i	$0.188518\pi$
$383$	−2.42012	+	16.8323i	−0.123662	+	0.860090i	−0.953351	+	0.301864i	$0.902391\pi$
$384$	−1.02649	−	1.39510i	−0.0523829	−	0.0711936i
$385$	0.524732	+	0.239637i	0.0267428	+	0.0122130i
$386$	−2.09938	+	7.14983i	−0.106856	+	0.363917i
$387$	22.3900	+	0.369888i	1.13815	+	0.0188025i
$388$	−10.6489	+	1.53108i	−0.540616	+	0.0777288i
$389$	27.4094	+	17.6149i	1.38971	+	0.893112i	0.999617	−	0.0276634i	$-0.00880666\pi$
$389$	27.4094	+	17.6149i	1.38971	+	0.893112i	0.390093	+	0.920776i	$0.372443\pi$
$390$	−0.337215	+	1.49077i	−0.0170756	+	0.0754879i
$391$	10.4357	+	4.37569i	0.527754	+	0.221288i
$392$		−	1.00000i		−	0.0505076i
$393$	10.1810	−	10.0142i	0.513563	−	0.505149i
$394$	−1.95609	−	13.6049i	−0.0985466	−	0.685406i
$395$	−2.71311	+	1.23903i	−0.136511	+	0.0623426i
$396$	−4.33257	−	3.88133i	−0.217720	−	0.195044i
$397$	9.89262	−	21.6618i	0.496497	−	1.08718i	−0.481096	−	0.876668i	$-0.659761\pi$
$397$	9.89262	−	21.6618i	0.496497	−	1.08718i	0.977592	−	0.210508i	$-0.0675117\pi$
$398$	−0.555616	+	0.641216i	−0.0278505	+	0.0321412i
$399$	2.02530	−	5.29604i	0.101392	−	0.265134i
$400$	4.71254	−	1.38373i	0.235627	−	0.0691863i
$401$	11.6931	+	13.4946i	0.583925	+	0.673886i	0.968444	−	0.249232i	$-0.0801780\pi$
$401$	11.6931	+	13.4946i	0.583925	+	0.673886i	−0.384519	+	0.923117i	$0.625633\pi$
$402$	2.80994	−	1.02170i	0.140147	−	0.0509575i
$403$	−12.1931	+	7.83601i	−0.607380	+	0.390339i
$404$	2.61279	−	2.26399i	0.129991	−	0.112638i
$405$	2.20350	+	1.52124i	0.109493	+	0.0755909i
$406$	−2.41591	−	0.347356i	−0.119900	−	0.0172390i
$407$	−6.95483	−	6.02639i	−0.344738	−	0.298717i
$408$	−3.25133	−	2.47608i	−0.160965	−	0.122584i
$409$	−5.37776	−	1.57905i	−0.265913	−	0.0780792i	0.146058	−	0.989276i	$-0.453341\pi$
$409$	−5.37776	−	1.57905i	−0.265913	−	0.0780792i	−0.411971	+	0.911197i	$0.635160\pi$
$410$	−0.877488	−	1.92143i	−0.0433360	−	0.0948927i
$411$	−1.61133	+	20.1850i	−0.0794809	+	0.995651i
$412$	−5.60727	+	8.72508i	−0.276250	+	0.429854i
$413$	−12.1535			−0.598034
$414$	11.0120	+	9.25935i	0.541211	+	0.455072i
$415$	1.43992			0.0706827
$416$	1.60358	−	2.49522i	0.0786218	−	0.122338i
$417$	1.73017	−	21.6737i	0.0847267	−	1.06136i
$418$	−2.63681	−	5.77381i	−0.128971	−	0.282406i
$419$	28.8795	+	8.47978i	1.41085	+	0.414264i	0.896397	−	0.443252i	$-0.146175\pi$
$419$	28.8795	+	8.47978i	1.41085	+	0.414264i	0.514457	+	0.857516i	$0.327993\pi$
$420$	0.409958	+	0.312207i	0.0200039	+	0.0152342i
$421$	−7.33180	−	6.35304i	−0.357330	−	0.309628i	0.457633	−	0.889141i	$-0.348697\pi$
$421$	−7.33180	−	6.35304i	−0.357330	−	0.309628i	−0.814963	+	0.579513i	$0.803243\pi$
$422$	−9.96291	−	1.43245i	−0.484987	−	0.0697306i
$423$	−0.634150	+	3.94666i	−0.0308334	+	0.191893i
$424$	−1.54419	+	1.33805i	−0.0749926	+	0.0649815i
$425$	9.74912	−	6.26538i	0.472902	−	0.303915i
$426$	−19.3302	+	7.02850i	−0.936553	+	0.340532i
$427$	1.83657	+	2.11952i	0.0888779	+	0.102571i
$428$	−10.8677	+	3.19105i	−0.525312	+	0.154245i
$429$	3.55803	−	9.30403i	0.171783	−	0.449203i
$430$	−1.45427	+	1.67832i	−0.0701312	+	0.0809357i
$431$	−9.52572	+	20.8584i	−0.458838	+	1.00471i	0.528913	+	0.848676i	$0.322600\pi$
$431$	−9.52572	+	20.8584i	−0.458838	+	1.00471i	−0.987751	+	0.156038i	$0.950128\pi$
$432$	−3.00992	−	4.23561i	−0.144815	−	0.203786i
$433$	−9.22098	+	4.21108i	−0.443132	+	0.202372i	−0.624469	−	0.781049i	$-0.714685\pi$
$433$	−9.22098	+	4.21108i	−0.443132	+	0.202372i	0.181337	+	0.983421i	$0.441957\pi$
$434$	0.695433	+	4.83684i	0.0333818	+	0.232176i
$435$	0.896668	−	0.881977i	0.0429919	−	0.0422876i
$436$			9.66234i			0.462742i
$437$	6.96655	+	14.0695i	0.333255	+	0.673033i
$438$	1.23435	−	5.45681i	0.0589793	−	0.260736i
$439$	−31.7573	−	20.4092i	−1.51569	−	0.974077i	−0.992551	−	0.121832i	$-0.961123\pi$
$439$	−31.7573	−	20.4092i	−1.51569	−	0.974077i	−0.523143	−	0.852245i	$-0.675241\pi$
$440$	0.570990	−	0.0820959i	0.0272209	−	0.00391377i
$441$	0.0495539	−	2.99959i	0.00235971	−	0.142838i
$442$	1.97171	−	6.71504i	0.0937848	−	0.319402i
$443$	−19.5456	−	8.92618i	−0.928640	−	0.424095i	−0.107101	−	0.994248i	$-0.534157\pi$
$443$	−19.5456	−	8.92618i	−0.928640	−	0.424095i	−0.821539	+	0.570153i	$0.806884\pi$
$444$	−4.87188	−	6.62136i	−0.231209	−	0.314236i
$445$	−0.680288	+	4.73151i	−0.0322487	+	0.224295i
$446$	−1.01728	−	3.46454i	−0.0481696	−	0.164051i
$447$	6.21001	+	11.5995i	0.293723	+	0.548639i
$448$	−0.540641	−	0.841254i	−0.0255429	−	0.0397455i
$449$	−4.18954	−	6.51906i	−0.197717	−	0.307653i	0.728212	−	0.685352i	$-0.240352\pi$
$449$	−4.18954	−	6.51906i	−0.197717	−	0.307653i	−0.925928	+	0.377699i	$0.876715\pi$
$450$	14.2043	−	3.91709i	0.669595	−	0.184653i
$451$	3.87847	+	13.2088i	0.182630	+	0.621980i
$452$	−0.758694	+	5.27683i	−0.0356860	+	0.248201i
$453$	−27.0968	+	19.9373i	−1.27312	+	0.936737i
$454$	−15.1856	−	6.93501i	−0.712694	−	0.325476i
$455$	−0.248612	+	0.846694i	−0.0116551	+	0.0396936i
$456$	−1.15946	−	5.55027i	−0.0542968	−	0.259915i
$457$	−26.9773	+	3.87875i	−1.26195	+	0.181440i	−0.740624	−	0.671920i	$-0.765470\pi$
$457$	−26.9773	+	3.87875i	−1.26195	+	0.181440i	−0.521322	+	0.853360i	$0.674561\pi$
$458$	−3.67109	−	2.35927i	−0.171539	−	0.110241i
$459$	−9.62997	−	7.58835i	−0.449488	−	0.354194i
$460$	−1.40523	+	0.247246i	−0.0655192	+	0.0115279i
$461$			30.7034i			1.43000i	0.699124	+	0.715000i	$0.253573\pi$
$461$			30.7034i			1.43000i	−0.699124	+	0.715000i	$0.746427\pi$
$462$	−2.35503	−	2.39426i	−0.109566	−	0.111391i
$463$	2.00877	+	13.9713i	0.0933553	+	0.649301i	0.981744	+	0.190208i	$0.0609163\pi$
$463$	2.00877	+	13.9713i	0.0933553	+	0.649301i	−0.888388	+	0.459093i	$0.848175\pi$
$464$	−2.22019	+	1.01393i	−0.103070	+	0.0470704i
$465$	−2.20002	−	1.22500i	−0.102024	−	0.0568080i
$466$	−10.9107	+	23.8911i	−0.505429	+	1.10673i
$467$	20.1537	−	23.2586i	0.932601	−	1.07628i	−0.0643252	−	0.997929i	$-0.520489\pi$
$467$	20.1537	−	23.2586i	0.932601	−	1.07628i	0.996926	−	0.0783497i	$-0.0249651\pi$
$468$	4.93372	−	7.40516i	0.228061	−	0.342304i
$469$	1.65630	−	0.486335i	0.0764810	−	0.0224569i
$470$	−0.259595	−	0.299589i	−0.0119742	−	0.0138190i
$471$	−11.5715	−	31.8247i	−0.533187	−	1.46641i
$472$	−10.2242	+	6.57068i	−0.470606	+	0.302440i
$473$	10.9380	−	9.47784i	0.502931	−	0.435792i
$474$	17.3297	−	1.09566i	0.795980	−	0.0503255i
$475$	15.9147	+	2.28819i	0.730217	+	0.104989i
$476$	−1.78321	−	1.54516i	−0.0817335	−	0.0708224i
$477$	−4.69825	+	3.93708i	−0.215118	+	0.180267i
$478$	11.3752	+	3.34005i	0.520288	+	0.152770i
$479$	11.9483	+	26.1632i	0.545933	+	1.19543i	0.958656	+	0.284569i	$0.0918505\pi$
$479$	11.9483	+	26.1632i	0.545933	+	1.19543i	−0.412723	+	0.910857i	$0.635422\pi$
$480$	0.513671	+	0.0410054i	0.0234458	+	0.00187163i
$481$	7.61081	−	11.8426i	0.347023	−	0.539978i
$482$	3.82912			0.174412
$483$	6.00780	+	5.73640i	0.273365	+	0.261015i
$484$	7.24045			0.329112
$485$	1.73045	−	2.69264i	0.0785759	−	0.122266i
$486$	−8.81865	−	12.8542i	−0.400022	−	0.583080i
$487$	14.3090	+	31.3324i	0.648403	+	1.41980i	0.892945	+	0.450166i	$0.148635\pi$
$487$	14.3090	+	31.3324i	0.648403	+	1.41980i	−0.244542	+	0.969639i	$0.578638\pi$
$488$	2.69092	+	0.790125i	0.121812	+	0.0357673i
$489$	−21.2522	+	27.9061i	−0.961056	+	1.26196i
$490$	0.224844	+	0.194829i	0.0101574	+	0.00880146i
$491$	10.0736	+	1.44837i	0.454616	+	0.0653639i	0.365819	−	0.930686i	$-0.380789\pi$
$491$	10.0736	+	1.44837i	0.454616	+	0.0653639i	0.0887966	+	0.996050i	$0.471698\pi$
$492$	0.775952	+	12.2730i	0.0349826	+	0.553308i
$493$	−4.35239	+	3.77137i	−0.196022	+	0.169854i
$494$	8.16840	−	5.24951i	0.367514	−	0.236187i
$495$	1.71680	−	0.217959i	0.0771646	−	0.00979655i
$496$	3.20003	+	3.69303i	0.143686	+	0.165822i
$497$	−11.3941	+	3.34562i	−0.511097	+	0.150071i
$498$	−7.82989	−	2.99429i	−0.350866	−	0.134178i
$499$	−8.54147	+	9.85739i	−0.382369	+	0.441277i	−0.914009	−	0.405693i	$-0.867030\pi$
$499$	−8.54147	+	9.85739i	−0.382369	+	0.441277i	0.531641	+	0.846970i	$0.321576\pi$
$500$	−1.22497	+	2.68231i	−0.0547822	+	0.119956i
$501$	−11.1502	+	20.0251i	−0.498155	+	0.894655i
$502$	14.1446	−	6.45961i	0.631303	−	0.288306i
$503$	−0.216861	−	1.50830i	−0.00966934	−	0.0672518i	0.984415	−	0.175859i	$-0.0562701\pi$
$503$	−0.216861	−	1.50830i	−0.00966934	−	0.0672518i	−0.994085	+	0.108607i	$0.965361\pi$
$504$	−1.58001	−	2.55021i	−0.0703794	−	0.113595i
$505$			1.02856i			0.0457703i
$506$	9.29433	−	0.291610i	0.413183	−	0.0129637i
$507$	−7.09948	−	1.60592i	−0.315299	−	0.0713214i
$508$	−11.7109	−	7.52613i	−0.519587	−	0.333918i
$509$	−37.8220	+	5.43798i	−1.67643	+	0.241034i	−0.913906	−	0.405926i	$-0.866949\pi$
$509$	−37.8220	+	5.43798i	−1.67643	+	0.241034i	−0.762524	+	0.646960i	$0.776040\pi$
$510$	1.19019	−	0.248632i	0.0527023	−	0.0110096i
$511$	0.910021	−	3.09925i	0.0402569	−	0.137103i
$512$	−0.909632	−	0.415415i	−0.0402004	−	0.0183589i
$513$	−3.20287	−	16.7060i	−0.141410	−	0.737588i
$514$	−2.24447	+	15.6106i	−0.0989994	+	0.688556i
$515$	−0.869328	−	2.96066i	−0.0383072	−	0.130462i
$516$	11.3980	−	6.10212i	0.501769	−	0.268631i
$517$	1.39675	+	2.17339i	0.0614292	+	0.0955857i
$518$	−2.56596	−	3.99271i	−0.112742	−	0.175430i
$519$	19.0414	−	10.1941i	0.835823	−	0.447472i
$520$	0.248612	+	0.846694i	0.0109024	+	0.0371300i
$521$	6.38721	−	44.4240i	0.279829	−	1.94625i	−0.0411208	−	0.999154i	$-0.513093\pi$
$521$	6.38721	−	44.4240i	0.279829	−	1.94625i	0.320949	−	0.947096i	$-0.395998\pi$
$522$	−6.70991	+	2.93135i	−0.293685	+	0.128302i
$523$	−15.9985	−	7.30626i	−0.699565	−	0.319480i	0.0336922	−	0.999432i	$-0.489273\pi$
$523$	−15.9985	−	7.30626i	−0.699565	−	0.319480i	−0.733257	+	0.679952i	$0.762001\pi$
$524$	2.32286	−	7.91095i	0.101475	−	0.345591i
$525$	8.32719	−	1.73956i	0.363428	−	0.0759208i
$526$	10.6011	−	1.52421i	0.462230	−	0.0664586i
$527$	9.69968	+	6.23360i	0.422525	+	0.271540i
$528$	−3.27561	−	0.740952i	−0.142553	−	0.0322458i
$529$	−22.9548	+	1.44183i	−0.998033	+	0.0626884i
$530$		−	0.607893i		−	0.0264052i
$531$	−30.9939	+	19.2027i	−1.34502	+	0.833326i
$532$	−0.465886	−	3.24030i	−0.0201987	−	0.140485i
$533$	−19.1559	+	8.74819i	−0.829733	+	0.378926i
$534$	13.5384	−	24.3140i	0.585862	−	1.05217i
$535$	1.39985	−	3.06525i	0.0605210	−	0.132522i
$536$	1.13044	−	1.30460i	0.0488275	−	0.0563500i
$537$	−26.5173	−	10.1407i	−1.14431	−	0.437603i
$538$	6.57513	−	1.93063i	0.283474	−	0.0832355i
$539$	−1.26975	−	1.46536i	−0.0546918	−	0.0631177i
$540$	1.53877	+	0.148454i	0.0662181	+	0.00638843i
$541$	9.13776	−	5.87248i	0.392863	−	0.252478i	−0.329265	−	0.944238i	$-0.606801\pi$
$541$	9.13776	−	5.87248i	0.392863	−	0.252478i	0.722127	+	0.691760i	$0.243164\pi$
$542$	14.7423	−	12.7743i	0.633238	−	0.548704i
$543$	−0.560195	−	8.86041i	−0.0240403	−	0.380237i
$544$	−2.33551	−	0.335796i	−0.100134	−	0.0143971i
$545$	−2.17252	−	1.88250i	−0.0930606	−	0.0806375i
$546$	3.11258	−	4.08712i	0.133206	−	0.174912i
$547$	−6.91913	−	2.03164i	−0.295841	−	0.0868666i	0.130444	−	0.991456i	$-0.458360\pi$
$547$	−6.91913	−	2.03164i	−0.295841	−	0.0868666i	−0.426285	+	0.904589i	$0.640178\pi$
$548$	4.85656	+	10.6344i	0.207462	+	0.454279i
$549$	8.03250	+	2.50340i	0.342819	+	0.106842i
$550$	5.14860	−	8.01139i	0.219537	−	0.341607i
$551$	−7.99013			−0.340391
$552$	8.15542	+	1.57770i	0.347118	+	0.0671515i
$553$	10.0253			0.426319
$554$	−13.9119	+	21.6474i	−0.591060	+	0.919708i
$555$	2.43796	+	0.194617i	0.103485	+	0.00826105i
$556$	−5.21475	−	11.4187i	−0.221155	−	0.484261i
$557$	6.75897	+	1.98461i	0.286387	+	0.0840907i	0.421771	−	0.906702i	$-0.361409\pi$
$557$	6.75897	+	1.98461i	0.286387	+	0.0840907i	−0.135384	+	0.990793i	$0.543227\pi$
$558$	9.41577	+	11.2362i	0.398601	+	0.475664i
$559$	16.7322	+	14.4985i	0.707695	+	0.613221i
$560$	0.294483	+	0.0423403i	0.0124442	+	0.00178920i
$561$	−7.90838	+	0.500003i	−0.333892	+	0.0211102i
$562$	6.90260	−	5.98113i	0.291168	−	0.252299i
$563$	20.0225	−	12.8677i	0.843847	−	0.542307i	−0.0458032	−	0.998950i	$-0.514585\pi$
$563$	20.0225	−	12.8677i	0.843847	−	0.542307i	0.889650	+	0.456643i	$0.150948\pi$
$564$	0.788618	+	2.16891i	0.0332068	+	0.0913276i
$565$	−1.03865	−	1.19867i	−0.0436963	−	0.0504283i
$566$	13.9884	−	4.10736i	0.587976	−	0.172645i
$567$	−4.61302	−	7.72787i	−0.193729	−	0.324540i
$568$	−7.77657	+	8.97464i	−0.326298	+	0.376568i
$569$	−11.4107	+	24.9859i	−0.478361	+	1.04746i	0.504550	+	0.863383i	$0.331658\pi$
$569$	−11.4107	+	24.9859i	−0.478361	+	1.04746i	−0.982911	+	0.184082i	$0.941069\pi$
$570$	1.47384	+	0.820654i	0.0617325	+	0.0343734i
$571$	−35.8428	+	16.3689i	−1.49997	+	0.685016i	−0.985058	−	0.172224i	$-0.944905\pi$
$571$	−35.8428	+	16.3689i	−1.49997	+	0.685016i	−0.514917	+	0.857240i	$0.672177\pi$
$572$	−0.818463	−	5.69253i	−0.0342217	−	0.238017i
$573$	−6.62744	−	6.73783i	−0.276865	−	0.281477i
$574$			7.09995i			0.296346i
$575$	−12.1069	+	20.2051i	−0.504894	+	0.842609i
$576$	−2.70794	−	1.29115i	−0.112831	−	0.0537979i
$577$	8.80512	+	5.65871i	0.366562	+	0.235575i	0.710935	−	0.703258i	$-0.248272\pi$
$577$	8.80512	+	5.65871i	0.366562	+	0.235575i	−0.344373	+	0.938833i	$0.611908\pi$
$578$	11.3163	−	1.62703i	0.470694	−	0.0676756i
$579$	2.63925	+	12.6339i	0.109684	+	0.525049i
$580$	0.204581	−	0.696739i	0.00849477	−	0.0289305i
$581$	−4.40250	−	2.01055i	−0.182646	−	0.0834118i
$582$	−15.0091	+	11.0434i	−0.622146	+	0.457764i
$583$	−0.563821	+	3.92146i	−0.0233511	+	0.162410i
$584$	−0.910021	−	3.09925i	−0.0376569	−	0.128248i
$585$	0.703777	+	2.55206i	0.0290976	+	0.105515i
$586$	−1.01809	−	1.58418i	−0.0420570	−	0.0654420i
$587$	13.1292	+	20.4295i	0.541901	+	0.843214i	0.998930	−	0.0462371i	$-0.0147230\pi$
$587$	13.1292	+	20.4295i	0.541901	+	0.843214i	−0.457029	+	0.889452i	$0.651087\pi$
$588$	−0.817500	−	1.52699i	−0.0337131	−	0.0629719i
$589$	4.50683	+	15.3488i	0.185701	+	0.632438i
$590$	0.514583	−	3.57900i	0.0211850	−	0.147345i
$591$	−14.1090	−	19.1755i	−0.580365	−	0.788773i
$592$	−4.31724	−	1.97162i	−0.177438	−	0.0810330i
$593$	−0.443367	+	1.50997i	−0.0182069	+	0.0620070i	−0.968095	−	0.250582i	$-0.919378\pi$
$593$	−0.443367	+	1.50997i	−0.0182069	+	0.0620070i	0.949889	+	0.312589i	$0.101196\pi$
$594$	−9.78878	−	2.38487i	−0.401638	−	0.0978525i
$595$	0.694842	−	0.0999032i	0.0284857	−	0.00409563i
$596$	6.39045	+	4.10689i	0.261763	+	0.168225i
$597$	−0.324226	+	1.43335i	−0.0132697	+	0.0586629i
$598$	2.46494	+	14.0096i	0.100799	+	0.572894i
$599$		−	8.77393i		−	0.358493i	−0.983804	−	0.179247i	$-0.942634\pi$
$599$		−	8.77393i		−	0.358493i	0.983804	−	0.179247i	$-0.0573660\pi$
$600$	6.06480	−	5.96543i	0.247594	−	0.243538i
$601$	1.94394	+	13.5204i	0.0792948	+	0.551507i	0.990282	+	0.139073i	$0.0444123\pi$
$601$	1.94394	+	13.5204i	0.0792948	+	0.551507i	−0.910987	+	0.412434i	$0.864679\pi$
$602$	6.78983	−	3.10081i	0.276733	−	0.126380i
$603$	3.45550	−	3.85724i	0.140719	−	0.157079i
$604$	−8.06851	+	17.6676i	−0.328303	+	0.718883i
$605$	−1.41065	+	1.62797i	−0.0573510	+	0.0661866i
$606$	2.13888	−	5.59304i	0.0868862	−	0.227202i
$607$	8.16679	−	2.39798i	0.331480	−	0.0973312i	−0.111758	−	0.993735i	$-0.535648\pi$
$607$	8.16679	−	2.39798i	0.331480	−	0.0973312i	0.443237	+	0.896404i	$0.353830\pi$
$608$	−2.14377	−	2.47404i	−0.0869413	−	0.100336i
$609$	−3.97304	+	1.44460i	−0.160996	+	0.0585382i
$610$	−0.701923	+	0.451099i	−0.0284200	+	0.0182644i
$611$	−2.98678	+	2.58806i	−0.120832	+	0.104702i
$612$	−6.98894	−	1.12298i	−0.282511	−	0.0453940i
$613$	15.1364	+	2.17629i	0.611354	+	0.0878995i	0.441036	−	0.897490i	$-0.354611\pi$
$613$	15.1364	+	2.17629i	0.611354	+	0.0878995i	0.170319	+	0.985389i	$0.445520\pi$
$614$	−5.64175	−	4.88861i	−0.227683	−	0.197288i
$615$	−2.91068	−	2.21666i	−0.117370	−	0.0893842i
$616$	−1.86041	−	0.546267i	−0.0749582	−	0.0220097i
$617$	−8.66959	−	18.9838i	−0.349024	−	0.764257i	−0.999987	−	0.00514692i	$-0.998362\pi$
$617$	−8.66959	−	18.9838i	−0.349024	−	0.764257i	0.650962	−	0.759110i	$-0.274366\pi$
$618$	−1.42949	+	17.9070i	−0.0575024	+	0.720327i
$619$	−4.50367	+	7.00785i	−0.181018	+	0.281669i	−0.919890	−	0.392176i	$-0.871722\pi$
$619$	−4.50367	+	7.00785i	−0.181018	+	0.281669i	0.738872	+	0.673846i	$0.235359\pi$
$620$	−1.45381			−0.0583866
$621$	24.3847	+	5.13660i	0.978526	+	0.206125i
$622$	6.16170			0.247062
$623$	8.68656	−	13.5165i	0.348020	−	0.541529i
$624$	0.408807	−	5.12109i	0.0163654	−	0.205008i
$625$	9.83708	+	21.5402i	0.393483	+	0.861608i
$626$	−20.7288	−	6.08653i	−0.828490	−	0.243267i
$627$	−8.74647	−	6.66095i	−0.349300	−	0.266013i
$628$	−14.7756	−	12.8031i	−0.589610	−	0.510900i
$629$	−11.0847	−	1.59374i	−0.441975	−	0.0635464i
$630$	0.881231	+	0.141596i	0.0351091	+	0.00564133i
$631$	7.40799	−	6.41906i	0.294908	−	0.255539i	−0.494822	−	0.868995i	$-0.664767\pi$
$631$	7.40799	−	6.41906i	0.294908	−	0.255539i	0.789729	+	0.613456i	$0.210221\pi$
$632$	8.43382	−	5.42008i	0.335479	−	0.215599i
$633$	−16.3843	+	5.95734i	−0.651217	+	0.236783i
$634$	11.9376	+	13.7767i	0.474101	+	0.547141i
$635$	3.97382	−	1.16682i	0.157696	−	0.0463038i
$636$	−1.26411	+	3.30556i	−0.0501252	+	0.131074i
$637$	1.94236	−	2.24160i	0.0769592	−	0.0888156i
$638$	−1.96596	+	4.30485i	−0.0778331	+	0.170431i
$639$	−23.7713	+	26.5349i	−0.940377	+	1.04970i
$640$	0.270626	−	0.123591i	0.0106974	−	0.00488535i
$641$	1.64767	+	11.4598i	0.0650789	+	0.452634i	0.996141	+	0.0877719i	$0.0279746\pi$
$641$	1.64767	+	11.4598i	0.0650789	+	0.452634i	−0.931062	+	0.364862i	$0.881116\pi$
$642$	−13.9862	+	13.7571i	−0.551992	+	0.542948i
$643$			24.7682i			0.976762i	0.872631	+	0.488381i	$0.162412\pi$
$643$			24.7682i			0.976762i	−0.872631	+	0.488381i	$0.837588\pi$
$644$	4.64167	+	1.20617i	0.182908	+	0.0475299i
$645$	−0.848631	+	3.75164i	−0.0334148	+	0.147721i
$646$	−6.49802	−	4.17603i	−0.255661	−	0.164304i
$647$	19.5895	−	2.81655i	0.770144	−	0.110730i	0.253968	−	0.967213i	$-0.418264\pi$
$647$	19.5895	−	2.81655i	0.770144	−	0.110730i	0.516176	+	0.856482i	$0.327355\pi$
$648$	−8.05872	−	4.00711i	−0.316577	−	0.157414i
$649$	−6.63905	+	22.6105i	−0.260606	+	0.887541i
$650$	13.2513	+	6.05168i	0.519760	+	0.237367i
$651$	5.01603	+	6.81729i	0.196594	+	0.267190i
$652$	−2.88213	+	20.0457i	−0.112873	+	0.785049i
$653$	9.98868	+	34.0183i	0.390887	+	1.33124i	0.886513	+	0.462703i	$0.153120\pi$
$653$	9.98868	+	34.0183i	0.390887	+	1.33124i	−0.495626	+	0.868536i	$0.665061\pi$
$654$	7.89896	+	14.7543i	0.308874	+	0.576938i
$655$	1.32617	+	2.06356i	0.0518178	+	0.0806300i
$656$	3.83852	+	5.97286i	0.149869	+	0.233201i
$657$	−2.57611	−	9.34156i	−0.100504	−	0.364449i
$658$	0.375388	+	1.27845i	0.0146342	+	0.0498394i
$659$	6.20936	−	43.1871i	0.241882	−	1.68233i	−0.400776	−	0.916176i	$-0.631259\pi$
$659$	6.20936	−	43.1871i	0.241882	−	1.68233i	0.642658	−	0.766153i	$-0.277832\pi$
$660$	0.804782	−	0.592144i	0.0313261	−	0.0230492i
$661$	9.17474	+	4.18996i	0.356856	+	0.162971i	0.585773	−	0.810475i	$-0.300791\pi$
$661$	9.17474	+	4.18996i	0.356856	+	0.162971i	−0.228917	+	0.973446i	$0.573518\pi$
$662$	3.48384	−	11.8649i	0.135403	−	0.461141i
$663$	−2.47876	−	11.8657i	−0.0962669	−	0.460824i
$664$	−4.79061	+	0.688785i	−0.185912	+	0.0267300i
$665$	0.819332	+	0.526552i	0.0317723	+	0.0204188i
$666$	−12.8523	−	6.12799i	−0.498015	−	0.237455i
$667$	4.52633	−	10.7949i	0.175260	−	0.417981i
$668$			13.2329i			0.511997i
$669$	−4.38563	−	4.45868i	−0.169558	−	0.172383i
$670$	0.0730890	+	0.508345i	0.00282368	+	0.0196391i
$671$	4.94643	−	2.25896i	0.190955	−	0.0872062i
$672$	−1.51328	−	0.842611i	−0.0583759	−	0.0325044i
$673$	8.49689	−	18.6056i	0.327531	−	0.717193i	−0.672200	−	0.740369i	$-0.734651\pi$
$673$	8.49689	−	18.6056i	0.327531	−	0.717193i	0.999731	+	0.0231764i	$0.00737794\pi$
$674$	14.2641	−	16.4617i	0.549434	−	0.634080i
$675$	18.4875	−	17.5933i	0.711585	−	0.677167i
$676$	−4.03221	+	1.18396i	−0.155085	+	0.0455371i
$677$	−3.66883	−	4.23406i	−0.141005	−	0.162728i	0.680855	−	0.732419i	$-0.261609\pi$
$677$	−3.66883	−	4.23406i	−0.141005	−	0.162728i	−0.821859	+	0.569690i	$0.807063\pi$
$678$	3.15529	+	8.67790i	0.121178	+	0.333273i
$679$	−9.05054	+	5.81643i	−0.347328	+	0.223214i
$680$	0.530527	−	0.459704i	0.0203448	−	0.0176288i
$681$	−28.8575	+	1.82450i	−1.10582	+	0.0699152i
$682$	9.37842	+	1.34841i	0.359118	+	0.0516334i
$683$	−37.5293	−	32.5193i	−1.43602	−	1.24432i	−0.922365	−	0.386319i	$-0.873746\pi$
$683$	−37.5293	−	32.5193i	−1.43602	−	1.24432i	−0.513653	−	0.857998i	$-0.671708\pi$
$684$	−6.30783	−	7.52734i	−0.241186	−	0.287815i
$685$	−3.33728	−	0.979913i	−0.127511	−	0.0374406i
$686$	−0.415415	−	0.909632i	−0.0158606	−	0.0347299i
$687$	−7.53441	−	0.601458i	−0.287456	−	0.0229470i
$688$	4.03554	−	6.27942i	0.153854	−	0.239401i
$689$	−6.06045			−0.230885
$690$	−1.94365	+	1.52632i	−0.0739933	+	0.0581059i
$691$	23.2945			0.886164			0.443082	−	0.896481i	$-0.353885\pi$
$691$	23.2945			0.886164			0.443082	+	0.896481i	$0.353885\pi$
$692$	6.74172	−	10.4903i	0.256282	−	0.398782i
$693$	−5.55341	−	1.73077i	−0.210957	−	0.0657464i
$694$	−2.53489	−	5.55063i	−0.0962229	−	0.210699i
$695$	3.58341	+	1.05219i	0.135927	+	0.0399117i
$696$	−2.56132	+	3.36326i	−0.0970867	+	0.127484i
$697$	12.6607	+	10.9706i	0.479559	+	0.415540i
$698$	12.9693	+	1.86470i	0.490894	+	0.0705799i
$699$	2.87046	+	45.4010i	0.108571	+	1.71722i
$700$	3.71185	−	3.21634i	0.140295	−	0.121566i
$701$	−19.0761	+	12.2594i	−0.720493	+	0.463033i	−0.848808	−	0.528701i	$-0.822679\pi$
$701$	−19.0761	+	12.2594i	−0.720493	+	0.463033i	0.128315	+	0.991733i	$0.459043\pi$
$702$	1.48002	−	15.3409i	0.0558599	−	0.579005i
$703$	−10.1746	−	11.7422i	−0.383744	−	0.442864i
$704$	−1.86041	+	0.546267i	−0.0701170	+	0.0205882i
$705$	−0.641312	−	0.245250i	−0.0241532	−	0.00923663i
$706$	4.89110	−	5.64463i	0.184079	−	0.212438i
$707$	1.43618	−	3.14479i	0.0540130	−	0.118272i
$708$	−10.2407	+	18.3916i	−0.384868	+	0.691199i
$709$	6.28333	−	2.86950i	0.235975	−	0.107766i	−0.293918	−	0.955831i	$-0.594959\pi$
$709$	6.28333	−	2.86950i	0.235975	−	0.107766i	0.529893	+	0.848064i	$0.322232\pi$
$710$	−0.502798	−	3.49704i	−0.0188697	−	0.131241i
$711$	25.5666	−	15.8401i	0.958822	−	0.594050i
$712$		−	16.0671i		−	0.602142i
$713$	−23.2899	−	2.60610i	−0.872212	−	0.0975992i
$714$	−3.98612	−	0.901670i	−0.149177	−	0.0337442i
$715$	1.43939	+	0.925042i	0.0538303	+	0.0345946i
$716$	−16.2242	+	2.33269i	−0.606327	+	0.0871767i
$717$	20.1003	−	4.19898i	0.750658	−	0.156814i
$718$	−0.226287	+	0.770662i	−0.00844495	+	0.0287609i
$719$	−34.6061	−	15.8041i	−1.29059	−	0.589392i	−0.352508	−	0.935809i	$-0.614671\pi$
$719$	−34.6061	−	15.8041i	−1.29059	−	0.589392i	−0.938081	+	0.346417i	$0.887398\pi$
$720$	0.817892	−	0.357311i	0.0304810	−	0.0133162i
$721$	−1.47602	+	10.2660i	−0.0549699	+	0.382324i
$722$	2.33370	+	7.94784i	0.0868512	+	0.295788i
$723$	5.84702	−	3.13031i	0.217453	−	0.116417i
$724$	−2.77120	−	4.31208i	−0.102991	−	0.160257i
$725$	−6.48107	−	10.0847i	−0.240701	−	0.374538i
$726$	11.0561	−	5.91907i	0.410330	−	0.219677i
$727$	−3.33205	−	11.3479i	−0.123579	−	0.420872i	0.874343	−	0.485309i	$-0.161293\pi$
$727$	−3.33205	−	11.3479i	−0.123579	−	0.420872i	−0.997922	+	0.0644374i	$0.979475\pi$
$728$	0.422115	−	2.93588i	0.0156446	−	0.108811i
$729$	−23.9743	−	12.4190i	−0.887937	−	0.459964i
$730$	0.874146	+	0.399209i	0.0323536	+	0.0147754i
$731$	4.96198	−	16.8990i	0.183526	−	0.625031i
$732$	4.75493	−	0.993313i	0.175747	−	0.0367139i
$733$	13.9868	−	2.01100i	0.516616	−	0.0742781i	0.120924	−	0.992662i	$-0.461414\pi$
$733$	13.9868	−	2.01100i	0.516616	−	0.0742781i	0.395691	+	0.918384i	$0.370505\pi$
$734$	23.5521	+	15.1360i	0.869324	+	0.558681i
$735$	0.502607	+	0.113691i	0.0185389	+	0.00419356i
$736$	4.55693	−	1.49478i	0.167971	−	0.0550984i
$737$		−	3.34708i		−	0.123291i
$738$	11.2180	+	18.1063i	0.412941	+	0.666504i
$739$	0.901977	+	6.27339i	0.0331798	+	0.230770i	0.999663	−	0.0259594i	$-0.00826408\pi$
$739$	0.901977	+	6.27339i	0.0331798	+	0.230770i	−0.966483	+	0.256730i	$0.917355\pi$
$740$	1.28443	−	0.586579i	0.0472166	−	0.0215631i
$741$	8.18158	−	14.6936i	0.300558	−	0.539783i
$742$	−0.848801	+	1.85861i	−0.0311605	+	0.0682319i
$743$	22.6716	−	26.1644i	0.831741	−	0.959880i	−0.167923	−	0.985800i	$-0.553706\pi$
$743$	22.6716	−	26.1644i	0.831741	−	0.959880i	0.999664	+	0.0259202i	$0.00825159\pi$
$744$	7.90546	+	3.02319i	0.289828	+	0.110836i
$745$	−2.16845	+	0.636715i	−0.0794460	+	0.0233274i
$746$	0.372621	+	0.430028i	0.0136426	+	0.0157444i
$747$	−14.4040	+	1.82868i	−0.527014	+	0.0669079i
$748$	−3.84875	+	2.47344i	−0.140724	+	0.0904380i
$749$	−8.56002	+	7.41730i	−0.312776	+	0.271022i
$750$	0.322272	+	5.09726i	0.0117677	+	0.186126i
$751$	10.7628	+	1.54746i	0.392740	+	0.0564676i	0.335856	−	0.941913i	$-0.390974\pi$
$751$	10.7628	+	1.54746i	0.392740	+	0.0564676i	0.0568841	+	0.998381i	$0.481883\pi$
$752$	1.00698	+	0.872555i	0.0367208	+	0.0318188i
$753$	16.3179	−	21.4269i	0.594656	−	0.780841i
$754$	−6.94621	−	2.03959i	−0.252966	−	0.0742775i
$755$	−2.40047	−	5.25631i	−0.0873622	−	0.191297i
$756$	−4.49746	−	2.60248i	−0.163571	−	0.0946512i
$757$	4.58986	−	7.14196i	0.166821	−	0.259579i	−0.747771	−	0.663957i	$-0.768876\pi$
$757$	4.58986	−	7.14196i	0.166821	−	0.259579i	0.914592	+	0.404378i	$0.132512\pi$
$758$	−28.4601			−1.03372
$759$	13.9539	−	8.04340i	0.506496	−	0.291957i
$760$	0.973941			0.0353286
$761$	5.11500	−	7.95910i	0.185419	−	0.288517i	−0.736083	−	0.676891i	$-0.763327\pi$
$761$	5.11500	−	7.95910i	0.185419	−	0.288517i	0.921502	+	0.388374i	$0.126963\pi$
$762$	−24.0350	−	1.91867i	−0.870696	−	0.0695060i
$763$	4.01388	+	8.78918i	0.145312	+	0.318190i
$764$	−5.23551	−	1.53728i	−0.189414	−	0.0556170i
$765$	1.61414	−	1.35263i	0.0583594	−	0.0489046i
$766$	12.8518	+	11.1362i	0.464355	+	0.402366i
$767$	−35.6812	−	5.13018i	−1.28837	−	0.185240i
$768$	−1.72860	+	0.109290i	−0.0623755	+	0.00394366i
$769$	−25.8293	+	22.3812i	−0.931430	+	0.807088i	−0.981462	−	0.191659i	$-0.938613\pi$
$769$	−25.8293	+	22.3812i	−0.931430	+	0.807088i	0.0500319	+	0.998748i	$0.484068\pi$
$770$	0.485287	−	0.311875i	0.0174885	−	0.0112392i
$771$	9.33441	+	25.6721i	0.336171	+	0.924559i
$772$	4.87981	+	5.63160i	0.175628	+	0.202686i
$773$	25.3417	−	7.44099i	0.911477	−	0.267634i	0.207815	−	0.978168i	$-0.433365\pi$
$773$	25.3417	−	7.44099i	0.911477	−	0.267634i	0.703663	+	0.710534i	$0.251547\pi$
$774$	12.4161	−	18.6357i	0.446289	−	0.669847i
$775$	−15.7169	+	18.1383i	−0.564568	+	0.651546i
$776$	−4.46920	+	9.78618i	−0.160435	+	0.351304i
$777$	−7.18223	−	3.99915i	−0.257661	−	0.143469i
$778$	29.6372	−	13.5349i	1.06255	−	0.485249i
$779$	3.30776	+	23.0060i	0.118513	+	0.824275i
$780$	1.07180	+	1.08965i	0.0383766	+	0.0390158i
$781$			23.0254i			0.823913i
$782$	9.32301	−	6.41336i	0.333390	−	0.229341i
$783$	−7.84958	+	9.96149i	−0.280521	+	0.355994i
$784$	−0.841254	−	0.540641i	−0.0300448	−	0.0193086i
$785$	5.75742	−	0.827791i	0.205491	−	0.0295451i
$786$	−2.92021	−	13.9789i	−0.104160	−	0.498610i
$787$	6.07873	−	20.7023i	0.216683	−	0.737956i	−0.777368	−	0.629046i	$-0.783446\pi$
$787$	6.07873	−	20.7023i	0.216683	−	0.737956i	0.994052	−	0.108910i	$-0.0347360\pi$
$788$	−12.5027	−	5.70981i	−0.445392	−	0.203404i
$789$	14.9417	−	10.9938i	0.531939	−	0.391391i
$790$	−0.424474	+	2.95228i	−0.0151021	+	0.105037i
$791$	1.50194	+	5.11515i	0.0534030	+	0.181874i
$792$	−5.60755	+	1.54639i	−0.199256	+	0.0549484i
$793$	4.49727	+	6.99789i	0.159703	+	0.248502i
$794$	−12.8747	−	20.0335i	−0.456907	−	0.710961i
$795$	−0.496953	−	0.928246i	−0.0176251	−	0.0329215i
$796$	0.239036	+	0.814082i	0.00847240	+	0.0288544i
$797$	5.21749	−	36.2884i	0.184813	−	1.28540i	−0.660376	−	0.750935i	$-0.729603\pi$
$797$	5.21749	−	36.2884i	0.184813	−	1.28540i	0.845189	−	0.534467i	$-0.179488\pi$
$798$	−3.36035	−	4.56705i	−0.118955	−	0.161672i
$799$	2.85979	+	1.30602i	0.101172	+	0.0462038i
$800$	1.38373	−	4.71254i	0.0489221	−	0.166613i
$801$	0.796189	−	48.1949i	0.0281320	−	1.70288i
$802$	17.6741	−	2.54115i	0.624094	−	0.0897312i
$803$	−5.26877	−	3.38603i	−0.185931	−	0.119490i
$804$	0.659661	−	2.91624i	0.0232644	−	0.102848i
$805$	−1.17553	+	0.808656i	−0.0414321	+	0.0285014i
$806$			14.4939i			0.510527i
$807$	8.46186	−	8.32322i	0.297872	−	0.292991i
$808$	−0.492013	−	3.42202i	−0.0173089	−	0.120386i
$809$	−5.07586	+	2.31807i	−0.178458	+	0.0814990i	−0.502641	−	0.864496i	$-0.667638\pi$
$809$	−5.07586	+	2.31807i	−0.178458	+	0.0814990i	0.324183	+	0.945995i	$0.394911\pi$
$810$	2.47105	−	1.03126i	0.0868237	−	0.0362347i
$811$	7.25263	−	15.8810i	0.254674	−	0.557659i	−0.738506	−	0.674247i	$-0.764468\pi$
$811$	7.25263	−	15.8810i	0.254674	−	0.557659i	0.993180	+	0.116588i	$0.0371957\pi$
$812$	−1.59836	+	1.84460i	−0.0560913	+	0.0647328i
$813$	12.0684	−	31.5581i	0.423257	−	1.10679i
$814$	−8.82979	+	2.59266i	−0.309484	+	0.0908727i
$815$	−3.94563	−	4.55350i	−0.138209	−	0.159502i
$816$	−3.84082	+	1.39652i	−0.134455	+	0.0488881i
$817$	20.5565	−	13.2109i	0.719180	−	0.462189i
$818$	−4.23582	+	3.67036i	−0.148102	+	0.128331i
$819$	1.41166	−	8.78551i	0.0493273	−	0.306991i
$820$	−2.09082	−	0.300614i	−0.0730145	−	0.0104979i
$821$	35.3316	+	30.6150i	1.23308	+	1.06847i	0.995269	+	0.0971618i	$0.0309764\pi$
$821$	35.3316	+	30.6150i	1.23308	+	1.06847i	0.237814	+	0.971311i	$0.423569\pi$
$822$	16.1095	+	12.2684i	0.561884	+	0.427908i
$823$	39.5183	+	11.6036i	1.37752	+	0.404477i	0.884906	−	0.465769i	$-0.154222\pi$
$823$	39.5183	+	11.6036i	1.37752	+	0.404477i	0.492617	+	0.870246i	$0.336041\pi$
$824$	4.30849	+	9.43427i	0.150093	+	0.328659i
$825$	1.31256	−	16.4423i	0.0456973	−	0.572447i
$826$	−6.57068	+	10.2242i	−0.228623	+	0.355744i
$827$	47.3223			1.64556			0.822778	−	0.568362i	$-0.192423\pi$
$827$	47.3223			1.64556			0.822778	+	0.568362i	$0.192423\pi$
$828$	13.7430	−	4.25792i	0.477602	−	0.147973i
$829$	−23.1417			−0.803743			−0.401872	−	0.915696i	$-0.631640\pi$
$829$	−23.1417			−0.803743			−0.401872	+	0.915696i	$0.631640\pi$
$830$	0.778478	−	1.21133i	0.0270214	−	0.0420460i
$831$	−3.54662	+	44.4282i	−0.123031	+	1.54120i
$832$	−1.23215	−	2.69803i	−0.0427171	−	0.0935374i
$833$	−2.26395	−	0.664756i	−0.0784413	−	0.0230324i
$834$	−17.2977	−	13.1732i	−0.598969	−	0.456150i
$835$	−2.97535	−	2.57815i	−0.102966	−	0.0892207i
$836$	−6.28281	−	0.903331i	−0.217295	−	0.0312424i
$837$	23.5633	+	9.46009i	0.814468	+	0.326988i
$838$	22.7471	−	19.7104i	0.785784	−	0.680886i
$839$	−25.6027	+	16.4538i	−0.883902	+	0.568050i	−0.901976	−	0.431787i	$-0.857883\pi$
$839$	−25.6027	+	16.4538i	−0.883902	+	0.568050i	0.0180732	+	0.999837i	$0.494247\pi$
$840$	0.484286	−	0.176087i	0.0167094	−	0.00607557i
$841$	−15.0898	−	17.4145i	−0.520337	−	0.600500i
$842$	−9.30839	+	2.73319i	−0.320788	+	0.0941920i
$843$	5.65061	−	14.7760i	0.194617	−	0.508912i
$844$	−6.59141	+	7.60690i	−0.226886	+	0.261840i
$845$	0.519383	−	1.13729i	0.0178673	−	0.0391240i
$846$	2.97729	+	2.66721i	0.102361	+	0.0917004i
$847$	6.58615	−	3.00779i	0.226303	−	0.103349i
$848$	0.290786	+	2.02246i	0.00998564	+	0.0694516i
$849$	18.0023	−	17.7074i	0.617839	−	0.607716i
$850$		−	11.5888i		−	0.397493i
$851$	21.6279	−	7.09444i	0.741393	−	0.243194i
$852$	−4.53797	+	20.0615i	−0.155468	+	0.687297i
$853$	−29.1918	−	18.7605i	−0.999509	−	0.642346i	−0.0648519	−	0.997895i	$-0.520657\pi$
$853$	−29.1918	−	18.7605i	−0.999509	−	0.642346i	−0.934658	+	0.355549i	$0.884294\pi$
$854$	2.77598	−	0.399125i	0.0949919	−	0.0136578i
$855$	2.92143	+	0.0482626i	0.0999106	+	0.00165054i
$856$	−3.19105	+	10.8677i	−0.109068	+	0.371451i
$857$	−36.5798	−	16.7054i	−1.24954	−	0.570647i	−0.322844	−	0.946452i	$-0.604639\pi$
$857$	−36.5798	−	16.7054i	−1.24954	−	0.570647i	−0.926699	+	0.375805i	$0.877366\pi$
$858$	−5.90343	−	8.02334i	−0.201540	−	0.273912i
$859$	4.18093	−	29.0790i	0.142652	−	0.992163i	−0.785208	−	0.619232i	$-0.787444\pi$
$859$	4.18093	−	29.0790i	0.142652	−	0.992163i	0.927859	−	0.372931i	$-0.121647\pi$
$860$	0.625653	+	2.13078i	0.0213346	+	0.0726590i
$861$	5.80421	+	10.8415i	0.197807	+	0.369479i
$862$	12.3972	+	19.2904i	0.422251	+	0.657035i
$863$	−16.1055	−	25.0607i	−0.548239	−	0.853076i	0.450982	−	0.892533i	$-0.351074\pi$
$863$	−16.1055	−	25.0607i	−0.548239	−	0.853076i	−0.999221	+	0.0394565i	$0.987437\pi$
$864$	−5.19051	+	0.242166i	−0.176585	+	0.00823866i
$865$	1.04521	+	3.55965i	0.0355381	+	0.121032i
$866$	−1.44265	+	10.0339i	−0.0490233	+	0.340965i
$867$	15.9497	−	11.7355i	0.541680	−	0.398558i
$868$	4.44499	+	2.02996i	0.150873	+	0.0689013i
$869$	5.47649	−	18.6512i	0.185777	−	0.632699i
$870$	−0.257191	−	1.23116i	−0.00871960	−	0.0417402i
$871$	5.06800	−	0.728668i	0.171722	−	0.0246900i
$872$	8.12848	+	5.22386i	0.275265	+	0.176902i
$873$	−13.8907	+	29.1331i	−0.470129	+	0.986005i
$874$	15.6024	+	1.74588i	0.527758	+	0.0590553i
$875$			2.94878i			0.0996870i
$876$	−3.92322	−	3.98857i	−0.132553	−	0.134761i
$877$	0.255147	+	1.77459i	0.00861570	+	0.0599235i	0.993676	−	0.112288i	$-0.0358179\pi$
$877$	0.255147	+	1.77459i	0.00861570	+	0.0599235i	−0.985060	+	0.172211i	$0.944909\pi$
$878$	−34.3386	+	15.6819i	−1.15887	+	0.529239i
$879$	−2.84969	−	1.58674i	−0.0961175	−	0.0535194i
$880$	0.239637	−	0.524732i	0.00807816	−	0.0176887i
$881$	34.0380	−	39.2819i	1.14677	−	1.32344i	0.208304	−	0.978064i	$-0.433206\pi$
$881$	34.0380	−	39.2819i	1.14677	−	1.32344i	0.938464	−	0.345377i	$-0.112249\pi$
$882$	−2.49663	−	1.66339i	−0.0840658	−	0.0560092i
$883$	16.8450	−	4.94613i	0.566879	−	0.166451i	0.0142799	−	0.999898i	$-0.495454\pi$
$883$	16.8450	−	4.94613i	0.566879	−	0.166451i	0.552599	+	0.833447i	$0.313636\pi$
$884$	−4.58306	−	5.28913i	−0.154145	−	0.177893i
$885$	−2.14007	−	5.88577i	−0.0719377	−	0.197848i
$886$	−18.0763	+	11.6170i	−0.607286	+	0.390279i
$887$	18.2478	−	15.8118i	0.612702	−	0.530910i	−0.292294	−	0.956328i	$-0.594419\pi$
$887$	18.2478	−	15.8118i	0.612702	−	0.530910i	0.904997	+	0.425419i	$0.139873\pi$
$888$	−8.20418	+	0.518705i	−0.275314	+	0.0174066i
$889$	−13.7791	−	1.98113i	−0.462135	−	0.0664450i
$890$	3.61261	+	3.13034i	0.121095	+	0.104929i
$891$	−16.8970	+	4.36065i	−0.566070	+	0.146087i
$892$	−3.46454	−	1.01728i	−0.116001	−	0.0340611i
$893$	1.81199	+	3.96770i	0.0606358	+	0.132774i
$894$	13.1155	+	1.04699i	0.438649	+	0.0350165i
$895$	2.63645	−	4.10240i	0.0881268	−	0.137128i
$896$	−1.00000			−0.0334077
$897$	15.2168	+	19.3774i	0.508073	+	0.646991i
$898$	−7.74922			−0.258595
$899$	6.44820	−	10.0336i	0.215060	−	0.334639i
$900$	4.38414	−	14.0671i	0.146138	−	0.468904i
$901$	2.00277	+	4.38546i	0.0667220	+	0.146101i
$902$	13.2088	+	3.87847i	0.439806	+	0.129139i
$903$	7.83308	−	10.2856i	0.260668	−	0.342283i
$904$	4.02897	+	3.49113i	0.134002	+	0.116113i
$905$	1.50945	+	0.217027i	0.0501760	+	0.00721422i
$906$	2.12271	+	33.5742i	0.0705224	+	1.11543i
$907$	30.7966	−	26.6854i	1.02258	−	0.886074i	0.0290461	−	0.999578i	$-0.490753\pi$
$907$	30.7966	−	26.6854i	1.02258	−	0.886074i	0.993538	+	0.113504i	$0.0362076\pi$
$908$	−14.0440	+	9.02555i	−0.466068	+	0.299524i
$909$	−1.30626	−	10.2890i	−0.0433260	−	0.341266i
$910$	0.577875	+	0.666903i	0.0191564	+	0.0221076i
$911$	−17.2173	+	5.05545i	−0.570434	+	0.167495i	−0.554214	−	0.832374i	$-0.686981\pi$
$911$	−17.2173	+	5.05545i	−0.570434	+	0.167495i	−0.0162195	+	0.999868i	$0.505163\pi$
$912$	−5.29604	−	2.02530i	−0.175369	−	0.0670645i
$913$	−6.14540	+	7.09217i	−0.203383	+	0.234717i
$914$	−11.3220	+	24.7918i	−0.374499	+	0.820039i
$915$	−0.703056	+	1.26264i	−0.0232423	+	0.0417417i
$916$	−3.96948	+	1.81280i	−0.131155	+	0.0598966i
$917$	−1.17338	−	8.16100i	−0.0387483	−	0.269500i
$918$	−11.5901	+	3.99867i	−0.382530	+	0.131976i
$919$			20.7385i			0.684100i	0.939682	+	0.342050i	$0.111121\pi$
$919$			20.7385i			0.684100i	−0.939682	+	0.342050i	$0.888879\pi$
$920$	−0.551728	+	1.31583i	−0.0181899	+	0.0433815i
$921$	−12.6113	−	2.85272i	−0.415557	−	0.0940002i
$922$	25.8294	+	16.5995i	0.850644	+	0.546676i
$923$	−34.8640	+	5.01269i	−1.14756	+	0.164995i
$924$	−3.28740	+	0.686744i	−0.108148	+	0.0225922i
$925$	6.56736	−	22.3664i	0.215933	−	0.735402i
$926$	12.8394	+	5.86356i	0.421929	+	0.192689i
$927$	12.4562	+	28.5125i	0.409115	+	0.936472i
$928$	−0.347356	+	2.41591i	−0.0114025	+	0.0793063i
$929$	−12.3231	−	41.9685i	−0.404307	−	1.37694i	−0.870460	−	0.492238i	$-0.836179\pi$
$929$	−12.3231	−	41.9685i	−0.404307	−	1.37694i	0.466154	−	0.884704i	$-0.345639\pi$
$930$	−2.21996	+	1.18849i	−0.0727953	+	0.0389722i
$931$	−1.76986	−	2.75395i	−0.0580047	−	0.0902570i
$932$	14.1997	+	22.0952i	0.465127	+	0.723752i
$933$	9.40884	−	5.03719i	0.308032	−	0.164910i
$934$	−8.67046	−	29.5289i	−0.283706	−	0.966215i
$935$	0.193708	−	1.34727i	0.00633492	−	0.0440604i
$936$	−3.56225	−	8.15404i	−0.116436	−	0.266523i
$937$	13.1589	+	6.00945i	0.429881	+	0.196320i	0.618592	−	0.785713i	$-0.287704\pi$
$937$	13.1589	+	6.00945i	0.429881	+	0.196320i	−0.188711	+	0.982033i	$0.560431\pi$
$938$	0.486335	−	1.65630i	0.0158794	−	0.0540803i
$939$	−36.6284	+	7.65174i	−1.19532	+	0.249705i
$940$	−0.392378	+	0.0564154i	−0.0127979	+	0.00184007i
$941$	33.6102	+	21.5999i	1.09566	+	0.704138i	0.958122	−	0.286359i	$-0.0924449\pi$
$941$	33.6102	+	21.5999i	1.09566	+	0.704138i	0.137537	+	0.990497i	$0.456081\pi$
$942$	−33.0287	−	7.47118i	−1.07613	−	0.243424i
$943$	−32.9557	−	8.56377i	−1.07318	−	0.278875i
$944$			12.1535i			0.395563i
$945$	1.46138	−	0.504190i	0.0475389	−	0.0164013i
$946$	−2.05973	−	14.3258i	−0.0669677	−	0.465770i
$947$	−10.0470	+	4.58832i	−0.326484	+	0.149100i	−0.571913	−	0.820314i	$-0.693798\pi$
$947$	−10.0470	+	4.58832i	−0.326484	+	0.149100i	0.245429	+	0.969415i	$0.421071\pi$
$948$	8.44742	−	15.1710i	0.274360	−	0.492733i
$949$	3.97995	−	8.71487i	0.129195	−	0.282897i
$950$	10.5291	−	12.1512i	0.341609	−	0.394238i
$951$	29.4909	+	11.2779i	0.956309	+	0.365710i
$952$	−2.26395	+	0.664756i	−0.0733751	+	0.0215449i
$953$	−9.47944	−	10.9399i	−0.307069	−	0.354377i	0.581150	−	0.813796i	$-0.302603\pi$
$953$	−9.47944	−	10.9399i	−0.307069	−	0.354377i	−0.888219	+	0.459420i	$0.848057\pi$
$954$	0.772019	+	6.08097i	0.0249950	+	0.196879i
$955$	1.36568	−	0.877667i	0.0441922	−	0.0284006i
$956$	8.95971	−	7.76364i	0.289778	−	0.251094i
$957$	0.517217	+	8.18063i	0.0167192	+	0.264442i
$958$	28.4696	+	4.09331i	0.919811	+	0.132249i
$959$	8.83537	+	7.65589i	0.285309	+	0.247222i
$960$	0.312207	−	0.409958i	0.0100765	−	0.0132313i
$961$	6.83288	+	2.00631i	0.220415	+	0.0647198i
$962$	−5.84796	−	12.8052i	−0.188546	−	0.412857i
$963$	−10.1104	+	32.4406i	−0.325803	+	1.04538i
$964$	2.07018	−	3.22126i	0.0666760	−	0.103750i
$965$	−2.21696			−0.0713664
$966$	8.07383	−	1.95275i	0.259771	−	0.0628288i
$967$	16.8925			0.543225			0.271612	−	0.962407i	$-0.412443\pi$
$967$	16.8925			0.543225			0.271612	+	0.962407i	$0.412443\pi$
$968$	3.91448	−	6.09106i	0.125816	−	0.195774i
$969$	−13.3363	−	1.06461i	−0.428424	−	0.0342003i
$970$	−1.32964	−	2.91150i	−0.0426921	−	0.0934827i
$971$	−14.2015	−	4.16993i	−0.455747	−	0.133819i	0.0457984	−	0.998951i	$-0.485417\pi$
$971$	−14.2015	−	4.16993i	−0.455747	−	0.133819i	−0.501545	+	0.865131i	$0.667235\pi$
$972$	−15.5814	+	0.469189i	−0.499773	+	0.0150493i
$973$	−9.48701	−	8.22054i	−0.304140	−	0.263538i
$974$	34.0945	+	4.90205i	1.09246	+	0.157072i
$975$	25.1819	−	1.59211i	0.806466	−	0.0509884i
$976$	2.11952	−	1.83657i	0.0678441	−	0.0587872i
$977$	41.1239	−	26.4287i	1.31567	−	0.845530i	0.320845	−	0.947132i	$-0.396033\pi$
$977$	41.1239	−	26.4287i	1.31567	−	0.845530i	0.994825	+	0.101602i	$0.0323967\pi$
$978$	11.9863	+	32.9657i	0.383281	+	1.05413i
$979$	−20.4012	−	23.5442i	−0.652025	−	0.752477i
$980$	0.285460	−	0.0838187i	0.00911869	−	0.00267749i
$981$	24.1233	+	16.0722i	0.770196	+	0.513147i
$982$	6.66465	−	7.69142i	0.212678	−	0.245443i
$983$	−20.2361	+	44.3110i	−0.645433	+	1.41330i	0.250062	+	0.968230i	$0.419549\pi$
$983$	−20.2361	+	44.3110i	−0.645433	+	1.41330i	−0.895495	+	0.445071i	$0.853178\pi$
$984$	10.7442	+	5.98249i	0.342512	+	0.190715i
$985$	3.71971	−	1.69873i	0.118520	−	0.0541262i
$986$	0.819597	+	5.70042i	0.0261013	+	0.181538i
$987$	1.61835	+	1.64531i	0.0515127	+	0.0523707i
$988$		−	9.70980i		−	0.308910i
$989$	6.20324	+	35.2563i	0.197252	+	1.12108i
$990$	0.744815	−	1.56211i	0.0236718	−	0.0496470i
$991$	1.17847	+	0.757357i	0.0374354	+	0.0240582i	0.559225	−	0.829016i	$-0.311099\pi$
$991$	1.17847	+	0.757357i	0.0374354	+	0.0240582i	−0.521789	+	0.853074i	$0.674735\pi$
$992$	4.83684	−	0.695433i	0.153570	−	0.0220800i
$993$	−4.37974	−	20.9655i	−0.138987	−	0.665321i
$994$	−3.34562	+	11.3941i	−0.106117	+	0.361400i
$995$	−0.229613	−	0.104861i	−0.00727921	−	0.00332430i
$996$	−6.75212	+	4.96809i	−0.213949	+	0.157420i
$997$	4.86183	−	33.8148i	0.153976	−	1.07092i	−0.755494	−	0.655155i	$-0.772603\pi$
$997$	4.86183	−	33.8148i	0.153976	−	1.07092i	0.909470	−	0.415769i	$-0.136488\pi$
$998$	3.67469	+	12.5149i	0.116320	+	0.396151i
$999$	−24.6349	+	1.14935i	−0.779413	+	0.0363640i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.r.b.113.19	yes	240
3.2	odd	2		966.2.r.a.113.5	✓	240
23.11	odd	22		966.2.r.a.701.5	yes	240
69.11	even	22	inner	966.2.r.b.701.19	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.r.a.113.5	✓	240	3.2	odd	2
966.2.r.a.701.5	yes	240	23.11	odd	22
966.2.r.b.113.19	yes	240	1.1	even	1	trivial
966.2.r.b.701.19	yes	240	69.11	even	22	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	966.r (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(0.540641 - 0.841254i) q^{2} +(0.137828 - 1.72656i) q^{3} +(-0.415415 - 0.909632i) q^{4} +(0.285460 + 0.0838187i) q^{5} +(-1.37796 - 1.04940i) q^{6} +(-0.755750 - 0.654861i) q^{7} +(-0.989821 - 0.142315i) q^{8} +(-2.96201 - 0.475936i) q^{9} +O(q^{10})\)	\(q+(0.540641 - 0.841254i) q^{2} +(0.137828 - 1.72656i) q^{3} +(-0.415415 - 0.909632i) q^{4} +(0.285460 + 0.0838187i) q^{5} +(-1.37796 - 1.04940i) q^{6} +(-0.755750 - 0.654861i) q^{7} +(-0.989821 - 0.142315i) q^{8} +(-2.96201 - 0.475936i) q^{9} +(0.224844 - 0.194829i) q^{10} +(-1.63115 + 1.04828i) q^{11} +(-1.62779 + 0.591866i) q^{12} +(-1.94236 - 2.24160i) q^{13} +(-0.959493 + 0.281733i) q^{14} +(0.184062 - 0.481311i) q^{15} +(-0.654861 + 0.755750i) q^{16} +(-0.980184 + 2.14630i) q^{17} +(-2.00176 + 2.23449i) q^{18} +(-2.97779 + 1.35991i) q^{19} +(-0.0423403 - 0.294483i) q^{20} +(-1.23482 + 1.21459i) q^{21} +1.93895i q^{22} +(-0.150396 - 4.79347i) q^{23} +(-0.382140 + 1.68937i) q^{24} +(-4.13181 - 2.65535i) q^{25} +(-2.93588 + 0.422115i) q^{26} +(-1.22998 + 5.04848i) q^{27} +(-0.281733 + 0.959493i) q^{28} +(2.22019 + 1.01393i) q^{29} +(-0.305393 - 0.415059i) q^{30} +(0.695433 - 4.83684i) q^{31} +(0.281733 + 0.959493i) q^{32} +(1.58510 + 2.96076i) q^{33} +(1.27566 + 1.98496i) q^{34} +(-0.160847 - 0.250283i) q^{35} +(0.797536 + 2.89205i) q^{36} +(1.33714 + 4.55389i) q^{37} +(-0.465886 + 3.24030i) q^{38} +(-4.13797 + 3.04464i) q^{39} +(-0.270626 - 0.123591i) q^{40} +(2.00029 - 6.81235i) q^{41} +(0.354183 + 1.69545i) q^{42} +(-7.38839 + 1.06229i) q^{43} +(1.63115 + 1.04828i) q^{44} +(-0.805643 - 0.384132i) q^{45} +(-4.11384 - 2.46503i) q^{46} -1.33243i q^{47} +(1.21459 + 1.23482i) q^{48} +(0.142315 + 0.989821i) q^{49} +(-4.46765 + 2.04031i) q^{50} +(3.57062 + 1.98817i) q^{51} +(-1.23215 + 2.69803i) q^{52} +(1.33805 - 1.54419i) q^{53} +(3.58208 + 3.76414i) q^{54} +(-0.553494 + 0.162521i) q^{55} +(0.654861 + 0.755750i) q^{56} +(1.93755 + 5.32877i) q^{57} +(2.05330 - 1.31957i) q^{58} +(9.18500 - 7.95885i) q^{59} +(-0.514278 + 0.0325150i) q^{60} +(-2.77598 - 0.399125i) q^{61} +(-3.69303 - 3.20003i) q^{62} +(1.92686 + 2.29939i) q^{63} +(0.959493 + 0.281733i) q^{64} +(-0.366579 - 0.802695i) q^{65} +(3.34772 + 0.267242i) q^{66} +(-0.933270 + 1.45220i) q^{67} +2.35953 q^{68} +(-8.29694 - 0.401008i) q^{69} -0.297512 q^{70} +(6.42019 - 9.99002i) q^{71} +(2.86413 + 0.892629i) q^{72} +(1.34183 + 2.93819i) q^{73} +(4.55389 + 1.33714i) q^{74} +(-5.15410 + 6.76782i) q^{75} +(2.47404 + 2.14377i) q^{76} +(1.91922 + 0.275942i) q^{77} +(0.324161 + 5.12714i) q^{78} +(-7.57661 + 6.56517i) q^{79} +(-0.250283 + 0.160847i) q^{80} +(8.54697 + 2.81945i) q^{81} +(-4.64948 - 5.36578i) q^{82} +(4.64382 - 1.36355i) q^{83} +(1.61779 + 0.618673i) q^{84} +(-0.459704 + 0.530527i) q^{85} +(-3.10081 + 6.78983i) q^{86} +(2.05661 - 3.69354i) q^{87} +(1.76374 - 0.805471i) q^{88} +(2.28659 + 15.9036i) q^{89} +(-0.758716 + 0.470072i) q^{90} +2.96607i q^{91} +(-4.29782 + 2.12809i) q^{92} +(-8.25524 - 1.86736i) q^{93} +(-1.12091 - 0.720365i) q^{94} +(-0.964028 + 0.138606i) q^{95} +(1.69545 - 0.354183i) q^{96} +(3.03099 - 10.3226i) q^{97} +(0.909632 + 0.415415i) q^{98} +(5.33040 - 2.32868i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 4 q^{3} + 24 q^{4} + 4 q^{5} + 4 q^{9}+O(q^{10}) \) 240 * q - 4 * q^3 + 24 * q^4 + 4 * q^5 + 4 * q^9	\( 240 q - 4 q^{3} + 24 q^{4} + 4 q^{5} + 4 q^{9} + 4 q^{12} - 8 q^{13} - 24 q^{14} + 26 q^{15} - 24 q^{16} - 32 q^{17} + 40 q^{18} - 4 q^{20} + 8 q^{23} + 12 q^{25} + 116 q^{27} + 4 q^{30} + 16 q^{31} + 2 q^{33} - 4 q^{36} + 22 q^{37} + 8 q^{39} - 154 q^{41} - 4 q^{42} + 22 q^{43} - 24 q^{45} + 4 q^{46} - 4 q^{48} + 24 q^{49} - 88 q^{50} - 24 q^{51} + 8 q^{52} + 108 q^{53} + 12 q^{54} - 16 q^{55} + 24 q^{56} - 70 q^{57} - 4 q^{58} - 22 q^{59} - 26 q^{60} + 4 q^{63} + 24 q^{64} - 76 q^{66} - 44 q^{67} + 32 q^{68} - 86 q^{69} + 4 q^{70} + 4 q^{72} - 12 q^{73} + 16 q^{74} - 26 q^{75} - 78 q^{78} + 4 q^{80} - 168 q^{81} + 8 q^{82} - 16 q^{83} - 28 q^{85} - 16 q^{86} + 156 q^{87} - 24 q^{89} - 126 q^{90} - 8 q^{92} - 16 q^{93} - 8 q^{94} + 132 q^{97} - 172 q^{99}+O(q^{100}) \) 240 * q - 4 * q^3 + 24 * q^4 + 4 * q^5 + 4 * q^9 + 4 * q^12 - 8 * q^13 - 24 * q^14 + 26 * q^15 - 24 * q^16 - 32 * q^17 + 40 * q^18 - 4 * q^20 + 8 * q^23 + 12 * q^25 + 116 * q^27 + 4 * q^30 + 16 * q^31 + 2 * q^33 - 4 * q^36 + 22 * q^37 + 8 * q^39 - 154 * q^41 - 4 * q^42 + 22 * q^43 - 24 * q^45 + 4 * q^46 - 4 * q^48 + 24 * q^49 - 88 * q^50 - 24 * q^51 + 8 * q^52 + 108 * q^53 + 12 * q^54 - 16 * q^55 + 24 * q^56 - 70 * q^57 - 4 * q^58 - 22 * q^59 - 26 * q^60 + 4 * q^63 + 24 * q^64 - 76 * q^66 - 44 * q^67 + 32 * q^68 - 86 * q^69 + 4 * q^70 + 4 * q^72 - 12 * q^73 + 16 * q^74 - 26 * q^75 - 78 * q^78 + 4 * q^80 - 168 * q^81 + 8 * q^82 - 16 * q^83 - 28 * q^85 - 16 * q^86 + 156 * q^87 - 24 * q^89 - 126 * q^90 - 8 * q^92 - 16 * q^93 - 8 * q^94 + 132 * q^97 - 172 * q^99

Introduction

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